diff options
| -rw-r--r-- | src/algebra/indexedp.spad.pamphlet | 34 | ||||
| -rw-r--r-- | src/share/algebra/browse.daase | 650 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 1579 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1316 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 9074 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 31205 |
6 files changed, 21929 insertions, 21929 deletions
diff --git a/src/algebra/indexedp.spad.pamphlet b/src/algebra/indexedp.spad.pamphlet index 43d67cf4..1b60ecc4 100644 --- a/src/algebra/indexedp.spad.pamphlet +++ b/src/algebra/indexedp.spad.pamphlet @@ -25,8 +25,9 @@ ++ This category represents the direct product of some set with ++ respect to an ordered indexing set. -IndexedDirectProductCategory(A:SetCategory,S:OrderedSet): Category == - SetCategory with +IndexedDirectProductCategory(A:BasicType,S:OrderedType): Category == + BasicType with + if A has SetCategory and S has SetCategory then SetCategory map: (A -> A, %) -> % ++ map(f,z) returns the new element created by applying the ++ function f to each component of the direct product element z. @@ -63,8 +64,8 @@ IndexedDirectProductCategory(A:SetCategory,S:OrderedSet): Category == ++ Indexed direct products of objects over a set \spad{A} ++ of generators indexed by an ordered set S. All items have finite support. IndexedDirectProductObject(A,S): Public == Private where - A: SetCategory - S: OrderedSet + A: BasicType + S: OrderedType Public == IndexedDirectProductCategory(A,S) Private == add Term == Pair(S,A) @@ -84,9 +85,10 @@ IndexedDirectProductObject(A,S): Public == Private where y' := rest y' null x' and null y' - coerce(x:%):OutputForm == - bracket [rarrow(termIndex(t)::OutputForm, termValue(t)::OutputForm) - for t in rep x] + if A has CoercibleTo OutputForm and S has CoercibleTo OutputForm then + coerce(x:%):OutputForm == + bracket [rarrow(termIndex(t)::OutputForm, termValue(t)::OutputForm) + for t in rep x] -- sample():% == [[sample()$S,sample()$A]$Term]$Rep @@ -113,11 +115,13 @@ IndexedDirectProductObject(A,S): Public == Private where ++ Indexed direct products of abelian monoids over an abelian monoid \spad{A} of ++ generators indexed by the ordered set S. All items have finite support. ++ Only non-zero terms are stored. -IndexedDirectProductAbelianMonoid(A:AbelianMonoid,S:OrderedSet): +IndexedDirectProductAbelianMonoid(A:AbelianMonoid,S:OrderedType): Join(AbelianMonoid,IndexedDirectProductCategory(A,S)) == IndexedDirectProductObject(A,S) add --representations Term == Pair(S,A) + import Term + import List Term termIndex(t: Term): S == first t termValue(t: Term): A == second t @@ -125,7 +129,7 @@ IndexedDirectProductAbelianMonoid(A:AbelianMonoid,S:OrderedSet): n: NonNegativeInteger f: A -> A s: S - 0 == per indexedDirectProductObject [] + 0 == nil$List(Term) pretend % zero? x == null terms x qsetrest!: (List Term, List Term) -> List Term @@ -178,7 +182,7 @@ IndexedDirectProductAbelianMonoid(A:AbelianMonoid,S:OrderedSet): monomial(r,s) == zero? r => 0 - per indexedDirectProductObject [[s,r]] + [[s,r]] pretend % map(f,x) == [[termIndex tm,a] for tm in terms x @@ -203,7 +207,7 @@ IndexedDirectProductAbelianMonoid(A:AbelianMonoid,S:OrderedSet): ++ generators indexed by the ordered set S. ++ The inherited order is lexicographical. ++ All items have finite support: only non-zero terms are stored. -IndexedDirectProductOrderedAbelianMonoid(A:OrderedAbelianMonoid,S:OrderedSet): +IndexedDirectProductOrderedAbelianMonoid(A:OrderedAbelianMonoid,S:OrderedType): Join(OrderedAbelianMonoid,IndexedDirectProductCategory(A,S)) == IndexedDirectProductAbelianMonoid(A,S) add --representations @@ -266,12 +270,8 @@ IndexedDirectProductOrderedAbelianMonoidSup(A:OrderedAbelianMonoidSup,S:OrderedS ++ Indexed direct products of abelian groups over an abelian group \spad{A} of ++ generators indexed by the ordered set S. ++ All items have finite support: only non-zero terms are stored. -IndexedDirectProductAbelianGroup(A:AbelianGroup,S:OrderedSet): - Join(AbelianGroup,IndexedDirectProductCategory(A,S)) with - construct: List Pair(A,S) -> % - ++ \spad{construct l} returns an object that is a linear - ++ combination with support in \spad{A} and coefficients - ++ in \spad{A}. +IndexedDirectProductAbelianGroup(A:AbelianGroup,S:OrderedType): + Join(AbelianGroup,IndexedDirectProductCategory(A,S)) == IndexedDirectProductAbelianMonoid(A,S) add --representations Term == Pair(S,A) diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 661fe5d0..2eff267f 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2293931 . 3486841615) +(2294147 . 3486848000) (-18 A S) ((|constructor| (NIL "One-dimensional-array aggregates serves as models for one-dimensional arrays. Categorically,{} these aggregates are finite linear aggregates with the \\spadatt{shallowlyMutable} property,{} that is,{} any component of the array may be changed without affecting the identity of the overall array. Array data structures are typically represented by a fixed area in storage and therefore cannot efficiently grow or shrink on demand as can list structures (see however \\spadtype{FlexibleArray} for a data structure which is a cross between a list and an array). Iteration over,{} and access to,{} elements of arrays is extremely fast (and often can be optimized to open-code). Insertion and deletion however is generally slow since an entirely new data structure must be created for the result."))) NIL @@ -56,7 +56,7 @@ NIL ((|constructor| (NIL "This domain represents the syntax for an add-expression.")) (|body| (((|SpadAst|) $) "base(\\spad{d}) returns the actual body of the add-domain expression \\spad{`d'}.")) (|base| (((|SpadAst|) $) "\\spad{base(d)} returns the base domain(\\spad{s}) of the add-domain expression."))) NIL NIL -(-32 R -1963) +(-32 R -2119) ((|constructor| (NIL "This package provides algebraic functions over an integral domain.")) (|iroot| ((|#2| |#1| (|Integer|)) "\\spad{iroot(p, n)} should be a non-exported function.")) (|definingPolynomial| ((|#2| |#2|) "\\spad{definingPolynomial(f)} returns the defining polynomial of \\spad{f} as an element of \\spad{F}. Error: if \\spad{f} is not a kernel.")) (|minPoly| (((|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{minPoly(k)} returns the defining polynomial of \\spad{k}.")) (** ((|#2| |#2| (|Fraction| (|Integer|))) "\\spad{x ** q} is \\spad{x} raised to the rational power \\spad{q}.")) (|droot| (((|OutputForm|) (|List| |#2|)) "\\spad{droot(l)} should be a non-exported function.")) (|inrootof| ((|#2| (|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{inrootof(p, x)} should be a non-exported function.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}. Error: if \\spad{op} is not an algebraic operator,{} that is,{} an \\spad{n}th root or implicit algebraic operator.")) (|rootOf| ((|#2| (|SparseUnivariatePolynomial| |#2|) (|Symbol|)) "\\spad{rootOf(p, y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}."))) NIL ((|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) @@ -88,11 +88,11 @@ NIL ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p, [a1,...,an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) NIL NIL -(-40 -1963 UP UPUP -3125) +(-40 -2119 UP UPUP -2094) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4457 |has| (-419 |#2|) (-374)) (-4462 |has| (-419 |#2|) (-374)) (-4456 |has| (-419 |#2|) (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2759 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2759 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2759 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2759 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2759 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2759 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) -(-41 R -1963) +((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-3795 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-3795 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3795 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3795 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-3795 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-3795 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) +(-41 R -2119) ((|constructor| (NIL "AlgebraicManipulations provides functions to simplify and expand expressions involving algebraic operators.")) (|rootKerSimp| ((|#2| (|BasicOperator|) |#2| (|NonNegativeInteger|)) "\\spad{rootKerSimp(op,f,n)} should be local but conditional.")) (|rootSimp| ((|#2| |#2|) "\\spad{rootSimp(f)} transforms every radical of the form \\spad{(a * b**(q*n+r))**(1/n)} appearing in \\spad{f} into \\spad{b**q * (a * b**r)**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{b}.")) (|rootProduct| ((|#2| |#2|) "\\spad{rootProduct(f)} combines every product of the form \\spad{(a**(1/n))**m * (a**(1/s))**t} into a single power of a root of \\spad{a},{} and transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form.")) (|rootPower| ((|#2| |#2|) "\\spad{rootPower(f)} transforms every radical power of the form \\spad{(a**(1/n))**m} into a simpler form if \\spad{m} and \\spad{n} have a common factor.")) (|ratPoly| (((|SparseUnivariatePolynomial| |#2|) |#2|) "\\spad{ratPoly(f)} returns a polynomial \\spad{p} such that \\spad{p} has no algebraic coefficients,{} and \\spad{p(f) = 0}.")) (|ratDenom| ((|#2| |#2| (|List| (|Kernel| |#2|))) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}\\spad{'s} which are algebraic kernels from the denominators in \\spad{f}.") ((|#2| |#2| |#2|) "\\spad{ratDenom(f, a)} removes \\spad{a} from the denominators in \\spad{f} if \\spad{a} is an algebraic kernel.") ((|#2| |#2|) "\\spad{ratDenom(f)} rationalizes the denominators appearing in \\spad{f} by moving all the algebraic quantities into the numerators.")) (|rootSplit| ((|#2| |#2|) "\\spad{rootSplit(f)} transforms every radical of the form \\spad{(a/b)**(1/n)} appearing in \\spad{f} into \\spad{a**(1/n) / b**(1/n)}. This transformation is not in general valid for all complex numbers \\spad{a} and \\spad{b}.")) (|coerce| (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(x)} \\undocumented")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(x)} \\undocumented")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(x)} \\undocumented"))) NIL ((-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -442) (|devaluate| |#1|))))) @@ -111,7 +111,7 @@ NIL (-45 |Key| |Entry|) ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) ((-4464 . T) (-4465 . 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(|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2905) (|devaluate| |#2|))))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-861))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-861))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2905) (|devaluate| |#2|))))))) (-46 S R E) ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -1963) +(-54 |Base| R -2119) ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) NIL NIL @@ -167,64 +167,64 @@ NIL (-59 S) ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|NonNegativeInteger|) |#1|) "\\spad{oneDimensionalArray(n,s)} creates an array from \\spad{n} copies of element \\spad{s}") (($ (|List| |#1|)) "\\spad{oneDimensionalArray(l)} creates an array from a list of elements \\spad{l}"))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-60 R) ((|constructor| (NIL "\\indented{1}{A TwoDimensionalArray is a two dimensional array with} 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray\\spad{'s}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-61 -2628) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +(-61 -4149) ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim} SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT) DOUBLE PRECISION ELAM,P,Q,X,DQDL INTEGER JINT P=1.0D0 Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X) DQDL=1.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-62 -2628) +(-62 -4149) ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim} SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO) DOUBLE PRECISION ELAM,FINFO(15) INTEGER MAXIT,IFLAG IF(MAXIT.EQ.-1)THEN PRINT*,\"Output from Monit\" ENDIF PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) NIL NIL -(-63 -2628) +(-63 -4149) ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim} SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC) DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N) INTEGER M,N,LJC INTEGER I,J DO 25003 I=1,LJC DO 25004 J=1,N FJACC(I,J)=0.0D025004 CONTINUE25003 CONTINUE FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/( &XC(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/( &XC(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)* &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)* &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+ &XC(2)) FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714 &286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666 &6667D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3) &+XC(2)) FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) FJACC(1,1)=1.0D0 FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(2,1)=1.0D0 FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(3,1)=1.0D0 FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/( &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2) &**2) FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666 &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2) FJACC(4,1)=1.0D0 FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(5,1)=1.0D0 FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399 &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999 &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(6,1)=1.0D0 FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/( &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2) &**2) FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333 &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2) FJACC(7,1)=1.0D0 FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/( &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2) &**2) FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428 &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2) FJACC(8,1)=1.0D0 FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(9,1)=1.0D0 FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(10,1)=1.0D0 FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(11,1)=1.0D0 FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,1)=1.0D0 FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(13,1)=1.0D0 FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(14,1)=1.0D0 FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,1)=1.0D0 FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-64 -2628) +(-64 -4149) ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{X}) and turn it into a Fortran Function like the following:\\begin{verbatim} DOUBLE PRECISION FUNCTION F(X) DOUBLE PRECISION X F=DSIN(X) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-65 -2628) +(-65 -4149) ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim} SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX) DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH) INTEGER JTHCOL,N,NROWH,NCOLH HX(1)=2.0D0*X(1) HX(2)=2.0D0*X(2) HX(3)=2.0D0*X(4)+2.0D0*X(3) HX(4)=2.0D0*X(4)+2.0D0*X(3) HX(5)=2.0D0*X(5) HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6)) HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6)) RETURN END\\end{verbatim}"))) NIL NIL -(-66 -2628) +(-66 -4149) ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim} SUBROUTINE FUNCT1(N,XC,FC) DOUBLE PRECISION FC,XC(N) INTEGER N FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5 &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+ &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC( &2)+10.0D0*XC(1)**4+XC(1)**2 RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-67 -2628) +(-67 -4149) ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim} FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1 &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W( &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1 &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W( &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8)) &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7) &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0. &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3 &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W( &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-68 -2628) +(-68 -4149) ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00 &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554 &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365 &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z( &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0. &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050 &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z &(1) W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010 &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136 &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8) &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532 &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056 &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1 &)) W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0 &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033 &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502 &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(- &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961 &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917 &D0*Z(1)) W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0. &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688 &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315 &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0 &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802 &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0* &Z(1) W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+( &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014 &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966 &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352 &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6)) &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718 &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851 &6D0*Z(1) W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048 &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323 &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730 &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z( &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583 &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700 &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1) W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0 &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843 &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017 &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z( &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136 &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015 &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1 &) W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05 &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338 &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869 &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8) &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056 &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544 &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z( &1) W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(- &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173 &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441 &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8 &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23 &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773 &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z( &1) W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0 &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246 &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609 &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8 &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032 &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688 &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z( &1) W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0 &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830 &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8) &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493 &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054 &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1) W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(- &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162 &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889 &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8 &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0. &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226 &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763 &75D0*Z(1) W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+( &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169 &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453 &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z( &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05 &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277 &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0 &*Z(1) W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15)) &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236 &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278 &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0 &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660 &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903 &02D0*Z(1) W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0 &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325 &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556 &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0. &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122 &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z &(1) W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0. &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669 &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114 &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0 &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739 &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0* &Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-69 -2628) +(-69 -4149) ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) DOUBLE PRECISION D(K),F(K) INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) NIL NIL -(-70 -2628) +(-70 -4149) ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK) INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE DOUBLE PRECISION A(5,5) EXTERNAL F06PAF A(1,1)=1.0D0 A(1,2)=0.0D0 A(1,3)=0.0D0 A(1,4)=-1.0D0 A(1,5)=0.0D0 A(2,1)=0.0D0 A(2,2)=1.0D0 A(2,3)=0.0D0 A(2,4)=0.0D0 A(2,5)=-1.0D0 A(3,1)=0.0D0 A(3,2)=0.0D0 A(3,3)=1.0D0 A(3,4)=-1.0D0 A(3,5)=0.0D0 A(4,1)=-1.0D0 A(4,2)=0.0D0 A(4,3)=-1.0D0 A(4,4)=4.0D0 A(4,5)=-1.0D0 A(5,1)=0.0D0 A(5,2)=-1.0D0 A(5,3)=0.0D0 A(5,4)=-1.0D0 A(5,5)=4.0D0 IF(MODE.EQ.1)THEN CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1) ELSEIF(MODE.EQ.2)THEN CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1) ENDIF RETURN END\\end{verbatim}"))) NIL NIL -(-71 -2628) +(-71 -4149) ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE PEDERV(X,Y,PW) DOUBLE PRECISION X,Y(*) DOUBLE PRECISION PW(3,3) PW(1,1)=-0.03999999999999999D0 PW(1,2)=10000.0D0*Y(3) PW(1,3)=10000.0D0*Y(2) PW(2,1)=0.03999999999999999D0 PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2)) PW(2,3)=-10000.0D0*Y(2) PW(3,1)=0.0D0 PW(3,2)=60000000.0D0*Y(2) PW(3,3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-72 -2628) +(-72 -4149) ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim} SUBROUTINE REPORT(X,V,JINT) DOUBLE PRECISION V(3),X INTEGER JINT RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) NIL NIL -(-73 -2628) +(-73 -4149) ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N) INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOUBLE PRECISION W1(3),W2(3),MS(3,3) IFLAG=-1 MS(1,1)=2.0D0 MS(1,2)=1.0D0 MS(1,3)=0.0D0 MS(2,1)=1.0D0 MS(2,2)=2.0D0 MS(2,3)=1.0D0 MS(3,1)=0.0D0 MS(3,2)=1.0D0 MS(3,3)=2.0D0 CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG) IFLAG=-IFLAG RETURN END\\end{verbatim}"))) NIL NIL -(-74 -2628) +(-74 -4149) ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG) DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N) INTEGER LDFJAC,N,IFLAG IF(IFLAG.EQ.1)THEN FVEC(1)=(-1.0D0*X(2))+X(1) FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2) FVEC(3)=3.0D0*X(3) ELSEIF(IFLAG.EQ.2)THEN FJAC(1,1)=1.0D0 FJAC(1,2)=-1.0D0 FJAC(1,3)=0.0D0 FJAC(2,1)=0.0D0 FJAC(2,2)=2.0D0 FJAC(2,3)=-1.0D0 FJAC(3,1)=0.0D0 FJAC(3,2)=0.0D0 FJAC(3,3)=3.0D0 ENDIF END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL @@ -236,55 +236,55 @@ NIL ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives \\spad{wrt} \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim} SUBROUTINE G(EPS,YA,YB,BC,N) DOUBLE PRECISION EPS,YA(N),YB(N),BC(N) INTEGER N BC(1)=YA(1) BC(2)=YA(2) BC(3)=YB(2)-1.0D0 RETURN END SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N) DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N) INTEGER N AJ(1,1)=1.0D0 AJ(1,2)=0.0D0 AJ(1,3)=0.0D0 AJ(2,1)=0.0D0 AJ(2,2)=1.0D0 AJ(2,3)=0.0D0 AJ(3,1)=0.0D0 AJ(3,2)=0.0D0 AJ(3,3)=0.0D0 BJ(1,1)=0.0D0 BJ(1,2)=0.0D0 BJ(1,3)=0.0D0 BJ(2,1)=0.0D0 BJ(2,2)=0.0D0 BJ(2,3)=0.0D0 BJ(3,1)=0.0D0 BJ(3,2)=1.0D0 BJ(3,3)=0.0D0 RETURN END SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N) DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N) INTEGER N BCEP(1)=0.0D0 BCEP(2)=0.0D0 BCEP(3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-77 -2628) +(-77 -4149) ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER) DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*) INTEGER N,IUSER(*),MODE,NSTATE OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7) &+(-1.0D0*X(2)*X(6)) OBJGRD(1)=X(7) OBJGRD(2)=-1.0D0*X(6) OBJGRD(3)=X(8)+(-1.0D0*X(7)) OBJGRD(4)=X(9) OBJGRD(5)=-1.0D0*X(8) OBJGRD(6)=-1.0D0*X(2) OBJGRD(7)=(-1.0D0*X(3))+X(1) OBJGRD(8)=(-1.0D0*X(5))+X(3) OBJGRD(9)=X(4) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-78 -2628) +(-78 -4149) ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim} DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X) DOUBLE PRECISION X(NDIM) INTEGER NDIM FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0* &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-79 -2628) +(-79 -4149) ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE LSFUN1(M,N,XC,FVECC) DOUBLE PRECISION FVECC(M),XC(N) INTEGER I,M,N FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X &C(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666 &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X &C(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC &(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142 &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999 &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2)) FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999 &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666 &67D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999 &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2)) FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-80 -2628) +(-80 -4149) ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER &,USER) DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*) INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE IF(NEEDC(1).GT.0)THEN C(1)=X(6)**2+X(1)**2 CJAC(1,1)=2.0D0*X(1) CJAC(1,2)=0.0D0 CJAC(1,3)=0.0D0 CJAC(1,4)=0.0D0 CJAC(1,5)=0.0D0 CJAC(1,6)=2.0D0*X(6) ENDIF IF(NEEDC(2).GT.0)THEN C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2 CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1) CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1)) CJAC(2,3)=0.0D0 CJAC(2,4)=0.0D0 CJAC(2,5)=0.0D0 CJAC(2,6)=0.0D0 ENDIF IF(NEEDC(3).GT.0)THEN C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2 CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1) CJAC(3,2)=2.0D0*X(2) CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1)) CJAC(3,4)=0.0D0 CJAC(3,5)=0.0D0 CJAC(3,6)=0.0D0 ENDIF RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-81 -2628) +(-81 -4149) ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,IFLAG) DOUBLE PRECISION X(N),FVEC(N) INTEGER N,IFLAG FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0 FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1. &0D0 FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1. &0D0 FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1. &0D0 FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1. &0D0 FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1. &0D0 FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1. &0D0 FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1. &0D0 FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0 RETURN END\\end{verbatim}"))) NIL NIL -(-82 -2628) +(-82 -4149) ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI) DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI ALPHA=DSIN(X) BETA=Y GAMMA=X*Y DELTA=DCOS(X)*DSIN(Y) EPSOLN=Y+X PHI=X PSI=Y RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-83 -2628) +(-83 -4149) ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE BNDY(X,Y,A,B,C,IBND) DOUBLE PRECISION A,B,C,X,Y INTEGER IBND IF(IBND.EQ.0)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(X) ELSEIF(IBND.EQ.1)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.2)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.3)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(Y) ENDIF END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-84 -2628) +(-84 -4149) ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNF(X,F) DOUBLE PRECISION X DOUBLE PRECISION F(2,2) F(1,1)=0.0D0 F(1,2)=1.0D0 F(2,1)=0.0D0 F(2,2)=-10.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-85 -2628) +(-85 -4149) ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNG(X,G) DOUBLE PRECISION G(*),X G(1)=0.0D0 G(2)=0.0D0 END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-86 -2628) +(-86 -4149) ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim} SUBROUTINE FCN(X,Z,F) DOUBLE PRECISION F(*),X,Z(*) F(1)=DTAN(Z(3)) F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2) &**2))/(Z(2)*DCOS(Z(3))) F(3)=-0.03199999999999999D0/(X*Z(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-87 -2628) +(-87 -4149) ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR) DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3) YL(1)=XL YL(2)=2.0D0 YR(1)=1.0D0 YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM)) RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-88 -2628) +(-88 -4149) ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim} SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD) DOUBLE PRECISION Y(N),RESULT(M,N),XSOL INTEGER M,N,COUNT LOGICAL FORWRD DOUBLE PRECISION X02ALF,POINTS(8) EXTERNAL X02ALF INTEGER I POINTS(1)=1.0D0 POINTS(2)=2.0D0 POINTS(3)=3.0D0 POINTS(4)=4.0D0 POINTS(5)=5.0D0 POINTS(6)=6.0D0 POINTS(7)=7.0D0 POINTS(8)=8.0D0 COUNT=COUNT+1 DO 25001 I=1,N RESULT(COUNT,I)=Y(I)25001 CONTINUE IF(COUNT.EQ.M)THEN IF(FORWRD)THEN XSOL=X02ALF() ELSE XSOL=-X02ALF() ENDIF ELSE XSOL=POINTS(COUNT) ENDIF END\\end{verbatim}"))) NIL NIL -(-89 -2628) +(-89 -4149) ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim} DOUBLE PRECISION FUNCTION G(X,Y) DOUBLE PRECISION X,Y(*) G=X+Y(1) RETURN END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL @@ -295,7 +295,7 @@ NIL (-91 S) ((|constructor| (NIL "A stack represented as a flexible array.")) (|arrayStack| (($ (|List| |#1|)) "\\spad{arrayStack([x,y,...,z])} creates an array stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-92 S) ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) NIL @@ -343,7 +343,7 @@ NIL (-103 S) ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}. Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t},{} is evaluated producing two values \\spad{pl} and \\spad{pr}. Then \\spad{mapDown!(l,pl,f)} and \\spad{mapDown!(l,pr,f)} are evaluated.") (($ $ |#1| (|Mapping| |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. The root value \\spad{x} is replaced by \\spad{q} \\spad{:=} \\spad{f}(\\spad{p},{}\\spad{x}). The mapDown!(\\spad{l},{}\\spad{q},{}\\spad{f}) and mapDown!(\\spad{r},{}\\spad{q},{}\\spad{f}) are evaluated for the left and right subtrees \\spad{l} and \\spad{r} of \\spad{t}.")) (|mapUp!| (($ $ $ (|Mapping| |#1| |#1| |#1| |#1| |#1|)) "\\spad{mapUp!(t,t1,f)} traverses \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r},{}\\spad{l1},{}\\spad{r1}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes. Values \\spad{l1} and \\spad{r1} are values at the corresponding nodes of a balanced binary tree \\spad{t1},{} of identical shape at \\spad{t}.") ((|#1| $ (|Mapping| |#1| |#1| |#1|)) "\\spad{mapUp!(t,f)} traverses balanced binary tree \\spad{t} in an \"endorder\" (left then right then node) fashion returning \\spad{t} with the value at each successive interior node of \\spad{t} replaced by \\spad{f}(\\spad{l},{}\\spad{r}) where \\spad{l} and \\spad{r} are the values at the immediate left and right nodes.")) (|setleaves!| (($ $ (|List| |#1|)) "\\spad{setleaves!(t, ls)} sets the leaves of \\spad{t} in left-to-right order to the elements of \\spad{ls}.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n, s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-104 R UP M |Row| |Col|) ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) NIL @@ -363,7 +363,7 @@ NIL (-108) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\spad{binary(r)} converts a rational number to a binary expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2759 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-3795 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) (-109) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. A `Binding' is a name asosciated with a collection of properties.")) (|binding| (($ (|Identifier|) (|List| (|Property|))) "\\spad{binding(n,props)} constructs a binding with name \\spad{`n'} and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) NIL @@ -392,7 +392,7 @@ NIL ((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|AssociationList| (|String|) (|None|))) "\\spad{setProperties(op, l)} sets the property list of \\spad{op} to \\spad{l}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|setProperty| (($ $ (|Identifier|) (|None|)) "\\spad{setProperty(op, p, v)} attaches property \\spad{p} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|) (|None|)) "\\spad{setProperty(op, s, v)} attaches property \\spad{s} to \\spad{op},{} and sets its value to \\spad{v}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|property| (((|Maybe| (|None|)) $ (|Identifier|)) "\\spad{property(op, p)} returns the value of property \\spad{p} if it is attached to \\spad{op},{} otherwise \\spad{nothing}.") (((|Union| (|None|) "failed") $ (|String|)) "\\spad{property(op, s)} returns the value of property \\spad{s} if it is attached to \\spad{op},{} and \"failed\" otherwise.")) (|deleteProperty!| (($ $ (|Identifier|)) "\\spad{deleteProperty!(op, p)} unattaches property \\spad{p} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.") (($ $ (|String|)) "\\spad{deleteProperty!(op, s)} unattaches property \\spad{s} from \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|assert| (($ $ (|Identifier|)) "\\spad{assert(op, p)} attaches property \\spad{p} to \\spad{op}. Argument \\spad{op} is modified \"in place\",{} \\spadignore{i.e.} no copy is made.")) (|has?| (((|Boolean|) $ (|Identifier|)) "\\spad{has?(op,p)} tests if property \\spad{s} is attached to \\spad{op}.")) (|input| (((|Union| (|Mapping| (|InputForm|) (|List| (|InputForm|))) "failed") $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \"failed\" otherwise.") (($ $ (|Mapping| (|InputForm|) (|List| (|InputForm|)))) "\\spad{input(op, foo)} attaches foo as the \"\\%input\" property of \\spad{op}. If \\spad{op} has a \"\\%input\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to InputForm as \\spad{f(a1,...,an)}.")) (|display| (($ $ (|Mapping| (|OutputForm|) (|OutputForm|))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a)} gets converted to OutputForm as \\spad{f(a)}. Argument \\spad{op} must be unary.") (($ $ (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) "\\spad{display(op, foo)} attaches foo as the \"\\%display\" property of \\spad{op}. If \\spad{op} has a \"\\%display\" property \\spad{f},{} then \\spad{op(a1,...,an)} gets converted to OutputForm as \\spad{f(a1,...,an)}.") (((|Union| (|Mapping| (|OutputForm|) (|List| (|OutputForm|))) "failed") $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \"failed\" otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If op1 and op2 have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether op1 and op2 should be considered equal.")) (|weight| (($ $ (|NonNegativeInteger|)) "\\spad{weight(op, n)} attaches the weight \\spad{n} to \\spad{op}.") (((|NonNegativeInteger|) $) "\\spad{weight(op)} returns the weight attached to \\spad{op}.")) (|nary?| (((|Boolean|) $) "\\spad{nary?(op)} tests if \\spad{op} has arbitrary arity.")) (|unary?| (((|Boolean|) $) "\\spad{unary?(op)} tests if \\spad{op} is unary.")) (|nullary?| (((|Boolean|) $) "\\spad{nullary?(op)} tests if \\spad{op} is nullary.")) (|operator| (($ (|Symbol|) (|Arity|)) "\\spad{operator(f, a)} makes \\spad{f} into an operator of arity \\spad{a}.") (($ (|Symbol|) (|NonNegativeInteger|)) "\\spad{operator(f, n)} makes \\spad{f} into an \\spad{n}-ary operator.") (($ (|Symbol|)) "\\spad{operator(f)} makes \\spad{f} into an operator with arbitrary arity.")) (|copy| (($ $) "\\spad{copy(op)} returns a copy of \\spad{op}.")) (|properties| (((|AssociationList| (|String|) (|None|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) NIL NIL -(-116 -1963 UP) +(-116 -2119 UP) ((|constructor| (NIL "\\spadtype{BoundIntegerRoots} provides functions to find lower bounds on the integer roots of a polynomial.")) (|integerBound| (((|Integer|) |#2|) "\\spad{integerBound(p)} returns a lower bound on the negative integer roots of \\spad{p},{} and 0 if \\spad{p} has no negative integer roots."))) NIL NIL @@ -403,7 +403,7 @@ NIL (-118 |p|) ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i),{} where the a[\\spad{i}] lie in -(\\spad{p} - 1)\\spad{/2},{}...,{}(\\spad{p} - 1)\\spad{/2}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-117 |#1|) (QUOTE (-928))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1043))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861))) (-2759 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1173))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-237))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-317))) (|HasCategory| (-117 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) +((|HasCategory| (-117 |#1|) (QUOTE (-928))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1043))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861))) (-3795 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-861)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1173))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-237))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -117) (|devaluate| |#1|)) (LIST (QUOTE -117) (|devaluate| |#1|)))) (|HasCategory| (-117 |#1|) (QUOTE (-317))) (|HasCategory| (-117 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-928)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) (-119 A S) ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) NIL @@ -419,7 +419,7 @@ NIL (-122 S) ((|constructor| (NIL "BinarySearchTree(\\spad{S}) is the domain of a binary trees where elements are ordered across the tree. A binary search tree is either empty or has a value which is an \\spad{S},{} and a right and left which are both BinaryTree(\\spad{S}) Elements are ordered across the tree.")) (|split| (((|Record| (|:| |less| $) (|:| |greater| $)) |#1| $) "\\spad{split(x,b)} splits binary tree \\spad{b} into two trees,{} one with elements greater than \\spad{x},{} the other with elements less than \\spad{x}.")) (|insertRoot!| (($ |#1| $) "\\spad{insertRoot!(x,b)} inserts element \\spad{x} as a root of binary search tree \\spad{b}.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary search tree \\spad{b}.")) (|binarySearchTree| (($ (|List| |#1|)) "\\spad{binarySearchTree(l)} \\undocumented"))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-123 S) ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) NIL @@ -439,15 +439,15 @@ NIL (-127 S) ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#1| $) "\\spad{insert!(x,b)} inserts element \\spad{x} as leaves into binary tournament \\spad{b}.")) (|binaryTournament| (($ (|List| |#1|)) "\\spad{binaryTournament(ls)} creates a binary tournament with the elements of \\spad{ls} as values at the nodes."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-128 S) ((|constructor| (NIL "\\spadtype{BinaryTree(S)} is the domain of all binary trees. A binary tree over \\spad{S} is either empty or has a \\spadfun{value} which is an \\spad{S} and a \\spadfun{right} and \\spadfun{left} which are both binary trees.")) (|binaryTree| (($ $ |#1| $) "\\spad{binaryTree(l,v,r)} creates a binary tree with value \\spad{v} with left subtree \\spad{l} and right subtree \\spad{r}.") (($ |#1|) "\\spad{binaryTree(v)} is an non-empty binary tree with value \\spad{v},{} and left and right empty."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-129) ((|constructor| (NIL "ByteBuffer provides datatype for buffers of bytes. This domain differs from PrimitiveArray Byte in that it is not as rigid as PrimitiveArray Byte. That is,{} the typical use of ByteBuffer is to pre-allocate a vector of Byte of some capacity \\spad{`n'}. The array can then store up to \\spad{`n'} bytes. The actual interesting bytes count (the length of the buffer) is therefore different from the capacity. The length is no more than the capacity,{} but it can be set dynamically as needed. This functionality is used for example when reading bytes from input/output devices where we use buffers to transfer data in and out of the system. Note: a value of type ByteBuffer is 0-based indexed,{} as opposed \\indented{6}{Vector,{} but not unlike PrimitiveArray Byte.}")) (|finiteAggregate| ((|attribute|) "A ByteBuffer object is a finite aggregate")) (|setLength!| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{setLength!(buf,n)} sets the number of active bytes in the `buf'. Error if \\spad{`n'} is more than the capacity.")) (|capacity| (((|NonNegativeInteger|) $) "\\spad{capacity(buf)} returns the pre-allocated maximum size of `buf'.")) (|byteBuffer| (($ (|NonNegativeInteger|)) "\\spad{byteBuffer(n)} creates a buffer of capacity \\spad{n},{} and length 0."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-2759 (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-130) (QUOTE (-861))) (-2759 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) +((-3795 (-12 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-3795 (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-130) (QUOTE (-861))) (-3795 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1121))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-130) ((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of \\spad{`x'} and \\spad{`y'}.")) (|bitand| (($ $ $) "\\spad{bitand(x,y)} returns the bitwise `and' of \\spad{`x'} and \\spad{`y'}.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value \\spad{`v'} into the Byte algebra. \\spad{`v'} must be non-negative and less than 256."))) NIL @@ -472,11 +472,11 @@ NIL ((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then \\indented{2}{\\spad{x+y\\space{2}= \\#(X+Y)}\\space{3}\\tab{30}disjoint union} \\indented{2}{\\spad{x-y\\space{2}= \\#(X-Y)}\\space{3}\\tab{30}relative complement} \\indented{2}{\\spad{x*y\\space{2}= \\#(X*Y)}\\space{3}\\tab{30}cartesian product} \\indented{2}{\\spad{x**y = \\#(X**Y)}\\space{2}\\tab{30}\\spad{X**Y = \\{g| g:Y->X\\}}} \\blankline The non-negative integers have a natural construction as cardinals \\indented{2}{\\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0, 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}.} \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\center{\\spad{2**Aleph i = Aleph(i+1)}} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are \\indented{3}{\\spad{a = \\#Z}\\space{7}\\tab{30}countable infinity} \\indented{3}{\\spad{c = \\#R}\\space{7}\\tab{30}the continuum} \\indented{3}{\\spad{f = \\#\\{g| g:[0,1]->R\\}}} \\blankline In this domain,{} these values are obtained using \\indented{3}{\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.} \\blankline")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed(bool)} is used to dictate whether the hypothesis is to be assumed.")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed?()} tests if the hypothesis is currently assumed.")) (|countable?| (((|Boolean|) $) "\\spad{countable?(\\spad{a})} determines whether \\spad{a} is a countable cardinal,{} \\spadignore{i.e.} an integer or \\spad{Aleph 0}.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(\\spad{a})} determines whether \\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.")) (|Aleph| (($ (|NonNegativeInteger|)) "\\spad{Aleph(n)} provides the named (infinite) cardinal number.")) (** (($ $ $) "\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined \\indented{1}{as \\spad{\\{g| g:Y->X\\}}.}")) (- (((|Union| $ "failed") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) (((-4466 "*") . T)) NIL -(-136 |minix| -2705 S T$) +(-136 |minix| -1914 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL -(-137 |minix| -2705 R) +(-137 |minix| -1914 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,...idim) = +1/0/-1} if \\spad{i1,...,idim} is an even/is nota /is an odd permutation of \\spad{minix,...,minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,[i1,...,idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t, [4,1,2,3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,i,j,k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,i,j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,2,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(i,k,j,l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,j,k,i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,i,j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,1,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,j) = sum(h=1..dim,t(h,i,h,j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,i,s,j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,2,t,1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,j,k,l) = sum(h=1..dim,s(i,h,j)*t(h,k,l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,rank t, s, 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N, t[i1,..,iN,k]*s[k,j1,..,jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = s(i,j)*t(k,l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,[i1,...,iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k,l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,i,j)} gives a component of a rank 2 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,...,t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,...,r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor."))) NIL NIL @@ -499,7 +499,7 @@ NIL (-142) ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\spad{alphanumeric()} returns the class of all characters for which \\spadfunFrom{alphanumeric?}{Character} is \\spad{true}.")) (|alphabetic| (($) "\\spad{alphabetic()} returns the class of all characters for which \\spadfunFrom{alphabetic?}{Character} is \\spad{true}.")) (|lowerCase| (($) "\\spad{lowerCase()} returns the class of all characters for which \\spadfunFrom{lowerCase?}{Character} is \\spad{true}.")) (|upperCase| (($) "\\spad{upperCase()} returns the class of all characters for which \\spadfunFrom{upperCase?}{Character} is \\spad{true}.")) (|hexDigit| (($) "\\spad{hexDigit()} returns the class of all characters for which \\spadfunFrom{hexDigit?}{Character} is \\spad{true}.")) (|digit| (($) "\\spad{digit()} returns the class of all characters for which \\spadfunFrom{digit?}{Character} is \\spad{true}.")) (|charClass| (($ (|List| (|Character|))) "\\spad{charClass(l)} creates a character class which contains exactly the characters given in the list \\spad{l}.") (($ (|String|)) "\\spad{charClass(s)} creates a character class which contains exactly the characters given in the string \\spad{s}."))) ((-4464 . T) (-4454 . T) (-4465 . T)) -((-2759 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) +((-3795 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-143 R Q A) ((|constructor| (NIL "CommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#3|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#3|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL @@ -524,7 +524,7 @@ NIL ((|constructor| (NIL "Rings of Characteristic Zero."))) ((-4461 . T)) NIL -(-149 -1963 UP UPUP) +(-149 -2119 UP UPUP) ((|constructor| (NIL "Tools to send a point to infinity on an algebraic curve.")) (|chvar| (((|Record| (|:| |func| |#3|) (|:| |poly| |#3|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) |#3| |#3|) "\\spad{chvar(f(x,y), p(x,y))} returns \\spad{[g(z,t), q(z,t), c1(z), c2(z), n]} such that under the change of variable \\spad{x = c1(z)},{} \\spad{y = t * c2(z)},{} one gets \\spad{f(x,y) = g(z,t)}. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{z} and \\spad{t} is \\spad{q(z, t) = 0}.")) (|eval| ((|#3| |#3| (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{eval(p(x,y), f(x), g(x))} returns \\spad{p(f(x), y * g(x))}.")) (|goodPoint| ((|#1| |#3| |#3|) "\\spad{goodPoint(p, q)} returns an integer a such that a is neither a pole of \\spad{p(x,y)} nor a branch point of \\spad{q(x,y) = 0}.")) (|rootPoly| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| (|Fraction| |#2|)) (|:| |radicand| |#2|)) (|Fraction| |#2|) (|NonNegativeInteger|)) "\\spad{rootPoly(g, n)} returns \\spad{[m, c, P]} such that \\spad{c * g ** (1/n) = P ** (1/m)} thus if \\spad{y**n = g},{} then \\spad{z**m = P} where \\spad{z = c * y}.")) (|radPoly| (((|Union| (|Record| (|:| |radicand| (|Fraction| |#2|)) (|:| |deg| (|NonNegativeInteger|))) "failed") |#3|) "\\spad{radPoly(p(x, y))} returns \\spad{[c(x), n]} if \\spad{p} is of the form \\spad{y**n - c(x)},{} \"failed\" otherwise.")) (|mkIntegral| (((|Record| (|:| |coef| (|Fraction| |#2|)) (|:| |poly| |#3|)) |#3|) "\\spad{mkIntegral(p(x,y))} returns \\spad{[c(x), q(x,z)]} such that \\spad{z = c * y} is integral. The algebraic relation between \\spad{x} and \\spad{y} is \\spad{p(x, y) = 0}. The algebraic relation between \\spad{x} and \\spad{z} is \\spad{q(x, z) = 0}."))) NIL NIL @@ -564,7 +564,7 @@ NIL ((|constructor| (NIL "Color() specifies a domain of 27 colors provided in the \\Language{} system (the colors mix additively).")) (|color| (($ (|Integer|)) "\\spad{color(i)} returns a color of the indicated hue \\spad{i}.")) (|numberOfHues| (((|PositiveInteger|)) "\\spad{numberOfHues()} returns the number of total hues,{} set in totalHues.")) (|hue| (((|Integer|) $) "\\spad{hue(c)} returns the hue index of the indicated color \\spad{c}.")) (|blue| (($) "\\spad{blue()} returns the position of the blue hue from total hues.")) (|green| (($) "\\spad{green()} returns the position of the green hue from total hues.")) (|yellow| (($) "\\spad{yellow()} returns the position of the yellow hue from total hues.")) (|red| (($) "\\spad{red()} returns the position of the red hue from total hues.")) (+ (($ $ $) "\\spad{c1 + c2} additively mixes the two colors \\spad{c1} and \\spad{c2}.")) (* (($ (|DoubleFloat|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}.") (($ (|PositiveInteger|) $) "\\spad{s * c},{} returns the color \\spad{c},{} whose weighted shade has been scaled by \\spad{s}."))) NIL NIL -(-159 R -1963) +(-159 R -2119) ((|constructor| (NIL "Provides combinatorial functions over an integral domain.")) (|ipow| ((|#2| (|List| |#2|)) "\\spad{ipow(l)} should be local but conditional.")) (|iidprod| ((|#2| (|List| |#2|)) "\\spad{iidprod(l)} should be local but conditional.")) (|iidsum| ((|#2| (|List| |#2|)) "\\spad{iidsum(l)} should be local but conditional.")) (|iipow| ((|#2| (|List| |#2|)) "\\spad{iipow(l)} should be local but conditional.")) (|iiperm| ((|#2| (|List| |#2|)) "\\spad{iiperm(l)} should be local but conditional.")) (|iibinom| ((|#2| (|List| |#2|)) "\\spad{iibinom(l)} should be local but conditional.")) (|iifact| ((|#2| |#2|) "\\spad{iifact(x)} should be local but conditional.")) (|product| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{product(f(n), n = a..b)} returns \\spad{f}(a) * ... * \\spad{f}(\\spad{b}) as a formal product.") ((|#2| |#2| (|Symbol|)) "\\spad{product(f(n), n)} returns the formal product \\spad{P}(\\spad{n}) which verifies \\spad{P}(\\spad{n+1})\\spad{/P}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|summation| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{summation(f(n), n = a..b)} returns \\spad{f}(a) + ... + \\spad{f}(\\spad{b}) as a formal sum.") ((|#2| |#2| (|Symbol|)) "\\spad{summation(f(n), n)} returns the formal sum \\spad{S}(\\spad{n}) which verifies \\spad{S}(\\spad{n+1}) - \\spad{S}(\\spad{n}) = \\spad{f}(\\spad{n}).")) (|factorials| ((|#2| |#2| (|Symbol|)) "\\spad{factorials(f, x)} rewrites the permutations and binomials in \\spad{f} involving \\spad{x} in terms of factorials.") ((|#2| |#2|) "\\spad{factorials(f)} rewrites the permutations and binomials in \\spad{f} in terms of factorials.")) (|factorial| ((|#2| |#2|) "\\spad{factorial(n)} returns the factorial of \\spad{n},{} \\spadignore{i.e.} \\spad{n!}.")) (|permutation| ((|#2| |#2| |#2|) "\\spad{permutation(n, r)} returns the number of permutations of \\spad{n} objects taken \\spad{r} at a time,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{n}-\\spad{r})!.")) (|binomial| ((|#2| |#2| |#2|) "\\spad{binomial(n, r)} returns the number of subsets of \\spad{r} objects taken among \\spad{n} objects,{} \\spadignore{i.e.} \\spad{n!/}(\\spad{r!} * (\\spad{n}-\\spad{r})!).")) (** ((|#2| |#2| |#2|) "\\spad{a ** b} is the formal exponential a**b.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a combinatorial operator.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a combinatorial operator."))) NIL NIL @@ -598,7 +598,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1023))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4460)) (|HasAttribute| |#2| (QUOTE -4463)) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568)))) (-167 R) ((|constructor| (NIL "This category represents the extension of a ring by a square root of \\spad{-1}.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a rational number,{} or \"failed\" if \\spad{x} is not a rational number.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a rational number.")) (|polarCoordinates| (((|Record| (|:| |r| |#1|) (|:| |phi| |#1|)) $) "\\spad{polarCoordinates(x)} returns (\\spad{r},{} phi) such that \\spad{x} = \\spad{r} * exp(\\%\\spad{i} * phi).")) (|argument| ((|#1| $) "\\spad{argument(x)} returns the angle made by (0,{}1) and (0,{}\\spad{x}).")) (|abs| (($ $) "\\spad{abs(x)} returns the absolute value of \\spad{x} = sqrt(norm(\\spad{x})).")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(x, r)} returns the exact quotient of \\spad{x} by \\spad{r},{} or \"failed\" if \\spad{r} does not divide \\spad{x} exactly.")) (|norm| ((|#1| $) "\\spad{norm(x)} returns \\spad{x} * conjugate(\\spad{x})")) (|real| ((|#1| $) "\\spad{real(x)} returns real part of \\spad{x}.")) (|imag| ((|#1| $) "\\spad{imag(x)} returns imaginary part of \\spad{x}.")) (|conjugate| (($ $) "\\spad{conjugate(x + \\%i y)} returns \\spad{x} - \\%\\spad{i} \\spad{y}.")) (|imaginary| (($) "\\spad{imaginary()} = sqrt(\\spad{-1}) = \\%\\spad{i}.")) (|complex| (($ |#1| |#1|) "\\spad{complex(x,y)} constructs \\spad{x} + \\%i*y.") ((|attribute|) "indicates that \\% has sqrt(\\spad{-1})"))) -((-4457 -2759 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4463 |has| |#1| (-6 -4463)) (-4177 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-4457 -3795 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4463 |has| |#1| (-6 -4463)) (-2649 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-168 RR PR) ((|constructor| (NIL "\\indented{1}{Author:} Date Created: Date Last Updated: Basic Functions: Related Constructors: Complex,{} UnivariatePolynomial Also See: AMS Classifications: Keywords: complex,{} polynomial factorization,{} factor References:")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} factorizes the polynomial \\spad{p} with complex coefficients."))) @@ -614,8 +614,8 @@ NIL NIL (-171 R) ((|constructor| (NIL "\\spadtype {Complex(R)} creates the domain of elements of the form \\spad{a + b * i} where \\spad{a} and \\spad{b} come from the ring \\spad{R},{} and \\spad{i} is a new element such that \\spad{i**2 = -1}."))) -((-4457 -2759 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4463 |has| |#1| (-6 -4463)) (-4177 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2759 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-360)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-2759 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasAttribute| |#1| (QUOTE -4463)) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-360))))) +((-4457 -3795 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-928)))) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4463 |has| |#1| (-6 -4463)) (-2649 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-3795 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-360)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-928)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-928))))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-3795 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1223)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasAttribute| |#1| (QUOTE -4463)) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-360))))) (-172 R S CS) ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) NIL @@ -688,7 +688,7 @@ NIL ((|constructor| (NIL "This domain provides implementations for constructors.")) (|findConstructor| (((|Maybe| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) NIL NIL -(-190 R -1963) +(-190 R -2119) ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -796,23 +796,23 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\spad{db1+db2} returns the merge of databases \\spad{db1} and \\spad{db2}")) (|fullDisplay| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{fullDisplay(db,start,end )} prints full details of entries in the range \\axiom{\\spad{start}..end} in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(db)} prints full details of each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{fullDisplay(x)} displays \\spad{x} in detail")) (|display| (((|Void|) $) "\\spad{display(db)} prints a summary line for each entry in \\axiom{\\spad{db}}.") (((|Void|) $) "\\spad{display(x)} displays \\spad{x} in some form")) (|elt| (((|DataList| (|String|)) $ (|Symbol|)) "\\spad{elt(db,s)} returns the \\axiom{\\spad{s}} field of each element of \\axiom{\\spad{db}}.") (($ $ (|QueryEquation|)) "\\spad{elt(db,q)} returns all elements of \\axiom{\\spad{db}} which satisfy \\axiom{\\spad{q}}.") (((|String|) $ (|Symbol|)) "\\spad{elt(x,s)} returns an element of \\spad{x} indexed by \\spad{s}"))) NIL NIL -(-217 -1963 UP UPUP R) +(-217 -2119 UP UPUP R) ((|constructor| (NIL "This package provides functions for computing the residues of a function on an algebraic curve.")) (|doubleResultant| ((|#2| |#4| (|Mapping| |#2| |#2|)) "\\spad{doubleResultant(f, ')} returns \\spad{p}(\\spad{x}) whose roots are rational multiples of the residues of \\spad{f} at all its finite poles. Argument ' is the derivation to use."))) NIL NIL -(-218 -1963 FP) +(-218 -2119 FP) ((|constructor| (NIL "Package for the factorization of a univariate polynomial with coefficients in a finite field. The algorithm used is the \"distinct degree\" algorithm of Cantor-Zassenhaus,{} modified to use trace instead of the norm and a table for computing Frobenius as suggested by Naudin and Quitte .")) (|irreducible?| (((|Boolean|) |#2|) "\\spad{irreducible?(p)} tests whether the polynomial \\spad{p} is irreducible.")) (|tracePowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{tracePowMod(u,k,v)} produces the sum of \\spad{u**(q**i)} for \\spad{i} running and \\spad{q=} size \\spad{F}")) (|trace2PowMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{trace2PowMod(u,k,v)} produces the sum of \\spad{u**(2**i)} for \\spad{i} running from 1 to \\spad{k} all computed modulo the polynomial \\spad{v}.")) (|exptMod| ((|#2| |#2| (|NonNegativeInteger|) |#2|) "\\spad{exptMod(u,k,v)} raises the polynomial \\spad{u} to the \\spad{k}th power modulo the polynomial \\spad{v}.")) (|separateFactors| (((|List| |#2|) (|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|)))) "\\spad{separateFactors(lfact)} takes the list produced by \\spadfunFrom{separateDegrees}{DistinctDegreeFactorization} and produces the complete list of factors.")) (|separateDegrees| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |prod| |#2|))) |#2|) "\\spad{separateDegrees(p)} splits the square free polynomial \\spad{p} into factors each of which is a product of irreducibles of the same degree.")) (|distdfact| (((|Record| (|:| |cont| |#1|) (|:| |factors| (|List| (|Record| (|:| |irr| |#2|) (|:| |pow| (|Integer|)))))) |#2| (|Boolean|)) "\\spad{distdfact(p,sqfrflag)} produces the complete factorization of the polynomial \\spad{p} returning an internal data structure. If argument \\spad{sqfrflag} is \\spad{true},{} the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#2|) |#2|) "\\spad{factorSquareFree(p)} produces the complete factorization of the square free polynomial \\spad{p}.")) (|factor| (((|Factored| |#2|) |#2|) "\\spad{factor(p)} produces the complete factorization of the polynomial \\spad{p}."))) NIL NIL (-219) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions.")) (|decimal| (($ (|Fraction| (|Integer|))) "\\spad{decimal(r)} converts a rational number to a decimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(d)} returns the fractional part of a decimal expansion."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2759 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-3795 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) (-220) ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition \\spad{`d'}.")) (|signature| (((|Signature|) $) "\\spad{signature(d)} returns the signature of the operation being defined. Note that this list may be partial in that it contains only the types actually specified in the definition.")) (|head| (((|HeadAst|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) NIL NIL -(-221 R -1963) +(-221 R -2119) ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) NIL NIL @@ -827,18 +827,18 @@ NIL (-224 S) ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|List| |#1|)) "\\spad{dequeue([x,y,...,z])} creates a dequeue with first (top or front) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom or back) element \\spad{z}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-225 |CoefRing| |listIndVar|) ((|constructor| (NIL "The deRham complex of Euclidean space,{} that is,{} the class of differential forms of arbitary degree over a coefficient ring. See Flanders,{} Harley,{} Differential Forms,{} With Applications to the Physical Sciences,{} New York,{} Academic Press,{} 1963.")) (|exteriorDifferential| (($ $) "\\spad{exteriorDifferential(df)} returns the exterior derivative (gradient,{} curl,{} divergence,{} ...) of the differential form \\spad{df}.")) (|totalDifferential| (($ (|Expression| |#1|)) "\\spad{totalDifferential(x)} returns the total differential (gradient) form for element \\spad{x}.")) (|map| (($ (|Mapping| (|Expression| |#1|) (|Expression| |#1|)) $) "\\spad{map(f,df)} replaces each coefficient \\spad{x} of differential form \\spad{df} by \\spad{f(x)}.")) (|degree| (((|Integer|) $) "\\spad{degree(df)} returns the homogeneous degree of differential form \\spad{df}.")) (|retractable?| (((|Boolean|) $) "\\spad{retractable?(df)} tests if differential form \\spad{df} is a 0-form,{} \\spadignore{i.e.} if degree(\\spad{df}) = 0.")) (|homogeneous?| (((|Boolean|) $) "\\spad{homogeneous?(df)} tests if all of the terms of differential form \\spad{df} have the same degree.")) (|generator| (($ (|NonNegativeInteger|)) "\\spad{generator(n)} returns the \\spad{n}th basis term for a differential form.")) (|coefficient| (((|Expression| |#1|) $ $) "\\spad{coefficient(df,u)},{} where \\spad{df} is a differential form,{} returns the coefficient of \\spad{df} containing the basis term \\spad{u} if such a term exists,{} and 0 otherwise.")) (|reductum| (($ $) "\\spad{reductum(df)},{} where \\spad{df} is a differential form,{} returns \\spad{df} minus the leading term of \\spad{df} if \\spad{df} has two or more terms,{} and 0 otherwise.")) (|leadingBasisTerm| (($ $) "\\spad{leadingBasisTerm(df)} returns the leading basis term of differential form \\spad{df}.")) (|leadingCoefficient| (((|Expression| |#1|) $) "\\spad{leadingCoefficient(df)} returns the leading coefficient of differential form \\spad{df}."))) ((-4461 . T)) NIL -(-226 R -1963) +(-226 R -2119) ((|constructor| (NIL "\\spadtype{DefiniteIntegrationTools} provides common tools used by the definite integration of both rational and elementary functions.")) (|checkForZero| (((|Union| (|Boolean|) "failed") (|SparseUnivariatePolynomial| |#2|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.") (((|Union| (|Boolean|) "failed") (|Polynomial| |#1|) (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{checkForZero(p, x, a, b, incl?)} is \\spad{true} if \\spad{p} has a zero for \\spad{x} between a and \\spad{b},{} \\spad{false} otherwise,{} \"failed\" if this cannot be determined. Check for a and \\spad{b} inclusive if incl? is \\spad{true},{} exclusive otherwise.")) (|computeInt| (((|Union| (|OrderedCompletion| |#2|) "failed") (|Kernel| |#2|) |#2| (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{computeInt(x, g, a, b, eval?)} returns the integral of \\spad{f} for \\spad{x} between a and \\spad{b},{} assuming that \\spad{g} is an indefinite integral of \\spad{f} and \\spad{f} has no pole between a and \\spad{b}. If \\spad{eval?} is \\spad{true},{} then \\spad{g} can be evaluated safely at \\spad{a} and \\spad{b},{} provided that they are finite values. Otherwise,{} limits must be computed.")) (|ignore?| (((|Boolean|) (|String|)) "\\spad{ignore?(s)} is \\spad{true} if \\spad{s} is the string that tells the integrator to assume that the function has no pole in the integration interval."))) NIL NIL (-227) ((|constructor| (NIL "\\indented{1}{\\spadtype{DoubleFloat} is intended to make accessible} hardware floating point arithmetic in \\Language{},{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and possibly also the \\spadfunFrom{sqrt}{DoubleFloat} operation. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat},{} \\spadfunFrom{atan}{DoubleFloat} are normally coded in software based on minimax polynomial/rational approximations. Note that under Lisp/VM,{} \\spadfunFrom{atan}{DoubleFloat} is not available at this time. Some general comments about the accuracy of the operations: the operations \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and \\spadfunFrom{sqrt}{DoubleFloat} are expected to be fully accurate. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat} and \\spadfunFrom{atan}{DoubleFloat} are not expected to be fully accurate. In particular,{} \\spadfunFrom{sin}{DoubleFloat} and \\spadfunFrom{cos}{DoubleFloat} will lose all precision for large arguments. \\blankline The \\spadtype{Float} domain provides an alternative to the \\spad{DoubleFloat} domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as \\spadfunFrom{erf}{DoubleFloat},{} the error function in addition to the elementary functions. The disadvantage of \\spadtype{Float} is that it is much more expensive than small floats when the latter can be used.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|Beta| (($ $ $) "\\spad{Beta(x,y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) -((-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-2642 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-228) ((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}"))) @@ -847,7 +847,7 @@ NIL (-229 R) ((|constructor| (NIL "\\indented{1}{A Denavit-Hartenberg Matrix is a 4x4 Matrix of the form:} \\indented{1}{\\spad{nx ox ax px}} \\indented{1}{\\spad{ny oy ay py}} \\indented{1}{\\spad{nz oz az pz}} \\indented{2}{\\spad{0\\space{2}0\\space{2}0\\space{2}1}} (\\spad{n},{} \\spad{o},{} and a are the direction cosines)")) (|translate| (($ |#1| |#1| |#1|) "\\spad{translate(X,Y,Z)} returns a dhmatrix for translation by \\spad{X},{} \\spad{Y},{} and \\spad{Z}")) (|scale| (($ |#1| |#1| |#1|) "\\spad{scale(sx,sy,sz)} returns a dhmatrix for scaling in the \\spad{X},{} \\spad{Y} and \\spad{Z} directions")) (|rotatez| (($ |#1|) "\\spad{rotatez(r)} returns a dhmatrix for rotation about axis \\spad{Z} for \\spad{r} degrees")) (|rotatey| (($ |#1|) "\\spad{rotatey(r)} returns a dhmatrix for rotation about axis \\spad{Y} for \\spad{r} degrees")) (|rotatex| (($ |#1|) "\\spad{rotatex(r)} returns a dhmatrix for rotation about axis \\spad{X} for \\spad{r} degrees")) (|identity| (($) "\\spad{identity()} create the identity dhmatrix")) (* (((|Point| |#1|) $ (|Point| |#1|)) "\\spad{t*p} applies the dhmatrix \\spad{t} to point \\spad{p}"))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-230 A S) ((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones."))) NIL @@ -896,22 +896,22 @@ NIL ((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation"))) NIL NIL -(-242 S -2705 R) +(-242 S -1914 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) NIL ((|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (QUOTE (-861))) (|HasAttribute| |#3| (QUOTE -4461)) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (QUOTE (-1121)))) -(-243 -2705 R) +(-243 -1914 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size"))) ((-4458 |has| |#2| (-1070)) (-4459 |has| |#2| (-1070)) (-4461 |has| |#2| (-6 -4461)) (-4464 . T)) NIL -(-244 -2705 A B) +(-244 -1914 A B) ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}."))) NIL NIL -(-245 -2705 R) +(-245 -1914 R) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation."))) ((-4458 |has| |#2| (-1070)) (-4459 |has| |#2| (-1070)) (-4461 |has| |#2| (-6 -4461)) (-4464 . 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(|sayLength| (((|Integer|) (|List| (|String|))) "\\spad{sayLength(l)} returns the length of a list of strings \\spad{l} as an integer.") (((|Integer|) (|String|)) "\\spad{sayLength(s)} returns the length of a string \\spad{s} as an integer.")) (|say| (((|Void|) (|List| (|String|))) "\\spad{say(l)} sends a list of strings \\spad{l} to output.") (((|Void|) (|String|)) "\\spad{say(s)} sends a string \\spad{s} to output.")) (|center| (((|List| (|String|)) (|List| (|String|)) (|Integer|) (|String|)) "\\spad{center(l,i,s)} takes a list of strings \\spad{l},{} and centers them within a list of strings which is \\spad{i} characters long,{} in which the remaining spaces are filled with strings composed of as many repetitions as possible of the last string parameter \\spad{s}.") (((|String|) (|String|) (|Integer|) (|String|)) "\\spad{center(s,i,s)} takes the first string \\spad{s},{} and centers it within a string of length \\spad{i},{} in which the other elements of the string are composed of as many replications as possible of the second indicated string,{} \\spad{s} which must have a length greater than that of an empty string.")) (|copies| (((|String|) (|Integer|) (|String|)) "\\spad{copies(i,s)} will take a string \\spad{s} and create a new string composed of \\spad{i} copies of \\spad{s}.")) (|newLine| (((|String|)) "\\spad{newLine()} sends a new line command to output.")) (|bright| (((|List| (|String|)) (|List| (|String|))) "\\spad{bright(l)} sets the font property of a list of strings,{} \\spad{l},{} to bold-face type.") (((|List| (|String|)) (|String|)) "\\spad{bright(s)} sets the font property of the string \\spad{s} to bold-face type."))) NIL @@ -931,7 +931,7 @@ NIL (-250 S) ((|constructor| (NIL "This domain provides some nice functions on lists")) (|elt| (((|NonNegativeInteger|) $ "count") "\\axiom{\\spad{l}.\"count\"} returns the number of elements in \\axiom{\\spad{l}}.") (($ $ "sort") "\\axiom{\\spad{l}.sort} returns \\axiom{\\spad{l}} with elements sorted. Note: \\axiom{\\spad{l}.sort = sort(\\spad{l})}") (($ $ "unique") "\\axiom{\\spad{l}.unique} returns \\axiom{\\spad{l}} with duplicates removed. Note: \\axiom{\\spad{l}.unique = removeDuplicates(\\spad{l})}.")) (|datalist| (($ (|List| |#1|)) "\\spad{datalist(l)} creates a datalist from \\spad{l}"))) ((-4465 . T) (-4464 . 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(|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,a,p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank\\spad{'s} algorithm. Note: this is a subroutine of the function \\spadfun{discreteLog}.")) (** ((|#1| |#1| (|Integer|)) "\\spad{x ** n} returns \\spad{x} raised to the integer power \\spad{n}"))) NIL @@ -943,7 +943,7 @@ NIL (-253 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is lexicographic specified by the variable list parameter with the most significant variable first in the list.")) 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(QUOTE (-576)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1121)))) (-3795 (|HasAttribute| |#3| (QUOTE -4461)) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1070)))) (-12 (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-12 (|HasCategory| |#3| (QUOTE (-237))) (|HasCategory| |#3| (QUOTE (-1070)))) (-12 (|HasCategory| |#3| (QUOTE (-1070))) (|HasCategory| |#3| (LIST (QUOTE -919) (QUOTE (-1197))))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (-259 A R S V E) ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p, s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p, s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p, s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) NIL @@ -1023,7 +1023,7 @@ NIL (-273 R S V) ((|constructor| (NIL "\\spadtype{DifferentialSparseMultivariatePolynomial} implements an ordinary differential polynomial ring by combining a domain belonging to the category \\spadtype{DifferentialVariableCategory} with the domain \\spadtype{SparseMultivariatePolynomial}. \\blankline"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-928))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-928))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) (-274 A S) ((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s, n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate."))) NIL @@ -1068,11 +1068,11 @@ NIL ((|constructor| (NIL "A domain used in the construction of the exterior algebra on a set \\spad{X} over a ring \\spad{R}. This domain represents the set of all ordered subsets of the set \\spad{X},{} assumed to be in correspondance with {1,{}2,{}3,{} ...}. The ordered subsets are themselves ordered lexicographically and are in bijective correspondance with an ordered basis of the exterior algebra. In this domain we are dealing strictly with the exponents of basis elements which can only be 0 or 1. \\blankline The multiplicative identity element of the exterior algebra corresponds to the empty subset of \\spad{X}. A coerce from List Integer to an ordered basis element is provided to allow the convenient input of expressions. Another exported function forgets the ordered structure and simply returns the list corresponding to an ordered subset.")) (|Nul| (($ (|NonNegativeInteger|)) "\\spad{Nul()} gives the basis element 1 for the algebra generated by \\spad{n} generators.")) (|exponents| (((|List| (|Integer|)) $) "\\spad{exponents(x)} converts a domain element into a list of zeros and ones corresponding to the exponents in the basis element that \\spad{x} represents.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(x)} gives the numbers of 1\\spad{'s} in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0\\spad{'s} and 1\\spad{'s} into a basis element,{} where 1 (respectively 0) designates that the variable of the corresponding index of \\spad{l} is (respectively,{} is not) present. Error: if an element of \\spad{l} is not 0 or 1."))) NIL NIL -(-285 R -1963) +(-285 R -2119) ((|constructor| (NIL "Provides elementary functions over an integral domain.")) (|localReal?| (((|Boolean|) |#2|) "\\spad{localReal?(x)} should be local but conditional")) (|specialTrigs| (((|Union| |#2| "failed") |#2| (|List| (|Record| (|:| |func| |#2|) (|:| |pole| (|Boolean|))))) "\\spad{specialTrigs(x,l)} should be local but conditional")) (|iiacsch| ((|#2| |#2|) "\\spad{iiacsch(x)} should be local but conditional")) (|iiasech| ((|#2| |#2|) "\\spad{iiasech(x)} should be local but conditional")) (|iiacoth| ((|#2| |#2|) "\\spad{iiacoth(x)} should be local but conditional")) (|iiatanh| ((|#2| |#2|) "\\spad{iiatanh(x)} should be local but conditional")) (|iiacosh| ((|#2| |#2|) "\\spad{iiacosh(x)} should be local but conditional")) (|iiasinh| ((|#2| |#2|) "\\spad{iiasinh(x)} should be local but conditional")) (|iicsch| ((|#2| |#2|) "\\spad{iicsch(x)} should be local but conditional")) (|iisech| ((|#2| |#2|) "\\spad{iisech(x)} should be local but conditional")) (|iicoth| ((|#2| |#2|) "\\spad{iicoth(x)} should be local but conditional")) (|iitanh| ((|#2| |#2|) "\\spad{iitanh(x)} should be local but conditional")) (|iicosh| ((|#2| |#2|) "\\spad{iicosh(x)} should be local but conditional")) (|iisinh| ((|#2| |#2|) "\\spad{iisinh(x)} should be local but conditional")) (|iiacsc| ((|#2| |#2|) "\\spad{iiacsc(x)} should be local but conditional")) (|iiasec| ((|#2| |#2|) "\\spad{iiasec(x)} should be local but conditional")) (|iiacot| ((|#2| |#2|) "\\spad{iiacot(x)} should be local but conditional")) (|iiatan| ((|#2| |#2|) "\\spad{iiatan(x)} should be local but conditional")) (|iiacos| ((|#2| |#2|) "\\spad{iiacos(x)} should be local but conditional")) (|iiasin| ((|#2| |#2|) "\\spad{iiasin(x)} should be local but conditional")) (|iicsc| ((|#2| |#2|) "\\spad{iicsc(x)} should be local but conditional")) (|iisec| ((|#2| |#2|) "\\spad{iisec(x)} should be local but conditional")) (|iicot| ((|#2| |#2|) "\\spad{iicot(x)} should be local but conditional")) (|iitan| ((|#2| |#2|) "\\spad{iitan(x)} should be local but conditional")) (|iicos| ((|#2| |#2|) "\\spad{iicos(x)} should be local but conditional")) (|iisin| ((|#2| |#2|) "\\spad{iisin(x)} should be local but conditional")) (|iilog| ((|#2| |#2|) "\\spad{iilog(x)} should be local but conditional")) (|iiexp| ((|#2| |#2|) "\\spad{iiexp(x)} should be local but conditional")) (|iisqrt3| ((|#2|) "\\spad{iisqrt3()} should be local but conditional")) (|iisqrt2| ((|#2|) "\\spad{iisqrt2()} should be local but conditional")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(p)} returns an elementary operator with the same symbol as \\spad{p}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(p)} returns \\spad{true} if operator \\spad{p} is elementary")) (|pi| ((|#2|) "\\spad{pi()} returns the \\spad{pi} operator")) (|acsch| ((|#2| |#2|) "\\spad{acsch(x)} applies the inverse hyperbolic cosecant operator to \\spad{x}")) (|asech| ((|#2| |#2|) "\\spad{asech(x)} applies the inverse hyperbolic secant operator to \\spad{x}")) (|acoth| ((|#2| |#2|) "\\spad{acoth(x)} applies the inverse hyperbolic cotangent operator to \\spad{x}")) (|atanh| ((|#2| |#2|) "\\spad{atanh(x)} applies the inverse hyperbolic tangent operator to \\spad{x}")) (|acosh| ((|#2| |#2|) "\\spad{acosh(x)} applies the inverse hyperbolic cosine operator to \\spad{x}")) (|asinh| ((|#2| |#2|) "\\spad{asinh(x)} applies the inverse hyperbolic sine operator to \\spad{x}")) (|csch| ((|#2| |#2|) "\\spad{csch(x)} applies the hyperbolic cosecant operator to \\spad{x}")) (|sech| ((|#2| |#2|) "\\spad{sech(x)} applies the hyperbolic secant operator to \\spad{x}")) (|coth| ((|#2| |#2|) "\\spad{coth(x)} applies the hyperbolic cotangent operator to \\spad{x}")) (|tanh| ((|#2| |#2|) "\\spad{tanh(x)} applies the hyperbolic tangent operator to \\spad{x}")) (|cosh| ((|#2| |#2|) "\\spad{cosh(x)} applies the hyperbolic cosine operator to \\spad{x}")) (|sinh| ((|#2| |#2|) "\\spad{sinh(x)} applies the hyperbolic sine operator to \\spad{x}")) (|acsc| ((|#2| |#2|) "\\spad{acsc(x)} applies the inverse cosecant operator to \\spad{x}")) (|asec| ((|#2| |#2|) "\\spad{asec(x)} applies the inverse secant operator to \\spad{x}")) (|acot| ((|#2| |#2|) "\\spad{acot(x)} applies the inverse cotangent operator to \\spad{x}")) (|atan| ((|#2| |#2|) "\\spad{atan(x)} applies the inverse tangent operator to \\spad{x}")) (|acos| ((|#2| |#2|) "\\spad{acos(x)} applies the inverse cosine operator to \\spad{x}")) (|asin| ((|#2| |#2|) "\\spad{asin(x)} applies the inverse sine operator to \\spad{x}")) (|csc| ((|#2| |#2|) "\\spad{csc(x)} applies the cosecant operator to \\spad{x}")) (|sec| ((|#2| |#2|) "\\spad{sec(x)} applies the secant operator to \\spad{x}")) (|cot| ((|#2| |#2|) "\\spad{cot(x)} applies the cotangent operator to \\spad{x}")) (|tan| ((|#2| |#2|) "\\spad{tan(x)} applies the tangent operator to \\spad{x}")) (|cos| ((|#2| |#2|) "\\spad{cos(x)} applies the cosine operator to \\spad{x}")) (|sin| ((|#2| |#2|) "\\spad{sin(x)} applies the sine operator to \\spad{x}")) (|log| ((|#2| |#2|) "\\spad{log(x)} applies the logarithm operator to \\spad{x}")) (|exp| ((|#2| |#2|) "\\spad{exp(x)} applies the exponential operator to \\spad{x}"))) NIL NIL -(-286 R -1963) +(-286 R -2119) ((|constructor| (NIL "ElementaryFunctionStructurePackage provides functions to test the algebraic independence of various elementary functions,{} using the Risch structure theorem (real and complex versions). It also provides transformations on elementary functions which are not considered simplifications.")) (|tanQ| ((|#2| (|Fraction| (|Integer|)) |#2|) "\\spad{tanQ(q,a)} is a local function with a conditional implementation.")) (|rootNormalize| ((|#2| |#2| (|Kernel| |#2|)) "\\spad{rootNormalize(f, k)} returns \\spad{f} rewriting either \\spad{k} which must be an \\spad{n}th-root in terms of radicals already in \\spad{f},{} or some radicals in \\spad{f} in terms of \\spad{k}.")) (|validExponential| (((|Union| |#2| "failed") (|List| (|Kernel| |#2|)) |#2| (|Symbol|)) "\\spad{validExponential([k1,...,kn],f,x)} returns \\spad{g} if \\spad{exp(f)=g} and \\spad{g} involves only \\spad{k1...kn},{} and \"failed\" otherwise.")) (|realElementary| ((|#2| |#2| (|Symbol|)) "\\spad{realElementary(f,x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.") ((|#2| |#2|) "\\spad{realElementary(f)} rewrites \\spad{f} in terms of the 4 fundamental real transcendental elementary functions: \\spad{log, exp, tan, atan}.")) (|rischNormalize| (((|Record| (|:| |func| |#2|) (|:| |kers| (|List| (|Kernel| |#2|))) (|:| |vals| (|List| |#2|))) |#2| (|Symbol|)) "\\spad{rischNormalize(f, x)} returns \\spad{[g, [k1,...,kn], [h1,...,hn]]} such that \\spad{g = normalize(f, x)} and each \\spad{ki} was rewritten as \\spad{hi} during the normalization.")) (|normalize| ((|#2| |#2| (|Symbol|)) "\\spad{normalize(f, x)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{normalize(f)} rewrites \\spad{f} using the least possible number of real algebraically independent kernels."))) NIL NIL @@ -1124,7 +1124,7 @@ NIL ((|constructor| (NIL "An eltable aggregate is one which can be viewed as a function. For example,{} the list \\axiom{[1,{}7,{}4]} can applied to 0,{}1,{} and 2 respectively will return the integers 1,{}7,{} and 4; thus this list may be viewed as mapping 0 to 1,{} 1 to 7 and 2 to 4. In general,{} an aggregate can map members of a domain {\\em Dom} to an image domain {\\em Im}.")) (|qsetelt!| ((|#2| $ |#1| |#2|) "\\spad{qsetelt!(u,x,y)} sets the image of \\axiom{\\spad{x}} to be \\axiom{\\spad{y}} under \\axiom{\\spad{u}},{} without checking that \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If such a check is required use the function \\axiom{setelt}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(u,x,y)} sets the image of \\spad{x} to be \\spad{y} under \\spad{u},{} assuming \\spad{x} is in the domain of \\spad{u}. Error: if \\spad{x} is not in the domain of \\spad{u}.")) (|qelt| ((|#2| $ |#1|) "\\spad{qelt(u, x)} applies \\axiom{\\spad{u}} to \\axiom{\\spad{x}} without checking whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}}. If \\axiom{\\spad{x}} is not in the domain of \\axiom{\\spad{u}} a memory-access violation may occur. If a check on whether \\axiom{\\spad{x}} is in the domain of \\axiom{\\spad{u}} is required,{} use the function \\axiom{elt}.")) (|elt| ((|#2| $ |#1| |#2|) "\\spad{elt(u, x, y)} applies \\spad{u} to \\spad{x} if \\spad{x} is in the domain of \\spad{u},{} and returns \\spad{y} otherwise. For example,{} if \\spad{u} is a polynomial in \\axiom{\\spad{x}} over the rationals,{} \\axiom{elt(\\spad{u},{}\\spad{n},{}0)} may define the coefficient of \\axiom{\\spad{x}} to the power \\spad{n},{} returning 0 when \\spad{n} is out of range."))) NIL NIL -(-299 S R |Mod| -1892 -2185 |exactQuo|) +(-299 S R |Mod| -3381 -3046 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#2| |#3|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#2| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#3| $) "\\spad{modulus(x)} \\undocumented"))) ((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL @@ -1146,21 +1146,21 @@ NIL NIL (-304 S) ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations e1 and e2.")) (|factorAndSplit| (((|List| $) $) "\\spad{factorAndSplit(eq)} make the right hand side 0 and factors the new left hand side. Each factor is equated to 0 and put into the resulting list without repetitions.")) (|rightOne| (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side.") (((|Union| $ "failed") $) "\\spad{rightOne(eq)} divides by the right hand side,{} if possible.")) (|leftOne| (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side.") (((|Union| $ "failed") $) "\\spad{leftOne(eq)} divides by the left hand side,{} if possible.")) (* (($ $ |#1|) "\\spad{eqn*x} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.") (($ |#1| $) "\\spad{x*eqn} produces a new equation by multiplying both sides of equation eqn by \\spad{x}.")) (- (($ $ |#1|) "\\spad{eqn-x} produces a new equation by subtracting \\spad{x} from both sides of equation eqn.") (($ |#1| $) "\\spad{x-eqn} produces a new equation by subtracting both sides of equation eqn from \\spad{x}.")) (|rightZero| (($ $) "\\spad{rightZero(eq)} subtracts the right hand side.")) (|leftZero| (($ $) "\\spad{leftZero(eq)} subtracts the left hand side.")) (+ (($ $ |#1|) "\\spad{eqn+x} produces a new equation by adding \\spad{x} to both sides of equation eqn.") (($ |#1| $) "\\spad{x+eqn} produces a new equation by adding \\spad{x} to both sides of equation eqn.")) (|eval| (($ $ (|List| $)) "\\spad{eval(eqn, [x1=v1, ... xn=vn])} replaces \\spad{xi} by \\spad{vi} in equation \\spad{eqn}.") (($ $ $) "\\spad{eval(eqn, x=f)} replaces \\spad{x} by \\spad{f} in equation \\spad{eqn}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,eqn)} constructs a new equation by applying \\spad{f} to both sides of \\spad{eqn}.")) (|rhs| ((|#1| $) "\\spad{rhs(eqn)} returns the right hand side of equation \\spad{eqn}.")) (|lhs| ((|#1| $) "\\spad{lhs(eqn)} returns the left hand side of equation \\spad{eqn}.")) (|swap| (($ $) "\\spad{swap(eq)} interchanges left and right hand side of equation \\spad{eq}.")) (|equation| (($ |#1| |#1|) "\\spad{equation(a,b)} creates an equation.")) 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Thus keys are considered equal only if they are the same instance of a structure."))) ((-4464 . T) (-4465 . 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Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) NIL NIL -(-307 -1963 S) +(-307 -2119 S) ((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f, p, k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}."))) NIL NIL -(-308 E -1963) +(-308 E -2119) ((|constructor| (NIL "This package allows a mapping \\spad{E} \\spad{->} \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f, k)} returns \\spad{g = op(f(a1),...,f(an))} where \\spad{k = op(a1,...,an)}."))) NIL NIL @@ -1208,7 +1208,7 @@ NIL ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions.")) (|eval| (($ $ (|List| (|Equation| |#1|))) "\\spad{eval(f, [x1 = v1,...,xn = vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ (|Equation| |#1|)) "\\spad{eval(f,x = v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) NIL NIL -(-320 -1963) +(-320 -2119) ((|constructor| (NIL "This package is to be used in conjuction with \\indented{12}{the CycleIndicators package. It provides an evaluation} \\indented{12}{function for SymmetricPolynomials.}")) (|eval| ((|#1| (|Mapping| |#1| (|Integer|)) (|SymmetricPolynomial| (|Fraction| (|Integer|)))) "\\spad{eval(f,s)} evaluates the cycle index \\spad{s} by applying \\indented{1}{the function \\spad{f} to each integer in a monomial partition,{}} \\indented{1}{forms their product and sums the results over all monomials.}"))) NIL NIL @@ -1223,7 +1223,7 @@ NIL (-323 R FE |var| |cen|) ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent essential singularities of functions. Objects in this domain are quotients of sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) "\\spad{coerce(f)} converts a \\spadtype{UnivariatePuiseuxSeries} to an \\spadtype{ExponentialExpansion}.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> a+,f(var))}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . 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maps to Expressions. Date Created: 16 Jan 1989 Date Last Updated: 22 Jan 1990")) (|map| (((|Expression| |#2|) (|Mapping| |#2| |#1|) (|Expression| |#1|)) "\\spad{map(f, e)} applies \\spad{f} to all the constants appearing in \\spad{e}."))) NIL @@ -1234,9 +1234,9 @@ NIL NIL (-326 R) ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) -((-4461 -2759 (-12 (|has| |#1| (-568)) (-2759 (|has| |#1| (-1070)) (|has| |#1| (-485)))) (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) ((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-568)) (-4456 |has| |#1| (-568))) -((-2759 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) 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(|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq, y, x = a, [b0,...,bn])} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, [b0,...,b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq, y, x = a, y a = b)} is equivalent to \\spad{seriesSolve(eq=0, y, x=a, y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq, y, x = a, b)} is equivalent to \\spad{seriesSolve(eq = 0, y, x = a, y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,y, x=a, b)} is equivalent to \\spad{seriesSolve(eq, y, x=a, y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a,[y1 a = b1,..., yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1=0,...,eqn=0], [y1,...,yn], x=a, [b1,...,bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x=a, [b1,...,bn])} is equivalent to \\spad{seriesSolve([eq1,...,eqn], [y1,...,yn], x = a, [y1 a = b1,..., yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,...,eqn],[y1,...,yn],x = a,[y1 a = b1,...,yn a = bn])} returns a taylor series solution of \\spad{[eq1,...,eqn]} around \\spad{x = a} with initial conditions \\spad{yi(a) = bi}. Note: eqi must be of the form \\spad{fi(x, y1 x, y2 x,..., yn x) y1'(x) + gi(x, y1 x, y2 x,..., yn x) = h(x, y1 x, y2 x,..., yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,y,x=a,[b0,...,b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x, y x, y'(x),..., y(n-1)(x)) y(n)(x) + g(x,y x,y'(x),...,y(n-1)(x)) = h(x,y x, y'(x),..., y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,y,x=a, y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x, y x) y'(x) + g(x, y x) = h(x, y x)}."))) NIL NIL @@ -1247,7 +1247,7 @@ NIL (-329 FE |var| |cen|) ((|constructor| (NIL "ExponentialOfUnivariatePuiseuxSeries is a domain used to represent essential singularities of functions. An object in this domain is a function of the form \\spad{exp(f(x))},{} where \\spad{f(x)} is a Puiseux series with no terms of non-negative degree. Objects are ordered according to order of singularity,{} with functions which tend more rapidly to zero or infinity considered to be larger. Thus,{} if \\spad{order(f(x)) < order(g(x))},{} \\spadignore{i.e.} the first non-zero term of \\spad{f(x)} has lower degree than the first non-zero term of \\spad{g(x)},{} then \\spad{exp(f(x)) > exp(g(x))}. If \\spad{order(f(x)) = order(g(x))},{} then the ordering is essentially random. This domain is used in computing limits involving functions with essential singularities.")) (|exponentialOrder| (((|Fraction| (|Integer|)) $) "\\spad{exponentialOrder(exp(c * x **(-n) + ...))} returns \\spad{-n}. exponentialOrder(0) returns \\spad{0}.")) (|exponent| (((|UnivariatePuiseuxSeries| |#1| |#2| |#3|) $) "\\spad{exponent(exp(f(x)))} returns \\spad{f(x)}")) (|exponential| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{exponential(f(x))} returns \\spad{exp(f(x))}. Note: the function does NOT check that \\spad{f(x)} has no non-negative terms."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2759 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4160) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -4113) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1759) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1584) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) (-330 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1279,12 +1279,12 @@ NIL (-337 S) ((|constructor| (NIL "\\indented{1}{A FlexibleArray is the notion of an array intended to allow for growth} at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) -(-338 S -1963) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +(-338 S -2119) ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#2|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#2|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#2| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#2| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#2|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#2|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) NIL ((|HasCategory| |#2| (QUOTE (-379)))) -(-339 -1963) +(-339 -2119) ((|constructor| (NIL "FiniteAlgebraicExtensionField {\\em F} is the category of fields which are finite algebraic extensions of the field {\\em F}. If {\\em F} is finite then any finite algebraic extension of {\\em F} is finite,{} too. Let {\\em K} be a finite algebraic extension of the finite field {\\em F}. The exponentiation of elements of {\\em K} defines a \\spad{Z}-module structure on the multiplicative group of {\\em K}. The additive group of {\\em K} becomes a module over the ring of polynomials over {\\em F} via the operation \\spadfun{linearAssociatedExp}(a:K,{}f:SparseUnivariatePolynomial \\spad{F}) which is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em K},{} {\\em c,d} from {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)} where {\\em q=size()\\$F}. The operations order and discreteLog associated with the multiplicative exponentiation have additive analogues associated to the operation \\spadfun{linearAssociatedExp}. These are the functions \\spadfun{linearAssociatedOrder} and \\spadfun{linearAssociatedLog},{} respectively.")) (|linearAssociatedLog| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") $ $) "\\spad{linearAssociatedLog(b,a)} returns a polynomial {\\em g},{} such that the \\spadfun{linearAssociatedExp}(\\spad{b},{}\\spad{g}) equals {\\em a}. If there is no such polynomial {\\em g},{} then \\spadfun{linearAssociatedLog} fails.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedLog(a)} returns a polynomial {\\em g},{} such that \\spadfun{linearAssociatedExp}(normalElement(),{}\\spad{g}) equals {\\em a}.")) (|linearAssociatedOrder| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{linearAssociatedOrder(a)} retruns the monic polynomial {\\em g} of least degree,{} such that \\spadfun{linearAssociatedExp}(a,{}\\spad{g}) is 0.")) (|linearAssociatedExp| (($ $ (|SparseUnivariatePolynomial| |#1|)) "\\spad{linearAssociatedExp(a,f)} is linear over {\\em F},{} \\spadignore{i.e.} for elements {\\em a} from {\\em \\$},{} {\\em c,d} form {\\em F} and {\\em f,g} univariate polynomials over {\\em F} we have \\spadfun{linearAssociatedExp}(a,{}cf+dg) equals {\\em c} times \\spadfun{linearAssociatedExp}(a,{}\\spad{f}) plus {\\em d} times \\spadfun{linearAssociatedExp}(a,{}\\spad{g}). Therefore \\spadfun{linearAssociatedExp} is defined completely by its action on monomials from {\\em F[X]}: \\spadfun{linearAssociatedExp}(a,{}monomial(1,{}\\spad{k})\\spad{\\$}SUP(\\spad{F})) is defined to be \\spadfun{Frobenius}(a,{}\\spad{k}) which is {\\em a**(q**k)},{} where {\\em q=size()\\$F}.")) (|generator| (($) "\\spad{generator()} returns a root of the defining polynomial. This element generates the field as an algebra over the ground field.")) (|normal?| (((|Boolean|) $) "\\spad{normal?(a)} tests whether the element \\spad{a} is normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i <= extensionDegree()-1} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Implementation according to Lidl/Niederreiter: Theorem 2.39.")) (|normalElement| (($) "\\spad{normalElement()} returns a element,{} normal over the ground field \\spad{F},{} \\spadignore{i.e.} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. At the first call,{} the element is computed by \\spadfunFrom{createNormalElement}{FiniteAlgebraicExtensionField} then cached in a global variable. On subsequent calls,{} the element is retrieved by referencing the global variable.")) (|createNormalElement| (($) "\\spad{createNormalElement()} computes a normal element over the ground field \\spad{F},{} that is,{} \\spad{a**(q**i), 0 <= i < extensionDegree()} is an \\spad{F}-basis,{} where \\spad{q = size()\\$F}. Reference: Such an element exists Lidl/Niederreiter: Theorem 2.35.")) (|trace| (($ $ (|PositiveInteger|)) "\\spad{trace(a,d)} computes the trace of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size \\spad{q}. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: \\spad{trace(a,d) = reduce(+,[a**(q**(d*i)) for i in 0..n/d])}.") ((|#1| $) "\\spad{trace(a)} computes the trace of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|norm| (($ $ (|PositiveInteger|)) "\\spad{norm(a,d)} computes the norm of \\spad{a} with respect to the field of extension degree \\spad{d} over the ground field of size. Error: if \\spad{d} does not divide the extension degree of \\spad{a}. Note: norm(a,{}\\spad{d}) = reduce(*,{}[a**(\\spad{q**}(d*i)) for \\spad{i} in 0..\\spad{n/d}])") ((|#1| $) "\\spad{norm(a)} computes the norm of \\spad{a} with respect to the field considered as an algebra with 1 over the ground field \\spad{F}.")) (|degree| (((|PositiveInteger|) $) "\\spad{degree(a)} returns the degree of the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|extensionDegree| (((|PositiveInteger|)) "\\spad{extensionDegree()} returns the degree of field extension.")) (|definingPolynomial| (((|SparseUnivariatePolynomial| |#1|)) "\\spad{definingPolynomial()} returns the polynomial used to define the field extension.")) (|minimalPolynomial| (((|SparseUnivariatePolynomial| $) $ (|PositiveInteger|)) "\\spad{minimalPolynomial(x,n)} computes the minimal polynomial of \\spad{x} over the field of extension degree \\spad{n} over the ground field \\spad{F}.") (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{minimalPolynomial(a)} returns the minimal polynomial of an element \\spad{a} over the ground field \\spad{F}.")) (|represents| (($ (|Vector| |#1|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{}...,{}\\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#1|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{F}-vectorspace basis.")) (|basis| (((|Vector| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\spad{\\$} as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\spad{\\$} as \\spad{F}-vectorspace."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL @@ -1308,15 +1308,15 @@ NIL ((|constructor| (NIL "\\indented{1}{Lift a map to finite divisors.} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 19 May 1993")) (|map| (((|FiniteDivisor| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{map(f,d)} \\undocumented{}"))) NIL NIL -(-345 S -1963 UP UPUP R) +(-345 S -2119 UP UPUP R) ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#5| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) (|:| |principalPart| |#5|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#5| |#3| |#3| |#3| |#2|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#2| |#2| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#2| |#2|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#5|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#3| (|Fraction| |#3|) |#4| |#5|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) NIL NIL -(-346 -1963 UP UPUP R) +(-346 -2119 UP UPUP R) ((|constructor| (NIL "This category describes finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|generator| (((|Union| |#4| "failed") $) "\\spad{generator(d)} returns \\spad{f} if \\spad{(f) = d},{} \"failed\" if \\spad{d} is not principal.")) (|principal?| (((|Boolean|) $) "\\spad{principal?(D)} tests if the argument is the divisor of a function.")) (|reduce| (($ $) "\\spad{reduce(D)} converts \\spad{D} to some reduced form (the reduced forms can be differents in different implementations).")) (|decompose| (((|Record| (|:| |id| (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) (|:| |principalPart| |#4|)) $) "\\spad{decompose(d)} returns \\spad{[id, f]} where \\spad{d = (id) + div(f)}.")) (|divisor| (($ |#4| |#2| |#2| |#2| |#1|) "\\spad{divisor(h, d, d', g, r)} returns the sum of all the finite points where \\spad{h/d} has residue \\spad{r}. \\spad{h} must be integral. \\spad{d} must be squarefree. \\spad{d'} is some derivative of \\spad{d} (not necessarily dd/dx). \\spad{g = gcd(d,discriminant)} contains the ramified zeros of \\spad{d}") (($ |#1| |#1| (|Integer|)) "\\spad{divisor(a, b, n)} makes the divisor \\spad{nP} where \\spad{P:} \\spad{(x = a, y = b)}. \\spad{P} is allowed to be singular if \\spad{n} is a multiple of the rank.") (($ |#1| |#1|) "\\spad{divisor(a, b)} makes the divisor \\spad{P:} \\spad{(x = a, y = b)}. Error: if \\spad{P} is singular.") (($ |#4|) "\\spad{divisor(g)} returns the divisor of the function \\spad{g}.") (($ (|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|)) "\\spad{divisor(I)} makes a divisor \\spad{D} from an ideal \\spad{I}.")) (|ideal| (((|FractionalIdeal| |#2| (|Fraction| |#2|) |#3| |#4|) $) "\\spad{ideal(D)} returns the ideal corresponding to a divisor \\spad{D}."))) NIL NIL -(-347 -1963 UP UPUP R) +(-347 -2119 UP UPUP R) ((|constructor| (NIL "This domains implements finite rational divisors on a curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve.")) (|lSpaceBasis| (((|Vector| |#4|) $) "\\spad{lSpaceBasis(d)} returns a basis for \\spad{L(d) = {f | (f) >= -d}} as a module over \\spad{K[x]}.")) (|finiteBasis| (((|Vector| |#4|) $) "\\spad{finiteBasis(d)} returns a basis for \\spad{d} as a module over {\\em K[x]}."))) NIL NIL @@ -1336,26 +1336,26 @@ NIL ((|constructor| (NIL "Lifts a map from rings to function fields over them.")) (|map| ((|#8| (|Mapping| |#5| |#1|) |#4|) "\\spad{map(f, p)} lifts \\spad{f} to \\spad{F1} and applies it to \\spad{p}."))) NIL NIL -(-352 S -1963 UP UPUP) +(-352 S -2119 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#2|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#2|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#3|) (|:| |derivden| |#3|) (|:| |gd| |#3|)) $ (|Mapping| |#3| |#3|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#3| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#3| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#2| $ |#2| |#2|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#3| |#3|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#3|)) (|:| |den| |#3|)) (|Mapping| |#3| |#3|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#3|) |#3|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#3|) |#3|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#3|)) (|:| |den| |#3|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#3|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#3|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#2|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#3|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#2|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#3|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#2|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#3|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#2|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#2| |#2|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) NIL ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-374)))) -(-353 -1963 UP UPUP) +(-353 -2119 UP UPUP) ((|constructor| (NIL "This category is a model for the function field of a plane algebraic curve.")) (|rationalPoints| (((|List| (|List| |#1|))) "\\spad{rationalPoints()} returns the list of all the affine rational points.")) (|nonSingularModel| (((|List| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{nonSingularModel(u)} returns the equations in u1,{}...,{}un of an affine non-singular model for the curve.")) (|algSplitSimple| (((|Record| (|:| |num| $) (|:| |den| |#2|) (|:| |derivden| |#2|) (|:| |gd| |#2|)) $ (|Mapping| |#2| |#2|)) "\\spad{algSplitSimple(f, D)} returns \\spad{[h,d,d',g]} such that \\spad{f=h/d},{} \\spad{h} is integral at all the normal places \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{d' = Dd},{} \\spad{g = gcd(d, discriminant())} and \\spad{D} is the derivation to use. \\spad{f} must have at most simple finite poles.")) (|hyperelliptic| (((|Union| |#2| "failed")) "\\spad{hyperelliptic()} returns \\spad{p(x)} if the curve is the hyperelliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elliptic| (((|Union| |#2| "failed")) "\\spad{elliptic()} returns \\spad{p(x)} if the curve is the elliptic defined by \\spad{y**2 = p(x)},{} \"failed\" otherwise.")) (|elt| ((|#1| $ |#1| |#1|) "\\spad{elt(f,a,b)} or \\spad{f}(a,{} \\spad{b}) returns the value of \\spad{f} at the point \\spad{(x = a, y = b)} if it is not singular.")) (|primitivePart| (($ $) "\\spad{primitivePart(f)} removes the content of the denominator and the common content of the numerator of \\spad{f}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x, d)} extends the derivation \\spad{d} from UP to \\$ and applies it to \\spad{x}.")) (|integralDerivationMatrix| (((|Record| (|:| |num| (|Matrix| |#2|)) (|:| |den| |#2|)) (|Mapping| |#2| |#2|)) "\\spad{integralDerivationMatrix(d)} extends the derivation \\spad{d} from UP to \\$ and returns (\\spad{M},{} \\spad{Q}) such that the i^th row of \\spad{M} divided by \\spad{Q} form the coordinates of \\spad{d(wi)} with respect to \\spad{(w1,...,wn)} where \\spad{(w1,...,wn)} is the integral basis returned by integralBasis().")) (|integralRepresents| (($ (|Vector| |#2|) |#2|) "\\spad{integralRepresents([A1,...,An], D)} returns \\spad{(A1 w1+...+An wn)/D} where \\spad{(w1,...,wn)} is the integral basis of \\spad{integralBasis()}.")) (|integralCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{integralCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 w1 +...+ An wn) / D} where \\spad{(w1,...,wn)} is the integral basis returned by \\spad{integralBasis()}.")) (|represents| (($ (|Vector| |#2|) |#2|) "\\spad{represents([A0,...,A(n-1)],D)} returns \\spad{(A0 + A1 y +...+ A(n-1)*y**(n-1))/D}.")) (|yCoordinates| (((|Record| (|:| |num| (|Vector| |#2|)) (|:| |den| |#2|)) $) "\\spad{yCoordinates(f)} returns \\spad{[[A1,...,An], D]} such that \\spad{f = (A1 + A2 y +...+ An y**(n-1)) / D}.")) (|inverseIntegralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrixAtInfinity()} returns \\spad{M} such that \\spad{M (v1,...,vn) = (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|integralMatrixAtInfinity| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrixAtInfinity()} returns \\spad{M} such that \\spad{(v1,...,vn) = M (1, y, ..., y**(n-1))} where \\spad{(v1,...,vn)} is the local integral basis at infinity returned by \\spad{infIntBasis()}.")) (|inverseIntegralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{inverseIntegralMatrix()} returns \\spad{M} such that \\spad{M (w1,...,wn) = (1, y, ..., y**(n-1))} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|integralMatrix| (((|Matrix| (|Fraction| |#2|))) "\\spad{integralMatrix()} returns \\spad{M} such that \\spad{(w1,...,wn) = M (1, y, ..., y**(n-1))},{} where \\spad{(w1,...,wn)} is the integral basis of \\spadfunFrom{integralBasis}{FunctionFieldCategory}.")) (|reduceBasisAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{reduceBasisAtInfinity(b1,...,bn)} returns \\spad{(x**i * bj)} for all \\spad{i},{}\\spad{j} such that \\spad{x**i*bj} is locally integral at infinity.")) (|normalizeAtInfinity| (((|Vector| $) (|Vector| $)) "\\spad{normalizeAtInfinity(v)} makes \\spad{v} normal at infinity.")) (|complementaryBasis| (((|Vector| $) (|Vector| $)) "\\spad{complementaryBasis(b1,...,bn)} returns the complementary basis \\spad{(b1',...,bn')} of \\spad{(b1,...,bn)}.")) (|integral?| (((|Boolean|) $ |#2|) "\\spad{integral?(f, p)} tests whether \\spad{f} is locally integral at \\spad{p(x) = 0}.") (((|Boolean|) $ |#1|) "\\spad{integral?(f, a)} tests whether \\spad{f} is locally integral at \\spad{x = a}.") (((|Boolean|) $) "\\spad{integral?()} tests if \\spad{f} is integral over \\spad{k[x]}.")) (|integralAtInfinity?| (((|Boolean|) $) "\\spad{integralAtInfinity?()} tests if \\spad{f} is locally integral at infinity.")) (|integralBasisAtInfinity| (((|Vector| $)) "\\spad{integralBasisAtInfinity()} returns the local integral basis at infinity.")) (|integralBasis| (((|Vector| $)) "\\spad{integralBasis()} returns the integral basis for the curve.")) (|ramified?| (((|Boolean|) |#2|) "\\spad{ramified?(p)} tests whether \\spad{p(x) = 0} is ramified.") (((|Boolean|) |#1|) "\\spad{ramified?(a)} tests whether \\spad{x = a} is ramified.")) (|ramifiedAtInfinity?| (((|Boolean|)) "\\spad{ramifiedAtInfinity?()} tests if infinity is ramified.")) (|singular?| (((|Boolean|) |#2|) "\\spad{singular?(p)} tests whether \\spad{p(x) = 0} is singular.") (((|Boolean|) |#1|) "\\spad{singular?(a)} tests whether \\spad{x = a} is singular.")) (|singularAtInfinity?| (((|Boolean|)) "\\spad{singularAtInfinity?()} tests if there is a singularity at infinity.")) (|branchPoint?| (((|Boolean|) |#2|) "\\spad{branchPoint?(p)} tests whether \\spad{p(x) = 0} is a branch point.") (((|Boolean|) |#1|) "\\spad{branchPoint?(a)} tests whether \\spad{x = a} is a branch point.")) (|branchPointAtInfinity?| (((|Boolean|)) "\\spad{branchPointAtInfinity?()} tests if there is a branch point at infinity.")) (|rationalPoint?| (((|Boolean|) |#1| |#1|) "\\spad{rationalPoint?(a, b)} tests if \\spad{(x=a,y=b)} is on the curve.")) (|absolutelyIrreducible?| (((|Boolean|)) "\\spad{absolutelyIrreducible?()} tests if the curve absolutely irreducible?")) (|genus| (((|NonNegativeInteger|)) "\\spad{genus()} returns the genus of one absolutely irreducible component")) (|numberOfComponents| (((|NonNegativeInteger|)) "\\spad{numberOfComponents()} returns the number of absolutely irreducible components."))) ((-4457 |has| (-419 |#2|) (-374)) (-4462 |has| (-419 |#2|) (-374)) (-4456 |has| (-419 |#2|) (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-354 |p| |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroup(\\spad{p},{}\\spad{n}) implements a finite field extension of degee \\spad{n} over the prime field with \\spad{p} elements. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. The Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) +((-3795 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) (-355 GF |defpol|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(\\spad{GF},{}defpol) implements a finite extension field of the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial {\\em defpol},{} which MUST be primitive (user responsibility). Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field it is used to perform additions in the field quickly."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-3795 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) (-356 GF |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(\\spad{GF},{}\\spad{n}) implements a extension of degree \\spad{n} over the ground field {\\em GF}. Its elements are represented by powers of a primitive element,{} \\spadignore{i.e.} a generator of the multiplicative (cyclic) group. As primitive element we choose the root of the extension polynomial,{} which is created by {\\em createPrimitivePoly} from \\spadtype{FiniteFieldPolynomialPackage}. Zech logarithms are stored in a table of size half of the field size,{} and use \\spadtype{SingleInteger} for representing field elements,{} hence,{} there are restrictions on the size of the field.")) (|getZechTable| (((|PrimitiveArray| (|SingleInteger|))) "\\spad{getZechTable()} returns the zech logarithm table of the field. This table is used to perform additions in the field quickly."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-3795 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) (-357 GF) ((|constructor| (NIL "FiniteFieldFunctions(\\spad{GF}) is a package with functions concerning finite extension fields of the finite ground field {\\em GF},{} \\spadignore{e.g.} Zech logarithms.")) (|createLowComplexityNormalBasis| (((|Union| (|SparseUnivariatePolynomial| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) (|PositiveInteger|)) "\\spad{createLowComplexityNormalBasis(n)} tries to find a a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix If no low complexity basis is found it calls \\axiomFunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}(\\spad{n}) to produce a normal polynomial of degree {\\em n} over {\\em GF}")) (|createLowComplexityTable| (((|Union| (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) "failed") (|PositiveInteger|)) "\\spad{createLowComplexityTable(n)} tries to find a low complexity normal basis of degree {\\em n} over {\\em GF} and returns its multiplication matrix Fails,{} if it does not find a low complexity basis")) (|sizeMultiplication| (((|NonNegativeInteger|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{sizeMultiplication(m)} returns the number of entries of the multiplication table {\\em m}.")) (|createMultiplicationMatrix| (((|Matrix| |#1|) (|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{createMultiplicationMatrix(m)} forms the multiplication table {\\em m} into a matrix over the ground field.")) (|createMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|))))) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createMultiplicationTable(f)} generates a multiplication table for the normal basis of the field extension determined by {\\em f}. This is needed to perform multiplications between elements represented as coordinate vectors to this basis. See \\spadtype{FFNBP},{} \\spadtype{FFNBX}.")) (|createZechTable| (((|PrimitiveArray| (|SingleInteger|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{createZechTable(f)} generates a Zech logarithm table for the cyclic group representation of a extension of the ground field by the primitive polynomial {\\em f(x)},{} \\spadignore{i.e.} \\spad{Z(i)},{} defined by {\\em x**Z(i) = 1+x**i} is stored at index \\spad{i}. This is needed in particular to perform addition of field elements in finite fields represented in this way. See \\spadtype{FFCGP},{} \\spadtype{FFCGX}."))) NIL @@ -1372,31 +1372,31 @@ NIL ((|constructor| (NIL "FiniteFieldCategory is the category of finite fields")) (|representationType| (((|Union| "prime" "polynomial" "normal" "cyclic")) "\\spad{representationType()} returns the type of the representation,{} one of: \\spad{prime},{} \\spad{polynomial},{} \\spad{normal},{} or \\spad{cyclic}.")) (|order| (((|PositiveInteger|) $) "\\spad{order(b)} computes the order of an element \\spad{b} in the multiplicative group of the field. Error: if \\spad{b} equals 0.")) (|discreteLog| (((|NonNegativeInteger|) $) "\\spad{discreteLog(a)} computes the discrete logarithm of \\spad{a} with respect to \\spad{primitiveElement()} of the field.")) (|primitive?| (((|Boolean|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note: see \\spad{ch}.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\spad{primitiveElement()} returns a primitive element stored in a global variable in the domain. At first call,{} the primitive element is computed by calling \\spadfun{createPrimitiveElement}.")) (|createPrimitiveElement| (($) "\\spad{createPrimitiveElement()} computes a generator of the (cyclic) multiplicative group of the field.")) (|tableForDiscreteLogarithm| (((|Table| (|PositiveInteger|) (|NonNegativeInteger|)) (|Integer|)) "\\spad{tableForDiscreteLogarithm(a,n)} returns a table of the discrete logarithms of \\spad{a**0} up to \\spad{a**(n-1)} which,{} called with key \\spad{lookup(a**i)} returns \\spad{i} for \\spad{i} in \\spad{0..n-1}. Error: if not called for prime divisors of order of \\indented{7}{multiplicative group.}")) (|factorsOfCyclicGroupSize| (((|List| (|Record| (|:| |factor| (|Integer|)) (|:| |exponent| (|Integer|))))) "\\spad{factorsOfCyclicGroupSize()} returns the factorization of size()\\spad{-1}")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(mat)},{} given a matrix representing a homogeneous system of equations,{} returns a vector whose characteristic'th powers is a non-trivial solution,{} or \"failed\" if no such vector exists.")) (|charthRoot| (($ $) "\\spad{charthRoot(a)} takes the characteristic'th root of {\\em a}. Note: such a root is alway defined in finite fields."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL -(-361 R UP -1963) +(-361 R UP -2119) ((|constructor| (NIL "In this package \\spad{R} is a Euclidean domain and \\spad{F} is a framed algebra over \\spad{R}. The package provides functions to compute the integral closure of \\spad{R} in the quotient field of \\spad{F}. It is assumed that \\spad{char(R/P) = char(R)} for any prime \\spad{P} of \\spad{R}. A typical instance of this is when \\spad{R = K[x]} and \\spad{F} is a function field over \\spad{R}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) |#1|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL (-362 |p| |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasis(\\spad{p},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the prime field with \\spad{p} elements. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial created by \\spadfunFrom{createNormalPoly}{FiniteFieldPolynomialPackage}.")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: The time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| (|PrimeField| |#1|))) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| (|PrimeField| |#1|)) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) +((-3795 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) (-363 GF |uni|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}uni) implements a finite extension of the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to. a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element,{} where \\spad{q} is the size of {\\em GF}. The normal element is chosen as a root of the extension polynomial,{} which MUST be normal over {\\em GF} (user responsibility)")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-3795 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) (-364 GF |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(\\spad{GF},{}\\spad{n}) implements a finite extension field of degree \\spad{n} over the ground field {\\em GF}. The elements are represented by coordinate vectors with respect to a normal basis,{} \\spadignore{i.e.} a basis consisting of the conjugates (\\spad{q}-powers) of an element,{} in this case called normal element. This is chosen as a root of the extension polynomial,{} created by {\\em createNormalPoly} from \\spadtype{FiniteFieldPolynomialPackage}")) (|sizeMultiplication| (((|NonNegativeInteger|)) "\\spad{sizeMultiplication()} returns the number of entries in the multiplication table of the field. Note: the time of multiplication of field elements depends on this size.")) (|getMultiplicationMatrix| (((|Matrix| |#1|)) "\\spad{getMultiplicationMatrix()} returns the multiplication table in form of a matrix.")) (|getMultiplicationTable| (((|Vector| (|List| (|Record| (|:| |value| |#1|) (|:| |index| (|SingleInteger|)))))) "\\spad{getMultiplicationTable()} returns the multiplication table for the normal basis of the field. This table is used to perform multiplications between field elements."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-3795 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) (-365 |p| |n|) ((|constructor| (NIL "FiniteField(\\spad{p},{}\\spad{n}) implements finite fields with p**n elements. This packages checks that \\spad{p} is prime. For a non-checking version,{} see \\spadtype{InnerFiniteField}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) +((-3795 (|HasCategory| (-929 |#1|) (QUOTE (-146))) (|HasCategory| (-929 |#1|) (QUOTE (-379)))) (|HasCategory| (-929 |#1|) (QUOTE (-148))) (|HasCategory| (-929 |#1|) (QUOTE (-379))) (|HasCategory| (-929 |#1|) (QUOTE (-146)))) (-366 GF |defpol|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} defpol) implements the extension of the finite field {\\em GF} generated by the extension polynomial {\\em defpol} which MUST be irreducible. Note: the user has the responsibility to ensure that {\\em defpol} is irreducible."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) -(-367 -1963 GF) +((-3795 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +(-367 -2119 GF) ((|constructor| (NIL "FiniteFieldPolynomialPackage2(\\spad{F},{}\\spad{GF}) exports some functions concerning finite fields,{} which depend on a finite field {\\em GF} and an algebraic extension \\spad{F} of {\\em GF},{} \\spadignore{e.g.} a zero of a polynomial over {\\em GF} in \\spad{F}.")) (|rootOfIrreduciblePoly| ((|#1| (|SparseUnivariatePolynomial| |#2|)) "\\spad{rootOfIrreduciblePoly(f)} computes one root of the monic,{} irreducible polynomial \\spad{f},{} which degree must divide the extension degree of {\\em F} over {\\em GF},{} \\spadignore{i.e.} \\spad{f} splits into linear factors over {\\em F}.")) (|Frobenius| ((|#1| |#1|) "\\spad{Frobenius(x)} \\undocumented{}")) (|basis| (((|Vector| |#1|) (|PositiveInteger|)) "\\spad{basis(n)} \\undocumented{}")) (|lookup| (((|PositiveInteger|) |#1|) "\\spad{lookup(x)} \\undocumented{}")) (|coerce| ((|#1| |#2|) "\\spad{coerce(x)} \\undocumented{}"))) NIL NIL @@ -1404,14 +1404,14 @@ NIL ((|constructor| (NIL "This package provides a number of functions for generating,{} counting and testing irreducible,{} normal,{} primitive,{} random polynomials over finite fields.")) (|reducedQPowers| (((|PrimitiveArray| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|)) "\\spad{reducedQPowers(f)} generates \\spad{[x,x**q,x**(q**2),...,x**(q**(n-1))]} reduced modulo \\spad{f} where \\spad{q = size()\\$GF} and \\spad{n = degree f}.")) (|leastAffineMultiple| (((|SparseUnivariatePolynomial| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{leastAffineMultiple(f)} computes the least affine polynomial which is divisible by the polynomial \\spad{f} over the finite field {\\em GF},{} \\spadignore{i.e.} a polynomial whose exponents are 0 or a power of \\spad{q},{} the size of {\\em GF}.")) (|random| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{random(m,n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{d} over the finite field {\\em GF},{} \\spad{d} between \\spad{m} and \\spad{n}.") (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{random(n)}\\$FFPOLY(\\spad{GF}) generates a random monic polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|nextPrimitiveNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitiveNormalPoly(f)} yields the next primitive normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or,{} in case these numbers are equal,{} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. If these numbers are equals,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g},{} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are coefficients according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextNormalPrimitivePoly(\\spad{f}).")) (|nextNormalPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPrimitivePoly(f)} yields the next normal primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g} or if {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than this number for \\spad{g}. Otherwise,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents for \\spad{f} are lexicographically less than those for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}. This operation is equivalent to nextPrimitiveNormalPoly(\\spad{f}).")) (|nextNormalPoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextNormalPoly(f)} yields the next normal polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the coefficient of the term of degree {\\em n-1} of \\spad{f} is less than that for \\spad{g}. In case these numbers are equal,{} \\spad{f < g} if if the number of monomials of \\spad{f} is less that for \\spad{g} or if the list of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextPrimitivePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextPrimitivePoly(f)} yields the next primitive polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the {\\em lookup} of the constant term of \\spad{f} is less than this number for \\spad{g}. If these values are equal,{} then \\spad{f < g} if if the number of monomials of \\spad{f} is less than that for \\spad{g} or if the lists of exponents of \\spad{f} are lexicographically less than the corresponding list for \\spad{g}. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|nextIrreduciblePoly| (((|Union| (|SparseUnivariatePolynomial| |#1|) "failed") (|SparseUnivariatePolynomial| |#1|)) "\\spad{nextIrreduciblePoly(f)} yields the next monic irreducible polynomial over a finite field {\\em GF} of the same degree as \\spad{f} in the following order,{} or \"failed\" if there are no greater ones. Error: if \\spad{f} has degree 0. Note: the input polynomial \\spad{f} is made monic. Also,{} \\spad{f < g} if the number of monomials of \\spad{f} is less than this number for \\spad{g}. If \\spad{f} and \\spad{g} have the same number of monomials,{} the lists of exponents are compared lexicographically. If these lists are also equal,{} the lists of coefficients are compared according to the lexicographic ordering induced by the ordering of the elements of {\\em GF} given by {\\em lookup}.")) (|createPrimitiveNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitiveNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. polynomial of degree \\spad{n} over the field {\\em GF}.")) (|createNormalPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal and primitive polynomial of degree \\spad{n} over the field {\\em GF}. Note: this function is equivalent to createPrimitiveNormalPoly(\\spad{n})")) (|createNormalPoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createNormalPoly(n)}\\$FFPOLY(\\spad{GF}) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(\\spad{GF}) yields the number of monic irreducible univariate polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|normal?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{normal?(f)} tests whether the polynomial \\spad{f} over a finite field is normal,{} \\spadignore{i.e.} its roots are linearly independent over the field.")) (|primitive?| (((|Boolean|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{primitive?(f)} tests whether the polynomial \\spad{f} over a finite field is primitive,{} \\spadignore{i.e.} all its roots are primitive."))) NIL NIL -(-369 -1963 FP FPP) +(-369 -2119 FP FPP) ((|constructor| (NIL "This package solves linear diophantine equations for Bivariate polynomials over finite fields")) (|solveLinearPolynomialEquation| (((|Union| (|List| |#3|) "failed") (|List| |#3|) |#3|) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL (-370 GF |n|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(\\spad{GF},{} \\spad{n}) implements an extension of the finite field {\\em GF} of degree \\spad{n} generated by the extension polynomial constructed by \\spadfunFrom{createIrreduciblePoly}{FiniteFieldPolynomialPackage} from \\spadtype{FiniteFieldPolynomialPackage}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-3795 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) (-371 R |ls|) ((|constructor| (NIL "This is just an interface between several packages and domains. The goal is to compute lexicographical Groebner bases of sets of polynomial with type \\spadtype{Polynomial R} by the {\\em FGLM} algorithm if this is possible (\\spadignore{i.e.} if the input system generates a zero-dimensional ideal).")) (|groebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|))) "\\axiom{groebner(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}}. If \\axiom{\\spad{lq1}} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|Polynomial| |#1|)) "failed") (|List| (|Polynomial| |#1|))) "\\axiom{fglmIfCan(\\spad{lq1})} returns the lexicographical Groebner basis of \\axiom{\\spad{lq1}} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(\\spad{lq1})} holds.")) (|zeroDimensional?| (((|Boolean|) (|List| (|Polynomial| |#1|))) "\\axiom{zeroDimensional?(\\spad{lq1})} returns \\spad{true} iff \\axiom{\\spad{lq1}} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables of \\axiom{\\spad{ls}}."))) NIL @@ -1490,7 +1490,7 @@ NIL NIL (-390) ((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,exponent,\\spadfunFrom{base}{FloatingPointSystem})} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * \\spadfunFrom{base}{FloatingPointSystem} ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-\\spadfunFrom{bits}{FloatingPointSystem})}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The \\spadfunFrom{base}{FloatingPointSystem} of the representation is binary,{} hence a \\spad{Record(m:mantissa,e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary \\spadfunFrom{base}{FloatingPointSystem},{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the \\spadfunFrom{base}{FloatingPointSystem} to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal \\spadfunFrom{base}{FloatingPointSystem} when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision \\indented{5}{\\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{pi},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )}} \\indented{5}{\\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}:\\space{2}\\spad{ O( sqrt(n) n**2 )}} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\~= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}."))) -((-4447 . T) (-4455 . T) (-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-4447 . T) (-4455 . T) (-2642 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-391 |Par|) ((|constructor| (NIL "\\indented{3}{This is a package for the approximation of real solutions for} systems of polynomial equations over the rational numbers. The results are expressed as either rational numbers or floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|realRoots| (((|List| |#1|) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{realRoots(rf, eps)} finds the real zeros of a univariate rational function with precision given by eps.") (((|List| (|List| |#1|)) (|List| (|Fraction| (|Polynomial| (|Integer|)))) (|List| (|Symbol|)) |#1|) "\\spad{realRoots(lp,lv,eps)} computes the list of the real solutions of the list \\spad{lp} of rational functions with rational coefficients with respect to the variables in \\spad{lv},{} with precision \\spad{eps}. Each solution is expressed as a list of numbers in order corresponding to the variables in \\spad{lv}.")) (|solve| (((|List| (|Equation| (|Polynomial| |#1|))) (|Equation| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(eq,eps)} finds all of the real solutions of the univariate equation \\spad{eq} of rational functions with respect to the unique variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| (|Integer|))) |#1|) "\\spad{solve(p,eps)} finds all of the real solutions of the univariate rational function \\spad{p} with rational coefficients with respect to the unique variable appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Integer|))))) |#1|) "\\spad{solve(leq,eps)} finds all of the real solutions of the system \\spad{leq} of equationas of rational functions with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| |#1|)))) (|List| (|Fraction| (|Polynomial| (|Integer|)))) |#1|) "\\spad{solve(lp,eps)} finds all of the real solutions of the system \\spad{lp} of rational functions over the rational numbers with respect to all the variables appearing in \\spad{lp},{} with precision \\spad{eps}."))) @@ -1544,7 +1544,7 @@ NIL ((|constructor| (NIL "Code to manipulate Fortran Output Stack")) (|topFortranOutputStack| (((|String|)) "\\spad{topFortranOutputStack()} returns the top element of the Fortran output stack")) (|pushFortranOutputStack| (((|Void|) (|String|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack") (((|Void|) (|FileName|)) "\\spad{pushFortranOutputStack(f)} pushes \\spad{f} onto the Fortran output stack")) (|popFortranOutputStack| (((|Void|)) "\\spad{popFortranOutputStack()} pops the Fortran output stack")) (|showFortranOutputStack| (((|Stack| (|String|))) "\\spad{showFortranOutputStack()} returns the Fortran output stack")) (|clearFortranOutputStack| (((|Stack| (|String|))) "\\spad{clearFortranOutputStack()} clears the Fortran output stack"))) NIL NIL -(-404 -1963 UP UPUP R) +(-404 -2119 UP UPUP R) ((|constructor| (NIL "\\indented{1}{Finds the order of a divisor over a finite field} Author: Manuel Bronstein Date Created: 1988 Date Last Updated: 11 Jul 1990")) (|order| (((|NonNegativeInteger|) (|FiniteDivisor| |#1| |#2| |#3| |#4|)) "\\spad{order(x)} \\undocumented"))) NIL NIL @@ -1568,11 +1568,11 @@ NIL ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,t,lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,l,ll,lv,t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,l,ll,lv)} \\undocumented{}"))) NIL NIL -(-410 -2628 |returnType| -1930 |symbols|) +(-410 -4149 |returnType| -4285 |symbols|) ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}"))) NIL NIL -(-411 -1963 UP) +(-411 -2119 UP) ((|constructor| (NIL "\\indented{1}{Full partial fraction expansion of rational functions} Author: Manuel Bronstein Date Created: 9 December 1992 Date Last Updated: June 18,{} 2010 References: \\spad{M}.Bronstein & \\spad{B}.Salvy,{} \\indented{12}{Full Partial Fraction Decomposition of Rational Functions,{}} \\indented{12}{in Proceedings of ISSAC'93,{} Kiev,{} ACM Press.}")) (|construct| (($ (|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|)))) "\\spad{construct(l)} is the inverse of fracPart.")) (|fracPart| (((|List| (|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |center| |#2|) (|:| |num| |#2|))) $) "\\spad{fracPart(f)} returns the list of summands of the fractional part of \\spad{f}.")) (|polyPart| ((|#2| $) "\\spad{polyPart(f)} returns the polynomial part of \\spad{f}.")) (|fullPartialFraction| (($ (|Fraction| |#2|)) "\\spad{fullPartialFraction(f)} returns \\spad{[p, [[j, Dj, Hj]...]]} such that \\spad{f = p(x) + \\sum_{[j,Dj,Hj] in l} \\sum_{Dj(a)=0} Hj(a)/(x - a)\\^j}.")) (+ (($ |#2| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) NIL NIL @@ -1594,7 +1594,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4447)) (|HasAttribute| |#1| (QUOTE -4455))) (-416) ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling\\spad{'s} precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling\\spad{'s} precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,e,b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\"."))) -((-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-2642 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-417 R S) ((|constructor| (NIL "\\spadtype{FactoredFunctions2} contains functions that involve factored objects whose underlying domains may not be the same. For example,{} \\spadfun{map} might be used to coerce an object of type \\spadtype{Factored(Integer)} to \\spadtype{Factored(Complex(Integer))}.")) (|map| (((|Factored| |#2|) (|Mapping| |#2| |#1|) (|Factored| |#1|)) "\\spad{map(fn,u)} is used to apply the function \\userfun{\\spad{fn}} to every factor of \\spadvar{\\spad{u}}. The new factored object will have all its information flags set to \"nil\". This function is used,{} for example,{} to coerce every factor base to another type."))) @@ -1607,7 +1607,7 @@ NIL (-419 S) ((|constructor| (NIL "Fraction takes an IntegralDomain \\spad{S} and produces the domain of Fractions with numerators and denominators from \\spad{S}. If \\spad{S} is also a GcdDomain,{} then \\spad{gcd}\\spad{'s} between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) ((-4451 -12 (|has| |#1| (-6 -4462)) (|has| |#1| (-464)) (|has| |#1| (-6 -4451))) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-861)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-557))) (-12 (|HasAttribute| |#1| (QUOTE -4462)) (|HasAttribute| |#1| (QUOTE -4451)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-861)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-557))) (-12 (|HasAttribute| |#1| (QUOTE -4462)) (|HasAttribute| |#1| (QUOTE -4451)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) (-420 S R UP) ((|constructor| (NIL "A \\spadtype{FramedAlgebra} is a \\spadtype{FiniteRankAlgebra} together with a fixed \\spad{R}-module basis.")) (|regularRepresentation| (((|Matrix| |#2|) $) "\\spad{regularRepresentation(a)} returns the matrix of the linear map defined by left multiplication by \\spad{a} with respect to the fixed basis.")) (|discriminant| ((|#2|) "\\spad{discriminant()} = determinant(traceMatrix()).")) (|traceMatrix| (((|Matrix| |#2|)) "\\spad{traceMatrix()} is the \\spad{n}-by-\\spad{n} matrix ( \\spad{Tr(vi * vj)} ),{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|convert| (($ (|Vector| |#2|)) "\\spad{convert([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.") (((|Vector| |#2|) $) "\\spad{convert(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|represents| (($ (|Vector| |#2|)) "\\spad{represents([a1,..,an])} returns \\spad{a1*v1 + ... + an*vn},{} where \\spad{v1},{} ...,{} \\spad{vn} are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}\\spad{'s} with to the fixed basis. The coordinates of \\spad{vi} are contained in the \\spad{i}th row of the matrix returned by this function.") (((|Vector| |#2|) $) "\\spad{coordinates(a)} returns the coordinates of \\spad{a} with respect to the fixed \\spad{R}-module basis.")) (|basis| (((|Vector| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) NIL @@ -1628,11 +1628,11 @@ NIL ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}"))) NIL NIL -(-425 R -1963 UP A) +(-425 R -2119 UP A) ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\spad{minimize(I)} returns a reduced set of generators for \\spad{I}.")) (|denom| ((|#1| $) "\\spad{denom(1/d * (f1,...,fn))} returns \\spad{d}.")) (|numer| (((|Vector| |#4|) $) "\\spad{numer(1/d * (f1,...,fn))} = the vector \\spad{[f1,...,fn]}.")) (|norm| ((|#2| $) "\\spad{norm(I)} returns the norm of the ideal \\spad{I}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} returns the vector \\spad{[f1,...,fn]}.")) (|ideal| (($ (|Vector| |#4|)) "\\spad{ideal([f1,...,fn])} returns the ideal \\spad{(f1,...,fn)}."))) ((-4461 . T)) NIL -(-426 R -1963 UP A |ibasis|) +(-426 R -2119 UP A |ibasis|) ((|constructor| (NIL "Module representation of fractional ideals.")) (|module| (($ (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{module(I)} returns \\spad{I} viewed has a module over \\spad{R}.") (($ (|Vector| |#4|)) "\\spad{module([f1,...,fn])} = the module generated by \\spad{(f1,...,fn)} over \\spad{R}.")) (|norm| ((|#2| $) "\\spad{norm(f)} returns the norm of the module \\spad{f}.")) (|basis| (((|Vector| |#4|) $) "\\spad{basis((f1,...,fn))} = the vector \\spad{[f1,...,fn]}."))) NIL ((|HasCategory| |#4| (LIST (QUOTE -1059) (|devaluate| |#2|)))) @@ -1651,7 +1651,7 @@ NIL (-430 R) ((|constructor| (NIL "\\spadtype{Factored} creates a domain whose objects are kept in factored form as long as possible. Thus certain operations like multiplication and \\spad{gcd} are relatively easy to do. Others,{} like addition require somewhat more work,{} and unless the argument domain provides a factor function,{} the result may not be completely factored. Each object consists of a unit and a list of factors,{} where a factor has a member of \\spad{R} (the \"base\"),{} and exponent and a flag indicating what is known about the base. A flag may be one of \"nil\",{} \"sqfr\",{} \"irred\" or \"prime\",{} which respectively mean that nothing is known about the base,{} it is square-free,{} it is irreducible,{} or it is prime. The current restriction to integral domains allows simplification to be performed without worrying about multiplication order.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(u)} returns a rational number if \\spad{u} really is one,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(u)} assumes spadvar{\\spad{u}} is actually a rational number and does the conversion to rational number (see \\spadtype{Fraction Integer}).")) (|rational?| (((|Boolean|) $) "\\spad{rational?(u)} tests if \\spadvar{\\spad{u}} is actually a rational number (see \\spadtype{Fraction Integer}).")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(fn,u)} maps the function \\userfun{\\spad{fn}} across the factors of \\spadvar{\\spad{u}} and creates a new factored object. Note: this clears the information flags (sets them to \"nil\") because the effect of \\userfun{\\spad{fn}} is clearly not known in general.")) (|unitNormalize| (($ $) "\\spad{unitNormalize(u)} normalizes the unit part of the factorization. For example,{} when working with factored integers,{} this operation will ensure that the bases are all positive integers.")) (|unit| ((|#1| $) "\\spad{unit(u)} extracts the unit part of the factorization.")) (|flagFactor| (($ |#1| (|Integer|) (|Union| "nil" "sqfr" "irred" "prime")) "\\spad{flagFactor(base,exponent,flag)} creates a factored object with a single factor whose \\spad{base} is asserted to be properly described by the information \\spad{flag}.")) (|sqfrFactor| (($ |#1| (|Integer|)) "\\spad{sqfrFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be square-free (flag = \"sqfr\").")) (|primeFactor| (($ |#1| (|Integer|)) "\\spad{primeFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be prime (flag = \"prime\").")) (|numberOfFactors| (((|NonNegativeInteger|) $) "\\spad{numberOfFactors(u)} returns the number of factors in \\spadvar{\\spad{u}}.")) (|nthFlag| (((|Union| "nil" "sqfr" "irred" "prime") $ (|Integer|)) "\\spad{nthFlag(u,n)} returns the information flag of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} \"nil\" is returned.")) (|nthFactor| ((|#1| $ (|Integer|)) "\\spad{nthFactor(u,n)} returns the base of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 1 is returned. If \\spadvar{\\spad{u}} consists only of a unit,{} the unit is returned.")) (|nthExponent| (((|Integer|) $ (|Integer|)) "\\spad{nthExponent(u,n)} returns the exponent of the \\spad{n}th factor of \\spadvar{\\spad{u}}. If \\spadvar{\\spad{n}} is not a valid index for a factor (for example,{} less than 1 or too big),{} 0 is returned.")) (|irreducibleFactor| (($ |#1| (|Integer|)) "\\spad{irreducibleFactor(base,exponent)} creates a factored object with a single factor whose \\spad{base} is asserted to be irreducible (flag = \"irred\").")) (|factors| (((|List| (|Record| (|:| |factor| |#1|) (|:| |exponent| (|Integer|)))) $) "\\spad{factors(u)} returns a list of the factors in a form suitable for iteration. That is,{} it returns a list where each element is a record containing a base and exponent. The original object is the product of all the factors and the unit (which can be extracted by \\axiom{unit(\\spad{u})}).")) (|nilFactor| (($ |#1| (|Integer|)) "\\spad{nilFactor(base,exponent)} creates a factored object with a single factor with no information about the kind of \\spad{base} (flag = \"nil\").")) (|factorList| (((|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|)))) $) "\\spad{factorList(u)} returns the list of factors with flags (for use by factoring code).")) (|makeFR| (($ |#1| (|List| (|Record| (|:| |flg| (|Union| "nil" "sqfr" "irred" "prime")) (|:| |fctr| |#1|) (|:| |xpnt| (|Integer|))))) "\\spad{makeFR(unit,listOfFactors)} creates a factored object (for use by factoring code).")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of the first factor of \\spadvar{\\spad{u}},{} or 0 if the factored form consists solely of a unit.")) (|expand| ((|#1| $) "\\spad{expand(f)} multiplies the unit and factors together,{} yielding an \"unfactored\" object. Note: this is purposely not called \\spadfun{coerce} which would cause the interpreter to do this automatically."))) ((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1242))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1242)))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-464)))) +((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1242))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1242)))) (|HasCategory| |#1| (QUOTE (-1043))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-464)))) (-431 R) ((|constructor| (NIL "\\spadtype{FactoredFunctionUtilities} implements some utility functions for manipulating factored objects.")) (|mergeFactors| (((|Factored| |#1|) (|Factored| |#1|) (|Factored| |#1|)) "\\spad{mergeFactors(u,v)} is used when the factorizations of \\spadvar{\\spad{u}} and \\spadvar{\\spad{v}} are known to be disjoint,{} \\spadignore{e.g.} resulting from a content/primitive part split. Essentially,{} it creates a new factored object by multiplying the units together and appending the lists of factors.")) (|refine| (((|Factored| |#1|) (|Factored| |#1|) (|Mapping| (|Factored| |#1|) |#1|)) "\\spad{refine(u,fn)} is used to apply the function \\userfun{\\spad{fn}} to each factor of \\spadvar{\\spad{u}} and then build a new factored object from the results. For example,{} if \\spadvar{\\spad{u}} were created by calling \\spad{nilFactor(10,2)} then \\spad{refine(u,factor)} would create a factored object equal to that created by \\spad{factor(100)} or \\spad{primeFactor(2,2) * primeFactor(5,2)}."))) NIL @@ -1680,7 +1680,7 @@ NIL ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) ((-4464 . T) (-4454 . T) (-4465 . T)) NIL -(-438 R -1963) +(-438 R -2119) ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) NIL NIL @@ -1688,7 +1688,7 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#2| |#1|) "\\spad{makeCos(e,r)} makes a sin expression with given argument and coefficient")) (|makeSin| (($ |#2| |#1|) "\\spad{makeSin(e,r)} makes a sin expression with given argument and coefficient")) (|coerce| (($ (|FourierComponent| |#2|)) "\\spad{coerce(c)} converts sin/cos terms into Fourier Series") (($ |#1|) "\\spad{coerce(r)} converts coefficients into Fourier Series"))) ((-4451 -12 (|has| |#1| (-6 -4451)) (|has| |#2| (-6 -4451))) (-4458 . T) (-4459 . T) (-4461 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4451)) (|HasAttribute| |#2| (QUOTE -4451)))) -(-440 R -1963) +(-440 R -2119) ((|constructor| (NIL "\\spadtype{FunctionSpaceIntegration} provides functions for the indefinite integration of real-valued functions.")) (|integrate| (((|Union| |#2| (|List| |#2|)) |#2| (|Symbol|)) "\\spad{integrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a real variable."))) NIL NIL @@ -1698,17 +1698,17 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1070))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (-442 R) ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f, k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n, x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,f)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,op)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a1,...,am)**n} in \\spad{x} by \\spad{f(a1,...,am)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a)**ni} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x, [s1,...,sm], [f1,...,fm], y)} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x, s, f, y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f, [foo1,...,foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo, [x1,...,xn])} returns \\spad{'foo(x1,...,xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo, x, y, z, t)} returns \\spad{'foo(x,y,z,t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo, x, y, z)} returns \\spad{'foo(x,y,z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo, x, y)} returns \\spad{'foo(x,y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo, x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) -((-4461 -2759 (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) ((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-568)) (-4456 |has| |#1| (-568))) +((-4461 -3795 (|has| |#1| (-1070)) (|has| |#1| (-485))) (-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) ((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-568)) (-4456 |has| |#1| (-568))) NIL -(-443 R -1963) +(-443 R -2119) ((|constructor| (NIL "Provides some special functions over an integral domain.")) (|iiabs| ((|#2| |#2|) "\\spad{iiabs(x)} should be local but conditional.")) (|iiGamma| ((|#2| |#2|) "\\spad{iiGamma(x)} should be local but conditional.")) (|airyBi| ((|#2| |#2|) "\\spad{airyBi(x)} returns the airybi function applied to \\spad{x}")) (|airyAi| ((|#2| |#2|) "\\spad{airyAi(x)} returns the airyai function applied to \\spad{x}")) (|besselK| ((|#2| |#2| |#2|) "\\spad{besselK(x,y)} returns the besselk function applied to \\spad{x} and \\spad{y}")) (|besselI| ((|#2| |#2| |#2|) "\\spad{besselI(x,y)} returns the besseli function applied to \\spad{x} and \\spad{y}")) (|besselY| ((|#2| |#2| |#2|) "\\spad{besselY(x,y)} returns the bessely function applied to \\spad{x} and \\spad{y}")) (|besselJ| ((|#2| |#2| |#2|) "\\spad{besselJ(x,y)} returns the besselj function applied to \\spad{x} and \\spad{y}")) (|polygamma| ((|#2| |#2| |#2|) "\\spad{polygamma(x,y)} returns the polygamma function applied to \\spad{x} and \\spad{y}")) (|digamma| ((|#2| |#2|) "\\spad{digamma(x)} returns the digamma function applied to \\spad{x}")) (|Beta| ((|#2| |#2| |#2|) "\\spad{Beta(x,y)} returns the beta function applied to \\spad{x} and \\spad{y}")) (|Gamma| ((|#2| |#2| |#2|) "\\spad{Gamma(a,x)} returns the incomplete Gamma function applied to a and \\spad{x}") ((|#2| |#2|) "\\spad{Gamma(f)} returns the formal Gamma function applied to \\spad{f}")) (|abs| ((|#2| |#2|) "\\spad{abs(f)} returns the absolute value operator applied to \\spad{f}")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\spad{F}; error if \\spad{op} is not a special function operator")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} is \\spad{true} if \\spad{op} is a special function operator."))) NIL NIL -(-444 R -1963) +(-444 R -2119) ((|constructor| (NIL "FunctionsSpacePrimitiveElement provides functions to compute primitive elements in functions spaces.")) (|primitiveElement| (((|Record| (|:| |primelt| |#2|) (|:| |pol1| (|SparseUnivariatePolynomial| |#2|)) (|:| |pol2| (|SparseUnivariatePolynomial| |#2|)) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) |#2| |#2|) "\\spad{primitiveElement(a1, a2)} returns \\spad{[a, q1, q2, q]} such that \\spad{k(a1, a2) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The minimal polynomial for a2 may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve a2; This operations uses \\spadfun{resultant}.") (((|Record| (|:| |primelt| |#2|) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#2|))) (|:| |prim| (|SparseUnivariatePolynomial| |#2|))) (|List| |#2|)) "\\spad{primitiveElement([a1,...,an])} returns \\spad{[a, [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}."))) NIL ((|HasCategory| |#2| (QUOTE (-27)))) -(-445 R -1963) +(-445 R -2119) ((|constructor| (NIL "This package provides function which replaces transcendental kernels in a function space by random integers. The correspondence between the kernels and the integers is fixed between calls to new().")) (|newReduc| (((|Void|)) "\\spad{newReduc()} \\undocumented")) (|bringDown| (((|SparseUnivariatePolynomial| (|Fraction| (|Integer|))) |#2| (|Kernel| |#2|)) "\\spad{bringDown(f,k)} \\undocumented") (((|Fraction| (|Integer|)) |#2|) "\\spad{bringDown(f)} \\undocumented"))) NIL NIL @@ -1716,7 +1716,7 @@ NIL ((|constructor| (NIL "Creates and manipulates objects which correspond to the basic FORTRAN data types: REAL,{} INTEGER,{} COMPLEX,{} LOGICAL and CHARACTER")) (= (((|Boolean|) $ $) "\\spad{x=y} tests for equality")) (|logical?| (((|Boolean|) $) "\\spad{logical?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type LOGICAL.")) (|character?| (((|Boolean|) $) "\\spad{character?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type CHARACTER.")) (|doubleComplex?| (((|Boolean|) $) "\\spad{doubleComplex?(t)} tests whether \\spad{t} is equivalent to the (non-standard) FORTRAN type DOUBLE COMPLEX.")) (|complex?| (((|Boolean|) $) "\\spad{complex?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type COMPLEX.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type INTEGER.")) (|double?| (((|Boolean|) $) "\\spad{double?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type DOUBLE PRECISION")) (|real?| (((|Boolean|) $) "\\spad{real?(t)} tests whether \\spad{t} is equivalent to the FORTRAN type REAL.")) (|coerce| (((|SExpression|) $) "\\spad{coerce(x)} returns the \\spad{s}-expression associated with \\spad{x}") (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol associated with \\spad{x}") (($ (|Symbol|)) "\\spad{coerce(s)} transforms the symbol \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of real,{} complex,{}double precision,{} logical,{} integer,{} character,{} REAL,{} COMPLEX,{} LOGICAL,{} INTEGER,{} CHARACTER,{} DOUBLE PRECISION") (($ (|String|)) "\\spad{coerce(s)} transforms the string \\spad{s} into an element of FortranScalarType provided \\spad{s} is one of \"real\",{} \"double precision\",{} \"complex\",{} \"logical\",{} \"integer\",{} \"character\",{} \"REAL\",{} \"COMPLEX\",{} \"LOGICAL\",{} \"INTEGER\",{} \"CHARACTER\",{} \"DOUBLE PRECISION\""))) NIL NIL -(-447 R -1963 UP) +(-447 R -2119 UP) ((|constructor| (NIL "\\indented{1}{Used internally by IR2F} Author: Manuel Bronstein Date Created: 12 May 1988 Date Last Updated: 22 September 1993 Keywords: function,{} space,{} polynomial,{} factoring")) (|anfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) "failed") |#3|) "\\spad{anfactor(p)} tries to factor \\spad{p} over algebraic numbers,{} returning \"failed\" if it cannot")) (|UP2ifCan| (((|Union| (|:| |overq| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) (|:| |overan| (|SparseUnivariatePolynomial| (|AlgebraicNumber|))) (|:| |failed| (|Boolean|))) |#3|) "\\spad{UP2ifCan(x)} should be local but conditional.")) (|qfactor| (((|Union| (|Factored| (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "failed") |#3|) "\\spad{qfactor(p)} tries to factor \\spad{p} over fractions of integers,{} returning \"failed\" if it cannot")) (|ffactor| (((|Factored| |#3|) |#3|) "\\spad{ffactor(p)} tries to factor a univariate polynomial \\spad{p} over \\spad{F}"))) NIL ((|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-48))))) @@ -1748,7 +1748,7 @@ NIL ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,sqf,pd,r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r,sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,listOfDegrees,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,p,listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,p,r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,d,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,listOfDegrees,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by \\spadfunFrom{completeHensel}{GeneralHenselPackage}. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object."))) NIL NIL -(-455 R UP -1963) +(-455 R UP -2119) ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizationUtilities} provides functions that will be used by the factorizer.")) (|length| ((|#3| |#2|) "\\spad{length(p)} returns the sum of the absolute values of the coefficients of the polynomial \\spad{p}.")) (|height| ((|#3| |#2|) "\\spad{height(p)} returns the maximal absolute value of the coefficients of the polynomial \\spad{p}.")) (|infinityNorm| ((|#3| |#2|) "\\spad{infinityNorm(f)} returns the maximal absolute value of the coefficients of the polynomial \\spad{f}.")) (|quadraticNorm| ((|#3| |#2|) "\\spad{quadraticNorm(f)} returns the \\spad{l2} norm of the polynomial \\spad{f}.")) (|norm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{norm(f,p)} returns the \\spad{lp} norm of the polynomial \\spad{f}.")) (|singleFactorBound| (((|Integer|) |#2|) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{p} shall be of degree higher or equal to 2.") (((|Integer|) |#2| (|NonNegativeInteger|)) "\\spad{singleFactorBound(p,r)} returns a bound on the infinite norm of the factor of \\spad{p} with smallest Bombieri\\spad{'s} norm. \\spad{r} is a lower bound for the number of factors of \\spad{p}. \\spad{p} shall be of degree higher or equal to 2.")) (|rootBound| (((|Integer|) |#2|) "\\spad{rootBound(p)} returns a bound on the largest norm of the complex roots of \\spad{p}.")) (|bombieriNorm| ((|#3| |#2| (|PositiveInteger|)) "\\spad{bombieriNorm(p,n)} returns the \\spad{n}th Bombieri\\spad{'s} norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri\\spad{'s} norm of \\spad{p}.")) (|beauzamyBound| (((|Integer|) |#2|) "\\spad{beauzamyBound(p)} returns a bound on the larger coefficient of any factor of \\spad{p}."))) NIL NIL @@ -1795,7 +1795,7 @@ NIL (-466 |vl| R E) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is specified by its third parameter. Suggested types which define term orderings include: \\spadtype{DirectProduct},{} \\spadtype{HomogeneousDirectProduct},{} \\spadtype{SplitHomogeneousDirectProduct} and finally \\spadtype{OrderedDirectProduct} which accepts an arbitrary user function to define a term ordering.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial"))) (((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . 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A table containing the solutions of \\spad{Af+Bg=x**k} is used. The operations are performed modulus a prime which are in principle big enough,{} but the solutions are tested and,{} in case of failure,{} a hensel lifting process is used to get to the right solutions. It will be used in the factorization of multivariate polynomials over finite field,{} with \\spad{R=F[x]}.")) (|testModulus| (((|Boolean|) |#1| (|List| |#2|)) "\\spad{testModulus(p,lp)} returns \\spad{true} if the the prime \\spad{p} is valid for the list of polynomials \\spad{lp},{} \\spadignore{i.e.} preserves the degree and they remain relatively prime.")) (|solveid| (((|Union| (|List| |#2|) "failed") |#2| |#1| (|Vector| (|List| |#2|))) "\\spad{solveid(h,table)} computes the coefficients of the extended euclidean algorithm for a list of polynomials whose tablePow is \\spad{table} and with right side \\spad{h}.")) (|tablePow| (((|Union| (|Vector| (|List| |#2|)) "failed") (|NonNegativeInteger|) |#1| (|List| |#2|)) "\\spad{tablePow(maxdeg,prime,lpol)} constructs the table with the coefficients of the Extended Euclidean Algorithm for \\spad{lpol}. Here the right side is \\spad{x**k},{} for \\spad{k} less or equal to \\spad{maxdeg}. The operation returns \"failed\" when the elements are not coprime modulo \\spad{prime}.")) (|compBound| (((|NonNegativeInteger|) |#2| (|List| |#2|)) "\\spad{compBound(p,lp)} computes a bound for the coefficients of the solution polynomials. Given a polynomial right hand side \\spad{p},{} and a list \\spad{lp} of left hand side polynomials. Exported because it depends on the valuation.")) (|reduction| ((|#2| |#2| |#1|) "\\spad{reduction(p,prime)} reduces the polynomial \\spad{p} modulo \\spad{prime} of \\spad{R}. Note: this function is exported only because it\\spad{'s} conditional."))) NIL @@ -1860,7 +1860,7 @@ NIL ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module\\spad{''},{} \\spadignore{i.e.} collection of \\spad{R}-modules indexed by an abelian monoid \\spad{E}. An element \\spad{g} of \\spad{G[s]} for some specific \\spad{s} in \\spad{E} is said to be an element of \\spad{G} with {\\em degree} \\spad{s}. Sums are defined in each module \\spad{G[s]} so two elements of \\spad{G} have a sum if they have the same degree. \\blankline Morphisms can be defined and composed by degree to give the mathematical category of graded modules.")) (+ (($ $ $) "\\spad{g+h} is the sum of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.")) (- (($ $ $) "\\spad{g-h} is the difference of \\spad{g} and \\spad{h} in the module of elements of the same degree as \\spad{g} and \\spad{h}. Error: if \\spad{g} and \\spad{h} have different degrees.") (($ $) "\\spad{-g} is the additive inverse of \\spad{g} in the module of elements of the same grade as \\spad{g}.")) (* (($ $ |#1|) "\\spad{g*r} is right module multiplication.") (($ |#1| $) "\\spad{r*g} is left module multiplication.")) ((|Zero|) (($) "0 denotes the zero of degree 0.")) (|degree| ((|#2| $) "\\spad{degree(g)} names the degree of \\spad{g}. The set of all elements of a given degree form an \\spad{R}-module."))) NIL NIL -(-483 |lv| -1963 R) +(-483 |lv| -2119 R) ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni,{} Summer \\spad{'88},{} revised November \\spad{'89}} Solve systems of polynomial equations using Groebner bases Total order Groebner bases are computed and then converted to lex ones This package is mostly intended for internal use.")) (|genericPosition| (((|Record| (|:| |dpolys| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |coords| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{genericPosition(lp,lv)} puts a radical zero dimensional ideal in general position,{} for system \\spad{lp} in variables \\spad{lv}.")) (|testDim| (((|Union| (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "failed") (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{testDim(lp,lv)} tests if the polynomial system \\spad{lp} in variables \\spad{lv} is zero dimensional.")) (|groebSolve| (((|List| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|OrderedVariableList| |#1|))) "\\spad{groebSolve(lp,lv)} reduces the polynomial system \\spad{lp} in variables \\spad{lv} to triangular form. Algorithm based on groebner bases algorithm with linear algebra for change of ordering. Preprocessing for the general solver. The polynomials in input are of type \\spadtype{DMP}."))) NIL NIL @@ -1875,11 +1875,11 @@ NIL (-486 |Coef| |var| |cen|) ((|constructor| (NIL "This is a category of univariate Puiseux series constructed from univariate Laurent series. A Puiseux series is represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x\\^r)}.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|UnivariatePuiseuxSeries| |#1| |#2| |#3|)) "\\spad{coerce(f)} converts a Puiseux series to a general power series.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . 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The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) ((-4465 . T) (-4464 . T)) @@ -1895,7 +1895,7 @@ NIL (-491 |Key| |Entry| |hashfn|) ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) ((-4464 . T) (-4465 . 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Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens, maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens, leftCandidate, rightCandidate, left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,wt,rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight \\spad{<=} \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) NIL @@ -1903,11 +1903,11 @@ NIL (-493 |vl| R) ((|constructor| (NIL "\\indented{2}{This type supports distributed multivariate polynomials} whose variables are from a user specified list of symbols. The coefficient ring may be non commutative,{} but the variables are assumed to commute. The term ordering is total degree ordering refined by reverse lexicographic ordering with respect to the position that the variables appear in the list of variables parameter.")) 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(|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header \\spad{`h'}.")) (|name| (((|Identifier|) $) "\\spad{name(h)} returns the name of the operation defined defined.")) (|headAst| (($ (|Identifier|) (|List| (|ParameterAst|))) "\\spad{headAst(f,[x1,..,xn])} constructs a function definition header."))) NIL @@ -1915,8 +1915,8 @@ NIL (-496 S) ((|constructor| (NIL "Heap implemented in a flexible array to allow for insertions")) (|heap| (($ (|List| |#1|)) "\\spad{heap(ls)} creates a heap of elements consisting of the elements of \\spad{ls}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-497 -1963 UP UPUP R) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +(-497 -2119 UP UPUP R) ((|constructor| (NIL "This domains implements finite rational divisors on an hyperelliptic curve,{} that is finite formal sums SUM(\\spad{n} * \\spad{P}) where the \\spad{n}\\spad{'s} are integers and the \\spad{P}\\spad{'s} are finite rational points on the curve. The equation of the curve must be \\spad{y^2} = \\spad{f}(\\spad{x}) and \\spad{f} must have odd degree."))) NIL NIL @@ -1927,7 +1927,7 @@ NIL (-499) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating hexadecimal expansions.")) (|hex| (($ (|Fraction| (|Integer|))) "\\spad{hex(r)} converts a rational number to a hexadecimal expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(h)} returns the fractional part of a hexadecimal expansion."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . 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In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#2| $) "\\spad{member?(x,u)} tests if \\spad{x} is a member of \\spad{u}. For collections,{} \\axiom{member?(\\spad{x},{}\\spad{u}) = reduce(or,{}[x=y for \\spad{y} in \\spad{u}],{}\\spad{false})}.")) (|members| (((|List| |#2|) $) "\\spad{members(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|parts| (((|List| |#2|) $) "\\spad{parts(u)} returns a list of the consecutive elements of \\spad{u}. For collections,{} \\axiom{parts([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = (\\spad{x},{}\\spad{y},{}...,{}\\spad{z})}.")) (|count| (((|NonNegativeInteger|) |#2| $) "\\spad{count(x,u)} returns the number of occurrences of \\spad{x} in \\spad{u}. For collections,{} \\axiom{count(\\spad{x},{}\\spad{u}) = reduce(+,{}[x=y for \\spad{y} in \\spad{u}],{}0)}.") (((|NonNegativeInteger|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{count(p,u)} returns the number of elements \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. For collections,{} \\axiom{count(\\spad{p},{}\\spad{u}) = reduce(+,{}[1 for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})],{}0)}.")) (|every?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{every?(f,u)} tests if \\spad{p}(\\spad{x}) is \\spad{true} for all elements \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{every?(\\spad{p},{}\\spad{u}) = reduce(and,{}map(\\spad{f},{}\\spad{u}),{}\\spad{true},{}\\spad{false})}.")) (|any?| (((|Boolean|) (|Mapping| (|Boolean|) |#2|) $) "\\spad{any?(p,u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#2| |#2|) $) "\\spad{map!(f,u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) NIL @@ -1952,7 +1952,7 @@ NIL ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) NIL NIL -(-506 -1963 UP |AlExt| |AlPol|) +(-506 -2119 UP |AlExt| |AlPol|) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP\\spad{'s}.")) (|factor| (((|Factored| |#4|) |#4| (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{factor(p, f)} returns a prime factorisation of \\spad{p}; \\spad{f} is a factorisation map for elements of UP."))) NIL NIL @@ -1963,16 +1963,16 @@ NIL (-508 S |mn|) ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan Aug/87} This is the basic one dimensional array data type."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-509 R |mnRow| |mnCol|) ((|constructor| (NIL "\\indented{1}{An IndexedTwoDimensionalArray is a 2-dimensional array where} the minimal row and column indices are parameters of the type. Rows and columns are returned as IndexedOneDimensionalArray\\spad{'s} with minimal indices matching those of the IndexedTwoDimensionalArray. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-510 K R UP) ((|constructor| (NIL "\\indented{1}{Author: Clifton Williamson} Date Created: 9 August 1993 Date Last Updated: 3 December 1993 Basic Operations: chineseRemainder,{} factorList Related Domains: PAdicWildFunctionFieldIntegralBasis(\\spad{K},{}\\spad{R},{}UP,{}\\spad{F}) Also See: WildFunctionFieldIntegralBasis,{} FunctionFieldIntegralBasis AMS Classifications: Keywords: function field,{} finite field,{} integral basis Examples: References: Description:")) (|chineseRemainder| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|List| |#3|) (|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|NonNegativeInteger|)) "\\spad{chineseRemainder(lu,lr,n)} \\undocumented")) (|listConjugateBases| (((|List| (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) (|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{listConjugateBases(bas,q,n)} returns the list \\spad{[bas,bas^Frob,bas^(Frob^2),...bas^(Frob^(n-1))]},{} where \\spad{Frob} raises the coefficients of all polynomials appearing in the basis \\spad{bas} to the \\spad{q}th power.")) (|factorList| (((|List| (|SparseUnivariatePolynomial| |#1|)) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorList(k,n,m,j)} \\undocumented"))) NIL NIL -(-511 R UP -1963) +(-511 R UP -2119) ((|constructor| (NIL "This package contains functions used in the packages FunctionFieldIntegralBasis and NumberFieldIntegralBasis.")) (|moduleSum| (((|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|))) (|Record| (|:| |basis| (|Matrix| |#1|)) (|:| |basisDen| |#1|) (|:| |basisInv| (|Matrix| |#1|)))) "\\spad{moduleSum(m1,m2)} returns the sum of two modules in the framed algebra \\spad{F}. Each module \\spad{mi} is represented as follows: \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn} and \\spad{mi} is a record \\spad{[basis,basisDen,basisInv]}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then a basis \\spad{v1,...,vn} for \\spad{mi} is given by \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|idealiserMatrix| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiserMatrix(m1, m2)} returns the matrix representing the linear conditions on the Ring associatied with an ideal defined by \\spad{m1} and \\spad{m2}.")) (|idealiser| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{idealiser(m1,m2,d)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2} where \\spad{d} is the known part of the denominator") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{idealiser(m1,m2)} computes the order of an ideal defined by \\spad{m1} and \\spad{m2}")) (|leastPower| (((|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{leastPower(p,n)} returns \\spad{e},{} where \\spad{e} is the smallest integer such that \\spad{p **e >= n}")) (|divideIfCan!| ((|#1| (|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Integer|)) "\\spad{divideIfCan!(matrix,matrixOut,prime,n)} attempts to divide the entries of \\spad{matrix} by \\spad{prime} and store the result in \\spad{matrixOut}. If it is successful,{} 1 is returned and if not,{} \\spad{prime} is returned. Here both \\spad{matrix} and \\spad{matrixOut} are \\spad{n}-by-\\spad{n} upper triangular matrices.")) (|matrixGcd| ((|#1| (|Matrix| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{matrixGcd(mat,sing,n)} is \\spad{gcd(sing,g)} where \\spad{g} is the \\spad{gcd} of the entries of the \\spad{n}-by-\\spad{n} upper-triangular matrix \\spad{mat}.")) (|diagonalProduct| ((|#1| (|Matrix| |#1|)) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1992,7 +1992,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL NIL -(-516 -1963 |Expon| |VarSet| |DPoly|) +(-516 -2119 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#4| (|List| |#3|)) "\\spad{saturate(I,f,lvar)} is the saturation with respect to the prime principal ideal which is generated by \\spad{f} in the polynomial ring \\spad{F[lvar]}.") (($ $ |#4|) "\\spad{saturate(I,f)} is the saturation of the ideal \\spad{I} with respect to the multiplicative set generated by the polynomial \\spad{f}.")) (|coerce| (($ (|List| |#4|)) "\\spad{coerce(polyList)} converts the list of polynomials \\spad{polyList} to an ideal.")) (|generators| (((|List| |#4|) $) "\\spad{generators(I)} returns a list of generators for the ideal \\spad{I}.")) (|groebner?| (((|Boolean|) $) "\\spad{groebner?(I)} tests if the generators of the ideal \\spad{I} are a Groebner basis.")) (|groebnerIdeal| (($ (|List| |#4|)) "\\spad{groebnerIdeal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList} which are assumed to be a Groebner basis. Note: this operation avoids a Groebner basis computation.")) (|ideal| (($ (|List| |#4|)) "\\spad{ideal(polyList)} constructs the ideal generated by the list of polynomials \\spad{polyList}.")) (|leadingIdeal| (($ $) "\\spad{leadingIdeal(I)} is the ideal generated by the leading terms of the elements of the ideal \\spad{I}.")) (|dimension| (((|Integer|) $) "\\spad{dimension(I)} gives the dimension of the ideal \\spad{I}. in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Integer|) $ (|List| |#3|)) "\\spad{dimension(I,lvar)} gives the dimension of the ideal \\spad{I},{} in the ring \\spad{F[lvar]}")) (|backOldPos| (($ (|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $))) "\\spad{backOldPos(genPos)} takes the result produced by \\spadfunFrom{generalPosition}{PolynomialIdeals} and performs the inverse transformation,{} returning the original ideal \\spad{backOldPos(generalPosition(I,listvar))} = \\spad{I}.")) (|generalPosition| (((|Record| (|:| |mval| (|Matrix| |#1|)) (|:| |invmval| (|Matrix| |#1|)) (|:| |genIdeal| $)) $ (|List| |#3|)) "\\spad{generalPosition(I,listvar)} perform a random linear transformation on the variables in \\spad{listvar} and returns the transformed ideal along with the change of basis matrix.")) (|groebner| (($ $) "\\spad{groebner(I)} returns a set of generators of \\spad{I} that are a Groebner basis for \\spad{I}.")) (|quotient| (($ $ |#4|) "\\spad{quotient(I,f)} computes the quotient of the ideal \\spad{I} by the principal ideal generated by the polynomial \\spad{f},{} \\spad{(I:(f))}.") (($ $ $) "\\spad{quotient(I,J)} computes the quotient of the ideals \\spad{I} and \\spad{J},{} \\spad{(I:J)}.")) (|intersect| (($ (|List| $)) "\\spad{intersect(LI)} computes the intersection of the list of ideals \\spad{LI}.") (($ $ $) "\\spad{intersect(I,J)} computes the intersection of the ideals \\spad{I} and \\spad{J}.")) (|zeroDim?| (((|Boolean|) $) "\\spad{zeroDim?(I)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]},{} where lvar are the variables appearing in \\spad{I}") (((|Boolean|) $ (|List| |#3|)) "\\spad{zeroDim?(I,lvar)} tests if the ideal \\spad{I} is zero dimensional,{} \\spadignore{i.e.} all its associated primes are maximal,{} in the ring \\spad{F[lvar]}")) (|inRadical?| (((|Boolean|) |#4| $) "\\spad{inRadical?(f,I)} tests if some power of the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|in?| (((|Boolean|) $ $) "\\spad{in?(I,J)} tests if the ideal \\spad{I} is contained in the ideal \\spad{J}.")) (|element?| (((|Boolean|) |#4| $) "\\spad{element?(f,I)} tests whether the polynomial \\spad{f} belongs to the ideal \\spad{I}.")) (|zero?| (((|Boolean|) $) "\\spad{zero?(I)} tests whether the ideal \\spad{I} is the zero ideal")) (|one?| (((|Boolean|) $) "\\spad{one?(I)} tests whether the ideal \\spad{I} is the unit ideal,{} \\spadignore{i.e.} contains 1.")) (+ (($ $ $) "\\spad{I+J} computes the ideal generated by the union of \\spad{I} and \\spad{J}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{I**n} computes the \\spad{n}th power of the ideal \\spad{I}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-1197))))) @@ -2005,13 +2005,13 @@ NIL NIL NIL (-519 A S) -((|constructor| (NIL "\\indented{1}{Indexed direct products of abelian groups over an abelian group \\spad{A} of} generators indexed by the ordered set \\spad{S}. All items have finite support: only non-zero terms are stored.")) (|construct| (($ (|List| (|Pair| |#1| |#2|))) "\\spad{construct l} returns an object that is a linear combination with support in \\spad{A} and coefficients in \\spad{A}."))) -NIL +((|constructor| (NIL "\\indented{1}{Indexed direct products of abelian groups over an abelian group \\spad{A} of} generators indexed by the ordered set \\spad{S}. All items have finite support: only non-zero terms are stored."))) NIL +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121))))) (-520 A S) ((|constructor| (NIL "\\indented{1}{Indexed direct products of abelian monoids over an abelian monoid \\spad{A} of} generators indexed by the ordered set \\spad{S}. All items have finite support. Only non-zero terms are stored."))) NIL -NIL +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121))))) (-521 A S) ((|constructor| (NIL "This category represents the direct product of some set with respect to an ordered indexing set.")) (|terms| (((|List| (|Pair| |#2| |#1|)) $) "\\spad{terms x} returns the list of terms in \\spad{x}. Each term is a pair of a support (the first component) and the corresponding value (the second component).")) (|reductum| (($ $) "\\spad{reductum(z)} returns a new element created by removing the leading coefficient/support pair from the element \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingSupport| ((|#2| $) "\\spad{leadingSupport(z)} returns the index of leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|leadingCoefficient| ((|#1| $) "\\spad{leadingCoefficient(z)} returns the coefficient of the leading (with respect to the ordering on the indexing set) monomial of \\spad{z}. Error: if \\spad{z} has no support.")) (|monomial| (($ |#1| |#2|) "\\spad{monomial(a,s)} constructs a direct product element with the \\spad{s} component set to \\spad{a}")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,z)} returns the new element created by applying the function \\spad{f} to each component of the direct product element \\spad{z}."))) NIL @@ -2019,15 +2019,15 @@ NIL (-522 A S) ((|constructor| (NIL "\\indented{1}{Indexed direct products of ordered abelian monoids \\spad{A} of} generators indexed by the ordered set \\spad{S}. The inherited order is lexicographical. All items have finite support: only non-zero terms are stored."))) NIL -NIL +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121))))) (-523 A S) ((|constructor| (NIL "\\indented{1}{Indexed direct products of ordered abelian monoid sups \\spad{A},{}} generators indexed by the ordered set \\spad{S}. All items have finite support: only non-zero terms are stored."))) NIL -NIL +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121))))) (-524 A S) ((|constructor| (NIL "Indexed direct products of objects over a set \\spad{A} of generators indexed by an ordered set \\spad{S}. All items have finite support."))) NIL -NIL +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121))))) (-525 S A B) ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation\\spad{''} substitutions. The difference between this and \\spadtype{Evalable} is that the operations in this category specify the substitution as a pair of arguments rather than as an equation.")) (|eval| (($ $ (|List| |#2|) (|List| |#3|)) "\\spad{eval(f, [x1,...,xn], [v1,...,vn])} replaces \\spad{xi} by \\spad{vi} in \\spad{f}.") (($ $ |#2| |#3|) "\\spad{eval(f, x, v)} replaces \\spad{x} by \\spad{v} in \\spad{f}."))) NIL @@ -2043,7 +2043,7 @@ NIL (-528 S |mn|) ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|Integer|)) "\\spad{physicalLength!(x,n)} changes the physical length of \\spad{x} to be \\spad{n} and returns the new array.")) (|physicalLength| (((|NonNegativeInteger|) $) "\\spad{physicalLength(x)} returns the number of elements \\spad{x} can accomodate before growing")) (|flexibleArray| (($ (|List| |#1|)) "\\spad{flexibleArray(l)} creates a flexible array from the list of elements \\spad{l}"))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-529) ((|constructor| (NIL "This domain represents AST for conditional expressions.")) (|elseBranch| (((|SpadAst|) $) "thenBranch(\\spad{e}) returns the `else-branch' of `e'.")) (|thenBranch| (((|SpadAst|) $) "\\spad{thenBranch(e)} returns the `then-branch' of `e'.")) (|condition| (((|SpadAst|) $) "\\spad{condition(e)} returns the condition of the if-expression `e'."))) NIL @@ -2051,15 +2051,15 @@ NIL (-530 |p| |n|) ((|constructor| (NIL "InnerFiniteField(\\spad{p},{}\\spad{n}) implements finite fields with \\spad{p**n} elements where \\spad{p} is assumed prime but does not check. For a version which checks that \\spad{p} is prime,{} see \\spadtype{FiniteField}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((-2759 (|HasCategory| (-593 |#1|) (QUOTE (-146))) (|HasCategory| (-593 |#1|) (QUOTE (-379)))) (|HasCategory| (-593 |#1|) (QUOTE (-148))) (|HasCategory| (-593 |#1|) (QUOTE (-379))) (|HasCategory| (-593 |#1|) (QUOTE (-146)))) +((-3795 (|HasCategory| (-593 |#1|) (QUOTE (-146))) (|HasCategory| (-593 |#1|) (QUOTE (-379)))) (|HasCategory| (-593 |#1|) (QUOTE (-148))) (|HasCategory| (-593 |#1|) (QUOTE (-379))) (|HasCategory| (-593 |#1|) (QUOTE (-146)))) (-531 R |mnRow| |mnCol| |Row| |Col|) ((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray\\spad{'s} of PrimitiveArray\\spad{'s}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-532 S |mn|) ((|constructor| (NIL "\\spadtype{IndexedList} is a basic implementation of the functions in \\spadtype{ListAggregate},{} often using functions in the underlying LISP system. The second parameter to the constructor (\\spad{mn}) is the beginning index of the list. That is,{} if \\spad{l} is a list,{} then \\spad{elt(l,mn)} is the first value. This constructor is probably best viewed as the implementation of singly-linked lists that are addressable by index rather than as a mere wrapper for LISP lists."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-533 R |Row| |Col| M) ((|constructor| (NIL "\\spadtype{InnerMatrixLinearAlgebraFunctions} is an internal package which provides standard linear algebra functions on domains in \\spad{MatrixCategory}")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|generalizedInverse| ((|#4| |#4|) "\\spad{generalizedInverse(m)} returns the generalized (Moore--Penrose) inverse of the matrix \\spad{m},{} \\spadignore{i.e.} the matrix \\spad{h} such that m*h*m=h,{} h*m*h=m,{} \\spad{m*h} and \\spad{h*m} are both symmetric matrices.")) (|determinant| ((|#1| |#4|) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. an error message is returned if the matrix is not square.")) (|nullSpace| (((|List| |#3|) |#4|) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) |#4|) "\\spad{nullity(m)} returns the mullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) |#4|) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}."))) NIL @@ -2071,7 +2071,7 @@ NIL (-535 R |mnRow| |mnCol|) ((|constructor| (NIL "An \\spad{IndexedMatrix} is a matrix where the minimal row and column indices are parameters of the type. The domains Row and Col are both IndexedVectors. The index of the 'first' row may be obtained by calling the function \\spadfun{minRowIndex}. The index of the 'first' column may be obtained by calling the function \\spadfun{minColIndex}. The index of the first element of a 'Row' is the same as the index of the first column in a matrix and vice versa."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-536) ((|constructor| (NIL "This domain represents an `import' of types.")) (|imports| (((|List| (|TypeAst|)) $) "\\spad{imports(x)} returns the list of imported types.")) (|coerce| (($ (|List| (|TypeAst|))) "ts::ImportAst constructs an ImportAst for the list if types `ts'."))) NIL @@ -2104,7 +2104,7 @@ NIL ((|constructor| (NIL "\\indented{2}{IndexedExponents of an ordered set of variables gives a representation} for the degree of polynomials in commuting variables. It gives an ordered pairing of non negative integer exponents with variables"))) NIL NIL -(-544 K -1963 |Par|) +(-544 K -2119 |Par|) ((|constructor| (NIL "This package is the inner package to be used by NumericRealEigenPackage and NumericComplexEigenPackage for the computation of numeric eigenvalues and eigenvectors.")) (|innerEigenvectors| (((|List| (|Record| (|:| |outval| |#2|) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| |#2|))))) (|Matrix| |#1|) |#3| (|Mapping| (|Factored| (|SparseUnivariatePolynomial| |#1|)) (|SparseUnivariatePolynomial| |#1|))) "\\spad{innerEigenvectors(m,eps,factor)} computes explicitly the eigenvalues and the correspondent eigenvectors of the matrix \\spad{m}. The parameter \\spad{eps} determines the type of the output,{} \\spad{factor} is the univariate factorizer to \\spad{br} used to reduce the characteristic polynomial into irreducible factors.")) (|solve1| (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{solve1(pol, eps)} finds the roots of the univariate polynomial polynomial \\spad{pol} to precision eps. If \\spad{K} is \\spad{Fraction Integer} then only the real roots are returned,{} if \\spad{K} is \\spad{Complex Fraction Integer} then all roots are found.")) (|charpol| (((|SparseUnivariatePolynomial| |#1|) (|Matrix| |#1|)) "\\spad{charpol(m)} computes the characteristic polynomial of a matrix \\spad{m} with entries in \\spad{K}. This function returns a polynomial over \\spad{K},{} while the general one (that is in EiegenPackage) returns Fraction \\spad{P} \\spad{K}"))) NIL NIL @@ -2128,7 +2128,7 @@ NIL ((|constructor| (NIL "This package computes infinite products of univariate Taylor series over an integral domain of characteristic 0.")) (|generalInfiniteProduct| ((|#2| |#2| (|Integer|) (|Integer|)) "\\spad{generalInfiniteProduct(f(x),a,d)} computes \\spad{product(n=a,a+d,a+2*d,...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|oddInfiniteProduct| ((|#2| |#2|) "\\spad{oddInfiniteProduct(f(x))} computes \\spad{product(n=1,3,5...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|evenInfiniteProduct| ((|#2| |#2|) "\\spad{evenInfiniteProduct(f(x))} computes \\spad{product(n=2,4,6...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1.")) (|infiniteProduct| ((|#2| |#2|) "\\spad{infiniteProduct(f(x))} computes \\spad{product(n=1,2,3...,f(x**n))}. The series \\spad{f(x)} should have constant coefficient 1."))) NIL NIL -(-550 K -1963 |Par|) +(-550 K -2119 |Par|) ((|constructor| (NIL "This is an internal package for computing approximate solutions to systems of polynomial equations. The parameter \\spad{K} specifies the coefficient field of the input polynomials and must be either \\spad{Fraction(Integer)} or \\spad{Complex(Fraction Integer)}. The parameter \\spad{F} specifies where the solutions must lie and can be one of the following: \\spad{Float},{} \\spad{Fraction(Integer)},{} \\spad{Complex(Float)},{} \\spad{Complex(Fraction Integer)}. The last parameter specifies the type of the precision operand and must be either \\spad{Fraction(Integer)} or \\spad{Float}.")) (|makeEq| (((|List| (|Equation| (|Polynomial| |#2|))) (|List| |#2|) (|List| (|Symbol|))) "\\spad{makeEq(lsol,lvar)} returns a list of equations formed by corresponding members of \\spad{lvar} and \\spad{lsol}.")) (|innerSolve| (((|List| (|List| |#2|)) (|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) |#3|) "\\spad{innerSolve(lnum,lden,lvar,eps)} returns a list of solutions of the system of polynomials \\spad{lnum},{} with the side condition that none of the members of \\spad{lden} vanish identically on any solution. Each solution is expressed as a list corresponding to the list of variables in \\spad{lvar} and with precision specified by \\spad{eps}.")) (|innerSolve1| (((|List| |#2|) (|Polynomial| |#1|) |#3|) "\\spad{innerSolve1(p,eps)} returns the list of the zeros of the polynomial \\spad{p} with precision \\spad{eps}.") (((|List| |#2|) (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{innerSolve1(up,eps)} returns the list of the zeros of the univariate polynomial \\spad{up} with precision \\spad{eps}."))) NIL NIL @@ -2179,12 +2179,12 @@ NIL (-562 |Key| |Entry| |addDom|) ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4439) (|devaluate| |#2|)))))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102)))) -(-563 R -1963) +((-12 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2905) (|devaluate| |#2|)))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102)))) +(-563 R -2119) ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f, x, y, d)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) NIL NIL -(-564 R0 -1963 UP UPUP R) +(-564 R0 -2119 UP UPUP R) ((|constructor| (NIL "This package provides functions for integrating a function on an algebraic curve.")) (|palginfieldint| (((|Union| |#5| "failed") |#5| (|Mapping| |#3| |#3|)) "\\spad{palginfieldint(f, d)} returns an algebraic function \\spad{g} such that \\spad{dg = f} if such a \\spad{g} exists,{} \"failed\" otherwise. Argument \\spad{f} must be a pure algebraic function.")) (|palgintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{palgintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}. Argument \\spad{f} must be a pure algebraic function.")) (|algintegrate| (((|IntegrationResult| |#5|) |#5| (|Mapping| |#3| |#3|)) "\\spad{algintegrate(f, d)} integrates \\spad{f} with respect to the derivation \\spad{d}."))) NIL NIL @@ -2194,7 +2194,7 @@ NIL NIL (-566 R) ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This category implements of interval arithmetic and transcendental + functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} \\spad{<=} \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise."))) -((-4165 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-2642 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-567 S) ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) @@ -2204,7 +2204,7 @@ NIL ((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found."))) ((-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL -(-569 R -1963) +(-569 R -2119) ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for elemntary functions.")) (|lfextlimint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) (|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{lfextlimint(f,x,k,[k1,...,kn])} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - c dk/dx}. Value \\spad{h} is looked for in a field containing \\spad{f} and \\spad{k1},{}...,{}\\spad{kn} (the \\spad{ki}\\spad{'s} must be logs).")) (|lfintegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{lfintegrate(f, x)} = \\spad{g} such that \\spad{dg/dx = f}.")) (|lfinfieldint| (((|Union| |#2| "failed") |#2| (|Symbol|)) "\\spad{lfinfieldint(f, x)} returns a function \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|lflimitedint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Symbol|) (|List| |#2|)) "\\spad{lflimitedint(f,x,[g1,...,gn])} returns functions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} and \\spad{d(h+sum(ci log(gi)))/dx = f},{} if possible,{} \"failed\" otherwise.")) (|lfextendedint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Symbol|) |#2|) "\\spad{lfextendedint(f, x, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f - cg},{} if (\\spad{h},{} \\spad{c}) exist,{} \"failed\" otherwise."))) NIL NIL @@ -2216,7 +2216,7 @@ NIL ((|constructor| (NIL "\\blankline")) (|entry| (((|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{entry(n)} \\undocumented{}")) (|entries| (((|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) $) "\\spad{entries(x)} \\undocumented{}")) (|showAttributes| (((|Union| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))) "failed") (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showAttributes(x)} \\undocumented{}")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|fTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |endPointContinuity| (|Union| (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (|Union| (|:| |str| (|Stream| (|DoubleFloat|))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| |range| (|Union| (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated")))))))) "\\spad{fTable(l)} creates a functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |var| (|Symbol|)) (|:| |fn| (|Expression| (|DoubleFloat|))) (|:| |range| (|Segment| (|OrderedCompletion| (|DoubleFloat|)))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(f)} returns the list of keys of \\spad{f}")) (|clearTheFTable| (((|Void|)) "\\spad{clearTheFTable()} clears the current table of functions.")) (|showTheFTable| (($) "\\spad{showTheFTable()} returns the current table of functions."))) NIL NIL -(-572 R -1963 L) +(-572 R -2119 L) ((|constructor| (NIL "This internal package rationalises integrands on curves of the form: \\indented{2}{\\spad{y\\^2 = a x\\^2 + b x + c}} \\indented{2}{\\spad{y\\^2 = (a x + b) / (c x + d)}} \\indented{2}{\\spad{f(x, y) = 0} where \\spad{f} has degree 1 in \\spad{x}} The rationalization is done for integration,{} limited integration,{} extended integration and the risch differential equation.")) (|palgLODE0| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgLODE0(op,g,x,y,z,t,c)} returns the solution of \\spad{op f = g} Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgLODE0(op, g, x, y, d, p)} returns the solution of \\spad{op f = g}. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|lift| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|SparseUnivariatePolynomial| |#2|) (|Kernel| |#2|)) "\\spad{lift(u,k)} \\undocumented")) (|multivariate| ((|#2| (|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) (|Kernel| |#2|) |#2|) "\\spad{multivariate(u,k,f)} \\undocumented")) (|univariate| (((|SparseUnivariatePolynomial| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|SparseUnivariatePolynomial| |#2|)) "\\spad{univariate(f,k,k,p)} \\undocumented")) (|palgRDE0| (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgRDE0(f, g, x, y, foo, t, c)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.") (((|Union| |#2| "failed") |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|)) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgRDE0(f, g, x, y, foo, d, p)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}. Argument \\spad{foo},{} called by \\spad{foo(a, b, x)},{} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}.")) (|palglimint0| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palglimint0(f, x, y, [u1,...,un], z, t, c)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}.") (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palglimint0(f, x, y, [u1,...,un], d, p)} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} and \"failed\" otherwise. Argument \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2y(x)\\^2 = P(x)}.")) (|palgextint0| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgextint0(f, x, y, g, z, t, c)} returns functions \\spad{[h, d]} such that \\spad{dh/dx = f(x,y) - d g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy},{} and \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}. The operation returns \"failed\" if no such functions exist.") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgextint0(f, x, y, g, d, p)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)},{} or \"failed\" if no such functions exist.")) (|palgint0| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|Fraction| (|SparseUnivariatePolynomial| |#2|))) "\\spad{palgint0(f, x, y, z, t, c)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{f(x,y)dx = c f(t,y) dy}; \\spad{c} and \\spad{t} are rational functions of \\spad{y}. Argument \\spad{z} is a dummy variable not appearing in \\spad{f(x,y)}.") (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) "\\spad{palgint0(f, x, y, d, p)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x} satisfying \\spad{d(x)\\^2 y(x)\\^2 = P(x)}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -668) (|devaluate| |#2|)))) @@ -2224,11 +2224,11 @@ NIL ((|constructor| (NIL "This package provides various number theoretic functions on the integers.")) (|sumOfKthPowerDivisors| (((|Integer|) (|Integer|) (|NonNegativeInteger|)) "\\spad{sumOfKthPowerDivisors(n,k)} returns the sum of the \\spad{k}th powers of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. the sum of the \\spad{k}th powers of the divisors of \\spad{n} is often denoted by \\spad{sigma_k(n)}.")) (|sumOfDivisors| (((|Integer|) (|Integer|)) "\\spad{sumOfDivisors(n)} returns the sum of the integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The sum of the divisors of \\spad{n} is often denoted by \\spad{sigma(n)}.")) (|numberOfDivisors| (((|Integer|) (|Integer|)) "\\spad{numberOfDivisors(n)} returns the number of integers between 1 and \\spad{n} (inclusive) which divide \\spad{n}. The number of divisors of \\spad{n} is often denoted by \\spad{tau(n)}.")) (|moebiusMu| (((|Integer|) (|Integer|)) "\\spad{moebiusMu(n)} returns the Moebius function \\spad{mu(n)}. \\spad{mu(n)} is either \\spad{-1},{}0 or 1 as follows: \\spad{mu(n) = 0} if \\spad{n} is divisible by a square > 1,{} \\spad{mu(n) = (-1)^k} if \\spad{n} is square-free and has \\spad{k} distinct prime divisors.")) (|legendre| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{legendre(a,p)} returns the Legendre symbol \\spad{L(a/p)}. \\spad{L(a/p) = (-1)**((p-1)/2) mod p} (\\spad{p} prime),{} which is 0 if \\spad{a} is 0,{} 1 if \\spad{a} is a quadratic residue \\spad{mod p} and \\spad{-1} otherwise. Note: because the primality test is expensive,{} if it is known that \\spad{p} is prime then use \\spad{jacobi(a,p)}.")) (|jacobi| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{jacobi(a,b)} returns the Jacobi symbol \\spad{J(a/b)}. When \\spad{b} is odd,{} \\spad{J(a/b) = product(L(a/p) for p in factor b )}. Note: by convention,{} 0 is returned if \\spad{gcd(a,b) ~= 1}. Iterative \\spad{O(log(b)^2)} version coded by Michael Monagan June 1987.")) (|harmonic| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{harmonic(n)} returns the \\spad{n}th harmonic number. This is \\spad{H[n] = sum(1/k,k=1..n)}.")) (|fibonacci| (((|Integer|) (|Integer|)) "\\spad{fibonacci(n)} returns the \\spad{n}th Fibonacci number. the Fibonacci numbers \\spad{F[n]} are defined by \\spad{F[0] = F[1] = 1} and \\spad{F[n] = F[n-1] + F[n-2]}. The algorithm has running time \\spad{O(log(n)^3)}. Reference: Knuth,{} The Art of Computer Programming Vol 2,{} Semi-Numerical Algorithms.")) (|eulerPhi| (((|Integer|) (|Integer|)) "\\spad{eulerPhi(n)} returns the number of integers between 1 and \\spad{n} (including 1) which are relatively prime to \\spad{n}. This is the Euler phi function \\spad{\\phi(n)} is also called the totient function.")) (|euler| (((|Integer|) (|Integer|)) "\\spad{euler(n)} returns the \\spad{n}th Euler number. This is \\spad{2^n E(n,1/2)},{} where \\spad{E(n,x)} is the \\spad{n}th Euler polynomial.")) (|divisors| (((|List| (|Integer|)) (|Integer|)) "\\spad{divisors(n)} returns a list of the divisors of \\spad{n}.")) (|chineseRemainder| (((|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{chineseRemainder(x1,m1,x2,m2)} returns \\spad{w},{} where \\spad{w} is such that \\spad{w = x1 mod m1} and \\spad{w = x2 mod m2}. Note: \\spad{m1} and \\spad{m2} must be relatively prime.")) (|bernoulli| (((|Fraction| (|Integer|)) (|Integer|)) "\\spad{bernoulli(n)} returns the \\spad{n}th Bernoulli number. this is \\spad{B(n,0)},{} where \\spad{B(n,x)} is the \\spad{n}th Bernoulli polynomial."))) NIL NIL -(-574 -1963 UP UPUP R) +(-574 -2119 UP UPUP R) ((|constructor| (NIL "algebraic Hermite redution.")) (|HermiteIntegrate| (((|Record| (|:| |answer| |#4|) (|:| |logpart| |#4|)) |#4| (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, ')} returns \\spad{[g,h]} such that \\spad{f = g' + h} and \\spad{h} has a only simple finite normal poles."))) NIL NIL -(-575 -1963 UP) +(-575 -2119 UP) ((|constructor| (NIL "Hermite integration,{} transcendental case.")) (|HermiteIntegrate| (((|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |logpart| (|Fraction| |#2|)) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{HermiteIntegrate(f, D)} returns \\spad{[g, h, s, p]} such that \\spad{f = Dg + h + s + p},{} \\spad{h} has a squarefree denominator normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. Furthermore,{} \\spad{h} and \\spad{s} have no polynomial parts. \\spad{D} is the derivation to use on \\spadtype{UP}."))) NIL NIL @@ -2240,15 +2240,15 @@ NIL ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|))) (|:| |extra| (|Result|))) (|NumericalIntegrationProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine for solving the numerical integration problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{NumericalIntegrationCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information.")) (|integrate| (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|Symbol|)) "\\spad{integrate(exp, x = a..b, numerical)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error if the last argument is not {\\spad{\\tt} numerical}.") (((|Union| (|Result|) "failed") (|Expression| (|Float|)) (|SegmentBinding| (|OrderedCompletion| (|Float|))) (|String|)) "\\spad{integrate(exp, x = a..b, \"numerical\")} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range,{} {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.\\newline \\blankline Default values for the absolute and relative error are used. \\blankline It is an error of the last argument is not {\\spad{\\tt} \"numerical\"}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel, routines)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy,{} using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsabs, epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|)))) (|Float|)) "\\spad{integrate(exp, [a..b,c..d,...], epsrel)} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|List| (|Segment| (|OrderedCompletion| (|Float|))))) "\\spad{integrate(exp, [a..b,c..d,...])} is a top level ANNA function to integrate a multivariate expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given set of ranges. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|)))) "\\spad{integrate(exp, a..b)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline Default values for the absolute and relative error are used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|)) "\\spad{integrate(exp, a..b, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}. \\blankline If epsrel = 0,{} a default absolute accuracy is used.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|)) "\\spad{integrate(exp, a..b, epsabs, epsrel)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|NumericalIntegrationProblem|)) "\\spad{integrate(IntegrationProblem)} is a top level ANNA function to integrate an expression over a given range or ranges to the required absolute and relative accuracy. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}.") (((|Result|) (|Expression| (|Float|)) (|Segment| (|OrderedCompletion| (|Float|))) (|Float|) (|Float|) (|RoutinesTable|)) "\\spad{integrate(exp, a..b, epsrel, routines)} is a top level ANNA function to integrate an expression,{} {\\spad{\\tt} \\spad{exp}},{} over a given range {\\spad{\\tt} a} to {\\spad{\\tt} \\spad{b}} to the required absolute and relative accuracy using the routines available in the RoutinesTable provided. \\blankline It iterates over the \\axiom{domains} of \\axiomType{NumericalIntegrationCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline It then performs the integration of the given expression on that \\axiom{domain}."))) NIL NIL -(-578 R -1963 L) +(-578 R -2119 L) ((|constructor| (NIL "This package provides functions for integration,{} limited integration,{} extended integration and the risch differential equation for pure algebraic integrands.")) (|palgLODE| (((|Record| (|:| |particular| (|Union| |#2| "failed")) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Symbol|)) "\\spad{palgLODE(op, g, kx, y, x)} returns the solution of \\spad{op f = g}. \\spad{y} is an algebraic function of \\spad{x}.")) (|palgRDE| (((|Union| |#2| "failed") |#2| |#2| |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|Union| |#2| "failed") |#2| |#2| (|Symbol|))) "\\spad{palgRDE(nfp, f, g, x, y, foo)} returns a function \\spad{z(x,y)} such that \\spad{dz/dx + n * df/dx z(x,y) = g(x,y)} if such a \\spad{z} exists,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}; \\spad{foo(a, b, x)} is a function that solves \\spad{du/dx + n * da/dx u(x) = u(x)} for an unknown \\spad{u(x)} not involving \\spad{y}. \\spad{nfp} is \\spad{n * df/dx}.")) (|palglimint| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|List| |#2|)) "\\spad{palglimint(f, x, y, [u1,...,un])} returns functions \\spad{[h,[[ci, ui]]]} such that the \\spad{ui}\\spad{'s} are among \\spad{[u1,...,un]} and \\spad{d(h + sum(ci log(ui)))/dx = f(x,y)} if such functions exist,{} \"failed\" otherwise; \\spad{y} is an algebraic function of \\spad{x}.")) (|palgextint| (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| (|Kernel| |#2|) (|Kernel| |#2|) |#2|) "\\spad{palgextint(f, x, y, g)} returns functions \\spad{[h, c]} such that \\spad{dh/dx = f(x,y) - c g},{} where \\spad{y} is an algebraic function of \\spad{x}; returns \"failed\" if no such functions exist.")) (|palgint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|)) "\\spad{palgint(f, x, y)} returns the integral of \\spad{f(x,y)dx} where \\spad{y} is an algebraic function of \\spad{x}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -668) (|devaluate| |#2|)))) -(-579 R -1963) +(-579 R -2119) ((|constructor| (NIL "\\spadtype{PatternMatchIntegration} provides functions that use the pattern matcher to find some indefinite and definite integrals involving special functions and found in the litterature.")) (|pmintegrate| (((|Union| |#2| "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{pmintegrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b} if it can be found by the built-in pattern matching rules.") (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}.")) (|pmComplexintegrate| (((|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|)) "\\spad{pmComplexintegrate(f, x)} returns either \"failed\" or \\spad{[g,h]} such that \\spad{integrate(f,x) = g + integrate(h,x)}. It only looks for special complex integrals that pmintegrate does not return.")) (|splitConstant| (((|Record| (|:| |const| |#2|) (|:| |nconst| |#2|)) |#2| (|Symbol|)) "\\spad{splitConstant(f, x)} returns \\spad{[c, g]} such that \\spad{f = c * g} and \\spad{c} does not involve \\spad{t}."))) NIL ((-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1160)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-641))))) -(-580 -1963 UP) +(-580 -2119 UP) ((|constructor| (NIL "This package provides functions for the base case of the Risch algorithm.")) (|limitedint| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|List| (|Fraction| |#2|))) "\\spad{limitedint(f, [g1,...,gn])} returns fractions \\spad{[h,[[ci, gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{ci' = 0},{} and \\spad{(h+sum(ci log(gi)))' = f},{} if possible,{} \"failed\" otherwise.")) (|extendedint| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{extendedint(f, g)} returns fractions \\spad{[h, c]} such that \\spad{c' = 0} and \\spad{h' = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|infieldint| (((|Union| (|Fraction| |#2|) "failed") (|Fraction| |#2|)) "\\spad{infieldint(f)} returns \\spad{g} such that \\spad{g' = f} or \"failed\" if the integral of \\spad{f} is not a rational function.")) (|integrate| (((|IntegrationResult| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{integrate(f)} returns \\spad{g} such that \\spad{g' = f}."))) NIL NIL @@ -2256,27 +2256,27 @@ NIL ((|constructor| (NIL "Provides integer testing and retraction functions. Date Created: March 1990 Date Last Updated: 9 April 1991")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer."))) NIL NIL -(-582 -1963) +(-582 -2119) ((|constructor| (NIL "This package provides functions for the integration of rational functions.")) (|extendedIntegrate| (((|Union| (|Record| (|:| |ratpart| (|Fraction| (|Polynomial| |#1|))) (|:| |coeff| (|Fraction| (|Polynomial| |#1|)))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|Fraction| (|Polynomial| |#1|))) "\\spad{extendedIntegrate(f, x, g)} returns fractions \\spad{[h, c]} such that \\spad{dc/dx = 0} and \\spad{dh/dx = f - cg},{} if \\spad{(h, c)} exist,{} \"failed\" otherwise.")) (|limitedIntegrate| (((|Union| (|Record| (|:| |mainpart| (|Fraction| (|Polynomial| |#1|))) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| (|Polynomial| |#1|))) (|:| |logand| (|Fraction| (|Polynomial| |#1|))))))) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|) (|List| (|Fraction| (|Polynomial| |#1|)))) "\\spad{limitedIntegrate(f, x, [g1,...,gn])} returns fractions \\spad{[h, [[ci,gi]]]} such that the \\spad{gi}\\spad{'s} are among \\spad{[g1,...,gn]},{} \\spad{dci/dx = 0},{} and \\spad{d(h + sum(ci log(gi)))/dx = f} if possible,{} \"failed\" otherwise.")) (|infieldIntegrate| (((|Union| (|Fraction| (|Polynomial| |#1|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{infieldIntegrate(f, x)} returns a fraction \\spad{g} such that \\spad{dg/dx = f} if \\spad{g} exists,{} \"failed\" otherwise.")) (|internalIntegrate| (((|IntegrationResult| (|Fraction| (|Polynomial| |#1|))) (|Fraction| (|Polynomial| |#1|)) (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns \\spad{g} such that \\spad{dg/dx = f}."))) NIL NIL (-583 R) ((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This domain is an implementation of interval arithmetic and transcendental + functions over intervals."))) -((-4165 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-2642 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-584) ((|constructor| (NIL "This package provides the implementation for the \\spadfun{solveLinearPolynomialEquation} operation over the integers. It uses a lifting technique from the package GenExEuclid")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| (|Integer|))) "failed") (|List| (|SparseUnivariatePolynomial| (|Integer|))) (|SparseUnivariatePolynomial| (|Integer|))) "\\spad{solveLinearPolynomialEquation([f1, ..., fn], g)} (where the \\spad{fi} are relatively prime to each other) returns a list of \\spad{ai} such that \\spad{g/prod fi = sum ai/fi} or returns \"failed\" if no such list of \\spad{ai}\\spad{'s} exists."))) NIL NIL -(-585 R -1963) +(-585 R -2119) ((|constructor| (NIL "\\indented{1}{Tools for the integrator} Author: Manuel Bronstein Date Created: 25 April 1990 Date Last Updated: 9 June 1993 Keywords: elementary,{} function,{} integration.")) (|intPatternMatch| (((|IntegrationResult| |#2|) |#2| (|Symbol|) (|Mapping| (|IntegrationResult| |#2|) |#2| (|Symbol|)) (|Mapping| (|Union| (|Record| (|:| |special| |#2|) (|:| |integrand| |#2|)) "failed") |#2| (|Symbol|))) "\\spad{intPatternMatch(f, x, int, pmint)} tries to integrate \\spad{f} first by using the integration function \\spad{int},{} and then by using the pattern match intetgration function \\spad{pmint} on any remaining unintegrable part.")) (|mkPrim| ((|#2| |#2| (|Symbol|)) "\\spad{mkPrim(f, x)} makes the logs in \\spad{f} which are linear in \\spad{x} primitive with respect to \\spad{x}.")) (|removeConstantTerm| ((|#2| |#2| (|Symbol|)) "\\spad{removeConstantTerm(f, x)} returns \\spad{f} minus any additive constant with respect to \\spad{x}.")) (|vark| (((|List| (|Kernel| |#2|)) (|List| |#2|) (|Symbol|)) "\\spad{vark([f1,...,fn],x)} returns the set-theoretic union of \\spad{(varselect(f1,x),...,varselect(fn,x))}.")) (|union| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|))) "\\spad{union(l1, l2)} returns set-theoretic union of \\spad{l1} and \\spad{l2}.")) (|ksec| (((|Kernel| |#2|) (|Kernel| |#2|) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{ksec(k, [k1,...,kn], x)} returns the second top-level \\spad{ki} after \\spad{k} involving \\spad{x}.")) (|kmax| (((|Kernel| |#2|) (|List| (|Kernel| |#2|))) "\\spad{kmax([k1,...,kn])} returns the top-level \\spad{ki} for integration.")) (|varselect| (((|List| (|Kernel| |#2|)) (|List| (|Kernel| |#2|)) (|Symbol|)) "\\spad{varselect([k1,...,kn], x)} returns the \\spad{ki} which involve \\spad{x}."))) NIL ((-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-294))) (|HasCategory| |#2| (QUOTE (-641))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-294)))) (|HasCategory| |#1| (QUOTE (-568)))) -(-586 -1963 UP) +(-586 -2119 UP) ((|constructor| (NIL "This package provides functions for the transcendental case of the Risch algorithm.")) (|monomialIntPoly| (((|Record| (|:| |answer| |#2|) (|:| |polypart| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{monomialIntPoly(p, ')} returns [\\spad{q},{} \\spad{r}] such that \\spad{p = q' + r} and \\spad{degree(r) < degree(t')}. Error if \\spad{degree(t') < 2}.")) (|monomialIntegrate| (((|Record| (|:| |ir| (|IntegrationResult| (|Fraction| |#2|))) (|:| |specpart| (|Fraction| |#2|)) (|:| |polypart| |#2|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomialIntegrate(f, ')} returns \\spad{[ir, s, p]} such that \\spad{f = ir' + s + p} and all the squarefree factors of the denominator of \\spad{s} are special \\spad{w}.\\spad{r}.\\spad{t} the derivation '.")) (|expintfldpoly| (((|Union| (|LaurentPolynomial| |#1| |#2|) "failed") (|LaurentPolynomial| |#1| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintfldpoly(p, foo)} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument foo is a Risch differential equation function on \\spad{F}.")) (|primintfldpoly| (((|Union| |#2| "failed") |#2| (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) |#1|) "\\spad{primintfldpoly(p, ', t')} returns \\spad{q} such that \\spad{p' = q} or \"failed\" if no such \\spad{q} exists. Argument \\spad{t'} is the derivative of the primitive generating the extension.")) (|primlimintfrac| (((|Union| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|)))))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|List| (|Fraction| |#2|))) "\\spad{primlimintfrac(f, ', [u1,...,un])} returns \\spad{[v, [c1,...,cn]]} such that \\spad{ci' = 0} and \\spad{f = v' + +/[ci * ui'/ui]}. Error: if \\spad{degree numer f >= degree denom f}.")) (|primextintfrac| (((|Union| (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Fraction| |#2|)) "\\spad{primextintfrac(f, ', g)} returns \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0}. Error: if \\spad{degree numer f >= degree denom f} or if \\spad{degree numer g >= degree denom g} or if \\spad{denom g} is not squarefree.")) (|explimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|List| (|Fraction| |#2|))) "\\spad{explimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primlimitedint| (((|Union| (|Record| (|:| |answer| (|Record| (|:| |mainpart| (|Fraction| |#2|)) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| (|Fraction| |#2|)) (|:| |logand| (|Fraction| |#2|))))))) (|:| |a0| |#1|)) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|List| (|Fraction| |#2|))) "\\spad{primlimitedint(f, ', foo, [u1,...,un])} returns \\spad{[v, [c1,...,cn], a]} such that \\spad{ci' = 0},{} \\spad{f = v' + a + reduce(+,[ci * ui'/ui])},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if no such \\spad{v},{} \\spad{ci},{} a exist. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|expextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|) (|Fraction| |#2|)) "\\spad{expextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is a Risch differential equation function on \\spad{F}.")) (|primextendedint| (((|Union| (|Record| (|:| |answer| (|Fraction| |#2|)) (|:| |a0| |#1|)) (|Record| (|:| |ratpart| (|Fraction| |#2|)) (|:| |coeff| (|Fraction| |#2|))) "failed") (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|) (|Fraction| |#2|)) "\\spad{primextendedint(f, ', foo, g)} returns either \\spad{[v, c]} such that \\spad{f = v' + c g} and \\spad{c' = 0},{} or \\spad{[v, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Returns \"failed\" if neither case can hold. Argument \\spad{foo} is an extended integration function on \\spad{F}.")) (|tanintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|List| |#1|) "failed") (|Integer|) |#1| |#1|)) "\\spad{tanintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential system solver on \\spad{F}.")) (|expintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Record| (|:| |ans| |#1|) (|:| |right| |#1|) (|:| |sol?| (|Boolean|))) (|Integer|) |#1|)) "\\spad{expintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in \\spad{F}; Argument foo is a Risch differential equation solver on \\spad{F}.")) (|primintegrate| (((|Record| (|:| |answer| (|IntegrationResult| (|Fraction| |#2|))) (|:| |a0| |#1|)) (|Fraction| |#2|) (|Mapping| |#2| |#2|) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed") |#1|)) "\\spad{primintegrate(f, ', foo)} returns \\spad{[g, a]} such that \\spad{f = g' + a},{} and \\spad{a = 0} or \\spad{a} has no integral in UP. Argument foo is an extended integration function on \\spad{F}."))) NIL NIL -(-587 R -1963) +(-587 R -2119) ((|constructor| (NIL "This package computes the inverse Laplace Transform.")) (|inverseLaplace| (((|Union| |#2| "failed") |#2| (|Symbol|) (|Symbol|)) "\\spad{inverseLaplace(f, s, t)} returns the Inverse Laplace transform of \\spad{f(s)} using \\spad{t} as the new variable or \"failed\" if unable to find a closed form."))) NIL NIL @@ -2308,11 +2308,11 @@ NIL ((|constructor| (NIL "A package to print strings without line-feed nor carriage-return.")) (|iprint| (((|Void|) (|String|)) "\\axiom{iprint(\\spad{s})} prints \\axiom{\\spad{s}} at the current position of the cursor."))) NIL NIL -(-595 R -1963) +(-595 R -2119) ((|constructor| (NIL "This package allows a sum of logs over the roots of a polynomial to be expressed as explicit logarithms and arc tangents,{} provided that the indexing polynomial can be factored into quadratics.")) (|complexExpand| ((|#2| (|IntegrationResult| |#2|)) "\\spad{complexExpand(i)} returns the expanded complex function corresponding to \\spad{i}.")) (|expand| (((|List| |#2|) (|IntegrationResult| |#2|)) "\\spad{expand(i)} returns the list of possible real functions corresponding to \\spad{i}.")) (|split| (((|IntegrationResult| |#2|) (|IntegrationResult| |#2|)) "\\spad{split(u(x) + sum_{P(a)=0} Q(a,x))} returns \\spad{u(x) + sum_{P1(a)=0} Q(a,x) + ... + sum_{Pn(a)=0} Q(a,x)} where \\spad{P1},{}...,{}\\spad{Pn} are the factors of \\spad{P}."))) NIL NIL -(-596 E -1963) +(-596 E -2119) ((|constructor| (NIL "\\indented{1}{Internally used by the integration packages} Author: Manuel Bronstein Date Created: 1987 Date Last Updated: 12 August 1992 Keywords: integration.")) (|map| (((|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |mainpart| |#1|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#1|) (|:| |logand| |#1|))))) "failed")) "\\spad{map(f,ufe)} \\undocumented") (((|Union| |#2| "failed") (|Mapping| |#2| |#1|) (|Union| |#1| "failed")) "\\spad{map(f,ue)} \\undocumented") (((|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") (|Mapping| |#2| |#1|) (|Union| (|Record| (|:| |ratpart| |#1|) (|:| |coeff| |#1|)) "failed")) "\\spad{map(f,ure)} \\undocumented") (((|IntegrationResult| |#2|) (|Mapping| |#2| |#1|) (|IntegrationResult| |#1|)) "\\spad{map(f,ire)} \\undocumented"))) NIL NIL @@ -2320,7 +2320,7 @@ NIL ((|constructor| (NIL "This domain provides representations for the intermediate form data structure used by the Spad elaborator.")) (|irDef| (($ (|Identifier|) (|InternalTypeForm|) $) "\\spad{irDef(f,ts,e)} returns an IR representation for a definition of a function named \\spad{f},{} with signature \\spad{ts} and body \\spad{e}.")) (|irCtor| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irCtor(n,t)} returns an IR for a constructor reference of type designated by the type form \\spad{t}")) (|irVar| (($ (|Identifier|) (|InternalTypeForm|)) "\\spad{irVar(x,t)} returns an IR for a variable reference of type designated by the type form \\spad{t}"))) NIL NIL -(-598 -1963) +(-598 -2119) ((|constructor| (NIL "If a function \\spad{f} has an elementary integral \\spad{g},{} then \\spad{g} can be written in the form \\spad{g = h + c1 log(u1) + c2 log(u2) + ... + cn log(un)} where \\spad{h},{} which is in the same field than \\spad{f},{} is called the rational part of the integral,{} and \\spad{c1 log(u1) + ... cn log(un)} is called the logarithmic part of the integral. This domain manipulates integrals represented in that form,{} by keeping both parts separately. The logs are not explicitly computed.")) (|differentiate| ((|#1| $ (|Symbol|)) "\\spad{differentiate(ir,x)} differentiates \\spad{ir} with respect to \\spad{x}") ((|#1| $ (|Mapping| |#1| |#1|)) "\\spad{differentiate(ir,D)} differentiates \\spad{ir} with respect to the derivation \\spad{D}.")) (|integral| (($ |#1| (|Symbol|)) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}") (($ |#1| |#1|) "\\spad{integral(f,x)} returns the formal integral of \\spad{f} with respect to \\spad{x}")) (|elem?| (((|Boolean|) $) "\\spad{elem?(ir)} tests if an integration result is elementary over \\spad{F?}")) (|notelem| (((|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|))) $) "\\spad{notelem(ir)} returns the non-elementary part of an integration result")) (|logpart| (((|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) $) "\\spad{logpart(ir)} returns the logarithmic part of an integration result")) (|ratpart| ((|#1| $) "\\spad{ratpart(ir)} returns the rational part of an integration result")) (|mkAnswer| (($ |#1| (|List| (|Record| (|:| |scalar| (|Fraction| (|Integer|))) (|:| |coeff| (|SparseUnivariatePolynomial| |#1|)) (|:| |logand| (|SparseUnivariatePolynomial| |#1|)))) (|List| (|Record| (|:| |integrand| |#1|) (|:| |intvar| |#1|)))) "\\spad{mkAnswer(r,l,ne)} creates an integration result from a rational part \\spad{r},{} a logarithmic part \\spad{l},{} and a non-elementary part \\spad{ne}."))) ((-4459 . T) (-4458 . T)) ((|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-1197))))) @@ -2351,7 +2351,7 @@ NIL (-605 |mn|) ((|constructor| (NIL "This domain implements low-level strings"))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2759 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-145) (QUOTE (-861))) (-2759 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) +((-3795 (-12 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-3795 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-145) (QUOTE (-861))) (-3795 (|HasCategory| (-145) (QUOTE (-102))) (|HasCategory| (-145) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-145) (QUOTE (-102))) (-12 (|HasCategory| (-145) (QUOTE (-1121))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-606 E V R P) ((|constructor| (NIL "tools for the summation packages.")) (|sum| (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2|) "\\spad{sum(p(n), n)} returns \\spad{P(n)},{} the indefinite sum of \\spad{p(n)} with respect to upward difference on \\spad{n},{} \\spadignore{i.e.} \\spad{P(n+1) - P(n) = a(n)}.") (((|Record| (|:| |num| |#4|) (|:| |den| (|Integer|))) |#4| |#2| (|Segment| |#4|)) "\\spad{sum(p(n), n = a..b)} returns \\spad{p(a) + p(a+1) + ... + p(b)}."))) NIL @@ -2359,7 +2359,7 @@ NIL (-607 |Coef|) ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,refer,var,cen,r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,g,taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,f)} returns the series \\spad{sum(fn(n) * an * x^n,n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|)))) (|HasCategory| (-576) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576)))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-576)) (|devaluate| |#1|)))) (|HasCategory| (-576) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4113) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576)))))) (-608 |Coef|) ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) (((-4466 "*") |has| |#1| (-568)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) @@ -2376,7 +2376,7 @@ NIL ((|constructor| (NIL "Functions defined on streams with entries in two sets.")) (|map| (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|Stream| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|Stream| |#3|) (|Mapping| |#3| |#1| |#2|) (|Stream| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented") (((|InfiniteTuple| |#3|) (|Mapping| |#3| |#1| |#2|) (|InfiniteTuple| |#1|) (|InfiniteTuple| |#2|)) "\\spad{map(f,a,b)} \\undocumented"))) NIL NIL -(-612 R -1963 FG) +(-612 R -2119 FG) ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and \\spad{FG} should be the same type of function space.")) (|trigs2explogs| ((|#3| |#3| (|List| (|Kernel| |#3|)) (|List| (|Symbol|))) "\\spad{trigs2explogs(f, [k1,...,kn], [x1,...,xm])} rewrites all the trigonometric functions appearing in \\spad{f} and involving one of the \\spad{xi's} in terms of complex logarithms and exponentials. A kernel of the form \\spad{tan(u)} is expressed using \\spad{exp(u)**2} if it is one of the \\spad{ki's},{} in terms of \\spad{exp(2*u)} otherwise.")) (|explogs2trigs| (((|Complex| |#2|) |#3|) "\\spad{explogs2trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (F2FG ((|#3| |#2|) "\\spad{F2FG(a + sqrt(-1) b)} returns \\spad{a + i b}.")) (FG2F ((|#2| |#3|) "\\spad{FG2F(a + i b)} returns \\spad{a + sqrt(-1) b}.")) (GF2FG ((|#3| (|Complex| |#2|)) "\\spad{GF2FG(a + i b)} returns \\spad{a + i b} viewed as a function with the \\spad{i} pushed down into the coefficient domain."))) NIL NIL @@ -2387,7 +2387,7 @@ NIL (-614 R |mn|) ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-615 S |Index| |Entry|) ((|constructor| (NIL "An indexed aggregate is a many-to-one mapping of indices to entries. For example,{} a one-dimensional-array is an indexed aggregate where the index is an integer. Also,{} a table is an indexed aggregate where the indices and entries may have any type.")) (|swap!| (((|Void|) $ |#2| |#2|) "\\spad{swap!(u,i,j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#3|) "\\spad{fill!(u,x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#3| $) "\\spad{first(u)} returns the first element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{first([\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]) = \\spad{x}}. Error: if \\spad{u} is empty.")) (|minIndex| ((|#2| $) "\\spad{minIndex(u)} returns the minimum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{minIndex(a) = reduce(min,{}[\\spad{i} for \\spad{i} in indices a])}; for lists,{} \\axiom{minIndex(a) = 1}.")) (|maxIndex| ((|#2| $) "\\spad{maxIndex(u)} returns the maximum index \\spad{i} of aggregate \\spad{u}. Note: in general,{} \\axiom{maxIndex(\\spad{u}) = reduce(max,{}[\\spad{i} for \\spad{i} in indices \\spad{u}])}; if \\spad{u} is a list,{} \\axiom{maxIndex(\\spad{u}) = \\#u}.")) (|entry?| (((|Boolean|) |#3| $) "\\spad{entry?(x,u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#2|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#2| $) "\\spad{index?(i,u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#3|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) NIL @@ -2406,12 +2406,12 @@ NIL NIL (-619 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) -((-4461 -2759 (-2674 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4459 . T) (-4458 . T)) -((-2759 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) +((-4461 -3795 (-2311 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4459 . T) (-4458 . T)) +((-3795 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-620 |Entry|) ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 |#1|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4439) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| (-1179) (QUOTE (-861))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 |#1|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 |#1|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 |#1|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -2905) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| (-1179) (QUOTE (-861))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 |#1|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 |#1|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 |#1|)) (QUOTE (-102)))) (-621 S |Key| |Entry|) ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}."))) NIL @@ -2436,7 +2436,7 @@ NIL ((|constructor| (NIL "A is convertible to \\spad{B} means any element of A can be converted into an element of \\spad{B},{} but not automatically by the interpreter.")) (|convert| ((|#1| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-627 -1963 UP) +(-627 -2119 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{\\$a_2 y'' + a_1 y' + a0 y = 0\\$}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{kovacic(a_0,a_1,a_2)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$e^{\\int(-a_1/2a_2)} e^{\\int u}\\$} is a solution of \\indented{5}{\\spad{a_2 y'' + a_1 y' + a0 y = 0}} whenever \\spad{u} is a solution of \\spad{P u = 0}. The equation must be already irreducible over the rational functions."))) NIL NIL @@ -2464,7 +2464,7 @@ NIL ((|constructor| (NIL "LocalAlgebra produces the localization of an algebra,{} \\spadignore{i.e.} fractions whose numerators come from some \\spad{R} algebra.")) (|denom| ((|#3| $) "\\spad{denom x} returns the denominator of \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer x} returns the numerator of \\spad{x}.")) (/ (($ |#1| |#3|) "\\spad{a / d} divides the element \\spad{a} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) ((-4458 . T) (-4459 . T) (-4461 . T)) ((|HasCategory| |#1| (QUOTE (-860)))) -(-634 R -1963) +(-634 R -2119) ((|constructor| (NIL "This package computes the forward Laplace Transform.")) (|laplace| ((|#2| |#2| (|Symbol|) (|Symbol|)) "\\spad{laplace(f, t, s)} returns the Laplace transform of \\spad{f(t)} using \\spad{s} as the new variable. This is \\spad{integral(exp(-s*t)*f(t), t = 0..\\%plusInfinity)}. Returns the formal object \\spad{laplace(f, t, s)} if it cannot compute the transform."))) NIL NIL @@ -2496,18 +2496,18 @@ NIL ((|constructor| (NIL "Category for the transcendental Liouvillian functions.")) (|erf| (($ $) "\\spad{erf(x)} returns the error function of \\spad{x},{} \\spadignore{i.e.} \\spad{2 / sqrt(\\%pi)} times the integral of \\spad{exp(-x**2) dx}.")) (|dilog| (($ $) "\\spad{dilog(x)} returns the dilogarithm of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{log(x) / (1 - x) dx}.")) (|li| (($ $) "\\spad{li(x)} returns the logarithmic integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{dx / log(x)}.")) (|Ci| (($ $) "\\spad{Ci(x)} returns the cosine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{cos(x) / x dx}.")) (|Si| (($ $) "\\spad{Si(x)} returns the sine integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{sin(x) / x dx}.")) (|Ei| (($ $) "\\spad{Ei(x)} returns the exponential integral of \\spad{x},{} \\spadignore{i.e.} the integral of \\spad{exp(x)/x dx}."))) NIL NIL -(-642 R -1963) +(-642 R -2119) ((|constructor| (NIL "This package provides liouvillian functions over an integral domain.")) (|integral| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{integral(f,x = a..b)} denotes the definite integral of \\spad{f} with respect to \\spad{x} from \\spad{a} to \\spad{b}.") ((|#2| |#2| (|Symbol|)) "\\spad{integral(f,x)} indefinite integral of \\spad{f} with respect to \\spad{x}.")) (|dilog| ((|#2| |#2|) "\\spad{dilog(f)} denotes the dilogarithm")) (|erf| ((|#2| |#2|) "\\spad{erf(f)} denotes the error function")) (|li| ((|#2| |#2|) "\\spad{li(f)} denotes the logarithmic integral")) (|Ci| ((|#2| |#2|) "\\spad{Ci(f)} denotes the cosine integral")) (|Si| ((|#2| |#2|) "\\spad{Si(f)} denotes the sine integral")) (|Ei| ((|#2| |#2|) "\\spad{Ei(f)} denotes the exponential integral")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns the Liouvillian operator based on \\spad{op}")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} checks if \\spad{op} is Liouvillian"))) NIL NIL -(-643 |lv| -1963) +(-643 |lv| -2119) ((|constructor| (NIL "\\indented{1}{Given a Groebner basis \\spad{B} with respect to the total degree ordering for} a zero-dimensional ideal \\spad{I},{} compute a Groebner basis with respect to the lexicographical ordering by using linear algebra.")) (|transform| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{transform }\\undocumented")) (|choosemon| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{choosemon }\\undocumented")) (|intcompBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{intcompBasis }\\undocumented")) (|anticoord| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|List| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{anticoord }\\undocumented")) (|coord| (((|Vector| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{coord }\\undocumented")) (|computeBasis| (((|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{computeBasis }\\undocumented")) (|minPol| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented") (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) (|OrderedVariableList| |#1|)) "\\spad{minPol }\\undocumented")) (|totolex| (((|List| (|DistributedMultivariatePolynomial| |#1| |#2|)) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{totolex }\\undocumented")) (|groebgen| (((|Record| (|:| |glbase| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |glval| (|List| (|Integer|)))) (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{groebgen }\\undocumented")) (|linGenPos| (((|Record| (|:| |gblist| (|List| (|DistributedMultivariatePolynomial| |#1| |#2|))) (|:| |gvlist| (|List| (|Integer|)))) (|List| (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|))) "\\spad{linGenPos }\\undocumented"))) NIL NIL (-644) ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) ((-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -4439) (QUOTE (-52))))))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1179) (QUOTE (-861))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (QUOTE (-1121)))) +((-12 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (QUOTE (-1179))) (LIST (QUOTE |:|) (QUOTE -2905) (QUOTE (-52))))))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1179) (QUOTE (-861))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (QUOTE (-1121)))) (-645 S R) ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#2|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) NIL @@ -2518,8 +2518,8 @@ NIL NIL (-647 R A) ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) -((-4461 -2759 (-2674 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4459 . T) (-4458 . T)) -((-2759 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) +((-4461 -3795 (-2311 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4459 . T) (-4458 . T)) +((-3795 (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (LIST (QUOTE -429) (|devaluate| |#1|))))) (|HasCategory| |#2| (LIST (QUOTE -378) (|devaluate| |#1|)))) (-648 R FE) ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),x = a)} computes the complex limit \\spad{lim(x -> a,f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),x=a,\"left\")} computes the left hand real limit \\spad{lim(x -> a-,f(x))}; \\spad{limit(f(x),x=a,\"right\")} computes the right hand real limit \\spad{lim(x -> a+,f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),x = a)} computes the real limit \\spad{lim(x -> a,f(x))}."))) NIL @@ -2531,7 +2531,7 @@ NIL (-650 S R) ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,...,vn])} returns \\spad{[c1,...,cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,...,vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) NIL -((-2663 (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-374)))) +((-2299 (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-374)))) (-651 R) ((|constructor| (NIL "An extension of left-module with an explicit linear dependence test.")) (|reducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| $) (|Vector| $)) "\\spad{reducedSystem(A, v)} returns a matrix \\spad{B} and a vector \\spad{w} such that \\spad{A x = v} and \\spad{B x = w} have the same solutions in \\spad{R}.") (((|Matrix| |#1|) (|Matrix| $)) "\\spad{reducedSystem(A)} returns a matrix \\spad{B} such that \\spad{A x = 0} and \\spad{B x = 0} have the same solutions in \\spad{R}.")) (|leftReducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Vector| $) $) "\\spad{reducedSystem([v1,...,vn],u)} returns a matrix \\spad{M} with coefficients in \\spad{R} and a vector \\spad{w} such that the system of equations \\spad{c1*v1 + ... + cn*vn = u} has the same solution as \\spad{c * M = w} where \\spad{c} is the row vector \\spad{[c1,...cn]}.") (((|Matrix| |#1|) (|Vector| $)) "\\spad{leftReducedSystem [v1,...,vn]} returns a matrix \\spad{M} with coefficients in \\spad{R} such that the system of equations \\spad{c1*v1 + ... + cn*vn = 0\\$\\%} has the same solution as \\spad{c * M = 0} where \\spad{c} is the row vector \\spad{[c1,...cn]}."))) NIL @@ -2555,7 +2555,7 @@ NIL (-656 S) ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#1| $) "\\spad{cons(element,u)} appends \\spad{element} onto the front of list \\spad{u} and returns the new list. This new list and the old one will share some structure.")) (|null| (((|Boolean|) $) "\\spad{null(u)} tests if list \\spad{u} is the empty list.")) (|nil| (($) "\\spad{nil} is the empty list."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-657 T$) ((|constructor| (NIL "This domain represents AST for Spad literals."))) NIL @@ -2567,7 +2567,7 @@ NIL (-659 S) ((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,y,d)} replace \\spad{x}\\spad{'s} with \\spad{y}\\spad{'s} in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-660 R) ((|constructor| (NIL "The category of left modules over an \\spad{rng} (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the \\spad{rng}. \\blankline"))) NIL @@ -2584,7 +2584,7 @@ NIL ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,i..j,x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,u,k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,u,i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,u,v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) NIL NIL -(-664 R -1963 L) +(-664 R -2119 L) ((|constructor| (NIL "\\spad{ElementaryFunctionLODESolver} provides the top-level functions for finding closed form solutions of linear ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#3| |#2| (|Symbol|) |#2| (|List| |#2|)) "\\spad{solve(op, g, x, a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{op y = g, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) "failed") |#3| |#2| (|Symbol|)) "\\spad{solve(op, g, x)} returns either a solution of the ordinary differential equation \\spad{op y = g} or \"failed\" if no non-trivial solution can be found; When found,{} the solution is returned in the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{op y = 0}. A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; \\spad{x} is the dependent variable."))) NIL NIL @@ -2604,11 +2604,11 @@ NIL ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperatorCategory} is the category of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}")) (|directSum| (($ $ $) "\\spad{directSum(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the sums of a solution of \\spad{a} by a solution of \\spad{b}.")) (|symmetricSquare| (($ $) "\\spad{symmetricSquare(a)} computes \\spad{symmetricProduct(a,a)} using a more efficient method.")) (|symmetricPower| (($ $ (|NonNegativeInteger|)) "\\spad{symmetricPower(a,n)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of \\spad{n} solutions of \\spad{a}.")) (|symmetricProduct| (($ $ $) "\\spad{symmetricProduct(a,b)} computes an operator \\spad{c} of minimal order such that the nullspace of \\spad{c} is generated by all the products of a solution of \\spad{a} by a solution of \\spad{b}.")) (|adjoint| (($ $) "\\spad{adjoint(a)} returns the adjoint operator of a.")) (D (($) "\\spad{D()} provides the operator corresponding to a derivation in the ring \\spad{A}."))) ((-4458 . T) (-4459 . T) (-4461 . T)) NIL -(-669 -1963 UP) +(-669 -2119 UP) ((|constructor| (NIL "\\spadtype{LinearOrdinaryDifferentialOperatorFactorizer} provides a factorizer for linear ordinary differential operators whose coefficients are rational functions.")) (|factor1| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor1(a)} returns the factorisation of a,{} assuming that a has no first-order right factor.")) (|factor| (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{factor(a)} returns the factorisation of a.") (((|List| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{factor(a, zeros)} returns the factorisation of a. \\spad{zeros} is a zero finder in \\spad{UP}."))) NIL ((|HasCategory| |#1| (QUOTE (-27)))) -(-670 A -4337) +(-670 A -2973) ((|constructor| (NIL "\\spad{LinearOrdinaryDifferentialOperator} defines a ring of differential operators with coefficients in a ring A with a given derivation. Multiplication of operators corresponds to functional composition: \\indented{4}{\\spad{(L1 * L2).(f) = L1 L2 f}}"))) ((-4458 . T) (-4459 . T) (-4461 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) @@ -2644,11 +2644,11 @@ NIL ((|constructor| (NIL "A list aggregate is a model for a linked list data structure. A linked list is a versatile data structure. Insertion and deletion are efficient and searching is a linear operation.")) (|list| (($ |#1|) "\\spad{list(x)} returns the list of one element \\spad{x}."))) ((-4465 . T) (-4464 . T)) NIL -(-679 -1963) +(-679 -2119) ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) NIL NIL -(-680 -1963 |Row| |Col| M) +(-680 -2119 |Row| |Col| M) ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}.")) (|rank| (((|NonNegativeInteger|) |#4| |#3|) "\\spad{rank(A,B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) |#4| |#3|) "\\spad{hasSolution?(A,B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| |#3| "failed") |#4| |#3|) "\\spad{particularSolution(A,B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|)))) |#4| (|List| |#3|)) "\\spad{solve(A,LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{solve(A,B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) NIL NIL @@ -2659,7 +2659,7 @@ NIL (-682 |n| R) ((|constructor| (NIL "LieSquareMatrix(\\spad{n},{}\\spad{R}) implements the Lie algebra of the \\spad{n} by \\spad{n} matrices over the commutative ring \\spad{R}. The Lie bracket (commutator) of the algebra is given by \\spad{a*b := (a *\\$SQMATRIX(n,R) b - b *\\$SQMATRIX(n,R) a)},{} where \\spadfun{*\\$SQMATRIX(\\spad{n},{}\\spad{R})} is the usual matrix multiplication."))) ((-4461 . T) (-4464 . T) (-4458 . T) (-4459 . T)) -((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-2759 (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-3795 (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-683) ((|constructor| (NIL "This domain represents `literal sequence' syntax.")) (|elements| (((|List| (|SpadAst|)) $) "\\spad{elements(e)} returns the list of expressions in the `literal' list `e'."))) NIL @@ -2679,7 +2679,7 @@ NIL (-687 R) ((|constructor| (NIL "This domain represents three dimensional matrices over a general object type")) (|matrixDimensions| (((|Vector| (|NonNegativeInteger|)) $) "\\spad{matrixDimensions(x)} returns the dimensions of a matrix")) (|matrixConcat3D| (($ (|Symbol|) $ $) "\\spad{matrixConcat3D(s,x,y)} concatenates two 3-\\spad{D} matrices along a specified axis")) (|coerce| (((|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|))) $) "\\spad{coerce(x)} moves from the domain to the representation type") (($ (|PrimitiveArray| (|PrimitiveArray| (|PrimitiveArray| |#1|)))) "\\spad{coerce(p)} moves from the representation type (PrimitiveArray PrimitiveArray PrimitiveArray \\spad{R}) to the domain")) (|setelt!| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{setelt!(x,i,j,k,s)} (or \\spad{x}.\\spad{i}.\\spad{j}.k:=s) sets a specific element of the array to some value of type \\spad{R}")) (|elt| ((|#1| $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{elt(x,i,j,k)} extract an element from the matrix \\spad{x}")) (|construct| (($ (|List| (|List| (|List| |#1|)))) "\\spad{construct(lll)} creates a 3-\\spad{D} matrix from a List List List \\spad{R} \\spad{lll}")) (|plus| (($ $ $) "\\spad{plus(x,y)} adds two matrices,{} term by term we note that they must be the same size")) (|identityMatrix| (($ (|NonNegativeInteger|)) "\\spad{identityMatrix(n)} create an identity matrix we note that this must be square")) (|zeroMatrix| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zeroMatrix(i,j,k)} create a matrix with all zero terms"))) NIL -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (QUOTE (-1070))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-688) ((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition \\spad{`m'}.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition \\spad{`m'}. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any."))) NIL @@ -2735,7 +2735,7 @@ NIL (-701 R) ((|constructor| (NIL "\\spadtype{Matrix} is a matrix domain where 1-based indexing is used for both rows and columns.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m}. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|diagonalMatrix| (($ (|Vector| |#1|)) "\\spad{diagonalMatrix(v)} returns a diagonal matrix where the elements of \\spad{v} appear on the diagonal."))) ((-4464 . T) (-4465 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4466 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-702 R) ((|constructor| (NIL "This package provides standard arithmetic operations on matrices. The functions in this package store the results of computations in existing matrices,{} rather than creating new matrices. This package works only for matrices of type Matrix and uses the internal representation of this type.")) (** (((|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{x ** n} computes the \\spad{n}-th power of a square matrix. The power \\spad{n} is assumed greater than 1.")) (|power!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|NonNegativeInteger|)) "\\spad{power!(a,b,c,m,n)} computes \\spad{m} \\spad{**} \\spad{n} and stores the result in \\spad{a}. The matrices \\spad{b} and \\spad{c} are used to store intermediate results. Error: if \\spad{a},{} \\spad{b},{} \\spad{c},{} and \\spad{m} are not square and of the same dimensions.")) (|times!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{times!(c,a,b)} computes the matrix product \\spad{a * b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have compatible dimensions.")) (|rightScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rightScalarTimes!(c,a,r)} computes the scalar product \\spad{a * r} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|leftScalarTimes!| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| (|Matrix| |#1|)) "\\spad{leftScalarTimes!(c,r,a)} computes the scalar product \\spad{r * a} and stores the result in the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions.")) (|minus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{!minus!(c,a,b)} computes the matrix difference \\spad{a - b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.") (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{minus!(c,a)} computes \\spad{-a} and stores the result in the matrix \\spad{c}. Error: if a and \\spad{c} do not have the same dimensions.")) (|plus!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{plus!(c,a,b)} computes the matrix sum \\spad{a + b} and stores the result in the matrix \\spad{c}. Error: if \\spad{a},{} \\spad{b},{} and \\spad{c} do not have the same dimensions.")) (|copy!| (((|Matrix| |#1|) (|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{copy!(c,a)} copies the matrix \\spad{a} into the matrix \\spad{c}. Error: if \\spad{a} and \\spad{c} do not have the same dimensions."))) NIL @@ -2744,7 +2744,7 @@ NIL ((|constructor| (NIL "This domain implements the notion of optional value,{} where a computation may fail to produce expected value.")) (|nothing| (($) "\\spad{nothing} represents failure or absence of value.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that \\spad{`x'} really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value \\spad{`x'} into \\%."))) NIL NIL -(-704 S -1963 FLAF FLAS) +(-704 S -2119 FLAF FLAS) ((|constructor| (NIL "\\indented{1}{\\spadtype{MultiVariableCalculusFunctions} Package provides several} \\indented{1}{functions for multivariable calculus.} These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,xlist,kl,ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} kl+ku+1 being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions kl+ku+1 by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row ku+1,{} the lower triangle in the last \\spad{kl} rows. Entries in a column in the band store correspond to entries in same column of full store. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|jacobian| (((|Matrix| |#2|) |#3| |#4|) "\\spad{jacobian(vf,xlist)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|bandedHessian| (((|Matrix| |#2|) |#2| |#4| (|NonNegativeInteger|)) "\\spad{bandedHessian(v,xlist,k)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist},{} \\spad{k} is the semi-bandwidth,{} the number of nonzero subdiagonals,{} 2*k+1 being actual bandwidth. Stores the nonzero band in lower triangle in a matrix,{} dimensions \\spad{k+1} by \\#xlist,{} whose rows are the vectors formed by diagonal,{} subdiagonal,{} etc. of the real,{} full-matrix,{} hessian. (The notation conforms to LAPACK/NAG-\\spad{F07} conventions.)")) (|hessian| (((|Matrix| |#2|) |#2| |#4|) "\\spad{hessian(v,xlist)} computes the hessian,{} the matrix of second partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|laplacian| ((|#2| |#2| |#4|) "\\spad{laplacian(v,xlist)} computes the laplacian of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}.")) (|divergence| ((|#2| |#3| |#4|) "\\spad{divergence(vf,xlist)} computes the divergence of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist}.")) (|gradient| (((|Vector| |#2|) |#2| |#4|) "\\spad{gradient(v,xlist)} computes the gradient,{} the vector of first partial derivatives,{} of the scalar field \\spad{v},{} \\spad{v} a function of the variables listed in \\spad{xlist}."))) NIL NIL @@ -2754,8 +2754,8 @@ NIL NIL (-706) ((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex"))) -((-4457 . T) (-4462 |has| (-711) (-374)) (-4456 |has| (-711) (-374)) (-4177 . T) (-4463 |has| (-711) (-6 -4463)) (-4460 |has| (-711) (-6 -4460)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-711) (QUOTE (-148))) (|HasCategory| (-711) (QUOTE (-146))) (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-379))) (|HasCategory| (-711) (QUOTE (-374))) (-2759 (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-237))) (-2759 (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197))))) (-2759 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (LIST (QUOTE -296) (QUOTE (-711)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -319) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-2759 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-711) (QUOTE (-1043))) (|HasCategory| (-711) (QUOTE (-1223))) (-12 (|HasCategory| (-711) (QUOTE (-1023))) (|HasCategory| (-711) (QUOTE (-1223)))) (-2759 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (-2759 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (|HasCategory| (-711) (QUOTE (-557))) (-12 (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-1223)))) (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928))) (-2759 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374)))) (-2759 (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (QUOTE (-237)))) (-2759 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-568)))) (-12 (|HasCategory| (-711) (QUOTE (-237))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-568))) (|HasAttribute| (-711) (QUOTE -4463)) (|HasAttribute| (-711) (QUOTE -4460)) (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-146)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-360))))) +((-4457 . T) (-4462 |has| (-711) (-374)) (-4456 |has| (-711) (-374)) (-2649 . T) (-4463 |has| (-711) (-6 -4463)) (-4460 |has| (-711) (-6 -4460)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((|HasCategory| (-711) (QUOTE (-148))) (|HasCategory| (-711) (QUOTE (-146))) (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-379))) (|HasCategory| (-711) (QUOTE (-374))) (-3795 (|HasCategory| (-711) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-237))) (-3795 (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197))))) (-3795 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (LIST (QUOTE -296) (QUOTE (-711)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -319) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-711)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-711) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-711) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (-3795 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-360)))) (|HasCategory| (-711) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-711) (QUOTE (-1043))) (|HasCategory| (-711) (QUOTE (-1223))) (-12 (|HasCategory| (-711) (QUOTE (-1023))) (|HasCategory| (-711) (QUOTE (-1223)))) (-3795 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (-3795 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-374))) (|HasCategory| (-711) (QUOTE (-928)))) (-12 (|HasCategory| (-711) (QUOTE (-360))) (|HasCategory| (-711) (QUOTE (-928))))) (|HasCategory| (-711) (QUOTE (-557))) (-12 (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-1223)))) (|HasCategory| (-711) (QUOTE (-1081))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928))) (-3795 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-374)))) (-3795 (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (QUOTE (-237)))) (-3795 (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-568)))) (-12 (|HasCategory| (-711) (QUOTE (-237))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (QUOTE (-238))) (|HasCategory| (-711) (QUOTE (-374)))) (-12 (|HasCategory| (-711) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-711) (QUOTE (-374)))) (|HasCategory| (-711) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-711) (QUOTE (-568))) (|HasAttribute| (-711) (QUOTE -4463)) (|HasAttribute| (-711) (QUOTE -4460)) (-12 (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (LIST (QUOTE -919) (QUOTE (-1197)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-146)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-711) (QUOTE (-317))) (|HasCategory| (-711) (QUOTE (-928)))) (|HasCategory| (-711) (QUOTE (-360))))) (-707 S) ((|constructor| (NIL "A multi-dictionary is a dictionary which may contain duplicates. As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,d,n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}."))) ((-4465 . T)) @@ -2768,13 +2768,13 @@ NIL ((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: \\spad{??} Date Last Updated: October 1991 by Jon Steinbach Keywords: Examples: References:")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,b,c,d)} is an internal function exported in order to compile packages.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,t,u,f,s1,l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,g,s1,s2,l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,g,h,j,s1,s2,l)} \\undocumented"))) NIL NIL -(-710 OV E -1963 PG) +(-710 OV E -2119 PG) ((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field."))) NIL NIL (-711) ((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,man,base)} \\undocumented{}")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}"))) -((-4165 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) +((-2642 . T) (-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-712 R) ((|constructor| (NIL "\\indented{1}{Modular hermitian row reduction.} Author: Manuel Bronstein Date Created: 22 February 1989 Date Last Updated: 24 November 1993 Keywords: matrix,{} reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m, d, p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m, d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus."))) @@ -2800,7 +2800,7 @@ NIL ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) NIL NIL -(-718 S -2020 I) +(-718 S -3157 I) ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr, x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) NIL NIL @@ -2820,14 +2820,14 @@ NIL ((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format."))) NIL NIL -(-723 R |Mod| -1892 -2185 |exactQuo|) +(-723 R |Mod| -3381 -3046 |exactQuo|) ((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-724 R |Rep|) ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\spad{frobenius(x)} \\undocumented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} \\undocumented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} \\undocumented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} \\undocumented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} \\undocumented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} \\undocumented")) (|lift| ((|#2| $) "\\spad{lift(x)} \\undocumented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} \\undocumented")) (|modulus| ((|#2|) "\\spad{modulus()} \\undocumented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} \\undocumented"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) (-725 IS E |ff|) ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) NIL @@ -2836,7 +2836,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f, u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4459 |has| |#1| (-174)) (-4458 |has| |#1| (-174)) (-4461 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) -(-727 R |Mod| -1892 -2185 |exactQuo|) +(-727 R |Mod| -3381 -3046 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\spad{inv(x)} \\undocumented")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} \\undocumented")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented"))) ((-4461 . T)) NIL @@ -2848,7 +2848,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4459 . T) (-4458 . T)) NIL -(-730 -1963) +(-730 -2119) ((|constructor| (NIL "\\indented{1}{MoebiusTransform(\\spad{F}) is the domain of fractional linear (Moebius)} transformations over \\spad{F}.")) (|eval| (((|OnePointCompletion| |#1|) $ (|OnePointCompletion| |#1|)) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).") ((|#1| $ |#1|) "\\spad{eval(m,x)} returns \\spad{(a*x + b)/(c*x + d)} where \\spad{m = moebius(a,b,c,d)} (see \\spadfunFrom{moebius}{MoebiusTransform}).")) (|recip| (($ $) "\\spad{recip(m)} = recip() * \\spad{m}") (($) "\\spad{recip()} returns \\spad{matrix [[0,1],[1,0]]} representing the map \\spad{x -> 1 / x}.")) (|scale| (($ $ |#1|) "\\spad{scale(m,h)} returns \\spad{scale(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{scale(k)} returns \\spad{matrix [[k,0],[0,1]]} representing the map \\spad{x -> k * x}.")) (|shift| (($ $ |#1|) "\\spad{shift(m,h)} returns \\spad{shift(h) * m} (see \\spadfunFrom{shift}{MoebiusTransform}).") (($ |#1|) "\\spad{shift(k)} returns \\spad{matrix [[1,k],[0,1]]} representing the map \\spad{x -> x + k}.")) (|moebius| (($ |#1| |#1| |#1| |#1|) "\\spad{moebius(a,b,c,d)} returns \\spad{matrix [[a,b],[c,d]]}."))) ((-4461 . T)) NIL @@ -2884,7 +2884,7 @@ NIL ((|constructor| (NIL "The class of multiplicative monoids,{} \\spadignore{i.e.} semigroups with a multiplicative identity element. \\blankline")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} tries to compute the multiplicative inverse for \\spad{x} or \"failed\" if it cannot find the inverse (see unitsKnown).")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns the repeated product of \\spad{x} \\spad{n} times,{} \\spadignore{i.e.} exponentiation.")) (|one?| (((|Boolean|) $) "\\spad{one?(x)} tests if \\spad{x} is equal to 1.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) ((|One|) (($) "1 is the multiplicative identity."))) NIL NIL -(-739 -1963 UP) +(-739 -2119 UP) ((|constructor| (NIL "Tools for handling monomial extensions.")) (|decompose| (((|Record| (|:| |poly| |#2|) (|:| |normal| (|Fraction| |#2|)) (|:| |special| (|Fraction| |#2|))) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{decompose(f, D)} returns \\spad{[p,n,s]} such that \\spad{f = p+n+s},{} all the squarefree factors of \\spad{denom(n)} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} \\spad{denom(s)} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{n} and \\spad{s} are proper fractions (no pole at infinity). \\spad{D} is the derivation to use.")) (|normalDenom| ((|#2| (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{normalDenom(f, D)} returns the product of all the normal factors of \\spad{denom(f)}. \\spad{D} is the derivation to use.")) (|splitSquarefree| (((|Record| (|:| |normal| (|Factored| |#2|)) (|:| |special| (|Factored| |#2|))) |#2| (|Mapping| |#2| |#2|)) "\\spad{splitSquarefree(p, D)} returns \\spad{[n_1 n_2\\^2 ... n_m\\^m, s_1 s_2\\^2 ... s_q\\^q]} such that \\spad{p = n_1 n_2\\^2 ... n_m\\^m s_1 s_2\\^2 ... s_q\\^q},{} each \\spad{n_i} is normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D} and each \\spad{s_i} is special \\spad{w}.\\spad{r}.\\spad{t} \\spad{D}. \\spad{D} is the derivation to use.")) (|split| (((|Record| (|:| |normal| |#2|) (|:| |special| |#2|)) |#2| (|Mapping| |#2| |#2|)) "\\spad{split(p, D)} returns \\spad{[n,s]} such that \\spad{p = n s},{} all the squarefree factors of \\spad{n} are normal \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D},{} and \\spad{s} is special \\spad{w}.\\spad{r}.\\spad{t}. \\spad{D}. \\spad{D} is the derivation to use."))) NIL NIL @@ -2903,7 +2903,7 @@ NIL (-743 |vl| R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are from a user specified list of symbols. The ordering is specified by the position of the variable in the list. The coefficient ring may be non commutative,{} but the variables are assumed to commute."))) (((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#2| (QUOTE (-928))) (-2759 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2759 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-928))) (-3795 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-3795 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-878 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) (-744 E OV R PRF) ((|constructor| (NIL "\\indented{3}{This package exports a factor operation for multivariate polynomials} with coefficients which are rational functions over some ring \\spad{R} over which we can factor. It is used internally by packages such as primary decomposition which need to work with polynomials with rational function coefficients,{} \\spadignore{i.e.} themselves fractions of polynomials.")) (|factor| (((|Factored| |#4|) |#4|) "\\spad{factor(prf)} factors a polynomial with rational function coefficients.")) (|pushuconst| ((|#4| (|Fraction| (|Polynomial| |#3|)) |#2|) "\\spad{pushuconst(r,var)} takes a rational function and raises all occurances of the variable \\spad{var} to the polynomial level.")) (|pushucoef| ((|#4| (|SparseUnivariatePolynomial| (|Polynomial| |#3|)) |#2|) "\\spad{pushucoef(upoly,var)} converts the anonymous univariate polynomial \\spad{upoly} to a polynomial in \\spad{var} over rational functions.")) (|pushup| ((|#4| |#4| |#2|) "\\spad{pushup(prf,var)} raises all occurences of the variable \\spad{var} in the coefficients of the polynomial \\spad{prf} back to the polynomial level.")) (|pushdterm| ((|#4| (|SparseUnivariatePolynomial| |#4|) |#2|) "\\spad{pushdterm(monom,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the monomial \\spad{monom}.")) (|pushdown| ((|#4| |#4| |#2|) "\\spad{pushdown(prf,var)} pushes all top level occurences of the variable \\spad{var} into the coefficient domain for the polynomial \\spad{prf}.")) (|totalfract| (((|Record| (|:| |sup| (|Polynomial| |#3|)) (|:| |inf| (|Polynomial| |#3|))) |#4|) "\\spad{totalfract(prf)} takes a polynomial whose coefficients are themselves fractions of polynomials and returns a record containing the numerator and denominator resulting from putting \\spad{prf} over a common denominator.")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) NIL @@ -3036,11 +3036,11 @@ NIL ((|constructor| (NIL "This package computes explicitly eigenvalues and eigenvectors of matrices with entries over the complex rational numbers. The results are expressed either as complex floating numbers or as complex rational numbers depending on the type of the precision parameter.")) (|complexEigenvectors| (((|List| (|Record| (|:| |outval| (|Complex| |#1|)) (|:| |outmult| (|Integer|)) (|:| |outvect| (|List| (|Matrix| (|Complex| |#1|)))))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvectors(m,eps)} returns a list of records each one containing a complex eigenvalue,{} its algebraic multiplicity,{} and a list of associated eigenvectors. All these results are computed to precision \\spad{eps} and are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|complexEigenvalues| (((|List| (|Complex| |#1|)) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) |#1|) "\\spad{complexEigenvalues(m,eps)} computes the eigenvalues of the matrix \\spad{m} to precision \\spad{eps}. The eigenvalues are expressed as complex floats or complex rational numbers depending on the type of \\spad{eps} (float or rational).")) (|characteristicPolynomial| (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|)))) (|Symbol|)) "\\spad{characteristicPolynomial(m,x)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over Complex Rationals with variable \\spad{x}.") (((|Polynomial| (|Complex| (|Fraction| (|Integer|)))) (|Matrix| (|Complex| (|Fraction| (|Integer|))))) "\\spad{characteristicPolynomial(m)} returns the characteristic polynomial of the matrix \\spad{m} expressed as polynomial over complex rationals with a new symbol as variable."))) NIL NIL -(-777 -1963) +(-777 -2119) ((|constructor| (NIL "\\spadtype{NumericContinuedFraction} provides functions \\indented{2}{for converting floating point numbers to continued fractions.}")) (|continuedFraction| (((|ContinuedFraction| (|Integer|)) |#1|) "\\spad{continuedFraction(f)} converts the floating point number \\spad{f} to a reduced continued fraction."))) NIL NIL -(-778 P -1963) +(-778 P -2119) ((|constructor| (NIL "This package provides a division and related operations for \\spadtype{MonogenicLinearOperator}\\spad{s} over a \\spadtype{Field}. Since the multiplication is in general non-commutative,{} these operations all have left- and right-hand versions. This package provides the operations based on left-division.")) (|leftLcm| ((|#1| |#1| |#1|) "\\spad{leftLcm(a,b)} computes the value \\spad{m} of lowest degree such that \\spad{m = a*aa = b*bb} for some values \\spad{aa} and \\spad{bb}. The value \\spad{m} is computed using left-division.")) (|leftGcd| ((|#1| |#1| |#1|) "\\spad{leftGcd(a,b)} computes the value \\spad{g} of highest degree such that \\indented{3}{\\spad{a = aa*g}} \\indented{3}{\\spad{b = bb*g}} for some values \\spad{aa} and \\spad{bb}. The value \\spad{g} is computed using left-division.")) (|leftExactQuotient| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftExactQuotient(a,b)} computes the value \\spad{q},{} if it exists,{} \\indented{1}{such that \\spad{a = b*q}.}")) (|leftRemainder| ((|#1| |#1| |#1|) "\\spad{leftRemainder(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{r} is returned.")) (|leftQuotient| ((|#1| |#1| |#1|) "\\spad{leftQuotient(a,b)} computes the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. The value \\spad{q} is returned.")) (|leftDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{leftDivide(a,b)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}."))) NIL NIL @@ -3048,7 +3048,7 @@ NIL NIL NIL NIL -(-780 UP -1963) +(-780 UP -2119) ((|constructor| (NIL "In this package \\spad{F} is a framed algebra over the integers (typically \\spad{F = Z[a]} for some algebraic integer a). The package provides functions to compute the integral closure of \\spad{Z} in the quotient quotient field of \\spad{F}.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|)))) (|Integer|)) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{Z} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| (|Integer|))) (|:| |basisDen| (|Integer|)) (|:| |basisInv| (|Matrix| (|Integer|))))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{Z} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{Z}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|discriminant| (((|Integer|)) "\\spad{discriminant()} returns the discriminant of the integral closure of \\spad{Z} in the quotient field of the framed algebra \\spad{F}."))) NIL NIL @@ -3064,7 +3064,7 @@ NIL ((|constructor| (NIL "\\spadtype{NonNegativeInteger} provides functions for non \\indented{2}{negative integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : \\spad{x*y = y*x}.")) (|random| (($ $) "\\spad{random(n)} returns a random integer from 0 to \\spad{n-1}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(a,i)} shift \\spad{a} by \\spad{i} bits.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} returns the quotient of \\spad{a} and \\spad{b},{} or \"failed\" if \\spad{b} is zero or \\spad{a} rem \\spad{b} is zero.")) (|divide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\spad{divide(a,b)} returns a record containing both remainder and quotient.")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two non negative integers \\spad{a} and \\spad{b}.")) (|rem| (($ $ $) "\\spad{a rem b} returns the remainder of \\spad{a} and \\spad{b}.")) (|quo| (($ $ $) "\\spad{a quo b} returns the quotient of \\spad{a} and \\spad{b},{} forgetting the remainder."))) (((-4466 "*") . T)) NIL -(-784 R -1963) +(-784 R -2119) ((|constructor| (NIL "NonLinearFirstOrderODESolver provides a function for finding closed form first integrals of nonlinear ordinary differential equations of order 1.")) (|solve| (((|Union| |#2| "failed") |#2| |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(M(x,y), N(x,y), y, x)} returns \\spad{F(x,y)} such that \\spad{F(x,y) = c} for a constant \\spad{c} is a first integral of the equation \\spad{M(x,y) dx + N(x,y) dy = 0},{} or \"failed\" if no first-integral can be found."))) NIL NIL @@ -3084,7 +3084,7 @@ NIL ((|constructor| (NIL "A package for computing normalized assocites of univariate polynomials with coefficients in a tower of simple extensions of a field.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991} \\indented{1}{[2] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"Calculs de pgcd au-dessus des tours} \\indented{5}{d'extensions simples et resolution des systemes d'equations} \\indented{5}{algebriques\" These,{} Universite \\spad{P}.etM. Curie,{} Paris,{} 1997.}")) (|normInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normInvertible?(\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}\\spad{ts})} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}\\spad{ts})} returns a normalized polynomial \\axiom{\\spad{n}} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts} such that \\axiom{\\spad{n}} and \\axiom{\\spad{p}} are associates \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} and assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|recip| (((|Record| (|:| |num| |#4|) (|:| |den| |#4|)) |#4| |#5|) "\\axiom{recip(\\spad{p},{}\\spad{ts})} returns the inverse of \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts} assuming that \\axiom{\\spad{p}} is invertible \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}."))) NIL NIL -(-789 -1963 |ExtF| |SUEx| |ExtP| |n|) +(-789 -2119 |ExtF| |SUEx| |ExtP| |n|) ((|constructor| (NIL "This package \\undocumented")) (|Frobenius| ((|#4| |#4|) "\\spad{Frobenius(x)} \\undocumented")) (|retractIfCan| (((|Union| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) "failed") |#4|) "\\spad{retractIfCan(x)} \\undocumented")) (|normFactors| (((|List| |#4|) |#4|) "\\spad{normFactors(x)} \\undocumented"))) NIL NIL @@ -3099,7 +3099,7 @@ NIL (-792 R |VarSet|) ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . 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|#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197))))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197)))) (-2299 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197)))))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197)))) (-2299 (|HasCategory| |#1| (QUOTE (-557)))) (-2299 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197)))) (-2299 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-576))))) (-2299 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1197)))) (-2299 (|HasCategory| |#1| (LIST (QUOTE -1013) (QUOTE (-576))))))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) (-793 R S) ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) NIL @@ -3107,7 +3107,7 @@ NIL (-794 R) ((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and \\spad{gcd} for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedResultant2(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedResultant1(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} \\spad{cb}]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}\\spad{cb}]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + \\spad{cb} * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} \\spad{cb}]} such that \\axiom{\\spad{g}} is a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + \\spad{cb} * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial \\spad{gcd} in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} otherwise the non-zero sub-resultant with smallest index.")) (|subResultantsChain| (((|List| $) $ $) "\\axiom{subResultantsChain(a,{}\\spad{b})} returns the list of the non-zero sub-resultants of \\axiom{a} and \\axiom{\\spad{b}} sorted by increasing degree.")) (|lazyPseudoQuotient| (($ $ $) "\\axiom{lazyPseudoQuotient(a,{}\\spad{b})} returns \\axiom{\\spad{q}} if \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}")) (|lazyPseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{c^n} * a = \\spad{q*b} \\spad{+r}} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\axiom{lazyPseudoRemainder(a,{}\\spad{b})} returns \\axiom{\\spad{r}} if \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]}. This lazy pseudo-remainder is computed by means of the \\axiomOpFrom{fmecg}{NewSparseUnivariatePolynomial} operation.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| |#1|) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{\\spad{c^n} * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a \\spad{-r}} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-928))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1173))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) (-795 R) ((|constructor| (NIL "This package provides polynomials as functions on a ring.")) (|eulerE| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{eulerE(n,r)} \\undocumented")) (|bernoulliB| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{bernoulliB(n,r)} \\undocumented")) (|cyclotomic| ((|#1| (|NonNegativeInteger|) |#1|) "\\spad{cyclotomic(n,r)} \\undocumented"))) NIL @@ -3168,23 +3168,23 @@ NIL ((|constructor| (NIL "OctonionCategory gives the categorial frame for the octonions,{} and eight-dimensional non-associative algebra,{} doubling the the quaternions in the same way as doubling the Complex numbers to get the quaternions.")) (|inv| (($ $) "\\spad{inv(o)} returns the inverse of \\spad{o} if it exists.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(o)} returns the real part if all seven imaginary parts are 0,{} and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(o)} returns the real part if all seven imaginary parts are 0. Error: if \\spad{o} is not rational.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(o)} tests if \\spad{o} is rational,{} \\spadignore{i.e.} that all seven imaginary parts are 0.")) (|abs| ((|#1| $) "\\spad{abs(o)} computes the absolute value of an octonion,{} equal to the square root of the \\spadfunFrom{norm}{Octonion}.")) (|octon| (($ |#1| |#1| |#1| |#1| |#1| |#1| |#1| |#1|) "\\spad{octon(re,ri,rj,rk,rE,rI,rJ,rK)} constructs an octonion from scalars.")) (|norm| ((|#1| $) "\\spad{norm(o)} returns the norm of an octonion,{} equal to the sum of the squares of its coefficients.")) (|imagK| ((|#1| $) "\\spad{imagK(o)} extracts the imaginary \\spad{K} part of octonion \\spad{o}.")) (|imagJ| ((|#1| $) "\\spad{imagJ(o)} extracts the imaginary \\spad{J} part of octonion \\spad{o}.")) (|imagI| ((|#1| $) "\\spad{imagI(o)} extracts the imaginary \\spad{I} part of octonion \\spad{o}.")) (|imagE| ((|#1| $) "\\spad{imagE(o)} extracts the imaginary \\spad{E} part of octonion \\spad{o}.")) (|imagk| ((|#1| $) "\\spad{imagk(o)} extracts the \\spad{k} part of octonion \\spad{o}.")) (|imagj| ((|#1| $) "\\spad{imagj(o)} extracts the \\spad{j} part of octonion \\spad{o}.")) (|imagi| ((|#1| $) "\\spad{imagi(o)} extracts the \\spad{i} part of octonion \\spad{o}.")) (|real| ((|#1| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) ((-4458 . T) (-4459 . T) (-4461 . T)) NIL -(-810 -2759 R OS S) +(-810 -3795 R OS S) ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) NIL NIL (-811 R) ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) ((-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-2759 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2759 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-3795 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3795 (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1020 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (-812) ((|ODESolve| (((|Result|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{ODESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) NIL NIL -(-813 R -1963 L) +(-813 R -2119 L) ((|constructor| (NIL "Solution of linear ordinary differential equations,{} constant coefficient case.")) (|constDsolve| (((|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#3| |#2| (|Symbol|)) "\\spad{constDsolve(op, g, x)} returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular solution of the equation \\spad{op y = g},{} and the \\spad{yi}\\spad{'s} form a basis for the solutions of \\spad{op y = 0}."))) NIL NIL -(-814 R -1963) +(-814 R -2119) ((|constructor| (NIL "\\spad{ElementaryFunctionODESolver} provides the top-level functions for finding closed form solutions of ordinary differential equations and initial value problems.")) (|solve| (((|Union| |#2| "failed") |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{solve(eq, y, x = a, [y0,...,ym])} returns either the solution of the initial value problem \\spad{eq, y(a) = y0, y'(a) = y1,...} or \"failed\" if the solution cannot be found; error if the equation is not one linear ordinary or of the form \\spad{dy/dx = f(x,y)}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") |#2| (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}.") (((|Union| (|Record| (|:| |particular| |#2|) (|:| |basis| (|List| |#2|))) |#2| "failed") (|Equation| |#2|) (|BasicOperator|) (|Symbol|)) "\\spad{solve(eq, y, x)} returns either a solution of the ordinary differential equation \\spad{eq} or \"failed\" if no non-trivial solution can be found; If the equation is linear ordinary,{} a solution is of the form \\spad{[h, [b1,...,bm]]} where \\spad{h} is a particular solution and \\spad{[b1,...bm]} are linearly independent solutions of the associated homogenuous equation \\spad{f(x,y) = 0}; A full basis for the solutions of the homogenuous equation is not always returned,{} only the solutions which were found; If the equation is of the form {dy/dx = \\spad{f}(\\spad{x},{}\\spad{y})},{} a solution is of the form \\spad{h(x,y)} where \\spad{h(x,y) = c} is a first integral of the equation for any constant \\spad{c}; error if the equation is not one of those 2 forms.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| |#2|) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Symbol|)) "\\spad{solve([eq_1,...,eq_n], [y_1,...,y_n], x)} returns either \"failed\" or,{} if the equations form a fist order linear system,{} a solution of the form \\spad{[y_p, [b_1,...,b_n]]} where \\spad{h_p} is a particular solution and \\spad{[b_1,...b_m]} are linearly independent solutions of the associated homogenuous system. error if the equations do not form a first order linear system") (((|Union| (|List| (|Vector| |#2|)) "failed") (|Matrix| |#2|) (|Symbol|)) "\\spad{solve(m, x)} returns a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable.") (((|Union| (|Record| (|:| |particular| (|Vector| |#2|)) (|:| |basis| (|List| (|Vector| |#2|)))) "failed") (|Matrix| |#2|) (|Vector| |#2|) (|Symbol|)) "\\spad{solve(m, v, x)} returns \\spad{[v_p, [v_1,...,v_m]]} such that the solutions of the system \\spad{D y = m y + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D y = m y}. \\spad{x} is the dependent variable."))) NIL NIL @@ -3192,7 +3192,7 @@ NIL ((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE\\spad{'s}.")) (|showIntensityFunctions| (((|Union| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))) "failed") (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{showIntensityFunctions(k)} returns the entries in the table of intensity functions \\spad{k}.")) (|insert!| (($ (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|)))))) "\\spad{insert!(r)} inserts an entry \\spad{r} into theIFTable")) (|iFTable| (($ (|List| (|Record| (|:| |key| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) (|:| |entry| (|Record| (|:| |stiffness| (|Float|)) (|:| |stability| (|Float|)) (|:| |expense| (|Float|)) (|:| |accuracy| (|Float|)) (|:| |intermediateResults| (|Float|))))))) "\\spad{iFTable(l)} creates an intensity-functions table from the elements of \\spad{l}.")) (|keys| (((|List| (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) $) "\\spad{keys(tab)} returns the list of keys of \\spad{f}")) (|clearTheIFTable| (((|Void|)) "\\spad{clearTheIFTable()} clears the current table of intensity functions.")) (|showTheIFTable| (($) "\\spad{showTheIFTable()} returns the current table of intensity functions."))) NIL NIL -(-816 R -1963) +(-816 R -2119) ((|constructor| (NIL "\\spadtype{ODEIntegration} provides an interface to the integrator. This package is intended for use by the differential equations solver but not at top-level.")) (|diff| (((|Mapping| |#2| |#2|) (|Symbol|)) "\\spad{diff(x)} returns the derivation with respect to \\spad{x}.")) (|expint| ((|#2| |#2| (|Symbol|)) "\\spad{expint(f, x)} returns e^{the integral of \\spad{f} with respect to \\spad{x}}.")) (|int| ((|#2| |#2| (|Symbol|)) "\\spad{int(f, x)} returns the integral of \\spad{f} with respect to \\spad{x}."))) NIL NIL @@ -3200,11 +3200,11 @@ NIL ((|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{measure(prob,R)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} listed in \\axiom{\\spad{R}} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.") (((|Record| (|:| |measure| (|Float|)) (|:| |name| (|String|)) (|:| |explanations| (|List| (|String|)))) (|NumericalODEProblem|)) "\\spad{measure(prob)} is a top level ANNA function for identifying the most appropriate numerical routine from those in the routines table provided for solving the numerical ODE problem defined by \\axiom{\\spad{prob}}. \\blankline It calls each \\axiom{domain} of \\axiom{category} \\axiomType{OrdinaryDifferentialEquationsSolverCategory} in turn to calculate all measures and returns the best \\spadignore{i.e.} the name of the most appropriate domain and any other relevant information. It predicts the likely most effective NAG numerical Library routine to solve the input set of ODEs by checking various attributes of the system of ODEs and calculating a measure of compatibility of each routine to these attributes.")) (|solve| (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,epsabs,epsrel)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to an absolute error requirement \\axiom{\\spad{epsabs}} and relative error \\axiom{\\spad{epsrel}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,intVals,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The values of \\spad{Y}[1]..\\spad{Y}[\\spad{n}] will be output for the values of \\spad{X} in \\axiom{\\spad{intVals}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Expression| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,G,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. The calculation will stop if the function \\spad{G}(\\spad{X},{}\\spad{Y}[1],{}..,{}\\spad{Y}[\\spad{n}]) evaluates to zero before \\spad{X} = \\spad{xEnd}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|)) (|Float|)) "\\spad{solve(f,xStart,xEnd,yInitial,tol)} is a top level ANNA function to solve numerically a system of ordinary differential equations,{} \\axiom{\\spad{f}},{} \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}] from \\axiom{\\spad{xStart}} to \\axiom{\\spad{xEnd}} with the initial values for \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (\\axiom{\\spad{yInitial}}) to a tolerance \\axiom{\\spad{tol}}. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|Vector| (|Expression| (|Float|))) (|Float|) (|Float|) (|List| (|Float|))) "\\spad{solve(f,xStart,xEnd,yInitial)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with a starting value for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions) and a final value of \\spad{X}. A default value is used for the accuracy requirement. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|) (|RoutinesTable|)) "\\spad{solve(odeProblem,R)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} contained in the table of routines \\axiom{\\spad{R}} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine.") (((|Result|) (|NumericalODEProblem|)) "\\spad{solve(odeProblem)} is a top level ANNA function to solve numerically a system of ordinary differential equations \\spadignore{i.e.} equations for the derivatives \\spad{Y}[1]'..\\spad{Y}[\\spad{n}]' defined in terms of \\spad{X},{}\\spad{Y}[1]..\\spad{Y}[\\spad{n}],{} together with starting values for \\spad{X} and \\spad{Y}[1]..\\spad{Y}[\\spad{n}] (called the initial conditions),{} a final value of \\spad{X},{} an accuracy requirement and any intermediate points at which the result is required. \\blankline It iterates over the \\axiom{domains} of \\axiomType{OrdinaryDifferentialEquationsSolverCategory} to get the name and other relevant information of the the (domain of the) numerical routine likely to be the most appropriate,{} \\spadignore{i.e.} have the best \\axiom{measure}. \\blankline The method used to perform the numerical process will be one of the routines contained in the NAG numerical Library. The function predicts the likely most effective routine by checking various attributes of the system of ODE\\spad{'s} and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine."))) NIL NIL -(-818 -1963 UP UPUP R) +(-818 -2119 UP UPUP R) ((|constructor| (NIL "In-field solution of an linear ordinary differential equation,{} pure algebraic case.")) (|algDsolve| (((|Record| (|:| |particular| (|Union| |#4| "failed")) (|:| |basis| (|List| |#4|))) (|LinearOrdinaryDifferentialOperator1| |#4|) |#4|) "\\spad{algDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no solution in \\spad{R}. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{y_i's} form a basis for the solutions in \\spad{R} of the homogeneous equation."))) NIL NIL -(-819 -1963 UP L LQ) +(-819 -2119 UP L LQ) ((|constructor| (NIL "\\spad{PrimitiveRatDE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the transcendental case.} \\indented{1}{The derivation to use is given by the parameter \\spad{L}.}")) (|splitDenominator| (((|Record| (|:| |eq| |#3|) (|:| |rh| (|List| (|Fraction| |#2|)))) |#4| (|List| (|Fraction| |#2|))) "\\spad{splitDenominator(op, [g1,...,gm])} returns \\spad{op0, [h1,...,hm]} such that the equations \\spad{op y = c1 g1 + ... + cm gm} and \\spad{op0 y = c1 h1 + ... + cm hm} have the same solutions.")) (|indicialEquation| ((|#2| |#4| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.") ((|#2| |#3| |#1|) "\\spad{indicialEquation(op, a)} returns the indicial equation of \\spad{op} at \\spad{a}.")) (|indicialEquations| (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#4|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3| |#2|) "\\spad{indicialEquations(op, p)} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.") (((|List| (|Record| (|:| |center| |#2|) (|:| |equation| |#2|))) |#3|) "\\spad{indicialEquations op} returns \\spad{[[d1,e1],...,[dq,eq]]} where the \\spad{d_i}\\spad{'s} are the affine singularities of \\spad{op},{} and the \\spad{e_i}\\spad{'s} are the indicial equations at each \\spad{d_i}.")) (|denomLODE| ((|#2| |#3| (|List| (|Fraction| |#2|))) "\\spad{denomLODE(op, [g1,...,gm])} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{p/d} for some polynomial \\spad{p}.") (((|Union| |#2| "failed") |#3| (|Fraction| |#2|)) "\\spad{denomLODE(op, g)} returns a polynomial \\spad{d} such that any rational solution of \\spad{op y = g} is of the form \\spad{p/d} for some polynomial \\spad{p},{} and \"failed\",{} if the equation has no rational solution."))) NIL NIL @@ -3212,38 +3212,38 @@ NIL ((|retract| (((|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|))) $) "\\spad{retract(x)} \\undocumented{}")) (|coerce| (($ (|Record| (|:| |xinit| (|DoubleFloat|)) (|:| |xend| (|DoubleFloat|)) (|:| |fn| (|Vector| (|Expression| (|DoubleFloat|)))) (|:| |yinit| (|List| (|DoubleFloat|))) (|:| |intvals| (|List| (|DoubleFloat|))) (|:| |g| (|Expression| (|DoubleFloat|))) (|:| |abserr| (|DoubleFloat|)) (|:| |relerr| (|DoubleFloat|)))) "\\spad{coerce(x)} \\undocumented{}"))) NIL NIL -(-821 -1963 UP L LQ) +(-821 -2119 UP L LQ) ((|constructor| (NIL "In-field solution of Riccati equations,{} primitive case.")) (|changeVar| ((|#3| |#3| (|Fraction| |#2|)) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.") ((|#3| |#3| |#2|) "\\spad{changeVar(+/[ai D^i], a)} returns the operator \\spad{+/[ai (D+a)^i]}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#2|) |#2| (|SparseUnivariatePolynomial| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, zeros, ezfactor)} returns \\spad{[[f1, L1], [f2, L2], ... , [fk, Lk]]} such that the singular part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z=0}. \\spad{zeros(C(x),H(x,y))} returns all the \\spad{P_i(x)}\\spad{'s} such that \\spad{H(x,P_i(x)) = 0 modulo C(x)}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk, Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y=0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z=y e^{-int p}} is \\spad{Li z =0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|constantCoefficientRicDE| (((|List| (|Record| (|:| |constant| |#1|) (|:| |eq| |#3|))) |#3| (|Mapping| (|List| |#1|) |#2|)) "\\spad{constantCoefficientRicDE(op, ric)} returns \\spad{[[a1, L1], [a2, L2], ... , [ak, Lk]]} such that any rational solution with no polynomial part of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{ai}\\spad{'s} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. \\spad{ric} is a Riccati equation solver over \\spad{F},{} whose input is the associated linear equation.")) (|leadingCoefficientRicDE| (((|List| (|Record| (|:| |deg| (|NonNegativeInteger|)) (|:| |eq| |#2|))) |#3|) "\\spad{leadingCoefficientRicDE(op)} returns \\spad{[[m1, p1], [m2, p2], ... , [mk, pk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must have degree \\spad{mj} for some \\spad{j},{} and its leading coefficient is then a zero of \\spad{pj}. In addition,{}\\spad{m1>m2> ... >mk}.")) (|denomRicDE| ((|#2| |#3|) "\\spad{denomRicDE(op)} returns a polynomial \\spad{d} such that any rational solution of the associated Riccati equation of \\spad{op y = 0} is of the form \\spad{p/d + q'/q + r} for some polynomials \\spad{p} and \\spad{q} and a reduced \\spad{r}. Also,{} \\spad{deg(p) < deg(d)} and {\\spad{gcd}(\\spad{d},{}\\spad{q}) = 1}."))) NIL NIL -(-822 -1963 UP) +(-822 -2119 UP) ((|constructor| (NIL "\\spad{RationalLODE} provides functions for in-field solutions of linear \\indented{1}{ordinary differential equations,{} in the rational case.}")) (|indicialEquationAtInfinity| ((|#2| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.") ((|#2| (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{indicialEquationAtInfinity op} returns the indicial equation of \\spad{op} at infinity.")) (|ratDsolve| (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation.") (((|Record| (|:| |basis| (|List| (|Fraction| |#2|))) (|:| |mat| (|Matrix| |#1|))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|List| (|Fraction| |#2|))) "\\spad{ratDsolve(op, [g1,...,gm])} returns \\spad{[[h1,...,hq], M]} such that any rational solution of \\spad{op y = c1 g1 + ... + cm gm} is of the form \\spad{d1 h1 + ... + dq hq} where \\spad{M [d1,...,dq,c1,...,cm] = 0}.") (((|Record| (|:| |particular| (|Union| (|Fraction| |#2|) "failed")) (|:| |basis| (|List| (|Fraction| |#2|)))) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Fraction| |#2|)) "\\spad{ratDsolve(op, g)} returns \\spad{[\"failed\", []]} if the equation \\spad{op y = g} has no rational solution. Otherwise,{} it returns \\spad{[f, [y1,...,ym]]} where \\spad{f} is a particular rational solution and the \\spad{yi}\\spad{'s} form a basis for the rational solutions of the homogeneous equation."))) NIL NIL -(-823 -1963 L UP A LO) +(-823 -2119 L UP A LO) ((|constructor| (NIL "Elimination of an algebraic from the coefficentss of a linear ordinary differential equation.")) (|reduceLODE| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) |#5| |#4|) "\\spad{reduceLODE(op, g)} returns \\spad{[m, v]} such that any solution in \\spad{A} of \\spad{op z = g} is of the form \\spad{z = (z_1,...,z_m) . (b_1,...,b_m)} where the \\spad{b_i's} are the basis of \\spad{A} over \\spad{F} returned by \\spadfun{basis}() from \\spad{A},{} and the \\spad{z_i's} satisfy the differential system \\spad{M.z = v}."))) NIL NIL -(-824 -1963 UP) +(-824 -2119 UP) ((|constructor| (NIL "In-field solution of Riccati equations,{} rational case.")) (|polyRicDE| (((|List| (|Record| (|:| |poly| |#2|) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{polyRicDE(op, zeros)} returns \\spad{[[p1, L1], [p2, L2], ... , [pk,Lk]]} such that the polynomial part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{pi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int p}} is \\spad{Li z = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.")) (|singRicDE| (((|List| (|Record| (|:| |frac| (|Fraction| |#2|)) (|:| |eq| (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))))) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{singRicDE(op, ezfactor)} returns \\spad{[[f1,L1], [f2,L2],..., [fk,Lk]]} such that the singular \\spad{++} part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}\\spad{'s} (up to the constant coefficient),{} in which case the equation for \\spad{z = y e^{-int ai}} is \\spad{Li z = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.")) (|ricDsolve| (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|))) "\\spad{ricDsolve(op)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator2| |#2| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{ricDsolve(op, zeros, ezfactor)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}. Argument \\spad{ezfactor} is a factorisation in \\spad{UP},{} not necessarily into irreducibles.") (((|List| (|Fraction| |#2|)) (|LinearOrdinaryDifferentialOperator1| (|Fraction| |#2|)) (|Mapping| (|List| |#1|) |#2|)) "\\spad{ricDsolve(op, zeros)} returns the rational solutions of the associated Riccati equation of \\spad{op y = 0}. \\spad{zeros} is a zero finder in \\spad{UP}."))) NIL ((|HasCategory| |#1| (QUOTE (-27)))) -(-825 -1963 LO) +(-825 -2119 LO) ((|constructor| (NIL "SystemODESolver provides tools for triangulating and solving some systems of linear ordinary differential equations.")) (|solveInField| (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#2|) (|Vector| |#1|) (|Mapping| (|Record| (|:| |particular| (|Union| |#1| "failed")) (|:| |basis| (|List| |#1|))) |#2| |#1|)) "\\spad{solveInField(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{m x = v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{m x = 0}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|solve| (((|Union| (|Record| (|:| |particular| (|Vector| |#1|)) (|:| |basis| (|Matrix| |#1|))) "failed") (|Matrix| |#1|) (|Vector| |#1|) (|Mapping| (|Union| (|Record| (|:| |particular| |#1|) (|:| |basis| (|List| |#1|))) "failed") |#2| |#1|)) "\\spad{solve(m, v, solve)} returns \\spad{[[v_1,...,v_m], v_p]} such that the solutions in \\spad{F} of the system \\spad{D x = m x + v} are \\spad{v_p + c_1 v_1 + ... + c_m v_m} where the \\spad{c_i's} are constants,{} and the \\spad{v_i's} form a basis for the solutions of \\spad{D x = m x}. Argument \\spad{solve} is a function for solving a single linear ordinary differential equation in \\spad{F}.")) (|triangulate| (((|Record| (|:| |mat| (|Matrix| |#2|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| |#2|) (|Vector| |#1|)) "\\spad{triangulate(m, v)} returns \\spad{[m_0, v_0]} such that \\spad{m_0} is upper triangular and the system \\spad{m_0 x = v_0} is equivalent to \\spad{m x = v}.") (((|Record| (|:| A (|Matrix| |#1|)) (|:| |eqs| (|List| (|Record| (|:| C (|Matrix| |#1|)) (|:| |g| (|Vector| |#1|)) (|:| |eq| |#2|) (|:| |rh| |#1|))))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{triangulate(M,v)} returns \\spad{A,[[C_1,g_1,L_1,h_1],...,[C_k,g_k,L_k,h_k]]} such that under the change of variable \\spad{y = A z},{} the first order linear system \\spad{D y = M y + v} is uncoupled as \\spad{D z_i = C_i z_i + g_i} and each \\spad{C_i} is a companion matrix corresponding to the scalar equation \\spad{L_i z_j = h_i}."))) NIL NIL -(-826 -1963 LODO) +(-826 -2119 LODO) ((|constructor| (NIL "\\spad{ODETools} provides tools for the linear ODE solver.")) (|particularSolution| (((|Union| |#1| "failed") |#2| |#1| (|List| |#1|) (|Mapping| |#1| |#1|)) "\\spad{particularSolution(op, g, [f1,...,fm], I)} returns a particular solution \\spad{h} of the equation \\spad{op y = g} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. 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The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . 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(((-4466 "*") |has| |#2| (-374)) (-4457 |has| |#2| (-374)) (-4462 |has| |#2| (-374)) (-4456 |has| |#2| (-374)) (-4461 . T) (-4459 . T) (-4458 . T)) @@ -3311,7 +3311,7 @@ NIL (-845 R) ((|constructor| (NIL "Adjunction of a complex infinity to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one,{} \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} is not a rational number.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is infinite.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|infinity| (($) "\\spad{infinity()} returns infinity."))) ((-4461 |has| |#1| (-860))) -((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2759 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2759 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) +((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-3795 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-3795 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) (-846 A S) ((|constructor| (NIL "This category specifies the interface for operators used to build terms,{} in the sense of Universal Algebra. The domain parameter \\spad{S} provides representation for the `external name' of an operator.")) (|is?| (((|Boolean|) $ |#2|) "\\spad{is?(op,n)} holds if the name of the operator \\spad{op} is \\spad{n}.")) (|arity| (((|Arity|) $) "\\spad{arity(op)} returns the arity of the operator \\spad{op}.")) (|name| ((|#2| $) "\\spad{name(op)} returns the externam name of \\spad{op}."))) NIL @@ -3351,12 +3351,12 @@ NIL (-855 R) ((|constructor| (NIL "Adjunction of two real infinites quantities to a set. Date Created: 4 Oct 1989 Date Last Updated: 1 Nov 1989")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(x)} returns \\spad{x} as a finite rational number if it is one and \"failed\" otherwise.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(x)} returns \\spad{x} as a finite rational number. Error: if \\spad{x} cannot be so converted.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(x)} tests if \\spad{x} is a finite rational number.")) (|whatInfinity| (((|SingleInteger|) $) "\\spad{whatInfinity(x)} returns 0 if \\spad{x} is finite,{} 1 if \\spad{x} is +infinity,{} and \\spad{-1} if \\spad{x} is -infinity.")) (|infinite?| (((|Boolean|) $) "\\spad{infinite?(x)} tests if \\spad{x} is +infinity or -infinity,{}")) (|finite?| (((|Boolean|) $) "\\spad{finite?(x)} tests if \\spad{x} is finite.")) (|minusInfinity| (($) "\\spad{minusInfinity()} returns -infinity.")) (|plusInfinity| (($) "\\spad{plusInfinity()} returns +infinity."))) ((-4461 |has| |#1| (-860))) -((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2759 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2759 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) +((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-3795 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-3795 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) (-856) ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) NIL NIL -(-857 -2705 S) +(-857 -1914 S) ((|constructor| (NIL "\\indented{3}{This package provides ordering functions on vectors which} are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering."))) NIL NIL @@ -3400,11 +3400,11 @@ NIL ((|constructor| (NIL "\\spad{UnivariateSkewPolynomialCategoryOps} provides products and \\indented{1}{divisions of univariate skew polynomials.}")) (|rightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{rightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|leftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{leftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicRightDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicRightDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = q*b + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``right division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|monicLeftDivide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2| (|Automorphism| |#1|)) "\\spad{monicLeftDivide(a, b, sigma)} returns the pair \\spad{[q,r]} such that \\spad{a = b*q + r} and the degree of \\spad{r} is less than the degree of \\spad{b}. \\spad{b} must be monic. This process is called ``left division\\spad{''}. \\spad{\\sigma} is the morphism to use.")) (|apply| ((|#1| |#2| |#1| |#1| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{apply(p, c, m, sigma, delta)} returns \\spad{p(m)} where the action is given by \\spad{x m = c sigma(m) + delta(m)}.")) (|times| ((|#2| |#2| |#2| (|Automorphism| |#1|) (|Mapping| |#1| |#1|)) "\\spad{times(p, q, sigma, delta)} returns \\spad{p * q}. \\spad{\\sigma} and \\spad{\\delta} are the maps to use."))) NIL ((|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) -(-868 R |sigma| -3642) +(-868 R |sigma| -1993) ((|constructor| (NIL "This is the domain of sparse univariate skew polynomials over an Ore coefficient field. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}.")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p, x)} returns the output form of \\spad{p} using \\spad{x} for the otherwise anonymous variable."))) ((-4458 . T) (-4459 . T) (-4461 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) -(-869 |x| R |sigma| -3642) +(-869 |x| R |sigma| -1993) ((|constructor| (NIL "This is the domain of univariate skew polynomials over an Ore coefficient field in a named variable. The multiplication is given by \\spad{x a = \\sigma(a) x + \\delta a}."))) ((-4458 . T) (-4459 . T) (-4461 . T)) ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-374)))) @@ -3471,15 +3471,15 @@ NIL (-885 |p|) ((|constructor| (NIL "Stream-based implementation of \\spad{Qp:} numbers are represented as sum(\\spad{i} = \\spad{k}..,{} a[\\spad{i}] * p^i) where the a[\\spad{i}] lie in 0,{}1,{}...,{}(\\spad{p} - 1)."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-884 |#1|) (QUOTE (-928))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-148))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-884 |#1|) (QUOTE (-1043))) (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861))) (-2759 (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-1173))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-237))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-238))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -884) (|devaluate| |#1|)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (QUOTE (-317))) (|HasCategory| (-884 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))))) +((|HasCategory| (-884 |#1|) (QUOTE (-928))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-148))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-884 |#1|) (QUOTE (-1043))) (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861))) (-3795 (|HasCategory| (-884 |#1|) (QUOTE (-832))) (|HasCategory| (-884 |#1|) (QUOTE (-861)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-1173))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-884 |#1|) (QUOTE (-237))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (QUOTE (-238))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -526) (QUOTE (-1197)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -884) (|devaluate| |#1|)) (LIST (QUOTE -884) (|devaluate| |#1|)))) (|HasCategory| (-884 |#1|) (QUOTE (-317))) (|HasCategory| (-884 |#1|) (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-884 |#1|) (QUOTE (-928)))) (|HasCategory| (-884 |#1|) (QUOTE (-146))))) (-886 |p| PADIC) ((|constructor| (NIL "This is the category of stream-based representations of \\spad{Qp}.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,x)} removes up to \\spad{n} leading zeroes from the \\spad{p}-adic rational \\spad{x}.") (($ $) "\\spad{removeZeroes(x)} removes leading zeroes from the representation of the \\spad{p}-adic rational \\spad{x}. A \\spad{p}-adic rational is represented by (1) an exponent and (2) a \\spad{p}-adic integer which may have leading zero digits. When the \\spad{p}-adic integer has a leading zero digit,{} a 'leading zero' is removed from the \\spad{p}-adic rational as follows: the number is rewritten by increasing the exponent by 1 and dividing the \\spad{p}-adic integer by \\spad{p}. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}.")) (|continuedFraction| (((|ContinuedFraction| (|Fraction| (|Integer|))) $) "\\spad{continuedFraction(x)} converts the \\spad{p}-adic rational number \\spad{x} to a continued fraction.")) (|approximate| (((|Fraction| (|Integer|)) $ (|Integer|)) "\\spad{approximate(x,n)} returns a rational number \\spad{y} such that \\spad{y = x (mod p^n)}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861))) (-2759 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -296) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1043))) (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861))) (-3795 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-861)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -296) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-557))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) (-887 S T$) ((|constructor| (NIL "\\indented{1}{This domain provides a very simple representation} of the notion of `pair of objects'. It does not try to achieve all possible imaginable things.")) (|second| ((|#2| $) "\\spad{second(p)} extracts the second components of \\spad{`p'}.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of \\spad{`p'}.")) (|construct| (($ |#1| |#2|) "\\spad{construct(s,t)} is same as pair(\\spad{s},{}\\spad{t}),{} with syntactic sugar.")) (|pair| (($ |#1| |#2|) "\\spad{pair(s,t)} returns a pair object composed of \\spad{`s'} and \\spad{`t'}."))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))))) (-888) ((|constructor| (NIL "This domain describes four groups of color shades (palettes).")) (|coerce| (($ (|Color|)) "\\spad{coerce(c)} sets the average shade for the palette to that of the indicated color \\spad{c}.")) (|shade| (((|Integer|) $) "\\spad{shade(p)} returns the shade index of the indicated palette \\spad{p}.")) (|hue| (((|Color|) $) "\\spad{hue(p)} returns the hue field of the indicated palette \\spad{p}.")) (|light| (($ (|Color|)) "\\spad{light(c)} sets the shade of a hue,{} \\spad{c},{} to it\\spad{'s} highest value.")) (|pastel| (($ (|Color|)) "\\spad{pastel(c)} sets the shade of a hue,{} \\spad{c},{} above bright,{} but below light.")) (|bright| (($ (|Color|)) "\\spad{bright(c)} sets the shade of a hue,{} \\spad{c},{} above dim,{} but below pastel.")) (|dim| (($ (|Color|)) "\\spad{dim(c)} sets the shade of a hue,{} \\spad{c},{} above dark,{} but below bright.")) (|dark| (($ (|Color|)) "\\spad{dark(c)} sets the shade of the indicated hue of \\spad{c} to it\\spad{'s} lowest value."))) NIL @@ -3539,7 +3539,7 @@ NIL (-902 |Base| |Subject| |Pat|) ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,...,vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,...,en], pat)} matches the pattern pat on the list of expressions \\spad{[e1,...,en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,...,en], pat)} tests if the list of expressions \\spad{[e1,...,en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr, pat)} tests if the expression \\spad{expr} matches the pattern pat."))) NIL -((-12 (-2663 (|HasCategory| |#2| (QUOTE (-1070)))) (-2663 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (-2663 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) +((-12 (-2299 (|HasCategory| |#2| (QUOTE (-1070)))) (-2299 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (-12 (|HasCategory| |#2| (QUOTE (-1070))) (-2299 (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-1197))))) (-903 R A B) ((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f, [(v1,a1),...,(vn,an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(a1)),{}...,{}(\\spad{vn},{}\\spad{f}(an))]."))) NIL @@ -3548,7 +3548,7 @@ NIL ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r, p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,e1],...,[vn,en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var, expr, r, val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var, r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a, b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) NIL NIL -(-905 R -2020) +(-905 R -3157) ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,...,vn], p)} returns \\spad{f(v1,...,vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v, p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p, [a1,...,an], f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,...,an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p, [f1,...,fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p, f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) NIL NIL @@ -3580,7 +3580,7 @@ NIL ((|PDESolve| (((|Result|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{PDESolve(args)} performs the integration of the function given the strategy or method returned by \\axiomFun{measure}.")) (|measure| (((|Record| (|:| |measure| (|Float|)) (|:| |explanations| (|String|))) (|RoutinesTable|) (|Record| (|:| |pde| (|List| (|Expression| (|DoubleFloat|)))) (|:| |constraints| (|List| (|Record| (|:| |start| (|DoubleFloat|)) (|:| |finish| (|DoubleFloat|)) (|:| |grid| (|NonNegativeInteger|)) (|:| |boundaryType| (|Integer|)) (|:| |dStart| (|Matrix| (|DoubleFloat|))) (|:| |dFinish| (|Matrix| (|DoubleFloat|)))))) (|:| |f| (|List| (|List| (|Expression| (|DoubleFloat|))))) (|:| |st| (|String|)) (|:| |tol| (|DoubleFloat|)))) "\\spad{measure(R,args)} calculates an estimate of the ability of a particular method to solve a problem. \\blankline This method may be either a specific NAG routine or a strategy (such as transforming the function from one which is difficult to one which is easier to solve). \\blankline It will call whichever agents are needed to perform analysis on the problem in order to calculate the measure. There is a parameter,{} labelled \\axiom{sofar},{} which would contain the best compatibility found so far."))) NIL NIL -(-913 UP -1963) +(-913 UP -2119) ((|constructor| (NIL "This package \\undocumented")) (|rightFactorCandidate| ((|#1| |#1| (|NonNegativeInteger|)) "\\spad{rightFactorCandidate(p,n)} \\undocumented")) (|leftFactor| (((|Union| |#1| "failed") |#1| |#1|) "\\spad{leftFactor(p,q)} \\undocumented")) (|decompose| (((|Union| (|Record| (|:| |left| |#1|) (|:| |right| |#1|)) "failed") |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{decompose(up,m,n)} \\undocumented") (((|List| |#1|) |#1|) "\\spad{decompose(up)} \\undocumented"))) NIL NIL @@ -3611,7 +3611,7 @@ NIL (-920 S) ((|constructor| (NIL "\\indented{1}{A PendantTree(\\spad{S})is either a leaf? and is an \\spad{S} or has} a left and a right both PendantTree(\\spad{S})\\spad{'s}")) (|ptree| (($ $ $) "\\spad{ptree(x,y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree"))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-921 |n| R) ((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} \\spad{Ch}. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of \\spad{x:}\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} \\spad{ch}.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$R ~= 2},{}} \\indented{3}{but how to check that for any given \\spad{R} ?),{}} \\indented{3}{the local function {\\em permanent2} is called;} \\item 3. else,{} the local function {\\em permanent3} is called \\indented{3}{(works for all commutative rings \\spad{R}).} \\end{items}"))) NIL @@ -3627,7 +3627,7 @@ NIL (-924 S) ((|constructor| (NIL "Permutation(\\spad{S}) implements the group of all bijections \\indented{2}{on a set \\spad{S},{} which move only a finite number of points.} \\indented{2}{A permutation is considered as a map from \\spad{S} into \\spad{S}. In particular} \\indented{2}{multiplication is defined as composition of maps:} \\indented{2}{{\\em pi1 * pi2 = pi1 o pi2}.} \\indented{2}{The internal representation of permuatations are two lists} \\indented{2}{of equal length representing preimages and images.}")) (|coerceImages| (($ (|List| |#1|)) "\\spad{coerceImages(ls)} coerces the list {\\em ls} to a permutation whose image is given by {\\em ls} and the preimage is fixed to be {\\em [1,...,n]}. Note: {coerceImages(\\spad{ls})=coercePreimagesImages([1,{}...,{}\\spad{n}],{}\\spad{ls})}. We assume that both preimage and image do not contain repetitions.")) (|fixedPoints| (((|Set| |#1|) $) "\\spad{fixedPoints(p)} returns the points fixed by the permutation \\spad{p}.")) (|sort| (((|List| $) (|List| $)) "\\spad{sort(lp)} sorts a list of permutations {\\em lp} according to cycle structure first according to length of cycles,{} second,{} if \\spad{S} has \\spadtype{Finite} or \\spad{S} has \\spadtype{OrderedSet} according to lexicographical order of entries in cycles of equal length.")) (|odd?| (((|Boolean|) $) "\\spad{odd?(p)} returns \\spad{true} if and only if \\spad{p} is an odd permutation \\spadignore{i.e.} {\\em sign(p)} is {\\em -1}.")) (|even?| (((|Boolean|) $) "\\spad{even?(p)} returns \\spad{true} if and only if \\spad{p} is an even permutation,{} \\spadignore{i.e.} {\\em sign(p)} is 1.")) (|sign| (((|Integer|) $) "\\spad{sign(p)} returns the signum of the permutation \\spad{p},{} \\spad{+1} or \\spad{-1}.")) (|numberOfCycles| (((|NonNegativeInteger|) $) "\\spad{numberOfCycles(p)} returns the number of non-trivial cycles of the permutation \\spad{p}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of a permutation \\spad{p} as a group element.")) (|cyclePartition| (((|Partition|) $) "\\spad{cyclePartition(p)} returns the cycle structure of a permutation \\spad{p} including cycles of length 1 only if \\spad{S} is finite.")) (|degree| (((|NonNegativeInteger|) $) "\\spad{degree(p)} retuns the number of points moved by the permutation \\spad{p}.")) (|coerceListOfPairs| (($ (|List| (|List| |#1|))) "\\spad{coerceListOfPairs(lls)} coerces a list of pairs {\\em lls} to a permutation. Error: if not consistent,{} \\spadignore{i.e.} the set of the first elements coincides with the set of second elements. coerce(\\spad{p}) generates output of the permutation \\spad{p} with domain OutputForm.")) (|coerce| (($ (|List| |#1|)) "\\spad{coerce(ls)} coerces a cycle {\\em ls},{} \\spadignore{i.e.} a list with not repetitions to a permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list. Error: if repetitions occur.") (($ (|List| (|List| |#1|))) "\\spad{coerce(lls)} coerces a list of cycles {\\em lls} to a permutation,{} each cycle being a list with no repetitions,{} is coerced to the permutation,{} which maps {\\em ls.i} to {\\em ls.i+1},{} indices modulo the length of the list,{} then these permutations are mutiplied. Error: if repetitions occur in one cycle.")) (|coercePreimagesImages| (($ (|List| (|List| |#1|))) "\\spad{coercePreimagesImages(lls)} coerces the representation {\\em lls} of a permutation as a list of preimages and images to a permutation. We assume that both preimage and image do not contain repetitions.")) (|listRepresentation| (((|Record| (|:| |preimage| (|List| |#1|)) (|:| |image| (|List| |#1|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) ((-4461 . T)) -((-2759 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) +((-3795 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-861)))) (-925 R E |VarSet| S) ((|constructor| (NIL "PolynomialFactorizationByRecursion(\\spad{R},{}\\spad{E},{}\\spad{VarSet},{}\\spad{S}) is used for factorization of sparse univariate polynomials over a domain \\spad{S} of multivariate polynomials over \\spad{R}.")) (|factorSFBRlcUnit| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|List| |#3|) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSFBRlcUnit(p)} returns the square free factorization of polynomial \\spad{p} (see \\spadfun{factorSquareFreeByRecursion}{PolynomialFactorizationByRecursionUnivariate}) in the case where the leading coefficient of \\spad{p} is a unit.")) (|bivariateSLPEBR| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|) |#3|) "\\spad{bivariateSLPEBR(lp,p,v)} implements the bivariate case of \\spadfunFrom{solveLinearPolynomialEquationByRecursion}{PolynomialFactorizationByRecursionUnivariate}; its implementation depends on \\spad{R}")) (|randomR| ((|#1|) "\\spad{randomR produces} a random element of \\spad{R}")) (|factorSquareFreeByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorSquareFreeByRecursion(p)} returns the square free factorization of \\spad{p}. This functions performs the recursion step for factorSquareFreePolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorSquareFreePolynomial}).")) (|factorByRecursion| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factorByRecursion(p)} factors polynomial \\spad{p}. This function performs the recursion step for factorPolynomial,{} as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{factorPolynomial})")) (|solveLinearPolynomialEquationByRecursion| (((|Union| (|List| (|SparseUnivariatePolynomial| |#4|)) "failed") (|List| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{solveLinearPolynomialEquationByRecursion([p1,...,pn],p)} returns the list of polynomials \\spad{[q1,...,qn]} such that \\spad{sum qi/pi = p / prod pi},{} a recursion step for solveLinearPolynomialEquation as defined in \\spadfun{PolynomialFactorizationExplicit} category (see \\spadfun{solveLinearPolynomialEquation}). If no such list of \\spad{qi} exists,{} then \"failed\" is returned."))) NIL @@ -3648,7 +3648,7 @@ NIL ((|constructor| (NIL "PrimeField(\\spad{p}) implements the field with \\spad{p} elements if \\spad{p} is a prime number. Error: if \\spad{p} is not prime. Note: this domain does not check that argument is a prime."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-379)))) -(-930 R0 -1963 UP UPUP R) +(-930 R0 -2119 UP UPUP R) ((|constructor| (NIL "This package provides function for testing whether a divisor on a curve is a torsion divisor.")) (|torsionIfCan| (((|Union| (|Record| (|:| |order| (|NonNegativeInteger|)) (|:| |function| |#5|)) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsionIfCan(f)}\\\\ undocumented")) (|torsion?| (((|Boolean|) (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{torsion?(f)} \\undocumented")) (|order| (((|Union| (|NonNegativeInteger|) "failed") (|FiniteDivisor| |#2| |#3| |#4| |#5|)) "\\spad{order(f)} \\undocumented"))) NIL NIL @@ -3676,7 +3676,7 @@ NIL ((|constructor| (NIL "PermutationGroupExamples provides permutation groups for some classes of groups: symmetric,{} alternating,{} dihedral,{} cyclic,{} direct products of cyclic,{} which are in fact the finite abelian groups of symmetric groups called Young subgroups. Furthermore,{} Rubik\\spad{'s} group as permutation group of 48 integers and a list of sporadic simple groups derived from the atlas of finite groups.")) (|youngGroup| (((|PermutationGroup| (|Integer|)) (|Partition|)) "\\spad{youngGroup(lambda)} constructs the direct product of the symmetric groups given by the parts of the partition {\\em lambda}.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{youngGroup([n1,...,nk])} constructs the direct product of the symmetric groups {\\em Sn1},{}...,{}{\\em Snk}.")) (|rubiksGroup| (((|PermutationGroup| (|Integer|))) "\\spad{rubiksGroup constructs} the permutation group representing Rubic\\spad{'s} Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik\\spad{'s} Cube are labelled in the obvious way Front,{} Right,{} Up,{} Down,{} Left,{} Back and numbered from 1 to 6 in this given ordering,{} the pieces on each face (except the unmoveable center piece) are clockwise numbered from 1 to 8 starting with the piece in the upper left corner. The moves of the cube are represented as permutations on these pieces,{} represented as a two digit integer {\\em ij} where \\spad{i} is the numer of theface (1 to 6) and \\spad{j} is the number of the piece on this face. The remaining ambiguities are resolved by looking at the 6 generators,{} which represent a 90 degree turns of the faces,{} or from the following pictorial description. Permutation group representing Rubic\\spad{'s} Cube acting on integers 10*i+j for 1 \\spad{<=} \\spad{i} \\spad{<=} 6,{} 1 \\spad{<=} \\spad{j} \\spad{<=8}. \\blankline\\begin{verbatim}Rubik's Cube: +-----+ +-- B where: marks Side # : / U /|/ / / | F(ront) <-> 1 L --> +-----+ R| R(ight) <-> 2 | | + U(p) <-> 3 | F | / D(own) <-> 4 | |/ L(eft) <-> 5 +-----+ B(ack) <-> 6 ^ | DThe Cube's surface: The pieces on each side +---+ (except the unmoveable center |567| piece) are clockwise numbered |4U8| from 1 to 8 starting with the |321| piece in the upper left +---+---+---+ corner (see figure on the |781|123|345| left). The moves of the cube |6L2|8F4|2R6| are represented as |543|765|187| permutations on these pieces. +---+---+---+ Each of the pieces is |123| represented as a two digit |8D4| integer ij where i is the |765| # of the side ( 1 to 6 for +---+ F to B (see table above )) |567| and j is the # of the piece. |4B8| |321| +---+\\end{verbatim}")) (|janko2| (((|PermutationGroup| (|Integer|))) "\\spad{janko2 constructs} the janko group acting on the integers 1,{}...,{}100.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{janko2(li)} constructs the janko group acting on the 100 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 100 different entries")) (|mathieu24| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu24 constructs} the mathieu group acting on the integers 1,{}...,{}24.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu24(li)} constructs the mathieu group acting on the 24 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 24 different entries.")) (|mathieu23| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu23 constructs} the mathieu group acting on the integers 1,{}...,{}23.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu23(li)} constructs the mathieu group acting on the 23 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 23 different entries.")) (|mathieu22| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu22 constructs} the mathieu group acting on the integers 1,{}...,{}22.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu22(li)} constructs the mathieu group acting on the 22 integers given in the list {\\em li}. Note: duplicates in the list will be removed. Error: if {\\em li} has less or more than 22 different entries.")) (|mathieu12| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu12 constructs} the mathieu group acting on the integers 1,{}...,{}12.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu12(li)} constructs the mathieu group acting on the 12 integers given in the list {\\em li}. Note: duplicates in the list will be removed Error: if {\\em li} has less or more than 12 different entries.")) (|mathieu11| (((|PermutationGroup| (|Integer|))) "\\spad{mathieu11 constructs} the mathieu group acting on the integers 1,{}...,{}11.") (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{mathieu11(li)} constructs the mathieu group acting on the 11 integers given in the list {\\em li}. Note: duplicates in the list will be removed. error,{} if {\\em li} has less or more than 11 different entries.")) (|dihedralGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{dihedralGroup([i1,...,ik])} constructs the dihedral group of order 2k acting on the integers out of {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{dihedralGroup(n)} constructs the dihedral group of order 2n acting on integers 1,{}...,{}\\spad{N}.")) (|cyclicGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{cyclicGroup([i1,...,ik])} constructs the cyclic group of order \\spad{k} acting on the integers {\\em i1},{}...,{}{\\em ik}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{cyclicGroup(n)} constructs the cyclic group of order \\spad{n} acting on the integers 1,{}...,{}\\spad{n}.")) (|abelianGroup| (((|PermutationGroup| (|Integer|)) (|List| (|PositiveInteger|))) "\\spad{abelianGroup([n1,...,nk])} constructs the abelian group that is the direct product of cyclic groups with order {\\em ni}.")) (|alternatingGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{alternatingGroup(li)} constructs the alternating group acting on the integers in the list {\\em li},{} generators are in general the {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is odd and product of the 2-cycle {\\em (li.1,li.2)} with {\\em n-2}-cycle {\\em (li.3,...,li.n)} and the 3-cycle {\\em (li.1,li.2,li.3)},{} if \\spad{n} is even. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{alternatingGroup(n)} constructs the alternating group {\\em An} acting on the integers 1,{}...,{}\\spad{n},{} generators are in general the {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is odd and the product of the 2-cycle {\\em (1,2)} with {\\em n-2}-cycle {\\em (3,...,n)} and the 3-cycle {\\em (1,2,3)} if \\spad{n} is even.")) (|symmetricGroup| (((|PermutationGroup| (|Integer|)) (|List| (|Integer|))) "\\spad{symmetricGroup(li)} constructs the symmetric group acting on the integers in the list {\\em li},{} generators are the cycle given by {\\em li} and the 2-cycle {\\em (li.1,li.2)}. Note: duplicates in the list will be removed.") (((|PermutationGroup| (|Integer|)) (|PositiveInteger|)) "\\spad{symmetricGroup(n)} constructs the symmetric group {\\em Sn} acting on the integers 1,{}...,{}\\spad{n},{} generators are the {\\em n}-cycle {\\em (1,...,n)} and the 2-cycle {\\em (1,2)}."))) NIL NIL -(-937 -1963) +(-937 -2119) ((|constructor| (NIL "Groebner functions for \\spad{P} \\spad{F} \\indented{2}{This package is an interface package to the groebner basis} package which allows you to compute groebner bases for polynomials in either lexicographic ordering or total degree ordering refined by reverse lex. The input is the ordinary polynomial type which is internally converted to a type with the required ordering. The resulting grobner basis is converted back to ordinary polynomials. The ordering among the variables is controlled by an explicit list of variables which is passed as a second argument. The coefficient domain is allowed to be any \\spad{gcd} domain,{} but the groebner basis is computed as if the polynomials were over a field.")) (|totalGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{totalGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} with the terms ordered first by total degree and then refined by reverse lexicographic ordering. The variables are ordered by their position in the list \\spad{lv}.")) (|lexGroebner| (((|List| (|Polynomial| |#1|)) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{lexGroebner(lp,lv)} computes Groebner basis for the list of polynomials \\spad{lp} in lexicographic order. The variables are ordered by their position in the list \\spad{lv}."))) NIL NIL @@ -3692,11 +3692,11 @@ NIL ((|constructor| (NIL "\\spadtype{PositiveInteger} provides functions for \\indented{2}{positive integers.}")) (|commutative| ((|attribute| "*") "\\spad{commutative(\"*\")} means multiplication is commutative : x*y = \\spad{y*x}")) (|gcd| (($ $ $) "\\spad{gcd(a,b)} computes the greatest common divisor of two positive integers \\spad{a} and \\spad{b}."))) (((-4466 "*") . T)) NIL -(-941 -1963 P) +(-941 -2119 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) NIL NIL -(-942 |xx| -1963) +(-942 |xx| -2119) ((|constructor| (NIL "This package exports interpolation algorithms")) (|interpolate| (((|SparseUnivariatePolynomial| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(lf,lg)} \\undocumented") (((|UnivariatePolynomial| |#1| |#2|) (|UnivariatePolynomial| |#1| |#2|) (|List| |#2|) (|List| |#2|)) "\\spad{interpolate(u,lf,lg)} \\undocumented"))) NIL NIL @@ -3720,7 +3720,7 @@ NIL ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) NIL NIL -(-948 R -1963) +(-948 R -2119) ((|constructor| (NIL "Attaching assertions to symbols for pattern matching; Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| ((|#2| |#2|) "\\spad{multiple(x)} tells the pattern matcher that \\spad{x} should preferably match a multi-term quantity in a sum or product. For matching on lists,{} multiple(\\spad{x}) tells the pattern matcher that \\spad{x} should match a list instead of an element of a list. Error: if \\spad{x} is not a symbol.")) (|optional| ((|#2| |#2|) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation). Error: if \\spad{x} is not a symbol.")) (|constant| ((|#2| |#2|) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol \\spad{'x} and no other quantity. Error: if \\spad{x} is not a symbol.")) (|assert| ((|#2| |#2| (|Identifier|)) "\\spad{assert(x, s)} makes the assertion \\spad{s} about \\spad{x}. Error: if \\spad{x} is not a symbol."))) NIL NIL @@ -3732,7 +3732,7 @@ NIL ((|constructor| (NIL "This packages provides tools for matching recursively in type towers.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#2| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches. Note: this function handles type towers by changing the predicates and calling the matching function provided by \\spad{A}.")) (|fixPredicate| (((|Mapping| (|Boolean|) |#2|) (|Mapping| (|Boolean|) |#3|)) "\\spad{fixPredicate(f)} returns \\spad{g} defined by \\spad{g}(a) = \\spad{f}(a::B)."))) NIL NIL -(-951 S R -1963) +(-951 S R -2119) ((|constructor| (NIL "This package provides pattern matching functions on function spaces.")) (|patternMatch| (((|PatternMatchResult| |#1| |#3|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#3|)) "\\spad{patternMatch(expr, pat, res)} matches the pattern \\spad{pat} to the expression \\spad{expr}; res contains the variables of \\spad{pat} which are already matched and their matches."))) NIL NIL @@ -3752,11 +3752,11 @@ NIL ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p, pat, res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p, pat, res, vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -901) (|devaluate| |#1|)))) -(-956 R -1963 -2020) +(-956 R -2119 -3157) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) NIL NIL -(-957 -2020) +(-957 -3157) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x, [f1, f2, ..., fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}."))) NIL NIL @@ -3779,7 +3779,7 @@ NIL (-962 R) ((|constructor| (NIL "This domain implements points in coordinate space"))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-963 |lv| R) ((|constructor| (NIL "Package with the conversion functions among different kind of polynomials")) (|pToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToDmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{DMP}.")) (|dmpToP| (((|Polynomial| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToP(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{POLY}.")) (|hdmpToP| (((|Polynomial| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToP(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{POLY}.")) (|pToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|Polynomial| |#2|)) "\\spad{pToHdmp(p)} converts \\spad{p} from a \\spadtype{POLY} to a \\spadtype{HDMP}.")) (|hdmpToDmp| (((|DistributedMultivariatePolynomial| |#1| |#2|) (|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{hdmpToDmp(p)} converts \\spad{p} from a \\spadtype{HDMP} to a \\spadtype{DMP}.")) (|dmpToHdmp| (((|HomogeneousDistributedMultivariatePolynomial| |#1| |#2|) (|DistributedMultivariatePolynomial| |#1| |#2|)) "\\spad{dmpToHdmp(p)} converts \\spad{p} from a \\spadtype{DMP} to a \\spadtype{HDMP}."))) NIL @@ -3804,7 +3804,7 @@ NIL ((|constructor| (NIL "The category for general multi-variate polynomials over a ring \\spad{R},{} in variables from VarSet,{} with exponents from the \\spadtype{OrderedAbelianMonoidSup}.")) (|canonicalUnitNormal| ((|attribute|) "we can choose a unique representative for each associate class. This normalization is chosen to be normalization of leading coefficient (by default).")) (|squareFreePart| (($ $) "\\spad{squareFreePart(p)} returns product of all the irreducible factors of polynomial \\spad{p} each taken with multiplicity one.")) (|squareFree| (((|Factored| $) $) "\\spad{squareFree(p)} returns the square free factorization of the polynomial \\spad{p}.")) (|primitivePart| (($ $ |#3|) "\\spad{primitivePart(p,v)} returns the unitCanonical associate of the polynomial \\spad{p} with its content with respect to the variable \\spad{v} divided out.") (($ $) "\\spad{primitivePart(p)} returns the unitCanonical associate of the polynomial \\spad{p} with its content divided out.")) (|content| (($ $ |#3|) "\\spad{content(p,v)} is the \\spad{gcd} of the coefficients of the polynomial \\spad{p} when \\spad{p} is viewed as a univariate polynomial with respect to the variable \\spad{v}. Thus,{} for polynomial 7*x**2*y + 14*x*y**2,{} the \\spad{gcd} of the coefficients with respect to \\spad{x} is 7*y.")) (|discriminant| (($ $ |#3|) "\\spad{discriminant(p,v)} returns the disriminant of the polynomial \\spad{p} with respect to the variable \\spad{v}.")) (|resultant| (($ $ $ |#3|) "\\spad{resultant(p,q,v)} returns the resultant of the polynomials \\spad{p} and \\spad{q} with respect to the variable \\spad{v}.")) (|primitiveMonomials| (((|List| $) $) "\\spad{primitiveMonomials(p)} gives the list of monomials of the polynomial \\spad{p} with their coefficients removed. Note: \\spad{primitiveMonomials(sum(a_(i) X^(i))) = [X^(1),...,X^(n)]}.")) (|variables| (((|List| |#3|) $) "\\spad{variables(p)} returns the list of those variables actually appearing in the polynomial \\spad{p}.")) (|totalDegree| (((|NonNegativeInteger|) $ (|List| |#3|)) "\\spad{totalDegree(p, lv)} returns the maximum sum (over all monomials of polynomial \\spad{p}) of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $) "\\spad{totalDegree(p)} returns the largest sum over all monomials of all exponents of a monomial.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#3|) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x, n]} if polynomial \\spad{p} has the form \\spad{x**n} and \\spad{n > 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if polynomial \\spad{p = a1 ... an} and \\spad{n >= 2},{} and,{} for each \\spad{i},{} \\spad{ai} is either a nontrivial constant in \\spad{R} or else of the form \\spad{x**e},{} where \\spad{e > 0} is an integer and \\spad{x} in a member of VarSet.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,...,mn]} if polynomial \\spad{p = m1 + ... + mn} and \\spad{n >= 2} and each \\spad{mi} is a nonzero monomial.")) (|multivariate| (($ (|SparseUnivariatePolynomial| $) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.") (($ (|SparseUnivariatePolynomial| |#1|) |#3|) "\\spad{multivariate(sup,v)} converts an anonymous univariable polynomial \\spad{sup} to a polynomial in the variable \\spad{v}.")) (|monomial| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{monomial(a,[v1..vn],[e1..en])} returns \\spad{a*prod(vi**ei)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{monomial(a,x,n)} creates the monomial \\spad{a*x**n} where \\spad{a} is a polynomial,{} \\spad{x} is a variable and \\spad{n} is a nonnegative integer.")) (|monicDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $ |#3|) "\\spad{monicDivide(a,b,v)} divides the polynomial a by the polynomial \\spad{b},{} with each viewed as a univariate polynomial in \\spad{v} returning both the quotient and remainder. Error: if \\spad{b} is not monic with respect to \\spad{v}.")) (|minimumDegree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{minimumDegree(p, lv)} gives the list of minimum degrees of the polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}") (((|NonNegativeInteger|) $ |#3|) "\\spad{minimumDegree(p,v)} gives the minimum degree of polynomial \\spad{p} with respect to \\spad{v},{} \\spadignore{i.e.} viewed a univariate polynomial in \\spad{v}")) (|mainVariable| (((|Union| |#3| "failed") $) "\\spad{mainVariable(p)} returns the biggest variable which actually occurs in the polynomial \\spad{p},{} or \"failed\" if no variables are present. fails precisely if polynomial satisfies ground?")) (|univariate| (((|SparseUnivariatePolynomial| |#1|) $) "\\spad{univariate(p)} converts the multivariate polynomial \\spad{p},{} which should actually involve only one variable,{} into a univariate polynomial in that variable,{} whose coefficients are in the ground ring. Error: if polynomial is genuinely multivariate") (((|SparseUnivariatePolynomial| $) $ |#3|) "\\spad{univariate(p,v)} converts the multivariate polynomial \\spad{p} into a univariate polynomial in \\spad{v},{} whose coefficients are still multivariate polynomials (in all the other variables).")) (|monomials| (((|List| $) $) "\\spad{monomials(p)} returns the list of non-zero monomials of polynomial \\spad{p},{} \\spadignore{i.e.} \\spad{monomials(sum(a_(i) X^(i))) = [a_(1) X^(1),...,a_(n) X^(n)]}.")) (|coefficient| (($ $ (|List| |#3|) (|List| (|NonNegativeInteger|))) "\\spad{coefficient(p, lv, ln)} views the polynomial \\spad{p} as a polynomial in the variables of \\spad{lv} and returns the coefficient of the term \\spad{lv**ln},{} \\spadignore{i.e.} \\spad{prod(lv_i ** ln_i)}.") (($ $ |#3| (|NonNegativeInteger|)) "\\spad{coefficient(p,v,n)} views the polynomial \\spad{p} as a univariate polynomial in \\spad{v} and returns the coefficient of the \\spad{v**n} term.")) (|degree| (((|List| (|NonNegativeInteger|)) $ (|List| |#3|)) "\\spad{degree(p,lv)} gives the list of degrees of polynomial \\spad{p} with respect to each of the variables in the list \\spad{lv}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,v)} gives the degree of polynomial \\spad{p} with respect to the variable \\spad{v}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) NIL -(-969 E V R P -1963) +(-969 E V R P -2119) ((|constructor| (NIL "This package transforms multivariate polynomials or fractions into univariate polynomials or fractions,{} and back.")) (|isPower| (((|Union| (|Record| (|:| |val| |#5|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isPower(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |var| |#2|) (|:| |exponent| (|Integer|))) "failed") |#5|) "\\spad{isExpt(p)} returns \\spad{[x, n]} if \\spad{p = x**n} and \\spad{n <> 0},{} \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{p = a1 ... an} and \\spad{n > 1},{} \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| |#5|) "failed") |#5|) "\\spad{isPlus(p)} returns [\\spad{m1},{}...,{}\\spad{mn}] if \\spad{p = m1 + ... + mn} and \\spad{n > 1},{} \"failed\" otherwise.")) (|multivariate| ((|#5| (|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#2|) "\\spad{multivariate(f, v)} applies both the numerator and denominator of \\spad{f} to \\spad{v}.")) (|univariate| (((|SparseUnivariatePolynomial| |#5|) |#5| |#2| (|SparseUnivariatePolynomial| |#5|)) "\\spad{univariate(f, x, p)} returns \\spad{f} viewed as a univariate polynomial in \\spad{x},{} using the side-condition \\spad{p(x) = 0}.") (((|Fraction| (|SparseUnivariatePolynomial| |#5|)) |#5| |#2|) "\\spad{univariate(f, v)} returns \\spad{f} viewed as a univariate rational function in \\spad{v}.")) (|mainVariable| (((|Union| |#2| "failed") |#5|) "\\spad{mainVariable(f)} returns the highest variable appearing in the numerator or the denominator of \\spad{f},{} \"failed\" if \\spad{f} has no variables.")) (|variables| (((|List| |#2|) |#5|) "\\spad{variables(f)} returns the list of variables appearing in the numerator or the denominator of \\spad{f}."))) NIL NIL @@ -3815,8 +3815,8 @@ NIL (-971 R) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials whose variables are arbitrary symbols. The ordering is alphabetic determined by the Symbol type. The coefficient ring may be non commutative,{} but the variables are assumed to commute.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(p,x)} computes the integral of \\spad{p*dx},{} \\spadignore{i.e.} integrates the polynomial \\spad{p} with respect to the variable \\spad{x}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-928))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) -(-972 E V R P -1963) +((|HasCategory| |#1| (QUOTE (-928))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1197) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) +(-972 E V R P -2119) ((|constructor| (NIL "computes \\spad{n}-th roots of quotients of multivariate polynomials")) (|nthr| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#4|) (|:| |radicand| (|List| |#4|))) |#4| (|NonNegativeInteger|)) "\\spad{nthr(p,n)} should be local but conditional")) (|froot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#5| (|NonNegativeInteger|)) "\\spad{froot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|qroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) (|Fraction| (|Integer|)) (|NonNegativeInteger|)) "\\spad{qroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|rroot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#5|) (|:| |radicand| |#5|)) |#3| (|NonNegativeInteger|)) "\\spad{rroot(f, n)} returns \\spad{[m,c,r]} such that \\spad{f**(1/n) = c * r**(1/m)}.")) (|denom| ((|#4| $) "\\spad{denom(x)} \\undocumented")) (|numer| ((|#4| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-464)))) @@ -3839,12 +3839,12 @@ NIL (-977 S) ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt\\spad{'s}.} Minimum index is 0 in this type,{} cannot be changed"))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-978) ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f, x = a..b)} returns the formal definite integral of \\spad{f} \\spad{dx} for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f, x)} returns the formal integral of \\spad{f} \\spad{dx}."))) NIL NIL -(-979 -1963) +(-979 -2119) ((|constructor| (NIL "PrimitiveElement provides functions to compute primitive elements in algebraic extensions.")) (|primitiveElement| (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|)) (|Symbol|)) "\\spad{primitiveElement([p1,...,pn], [a1,...,an], a)} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef| (|List| (|Integer|))) (|:| |poly| (|List| (|SparseUnivariatePolynomial| |#1|))) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|List| (|Polynomial| |#1|)) (|List| (|Symbol|))) "\\spad{primitiveElement([p1,...,pn], [a1,...,an])} returns \\spad{[[c1,...,cn], [q1,...,qn], q]} such that then \\spad{k(a1,...,an) = k(a)},{} where \\spad{a = a1 c1 + ... + an cn},{} \\spad{ai = qi(a)},{} and \\spad{q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. This operation uses the technique of \\spadglossSee{groebner bases}{Groebner basis}.") (((|Record| (|:| |coef1| (|Integer|)) (|:| |coef2| (|Integer|)) (|:| |prim| (|SparseUnivariatePolynomial| |#1|))) (|Polynomial| |#1|) (|Symbol|) (|Polynomial| |#1|) (|Symbol|)) "\\spad{primitiveElement(p1, a1, p2, a2)} returns \\spad{[c1, c2, q]} such that \\spad{k(a1, a2) = k(a)} where \\spad{a = c1 a1 + c2 a2, and q(a) = 0}. The \\spad{pi}\\spad{'s} are the defining polynomials for the \\spad{ai}\\spad{'s}. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve a2. This operation uses \\spadfun{resultant}."))) NIL NIL @@ -3859,11 +3859,11 @@ NIL (-982 R E) ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4462))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4462))) (-983 A B) ((|constructor| (NIL "This domain implements cartesian product")) (|selectsecond| ((|#2| $) "\\spad{selectsecond(x)} \\undocumented")) (|selectfirst| ((|#1| $) "\\spad{selectfirst(x)} \\undocumented")) (|makeprod| (($ |#1| |#2|) "\\spad{makeprod(a,b)} \\undocumented"))) ((-4461 -12 (|has| |#2| (-485)) (|has| |#1| (-485)))) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-861))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738))))) (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-379)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-861))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-861))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738))))) (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-379)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-485)))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805))))) (-12 (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#2| (QUOTE (-738)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-132)))) (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-861))))) (-984) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Property' is a pair of name and value.")) (|property| (($ (|Identifier|) (|SExpression|)) "\\spad{property(n,val)} constructs a property with name \\spad{`n'} and value `val'.")) (|value| (((|SExpression|) $) "\\spad{value(p)} returns value of property \\spad{p}")) (|name| (((|Identifier|) $) "\\spad{name(p)} returns the name of property \\spad{p}"))) NIL @@ -3952,7 +3952,7 @@ NIL ((|constructor| (NIL "This package \\undocumented{}")) (|map| ((|#4| (|Mapping| |#4| (|Polynomial| |#1|)) |#4|) "\\spad{map(f,p)} \\undocumented{}")) (|pushup| ((|#4| |#4| (|List| |#3|)) "\\spad{pushup(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushup(p,v)} \\undocumented{}")) (|pushdown| ((|#4| |#4| (|List| |#3|)) "\\spad{pushdown(p,lv)} \\undocumented{}") ((|#4| |#4| |#3|) "\\spad{pushdown(p,v)} \\undocumented{}")) (|variable| (((|Union| $ "failed") (|Symbol|)) "\\spad{variable(s)} makes an element from symbol \\spad{s} or fails")) (|convert| (((|Symbol|) $) "\\spad{convert(x)} converts \\spad{x} to a symbol"))) NIL NIL -(-1006 K R UP -1963) +(-1006 K R UP -2119) ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a monogenic algebra over \\spad{R}. We require that \\spad{F} is monogenic,{} \\spadignore{i.e.} that \\spad{F = K[x,y]/(f(x,y))},{} because the integral basis algorithm used will factor the polynomial \\spad{f(x,y)}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|reducedDiscriminant| ((|#2| |#3|) "\\spad{reducedDiscriminant(up)} \\undocumented")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv] } containing information regarding the integral closure of \\spad{R} in the quotient field of the framed algebra \\spad{F}. \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If 'basis' is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of 'basis' contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix 'basisInv' contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if 'basisInv' is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) NIL NIL @@ -4011,11 +4011,11 @@ NIL (-1020 R) ((|constructor| (NIL "\\spadtype{Quaternion} implements quaternions over a \\indented{2}{commutative ring. The main constructor function is \\spadfun{quatern}} \\indented{2}{which takes 4 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j}} \\indented{2}{imaginary part and the \\spad{k} imaginary part.}"))) ((-4457 |has| |#1| (-300)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-2759 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557)))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-3795 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1197)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-557)))) (-1021 S) ((|constructor| (NIL "Linked List implementation of a Queue")) (|queue| (($ (|List| |#1|)) "\\spad{queue([x,y,...,z])} creates a queue with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last (bottom) element \\spad{z}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1022 S) ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL @@ -4024,14 +4024,14 @@ NIL ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|Fraction| (|Integer|))) "\\spad{x ** y} is the rational exponentiation of \\spad{x} by the power \\spad{y}.")) (|nthRoot| (($ $ (|Integer|)) "\\spad{nthRoot(x,n)} returns the \\spad{n}th root of \\spad{x}.")) (|sqrt| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL NIL -(-1024 -1963 UP UPUP |radicnd| |n|) +(-1024 -2119 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4457 |has| (-419 |#2|) (-374)) (-4462 |has| (-419 |#2|) (-374)) (-4456 |has| (-419 |#2|) (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2759 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2759 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2759 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2759 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2759 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2759 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) +((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-3795 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-3795 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3795 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3795 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-3795 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-3795 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-237))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (-1025 |bb|) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. For example,{} \\spad{fractRadix([1],[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,3,4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,1,4,2,8,5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-2759 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-928))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1043))) (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861))) (-3795 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-861)))) (|HasCategory| (-576) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1173))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1197)) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -319) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -296) (QUOTE (-576)) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-317))) (|HasCategory| (-576) (QUOTE (-557))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-928)))) (|HasCategory| (-576) (QUOTE (-146))))) (-1026) ((|constructor| (NIL "This package provides tools for creating radix expansions.")) (|radix| (((|Any|) (|Fraction| (|Integer|)) (|Integer|)) "\\spad{radix(x,b)} converts \\spad{x} to a radix expansion in base \\spad{b}."))) NIL @@ -4064,19 +4064,19 @@ NIL ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) ((-4457 . T) (-4462 . T) (-4456 . T) (-4459 . T) (-4458 . T) ((-4466 "*") . T) (-4461 . T)) NIL -(-1034 R -1963) +(-1034 R -2119) ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 1 February 1988 Date Last Updated: 2 November 1995 Keywords: elementary,{} function,{} integration.")) (|rischDE| (((|Record| (|:| |ans| |#2|) (|:| |right| |#2|) (|:| |sol?| (|Boolean|))) (|Integer|) |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDE(n, f, g, x, lim, ext)} returns \\spad{[y, h, b]} such that \\spad{dy/dx + n df/dx y = h} and \\spad{b := h = g}. The equation \\spad{dy/dx + n df/dx y = g} has no solution if \\spad{h \\~~= g} (\\spad{y} is a partial solution in that case). Notes: \\spad{lim} is a limited integration function,{} and ext is an extended integration function."))) NIL NIL -(-1035 R -1963) +(-1035 R -2119) ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} elementary case.} Author: Manuel Bronstein Date Created: 12 August 1992 Date Last Updated: 17 August 1992 Keywords: elementary,{} function,{} integration.")) (|rischDEsys| (((|Union| (|List| |#2|) "failed") (|Integer|) |#2| |#2| |#2| (|Symbol|) (|Mapping| (|Union| (|Record| (|:| |mainpart| |#2|) (|:| |limitedlogs| (|List| (|Record| (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (|List| |#2|)) (|Mapping| (|Union| (|Record| (|:| |ratpart| |#2|) (|:| |coeff| |#2|)) "failed") |#2| |#2|)) "\\spad{rischDEsys(n, f, g_1, g_2, x,lim,ext)} returns \\spad{y_1.y_2} such that \\spad{(dy1/dx,dy2/dx) + ((0, - n df/dx),(n df/dx,0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise. \\spad{lim} is a limited integration function,{} \\spad{ext} is an extended integration function."))) NIL NIL -(-1036 -1963 UP) +(-1036 -2119 UP) ((|constructor| (NIL "\\indented{1}{Risch differential equation,{} transcendental case.} Author: Manuel Bronstein Date Created: Jan 1988 Date Last Updated: 2 November 1995")) (|polyRDE| (((|Union| (|:| |ans| (|Record| (|:| |ans| |#2|) (|:| |nosol| (|Boolean|)))) (|:| |eq| (|Record| (|:| |b| |#2|) (|:| |c| |#2|) (|:| |m| (|Integer|)) (|:| |alpha| |#2|) (|:| |beta| |#2|)))) |#2| |#2| |#2| (|Integer|) (|Mapping| |#2| |#2|)) "\\spad{polyRDE(a, B, C, n, D)} returns either: 1. \\spad{[Q, b]} such that \\spad{degree(Q) <= n} and \\indented{3}{\\spad{a Q'+ B Q = C} if \\spad{b = true},{} \\spad{Q} is a partial solution} \\indented{3}{otherwise.} 2. \\spad{[B1, C1, m, \\alpha, \\beta]} such that any polynomial solution \\indented{3}{of degree at most \\spad{n} of \\spad{A Q' + BQ = C} must be of the form} \\indented{3}{\\spad{Q = \\alpha H + \\beta} where \\spad{degree(H) <= m} and} \\indented{3}{\\spad{H} satisfies \\spad{H' + B1 H = C1}.} \\spad{D} is the derivation to use.")) (|baseRDE| (((|Record| (|:| |ans| (|Fraction| |#2|)) (|:| |nosol| (|Boolean|))) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDE(f, g)} returns a \\spad{[y, b]} such that \\spad{y' + fy = g} if \\spad{b = true},{} \\spad{y} is a partial solution otherwise (no solution in that case). \\spad{D} is the derivation to use.")) (|monomRDE| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |c| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDE(f,g,D)} returns \\spad{[A, B, C, T]} such that \\spad{y' + f y = g} has a solution if and only if \\spad{y = Q / T},{} where \\spad{Q} satisfies \\spad{A Q' + B Q = C} and has no normal pole. A and \\spad{T} are polynomials and \\spad{B} and \\spad{C} have no normal poles. \\spad{D} is the derivation to use."))) NIL NIL -(-1037 -1963 UP) +(-1037 -2119 UP) ((|constructor| (NIL "\\indented{1}{Risch differential equation system,{} transcendental case.} Author: Manuel Bronstein Date Created: 17 August 1992 Date Last Updated: 3 February 1994")) (|baseRDEsys| (((|Union| (|List| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|)) "\\spad{baseRDEsys(f, g1, g2)} returns fractions \\spad{y_1.y_2} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} if \\spad{y_1,y_2} exist,{} \"failed\" otherwise.")) (|monomRDEsys| (((|Union| (|Record| (|:| |a| |#2|) (|:| |b| (|Fraction| |#2|)) (|:| |h| |#2|) (|:| |c1| (|Fraction| |#2|)) (|:| |c2| (|Fraction| |#2|)) (|:| |t| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| |#2| |#2|)) "\\spad{monomRDEsys(f,g1,g2,D)} returns \\spad{[A, B, H, C1, C2, T]} such that \\spad{(y1', y2') + ((0, -f), (f, 0)) (y1,y2) = (g1,g2)} has a solution if and only if \\spad{y1 = Q1 / T, y2 = Q2 / T},{} where \\spad{B,C1,C2,Q1,Q2} have no normal poles and satisfy A \\spad{(Q1', Q2') + ((H, -B), (B, H)) (Q1,Q2) = (C1,C2)} \\spad{D} is the derivation to use."))) NIL NIL @@ -4111,8 +4111,8 @@ NIL (-1045 |TheField|) ((|constructor| (NIL "This domain implements the real closure of an ordered field.")) (|relativeApprox| (((|Fraction| (|Integer|)) $ $) "\\axiom{relativeApprox(\\spad{n},{}\\spad{p})} gives a relative approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|mainCharacterization| (((|Union| (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) "failed") $) "\\axiom{mainCharacterization(\\spad{x})} is the main algebraic quantity of \\axiom{\\spad{x}} (\\axiom{SEG})")) (|algebraicOf| (($ (|RightOpenIntervalRootCharacterization| $ (|SparseUnivariatePolynomial| $)) (|OutputForm|)) "\\axiom{algebraicOf(char)} is the external number"))) ((-4457 . T) (-4462 . T) (-4456 . T) (-4459 . T) (-4458 . T) ((-4466 "*") . T) (-4461 . T)) -((-2759 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576))))) -(-1046 -1963 L) +((-3795 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1059) (QUOTE (-576))))) +(-1046 -2119 L) ((|constructor| (NIL "\\spadtype{ReductionOfOrder} provides functions for reducing the order of linear ordinary differential equations once some solutions are known.")) (|ReduceOrder| (((|Record| (|:| |eq| |#2|) (|:| |op| (|List| |#1|))) |#2| (|List| |#1|)) "\\spad{ReduceOrder(op, [f1,...,fk])} returns \\spad{[op1,[g1,...,gk]]} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = gk \\int(g_{k-1} \\int(... \\int(g1 \\int z)...)} is a solution of \\spad{op y = 0}. Each \\spad{fi} must satisfy \\spad{op fi = 0}.") ((|#2| |#2| |#1|) "\\spad{ReduceOrder(op, s)} returns \\spad{op1} such that for any solution \\spad{z} of \\spad{op1 z = 0},{} \\spad{y = s \\int z} is a solution of \\spad{op y = 0}. \\spad{s} must satisfy \\spad{op s = 0}."))) NIL NIL @@ -4148,14 +4148,14 @@ NIL ((|constructor| (NIL "This package provides coercions for the special types \\spadtype{Exit} and \\spadtype{Void}.")) (|coerce| ((|#1| (|Exit|)) "\\spad{coerce(e)} is never really evaluated. This coercion is used for formal type correctness when a function will not return directly to its caller.") (((|Void|) |#1|) "\\spad{coerce(s)} throws all information about \\spad{s} away. This coercion allows values of any type to appear in contexts where they will not be used. For example,{} it allows the resolution of different types in the \\spad{then} and \\spad{else} branches when an \\spad{if} is in a context where the resulting value is not used."))) NIL NIL -(-1055 -1963 |Expon| |VarSet| |FPol| |LFPol|) +(-1055 -2119 |Expon| |VarSet| |FPol| |LFPol|) ((|constructor| (NIL "ResidueRing is the quotient of a polynomial ring by an ideal. The ideal is given as a list of generators. The elements of the domain are equivalence classes expressed in terms of reduced elements")) (|lift| ((|#4| $) "\\spad{lift(x)} return the canonical representative of the equivalence class \\spad{x}")) (|coerce| (($ |#4|) "\\spad{coerce(f)} produces the equivalence class of \\spad{f} in the residue ring")) (|reduce| (($ |#4|) "\\spad{reduce(f)} produces the equivalence class of \\spad{f} in the residue ring"))) (((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL (-1056) ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -4439) (QUOTE (-52))))))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -2905) (QUOTE (-52))))))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-102)))) (-1057) ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) NIL @@ -4212,7 +4212,7 @@ NIL ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) ((-4461 . T)) NIL -(-1071 |xx| -1963) +(-1071 |xx| -2119) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL @@ -4231,7 +4231,7 @@ NIL (-1075 |m| |n| R) ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) ((-4464 . T) (-4459 . T) (-4458 . T)) -((|HasCategory| |#3| (QUOTE (-174))) (-2759 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-876))))) +((|HasCategory| |#3| (QUOTE (-174))) (-3795 (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1121))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-876))))) (-1076 |m| |n| R1 |Row1| |Col1| M1 R2 |Row2| |Col2| M2) ((|constructor| (NIL "\\spadtype{RectangularMatrixCategoryFunctions2} provides functions between two matrix domains. The functions provided are \\spadfun{map} and \\spadfun{reduce}.")) (|reduce| ((|#7| (|Mapping| |#7| |#3| |#7|) |#6| |#7|) "\\spad{reduce(f,m,r)} returns a matrix \\spad{n} where \\spad{n[i,j] = f(m[i,j],r)} for all indices spad{\\spad{i}} and \\spad{j}.")) (|map| ((|#10| (|Mapping| |#7| |#3|) |#6|) "\\spad{map(f,m)} applies the function \\spad{f} to the elements of the matrix \\spad{m}."))) NIL @@ -4267,7 +4267,7 @@ NIL (-1084) ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,routineName,ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,s,newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,s,newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,y)} merges two tables \\spad{x} and \\spad{y}"))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -4439) (QUOTE (-52))))))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-2759 (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 (-1197)) (|:| -4439 (-52))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (QUOTE (-1197))) (LIST (QUOTE |:|) (QUOTE -2905) (QUOTE (-52))))))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1121))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-1121))) (|HasCategory| (-1197) (QUOTE (-861))) (|HasCategory| (-52) (QUOTE (-1121))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876))))) (-3795 (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-102))) (|HasCategory| (-52) (QUOTE (-102)))) (|HasCategory| (-52) (QUOTE (-102))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 (-1197)) (|:| -2905 (-52))) (QUOTE (-102)))) (-1085 S R E V) ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) NIL @@ -4316,11 +4316,11 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1097 |Base| R -1963) +(-1097 |Base| R -2119) ((|constructor| (NIL "\\indented{1}{Rules for the pattern matcher} Author: Manuel Bronstein Date Created: 24 Oct 1988 Date Last Updated: 26 October 1993 Keywords: pattern,{} matching,{} rule.")) (|quotedOperators| (((|List| (|Symbol|)) $) "\\spad{quotedOperators(r)} returns the list of operators on the right hand side of \\spad{r} that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies the rule \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rhs| ((|#3| $) "\\spad{rhs(r)} returns the right hand side of the rule \\spad{r}.")) (|lhs| ((|#3| $) "\\spad{lhs(r)} returns the left hand side of the rule \\spad{r}.")) (|pattern| (((|Pattern| |#1|) $) "\\spad{pattern(r)} returns the pattern corresponding to the left hand side of the rule \\spad{r}.")) (|suchThat| (($ $ (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#3|))) "\\spad{suchThat(r, [a1,...,an], f)} returns the rewrite rule \\spad{r} with the predicate \\spad{f(a1,...,an)} attached to it.")) (|rule| (($ |#3| |#3| (|List| (|Symbol|))) "\\spad{rule(f, g, [f1,...,fn])} creates the rewrite rule \\spad{f == eval(eval(g, g is f), [f1,...,fn])},{} that is a rule with left-hand side \\spad{f} and right-hand side \\spad{g}; The symbols \\spad{f1},{}...,{}\\spad{fn} are the operators that are considered quoted,{} that is they are not evaluated during any rewrite,{} but just applied formally to their arguments.") (($ |#3| |#3|) "\\spad{rule(f, g)} creates the rewrite rule: \\spad{f == eval(g, g is f)},{} with left-hand side \\spad{f} and right-hand side \\spad{g}."))) NIL NIL -(-1098 |Base| R -1963) +(-1098 |Base| R -2119) ((|constructor| (NIL "A ruleset is a set of pattern matching rules grouped together.")) (|elt| ((|#3| $ |#3| (|PositiveInteger|)) "\\spad{elt(r,f,n)} or \\spad{r}(\\spad{f},{} \\spad{n}) applies all the rules of \\spad{r} to \\spad{f} at most \\spad{n} times.")) (|rules| (((|List| (|RewriteRule| |#1| |#2| |#3|)) $) "\\spad{rules(r)} returns the rules contained in \\spad{r}.")) (|ruleset| (($ (|List| (|RewriteRule| |#1| |#2| |#3|))) "\\spad{ruleset([r1,...,rn])} creates the rule set \\spad{{r1,...,rn}}."))) NIL NIL @@ -4335,7 +4335,7 @@ NIL (-1101 R UP M) ((|constructor| (NIL "Domain which represents simple algebraic extensions of arbitrary rings. The first argument to the domain,{} \\spad{R},{} is the underlying ring,{} the second argument is a domain of univariate polynomials over \\spad{K},{} while the last argument specifies the defining minimal polynomial. The elements of the domain are canonically represented as polynomials of degree less than that of the minimal polynomial with coefficients in \\spad{R}. The second argument is both the type of the third argument and the underlying representation used by \\spadtype{SAE} itself."))) ((-4457 |has| |#1| (-374)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -919) (QUOTE (-1197))))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))))) (-1102 UP SAE UPA) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of \\spadtype{Fraction Polynomial Integer}.")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) NIL @@ -4363,7 +4363,7 @@ NIL (-1108 R) ((|constructor| (NIL "\\spadtype{SequentialDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is sequential. \\blankline"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . 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A sequential ranking is a ranking \\spadfun{<} of the derivatives with the property that for any derivative \\spad{v},{} there are only a finite number of derivatives \\spad{u} with \\spad{u} \\spadfun{<} \\spad{v}. This domain belongs to \\spadtype{DifferentialVariableCategory}. It defines \\spadfun{weight} to be just \\spadfun{order},{} and it defines a sequential ranking \\spadfun{<} on derivatives \\spad{u} by the lexicographic order on the pair (\\spadfun{variable}(\\spad{u}),{} \\spadfun{order}(\\spad{u}))."))) NIL @@ -4423,7 +4423,7 @@ NIL (-1123 S) ((|constructor| (NIL "A set over a domain \\spad{D} models the usual mathematical notion of a finite set of elements from \\spad{D}. Sets are unordered collections of distinct elements (that is,{} order and duplication does not matter). The notation \\spad{set [a,b,c]} can be used to create a set and the usual operations such as union and intersection are available to form new sets. 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(|#| (((|Integer|) $) "\\spad{\\#((a1,...,an))} returns \\spad{n}.")) (|cdr| (($ $) "\\spad{cdr((a1,...,an))} returns \\spad{(a2,...,an)}.")) (|car| (($ $) "\\spad{car((a1,...,an))} returns a1.")) (|expr| ((|#5| $) "\\spad{expr(s)} returns \\spad{s} as an element of Expr; Error: if \\spad{s} is not an atom that also belongs to Expr.")) (|float| ((|#4| $) "\\spad{float(s)} returns \\spad{s} as an element of \\spad{Flt}; Error: if \\spad{s} is not an atom that also belongs to \\spad{Flt}.")) (|integer| ((|#3| $) "\\spad{integer(s)} returns \\spad{s} as an element of Int. Error: if \\spad{s} is not an atom that also belongs to Int.")) (|symbol| ((|#2| $) "\\spad{symbol(s)} returns \\spad{s} as an element of \\spad{Sym}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Sym}.")) (|string| ((|#1| $) "\\spad{string(s)} returns \\spad{s} as an element of \\spad{Str}. Error: if \\spad{s} is not an atom that also belongs to \\spad{Str}.")) (|destruct| (((|List| $) $) "\\spad{destruct((a1,...,an))} returns the list [a1,{}...,{}an].")) (|float?| (((|Boolean|) $) "\\spad{float?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Flt}.")) (|integer?| (((|Boolean|) $) "\\spad{integer?(s)} is \\spad{true} if \\spad{s} is an atom and belong to Int.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Sym}.")) (|string?| (((|Boolean|) $) "\\spad{string?(s)} is \\spad{true} if \\spad{s} is an atom and belong to \\spad{Str}.")) (|list?| (((|Boolean|) $) "\\spad{list?(s)} is \\spad{true} if \\spad{s} is a Lisp list,{} possibly ().")) (|pair?| (((|Boolean|) $) "\\spad{pair?(s)} is \\spad{true} if \\spad{s} has is a non-null Lisp list.")) (|atom?| (((|Boolean|) $) "\\spad{atom?(s)} is \\spad{true} if \\spad{s} is a Lisp atom.")) (|null?| (((|Boolean|) $) "\\spad{null?(s)} is \\spad{true} if \\spad{s} is the \\spad{S}-expression ().")) 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|#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtMultiple(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|countRealRoots| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRoots(p)} says how many real roots \\spad{p} has")) (|SturmHabicht| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabicht(p1,p2)} computes \\spad{c_}{+}\\spad{-c_}{-} where \\spad{c_}{+} is the number of real roots of \\spad{p1} with p2>0 and \\spad{c_}{-} is the number of real roots of \\spad{p1} with p2<0. If p2=1 what you get is the number of real roots of \\spad{p1}.")) (|SturmHabichtCoefficients| (((|List| |#1|) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtCoefficients(p1,p2)} computes the principal Sturm-Habicht coefficients of \\spad{p1} and \\spad{p2}")) (|SturmHabichtSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{SturmHabichtSequence(p1,p2)} computes the Sturm-Habicht sequence of \\spad{p1} and \\spad{p2}")) (|subresultantSequence| (((|List| (|UnivariatePolynomial| |#2| |#1|)) (|UnivariatePolynomial| |#2| |#1|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{subresultantSequence(p1,p2)} computes the (standard) subresultant sequence of \\spad{p1} and \\spad{p2}"))) NIL @@ -4476,7 +4476,7 @@ NIL ((|constructor| (NIL "This domain represents a signature AST. A signature AST \\indented{2}{is a description of an exported operation,{} \\spadignore{e.g.} its name,{} result} \\indented{2}{type,{} and the list of its argument types.}")) (|signature| (((|Signature|) $) "\\spad{signature(s)} returns AST of the declared signature for \\spad{`s'}.")) (|name| (((|Identifier|) $) "\\spad{name(s)} returns the name of the signature \\spad{`s'}.")) (|signatureAst| (($ (|Identifier|) (|Signature|)) "\\spad{signatureAst(n,s,t)} builds the signature AST \\spad{n:} \\spad{s} \\spad{->} \\spad{t}"))) NIL NIL -(-1137 R -1963) +(-1137 R -2119) ((|constructor| (NIL "This package provides functions to determine the sign of an elementary function around a point or infinity.")) (|sign| (((|Union| (|Integer|) "failed") |#2| (|Symbol|) |#2| (|String|)) "\\spad{sign(f, x, a, s)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a} from below if \\spad{s} is \"left\",{} or above if \\spad{s} is \"right\".") (((|Union| (|Integer|) "failed") |#2| (|Symbol|) (|OrderedCompletion| |#2|)) "\\spad{sign(f, x, a)} returns the sign of \\spad{f} as \\spad{x} nears \\spad{a},{} from both sides if \\spad{a} is finite.") (((|Union| (|Integer|) "failed") |#2|) "\\spad{sign(f)} returns the sign of \\spad{f} if it is constant everywhere."))) NIL NIL @@ -4515,16 +4515,16 @@ NIL (-1146 R |VarSet|) ((|constructor| (NIL "\\indented{2}{This type is the basic representation of sparse recursive multivariate} polynomials. It is parameterized by the coefficient ring and the variable set which may be infinite. The variable ordering is determined by the variable set parameter. The coefficient ring may be non-commutative,{} but the variables are assumed to commute."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-928))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-928))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4462)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-928)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1147 |Coef| |Var| SMP) ((|constructor| (NIL "This domain provides multivariate Taylor series with variables from an arbitrary ordered set. A Taylor series is represented by a stream of polynomials from the polynomial domain \\spad{SMP}. The \\spad{n}th element of the stream is a form of degree \\spad{n}. SMTS is an internal domain.")) (|fintegrate| (($ (|Mapping| $) |#2| |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ |#2| |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|csubst| (((|Mapping| (|Stream| |#3|) |#3|) (|List| |#2|) (|List| (|Stream| |#3|))) "\\spad{csubst(a,b)} is for internal use only")) (* (($ |#3| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial \\spad{SMP}.")) (|coerce| (($ |#3|) "\\spad{coerce(poly)} regroups the terms by total degree and forms a series.") (($ |#2|) "\\spad{coerce(var)} converts a variable to a Taylor series")) (|coefficient| ((|#3| $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) (-1148 R E V P) ((|constructor| (NIL "The category of square-free and normalized triangular sets. Thus,{} up to the primitivity axiom of [1],{} these sets are Lazard triangular sets.\\newline References : \\indented{1}{[1] \\spad{D}. LAZARD \"A new method for solving algebraic systems of} \\indented{5}{positive dimension\" Discr. App. Math. 33:147-160,{}1991}"))) ((-4465 . T) (-4464 . T)) NIL -(-1149 UP -1963) +(-1149 UP -2119) ((|constructor| (NIL "This package factors the formulas out of the general solve code,{} allowing their recursive use over different domains. Care is taken to introduce few radicals so that radical extension domains can more easily simplify the results.")) (|aQuartic| ((|#2| |#2| |#2| |#2| |#2| |#2|) "\\spad{aQuartic(f,g,h,i,k)} \\undocumented")) (|aCubic| ((|#2| |#2| |#2| |#2| |#2|) "\\spad{aCubic(f,g,h,j)} \\undocumented")) (|aQuadratic| ((|#2| |#2| |#2| |#2|) "\\spad{aQuadratic(f,g,h)} \\undocumented")) (|aLinear| ((|#2| |#2| |#2|) "\\spad{aLinear(f,g)} \\undocumented")) (|quartic| (((|List| |#2|) |#2| |#2| |#2| |#2| |#2|) "\\spad{quartic(f,g,h,i,j)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quartic(u)} \\undocumented")) (|cubic| (((|List| |#2|) |#2| |#2| |#2| |#2|) "\\spad{cubic(f,g,h,i)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{cubic(u)} \\undocumented")) (|quadratic| (((|List| |#2|) |#2| |#2| |#2|) "\\spad{quadratic(f,g,h)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{quadratic(u)} \\undocumented")) (|linear| (((|List| |#2|) |#2| |#2|) "\\spad{linear(f,g)} \\undocumented") (((|List| |#2|) |#1|) "\\spad{linear(u)} \\undocumented")) (|mapSolve| (((|Record| (|:| |solns| (|List| |#2|)) (|:| |maps| (|List| (|Record| (|:| |arg| |#2|) (|:| |res| |#2|))))) |#1| (|Mapping| |#2| |#2|)) "\\spad{mapSolve(u,f)} \\undocumented")) (|particularSolution| ((|#2| |#1|) "\\spad{particularSolution(u)} \\undocumented")) (|solve| (((|List| |#2|) |#1|) "\\spad{solve(u)} \\undocumented"))) NIL NIL @@ -4579,11 +4579,11 @@ NIL (-1162 V C) ((|constructor| (NIL "This domain exports a modest implementation of splitting trees. Spliiting trees are needed when the evaluation of some quantity under some hypothesis requires to split the hypothesis into sub-cases. For instance by adding some new hypothesis on one hand and its negation on another hand. The computations are terminated is a splitting tree \\axiom{a} when \\axiom{status(value(a))} is \\axiom{\\spad{true}}. Thus,{} if for the splitting tree \\axiom{a} the flag \\axiom{status(value(a))} is \\axiom{\\spad{true}},{} then \\axiom{status(value(\\spad{d}))} is \\axiom{\\spad{true}} for any subtree \\axiom{\\spad{d}} of \\axiom{a}. This property of splitting trees is called the termination condition. If no vertex in a splitting tree \\axiom{a} is equal to another,{} \\axiom{a} is said to satisfy the no-duplicates condition. The splitting tree \\axiom{a} will satisfy this condition if nodes are added to \\axiom{a} by mean of \\axiom{splitNodeOf!} and if \\axiom{construct} is only used to create the root of \\axiom{a} with no children.")) (|splitNodeOf!| (($ $ $ (|List| (|SplittingNode| |#1| |#2|)) (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls},{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not subNodeOf?(\\spad{s},{}a,{}sub?)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.") (($ $ $ (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{splitNodeOf!(\\spad{l},{}a,{}\\spad{ls})} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls} | not nodeOf?(\\spad{s},{}a)]}. Thus,{} if \\axiom{\\spad{l}} is not a node of \\axiom{a},{} this latter splitting tree is unchanged.")) (|remove!| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove!(\\spad{s},{}a)} replaces a by remove(\\spad{s},{}a)")) (|remove| (($ (|SplittingNode| |#1| |#2|) $) "\\axiom{remove(\\spad{s},{}a)} returns the splitting tree obtained from a by removing every sub-tree \\axiom{\\spad{b}} such that \\axiom{value(\\spad{b})} and \\axiom{\\spad{s}} have the same value,{} condition and status.")) (|subNodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $ (|Mapping| (|Boolean|) |#2| |#2|)) "\\axiom{subNodeOf?(\\spad{s},{}a,{}sub?)} returns \\spad{true} iff for some node \\axiom{\\spad{n}} in \\axiom{a} we have \\axiom{\\spad{s} = \\spad{n}} or \\axiom{status(\\spad{n})} and \\axiom{subNode?(\\spad{s},{}\\spad{n},{}sub?)}.")) (|nodeOf?| (((|Boolean|) (|SplittingNode| |#1| |#2|) $) "\\axiom{nodeOf?(\\spad{s},{}a)} returns \\spad{true} iff some node of \\axiom{a} is equal to \\axiom{\\spad{s}}")) (|result| (((|List| (|Record| (|:| |val| |#1|) (|:| |tower| |#2|))) $) "\\axiom{result(a)} where \\axiom{\\spad{ls}} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$\\spad{VT} for \\spad{s} in \\spad{ls}]} if the computations are terminated in \\axiom{a} else an error is produced.")) (|conditions| (((|List| |#2|) $) "\\axiom{conditions(a)} returns the list of the conditions of the leaves of a")) (|construct| (($ |#1| |#2| |#1| (|List| |#2|)) "\\axiom{construct(\\spad{v1},{}\\spad{t},{}\\spad{v2},{}\\spad{lt})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[[\\spad{v},{}\\spad{t}]\\$\\spad{S}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}\\spad{ls})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with children list given by \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in \\spad{ls}]}.") (($ |#1| |#2| (|List| $)) "\\axiom{construct(\\spad{v},{}\\spad{t},{}la)} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{[\\spad{v},{}\\spad{t}]\\$\\spad{S}} and with \\axiom{la} as children list.") (($ (|SplittingNode| |#1| |#2|)) "\\axiom{construct(\\spad{s})} creates a splitting tree with value (\\spadignore{i.e.} root vertex) given by \\axiom{\\spad{s}} and no children. Thus,{} if the status of \\axiom{\\spad{s}} is \\spad{false},{} \\axiom{[\\spad{s}]} represents the starting point of the evaluation \\axiom{value(\\spad{s})} under the hypothesis \\axiom{condition(\\spad{s})}.")) (|updateStatus!| (($ $) "\\axiom{updateStatus!(a)} returns a where the status of the vertices are updated to satisfy the \"termination condition\".")) (|extractSplittingLeaf| (((|Union| $ "failed") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))) (-2759 (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (-2759 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))))) (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102)))) +((-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))) (-3795 (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121)))) (-3795 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (-12 (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1161) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-1121))))) (|HasCategory| (-1161 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-1161 |#1| |#2|) (QUOTE (-102)))) (-1163 |ndim| R) ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|Matrix| |#2|)) "\\spad{squareMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spadtype{SquareMatrix}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.")) (|new| (($ |#2|) "\\spad{new(c)} constructs a new \\spadtype{SquareMatrix} object of dimension \\spad{ndim} with initial entries equal to \\spad{c}."))) ((-4461 . T) (-4453 |has| |#2| (-6 (-4466 "*"))) (-4464 . T) (-4458 . T) (-4459 . T)) -((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (-2759 (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-374))) (-3795 (|HasAttribute| |#2| (QUOTE (-4466 "*"))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-1164 S) ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,t,i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,t,i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,i..j,t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,t,c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,s,wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,t,i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) NIL @@ -4603,7 +4603,7 @@ NIL (-1168 S) ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|List| |#1|)) "\\spad{stack([x,y,...,z])} creates a stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}."))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1169 A S) ((|constructor| (NIL "A stream aggregate is a linear aggregate which possibly has an infinite number of elements. A basic domain constructor which builds stream aggregates is \\spadtype{Stream}. From streams,{} a number of infinite structures such power series can be built. A stream aggregate may also be infinite since it may be cyclic. For example,{} see \\spadtype{DecimalExpansion}.")) (|possiblyInfinite?| (((|Boolean|) $) "\\spad{possiblyInfinite?(s)} tests if the stream \\spad{s} could possibly have an infinite number of elements. Note: for many datatypes,{} \\axiom{possiblyInfinite?(\\spad{s}) = not explictlyFinite?(\\spad{s})}.")) (|explicitlyFinite?| (((|Boolean|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note: for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) NIL @@ -4615,7 +4615,7 @@ NIL (-1171 |Key| |Ent| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) ((-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4439) (|devaluate| |#2|)))))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121)))) +((-12 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2905) (|devaluate| |#2|)))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121)))) (-1172) ((|constructor| (NIL "This domain represents an arithmetic progression iterator syntax.")) (|step| (((|SpadAst|) $) "\\spad{step(i)} returns the Spad AST denoting the step of the arithmetic progression represented by the iterator \\spad{i}.")) (|upperBound| (((|Maybe| (|SpadAst|)) $) "If the set of values assumed by the iteration variable is bounded from above,{} \\spad{upperBound(i)} returns the upper bound. Otherwise,{} its returns \\spad{nothing}.")) (|lowerBound| (((|SpadAst|) $) "\\spad{lowerBound(i)} returns the lower bound on the values assumed by the iteration variable.")) (|iterationVar| (((|Identifier|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}."))) NIL @@ -4643,15 +4643,15 @@ NIL (-1178 S) ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterUntil(p,s)} returns \\spad{[x0,x1,...,x(n)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = true}.")) (|filterWhile| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{filterWhile(p,s)} returns \\spad{[x0,x1,...,x(n-1)]} where \\spad{s = [x0,x1,x2,..]} and \\spad{n} is the smallest index such that \\spad{p(xn) = false}.")) (|generate| (($ (|Mapping| |#1| |#1|) |#1|) "\\spad{generate(f,x)} creates an infinite stream whose first element is \\spad{x} and whose \\spad{n}th element (\\spad{n > 1}) is \\spad{f} applied to the previous element. Note: \\spad{generate(f,x) = [x,f(x),f(f(x)),...]}.") (($ (|Mapping| |#1|)) "\\spad{generate(f)} creates an infinite stream all of whose elements are equal to \\spad{f()}. Note: \\spad{generate(f) = [f(),f(),f(),...]}.")) (|setrest!| (($ $ (|Integer|) $) "\\spad{setrest!(x,n,y)} sets rest(\\spad{x},{}\\spad{n}) to \\spad{y}. The function will expand cycles if necessary.")) (|showAll?| (((|Boolean|)) "\\spad{showAll?()} returns \\spad{true} if all computed entries of streams will be displayed.")) (|showAllElements| (((|OutputForm|) $) "\\spad{showAllElements(s)} creates an output form which displays all computed elements.")) (|output| (((|Void|) (|Integer|) $) "\\spad{output(n,st)} computes and displays the first \\spad{n} entries of \\spad{st}.")) (|cons| (($ |#1| $) "\\spad{cons(a,s)} returns a stream whose \\spad{first} is \\spad{a} and whose \\spad{rest} is \\spad{s}. Note: \\spad{cons(a,s) = concat(a,s)}.")) (|delay| (($ (|Mapping| $)) "\\spad{delay(f)} creates a stream with a lazy evaluation defined by function \\spad{f}. Caution: This function can only be called in compiled code.")) (|findCycle| (((|Record| (|:| |cycle?| (|Boolean|)) (|:| |prefix| (|NonNegativeInteger|)) (|:| |period| (|NonNegativeInteger|))) (|NonNegativeInteger|) $) "\\spad{findCycle(n,st)} determines if \\spad{st} is periodic within \\spad{n}.")) (|repeating?| (((|Boolean|) (|List| |#1|) $) "\\spad{repeating?(l,s)} returns \\spad{true} if a stream \\spad{s} is periodic with period \\spad{l},{} and \\spad{false} otherwise.")) (|repeating| (($ (|List| |#1|)) "\\spad{repeating(l)} is a repeating stream whose period is the list \\spad{l}.")) (|shallowlyMutable| ((|attribute|) "one may destructively alter a stream by assigning new values to its entries."))) ((-4465 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1179) ((|string| (($ (|DoubleFloat|)) "\\spad{string f} returns the decimal representation of \\spad{f} in a string") (($ (|Integer|)) "\\spad{string i} returns the decimal representation of \\spad{i} in a string"))) ((-4465 . 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(|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,r,g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,a1,..],[b0,b1,..])} returns \\spad{[a0/b0,a1/b1,..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,0>,b<0,1>,...],[b<1,0>,b<1,1>,.],...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,j=0 to infinity,b<i,j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,[a0,a1,a2,...]) = [a,a0,a1/2,a2/3,...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,b,st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,b,st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,0>,a<0,1>,..],[a<1,0>,a<1,1>,..],[a<2,0>,a<2,1>,..],..]} and \\spad{addiag(x) = [b<0,b<1>,...], then b<k> = sum(i+j=k,a<i,j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient should be invertible.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,[a0,a1,a2,..])} returns \\spad{[f(0)*a0,f(1)*a1,f(2)*a2,..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,a1,a2,...])} returns \\spad{[a1,2 a2,3 a3,...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,a1,..],[b0,b1,..])} returns \\spad{[a0*b0,a1*b1,..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,n+2,n+4,...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,n+1,n+2,...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by \\spad{r:} \\spad{[a0,a1,...] * r = [a0 * r,a1 * r,...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,a1,...] = [r * a0,r * a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and \\spad{b:} \\spad{[a0,a1,...] * [b0,b1,...] = [c0,c1,...]} where \\spad{ck = sum(i + j = k,ai * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,a1,...] = [- a0,- a1,...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] - [b0,b1,..] = [a0 - b0,a1 - b1,..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,a1,..] + [b0,b1,..] = [a0 + b0,a1 + b1,..]}"))) NIL @@ -4682,9 +4682,9 @@ NIL NIL (-1188 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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(|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n), n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n), n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) NIL NIL @@ -4703,15 +4703,15 @@ NIL (-1193 R) ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,var)} converts the SparseUnivariatePolynomial \\spad{p} to an output form (see \\spadtype{OutputForm}) printed as a polynomial in the output form variable."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4462 |has| |#1| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . 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We may integrate a series when we can divide coefficients by integers."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2759 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4160) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -4113) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1759) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1584) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) (-1195 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . 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(NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}"))) NIL @@ -4727,7 +4727,7 @@ NIL (-1199 R) ((|constructor| (NIL "This domain implements symmetric polynomial"))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-6 -4462)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2759 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-992) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4462))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3795 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-992) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4462))) (-1200) ((|constructor| (NIL "Creates and manipulates one global symbol table for FORTRAN code generation,{} containing details of types,{} dimensions,{} and argument lists.")) (|symbolTableOf| (((|SymbolTable|) (|Symbol|) $) "\\spad{symbolTableOf(f,tab)} returns the symbol table of \\spad{f}")) (|argumentListOf| (((|List| (|Symbol|)) (|Symbol|) $) "\\spad{argumentListOf(f,tab)} returns the argument list of \\spad{f}")) (|returnTypeOf| (((|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) (|Symbol|) $) "\\spad{returnTypeOf(f,tab)} returns the type of the object returned by \\spad{f}")) (|empty| (($) "\\spad{empty()} creates a new,{} empty symbol table.")) (|printTypes| (((|Void|) (|Symbol|)) "\\spad{printTypes(tab)} produces FORTRAN type declarations from \\spad{tab},{} on the current FORTRAN output stream")) (|printHeader| (((|Void|)) "\\spad{printHeader()} produces the FORTRAN header for the current subprogram in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|)) "\\spad{printHeader(f)} produces the FORTRAN header for subprogram \\spad{f} in the global symbol table on the current FORTRAN output stream.") (((|Void|) (|Symbol|) $) "\\spad{printHeader(f,tab)} produces the FORTRAN header for subprogram \\spad{f} in symbol table \\spad{tab} on the current FORTRAN output stream.")) (|returnType!| (((|Void|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(t)} declares that the return type of he current subprogram in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void"))) "\\spad{returnType!(f,t)} declares that the return type of subprogram \\spad{f} in the global symbol table is \\spad{t}.") (((|Void|) (|Symbol|) (|Union| (|:| |fst| (|FortranScalarType|)) (|:| |void| "void")) $) "\\spad{returnType!(f,t,tab)} declares that the return type of subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{t}.")) (|argumentList!| (((|Void|) (|List| (|Symbol|))) "\\spad{argumentList!(l)} declares that the argument list for the current subprogram in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|))) "\\spad{argumentList!(f,l)} declares that the argument list for subprogram \\spad{f} in the global symbol table is \\spad{l}.") (((|Void|) (|Symbol|) (|List| (|Symbol|)) $) "\\spad{argumentList!(f,l,tab)} declares that the argument list for subprogram \\spad{f} in symbol table \\spad{tab} is \\spad{l}.")) (|endSubProgram| (((|Symbol|)) "\\spad{endSubProgram()} asserts that we are no longer processing the current subprogram.")) (|currentSubProgram| (((|Symbol|)) "\\spad{currentSubProgram()} returns the name of the current subprogram being processed")) (|newSubProgram| (((|Void|) (|Symbol|)) "\\spad{newSubProgram(f)} asserts that from now on type declarations are part of subprogram \\spad{f}.")) (|declare!| (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|)) "\\spad{declare!(u,t,asp)} declares the parameter \\spad{u} to have type \\spad{t} in \\spad{asp}.") (((|FortranType|) (|Symbol|) (|FortranType|)) "\\spad{declare!(u,t)} declares the parameter \\spad{u} to have type \\spad{t} in the current level of the symbol table.") (((|FortranType|) (|List| (|Symbol|)) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameters \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.") (((|FortranType|) (|Symbol|) (|FortranType|) (|Symbol|) $) "\\spad{declare!(u,t,asp,tab)} declares the parameter \\spad{u} of subprogram \\spad{asp} to have type \\spad{t} in symbol table \\spad{tab}.")) (|clearTheSymbolTable| (((|Void|) (|Symbol|)) "\\spad{clearTheSymbolTable(x)} removes the symbol \\spad{x} from the table") (((|Void|)) "\\spad{clearTheSymbolTable()} clears the current symbol table.")) (|showTheSymbolTable| (($) "\\spad{showTheSymbolTable()} returns the current symbol table."))) NIL @@ -4771,7 +4771,7 @@ NIL (-1210 |Key| |Entry|) ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) ((-4464 . T) (-4465 . T)) -((-12 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4300) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -4439) (|devaluate| |#2|)))))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-2759 (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2240) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -2905) (|devaluate| |#2|)))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1121)))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#2| (QUOTE (-1121))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876))))) (-3795 (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (QUOTE (-102)))) (-1211 S) ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: April 17,{} 2010 Date Last Modified: April 17,{} 2010")) (|operator| (($ |#1| (|Arity|)) "\\spad{operator(n,a)} returns an operator named \\spad{n} and with arity \\spad{a}."))) NIL @@ -4827,7 +4827,7 @@ NIL (-1224 S) ((|constructor| (NIL "\\spadtype{Tree(S)} is a basic domains of tree structures. Each tree is either empty or else is a {\\it node} consisting of a value and a list of (sub)trees.")) (|cyclicParents| (((|List| $) $) "\\spad{cyclicParents(t)} returns a list of cycles that are parents of \\spad{t}.")) (|cyclicEqual?| (((|Boolean|) $ $) "\\spad{cyclicEqual?(t1, t2)} tests of two cyclic trees have the same structure.")) (|cyclicEntries| (((|List| $) $) "\\spad{cyclicEntries(t)} returns a list of top-level cycles in tree \\spad{t}.")) (|cyclicCopy| (($ $) "\\spad{cyclicCopy(l)} makes a copy of a (possibly) cyclic tree \\spad{l}.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(t)} tests if \\spad{t} is a cyclic tree.")) (|tree| (($ |#1|) "\\spad{tree(nd)} creates a tree with value \\spad{nd},{} and no children") (($ (|List| |#1|)) "\\spad{tree(ls)} creates a tree from a list of elements of \\spad{s}.") (($ |#1| (|List| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) ((-4465 . T) (-4464 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1121))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1121)))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1225 S) ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL @@ -4836,7 +4836,7 @@ NIL ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL NIL -(-1227 R -1963) +(-1227 R -2119) ((|constructor| (NIL "\\spadtype{TrigonometricManipulations} provides transformations from trigonometric functions to complex exponentials and logarithms,{} and back.")) (|complexForm| (((|Complex| |#2|) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| ((|#2| |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| ((|#2| |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -4844,7 +4844,7 @@ NIL ((|constructor| (NIL "This package provides functions that compute \"fraction-free\" inverses of upper and lower triangular matrices over a integral domain. By \"fraction-free inverses\" we mean the following: given a matrix \\spad{B} with entries in \\spad{R} and an element \\spad{d} of \\spad{R} such that \\spad{d} * inv(\\spad{B}) also has entries in \\spad{R},{} we return \\spad{d} * inv(\\spad{B}). Thus,{} it is not necessary to pass to the quotient field in any of our computations.")) (|LowTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{LowTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular lower triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}.")) (|UpTriBddDenomInv| ((|#4| |#4| |#1|) "\\spad{UpTriBddDenomInv(B,d)} returns \\spad{M},{} where \\spad{B} is a non-singular upper triangular matrix and \\spad{d} is an element of \\spad{R} such that \\spad{M = d * inv(B)} has entries in \\spad{R}."))) NIL NIL -(-1229 R -1963) +(-1229 R -2119) ((|constructor| (NIL "TranscendentalManipulations provides functions to simplify and expand expressions involving transcendental operators.")) (|expandTrigProducts| ((|#2| |#2|) "\\spad{expandTrigProducts(e)} replaces \\axiom{sin(\\spad{x})*sin(\\spad{y})} by \\spad{(cos(x-y)-cos(x+y))/2},{} \\axiom{cos(\\spad{x})*cos(\\spad{y})} by \\spad{(cos(x-y)+cos(x+y))/2},{} and \\axiom{sin(\\spad{x})*cos(\\spad{y})} by \\spad{(sin(x-y)+sin(x+y))/2}. Note that this operation uses the pattern matcher and so is relatively expensive. To avoid getting into an infinite loop the transformations are applied at most ten times.")) (|removeSinhSq| ((|#2| |#2|) "\\spad{removeSinhSq(f)} converts every \\spad{sinh(u)**2} appearing in \\spad{f} into \\spad{1 - cosh(x)**2},{} and also reduces higher powers of \\spad{sinh(u)} with that formula.")) (|removeCoshSq| ((|#2| |#2|) "\\spad{removeCoshSq(f)} converts every \\spad{cosh(u)**2} appearing in \\spad{f} into \\spad{1 - sinh(x)**2},{} and also reduces higher powers of \\spad{cosh(u)} with that formula.")) (|removeSinSq| ((|#2| |#2|) "\\spad{removeSinSq(f)} converts every \\spad{sin(u)**2} appearing in \\spad{f} into \\spad{1 - cos(x)**2},{} and also reduces higher powers of \\spad{sin(u)} with that formula.")) (|removeCosSq| ((|#2| |#2|) "\\spad{removeCosSq(f)} converts every \\spad{cos(u)**2} appearing in \\spad{f} into \\spad{1 - sin(x)**2},{} and also reduces higher powers of \\spad{cos(u)} with that formula.")) (|coth2tanh| ((|#2| |#2|) "\\spad{coth2tanh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{1/tanh(u)}.")) (|cot2tan| ((|#2| |#2|) "\\spad{cot2tan(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{1/tan(u)}.")) (|tanh2coth| ((|#2| |#2|) "\\spad{tanh2coth(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{1/coth(u)}.")) (|tan2cot| ((|#2| |#2|) "\\spad{tan2cot(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{1/cot(u)}.")) (|tanh2trigh| ((|#2| |#2|) "\\spad{tanh2trigh(f)} converts every \\spad{tanh(u)} appearing in \\spad{f} into \\spad{sinh(u)/cosh(u)}.")) (|tan2trig| ((|#2| |#2|) "\\spad{tan2trig(f)} converts every \\spad{tan(u)} appearing in \\spad{f} into \\spad{sin(u)/cos(u)}.")) (|sinh2csch| ((|#2| |#2|) "\\spad{sinh2csch(f)} converts every \\spad{sinh(u)} appearing in \\spad{f} into \\spad{1/csch(u)}.")) (|sin2csc| ((|#2| |#2|) "\\spad{sin2csc(f)} converts every \\spad{sin(u)} appearing in \\spad{f} into \\spad{1/csc(u)}.")) (|sech2cosh| ((|#2| |#2|) "\\spad{sech2cosh(f)} converts every \\spad{sech(u)} appearing in \\spad{f} into \\spad{1/cosh(u)}.")) (|sec2cos| ((|#2| |#2|) "\\spad{sec2cos(f)} converts every \\spad{sec(u)} appearing in \\spad{f} into \\spad{1/cos(u)}.")) (|csch2sinh| ((|#2| |#2|) "\\spad{csch2sinh(f)} converts every \\spad{csch(u)} appearing in \\spad{f} into \\spad{1/sinh(u)}.")) (|csc2sin| ((|#2| |#2|) "\\spad{csc2sin(f)} converts every \\spad{csc(u)} appearing in \\spad{f} into \\spad{1/sin(u)}.")) (|coth2trigh| ((|#2| |#2|) "\\spad{coth2trigh(f)} converts every \\spad{coth(u)} appearing in \\spad{f} into \\spad{cosh(u)/sinh(u)}.")) (|cot2trig| ((|#2| |#2|) "\\spad{cot2trig(f)} converts every \\spad{cot(u)} appearing in \\spad{f} into \\spad{cos(u)/sin(u)}.")) (|cosh2sech| ((|#2| |#2|) "\\spad{cosh2sech(f)} converts every \\spad{cosh(u)} appearing in \\spad{f} into \\spad{1/sech(u)}.")) (|cos2sec| ((|#2| |#2|) "\\spad{cos2sec(f)} converts every \\spad{cos(u)} appearing in \\spad{f} into \\spad{1/sec(u)}.")) (|expandLog| ((|#2| |#2|) "\\spad{expandLog(f)} converts every \\spad{log(a/b)} appearing in \\spad{f} into \\spad{log(a) - log(b)},{} and every \\spad{log(a*b)} into \\spad{log(a) + log(b)}..")) (|expandPower| ((|#2| |#2|) "\\spad{expandPower(f)} converts every power \\spad{(a/b)**c} appearing in \\spad{f} into \\spad{a**c * b**(-c)}.")) (|simplifyLog| ((|#2| |#2|) "\\spad{simplifyLog(f)} converts every \\spad{log(a) - log(b)} appearing in \\spad{f} into \\spad{log(a/b)},{} every \\spad{log(a) + log(b)} into \\spad{log(a*b)} and every \\spad{n*log(a)} into \\spad{log(a^n)}.")) (|simplifyExp| ((|#2| |#2|) "\\spad{simplifyExp(f)} converts every product \\spad{exp(a)*exp(b)} appearing in \\spad{f} into \\spad{exp(a+b)}.")) (|htrigs| ((|#2| |#2|) "\\spad{htrigs(f)} converts all the exponentials in \\spad{f} into hyperbolic sines and cosines.")) (|simplify| ((|#2| |#2|) "\\spad{simplify(f)} performs the following simplifications on \\spad{f:}\\begin{items} \\item 1. rewrites trigs and hyperbolic trigs in terms of \\spad{sin} ,{}\\spad{cos},{} \\spad{sinh},{} \\spad{cosh}. \\item 2. rewrites \\spad{sin**2} and \\spad{sinh**2} in terms of \\spad{cos} and \\spad{cosh},{} \\item 3. rewrites \\spad{exp(a)*exp(b)} as \\spad{exp(a+b)}. \\item 4. rewrites \\spad{(a**(1/n))**m * (a**(1/s))**t} as a single power of a single radical of \\spad{a}. \\end{items}")) (|expand| ((|#2| |#2|) "\\spad{expand(f)} performs the following expansions on \\spad{f:}\\begin{items} \\item 1. logs of products are expanded into sums of logs,{} \\item 2. trigonometric and hyperbolic trigonometric functions of sums are expanded into sums of products of trigonometric and hyperbolic trigonometric functions. \\item 3. formal powers of the form \\spad{(a/b)**c} are expanded into \\spad{a**c * b**(-c)}. \\end{items}"))) NIL ((-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -907) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -901) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -901) (|devaluate| |#1|))))) @@ -4859,7 +4859,7 @@ NIL (-1232 |Coef|) ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|Mapping| $) (|Symbol|) |#1|) "\\spad{fintegrate(f,v,c)} is the integral of \\spad{f()} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.} \\indented{1}{The evaluation of \\spad{f()} is delayed.}")) (|integrate| (($ $ (|Symbol|) |#1|) "\\spad{integrate(s,v,c)} is the integral of \\spad{s} with respect \\indented{1}{to \\spad{v} and having \\spad{c} as the constant of integration.}")) (|coerce| (($ (|Polynomial| |#1|)) "\\spad{coerce(s)} regroups terms of \\spad{s} by total degree \\indented{1}{and forms a series.}") (($ (|Symbol|)) "\\spad{coerce(s)} converts a variable to a Taylor series")) (|coefficient| (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{coefficient(s, n)} gives the terms of total degree \\spad{n}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) (-1233 |Curve|) ((|constructor| (NIL "\\indented{2}{Package for constructing tubes around 3-dimensional parametric curves.} Domain of tubes around 3-dimensional parametric curves.")) (|tube| (($ |#1| (|List| (|List| (|Point| (|DoubleFloat|)))) (|Boolean|)) "\\spad{tube(c,ll,b)} creates a tube of the domain \\spadtype{TubePlot} from a space curve \\spad{c} of the category \\spadtype{PlottableSpaceCurveCategory},{} a list of lists of points (loops) \\spad{ll} and a boolean \\spad{b} which if \\spad{true} indicates a closed tube,{} or if \\spad{false} an open tube.")) (|setClosed| (((|Boolean|) $ (|Boolean|)) "\\spad{setClosed(t,b)} declares the given tube plot \\spad{t} to be closed if \\spad{b} is \\spad{true},{} or if \\spad{b} is \\spad{false},{} \\spad{t} is set to be open.")) (|open?| (((|Boolean|) $) "\\spad{open?(t)} tests whether the given tube plot \\spad{t} is open.")) (|closed?| (((|Boolean|) $) "\\spad{closed?(t)} tests whether the given tube plot \\spad{t} is closed.")) (|listLoops| (((|List| (|List| (|Point| (|DoubleFloat|)))) $) "\\spad{listLoops(t)} returns the list of lists of points,{} or the 'loops',{} of the given tube plot \\spad{t}.")) (|getCurve| ((|#1| $) "\\spad{getCurve(t)} returns the \\spadtype{PlottableSpaceCurveCategory} representing the parametric curve of the given tube plot \\spad{t}."))) NIL @@ -4872,7 +4872,7 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain is used to interface with the interpreter\\spad{'s} notion} of comma-delimited sequences of values.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(x)} returns the number of elements in tuple \\spad{x}")) (|select| ((|#1| $ (|NonNegativeInteger|)) "\\spad{select(x,n)} returns the \\spad{n}-th element of tuple \\spad{x}. tuples are 0-based"))) NIL ((|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) -(-1236 -1963) +(-1236 -2119) ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) NIL NIL @@ -4935,11 +4935,11 @@ NIL (-1251 |Coef| UTS) ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . 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The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) NIL @@ -4975,7 +4975,7 @@ NIL (-1261 |x| R) ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4466 "*") |has| |#2| (-174)) (-4457 |has| |#2| (-568)) (-4460 |has| |#2| (-374)) (-4462 |has| |#2| (-6 -4462)) (-4459 . T) (-4458 . T) (-4461 . T)) -((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2759 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-2759 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-2759 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-2759 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-928))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-3795 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-390))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -901) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -901) (QUOTE (-576))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-390)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -907) (QUOTE (-576)))))) (-12 (|HasCategory| (-1103) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (QUOTE (-576)))) (-3795 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (-3795 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-1173))) (|HasCategory| |#2| (LIST (QUOTE -919) (QUOTE (-1197)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (QUOTE (-238))) (|HasAttribute| |#2| (QUOTE -4462)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (-3795 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-928)))) (|HasCategory| |#2| (QUOTE (-146))))) (-1262 R PR S PS) ((|constructor| (NIL "Mapping from polynomials over \\spad{R} to polynomials over \\spad{S} given a map from \\spad{R} to \\spad{S} assumed to send zero to zero.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, p)} takes a function \\spad{f} from \\spad{R} to \\spad{S},{} and applies it to each (non-zero) coefficient of a polynomial \\spad{p} over \\spad{R},{} getting a new polynomial over \\spad{S}. Note: since the map is not applied to zero elements,{} it may map zero to zero."))) NIL @@ -4991,7 +4991,7 @@ NIL (-1265 S |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1133))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -3569) (LIST (|devaluate| |#2|) (QUOTE (-1197)))))) +((|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1133))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -4113) (LIST (|devaluate| |#2|) (QUOTE (-1197)))))) (-1266 |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) @@ -5019,15 +5019,15 @@ NIL (-1272 |Coef| ULS) ((|constructor| (NIL "This package enables one to construct a univariate Puiseux series domain from a univariate Laurent series domain. Univariate Puiseux series are represented by a pair \\spad{[r,f(x)]},{} where \\spad{r} is a positive rational number and \\spad{f(x)} is a Laurent series. This pair represents the Puiseux series \\spad{f(x^r)}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2759 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4160) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) +((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -4113) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1759) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1584) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-1273 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4462 |has| |#1| (-374)) (-4456 |has| |#1| (-374)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2759 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2759 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4160) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576))) (|devaluate| |#1|)))) (|HasCategory| (-419 (-576)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-374))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3795 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasSignature| |#1| (LIST (QUOTE -4113) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1759) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1584) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) (-1274 R FE |var| |cen|) ((|constructor| (NIL "UnivariatePuiseuxSeriesWithExponentialSingularity is a domain used to represent functions with essential singularities. Objects in this domain are sums,{} where each term in the sum is a univariate Puiseux series times the exponential of a univariate Puiseux series. Thus,{} the elements of this domain are sums of expressions of the form \\spad{g(x) * exp(f(x))},{} where \\spad{g}(\\spad{x}) is a univariate Puiseux series and \\spad{f}(\\spad{x}) is a univariate Puiseux series with no terms of non-negative degree.")) (|dominantTerm| (((|Union| (|Record| (|:| |%term| (|Record| (|:| |%coef| (|UnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expon| (|ExponentialOfUnivariatePuiseuxSeries| |#2| |#3| |#4|)) (|:| |%expTerms| (|List| (|Record| (|:| |k| (|Fraction| (|Integer|))) (|:| |c| |#2|)))))) (|:| |%type| (|String|))) "failed") $) "\\spad{dominantTerm(f(var))} returns the term that dominates the limiting behavior of \\spad{f(var)} as \\spad{var -> cen+} together with a \\spadtype{String} which briefly describes that behavior. The value of the \\spadtype{String} will be \\spad{\"zero\"} (resp. \\spad{\"infinity\"}) if the term tends to zero (resp. infinity) exponentially and will \\spad{\"series\"} if the term is a Puiseux series.")) (|limitPlus| (((|Union| (|OrderedCompletion| |#2|) "failed") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}."))) (((-4466 "*") |has| (-1273 |#2| |#3| |#4|) (-174)) (-4457 |has| (-1273 |#2| |#3| |#4|) (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-174))) (-2759 (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-568)))) +((|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-174))) (-3795 (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1273 |#2| |#3| |#4|) (LIST (QUOTE -1059) (QUOTE (-576)))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1273 |#2| |#3| |#4|) (QUOTE (-568)))) (-1275 A S) ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|Integer|)) "\\spad{split!(u,n)} splits \\spad{u} into two aggregates: \\axiom{\\spad{v} = rest(\\spad{u},{}\\spad{n})} and \\axiom{\\spad{w} = first(\\spad{u},{}\\spad{n})},{} returning \\axiom{\\spad{v}}. Note: afterwards \\axiom{rest(\\spad{u},{}\\spad{n})} returns \\axiom{empty()}.")) (|setlast!| ((|#2| $ |#2|) "\\spad{setlast!(u,x)} destructively changes the last element of \\spad{u} to \\spad{x}.")) (|setrest!| (($ $ $) "\\spad{setrest!(u,v)} destructively changes the rest of \\spad{u} to \\spad{v}.")) (|setelt| ((|#2| $ "last" |#2|) "\\spad{setelt(u,\"last\",x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#2| $ "first" |#2|) "\\spad{setelt(u,\"first\",x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#2| $ |#2|) "\\spad{setfirst!(u,x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#2|) "\\spad{concat!(u,x)} destructively adds element \\spad{x} to the end of \\spad{u}. Note: \\axiom{concat!(a,{}\\spad{x}) = setlast!(a,{}[\\spad{x}])}.") (($ $ $) "\\spad{concat!(u,v)} destructively concatenates \\spad{v} to the end of \\spad{u}. Note: \\axiom{concat!(\\spad{u},{}\\spad{v}) = setlast!(\\spad{u},{}\\spad{v})}.")) (|cycleTail| (($ $) "\\spad{cycleTail(u)} returns the last node in the cycle,{} or empty if none exists.")) (|cycleLength| (((|NonNegativeInteger|) $) "\\spad{cycleLength(u)} returns the length of a top-level cycle contained in aggregate \\spad{u},{} or 0 is \\spad{u} has no such cycle.")) (|cycleEntry| (($ $) "\\spad{cycleEntry(u)} returns the head of a top-level cycle contained in aggregate \\spad{u},{} or \\axiom{empty()} if none exists.")) (|third| ((|#2| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#2| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#2| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#2| $ "last") "\\spad{elt(u,\"last\")} (also written: \\axiom{\\spad{u} . last}) is equivalent to last \\spad{u}.") (($ $ "rest") "\\spad{elt(\\%,\"rest\")} (also written: \\axiom{\\spad{u}.rest}) is equivalent to \\axiom{rest \\spad{u}}.") ((|#2| $ "first") "\\spad{elt(u,\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#2| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#2| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) NIL @@ -5043,7 +5043,7 @@ NIL (-1278 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#2|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#2|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,k1,k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#2|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#2| (|Integer|)) $) "\\spad{multiplyCoefficients(f,sum(n = 0..infinity,a[n] * x**n))} returns \\spad{sum(n = 0..infinity,f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#2|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,a1,a2,...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#2|)) "\\spad{series([a0,a1,a2,...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#2|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-978))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasSignature| |#2| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -4160) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1197))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-978))) (|HasCategory| |#2| (QUOTE (-1223))) (|HasSignature| |#2| (LIST (QUOTE -1584) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1759) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1197))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) (-1279 |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $ (|Symbol|)) "\\spad{integrate(f(x),y)} returns an anti-derivative of the power series \\spad{f(x)} with respect to the variable \\spad{y}.") (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (** (($ $ |#1|) "\\spad{f(x) ** a} computes a power of a power series. When the coefficient ring is a field,{} we may raise a series to an exponent from the coefficient ring provided that the constant coefficient of the series is 1.")) (|polynomial| (((|Polynomial| |#1|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{polynomial(f,k1,k2)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (((|Polynomial| |#1|) $ (|NonNegativeInteger|)) "\\spad{polynomial(f,k)} returns a polynomial consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(f,sum(n = 0..infinity,a[n] * x**n))} returns \\spad{sum(n = 0..infinity,f(n) * a[n] * x**n)}. This function is used when Laurent series are represented by a Taylor series and an order.")) (|quoByVar| (($ $) "\\spad{quoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...} Thus,{} this function substracts the constant term and divides by the series variable. This function is used when Laurent series are represented by a Taylor series and an order.")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(a0 + a1 x + a2 x**2 + ...)} returns a stream of coefficients: \\spad{[a0,a1,a2,...]}. The entries of the stream may be zero.")) (|series| (($ (|Stream| |#1|)) "\\spad{series([a0,a1,a2,...])} is the Taylor series \\spad{a0 + a1 x + a2 x**2 + ...}.") (($ (|Stream| (|Record| (|:| |k| (|NonNegativeInteger|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) @@ -5051,12 +5051,12 @@ NIL (-1280 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|invmultisect| (($ (|Integer|) (|Integer|) $) "\\spad{invmultisect(a,b,f(x))} substitutes \\spad{x^((a+b)*n)} \\indented{1}{for \\spad{x^n} and multiples by \\spad{x^b}.}")) (|multisect| (($ (|Integer|) (|Integer|) $) "\\spad{multisect(a,b,f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and invertible 1st order coefficient.")) (|generalLambert| (($ $ (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),a,d)} returns \\spad{f(x^a) + f(x^(a + d)) + \\indented{1}{f(x^(a + 2 d)) + ... }. \\spad{f(x)} should have zero constant} \\indented{1}{coefficient and \\spad{a} and \\spad{d} should be positive.}")) (|evenlambert| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}."))) (((-4466 "*") |has| |#1| (-174)) (-4457 |has| |#1| (-568)) (-4458 . T) (-4459 . T) (-4461 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2759 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1133))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -3569) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2759 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -4160) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1969) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3795 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1197)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-783)) (|devaluate| |#1|)))) (|HasCategory| (-783) (QUOTE (-1133))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -4113) (LIST (|devaluate| |#1|) (QUOTE (-1197)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-3795 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1223))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -1759) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1197))))) (|HasSignature| |#1| (LIST (QUOTE -1584) (LIST (LIST (QUOTE -656) (QUOTE (-1197))) (|devaluate| |#1|))))))) (-1281 |Coef| UTS) ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,y[1],y[2],...,y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,cl)} is the solution to \\spad{y<n>=f(y,y',..,y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,c0,c1)} is the solution to \\spad{y'' = f(y,y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) NIL NIL -(-1282 -1963 UP L UTS) +(-1282 -2119 UP L UTS) ((|constructor| (NIL "\\spad{RUTSodetools} provides tools to interface with the series \\indented{1}{ODE solver when presented with linear ODEs.}")) (RF2UTS ((|#4| (|Fraction| |#2|)) "\\spad{RF2UTS(f)} converts \\spad{f} to a Taylor series.")) (LODO2FUN (((|Mapping| |#4| (|List| |#4|)) |#3|) "\\spad{LODO2FUN(op)} returns the function to pass to the series ODE solver in order to solve \\spad{op y = 0}.")) (UTS2UP ((|#2| |#4| (|NonNegativeInteger|)) "\\spad{UTS2UP(s, n)} converts the first \\spad{n} terms of \\spad{s} to a univariate polynomial.")) (UP2UTS ((|#4| |#2|) "\\spad{UP2UTS(p)} converts \\spad{p} to a Taylor series."))) NIL ((|HasCategory| |#1| (QUOTE (-568)))) @@ -5083,7 +5083,7 @@ NIL (-1288 R) ((|constructor| (NIL "This type represents vector like objects with varying lengths and indexed by a finite segment of integers starting at 1.")) (|vector| (($ (|List| |#1|)) "\\spad{vector(l)} converts the list \\spad{l} to a vector."))) ((-4465 . T) (-4464 . T)) -((-2759 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2759 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2759 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-2759 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-3795 (-12 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3795 (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3795 (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-861))) (-3795 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| (-576) (QUOTE (-861))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1070))) (-12 (|HasCategory| |#1| (QUOTE (-1023))) (|HasCategory| |#1| (QUOTE (-1070)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-876)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-1289) ((|constructor| (NIL "TwoDimensionalViewport creates viewports to display graphs.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(v)} returns the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport} as output of the domain \\spadtype{OutputForm}.")) (|key| (((|Integer|) $) "\\spad{key(v)} returns the process ID number of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|reset| (((|Void|) $) "\\spad{reset(v)} sets the current state of the graph characteristics of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} back to their initial settings.")) (|write| (((|String|) $ (|String|) (|List| (|String|))) "\\spad{write(v,s,lf)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and the optional file types indicated by the list \\spad{lf}.") (((|String|) $ (|String|) (|String|)) "\\spad{write(v,s,f)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v} and an optional file type \\spad{f}.") (((|String|) $ (|String|)) "\\spad{write(v,s)} takes the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and creates a directory indicated by \\spad{s},{} which contains the graph data files for \\spad{v}.")) (|resize| (((|Void|) $ (|PositiveInteger|) (|PositiveInteger|)) "\\spad{resize(v,w,h)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with a width of \\spad{w} and a height of \\spad{h},{} keeping the upper left-hand corner position unchanged.")) (|update| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{update(v,gr,n)} drops the graph \\spad{gr} in slot \\spad{n} of viewport \\spad{v}. The graph \\spad{gr} must have been transmitted already and acquired an integer key.")) (|move| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{move(v,x,y)} displays the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the upper left-hand corner of the viewport window at the screen coordinate position \\spad{x},{} \\spad{y}.")) (|show| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{show(v,n,s)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the graph if \\spad{s} is \"off\".")) (|translate| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{translate(v,n,dx,dy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} translated by \\spad{dx} in the \\spad{x}-coordinate direction from the center of the viewport,{} and by \\spad{dy} in the \\spad{y}-coordinate direction from the center. Setting \\spad{dx} and \\spad{dy} to \\spad{0} places the center of the graph at the center of the viewport.")) (|scale| (((|Void|) $ (|PositiveInteger|) (|Float|) (|Float|)) "\\spad{scale(v,n,sx,sy)} displays the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} scaled by the factor \\spad{sx} in the \\spad{x}-coordinate direction and by the factor \\spad{sy} in the \\spad{y}-coordinate direction.")) (|dimensions| (((|Void|) $ (|NonNegativeInteger|) (|NonNegativeInteger|) (|PositiveInteger|) (|PositiveInteger|)) "\\spad{dimensions(v,x,y,width,height)} sets the position of the upper left-hand corner of the two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to the window coordinate \\spad{x},{} \\spad{y},{} and sets the dimensions of the window to that of \\spad{width},{} \\spad{height}. The new dimensions are not displayed until the function \\spadfun{makeViewport2D} is executed again for \\spad{v}.")) (|close| (((|Void|) $) "\\spad{close(v)} closes the viewport window of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} and terminates the corresponding process ID.")) (|controlPanel| (((|Void|) $ (|String|)) "\\spad{controlPanel(v,s)} displays the control panel of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or hides the control panel if \\spad{s} is \"off\".")) (|connect| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{connect(v,n,s)} displays the lines connecting the graph points in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the lines if \\spad{s} is \"off\".")) (|region| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{region(v,n,s)} displays the bounding box of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the bounding box if \\spad{s} is \"off\".")) (|points| (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{points(v,n,s)} displays the points of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the points if \\spad{s} is \"off\".")) (|units| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{units(v,n,c)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the units color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{units(v,n,s)} displays the units of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the units if \\spad{s} is \"off\".")) (|axes| (((|Void|) $ (|PositiveInteger|) (|Palette|)) "\\spad{axes(v,n,c)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} with the axes color set to the given palette color \\spad{c}.") (((|Void|) $ (|PositiveInteger|) (|String|)) "\\spad{axes(v,n,s)} displays the axes of the graph in field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} if \\spad{s} is \"on\",{} or does not display the axes if \\spad{s} is \"off\".")) (|getGraph| (((|GraphImage|) $ (|PositiveInteger|)) "\\spad{getGraph(v,n)} returns the graph which is of the domain \\spadtype{GraphImage} which is located in graph field \\spad{n} of the given two-dimensional viewport,{} \\spad{v},{} which is of the domain \\spadtype{TwoDimensionalViewport}.")) (|putGraph| (((|Void|) $ (|GraphImage|) (|PositiveInteger|)) "\\spad{putGraph(v,gi,n)} sets the graph field indicated by \\spad{n},{} of the indicated two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport},{} to be the graph,{} \\spad{gi} of domain \\spadtype{GraphImage}. The contents of viewport,{} \\spad{v},{} will contain \\spad{gi} when the function \\spadfun{makeViewport2D} is called to create the an updated viewport \\spad{v}.")) (|title| (((|Void|) $ (|String|)) "\\spad{title(v,s)} changes the title which is shown in the two-dimensional viewport window,{} \\spad{v} of domain \\spadtype{TwoDimensionalViewport}.")) (|graphs| (((|Vector| (|Union| (|GraphImage|) "undefined")) $) "\\spad{graphs(v)} returns a vector,{} or list,{} which is a union of all the graphs,{} of the domain \\spadtype{GraphImage},{} which are allocated for the two-dimensional viewport,{} \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport}. Those graphs which have no data are labeled \"undefined\",{} otherwise their contents are shown.")) (|graphStates| (((|Vector| (|Record| (|:| |scaleX| (|DoubleFloat|)) (|:| |scaleY| (|DoubleFloat|)) (|:| |deltaX| (|DoubleFloat|)) (|:| |deltaY| (|DoubleFloat|)) (|:| |points| (|Integer|)) (|:| |connect| (|Integer|)) (|:| |spline| (|Integer|)) (|:| |axes| (|Integer|)) (|:| |axesColor| (|Palette|)) (|:| |units| (|Integer|)) (|:| |unitsColor| (|Palette|)) (|:| |showing| (|Integer|)))) $) "\\spad{graphStates(v)} returns and shows a listing of a record containing the current state of the characteristics of each of the ten graph records in the given two-dimensional viewport,{} \\spad{v},{} which is of domain \\spadtype{TwoDimensionalViewport}.")) (|graphState| (((|Void|) $ (|PositiveInteger|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|Integer|) (|Integer|) (|Integer|) (|Integer|) (|Palette|) (|Integer|) (|Palette|) (|Integer|)) "\\spad{graphState(v,num,sX,sY,dX,dY,pts,lns,box,axes,axesC,un,unC,cP)} sets the state of the characteristics for the graph indicated by \\spad{num} in the given two-dimensional viewport \\spad{v},{} of domain \\spadtype{TwoDimensionalViewport},{} to the values given as parameters. The scaling of the graph in the \\spad{x} and \\spad{y} component directions is set to be \\spad{sX} and \\spad{sY}; the window translation in the \\spad{x} and \\spad{y} component directions is set to be \\spad{dX} and \\spad{dY}; The graph points,{} lines,{} bounding \\spad{box},{} \\spad{axes},{} or units will be shown in the viewport if their given parameters \\spad{pts},{} \\spad{lns},{} \\spad{box},{} \\spad{axes} or \\spad{un} are set to be \\spad{1},{} but will not be shown if they are set to \\spad{0}. The color of the \\spad{axes} and the color of the units are indicated by the palette colors \\spad{axesC} and \\spad{unC} respectively. To display the control panel when the viewport window is displayed,{} set \\spad{cP} to \\spad{1},{} otherwise set it to \\spad{0}.")) (|options| (($ $ (|List| (|DrawOption|))) "\\spad{options(v,lopt)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns \\spad{v} with it\\spad{'s} draw options modified to be those which are indicated in the given list,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (((|List| (|DrawOption|)) $) "\\spad{options(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and returns a list containing the draw options from the domain \\spadtype{DrawOption} for \\spad{v}.")) (|makeViewport2D| (($ (|GraphImage|) (|List| (|DrawOption|))) "\\spad{makeViewport2D(gi,lopt)} creates and displays a viewport window of the domain \\spadtype{TwoDimensionalViewport} whose graph field is assigned to be the given graph,{} \\spad{gi},{} of domain \\spadtype{GraphImage},{} and whose options field is set to be the list of options,{} \\spad{lopt} of domain \\spadtype{DrawOption}.") (($ $) "\\spad{makeViewport2D(v)} takes the given two-dimensional viewport,{} \\spad{v},{} of the domain \\spadtype{TwoDimensionalViewport} and displays a viewport window on the screen which contains the contents of \\spad{v}.")) (|viewport2D| (($) "\\spad{viewport2D()} returns an undefined two-dimensional viewport of the domain \\spadtype{TwoDimensionalViewport} whose contents are empty.")) (|getPickedPoints| (((|List| (|Point| (|DoubleFloat|))) $) "\\spad{getPickedPoints(x)} returns a list of small floats for the points the user interactively picked on the viewport for full integration into the system,{} some design issues need to be addressed: \\spadignore{e.g.} how to go through the GraphImage interface,{} how to default to graphs,{} etc."))) NIL @@ -5116,7 +5116,7 @@ NIL ((|constructor| (NIL "This package implements the Weierstrass preparation theorem \\spad{f} or multivariate power series. weierstrass(\\spad{v},{}\\spad{p}) where \\spad{v} is a variable,{} and \\spad{p} is a TaylorSeries(\\spad{R}) in which the terms of lowest degree \\spad{s} must include c*v**s where \\spad{c} is a constant,{}\\spad{s>0},{} is a list of TaylorSeries coefficients A[\\spad{i}] of the equivalent polynomial A = A[0] + A[1]\\spad{*v} + A[2]*v**2 + ... + A[\\spad{s}-1]*v**(\\spad{s}-1) + v**s such that p=A*B ,{} \\spad{B} being a TaylorSeries of minimum degree 0")) (|qqq| (((|Mapping| (|Stream| (|TaylorSeries| |#1|)) (|Stream| (|TaylorSeries| |#1|))) (|NonNegativeInteger|) (|TaylorSeries| |#1|) (|Stream| (|TaylorSeries| |#1|))) "\\spad{qqq(n,s,st)} is used internally.")) (|weierstrass| (((|List| (|TaylorSeries| |#1|)) (|Symbol|) (|TaylorSeries| |#1|)) "\\spad{weierstrass(v,ts)} where \\spad{v} is a variable and \\spad{ts} is \\indented{1}{a TaylorSeries,{} impements the Weierstrass Preparation} \\indented{1}{Theorem. The result is a list of TaylorSeries that} \\indented{1}{are the coefficients of the equivalent series.}")) (|clikeUniv| (((|Mapping| (|SparseUnivariatePolynomial| (|Polynomial| |#1|)) (|Polynomial| |#1|)) (|Symbol|)) "\\spad{clikeUniv(v)} is used internally.")) (|sts2stst| (((|Stream| (|Stream| (|Polynomial| |#1|))) (|Symbol|) (|Stream| (|Polynomial| |#1|))) "\\spad{sts2stst(v,s)} is used internally.")) (|cfirst| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{cfirst n} is used internally.")) (|crest| (((|Mapping| (|Stream| (|Polynomial| |#1|)) (|Stream| (|Polynomial| |#1|))) (|NonNegativeInteger|)) "\\spad{crest n} is used internally."))) NIL NIL -(-1297 K R UP -1963) +(-1297 K R UP -2119) ((|constructor| (NIL "In this package \\spad{K} is a finite field,{} \\spad{R} is a ring of univariate polynomials over \\spad{K},{} and \\spad{F} is a framed algebra over \\spad{R}. The package provides a function to compute the integral closure of \\spad{R} in the quotient field of \\spad{F} as well as a function to compute a \"local integral basis\" at a specific prime.")) (|localIntegralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|))) |#2|) "\\spad{integralBasis(p)} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the local integral closure of \\spad{R} at the prime \\spad{p} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the local integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}.")) (|integralBasis| (((|Record| (|:| |basis| (|Matrix| |#2|)) (|:| |basisDen| |#2|) (|:| |basisInv| (|Matrix| |#2|)))) "\\spad{integralBasis()} returns a record \\spad{[basis,basisDen,basisInv]} containing information regarding the integral closure of \\spad{R} in the quotient field of \\spad{F},{} where \\spad{F} is a framed algebra with \\spad{R}-module basis \\spad{w1,w2,...,wn}. If \\spad{basis} is the matrix \\spad{(aij, i = 1..n, j = 1..n)},{} then the \\spad{i}th element of the integral basis is \\spad{vi = (1/basisDen) * sum(aij * wj, j = 1..n)},{} \\spadignore{i.e.} the \\spad{i}th row of \\spad{basis} contains the coordinates of the \\spad{i}th basis vector. Similarly,{} the \\spad{i}th row of the matrix \\spad{basisInv} contains the coordinates of \\spad{wi} with respect to the basis \\spad{v1,...,vn}: if \\spad{basisInv} is the matrix \\spad{(bij, i = 1..n, j = 1..n)},{} then \\spad{wi = sum(bij * vj, j = 1..n)}."))) NIL NIL @@ -5152,11 +5152,11 @@ NIL ((|constructor| (NIL "This category specifies opeations for polynomials and formal series with non-commutative variables.")) (|varList| (((|List| |#1|) $) "\\spad{varList(x)} returns the list of variables which appear in \\spad{x}.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,x)} returns \\spad{Sum(fn(r_i) w_i)} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|sh| (($ $ (|NonNegativeInteger|)) "\\spad{sh(x,n)} returns the shuffle power of \\spad{x} to the \\spad{n}.") (($ $ $) "\\spad{sh(x,y)} returns the shuffle-product of \\spad{x} by \\spad{y}. This multiplication is associative and commutative.")) (|quasiRegular| (($ $) "\\spad{quasiRegular(x)} return \\spad{x} minus its constant term.")) (|quasiRegular?| (((|Boolean|) $) "\\spad{quasiRegular?(x)} return \\spad{true} if \\spad{constant(x)} is zero.")) (|constant| ((|#2| $) "\\spad{constant(x)} returns the constant term of \\spad{x}.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(x)} returns \\spad{true} if \\spad{x} is constant.")) (|coerce| (($ |#1|) "\\spad{coerce(v)} returns \\spad{v}.")) (|mirror| (($ $) "\\spad{mirror(x)} returns \\spad{Sum(r_i mirror(w_i))} if \\spad{x} writes \\spad{Sum(r_i w_i)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(x)} returns \\spad{true} if \\spad{x} is a monomial")) (|monom| (($ (|OrderedFreeMonoid| |#1|) |#2|) "\\spad{monom(w,r)} returns the product of the word \\spad{w} by the coefficient \\spad{r}.")) (|rquo| (($ $ $) "\\spad{rquo(x,y)} returns the right simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{rquo(x,w)} returns the right simplification of \\spad{x} by \\spad{w}.") (($ $ |#1|) "\\spad{rquo(x,v)} returns the right simplification of \\spad{x} by the variable \\spad{v}.")) (|lquo| (($ $ $) "\\spad{lquo(x,y)} returns the left simplification of \\spad{x} by \\spad{y}.") (($ $ (|OrderedFreeMonoid| |#1|)) "\\spad{lquo(x,w)} returns the left simplification of \\spad{x} by the word \\spad{w}.") (($ $ |#1|) "\\spad{lquo(x,v)} returns the left simplification of \\spad{x} by the variable \\spad{v}.")) (|coef| ((|#2| $ $) "\\spad{coef(x,y)} returns scalar product of \\spad{x} by \\spad{y},{} the set of words being regarded as an orthogonal basis.") ((|#2| $ (|OrderedFreeMonoid| |#1|)) "\\spad{coef(x,w)} returns the coefficient of the word \\spad{w} in \\spad{x}.")) (|mindegTerm| (((|Record| (|:| |k| (|OrderedFreeMonoid| |#1|)) (|:| |c| |#2|)) $) "\\spad{mindegTerm(x)} returns the term whose word is \\spad{mindeg(x)}.")) (|mindeg| (((|OrderedFreeMonoid| |#1|) $) "\\spad{mindeg(x)} returns the little word which appears in \\spad{x}. Error if \\spad{x=0}.")) (* (($ $ |#2|) "\\spad{x * r} returns the product of \\spad{x} by \\spad{r}. Usefull if \\spad{R} is a non-commutative Ring.") (($ |#1| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) ((-4457 |has| |#2| (-6 -4457)) (-4459 . T) (-4458 . T) (-4461 . T)) NIL -(-1306 S -1963) +(-1306 S -2119) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148)))) -(-1307 -1963) +(-1307 -2119) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|NonNegativeInteger|)) "\\spad{Frobenius(a,s)} returns \\spad{a**(q**s)} where \\spad{q} is the size()\\$\\spad{F}.") (($ $) "\\spad{Frobenius(a)} returns \\spad{a ** q} where \\spad{q} is the \\spad{size()\\$F}.")) (|transcendenceDegree| (((|NonNegativeInteger|)) "\\spad{transcendenceDegree()} returns the transcendence degree of the field extension,{} 0 if the extension is algebraic.")) (|extensionDegree| (((|OnePointCompletion| (|PositiveInteger|))) "\\spad{extensionDegree()} returns the degree of the field extension if the extension is algebraic,{} and \\spad{infinity} if it is not.")) (|degree| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{degree(a)} returns the degree of minimal polynomial of an element \\spad{a} if \\spad{a} is algebraic with respect to the ground field \\spad{F},{} and \\spad{infinity} otherwise.")) (|inGroundField?| (((|Boolean|) $) "\\spad{inGroundField?(a)} tests whether an element \\spad{a} is already in the ground field \\spad{F}.")) (|transcendent?| (((|Boolean|) $) "\\spad{transcendent?(a)} tests whether an element \\spad{a} is transcendent with respect to the ground field \\spad{F}.")) (|algebraic?| (((|Boolean|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) ((-4456 . T) (-4462 . T) (-4457 . T) ((-4466 "*") . T) (-4458 . T) (-4459 . T) (-4461 . T)) NIL @@ -5216,4 +5216,4 @@ NIL NIL NIL NIL -((-3 NIL 2293911 2293916 2293921 2293926) (-2 NIL 2293891 2293896 2293901 2293906) (-1 NIL 2293871 2293876 2293881 2293886) (0 NIL 2293851 2293856 2293861 2293866) (-1317 "ZMOD.spad" 2293660 2293673 2293789 2293846) (-1316 "ZLINDEP.spad" 2292726 2292737 2293650 2293655) (-1315 "ZDSOLVE.spad" 2282671 2282693 2292716 2292721) (-1314 "YSTREAM.spad" 2282166 2282177 2282661 2282666) (-1313 "YDIAGRAM.spad" 2281800 2281809 2282156 2282161) (-1312 "XRPOLY.spad" 2281020 2281040 2281656 2281725) (-1311 "XPR.spad" 2278815 2278828 2280738 2280837) (-1310 "XPOLY.spad" 2278370 2278381 2278671 2278740) (-1309 "XPOLYC.spad" 2277689 2277705 2278296 2278365) (-1308 "XPBWPOLY.spad" 2276126 2276146 2277469 2277538) (-1307 "XF.spad" 2274589 2274604 2276028 2276121) (-1306 "XF.spad" 2273032 2273049 2274473 2274478) (-1305 "XFALG.spad" 2270080 2270096 2272958 2273027) (-1304 "XEXPPKG.spad" 2269331 2269357 2270070 2270075) (-1303 "XDPOLY.spad" 2268945 2268961 2269187 2269256) (-1302 "XALG.spad" 2268605 2268616 2268901 2268940) (-1301 "WUTSET.spad" 2264408 2264425 2268215 2268242) (-1300 "WP.spad" 2263607 2263651 2264266 2264333) (-1299 "WHILEAST.spad" 2263405 2263414 2263597 2263602) (-1298 "WHEREAST.spad" 2263076 2263085 2263395 2263400) (-1297 "WFFINTBS.spad" 2260739 2260761 2263066 2263071) (-1296 "WEIER.spad" 2258961 2258972 2260729 2260734) (-1295 "VSPACE.spad" 2258634 2258645 2258929 2258956) (-1294 "VSPACE.spad" 2258327 2258340 2258624 2258629) (-1293 "VOID.spad" 2258004 2258013 2258317 2258322) (-1292 "VIEW.spad" 2255684 2255693 2257994 2257999) (-1291 "VIEWDEF.spad" 2250885 2250894 2255674 2255679) (-1290 "VIEW3D.spad" 2234846 2234855 2250875 2250880) (-1289 "VIEW2D.spad" 2222737 2222746 2234836 2234841) (-1288 "VECTOR.spad" 2221258 2221269 2221509 2221536) (-1287 "VECTOR2.spad" 2219897 2219910 2221248 2221253) (-1286 "VECTCAT.spad" 2217801 2217812 2219865 2219892) (-1285 "VECTCAT.spad" 2215512 2215525 2217578 2217583) (-1284 "VARIABLE.spad" 2215292 2215307 2215502 2215507) (-1283 "UTYPE.spad" 2214936 2214945 2215282 2215287) (-1282 "UTSODETL.spad" 2214231 2214255 2214892 2214897) (-1281 "UTSODE.spad" 2212447 2212467 2214221 2214226) (-1280 "UTS.spad" 2207394 2207422 2210914 2211011) (-1279 "UTSCAT.spad" 2204873 2204889 2207292 2207389) (-1278 "UTSCAT.spad" 2201996 2202014 2204417 2204422) (-1277 "UTS2.spad" 2201591 2201626 2201986 2201991) (-1276 "URAGG.spad" 2196264 2196275 2201581 2201586) (-1275 "URAGG.spad" 2190901 2190914 2196220 2196225) (-1274 "UPXSSING.spad" 2188546 2188572 2189982 2190115) (-1273 "UPXS.spad" 2185842 2185870 2186678 2186827) (-1272 "UPXSCONS.spad" 2183601 2183621 2183974 2184123) (-1271 "UPXSCCA.spad" 2182172 2182192 2183447 2183596) (-1270 "UPXSCCA.spad" 2180885 2180907 2182162 2182167) (-1269 "UPXSCAT.spad" 2179474 2179490 2180731 2180880) (-1268 "UPXS2.spad" 2179017 2179070 2179464 2179469) (-1267 "UPSQFREE.spad" 2177431 2177445 2179007 2179012) (-1266 "UPSCAT.spad" 2175218 2175242 2177329 2177426) (-1265 "UPSCAT.spad" 2172711 2172737 2174824 2174829) (-1264 "UPOLYC.spad" 2167751 2167762 2172553 2172706) (-1263 "UPOLYC.spad" 2162683 2162696 2167487 2167492) (-1262 "UPOLYC2.spad" 2162154 2162173 2162673 2162678) (-1261 "UP.spad" 2159260 2159275 2159647 2159800) (-1260 "UPMP.spad" 2158160 2158173 2159250 2159255) (-1259 "UPDIVP.spad" 2157725 2157739 2158150 2158155) (-1258 "UPDECOMP.spad" 2155970 2155984 2157715 2157720) (-1257 "UPCDEN.spad" 2155179 2155195 2155960 2155965) (-1256 "UP2.spad" 2154543 2154564 2155169 2155174) (-1255 "UNISEG.spad" 2153896 2153907 2154462 2154467) (-1254 "UNISEG2.spad" 2153393 2153406 2153852 2153857) (-1253 "UNIFACT.spad" 2152496 2152508 2153383 2153388) (-1252 "ULS.spad" 2142280 2142308 2143225 2143654) (-1251 "ULSCONS.spad" 2133414 2133434 2133784 2133933) (-1250 "ULSCCAT.spad" 2131151 2131171 2133260 2133409) (-1249 "ULSCCAT.spad" 2128996 2129018 2131107 2131112) (-1248 "ULSCAT.spad" 2127228 2127244 2128842 2128991) (-1247 "ULS2.spad" 2126742 2126795 2127218 2127223) (-1246 "UINT8.spad" 2126619 2126628 2126732 2126737) (-1245 "UINT64.spad" 2126495 2126504 2126609 2126614) (-1244 "UINT32.spad" 2126371 2126380 2126485 2126490) (-1243 "UINT16.spad" 2126247 2126256 2126361 2126366) (-1242 "UFD.spad" 2125312 2125321 2126173 2126242) (-1241 "UFD.spad" 2124439 2124450 2125302 2125307) (-1240 "UDVO.spad" 2123320 2123329 2124429 2124434) (-1239 "UDPO.spad" 2120813 2120824 2123276 2123281) (-1238 "TYPE.spad" 2120745 2120754 2120803 2120808) (-1237 "TYPEAST.spad" 2120664 2120673 2120735 2120740) (-1236 "TWOFACT.spad" 2119316 2119331 2120654 2120659) (-1235 "TUPLE.spad" 2118802 2118813 2119215 2119220) (-1234 "TUBETOOL.spad" 2115669 2115678 2118792 2118797) (-1233 "TUBE.spad" 2114316 2114333 2115659 2115664) (-1232 "TS.spad" 2112915 2112931 2113881 2113978) (-1231 "TSETCAT.spad" 2100042 2100059 2112883 2112910) (-1230 "TSETCAT.spad" 2087155 2087174 2099998 2100003) (-1229 "TRMANIP.spad" 2081521 2081538 2086861 2086866) (-1228 "TRIMAT.spad" 2080484 2080509 2081511 2081516) (-1227 "TRIGMNIP.spad" 2079011 2079028 2080474 2080479) (-1226 "TRIGCAT.spad" 2078523 2078532 2079001 2079006) (-1225 "TRIGCAT.spad" 2078033 2078044 2078513 2078518) (-1224 "TREE.spad" 2076491 2076502 2077523 2077550) (-1223 "TRANFUN.spad" 2076330 2076339 2076481 2076486) (-1222 "TRANFUN.spad" 2076167 2076178 2076320 2076325) (-1221 "TOPSP.spad" 2075841 2075850 2076157 2076162) (-1220 "TOOLSIGN.spad" 2075504 2075515 2075831 2075836) (-1219 "TEXTFILE.spad" 2074065 2074074 2075494 2075499) (-1218 "TEX.spad" 2071211 2071220 2074055 2074060) (-1217 "TEX1.spad" 2070767 2070778 2071201 2071206) (-1216 "TEMUTL.spad" 2070322 2070331 2070757 2070762) (-1215 "TBCMPPK.spad" 2068415 2068438 2070312 2070317) (-1214 "TBAGG.spad" 2067465 2067488 2068395 2068410) (-1213 "TBAGG.spad" 2066523 2066548 2067455 2067460) (-1212 "TANEXP.spad" 2065931 2065942 2066513 2066518) (-1211 "TALGOP.spad" 2065655 2065666 2065921 2065926) (-1210 "TABLE.spad" 2063624 2063647 2063894 2063921) (-1209 "TABLEAU.spad" 2063105 2063116 2063614 2063619) (-1208 "TABLBUMP.spad" 2059908 2059919 2063095 2063100) (-1207 "SYSTEM.spad" 2059136 2059145 2059898 2059903) (-1206 "SYSSOLP.spad" 2056619 2056630 2059126 2059131) (-1205 "SYSPTR.spad" 2056518 2056527 2056609 2056614) (-1204 "SYSNNI.spad" 2055700 2055711 2056508 2056513) (-1203 "SYSINT.spad" 2055104 2055115 2055690 2055695) (-1202 "SYNTAX.spad" 2051310 2051319 2055094 2055099) (-1201 "SYMTAB.spad" 2049378 2049387 2051300 2051305) (-1200 "SYMS.spad" 2045401 2045410 2049368 2049373) (-1199 "SYMPOLY.spad" 2044408 2044419 2044490 2044617) (-1198 "SYMFUNC.spad" 2043909 2043920 2044398 2044403) (-1197 "SYMBOL.spad" 2041412 2041421 2043899 2043904) (-1196 "SWITCH.spad" 2038183 2038192 2041402 2041407) (-1195 "SUTS.spad" 2035231 2035259 2036650 2036747) (-1194 "SUPXS.spad" 2032514 2032542 2033363 2033512) (-1193 "SUP.spad" 2029234 2029245 2030007 2030160) (-1192 "SUPFRACF.spad" 2028339 2028357 2029224 2029229) (-1191 "SUP2.spad" 2027731 2027744 2028329 2028334) (-1190 "SUMRF.spad" 2026705 2026716 2027721 2027726) (-1189 "SUMFS.spad" 2026342 2026359 2026695 2026700) (-1188 "SULS.spad" 2016113 2016141 2017071 2017500) (-1187 "SUCHTAST.spad" 2015882 2015891 2016103 2016108) (-1186 "SUCH.spad" 2015564 2015579 2015872 2015877) (-1185 "SUBSPACE.spad" 2007679 2007694 2015554 2015559) (-1184 "SUBRESP.spad" 2006849 2006863 2007635 2007640) (-1183 "STTF.spad" 2002948 2002964 2006839 2006844) (-1182 "STTFNC.spad" 1999416 1999432 2002938 2002943) (-1181 "STTAYLOR.spad" 1992051 1992062 1999297 1999302) (-1180 "STRTBL.spad" 1990102 1990119 1990251 1990278) (-1179 "STRING.spad" 1988889 1988898 1989110 1989137) (-1178 "STREAM.spad" 1985690 1985701 1988297 1988312) (-1177 "STREAM3.spad" 1985263 1985278 1985680 1985685) (-1176 "STREAM2.spad" 1984391 1984404 1985253 1985258) (-1175 "STREAM1.spad" 1984097 1984108 1984381 1984386) (-1174 "STINPROD.spad" 1983033 1983049 1984087 1984092) (-1173 "STEP.spad" 1982234 1982243 1983023 1983028) (-1172 "STEPAST.spad" 1981468 1981477 1982224 1982229) (-1171 "STBL.spad" 1979552 1979580 1979719 1979734) (-1170 "STAGG.spad" 1978627 1978638 1979542 1979547) (-1169 "STAGG.spad" 1977700 1977713 1978617 1978622) (-1168 "STACK.spad" 1976940 1976951 1977190 1977217) (-1167 "SREGSET.spad" 1974608 1974625 1976550 1976577) (-1166 "SRDCMPK.spad" 1973169 1973189 1974598 1974603) (-1165 "SRAGG.spad" 1968312 1968321 1973137 1973164) (-1164 "SRAGG.spad" 1963475 1963486 1968302 1968307) (-1163 "SQMATRIX.spad" 1961018 1961036 1961934 1962021) (-1162 "SPLTREE.spad" 1955414 1955427 1960298 1960325) (-1161 "SPLNODE.spad" 1952002 1952015 1955404 1955409) (-1160 "SPFCAT.spad" 1950811 1950820 1951992 1951997) (-1159 "SPECOUT.spad" 1949363 1949372 1950801 1950806) (-1158 "SPADXPT.spad" 1940958 1940967 1949353 1949358) (-1157 "spad-parser.spad" 1940423 1940432 1940948 1940953) (-1156 "SPADAST.spad" 1940124 1940133 1940413 1940418) (-1155 "SPACEC.spad" 1924323 1924334 1940114 1940119) (-1154 "SPACE3.spad" 1924099 1924110 1924313 1924318) (-1153 "SORTPAK.spad" 1923648 1923661 1924055 1924060) (-1152 "SOLVETRA.spad" 1921411 1921422 1923638 1923643) (-1151 "SOLVESER.spad" 1919939 1919950 1921401 1921406) (-1150 "SOLVERAD.spad" 1915965 1915976 1919929 1919934) (-1149 "SOLVEFOR.spad" 1914427 1914445 1915955 1915960) (-1148 "SNTSCAT.spad" 1914027 1914044 1914395 1914422) (-1147 "SMTS.spad" 1912299 1912325 1913592 1913689) (-1146 "SMP.spad" 1909774 1909794 1910164 1910291) (-1145 "SMITH.spad" 1908619 1908644 1909764 1909769) (-1144 "SMATCAT.spad" 1906729 1906759 1908563 1908614) (-1143 "SMATCAT.spad" 1904771 1904803 1906607 1906612) (-1142 "SKAGG.spad" 1903734 1903745 1904739 1904766) (-1141 "SINT.spad" 1902674 1902683 1903600 1903729) (-1140 "SIMPAN.spad" 1902402 1902411 1902664 1902669) (-1139 "SIG.spad" 1901732 1901741 1902392 1902397) (-1138 "SIGNRF.spad" 1900850 1900861 1901722 1901727) (-1137 "SIGNEF.spad" 1900129 1900146 1900840 1900845) (-1136 "SIGAST.spad" 1899514 1899523 1900119 1900124) (-1135 "SHP.spad" 1897442 1897457 1899470 1899475) (-1134 "SHDP.spad" 1885120 1885147 1885629 1885728) (-1133 "SGROUP.spad" 1884728 1884737 1885110 1885115) (-1132 "SGROUP.spad" 1884334 1884345 1884718 1884723) (-1131 "SGCF.spad" 1877473 1877482 1884324 1884329) (-1130 "SFRTCAT.spad" 1876403 1876420 1877441 1877468) (-1129 "SFRGCD.spad" 1875466 1875486 1876393 1876398) (-1128 "SFQCMPK.spad" 1870103 1870123 1875456 1875461) (-1127 "SFORT.spad" 1869542 1869556 1870093 1870098) (-1126 "SEXOF.spad" 1869385 1869425 1869532 1869537) (-1125 "SEX.spad" 1869277 1869286 1869375 1869380) (-1124 "SEXCAT.spad" 1867049 1867089 1869267 1869272) (-1123 "SET.spad" 1865337 1865348 1866434 1866473) (-1122 "SETMN.spad" 1863787 1863804 1865327 1865332) (-1121 "SETCAT.spad" 1863272 1863281 1863777 1863782) (-1120 "SETCAT.spad" 1862755 1862766 1863262 1863267) (-1119 "SETAGG.spad" 1859304 1859315 1862735 1862750) (-1118 "SETAGG.spad" 1855861 1855874 1859294 1859299) (-1117 "SEQAST.spad" 1855564 1855573 1855851 1855856) (-1116 "SEGXCAT.spad" 1854720 1854733 1855554 1855559) (-1115 "SEG.spad" 1854533 1854544 1854639 1854644) (-1114 "SEGCAT.spad" 1853458 1853469 1854523 1854528) (-1113 "SEGBIND.spad" 1853216 1853227 1853405 1853410) (-1112 "SEGBIND2.spad" 1852914 1852927 1853206 1853211) (-1111 "SEGAST.spad" 1852628 1852637 1852904 1852909) (-1110 "SEG2.spad" 1852063 1852076 1852584 1852589) (-1109 "SDVAR.spad" 1851339 1851350 1852053 1852058) (-1108 "SDPOL.spad" 1848672 1848683 1848963 1849090) (-1107 "SCPKG.spad" 1846761 1846772 1848662 1848667) (-1106 "SCOPE.spad" 1845914 1845923 1846751 1846756) (-1105 "SCACHE.spad" 1844610 1844621 1845904 1845909) (-1104 "SASTCAT.spad" 1844519 1844528 1844600 1844605) (-1103 "SAOS.spad" 1844391 1844400 1844509 1844514) (-1102 "SAERFFC.spad" 1844104 1844124 1844381 1844386) (-1101 "SAE.spad" 1841574 1841590 1842185 1842320) (-1100 "SAEFACT.spad" 1841275 1841295 1841564 1841569) (-1099 "RURPK.spad" 1838934 1838950 1841265 1841270) (-1098 "RULESET.spad" 1838387 1838411 1838924 1838929) (-1097 "RULE.spad" 1836627 1836651 1838377 1838382) (-1096 "RULECOLD.spad" 1836479 1836492 1836617 1836622) (-1095 "RTVALUE.spad" 1836214 1836223 1836469 1836474) (-1094 "RSTRCAST.spad" 1835931 1835940 1836204 1836209) (-1093 "RSETGCD.spad" 1832309 1832329 1835921 1835926) (-1092 "RSETCAT.spad" 1822245 1822262 1832277 1832304) (-1091 "RSETCAT.spad" 1812201 1812220 1822235 1822240) (-1090 "RSDCMPK.spad" 1810653 1810673 1812191 1812196) (-1089 "RRCC.spad" 1809037 1809067 1810643 1810648) (-1088 "RRCC.spad" 1807419 1807451 1809027 1809032) (-1087 "RPTAST.spad" 1807121 1807130 1807409 1807414) (-1086 "RPOLCAT.spad" 1786481 1786496 1806989 1807116) (-1085 "RPOLCAT.spad" 1765554 1765571 1786064 1786069) (-1084 "ROUTINE.spad" 1760975 1760984 1763739 1763766) (-1083 "ROMAN.spad" 1760303 1760312 1760841 1760970) (-1082 "ROIRC.spad" 1759383 1759415 1760293 1760298) (-1081 "RNS.spad" 1758286 1758295 1759285 1759378) (-1080 "RNS.spad" 1757275 1757286 1758276 1758281) (-1079 "RNG.spad" 1757010 1757019 1757265 1757270) (-1078 "RNGBIND.spad" 1756170 1756184 1756965 1756970) (-1077 "RMODULE.spad" 1755935 1755946 1756160 1756165) (-1076 "RMCAT2.spad" 1755355 1755412 1755925 1755930) (-1075 "RMATRIX.spad" 1754143 1754162 1754486 1754525) (-1074 "RMATCAT.spad" 1749722 1749753 1754099 1754138) (-1073 "RMATCAT.spad" 1745191 1745224 1749570 1749575) (-1072 "RLINSET.spad" 1744895 1744906 1745181 1745186) (-1071 "RINTERP.spad" 1744783 1744803 1744885 1744890) (-1070 "RING.spad" 1744253 1744262 1744763 1744778) (-1069 "RING.spad" 1743731 1743742 1744243 1744248) (-1068 "RIDIST.spad" 1743123 1743132 1743721 1743726) (-1067 "RGCHAIN.spad" 1741651 1741667 1742553 1742580) (-1066 "RGBCSPC.spad" 1741432 1741444 1741641 1741646) (-1065 "RGBCMDL.spad" 1740962 1740974 1741422 1741427) (-1064 "RF.spad" 1738604 1738615 1740952 1740957) (-1063 "RFFACTOR.spad" 1738066 1738077 1738594 1738599) (-1062 "RFFACT.spad" 1737801 1737813 1738056 1738061) (-1061 "RFDIST.spad" 1736797 1736806 1737791 1737796) (-1060 "RETSOL.spad" 1736216 1736229 1736787 1736792) (-1059 "RETRACT.spad" 1735644 1735655 1736206 1736211) (-1058 "RETRACT.spad" 1735070 1735083 1735634 1735639) (-1057 "RETAST.spad" 1734882 1734891 1735060 1735065) (-1056 "RESULT.spad" 1732480 1732489 1733067 1733094) (-1055 "RESRING.spad" 1731827 1731874 1732418 1732475) (-1054 "RESLATC.spad" 1731151 1731162 1731817 1731822) (-1053 "REPSQ.spad" 1730882 1730893 1731141 1731146) (-1052 "REP.spad" 1728436 1728445 1730872 1730877) (-1051 "REPDB.spad" 1728143 1728154 1728426 1728431) (-1050 "REP2.spad" 1717801 1717812 1727985 1727990) (-1049 "REP1.spad" 1711997 1712008 1717751 1717756) (-1048 "REGSET.spad" 1709758 1709775 1711607 1711634) (-1047 "REF.spad" 1709093 1709104 1709713 1709718) (-1046 "REDORDER.spad" 1708299 1708316 1709083 1709088) (-1045 "RECLOS.spad" 1707082 1707102 1707786 1707879) (-1044 "REALSOLV.spad" 1706222 1706231 1707072 1707077) (-1043 "REAL.spad" 1706094 1706103 1706212 1706217) (-1042 "REAL0Q.spad" 1703392 1703407 1706084 1706089) (-1041 "REAL0.spad" 1700236 1700251 1703382 1703387) (-1040 "RDUCEAST.spad" 1699957 1699966 1700226 1700231) (-1039 "RDIV.spad" 1699612 1699637 1699947 1699952) (-1038 "RDIST.spad" 1699179 1699190 1699602 1699607) (-1037 "RDETRS.spad" 1698043 1698061 1699169 1699174) (-1036 "RDETR.spad" 1696182 1696200 1698033 1698038) (-1035 "RDEEFS.spad" 1695281 1695298 1696172 1696177) (-1034 "RDEEF.spad" 1694291 1694308 1695271 1695276) (-1033 "RCFIELD.spad" 1691477 1691486 1694193 1694286) (-1032 "RCFIELD.spad" 1688749 1688760 1691467 1691472) (-1031 "RCAGG.spad" 1686677 1686688 1688739 1688744) (-1030 "RCAGG.spad" 1684532 1684545 1686596 1686601) (-1029 "RATRET.spad" 1683892 1683903 1684522 1684527) (-1028 "RATFACT.spad" 1683584 1683596 1683882 1683887) (-1027 "RANDSRC.spad" 1682903 1682912 1683574 1683579) (-1026 "RADUTIL.spad" 1682659 1682668 1682893 1682898) (-1025 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1655112 1655117) (-1006 "PWFFINTB.spad" 1650532 1650554 1653107 1653112) (-1005 "PUSHVAR.spad" 1649870 1649890 1650522 1650527) (-1004 "PTRANFN.spad" 1645997 1646008 1649860 1649865) (-1003 "PTPACK.spad" 1643084 1643095 1645987 1645992) (-1002 "PTFUNC2.spad" 1642906 1642921 1643074 1643079) (-1001 "PTCAT.spad" 1642160 1642171 1642874 1642901) (-1000 "PSQFR.spad" 1641466 1641491 1642150 1642155) (-999 "PSEUDLIN.spad" 1640352 1640362 1641456 1641461) (-998 "PSETPK.spad" 1625785 1625801 1640230 1640235) (-997 "PSETCAT.spad" 1619705 1619728 1625765 1625780) (-996 "PSETCAT.spad" 1613599 1613624 1619661 1619666) (-995 "PSCURVE.spad" 1612582 1612590 1613589 1613594) (-994 "PSCAT.spad" 1611365 1611394 1612480 1612577) (-993 "PSCAT.spad" 1610238 1610269 1611355 1611360) (-992 "PRTITION.spad" 1608936 1608944 1610228 1610233) (-991 "PRTDAST.spad" 1608655 1608663 1608926 1608931) (-990 "PRS.spad" 1598217 1598234 1608611 1608616) (-989 "PRQAGG.spad" 1597652 1597662 1598185 1598212) (-988 "PROPLOG.spad" 1597224 1597232 1597642 1597647) (-987 "PROPFUN2.spad" 1596847 1596860 1597214 1597219) (-986 "PROPFUN1.spad" 1596245 1596256 1596837 1596842) (-985 "PROPFRML.spad" 1594813 1594824 1596235 1596240) (-984 "PROPERTY.spad" 1594301 1594309 1594803 1594808) (-983 "PRODUCT.spad" 1591983 1591995 1592267 1592322) (-982 "PR.spad" 1590375 1590387 1591074 1591201) (-981 "PRINT.spad" 1590127 1590135 1590365 1590370) (-980 "PRIMES.spad" 1588380 1588390 1590117 1590122) (-979 "PRIMELT.spad" 1586461 1586475 1588370 1588375) (-978 "PRIMCAT.spad" 1586088 1586096 1586451 1586456) (-977 "PRIMARR.spad" 1584940 1584950 1585118 1585145) (-976 "PRIMARR2.spad" 1583707 1583719 1584930 1584935) (-975 "PREASSOC.spad" 1583089 1583101 1583697 1583702) (-974 "PPCURVE.spad" 1582226 1582234 1583079 1583084) (-973 "PORTNUM.spad" 1582001 1582009 1582216 1582221) (-972 "POLYROOT.spad" 1580850 1580872 1581957 1581962) (-971 "POLY.spad" 1578185 1578195 1578700 1578827) (-970 "POLYLIFT.spad" 1577450 1577473 1578175 1578180) (-969 "POLYCATQ.spad" 1575568 1575590 1577440 1577445) (-968 "POLYCAT.spad" 1569038 1569059 1575436 1575563) (-967 "POLYCAT.spad" 1561846 1561869 1568246 1568251) (-966 "POLY2UP.spad" 1561298 1561312 1561836 1561841) (-965 "POLY2.spad" 1560895 1560907 1561288 1561293) (-964 "POLUTIL.spad" 1559836 1559865 1560851 1560856) (-963 "POLTOPOL.spad" 1558584 1558599 1559826 1559831) (-962 "POINT.spad" 1557269 1557279 1557356 1557383) (-961 "PNTHEORY.spad" 1553971 1553979 1557259 1557264) (-960 "PMTOOLS.spad" 1552746 1552760 1553961 1553966) (-959 "PMSYM.spad" 1552295 1552305 1552736 1552741) (-958 "PMQFCAT.spad" 1551886 1551900 1552285 1552290) (-957 "PMPRED.spad" 1551365 1551379 1551876 1551881) (-956 "PMPREDFS.spad" 1550819 1550841 1551355 1551360) (-955 "PMPLCAT.spad" 1549899 1549917 1550751 1550756) (-954 "PMLSAGG.spad" 1549484 1549498 1549889 1549894) (-953 "PMKERNEL.spad" 1549063 1549075 1549474 1549479) (-952 "PMINS.spad" 1548643 1548653 1549053 1549058) (-951 "PMFS.spad" 1548220 1548238 1548633 1548638) (-950 "PMDOWN.spad" 1547510 1547524 1548210 1548215) (-949 "PMASS.spad" 1546520 1546528 1547500 1547505) (-948 "PMASSFS.spad" 1545487 1545503 1546510 1546515) (-947 "PLOTTOOL.spad" 1545267 1545275 1545477 1545482) (-946 "PLOT.spad" 1540190 1540198 1545257 1545262) (-945 "PLOT3D.spad" 1536654 1536662 1540180 1540185) (-944 "PLOT1.spad" 1535811 1535821 1536644 1536649) (-943 "PLEQN.spad" 1523101 1523128 1535801 1535806) (-942 "PINTERP.spad" 1522723 1522742 1523091 1523096) (-941 "PINTERPA.spad" 1522507 1522523 1522713 1522718) (-940 "PI.spad" 1522116 1522124 1522481 1522502) (-939 "PID.spad" 1521086 1521094 1522042 1522111) (-938 "PICOERCE.spad" 1520743 1520753 1521076 1521081) (-937 "PGROEB.spad" 1519344 1519358 1520733 1520738) (-936 "PGE.spad" 1510961 1510969 1519334 1519339) (-935 "PGCD.spad" 1509851 1509868 1510951 1510956) (-934 "PFRPAC.spad" 1509000 1509010 1509841 1509846) (-933 "PFR.spad" 1505663 1505673 1508902 1508995) (-932 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(-857 "ORDFUNS.spad" 1398447 1398463 1399305 1399310) (-856 "ORDFIN.spad" 1398267 1398275 1398437 1398442) (-855 "ORDCOMP.spad" 1396732 1396742 1397814 1397843) (-854 "ORDCOMP2.spad" 1396025 1396037 1396722 1396727) (-853 "OPTPROB.spad" 1394663 1394671 1396015 1396020) (-852 "OPTPACK.spad" 1387072 1387080 1394653 1394658) (-851 "OPTCAT.spad" 1384751 1384759 1387062 1387067) (-850 "OPSIG.spad" 1384405 1384413 1384741 1384746) (-849 "OPQUERY.spad" 1383954 1383962 1384395 1384400) (-848 "OP.spad" 1383696 1383706 1383776 1383843) (-847 "OPERCAT.spad" 1383162 1383172 1383686 1383691) (-846 "OPERCAT.spad" 1382626 1382638 1383152 1383157) (-845 "ONECOMP.spad" 1381371 1381381 1382173 1382202) (-844 "ONECOMP2.spad" 1380795 1380807 1381361 1381366) (-843 "OMSERVER.spad" 1379801 1379809 1380785 1380790) (-842 "OMSAGG.spad" 1379589 1379599 1379757 1379796) (-841 "OMPKG.spad" 1378205 1378213 1379579 1379584) (-840 "OM.spad" 1377178 1377186 1378195 1378200) (-839 "OMLO.spad" 1376603 1376615 1377064 1377103) (-838 "OMEXPR.spad" 1376437 1376447 1376593 1376598) (-837 "OMERR.spad" 1375982 1375990 1376427 1376432) (-836 "OMERRK.spad" 1375016 1375024 1375972 1375977) (-835 "OMENC.spad" 1374360 1374368 1375006 1375011) (-834 "OMDEV.spad" 1368669 1368677 1374350 1374355) (-833 "OMCONN.spad" 1368078 1368086 1368659 1368664) (-832 "OINTDOM.spad" 1367841 1367849 1368004 1368073) (-831 "OFMONOID.spad" 1365964 1365974 1367797 1367802) (-830 "ODVAR.spad" 1365225 1365235 1365954 1365959) (-829 "ODR.spad" 1364869 1364895 1365037 1365186) (-828 "ODPOL.spad" 1362158 1362168 1362498 1362625) (-827 "ODP.spad" 1349972 1349992 1350345 1350444) (-826 "ODETOOLS.spad" 1348621 1348640 1349962 1349967) (-825 "ODESYS.spad" 1346315 1346332 1348611 1348616) (-824 "ODERTRIC.spad" 1342324 1342341 1346272 1346277) (-823 "ODERED.spad" 1341723 1341747 1342314 1342319) (-822 "ODERAT.spad" 1339338 1339355 1341713 1341718) (-821 "ODEPRRIC.spad" 1336375 1336397 1339328 1339333) (-820 "ODEPROB.spad" 1335632 1335640 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(-725 "MODMONOM.spad" 1133070 1133088 1133329 1133334) (-724 "MODMON.spad" 1129772 1129788 1130491 1130644) (-723 "MODFIELD.spad" 1129134 1129173 1129674 1129767) (-722 "MMLFORM.spad" 1127994 1128002 1129124 1129129) (-721 "MMAP.spad" 1127736 1127770 1127984 1127989) (-720 "MLO.spad" 1126195 1126205 1127692 1127731) (-719 "MLIFT.spad" 1124807 1124824 1126185 1126190) (-718 "MKUCFUNC.spad" 1124342 1124360 1124797 1124802) (-717 "MKRECORD.spad" 1123946 1123959 1124332 1124337) (-716 "MKFUNC.spad" 1123353 1123363 1123936 1123941) (-715 "MKFLCFN.spad" 1122321 1122331 1123343 1123348) (-714 "MKBCFUNC.spad" 1121816 1121834 1122311 1122316) (-713 "MINT.spad" 1121255 1121263 1121718 1121811) (-712 "MHROWRED.spad" 1119766 1119776 1121245 1121250) (-711 "MFLOAT.spad" 1118286 1118294 1119656 1119761) (-710 "MFINFACT.spad" 1117686 1117708 1118276 1118281) (-709 "MESH.spad" 1115468 1115476 1117676 1117681) (-708 "MDDFACT.spad" 1113679 1113689 1115458 1115463) (-707 "MDAGG.spad" 1112970 1112980 1113659 1113674) (-706 "MCMPLX.spad" 1108401 1108409 1109015 1109216) (-705 "MCDEN.spad" 1107611 1107623 1108391 1108396) (-704 "MCALCFN.spad" 1104733 1104759 1107601 1107606) (-703 "MAYBE.spad" 1104017 1104028 1104723 1104728) (-702 "MATSTOR.spad" 1101325 1101335 1104007 1104012) (-701 "MATRIX.spad" 1099912 1099922 1100396 1100423) (-700 "MATLIN.spad" 1097256 1097280 1099796 1099801) (-699 "MATCAT.spad" 1088778 1088800 1097224 1097251) (-698 "MATCAT.spad" 1080172 1080196 1088620 1088625) (-697 "MATCAT2.spad" 1079454 1079502 1080162 1080167) (-696 "MAPPKG3.spad" 1078369 1078383 1079444 1079449) (-695 "MAPPKG2.spad" 1077707 1077719 1078359 1078364) (-694 "MAPPKG1.spad" 1076535 1076545 1077697 1077702) (-693 "MAPPAST.spad" 1075850 1075858 1076525 1076530) (-692 "MAPHACK3.spad" 1075662 1075676 1075840 1075845) (-691 "MAPHACK2.spad" 1075431 1075443 1075652 1075657) (-690 "MAPHACK1.spad" 1075075 1075085 1075421 1075426) (-689 "MAGMA.spad" 1072865 1072882 1075065 1075070) (-688 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(-650 "LINDEP.spad" 1021127 1021139 1022230 1022235) (-649 "LIMITRF.spad" 1019055 1019065 1021117 1021122) (-648 "LIMITPS.spad" 1017958 1017971 1019045 1019050) (-647 "LIE.spad" 1015974 1015986 1017248 1017393) (-646 "LIECAT.spad" 1015450 1015460 1015900 1015969) (-645 "LIECAT.spad" 1014954 1014966 1015406 1015411) (-644 "LIB.spad" 1012705 1012713 1013151 1013166) (-643 "LGROBP.spad" 1010058 1010077 1012695 1012700) (-642 "LF.spad" 1009013 1009029 1010048 1010053) (-641 "LFCAT.spad" 1008072 1008080 1009003 1009008) (-640 "LEXTRIPK.spad" 1003575 1003590 1008062 1008067) (-639 "LEXP.spad" 1001578 1001605 1003555 1003570) (-638 "LETAST.spad" 1001277 1001285 1001568 1001573) (-637 "LEADCDET.spad" 999675 999692 1001267 1001272) (-636 "LAZM3PK.spad" 998379 998401 999665 999670) (-635 "LAUPOL.spad" 996979 996992 997879 997948) (-634 "LAPLACE.spad" 996562 996578 996969 996974) (-633 "LA.spad" 996002 996016 996484 996523) (-632 "LALG.spad" 995778 995788 995982 995997) (-631 "LALG.spad" 995562 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(-283 "E04UCFA.spad" 384565 384573 385019 385024) (-282 "E04NAFA.spad" 384142 384150 384555 384560) (-281 "E04MBFA.spad" 383722 383730 384132 384137) (-280 "E04JAFA.spad" 383258 383266 383712 383717) (-279 "E04GCFA.spad" 382794 382802 383248 383253) (-278 "E04FDFA.spad" 382330 382338 382784 382789) (-277 "E04DGFA.spad" 381866 381874 382320 382325) (-276 "E04AGNT.spad" 377716 377724 381856 381861) (-275 "DVARCAT.spad" 374606 374616 377706 377711) (-274 "DVARCAT.spad" 371494 371506 374596 374601) (-273 "DSMP.spad" 368868 368882 369173 369300) (-272 "DSEXT.spad" 368170 368180 368858 368863) (-271 "DSEXT.spad" 367379 367391 368069 368074) (-270 "DROPT.spad" 361338 361346 367369 367374) (-269 "DROPT1.spad" 361003 361013 361328 361333) (-268 "DROPT0.spad" 355860 355868 360993 360998) (-267 "DRAWPT.spad" 354033 354041 355850 355855) (-266 "DRAW.spad" 346909 346922 354023 354028) (-265 "DRAWHACK.spad" 346217 346227 346899 346904) (-264 "DRAWCX.spad" 343687 343695 346207 346212) (-263 "DRAWCURV.spad" 343234 343249 343677 343682) (-262 "DRAWCFUN.spad" 332766 332774 343224 343229) (-261 "DQAGG.spad" 330944 330954 332734 332761) (-260 "DPOLCAT.spad" 326293 326309 330812 330939) (-259 "DPOLCAT.spad" 321728 321746 326249 326254) (-258 "DPMO.spad" 313488 313504 313626 313839) (-257 "DPMM.spad" 305261 305279 305386 305599) (-256 "DOMTMPLT.spad" 305032 305040 305251 305256) (-255 "DOMCTOR.spad" 304787 304795 305022 305027) (-254 "DOMAIN.spad" 303874 303882 304777 304782) (-253 "DMP.spad" 301134 301149 301704 301831) (-252 "DMEXT.spad" 301001 301011 301102 301129) (-251 "DLP.spad" 300353 300363 300991 300996) (-250 "DLIST.spad" 298779 298789 299383 299410) (-249 "DLAGG.spad" 297196 297206 298769 298774) (-248 "DIVRING.spad" 296738 296746 297140 297191) (-247 "DIVRING.spad" 296324 296334 296728 296733) (-246 "DISPLAY.spad" 294514 294522 296314 296319) (-245 "DIRPROD.spad" 282061 282077 282701 282800) (-244 "DIRPROD2.spad" 280879 280897 282051 282056) (-243 "DIRPCAT.spad" 280072 280088 280775 280874) (-242 "DIRPCAT.spad" 278892 278910 279597 279602) (-241 "DIOSP.spad" 277717 277725 278882 278887) (-240 "DIOPS.spad" 276713 276723 277697 277712) (-239 "DIOPS.spad" 275683 275695 276669 276674) (-238 "DIFRING.spad" 275521 275529 275663 275678) (-237 "DIFFSPC.spad" 275100 275108 275511 275516) (-236 "DIFFSPC.spad" 274677 274687 275090 275095) (-235 "DIFFMOD.spad" 274166 274176 274645 274672) (-234 "DIFFDOM.spad" 273331 273342 274156 274161) (-233 "DIFFDOM.spad" 272494 272507 273321 273326) (-232 "DIFEXT.spad" 272313 272323 272474 272489) (-231 "DIAGG.spad" 271943 271953 272293 272308) (-230 "DIAGG.spad" 271581 271593 271933 271938) (-229 "DHMATRIX.spad" 269776 269786 270921 270948) (-228 "DFSFUN.spad" 263416 263424 269766 269771) (-227 "DFLOAT.spad" 260147 260155 263306 263411) (-226 "DFINTTLS.spad" 258378 258394 260137 260142) (-225 "DERHAM.spad" 256292 256324 258358 258373) (-224 "DEQUEUE.spad" 255499 255509 255782 255809) (-223 "DEGRED.spad" 255116 255130 255489 255494) (-222 "DEFINTRF.spad" 252653 252663 255106 255111) (-221 "DEFINTEF.spad" 251163 251179 252643 252648) (-220 "DEFAST.spad" 250531 250539 251153 251158) (-219 "DECIMAL.spad" 248540 248548 248901 248994) (-218 "DDFACT.spad" 246353 246370 248530 248535) (-217 "DBLRESP.spad" 245953 245977 246343 246348) (-216 "DBASE.spad" 244617 244627 245943 245948) (-215 "DATAARY.spad" 244079 244092 244607 244612) (-214 "D03FAFA.spad" 243907 243915 244069 244074) (-213 "D03EEFA.spad" 243727 243735 243897 243902) (-212 "D03AGNT.spad" 242813 242821 243717 243722) (-211 "D02EJFA.spad" 242275 242283 242803 242808) (-210 "D02CJFA.spad" 241753 241761 242265 242270) (-209 "D02BHFA.spad" 241243 241251 241743 241748) (-208 "D02BBFA.spad" 240733 240741 241233 241238) (-207 "D02AGNT.spad" 235547 235555 240723 240728) (-206 "D01WGTS.spad" 233866 233874 235537 235542) (-205 "D01TRNS.spad" 233843 233851 233856 233861) (-204 "D01GBFA.spad" 233365 233373 233833 233838) (-203 "D01FCFA.spad" 232887 232895 233355 233360) (-202 "D01ASFA.spad" 232355 232363 232877 232882) (-201 "D01AQFA.spad" 231801 231809 232345 232350) (-200 "D01APFA.spad" 231225 231233 231791 231796) (-199 "D01ANFA.spad" 230719 230727 231215 231220) (-198 "D01AMFA.spad" 230229 230237 230709 230714) (-197 "D01ALFA.spad" 229769 229777 230219 230224) (-196 "D01AKFA.spad" 229295 229303 229759 229764) (-195 "D01AJFA.spad" 228818 228826 229285 229290) (-194 "D01AGNT.spad" 224885 224893 228808 228813) (-193 "CYCLOTOM.spad" 224391 224399 224875 224880) (-192 "CYCLES.spad" 221183 221191 224381 224386) (-191 "CVMP.spad" 220600 220610 221173 221178) (-190 "CTRIGMNP.spad" 219100 219116 220590 220595) (-189 "CTOR.spad" 218791 218799 219090 219095) (-188 "CTORKIND.spad" 218394 218402 218781 218786) (-187 "CTORCAT.spad" 217643 217651 218384 218389) (-186 "CTORCAT.spad" 216890 216900 217633 217638) (-185 "CTORCALL.spad" 216479 216489 216880 216885) (-184 "CSTTOOLS.spad" 215724 215737 216469 216474) (-183 "CRFP.spad" 209448 209461 215714 215719) (-182 "CRCEAST.spad" 209168 209176 209438 209443) (-181 "CRAPACK.spad" 208219 208229 209158 209163) (-180 "CPMATCH.spad" 207723 207738 208144 208149) (-179 "CPIMA.spad" 207428 207447 207713 207718) (-178 "COORDSYS.spad" 202437 202447 207418 207423) (-177 "CONTOUR.spad" 201848 201856 202427 202432) (-176 "CONTFRAC.spad" 197598 197608 201750 201843) (-175 "CONDUIT.spad" 197356 197364 197588 197593) (-174 "COMRING.spad" 197030 197038 197294 197351) (-173 "COMPPROP.spad" 196548 196556 197020 197025) (-172 "COMPLPAT.spad" 196315 196330 196538 196543) (-171 "COMPLEX.spad" 191692 191702 191936 192197) (-170 "COMPLEX2.spad" 191407 191419 191682 191687) (-169 "COMPILER.spad" 190956 190964 191397 191402) (-168 "COMPFACT.spad" 190558 190572 190946 190951) (-167 "COMPCAT.spad" 188630 188640 190292 190553) (-166 "COMPCAT.spad" 186430 186442 188094 188099) (-165 "COMMUPC.spad" 186178 186196 186420 186425) (-164 "COMMONOP.spad" 185711 185719 186168 186173) (-163 "COMM.spad" 185522 185530 185701 185706) (-162 "COMMAAST.spad" 185285 185293 185512 185517) (-161 "COMBOPC.spad" 184200 184208 185275 185280) (-160 "COMBINAT.spad" 182967 182977 184190 184195) (-159 "COMBF.spad" 180349 180365 182957 182962) (-158 "COLOR.spad" 179186 179194 180339 180344) (-157 "COLONAST.spad" 178852 178860 179176 179181) (-156 "CMPLXRT.spad" 178563 178580 178842 178847) (-155 "CLLCTAST.spad" 178225 178233 178553 178558) (-154 "CLIP.spad" 174333 174341 178215 178220) (-153 "CLIF.spad" 172988 173004 174289 174328) (-152 "CLAGG.spad" 169493 169503 172978 172983) (-151 "CLAGG.spad" 165869 165881 169356 169361) (-150 "CINTSLPE.spad" 165200 165213 165859 165864) (-149 "CHVAR.spad" 163338 163360 165190 165195) (-148 "CHARZ.spad" 163253 163261 163318 163333) (-147 "CHARPOL.spad" 162763 162773 163243 163248) (-146 "CHARNZ.spad" 162516 162524 162743 162758) (-145 "CHAR.spad" 160390 160398 162506 162511) (-144 "CFCAT.spad" 159718 159726 160380 160385) (-143 "CDEN.spad" 158914 158928 159708 159713) (-142 "CCLASS.spad" 157025 157033 158287 158326) (-141 "CATEGORY.spad" 156067 156075 157015 157020) (-140 "CATCTOR.spad" 155958 155966 156057 156062) (-139 "CATAST.spad" 155576 155584 155948 155953) (-138 "CASEAST.spad" 155290 155298 155566 155571) (-137 "CARTEN.spad" 150657 150681 155280 155285) (-136 "CARTEN2.spad" 150047 150074 150647 150652) (-135 "CARD.spad" 147342 147350 150021 150042) (-134 "CAPSLAST.spad" 147116 147124 147332 147337) (-133 "CACHSET.spad" 146740 146748 147106 147111) (-132 "CABMON.spad" 146295 146303 146730 146735) (-131 "BYTEORD.spad" 145970 145978 146285 146290) (-130 "BYTE.spad" 145397 145405 145960 145965) (-129 "BYTEBUF.spad" 143095 143103 144405 144432) (-128 "BTREE.spad" 142051 142061 142585 142612) (-127 "BTOURN.spad" 140939 140949 141541 141568) (-126 "BTCAT.spad" 140331 140341 140907 140934) (-125 "BTCAT.spad" 139743 139755 140321 140326) (-124 "BTAGG.spad" 139209 139217 139711 139738) (-123 "BTAGG.spad" 138695 138705 139199 139204) (-122 "BSTREE.spad" 137319 137329 138185 138212) (-121 "BRILL.spad" 135516 135527 137309 137314) (-120 "BRAGG.spad" 134456 134466 135506 135511) (-119 "BRAGG.spad" 133360 133372 134412 134417) (-118 "BPADICRT.spad" 131234 131246 131489 131582) (-117 "BPADIC.spad" 130898 130910 131160 131229) (-116 "BOUNDZRO.spad" 130554 130571 130888 130893) (-115 "BOP.spad" 125736 125744 130544 130549) (-114 "BOP1.spad" 123202 123212 125726 125731) (-113 "BOOLE.spad" 122852 122860 123192 123197) (-112 "BOOLEAN.spad" 122290 122298 122842 122847) (-111 "BMODULE.spad" 122002 122014 122258 122285) (-110 "BITS.spad" 121385 121393 121600 121627) (-109 "BINDING.spad" 120798 120806 121375 121380) (-108 "BINARY.spad" 118812 118820 119168 119261) (-107 "BGAGG.spad" 118017 118027 118792 118807) (-106 "BGAGG.spad" 117230 117242 118007 118012) (-105 "BFUNCT.spad" 116794 116802 117210 117225) (-104 "BEZOUT.spad" 115934 115961 116744 116749) (-103 "BBTREE.spad" 112662 112672 115424 115451) (-102 "BASTYPE.spad" 112158 112166 112652 112657) (-101 "BASTYPE.spad" 111652 111662 112148 112153) (-100 "BALFACT.spad" 111111 111124 111642 111647) (-99 "AUTOMOR.spad" 110562 110571 111091 111106) (-98 "ATTREG.spad" 107285 107292 110314 110557) (-97 "ATTRBUT.spad" 103308 103315 107265 107280) (-96 "ATTRAST.spad" 103025 103032 103298 103303) (-95 "ATRIG.spad" 102495 102502 103015 103020) (-94 "ATRIG.spad" 101963 101972 102485 102490) (-93 "ASTCAT.spad" 101867 101874 101953 101958) (-92 "ASTCAT.spad" 101769 101778 101857 101862) (-91 "ASTACK.spad" 100991 101000 101259 101286) (-90 "ASSOCEQ.spad" 99817 99828 100947 100952) (-89 "ASP9.spad" 98898 98911 99807 99812) (-88 "ASP8.spad" 97941 97954 98888 98893) (-87 "ASP80.spad" 97263 97276 97931 97936) (-86 "ASP7.spad" 96423 96436 97253 97258) (-85 "ASP78.spad" 95874 95887 96413 96418) (-84 "ASP77.spad" 95243 95256 95864 95869) (-83 "ASP74.spad" 94335 94348 95233 95238) (-82 "ASP73.spad" 93606 93619 94325 94330) (-81 "ASP6.spad" 92473 92486 93596 93601) (-80 "ASP55.spad" 90982 90995 92463 92468) (-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 "ARR2CAT.spad" 49107 49130 53303 53308) (-55 "ARITY.spad" 48479 48486 49097 49102) (-54 "APPRULE.spad" 47739 47761 48469 48474) (-53 "APPLYORE.spad" 47358 47371 47729 47734) (-52 "ANY.spad" 46217 46224 47348 47353) (-51 "ANY1.spad" 45288 45297 46207 46212) (-50 "ANTISYM.spad" 43733 43749 45268 45283) (-49 "ANON.spad" 43426 43433 43723 43728) (-48 "AN.spad" 41735 41742 43242 43335) (-47 "AMR.spad" 39920 39931 41633 41730) (-46 "AMR.spad" 37942 37955 39657 39662) (-45 "ALIST.spad" 34842 34863 35192 35219) (-44 "ALGSC.spad" 33977 34003 34714 34767) (-43 "ALGPKG.spad" 29760 29771 33933 33938) (-42 "ALGMFACT.spad" 28953 28967 29750 29755) (-41 "ALGMANIP.spad" 26427 26442 28786 28791) (-40 "ALGFF.spad" 24068 24095 24285 24441) (-39 "ALGFACT.spad" 23195 23205 24058 24063) (-38 "ALGEBRA.spad" 23028 23037 23151 23190) (-37 "ALGEBRA.spad" 22893 22904 23018 23023) (-36 "ALAGG.spad" 22405 22426 22861 22888) (-35 "AHYP.spad" 21786 21793 22395 22400) (-34 "AGG.spad" 20103 20110 21776 21781) (-33 "AGG.spad" 18384 18393 20059 20064) (-32 "AF.spad" 16815 16830 18319 18324) (-31 "ADDAST.spad" 16493 16500 16805 16810) (-30 "ACPLOT.spad" 15084 15091 16483 16488) (-29 "ACFS.spad" 12893 12902 14986 15079) (-28 "ACFS.spad" 10788 10799 12883 12888) (-27 "ACF.spad" 7470 7477 10690 10783) (-26 "ACF.spad" 4238 4247 7460 7465) (-25 "ABELSG.spad" 3779 3786 4228 4233) (-24 "ABELSG.spad" 3318 3327 3769 3774) (-23 "ABELMON.spad" 2861 2868 3308 3313) (-22 "ABELMON.spad" 2402 2411 2851 2856) (-21 "ABELGRP.spad" 2067 2074 2392 2397) (-20 "ABELGRP.spad" 1730 1739 2057 2062) (-19 "A1AGG.spad" 870 879 1698 1725) (-18 "A1AGG.spad" 30 41 860 865))
\ No newline at end of file +((-3 NIL 2294127 2294132 2294137 2294142) (-2 NIL 2294107 2294112 2294117 2294122) (-1 NIL 2294087 2294092 2294097 2294102) (0 NIL 2294067 2294072 2294077 2294082) (-1317 "ZMOD.spad" 2293876 2293889 2294005 2294062) (-1316 "ZLINDEP.spad" 2292942 2292953 2293866 2293871) (-1315 "ZDSOLVE.spad" 2282887 2282909 2292932 2292937) (-1314 "YSTREAM.spad" 2282382 2282393 2282877 2282882) (-1313 "YDIAGRAM.spad" 2282016 2282025 2282372 2282377) (-1312 "XRPOLY.spad" 2281236 2281256 2281872 2281941) (-1311 "XPR.spad" 2279031 2279044 2280954 2281053) (-1310 "XPOLY.spad" 2278586 2278597 2278887 2278956) (-1309 "XPOLYC.spad" 2277905 2277921 2278512 2278581) (-1308 "XPBWPOLY.spad" 2276342 2276362 2277685 2277754) (-1307 "XF.spad" 2274805 2274820 2276244 2276337) (-1306 "XF.spad" 2273248 2273265 2274689 2274694) (-1305 "XFALG.spad" 2270296 2270312 2273174 2273243) (-1304 "XEXPPKG.spad" 2269547 2269573 2270286 2270291) (-1303 "XDPOLY.spad" 2269161 2269177 2269403 2269472) (-1302 "XALG.spad" 2268821 2268832 2269117 2269156) (-1301 "WUTSET.spad" 2264624 2264641 2268431 2268458) (-1300 "WP.spad" 2263823 2263867 2264482 2264549) (-1299 "WHILEAST.spad" 2263621 2263630 2263813 2263818) (-1298 "WHEREAST.spad" 2263292 2263301 2263611 2263616) (-1297 "WFFINTBS.spad" 2260955 2260977 2263282 2263287) (-1296 "WEIER.spad" 2259177 2259188 2260945 2260950) (-1295 "VSPACE.spad" 2258850 2258861 2259145 2259172) (-1294 "VSPACE.spad" 2258543 2258556 2258840 2258845) (-1293 "VOID.spad" 2258220 2258229 2258533 2258538) (-1292 "VIEW.spad" 2255900 2255909 2258210 2258215) (-1291 "VIEWDEF.spad" 2251101 2251110 2255890 2255895) (-1290 "VIEW3D.spad" 2235062 2235071 2251091 2251096) (-1289 "VIEW2D.spad" 2222953 2222962 2235052 2235057) (-1288 "VECTOR.spad" 2221474 2221485 2221725 2221752) (-1287 "VECTOR2.spad" 2220113 2220126 2221464 2221469) (-1286 "VECTCAT.spad" 2218017 2218028 2220081 2220108) (-1285 "VECTCAT.spad" 2215728 2215741 2217794 2217799) (-1284 "VARIABLE.spad" 2215508 2215523 2215718 2215723) (-1283 "UTYPE.spad" 2215152 2215161 2215498 2215503) (-1282 "UTSODETL.spad" 2214447 2214471 2215108 2215113) (-1281 "UTSODE.spad" 2212663 2212683 2214437 2214442) (-1280 "UTS.spad" 2207610 2207638 2211130 2211227) (-1279 "UTSCAT.spad" 2205089 2205105 2207508 2207605) (-1278 "UTSCAT.spad" 2202212 2202230 2204633 2204638) (-1277 "UTS2.spad" 2201807 2201842 2202202 2202207) (-1276 "URAGG.spad" 2196480 2196491 2201797 2201802) (-1275 "URAGG.spad" 2191117 2191130 2196436 2196441) (-1274 "UPXSSING.spad" 2188762 2188788 2190198 2190331) (-1273 "UPXS.spad" 2186058 2186086 2186894 2187043) (-1272 "UPXSCONS.spad" 2183817 2183837 2184190 2184339) (-1271 "UPXSCCA.spad" 2182388 2182408 2183663 2183812) (-1270 "UPXSCCA.spad" 2181101 2181123 2182378 2182383) (-1269 "UPXSCAT.spad" 2179690 2179706 2180947 2181096) (-1268 "UPXS2.spad" 2179233 2179286 2179680 2179685) (-1267 "UPSQFREE.spad" 2177647 2177661 2179223 2179228) (-1266 "UPSCAT.spad" 2175434 2175458 2177545 2177642) (-1265 "UPSCAT.spad" 2172927 2172953 2175040 2175045) (-1264 "UPOLYC.spad" 2167967 2167978 2172769 2172922) (-1263 "UPOLYC.spad" 2162899 2162912 2167703 2167708) (-1262 "UPOLYC2.spad" 2162370 2162389 2162889 2162894) (-1261 "UP.spad" 2159476 2159491 2159863 2160016) (-1260 "UPMP.spad" 2158376 2158389 2159466 2159471) (-1259 "UPDIVP.spad" 2157941 2157955 2158366 2158371) (-1258 "UPDECOMP.spad" 2156186 2156200 2157931 2157936) (-1257 "UPCDEN.spad" 2155395 2155411 2156176 2156181) (-1256 "UP2.spad" 2154759 2154780 2155385 2155390) (-1255 "UNISEG.spad" 2154112 2154123 2154678 2154683) (-1254 "UNISEG2.spad" 2153609 2153622 2154068 2154073) (-1253 "UNIFACT.spad" 2152712 2152724 2153599 2153604) (-1252 "ULS.spad" 2142496 2142524 2143441 2143870) (-1251 "ULSCONS.spad" 2133630 2133650 2134000 2134149) (-1250 "ULSCCAT.spad" 2131367 2131387 2133476 2133625) (-1249 "ULSCCAT.spad" 2129212 2129234 2131323 2131328) (-1248 "ULSCAT.spad" 2127444 2127460 2129058 2129207) (-1247 "ULS2.spad" 2126958 2127011 2127434 2127439) (-1246 "UINT8.spad" 2126835 2126844 2126948 2126953) (-1245 "UINT64.spad" 2126711 2126720 2126825 2126830) (-1244 "UINT32.spad" 2126587 2126596 2126701 2126706) (-1243 "UINT16.spad" 2126463 2126472 2126577 2126582) (-1242 "UFD.spad" 2125528 2125537 2126389 2126458) (-1241 "UFD.spad" 2124655 2124666 2125518 2125523) (-1240 "UDVO.spad" 2123536 2123545 2124645 2124650) (-1239 "UDPO.spad" 2121029 2121040 2123492 2123497) (-1238 "TYPE.spad" 2120961 2120970 2121019 2121024) (-1237 "TYPEAST.spad" 2120880 2120889 2120951 2120956) (-1236 "TWOFACT.spad" 2119532 2119547 2120870 2120875) (-1235 "TUPLE.spad" 2119018 2119029 2119431 2119436) (-1234 "TUBETOOL.spad" 2115885 2115894 2119008 2119013) (-1233 "TUBE.spad" 2114532 2114549 2115875 2115880) (-1232 "TS.spad" 2113131 2113147 2114097 2114194) (-1231 "TSETCAT.spad" 2100258 2100275 2113099 2113126) (-1230 "TSETCAT.spad" 2087371 2087390 2100214 2100219) (-1229 "TRMANIP.spad" 2081737 2081754 2087077 2087082) (-1228 "TRIMAT.spad" 2080700 2080725 2081727 2081732) (-1227 "TRIGMNIP.spad" 2079227 2079244 2080690 2080695) (-1226 "TRIGCAT.spad" 2078739 2078748 2079217 2079222) (-1225 "TRIGCAT.spad" 2078249 2078260 2078729 2078734) (-1224 "TREE.spad" 2076707 2076718 2077739 2077766) (-1223 "TRANFUN.spad" 2076546 2076555 2076697 2076702) (-1222 "TRANFUN.spad" 2076383 2076394 2076536 2076541) (-1221 "TOPSP.spad" 2076057 2076066 2076373 2076378) (-1220 "TOOLSIGN.spad" 2075720 2075731 2076047 2076052) (-1219 "TEXTFILE.spad" 2074281 2074290 2075710 2075715) (-1218 "TEX.spad" 2071427 2071436 2074271 2074276) (-1217 "TEX1.spad" 2070983 2070994 2071417 2071422) (-1216 "TEMUTL.spad" 2070538 2070547 2070973 2070978) (-1215 "TBCMPPK.spad" 2068631 2068654 2070528 2070533) (-1214 "TBAGG.spad" 2067681 2067704 2068611 2068626) (-1213 "TBAGG.spad" 2066739 2066764 2067671 2067676) (-1212 "TANEXP.spad" 2066147 2066158 2066729 2066734) (-1211 "TALGOP.spad" 2065871 2065882 2066137 2066142) (-1210 "TABLE.spad" 2063840 2063863 2064110 2064137) (-1209 "TABLEAU.spad" 2063321 2063332 2063830 2063835) (-1208 "TABLBUMP.spad" 2060124 2060135 2063311 2063316) (-1207 "SYSTEM.spad" 2059352 2059361 2060114 2060119) (-1206 "SYSSOLP.spad" 2056835 2056846 2059342 2059347) (-1205 "SYSPTR.spad" 2056734 2056743 2056825 2056830) (-1204 "SYSNNI.spad" 2055916 2055927 2056724 2056729) (-1203 "SYSINT.spad" 2055320 2055331 2055906 2055911) (-1202 "SYNTAX.spad" 2051526 2051535 2055310 2055315) (-1201 "SYMTAB.spad" 2049594 2049603 2051516 2051521) (-1200 "SYMS.spad" 2045617 2045626 2049584 2049589) (-1199 "SYMPOLY.spad" 2044624 2044635 2044706 2044833) (-1198 "SYMFUNC.spad" 2044125 2044136 2044614 2044619) (-1197 "SYMBOL.spad" 2041628 2041637 2044115 2044120) (-1196 "SWITCH.spad" 2038399 2038408 2041618 2041623) (-1195 "SUTS.spad" 2035447 2035475 2036866 2036963) (-1194 "SUPXS.spad" 2032730 2032758 2033579 2033728) (-1193 "SUP.spad" 2029450 2029461 2030223 2030376) (-1192 "SUPFRACF.spad" 2028555 2028573 2029440 2029445) (-1191 "SUP2.spad" 2027947 2027960 2028545 2028550) (-1190 "SUMRF.spad" 2026921 2026932 2027937 2027942) (-1189 "SUMFS.spad" 2026558 2026575 2026911 2026916) (-1188 "SULS.spad" 2016329 2016357 2017287 2017716) (-1187 "SUCHTAST.spad" 2016098 2016107 2016319 2016324) (-1186 "SUCH.spad" 2015780 2015795 2016088 2016093) (-1185 "SUBSPACE.spad" 2007895 2007910 2015770 2015775) (-1184 "SUBRESP.spad" 2007065 2007079 2007851 2007856) (-1183 "STTF.spad" 2003164 2003180 2007055 2007060) (-1182 "STTFNC.spad" 1999632 1999648 2003154 2003159) (-1181 "STTAYLOR.spad" 1992267 1992278 1999513 1999518) (-1180 "STRTBL.spad" 1990318 1990335 1990467 1990494) (-1179 "STRING.spad" 1989105 1989114 1989326 1989353) (-1178 "STREAM.spad" 1985906 1985917 1988513 1988528) (-1177 "STREAM3.spad" 1985479 1985494 1985896 1985901) (-1176 "STREAM2.spad" 1984607 1984620 1985469 1985474) (-1175 "STREAM1.spad" 1984313 1984324 1984597 1984602) (-1174 "STINPROD.spad" 1983249 1983265 1984303 1984308) (-1173 "STEP.spad" 1982450 1982459 1983239 1983244) (-1172 "STEPAST.spad" 1981684 1981693 1982440 1982445) (-1171 "STBL.spad" 1979768 1979796 1979935 1979950) (-1170 "STAGG.spad" 1978843 1978854 1979758 1979763) (-1169 "STAGG.spad" 1977916 1977929 1978833 1978838) (-1168 "STACK.spad" 1977156 1977167 1977406 1977433) (-1167 "SREGSET.spad" 1974824 1974841 1976766 1976793) (-1166 "SRDCMPK.spad" 1973385 1973405 1974814 1974819) (-1165 "SRAGG.spad" 1968528 1968537 1973353 1973380) (-1164 "SRAGG.spad" 1963691 1963702 1968518 1968523) (-1163 "SQMATRIX.spad" 1961234 1961252 1962150 1962237) (-1162 "SPLTREE.spad" 1955630 1955643 1960514 1960541) (-1161 "SPLNODE.spad" 1952218 1952231 1955620 1955625) (-1160 "SPFCAT.spad" 1951027 1951036 1952208 1952213) (-1159 "SPECOUT.spad" 1949579 1949588 1951017 1951022) (-1158 "SPADXPT.spad" 1941174 1941183 1949569 1949574) (-1157 "spad-parser.spad" 1940639 1940648 1941164 1941169) (-1156 "SPADAST.spad" 1940340 1940349 1940629 1940634) (-1155 "SPACEC.spad" 1924539 1924550 1940330 1940335) (-1154 "SPACE3.spad" 1924315 1924326 1924529 1924534) (-1153 "SORTPAK.spad" 1923864 1923877 1924271 1924276) (-1152 "SOLVETRA.spad" 1921627 1921638 1923854 1923859) (-1151 "SOLVESER.spad" 1920155 1920166 1921617 1921622) (-1150 "SOLVERAD.spad" 1916181 1916192 1920145 1920150) (-1149 "SOLVEFOR.spad" 1914643 1914661 1916171 1916176) (-1148 "SNTSCAT.spad" 1914243 1914260 1914611 1914638) (-1147 "SMTS.spad" 1912515 1912541 1913808 1913905) (-1146 "SMP.spad" 1909990 1910010 1910380 1910507) (-1145 "SMITH.spad" 1908835 1908860 1909980 1909985) (-1144 "SMATCAT.spad" 1906945 1906975 1908779 1908830) (-1143 "SMATCAT.spad" 1904987 1905019 1906823 1906828) (-1142 "SKAGG.spad" 1903950 1903961 1904955 1904982) (-1141 "SINT.spad" 1902890 1902899 1903816 1903945) (-1140 "SIMPAN.spad" 1902618 1902627 1902880 1902885) (-1139 "SIG.spad" 1901948 1901957 1902608 1902613) (-1138 "SIGNRF.spad" 1901066 1901077 1901938 1901943) (-1137 "SIGNEF.spad" 1900345 1900362 1901056 1901061) (-1136 "SIGAST.spad" 1899730 1899739 1900335 1900340) (-1135 "SHP.spad" 1897658 1897673 1899686 1899691) (-1134 "SHDP.spad" 1885336 1885363 1885845 1885944) (-1133 "SGROUP.spad" 1884944 1884953 1885326 1885331) (-1132 "SGROUP.spad" 1884550 1884561 1884934 1884939) (-1131 "SGCF.spad" 1877689 1877698 1884540 1884545) (-1130 "SFRTCAT.spad" 1876619 1876636 1877657 1877684) (-1129 "SFRGCD.spad" 1875682 1875702 1876609 1876614) (-1128 "SFQCMPK.spad" 1870319 1870339 1875672 1875677) (-1127 "SFORT.spad" 1869758 1869772 1870309 1870314) (-1126 "SEXOF.spad" 1869601 1869641 1869748 1869753) (-1125 "SEX.spad" 1869493 1869502 1869591 1869596) (-1124 "SEXCAT.spad" 1867265 1867305 1869483 1869488) (-1123 "SET.spad" 1865553 1865564 1866650 1866689) (-1122 "SETMN.spad" 1864003 1864020 1865543 1865548) (-1121 "SETCAT.spad" 1863488 1863497 1863993 1863998) (-1120 "SETCAT.spad" 1862971 1862982 1863478 1863483) (-1119 "SETAGG.spad" 1859520 1859531 1862951 1862966) (-1118 "SETAGG.spad" 1856077 1856090 1859510 1859515) (-1117 "SEQAST.spad" 1855780 1855789 1856067 1856072) (-1116 "SEGXCAT.spad" 1854936 1854949 1855770 1855775) (-1115 "SEG.spad" 1854749 1854760 1854855 1854860) (-1114 "SEGCAT.spad" 1853674 1853685 1854739 1854744) (-1113 "SEGBIND.spad" 1853432 1853443 1853621 1853626) (-1112 "SEGBIND2.spad" 1853130 1853143 1853422 1853427) (-1111 "SEGAST.spad" 1852844 1852853 1853120 1853125) (-1110 "SEG2.spad" 1852279 1852292 1852800 1852805) (-1109 "SDVAR.spad" 1851555 1851566 1852269 1852274) (-1108 "SDPOL.spad" 1848888 1848899 1849179 1849306) (-1107 "SCPKG.spad" 1846977 1846988 1848878 1848883) (-1106 "SCOPE.spad" 1846130 1846139 1846967 1846972) (-1105 "SCACHE.spad" 1844826 1844837 1846120 1846125) (-1104 "SASTCAT.spad" 1844735 1844744 1844816 1844821) (-1103 "SAOS.spad" 1844607 1844616 1844725 1844730) (-1102 "SAERFFC.spad" 1844320 1844340 1844597 1844602) (-1101 "SAE.spad" 1841790 1841806 1842401 1842536) (-1100 "SAEFACT.spad" 1841491 1841511 1841780 1841785) (-1099 "RURPK.spad" 1839150 1839166 1841481 1841486) (-1098 "RULESET.spad" 1838603 1838627 1839140 1839145) (-1097 "RULE.spad" 1836843 1836867 1838593 1838598) (-1096 "RULECOLD.spad" 1836695 1836708 1836833 1836838) (-1095 "RTVALUE.spad" 1836430 1836439 1836685 1836690) (-1094 "RSTRCAST.spad" 1836147 1836156 1836420 1836425) (-1093 "RSETGCD.spad" 1832525 1832545 1836137 1836142) (-1092 "RSETCAT.spad" 1822461 1822478 1832493 1832520) (-1091 "RSETCAT.spad" 1812417 1812436 1822451 1822456) (-1090 "RSDCMPK.spad" 1810869 1810889 1812407 1812412) (-1089 "RRCC.spad" 1809253 1809283 1810859 1810864) (-1088 "RRCC.spad" 1807635 1807667 1809243 1809248) (-1087 "RPTAST.spad" 1807337 1807346 1807625 1807630) (-1086 "RPOLCAT.spad" 1786697 1786712 1807205 1807332) (-1085 "RPOLCAT.spad" 1765770 1765787 1786280 1786285) (-1084 "ROUTINE.spad" 1761191 1761200 1763955 1763982) (-1083 "ROMAN.spad" 1760519 1760528 1761057 1761186) (-1082 "ROIRC.spad" 1759599 1759631 1760509 1760514) (-1081 "RNS.spad" 1758502 1758511 1759501 1759594) (-1080 "RNS.spad" 1757491 1757502 1758492 1758497) (-1079 "RNG.spad" 1757226 1757235 1757481 1757486) (-1078 "RNGBIND.spad" 1756386 1756400 1757181 1757186) (-1077 "RMODULE.spad" 1756151 1756162 1756376 1756381) (-1076 "RMCAT2.spad" 1755571 1755628 1756141 1756146) (-1075 "RMATRIX.spad" 1754359 1754378 1754702 1754741) (-1074 "RMATCAT.spad" 1749938 1749969 1754315 1754354) (-1073 "RMATCAT.spad" 1745407 1745440 1749786 1749791) (-1072 "RLINSET.spad" 1745111 1745122 1745397 1745402) (-1071 "RINTERP.spad" 1744999 1745019 1745101 1745106) (-1070 "RING.spad" 1744469 1744478 1744979 1744994) (-1069 "RING.spad" 1743947 1743958 1744459 1744464) (-1068 "RIDIST.spad" 1743339 1743348 1743937 1743942) (-1067 "RGCHAIN.spad" 1741867 1741883 1742769 1742796) (-1066 "RGBCSPC.spad" 1741648 1741660 1741857 1741862) (-1065 "RGBCMDL.spad" 1741178 1741190 1741638 1741643) (-1064 "RF.spad" 1738820 1738831 1741168 1741173) (-1063 "RFFACTOR.spad" 1738282 1738293 1738810 1738815) (-1062 "RFFACT.spad" 1738017 1738029 1738272 1738277) (-1061 "RFDIST.spad" 1737013 1737022 1738007 1738012) (-1060 "RETSOL.spad" 1736432 1736445 1737003 1737008) (-1059 "RETRACT.spad" 1735860 1735871 1736422 1736427) (-1058 "RETRACT.spad" 1735286 1735299 1735850 1735855) (-1057 "RETAST.spad" 1735098 1735107 1735276 1735281) (-1056 "RESULT.spad" 1732696 1732705 1733283 1733310) (-1055 "RESRING.spad" 1732043 1732090 1732634 1732691) (-1054 "RESLATC.spad" 1731367 1731378 1732033 1732038) (-1053 "REPSQ.spad" 1731098 1731109 1731357 1731362) (-1052 "REP.spad" 1728652 1728661 1731088 1731093) (-1051 "REPDB.spad" 1728359 1728370 1728642 1728647) (-1050 "REP2.spad" 1718017 1718028 1728201 1728206) (-1049 "REP1.spad" 1712213 1712224 1717967 1717972) (-1048 "REGSET.spad" 1709974 1709991 1711823 1711850) (-1047 "REF.spad" 1709309 1709320 1709929 1709934) (-1046 "REDORDER.spad" 1708515 1708532 1709299 1709304) (-1045 "RECLOS.spad" 1707298 1707318 1708002 1708095) (-1044 "REALSOLV.spad" 1706438 1706447 1707288 1707293) (-1043 "REAL.spad" 1706310 1706319 1706428 1706433) (-1042 "REAL0Q.spad" 1703608 1703623 1706300 1706305) (-1041 "REAL0.spad" 1700452 1700467 1703598 1703603) (-1040 "RDUCEAST.spad" 1700173 1700182 1700442 1700447) (-1039 "RDIV.spad" 1699828 1699853 1700163 1700168) (-1038 "RDIST.spad" 1699395 1699406 1699818 1699823) (-1037 "RDETRS.spad" 1698259 1698277 1699385 1699390) (-1036 "RDETR.spad" 1696398 1696416 1698249 1698254) (-1035 "RDEEFS.spad" 1695497 1695514 1696388 1696393) (-1034 "RDEEF.spad" 1694507 1694524 1695487 1695492) (-1033 "RCFIELD.spad" 1691693 1691702 1694409 1694502) (-1032 "RCFIELD.spad" 1688965 1688976 1691683 1691688) (-1031 "RCAGG.spad" 1686893 1686904 1688955 1688960) (-1030 "RCAGG.spad" 1684748 1684761 1686812 1686817) (-1029 "RATRET.spad" 1684108 1684119 1684738 1684743) (-1028 "RATFACT.spad" 1683800 1683812 1684098 1684103) (-1027 "RANDSRC.spad" 1683119 1683128 1683790 1683795) (-1026 "RADUTIL.spad" 1682875 1682884 1683109 1683114) (-1025 "RADIX.spad" 1679699 1679713 1681245 1681338) (-1024 "RADFF.spad" 1677438 1677475 1677557 1677713) (-1023 "RADCAT.spad" 1677033 1677042 1677428 1677433) (-1022 "RADCAT.spad" 1676626 1676637 1677023 1677028) (-1021 "QUEUE.spad" 1675857 1675868 1676116 1676143) (-1020 "QUAT.spad" 1674345 1674356 1674688 1674753) (-1019 "QUATCT2.spad" 1673965 1673984 1674335 1674340) (-1018 "QUATCAT.spad" 1672135 1672146 1673895 1673960) (-1017 "QUATCAT.spad" 1670056 1670069 1671818 1671823) (-1016 "QUAGG.spad" 1668883 1668894 1670024 1670051) (-1015 "QQUTAST.spad" 1668651 1668660 1668873 1668878) (-1014 "QFORM.spad" 1668269 1668284 1668641 1668646) (-1013 "QFCAT.spad" 1666971 1666982 1668171 1668264) (-1012 "QFCAT.spad" 1665264 1665277 1666466 1666471) (-1011 "QFCAT2.spad" 1664956 1664973 1665254 1665259) (-1010 "QEQUAT.spad" 1664514 1664523 1664946 1664951) (-1009 "QCMPACK.spad" 1659260 1659280 1664504 1664509) (-1008 "QALGSET.spad" 1655338 1655371 1659174 1659179) (-1007 "QALGSET2.spad" 1653333 1653352 1655328 1655333) (-1006 "PWFFINTB.spad" 1650748 1650770 1653323 1653328) (-1005 "PUSHVAR.spad" 1650086 1650106 1650738 1650743) (-1004 "PTRANFN.spad" 1646213 1646224 1650076 1650081) (-1003 "PTPACK.spad" 1643300 1643311 1646203 1646208) (-1002 "PTFUNC2.spad" 1643122 1643137 1643290 1643295) (-1001 "PTCAT.spad" 1642376 1642387 1643090 1643117) (-1000 "PSQFR.spad" 1641682 1641707 1642366 1642371) (-999 "PSEUDLIN.spad" 1640568 1640578 1641672 1641677) (-998 "PSETPK.spad" 1626001 1626017 1640446 1640451) (-997 "PSETCAT.spad" 1619921 1619944 1625981 1625996) (-996 "PSETCAT.spad" 1613815 1613840 1619877 1619882) (-995 "PSCURVE.spad" 1612798 1612806 1613805 1613810) (-994 "PSCAT.spad" 1611581 1611610 1612696 1612793) (-993 "PSCAT.spad" 1610454 1610485 1611571 1611576) (-992 "PRTITION.spad" 1609152 1609160 1610444 1610449) (-991 "PRTDAST.spad" 1608871 1608879 1609142 1609147) (-990 "PRS.spad" 1598433 1598450 1608827 1608832) (-989 "PRQAGG.spad" 1597868 1597878 1598401 1598428) (-988 "PROPLOG.spad" 1597440 1597448 1597858 1597863) (-987 "PROPFUN2.spad" 1597063 1597076 1597430 1597435) (-986 "PROPFUN1.spad" 1596461 1596472 1597053 1597058) (-985 "PROPFRML.spad" 1595029 1595040 1596451 1596456) (-984 "PROPERTY.spad" 1594517 1594525 1595019 1595024) (-983 "PRODUCT.spad" 1592199 1592211 1592483 1592538) (-982 "PR.spad" 1590591 1590603 1591290 1591417) (-981 "PRINT.spad" 1590343 1590351 1590581 1590586) (-980 "PRIMES.spad" 1588596 1588606 1590333 1590338) (-979 "PRIMELT.spad" 1586677 1586691 1588586 1588591) (-978 "PRIMCAT.spad" 1586304 1586312 1586667 1586672) (-977 "PRIMARR.spad" 1585156 1585166 1585334 1585361) (-976 "PRIMARR2.spad" 1583923 1583935 1585146 1585151) (-975 "PREASSOC.spad" 1583305 1583317 1583913 1583918) (-974 "PPCURVE.spad" 1582442 1582450 1583295 1583300) (-973 "PORTNUM.spad" 1582217 1582225 1582432 1582437) (-972 "POLYROOT.spad" 1581066 1581088 1582173 1582178) (-971 "POLY.spad" 1578401 1578411 1578916 1579043) (-970 "POLYLIFT.spad" 1577666 1577689 1578391 1578396) (-969 "POLYCATQ.spad" 1575784 1575806 1577656 1577661) (-968 "POLYCAT.spad" 1569254 1569275 1575652 1575779) (-967 "POLYCAT.spad" 1562062 1562085 1568462 1568467) (-966 "POLY2UP.spad" 1561514 1561528 1562052 1562057) (-965 "POLY2.spad" 1561111 1561123 1561504 1561509) (-964 "POLUTIL.spad" 1560052 1560081 1561067 1561072) (-963 "POLTOPOL.spad" 1558800 1558815 1560042 1560047) (-962 "POINT.spad" 1557485 1557495 1557572 1557599) (-961 "PNTHEORY.spad" 1554187 1554195 1557475 1557480) (-960 "PMTOOLS.spad" 1552962 1552976 1554177 1554182) (-959 "PMSYM.spad" 1552511 1552521 1552952 1552957) (-958 "PMQFCAT.spad" 1552102 1552116 1552501 1552506) (-957 "PMPRED.spad" 1551581 1551595 1552092 1552097) (-956 "PMPREDFS.spad" 1551035 1551057 1551571 1551576) (-955 "PMPLCAT.spad" 1550115 1550133 1550967 1550972) (-954 "PMLSAGG.spad" 1549700 1549714 1550105 1550110) (-953 "PMKERNEL.spad" 1549279 1549291 1549690 1549695) (-952 "PMINS.spad" 1548859 1548869 1549269 1549274) (-951 "PMFS.spad" 1548436 1548454 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523131 523136) (-344 "FDIV2.spad" 520859 520899 521193 521198) (-343 "FCTRDATA.spad" 519867 519875 520849 520854) (-342 "FCPAK1.spad" 518434 518442 519857 519862) (-341 "FCOMP.spad" 517813 517823 518424 518429) (-340 "FC.spad" 507820 507828 517803 517808) (-339 "FAXF.spad" 500791 500805 507722 507815) (-338 "FAXF.spad" 493814 493830 500747 500752) (-337 "FARRAY.spad" 491811 491821 492844 492871) (-336 "FAMR.spad" 489947 489959 491709 491806) (-335 "FAMR.spad" 488067 488081 489831 489836) (-334 "FAMONOID.spad" 487735 487745 488021 488026) (-333 "FAMONC.spad" 486031 486043 487725 487730) (-332 "FAGROUP.spad" 485655 485665 485927 485954) (-331 "FACUTIL.spad" 483859 483876 485645 485650) (-330 "FACTFUNC.spad" 483053 483063 483849 483854) (-329 "EXPUPXS.spad" 479886 479909 481185 481334) (-328 "EXPRTUBE.spad" 477174 477182 479876 479881) (-327 "EXPRODE.spad" 474334 474350 477164 477169) (-326 "EXPR.spad" 469509 469519 470223 470518) (-325 "EXPR2UPS.spad" 465631 465644 469499 469504) (-324 "EXPR2.spad" 465336 465348 465621 465626) (-323 "EXPEXPAN.spad" 462137 462162 462769 462862) (-322 "EXIT.spad" 461808 461816 462127 462132) (-321 "EXITAST.spad" 461544 461552 461798 461803) (-320 "EVALCYC.spad" 461004 461018 461534 461539) (-319 "EVALAB.spad" 460576 460586 460994 460999) (-318 "EVALAB.spad" 460146 460158 460566 460571) (-317 "EUCDOM.spad" 457720 457728 460072 460141) (-316 "EUCDOM.spad" 455356 455366 457710 457715) (-315 "ESTOOLS.spad" 447202 447210 455346 455351) (-314 "ESTOOLS2.spad" 446805 446819 447192 447197) (-313 "ESTOOLS1.spad" 446490 446501 446795 446800) (-312 "ES.spad" 439305 439313 446480 446485) (-311 "ES.spad" 432026 432036 439203 439208) (-310 "ESCONT.spad" 428819 428827 432016 432021) (-309 "ESCONT1.spad" 428568 428580 428809 428814) (-308 "ES2.spad" 428073 428089 428558 428563) (-307 "ES1.spad" 427643 427659 428063 428068) (-306 "ERROR.spad" 424970 424978 427633 427638) (-305 "EQTBL.spad" 423000 423022 423209 423236) (-304 "EQ.spad" 417805 417815 420592 420704) (-303 "EQ2.spad" 417523 417535 417795 417800) (-302 "EP.spad" 413849 413859 417513 417518) (-301 "ENV.spad" 412527 412535 413839 413844) (-300 "ENTIRER.spad" 412195 412203 412471 412522) (-299 "EMR.spad" 411483 411524 412121 412190) (-298 "ELTAGG.spad" 409737 409756 411473 411478) (-297 "ELTAGG.spad" 407955 407976 409693 409698) (-296 "ELTAB.spad" 407430 407443 407945 407950) (-295 "ELFUTS.spad" 406817 406836 407420 407425) (-294 "ELEMFUN.spad" 406506 406514 406807 406812) (-293 "ELEMFUN.spad" 406193 406203 406496 406501) (-292 "ELAGG.spad" 404164 404174 406173 406188) (-291 "ELAGG.spad" 402072 402084 404083 404088) (-290 "ELABOR.spad" 401418 401426 402062 402067) (-289 "ELABEXPR.spad" 400350 400358 401408 401413) (-288 "EFUPXS.spad" 397126 397156 400306 400311) (-287 "EFULS.spad" 393962 393985 397082 397087) (-286 "EFSTRUC.spad" 391977 391993 393952 393957) (-285 "EF.spad" 386753 386769 391967 391972) (-284 "EAB.spad" 385029 385037 386743 386748) (-283 "E04UCFA.spad" 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343677 343682) (-262 "DRAWCFUN.spad" 332766 332774 343224 343229) (-261 "DQAGG.spad" 330944 330954 332734 332761) (-260 "DPOLCAT.spad" 326293 326309 330812 330939) (-259 "DPOLCAT.spad" 321728 321746 326249 326254) (-258 "DPMO.spad" 313488 313504 313626 313839) (-257 "DPMM.spad" 305261 305279 305386 305599) (-256 "DOMTMPLT.spad" 305032 305040 305251 305256) (-255 "DOMCTOR.spad" 304787 304795 305022 305027) (-254 "DOMAIN.spad" 303874 303882 304777 304782) (-253 "DMP.spad" 301134 301149 301704 301831) (-252 "DMEXT.spad" 301001 301011 301102 301129) (-251 "DLP.spad" 300353 300363 300991 300996) (-250 "DLIST.spad" 298779 298789 299383 299410) (-249 "DLAGG.spad" 297196 297206 298769 298774) (-248 "DIVRING.spad" 296738 296746 297140 297191) (-247 "DIVRING.spad" 296324 296334 296728 296733) (-246 "DISPLAY.spad" 294514 294522 296314 296319) (-245 "DIRPROD.spad" 282061 282077 282701 282800) (-244 "DIRPROD2.spad" 280879 280897 282051 282056) (-243 "DIRPCAT.spad" 280072 280088 280775 280874) (-242 "DIRPCAT.spad" 278892 278910 279597 279602) (-241 "DIOSP.spad" 277717 277725 278882 278887) (-240 "DIOPS.spad" 276713 276723 277697 277712) (-239 "DIOPS.spad" 275683 275695 276669 276674) (-238 "DIFRING.spad" 275521 275529 275663 275678) (-237 "DIFFSPC.spad" 275100 275108 275511 275516) (-236 "DIFFSPC.spad" 274677 274687 275090 275095) (-235 "DIFFMOD.spad" 274166 274176 274645 274672) (-234 "DIFFDOM.spad" 273331 273342 274156 274161) (-233 "DIFFDOM.spad" 272494 272507 273321 273326) (-232 "DIFEXT.spad" 272313 272323 272474 272489) (-231 "DIAGG.spad" 271943 271953 272293 272308) (-230 "DIAGG.spad" 271581 271593 271933 271938) (-229 "DHMATRIX.spad" 269776 269786 270921 270948) (-228 "DFSFUN.spad" 263416 263424 269766 269771) (-227 "DFLOAT.spad" 260147 260155 263306 263411) (-226 "DFINTTLS.spad" 258378 258394 260137 260142) (-225 "DERHAM.spad" 256292 256324 258358 258373) (-224 "DEQUEUE.spad" 255499 255509 255782 255809) (-223 "DEGRED.spad" 255116 255130 255489 255494) (-222 "DEFINTRF.spad" 252653 252663 255106 255111) (-221 "DEFINTEF.spad" 251163 251179 252643 252648) (-220 "DEFAST.spad" 250531 250539 251153 251158) (-219 "DECIMAL.spad" 248540 248548 248901 248994) (-218 "DDFACT.spad" 246353 246370 248530 248535) (-217 "DBLRESP.spad" 245953 245977 246343 246348) (-216 "DBASE.spad" 244617 244627 245943 245948) (-215 "DATAARY.spad" 244079 244092 244607 244612) (-214 "D03FAFA.spad" 243907 243915 244069 244074) (-213 "D03EEFA.spad" 243727 243735 243897 243902) (-212 "D03AGNT.spad" 242813 242821 243717 243722) (-211 "D02EJFA.spad" 242275 242283 242803 242808) (-210 "D02CJFA.spad" 241753 241761 242265 242270) (-209 "D02BHFA.spad" 241243 241251 241743 241748) (-208 "D02BBFA.spad" 240733 240741 241233 241238) (-207 "D02AGNT.spad" 235547 235555 240723 240728) (-206 "D01WGTS.spad" 233866 233874 235537 235542) (-205 "D01TRNS.spad" 233843 233851 233856 233861) (-204 "D01GBFA.spad" 233365 233373 233833 233838) (-203 "D01FCFA.spad" 232887 232895 233355 233360) (-202 "D01ASFA.spad" 232355 232363 232877 232882) (-201 "D01AQFA.spad" 231801 231809 232345 232350) (-200 "D01APFA.spad" 231225 231233 231791 231796) (-199 "D01ANFA.spad" 230719 230727 231215 231220) (-198 "D01AMFA.spad" 230229 230237 230709 230714) (-197 "D01ALFA.spad" 229769 229777 230219 230224) (-196 "D01AKFA.spad" 229295 229303 229759 229764) (-195 "D01AJFA.spad" 228818 228826 229285 229290) (-194 "D01AGNT.spad" 224885 224893 228808 228813) (-193 "CYCLOTOM.spad" 224391 224399 224875 224880) (-192 "CYCLES.spad" 221183 221191 224381 224386) (-191 "CVMP.spad" 220600 220610 221173 221178) (-190 "CTRIGMNP.spad" 219100 219116 220590 220595) (-189 "CTOR.spad" 218791 218799 219090 219095) (-188 "CTORKIND.spad" 218394 218402 218781 218786) (-187 "CTORCAT.spad" 217643 217651 218384 218389) (-186 "CTORCAT.spad" 216890 216900 217633 217638) (-185 "CTORCALL.spad" 216479 216489 216880 216885) (-184 "CSTTOOLS.spad" 215724 215737 216469 216474) (-183 "CRFP.spad" 209448 209461 215714 215719) (-182 "CRCEAST.spad" 209168 209176 209438 209443) (-181 "CRAPACK.spad" 208219 208229 209158 209163) (-180 "CPMATCH.spad" 207723 207738 208144 208149) (-179 "CPIMA.spad" 207428 207447 207713 207718) (-178 "COORDSYS.spad" 202437 202447 207418 207423) (-177 "CONTOUR.spad" 201848 201856 202427 202432) (-176 "CONTFRAC.spad" 197598 197608 201750 201843) (-175 "CONDUIT.spad" 197356 197364 197588 197593) (-174 "COMRING.spad" 197030 197038 197294 197351) (-173 "COMPPROP.spad" 196548 196556 197020 197025) (-172 "COMPLPAT.spad" 196315 196330 196538 196543) (-171 "COMPLEX.spad" 191692 191702 191936 192197) (-170 "COMPLEX2.spad" 191407 191419 191682 191687) (-169 "COMPILER.spad" 190956 190964 191397 191402) (-168 "COMPFACT.spad" 190558 190572 190946 190951) (-167 "COMPCAT.spad" 188630 188640 190292 190553) (-166 "COMPCAT.spad" 186430 186442 188094 188099) (-165 "COMMUPC.spad" 186178 186196 186420 186425) (-164 "COMMONOP.spad" 185711 185719 186168 186173) (-163 "COMM.spad" 185522 185530 185701 185706) (-162 "COMMAAST.spad" 185285 185293 185512 185517) (-161 "COMBOPC.spad" 184200 184208 185275 185280) (-160 "COMBINAT.spad" 182967 182977 184190 184195) (-159 "COMBF.spad" 180349 180365 182957 182962) (-158 "COLOR.spad" 179186 179194 180339 180344) (-157 "COLONAST.spad" 178852 178860 179176 179181) (-156 "CMPLXRT.spad" 178563 178580 178842 178847) (-155 "CLLCTAST.spad" 178225 178233 178553 178558) (-154 "CLIP.spad" 174333 174341 178215 178220) (-153 "CLIF.spad" 172988 173004 174289 174328) (-152 "CLAGG.spad" 169493 169503 172978 172983) (-151 "CLAGG.spad" 165869 165881 169356 169361) (-150 "CINTSLPE.spad" 165200 165213 165859 165864) (-149 "CHVAR.spad" 163338 163360 165190 165195) (-148 "CHARZ.spad" 163253 163261 163318 163333) (-147 "CHARPOL.spad" 162763 162773 163243 163248) (-146 "CHARNZ.spad" 162516 162524 162743 162758) (-145 "CHAR.spad" 160390 160398 162506 162511) (-144 "CFCAT.spad" 159718 159726 160380 160385) (-143 "CDEN.spad" 158914 158928 159708 159713) (-142 "CCLASS.spad" 157025 157033 158287 158326) (-141 "CATEGORY.spad" 156067 156075 157015 157020) (-140 "CATCTOR.spad" 155958 155966 156057 156062) (-139 "CATAST.spad" 155576 155584 155948 155953) (-138 "CASEAST.spad" 155290 155298 155566 155571) (-137 "CARTEN.spad" 150657 150681 155280 155285) (-136 "CARTEN2.spad" 150047 150074 150647 150652) (-135 "CARD.spad" 147342 147350 150021 150042) (-134 "CAPSLAST.spad" 147116 147124 147332 147337) (-133 "CACHSET.spad" 146740 146748 147106 147111) (-132 "CABMON.spad" 146295 146303 146730 146735) (-131 "BYTEORD.spad" 145970 145978 146285 146290) (-130 "BYTE.spad" 145397 145405 145960 145965) (-129 "BYTEBUF.spad" 143095 143103 144405 144432) (-128 "BTREE.spad" 142051 142061 142585 142612) (-127 "BTOURN.spad" 140939 140949 141541 141568) (-126 "BTCAT.spad" 140331 140341 140907 140934) (-125 "BTCAT.spad" 139743 139755 140321 140326) (-124 "BTAGG.spad" 139209 139217 139711 139738) (-123 "BTAGG.spad" 138695 138705 139199 139204) (-122 "BSTREE.spad" 137319 137329 138185 138212) (-121 "BRILL.spad" 135516 135527 137309 137314) (-120 "BRAGG.spad" 134456 134466 135506 135511) (-119 "BRAGG.spad" 133360 133372 134412 134417) (-118 "BPADICRT.spad" 131234 131246 131489 131582) (-117 "BPADIC.spad" 130898 130910 131160 131229) (-116 "BOUNDZRO.spad" 130554 130571 130888 130893) (-115 "BOP.spad" 125736 125744 130544 130549) (-114 "BOP1.spad" 123202 123212 125726 125731) (-113 "BOOLE.spad" 122852 122860 123192 123197) (-112 "BOOLEAN.spad" 122290 122298 122842 122847) (-111 "BMODULE.spad" 122002 122014 122258 122285) (-110 "BITS.spad" 121385 121393 121600 121627) (-109 "BINDING.spad" 120798 120806 121375 121380) (-108 "BINARY.spad" 118812 118820 119168 119261) (-107 "BGAGG.spad" 118017 118027 118792 118807) (-106 "BGAGG.spad" 117230 117242 118007 118012) (-105 "BFUNCT.spad" 116794 116802 117210 117225) (-104 "BEZOUT.spad" 115934 115961 116744 116749) (-103 "BBTREE.spad" 112662 112672 115424 115451) (-102 "BASTYPE.spad" 112158 112166 112652 112657) (-101 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(-79 "ASP50.spad" 88799 88812 90972 90977) (-78 "ASP4.spad" 88094 88107 88789 88794) (-77 "ASP49.spad" 87093 87106 88084 88089) (-76 "ASP42.spad" 85500 85539 87083 87088) (-75 "ASP41.spad" 84079 84118 85490 85495) (-74 "ASP35.spad" 83067 83080 84069 84074) (-73 "ASP34.spad" 82368 82381 83057 83062) (-72 "ASP33.spad" 81928 81941 82358 82363) (-71 "ASP31.spad" 81068 81081 81918 81923) (-70 "ASP30.spad" 79960 79973 81058 81063) (-69 "ASP29.spad" 79426 79439 79950 79955) (-68 "ASP28.spad" 70699 70712 79416 79421) (-67 "ASP27.spad" 69596 69609 70689 70694) (-66 "ASP24.spad" 68683 68696 69586 69591) (-65 "ASP20.spad" 68147 68160 68673 68678) (-64 "ASP1.spad" 67528 67541 68137 68142) (-63 "ASP19.spad" 62214 62227 67518 67523) (-62 "ASP12.spad" 61628 61641 62204 62209) (-61 "ASP10.spad" 60899 60912 61618 61623) (-60 "ARRAY2.spad" 60142 60151 60389 60416) (-59 "ARRAY1.spad" 58826 58835 59172 59199) (-58 "ARRAY12.spad" 57539 57550 58816 58821) (-57 "ARR2CAT.spad" 53313 53334 57507 57534) (-56 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\ No newline at end of file diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase index 612c3944..970d87c8 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,15 +1,15 @@ -(204908 . 3486841623) -(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) #0#) |has| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4439 |#2|))))) -((((-576)) . T) (($) -2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2759 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) +(204999 . 3486848007) +(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((#0=(-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) #0#) |has| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (-319 (-2 (|:| -2240 |#1|) (|:| -2905 |#2|))))) +((((-576)) . 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T)) ((((-419 (-576))) . T) (($) . T)) @@ -227,7 +227,7 @@ (((|#1|) . T)) (|has| |#2| (-374)) ((((-1255 (-576)) $) . T) (((-576) |#1|) . T)) -((($) -2759 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) +((($) -3795 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) (((|#1| |#2|) . T)) ((((-876)) . T)) @@ -240,13 +240,13 @@ ((((-876)) . T)) ((((-876)) . T)) (((|#1| |#1|) . T)) -(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . T) (($ $) -2759 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) -((($ $) -2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) +(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . 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T)) -((($ (-1197)) -2759 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) +((($ (-1197)) -3795 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) (((#0=(-711) (-1193 #0#)) . T)) ((((-593 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) ((((-419 (-576))) . T) (($) . T)) @@ -471,18 +471,18 @@ ((((-876)) . T) (((-1288 |#3|)) . T)) ((((-593 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) ((($) . T) (((-419 (-576))) . T)) -((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2759 (|has| |#1| (-174)) (|has| |#1| (-568)))) +((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3795 (|has| |#1| (-174)) (|has| |#1| (-568)))) ((($) |has| |#1| (-568)) ((|#1|) . T)) ((((-876)) . T)) ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) ((($) . 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T) (($) . T)) ((((-1197)) -12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1197))))) @@ -558,12 +558,12 @@ ((((-576) |#3|) . T)) (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) (|has| |#2| (-1070)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) -(-2759 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) +(-3795 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((((-876)) . T)) ((((-1274 |#1| |#2| |#3| |#4|)) . T)) ((((-419 (-576))) . T) (((-576)) . T)) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) (((|#1| |#1|) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) @@ -572,9 +572,9 @@ ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) ((((-576)) . T)) ((((-576)) . T)) -((($) . T) (((-576)) . 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T)) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) (((|#2|) . T)) @@ -936,7 +936,7 @@ ((((-656 |#1|)) . T)) ((((-876)) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -(-2759 (|has| |#1| (-861)) (|has| |#1| (-1121))) +(-3795 (|has| |#1| (-861)) (|has| |#1| (-1121))) (((|#2|) |has| |#2| (-319 |#2|))) (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) (((|#1|) . T)) @@ -947,14 +947,14 @@ ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) (|has| |#2| (-379)) (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-861)) (|has| |#1| (-1121))) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) (((|#1|) . T) (((-419 (-576))) . T) (($) . 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T)) (((|#1|) . T)) ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) ((((-1197)) . T)) (|has| |#1| (-568)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-568))) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-568)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) @@ -1121,7 +1121,7 @@ (|has| |#1| (-148)) (|has| |#1| (-146)) (|has| |#1| (-148)) -(((|#2| (-245 (-3502 |#1|) (-783)) (-878 |#1|)) . T)) +(((|#2| (-245 (-1970 |#1|) (-783)) (-878 |#1|)) . T)) (((|#1| (-543 |#3|) |#3|) . T)) (|has| |#1| (-146)) (((#0=(-419 (-576)) #0#) |has| |#2| (-374)) (($ $) . T)) @@ -1135,12 +1135,12 @@ (|has| |#1| (-146)) ((((-419 (-576))) |has| |#2| (-374)) (($) . 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T)) -((((-1197)) -2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) +((((-1197)) -3795 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) (((|#3|) . T)) ((($ $) . T) ((#0=(-878 |#1|) $) . T) ((#0# |#2|) . T)) (|has| |#1| (-840)) @@ -1203,10 +1203,10 @@ ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) ((((-576)) . T) (($) . T) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (|has| (-1115 |#1|) (-1121)) -(((|#2| |#2|) -2759 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) -(((|#2|) -2759 (|has| |#2| (-174)) (|has| |#2| (-374)))) -((((-576) (-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T) ((|#1| |#2|) . T)) -(((|#2|) -2759 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) +(((|#2| |#2|) -3795 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) +(((|#2|) -3795 (|has| |#2| (-174)) (|has| |#2| (-374)))) +((((-576) (-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T) ((|#1| |#2|) . T)) +(((|#2|) -3795 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) ((((-576)) . T)) ((((-1202)) . T)) ((((-783)) . T)) @@ -1225,34 +1225,34 @@ (((|#1|) . T)) ((((-419 (-576))) . T) (($) . T)) ((($) . T) (((-419 (-576))) . T)) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-568))) ((((-1202)) . T)) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((((-576)) . T)) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-568))) (|has| |#1| (-146)) ((((-576)) . 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T)) -((($) -2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2759 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) -((($) -2759 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) +((($) -3795 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -3795 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) +((($) -3795 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) ((((-576) |#2|) . T)) -((($ (-1197)) -2759 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) +((($ (-1197)) -3795 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) (((|#1| |#2|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-379)) @@ -1271,42 +1271,42 @@ ((((-876)) . 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T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2759 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) -((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2759 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3795 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) +((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3795 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928)))) (((|#1| |#2|) . T)) ((($) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) @@ -1339,7 +1339,7 @@ (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) (((|#1| |#1|) . T)) (((#0=(-884 |#1|)) |has| #0# (-319 #0#))) -((((-576)) . T) (($) -2759 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2759 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) +((((-576)) . T) (($) -3795 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -3795 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1059 (-419 (-576))))) ((|#1|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-805)) (|has| |#2| (-805)) @@ -1348,7 +1348,7 @@ (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (|has| |#2| (-1070)) ((($) . T) (((-576)) . T) ((|#2|) . T)) -(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (((|#2|) . T) (($) . T)) (|has| |#1| (-1223)) (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) @@ -1362,7 +1362,7 @@ (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) (|has| |#1| (-374)) ((((-576)) . T) (((-419 (-576))) . T) (($) . 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T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) +((($) -3795 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T)) ((($) . T) (((-576)) . T)) ((((-576) (-145)) . T)) -((((-576) (-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T) ((|#1| |#2|) . T)) +((((-576) (-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T) ((|#1| |#2|) . T)) ((((-419 (-576))) . T) (($) . T)) (((|#1|) . T)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) ((((-876)) . T)) ((((-929 |#1|)) . T)) (|has| |#1| (-374)) @@ -1410,11 +1410,11 @@ (|has| |#1| (-374)) (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-860)) -((($) -2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -2759 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) +((($) -3795 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -3795 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) (|has| |#1| (-374)) (((|#1|) . T) (($) . T)) (|has| |#1| (-860)) -((($) . T) (((-419 (-576))) -2759 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) +((($) . T) (((-419 (-576))) -3795 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) ((((-1197)) |has| |#1| (-917 (-1197)))) (|has| |#1| (-860)) ((((-518)) . T)) @@ -1430,7 +1430,7 @@ ((((-548)) . T)) ((((-876)) . T)) ((($) . T)) -((((-576) (-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T) (((-1255 (-576)) $) . T) ((|#1| |#2|) . T)) +((((-576) (-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T) (((-1255 (-576)) $) . T) ((|#1| |#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (($) . T)) (((|#1|) |has| |#1| (-174))) @@ -1440,22 +1440,22 @@ (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (((|#3|) . 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T)) -(((|#2|) -2759 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) +(((|#2|) -3795 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070)))) (|has| $ (-148)) ((((-419 |#2|)) . T)) ((((-419 (-576))) |has| #0=(-419 |#2|) (-1059 (-419 (-576)))) (((-576)) |has| #0# (-1059 (-576))) ((#0#) . T)) @@ -1557,11 +1557,11 @@ (|has| |#2| (-148)) (|has| |#1| (-148)) (|has| |#1| (-146)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) (((|#1|) . T)) (|has| |#2| (-238)) @@ -1598,9 +1598,9 @@ ((((-876)) . T)) ((((-876)) . T)) ((((-1020 |#1|)) . T) ((|#1|) . T)) -((((-1197)) -2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-830 (-1197))) . 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T)) (|has| |#2| (-148)) (|has| |#1| (-485)) -(-2759 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) +(-3795 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) (|has| |#1| (-374)) ((((-876)) . T)) (|has| |#1| (-38 (-419 (-576)))) @@ -1756,8 +1756,8 @@ (|has| |#1| (-860)) ((((-876)) . T)) (((|#2|) . T)) -((((-419 (-576))) -2759 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2759 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2759 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2759 (|has| |#1| (-374)) (|has| |#1| (-568)))) +((((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3795 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3795 (|has| |#1| (-374)) (|has| |#1| (-568)))) ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (((|#2|) . T) (((-576)) . T) (((-831 |#1|)) . T)) (((|#1| |#2|) . T)) @@ -1766,8 +1766,8 @@ ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) ((((-876)) . T)) ((((-876)) . T)) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) -(((|#2| (-494 (-3502 |#1|) (-783)) (-878 |#1|)) . T)) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) +(((|#2| (-494 (-1970 |#1|) (-783)) (-878 |#1|)) . T)) ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) (((|#1| (-543 (-1197)) (-1197)) . T)) (((|#1|) . T)) @@ -1780,6 +1780,7 @@ (((|#1| |#1|) . T)) (((|#1|) . T)) (((|#2| |#2|) . T)) +(-12 (|has| |#1| (-1121)) (|has| |#2| (-1121))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (|has| |#1| (-146)) @@ -1787,19 +1788,19 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(((|#1|) . T) (((-2 (|:| -4300 (-1179)) (|:| -4439 |#1|))) . T)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -2240 (-1179)) (|:| -2905 |#1|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (((|#2|) . T)) -((((-2 (|:| -4300 (-1197)) (|:| -4439 (-52)))) . T)) +((((-2 (|:| -2240 (-1197)) (|:| -2905 (-52)))) . 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T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) (|has| |#1| (-861)) (|has| |#1| (-861)) @@ -1820,15 +1821,15 @@ (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) (((|#1|) |has| |#1| (-174))) (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) -(((|#3|) -2759 (|has| |#3| (-174)) (|has| |#3| (-374)))) -((($) -2759 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) -(-2759 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-928))) -((($) -2759 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . 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T)) @@ -1837,7 +1838,7 @@ (|has| |#1| (-832)) (|has| |#1| (-832)) (((|#1|) . T)) -(-2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-860)) (|has| |#1| (-860)) (|has| |#1| (-860)) @@ -1846,14 +1847,14 @@ ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) ((((-1197)) |has| |#1| (-917 (-1197))) (((-1103)) . T)) (((|#1|) . T)) (|has| |#1| (-860)) -(((#0=(-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) #0#) |has| (-2 (|:| -4300 (-1179)) (|:| -4439 (-52))) (-319 (-2 (|:| -4300 (-1179)) (|:| -4439 (-52)))))) +(((#0=(-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) #0#) |has| (-2 (|:| -2240 (-1179)) (|:| -2905 (-52))) (-319 (-2 (|:| -2240 (-1179)) (|:| -2905 (-52)))))) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (|has| |#1| (-1121)) ((((-876)) . T) (((-1202)) . T)) @@ -1877,14 +1878,14 @@ (((|#1| (-783) (-1103)) . T)) (((|#3|) . T)) ((((-145)) . T)) -((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -2759 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) +((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -3795 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) (((|#1|) . T)) (((|#2|) . T)) ((((-145)) . 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T)) (|has| |#1| (-146)) (|has| |#1| (-148)) @@ -1903,31 +1904,31 @@ ((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568))) ((($) |has| |#1| (-568))) (((|#2|) . T)) -((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2759 (|has| |#1| (-174)) (|has| |#1| (-568)))) +((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -3795 (|has| |#1| (-174)) (|has| |#1| (-568)))) ((($) |has| |#1| (-568)) ((|#1|) . T)) ((($) |has| |#1| (-860))) ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) (|has| |#1| (-928)) ((((-1197)) . T)) ((((-876)) . T)) -((($) -2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2759 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1280 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . 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T)) +((((-2 (|:| -2240 (-1197)) (|:| -2905 (-52)))) . T)) ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) ((((-684 |#1|)) . T)) (((|#1| |#2| |#3| |#4|) . T)) @@ -1961,7 +1962,7 @@ ((((-876)) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) ((((-876)) . T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2759 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3795 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) ((((-1202)) . T)) ((((-419 (-576))) . T) (($) . T) (((-419 |#1|)) . T) ((|#1|) . T) (((-576)) . T)) (((|#3|) . T) (((-576)) . T) (((-624 $)) . T)) @@ -1969,12 +1970,12 @@ ((((-876)) . T)) ((((-876)) . T)) (((|#2|) . 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T)) ((($) |has| |#1| (-238))) @@ -2228,12 +2229,12 @@ (|has| |#1| (-146)) ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (((|#1|) |has| |#1| (-174))) -((($) -2759 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -3795 (|has| |#1| (-174)) (|has| |#1| (-568))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((((-576)) . T) ((|#1|) . T) (($) . T) (((-419 (-576))) . T) (((-1197)) |has| |#1| (-1059 (-1197)))) (((|#1| |#2|) . T)) -((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -2759 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) -(-2759 (-12 (|has| |#4| (-238)) (|has| |#4| (-1070))) (-12 (|has| |#4| (-237)) (|has| |#4| (-1070)))) -(-2759 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070)))) +((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) -3795 (|has| |#1| (-860)) (|has| |#1| (-1059 (-576)))) ((|#1|) . T)) +(-3795 (-12 (|has| |#4| (-238)) (|has| |#4| (-1070))) (-12 (|has| |#4| (-237)) (|has| |#4| (-1070)))) +(-3795 (-12 (|has| |#3| (-238)) (|has| |#3| (-1070))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1070)))) ((((-145)) . T)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) @@ -2244,13 +2245,13 @@ ((((-876)) . T)) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . 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T) (($ (-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) (|has| |#1| (-928)) @@ -2258,7 +2259,7 @@ (((|#2|) |has| |#2| (-1070))) (|has| |#1| (-374)) ((($) . T)) -(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4439 |#2|))))) +(((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) (((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) |has| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (-319 (-2 (|:| -2240 |#1|) (|:| -2905 |#2|))))) (((|#1|) |has| |#1| (-174))) ((($ (-878 |#1|)) . T)) (((|#1| |#1|) . T)) @@ -2269,7 +2270,7 @@ (((|#1|) . T)) ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) ((((-656 $)) . T) (((-1179)) . T) (((-1197)) . T) (((-576)) . T) (((-227)) . T) (((-876)) . T)) -((((-576)) -2759 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) ((|#3|) -2759 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070))) +((((-576)) -3795 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) ((|#3|) -3795 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070))) ((((-419 (-576))) . T) (((-576)) . T) (((-624 $)) . T)) (((|#1|) . T)) ((((-876)) . T)) @@ -2284,7 +2285,7 @@ (((|#1| (-419 (-576)) (-1103)) . T)) (((|#1| (-783) (-1103)) . T)) (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) -(((|#1|) . T) (((-576)) -2759 (|has| (-419 (-576)) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) . T)) +(((|#1|) . T) (((-576)) -3795 (|has| (-419 (-576)) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) . T)) (((|#1| (-614 |#1| |#3|) (-614 |#1| |#2|)) . T)) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) @@ -2304,37 +2305,37 @@ ((((-711)) . T)) ((((-711)) . T)) (((|#2|) |has| |#2| (-174))) -(-2759 (|has| |#1| (-238)) (|has| |#1| (-237))) +(-3795 (|has| |#1| (-238)) (|has| |#1| (-237))) ((((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) -((((-112)) |has| |#1| (-1121)) (((-876)) -2759 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)) (|has| |#1| (-1133)) (|has| |#1| (-1121)))) +((((-112)) |has| |#1| (-1121)) (((-876)) -3795 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070)) (|has| |#1| (-1133)) (|has| |#1| (-1121)))) (((|#1|) . T) (($) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . 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T)) (((|#3|) |has| |#3| (-1070))) @@ -2346,7 +2347,7 @@ ((((-1197)) |has| |#2| (-917 (-1197)))) (|has| |#1| (-861)) ((((-876)) . T)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (|has| |#1| (-803)) ((((-419 (-576))) . T) (($) . T)) (|has| |#1| (-485)) @@ -2354,8 +2355,8 @@ (|has| |#1| (-379)) (|has| |#1| (-379)) (|has| |#1| (-374)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1070)) (|has| |#1| (-1133))) -((($) -2759 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360)))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1070)) (|has| |#1| (-1133))) +((($) -3795 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360)))) ((((-117 |#1|)) . T)) ((((-117 |#1|)) . T)) (|has| |#1| (-360)) @@ -2366,7 +2367,7 @@ (|has| |#1| (-38 (-419 (-576)))) (((|#2|) . T) (((-876)) . T)) (((|#2|) . T) (((-876)) . T)) -((($ (-1197)) -2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) +((($ (-1197)) -3795 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) @@ -2377,18 +2378,18 @@ (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-861)) -((((-2 (|:| -4300 (-1179)) (|:| -4439 |#1|))) . T)) +((((-2 (|:| -2240 (-1179)) (|:| -2905 |#1|))) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-576)) . T)) (|has| |#1| (-148)) (|has| |#1| (-146)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) |has| (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)) (-319 (-2 (|:| -4300 |#1|) (|:| -4439 |#2|)))) ((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) |has| (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)) (-319 (-2 (|:| -2240 |#1|) (|:| -2905 |#2|)))) ((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121)))) (((|#2|) . 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T)) @@ -2626,13 +2627,13 @@ ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (((-576)) . T)) (|has| |#2| (-146)) (|has| |#2| (-148)) -(-2759 (|has| |#2| (-832)) (|has| |#2| (-861))) +(-3795 (|has| |#2| (-832)) (|has| |#2| (-861))) ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) ((((-576)) . T) ((|#1|) . T)) (((|#2|) . T) (($) . T) (((-576)) . T)) (((|#2|) . T)) -((((-1197)) -2759 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) +((((-1197)) -3795 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) (((|#1| |#1|) . T)) (((|#3|) |has| |#3| (-374))) ((((-419 |#2|)) . T)) @@ -2641,10 +2642,10 @@ ((((-876)) . T)) ((((-876)) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . 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T)) -(-2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (|has| |#1| (-374)) (|has| |#1| (-374)) (((|#1| |#2|) . T)) ((($) . T) ((#0=(-1273 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576))))) ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) -(-2759 (-12 (|has| |#1| (-317)) (|has| |#1| (-928))) (|has| |#1| (-374)) (|has| |#1| (-360))) -(-2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) +(-3795 (-12 (|has| |#1| (-317)) (|has| |#1| (-928))) (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-917 (-1197))) (|has| |#1| (-1070))) ((((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T)) (((|#1| |#2|) . T)) ((((-876)) . T)) @@ -2815,7 +2816,7 @@ ((($) . T)) (((|#4|) . T)) ((($) . 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T) (($ $) . T)) ((((-576)) . T)) (((|#1|) . T)) @@ -2920,12 +2921,12 @@ (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (|has| |#1| (-832)) (((#0=(-929 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) ((((-419 |#2|)) . T)) (|has| |#1| (-860)) -((((-1224 |#1|)) . T) (((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) +((((-1224 |#1|)) . T) (((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) (((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) . T) ((#1=(-576) #1#) . T) (($ $) . T)) ((((-929 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) (((|#2|) |has| |#2| (-1070)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) @@ -2942,35 +2943,35 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . 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T)) -((($) -2759 (|has| |#1| (-238)) (|has| |#1| (-237)))) +((($) -3795 (|has| |#1| (-238)) (|has| |#1| (-237)))) ((((-576)) . T)) (((|#2|) . T) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (($) . T) (((-576)) . T)) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) (((|#1| |#2|) . T)) ((($) . T)) @@ -3037,7 +3038,7 @@ (|has| |#2| (-1043)) ((($) . T)) (|has| |#1| (-928)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (((|#4|) . T)) ((($) . T)) (((|#2|) . T)) @@ -3047,32 +3048,32 @@ (|has| |#1| (-374)) ((((-929 |#1|)) . T)) ((($) . T) (((-576)) . T) ((|#1|) . T) (((-419 (-576))) . 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T)) @@ -3089,11 +3090,11 @@ (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -(-2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-38 (-419 (-576)))) (-12 (|has| |#1| (-557)) (|has| |#1| (-840))) ((((-876)) . T)) -((((-1197)) -2759 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))))) +((((-1197)) -3795 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1197)))))) (|has| |#1| (-374)) ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) (|has| |#1| (-374)) @@ -3106,13 +3107,13 @@ ((((-576) |#1|) . T)) ((((-1197)) |has| |#1| (-917 (-1197)))) (((|#1|) . T)) -(-2759 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360))) +(-3795 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360))) (((|#2|) |has| |#1| (-374))) (((|#2|) |has| |#1| (-374))) -(-2759 (|has| |#4| (-805)) (|has| |#4| (-861))) -(-2759 (|has| |#3| (-805)) (|has| |#3| (-861))) +(-3795 (|has| |#4| (-805)) (|has| |#4| (-861))) +(-3795 (|has| |#3| (-805)) (|has| |#3| (-861))) ((((-576)) . T) (($) . T)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) |has| |#1| (-174))) @@ -3147,32 +3148,32 @@ ((((-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-901 (-390)))) (((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-901 (-576))))) (((|#1|) . T)) ((($) . T) (((-576)) . T) ((|#2|) . T)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-568))) (((|#3|) . 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T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (|has| |#1| (-38 (-419 (-576)))) (((|#1| |#2|) . T)) (|has| |#1| (-38 (-419 (-576)))) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-379))) ((($) . T)) (|has| |#1| (-148)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) ((($) . T)) ((((-593 |#1|)) . T)) @@ -3188,7 +3189,7 @@ ((((-419 (-576))) |has| |#2| (-1059 (-576))) (((-576)) |has| |#2| (-1059 (-576))) (((-1197)) |has| |#2| (-1059 (-1197))) ((|#2|) . T)) (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) (((|#1|) . T)) -(-2759 (|has| |#1| (-146)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-360))) (|has| |#1| (-148)) ((((-876)) . T)) ((($) . T)) @@ -3208,15 +3209,15 @@ ((((-419 |#2|)) . T)) ((((-876)) . T)) (((|#1|) . T)) -((((-1197)) -2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) +((((-1197)) -3795 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197))))) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) (|has| |#1| (-803)) (|has| |#1| (-803)) ((((-876)) . T)) ((((-929 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) ((((-876)) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) ((((-115)) . T) ((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -3225,7 +3226,7 @@ ((((-1274 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) (((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568)) (((-419 (-576))) |has| |#1| (-568))) ((((-876)) . T)) -(-2759 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) +(-3795 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) ((((-876)) . T)) (((|#2|) . T)) (((|#2|) . T)) @@ -3238,10 +3239,10 @@ ((((-876)) . T)) (((|#2|) . T)) ((((-576)) . T)) -((((-1197)) -2759 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) +((((-1197)) -3795 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) ((((-876)) . T)) ((((-576)) . T)) -(-2759 (|has| |#2| (-805)) (|has| |#2| (-861))) +(-3795 (|has| |#2| (-805)) (|has| |#2| (-861))) ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) ((((-876)) . T)) ((((-876)) . T)) @@ -3253,10 +3254,10 @@ (((|#1|) . T) (($) . T) (((-419 (-576))) . 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T)) @@ -3266,20 +3267,20 @@ (((#0=(-117 |#1|) $) |has| #0# (-296 #0# #0#))) (((|#1|) |has| |#1| (-174))) ((((-326 |#1|)) . T) (((-576)) . T)) -(-2759 (|has| |#2| (-238)) (|has| |#2| (-237))) +(-3795 (|has| |#2| (-238)) (|has| |#2| (-237))) (((|#1|) . T)) ((((-876)) . T)) ((((-115)) . T) ((|#1|) . T)) ((((-876)) . T)) -((((-1197)) -2759 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) +((((-1197)) -3795 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) (((|#1|) |has| |#1| (-319 |#1|))) ((((-576) |#1|) . T) (((-1255 (-576)) $) . T)) (((|#1| |#2|) . T)) ((((-1197) |#1|) . T)) -(((|#1|) -2759 (|has| |#1| (-174)) (|has| |#1| (-374)))) +(((|#1|) -3795 (|has| |#1| (-174)) (|has| |#1| (-374)))) (((|#1|) . T)) ((($ (-1197)) . T)) -(((|#1|) -2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) +(((|#1|) -3795 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1070)))) ((((-576)) . T) (((-419 (-576))) . T)) (((|#1|) . T)) (|has| |#1| (-568)) @@ -3288,15 +3289,15 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-374)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-374)) (|has| |#1| (-568)) ((($) . T)) (|has| |#1| (-1121)) ((((-792 |#1| (-878 |#2|))) |has| (-792 |#1| (-878 |#2|)) (-319 (-792 |#1| (-878 |#2|))))) -(-2759 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) +(-3795 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((|#1|) . T)) (((|#2| |#3|) . T)) (((|#1|) . T)) @@ -3305,17 +3306,17 @@ (((|#1| (-783)) . T)) (|has| |#1| (-238)) (((|#1| (-543 (-1109 (-1197)))) . T)) -((($) -2759 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) +((($) -3795 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) ((((-593 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) -((((-2 (|:| -4300 (-1179)) (|:| -4439 (-52)))) . T)) +((((-2 (|:| -2240 (-1179)) (|:| -2905 (-52)))) . T)) (((|#1|) . T)) (((|#1|) . T) (((-576)) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (|has| |#2| (-374)) ((((-876)) . T)) ((((-876)) . T)) -(-2759 (|has| |#3| (-805)) (|has| |#3| (-861))) +(-3795 (|has| |#3| (-805)) (|has| |#3| (-861))) ((((-876)) . T)) ((((-1141)) . T) (((-876)) . T)) ((((-548)) . T) (((-876)) . T)) @@ -3326,14 +3327,14 @@ ((((-576)) . T)) (((|#3|) . T)) ((((-876)) . T)) -(-2759 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) -((((-576)) . 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T) (($) -3795 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-878 |#1|)) . T)) +((((-1146 |#1| |#2|)) . T) ((|#2|) . T) (($) -3795 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-576)) . T)) +((((-1193 |#1|)) . T) (((-576)) . T) (($) -3795 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) (((-1103)) . T) ((|#1|) . T) (((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) +(-3795 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1070))) (((#0=(-593 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) -((((-1146 |#1| (-1197))) . T) (((-576)) . T) (((-1109 (-1197))) . T) (($) -2759 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -2759 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-1197)) . T)) +((((-1146 |#1| (-1197))) . T) (((-576)) . T) (((-1109 (-1197))) . T) (($) -3795 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) . T) (((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576))))) (((-1197)) . T)) (((|#1|) |has| |#1| (-174))) (((|#1| (-1288 |#1|) (-1288 |#1|)) . T)) ((((-593 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) @@ -3348,7 +3349,7 @@ ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((|#1|) . T) (((-576)) . T)) (((|#1|) . T)) ((((-876)) . T)) -(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -2759 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) +(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -3795 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) (((|#2| |#2|) . T) ((|#6| |#6|) . T)) ((((-304 |#3|)) . T)) (((|#1|) . T)) @@ -3357,30 +3358,30 @@ (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) -((($ $) -2759 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) -((($ $) -2759 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) +((($ $) -3795 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) +((($ $) -3795 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) (((|#2|) . 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T)) -(-2759 (|has| |#2| (-805)) (|has| |#2| (-861))) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) +(-3795 (|has| |#2| (-805)) (|has| |#2| (-861))) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) (((|#1|) . T)) (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) ((((-1197)) . T) ((|#1|) . T)) @@ -3392,15 +3393,15 @@ (((#0=(-419 (-576)) #0#) . T)) ((((-419 (-576))) . T)) (((|#1|) |has| |#1| (-174))) -(-2759 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) +(-3795 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1070))) (((|#1|) . T)) (((|#1|) . T)) -(-2759 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) +(-3795 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) (((|#1|) . T)) ((((-419 (-576))) . T) (((-576)) . 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T) (((-576)) |has| |#2| (-1059 (-576))) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) ((((-1103)) . T) ((|#2|) . T) (((-576)) |has| |#2| (-1059 (-576))) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) (((|#1|) . T)) @@ -3449,11 +3450,11 @@ ((($) |has| |#1| (-379))) (|has| |#2| (-832)) (|has| |#2| (-832)) -((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) (((-419 (-576))) -2759 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) +((((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) (((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2|) |has| |#1| (-374)) (($) . T) ((|#1|) . T)) ((($ (-1197)) |has| |#1| (-917 (-1197)))) (((|#1|) . T) (((-576)) |has| |#1| (-1059 (-576))) (((-419 (-576))) |has| |#1| (-1059 (-419 (-576))))) -((($) -2759 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360)))) -(((|#1|) . T) (((-419 (-576))) -2759 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) +((($) -3795 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360)))) +(((|#1|) . T) (((-419 (-576))) -3795 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) ((((-576)) |has| |#1| (-901 (-576))) (((-390)) |has| |#1| (-901 (-390)))) (((|#1|) . T)) @@ -3468,7 +3469,7 @@ (|has| |#1| (-374)) (|has| |#1| (-374)) (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1121)))) -(((|#2|) -2759 (|has| |#2| (-6 (-4466 "*"))) (|has| |#2| (-174)))) +(((|#2|) -3795 (|has| |#2| (-6 (-4466 "*"))) (|has| |#2| (-174)))) (((|#2|) . T)) (|has| |#1| (-374)) (((|#2|) . T)) @@ -3482,12 +3483,12 @@ (((|#2| (-783)) . T)) ((((-1197)) . T)) ((((-884 |#1|)) . T)) -(-2759 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) -(-2759 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1070))) +(-3795 (|has| |#3| (-21)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) +(-3795 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-132)) (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-805)) (|has| |#3| (-1070))) ((((-876)) . T)) (((|#1|) . T)) -(-2759 (|has| |#2| (-805)) (|has| |#2| (-861))) -(-2759 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-861)) (|has| |#2| (-861)))) +(-3795 (|has| |#2| (-805)) (|has| |#2| (-861))) +(-3795 (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (-12 (|has| |#1| (-861)) (|has| |#2| (-861)))) ((((-884 |#1|)) . T)) (((|#1|) . T)) (|has| |#1| (-379)) @@ -3505,7 +3506,7 @@ (((|#1|) . T)) ((((-876)) . T)) ((($) . T) ((|#2|) . T) (((-419 (-576))) . T) (((-576)) |has| |#2| (-651 (-576)))) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) @@ -3514,7 +3515,7 @@ (((|#1|) . T)) ((((-876)) . T)) (|has| |#2| (-928)) -((((-2 (|:| -4300 (-1197)) (|:| -4439 (-52)))) . T)) +((((-2 (|:| -2240 (-1197)) (|:| -2905 (-52)))) . T)) ((((-548)) |has| |#2| (-626 (-548))) (((-907 (-390))) |has| |#2| (-626 (-907 (-390)))) (((-907 (-576))) |has| |#2| (-626 (-907 (-576))))) ((((-876)) . T)) ((((-876)) . T)) @@ -3525,7 +3526,7 @@ ((((-1193 |#1|)) . T) (((-876)) . T)) ((((-876)) . T)) ((((-419 (-576))) |has| |#2| (-1059 (-419 (-576)))) (((-576)) |has| |#2| (-1059 (-576))) ((|#2|) . T) (((-878 |#1|)) . T)) -((((-1197)) -2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1103)) . T)) +((((-1197)) -3795 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (((-1103)) . T)) ((((-117 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) ((((-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) (((-576)) |has| |#1| (-1059 (-576))) ((|#1|) . T) (((-1197)) . T)) ((((-876)) . T)) @@ -3544,10 +3545,10 @@ ((((-656 |#1|)) . T)) ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) ((($) . T) (((-576)) . T) (((-1274 |#1| |#2| |#3| |#4|)) . T) (((-419 (-576))) . 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T)) @@ -3561,16 +3562,16 @@ ((((-419 |#2|) |#3|) . T)) ((((-876)) . T)) (((|#1|) . T)) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) -(((|#2| (-494 (-3502 |#1|) (-783))) . T)) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) +(((|#2| (-494 (-1970 |#1|) (-783))) . T)) ((((-576) |#1|) . T)) ((((-1179)) . T) (((-876)) . T)) (((|#2| |#2|) . T)) (((|#1| (-543 (-1197))) . T)) -(-2759 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) +(-3795 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) ((((-576)) . T)) (((|#2|) . T)) -((($) -2759 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) +((($) -3795 (-12 (|has| |#2| (-238)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))))) (((|#2|) . T)) ((((-1197)) |has| |#1| (-917 (-1197))) (((-1103)) . T)) (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) @@ -3579,9 +3580,9 @@ ((($) . T) (((-419 (-576))) . T)) ((($) . T)) ((($) . T)) -(-2759 (|has| |#1| (-861)) (|has| |#1| (-1121))) +(-3795 (|has| |#1| (-861)) (|has| |#1| (-1121))) (((|#1|) . T)) -((($) -2759 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -3795 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((((-876)) . T)) ((((-145)) . T)) (((|#1|) . T) (((-419 (-576))) . T)) @@ -3590,7 +3591,7 @@ ((((-876)) . T)) (((|#1|) . T)) (|has| |#1| (-1173)) -((($ (-1197)) -2759 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) +((($ (-1197)) -3795 (|has| (-419 |#2|) (-917 (-1197))) (|has| (-419 |#2|) (-919 (-1197))))) (((|#1|) . T)) (((|#1| (-543 (-878 |#2|)) (-878 |#2|) (-792 |#1| (-878 |#2|))) . T)) ((((-419 $) (-419 $)) |has| |#1| (-568)) (($ $) . T) ((|#1| |#1|) . T)) @@ -3615,44 +3616,44 @@ (|has| |#1| (-1121)) (|has| |#1| (-1121)) (|has| |#2| (-374)) -(((|#1|) . T) (($) -2759 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) +(((|#1|) . T) (($) -3795 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) (|has| |#1| (-374)) (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576)))) -((($) -2759 (|has| |#2| (-238)) (|has| |#2| (-237)))) +((($) -3795 (|has| |#2| (-238)) (|has| |#2| (-237)))) ((((-576)) . T)) (|has| |#1| (-1121)) -((($ (-1197)) -2759 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) +((($ (-1197)) -3795 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) ((((-1197)) -12 (|has| |#4| (-917 (-1197))) (|has| |#4| (-1070)))) ((((-1197)) -12 (|has| |#3| (-917 (-1197))) (|has| |#3| (-1070)))) (((|#1|) . T)) (|has| |#1| (-238)) -(((|#2| (-245 (-3502 |#1|) (-783))) . T)) +(((|#2| (-245 (-1970 |#1|) (-783))) . 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T)) (((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) . T) (($ $) . T)) (((|#2|) . T) (((-419 (-576))) . T) (($) . T)) @@ -3855,7 +3856,7 @@ ((((-876)) . T)) ((((-876)) . T)) ((((-876)) . T)) -(-2759 (|has| |#1| (-238)) (|has| |#1| (-237))) +(-3795 (|has| |#1| (-238)) (|has| |#1| (-237))) (((|#1|) . T) (((-876)) . T) (((-1202)) . T)) ((((-1202)) . T)) ((((-876)) . T)) @@ -3864,21 +3865,21 @@ ((($) . T) (((-576)) . T) (((-117 |#1|)) . T) (((-419 (-576))) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (((|#1| (-543 (-878 |#2|)) (-878 |#2|) (-792 |#1| (-878 |#2|))) . T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2759 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3795 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928)))) (((|#2|) . T) ((|#6|) . T)) ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) ((($) . T) (((-576)) . T)) -((($) -2759 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -3795 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((((-1125)) . T)) ((((-876)) . T)) ((((-1202)) . T) (((-876)) . T)) ((((-1202)) . T) (((-876)) . T)) ((((-1202)) . T)) ((((-1202)) . T)) -((($) -2759 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -3795 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) ((($) . T) (((-576)) . T)) -((($) -2759 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -3795 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (|has| |#2| (-928)) (((|#1| |#2| (-245 |#1| |#2|) (-245 |#1| |#2|)) . T)) ((((-876)) . T)) @@ -3894,9 +3895,9 @@ (((|#1| |#1|) |has| |#1| (-174))) ((((-711)) . T)) ((((-711)) . T)) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) ((((-1202)) . T)) -(-2759 (|has| |#2| (-805)) (|has| |#2| (-861))) +(-3795 (|has| |#2| (-805)) (|has| |#2| (-861))) (((|#1|) |has| |#1| (-174))) ((((-1202)) . T)) ((((-1274 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) @@ -3906,20 +3907,20 @@ (((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-568)) (($) |has| |#1| (-568))) ((((-419 (-576))) . T) (($) . T)) (((|#1| (-576)) . T)) -((($ (-1197)) -2759 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1103)) . T)) +((($ (-1197)) -3795 (|has| |#1| (-917 (-1197))) (|has| |#1| (-919 (-1197)))) (($ (-1103)) . T)) ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) (((|#1|) |has| |#1| (-174))) ((((-1202)) . T)) ((((-1202)) . T)) ((((-1202)) . T)) ((((-1202)) . T)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-360))) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-360))) ((((-1202)) . T)) ((((-1202)) . T)) (|has| |#1| (-374)) (|has| |#1| (-374)) -(-2759 (|has| |#1| (-174)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-174)) (|has| |#1| (-568))) (((|#1| (-576)) . T)) (((|#1| (-419 (-576))) . T)) (((|#1| (-783)) . T)) @@ -3927,24 +3928,24 @@ (((|#1| (-543 |#2|) |#2|) . T)) ((((-576) |#1|) . T)) ((((-576) |#1|) . T)) -(-2759 (|has| |#1| (-102)) (|has| |#1| (-1121))) -(-2759 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) +(-3795 (|has| |#1| (-102)) (|has| |#1| (-1121))) +(-3795 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) ((((-576) |#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) ((((-907 (-390))) . T) (((-907 (-576))) . T) (((-1197)) . T) (((-548)) . T)) -(-2759 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) -(-2759 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) +(-3795 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1070))) +(-3795 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-132)) (|has| |#2| (-132))) (-12 (|has| |#1| (-805)) (|has| |#2| (-805)))) ((((-876)) . T)) ((((-576)) . T)) ((((-576)) . T)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T)) ((((-1197)) -12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070)))) (|has| |#2| (-1070)) -(-2759 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) +(-3795 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-374)) @@ -3977,7 +3978,7 @@ (((|#1| |#2|) . T)) ((((-576)) . T) ((|#2|) |has| |#2| (-174))) ((((-115)) . T) ((|#1|) . T) (((-576)) . T)) -(-2759 (|has| |#1| (-360)) (|has| |#1| (-379))) +(-3795 (|has| |#1| (-360)) (|has| |#1| (-379))) (((|#1| |#2|) . T)) ((((-227)) . T)) ((((-419 (-576))) . T) (($) . T) (((-576)) . T)) @@ -3986,11 +3987,11 @@ ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (((|#2|) |has| |#2| (-1121)) (((-576)) -12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (((-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) -(-2759 (|has| |#2| (-238)) (|has| |#2| (-237))) +(-3795 (|has| |#2| (-238)) (|has| |#2| (-237))) (((|#1|) . T)) (((|#1|) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-861)) (|has| |#1| (-1121)))) ((((-576) $) . T) (((-656 (-576)) $) . T)) ((($) . T) (((-419 (-576))) . T)) (|has| |#1| (-928)) @@ -4002,14 +4003,14 @@ (((|#1| |#1|) |has| |#1| (-174))) (((|#1|) . T) (((-576)) . T)) ((((-1202)) . T)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-568))) -(-2759 (|has| |#1| (-21)) (|has| |#1| (-860))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-3795 (|has| |#1| (-21)) (|has| |#1| (-860))) (((|#2|) . T)) -(-2759 (|has| |#1| (-21)) (|has| |#1| (-860))) +(-3795 (|has| |#1| (-21)) (|has| |#1| (-860))) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (((|#1|) . T)) -((((-876)) -2759 (-12 (|has| |#1| (-625 (-876))) (|has| |#2| (-625 (-876)))) (-12 (|has| |#1| (-1121)) (|has| |#2| (-1121))))) +((((-876)) -3795 (-12 (|has| |#1| (-625 (-876))) (|has| |#2| (-625 (-876)))) (-12 (|has| |#1| (-1121)) (|has| |#2| (-1121))))) ((((-419 |#2|) |#3|) . T)) ((((-419 (-576))) . T) (($) . T)) (|has| |#1| (-38 (-419 (-576)))) @@ -4018,7 +4019,7 @@ ((($) . T) (((-576)) . T)) (|has| (-419 |#2|) (-148)) (|has| (-419 |#2|) (-146)) -(-2759 (|has| |#3| (-805)) (|has| |#3| (-861))) +(-3795 (|has| |#3| (-805)) (|has| |#3| (-861))) ((($) . T)) ((((-711)) . T)) (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) @@ -4034,7 +4035,7 @@ ((((-1202)) . T)) ((((-576)) . T)) (((|#2|) . T)) -((((-1197)) -2759 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) +((((-1197)) -3795 (-12 (|has| (-1195 |#1| |#2| |#3|) (-917 (-1197))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-917 (-1197)))))) ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-917 (-1197))))) ((((-1197)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-917 (-1197))))) (((|#1| |#1|) . T) (($ $) . T)) @@ -4050,11 +4051,11 @@ ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) ((((-1161 |#1| |#2|)) . T)) ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) -(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) -((((-2 (|:| -4300 (-1197)) (|:| -4439 (-52)))) . T)) +(((|#2|) . T) (((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) +((((-2 (|:| -2240 (-1197)) (|:| -2905 (-52)))) . T)) ((($) . T)) (|has| |#1| (-1043)) -(((|#2|) . T) (((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) ((($) . T)) ((((-876)) . T)) ((((-548)) |has| |#2| (-626 (-548))) (((-907 (-576))) |has| |#2| (-626 (-907 (-576)))) (((-907 (-390))) |has| |#2| (-626 (-907 (-390)))) (((-390)) . #0=(|has| |#2| (-1043))) (((-227)) . #0#)) @@ -4063,7 +4064,7 @@ (((|#1|) . T)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -((((-1197)) -2759 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) +((((-1197)) -3795 (|has| |#2| (-917 (-1197))) (|has| |#2| (-919 (-1197))))) ((((-876)) . T)) (((|#2|) . T)) ((((-876)) . T)) @@ -4073,15 +4074,15 @@ ((((-1195 |#1| |#2| |#3|)) . T)) ((((-1195 |#1| |#2| |#3|)) . T) (((-1188 |#1| |#2| |#3|)) . T)) ((((-876)) . T)) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) ((((-576) |#1|) . T)) ((((-1195 |#1| |#2| |#3|)) |has| |#1| (-374))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (((|#2|) . T)) (|has| |#2| (-374)) -(((|#3|) . T) ((|#2|) . T) ((|#4|) -2759 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070))) (($) |has| |#4| (-1070)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1070)))) -(((|#2|) . T) ((|#3|) -2759 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1070)))) +(((|#3|) . T) ((|#2|) . T) ((|#4|) -3795 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1070))) (($) |has| |#4| (-1070)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1070)))) +(((|#2|) . T) ((|#3|) -3795 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1070))) (($) |has| |#3| (-1070)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1070)))) (((|#1|) . T)) (((|#1|) . T)) ((((-117 |#1|)) . T)) @@ -4095,7 +4096,7 @@ ((((-189)) . T) (((-876)) . T)) ((((-876)) . T)) (((|#1|) . T)) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) ((((-130)) . T) (((-876)) . T)) ((((-576) |#1|) . T) (((-1255 (-576)) $) . T)) ((((-130)) . T)) @@ -4104,14 +4105,14 @@ (((|#1|) . T)) (((|#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) (($ $) . T) (((-576) |#1|) . T)) ((($ $) . T) (((-419 (-576)) |#1|) . T)) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-928))) ((($ (-1197)) |has| |#1| (-1070))) -(-2759 (|has| |#1| (-861)) (|has| |#1| (-1121))) +(-3795 (|has| |#1| (-861)) (|has| |#1| (-1121))) ((((-876)) . T)) ((((-876)) . T)) ((((-876)) . T)) (((|#1| (-543 |#2|)) . T)) -((((-2 (|:| -4300 (-1197)) (|:| -4439 (-52)))) . T)) +((((-2 (|:| -2240 (-1197)) (|:| -2905 (-52)))) . T)) ((((-576) (-130)) . T)) (((|#1| (-576)) . T)) (((|#1| (-419 (-576))) . T)) @@ -4126,8 +4127,8 @@ ((((-1202)) . T)) ((((-876)) . T) (((-1202)) . T)) ((((-876)) . T) (((-1202)) . T)) -(-2759 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) -(-2759 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) +(-3795 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) +(-3795 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-928))) ((($) . T)) (((|#2| (-543 (-878 |#1|))) . T)) ((((-1202)) . T)) @@ -4142,7 +4143,7 @@ ((((-1202)) . T)) ((((-876)) . T) (((-1202)) . T)) ((((-1202)) . T)) -((((-876)) -2759 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) +((((-876)) -3795 (|has| |#1| (-625 (-876))) (|has| |#1| (-1121)))) (((|#1| |#2|) . T)) (((|#1|) . T)) ((((-1179) |#1|) . T)) @@ -4150,7 +4151,7 @@ ((((-419 |#2|)) . T)) (|has| |#1| (-568)) (|has| |#1| (-568)) -((((-2 (|:| -4300 |#1|) (|:| -4439 |#2|))) . T)) +((((-2 (|:| -2240 |#1|) (|:| -2905 |#2|))) . T)) (((|#2| (-783)) . T)) ((($) . T) ((|#2|) . T)) ((($) . T) (((-419 (-576))) . T)) @@ -4160,14 +4161,14 @@ ((((-576)) . T) (($) . T)) (((|#2| $) |has| |#2| (-296 |#2| |#2|))) (((|#1| (-656 |#1|)) |has| |#1| (-860))) -(-2759 (|has| |#1| (-238)) (|has| |#1| (-360))) -(-2759 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-238)) (|has| |#1| (-360))) +(-3795 (|has| |#1| (-374)) (|has| |#1| (-360))) ((((-1284 |#1|)) . T) (((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1059 (-419 (-576))))) (|has| |#1| (-1121)) (((|#1|) . T)) ((((-419 (-576))) . T) (($) . T)) -((((-1284 |#1|)) . T) (((-576)) . T) (($) -2759 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-928))) (((-1103)) . T) ((|#2|) . T) (((-419 (-576))) -2759 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1059 (-419 (-576)))))) -((((-1020 |#1|)) . T) ((|#1|) . T) (((-576)) -2759 (|has| (-1020 |#1|) (-1059 (-576))) (|has| |#1| (-1059 (-576)))) (((-419 (-576))) -2759 (|has| (-1020 |#1|) (-1059 (-419 (-576)))) (|has| |#1| (-1059 (-419 (-576)))))) +((((-1284 |#1|)) . T) (((-576)) . 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201163) ((-326 . -911) 201127) ((-323 . -911) NIL) ((-724 . -464) 201058) ((-48 . -102) T) ((-1272 . -296) 201016) ((-1251 . -296) 200916) ((-656 . -678) 200900) ((-656 . -663) 200884) ((-350 . -21) T) ((-350 . -25) T) ((-40 . -360) NIL) ((-176 . -21) T) ((-176 . -25) T) ((-656 . -384) 200868) ((-617 . -502) 200850) ((-614 . -296) 200802) ((-617 . -625) 200769) ((-400 . -102) T) ((-1141 . -144) T) ((-127 . -625) 200701) ((-888 . -1121) T) ((-670 . -423) 200685) ((-743 . -1238) T) ((-726 . -625) 200667) ((-255 . -625) 200634) ((-189 . -625) 200616) ((-163 . -625) 200598) ((-158 . -625) 200580) ((-1303 . -738) T) ((-1123 . -34) T) ((-885 . -807) NIL) ((-885 . -804) NIL) ((-872 . -861) T) ((-743 . -901) NIL) ((-1312 . -132) T) ((-392 . -132) T) ((-907 . -628) 200548) ((-923 . -102) T) ((-743 . -1059) 200424) ((-1195 . -1238) T) ((-1194 . -1238) T) ((-543 . -132) T) ((-1188 . -1238) T) ((-1108 . -423) 200408) ((-1021 . -501) 200392) ((-118 . -412) 200369) ((-1147 . -1238) T) ((-794 . -423) 200353) ((-792 . -423) 200337) ((-962 . -34) T) ((-706 . -1173) NIL) ((-258 . -660) 200157) ((-257 . -660) 199964) ((-829 . -939) 199943) ((-466 . -423) 199927) ((-614 . -19) 199911) ((-1167 . -1231) 199880) ((-1188 . -901) NIL) ((-1188 . -899) 199832) ((-614 . -616) 199809) ((-108 . -864) T) ((-1224 . -625) 199741) ((-1196 . -625) 199723) ((-62 . -407) T) ((-1194 . -1059) 199658) ((-1188 . -1059) 199624) ((-706 . -38) 199574) ((-40 . -658) 199504) ((-486 . -296) 199462) ((-1244 . -625) 199444) ((-743 . -388) 199428) ((-850 . -625) 199410) ((-670 . -1079) T) ((-635 . -919) 199333) ((-1272 . -1023) 199299) ((-448 . -1238) T) ((-1251 . -1023) 199265) ((-256 . -1238) T) ((-1109 . -628) 199249) ((-1084 . -1214) 199224) ((-1097 . -628) 199201) ((-886 . -626) 199008) ((-886 . -625) 198990) ((-118 . -919) NIL) ((-713 . -234) 198977) ((-1210 . -501) 198914) ((-430 . -1043) 198892) ((-48 . -319) 198879) ((-1084 . -107) 198825) ((-491 . -501) 198762) ((-537 . -1238) T) ((-532 . -1238) T) ((-1188 . -349) 198714) ((-1162 . -501) 198685) ((-1188 . -388) 198637) ((-1108 . -1079) T) ((-449 . -102) T) ((-185 . -1121) T) ((-258 . -34) T) ((-257 . -34) T) ((-1179 . -864) T) ((-862 . -628) 198621) ((-794 . -1079) T) ((-792 . -1079) T) ((-743 . -917) 198598) ((-466 . -1079) T) ((-59 . -501) 198582) ((-1055 . -1077) 198556) ((-531 . -501) 198540) ((-528 . -501) 198524) ((-509 . -501) 198508) ((-508 . -501) 198492) ((-250 . -526) 198425) ((-1055 . -111) 198392) ((-1195 . -917) 198305) ((-1194 . -917) 198211) ((-682 . -1133) T) ((-1188 . -917) 198044) ((-657 . -93) T) ((-1147 . -917) 198028) ((-365 . -1173) T) ((-332 . -1077) 198010) ((-31 . -502) 197991) ((-258 . -806) 197970) ((-258 . -805) 197949) ((-257 . -806) 197928) ((-257 . -805) 197907) ((-31 . -625) 197873) ((-50 . -1079) T) ((-258 . -738) 197851) ((-257 . -738) 197829) ((-1232 . -1121) T) ((-682 . -23) T) ((-593 . -1079) T) ((-530 . -1079) T) ((-390 . -1077) 197794) ((-332 . -111) 197769) ((-73 . -394) T) ((-73 . -407) T) 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195042) ((-337 . -526) 194975) ((-508 . -296) 194927) ((-390 . -248) T) ((-390 . -238) T) ((-848 . -1070) T) ((-839 . -1070) T) ((-724 . -968) 194896) ((-713 . -861) T) ((-624 . -864) T) ((-486 . -625) 194878) ((-1274 . -1072) 194783) ((-592 . -658) 194755) ((-576 . -658) 194727) ((-507 . -658) 194677) ((-839 . -238) 194656) ((-135 . -861) T) ((-1274 . -652) 194548) ((-670 . -1121) T) ((-1210 . -616) 194527) ((-562 . -1214) 194506) ((-347 . -1121) T) ((-329 . -374) 194485) ((-419 . -148) 194464) ((-419 . -146) 194443) ((-983 . -1133) 194342) ((-827 . -1133) 194320) ((-245 . -917) 194252) ((-666 . -866) 194236) ((-491 . -616) 194215) ((-110 . -864) T) ((-536 . -1238) T) ((-562 . -107) 194165) ((-1025 . -388) 194147) ((-1025 . -349) 194129) ((-1197 . -625) 194111) ((-97 . -1121) T) ((-983 . -23) 193922) ((-489 . -21) T) ((-489 . -25) T) ((-827 . -23) 193774) ((-1197 . -626) 193696) ((-59 . -19) 193680) ((-1193 . -738) T) ((-1146 . -738) T) ((-1108 . -1121) T) ((-528 . -19) 193664) ((-508 . -19) 193648) ((-59 . -616) 193625) ((-1024 . -237) 193562) ((-920 . -102) 193512) ((-868 . -738) T) ((-794 . -1121) T) ((-528 . -616) 193489) ((-508 . -616) 193466) ((-792 . -1121) T) ((-792 . -1086) 193433) ((-473 . -1121) T) ((-466 . -1121) T) ((-598 . -729) 193408) ((-661 . -1121) T) ((-1280 . -47) 193385) ((-1274 . -102) T) ((-1273 . -47) 193355) ((-1252 . -47) 193332) ((-1232 . -174) 193283) ((-1194 . -317) 193262) ((-1188 . -317) 193241) ((-1117 . -628) 193222) ((-1111 . -628) 193203) ((-1101 . -568) 193154) ((-1101 . -1242) 193105) ((-1025 . -917) NIL) ((-1094 . -628) 193086) ((-682 . -132) T) ((-639 . -1133) T) ((-1087 . -628) 193067) ((-1057 . -628) 193048) ((-1040 . -628) 193029) ((-726 . -1077) 192999) ((-711 . -658) 192949) ((-284 . -1121) T) ((-85 . -453) T) ((-85 . -407) T) ((-724 . -911) 192852) ((-723 . -174) T) ((-50 . -1121) T) ((-607 . -47) 192829) ((-227 . -660) 192794) ((-593 . -1121) T) ((-530 . -1121) T) ((-499 . -832) T) ((-499 . -939) T) ((-370 . -1242) T) 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190310) ((-355 . -625) 190292) ((-273 . -626) 190040) ((-273 . -625) 190022) ((-253 . -625) 190004) ((-253 . -626) 189865) ((-139 . -93) T) ((-138 . -93) T) ((-134 . -93) T) ((-1162 . -625) 189847) ((-1141 . -652) 189834) ((-1141 . -1072) 189821) ((-831 . -738) T) ((-831 . -871) T) ((-614 . -298) 189798) ((-593 . -729) 189763) ((-491 . -626) NIL) ((-491 . -625) 189745) ((-530 . -729) 189690) ((-326 . -102) T) ((-323 . -102) T) ((-299 . -23) T) ((-153 . -132) T) ((-929 . -625) 189672) ((-929 . -626) 189654) ((-398 . -738) T) ((-886 . -1077) 189606) ((-886 . -111) 189544) ((-726 . -1070) T) ((-724 . -1264) 189528) ((-706 . -360) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-531 . -625) 189460) ((-390 . -807) T) ((-169 . -1238) T) ((-225 . -1121) T) ((-390 . -804) T) ((-59 . -626) 189421) ((-227 . -806) T) ((-227 . -803) T) ((-59 . -625) 189333) ((-227 . -738) T) ((-528 . -626) 189294) ((-528 . -625) 189206) ((-509 . -625) 189138) ((-508 . -626) 189099) ((-508 . -625) 189011) ((-1101 . -374) 188962) ((-40 . -423) 188939) ((-77 . -1238) T) ((-885 . -928) NIL) ((-370 . -339) 188923) ((-370 . -374) T) ((-364 . -339) 188907) ((-364 . -374) T) ((-356 . -339) 188891) ((-356 . -374) T) ((-326 . -294) 188870) ((-108 . -374) T) ((-70 . -1238) T) ((-1252 . -349) 188822) ((-885 . -660) 188767) ((-1252 . -388) 188719) ((-983 . -132) 188574) ((-827 . -132) 188445) ((-45 . -864) NIL) ((-977 . -663) 188429) ((-1108 . -174) 188340) ((-977 . -384) 188324) ((-1083 . -806) T) ((-1083 . -803) T) ((-886 . -628) 188222) ((-794 . -174) 188113) ((-792 . -174) 188024) ((-828 . -47) 187986) ((-1083 . -738) T) ((-337 . -501) 187970) ((-971 . -738) T) ((-1301 . -319) 187908) ((-1280 . -917) 187821) ((-466 . -174) 187732) ((-250 . -296) 187684) ((-1273 . -917) 187590) ((-1272 . -1077) 187425) ((-1252 . -917) 187258) ((-493 . -738) T) ((-1251 . -1077) 187066) ((-1232 . -300) 187045) ((-1207 . -1238) T) ((-1204 . -379) T) ((-1203 . -379) T) ((-1167 . -152) 187029) ((-1141 . -102) T) ((-1139 . -1121) T) ((-1101 . -23) T) ((-1101 . -1133) T) ((-1096 . -102) T) ((-1078 . -625) 186996) ((-1024 . -421) 186968) ((-946 . -974) T) ((-749 . -319) 186906) ((-75 . -1238) T) ((-676 . -393) 186878) ((-171 . -928) 186831) ((-30 . -974) T) ((-112 . -856) T) ((-1 . -625) 186813) ((-1020 . -911) 186734) ((-129 . -663) 186716) ((-50 . -632) 186700) ((-706 . -658) 186635) ((-607 . -917) 186548) ((-450 . -102) T) ((-129 . -384) 186530) ((-142 . -319) NIL) ((-886 . -1070) T) ((-845 . -861) 186509) ((-81 . -1238) T) ((-723 . -300) T) ((-40 . -1079) T) ((-593 . -174) T) ((-530 . -174) T) ((-523 . -625) 186491) ((-171 . -660) 186365) ((-519 . -625) 186347) ((-362 . -148) 186329) ((-362 . -146) T) ((-370 . -1133) T) ((-364 . -1133) T) ((-356 . -1133) T) ((-1025 . -317) T) ((-933 . -317) T) ((-886 . -248) T) ((-108 . -1133) T) ((-886 . -238) 186308) ((-1272 . -111) 186129) ((-1251 . -111) 185918) ((-250 . -1276) 185902) ((-576 . -860) T) ((-370 . -23) T) ((-365 . -360) T) ((-326 . -319) 185889) ((-323 . -319) 185830) ((-364 . -23) T) ((-329 . -132) T) ((-356 . -23) T) ((-1025 . -1043) T) ((-31 . -628) 185811) ((-108 . -23) T) ((-666 . -1072) 185795) ((-250 . -616) 185772) ((-343 . -1121) T) ((-666 . -652) 185742) ((-1274 . -38) 185634) ((-1261 . -928) 185613) ((-112 . -1121) T) ((-828 . -1238) T) ((-425 . -1238) T) ((-1056 . -102) T) ((-1261 . -660) 185502) ((-885 . -806) NIL) ((-869 . -660) 185476) ((-885 . -803) NIL) ((-828 . -901) NIL) ((-885 . -738) T) ((-1108 . -526) 185349) ((-794 . -526) 185296) ((-792 . -526) 185248) ((-583 . -660) 185235) ((-828 . -1059) 185063) ((-466 . -526) 185006) ((-400 . -401) T) ((-1272 . -628) 184819) ((-1251 . -628) 184567) ((-60 . -1238) T) ((-633 . -861) 184546) ((-512 . -673) T) ((-1167 . -997) 184515) ((-1045 . -658) 184452) ((-1024 . -464) T) ((-711 . -860) T) ((-522 . -804) T) ((-486 . -1077) 184287) ((-512 . -113) T) ((-354 . -1121) T) ((-323 . -1173) NIL) ((-299 . -132) T) ((-406 . -1121) T) ((-884 . -1079) T) ((-706 . -381) 184254) ((-365 . -658) 184184) ((-225 . -632) 184161) ((-337 . -296) 184113) ((-486 . -111) 183934) ((-1272 . -1070) T) ((-1251 . -1070) T) ((-828 . -388) 183918) ((-836 . -1238) T) ((-171 . -738) T) ((-1303 . -1238) T) ((-666 . -102) T) ((-1272 . -248) 183897) ((-1272 . -238) 183849) ((-1251 . -238) 183754) ((-1251 . -248) 183733) ((-1024 . -414) NIL) ((-682 . -651) 183681) ((-326 . -38) 183591) ((-323 . -38) 183520) ((-69 . -625) 183502) ((-329 . -505) 183468) ((-48 . -658) 183418) ((-1210 . -298) 183397) ((-1246 . -861) T) ((-1134 . -1133) 183375) ((-83 . -1238) T) ((-61 . -625) 183357) ((-878 . -864) T) ((-491 . -298) 183336) ((-1303 . -1059) 183313) ((-1185 . -1121) T) ((-1134 . -23) 183165) ((-828 . -917) 183101) ((-1261 . -738) T) ((-1123 . -1238) T) ((-486 . -628) 182927) ((-362 . -237) T) ((-1108 . -300) 182858) ((-985 . -1121) T) ((-908 . -102) T) ((-794 . -300) 182769) ((-337 . -19) 182753) ((-59 . -298) 182730) ((-792 . -300) 182661) ((-869 . -738) T) ((-118 . -860) NIL) ((-528 . -298) 182638) ((-337 . -616) 182615) ((-508 . -298) 182592) ((-466 . -300) 182523) ((-1056 . -319) 182374) ((-890 . -502) 182355) ((-890 . -625) 182321) ((-693 . -502) 182302) ((-583 . -738) T) ((-688 . -502) 182283) ((-693 . -625) 182233) ((-688 . -625) 182199) ((-674 . -625) 182181) ((-490 . -502) 182162) ((-490 . -625) 182128) ((-250 . -626) 182089) ((-250 . -502) 182066) ((-139 . -502) 182047) ((-138 . -502) 182028) ((-134 . -502) 182009) ((-250 . -625) 181901) ((-215 . -102) T) ((-139 . -625) 181867) ((-138 . -625) 181833) ((-134 . -625) 181799) ((-1168 . -34) T) ((-962 . -1238) T) ((-354 . -729) 181744) ((-682 . -25) T) ((-682 . -21) T) ((-1197 . -628) 181725) ((-341 . -1238) T) ((-486 . -1070) T) ((-647 . -429) 181690) ((-619 . -429) 181655) ((-1141 . -1173) T) ((-1273 . -317) 181634) ((-724 . -1072) 181457) ((-593 . -300) T) ((-530 . -300) T) ((-1252 . -317) 181436) ((-486 . -238) 181388) ((-486 . -248) 181367) ((-451 . -1238) T) ((-724 . -652) 181196) ((-1252 . -1043) NIL) ((-1101 . -132) T) ((-886 . -807) 181175) ((-145 . -102) T) ((-40 . -1121) T) ((-886 . -804) 181154) ((-656 . -1031) 181138) ((-592 . -1079) T) ((-576 . -1079) T) ((-507 . -1079) T) ((-419 . -464) T) ((-370 . -132) T) ((-326 . -412) 181122) ((-323 . -412) 181083) ((-364 . -132) T) ((-356 . -132) T) ((-1202 . -1121) T) ((-1141 . -38) 181070) ((-1115 . -625) 181037) ((-108 . -132) T) ((-973 . -1121) T) ((-940 . -1121) T) ((-783 . -1121) T) ((-684 . -1121) T) ((-713 . -148) T) ((-117 . -148) T) ((-1310 . -21) T) ((-1310 . -25) T) ((-1308 . -21) T) ((-1308 . -25) T) ((-676 . -1077) 181021) ((-543 . -861) T) ((-512 . -861) T) ((-376 . -1238) T) ((-366 . -1077) 180973) ((-363 . -1077) 180925) ((-355 . -1077) 180877) ((-258 . -1238) T) ((-257 . -1238) T) ((-273 . -1077) 180720) ((-253 . -1077) 180563) ((-676 . -111) 180542) ((-829 . -1242) 180521) ((-559 . -856) T) ((-326 . -919) 180487) ((-366 . -111) 180425) ((-363 . -111) 180363) ((-355 . -111) 180301) ((-273 . -111) 180130) ((-253 . -111) 179959) ((-323 . -919) NIL) ((-635 . -423) 179943) ((-44 . -21) T) ((-44 . -25) T) ((-924 . -864) 179894) ((-827 . -651) 179800) ((-829 . -568) 179779) ((-499 . -864) T) ((-258 . -1059) 179606) ((-257 . -1059) 179433) ((-127 . -120) 179417) ((-219 . -864) T) ((-929 . -1077) 179382) ((-724 . -102) T) ((-711 . -1079) T) ((-609 . -628) 179363) ((-597 . -628) 179344) ((-548 . -630) 179247) ((-354 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -625) 179229) ((-929 . -111) 179185) ((-40 . -729) 179130) ((-884 . -1121) T) ((-676 . -628) 179107) ((-657 . -628) 179088) ((-366 . -628) 179025) ((-363 . -628) 178962) ((-355 . -628) 178899) ((-559 . -1121) T) ((-337 . -626) 178860) ((-337 . -625) 178772) ((-273 . -628) 178525) ((-253 . -628) 178310) ((-188 . -1238) T) ((-1251 . -804) 178263) ((-1251 . -807) 178216) ((-258 . -388) 178185) ((-257 . -388) 178154) ((-561 . -864) T) ((-666 . -38) 178124) ((-620 . -34) T) ((-494 . -1133) 178102) ((-487 . -34) T) ((-1134 . -132) 177973) ((-983 . -25) 177784) ((-929 . -628) 177734) ((-888 . -625) 177716) ((-983 . -21) 177671) ((-827 . -25) 177504) ((-827 . -21) 177415) ((-1244 . -379) T) ((-635 . -1079) T) ((-1199 . -568) 177394) ((-1193 . -47) 177371) ((-366 . -1070) T) ((-363 . -1070) T) ((-494 . -23) 177223) ((-355 . -1070) T) ((-273 . -1070) T) ((-253 . -1070) T) ((-1146 . -47) 177195) ((-118 . -1079) T) ((-1055 . -660) 177169) ((-977 . -34) T) ((-366 . -238) 177148) ((-366 . -248) T) ((-363 . -238) 177127) ((-363 . -248) T) ((-355 . -238) 177106) ((-355 . -248) T) ((-273 . -336) 177078) ((-253 . -336) 177035) ((-273 . -238) 177014) ((-1178 . -152) 176998) ((-258 . -917) 176930) ((-257 . -917) 176862) ((-1163 . -911) 176783) ((-1103 . -861) T) ((-1255 . -1238) 176761) ((-426 . -1133) T) ((-1075 . -23) T) ((-1045 . -860) T) ((-929 . -1070) T) ((-332 . -660) 176743) ((-713 . -237) T) ((-682 . -234) 176688) ((-1232 . -1023) 176654) ((-1194 . -939) 176633) ((-1188 . -939) 176612) ((-1188 . -832) NIL) ((-1020 . -1072) 176508) ((-986 . -1238) T) ((-929 . -248) T) ((-829 . -374) 176487) ((-396 . -23) T) ((-128 . -1121) 176465) ((-122 . -1121) 176443) ((-929 . -238) T) ((-129 . -34) T) ((-390 . -660) 176408) ((-1020 . -652) 176356) ((-884 . -729) 176343) ((-1317 . -658) 176315) ((-1067 . -152) 176280) ((-1014 . -1238) T) ((-876 . -1238) T) ((-40 . -174) T) ((-706 . -423) 176262) ((-724 . -319) 176249) ((-848 . -660) 176209) ((-839 . -660) 176183) ((-329 . -25) T) ((-329 . -21) T) ((-670 . -296) 176162) ((-592 . -1121) T) ((-576 . -1121) T) ((-507 . -1121) T) ((-1193 . -1238) T) ((-250 . -298) 176139) ((-1146 . -1238) T) ((-868 . -1238) T) ((-323 . -272) 176100) ((-323 . -232) 176061) ((-1243 . -864) T) ((-1193 . -901) NIL) ((-55 . -1121) T) ((-1146 . -901) 175920) ((-130 . -861) T) ((-1193 . -1059) 175800) ((-1146 . -1059) 175683) ((-185 . -625) 175665) ((-868 . -1059) 175561) ((-794 . -296) 175488) ((-829 . -1133) T) ((-1055 . -738) T) ((-1067 . -997) 175417) ((-614 . -663) 175401) ((-1024 . -911) 175308) ((-1020 . -102) T) ((-829 . -23) T) ((-724 . -1173) 175286) ((-706 . -1079) T) ((-614 . -384) 175270) ((-362 . -464) T) ((-354 . -300) T) ((-1289 . -1121) T) ((-254 . -1121) T) ((-411 . -102) T) ((-299 . -21) T) ((-299 . -25) T) ((-372 . -738) T) ((-722 . -1121) T) ((-711 . -1121) T) ((-372 . -485) T) ((-1232 . -625) 175252) ((-1193 . -388) 175236) ((-1146 . -388) 175220) ((-1045 . -423) 175182) ((-142 . -231) 175164) ((-390 . -806) T) ((-390 . -803) T) ((-884 . -174) T) ((-390 . -738) T) ((-723 . -625) 175146) ((-724 . -38) 174975) ((-1288 . -1286) 174959) ((-362 . -414) T) ((-1288 . -1121) 174909) ((-1211 . -1121) T) ((-592 . -729) 174896) ((-576 . -729) 174883) ((-507 . -729) 174848) ((-1274 . -658) 174738) ((-326 . -641) 174717) ((-848 . -738) T) ((-839 . -738) T) ((-1136 . -1238) T) ((-656 . -1238) T) ((-1101 . -651) 174665) ((-1193 . -917) 174608) ((-1146 . -917) 174592) ((-827 . -234) 174483) ((-674 . -1077) 174467) ((-108 . -651) 174449) ((-494 . -132) 174320) ((-1199 . -1133) T) ((-831 . -1238) T) ((-971 . -47) 174289) ((-635 . -1121) T) ((-674 . -111) 174268) ((-503 . -625) 174234) ((-337 . -298) 174211) ((-398 . -1238) T) ((-334 . -1238) T) ((-493 . -47) 174168) ((-1199 . -23) T) ((-118 . -1121) T) ((-103 . -102) 174118) ((-1300 . -1133) T) ((-560 . -861) T) ((-227 . -1238) T) ((-1075 . -132) T) ((-1045 . -1079) T) ((-1300 . -23) T) ((-831 . -1059) 174102) ((-1218 . -625) 174084) ((-1024 . -736) 174056) ((-1141 . -840) T) ((-711 . -729) 174021) ((-598 . -625) 174003) ((-398 . -1059) 173987) ((-365 . -1079) T) ((-396 . -132) T) ((-334 . -1059) 173971) ((-1126 . -1121) T) ((-1101 . -21) T) ((-1101 . -25) T) ((-227 . -901) 173953) ((-1025 . -939) T) ((-91 . -34) T) ((-1025 . -832) T) ((-933 . -939) T) ((-1020 . -319) 173918) ((-890 . -628) 173899) ((-499 . -1242) T) ((-726 . -660) 173859) ((-693 . -628) 173840) ((-688 . -628) 173821) ((-219 . -1242) T) ((-419 . -911) 173742) ((-227 . -1059) 173702) ((-40 . -300) T) ((-499 . -568) T) ((-490 . -628) 173683) ((-370 . -25) T) ((-326 . -658) 173338) ((-323 . -658) 173252) ((-370 . -21) T) ((-364 . -25) T) ((-364 . -21) T) ((-219 . -568) T) ((-356 . -25) T) ((-356 . -21) T) ((-329 . -234) 173198) ((-250 . -628) 173175) ((-139 . -628) 173156) ((-138 . -628) 173137) ((-134 . -628) 173118) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1079) T) ((-592 . -174) T) ((-576 . -174) T) ((-507 . -174) T) ((-1083 . -1238) T) ((-971 . -1238) T) ((-725 . -1238) T) ((-670 . -625) 173100) ((-493 . -1238) T) ((-749 . -748) 173084) ((-347 . -625) 173066) ((-68 . -394) T) ((-68 . -407) T) ((-1123 . -107) 173050) ((-1083 . -901) 173032) ((-971 . -901) 172957) ((-665 . -1133) T) ((-635 . -729) 172944) ((-493 . -901) NIL) ((-1167 . -102) T) ((-1115 . -630) 172928) ((-1083 . -1059) 172910) ((-97 . -625) 172892) ((-489 . -148) T) ((-971 . -1059) 172772) ((-118 . -729) 172717) ((-724 . -919) 172624) ((-665 . -23) T) ((-493 . -1059) 172500) ((-1108 . -626) NIL) ((-1108 . -625) 172482) ((-794 . -626) NIL) ((-794 . -625) 172443) ((-792 . -626) 172077) ((-792 . -625) 171991) ((-1134 . -651) 171897) ((-811 . -864) 171876) ((-473 . -625) 171858) ((-466 . -625) 171840) ((-466 . -626) 171701) ((-1056 . -231) 171647) ((-886 . -928) 171626) ((-127 . -34) T) ((-829 . -132) T) ((-661 . -625) 171608) ((-590 . -102) T) ((-366 . -1307) 171592) ((-363 . -1307) 171576) ((-355 . -1307) 171560) ((-122 . -526) 171493) ((-128 . -526) 171426) ((-523 . -804) T) ((-523 . -807) T) ((-522 . -806) T) ((-103 . -319) 171364) ((-224 . -102) 171314) ((-711 . -174) T) ((-706 . -1121) T) ((-886 . -660) 171230) ((-65 . -395) T) ((-284 . -625) 171212) ((-65 . -407) T) ((-971 . -388) 171196) ((-884 . -300) T) ((-50 . -625) 171178) ((-1020 . -38) 171126) ((-1141 . -658) 171098) ((-593 . -625) 171080) ((-493 . -388) 171064) ((-593 . -626) 171046) ((-530 . -625) 171028) ((-929 . -1307) 171015) ((-885 . -1238) T) ((-713 . -464) T) ((-507 . -526) 170981) ((-1299 . -1238) T) ((-1298 . -1238) T) ((-499 . -374) T) ((-366 . -379) 170960) ((-363 . -379) 170939) ((-355 . -379) 170918) ((-726 . -738) T) ((-219 . -374) T) ((-117 . -464) T) ((-1311 . -1302) 170902) ((-885 . -899) 170879) ((-885 . -901) NIL) ((-983 . -861) 170778) ((-827 . -861) 170729) ((-1245 . -102) T) ((-666 . -668) 170713) ((-1224 . -34) T) ((-173 . -625) 170695) ((-1134 . -25) 170528) ((-1134 . -21) 170439) ((-885 . -1059) 170416) ((-971 . -917) 170397) ((-1261 . -47) 170374) ((-929 . -379) T) ((-605 . -864) T) ((-59 . -663) 170358) ((-528 . -663) 170342) ((-493 . -917) 170319) ((-71 . -453) T) ((-71 . -407) T) ((-508 . -663) 170303) ((-59 . -384) 170287) ((-635 . -174) T) ((-528 . -384) 170271) ((-508 . -384) 170255) ((-558 . -1238) T) ((-839 . -720) 170239) ((-1193 . -317) 170218) ((-1199 . -132) T) ((-1163 . -1072) 170202) ((-118 . -174) T) ((-1163 . -652) 170134) ((-1167 . -319) 170072) ((-171 . -1238) T) ((-1300 . -132) T) ((-1273 . -939) 170051) ((-1252 . -939) 170030) ((-1252 . -832) NIL) ((-880 . -1072) 170000) ((-647 . -756) 169984) ((-619 . -756) 169968) ((-1251 . -928) 169921) ((-1045 . -1121) T) ((-924 . -1133) T) ((-880 . -652) 169891) ((-706 . -729) 169841) ((-915 . -1238) T) ((-885 . -388) 169818) ((-885 . -349) 169795) ((-853 . -1238) T) ((-820 . -1238) T) ((-171 . -899) 169779) ((-171 . -901) 169704) ((-781 . -1238) T) ((-689 . -1238) T) ((-1288 . -526) 169637) ((-1272 . -660) 169534) ((-1101 . -234) 169407) ((-499 . -1133) T) ((-365 . -1121) T) ((-219 . -1133) T) ((-76 . -453) T) ((-76 . -407) T) ((-171 . -1059) 169303) ((-304 . -911) 169260) ((-329 . -861) T) ((-1251 . -660) 169068) ((-886 . -806) 169047) ((-886 . -803) 169026) ((-886 . -738) T) ((-499 . -23) T) ((-370 . -234) 168999) ((-364 . -234) 168972) ((-356 . -234) 168945) ((-176 . -464) T) ((-86 . -453) T) ((-224 . -319) 168883) ((-86 . -407) T) ((-225 . -625) 168865) ((-108 . -234) 168852) ((-219 . -23) T) ((-1312 . -1305) 168831) ((-689 . -1059) 168815) ((-592 . -300) T) ((-576 . -300) T) ((-507 . -300) T) ((-1261 . -1238) T) ((-137 . -482) 168770) ((-869 . -1238) T) ((-666 . -658) 168729) ((-48 . -1121) T) ((-724 . -272) 168713) ((-724 . -232) 168697) ((-885 . -917) NIL) ((-583 . -1238) T) ((-1261 . -901) NIL) ((-904 . -102) T) ((-900 . -102) T) ((-400 . -1121) T) ((-171 . -388) 168681) ((-171 . -349) 168665) ((-1261 . -1059) 168545) ((-869 . -1059) 168441) ((-1163 . -102) T) ((-1020 . -919) 168364) ((-674 . -804) 168343) ((-665 . -132) T) ((-674 . -807) 168322) ((-118 . -526) 168230) ((-583 . -1059) 168212) ((-304 . -1295) 168182) ((-1188 . -864) NIL) ((-880 . -102) T) ((-982 . -568) 168161) ((-1232 . -1077) 168044) ((-1024 . -1072) 167989) ((-494 . -651) 167895) ((-923 . -1121) T) ((-1045 . -729) 167832) ((-723 . -1077) 167797) ((-1024 . -652) 167742) ((-629 . -102) T) ((-614 . -34) T) ((-1168 . -1238) T) ((-1232 . -111) 167611) ((-486 . -660) 167508) ((-365 . -729) 167453) ((-171 . -917) 167412) ((-711 . -300) T) ((-706 . -174) T) ((-723 . -111) 167368) ((-1317 . -1079) T) ((-1261 . -388) 167352) ((-430 . -1242) 167330) ((-1139 . -625) 167312) ((-323 . -860) NIL) ((-430 . -568) T) ((-227 . -317) T) ((-1251 . -803) 167265) ((-1251 . -806) 167218) ((-1272 . -738) T) ((-1251 . -738) T) ((-48 . -729) 167183) ((-227 . -1043) T) ((-1274 . -423) 167149) ((-1261 . -917) 167092) ((-362 . -1295) 167069) ((-1232 . -628) 166951) ((-730 . -738) T) ((-343 . -625) 166933) ((-532 . -864) 166912) ((-1134 . -234) 166803) ((-112 . -625) 166785) ((-112 . -626) 166767) ((-730 . -485) T) ((-723 . -628) 166717) ((-1311 . -1072) 166701) ((-494 . -25) 166534) ((-128 . -501) 166518) ((-122 . -501) 166502) ((-494 . -21) 166413) ((-1311 . -652) 166383) ((-635 . -300) T) ((-598 . -1077) 166358) ((-449 . -1121) T) ((-1083 . -317) T) ((-118 . -300) T) ((-1125 . -102) T) ((-1024 . -102) T) ((-598 . -111) 166326) ((-1232 . -1070) T) ((-1163 . -319) 166264) ((-1083 . -1043) T) ((-1075 . -25) T) ((-66 . -1238) T) ((-907 . -1238) T) ((-1075 . -21) T) ((-723 . -1070) T) ((-396 . -21) T) ((-396 . -25) T) ((-706 . -526) NIL) ((-1045 . -174) T) ((-723 . -248) T) ((-1083 . -557) T) ((-724 . -658) 166174) ((-518 . -102) T) ((-514 . -102) T) ((-365 . -174) T) ((-354 . -625) 166156) ((-419 . -1072) 166108) ((-406 . -625) 166090) ((-1141 . -860) T) ((-486 . -738) T) ((-907 . -1059) 166058) ((-419 . -652) 166010) ((-108 . -861) T) ((-670 . -1077) 165994) ((-499 . -132) T) ((-1274 . -1079) T) ((-219 . -132) T) ((-1178 . -102) 165944) ((-99 . -1121) T) ((-245 . -864) 165895) ((-250 . -678) 165879) ((-250 . -663) 165863) ((-670 . -111) 165842) ((-598 . -628) 165826) ((-326 . -423) 165810) ((-250 . -384) 165794) ((-1180 . -240) 165741) ((-1020 . -272) 165725) ((-1020 . -232) 165709) ((-74 . -1238) T) ((-48 . -174) T) ((-713 . -399) T) ((-713 . -144) T) ((-1311 . -102) T) ((-1219 . -1238) T) ((-1218 . -628) 165691) ((-1109 . -1238) T) ((-1108 . -1077) 165534) ((-1097 . -1238) T) ((-273 . -928) 165513) ((-253 . -928) 165492) ((-794 . -1077) 165315) ((-792 . -1077) 165158) ((-620 . -1238) T) ((-1185 . -625) 165140) ((-1108 . 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163519) ((-593 . -1077) 163484) ((-530 . -1077) 163429) ((-229 . -57) 163387) ((-465 . -23) T) ((-419 . -102) T) ((-1203 . -1238) T) ((-270 . -102) T) ((-110 . -113) T) ((-706 . -300) T) ((-880 . -38) 163357) ((-1108 . -628) 163093) ((-593 . -111) 163049) ((-530 . -111) 162978) ((-430 . -1133) T) ((-326 . -1079) 162868) ((-323 . -1079) T) ((-129 . -1238) T) ((-131 . -1238) T) ((-794 . -628) 162616) ((-792 . -628) 162382) ((-670 . -1070) T) ((-1317 . -1121) T) ((-466 . -628) 162167) ((-171 . -317) 162098) ((-430 . -23) T) ((-40 . -625) 162080) ((-40 . -626) 162064) ((-108 . -1013) 162046) ((-117 . -883) 162030) ((-661 . -628) 162014) ((-48 . -526) 161980) ((-1224 . -1031) 161964) ((-1202 . -625) 161931) ((-1210 . -34) T) ((-973 . -625) 161897) ((-940 . -625) 161879) ((-1134 . -861) 161830) ((-783 . -625) 161812) ((-684 . -625) 161794) ((-529 . -1238) T) ((-1261 . -317) 161773) ((-1178 . -319) 161711) ((-1162 . -34) T) ((-491 . -34) T) ((-1113 . -1238) T) ((-489 . -464) T) ((-1055 . -1238) T) ((-1108 . -1070) T) ((-50 . -628) 161680) ((-794 . -1070) T) ((-792 . -1070) T) ((-659 . -240) 161664) ((-644 . -240) 161610) ((-1199 . -21) T) ((-593 . -628) 161560) ((-530 . -628) 161490) ((-494 . -234) 161381) ((-1199 . -25) T) ((-1108 . -336) 161342) ((-466 . -1070) T) ((-1108 . -238) 161321) ((-794 . -336) 161298) ((-794 . -238) T) ((-792 . -336) 161270) ((-743 . -1242) 161249) ((-531 . -34) T) ((-337 . -663) 161233) ((-528 . -34) T) ((-59 . -34) T) ((-509 . -34) T) ((-508 . -34) T) ((-466 . -336) 161212) ((-337 . -384) 161196) ((-372 . -1238) T) ((-332 . -1238) T) ((-1024 . -1173) NIL) ((-743 . -568) 161127) ((-647 . -102) T) ((-619 . -102) T) ((-366 . -738) T) ((-363 . -738) T) ((-355 . -738) T) ((-273 . -738) T) ((-253 . -738) T) ((-390 . -1238) T) ((-1300 . -21) T) ((-1067 . -319) 161035) ((-1300 . -25) T) ((-920 . -1121) 161013) ((-830 . -234) 161000) ((-50 . -1070) T) ((-1195 . -568) 160979) ((-1194 . -1242) 160958) ((-1194 . -568) 160909) ((-1188 . -1242) 160888) 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. -851) T) ((-282 . -851) T) ((-281 . -851) T) ((-280 . -851) T) ((-48 . -300) T) ((-279 . -851) T) ((-278 . -851) T) ((-277 . -851) T) ((-195 . -799) T) ((-624 . -861) T) ((-666 . -423) 160118) ((-682 . -237) 160069) ((-225 . -628) 160031) ((-110 . -861) T) ((-665 . -21) T) ((-665 . -25) T) ((-1311 . -38) 160001) ((-118 . -296) 159952) ((-1288 . -19) 159936) ((-1252 . -864) NIL) ((-1288 . -616) 159913) ((-1301 . -1121) T) ((-362 . -1072) 159858) ((-1098 . -1121) T) ((-1008 . -1121) T) ((-982 . -132) T) ((-829 . -234) 159845) ((-749 . -1121) T) ((-362 . -652) 159790) ((-747 . -132) T) ((-727 . -132) T) ((-523 . -805) T) ((-523 . -806) T) ((-465 . -132) T) ((-419 . -1173) 159768) ((-225 . -1070) T) ((-304 . -102) 159550) ((-142 . -1121) T) ((-711 . -1023) T) ((-1126 . -296) 159506) ((-91 . -1238) T) ((-128 . -625) 159438) ((-122 . -625) 159370) ((-1317 . -174) T) ((-1194 . -374) 159349) ((-1188 . -374) 159328) ((-326 . -1121) T) ((-430 . -132) T) ((-323 . -1121) T) ((-419 . -38) 159280) 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. -1133) T) ((-1194 . -23) T) ((-527 . -1059) 158566) ((-1188 . -1133) T) ((-1147 . -1133) T) ((-354 . -111) 158495) ((-1025 . -1242) T) ((-127 . -1238) T) ((-933 . -1242) T) ((-1188 . -23) T) ((-1163 . -272) 158479) ((-706 . -296) NIL) ((-726 . -1238) T) ((-1163 . -232) 158463) ((-1147 . -23) T) ((-1096 . -1121) T) ((-1025 . -568) T) ((-933 . -568) T) ((-255 . -1238) T) ((-189 . -1238) T) ((-163 . -1238) T) ((-158 . -1238) T) ((-254 . -625) 158445) ((-827 . -237) 158342) ((-811 . -132) T) ((-722 . -625) 158324) ((-326 . -729) 158234) ((-323 . -729) 158163) ((-711 . -625) 158145) ((-711 . -626) 158090) ((-419 . -412) 158074) ((-450 . -1121) T) ((-499 . -25) T) ((-499 . -21) T) ((-1141 . -1121) T) ((-219 . -25) T) ((-219 . -21) T) ((-724 . -423) 158058) ((-726 . -1059) 158027) ((-1288 . -625) 157939) ((-1288 . -626) 157900) ((-1274 . -174) T) ((-1211 . -625) 157882) ((-250 . -34) T) ((-354 . -628) 157812) ((-406 . -628) 157794) ((-945 . -995) T) ((-1224 . -1238) T) ((-674 . -803) 157773) ((-674 . -806) 157752) ((-410 . -407) T) ((-535 . -102) 157702) ((-1244 . -1238) T) ((-1056 . -1121) T) ((-419 . -919) 157625) ((-224 . -1016) 157609) ((-850 . -1238) T) ((-516 . -102) T) ((-635 . -625) 157591) ((-45 . -861) NIL) ((-635 . -626) 157568) ((-1056 . -622) 157543) ((-920 . -526) 157476) ((-329 . -237) 157428) ((-354 . -1070) T) ((-118 . -626) NIL) ((-118 . -625) 157410) ((-886 . -1238) T) ((-682 . -429) 157394) ((-682 . -1144) 157339) ((-512 . -152) 157321) ((-354 . -238) T) ((-354 . -248) T) ((-40 . -1077) 157266) ((-886 . -899) 157250) ((-886 . -901) 157175) ((-724 . -1079) T) ((-706 . -1023) NIL) ((-1272 . -47) 157145) ((-1251 . -47) 157122) ((-1162 . -1031) 157093) ((-1141 . -729) 157080) ((-3 . |UnionCategory|) T) ((-1126 . -625) 157062) ((-1101 . -148) 157041) ((-1101 . -146) 156992) ((-1025 . -374) T) ((-985 . -628) 156976) ((-227 . -939) T) ((-40 . -111) 156905) ((-886 . -1059) 156769) ((-1024 . -232) 156746) ((-1024 . -272) 156723) ((-713 . -1072) 156710) 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-1242) 155619) ((-362 . -1173) T) ((-337 . -34) T) ((-44 . -429) 155603) ((-1202 . -628) 155539) ((-887 . -1238) T) ((-402 . -756) 155523) ((-1252 . -568) 155474) ((-1251 . -1238) T) ((-1163 . -658) 155433) ((-743 . -132) T) ((-684 . -628) 155417) ((-1251 . -901) 155290) ((-1251 . -899) 155260) ((-1195 . -132) T) ((-1194 . -132) T) ((-1188 . -132) T) ((-1147 . -132) T) ((-321 . -1104) T) ((-1045 . -1023) T) ((-749 . -526) 155193) ((-1025 . -23) T) ((-1025 . -1133) T) ((-908 . -1121) T) ((-145 . -856) T) ((-1024 . -360) NIL) ((-703 . -625) 155175) ((-962 . -864) 155154) ((-535 . -319) 155092) ((-992 . -23) T) ((-142 . -526) NIL) ((-880 . -658) 155037) ((-933 . -1133) T) ((-933 . -23) T) ((-886 . -917) 154996) ((-362 . -38) 154961) ((-884 . -1077) 154948) ((-341 . -864) T) ((-82 . -625) 154930) ((-40 . -1070) T) ((-884 . -111) 154915) ((-730 . -1238) T) ((-713 . -102) T) ((-706 . -625) 154897) ((-614 . -1238) T) ((-608 . -568) 154876) ((-439 . -1133) T) ((-350 . -1072) 154860) ((-215 . 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-660) 150297) ((-1162 . -1238) T) ((-561 . -861) T) ((-473 . -660) 150268) ((-273 . -901) 150127) ((-253 . -901) NIL) ((-118 . -1077) 150072) ((-466 . -660) 149961) ((-676 . -1059) 149938) ((-635 . -111) 149923) ((-402 . -1072) 149907) ((-366 . -1059) 149891) ((-363 . -1059) 149875) ((-355 . -1059) 149859) ((-273 . -1059) 149703) ((-253 . -1059) 149579) ((-929 . -1238) T) ((-118 . -111) 149508) ((-59 . -1238) T) ((-402 . -652) 149492) ((-633 . -1072) 149476) ((-531 . -1238) T) ((-528 . -1238) T) ((-509 . -1238) T) ((-508 . -1238) T) ((-449 . -625) 149458) ((-446 . -625) 149440) ((-633 . -652) 149424) ((-3 . -102) T) ((-1048 . -1231) 149393) ((-845 . -102) T) ((-701 . -57) 149351) ((-711 . -1070) T) ((-647 . -658) 149320) ((-619 . -658) 149289) ((-50 . -660) 149263) ((-299 . -464) T) ((-488 . -1231) 149232) ((0 . -102) T) ((-593 . -660) 149197) ((-530 . -660) 149142) ((-49 . -102) T) ((-929 . -1059) 149129) ((-711 . -248) T) ((-1101 . -421) 149108) ((-743 . -651) 149056) ((-1020 . -1121) T) ((-724 . -174) 148947) ((-635 . -628) 148842) ((-499 . -1013) 148824) ((-430 . -234) 148769) ((-273 . -388) 148753) ((-253 . -388) 148737) ((-411 . -1121) T) ((-1047 . -102) 148715) ((-350 . -38) 148699) ((-219 . -1013) 148681) ((-118 . -628) 148611) ((-176 . -38) 148543) ((-1272 . -317) 148522) ((-1251 . -317) 148501) ((-670 . -738) T) ((-99 . -625) 148483) ((-489 . -1072) 148448) ((-1188 . -651) 148400) ((-489 . -652) 148365) ((-656 . -864) 148344) ((-497 . -25) T) ((-497 . -21) T) ((-1251 . -1043) 148296) ((-1078 . -1238) T) ((-1 . -1238) T) ((-635 . -1070) T) ((-390 . -416) T) ((-402 . -102) T) ((-1126 . -630) 148211) ((-273 . -917) 148157) ((-253 . -917) 148134) ((-118 . -1070) T) ((-1108 . -738) T) ((-828 . -1133) T) ((-831 . -864) T) ((-635 . -238) 148113) ((-633 . -102) T) ((-523 . -1238) T) ((-519 . -1238) T) ((-794 . -738) T) ((-792 . -738) T) ((-1243 . -861) T) ((-425 . -1133) T) ((-118 . -248) T) ((-40 . -379) NIL) ((-118 . -238) NIL) ((-398 . -864) 148092) ((-466 . -738) T) ((-828 . -23) T) ((-743 . -25) T) ((-743 . -21) T) ((-682 . -911) 148013) ((-1098 . -296) 147992) ((-78 . -408) T) ((-78 . -407) T) ((-545 . -779) 147974) ((-227 . -864) T) ((-706 . -1077) 147924) ((-1313 . -102) T) ((-1280 . -132) T) ((-1273 . -132) T) ((-1252 . -132) T) ((-1195 . -25) T) ((-1163 . -423) 147908) ((-647 . -378) 147840) ((-619 . -378) 147772) ((-1178 . -1170) 147756) ((-103 . -1121) 147734) ((-1195 . -21) T) ((-1194 . -21) T) ((-879 . -625) 147716) ((-1020 . -729) 147664) ((-225 . -660) 147631) ((-706 . -111) 147565) ((-50 . -738) T) ((-1194 . -25) T) ((-362 . -360) T) ((-1188 . -21) T) ((-1101 . -464) 147516) ((-1188 . -25) T) ((-724 . -526) 147463) ((-593 . -738) T) ((-530 . -738) T) ((-1147 . -21) T) ((-1147 . -25) T) ((-608 . -132) T) ((-607 . -132) T) ((-304 . -658) 147198) ((-494 . -237) 147095) ((-370 . -464) T) ((-364 . -464) T) ((-356 . -464) T) ((-486 . -317) 147074) ((-1246 . -102) T) ((-323 . -296) 147009) ((-108 . -464) T) ((-79 . -453) T) ((-79 . -407) T) ((-489 . -102) T) ((-703 . -628) 146993) ((-1317 . -625) 146975) ((-1317 . -626) 146957) ((-1101 . -414) 146936) ((-1056 . -501) 146867) ((-137 . -296) 146844) ((-576 . -807) T) ((-576 . -804) T) ((-1084 . -240) 146790) ((-1083 . -864) T) ((-725 . -864) T) ((-370 . -414) 146741) ((-364 . -414) 146692) ((-356 . -414) 146643) ((-1303 . -1133) T) ((-1312 . -1072) 146627) ((-392 . -1072) 146611) ((-1312 . -652) 146581) ((-830 . -237) T) ((-392 . -652) 146551) ((-706 . -628) 146486) ((-1303 . -23) T) ((-1290 . -102) T) ((-350 . -919) 146467) ((-177 . -625) 146449) ((-1163 . -1079) T) ((-559 . -379) T) ((-682 . -756) 146433) ((-1199 . -146) 146412) ((-1199 . -148) 146391) ((-1167 . -1121) T) ((-1167 . -1092) 146360) ((-69 . -1238) T) ((-1045 . -1077) 146297) ((-362 . -658) 146227) ((-880 . -1079) T) ((-245 . -651) 146133) ((-706 . -1070) T) ((-365 . -1077) 146078) ((-61 . -1238) T) ((-1045 . -111) 145994) ((-920 . -625) 145905) ((-706 . -248) T) ((-706 . -238) NIL) ((-855 . -860) 145884) ((-711 . -807) T) ((-711 . -804) T) ((-1024 . -423) 145861) ((-365 . -111) 145790) ((-390 . -939) T) ((-419 . -860) 145769) ((-724 . -300) 145680) ((-225 . -738) T) ((-1280 . -505) 145646) ((-1273 . -505) 145612) ((-1252 . -505) 145578) ((-590 . -1121) T) ((-326 . -1023) 145557) ((-224 . -1121) 145535) ((-1245 . -856) T) ((-329 . -994) 145497) ((-105 . -102) T) ((-48 . -1077) 145462) ((-885 . -864) NIL) ((-1312 . -102) T) ((-392 . -102) T) ((-1274 . -625) 145444) ((-1154 . -1155) 145428) ((-1025 . -651) 145410) ((-890 . -1238) T) ((-48 . -111) 145366) ((-693 . -1238) T) ((-688 . -1238) T) ((-674 . -1238) T) ((-827 . -911) 145233) ((-490 . -1238) T) ((-250 . -1238) T) ((-543 . -102) T) ((-512 . -102) T) ((-153 . -1295) 145217) ((-139 . -1238) T) ((-138 . -1238) T) ((-134 . -1238) T) ((-1237 . -102) T) ((-1045 . -628) 145154) ((-829 . -237) T) ((-1193 . -1242) 145133) ((-365 . -628) 145063) ((-1146 . -1242) 145042) ((-245 . -25) 144875) ((-245 . -21) 144786) ((-128 . -120) 144770) ((-122 . -120) 144754) ((-44 . -756) 144738) ((-1193 . -568) 144649) ((-1146 . -568) 144580) ((-1245 . -1121) T) ((-558 . -864) T) ((-1056 . -296) 144555) ((-1187 . -1104) T) ((-1015 . -1104) T) ((-828 . -132) T) ((-118 . -807) NIL) ((-118 . -804) NIL) ((-366 . -317) T) ((-363 . -317) T) ((-355 . -317) T) ((-1115 . -1238) 144533) ((-258 . -1133) 144511) ((-257 . -1133) 144489) ((-1045 . -1070) T) ((-1024 . -1079) T) ((-48 . -628) 144422) ((-354 . -660) 144367) ((-1301 . -625) 144329) ((-1301 . -626) 144290) ((-633 . -38) 144274) ((-1195 . -234) 144227) ((-1194 . -234) 144173) ((-1098 . -625) 144155) ((-1045 . -248) T) ((-365 . -1070) T) ((-827 . -1295) 144125) ((-258 . -23) T) ((-257 . -23) T) ((-1008 . -625) 144107) ((-1188 . -234) 143924) ((-1180 . -152) 143871) ((-749 . -626) 143832) ((-749 . -625) 143814) ((-1025 . -25) T) ((-811 . -861) 143793) ((-1020 . -526) 143705) ((-689 . -864) T) ((-365 . -238) T) ((-365 . -248) T) ((-400 . -628) 143686) ((-929 . -317) T) ((-142 . -625) 143668) ((-142 . -626) 143627) ((-329 . -911) 143531) ((-1025 . -21) T) ((-992 . -25) T) ((-933 . -21) T) ((-933 . -25) T) ((-439 . -21) T) ((-439 . -25) T) ((-855 . -423) 143515) ((-48 . -1070) T) ((-1310 . -1302) 143499) ((-1308 . -1302) 143483) ((-1056 . -616) 143458) ((-326 . -626) 143319) ((-326 . -625) 143301) ((-323 . -626) NIL) ((-323 . -625) 143283) ((-48 . -248) T) ((-48 . -238) T) ((-666 . -296) 143244) ((-562 . -240) 143194) ((-583 . -864) T) ((-140 . -625) 143161) ((-137 . -625) 143143) ((-115 . -625) 143125) ((-489 . -38) 143090) ((-1312 . -1309) 143069) ((-1303 . -132) T) ((-1311 . -1079) T) ((-1103 . -102) T) ((-88 . -1238) T) ((-512 . -319) NIL) ((-1021 . -107) 143053) ((-904 . -1121) T) ((-900 . -1121) T) ((-1288 . -663) 143037) ((-1288 . -384) 143021) ((-337 . -1238) T) ((-605 . -861) T) ((-1163 . -1121) T) ((-1163 . -1074) 142961) ((-103 . -526) 142894) ((-946 . -625) 142876) ((-354 . -738) T) ((-30 . -625) 142858) ((-880 . -1121) T) ((-855 . -1079) 142837) 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T) ((-783 . -738) T) ((-227 . -374) T) ((-1310 . -1072) 141059) ((-1308 . -1072) 141043) ((-1310 . -652) 141013) ((-1178 . -1121) 140991) ((-885 . -1242) T) ((-1308 . -652) 140961) ((-1109 . -864) T) ((-666 . -625) 140943) ((-885 . -568) T) ((-706 . -379) NIL) ((-44 . -1072) 140927) ((-1317 . -628) 140909) ((-1311 . -1121) T) ((-682 . -102) T) ((-370 . -1295) 140893) ((-364 . -1295) 140877) ((-44 . -652) 140861) ((-356 . -1295) 140845) ((-560 . -102) T) ((-1232 . -1238) T) ((-532 . -861) 140824) ((-723 . -1238) T) ((-977 . -864) 140803) ((-862 . -864) T) ((-499 . -237) T) ((-219 . -237) T) ((-1067 . -1121) T) ((-829 . -464) 140782) ((-153 . -1072) 140766) ((-1067 . -1092) 140695) ((-1048 . -997) 140664) ((-831 . -1133) T) ((-1024 . -729) 140609) ((-153 . -652) 140593) ((-398 . -1133) T) ((-488 . -997) 140562) ((-475 . -997) 140531) ((-1204 . -864) T) ((-110 . -152) 140513) ((-73 . -625) 140495) ((-908 . -625) 140477) ((-1203 . -864) T) ((-1101 . -736) 140456) ((-1317 . -1070) T) ((-828 . -651) 140404) ((-304 . -1079) 140346) ((-171 . -1242) 140251) ((-227 . -1133) T) ((-334 . -23) T) ((-1188 . -1013) 140203) ((-1274 . -1077) 140108) ((-855 . -1121) T) ((-129 . -864) T) ((-1147 . -752) 140087) ((-1272 . -939) 140066) ((-1251 . -939) 140045) ((-884 . -738) T) ((-171 . -568) 139956) ((-592 . -660) 139943) ((-576 . -660) 139915) ((-419 . -1121) T) ((-270 . -1121) T) ((-215 . -625) 139897) ((-507 . -660) 139847) ((-227 . -23) T) ((-1251 . -832) 139800) ((-1310 . -102) T) ((-503 . -1238) T) ((-365 . -1307) 139777) ((-1308 . -102) T) ((-1274 . -111) 139669) ((-1134 . -911) 139536) ((-827 . -1072) 139437) ((-827 . -652) 139359) ((-145 . -625) 139341) ((-1014 . -132) T) ((-44 . -102) T) ((-245 . -861) 139292) ((-598 . -1238) T) ((-1261 . -1242) 139271) ((-103 . -501) 139255) ((-1311 . -729) 139225) ((-1108 . -47) 139186) ((-1083 . -1133) T) ((-971 . -1133) T) ((-128 . -34) T) ((-122 . -34) T) ((-1261 . -568) 139097) ((-794 . -47) 139074) ((-792 . -47) 139046) ((-1218 . -1238) T) ((-1193 . -132) T) ((-365 . -379) T) ((-493 . -1133) T) ((-1146 . -132) T) ((-885 . -374) T) ((-466 . -47) 139025) ((-868 . -132) T) ((-332 . -864) 139004) ((-153 . -102) T) ((-1083 . -23) T) ((-971 . -23) T) ((-583 . -568) T) ((-828 . -25) T) ((-828 . -21) T) ((-1163 . -526) 138937) ((-604 . -1104) T) ((-598 . -1059) 138921) ((-1274 . -628) 138795) ((-493 . -23) T) ((-362 . -1079) T) ((-390 . -864) T) ((-1232 . -917) 138776) ((-682 . -319) 138714) ((-1280 . -234) 138667) ((-1134 . -1295) 138637) ((-711 . -660) 138602) ((-1025 . -861) T) ((-1024 . -174) T) ((-982 . -146) 138581) ((-647 . -1121) T) ((-619 . -1121) T) ((-982 . -148) 138560) ((-747 . -148) 138539) ((-747 . -146) 138518) ((-670 . -1238) T) ((-992 . -861) T) ((-1273 . -234) 138464) ((-1252 . -234) 138281) ((-845 . -658) 138198) ((-486 . -939) 138177) ((-347 . -1238) T) ((-329 . -1072) 138012) ((-326 . -1077) 137922) ((-323 . -1077) 137851) ((-1020 . -296) 137809) ((-419 . -729) 137761) ((-329 . -652) 137602) ((-607 . 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134491) ((-258 . -651) 134397) ((-257 . -651) 134303) ((-329 . -294) 134269) ((-1178 . -526) 134202) ((-489 . -658) 134152) ((-494 . -911) 134019) ((-1154 . -1121) T) ((-227 . -1081) T) ((-827 . -319) 133957) ((-1108 . -917) 133892) ((-794 . -917) 133835) ((-792 . -917) 133819) ((-1310 . -38) 133789) ((-1308 . -38) 133759) ((-1261 . -1133) T) ((-869 . -1133) T) ((-466 . -917) 133736) ((-872 . -1121) T) ((-1261 . -23) T) ((-1141 . -628) 133708) ((-1083 . -132) T) ((-869 . -23) T) ((-583 . -1133) T) ((-635 . -738) T) ((-522 . -864) T) ((-366 . -939) T) ((-363 . -939) T) ((-299 . -102) T) ((-355 . -939) T) ((-991 . -1104) T) ((-971 . -132) T) ((-828 . -234) 133653) ((-118 . -806) NIL) ((-118 . -803) NIL) ((-118 . -738) T) ((-1067 . -526) 133554) ((-706 . -928) NIL) ((-583 . -23) T) ((-493 . -132) T) ((-430 . -237) 133505) ((-687 . -319) 133443) ((-225 . -1238) T) ((-647 . -773) T) ((-619 . -773) T) ((-1252 . -861) NIL) ((-1101 . -1072) 133353) ((-1024 . -300) T) ((-706 . -660) 133303) 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130870) ((-908 . -628) 130847) ((-1134 . -652) 130769) ((-1187 . -102) T) ((-1015 . -102) T) ((-1014 . -21) T) ((-128 . -1031) 130753) ((-122 . -1031) 130737) ((-1014 . -25) T) ((-920 . -120) 130721) ((-1179 . -102) T) ((-1261 . -132) T) ((-1251 . -864) 130620) ((-1193 . -25) T) ((-1193 . -21) T) ((-1180 . -319) 130415) ((-354 . -1238) T) ((-1146 . -25) T) ((-869 . -132) T) ((-406 . -1238) T) ((-1146 . -21) T) ((-868 . -25) T) ((-868 . -21) T) ((-794 . -317) 130394) ((-1178 . -501) 130378) ((-1171 . -152) 130328) ((-1167 . -625) 130290) ((-659 . -102) 130240) ((-644 . -102) T) ((-1167 . -626) 130201) ((-583 . -132) T) ((-633 . -860) 130180) ((-1045 . -803) T) ((-1045 . -806) T) ((-1045 . -738) T) ((-827 . -919) 130049) ((-724 . -1077) 129872) ((-614 . -864) 129851) ((-496 . -319) 129789) ((-465 . -429) 129759) ((-362 . -174) T) ((-299 . -38) 129746) ((-258 . -234) 129637) ((-257 . -234) 129528) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) 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T) ((-724 . -1070) T) ((-1083 . -651) 127157) ((-1101 . -38) 127025) ((-971 . -651) 126973) ((-1025 . -148) T) ((-1025 . -146) NIL) ((-390 . -1133) T) ((-334 . -25) T) ((-332 . -23) T) ((-962 . -861) 126952) ((-724 . -336) 126929) ((-493 . -651) 126877) ((-40 . -1059) 126765) ((-724 . -238) T) ((-713 . -729) 126752) ((-350 . -1121) T) ((-176 . -1121) T) ((-341 . -861) T) ((-430 . -464) 126702) ((-390 . -23) T) ((-370 . -38) 126667) ((-364 . -38) 126632) ((-356 . -38) 126597) ((-80 . -453) T) ((-80 . -407) T) ((-227 . -25) T) ((-227 . -21) T) ((-848 . -1133) T) ((-108 . -38) 126547) ((-839 . -1133) T) ((-786 . -1121) T) ((-117 . -729) 126534) ((-684 . -1059) 126518) ((-624 . -102) T) ((-848 . -23) T) ((-839 . -23) T) ((-1178 . -296) 126470) ((-1134 . -319) 126408) ((-494 . -1072) 126309) ((-1123 . -240) 126293) ((-64 . -408) T) ((-64 . -407) T) ((-1172 . -102) T) ((-110 . -102) T) ((-494 . -652) 126215) ((-40 . -388) 126192) ((-96 . -102) T) ((-665 . -866) 126176) ((-1193 . -234) 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T) ((-419 . -296) 124890) ((-245 . -237) 124787) ((-108 . -412) 124769) ((-84 . -395) T) ((-84 . -407) T) ((-713 . -174) T) ((-629 . -625) 124751) ((-99 . -738) T) ((-494 . -102) 124483) ((-99 . -485) T) ((-117 . -174) T) ((-1310 . -658) 124442) ((-1308 . -658) 124401) ((-171 . -651) 124349) ((-1101 . -919) 124220) ((-1075 . -102) T) ((-1020 . -628) 124110) ((-885 . -25) T) ((-827 . -243) 124089) ((-885 . -21) T) ((-830 . -102) T) ((-44 . -658) 124032) ((-1025 . -237) T) ((-426 . -102) T) ((-396 . -102) T) ((-110 . -319) NIL) ((-229 . -102) 123982) ((-128 . -1238) T) ((-122 . -1238) T) ((-108 . -919) NIL) ((-829 . -1072) 123933) ((-59 . -864) 123912) ((-829 . -652) 123854) ((-528 . -864) 123833) ((-508 . -864) 123812) ((-1055 . -132) T) ((-682 . -378) 123796) ((-153 . -658) 123755) ((-1317 . -738) T) ((-647 . -296) 123713) ((-619 . -296) 123671) ((-1280 . -146) 123650) ((-1261 . -651) 123598) ((-1020 . -1070) T) ((-1125 . -625) 123580) ((-1024 . -625) 123562) ((-592 . -1238) T) ((-576 . -1238) T) ((-507 . -1238) T) ((-527 . -23) T) ((-522 . -23) T) ((-354 . -317) T) ((-520 . -23) T) ((-332 . -132) T) ((-3 . -1121) T) ((-1024 . -626) 123546) ((-1020 . -248) 123525) ((-1020 . -238) 123504) ((-1280 . -148) 123483) ((-1273 . -148) 123462) ((-845 . -1121) T) ((-1273 . -146) 123441) ((-1272 . -1242) 123420) ((-1252 . -146) 123327) ((-1252 . -148) 123234) ((-1251 . -1242) 123213) ((-390 . -132) T) ((-227 . -234) 123200) ((-176 . -174) T) ((-576 . -901) 123182) ((0 . -1121) T) ((-171 . -21) T) ((-171 . -25) T) ((-55 . -1238) T) ((-49 . -1121) T) ((-1274 . -660) 123087) ((-1272 . -568) 123038) ((-726 . -1133) T) ((-1251 . -568) 122989) ((-576 . -1059) 122971) ((-607 . -148) 122950) ((-607 . -146) 122929) ((-507 . -1059) 122872) ((-1156 . -1158) T) ((-87 . -395) T) ((-87 . -407) T) ((-886 . -374) T) ((-848 . -132) T) ((-839 . -132) T) ((-983 . -658) 122816) ((-726 . -23) T) ((-518 . -625) 122782) ((-514 . -625) 122764) ((-827 . -658) 122543) ((-1312 . -1079) T) ((-390 . -1081) T) ((-1047 . -1121) 122521) ((-55 . -1059) 122503) ((-920 . -34) T) ((-494 . -319) 122441) ((-604 . -102) T) ((-1178 . -626) 122402) ((-1178 . -625) 122334) ((-1199 . -1072) 122217) ((-45 . -102) T) ((-829 . -102) T) ((-1199 . -652) 122114) ((-1289 . -1238) T) ((-1261 . -25) T) ((-1261 . -21) T) ((-1083 . -234) 122101) ((-869 . -25) T) ((-523 . -864) T) ((-254 . -1238) T) ((-44 . -378) 122085) ((-869 . -21) T) ((-743 . -464) 122036) ((-1311 . -625) 122018) ((-722 . -1238) T) ((-711 . -1238) T) ((-1300 . -1072) 121988) ((-1075 . -319) 121926) ((-683 . -1104) T) ((-618 . -1104) T) ((-402 . -1121) T) ((-583 . -25) T) ((-583 . -21) T) ((-182 . -1104) T) ((-162 . -1104) T) ((-157 . -1104) T) ((-155 . -1104) T) ((-1300 . -652) 121896) ((-633 . -1121) T) ((-711 . -901) 121878) ((-1288 . -1238) T) ((-229 . -319) 121816) ((-145 . -379) T) ((-1211 . -1238) T) ((-1067 . -626) 121758) ((-1067 . -625) 121701) ((-323 . -928) NIL) ((-1246 . -856) T) ((-1134 . -919) 121570) ((-711 . -1059) 121515) ((-723 . -939) T) ((-486 . -1242) 121494) ((-1194 . -464) 121473) ((-1188 . -464) 121452) ((-340 . -102) T) ((-886 . -1133) T) ((-329 . -658) 121334) ((-326 . -660) 121063) ((-323 . -660) 120992) ((-486 . -568) 120943) ((-350 . -526) 120909) ((-562 . -152) 120859) ((-40 . -317) T) ((-855 . -625) 120841) ((-713 . -300) T) ((-886 . -23) T) ((-390 . -505) T) ((-1101 . -272) 120811) ((-1101 . -232) 120781) ((-524 . -102) T) ((-419 . -626) 120588) ((-419 . -625) 120570) ((-270 . -625) 120552) ((-117 . -300) T) ((-1274 . -738) T) ((-635 . -1238) T) ((-1313 . -1121) T) ((-1272 . -374) 120531) ((-1251 . -374) 120510) ((-1301 . -34) T) ((-1246 . -1121) T) ((-118 . -1238) T) ((-108 . -272) 120492) ((-108 . -232) 120474) ((-1199 . -102) T) ((-489 . -1121) T) ((-535 . -501) 120458) ((-749 . -34) T) ((-665 . -1072) 120442) ((-665 . -652) 120412) ((-885 . -234) NIL) ((-142 . -34) T) ((-118 . -899) 120389) ((-118 . -901) NIL) ((-635 . -1059) 120272) ((-1300 . -102) T) ((-1280 . -237) 120231) 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. -234) 118770) ((-884 . -317) T) ((-323 . -806) NIL) ((-323 . -803) NIL) ((-326 . -738) 118619) ((-323 . -738) T) ((-486 . -374) 118598) ((-370 . -360) 118577) ((-364 . -360) 118556) ((-356 . -360) 118535) ((-326 . -485) 118514) ((-1272 . -23) T) ((-1251 . -23) T) ((-730 . -1133) T) ((-726 . -132) T) ((-665 . -102) T) ((-489 . -729) 118479) ((-674 . -864) 118458) ((-45 . -292) 118408) ((-105 . -1121) T) ((-68 . -625) 118390) ((-250 . -864) 118369) ((-991 . -102) T) ((-878 . -102) T) ((-635 . -917) 118328) ((-1312 . -1121) T) ((-392 . -1121) T) ((-1261 . -234) 118315) ((-1237 . -1121) T) ((-82 . -1238) T) ((-1134 . -272) 118284) ((-1083 . -861) T) ((-118 . -917) NIL) ((-794 . -939) 118263) ((-725 . -861) T) ((-543 . -1121) T) ((-512 . -1121) T) ((-366 . -1242) T) ((-363 . -1242) T) ((-355 . -1242) T) ((-273 . -1242) 118242) ((-253 . -1242) 118221) ((-545 . -874) T) ((-1134 . -232) 118190) ((-1179 . -840) T) ((-1163 . -1077) 118174) ((-402 . -773) T) ((-706 . -1238) T) ((-703 . -1059) 118158) ((-366 . -568) T) ((-363 . -568) T) ((-355 . -568) T) ((-273 . -568) 118089) ((-253 . -568) 118020) ((-537 . -1104) T) ((-1163 . -111) 117999) ((-465 . -756) 117969) ((-880 . -1077) 117939) ((-829 . -38) 117881) ((-706 . -899) 117863) ((-706 . -901) 117845) ((-305 . -319) 117649) ((-1178 . -298) 117626) ((-929 . -1242) T) ((-1101 . -658) 117521) ((-1025 . -464) T) ((-682 . -423) 117505) ((-880 . -111) 117470) ((-933 . -464) T) ((-706 . -1059) 117415) ((-929 . -568) T) ((-545 . -625) 117397) ((-593 . -939) T) ((-499 . -1072) 117347) ((-486 . -1133) T) ((-530 . -939) T) ((-494 . -919) 117216) ((-65 . -625) 117198) ((-219 . -1072) 117148) ((-499 . -652) 117098) ((-370 . -658) 117035) ((-364 . -658) 116972) ((-356 . -658) 116909) ((-644 . -231) 116855) ((-219 . -652) 116805) ((-108 . -658) 116755) ((-486 . -23) T) ((-1141 . -806) T) ((-886 . -132) T) ((-1141 . -803) T) ((-1303 . -1305) 116734) ((-1141 . -738) T) ((-666 . -660) 116708) ((-304 . -625) 116449) ((-1163 . -628) 116367) 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. -111) 115516) ((-1195 . -994) 115485) ((-1194 . -994) 115447) ((-532 . -152) 115431) ((-1101 . -381) 115410) ((-362 . -625) 115392) ((-332 . -21) T) ((-365 . -1059) 115369) ((-332 . -25) T) ((-1188 . -994) 115338) ((-48 . -1238) T) ((-76 . -625) 115320) ((-1147 . -994) 115287) ((-711 . -317) T) ((-130 . -856) T) ((-929 . -374) T) ((-390 . -25) T) ((-390 . -21) T) ((-929 . -339) 115274) ((-86 . -625) 115256) ((-711 . -1043) T) ((-689 . -861) T) ((-400 . -1238) T) ((-1272 . -132) T) ((-1251 . -132) T) ((-920 . -1031) 115240) ((-848 . -21) T) ((-48 . -1059) 115183) ((-848 . -25) T) ((-839 . -25) T) ((-839 . -21) T) ((-1134 . -658) 114962) ((-1310 . -1079) T) ((-561 . -102) T) ((-1308 . -1079) T) ((-666 . -738) T) ((-1125 . -630) 114865) ((-1024 . -628) 114795) ((-1311 . -1077) 114779) ((-923 . -1238) T) ((-827 . -423) 114748) ((-103 . -120) 114732) ((-130 . -1121) T) ((-52 . -1121) T) ((-945 . -625) 114714) ((-885 . -1013) 114691) ((-835 . -102) T) ((-1311 . -111) 114670) ((-743 . -911) 114645) ((-665 . -38) 114615) ((-583 . -861) T) ((-366 . -1133) T) ((-363 . -1133) T) ((-355 . -1133) T) ((-273 . -1133) T) ((-253 . -1133) T) ((-1171 . -319) 114419) ((-1109 . -234) 114406) ((-635 . -317) 114385) ((-676 . -23) T) ((-536 . -1104) T) ((-321 . -1121) T) ((-494 . -272) 114354) ((-494 . -232) 114323) ((-153 . -1079) T) ((-366 . -23) T) ((-363 . -23) T) ((-355 . -23) T) ((-118 . -317) T) ((-273 . -23) T) ((-253 . -23) T) ((-1024 . -1070) T) ((-724 . -928) 114302) ((-1195 . -911) 114190) ((-1194 . -911) 114071) ((-1188 . -911) 113807) ((-1178 . -628) 113784) ((-1024 . -238) 113756) ((-1024 . -248) T) ((-1147 . -911) 113738) ((-118 . -1043) NIL) ((-929 . -1133) T) ((-1273 . -464) 113717) ((-1252 . -464) 113696) ((-535 . -625) 113628) ((-724 . -660) 113517) ((-419 . -1077) 113469) ((-516 . -625) 113451) ((-929 . -23) T) ((-499 . -319) NIL) ((-1311 . -628) 113407) ((-486 . -132) T) ((-219 . -319) NIL) ((-419 . -111) 113345) ((-827 . -1079) 113323) ((-749 . -1119) 113307) 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-1121) T) ((-1303 . -1302) 95426) ((-743 . -919) 95403) ((-713 . -807) T) ((-713 . -804) T) ((-1141 . -317) T) ((-390 . -148) T) ((-290 . -625) 95385) ((-289 . -625) 95367) ((-1251 . -1013) 95337) ((-48 . -939) T) ((-687 . -501) 95321) ((-258 . -1295) 95291) ((-257 . -1295) 95261) ((-1109 . -237) T) ((-1197 . -861) T) ((-1141 . -1043) T) ((-1067 . -34) T) ((-848 . -148) 95240) ((-848 . -146) 95219) ((-749 . -107) 95203) ((-624 . -133) T) ((-1199 . -1079) T) ((-494 . -1121) 94955) ((-1195 . -919) 94868) ((-1194 . -919) 94774) ((-1188 . -919) 94535) ((-885 . -464) T) ((-85 . -1238) T) ((-142 . -107) 94517) ((-1147 . -919) 94501) ((-724 . -388) 94485) ((-845 . -628) 94353) ((-1311 . -738) T) ((-1300 . -1079) T) ((-1280 . -102) T) ((-1141 . -557) T) ((-591 . -102) T) ((-130 . -502) 94335) ((-1273 . -102) T) ((-402 . -1077) 94319) ((-1193 . -968) 94288) ((-44 . -296) 94265) ((-130 . -625) 94232) ((-52 . -625) 94214) ((-1146 . -968) 94181) ((-665 . -423) 94165) ((-1252 . -102) T) ((-1179 . 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-146) 90299) ((-118 . -864) NIL) ((-496 . -501) 90283) ((-497 . -346) 90252) ((-524 . -1121) T) ((-1312 . -111) 90231) ((-1020 . -388) 90215) ((-425 . -102) T) ((-392 . -111) 90194) ((-1020 . -349) 90178) ((-288 . -1004) 90162) ((-287 . -1004) 90146) ((-1025 . -919) NIL) ((-1310 . -625) 90128) ((-1308 . -625) 90110) ((-110 . -526) NIL) ((-1193 . -1264) 90094) ((-868 . -866) 90078) ((-1199 . -1121) T) ((-103 . -1238) T) ((-971 . -968) 90039) ((-829 . -729) 89981) ((-1252 . -1173) NIL) ((-493 . -968) 89926) ((-1083 . -144) T) ((-60 . -102) 89876) ((-44 . -625) 89858) ((-78 . -625) 89840) ((-362 . -660) 89785) ((-1300 . -1121) T) ((-523 . -861) T) ((-299 . -296) 89764) ((-354 . -1133) T) ((-305 . -1121) T) ((-1020 . -917) 89723) ((-305 . -622) 89702) ((-1312 . -628) 89651) ((-1280 . -38) 89548) ((-1273 . -38) 89389) ((-1252 . -38) 89185) ((-499 . -1079) T) ((-392 . -628) 89169) ((-219 . -1079) T) ((-354 . -23) T) ((-153 . -625) 89151) ((-845 . -807) 89130) ((-845 . -804) 89109) ((-1237 . -628) 89090) ((-608 . -38) 89063) ((-607 . -38) 88960) ((-884 . -568) T) ((-225 . -132) T) ((-329 . -1023) 88926) ((-79 . -625) 88908) ((-724 . -317) 88887) ((-304 . -738) 88789) ((-836 . -102) T) ((-878 . -856) T) ((-304 . -485) 88768) ((-1303 . -102) T) ((-40 . -374) T) ((-886 . -148) 88747) ((-497 . -658) 88729) ((-886 . -146) 88708) ((-1179 . -501) 88690) ((-1312 . -1070) T) ((-494 . -526) 88623) ((-1167 . -1238) T) ((-983 . -625) 88605) ((-659 . -501) 88589) ((-644 . -501) 88520) ((-827 . -625) 88213) ((-48 . -27) T) ((-1199 . -729) 88110) ((-971 . -911) 88089) ((-665 . -1121) T) ((-875 . -874) T) ((-448 . -375) 88063) ((-743 . -658) 87973) ((-493 . -911) 87948) ((-1123 . -102) T) ((-991 . -1121) T) ((-878 . -1121) T) ((-828 . -319) 87935) ((-545 . -539) T) ((-545 . -588) T) ((-1308 . -393) 87907) ((-706 . -864) T) ((-1075 . -526) 87840) ((-1180 . -296) 87816) ((-245 . -272) 87785) ((-245 . -232) 87754) ((-258 . -1072) 87655) ((-257 . -1072) 87556) ((-1300 . -729) 87526) ((-1187 . -93) T) ((-1015 . -93) T) ((-829 . -174) 87505) ((-258 . -652) 87427) ((-257 . -652) 87349) ((-1235 . -502) 87326) ((-590 . -1238) T) ((-229 . -526) 87259) ((-633 . -807) 87238) ((-633 . -804) 87217) ((-1235 . -625) 87129) ((-224 . -1238) T) ((-687 . -625) 87061) ((-1195 . -658) 86971) ((-1178 . -1031) 86955) ((-962 . -102) 86885) ((-362 . -738) T) ((-875 . -625) 86867) ((-1194 . -658) 86749) ((-1188 . -658) 86586) ((-1147 . -658) 86496) ((-1252 . -412) 86448) ((-1134 . -501) 86432) ((-60 . -319) 86370) ((-341 . -102) T) ((-1232 . -21) T) ((-1232 . -25) T) ((-40 . -1133) T) ((-723 . -21) T) ((-639 . -625) 86352) ((-527 . -333) 86331) ((-723 . -25) T) ((-451 . -102) T) ((-108 . -296) NIL) ((-940 . -1133) T) ((-40 . -23) T) ((-783 . -1133) T) ((-576 . -1242) T) ((-507 . -1242) T) ((-1025 . -272) 86313) ((-329 . -625) 86295) ((-1025 . -232) 86277) ((-171 . -167) 86261) ((-592 . -568) T) ((-576 . -568) T) ((-507 . -568) T) ((-783 . -23) T) ((-1272 . -148) 86240) ((-1272 . -146) 86219) 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-651) 84448) ((-171 . -911) 84369) ((-924 . -922) 84353) ((-390 . -464) T) ((-499 . -1121) T) ((-962 . -319) 84291) ((-713 . -660) 84263) ((-561 . -856) T) ((-219 . -1121) T) ((-326 . -939) 84242) ((-323 . -939) T) ((-323 . -832) NIL) ((-402 . -732) T) ((-884 . -23) T) ((-117 . -660) 84229) ((-486 . -146) 84208) ((-430 . -423) 84192) ((-486 . -148) 84171) ((-110 . -501) 84153) ((-321 . -628) 84134) ((-2 . -625) 84116) ((-188 . -102) T) ((-1179 . -19) 84098) ((-1179 . -616) 84073) ((-670 . -21) T) ((-670 . -25) T) ((-605 . -1165) T) ((-1134 . -296) 84050) ((-347 . -25) T) ((-347 . -21) T) ((-904 . -1238) T) ((-900 . -1238) T) ((-1310 . -1077) 84034) ((-245 . -658) 83813) ((-507 . -374) T) ((-1308 . -1077) 83797) ((-1303 . -38) 83767) ((-1272 . -1223) 83733) ((-1272 . -1226) 83699) ((-1261 . -911) 83602) ((-1193 . -1072) 83425) ((-1163 . -1238) T) ((-1146 . -1072) 83268) ((-868 . -1072) 83252) ((-644 . -616) 83227) ((-1272 . -95) 83193) ((-1272 . -237) 83145) ((-1255 . -102) 83123) 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. -146) 79948) ((-355 . -148) 79927) ((-355 . -146) 79878) ((-273 . -146) 79857) ((-273 . -148) 79836) ((-253 . -148) 79815) ((-118 . -374) T) ((-253 . -146) 79794) ((-1179 . -626) NIL) ((-153 . -111) 79773) ((-1024 . -1059) 79661) ((-1178 . -1238) T) ((-706 . -1242) T) ((-811 . -1079) T) ((-711 . -1133) T) ((-1024 . -388) 79638) ((-518 . -1238) T) ((-514 . -1238) T) ((-929 . -146) T) ((-929 . -148) 79620) ((-884 . -132) T) ((-827 . -1077) 79541) ((-711 . -23) T) ((-706 . -568) T) ((-227 . -1072) 79506) ((-659 . -625) 79438) ((-659 . -626) 79399) ((-644 . -626) NIL) ((-644 . -625) 79381) ((-499 . -174) T) ((-227 . -652) 79346) ((-219 . -174) T) ((-225 . -21) T) ((-225 . -25) T) ((-486 . -1226) 79312) ((-486 . -1223) 79278) ((-283 . -625) 79260) ((-282 . -625) 79242) ((-281 . -625) 79224) ((-280 . -625) 79206) ((-279 . -625) 79188) ((-512 . -663) 79170) ((-278 . -625) 79152) ((-350 . -738) T) ((-277 . -625) 79134) ((-110 . -19) 79116) ((-176 . -738) T) ((-512 . -384) 79098) ((-214 . -625) 79080) ((-532 . -1170) 79064) ((-512 . -124) T) ((-110 . -616) 79039) ((-213 . -625) 79021) ((-486 . -35) 78987) ((-486 . -95) 78953) ((-211 . -625) 78935) ((-210 . -625) 78917) ((-209 . -625) 78899) ((-208 . -625) 78881) ((-205 . -625) 78863) ((-204 . -625) 78845) ((-203 . -625) 78827) ((-202 . -625) 78809) ((-201 . -625) 78791) ((-200 . -625) 78773) ((-199 . -625) 78755) ((-548 . -1124) 78707) ((-198 . -625) 78689) ((-197 . -625) 78671) ((-45 . -501) 78608) ((-196 . -625) 78590) ((-195 . -625) 78572) ((-153 . -628) 78541) ((-1136 . -102) T) ((-827 . -111) 78457) ((-656 . -102) 78387) ((-494 . -296) 78364) ((-1311 . -1059) 78348) ((-1134 . -625) 78041) ((-1122 . -1121) T) ((-1067 . -1238) T) ((-1193 . -319) 78028) ((-1083 . -1072) 78015) ((-1156 . -1121) T) ((-971 . -1072) 77858) ((-1146 . -319) 77845) ((-1117 . -1104) T) ((-635 . -1133) T) ((-1083 . -652) 77832) ((-1111 . -1104) T) ((-971 . -652) 77681) ((-1108 . -234) 77626) ((-493 . -1072) 77469) ((-1094 . -1104) T) ((-1087 . -1104) T) ((-1057 . -1104) T) ((-1040 . -1104) T) ((-118 . -1133) T) ((-493 . -652) 77318) ((-794 . -234) 77305) ((-831 . -102) T) ((-638 . -1104) T) ((-635 . -23) T) ((-1171 . -526) 77097) ((-495 . -1104) T) ((-982 . -1121) T) ((-398 . -102) T) ((-334 . -102) T) ((-220 . -1104) T) ((-855 . -1238) T) ((-153 . -1070) T) ((-743 . -423) 77081) ((-118 . -23) T) ((-1024 . -917) 77033) ((-747 . -1121) T) ((-727 . -1121) T) ((-1280 . -658) 76943) ((-1273 . -658) 76825) ((-465 . -1121) T) ((-419 . -1238) T) ((-326 . -442) 76809) ((-604 . -93) T) ((-1048 . -626) 76770) ((-270 . -1238) T) ((-1045 . -1242) T) ((-227 . -102) T) ((-1048 . -625) 76732) ((-828 . -272) 76716) ((-828 . -232) 76700) ((-827 . -628) 76498) ((-1252 . -658) 76335) ((-1045 . -568) T) ((-845 . -660) 76308) ((-365 . -1242) T) ((-488 . -625) 76270) ((-488 . -626) 76231) ((-475 . -626) 76192) ((-475 . -625) 76154) ((-608 . -658) 76113) ((-419 . -899) 76097) ((-329 . -1077) 75932) ((-419 . -901) 75857) ((-607 . -658) 75767) 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. -414) NIL) ((-118 . -237) NIL) ((-1195 . -628) 34107) ((-1141 . -673) T) ((-885 . -729) 34052) ((-258 . -501) 34036) ((-257 . -501) 34020) ((-1194 . -628) 33763) ((-1188 . -628) 33558) ((-724 . -651) 33506) ((-665 . -660) 33480) ((-1147 . -628) 33362) ((-305 . -34) T) ((-1141 . -113) T) ((-743 . -1070) T) ((-593 . -1295) 33349) ((-530 . -1295) 33326) ((-1261 . -1121) T) ((-1193 . -300) 33237) ((-1146 . -300) 33168) ((-1083 . -174) T) ((-299 . -1238) T) ((-869 . -1121) T) ((-971 . -174) 33079) ((-794 . -1264) 33063) ((-656 . -526) 32996) ((-77 . -625) 32978) ((-743 . -336) 32943) ((-1199 . -738) T) ((-583 . -1121) T) ((-493 . -174) 32854) ((-250 . -319) 32792) ((-1163 . -1133) T) ((-70 . -625) 32774) ((-1300 . -738) T) ((-1195 . -1070) T) ((-1194 . -1070) T) ((-1188 . -1070) T) ((-337 . -102) 32704) ((-1163 . -23) T) ((-2 . -1238) T) ((-1147 . -1070) T) ((-91 . -1142) 32688) ((-880 . -1133) T) ((-1195 . -238) 32647) ((-1194 . -248) 32626) ((-1194 . -238) 32578) ((-1188 . -238) 32465) 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. -238) 13209) ((-1141 . -237) T) ((-40 . -102) T) ((-929 . -1079) T) ((-706 . -911) NIL) ((-1202 . -102) T) ((-129 . -501) 13191) ((-1195 . -738) T) ((-1194 . -738) T) ((-1188 . -738) T) ((-1188 . -803) NIL) ((-1188 . -806) NIL) ((-973 . -102) T) ((-940 . -102) T) ((-884 . -1072) 13178) ((-1147 . -738) T) ((-783 . -102) T) ((-684 . -102) T) ((-884 . -652) 13165) ((-558 . -625) 13147) ((-486 . -1121) T) ((-350 . -1133) T) ((-176 . -1133) T) ((-329 . -939) 13126) ((-1272 . -729) 12967) ((-886 . -174) T) ((-1251 . -729) 12781) ((-855 . -21) 12733) ((-855 . -25) 12685) ((-250 . -1170) 12669) ((-127 . -526) 12602) ((-419 . -25) T) ((-419 . -21) T) ((-350 . -23) T) ((-171 . -626) 12368) ((-171 . -625) 12350) ((-176 . -23) T) ((-656 . -298) 12327) ((-532 . -34) T) ((-915 . -625) 12309) ((-89 . -1238) T) ((-853 . -625) 12291) ((-820 . -625) 12273) ((-781 . -625) 12255) ((-689 . -625) 12237) ((-245 . -660) 12070) ((-629 . -113) T) ((-1197 . -1121) T) ((-1193 . -1077) 11893) ((-216 . -1238) T) 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10413) ((-219 . -901) 10395) ((-619 . -25) T) ((-439 . -660) 10369) ((-1193 . -628) 10138) ((-499 . -1059) 10098) ((-886 . -526) 10010) ((-1146 . -628) 9802) ((-868 . -628) 9720) ((-219 . -1059) 9680) ((-245 . -34) T) ((-1021 . -1121) 9658) ((-592 . -1072) 9645) ((-576 . -1072) 9632) ((-507 . -1072) 9597) ((-1272 . -174) 9528) ((-1251 . -174) 9459) ((-592 . -652) 9446) ((-576 . -652) 9433) ((-507 . -652) 9398) ((-724 . -146) 9377) ((-724 . -148) 9356) ((-130 . -864) T) ((-713 . -132) T) ((-561 . -1238) T) ((-137 . -477) 9333) ((-1168 . -625) 9265) ((-670 . -668) 9249) ((-129 . -296) 9199) ((-117 . -132) T) ((-489 . -1242) T) ((-620 . -616) 9175) ((-487 . -616) 9154) ((-609 . -1121) T) ((-347 . -346) 9123) ((-597 . -1121) T) ((-548 . -1121) T) ((-489 . -568) T) ((-1193 . -1070) T) ((-1146 . -1070) T) ((-868 . -1070) T) ((-835 . -1238) T) ((-245 . -806) 9102) ((-245 . -805) 9081) ((-1193 . -336) 9058) ((-245 . -738) 9036) ((-977 . -19) 9020) ((-499 . -388) 9002) ((-499 . -349) 8984) 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-625) 190419) ((-363 . -625) 190401) ((-355 . -625) 190383) ((-273 . -626) 190131) ((-273 . -625) 190113) ((-253 . -625) 190095) ((-253 . -626) 189956) ((-139 . -93) T) ((-138 . -93) T) ((-134 . -93) T) ((-1162 . -625) 189938) ((-1141 . -652) 189925) ((-1141 . -1072) 189912) ((-831 . -738) T) ((-831 . -871) T) ((-614 . -298) 189889) ((-593 . -729) 189854) ((-491 . -626) NIL) ((-491 . -625) 189836) ((-530 . -729) 189781) ((-326 . -102) T) ((-323 . -102) T) ((-299 . -23) T) ((-153 . -132) T) ((-929 . -625) 189763) ((-929 . -626) 189745) ((-398 . -738) T) ((-886 . -1077) 189697) ((-886 . -111) 189635) ((-726 . -1070) T) ((-724 . -1264) 189619) ((-706 . -360) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-531 . -625) 189551) ((-390 . -807) T) ((-169 . -1238) T) ((-225 . -1121) T) ((-390 . -804) T) ((-59 . -626) 189512) ((-227 . -806) T) ((-227 . -803) T) ((-59 . -625) 189424) ((-227 . -738) T) ((-528 . -626) 189385) ((-528 . -625) 189297) ((-509 . -625) 189229) ((-508 . -626) 189190) ((-508 . -625) 189102) ((-1101 . -374) 189053) ((-40 . -423) 189030) ((-77 . -1238) T) ((-885 . -928) NIL) ((-370 . -339) 189014) ((-370 . -374) T) ((-364 . -339) 188998) ((-364 . -374) T) ((-356 . -339) 188982) ((-356 . -374) T) ((-326 . -294) 188961) ((-108 . -374) T) ((-70 . -1238) T) ((-1252 . -349) 188913) ((-885 . -660) 188858) ((-1252 . -388) 188810) ((-983 . -132) 188665) ((-827 . -132) 188536) ((-45 . -864) NIL) ((-977 . -663) 188520) ((-1108 . -174) 188431) ((-977 . -384) 188415) ((-1083 . -806) T) ((-1083 . -803) T) ((-886 . -628) 188313) ((-794 . -174) 188204) ((-792 . -174) 188115) ((-828 . -47) 188077) ((-1083 . -738) T) ((-337 . -501) 188061) ((-971 . -738) T) ((-1301 . -319) 187999) ((-1280 . -917) 187912) ((-466 . -174) 187823) ((-250 . -296) 187775) ((-1273 . -917) 187681) ((-1272 . -1077) 187516) ((-1252 . -917) 187349) ((-493 . -738) T) ((-1251 . -1077) 187157) ((-1232 . -300) 187136) ((-1207 . -1238) T) ((-1204 . -379) T) ((-1203 . -379) T) ((-1167 . -152) 187120) ((-1141 . -102) T) ((-1139 . -1121) T) ((-1101 . -23) T) ((-1101 . -1133) T) ((-1096 . -102) T) ((-1078 . -625) 187087) ((-1024 . -421) 187059) ((-946 . -974) T) ((-749 . -319) 186997) ((-75 . -1238) T) ((-676 . -393) 186969) ((-171 . -928) 186922) ((-30 . -974) T) ((-112 . -856) T) ((-1 . -625) 186904) ((-1020 . -911) 186825) ((-129 . -663) 186807) ((-50 . -632) 186791) ((-706 . -658) 186726) ((-607 . -917) 186639) ((-450 . -102) T) ((-129 . -384) 186621) ((-142 . -319) NIL) ((-886 . -1070) T) ((-845 . -861) 186600) ((-81 . -1238) T) ((-723 . -300) T) ((-40 . -1079) T) ((-593 . -174) T) ((-530 . -174) T) ((-523 . -625) 186582) ((-171 . -660) 186456) ((-519 . -625) 186438) ((-362 . -148) 186420) ((-362 . -146) T) ((-370 . -1133) T) ((-364 . -1133) T) ((-356 . -1133) T) ((-1025 . -317) T) ((-933 . -317) T) ((-886 . -248) T) ((-108 . -1133) T) ((-886 . -238) 186399) ((-1272 . -111) 186220) ((-1251 . -111) 186009) ((-250 . -1276) 185993) ((-576 . -860) T) ((-370 . -23) T) 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. -738) T) ((-118 . -860) NIL) ((-528 . -298) 182729) ((-337 . -616) 182706) ((-508 . -298) 182683) ((-466 . -300) 182614) ((-1056 . -319) 182465) ((-890 . -502) 182446) ((-890 . -625) 182412) ((-693 . -502) 182393) ((-583 . -738) T) ((-688 . -502) 182374) ((-693 . -625) 182324) ((-688 . -625) 182290) ((-674 . -625) 182272) ((-490 . -502) 182253) ((-490 . -625) 182219) ((-250 . -626) 182180) ((-250 . -502) 182157) ((-139 . -502) 182138) ((-138 . -502) 182119) ((-134 . -502) 182100) ((-250 . -625) 181992) ((-215 . -102) T) ((-139 . -625) 181958) ((-138 . -625) 181924) ((-134 . -625) 181890) ((-1168 . -34) T) ((-962 . -1238) T) ((-354 . -729) 181835) ((-682 . -25) T) ((-682 . -21) T) ((-1197 . -628) 181816) ((-341 . -1238) T) ((-486 . -1070) T) ((-647 . -429) 181781) ((-619 . -429) 181746) ((-1141 . -1173) T) ((-1273 . -317) 181725) ((-724 . -1072) 181548) ((-593 . -300) T) ((-530 . -300) T) ((-1252 . -317) 181527) ((-486 . -238) 181479) ((-486 . -248) 181458) ((-451 . -1238) T) ((-724 . -652) 181287) ((-1252 . -1043) NIL) ((-1101 . -132) T) ((-886 . -807) 181266) ((-145 . -102) T) ((-40 . -1121) T) ((-886 . -804) 181245) ((-656 . -1031) 181229) ((-592 . -1079) T) ((-576 . -1079) T) ((-507 . -1079) T) ((-419 . -464) T) ((-370 . -132) T) ((-326 . -412) 181213) ((-323 . -412) 181174) ((-364 . -132) T) ((-356 . -132) T) ((-1202 . -1121) T) ((-1141 . -38) 181161) ((-1115 . -625) 181128) ((-108 . -132) T) ((-973 . -1121) T) ((-940 . -1121) T) ((-783 . -1121) T) ((-684 . -1121) T) ((-713 . -148) T) ((-117 . -148) T) ((-1310 . -21) T) ((-1310 . -25) T) ((-1308 . -21) T) ((-1308 . -25) T) ((-676 . -1077) 181112) ((-543 . -861) T) ((-512 . -861) T) ((-376 . -1238) T) ((-366 . -1077) 181064) ((-363 . -1077) 181016) ((-355 . -1077) 180968) ((-258 . -1238) T) ((-257 . -1238) T) ((-273 . -1077) 180811) ((-253 . -1077) 180654) ((-676 . -111) 180633) ((-829 . -1242) 180612) ((-559 . -856) T) ((-326 . -919) 180578) ((-366 . -111) 180516) ((-363 . -111) 180454) ((-355 . -111) 180392) ((-273 . -111) 180221) ((-253 . -111) 180050) ((-323 . -919) NIL) ((-635 . -423) 180034) ((-44 . -21) T) ((-44 . -25) T) ((-924 . -864) 179985) ((-827 . -651) 179891) ((-829 . -568) 179870) ((-499 . -864) T) ((-258 . -1059) 179697) ((-257 . -1059) 179524) ((-127 . -120) 179508) ((-219 . -864) T) ((-929 . -1077) 179473) ((-724 . -102) T) ((-711 . -1079) T) ((-609 . -628) 179454) ((-597 . -628) 179435) ((-548 . -630) 179338) ((-354 . -174) T) ((-153 . -21) T) ((-153 . -25) T) ((-88 . -625) 179320) ((-929 . -111) 179276) ((-40 . -729) 179221) ((-884 . -1121) T) ((-676 . -628) 179198) ((-657 . -628) 179179) ((-366 . -628) 179116) ((-363 . -628) 179053) ((-355 . -628) 178990) ((-559 . -1121) T) ((-337 . -626) 178951) ((-337 . -625) 178863) ((-273 . -628) 178616) ((-253 . -628) 178401) ((-188 . -1238) T) ((-1251 . -804) 178354) ((-1251 . -807) 178307) ((-258 . -388) 178276) ((-257 . -388) 178245) ((-561 . -864) T) ((-666 . -38) 178215) ((-620 . -34) T) ((-494 . -1133) 178193) ((-487 . -34) T) ((-1134 . -132) 178064) ((-983 . -25) 177875) ((-929 . -628) 177825) ((-888 . -625) 177807) ((-983 . -21) 177762) ((-827 . -25) 177595) ((-827 . -21) 177506) ((-1244 . -379) T) ((-635 . -1079) T) ((-1199 . -568) 177485) ((-1193 . -47) 177462) ((-366 . -1070) T) ((-363 . -1070) T) ((-494 . -23) 177314) ((-355 . -1070) T) ((-273 . -1070) T) ((-253 . -1070) T) ((-1146 . -47) 177286) ((-118 . -1079) T) ((-1055 . -660) 177260) ((-977 . -34) T) ((-366 . -238) 177239) ((-366 . -248) T) ((-363 . -238) 177218) ((-363 . -248) T) ((-355 . -238) 177197) ((-355 . -248) T) ((-273 . -336) 177169) ((-253 . -336) 177126) ((-273 . -238) 177105) ((-1178 . -152) 177089) ((-258 . -917) 177021) ((-257 . -917) 176953) ((-1163 . -911) 176874) ((-1103 . -861) T) ((-1255 . -1238) 176852) ((-426 . -1133) T) ((-1075 . -23) T) ((-1045 . -860) T) ((-929 . -1070) T) ((-332 . -660) 176834) ((-713 . -237) T) ((-682 . -234) 176779) ((-1232 . -1023) 176745) ((-1194 . -939) 176724) ((-1188 . -939) 176703) ((-1188 . -832) NIL) ((-1020 . -1072) 176599) ((-986 . -1238) T) ((-929 . -248) T) ((-829 . -374) 176578) ((-396 . -23) T) ((-128 . -1121) 176556) ((-122 . -1121) 176534) ((-929 . -238) T) ((-129 . -34) T) ((-390 . -660) 176499) ((-1020 . -652) 176447) ((-884 . -729) 176434) ((-1317 . -658) 176406) ((-1067 . -152) 176371) ((-1014 . -1238) T) ((-876 . -1238) T) ((-40 . -174) T) ((-706 . -423) 176353) ((-724 . -319) 176340) ((-848 . -660) 176300) ((-839 . -660) 176274) ((-329 . -25) T) ((-329 . -21) T) ((-670 . -296) 176253) ((-592 . -1121) T) ((-576 . -1121) T) ((-507 . -1121) T) ((-1193 . -1238) T) ((-250 . -298) 176230) ((-1146 . -1238) T) ((-868 . -1238) T) ((-323 . -272) 176191) ((-323 . -232) 176152) ((-1243 . -864) T) ((-1193 . -901) NIL) ((-55 . -1121) T) ((-1146 . -901) 176011) ((-130 . -861) T) ((-1193 . -1059) 175891) ((-1146 . -1059) 175774) ((-185 . -625) 175756) ((-868 . -1059) 175652) ((-794 . -296) 175579) ((-829 . -1133) T) ((-1055 . -738) T) ((-1067 . -997) 175508) ((-614 . -663) 175492) ((-1024 . -911) 175399) ((-1020 . -102) T) ((-829 . -23) T) ((-724 . -1173) 175377) ((-706 . -1079) T) ((-614 . -384) 175361) ((-362 . -464) T) ((-354 . -300) T) ((-1289 . -1121) T) ((-254 . -1121) T) ((-411 . -102) T) ((-299 . -21) T) ((-299 . -25) T) ((-372 . -738) T) ((-722 . -1121) T) ((-711 . -1121) T) ((-372 . -485) T) ((-1232 . -625) 175343) ((-1193 . -388) 175327) ((-1146 . -388) 175311) ((-1045 . -423) 175273) ((-142 . -231) 175255) ((-390 . -806) T) ((-390 . -803) T) ((-884 . -174) T) ((-390 . -738) T) ((-723 . -625) 175237) ((-724 . -38) 175066) ((-1288 . -1286) 175050) ((-362 . -414) T) ((-1288 . -1121) 175000) ((-1211 . -1121) T) ((-592 . -729) 174987) ((-576 . -729) 174974) ((-507 . -729) 174939) ((-1274 . -658) 174829) ((-326 . -641) 174808) ((-848 . -738) T) ((-839 . -738) T) ((-1136 . -1238) T) ((-656 . -1238) T) ((-1101 . -651) 174756) ((-1193 . -917) 174699) ((-1146 . -917) 174683) ((-827 . -234) 174574) ((-674 . -1077) 174558) ((-108 . -651) 174540) ((-494 . -132) 174411) ((-1199 . -1133) T) ((-831 . -1238) T) ((-971 . -47) 174380) ((-635 . -1121) T) ((-674 . -111) 174359) ((-503 . -625) 174325) ((-337 . -298) 174302) ((-398 . -1238) T) ((-334 . -1238) T) ((-493 . -47) 174259) ((-1199 . -23) T) ((-118 . -1121) T) ((-103 . -102) 174209) ((-1300 . -1133) T) ((-560 . -861) T) ((-227 . -1238) T) ((-1075 . -132) T) ((-1045 . -1079) T) ((-1300 . -23) T) ((-831 . -1059) 174193) ((-1218 . -625) 174175) ((-1024 . -736) 174147) ((-1141 . -840) T) ((-711 . -729) 174112) ((-598 . -625) 174094) ((-398 . -1059) 174078) ((-365 . -1079) T) ((-396 . -132) T) ((-334 . -1059) 174062) ((-1126 . -1121) T) ((-1101 . -21) T) ((-1101 . -25) T) ((-227 . -901) 174044) ((-1025 . -939) T) ((-91 . -34) T) ((-1025 . -832) T) ((-933 . -939) T) ((-1020 . -319) 174009) ((-890 . -628) 173990) ((-499 . -1242) T) ((-726 . -660) 173950) ((-693 . -628) 173931) ((-688 . -628) 173912) ((-219 . -1242) T) ((-419 . -911) 173833) ((-227 . -1059) 173793) ((-40 . -300) T) ((-499 . -568) T) ((-490 . -628) 173774) ((-370 . -25) T) ((-326 . -658) 173429) ((-323 . -658) 173343) ((-370 . -21) T) ((-364 . -25) T) ((-364 . -21) T) ((-219 . -568) T) ((-356 . -25) T) ((-356 . -21) T) ((-329 . -234) 173289) ((-250 . -628) 173266) ((-139 . -628) 173247) ((-138 . -628) 173228) ((-134 . -628) 173209) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1079) T) ((-592 . -174) T) ((-576 . -174) T) ((-507 . -174) T) ((-1083 . -1238) T) ((-971 . -1238) T) ((-725 . -1238) T) ((-670 . -625) 173191) ((-493 . -1238) T) ((-749 . -748) 173175) ((-347 . -625) 173157) ((-68 . -394) T) ((-68 . -407) T) ((-1123 . -107) 173141) ((-1083 . -901) 173123) ((-971 . -901) 173048) ((-665 . -1133) T) ((-635 . -729) 173035) ((-493 . -901) NIL) ((-1167 . -102) T) ((-1115 . -630) 173019) ((-1083 . -1059) 173001) ((-97 . -625) 172983) ((-489 . -148) T) ((-971 . -1059) 172863) ((-118 . -729) 172808) ((-724 . -919) 172715) ((-665 . -23) T) ((-493 . -1059) 172591) ((-1108 . -626) NIL) ((-1108 . -625) 172573) ((-794 . -626) NIL) ((-794 . -625) 172534) ((-792 . -626) 172168) ((-792 . -625) 172082) ((-1134 . -651) 171988) ((-811 . -864) 171967) ((-473 . -625) 171949) ((-466 . -625) 171931) ((-466 . -626) 171792) ((-1056 . -231) 171738) ((-886 . -928) 171717) ((-127 . -34) T) ((-829 . -132) T) ((-661 . -625) 171699) ((-590 . -102) T) ((-366 . -1307) 171683) ((-363 . -1307) 171667) ((-355 . -1307) 171651) ((-122 . -526) 171584) ((-128 . -526) 171517) ((-523 . -804) T) ((-523 . -807) T) ((-522 . -806) T) ((-103 . -319) 171455) ((-224 . -102) 171405) ((-711 . -174) T) ((-706 . -1121) T) ((-886 . -660) 171321) ((-65 . -395) T) ((-284 . -625) 171303) ((-65 . -407) T) ((-971 . -388) 171287) ((-884 . -300) T) ((-50 . -625) 171269) ((-1020 . -38) 171217) ((-1141 . -658) 171189) ((-593 . -625) 171171) ((-493 . -388) 171155) ((-593 . -626) 171137) ((-530 . -625) 171119) ((-929 . -1307) 171106) ((-885 . -1238) T) ((-713 . -464) T) ((-507 . -526) 171072) ((-1299 . -1238) T) ((-1298 . -1238) T) ((-499 . -374) T) ((-366 . -379) 171051) ((-363 . -379) 171030) ((-355 . -379) 171009) ((-726 . -738) T) ((-219 . -374) T) ((-117 . -464) T) ((-1311 . -1302) 170993) ((-885 . -899) 170970) ((-885 . -901) NIL) ((-983 . -861) 170869) ((-827 . -861) 170820) ((-1245 . -102) T) ((-666 . -668) 170804) ((-1224 . -34) T) ((-173 . -625) 170786) ((-1134 . -25) 170619) ((-1134 . -21) 170530) ((-885 . -1059) 170507) ((-971 . -917) 170488) ((-1261 . -47) 170465) ((-929 . -379) T) ((-605 . -864) T) ((-59 . -663) 170449) ((-528 . -663) 170433) ((-493 . -917) 170410) ((-71 . -453) T) ((-71 . -407) T) ((-508 . -663) 170394) ((-59 . -384) 170378) ((-635 . -174) T) ((-528 . -384) 170362) ((-508 . -384) 170346) ((-558 . -1238) T) ((-839 . -720) 170330) ((-1193 . -317) 170309) ((-1199 . -132) T) ((-1163 . -1072) 170293) ((-118 . -174) T) ((-1163 . -652) 170225) ((-1167 . -319) 170163) ((-171 . -1238) T) ((-1300 . -132) T) ((-1273 . -939) 170142) ((-1252 . -939) 170121) ((-1252 . -832) NIL) ((-880 . -1072) 170091) ((-647 . -756) 170075) ((-619 . -756) 170059) ((-1251 . -928) 170012) ((-1045 . -1121) T) ((-924 . -1133) T) ((-880 . -652) 169982) ((-706 . -729) 169932) ((-915 . -1238) T) ((-885 . -388) 169909) ((-885 . -349) 169886) ((-853 . -1238) T) ((-820 . -1238) T) ((-171 . -899) 169870) ((-171 . -901) 169795) ((-781 . -1238) T) ((-689 . -1238) T) ((-1288 . -526) 169728) ((-1272 . -660) 169625) ((-1101 . -234) 169498) ((-499 . -1133) T) ((-365 . -1121) T) ((-219 . -1133) T) ((-76 . -453) T) ((-76 . -407) T) ((-171 . -1059) 169394) ((-304 . -911) 169351) ((-329 . -861) T) ((-1251 . -660) 169159) ((-886 . -806) 169138) ((-886 . -803) 169117) ((-886 . -738) T) ((-499 . -23) T) ((-370 . -234) 169090) ((-364 . -234) 169063) ((-356 . -234) 169036) ((-176 . -464) T) ((-86 . -453) T) ((-224 . -319) 168974) ((-86 . -407) T) ((-225 . -625) 168956) ((-108 . -234) 168943) ((-219 . -23) T) ((-1312 . -1305) 168922) ((-689 . -1059) 168906) ((-592 . -300) T) ((-576 . -300) T) ((-507 . -300) T) ((-1261 . -1238) T) ((-137 . -482) 168861) ((-869 . -1238) T) ((-666 . -658) 168820) ((-48 . -1121) T) ((-724 . -272) 168804) ((-724 . -232) 168788) ((-885 . -917) NIL) ((-583 . -1238) T) ((-1261 . -901) NIL) ((-904 . -102) T) ((-900 . -102) T) ((-400 . -1121) T) ((-171 . -388) 168772) ((-171 . -349) 168756) ((-1261 . -1059) 168636) ((-869 . -1059) 168532) ((-1163 . -102) T) ((-1020 . -919) 168455) ((-674 . -804) 168434) ((-665 . -132) T) ((-674 . -807) 168413) ((-118 . -526) 168321) ((-583 . -1059) 168303) ((-304 . -1295) 168273) ((-1188 . -864) NIL) ((-880 . -102) T) ((-982 . -568) 168252) ((-1232 . -1077) 168135) ((-1024 . -1072) 168080) ((-494 . -651) 167986) ((-923 . -1121) T) ((-1045 . -729) 167923) ((-723 . -1077) 167888) ((-1024 . -652) 167833) ((-629 . -102) T) ((-614 . -34) T) ((-1168 . -1238) T) ((-1232 . -111) 167702) ((-486 . -660) 167599) ((-365 . -729) 167544) ((-171 . -917) 167503) ((-711 . -300) T) ((-706 . -174) T) ((-723 . -111) 167459) ((-1317 . -1079) T) ((-1261 . -388) 167443) ((-430 . -1242) 167421) ((-1139 . -625) 167403) ((-323 . -860) NIL) ((-430 . -568) T) ((-227 . -317) T) ((-1251 . -803) 167356) ((-1251 . -806) 167309) ((-1272 . -738) T) ((-1251 . -738) T) ((-48 . -729) 167274) ((-227 . -1043) T) ((-1274 . -423) 167240) ((-1261 . -917) 167183) ((-362 . -1295) 167160) ((-1232 . -628) 167042) ((-730 . -738) T) ((-343 . -625) 167024) ((-532 . -864) 167003) ((-1134 . -234) 166894) ((-112 . -625) 166876) ((-112 . -626) 166858) ((-730 . -485) T) ((-723 . -628) 166808) ((-1311 . -1072) 166792) ((-494 . -25) 166625) ((-128 . -501) 166609) ((-122 . -501) 166593) ((-494 . -21) 166504) ((-1311 . -652) 166474) ((-635 . -300) T) ((-598 . -1077) 166449) ((-449 . -1121) T) ((-1083 . -317) T) ((-118 . -300) T) ((-1125 . -102) T) ((-1024 . -102) T) ((-598 . -111) 166417) ((-1232 . -1070) T) ((-1163 . -319) 166355) ((-1083 . -1043) T) ((-1075 . -25) T) ((-66 . -1238) T) ((-907 . -1238) T) ((-1075 . -21) T) ((-723 . -1070) T) ((-396 . -21) T) ((-396 . -25) T) 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. -625) 165231) ((-1108 . -111) 165060) ((-1067 . -102) T) ((-487 . -1238) T) ((-473 . -1077) 165031) ((-466 . -1077) 164874) ((-676 . -660) 164858) ((-885 . -317) T) ((-794 . -111) 164667) ((-792 . -111) 164496) ((-366 . -660) 164448) ((-363 . -660) 164400) ((-355 . -660) 164352) ((-273 . -660) 164241) ((-253 . -660) 164130) ((-1179 . -861) T) ((-1109 . -1059) 164114) ((-1097 . -1059) 164091) ((-1025 . -864) T) ((-1021 . -34) T) ((-473 . -111) 164052) ((-466 . -111) 163881) ((-992 . -864) T) ((-985 . -625) 163863) ((-982 . -1133) T) ((-977 . -1238) T) ((-127 . -1031) 163847) ((-862 . -1238) T) ((-885 . -1043) NIL) ((-747 . -1133) T) ((-727 . -1133) T) ((-670 . -628) 163765) ((-1288 . -501) 163749) ((-1205 . -1238) T) ((-1204 . -1238) T) ((-1163 . -38) 163709) ((-982 . -23) T) ((-929 . -660) 163674) ((-879 . -1121) T) ((-855 . -102) T) ((-829 . -21) T) ((-647 . -1072) 163658) ((-619 . -1072) 163642) ((-829 . -25) T) ((-747 . -23) T) ((-727 . -23) T) ((-647 . -652) 163626) ((-110 . 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-464) T) ((-1055 . -1238) T) ((-1108 . -1070) T) ((-50 . -628) 161771) ((-794 . -1070) T) ((-792 . -1070) T) ((-659 . -240) 161755) ((-644 . -240) 161701) ((-1199 . -21) T) ((-593 . -628) 161651) ((-530 . -628) 161581) ((-494 . -234) 161472) ((-1199 . -25) T) ((-1108 . -336) 161433) ((-466 . -1070) T) ((-1108 . -238) 161412) ((-794 . -336) 161389) ((-794 . -238) T) ((-792 . -336) 161361) ((-743 . -1242) 161340) ((-531 . -34) T) ((-337 . -663) 161324) ((-528 . -34) T) ((-59 . -34) T) ((-509 . -34) T) ((-508 . -34) T) ((-466 . -336) 161303) ((-337 . -384) 161287) ((-372 . -1238) T) ((-332 . -1238) T) ((-1024 . -1173) NIL) ((-743 . -568) 161218) ((-647 . -102) T) ((-619 . -102) T) ((-366 . -738) T) ((-363 . -738) T) ((-355 . -738) T) ((-273 . -738) T) ((-253 . -738) T) ((-390 . -1238) T) ((-1300 . -21) T) ((-1067 . -319) 161126) ((-1300 . -25) T) ((-920 . -1121) 161104) ((-830 . -234) 161091) ((-50 . -1070) T) ((-1195 . -568) 161070) ((-1194 . -1242) 161049) ((-1194 . -568) 161000) 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153577) ((-1024 . -658) 153507) ((-982 . -21) T) ((-982 . -25) T) ((-747 . -21) T) ((-747 . -25) T) ((-727 . -21) T) ((-727 . -25) T) ((-723 . -660) 153472) ((-465 . -21) T) ((-465 . -25) T) ((-350 . -102) T) ((-176 . -102) T) ((-1020 . -1079) T) ((-884 . -1070) T) ((-786 . -102) T) ((-1273 . -374) 153451) ((-1272 . -917) 153357) ((-1252 . -374) 153336) ((-1251 . -917) 153187) ((-1197 . -1238) T) ((-1045 . -625) 153169) ((-419 . -840) 153122) ((-1195 . -505) 153088) ((-171 . -939) 153019) ((-1194 . -505) 152985) ((-1188 . -505) 152951) ((-724 . -1121) T) ((-1147 . -505) 152917) ((-592 . -1077) 152904) ((-576 . -1077) 152891) ((-507 . -1077) 152856) ((-326 . -300) 152835) ((-323 . -300) T) ((-365 . -625) 152817) ((-430 . -25) T) ((-430 . -21) T) ((-99 . -296) 152796) ((-592 . -111) 152781) ((-576 . -111) 152766) ((-507 . -111) 152722) ((-1197 . -901) 152689) ((-920 . -501) 152673) ((-48 . -625) 152655) ((-48 . -626) 152600) ((-245 . -132) 152471) ((-1311 . -658) 152430) ((-1261 . -939) 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. -651) 149147) ((-1020 . -1121) T) ((-724 . -174) 149038) ((-635 . -628) 148933) ((-499 . -1013) 148915) ((-430 . -234) 148860) ((-273 . -388) 148844) ((-253 . -388) 148828) ((-411 . -1121) T) ((-1047 . -102) 148806) ((-350 . -38) 148790) ((-219 . -1013) 148772) ((-118 . -628) 148702) ((-176 . -38) 148634) ((-1272 . -317) 148613) ((-1251 . -317) 148592) ((-670 . -738) T) ((-99 . -625) 148574) ((-489 . -1072) 148539) ((-1188 . -651) 148491) ((-489 . -652) 148456) ((-656 . -864) 148435) ((-497 . -25) T) ((-497 . -21) T) ((-1251 . -1043) 148387) ((-1078 . -1238) T) ((-1 . -1238) T) ((-635 . -1070) T) ((-390 . -416) T) ((-402 . -102) T) ((-1126 . -630) 148302) ((-273 . -917) 148248) ((-253 . -917) 148225) ((-118 . -1070) T) ((-1108 . -738) T) ((-828 . -1133) T) ((-831 . -864) T) ((-635 . -238) 148204) ((-633 . -102) T) ((-523 . -1238) T) ((-519 . -1238) T) ((-794 . -738) T) ((-792 . -738) T) ((-1243 . -861) T) ((-425 . -1133) T) ((-118 . -248) T) ((-40 . -379) NIL) ((-118 . -238) NIL) 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131060) ((-1134 . -1072) 130961) ((-908 . -628) 130938) ((-1134 . -652) 130860) ((-1187 . -102) T) ((-1015 . -102) T) ((-1014 . -21) T) ((-128 . -1031) 130844) ((-122 . -1031) 130828) ((-1014 . -25) T) ((-920 . -120) 130812) ((-1179 . -102) T) ((-1261 . -132) T) ((-1251 . -864) 130711) ((-1193 . -25) T) ((-1193 . -21) T) ((-1180 . -319) 130506) ((-354 . -1238) T) ((-1146 . -25) T) ((-869 . -132) T) ((-406 . -1238) T) ((-1146 . -21) T) ((-868 . -25) T) ((-868 . -21) T) ((-794 . -317) 130485) ((-1178 . -501) 130469) ((-1171 . -152) 130419) ((-1167 . -625) 130381) ((-659 . -102) 130331) ((-644 . -102) T) ((-1167 . -626) 130292) ((-583 . -132) T) ((-633 . -860) 130271) ((-1045 . -803) T) ((-1045 . -806) T) ((-1045 . -738) T) ((-827 . -919) 130140) ((-724 . -1077) 129963) ((-614 . -864) 129942) ((-496 . -319) 129880) ((-465 . -429) 129850) ((-362 . -174) T) ((-299 . -38) 129837) ((-258 . -234) 129728) ((-257 . -234) 129619) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . 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126267) ((-1193 . -234) 126254) ((-1156 . -1104) T) ((-1083 . -21) T) ((-1083 . -25) T) ((-1075 . -1072) 126238) ((-827 . -272) 126207) ((-827 . -232) 126176) ((-971 . -25) T) ((-971 . -21) T) ((-1141 . -379) T) ((-1075 . -652) 126118) ((-633 . -1079) T) ((-1048 . -319) 126056) ((-904 . -625) 126038) ((-682 . -658) 125997) ((-493 . -25) T) ((-493 . -21) T) ((-396 . -1072) 125981) ((-900 . -625) 125963) ((-884 . -1238) T) ((-535 . -526) 125896) ((-258 . -861) 125847) ((-257 . -861) 125798) ((-396 . -652) 125768) ((-885 . -651) 125745) ((-488 . -319) 125683) ((-559 . -1238) T) ((-475 . -319) 125621) ((-362 . -300) T) ((-1178 . -1276) 125605) ((-1163 . -625) 125567) ((-1163 . -626) 125528) ((-1161 . -102) T) ((-1020 . -1077) 125424) ((-40 . -917) 125376) ((-1178 . -616) 125353) ((-1317 . -660) 125340) ((-1084 . -152) 125286) ((-499 . -911) NIL) ((-880 . -502) 125263) ((-1020 . -111) 125145) ((-886 . -1242) T) ((-219 . -911) NIL) ((-350 . -729) 125129) ((-880 . -625) 125091) ((-176 . -729) 125023) ((-886 . -568) T) ((-419 . -296) 124981) ((-245 . -237) 124878) ((-108 . -412) 124860) ((-84 . -395) T) ((-84 . -407) T) ((-713 . -174) T) ((-629 . -625) 124842) ((-99 . -738) T) ((-494 . -102) 124574) ((-99 . -485) T) ((-117 . -174) T) ((-1310 . -658) 124533) ((-1308 . -658) 124492) ((-171 . -651) 124440) ((-1101 . -919) 124311) ((-1075 . -102) T) ((-1020 . -628) 124201) ((-885 . -25) T) ((-827 . -243) 124180) ((-885 . -21) T) ((-830 . -102) T) ((-44 . -658) 124123) ((-1025 . -237) T) ((-426 . -102) T) ((-396 . -102) T) ((-110 . -319) NIL) ((-229 . -102) 124073) ((-128 . -1238) T) ((-122 . -1238) T) ((-108 . -919) NIL) ((-829 . -1072) 124024) ((-59 . -864) 124003) ((-829 . -652) 123945) ((-528 . -864) 123924) ((-508 . -864) 123903) ((-1055 . -132) T) ((-682 . -378) 123887) ((-153 . -658) 123846) ((-1317 . -738) T) ((-647 . -296) 123804) ((-619 . -296) 123762) ((-1280 . -146) 123741) ((-1261 . -651) 123689) ((-1020 . -1070) T) ((-1125 . -625) 123671) ((-1024 . -625) 123653) 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. -1079) T) ((-390 . -1081) T) ((-1047 . -1121) 122612) ((-55 . -1059) 122594) ((-920 . -34) T) ((-494 . -319) 122532) ((-604 . -102) T) ((-1178 . -626) 122493) ((-1178 . -625) 122425) ((-1199 . -1072) 122308) ((-45 . -102) T) ((-829 . -102) T) ((-1199 . -652) 122205) ((-1289 . -1238) T) ((-1261 . -25) T) ((-1261 . -21) T) ((-1083 . -234) 122192) ((-869 . -25) T) ((-523 . -864) T) ((-254 . -1238) T) ((-44 . -378) 122176) ((-869 . -21) T) ((-743 . -464) 122127) ((-1311 . -625) 122109) ((-722 . -1238) T) ((-711 . -1238) T) ((-1300 . -1072) 122079) ((-1075 . -319) 122017) ((-683 . -1104) T) ((-618 . -1104) T) ((-402 . -1121) T) ((-583 . -25) T) ((-583 . -21) T) ((-182 . -1104) T) ((-162 . -1104) T) ((-157 . -1104) T) ((-155 . -1104) T) ((-1300 . -652) 121987) ((-633 . -1121) T) ((-711 . -901) 121969) ((-1288 . -1238) T) ((-229 . -319) 121907) ((-145 . -379) T) ((-1211 . -1238) T) ((-1067 . -626) 121849) ((-1067 . -625) 121792) ((-323 . -928) NIL) ((-1246 . -856) T) ((-1134 . -919) 121661) 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. -237) 120322) ((-656 . -861) 120301) ((-1273 . -237) 120253) ((-1252 . -237) 120076) ((-305 . -102) T) ((-724 . -379) 120055) ((-118 . -1059) 120032) ((-402 . -729) 120016) ((-607 . -237) 119975) ((-633 . -729) 119959) ((-1126 . -1238) T) ((-45 . -319) 119763) ((-828 . -146) 119742) ((-828 . -148) 119721) ((-299 . -658) 119693) ((-1311 . -393) 119672) ((-831 . -861) T) ((-1290 . -1121) T) ((-1180 . -231) 119619) ((-398 . -861) 119598) ((-1280 . -35) 119564) ((-1280 . -1226) 119530) ((-1280 . -1223) 119496) ((-1273 . -1223) 119462) ((-527 . -132) T) ((-1273 . -1226) 119428) ((-1252 . -1223) 119394) ((-1252 . -1226) 119360) ((-1280 . -95) 119326) ((-1273 . -95) 119292) ((-430 . -911) 119213) ((-647 . -625) 119182) ((-619 . -625) 119151) ((-227 . -861) T) ((-1273 . -35) 119117) ((-1272 . -1133) T) ((-1252 . -95) 119083) ((-1141 . -660) 119055) ((-1252 . -35) 119021) ((-1251 . -1133) T) ((-605 . -152) 119003) ((-1101 . -360) 118982) ((-176 . -300) T) ((-118 . -388) 118959) ((-118 . -349) 118936) ((-171 . -234) 118861) ((-884 . -317) T) ((-323 . -806) NIL) ((-323 . -803) NIL) ((-326 . -738) 118710) ((-323 . -738) T) ((-486 . -374) 118689) ((-370 . -360) 118668) ((-364 . -360) 118647) ((-356 . -360) 118626) ((-326 . -485) 118605) ((-1272 . -23) T) ((-1251 . -23) T) ((-730 . -1133) T) ((-726 . -132) T) ((-665 . -102) T) ((-489 . -729) 118570) ((-674 . -864) 118549) ((-45 . -292) 118499) ((-105 . -1121) T) ((-68 . -625) 118481) ((-250 . -864) 118460) ((-991 . -102) T) ((-878 . -102) T) ((-635 . -917) 118419) ((-1312 . -1121) T) ((-392 . -1121) T) ((-1261 . -234) 118406) ((-1237 . -1121) T) ((-82 . -1238) T) ((-1134 . -272) 118375) ((-1083 . -861) T) ((-118 . -917) NIL) ((-794 . -939) 118354) ((-725 . -861) T) ((-543 . -1121) T) ((-512 . -1121) T) ((-366 . -1242) T) ((-363 . -1242) T) ((-355 . -1242) T) ((-273 . -1242) 118333) ((-253 . -1242) 118312) ((-545 . -874) T) ((-1134 . -232) 118281) ((-1179 . -840) T) ((-1163 . -1077) 118265) ((-402 . -773) T) ((-706 . -1238) T) 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. -628) 116458) ((-1056 . -34) T) ((-828 . -237) 116409) ((-592 . -317) T) ((-576 . -317) T) ((-507 . -317) T) ((-1312 . -729) 116379) ((-706 . -388) 116361) ((-706 . -349) 116343) ((-489 . -174) T) ((-392 . -729) 116313) ((-880 . -628) 116248) ((-885 . -861) NIL) ((-576 . -1043) T) ((-507 . -1043) T) ((-1154 . -625) 116230) ((-1134 . -243) 116209) ((-216 . -102) T) ((-1171 . -102) T) ((-71 . -625) 116191) ((-1045 . -1238) T) ((-1163 . -1070) T) ((-1199 . -38) 116088) ((-872 . -625) 116070) ((-576 . -557) T) ((-682 . -1079) T) ((-743 . -968) 116023) ((-1163 . -238) 116002) ((-365 . -1238) T) ((-1103 . -1121) T) ((-1055 . -25) T) ((-1055 . -21) T) ((-1024 . -1077) 115947) ((-337 . -864) 115926) ((-924 . -102) T) ((-880 . -1070) T) ((-706 . -917) NIL) ((-366 . -339) 115910) ((-366 . -374) T) ((-363 . -339) 115894) ((-363 . -374) T) ((-355 . -339) 115878) ((-355 . -374) T) ((-499 . -102) T) ((-1300 . -38) 115848) ((-558 . -861) T) ((-535 . -699) 115798) ((-219 . -102) T) ((-1045 . -1059) 115678) ((-1024 . -111) 115607) ((-1195 . -994) 115576) ((-1194 . -994) 115538) ((-532 . -152) 115522) ((-1101 . -381) 115501) ((-362 . -625) 115483) ((-332 . -21) T) ((-365 . -1059) 115460) ((-332 . -25) T) ((-1188 . -994) 115429) ((-48 . -1238) T) ((-76 . -625) 115411) ((-1147 . -994) 115378) ((-711 . -317) T) ((-130 . -856) T) ((-929 . -374) T) ((-390 . -25) T) ((-390 . -21) T) ((-929 . -339) 115365) ((-86 . -625) 115347) ((-711 . -1043) T) ((-689 . -861) T) ((-400 . -1238) T) ((-1272 . -132) T) ((-1251 . -132) T) ((-920 . -1031) 115331) ((-848 . -21) T) ((-48 . -1059) 115274) ((-848 . -25) T) ((-839 . -25) T) ((-839 . -21) T) ((-1134 . -658) 115053) ((-1310 . -1079) T) ((-561 . -102) T) ((-1308 . -1079) T) ((-666 . -738) T) ((-1125 . -630) 114956) ((-1024 . -628) 114886) ((-1311 . -1077) 114870) ((-923 . -1238) T) ((-827 . -423) 114839) ((-103 . -120) 114823) ((-130 . -1121) T) ((-52 . -1121) T) ((-945 . -625) 114805) ((-885 . -1013) 114782) ((-835 . -102) T) ((-1311 . -111) 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. -1119) 113398) ((-1272 . -505) 113364) ((-1251 . -505) 113330) ((-449 . -1238) T) ((-560 . -856) T) ((-142 . -1119) 113312) ((-489 . -300) T) ((-1311 . -1070) T) ((-258 . -237) 113209) ((-257 . -237) 113106) ((-1243 . -102) T) ((-1084 . -102) T) ((-855 . -628) 112974) ((-512 . -526) NIL) ((-494 . -243) 112953) ((-419 . -628) 112851) ((-982 . -1072) 112734) ((-747 . -1072) 112704) ((-982 . -652) 112601) ((-1193 . -146) 112580) ((-747 . -652) 112550) ((-465 . -1072) 112520) ((-1193 . -148) 112499) ((-1146 . -148) 112478) ((-1146 . -146) 112457) ((-647 . -1077) 112441) ((-619 . -1077) 112425) ((-465 . -652) 112395) ((-1195 . -1279) 112379) ((-1195 . -1266) 112356) ((-1194 . -1271) 112317) ((-682 . -1121) T) ((-682 . -1074) 112257) ((-1194 . -1266) 112227) ((-560 . -1121) T) ((-499 . -1173) T) ((-1194 . -1269) 112211) ((-1188 . -1250) 112172) ((-830 . -275) 112156) ((-219 . -1173) T) ((-354 . -939) T) ((-99 . -1238) T) ((-647 . -111) 112135) ((-619 . -111) 112114) ((-1188 . -1266) 112091) ((-855 . -1070) 112070) ((-1188 . -1248) 112054) ((-527 . -25) T) ((-507 . -312) T) ((-523 . -23) T) ((-522 . -25) T) ((-520 . -25) T) ((-519 . -23) T) ((-430 . -1072) 112028) ((-419 . -1070) T) ((-329 . -1079) T) ((-706 . -317) T) ((-430 . -652) 112002) ((-108 . -860) T) ((-724 . -738) T) ((-419 . -248) T) ((-419 . -238) 111981) ((-390 . -234) 111968) ((-499 . -38) 111918) ((-219 . -38) 111868) ((-486 . -505) 111834) ((-1245 . -379) T) ((-1179 . -1165) T) ((-1122 . -102) T) ((-839 . -234) 111807) ((-713 . -625) 111789) ((-713 . -626) 111704) ((-726 . -21) T) ((-726 . -25) T) ((-1156 . -102) T) ((-494 . -658) 111483) ((-245 . -911) 111350) ((-135 . -625) 111332) ((-117 . -625) 111314) ((-158 . -25) T) ((-1310 . -1121) T) ((-886 . -651) 111262) ((-1308 . -1121) T) ((-879 . -1238) T) ((-982 . -102) T) ((-747 . -102) T) ((-727 . -102) T) ((-465 . -102) T) ((-828 . -464) 111213) ((-44 . -1121) T) ((-1109 . -861) T) ((-1084 . -319) 111064) ((-676 . -132) T) ((-1075 . -658) 111033) 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. -1043) T) ((-1251 . -651) 109856) ((-701 . -102) 109806) ((-44 . -729) 109790) ((-562 . -102) T) ((-304 . -628) 109721) ((-67 . -394) T) ((-499 . -919) NIL) ((-67 . -407) T) ((-284 . -864) T) ((-219 . -919) NIL) ((-674 . -23) T) ((-829 . -658) 109657) ((-682 . -773) T) ((-1235 . -1121) 109635) ((-362 . -1077) 109580) ((-687 . -1121) 109558) ((-1083 . -148) T) ((-971 . -148) 109537) ((-971 . -146) 109516) ((-811 . -102) T) ((-153 . -729) 109500) ((-493 . -148) 109479) ((-493 . -146) 109458) ((-362 . -111) 109387) ((-1101 . -1079) T) ((-332 . -861) 109366) ((-1280 . -994) 109335) ((-1274 . -1238) T) ((-639 . -1121) T) ((-1273 . -994) 109297) ((-523 . -132) T) ((-519 . -132) T) ((-305 . -231) 109247) ((-370 . -1079) T) ((-364 . -1079) T) ((-356 . -1079) T) ((-304 . -1070) 109189) ((-1252 . -994) 109158) ((-390 . -861) T) ((-108 . -1079) T) ((-1020 . -738) T) ((-884 . -939) T) ((-855 . -807) 109137) ((-855 . -804) 109116) ((-430 . -319) 109055) ((-480 . -102) T) ((-607 . -994) 109024) 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-231) 104420) ((-496 . -1121) 104398) ((-450 . -1238) T) ((-402 . -625) 104380) ((-522 . -861) T) ((-1141 . -1238) T) ((-1273 . -1271) 104341) ((-1273 . -1266) 104311) ((-1273 . -1269) 104295) ((-1252 . -1250) 104256) ((-1252 . -1266) 104233) ((-1252 . -1248) 104217) ((-1195 . -294) 104183) ((-633 . -625) 104165) ((-1194 . -294) 104131) ((-711 . -939) T) ((-1188 . -294) 104097) ((-1147 . -294) 104063) ((-1141 . -901) 104045) ((-1101 . -1121) T) ((-1082 . -1121) T) ((-48 . -312) T) ((-326 . -917) 104011) ((-323 . -917) NIL) ((-1082 . -1089) 103990) ((-811 . -38) 103974) ((-273 . -651) 103922) ((-112 . -864) T) ((-253 . -651) 103870) ((-713 . -1077) 103857) ((-607 . -1266) 103834) ((-1141 . -1059) 103816) ((-329 . -174) 103747) ((-370 . -1121) T) ((-364 . -1121) T) ((-356 . -1121) T) ((-512 . -19) 103729) ((-1123 . -152) 103713) ((-885 . -237) NIL) ((-108 . -1121) T) ((-117 . -1077) 103700) ((-723 . -374) T) ((-512 . -616) 103675) ((-713 . -111) 103660) ((-1313 . -625) 103627) ((-1313 . -502) 103609) ((-1272 . -234) 103555) ((-1251 . -234) 103408) ((-448 . -102) T) ((-890 . -1283) T) ((-256 . -102) T) ((-45 . -1170) 103358) ((-117 . -111) 103343) ((-1290 . -625) 103325) ((-1261 . -237) T) ((-1246 . -625) 103307) ((-1244 . -861) T) ((-647 . -732) T) ((-619 . -732) T) ((-1232 . -1133) T) ((-1232 . -23) T) ((-1193 . -464) 103238) ((-1188 . -319) 103123) ((-1187 . -1121) T) ((-827 . -526) 103056) ((-1056 . -1238) T) ((-245 . -1072) 102957) ((-1179 . -1121) T) ((-1163 . -660) 102895) ((-962 . -152) 102879) ((-1147 . -319) 102866) ((-1146 . -464) 102817) ((-245 . -652) 102739) ((-1108 . -568) 102670) ((-1108 . -1242) 102649) ((-1101 . -729) 102517) ((-537 . -102) T) ((-532 . -102) 102447) ((-1025 . -1072) 102397) ((-1015 . -1121) T) ((-828 . -911) 102293) ((-794 . -1242) 102272) ((-792 . -1242) 102251) ((-62 . -1238) T) ((-489 . -625) 102203) ((-489 . -626) 102125) ((-794 . -568) 102036) ((-792 . -568) 101967) ((-743 . -319) 101954) ((-713 . -628) 101926) ((-494 . -423) 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97665) ((-366 . -234) 97638) ((-363 . -234) 97611) ((-355 . -234) 97584) ((-466 . -23) T) ((-273 . -234) 97529) ((-258 . -911) 97396) ((-257 . -911) 97263) ((-96 . -1121) T) ((-724 . -1238) T) ((-682 . -296) 97240) ((-496 . -526) 97173) ((-1280 . -1072) 97056) ((-1280 . -652) 96953) ((-1273 . -652) 96794) ((-1273 . -1072) 96629) ((-1252 . -652) 96425) ((-1252 . -1072) 96215) ((-299 . -300) T) ((-1103 . -625) 96197) ((-559 . -864) T) ((-1103 . -626) 96178) ((-419 . -928) 96157) ((-1232 . -132) T) ((-50 . -1133) T) ((-1188 . -412) 96109) ((-1045 . -939) T) ((-1024 . -738) T) ((-855 . -660) 96082) ((-724 . -901) NIL) ((-608 . -1072) 96042) ((-593 . -1133) T) ((-530 . -1133) T) ((-607 . -1072) 95925) ((-1178 . -34) T) ((-1025 . -319) NIL) ((-827 . -501) 95909) ((-608 . -652) 95882) ((-365 . -939) T) ((-607 . -652) 95779) ((-929 . -234) 95766) ((-419 . -660) 95682) ((-50 . -23) T) ((-723 . -132) T) ((-724 . -1059) 95562) ((-593 . -23) T) ((-108 . -526) NIL) ((-530 . -23) T) ((-171 . -421) 95533) ((-1161 . -1121) T) ((-1303 . -1302) 95517) ((-743 . -919) 95494) ((-713 . -807) T) ((-713 . -804) T) ((-1141 . -317) T) ((-390 . -148) T) ((-290 . -625) 95476) ((-289 . -625) 95458) ((-1251 . -1013) 95428) ((-48 . -939) T) ((-687 . -501) 95412) ((-258 . -1295) 95382) ((-257 . -1295) 95352) ((-1109 . -237) T) ((-1197 . -861) T) ((-1141 . -1043) T) ((-1067 . -34) T) ((-848 . -148) 95331) ((-848 . -146) 95310) ((-749 . -107) 95294) ((-624 . -133) T) ((-1199 . -1079) T) ((-494 . -1121) 95046) ((-1195 . -919) 94959) ((-1194 . -919) 94865) ((-1188 . -919) 94626) ((-885 . -464) T) ((-85 . -1238) T) ((-142 . -107) 94608) ((-1147 . -919) 94592) ((-724 . -388) 94576) ((-845 . -628) 94444) ((-1311 . -738) T) ((-1300 . -1079) T) ((-1280 . -102) T) ((-1141 . -557) T) ((-591 . -102) T) ((-130 . -502) 94426) ((-1273 . -102) T) ((-402 . -1077) 94410) ((-1193 . -968) 94379) ((-44 . -296) 94356) ((-130 . -625) 94323) ((-52 . -625) 94305) ((-1146 . -968) 94272) ((-665 . -423) 94256) ((-1252 . -102) T) ((-1179 . -526) NIL) ((-674 . -25) T) ((-633 . -1077) 94240) ((-674 . -21) T) ((-982 . -658) 94150) ((-747 . -658) 94095) ((-727 . -658) 94067) ((-402 . -111) 94046) ((-224 . -261) 94030) ((-1075 . -1074) 93970) ((-1075 . -1121) T) ((-1025 . -1173) T) ((-830 . -1121) T) ((-465 . -658) 93885) ((-647 . -660) 93869) ((-633 . -111) 93848) ((-619 . -660) 93832) ((-354 . -1242) T) ((-608 . -102) T) ((-321 . -502) 93813) ((-598 . -132) T) ((-607 . -102) T) ((-426 . -1121) T) ((-396 . -1121) T) ((-321 . -625) 93779) ((-229 . -1121) 93757) ((-659 . -526) 93690) ((-644 . -526) 93534) ((-845 . -1070) 93513) ((-656 . -152) 93497) ((-354 . -568) T) ((-724 . -917) 93440) ((-562 . -231) 93390) ((-1280 . -294) 93356) ((-1273 . -294) 93322) ((-1101 . -300) 93273) ((-576 . -864) T) ((-499 . -860) T) ((-225 . -1133) T) ((-1252 . -294) 93239) ((-1232 . -505) 93205) ((-1025 . -38) 93155) ((-219 . -860) T) ((-430 . -658) 93114) ((-933 . -38) 93066) ((-855 . -806) 93045) ((-855 . -803) 93024) ((-855 . -738) 93003) ((-370 . -300) T) ((-364 . -300) T) ((-356 . -300) T) ((-171 . -464) 92934) ((-439 . -38) 92918) ((-225 . -23) T) ((-108 . -300) T) ((-419 . -806) 92897) ((-419 . -803) 92876) ((-419 . -738) T) ((-512 . -298) 92851) ((-489 . -1077) 92816) ((-670 . -132) T) ((-633 . -628) 92785) ((-1134 . -526) 92718) ((-347 . -132) T) ((-171 . -414) 92697) ((-494 . -729) 92639) ((-827 . -296) 92616) ((-489 . -111) 92572) ((-665 . -1079) T) ((-1193 . -911) 92475) ((-1146 . -911) 92457) ((-828 . -1072) 92300) ((-1299 . -1104) T) ((-1261 . -464) 92231) ((-828 . -652) 92080) ((-1298 . -1104) T) ((-1108 . -132) T) ((-1075 . -729) 92022) ((-1048 . -526) 91955) ((-794 . -132) T) ((-792 . -132) T) ((-711 . -864) T) ((-583 . -464) T) ((-633 . -1070) T) ((-604 . -1121) T) ((-545 . -175) T) ((-473 . -132) T) ((-466 . -132) T) ((-390 . -237) T) ((-1020 . -1238) T) ((-45 . -1121) T) ((-396 . -729) 91925) ((-829 . -1121) T) ((-488 . -526) 91858) ((-475 . -526) 91791) ((-1313 . -628) 91773) ((-465 . -378) 91743) ((-45 . -622) 91722) ((-411 . -1238) T) ((-326 . -312) T) ((-1288 . -864) 91701) ((-839 . -237) 91680) ((-489 . -628) 91630) ((-1252 . -319) 91515) ((-682 . -625) 91477) ((-59 . -861) 91456) ((-1025 . -412) 91438) ((-560 . -625) 91420) ((-811 . -658) 91379) ((-827 . -616) 91356) ((-528 . -861) 91335) ((-508 . -861) 91314) ((-1020 . -1059) 91210) ((-40 . -1242) T) ((-245 . -919) 91079) ((-50 . -132) T) ((-593 . -132) T) ((-530 . -132) T) ((-304 . -660) 90939) ((-354 . -339) 90916) ((-354 . -374) T) ((-332 . -333) 90893) ((-329 . -296) 90851) ((-40 . -568) T) ((-390 . -1223) T) ((-390 . -1226) T) ((-1056 . -1214) 90826) ((-1210 . -240) 90776) ((-1188 . -232) 90728) ((-1188 . -272) 90680) ((-340 . -1121) T) ((-390 . -95) T) ((-390 . -35) T) ((-1056 . -107) 90626) ((-489 . -1070) T) ((-1312 . -1077) 90610) ((-491 . -240) 90560) ((-1180 . -501) 90494) ((-1303 . -1072) 90478) ((-392 . -1077) 90462) ((-1303 . -652) 90432) ((-828 . -102) T) ((-489 . -248) T) ((-726 . -148) 90411) 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89151) ((-1237 . -628) 89132) ((-608 . -38) 89105) ((-607 . -38) 89002) ((-884 . -568) T) ((-225 . -132) T) ((-329 . -1023) 88968) ((-79 . -625) 88950) ((-724 . -317) 88929) ((-304 . -738) 88831) ((-836 . -102) T) ((-878 . -856) T) ((-304 . -485) 88810) ((-1303 . -102) T) ((-40 . -374) T) ((-886 . -148) 88789) ((-497 . -658) 88771) ((-886 . -146) 88750) ((-1179 . -501) 88732) ((-1312 . -1070) T) ((-494 . -526) 88665) ((-1167 . -1238) T) ((-983 . -625) 88647) ((-659 . -501) 88631) ((-644 . -501) 88562) ((-827 . -625) 88255) ((-48 . -27) T) ((-1199 . -729) 88152) ((-971 . -911) 88131) ((-665 . -1121) T) ((-875 . -874) T) ((-448 . -375) 88105) ((-743 . -658) 88015) ((-493 . -911) 87990) ((-1123 . -102) T) ((-991 . -1121) T) ((-878 . -1121) T) ((-828 . -319) 87977) ((-545 . -539) T) ((-545 . -588) T) ((-1308 . -393) 87949) ((-706 . -864) T) ((-1075 . -526) 87882) ((-1180 . -296) 87858) ((-245 . -272) 87827) ((-245 . -232) 87796) ((-258 . -1072) 87697) ((-257 . -1072) 87598) ((-1300 . -729) 87568) ((-1187 . -93) T) ((-1015 . -93) T) ((-829 . -174) 87547) ((-258 . -652) 87469) ((-257 . -652) 87391) ((-1235 . -502) 87368) ((-590 . -1238) T) ((-229 . -526) 87301) ((-633 . -807) 87280) ((-633 . -804) 87259) ((-1235 . -625) 87171) ((-224 . -1238) T) ((-687 . -625) 87103) ((-1195 . -658) 87013) ((-1178 . -1031) 86997) ((-962 . -102) 86927) ((-362 . -738) T) ((-875 . -625) 86909) ((-1194 . -658) 86791) ((-1188 . -658) 86628) ((-1147 . -658) 86538) ((-1252 . -412) 86490) ((-1134 . -501) 86474) ((-60 . -319) 86412) ((-341 . -102) T) ((-1232 . -21) T) ((-1232 . -25) T) ((-40 . -1133) T) ((-723 . -21) T) ((-639 . -625) 86394) ((-527 . -333) 86373) ((-723 . -25) T) ((-451 . -102) T) ((-108 . -296) NIL) ((-940 . -1133) T) ((-40 . -23) T) ((-783 . -1133) T) ((-576 . -1242) T) ((-507 . -1242) T) ((-1025 . -272) 86355) ((-329 . -625) 86337) ((-1025 . -232) 86319) ((-171 . -167) 86303) ((-592 . -568) T) ((-576 . -568) T) ((-507 . -568) T) ((-783 . -23) T) ((-1272 . -148) 86282) ((-1272 . -146) 86261) ((-1180 . -616) 86237) ((-1251 . -146) 86162) ((-1048 . -501) 86146) ((-1245 . -1238) T) ((-1251 . -148) 86071) ((-1303 . -1309) 86050) ((-885 . -911) NIL) ((-488 . -501) 86034) ((-475 . -501) 86018) ((-535 . -34) T) ((-665 . -729) 85988) ((-1280 . -919) 85901) ((-1273 . -919) 85807) ((-1252 . -919) 85568) ((-112 . -988) T) ((-1199 . -174) 85519) ((-674 . -861) 85498) ((-376 . -102) T) ((-607 . -919) 85411) ((-245 . -243) 85390) ((-258 . -102) T) ((-257 . -102) T) ((-1261 . -968) 85359) ((-250 . -861) 85338) ((-1045 . -864) T) ((-828 . -38) 85187) ((-45 . -526) 84979) ((-1179 . -296) 84929) ((-216 . -1121) T) ((-1171 . -1121) T) ((-886 . -237) 84880) ((-1171 . -622) 84859) ((-598 . -25) T) ((-598 . -21) T) ((-1123 . -319) 84797) ((-982 . -423) 84781) ((-711 . -1242) T) ((-644 . -296) 84734) ((-1108 . -651) 84682) ((-924 . -1121) T) ((-794 . -651) 84630) ((-792 . -651) 84578) ((-354 . -132) T) ((-299 . -625) 84560) ((-884 . -1133) T) ((-711 . -568) T) ((-130 . -628) 84542) 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83165) ((-1193 . -652) 82994) ((-1146 . -652) 82843) ((-868 . -652) 82813) ((-1252 . -232) 82765) ((-1108 . -25) T) ((-561 . -1121) T) ((-1108 . -21) T) ((-982 . -1079) T) ((-543 . -804) T) ((-543 . -807) T) ((-118 . -1242) T) ((-880 . -1238) T) ((-635 . -568) T) ((-794 . -25) T) ((-794 . -21) T) ((-792 . -21) T) ((-792 . -25) T) ((-747 . -1079) T) ((-727 . -1079) T) ((-682 . -1077) 82749) ((-529 . -1104) T) ((-473 . -25) T) ((-118 . -568) T) ((-473 . -21) T) ((-466 . -25) T) ((-466 . -21) T) ((-1252 . -272) 82701) ((-1172 . -93) T) ((-1163 . -1059) 82597) ((-829 . -300) 82576) ((-1251 . -1223) 82542) ((-835 . -1121) T) ((-985 . -988) T) ((-682 . -111) 82521) ((-629 . -1238) T) ((-305 . -526) 82313) ((-1251 . -1226) 82279) ((-1251 . -237) 82138) ((-1246 . -379) T) ((-258 . -319) 82076) ((-257 . -319) 82014) ((-1243 . -856) T) ((-1180 . -626) NIL) ((-1180 . -625) 81996) ((-1163 . -388) 81980) ((-1141 . -832) T) ((-1141 . -939) T) ((-96 . -93) T) ((-1134 . -616) 81957) ((-1101 . -626) 81941) ((-1101 . -625) 81923) ((-1025 . -658) 81873) ((-933 . -658) 81810) ((-827 . -298) 81787) ((-496 . -625) 81719) ((-620 . -152) 81666) ((-499 . -729) 81616) ((-430 . -1079) T) ((-494 . -501) 81600) ((-439 . -658) 81559) ((-337 . -861) 81538) ((-350 . -660) 81512) ((-50 . -21) T) ((-50 . -25) T) ((-219 . -729) 81462) ((-171 . -736) 81433) ((-176 . -660) 81365) ((-593 . -21) T) ((-593 . -25) T) ((-530 . -25) T) ((-530 . -21) T) ((-487 . -152) 81315) ((-1082 . -625) 81297) ((-1014 . -102) T) ((-876 . -102) T) ((-828 . -919) 81197) ((-811 . -423) 81160) ((-40 . -132) T) ((-711 . -374) T) ((-713 . -738) T) ((-713 . -806) T) ((-713 . -803) T) ((-214 . -912) T) ((-592 . -1133) T) ((-576 . -1133) T) ((-507 . -1133) T) ((-370 . -625) 81142) ((-364 . -625) 81124) ((-356 . -625) 81106) ((-66 . -408) T) ((-66 . -407) T) ((-108 . -626) 81036) ((-108 . -625) 80978) ((-213 . -912) T) ((-977 . -152) 80962) ((-783 . -132) T) ((-682 . -628) 80880) ((-135 . -738) T) ((-117 . -738) T) ((-1272 . -35) 80846) ((-1075 . -501) 80830) ((-592 . -23) T) ((-576 . -23) T) ((-507 . -23) T) ((-1251 . -95) 80796) ((-1251 . -35) 80762) ((-1193 . -102) T) ((-1146 . -102) T) ((-868 . -102) T) ((-229 . -501) 80746) ((-1310 . -111) 80725) ((-1308 . -111) 80704) ((-44 . -1077) 80688) ((-1311 . -1238) T) ((-1310 . -628) 80634) ((-1310 . -1070) T) ((-1308 . -628) 80563) ((-1308 . -1070) T) ((-1261 . -1264) 80547) ((-869 . -866) 80531) ((-1199 . -300) 80510) ((-1125 . -1238) T) ((-110 . -296) 80460) ((-1024 . -1238) T) ((-129 . -152) 80442) ((-1163 . -917) 80401) ((-44 . -111) 80380) ((-1243 . -1121) T) ((-1202 . -1283) T) ((-1188 . -860) NIL) ((-1187 . -502) 80361) ((-682 . -1070) T) ((-1187 . -625) 80327) ((-1179 . -625) 80309) ((-486 . -237) 80261) ((-1084 . -622) 80236) ((-1015 . -502) 80217) ((-74 . -453) T) ((-74 . -407) T) ((-1084 . -1121) T) ((-153 . -1077) 80201) ((-1015 . -625) 80167) ((-682 . -238) 80146) ((-583 . -566) 80130) ((-366 . -148) 80109) ((-366 . -146) 80060) ((-363 . -148) 80039) 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. -414) NIL) ((-118 . -237) NIL) ((-1195 . -628) 34107) ((-1141 . -673) T) ((-885 . -729) 34052) ((-258 . -501) 34036) ((-257 . -501) 34020) ((-1194 . -628) 33763) ((-1188 . -628) 33558) ((-724 . -651) 33506) ((-665 . -660) 33480) ((-1147 . -628) 33362) ((-305 . -34) T) ((-1141 . -113) T) ((-743 . -1070) T) ((-593 . -1295) 33349) ((-530 . -1295) 33326) ((-1261 . -1121) T) ((-1193 . -300) 33237) ((-1146 . -300) 33168) ((-1083 . -174) T) ((-299 . -1238) T) ((-869 . -1121) T) ((-971 . -174) 33079) ((-794 . -1264) 33063) ((-656 . -526) 32996) ((-77 . -625) 32978) ((-743 . -336) 32943) ((-1199 . -738) T) ((-583 . -1121) T) ((-493 . -174) 32854) ((-250 . -319) 32792) ((-1163 . -1133) T) ((-70 . -625) 32774) ((-1300 . -738) T) ((-1195 . -1070) T) ((-1194 . -1070) T) ((-1188 . -1070) T) ((-337 . -102) 32704) ((-1163 . -23) T) ((-2 . -1238) T) ((-1147 . -1070) T) ((-91 . -1142) 32688) ((-880 . -1133) T) ((-1195 . -238) 32647) ((-1194 . -248) 32626) ((-1194 . -238) 32578) ((-1188 . -238) 32465) 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T) ((-839 . -1079) T) ((-706 . -35) NIL) ((-706 . -95) NIL) ((-323 . -1013) 29619) ((-185 . -102) T) ((-1311 . -1133) T) ((-1311 . -23) T) ((-592 . -464) T) ((-576 . -464) T) ((-507 . -464) T) ((-1303 . -625) 29601) ((-1261 . -174) 29492) ((-1232 . -102) T) ((-419 . -374) T) ((-1219 . -1121) T) ((-1210 . -231) 29442) ((-1204 . -856) T) ((-1203 . -856) T) ((-1187 . -1238) T) ((-245 . -1070) 29420) ((-1015 . -1238) T) ((-1171 . -34) T) ((-1188 . -804) NIL) ((-1188 . -807) NIL) ((-1179 . -1238) T) ((-489 . -939) T) ((-1020 . -651) 29368) ((-258 . -616) 29345) ((-257 . -616) 29322) ((-1163 . -132) T) ((-1123 . -626) 29283) ((-1101 . -388) 29267) ((-885 . -526) 29175) ((-245 . -238) 29127) ((-1123 . -625) 29109) ((-1109 . -1121) T) ((-1025 . -628) 29059) ((-1101 . -917) 28992) ((-933 . -628) 28929) ((-836 . -625) 28911) ((-1097 . -1121) T) ((-1083 . -300) T) ((-1025 . -248) T) ((-1025 . -238) T) ((-1025 . -1070) T) ((-977 . -1121) 28861) ((-971 . -300) 28792) ((-439 . -628) 28761) ((-108 . 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22491) ((-188 . -625) 22473) ((-656 . -296) 22425) ((-1055 . -729) 22409) ((-583 . -300) T) ((-982 . -660) 22334) ((-1311 . -132) T) ((-747 . -660) 22294) ((-727 . -660) 22281) ((-284 . -102) T) ((-465 . -660) 22211) ((-50 . -102) T) ((-593 . -102) T) ((-530 . -102) T) ((-1280 . -1070) T) ((-1273 . -1070) T) ((-1252 . -1070) T) ((-1161 . -1238) T) ((-519 . -658) 22193) ((-332 . -729) 22175) ((-1280 . -238) 22134) ((-1273 . -248) 22113) ((-1273 . -238) 22065) ((-1252 . -238) 21952) ((-1252 . -248) 21931) ((-1232 . -38) 21828) ((-608 . -1070) T) ((-607 . -1070) T) ((-1025 . -807) T) ((-1025 . -804) T) ((-992 . -807) T) ((-992 . -804) T) ((-886 . -1079) T) ((-109 . -625) 21810) ((-706 . -464) T) ((-390 . -729) 21775) ((-430 . -660) 21749) ((-884 . -883) 21733) ((-723 . -38) 21698) ((-607 . -238) 21657) ((-40 . -736) 21629) ((-362 . -339) 21606) ((-362 . -374) T) ((-1101 . -317) 21557) ((-304 . -1133) 21438) ((-1127 . -1238) T) ((-1020 . -234) 21383) ((-173 . -102) T) ((-1255 . -625) 21350) ((-855 . -132) 21302) ((-848 . -729) 21272) ((-656 . -1276) 21256) ((-839 . -729) 21226) ((-656 . -616) 21203) ((-494 . -1238) T) ((-370 . -317) T) ((-364 . -317) T) ((-356 . -317) T) ((-411 . -234) 21190) ((-419 . -132) T) ((-532 . -678) 21174) ((-108 . -317) T) ((-304 . -23) 21057) ((-532 . -663) 21041) ((-706 . -414) NIL) ((-532 . -384) 21025) ((-301 . -625) 21007) ((-91 . -1121) 20985) ((-108 . -1043) T) ((-576 . -144) T) ((-1288 . -152) 20969) ((-494 . -1059) 20796) ((-1274 . -146) 20757) ((-1274 . -148) 20718) ((-1075 . -1238) T) ((-1299 . -93) T) ((-1014 . -625) 20700) ((-830 . -1238) T) ((-876 . -625) 20682) ((-828 . -1077) 20525) ((-1298 . -93) T) ((-1193 . -626) NIL) ((-1117 . -1121) T) ((-1111 . -1121) T) ((-1108 . -319) 20512) ((-426 . -1238) T) ((-396 . -1238) T) ((-1094 . -1121) T) ((-229 . -1238) T) ((-1087 . -1121) T) ((-1057 . -1121) T) ((-1040 . -1121) T) ((-794 . -319) 20499) ((-792 . -319) 20486) ((-1193 . -625) 20468) ((-828 . -111) 20297) ((-1146 . -625) 20279) ((-638 . -1121) T) ((-589 . -175) T) ((-541 . -175) T) ((-466 . -319) 20266) ((-495 . -1121) T) ((-1146 . -626) 20014) ((-1055 . -174) T) ((-962 . -298) 19991) ((-220 . -1121) T) ((-868 . -625) 19973) ((-620 . -526) 19756) ((-81 . -628) 19697) ((-830 . -1059) 19681) ((-487 . -526) 19473) ((-845 . -864) 19452) ((-982 . -738) T) ((-747 . -738) T) ((-727 . -738) T) ((-362 . -1133) T) ((-1200 . -625) 19434) ((-225 . -102) T) ((-494 . -388) 19403) ((-527 . -1121) T) ((-522 . -1121) T) ((-520 . -1121) T) ((-811 . -660) 19377) ((-1045 . -464) T) ((-977 . -526) 19310) ((-362 . -23) T) ((-647 . -132) T) ((-619 . -132) T) ((-365 . -464) T) ((-245 . -379) 19289) ((-390 . -174) T) ((-1272 . -1079) T) ((-1251 . -1079) T) ((-227 . -1023) T) ((-828 . -628) 19026) ((-711 . -399) T) ((-430 . -738) T) ((-713 . -1242) T) ((-1163 . -651) 18974) ((-592 . -883) 18958) ((-1303 . -1077) 18942) ((-1180 . -1214) 18918) ((-713 . -568) T) ((-127 . -1121) 18896) ((-726 . -1121) T) ((-670 . -38) 18866) 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-1223) 14473) ((-326 . -1226) 14452) ((-466 . -919) 14429) ((-326 . -978) 14408) ((-135 . -1133) T) ((-117 . -1133) T) ((-991 . -1238) T) ((-878 . -1238) T) ((-713 . -23) T) ((-665 . -1238) T) ((-614 . -1286) 14392) ((-614 . -1121) 14342) ((-543 . -864) T) ((-512 . -864) T) ((-326 . -95) 14321) ((-91 . -526) 14254) ((-176 . -374) T) ((-258 . -628) 14052) ((-257 . -628) 13850) ((-326 . -35) 13829) ((-620 . -501) 13763) ((-135 . -23) T) ((-117 . -23) T) ((-985 . -102) T) ((-730 . -1121) T) ((-487 . -501) 13700) ((-419 . -651) 13648) ((-665 . -1059) 13544) ((-977 . -501) 13528) ((-366 . -1079) T) ((-363 . -1079) T) ((-355 . -1079) T) ((-273 . -1079) T) ((-253 . -1079) T) ((-885 . -626) NIL) ((-885 . -625) 13510) ((-1299 . -502) 13491) ((-1298 . -502) 13472) ((-1311 . -21) T) ((-1299 . -625) 13438) ((-1298 . -625) 13404) ((-583 . -1023) T) ((-743 . -738) T) ((-1311 . -25) T) ((-258 . -1070) 13382) ((-257 . -1070) 13360) ((-72 . -1238) T) ((-1163 . -234) 13305) ((-258 . -238) 13257) ((-257 . -238) 13209) ((-1141 . -237) T) ((-40 . -102) T) ((-929 . -1079) T) ((-706 . -911) NIL) ((-1202 . -102) T) ((-129 . -501) 13191) ((-1195 . -738) T) ((-1194 . -738) T) ((-1188 . -738) T) ((-1188 . -803) NIL) ((-1188 . -806) NIL) ((-973 . -102) T) ((-940 . -102) T) ((-884 . -1072) 13178) ((-1147 . -738) T) ((-783 . -102) T) ((-684 . -102) T) ((-884 . -652) 13165) ((-558 . -625) 13147) ((-486 . -1121) T) ((-350 . -1133) T) ((-176 . -1133) T) ((-329 . -939) 13126) ((-1272 . -729) 12967) ((-886 . -174) T) ((-1251 . -729) 12781) ((-855 . -21) 12733) ((-855 . -25) 12685) ((-250 . -1170) 12669) ((-127 . -526) 12602) ((-419 . -25) T) ((-419 . -21) T) ((-350 . -23) T) ((-171 . -626) 12368) ((-171 . -625) 12350) ((-176 . -23) T) ((-656 . -298) 12327) ((-532 . -34) T) ((-915 . -625) 12309) ((-89 . -1238) T) ((-853 . -625) 12291) ((-820 . -625) 12273) ((-781 . -625) 12255) ((-689 . -625) 12237) ((-245 . -660) 12070) ((-629 . -113) T) ((-1197 . -1121) T) ((-1193 . -1077) 11893) ((-216 . -1238) T) 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\ No newline at end of file diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index ce7cca06..f62e00cb 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3486841613) +(30 . 3486847998) (4467 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -488,662 +488,664 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |asinhIfCan| |RemainderList| |lazyIntegrate| - |wronskianMatrix| |arg2| |forLoop| |string| |upperCase!| |clikeUniv| - |simpson| |leastAffineMultiple| |legendre| |updateStatus!| |distance| - |setfirst!| |idealSimplify| |prindINFO| |selectOrPolynomials| |say| - |mapSolve| |decreasePrecision| |OMconnectTCP| |OMreceive| |sqfrFactor| - |definingPolynomial| |conditions| |integralMatrixAtInfinity| |belong?| - |writeInt8!| |one?| |delete!| |integralAtInfinity?| |transpose| - |showTheIFTable| |setStatus| |title| |match| |nextNormalPoly| - |hasPredicate?| |reset| |viewWriteDefault| |leadingCoefficientRicDE| - |leadingIndex| |numericalIntegration| |maxrank| |supDimElseRittWu?| - |more?| |sum| |bitTruth| |lfintegrate| |mapDown!| |inc| |stirling2| - |f04arf| |restorePrecision| |e02def| |BumInSepFFE| |outlineRender| - |property| |minordet| |write| |dflist| |logGamma| |nilFactor| - |numberOfComponents| |multiEuclidean| |quoted?| |e| |sorted?| - |putProperty| |save| |crushedSet| |hexDigit| |lp| |diag| |mathieu24| - |repeating| |oddInfiniteProduct| |addPoint2| |monomialIntegrate| - |nothing| |c06gbf| |toseInvertibleSet| |lifting1| |imports| |cAcsc| - |birth| |stopTableGcd!| |goto| |bsolve| |randnum| - |noncommutativeJordanAlgebra?| |aQuartic| |fortranCharacter| - |sequences| |pdct| |cot2tan| |top| |e02zaf| |complexNormalize| - |addPointLast| |fortranLiteralLine| |mappingMode| |expint| |trigs| - |characteristicSet| |tanSum| |continue| |insertRoot!| - |dimensionOfIrreducibleRepresentation| |times!| |infieldIntegrate| - |qroot| |euclideanGroebner| |setMaxPoints| |mapdiv| |symbolTableOf| - |revert| |sortConstraints| |max| |external?| |univcase| |infinite?| - |cardinality| |cSin| |squareFreePrim| ** LODO2FUN |hash| |listexp| - |isExpt| |hermiteH| |bivariatePolynomials| |drawStyle| |startStats!| - |iiatan| |s18def| |readUInt16!| |count| |hclf| |buildSyntax| - |integerIfCan| |stoseInvertibleSet| |characteristicSerie| |mkIntegral| - |e04ycf| |cosh2sech| |simplify| |pushNewContour| |createThreeSpace| - |alphanumeric?| |ratDsolve| |stripCommentsAndBlanks| |bfKeys| - |divisor| |physicalLength| |mix| |changeWeightLevel| |constant| - |singRicDE| |selectOptimizationRoutines| |reduced?| - |associatorDependence| |OMbindTCP| |SturmHabicht| - |useEisensteinCriterion| |lyndon?| |iiGamma| |exprHasAlgebraicWeight| - |numberOfChildren| |mantissa| |printingInfo?| |e01saf| |cycles| - |linearDependence| |B1solve| |modifyPoint| |listConjugateBases| - |f02fjf| |shuffle| |constantToUnaryFunction| |printTypes| - |deleteProperty!| |associates?| |e04jaf| |readUInt32!| |leaf?| - |normInvertible?| |curveColorPalette| |divisors| |swap!| FG2F - |failed?| |curve?| |safeFloor| |increment| |ran| |alphabetic| - |problemPoints| |iitan| |e01sef| |freeOf?| - |stiffnessAndStabilityFactor| |binary| |s18adf| - |createPrimitiveNormalPoly| |leftCharacteristicPolynomial| - |linearlyDependent?| |basicSet| |Lazard| |UP2ifCan| |coordinate| - |subscriptedVariables| |solid?| |inputOutputBinaryFile| - |explicitlyEmpty?| |internalDecompose| |transform| |lookupFunction| - |extract!| |stoseInvertible?| |primitive?| |froot| |unitVector| |pquo| - |primitivePart| |factorGroebnerBasis| |readInt8!| |rightGcd| - |removeCoshSq| |stopTable!| |bigEndian| |putProperties| |mapExpon| - |escape| |startTableGcd!| |lookup| |d02raf| |complexZeros| - |makeGraphImage| |hasTopPredicate?| |secIfCan| |categories| - |rowEchelonLocal| |lquo| |returns| |finite?| |tab| |numer| - |cyclotomicDecomposition| |retractIfCan| |modularGcd| |conjugates| - |row| |exprHasWeightCosWXorSinWX| |bat| |normalizeIfCan| |bumptab| - |jokerMode| |denom| |makeSUP| |d02gaf| |variationOfParameters| - |removeSuperfluousQuasiComponents| |setLegalFortranSourceExtensions| - |makeFloatFunction| |rightScalarTimes!| |mathieu11| |OMParseError?| - |asecIfCan| |e04dgf| |prefixRagits| |lowerCase?| |normalizedDivide| - |resize| |probablyZeroDim?| |modifyPointData| |quasiComponent| |pi| - |iisech| |directSum| |connectTo| |zeroDimPrime?| |dihedral| - |createMultiplicationMatrix| |c02agf| - |purelyAlgebraicLeadingMonomial?| |rightZero| |infinity| |inRadical?| - |weighted| |changeMeasure| |basisOfRightNucloid| |concat| |step| - |commutativeEquality| |univariatePolynomial| |cycleLength| |connect| - |f04mcf| |closeComponent| |noValueMode| |s17acf| |clip| - |generalizedInverse| |dimensionsOf| |doubleRank| |besselJ| |updatD| - |argument| |rur| |stoseInvertible?sqfreg| |s17aef| |charpol| - |errorInfo| |roughBasicSet| |viewZoomDefault| - |createNormalPrimitivePoly| |kernel| |rightNorm| - |genericRightDiscriminant| |incrementKthElement| - |factorSquareFreePolynomial| |formula| |numberOfNormalPoly| |e04ucf| - |slash| |list| |bernoulli| |ptree| |sechIfCan| |curve| - |genericLeftDiscriminant| |just| |traceMatrix| |lhs| |newSubProgram| - |real?| |numberOfFactors| |monicDecomposeIfCan| |draw| - |createLowComplexityTable| |LagrangeInterpolation| |clearCache| - |rewriteSetByReducingWithParticularGenerators| |definingEquations| - |iiabs| |rhs| |primaryDecomp| |OMunhandledSymbol| |alphanumeric| - |d01gaf| |irreducibleFactors| |back| |matrixDimensions| - |extractClosed| |outputAsTex| |power| |largest| |exprToUPS| - |OMputBind| |perfectNthPower?| |solveLinearlyOverQ| - |ellipticCylindrical| |lambert| |reseed| |currentEnv| |nrows| - |hdmpToDmp| |deref| |outputFloating| |palgextint| |companionBlocks| - |zeroDimPrimary?| |cyclePartition| |semiResultantReduitEuclidean| - |rotate| |ncols| |solveid| |selectsecond| |iitanh| |assign| - |makeObject| |getCode| |rischNormalize| |solid| |fintegrate| |closed| - |btwFact| |medialSet| |drawComplex| |singularitiesOf| |s19acf| |coef| - |imagK| |someBasis| |pop!| |fibonacci| |intermediateResultsIF| - |explicitlyFinite?| |var2Steps| |s14baf| |submod| |d01alf| - |seriesSolve| |rowEchLocal| |listRepresentation| |deepExpand| |dark| - |digit| |inconsistent?| |irCtor| |in?| |rightMinimalPolynomial| - |nodes| |rubiksGroup| |adaptive3D?| |cubic| |partialFraction| - |colorDef| |possiblyInfinite?| |extend| |multiEuclideanTree| |dmpToP| - |innerSolve1| |kind| |setleaves!| |testModulus| |push| |invertible?| - |irreducible?| |eulerE| |iiacot| |loopPoints| |swapColumns!| |op| - |commutator| |zCoord| |unit?| |f02aef| |complex?| |kernels| - |withPredicates| |physicalLength!| |radicalEigenvalues| - |showScalarValues| |nullity| |fortranDouble| |f01qcf| |iiatanh| - |outputAsScript| |inHallBasis?| |gbasis| |symmetricRemainder| - |operator| |algebraicCoefficients?| |e02baf| |raisePolynomial| - |encodingDirectory| |integralCoordinates| |palgextint0| |associator| - |psolve| SEGMENT |linears| |completeEval| |fractionPart| |point?| - |critMonD1| |se2rfi| |highCommonTerms| |palglimint0| |mainForm| |sort| - |toroidal| |univariate| |csubst| |sech2cosh| |multiplyExponents| - |decimal| |semiSubResultantGcdEuclidean1| |extendedResultant| |blue| - |cosIfCan| |groebnerFactorize| |dec| |splitLinear| |BasicMethod| - |ceiling| |OMputEndBind| |expandLog| |discreteLog| |rightFactorIfCan| - |palgint0| |LyndonBasis| |rightFactorCandidate| - |stoseInvertibleSetreg| |represents| |union| |jordanAlgebra?| - |coefficient| |OMsupportsSymbol?| |null?| |tableau| |lieAdmissible?| - |fullPartialFraction| |factor| |resultantEuclideannaif| |setAdaptive| - |iiasinh| |symmetricGroup| |bipolar| |errorKind| - |monicRightFactorIfCan| |random| |primextintfrac| |omError| - |bandedJacobian| |sqrt| |setright!| |accuracyIF| - |invertibleElseSplit?| |curveColor| |untab| |jacobi| |comp| - |anticoord| |f01qef| |real| |tubePointsDefault| |shellSort| - |coercePreimagesImages| |cotIfCan| |quotient| |indicialEquations| - |weights| |lazyEvaluate| |ReduceOrder| |imag| |triangSolve| |aCubic| - |super| |properties| |mainDefiningPolynomial| |positive?| |f07aef| - |realEigenvalues| |leadingBasisTerm| |copy| |directProduct| |updatF| - |genericLeftTrace| |complexIntegrate| |pr2dmp| |complexExpand| - |explogs2trigs| |translate| |bubbleSort!| |enterPointData| - |semiResultantEuclideannaif| |leftRemainder| |s17dlf| - |integralLastSubResultant| |drawToScale| |symmetricSquare| |depth| - |besselI| |roman| |removeSinSq| |setColumn!| |reduction| |exprex| - |e01bef| |brace| |superHeight| |nsqfree| |recoverAfterFail| - |expressIdealMember| |subPolSet?| |packageCall| - |indicialEquationAtInfinity| |destruct| |inR?| |lazyPseudoDivide| - |graphStates| |algDsolve| |extendedSubResultantGcd| |pdf2df| - |prinpolINFO| |saturate| |printCode| |factorsOfCyclicGroupSize| - |infinityNorm| |monicDivide| |match?| |fortranCarriageReturn| - |normalized?| |splitConstant| |trigs2explogs| |purelyAlgebraic?| - |autoCoerce| |write!| |rootKerSimp| |tanNa| |oblateSpheroidal| - |principalAncestors| |divideIfCan!| |pile| |arguments| |OMputError| - |rquo| |sturmVariationsOf| |degreeSubResultant| |firstSubsetGray| - |makeMulti| |rename!| |compBound| |userOrdered?| - |selectNonFiniteRoutines| |internalIntegrate0| |expand| |f04maf| - |monomial| |findBinding| |ignore?| |nextsubResultant2| |airyAi| - |startPolynomial| |atom?| |e04fdf| |filterWhile| |maxdeg| |distribute| - |f02adf| |multivariate| |sequence| |close| |categoryMode| |tanhIfCan| - |cos2sec| |s21baf| F |s18dcf| |subMatrix| |filterUntil| - |binarySearchTree| |s15aef| |variables| |isobaric?| |printStatement| - |reverseLex| |ef2edf| |select| |expextendedint| |components| |display| - |evaluateInverse| |euclideanSize| |nextsousResultant2| - |realElementary| |head| |reducedQPowers| |newLine| |identification| - |space| |flagFactor| |numFunEvals| |minimalPolynomial| - |roughEqualIdeals?| |pade| |linkToFortran| |nthExpon| |elaboration| - |sumSquares| |youngGroup| |rootPoly| |subResultantChain| - |linearAssociatedExp| |halfExtendedSubResultantGcd1| |predicate| - |paraboloidal| |removeSinhSq| |leftDiscriminant| |critMTonD1| - |closed?| |sin?| |OMgetEndObject| |debug| |taylor| |reduceLODE| - |ListOfTerms| |overset?| |OMcloseConn| |OMgetAtp| |cn| |invmultisect| - |fortranLogical| |critT| D |laurent| |findConstructor| |input| |iilog| - |fractRagits| |argumentList!| |externalList| |linearMatrix| - |rightPower| |subHeight| |puiseux| |fillPascalTriangle| |library| - |removeDuplicates| |nor| |vark| EQ |fortranDoubleComplex| - |solveLinearPolynomialEquationByRecursion| |getExplanations| |ideal| - |setDifference| |f04qaf| |polyRicDE| |drawComplexVectorField| |latex| - |polygon?| |euclideanNormalForm| |deriv| |inv| |setVariableOrder| - |mindeg| |closedCurve?| |maxrow| |genericLeftNorm| |countRealRoots| - |zeroSquareMatrix| |getOperator| UTS2UP |ground?| |measure2Result| - |exp1| |partialDenominators| |rightRankPolynomial| - |nextIrreduciblePoly| |checkRur| |subResultantsChain| |hue| - |listYoungTableaus| |ground| |set| |regularRepresentation| |rk4qc| - |randomR| |rightMult| |constDsolve| |setRealSteps| |f01qdf| |leftLcm| - |getVariableOrder| |leadingMonomial| |integer?| |iiacos| |readable?| - |explicitEntries?| |rightExtendedGcd| |subSet| |completeEchelonBasis| - |setlast!| |fracPart| |leadingCoefficient| |parameters| - |rationalPower| |gradient| |gramschmidt| - |semiDegreeSubResultantEuclidean| |sinIfCan| |size| |OMreadFile| - |nonLinearPart| |extendIfCan| |makeUnit| |primitiveMonomials| - |optpair| |basisOfLeftAnnihilator| |exprToGenUPS| |s17def| |rootOf| - |digit?| |Nul| |complement| |simplifyExp| |print| |reductum| |f02aff| - |pole?| |wordsForStrongGenerators| |substring?| |mainKernel| |quartic| - |genericRightMinimalPolynomial| |interReduce| |select!| |groebgen| - |resolve| |OMUnknownSymbol?| |extension| |balancedFactorisation| - |imagJ| |factorSquareFreeByRecursion| |taylorRep| |subTriSet?| - |permutationRepresentation| |polynomialZeros| |extensionDegree| - |triangular?| |rootDirectory| |testDim| |curry| |suffix?| - |complexForm| |true| |setPosition| |polyPart| |category| |quasiMonic?| - |fixPredicate| |badValues| |rewriteSetWithReduction| |makeVariable| - |iFTable| |capacity| |makeprod| |domain| |completeHensel| - |numberOfDivisors| |badNum| |principal?| |optional| |leftTraceMatrix| - |s21bbf| |axesColorDefault| |KrullNumber| |rst| |lagrange| - |eigenMatrix| |prefix?| |shrinkable| |dual| |package| |minset| - |remove!| |prime| |scripted?| |showRegion| |insert| |polarCoordinates| - |fi2df| |newReduc| |f02wef| |currentSubProgram| |f02awf| - |bezoutDiscriminant| |groebSolve| |merge| |sizePascalTriangle| |show| - |isAbsolutelyIrreducible?| |setLabelValue| |conjug| |algint| |delay| - |replaceKthElement| |nthFractionalTerm| |yCoordinates| |cAsinh| |ord| - |search| |permutation| |cSech| |polyred| |lepol| |roughUnitIdeal?| - |exists?| |node| |cot2trig| |divisorCascade| |subNodeOf?| - |getConstant| |trace| |lprop| |doublyTransitive?| |outputGeneral| - |duplicates?| |mpsode| |realZeros| |shape| |leftNorm| - |compiledFunction| |conditionsForIdempotents| |lex| |rootSplit| - |continuedFraction| |bringDown| |linGenPos| |rootPower| |solveInField| - |squareTop| |c06fpf| |subNode?| |quickSort| |infix?| - |changeThreshhold| |showAll?| |mvar| |replace| |normDeriv2| - |cyclicGroup| |rewriteIdealWithRemainder| |move| |s01eaf| |readUInt8!| - |mask| |palgintegrate| |OMUnknownCD?| |maxPoints3D| |child?| - |OMsetEncoding| |gcdprim| |schwerpunkt| |linearPart| |eq?| |flatten| - |choosemon| |doubleDisc| |trunc| |biRank| |ksec| |frobenius| - |systemSizeIF| |extractBottom!| |plotPolar| |callForm?| |infRittWu?| - |critM| |critB| |copies| |reduceBasisAtInfinity| |discriminant| - |sncndn| |specialTrigs| |conjugate| |doubleResultant| |isQuotient| - |lazyPquo| |radicalRoots| |lighting| |rarrow| |diagonal| |car| - |double?| |s14aaf| |lazyPremWithDefault| |credPol| |constantKernel| - |minPol| |quatern| |s18aff| |mainVariable| |cosSinInfo| |safeCeiling| - |mergeFactors| |makeViewport3D| |arity| |acscIfCan| |myDegree| - |viewDeltaYDefault| |mergeDifference| |showClipRegion| |surface| - |categoryFrame| |inf| |f02abf| |fill!| |limitedIntegrate| - |rightAlternative?| |quadraticForm| |wordInGenerators| |noKaratsuba| - |directory| |exactQuotient| |stFuncN| |explimitedint| |resultantnaif| - |lazy?| |rootRadius| |lllp| |zeroDimensional?| |dimension| |notelem| - |radicalEigenvector| |universe| |elRow1!| |debug3D| |d01amf| |high| - |height| |units| |nextPrimitivePoly| |log10| |addPoint| - |genericRightNorm| |selectMultiDimensionalRoutines| |LyndonWordsList| - |rk4| |seed| |equation| |composites| |e02aef| |e04mbf| - |unprotectedRemoveRedundantFactors| |primlimitedint| |bitand| |e02daf| - |primitiveElement| |prinb| |generic| |minimize| |color| |chebyshevT| - |upperBound| |OMputEndError| |leaves| |palgLODE| |outerProduct| - |resultantReduit| |bitior| |rationalIfCan| |topPredicate| |routines| - |linear| |basisOfMiddleNucleus| |isPlus| |bottom!| |cross| - |att2Result| |middle| |perfectSqrt| |prevPrime| |repeatUntilLoop| - |mapMatrixIfCan| |twist| |initTable!| |generalizedEigenvectors| - |maxPoints| |macroExpand| |moduleSum| |constantOperator| |iiacoth| - |leftMult| |internalAugment| |OMencodingSGML| |polynomial| - |removeRoughlyRedundantFactorsInPols| |cartesian| |sup| |viewpoint| - |torsionIfCan| |comment| |radPoly| |modularFactor| |f02bjf| |option?| - |collectUnder| |setrest!| |center| |SturmHabichtCoefficients| - |internal?| |before?| |groebner?| |pushucoef| |measure| - |irreducibleFactor| |subspace| |cSec| |cAsec| |singularAtInfinity?| - |truncate| |lowerCase| |minGbasis| |e02bef| |relativeApprox| |mesh| - |rule| |nonQsign| |superscript| |declare| |rk4a| - |generalizedContinuumHypothesisAssumed| |complementaryBasis| |ldf2vmf| - |kroneckerDelta| |isAnd| |rightQuotient| |members| |common| - |lexTriangular| |subtractIfCan| |e01sbf| |s13acf| |OMgetVariable| - |f01rcf| |internalIntegrate| |viewport3D| |length| |karatsubaDivide| - |Ci| |lyndonIfCan| |multiset| |laguerreL| |ptFunc| - |createRandomElement| |tan2trig| |nary?| |groebner| |nullary| - |scripts| |leadingTerm| |OMputEndBVar| |leadingExponent| |ratpart| - |semiIndiceSubResultantEuclidean| |ricDsolve| |Hausdorff| |getOrder| - |elem?| |reflect| |pointColorDefault| |ffactor| - |unrankImproperPartitions1| |lazyVariations| |parabolic| |jacobian| - |exponential| |c05pbf| |matrix| |lfunc| |generalLambert| |unparse| - |fixedPoint| |bivariateSLPEBR| |listBranches| |prepareSubResAlgo| - |addmod| |selectPolynomials| |algebraic?| |expPot| - |createMultiplicationTable| |collectUpper| |extractIndex| - |patternVariable| |setvalue!| |trueEqual| |plus!| |hcrf| |fullDisplay| - |antiCommutator| |localUnquote| |f2df| |complexRoots| |oddlambert| - |var1StepsDefault| |iicos| Y |removeDuplicates!| |e02dff| |midpoint| - |setClosed| |harmonic| |normalizedAssociate| |complexEigenvalues| - |csc2sin| |label| |cycle| |semiResultantEuclidean1| |qPot| - |critpOrder| |exponent| |permutations| |checkForZero| |simpsono| - |goodnessOfFit| |bat1| |rewriteIdealWithHeadRemainder| |lieAlgebra?| - |close!| |taylorQuoByVar| |factorAndSplit| |coord| |c06fqf| - |genericPosition| |symbolIfCan| |doubleFloatFormat| |leftAlternative?| - |clipWithRanges| |f04atf| |mainContent| |tubeRadius| - |lazyResidueClass| |result| |rightCharacteristicPolynomial| - |getDatabase| |whitePoint| |wholeRadix| |logical?| |coerceS| |opeval| - |addMatch| |complete| |getMultiplicationTable| |relerror| |mulmod| - |iipow| |functionIsOscillatory| |setEmpty!| |d01apf| |d02bbf| - |rowEchelon| |numeric| |hdmpToP| |iidprod| |insertMatch| |graeffe| - |powern| |nthFlag| |tubePlot| |s13adf| |rCoord| |radical| |overlabel| - |asechIfCan| |traverse| |radicalOfLeftTraceForm| |vertConcat| - |constructor| |gethi| |showFortranOutputStack| |OMsend| - |gcdcofactprim| |contours| |phiCoord| |algebraicVariables| |coerceL| - |writeUInt8!| |normal01| |bindings| |option| |minimumDegree| - |endSubProgram| |fprindINFO| |symbolTable| |collectQuasiMonic| - |showSummary| |f04asf| |makeYoungTableau| |thenBranch| |OMReadError?| - |equiv| |reify| |endOfFile?| |totolex| |environment| |unravel| - |OMencodingBinary| |setMinPoints| |f04faf| |insert!| |algSplitSimple| - |idealiserMatrix| |tValues| |pushFortranOutputStack| |host| - |getIdentifier| |flexibleArray| |showAttributes| |OMputVariable| - |dioSolve| |torsion?| |makeRecord| |c06ecf| |transcendenceDegree| - |airyBi| |popFortranOutputStack| |makeResult| |LazardQuotient| - |bandedHessian| |adaptive?| |quadratic?| |curryLeft| |f02xef| - |stoseInvertibleSetsqfreg| |outputAsFortran| |computeBasis| |sub| - |meatAxe| |elliptic?| |f02bbf| |name| |parents| - |wordInStrongGenerators| |orthonormalBasis| |brillhartTrials| - |henselFact| |laguerre| |pointData| |rightTrim| |printInfo!| - |LowTriBddDenomInv| |graphs| |body| |definingInequation| |intensity| - |mainMonomial| |identity| |mapCoef| |moebiusMu| - |resetAttributeButtons| |leftTrim| |fTable| |listOfLists| |null| - |factorSquareFree| |legendreP| |compactFraction| |sturmSequence| - |cAcoth| |stack| |outputBinaryFile| |localIntegralBasis| - |OMencodingXML| |pureLex| |f02aaf| |not| - |stiffnessAndStabilityOfODEIF| |collect| |mainVariables| |iisqrt3| BY - |prinshINFO| |palgLODE0| |algintegrate| |setref| |functorData| |and| - |basis| |localReal?| |branchIfCan| |cCsch| |outputList| |exQuo| - |fixedPointExquo| |semiResultantEuclidean2| |degree| GF2FG |or| - |smith| |paren| |symmetricDifference| |OMopenFile| |atoms| - |functionIsContinuousAtEndPoints| |linearDependenceOverZ| - |alternative?| |xor| |semicolonSeparate| |cyclicEntries| |sinh2csch| - |f01ref| |addBadValue| |nand| |ocf2ocdf| |nodeOf?| |e02agf| - |signature| |dim| |leviCivitaSymbol| |case| |any?| |iteratedInitials| - |pointPlot| |assert| |selectfirst| |nextLatticePermutation| |edf2ef| - |port| |subscript| |binomThmExpt| |possiblyNewVariety?| |pattern| - |squareFreeLexTriangular| |Zero| |inspect| |createNormalPoly| - |triangulate| |makeFR| |cCoth| |f01bsf| |whatInfinity| |gcdcofact| - |llprop| |One| |innerint| |edf2df| |nextItem| |knownInfBasis| - |swapRows!| |genericRightTrace| |norm| |t| |viewport2D| |optional?| - |rdHack1| |shift| |infLex?| NOT |outputMeasure| |eulerPhi| |cAcosh| - |polCase| |output| |removeRedundantFactorsInContents| |redPo| - |getMultiplicationMatrix| |writeLine!| |f02agf| |mathieu22| - |perfectSquare?| |leader| OR |createZechTable| |vector| |curryRight| - |imagE| |cCos| |meshFun2Var| |OMgetAttr| |besselK| |even?| |rational?| - |message| |nextPartition| AND |cRationalPower| |differentiate| - |setTopPredicate| |getOperands| |d02gbf| |makeViewport2D| |conical| - |sec2cos| |putGraph| |realSolve| |elRow2!| - |generalizedContinuumHypothesisAssumed?| |initiallyReduced?| - |chainSubResultants| |midpoints| |f01brf| |fortran| |atanh| |weight| - |totalLex| |putColorInfo| |makeEq| |initials| |elt| |idealiser| - |unitNormal| |sqfree| |minus!| |mapmult| |acoth| |PollardSmallFactor| - |queue| |f04mbf| |OMserve| |nthFactor| |is?| |symmetricProduct| - |leftOne| |alternatingGroup| |Aleph| |FormatArabic| |asech| |level| - |iiacsch| |getCurve| |graphImage| |splitNodeOf!| |direction| - |weierstrass| |lastSubResultantEuclidean| |increase| |twoFactor| - |adjoint| |mindegTerm| |colorFunction| |drawCurves| |presuper| - |setScreenResolution3D| |LyndonWordsList1| |wrregime| |elseBranch| - |rightTrace| |areEquivalent?| |rightExactQuotient| |minPoints| - |multiple| |cons| |copyInto!| |c06ekf| |f2st| |bumprow| |s19aaf| - |removeRedundantFactorsInPols| |monomials| |imagj| |chiSquare| - |recolor| |OMputAtp| |applyQuote| |cond| |position!| - |removeSquaresIfCan| |mathieu23| |zoom| |characteristicPolynomial| - |radicalSimplify| |retract| |integralDerivationMatrix| |elliptic| - |rationalFunction| |trapezoidal| |chiSquare1| |hessian| |subset?| - |ldf2lst| |representationType| |monomRDEsys| |showTheRoutinesTable| - |approxNthRoot| |OMputApp| |showArrayValues| |getProperty| |sh| - |cTanh| |f02akf| |OMgetApp| |list?| |s17dhf| |primes| |second| |less?| - * |member?| |applyRules| |aLinear| |exprToXXP| |conditionP| |ruleset| - |domainTemplate| |bits| |monomialIntPoly| |iExquo| |getRef| - |numberOfComputedEntries| |diophantineSystem| |third| - |stronglyReduced?| |dfRange| |firstNumer| |basisOfRightNucleus| - |bumptab1| |solveLinear| |moreAlgebraic?| |numberOfIrreduciblePoly| - |ip4Address| |hexDigit?| |cAtanh| - |rewriteIdealWithQuasiMonicGenerators| |nextNormalPrimitivePoly| - |deleteRoutine!| |minPoly| |makeCos| |source| |void| |showAllElements| - |expandPower| |generalPosition| |f01maf| |distFact| |elements| - |extendedIntegrate| = |limit| |removeZeroes| |mapUnivariate| |euler| - |suchThat| |primintfldpoly| |primitivePart!| |acosIfCan| |lazyPrem| - |nthr| |coth2tanh| |coerceP| |coefficients| |s19abf| |diagonals| - |empty?| |script| |dmp2rfi| |setTex!| |push!| |extractSplittingLeaf| - |acoshIfCan| |pair?| |df2mf| < |hMonic| |upperCase| - |combineFeatureCompatibility| |pushdown| |plusInfinity| |whileLoop| - |s19adf| |eisensteinIrreducible?| |d01aqf| |noLinearFactor?| |mesh?| - |char| > |red| |rotatex| |lazyGintegrate| |getButtonValue| |Ei| - |systemCommand| |minusInfinity| |f02ajf| |selectODEIVPRoutines| - |initializeGroupForWordProblem| |atanIfCan| |sinhcosh| |deepCopy| - |clipBoolean| |duplicates| <= |cAcsch| |d02ejf| |OMgetBVar| |tex| - |target| |elementary| |enterInCache| |iCompose| |getPickedPoints| - |imagi| |lexico| >= |ode| |zeroOf| |bytes| |setImagSteps| - |setEpilogue!| |basisOfRightAnnihilator| |linearAssociatedOrder| - |conjunction| |OMputString| |coerceImages| |normalise| |unexpand| - |expr| |stirling1| |ramified?| RF2UTS |clearTable!| |taylorIfCan| - |setClipValue| |tanQ| |stopMusserTrials| |pow| |linearPolynomials| - |normal| |rangePascalTriangle| |setPredicates| |OMputObject| |s21bcf| - |laurentRep| |mkPrim| |isList| |OMlistCDs| |product| |OMgetSymbol| - |rational| |functionIsFracPolynomial?| |OMgetEndBVar| |finiteBound| + - |isPower| |compose| |pack!| |leftFactor| |type| |binaryTournament| - |ScanRoman| |maxColIndex| |polygamma| |sort!| |OMgetEndAttr| |edf2fi| - |point| - |float| |trim| |shiftLeft| |setIntersection| |s21bdf| - |mapUp!| |firstDenom| |differentialVariables| |d01gbf| |vspace| - |variable| |firstUncouplingMatrix| / |rightDiscriminant| |cExp| - |children| |simplifyLog| |dualSignature| |generalSqFr| - |factorSFBRlcUnit| |terms| |round| |iterators| - |branchPointAtInfinity?| |rightRegularRepresentation| - |indiceSubResultantEuclidean| |leftRegularRepresentation| |asimpson| - |variable?| |OMsupportsCD?| |supRittWu?| |rationalPoints| - |triangularSystems| |partialQuotients| |indiceSubResultant| |series| - |e04gcf| |mdeg| |pushdterm| |changeBase| |bitLength| |subResultantGcd| - |ipow| |denomLODE| |slex| |cyclic| |index?| |qqq| |reverse!| - |toseLastSubResultant| |hypergeometric0F1| |OMgetEndError| |cSinh| - |tab1| |pmintegrate| |id| |setRow!| |dictionary| |simplifyPower| - |rroot| |value| |subresultantVector| |cCosh| |multiple?| |Frobenius| - |symbol| |wholePart| |OMencodingUnknown| |lo| |denominators| |iiacosh| - |mainCoefficients| |associatedEquations| |leadingIdeal| |top!| - |zerosOf| |scan| |expression| |numberOfCycles| |singular?| |min| - |modulus| |uncouplingMatrices| |musserTrials| |setUnion| |symFunc| - |binding| |nthCoef| |integer| |nextSublist| |isEquiv| |zero?| - |quoByVar| |negative?| GE |factorials| |monicLeftDivide| - |rationalApproximation| |removeZero| |rightDivide| |minColIndex| - |factorFraction| |child| |shufflein| |solveRetract| |reopen!| GT - |basisOfLeftNucleus| |selectSumOfSquaresRoutines| |primeFrobenius| - |characteristic| |insertBottom!| |stFunc1| |multinomial| |pointColor| - |stopTableInvSet!| |OMwrite| LE |e02gaf| |karatsuba| |iicsch| - |symmetricPower| |leftZero| |graphState| |listOfMonoms| |nlde| - |setPrologue!| |OMgetError| LT |leadingSupport| |substitute| - |jacobiIdentity?| |OMputEndObject| |outputSpacing| |bounds| - |nextPrimitiveNormalPoly| |infieldint| |df2st| |associatedSystem| - |gderiv| |computePowers| |setOfMinN| |internalZeroSetSplit| |mirror| - |pascalTriangle| |mappingAst| |d02bhf| |selectIntegrationRoutines| - |sdf2lst| |iifact| |nthExponent| |redpps| |headRemainder| |zeroDim?| - |Beta| |leastPower| |keys| |OMputFloat| |monicRightDivide| |split!| - |critBonD| |karatsubaOnce| |balancedBinaryTree| |entries| - |padicallyExpand| |totalGroebner| |iicsc| |acotIfCan| |cLog| |isOp| - |ParCond| |complexLimit| |diagonalProduct| |makeSketch| |diagonal?| - |scopes| |solveLinearPolynomialEquation| |janko2| |monicModulo| - |index| |htrigs| |OMputEndAttr| |symmetric?| |subQuasiComponent?| - |divergence| |light| |eigenvalues| |primextendedint| |mat| - |antiCommutative?| |basisOfLeftNucloid| |headReduce| - |halfExtendedSubResultantGcd2| |cycleEntry| |constantOpIfCan| - |fortranLinkerArgs| |sumOfKthPowerDivisors| |prepareDecompose| - |rowEch| |rischDE| |reorder| |reducedForm| |clearFortranOutputStack| - |s20acf| |inrootof| |fortranInteger| |quote| |factorset| |every?| - |pair| |rangeIsFinite| |tree| |open| |computeInt| |chineseRemainder| - |key?| |LyndonCoordinates| |bright| |cycleTail| |clipSurface| |e01sff| - |dequeue!| |vconcat| |backOldPos| |increasePrecision| |e02akf| - |normalize| |lazyPseudoQuotient| |readInt32!| |outputArgs| - |tracePowMod| |iiacsc| |sts2stst| |interactiveEnv| |extendedEuclidean| - |gcdPrimitive| |mapBivariate| |minIndex| |eval| |unvectorise| - |lowerCase!| |commaSeparate| |tensorProduct| |moduloP| - |separateDegrees| |innerSolve| |blankSeparate| |normalDeriv| - |reducedDiscriminant| |heapSort| |chebyshevU| |digits| |basisOfCenter| - |OMgetString| |operations| |lastSubResultantElseSplit| |ratPoly| - |numericalOptimization| |modTree| |OMgetEndAtp| |SturmHabichtMultiple| - |showTheSymbolTable| |discriminantEuclidean| |numFunEvals3D| - |qinterval| |moebius| |setErrorBound| |iomode| |interpret| |error| - |element?| |cTan| |varselect| |fmecg| |algebraicSort| - |complexElementary| |rightUnits| |countRealRootsMultiple| |denomRicDE| - |OMgetEndBind| |ParCondList| |patternMatch| |sinhIfCan| - |gcdPolynomial| |numerator| |polygon| |sizeLess?| |sylvesterSequence| - |optimize| |intcompBasis| |leftRecip| |adaptive| |hspace| |precision| - |setPoly| |function| |factorByRecursion| |isNot| |completeSmith| - |plenaryPower| |nthRootIfCan| |createIrreduciblePoly| |FormatRoman| - |tan2cot| |limitPlus| |expIfCan| |shiftRight| |optAttributes| - |constantRight| |s17aff| |support| |selectFiniteRoutines| - |decomposeFunc| |npcoef| |integralBasis| |parseString| |width| - |elaborateFile| |df2ef| |principalIdeal| |basisOfCommutingElements| - |palginfieldint| |showTheFTable| |univariate?| |rules| |double| - |littleEndian| |createPrimitiveElement| |lfinfieldint| |generic?| - |front| |inverse| |odd?| |qualifier| |nextPrime| |coshIfCan| |uniform| - |normal?| |rightUnit| |indicialEquation| |integerBound| |genus| - |fglmIfCan| |e01bhf| |call| |integralMatrix| |charthRoot| |zeroMatrix| - |signAround| |internalLastSubResultant| |coerceListOfPairs| - |minPoints3D| |irVar| |horizConcat| |subresultantSequence| |argscript| - |isImplies| |reciprocalPolynomial| |numberOfFractionalTerms| - |ratDenom| |sample| |checkPrecision| |mr| |bothWays| |cyclotomic| - |readByte!| |bitCoef| |realRoots| |toseSquareFreePart| |baseRDE| - |upDateBranches| |exportedOperators| |Is| |range| |laurentIfCan| - |iicot| |headReduced?| |mainMonomials| |lastSubResultant| - |skewSFunction| |extractIfCan| |prod| |coleman| |subst| |rem| - |numericIfCan| |setAdaptive3D| |bipolarCylindrical| |OMlistSymbols| - |doubleComplex?| |find| |shallowCopy| |tube| |po| |roughSubIdeal?| - |tryFunctionalDecomposition| |quo| |removeConstantTerm| |bernoulliB| - |internalSubPolSet?| |squareFreePart| |declare!| |varList| |axes| - |useEisensteinCriterion?| |stoseSquareFreePart| |cycleRagits| - |coHeight| |digamma| |open?| |unary?| |split| |equality| |lcm| - |leastMonomial| |s20adf| |closedCurve| |has?| |seriesToOutputForm| - |getProperties| |div| |delete| |elColumn2!| |makeTerm| |frst| |cAsin| - |iisin| |number?| |tRange| |invmod| UP2UTS |exquo| |e02bcf| - |stoseIntegralLastSubResultant| |iibinom| |bit?| |lyndon| |any| - |append| |status| |solveLinearPolynomialEquationByFractions| - |viewThetaDefault| |removeRoughlyRedundantFactorsInContents| - |viewPhiDefault| ~= |bfEntry| |leftGcd| |cAcot| |dmpToHdmp| - |factorOfDegree| |iiasin| |powmod| |intChoose| |gcd| |divideIfCan| - |useSingleFactorBound?| |symbol?| |objects| |#| |setprevious!| - |integers| |Si| |setMinPoints3D| |algebraicOf| |processTemplate| - |convergents| |showIntensityFunctions| |false| |eyeDistance| - |sumOfSquares| |jordanAdmissible?| |base| ~ |alternating| |compound?| - |halfExtendedResultant1| |create3Space| |univariateSolve| - |groebnerIdeal| |vedf2vef| |rootOfIrreduciblePoly| - |resetVariableOrder| |dominantTerm| |ravel| |octon| |newTypeLists| - |leftUnits| |getGoodPrime| |UpTriBddDenomInv| |segment| - |rootNormalize| |rightTraceMatrix| |divide| |basisOfNucleus| - |monomial?| |init| |f04axf| |supersub| |rotate!| |unmakeSUP| |reshape| - |rombergo| |maximumExponent| |findCycle| |addiag| |distdfact| - |maxRowIndex| |/\\| |useSingleFactorBound| |ScanArabic| |iicosh| - |monic?| |determinant| |OMgetBind| |fortranComplex| |stFunc2| - |realEigenvectors| |plot| |\\/| |s15adf| |generalInfiniteProduct| - |pointLists| |normalDenom| |clearTheFTable| |apply| |coerce| - |mapUnivariateIfCan| |PDESolve| |logIfCan| |absolutelyIrreducible?| - |quasiMonicPolynomials| |s17agf| |extractPoint| |setFieldInfo| - |getGraph| |empty| |first| |construct| |permutationGroup| - |commutative?| |tanAn| |pastel| |setStatus!| - |univariatePolynomialsGcds| |var2StepsDefault| |pushuconst| |redmat| - |contract| |rest| |perfectNthRoot| |build| |nullSpace| |reindex| - |makeSeries| |summation| |reducedContinuedFraction| |socf2socdf| - |plus| |cschIfCan| |parametric?| |update| |OMopenString| |palgRDE0| - |c05nbf| |comparison| |OMputSymbol| |rootSimp| |scalarTypeOf| - |OMgetObject| |csch2sinh| |asinIfCan| |cAcos| |s17dcf| |listLoops| - |exponentialOrder| |quadraticNorm| |matrixGcd| |argumentListOf| - |block| |shade| |spherical| |infix| |cAtan| |mathieu12| |HenselLift| - |setOrder| |changeVar| |concat!| |factorList| |monicCompleteDecompose| - |writable?| |times| |complexNumericIfCan| |integralBasisAtInfinity| - |quotedOperators| |expenseOfEvaluationIF| |initiallyReduce| |previous| - |delta| |permanent| |stoseInvertible?reg| |sayLength| - |squareFreePolynomial| |morphism| |typeForm| |unitNormalize| |overlap| - |intersect| |fractRadix| |autoReduced?| |repeating?| |fortranTypeOf| - |implies| |composite| |ramifiedAtInfinity?| |position| |makeSin| - |computeCycleEntry| |predicates| |bezoutMatrix| |internalInfRittWu?| - |fortranReal| |tubeRadiusDefault| |shallowExpand| |zeroSetSplit| - |indices| |datalist| |lift| |const| |recip| |reducedSystem| - |ScanFloatIgnoreSpacesIfCan| |leftReducedSystem| |addMatchRestricted| - |randomLC| |binomial| |box| |e01bgf| |degreeSubResultantEuclidean| - |LazardQuotient2| |monom| |reduce| |s18aef| |printStats!| |palgint| - |clearDenominator| F2FG |quasiAlgebraicSet| |redPol| |exactQuotient!| - |solve1| |c06eaf| |voidMode| |loadNativeModule| |cylindrical| - |linearlyDependentOverZ?| |rischDEsys| |geometric| |changeNameToObjf| - |d01anf| |d01bbf| |acschIfCan| |internalSubQuasiComponent?| |iiperm| - |primPartElseUnitCanonical| |cyclotomicFactorization| |OMgetInteger| - |extractProperty| |hconcat| |ode2| |e02ddf| |acothIfCan| - |isConnected?| |hex| |semiDiscriminantEuclidean| - |brillhartIrreducible?| |linearAssociatedLog| |OMread| - |leftExtendedGcd| |rightLcm| |subCase?| |factorsOfDegree| |order| - |lambda| |matrixConcat3D| |padicFraction| |iidsum| |maxint| |padecf| - |rank| |insertTop!| |clipParametric| |createLowComplexityNormalBasis| - |readInt16!| |semiSubResultantGcdEuclidean2| |boundOfCauchy| - |roughBase?| |f07fef| |OMconnInDevice| |e01bff| |log| - |algebraicDecompose| |inverseIntegralMatrix| |cothIfCan| |s17adf| - |abelianGroup| |setProperty| |screenResolution3D| |setsubMatrix!| - |linear?| |logpart| |setelt| |integral?| |setFormula!| |meshPar1Var| - |inGroundField?| |squareFree| |c06gcf| |zag| |nonSingularModel| - |vectorise| |mainValue| |tanh2coth| |iiexp| |node?| |getMatch| - |SFunction| |s17ajf| |createPrimitivePoly| - |removeIrreducibleRedundantFactors| |tubePoints| |imagI| - |binaryFunction| |kovacic| |removeRoughlyRedundantFactorsInPol| - |setValue!| |rectangularMatrix| |magnitude| |HermiteIntegrate| - |OMgetType| |kmax| |dihedralGroup| |readLine!| |fixedPoints| |augment| - |resetNew| |overbar| |radicalSolve| |iprint| |yCoord| |rootProduct| - |printHeader| |eigenvectors| |hasSolution?| |stronglyReduce| - |numberOfMonomials| |f01mcf| |approximants| |sizeMultiplication| - |upperCase?| |pmComplexintegrate| |exteriorDifferential| |cyclic?| - |lexGroebner| |byte| |lists| |powerAssociative?| - |multiplyCoefficients| |setButtonValue| |OMputAttr| |leftQuotient| - |strongGenerators| |gensym| |interpretString| - |irreducibleRepresentation| |perspective| |part?| |innerEigenvectors| - |useNagFunctions| |componentUpperBound| |infiniteProduct| |coth2trigh| - |erf| |flexible?| |genericLeftTraceForm| |setchildren!| |getStream| - |zero| |cycleElt| |prime?| |iiasech| |reverse| - |getSyntaxFormsFromFile| |evenlambert| |bezoutResultant| - |expandTrigProducts| |create| |aQuadratic| |rightRemainder| - |mightHaveRoots| |power!| |isTimes| |weakBiRank| |retractable?| - |toScale| |besselY| |li| |certainlySubVariety?| |dequeue| |d01akf| - |powers| |e01baf| |And| |powerSum| |integralRepresents| |character?| - |OMgetEndApp| |unknown| |clearTheIFTable| |dilog| |sparsityIF| - |validExponential| |eof?| |hitherPlane| |Or| |isAtom| |component| - |baseRDEsys| |contains?| |pushup| |var1Steps| |xn| |sin| |central?| - |mapExponents| |pseudoRemainder| |setMaxPoints3D| |Not| |schema| - |primlimintfrac| |screenResolution| |stosePrepareSubResAlgo| - |expenseOfEvaluation| |rename| |cos| |lfextlimint| |writeBytes!| - |remainder| |atanhIfCan| |startTableInvSet!| |int| |uniform01| |pol| - |removeSuperfluousCases| |complexSolve| |setelt!| |tan| - |totalDifferential| |Gamma| |f07fdf| |pleskenSplit| |leftRank| |sign| - |splitSquarefree| |numberOfComposites| |cot| |deepestInitial| - |compdegd| |c06ebf| |cCot| |ddFact| |eigenvector| |d01ajf| |read!| - |completeHermite| |sec| |region| |topFortranOutputStack| - |numberOfImproperPartitions| |leftDivide| |wholeRagits| |mapGen| - |f04jgf| |romberg| |hasoln| |csc| |quadratic| |createNormalElement| - |aromberg| |cPower| |generateIrredPoly| |univariatePolynomials| - |prologue| |asin| |removeCosSq| |test| |lowerPolynomial| |evaluate| - |shanksDiscLogAlgorithm| |root| |module| |remove| |operation| - |fortranCompilerName| |positiveRemainder| |constantIfCan| |acos| - |tablePow| |constantCoefficientRicDE| |viewPosDefault| |readBytes!| - |invertibleSet| |OMputEndAtp| |calcRanges| |pseudoDivide| - |unitsColorDefault| |atan| |oneDimensionalArray| |sn| |fortranLiteral| - |ScanFloatIgnoreSpaces| |parts| |currentScope| |f07adf| |last| - |createGenericMatrix| |standardBasisOfCyclicSubmodule| |arbitrary| - |bag| |acot| |anfactor| |normalElement| |assoc| |monomRDE| |decrease| - |separant| |pointColorPalette| |tanintegrate| |asec| |headAst| - |minimumExponent| |mainPrimitivePart| |condition| |tower| - |lineColorDefault| |ridHack1| |OMconnOutDevice| |isOpen?| |derivative| - |getlo| |acsc| |leftUnit| |ranges| |sincos| |pToHdmp| |byteBuffer| - |style| |mainVariable?| |prefix| |integral| |cdr| |sinh| - |genericRightTraceForm| |stoseLastSubResultant| |makingStats?| - |d01fcf| |trace2PowMod| |numerators| |e02adf| |cosh| |appendPoint| - |selectAndPolynomials| |root?| |minRowIndex| |d02kef| |d01asf| - |makeop| |elaborate| |reduceByQuasiMonic| |obj| |tanh| |minrank| |eq| - |primPartElseUnitCanonical!| |youngDiagram| |signatureAst| - |lSpaceBasis| |lflimitedint| |mainSquareFreePart| |antiAssociative?| - |repSq| |cache| |coth| |iicoth| |iter| |s18acf| |presub| - |sylvesterMatrix| |complexNumeric| |rightRank| |viewDeltaXDefault| - |expintegrate| |squareFreeFactors| |pToDmp| |isOr| |sech| |leftPower| - |nullary?| |polar| |recur| |relationsIdeal| |patternMatchTimes| - |disjunction| |allRootsOf| |factor1| |quasiRegular?| |csch| |interval| - |fractionFreeGauss!| |nativeModuleExtension| |purelyTranscendental?| - |primeFactor| |insertionSort!| |lllip| |unaryFunction| |f01rdf| - |asinh| |inverseLaplace| |consnewpol| |e01daf| |OMputEndApp| - |SturmHabichtSequence| |normalizeAtInfinity| |particularSolution| - |corrPoly| |difference| |expt| |pointSizeDefault| |acosh| - |scalarMatrix| |partition| |getMeasure| |simpleBounds?| |zeroVector| - |aspFilename| |c06fuf| |viewWriteAvailable| |safetyMargin| |refine| - |zeroSetSplitIntoTriangularSystems| |approxSqrt| |positiveSolve| - |coordinates| |OMreadStr| |enqueue!| |dot| |countable?| |LiePolyIfCan| - |droot| |exp| |imaginary| |exptMod| |symmetricTensors| |controlPanel| - |iflist2Result| |nextSubsetGray| |s17ahf| |removeRedundantFactors| - |e04naf| |e02bbf| |graphCurves| |nextColeman| |map| |rotatey| - |clipPointsDefault| |semiLastSubResultantEuclidean| - |numberOfOperations| |lazyIrreducibleFactors| |coefChoose| - |defineProperty| |pomopo!| |genericLeftMinimalPolynomial| - |constantLeft| |table| |generator| |cscIfCan| |iisec| |nthRoot| - |irForm| |limitedint| |nil| |computeCycleLength| |leftFactorIfCan| - |normalForm| |cyclicParents| |thetaCoord| |new| |yellow| - |structuralConstants| |abs| |expintfldpoly| |getBadValues| |heap| - |points| |compile| |derivationCoordinates| |satisfy?| |messagePrint| - |qfactor| |typeList| |inputBinaryFile| |antisymmetric?| - |lazyPseudoRemainder| |setAttributeButtonStep| |setleft!| |cCsc| - |integrate| |virtualDegree| |dimensions| |charClass| |hasHi| - |approximate| |rootsOf| |iiasec| |stop| |splitDenominator| - |viewSizeDefault| |convert| |rootBound| |setLength!| |s13aaf| - |numberOfHues| |makeCrit| |complex| |exponents| |intPatternMatch| - |resultantReduitEuclidean| |beauzamyBound| |cup| |outputFixed| - |identityMatrix| |leftTrace| |interpolate| - |stoseInternalLastSubResultant| |singleFactorBound| |linSolve| |crest| - |branchPoint?| |trailingCoefficient| |leftExactQuotient| - |partialNumerators| |unitCanonical| |failed| |invertIfCan| - |separateFactors| |orbits| |d03faf| |bombieriNorm| |f04adf| |column| - |exprHasLogarithmicWeights| |Vectorise| |UnVectorise| |wreath| |rk4f| - |e02ajf| |contractSolve| |numberOfPrimitivePoly| |evenInfiniteProduct| - |factors| |extendedint| |OMmakeConn| |viewDefaults| |transcendent?| - |leftMinimalPolynomial| |incr| |c06gsf| |hermite| |scale| - |basisOfCentroid| |df2fi| |factorial| |edf2efi| |palgRDE| |lintgcd| - |hi| |setProperties| |deepestTail| |sin2csc| |rspace| |inverseColeman| - |pseudoQuotient| |floor| |transcendentalDecompose| |iisqrt2| |left| - |OMclose| |bivariate?| |squareMatrix| |degreePartition| - |unrankImproperPartitions0| |setScreenResolution| |d03eef| - |currentCategoryFrame| |radicalEigenvectors| |right| |string?| - |figureUnits| |clearTheSymbolTable| |tanh2trigh| |multisect| - |trivialIdeal?| |ODESolve| |constant?| |green| |iisinh| |s17dgf| - |prem| |setnext!| |solve| |size?| |cap| |tanIfCan| |log2| - |extractTop!| |scanOneDimSubspaces| |neglist| |xCoord| |qelt| - |readLineIfCan!| |hostByteOrder| |RittWuCompare| |hostPlatform| - |commonDenominator| |qsetelt| |s14abf| |maxIndex| |generators| - |entry?| |laplace| |homogeneous?| |rotatez| |initial| |dn| - |GospersMethod| |iroot| |returnTypeOf| |atrapezoidal| |OMgetFloat| - |xRange| |lowerBound| |next| |factorPolynomial| |f02axf| - |OMputInteger| |writeByte!| |key| |chvar| |readIfCan!| |setCondition!| - |numberOfVariables| |yRange| |separate| |quasiRegular| |hyperelliptic| - |scaleRoots| |An| |c05adf| |d02cjf| |mainCharacterization| - |generalTwoFactor| |zRange| |low| |parabolicCylindrical| - |sumOfDivisors| |fixedDivisor| |divideExponents| |filename| |mkcomm| - |decompose| |isMult| |denominator| |map!| |lifting| |multMonom| - |totalDegree| |merge!| |shiftRoots| |qsetelt!| |pdf2ef| |resultant| - |cfirst| |c06frf| |diff| |leftScalarTimes!| |rightRecip| |poisson| - |rationalPoint?| |parse| |rdregime| |halfExtendedResultant2| |ref| - |unit| |cycleSplit!| |operators| |cyclicEqual?| |code| |parametersOf| - |check| |generate| |associative?| |arrayStack| |toseInvertible?| - |swap| |c02aff| |regime| |identitySquareMatrix| |polyRDE| - |usingTable?| |sPol| |alphabetic?| |antisymmetricTensors| - |prolateSpheroidal| |getZechTable| |parent| |leftRankPolynomial| - |content| |tableForDiscreteLogarithm| |incrementBy| |dAndcExp| - |enumerate| |outputForm| |rightOne| |cAsech| |radix| |changeName| - |irDef| |OMputBVar| |tryFunctionalDecomposition?| |partitions| - |c06gqf| |e02dcf| |d03edf| |acsch| |unknownEndian| |LiePoly| |imagk| - |returnType!| |resultantEuclidean| |ode1| |printInfo| |oddintegers| - |bracket| |cyclicSubmodule| |lfextendedint| |attributeData| - |modularGcdPrimitive| |e02ahf| |exponential1| |goodPoint| |float?| - |palglimint| |diagonalMatrix| |generalizedEigenvector| |mkAnswer| - |orbit| |startTable!| |mainExpression| - |inverseIntegralMatrixAtInfinity| |nil?| |copy!| |Lazard2| - |quotientByP| |epilogue| |resetBadValues| |options| |finiteBasis| - |meshPar2Var| |subResultantGcdEuclidean| |preprocess| |tail| - |iterationVar| |typeLists| |dom| |laplacian| |complexEigenvectors| - |normFactors| |totalfract| |localAbs| |trapezoidalo| |square?| - |primintegrate| |selectPDERoutines| |arg1| |binaryTree| |entry| |over| - |postfix| |cyclicCopy| |e02bdf| |s17akf| |nil| |infinite| + |Record| |Union| |stop| |sup| |nextSubsetGray| |leftTrim| |rk4qc| + |graphState| |addBadValue| |dihedralGroup| |resetBadValues| + |stopTableGcd!| |setleaves!| |number?| |viewpoint| |s17ahf| + |listOfMonoms| |randomR| |nand| |readLine!| |finiteBasis| + |testModulus| |torsionIfCan| |tRange| |removeRedundantFactors| + |rightMult| |nlde| |ocf2ocdf| |fixedPoints| |meshPar2Var| |push| + |radPoly| |invmod| |e04naf| |constDsolve| |setPrologue!| |augment| + |nodeOf?| |subResultantGcdEuclidean| |modularFactor| |invertible?| + |mantissa| UP2UTS |e02bbf| |setRealSteps| |OMgetError| |e02agf| + |resetNew| |preprocess| |irreducible?| |e02bcf| |f02bjf| + |complexNumeric| |graphCurves| |leadingSupport| |f01qdf| + |leviCivitaSymbol| |overbar| |iterationVar| |eulerE| |option?| + |stoseIntegralLastSubResultant| |nextColeman| |substitute| |leftLcm| + |any?| |radicalSolve| |typeLists| |iibinom| |iiacot| |kernels| + |collectUnder| |rotatey| |jacobiIdentity?| |getVariableOrder| |iprint| + |iteratedInitials| |laplacian| |bit?| |loopPoints| |operator| + |setrest!| |clipPointsDefault| |OMputEndObject| |integer?| |pointPlot| + |yCoord| |complexEigenvectors| |swapColumns!| |lyndon| + |SturmHabichtCoefficients| |semiLastSubResultantEuclidean| |iiacos| + |outputSpacing| |rootProduct| |selectfirst| |normFactors| |commutator| + |univariate| |varList| |status| |internal?| |numberOfOperations| + |arg1| |readable?| |bounds| |nextLatticePermutation| |printHeader| + |totalfract| |zCoord| |before?| + |solveLinearPolynomialEquationByFractions| |arg2| + |lazyIrreducibleFactors| |nextPrimitiveNormalPoly| |explicitEntries?| + |eigenvectors| |edf2ef| |localAbs| Y |unit?| |groebner?| + |viewThetaDefault| |coefChoose| |infieldint| |rightExtendedGcd| + |hasSolution?| |subscript| |trapezoidalo| |pushucoef| |f02aef| + |removeRoughlyRedundantFactorsInContents| |factor| |conditions| + |defineProperty| |df2st| |subSet| |binomThmExpt| |stronglyReduce| + |square?| |complex?| |measure| |sqrt| |viewPhiDefault| |pomopo!| + |match| |associatedSystem| |completeEchelonBasis| |numberOfMonomials| + |possiblyNewVariety?| |primintegrate| |bfEntry| |withPredicates| + |irreducibleFactor| |real| |genericLeftMinimalPolynomial| + |squareFreeLexTriangular| |gderiv| |setlast!| |f01mcf| |tree| + |selectPDERoutines| |physicalLength!| |leftGcd| |imag| |subspace| + |constantLeft| |fracPart| |computePowers| |inspect| |approximants| + |binaryTree| |directProduct| |radicalEigenvalues| |cAcot| |cSec| + |cscIfCan| |setOfMinN| |rationalPower| |sizeMultiplication| + |createNormalPoly| |over| |showScalarValues| |options| |cAsec| + |dmpToHdmp| |iisec| |gradient| |internalZeroSetSplit| |upperCase?| + |triangulate| |postfix| |singularAtInfinity?| |nullity| + |factorOfDegree| |brace| |nthRoot| |gramschmidt| |mirror| |makeFR| + |pmComplexintegrate| |cyclicCopy| |iiasin| |fortranDouble| |destruct| + |truncate| |irForm| |pascalTriangle| |semiDegreeSubResultantEuclidean| + |exteriorDifferential| |cCoth| |e02bdf| |f01qcf| |string| |powmod| + |lowerCase| |limitedint| |mappingAst| |sinIfCan| |f01bsf| |cyclic?| + |s17akf| |iiatanh| |minGbasis| |intChoose| |computeCycleLength| + |d02bhf| |OMreadFile| |whatInfinity| |lexGroebner| |macroExpand| + |plus| |outputAsScript| |e02bef| |divideIfCan| |leftFactorIfCan| + |convert| |nonLinearPart| |selectIntegrationRoutines| + |powerAssociative?| |gcdcofact| |useSingleFactorBound?| |inHallBasis?| + |monomial| |relativeApprox| |normalForm| |sdf2lst| |extendIfCan| + |llprop| |multiplyCoefficients| |gbasis| |ptree| |multivariate| + |symbol?| |mesh| |cyclicParents| |setButtonValue| |iifact| |makeUnit| + |innerint| |flatten| |setprevious!| |symmetricRemainder| |times| + |variables| |nonQsign| |thetaCoord| |nthExponent| |optpair| |edf2df| + |OMputAttr| |algebraicCoefficients?| |integers| |superscript| |yellow| + |basisOfLeftAnnihilator| |redpps| |close| |leftQuotient| |nextItem| + |e02baf| |Si| |rk4a| |structuralConstants| |exprToGenUPS| + |headRemainder| |knownInfBasis| |strongGenerators| |raisePolynomial| + |generalizedContinuumHypothesisAssumed| |setMinPoints3D| |abs| + |zeroDim?| |s17def| |display| |gensym| |swapRows!| |expr| + |encodingDirectory| |monom| |complementaryBasis| |algebraicOf| + |expintfldpoly| |rootOf| |Beta| |genericRightTrace| |interpretString| + |ldf2vmf| |integralCoordinates| |processTemplate| |taylor| + |getBadValues| |digit?| |leastPower| |irreducibleRepresentation| + |norm| |kroneckerDelta| |palgextint0| |convergents| |laurent| |heap| + |Nul| |OMputFloat| |viewport2D| |perspective| |common| + |showIntensityFunctions| |isAnd| |puiseux| |points| |complement| + |monicRightDivide| |optional?| |part?| |variable| |real?| + |rightQuotient| |eyeDistance| |derivationCoordinates| |showSummary| + |innerEigenvectors| |input| |simplifyExp| |split!| |rdHack1| + |outerProduct| |iterators| |numberOfFactors| |sumOfSquares| |inv| + |members| |satisfy?| |critBonD| |library| |f02aff| |useNagFunctions| + |infLex?| |monicDecomposeIfCan| |jordanAdmissible?| |ground?| + |lexTriangular| |messagePrint| |outputMeasure| |componentUpperBound| + |createLowComplexityTable| |id| |subtractIfCan| |alternating| |ground| + |qfactor| |reducedQPowers| |value| |optimize| |mdeg| |eulerPhi| + |infiniteProduct| |LagrangeInterpolation| |lo| |e01sbf| + |leadingMonomial| |compound?| |typeList| |newLine| |pushdterm| + |showAttributes| |cAcosh| |coth2trigh| + |rewriteSetByReducingWithParticularGenerators| |s13acf| + |halfExtendedResultant1| |tanSum| |leadingCoefficient| + |inputBinaryFile| |identification| |changeBase| |flexible?| |polCase| + |definingEquations| |assert| |insertRoot!| |antisymmetric?| |space| + |bitLength| |genericLeftTraceForm| |removeRedundantFactorsInContents| + |iiabs| |call| |inf| |lazyPseudoRemainder| |flagFactor| + |subResultantGcd| |redPo| |setchildren!| |primaryDecomp| + |integralMatrix| |f02abf| |setAttributeButtonStep| |ipow| + |numFunEvals| |getMultiplicationMatrix| |getStream| + |OMunhandledSymbol| |fill!| |charthRoot| |setleft!| + |minimalPolynomial| |denomLODE| |alphanumeric| |limitedIntegrate| + |zeroMatrix| |cCsc| |bandedHessian| |roughEqualIdeals?| |slex| + |hconcat| |first| |d01gaf| |rightAlternative?| |signAround| + |integrate| |cyclic| |adaptive?| |pade| |rest| |ode2| + |irreducibleFactors| |quadraticForm| |internalLastSubResultant| + |virtualDegree| |linkToFortran| |index?| |quadratic?| |e02ddf| |back| + |wordInGenerators| |coerceListOfPairs| |lhs| |nthExpon| |qqq| + |curryLeft| |acothIfCan| |matrixDimensions| |minPoints3D| |rhs| + |noKaratsuba| |iicoth| |constructor| |elaboration| |reverse!| |f02xef| + |isConnected?| |subst| |extractClosed| |irVar| |exactQuotient| + |s18acf| |isExpt| |sumSquares| |toseLastSubResultant| |hex| + |stoseInvertibleSetsqfreg| |currentEnv| |outputAsTex| |horizConcat| + |stFuncN| |presub| |hermiteH| |hypergeometric0F1| |youngGroup| + |computeBasis| |semiDiscriminantEuclidean| |power| |explimitedint| + |subresultantSequence| |sylvesterMatrix| |bivariatePolynomials| + |rootPoly| |OMgetEndError| |brillhartIrreducible?| |sub| |check| + |largest| |resultantnaif| |argscript| |rightRank| |drawStyle| |cSinh| + |li| |subResultantChain| |linearAssociatedLog| |meatAxe| + |associative?| |exprToUPS| |lazy?| |isImplies| |viewDeltaXDefault| + |startStats!| |linearAssociatedExp| |tab1| |elliptic?| |OMread| + |arrayStack| |OMputBind| |reciprocalPolynomial| |rootRadius| |iiatan| + |expintegrate| |maxrank| |pmintegrate| |halfExtendedSubResultantGcd1| + |f02bbf| |leftExtendedGcd| |toseInvertible?| |perfectNthPower?| + |s18def| |numberOfFractionalTerms| |lllp| |squareFreeFactors| + |objects| |supDimElseRittWu?| |setRow!| |paraboloidal| |rightLcm| + |wordInStrongGenerators| |swap| |ratDenom| |solveLinearlyOverQ| + |readUInt16!| |zeroDimensional?| |base| |pToDmp| |dictionary| + |removeSinhSq| |orthonormalBasis| |subCase?| |c02aff| + |ellipticCylindrical| |sample| |dimension| |hclf| |isOr| + |simplifyPower| |leftDiscriminant| |brillhartTrials| |factorsOfDegree| + |regime| |lambert| |bothWays| |notelem| |leftPower| |buildSyntax| + |type| |critMTonD1| |rem| |rroot| |henselFact| |order| + |identitySquareMatrix| |map!| |reseed| |cyclotomic| + |radicalEigenvector| |nullary?| |integerIfCan| |matrixConcat3D| + |subresultantVector| |closed?| |quo| |laguerre| |polyRDE| |qsetelt!| + |universe| |hdmpToDmp| |readByte!| |dim| |polar| |stoseInvertibleSet| + |sin?| |cCosh| |padicFraction| |pointData| |inc| |usingTable?| |test| + |width| |deref| |bitCoef| |elRow1!| |recur| |characteristicSerie| + |iidsum| |OMgetEndObject| |multiple?| |div| |printInfo!| |sPol| + |outputFloating| |realRoots| |debug3D| |mkIntegral| |relationsIdeal| + |maxint| |one?| |reduceLODE| |Frobenius| |exquo| |LowTriBddDenomInv| + |alphabetic?| |palgextint| |d01amf| |toseSquareFreePart| |e04ycf| + |patternMatchTimes| |delete!| ~= |ListOfTerms| |wholePart| |padecf| + |graphs| |antisymmetricTensors| |pattern| |companionBlocks| |baseRDE| + |high| |disjunction| |cosh2sech| |insertTop!| |OMencodingUnknown| + |overset?| |definingInequation| |#| |prolateSpheroidal| |acsch| + |nextPrimitivePoly| |zeroDimPrimary?| |allRootsOf| |upDateBranches| + |table| |simplify| |clipParametric| |denominators| |OMcloseConn| ~ + |intensity| |getZechTable| |exportedOperators| |factor1| + |cyclePartition| |rules| |addPoint| |new| |pushNewContour| |iiacosh| + |delta| |OMgetAtp| |prefix| |createLowComplexityNormalBasis| + |mainMonomial| |obj| |parent| |previous| + |semiResultantReduitEuclidean| |genericRightNorm| |Is| |quasiRegular?| + |createThreeSpace| |mainCoefficients| |invmultisect| |identity| + |readInt16!| |leftRankPolynomial| |cache| |message| |optional| + |rotate| |range| |selectMultiDimensionalRoutines| |alphanumeric?| + |interval| |associatedEquations| |mapCoef| |fortranLogical| |/\\| + |semiSubResultantGcdEuclidean2| |content| |solveid| |LyndonWordsList| + |laurentIfCan| |fractionFreeGauss!| |ratDsolve| |critT| |leadingIdeal| + |moebiusMu| |\\/| |boundOfCauchy| |tableForDiscreteLogarithm| + |selectsecond| |iicot| |rk4| |nativeModuleExtension| + |stripCommentsAndBlanks| |findConstructor| |top!| + |resetAttributeButtons| |roughBase?| |dAndcExp| |iitanh| |seed| + |headReduced?| |bfKeys| |purelyTranscendental?| |search| |iilog| + |zerosOf| |fTable| |f07fef| |enumerate| |assign| |mainMonomials| + |composites| |primeFactor| |property| |infieldIntegrate| |fractRagits| + |scan| |OMconnInDevice| |listOfLists| |outputForm| |getCode| |e02aef| + |lastSubResultant| |minordet| |insertionSort!| |lambda| + |numberOfCycles| |argumentList!| |e01bff| |factorSquareFree| + |rightOne| |rischNormalize| |skewSFunction| |e04mbf| |lllip| + |singular?| |externalList| |legendreP| |algebraicDecompose| |cAsech| + |solid| |unprotectedRemoveRedundantFactors| |extractIfCan| + |unaryFunction| |qroot| |linearMatrix| |modulus| + |inverseIntegralMatrix| |compactFraction| |radix| |fintegrate| + |primlimitedint| |prod| |f01rdf| |left| |uncouplingMatrices| + |rightPower| |sturmSequence| |cothIfCan| |level| |changeName| |closed| + |e02daf| |coleman| |inverseLaplace| |right| |musserTrials| |subHeight| + |cAcoth| |s17adf| |irDef| F |btwFact| |numericIfCan| + |primitiveElement| |consnewpol| |bright| |fillPascalTriangle| + |setUnion| |outputBinaryFile| |abelianGroup| |OMputBVar| |medialSet| + |prinb| |setAdaptive3D| |cSin| |e01daf| |removeDuplicates| |symFunc| + |setProperty| |localIntegralBasis| |tryFunctionalDecomposition?| + |drawComplex| |bipolarCylindrical| |generic| |squareFreePrim| + |OMputEndApp| |eval| |binding| |nor| |OMencodingXML| + |screenResolution3D| |partitions| |singularitiesOf| |minimize| |zero| + |exp| |OMlistSymbols| |SturmHabichtSequence| LODO2FUN |nthCoef| |vark| + |setsubMatrix!| |pureLex| |c06gqf| |s19acf| |doubleComplex?| |color| + |normalizeAtInfinity| |listexp| |fortranDoubleComplex| |nextSublist| + |f02aaf| |linear?| |e02dcf| |imagK| |find| |chebyshevT| |And| + |particularSolution| |error| + |solveLinearPolynomialEquationByRecursion| |isEquiv| + |stiffnessAndStabilityOfODEIF| |logpart| |d03edf| |someBasis| + |upperBound| |shallowCopy| |corrPoly| |Or| |getExplanations| |zero?| + |integral?| |collect| |unknownEndian| |pop!| |OMputEndError| |tube| + |Not| |difference| |ideal| |quoByVar| |size| |setFormula!| + |mainVariables| |LiePoly| |fibonacci| |palgLODE| |po| |expt| + |setDifference| |negative?| |iisqrt3| |meshPar1Var| |imagk| + |asinhIfCan| |intermediateResultsIF| |resultantReduit| + |roughSubIdeal?| |symbol| |pointSizeDefault| |factorials| |f04qaf| + |prinshINFO| |inGroundField?| |returnType!| |RemainderList| + |explicitlyFinite?| |tryFunctionalDecomposition| |rationalIfCan| + |expression| |scalarMatrix| |palgLODE0| |polyRicDE| |monicLeftDivide| + |substring?| |squareFree| |resultantEuclidean| |var2Steps| + |lazyIntegrate| |systemCommand| |key| |removeConstantTerm| + |topPredicate| |partition| |integer| |double| |drawComplexVectorField| + |rationalApproximation| |algintegrate| |c06gcf| |ode1| + |wronskianMatrix| |bernoulliB| |routines| |getMeasure| |latex| + |removeZero| |zag| |setref| |suffix?| |oddintegers| |lowerCase?| + |forLoop| |filename| |basisOfMiddleNucleus| |internalSubPolSet?| + |simpleBounds?| |rightDivide| |polygon?| |functorData| + |nonSingularModel| |bracket| |normalizedDivide| |upperCase!| |isPlus| + |squareFreePart| |zeroVector| |imports| |euclideanNormalForm| |basis| + |minColIndex| |prefix?| |vectorise| |cyclicSubmodule| |resize| + |clikeUniv| |bottom!| |parse| |null| |axes| |aspFilename| |cAcsc| + |localReal?| |mainValue| |initial| |lfextendedint| |probablyZeroDim?| + |simpson| |useEisensteinCriterion?| |not| |cross| |c06fuf| + |infinityNorm| |setPredicates| |node| |branchIfCan| |tanh2coth| + |attributeData| |leastAffineMultiple| |modifyPointData| |att2Result| + |and| |stoseSquareFreePart| |viewWriteAvailable| |OMputObject| + |monicDivide| |iiexp| |cCsch| |retract| |modularGcdPrimitive| + |quasiComponent| |legendre| |or| |cycleRagits| |middle| |safetyMargin| + |declare!| |fortranCarriageReturn| |s21bcf| |exQuo| |node?| |e02ahf| + |iisech| |updateStatus!| |refine| |delete| |normalized?| |laurentRep| + |getMatch| |fixedPointExquo| |palgintegrate| |exponential1| + |directSum| |distance| |sinhIfCan| |box| + |zeroSetSplitIntoTriangularSystems| |splitConstant| |mkPrim| + |SFunction| |infix?| |semiResultantEuclidean2| |goodPoint| |keys| + |connectTo| |setfirst!| |OMUnknownCD?| |gcdPolynomial| |approxSqrt| ** + |trigs2explogs| |isList| |mask| |s17ajf| |degree| |float?| + |zeroDimPrime?| |idealSimplify| |maxPoints3D| |numerator| + |positiveSolve| |predicate| |OMlistCDs| |purelyAlgebraic?| + |palglimint| |dihedral| |prindINFO| |child?| |polygon| |sort| + |coordinates| |write!| |product| |unitNormalize| |hdmpToP| + |diagonalMatrix| |createMultiplicationMatrix| |selectOrPolynomials| + |sizeLess?| |OMsetEncoding| |OMreadStr| |rootKerSimp| |OMgetSymbol| + |iidprod| |overlap| |generalizedEigenvector| |c02agf| |mathieu24| + |mapSolve| |gcdprim| |sylvesterSequence| |enqueue!| |segment| + |rational| |tanNa| |insertMatch| |intersect| |schwerpunkt| + |decreasePrecision| |mkAnswer| |purelyAlgebraicLeadingMonomial?| + |repeating| |intcompBasis| |index| |oblateSpheroidal| + |functionIsFracPolynomial?| |graeffe| |fractRadix| |linearPart| + |orbit| |rightZero| |OMconnectTCP| |leftRecip| |map| |currentScope| + |member?| |principalAncestors| |OMgetEndBVar| |powern| |autoReduced?| + |eq?| |startTable!| |inRadical?| |OMreceive| |adaptive| |void| + |applyRules| |f07adf| |finiteBound| |nthFlag| |divideIfCan!| + |equation| |repeating?| |sqfrFactor| |mainExpression| |choosemon| + |weighted| |hspace| |pair| |createGenericMatrix| |aLinear| |pile| + |isPower| |tubePlot| |fortranTypeOf| |changeMeasure| + |definingPolynomial| |setPoly| |doubleDisc| |exprToXXP| + |standardBasisOfCyclicSubmodule| |dflist| |OMputError| |compose| + |s13adf| |implies| |rotatez| |basisOfRightNucloid| + |integralMatrixAtInfinity| |factorByRecursion| |trunc| |arbitrary| + |conditionP| |logGamma| |parameters| |pack!| |rquo| |rCoord| + |composite| |dn| |commutativeEquality| |biRank| |isNot| |bag| + |domainTemplate| |log10| |leftFactor| |sturmVariationsOf| + |ramifiedAtInfinity?| |overlabel| |GospersMethod| |say| + |univariatePolynomial| |ksec| |completeSmith| |bits| |anfactor| + SEGMENT |binaryTournament| |degreeSubResultant| |makeSin| |asechIfCan| + |iroot| |cycleLength| |frobenius| |plenaryPower| |normalElement| + |monomialIntPoly| |datalist| |firstSubsetGray| |ScanRoman| + |computeCycleEntry| |traverse| |returnTypeOf| |connect| |reset| + |systemSizeIF| |nthRootIfCan| |iExquo| |monomRDE| |makeMulti| + |maxColIndex| |radicalOfLeftTraceForm| |predicates| |atrapezoidal| + |f04mcf| |extractBottom!| |createIrreduciblePoly| |decrease| |getRef| + |putProperty| |failed| |rename!| |polygamma| |bezoutMatrix| + |vertConcat| |OMgetFloat| |closeComponent| |write| |FormatRoman| + |plotPolar| |separant| |numberOfComputedEntries| |crushedSet| |sort!| + |compBound| |gethi| |internalInfRittWu?| |generator| |lowerBound| + |save| |noValueMode| |callForm?| |tan2cot| |pointColorPalette| + |diophantineSystem| |OMgetEndAttr| |userOrdered?| + |showFortranOutputStack| |fortranReal| |factorPolynomial| |s17acf| + |infRittWu?| |limitPlus| |tanintegrate| |stronglyReduced?| |edf2fi| + |nilFactor| |selectNonFiniteRoutines| |OMsend| |tubeRadiusDefault| + |f02axf| |multiEuclidean| |clip| |critM| |expIfCan| |dfRange| + |headAst| |internalIntegrate0| |numberOfComponents| |trim| + |shallowExpand| |gcdcofactprim| |OMputInteger| |generalizedInverse| + |critB| |shiftRight| |minimumExponent| |firstNumer| |f04maf| + |shiftLeft| |contours| |zeroSetSplit| |writeByte!| |quoted?| + |dimensionsOf| |copies| |optAttributes| |basisOfRightNucleus| + |mainPrimitivePart| |stirling2| |integralAtInfinity?| |indices| + |setIntersection| |findBinding| |nil| |phiCoord| |chvar| |log| + |sorted?| |doubleRank| |reduceBasisAtInfinity| |constantRight| + |bumptab1| |lineColorDefault| |ignore?| |f04arf| |s21bdf| |transpose| + |const| |algebraicVariables| |readIfCan!| |besselJ| |s17aff| + |discriminant| |solveLinear| |ridHack1| |mapUp!| |nextsubResultant2| + |coerceL| |recip| |setCondition!| |updatD| |float| |sncndn| |support| + |OMconnOutDevice| |moreAlgebraic?| |reducedSystem| |firstDenom| + |airyAi| |writeUInt8!| |approximate| |numberOfVariables| |argument| + |specialTrigs| |selectFiniteRoutines| |numberOfIrreduciblePoly| + |isOpen?| |complex| |startPolynomial| |differentialVariables| + |ScanFloatIgnoreSpacesIfCan| |apply| |normal01| |separate| |incr| + |rur| |conjugate| |decomposeFunc| |derivative| |ip4Address| + |leftReducedSystem| |d01gbf| |atom?| |minimumDegree| |constant| + |quasiRegular| |hi| |hexDigit?| |stoseInvertible?sqfreg| + |doubleResultant| |npcoef| |getlo| + |dimensionOfIrreducibleRepresentation| |e04fdf| |vspace| + |addMatchRestricted| |endSubProgram| |hyperelliptic| |leftUnit| + |s17aef| |lazyPquo| |integralBasis| |cAtanh| |times!| |numer| + |firstUncouplingMatrix| |maxdeg| |randomLC| |fprindINFO| |scaleRoots| + |charpol| |parseString| |radicalRoots| |ranges| + |rewriteIdealWithQuasiMonicGenerators| |distribute| + |rightDiscriminant| |denom| |binomial| |collectQuasiMonic| |An| + |errorInfo| |elaborateFile| |lighting| |nextNormalPrimitivePoly| + |sincos| |formula| |lift| |cExp| |f02adf| |e01bgf| |f04asf| |c05adf| + |oddInfiniteProduct| |roughBasicSet| |df2ef| |rarrow| |pToHdmp| + |deleteRoutine!| |sequence| |reduce| |pi| |children| + |degreeSubResultantEuclidean| |makeYoungTableau| |d02cjf| |addPoint2| + |viewZoomDefault| GE |principalIdeal| |diagonal| |byteBuffer| + |minPoly| |categoryMode| |infinity| |simplifyLog| |thenBranch| + |LazardQuotient2| |mainCharacterization| |createNormalPrimitivePoly| + GT |basisOfCommutingElements| |car| |style| |makeCos| |dualSignature| + |tanhIfCan| |s18aef| |OMReadError?| |generalTwoFactor| |rightNorm| LE + |double?| |palginfieldint| |mainVariable?| |showAllElements| + |precision| |nrows| |cos2sec| |generalSqFr| |equiv| |printStats!| + |low| |genericRightDiscriminant| LT |concat| |showTheFTable| |s14aaf| + |integral| |expandPower| |kernel| |ncols| |s21baf| |factorSFBRlcUnit| + |reify| |palgint| |parabolicCylindrical| |incrementKthElement| + |univariate?| |lazyPremWithDefault| |generalPosition| |cdr| |s18dcf| + |list| |terms| |endOfFile?| |clearDenominator| |sumOfDivisors| + |factorSquareFreePolynomial| |littleEndian| |credPol| + |genericRightTraceForm| |f01maf| |draw| |subMatrix| |round| F2FG + |totolex| |fixedDivisor| |numberOfNormalPoly| |createPrimitiveElement| + |constantKernel| |distFact| |stoseLastSubResultant| |binarySearchTree| + |branchPointAtInfinity?| |environment| |quasiAlgebraicSet| + |divideExponents| |lfinfieldint| |minPol| |e04ucf| |fortran| |pdct| + |elements| |makingStats?| |polynomial| |rightRegularRepresentation| + |s15aef| |point| |unravel| |redPol| |mkcomm| |remove| + |monomialIntegrate| |extendedIntegrate| |slash| |generic?| |quatern| + |d01fcf| |cot2tan| |isobaric?| |indiceSubResultantEuclidean| + |OMencodingBinary| |exactQuotient!| |decompose| |c06gbf| |bernoulli| + |s18aff| |front| |trace2PowMod| |limit| |makeObject| |printStatement| + |leftRegularRepresentation| |solve1| |setMinPoints| |isMult| |last| + |sechIfCan| |lp| |mainVariable| |inverse| |numerators| |removeZeroes| + |byte| |restorePrecision| |series| |coef| |asimpson| |reverseLex| + |c06eaf| |f04faf| |assoc| |denominator| |curve| |odd?| |cosSinInfo| + |mapUnivariate| |e02adf| |e02def| |variable?| |ef2edf| |voidMode| + |insert!| |lifting| |genericLeftDiscriminant| |safeCeiling| + |qualifier| |appendPoint| |euler| |expextendedint| |OMsupportsCD?| + |cylindrical| |algSplitSimple| |multMonom| |just| |mergeFactors| + |nextPrime| |primintfldpoly| |selectAndPolynomials| |supRittWu?| + |components| |idealiserMatrix| |linearlyDependentOverZ?| |totalDegree| + |traceMatrix| |isQuotient| |coshIfCan| |makeViewport3D| + |primitivePart!| |root?| |rationalPoints| |entry| |min| + |evaluateInverse| |tValues| |rischDEsys| |merge!| |newSubProgram| + |arity| |uniform| |acosIfCan| |minRowIndex| |any| |euclideanSize| + |triangularSystems| |host| |geometric| |shiftRoots| |normal?| + |acscIfCan| |d02kef| |lazyPrem| |partialQuotients| + |nextsousResultant2| |changeNameToObjf| |getIdentifier| |pdf2ef| + |subscriptedVariables| |rightUnit| |myDegree| |d01asf| |nthr| + |realElementary| |indiceSubResultant| |flexibleArray| |d01anf| + |resultant| |solid?| |indicialEquation| |viewDeltaYDefault| |makeop| + |coth2tanh| |e04gcf| |head| |d01bbf| |OMputVariable| |integerBound| + |cfirst| |inputOutputBinaryFile| |function| |mergeDifference| |mapdiv| + |height| |script| |elaborate| |coerceP| |dioSolve| |acschIfCan| + |directory| |c06frf| |explicitlyEmpty?| |genus| |showClipRegion| + |reduceByQuasiMonic| |coefficients| |df2mf| |anticoord| |torsion?| + |internalSubQuasiComponent?| |diff| |internalDecompose| |fglmIfCan| + |surface| |s19abf| |minrank| |hMonic| |showTheIFTable| |f01qef| + |retractIfCan| |iiperm| |c06ecf| |leftScalarTimes!| |revert| + |transform| |categoryFrame| |e01bhf| |tex| + |primPartElseUnitCanonical!| |diagonals| |setStatus| |upperCase| + |tubePointsDefault| |primPartElseUnitCanonical| |transcendenceDegree| + |sortConstraints| |rightRecip| |lookupFunction| |numeric| |empty?| + |youngDiagram| |combineFeatureCompatibility| |shellSort| + |cyclotomicFactorization| |airyBi| |poisson| |extract!| |f02awf| + |vconcat| |radical| |dmp2rfi| |signatureAst| |top| + |coercePreimagesImages| |pushdown| |OMgetInteger| |makeResult| + |rationalPoint?| |label| |stoseInvertible?| |bezoutDiscriminant| + |backOldPos| |lSpaceBasis| |setTex!| |continue| |whileLoop| |cotIfCan| + |mappingMode| |LazardQuotient| |extractProperty| |rdregime| + |primitive?| |increasePrecision| |groebSolve| |lflimitedint| |push!| + |quotient| |s19adf| |expint| |halfExtendedResultant2| EQ |froot| + |e02akf| |merge| |mainSquareFreePart| |extractSplittingLeaf| + |complexRoots| |eisensteinIrreducible?| |indicialEquations| |unknown| + |setStatus!| |sn| |ref| |unitVector| |sizePascalTriangle| |normalize| + |antiAssociative?| |acoshIfCan| |weights| |d01aqf| + |univariatePolynomialsGcds| |oddlambert| |unit| |pquo| + |lazyPseudoQuotient| |isAbsolutelyIrreducible?| |repSq| |pair?| + |noLinearFactor?| |lazyEvaluate| |var1StepsDefault| |var2StepsDefault| + |cycleSplit!| |setLabelValue| |primitivePart| |lcm| |readInt32!| + |ReduceOrder| |mesh?| |iicos| |pushuconst| |operators| + |factorGroebnerBasis| |printInfo| |outputArgs| |conjug| |complexSolve| + |lastSubResultantEuclidean| |red| |triangSolve| |removeDuplicates!| + |redmat| |tail| |cyclicEqual?| |tracePowMod| |readInt8!| |algint| + |append| |increase| |setelt!| |external?| |rotatex| |contract| + |aCubic| |e02dff| |length| |totalDifferential| |option| |parametersOf| + |iiacsc| |rightGcd| |delay| |gcd| |hash| |twoFactor| |declare| + |univcase| |category| |perfectNthRoot| |mainDefiningPolynomial| + |lazyGintegrate| |midpoint| |scripts| |count| |removeCoshSq| + |replaceKthElement| |sts2stst| |false| |adjoint| |Gamma| + |getButtonValue| |domain| |positive?| |build| |setClosed| |df2fi| + |interactiveEnv| |stopTable!| |f07fdf| |nthFractionalTerm| |debug| + |mindegTerm| |package| |Ei| |f07aef| |harmonic| |nullSpace| + |factorial| |bigEndian| |pleskenSplit| |extendedEuclidean| + |yCoordinates| |symbolTableOf| |colorFunction| D |f02ajf| + |realEigenvalues| |reindex| |normalizedAssociate| |edf2efi| + |putProperties| |toseInvertibleSet| |cAsinh| |gcdPrimitive| |leftRank| + |drawCurves| |leadingBasisTerm| |selectODEIVPRoutines| |makeSeries| + |complexEigenvalues| |palgRDE| |mapExpon| |lifting1| |ord| + |mapBivariate| |presuper| |sign| |updatF| + |initializeGroupForWordProblem| |summation| |csc2sin| |lintgcd| + |escape| |permutation| |minIndex| |center| |splitSquarefree| + |setScreenResolution3D| |genericLeftTrace| |atanIfCan| + |reducedContinuedFraction| |cycle| |setProperties| |startTableGcd!| + |cSech| |unvectorise| |LyndonWordsList1| |numberOfComposites| + |complexIntegrate| |sinhcosh| |socf2socdf| |semiResultantEuclidean1| + |deepestTail| |max| |lookup| |polyred| |lowerCase!| |wrregime| + |deepestInitial| |pr2dmp| |deepCopy| |qPot| |cschIfCan| |sin2csc| + |d02raf| |lepol| |commaSeparate| |elseBranch| |compdegd| |bindings| + |clipBoolean| |complexExpand| |critpOrder| |parametric?| |rspace| + |complexZeros| |roughUnitIdeal?| |tensorProduct| |rightTrace| |c06ebf| + |explogs2trigs| |duplicates| |exponent| |OMopenString| + |inverseColeman| |makeGraphImage| |exists?| |moduloP| |cCot| + |areEquivalent?| |cAcsch| |bubbleSort!| |palgRDE0| |permutations| + |pseudoQuotient| |separateDegrees| |hasTopPredicate?| |ddFact| + |cot2trig| |rightExactQuotient| |print| |d02ejf| |enterPointData| + |checkForZero| |c05nbf| |floor| |divisorCascade| |secIfCan| + |eigenvector| |innerSolve| |resolve| |minPoints| |OMgetBVar| + |semiResultantEuclideannaif| |comparison| |simpsono| + |transcendentalDecompose| |rowEchelonLocal| |condition| + |blankSeparate| |subNodeOf?| |copyInto!| |d01ajf| |elementary| + |nextNormalPoly| |lfintegrate| |leftRemainder| |OMputSymbol| + |goodnessOfFit| |iisqrt2| |lquo| |getConstant| |normalDeriv| |read!| + |c06ekf| |infinite?| |rootSimp| |hasPredicate?| |s17dlf| + |enterInCache| |mapDown!| |bat1| |OMclose| |returns| + |primitiveMonomials| |reducedDiscriminant| |lprop| |f2st| + |completeHermite| |cardinality| |iCompose| |integralLastSubResultant| + |scalarTypeOf| |rewriteIdealWithHeadRemainder| |bivariate?| |comment| + |finite?| |reductum| |doublyTransitive?| |heapSort| |bumprow| |region| + |lieAlgebra?| |drawToScale| |getPickedPoints| |OMgetObject| |linear| + |squareMatrix| |outputGeneral| |tab| |topFortranOutputStack| + |chebyshevU| |s19aaf| |step| |symmetricSquare| |imagi| |close!| + |csch2sinh| |degreePartition| |cyclotomicDecomposition| |duplicates?| + |digits| |removeRedundantFactorsInPols| |numberOfImproperPartitions| + |lexico| |besselI| |taylorQuoByVar| |asinIfCan| + |unrankImproperPartitions0| |modularGcd| |basisOfCenter| |mpsode| + |leftDivide| |monomials| |roman| |ode| |factorAndSplit| |cAcos| + |setScreenResolution| |sum| |conjugates| |OMgetString| |realZeros| + |imagj| |wholeRagits| |zeroOf| |removeSinSq| |coord| |s17dcf| |d03eef| + |erf| |row| |lastSubResultantElseSplit| |shape| |mapGen| |chiSquare| + |setColumn!| |bytes| |c06fqf| |listLoops| |currentCategoryFrame| + |exprHasWeightCosWXorSinWX| |ratPoly| |leftNorm| |recolor| |f04jgf| + |eq| |setImagSteps| |reduction| |exponentialOrder| |genericPosition| + |shift| |radicalEigenvectors| |insert| |bat| |compiledFunction| + |numericalOptimization| |romberg| |OMputAtp| |iter| |exprex| + |setEpilogue!| |quadraticNorm| |symbolIfCan| |string?| |ravel| |dilog| + |modTree| |normalizeIfCan| |conditionsForIdempotents| |output| + |position!| |hasoln| |basisOfRightAnnihilator| |matrixGcd| |e01bef| + |doubleFloatFormat| |matrix| |figureUnits| |sin| |reshape| |bumptab| + |OMgetEndAtp| |lex| |removeSquaresIfCan| |quadratic| + |linearAssociatedOrder| |superHeight| |leftAlternative?| + |argumentListOf| |clearTheSymbolTable| |cos| |jokerMode| |rootSplit| + |SturmHabichtMultiple| |createNormalElement| |mathieu23| |nsqfree| + |conjunction| |clipWithRanges| |block| |tanh2trigh| |tan| |makeSUP| + |continuedFraction| |showTheSymbolTable| |aromberg| |zoom| + |recoverAfterFail| |OMputString| |second| |f04atf| |shade| |multisect| + |cn| |cot| |compile| |d02gaf| |bringDown| |discriminantEuclidean| + |cPower| |characteristicPolynomial| |coerceImages| + |expressIdealMember| |third| |spherical| |mainContent| |trivialIdeal?| + |sec| |variationOfParameters| |linGenPos| |numFunEvals3D| + |generateIrredPoly| |radicalSimplify| |normalise| |subPolSet?| + |tubeRadius| |infix| |belong?| |ODESolve| |rootPower| |csc| + |removeSuperfluousQuasiComponents| |update| |integralDerivationMatrix| + |qinterval| |univariatePolynomials| |units| |packageCall| |unexpand| + |cAtan| |lazyResidueClass| |writeInt8!| |constant?| |asin| + |setLegalFortranSourceExtensions| |moebius| |solveInField| |elliptic| + |prologue| |stirling1| |indicialEquationAtInfinity| + |rightCharacteristicPolynomial| |mathieu12| |green| |acos| + |makeFloatFunction| |setErrorBound| |squareTop| |removeCosSq| + |rationalFunction| |ramified?| |inR?| |HenselLift| |getDatabase| + |iisinh| |euclideanGroebner| |atan| |iomode| |rightScalarTimes!| + |c06fpf| |signature| |lowerPolynomial| |trapezoidal| + |lazyPseudoDivide| RF2UTS |whitePoint| |setOrder| |s17dgf| + |setMaxPoints| |acot| |element?| |mathieu11| |generate| |subNode?| + |evaluate| |chiSquare1| |super| |clearTable!| |graphStates| + |changeVar| |wholeRadix| |prem| |shanksDiscLogAlgorithm| |asec| + |OMParseError?| |position| |quickSort| |cTan| |code| |hessian| + |algDsolve| |taylorIfCan| |logical?| |concat!| |setnext!| |operation| + |acsc| |incrementBy| |asecIfCan| |varselect| |changeThreshhold| |root| + |subset?| |setClipValue| |extendedSubResultantGcd| |factorList| + |coerceS| |solve| |sinh| |ldf2lst| |e04dgf| |showAll?| |fmecg| + |module| |expand| |tanQ| |pdf2df| |opeval| |monicCompleteDecompose| + |size?| |cosh| |representationType| |prefixRagits| |mvar| + |algebraicSort| |fortranCompilerName| |filterWhile| |stopMusserTrials| + |prinpolINFO| |writable?| |addMatch| |cap| |tanh| |positiveRemainder| + |replace| |complexElementary| |filterUntil| |monomRDEsys| |saturate| + |pow| |complexNumericIfCan| |complete| |tanIfCan| |more?| |divisor| + |coth| |rightUnits| |constantIfCan| |normDeriv2| |select| + |showTheRoutinesTable| |printCode| |linearPolynomials| + |integralBasisAtInfinity| |getMultiplicationTable| |log2| |bitTruth| + |physicalLength| |sech| |cyclicGroup| |countRealRootsMultiple| + |tablePow| |approxNthRoot| |factorsOfCyclicGroupSize| + |rangePascalTriangle| |relerror| |quotedOperators| |extractTop!| |mix| + |csch| |denomRicDE| |rewriteIdealWithRemainder| + |constantCoefficientRicDE| |OMputApp| |expenseOfEvaluationIF| |mulmod| + |scanOneDimSubspaces| |changeWeightLevel| |asinh| |OMgetEndBind| + |move| |showArrayValues| |viewPosDefault| |associator| |iipow| + |initiallyReduce| |neglist| |singRicDE| |acosh| |s01eaf| |ParCondList| + |getProperty| |readBytes!| |psolve| |functionIsOscillatory| + |permanent| |xCoord| |init| |selectOptimizationRoutines| |atanh| + |cond| |readUInt8!| |patternMatch| |invertibleSet| |sh| |linears| + |stoseInvertible?reg| |setEmpty!| |readLineIfCan!| |reduced?| |acoth| + |cTanh| |makeRecord| |OMputEndAtp| |completeEval| |sayLength| |d01apf| + |hostByteOrder| |associatorDependence| |asech| |pole?| |karatsubaOnce| + |f02akf| |calcRanges| |fractionPart| |d02bbf| |squareFreePolynomial| + |RittWuCompare| |OMbindTCP| |balancedBinaryTree| + |wordsForStrongGenerators| |OMgetApp| |pseudoDivide| |point?| + |morphism| |rowEchelon| |hostPlatform| |SturmHabicht| |multiple| + |mainKernel| |entries| |list?| |unitsColorDefault| |critMonD1| |dom| + |applyQuote| |commonDenominator| |useEisensteinCriterion| + |padicallyExpand| |set| |quartic| |oneDimensionalArray| |s17dhf| + |se2rfi| |OMgetVariable| |create3Space| |s14abf| |lyndon?| + |genericRightMinimalPolynomial| |totalGroebner| |fortranLiteral| + |primes| BY |highCommonTerms| |f01rcf| |univariateSolve| |maxIndex| + |qelt| |parts| |iiGamma| |iicsc| |interReduce| |nothing| + |ScanFloatIgnoreSpaces| |less?| |palglimint0| |groebnerIdeal| + |internalIntegrate| |qsetelt| |generators| |exprHasAlgebraicWeight| + |ruleset| |select!| |acotIfCan| |mainForm| |vedf2vef| |viewport3D| + |entry?| |xRange| |numberOfChildren| |cLog| |groebgen| |cycleElt| + |writeLine!| |toroidal| |rootOfIrreduciblePoly| |karatsubaDivide| + |title| |typeForm| |laplace| |yRange| |dec| |printingInfo?| + |OMUnknownSymbol?| |isOp| |f02agf| |prime?| |csubst| |Ci| + |resetVariableOrder| |homogeneous?| |zRange| |e01saf| |suchThat| + |extension| |ParCond| |iiasech| |mathieu22| |sech2cosh| |lyndonIfCan| + |dominantTerm| |cycles| |balancedFactorisation| |complexLimit| + |perfectSquare?| |getSyntaxFormsFromFile| |e| |multiplyExponents| + |multiset| |octon| |dimensions| NOT |linearDependence| |imagJ| + |diagonalProduct| |createZechTable| |evenlambert| |decimal| + |laguerreL| |newTypeLists| |charClass| OR |B1solve| |makeSketch| + |factorSquareFreeByRecursion| |bezoutResultant| |curryRight| + |semiSubResultantGcdEuclidean1| |leftUnits| |ptFunc| |hasHi| + |properties| AND |diagonal?| |modifyPoint| |taylorRep| |show| |imagE| + |expandTrigProducts| |extendedResultant| |getGoodPrime| + |createRandomElement| |rootsOf| |listConjugateBases| |translate| + |scopes| |subTriSet?| |cCos| |create| |open| |blue| |UpTriBddDenomInv| + |tan2trig| |iiasec| |goto| |meshFun2Var| |f02fjf| + |solveLinearPolynomialEquation| |permutationRepresentation| |trace| + |e02zaf| |aQuadratic| |cosIfCan| |nary?| |rootNormalize| |bsolve| + |splitDenominator| |polynomialZeros| |shuffle| |janko2| |OMgetAttr| + |rightRemainder| |complexNormalize| |groebnerFactorize| + |rightTraceMatrix| |groebner| |viewSizeDefault| + |constantToUnaryFunction| |monicModulo| |extensionDegree| + |mightHaveRoots| |besselK| |splitLinear| |nullary| |divide| + |rootBound| |bitand| |char| |printTypes| |triangular?| |htrigs| + |power!| |even?| |operations| |BasicMethod| |basisOfNucleus| + |leadingTerm| |setLength!| |trigs| |bitior| |deleteProperty!| + |OMputEndAttr| |rootDirectory| |isTimes| |rational?| |leadingIndex| + |ceiling| |OMputEndBVar| |monomial?| |s13aaf| |characteristicSet| + |result| |associates?| |testDim| |symmetric?| |weakBiRank| + |nextPartition| |numericalIntegration| |OMputEndBind| + |leadingExponent| |f04axf| |numberOfHues| |cRationalPower| |e04jaf| + |curry| |subQuasiComponent?| |viewWriteDefault| |retractable?| + |expandLog| |ratpart| |supersub| |makeCrit| * |toScale| |readUInt32!| + |divergence| |complexForm| |leadingCoefficientRicDE| |setTopPredicate| + |discreteLog| |semiIndiceSubResultantEuclidean| |rotate!| |exponents| + |leaf?| |setPosition| |light| |besselY| |getOperands| + |rightFactorIfCan| |ricDsolve| |unmakeSUP| |intPatternMatch| + |symbolTable| |normInvertible?| |eigenvalues| |polyPart| |d02gbf| + |certainlySubVariety?| |palgint0| |rombergo| |Hausdorff| + |resultantReduitEuclidean| |randnum| |curveColorPalette| |interpret| = + |primextendedint| |quasiMonic?| |dequeue| |makeViewport2D| + |LyndonBasis| |maximumExponent| |getOrder| + |noncommutativeJordanAlgebra?| |beauzamyBound| + |pushFortranOutputStack| |kind| |divisors| |mat| |fixPredicate| + |conical| |d01akf| |rightFactorCandidate| |elem?| |findCycle| |cup| + |popFortranOutputStack| |swap!| |op| < |antiCommutative?| |badValues| + |powers| |sec2cos| |loadNativeModule| |stoseInvertibleSetreg| + |reflect| |addiag| |outputFixed| |outputAsFortran| FG2F > + |basisOfLeftNucloid| |rewriteSetWithReduction| |e01baf| |putGraph| + |represents| |distdfact| |pointColorDefault| |identityMatrix| + |failed?| <= |makeVariable| |headReduce| |powerSum| |realSolve| + |jordanAlgebra?| |ffactor| |maxRowIndex| |leftTrace| >= |curve?| + |iFTable| |halfExtendedSubResultantGcd2| |integralRepresents| + |elRow2!| |coefficient| |useSingleFactorBound| + |unrankImproperPartitions1| |interpolate| |safeFloor| |clearCache| + |capacity| |cycleEntry| |generalizedContinuumHypothesisAssumed?| + |character?| |OMsupportsSymbol?| |ScanArabic| |lazyVariations| + |stoseInternalLastSubResultant| |increment| |constantOpIfCan| + |makeprod| |OMgetEndApp| |initiallyReduced?| |mr| |null?| |parabolic| + |iicosh| |singleFactorBound| |ran| |categories| |union| + + |completeHensel| |fortranLinkerArgs| |clearTheIFTable| + |chainSubResultants| |tableau| |jacobian| |monic?| |linSolve| + |alphabetic| - |numberOfDivisors| |sumOfKthPowerDivisors| |sparsityIF| + |midpoints| |lieAdmissible?| |exponential| |determinant| |crest| + |problemPoints| / |badNum| |prepareDecompose| |validExponential| + |f01brf| |parents| |fullPartialFraction| |c05pbf| |OMgetBind| + |branchPoint?| |aQuartic| |iitan| |cons| |principal?| |rowEch| + |weight| |eof?| |resultantEuclideannaif| |fortranComplex| |lfunc| + |fortranCharacter| |trailingCoefficient| |e01sef| |leftTraceMatrix| + |rischDE| |totalLex| |hitherPlane| |setAdaptive| |generalLambert| + |stFunc2| |leftExactQuotient| |freeOf?| |reorder| |s21bbf| + |putColorInfo| |isAtom| |iiasinh| |unparse| |realEigenvectors| + |partialNumerators| |stiffnessAndStabilityFactor| |reducedForm| + |axesColorDefault| |component| |makeEq| |symmetricGroup| |fixedPoint| + |plot| |unitCanonical| |vector| |binary| |clearFortranOutputStack| + |KrullNumber| |baseRDEsys| |initials| |bipolar| |comp| |s15adf| + |bivariateSLPEBR| |invertIfCan| |differentiate| |s18adf| |rst| + |s20acf| |idealiser| |contains?| |coerce| |errorKind| |listBranches| + |generalInfiniteProduct| |separateFactors| |createPrimitiveNormalPoly| + |source| |inrootof| |lagrange| |unitNormal| |pushup| |construct| + |monicRightFactorIfCan| |pointLists| |prepareSubResAlgo| |orbits| + |leftCharacteristicPolynomial| |fortranInteger| |eigenMatrix| |stack| + |var1Steps| |sqfree| |primextintfrac| |rank| |addmod| |normalDenom| + |d03faf| |linearlyDependent?| |shrinkable| |quote| |xn| |minus!| + |omError| |clearTheFTable| |selectPolynomials| |bombieriNorm| |name| + |basicSet| |factorset| |dual| |central?| |mapmult| |bandedJacobian| + |mapUnivariateIfCan| |algebraic?| |f04adf| |body| |Lazard| |every?| + |minset| |mapExponents| |PollardSmallFactor| |setright!| |expPot| + |PDESolve| |column| |outputList| |UP2ifCan| |target| |rangeIsFinite| + |remove!| |queue| |pseudoRemainder| |accuracyIF| |next| + |createMultiplicationTable| |logIfCan| |exprHasLogarithmicWeights| + |coordinate| |computeInt| |prime| |f04mbf| |setMaxPoints3D| |leaves| + |invertibleElseSplit?| |absolutelyIrreducible?| |collectUpper| + |Vectorise| |chineseRemainder| |scripted?| |OMserve| |schema| |leader| + |curveColor| |quasiMonicPolynomials| |extractIndex| |UnVectorise| + |key?| |showRegion| |primlimintfrac| |nthFactor| |reverse| |lists| + |untab| |s17agf| |patternVariable| |wreath| |polarCoordinates| + |LyndonCoordinates| |is?| |screenResolution| |hexDigit| |jacobi| + |setvalue!| |extractPoint| |rk4f| |checkPrecision| |fi2df| |cycleTail| + |symmetricProduct| |stosePrepareSubResAlgo| |diag| |trueEqual| + |setFieldInfo| |e02ajf| |port| |newReduc| |clipSurface| |leftOne| + |expenseOfEvaluation| |s14baf| |plus!| |getGraph| |contractSolve| + |e01sff| |f02wef| |alternatingGroup| |rename| |submod| |hcrf| |empty| + |numberOfPrimitivePoly| |t| |dequeue!| |currentSubProgram| |Aleph| + |lfextlimint| |d01alf| |normal| |fullDisplay| |permutationGroup| + |evenInfiniteProduct| |FormatArabic| |writeBytes!| |addPointLast| + |seriesSolve| |commutative?| |antiCommutator| |factors| + |factorFraction| |deriv| |iiacsch| |fortranLiteralLine| |remainder| + |rowEchLocal| |setelt| |localUnquote| |tanAn| |extendedint| |child| + |setVariableOrder| |atanhIfCan| |getCurve| |listRepresentation| |f2df| + |pastel| |rule| |OMmakeConn| |shufflein| |mindeg| |graphImage| + |startTableInvSet!| |arguments| |deepExpand| |copy| |viewDefaults| + |solveRetract| |closedCurve?| |uniform01| |splitNodeOf!| |perfectSqrt| + |dark| |xor| |coHeight| |transcendent?| |reopen!| |maxrow| |pol| + |direction| |digit| |prevPrime| |digamma| |case| + |leftMinimalPolynomial| |depth| |basisOfLeftNucleus| |genericLeftNorm| + |removeSuperfluousCases| |weierstrass| |repeatUntilLoop| + |inconsistent?| |Zero| |open?| |c06gsf| |selectSumOfSquaresRoutines| + |countRealRoots| |unary?| |irCtor| |mapMatrixIfCan| |One| |hermite| + |zeroSquareMatrix| |primeFrobenius| |true| |match?| + |createPrimitivePoly| GF2FG |in?| |twist| |split| |autoCoerce| |scale| + |characteristic| |getOperator| |removeIrreducibleRedundantFactors| + |smith| |BumInSepFFE| |rightMinimalPolynomial| |equality| |initTable!| + |basisOfCentroid| |insertBottom!| UTS2UP |tubePoints| |paren| + |outlineRender| |nodes| |generalizedEigenvectors| |leastMonomial| + |measure2Result| |stFunc1| |imagI| |symmetricDifference| + |plusInfinity| |rubiksGroup| |s20adf| |maxPoints| |dot| |multinomial| + |exp1| |binaryFunction| |OMopenFile| |minusInfinity| |moduleSum| + |adaptive3D?| |closedCurve| |elt| |countable?| |random| + |partialDenominators| |pointColor| |kovacic| |atoms| |cubic| + |constantOperator| |has?| |LiePolyIfCan| |rightRankPolynomial| + |stopTableInvSet!| |functionIsContinuousAtEndPoints| + |removeRoughlyRedundantFactorsInPol| |partialFraction| |iiacoth| + |seriesToOutputForm| |droot| |nextIrreduciblePoly| |OMwrite| + |setValue!| |linearDependenceOverZ| |inverseIntegralMatrixAtInfinity| + |colorDef| |getProperties| |leftMult| |imaginary| |checkRur| |e02gaf| + |alternative?| |rectangularMatrix| |nil?| |possiblyInfinite?| + |elColumn2!| |internalAugment| |exptMod| |int| |subResultantsChain| + |karatsuba| |semicolonSeparate| |magnitude| |copy!| |extend| + |makeTerm| |OMencodingSGML| |symmetricTensors| |iicsch| |hue| + |HermiteIntegrate| |cyclicEntries| |Lazard2| |multiEuclideanTree| + |frst| |removeRoughlyRedundantFactorsInPols| |controlPanel| + |symmetricPower| |listYoungTableaus| |OMgetType| |sinh2csch| + |quotientByP| |dmpToP| |cartesian| |cAsin| |iflist2Result| |sequences| + |rightTrim| |leftZero| |regularRepresentation| |kmax| |f01ref| |birth| + |epilogue| |iisin| |tower| |innerSolve1| |nil| |infinite| |arbitraryExponent| |approximate| |complex| |shallowMutable| |canonical| |noetherian| |central| |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors| diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase index a69f4976..c0ff297d 100644 --- a/src/share/algebra/interp.daase +++ b/src/share/algebra/interp.daase @@ -1,5431 +1,5431 @@ -(3262608 . 3486841638) -((-1390 (((-112) (-1 (-112) |#2| |#2|) $) 86) 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((-576) $)) (-15 -3037 ((-576) $)) (-15 -1689 ((-783) $)) (-15 -1699 ((-783) $)) (-15 -2796 (|t#1| $ (-576) (-576))) (-15 -4272 (|t#1| $ (-576) (-576))) (-15 -2796 (|t#1| $ (-576) (-576) |t#1|)) (-15 -1575 (|t#2| $ (-576))) (-15 -4203 (|t#3| $ (-576))) (-15 -3965 ((-656 |t#1|) $)) (-15 -3755 (|t#1| $ (-576) (-576) |t#1|)) (-15 -4332 (|t#1| $ (-576) (-576) |t#1|)) (-15 -3100 ($ $ (-576) |t#2|)) (-15 -1891 ($ $ (-576) |t#3|)) (-15 -4116 ($ (-1 |t#1| |t#1|) $)) (-15 -4326 ($ (-1 |t#1| |t#1|) $)) (-15 -4116 ($ (-1 |t#1| |t#1| |t#1|) $ $)) (-15 -4116 ($ (-1 |t#1| |t#1| |t#1|) $ $ |t#1|)))) -(((-34) . T) ((-102) -2759 (|has| |#1| (-1121)) (|has| |#1| (-102))) ((-625 (-876)) -2759 (|has| |#1| (-1121)) (|has| |#1| (-625 (-876)))) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-501 |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-1121) |has| |#1| (-1121)) ((-1238) . T)) -((-3120 (((-59 |#2|) (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|) 16)) (-3685 ((|#2| (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|) 18)) (-4116 (((-59 |#2|) (-1 |#2| |#1|) (-59 |#1|)) 13))) -(((-58 |#1| |#2|) (-10 -7 (-15 -3120 ((-59 |#2|) (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -3685 (|#2| (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -4116 ((-59 |#2|) (-1 |#2| |#1|) (-59 |#1|)))) (-1238) (-1238)) (T -58)) -((-4116 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-59 *5)) (-4 *5 (-1238)) (-4 *6 (-1238)) (-5 *2 (-59 *6)) (-5 *1 (-58 *5 *6)))) (-3685 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-59 *5)) (-4 *5 (-1238)) (-4 *2 (-1238)) (-5 *1 (-58 *5 *2)))) (-3120 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-59 *6)) (-4 *6 (-1238)) (-4 *5 (-1238)) (-5 *2 (-59 *5)) (-5 *1 (-58 *6 *5))))) -(-10 -7 (-15 -3120 ((-59 |#2|) (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -3685 (|#2| (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -4116 ((-59 |#2|) (-1 |#2| |#1|) (-59 |#1|)))) -((-3488 (((-112) $ $) NIL (|has| |#1| (-102)))) (-1512 (((-1293) $ (-576) (-576)) NIL (|has| $ (-6 -4465)))) (-1390 (((-112) (-1 (-112) |#1| |#1|) $) NIL) (((-112) $) NIL (|has| |#1| (-861)))) (-3039 (($ (-1 (-112) |#1| |#1|) $) NIL (|has| $ (-6 -4465))) (($ $) NIL (-12 (|has| $ (-6 -4465)) (|has| |#1| (-861))))) (-1795 (($ (-1 (-112) |#1| |#1|) $) NIL) (($ $) NIL (|has| |#1| (-861)))) (-4264 (((-112) $ (-783)) NIL)) (-3755 ((|#1| $ (-576) |#1|) NIL (|has| $ (-6 -4465))) ((|#1| $ (-1255 (-576)) |#1|) NIL (|has| $ (-6 -4465)))) (-1974 (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464)))) (-3404 (($) NIL T CONST)) (-3092 (($ $) NIL (|has| $ (-6 -4465)))) (-3835 (($ $) NIL)) (-2034 (($ $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-3945 (($ |#1| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121)))) (($ (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464)))) (-3685 ((|#1| (-1 |#1| |#1| |#1|) $ |#1| |#1|) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121)))) ((|#1| (-1 |#1| |#1| |#1|) $ |#1|) NIL (|has| $ (-6 -4464))) ((|#1| (-1 |#1| |#1| |#1|) $) NIL (|has| $ (-6 -4464)))) (-4332 ((|#1| $ (-576) |#1|) NIL (|has| $ (-6 -4465)))) (-4272 ((|#1| $ (-576)) NIL)) (-3659 (((-576) (-1 (-112) |#1|) $) NIL) (((-576) |#1| $) NIL (|has| |#1| (-1121))) (((-576) |#1| $ (-576)) NIL (|has| |#1| (-1121)))) (-3965 (((-656 |#1|) $) NIL (|has| $ (-6 -4464)))) (-3961 (($ (-656 |#1|)) 11) (($ (-783) |#1|) 14)) (-4140 (($ (-783) |#1|) 13)) (-1368 (((-112) $ (-783)) NIL)) (-3281 (((-576) $) NIL (|has| (-576) (-861)))) (-3124 (($ $ $) NIL (|has| |#1| (-861)))) (-2185 (($ (-1 (-112) |#1| |#1|) $ $) NIL) (($ $ $) NIL (|has| |#1| (-861)))) (-2425 (((-656 |#1|) $) NIL (|has| $ (-6 -4464)))) (-2885 (((-112) |#1| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-4280 (((-576) $) NIL (|has| (-576) (-861)))) (-1441 (($ $ $) NIL (|has| |#1| (-861)))) (-4326 (($ (-1 |#1| |#1|) $) NIL (|has| $ (-6 -4465)))) (-4116 (($ (-1 |#1| |#1|) $) NIL) (($ (-1 |#1| |#1| |#1|) $ $) NIL)) (-2883 (((-112) $ (-783)) NIL)) (-2046 (((-1179) $) NIL (|has| |#1| (-1121)))) (-2176 (($ |#1| $ (-576)) NIL) (($ $ $ (-576)) NIL)) (-3669 (((-656 (-576)) $) NIL)) (-3090 (((-112) (-576) $) NIL)) (-1450 (((-1141) $) NIL (|has| |#1| (-1121)))) (-3580 ((|#1| $) NIL (|has| (-576) (-861)))) (-3434 (((-3 |#1| "failed") (-1 (-112) |#1|) $) NIL)) (-2304 (($ $ |#1|) NIL (|has| $ (-6 -4465)))) (-3252 (((-112) (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464)))) (-3282 (($ $ (-656 (-304 |#1|))) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-2252 (((-112) $ $) NIL)) (-4282 (((-112) |#1| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-3207 (((-656 |#1|) $) NIL)) (-2940 (((-112) $) NIL)) (-3579 (($) NIL)) (-2796 ((|#1| $ (-576) |#1|) NIL) ((|#1| $ (-576)) NIL) (($ $ (-1255 (-576))) NIL)) (-3465 (($ $ (-576)) NIL) (($ $ (-1255 (-576))) NIL)) (-1460 (((-783) (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464))) (((-783) |#1| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-2840 (($ $ $ (-576)) NIL (|has| $ (-6 -4465)))) (-1870 (($ $) NIL)) (-4171 (((-548) $) NIL (|has| |#1| (-626 (-548))))) (-3581 (($ (-656 |#1|)) 10)) (-1615 (($ $ |#1|) NIL) (($ |#1| $) NIL) (($ $ $) NIL) (($ (-656 $)) NIL)) (-3569 (((-876) $) NIL (|has| |#1| (-625 (-876))))) (-2399 (((-112) $ $) NIL (|has| |#1| (-102)))) (-2708 (((-112) (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464)))) (-2990 (((-112) $ $) NIL (|has| |#1| (-861)))) (-2962 (((-112) $ $) NIL (|has| |#1| (-861)))) (-2924 (((-112) $ $) NIL (|has| |#1| (-102)))) (-2978 (((-112) $ $) NIL (|has| |#1| (-861)))) (-2949 (((-112) $ $) NIL (|has| |#1| (-861)))) (-3502 (((-783) $) NIL (|has| $ (-6 -4464))))) -(((-59 |#1|) (-13 (-19 |#1|) (-10 -8 (-15 -3961 ($ (-656 |#1|))) (-15 -3961 ($ (-783) |#1|)))) (-1238)) (T -59)) -((-3961 (*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-5 *1 (-59 *3)))) (-3961 (*1 *1 *2 *3) (-12 (-5 *2 (-783)) (-5 *1 (-59 *3)) (-4 *3 (-1238))))) -(-13 (-19 |#1|) (-10 -8 (-15 -3961 ($ (-656 |#1|))) (-15 -3961 ($ (-783) |#1|)))) -((-3488 (((-112) $ $) NIL (|has| |#1| (-102)))) (-4264 (((-112) $ (-783)) NIL)) (-3755 ((|#1| $ (-576) (-576) |#1|) NIL)) (-3100 (($ $ (-576) (-59 |#1|)) NIL)) (-1891 (($ $ (-576) (-59 |#1|)) NIL)) (-3404 (($) NIL T CONST)) (-1575 (((-59 |#1|) $ (-576)) NIL)) (-4332 ((|#1| $ (-576) (-576) |#1|) NIL)) (-4272 ((|#1| $ (-576) (-576)) NIL)) (-3965 (((-656 |#1|) $) NIL)) (-1689 (((-783) $) NIL)) (-4140 (($ (-783) (-783) |#1|) NIL)) (-1699 (((-783) $) NIL)) (-1368 (((-112) $ (-783)) NIL)) (-4017 (((-576) $) NIL)) (-3144 (((-576) $) NIL)) (-2425 (((-656 |#1|) $) NIL (|has| $ (-6 -4464)))) (-2885 (((-112) |#1| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-3550 (((-576) $) NIL)) (-3037 (((-576) $) NIL)) (-4326 (($ (-1 |#1| |#1|) $) NIL)) (-4116 (($ (-1 |#1| |#1|) $) NIL) (($ (-1 |#1| |#1| |#1|) $ $) NIL) (($ (-1 |#1| |#1| |#1|) $ $ |#1|) NIL)) (-2883 (((-112) $ (-783)) NIL)) (-2046 (((-1179) $) NIL (|has| |#1| (-1121)))) (-1450 (((-1141) $) NIL (|has| |#1| (-1121)))) (-2304 (($ $ |#1|) NIL)) (-3252 (((-112) (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464)))) (-3282 (($ $ (-656 (-304 |#1|))) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) NIL (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-2252 (((-112) $ $) NIL)) (-2940 (((-112) $) NIL)) (-3579 (($) NIL)) (-2796 ((|#1| $ (-576) (-576)) NIL) ((|#1| $ (-576) (-576) |#1|) NIL)) (-1460 (((-783) (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464))) (((-783) |#1| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#1| (-1121))))) (-1870 (($ $) NIL)) (-4203 (((-59 |#1|) $ (-576)) NIL)) (-3569 (((-876) $) NIL (|has| |#1| (-625 (-876))))) (-2399 (((-112) $ $) NIL (|has| |#1| (-102)))) (-2708 (((-112) (-1 (-112) |#1|) $) NIL (|has| $ (-6 -4464)))) (-2924 (((-112) $ $) NIL (|has| |#1| (-102)))) (-3502 (((-783) $) NIL (|has| $ (-6 -4464))))) +((-2423 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)))) (-1990 (*1 *1 *2 *2 *3) (-12 (-5 *2 (-783)) (-4 *3 (-1238)) (-4 *1 (-57 *3 *4 *5)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)))) (-1742 (*1 *1 *1 *2) (-12 (-4 *1 (-57 *2 *3 *4)) (-4 *2 (-1238)) (-4 *3 (-384 *2)) (-4 *4 (-384 *2)))) (-2915 (*1 *2 *1) (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) (-5 *2 (-576)))) (-3992 (*1 *2 *1) (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) (-5 *2 (-576)))) (-2280 (*1 *2 *1) (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)) (-5 *2 (-576)))) (-2521 (*1 *2 *1) (-12 (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 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(-12 (-5 *3 (-576)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1238)) (-4 *4 (-384 *2)) (-4 *5 (-384 *2)))) (-1910 (*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-576)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1238)) (-4 *4 (-384 *2)) (-4 *5 (-384 *2)))) (-1860 (*1 *1 *1 *2 *3) (-12 (-5 *2 (-576)) (-4 *1 (-57 *4 *3 *5)) (-4 *4 (-1238)) (-4 *3 (-384 *4)) (-4 *5 (-384 *4)))) (-3369 (*1 *1 *1 *2 *3) (-12 (-5 *2 (-576)) (-4 *1 (-57 *4 *5 *3)) (-4 *4 (-1238)) (-4 *5 (-384 *4)) (-4 *3 (-384 *4)))) (-1898 (*1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)))) (-2423 (*1 *1 *2 *1 *1) (-12 (-5 *2 (-1 *3 *3 *3)) (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3)))) (-2423 (*1 *1 *2 *1 *1 *3) (-12 (-5 *2 (-1 *3 *3 *3)) (-4 *1 (-57 *3 *4 *5)) (-4 *3 (-1238)) (-4 *4 (-384 *3)) (-4 *5 (-384 *3))))) +(-13 (-501 |t#1|) (-10 -8 (-6 -4465) (-6 -4464) (-15 -1990 ($ (-783) (-783) |t#1|)) (-15 -1742 ($ $ |t#1|)) (-15 -2915 ((-576) $)) (-15 -3992 ((-576) $)) 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T) ((-102) -3795 (|has| |#1| (-1121)) (|has| |#1| (-102))) ((-625 (-876)) -3795 (|has| |#1| (-1121)) (|has| |#1| (-625 (-876)))) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-501 |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-1121) |has| |#1| (-1121)) ((-1238) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) -2759 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-38 |#1|) . T) ((-38 $) -2759 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-35) |has| |#1| (-1223)) ((-95) |has| |#1| (-1223)) ((-102) . T) ((-111 #0# #0#) -2759 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2759 (|has| |#1| (-360)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-628 #0#) -2759 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-360)) (|has| |#1| (-374))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 $) -2759 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-625 (-876)) . T) ((-174) . T) ((-626 (-171 (-227))) |has| |#1| (-1043)) ((-626 (-171 (-390))) |has| |#1| (-1043)) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-907 (-390))) |has| |#1| (-626 (-907 (-390)))) ((-626 (-907 (-576))) |has| |#1| (-626 (-907 (-576)))) ((-626 #1=(-1193 |#1|)) . 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T) ((-911 $ #3=(-1197)) -2759 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-919 #3#) -2759 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-901 (-390)) |has| |#1| (-901 (-390))) ((-901 (-576)) |has| |#1| (-901 (-576))) ((-899 |#1|) . T) ((-928) -12 (|has| |#1| (-317)) (|has| |#1| (-928))) ((-939) -2759 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-1023) -12 (|has| |#1| (-1023)) (|has| |#1| (-1223))) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T) ((-1072 #0#) -2759 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1072 |#1|) . T) ((-1072 $) . T) ((-1077 #0#) -2759 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1077 |#1|) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-360)) ((-1223) |has| |#1| (-1223)) ((-1226) |has| |#1| (-1223)) ((-1238) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-38 |#1|) . T) ((-38 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-35) |has| |#1| (-1223)) ((-95) |has| |#1| (-1223)) ((-102) . T) ((-111 #0# #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -3795 (|has| |#1| (-360)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-628 #0#) -3795 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-360)) (|has| |#1| (-374))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-625 (-876)) . T) ((-174) . T) ((-626 (-171 (-227))) |has| |#1| (-1043)) ((-626 (-171 (-390))) |has| |#1| (-1043)) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-907 (-390))) |has| |#1| (-626 (-907 (-390)))) ((-626 (-907 (-576))) |has| |#1| (-626 (-907 (-576)))) ((-626 #1=(-1193 |#1|)) . 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T) ((-464) -3795 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-505) |has| |#1| (-1223)) ((-526 (-1197) |#1|) |has| |#1| (-526 (-1197) |#1|)) ((-526 |#1| |#1|) |has| |#1| (-319 |#1|)) ((-568) -3795 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-658 #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-660 #2=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-652 |#1|) . T) ((-652 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-651 #2#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-729 |#1|) . T) ((-729 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-736 |#1| #1#) . T) ((-738) . T) ((-911 $ #3=(-1197)) -3795 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-919 #3#) -3795 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-901 (-390)) |has| |#1| (-901 (-390))) ((-901 (-576)) |has| |#1| (-901 (-576))) ((-899 |#1|) . T) ((-928) -12 (|has| |#1| (-317)) (|has| |#1| (-928))) ((-939) -3795 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-1023) -12 (|has| |#1| (-1023)) (|has| |#1| (-1223))) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T) ((-1072 #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1072 |#1|) . T) ((-1072 $) . T) ((-1077 #0#) -3795 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1077 |#1|) . T) ((-1077 $) . T) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-360)) ((-1223) |has| |#1| (-1223)) ((-1226) |has| |#1| (-1223)) ((-1238) . 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T) ((-102) -2759 (|has| |#2| (-1121)) (|has| |#2| (-1070)) (|has| |#2| (-861)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -2759 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-132) -2759 (|has| |#2| (-1070)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-21))) ((-628 #0=(-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121))) ((-628 (-576)) -2759 (|has| |#2| (-1070)) (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121)))) ((-628 |#2|) |has| |#2| (-1121)) ((-625 (-876)) -2759 (|has| |#2| (-1121)) (|has| |#2| (-1070)) (|has| |#2| (-861)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-625 (-876))) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-625 (-1288 |#2|)) . T) ((-234 $) -2759 (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1070)))) ((-232 |#2|) |has| |#2| (-1070)) ((-238) -12 (|has| |#2| (-238)) (|has| |#2| (-1070))) ((-237) -2759 (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1070)))) ((-272 |#2|) |has| |#2| (-1070)) ((-296 #1=(-576) |#2|) . T) ((-298 #1# |#2|) . T) ((-319 |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((-379) |has| |#2| (-379)) ((-388 |#2|) |has| |#2| (-1070)) ((-423 |#2|) |has| |#2| (-1121)) ((-501 |#2|) . T) ((-616 #1# |#2|) . T) ((-526 |#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((-658 (-576)) -2759 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-658 |#2|) -2759 (|has| |#2| (-1070)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-658 $) |has| |#2| (-1070)) ((-660 #2=(-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070))) ((-660 |#2|) -2759 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-660 $) |has| |#2| (-1070)) ((-652 |#2|) -2759 (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-651 #2#) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070))) ((-651 |#2|) |has| |#2| (-1070)) ((-729 |#2|) -2759 (|has| |#2| (-374)) (|has| |#2| (-174))) ((-738) |has| |#2| (-1070)) ((-804) |has| |#2| (-805)) ((-805) |has| |#2| (-805)) ((-806) |has| |#2| (-805)) ((-807) |has| |#2| (-805)) ((-861) -2759 (|has| |#2| (-861)) (|has| |#2| (-805))) ((-864) -2759 (|has| |#2| (-861)) (|has| |#2| (-805))) ((-911 $ #3=(-1197)) -2759 (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070)))) ((-917 (-1197)) -12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) ((-919 #3#) -2759 (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070)))) ((-1059 #0#) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121))) ((-1059 (-576)) -12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) ((-1059 |#2|) |has| |#2| (-1121)) ((-1072 |#2|) -2759 (|has| |#2| (-1070)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1077 |#2|) -2759 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1070) |has| |#2| (-1070)) ((-1079) |has| |#2| (-1070)) ((-1133) |has| |#2| (-1070)) ((-1121) -2759 (|has| |#2| (-1121)) (|has| |#2| (-1070)) (|has| |#2| (-861)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-1238) . T) ((-1295 |#2|) |has| |#2| (-374))) -((-3120 (((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 21)) (-3685 ((|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 23)) (-4116 (((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)) 18))) -(((-244 |#1| |#2| |#3|) (-10 -7 (-15 -3120 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -3685 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -4116 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) (-783) (-1238) (-1238)) (T -244)) -((-4116 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1238)) (-4 *7 (-1238)) (-5 *2 (-245 *5 *7)) (-5 *1 (-244 *5 *6 *7)))) (-3685 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1238)) (-4 *2 (-1238)) (-5 *1 (-244 *5 *6 *2)))) (-3120 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-245 *6 *7)) (-14 *6 (-783)) (-4 *7 (-1238)) (-4 *5 (-1238)) (-5 *2 (-245 *6 *5)) (-5 *1 (-244 *6 *7 *5))))) -(-10 -7 (-15 -3120 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -3685 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -4116 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) -((-3488 (((-112) $ $) NIL (|has| |#2| (-102)))) (-3135 (((-112) $) NIL (|has| |#2| (-23)))) (-1545 (($ (-940)) 62 (|has| |#2| (-1070)))) (-1512 (((-1293) $ (-576) (-576)) NIL (|has| $ (-6 -4465)))) (-2386 (($ $ $) 68 (|has| |#2| (-805)))) (-2428 (((-3 $ "failed") $ $) 53 (|has| |#2| (-132)))) (-4264 (((-112) $ (-783)) NIL)) (-2098 (((-783)) NIL (|has| |#2| (-379)))) (-3755 ((|#2| $ (-576) |#2|) NIL (|has| $ (-6 -4465)))) (-3404 (($) NIL T CONST)) (-1572 (((-3 (-576) "failed") $) NIL (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121)))) (((-3 (-419 (-576)) "failed") $) NIL (-12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) (((-3 |#2| "failed") $) 30 (|has| |#2| (-1121)))) (-2859 (((-576) $) NIL (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121)))) (((-419 (-576)) $) NIL (-12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) ((|#2| $) 28 (|has| |#2| (-1121)))) (-3674 (((-701 (-576)) (-701 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) (((-2 (|:| -3232 (-701 (-576))) (|:| |vec| (-1288 (-576)))) (-701 $) (-1288 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) (((-2 (|:| -3232 (-701 |#2|)) (|:| |vec| (-1288 |#2|))) (-701 $) (-1288 $)) NIL (|has| |#2| (-1070))) (((-701 |#2|) (-701 $)) NIL (|has| |#2| (-1070)))) (-3673 (((-3 $ "failed") $) 58 (|has| |#2| (-1070)))) (-1836 (($) NIL (|has| |#2| (-379)))) (-4332 ((|#2| $ (-576) |#2|) NIL (|has| $ (-6 -4465)))) (-4272 ((|#2| $ (-576)) 56)) (-3965 (((-656 |#2|) $) 14 (|has| $ (-6 -4464)))) (-1351 (((-112) $) NIL (|has| |#2| (-1070)))) (-1368 (((-112) $ (-783)) NIL)) (-3281 (((-576) $) 19 (|has| (-576) (-861)))) (-3124 (($ $ $) NIL (|has| |#2| (-861)))) (-2425 (((-656 |#2|) $) NIL (|has| $ (-6 -4464)))) (-2885 (((-112) |#2| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#2| (-1121))))) (-4280 (((-576) $) NIL (|has| (-576) (-861)))) (-1441 (($ $ $) NIL (|has| |#2| (-861)))) (-4326 (($ (-1 |#2| |#2|) $) NIL (|has| $ (-6 -4465)))) (-4116 (($ (-1 |#2| |#2|) $) NIL)) (-1558 (((-940) $) NIL (|has| |#2| (-379)))) (-2883 (((-112) $ (-783)) NIL)) (-3676 (((-701 (-576)) (-1288 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) (((-2 (|:| -3232 (-701 (-576))) (|:| |vec| (-1288 (-576)))) (-1288 $) $) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070)))) (((-2 (|:| -3232 (-701 |#2|)) (|:| |vec| (-1288 |#2|))) (-1288 $) $) NIL (|has| |#2| (-1070))) (((-701 |#2|) (-1288 $)) NIL (|has| |#2| (-1070)))) (-2046 (((-1179) $) NIL (|has| |#2| (-1121)))) (-3669 (((-656 (-576)) $) NIL)) (-3090 (((-112) (-576) $) NIL)) (-3223 (($ (-940)) NIL (|has| |#2| (-379)))) (-1450 (((-1141) $) NIL (|has| |#2| (-1121)))) (-3580 ((|#2| $) NIL (|has| (-576) (-861)))) (-2304 (($ $ |#2|) NIL (|has| $ (-6 -4465)))) (-3252 (((-112) (-1 (-112) |#2|) $) 23 (|has| $ (-6 -4464)))) (-3282 (($ $ 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NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1197)) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1 |#2| |#2|)) NIL (|has| |#2| (-1070))) (($ $ (-1 |#2| |#2|) (-783)) NIL (|has| |#2| (-1070)))) (-1460 (((-783) (-1 (-112) |#2|) $) NIL (|has| $ (-6 -4464))) (((-783) |#2| $) NIL (-12 (|has| $ (-6 -4464)) (|has| |#2| (-1121))))) (-1870 (($ $) NIL)) (-3569 (((-1288 |#2|) $) 9) (($ (-576)) NIL (-2759 (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) (|has| |#2| (-1070)))) (($ (-419 (-576))) NIL (-12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121)))) (($ |#2|) 12 (|has| |#2| (-1121))) (((-876) $) NIL (|has| |#2| (-625 (-876))))) (-3154 (((-783)) NIL (|has| |#2| (-1070)) CONST)) (-2399 (((-112) $ $) NIL (|has| |#2| (-102)))) (-2708 (((-112) (-1 (-112) |#2|) $) NIL (|has| $ (-6 -4464)))) (-2721 (($) 36 (|has| |#2| (-23)) CONST)) (-2731 (($) 40 (|has| |#2| (-1070)) CONST)) (-2020 (($ $ (-783)) NIL (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) (($ $) NIL (-12 (|has| |#2| (-237)) (|has| |#2| (-1070)))) (($ $ (-656 (-1197)) (-656 (-783))) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1197) (-783)) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-656 (-1197))) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1197)) NIL (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070)))) (($ $ (-1 |#2| |#2|)) NIL (|has| |#2| (-1070))) (($ $ (-1 |#2| |#2|) (-783)) NIL (|has| |#2| (-1070)))) (-2990 (((-112) $ $) NIL (|has| |#2| (-861)))) (-2962 (((-112) $ $) NIL (|has| |#2| (-861)))) (-2924 (((-112) $ $) 27 (|has| |#2| (-102)))) (-2978 (((-112) $ $) NIL (|has| |#2| (-861)))) (-2949 (((-112) $ $) 66 (|has| |#2| (-861)))) (-3056 (($ $ |#2|) NIL (|has| |#2| (-374)))) (-3043 (($ $ $) NIL (|has| |#2| (-21))) (($ $) NIL (|has| |#2| (-21)))) (-3029 (($ $ $) 34 (|has| |#2| (-25)))) (** (($ $ (-783)) NIL (|has| |#2| (-1070))) (($ $ (-940)) NIL (|has| |#2| (-1070)))) (* (($ $ $) 46 (|has| |#2| (-1070))) (($ $ |#2|) 44 (|has| |#2| (-738))) (($ |#2| $) 45 (|has| |#2| (-738))) (($ (-576) $) NIL (|has| |#2| (-21))) (($ (-783) $) NIL (|has| |#2| (-23))) (($ (-940) $) NIL (|has| |#2| (-25)))) (-3502 (((-783) $) NIL (|has| $ (-6 -4464))))) +((-1492 (*1 *1 *2) (-12 (-5 *2 (-1288 *4)) (-4 *4 (-1238)) (-4 *1 (-243 *3 *4)))) (-3056 (*1 *1 *2) (-12 (-5 *2 (-940)) (-4 *1 (-243 *3 *4)) (-4 *4 (-1070)) (-4 *4 (-1238)))) (-4360 (*1 *2 *1 *1) (-12 (-4 *1 (-243 *3 *2)) (-4 *2 (-1238)) (-4 *2 (-1070))))) +(-13 (-616 (-576) |t#2|) (-625 (-1288 |t#2|)) (-10 -8 (-6 -4464) (-15 -1492 ($ (-1288 |t#2|))) (IF (|has| |t#2| (-1121)) (-6 (-423 |t#2|)) |%noBranch|) (IF (|has| |t#2| (-1070)) (PROGN (-6 (-111 |t#2| |t#2|)) (-6 (-232 |t#2|)) (-6 (-388 |t#2|)) (-15 -3056 ($ (-940))) (-15 -4360 (|t#2| $ $))) |%noBranch|) (IF (|has| |t#2| (-25)) (-6 (-25)) |%noBranch|) (IF (|has| |t#2| (-132)) (-6 (-132)) |%noBranch|) (IF (|has| |t#2| (-23)) (-6 (-23)) |%noBranch|) (IF (|has| |t#2| (-21)) (-6 (-21)) |%noBranch|) (IF (|has| |t#2| (-738)) (-6 (-652 |t#2|)) |%noBranch|) (IF (|has| |t#2| (-379)) (-6 (-379)) |%noBranch|) (IF (|has| |t#2| (-174)) (-6 (-729 |t#2|)) |%noBranch|) (IF (|has| |t#2| (-6 -4461)) (-6 -4461) |%noBranch|) (IF (|has| |t#2| (-861)) (-6 (-861)) |%noBranch|) (IF (|has| |t#2| (-805)) (-6 (-805)) |%noBranch|) (IF (|has| |t#2| (-374)) (-6 (-1295 |t#2|)) |%noBranch|))) +(((-21) -3795 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-23) -3795 (|has| |#2| (-1070)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-25) -3795 (|has| |#2| (-1070)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-34) . T) ((-102) -3795 (|has| |#2| (-1121)) (|has| |#2| (-1070)) (|has| |#2| (-861)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -3795 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-132) -3795 (|has| |#2| (-1070)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-21))) ((-628 #0=(-419 (-576))) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121))) ((-628 (-576)) -3795 (|has| |#2| (-1070)) (-12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121)))) ((-628 |#2|) |has| |#2| (-1121)) ((-625 (-876)) -3795 (|has| |#2| (-1121)) (|has| |#2| (-1070)) (|has| |#2| (-861)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-625 (-876))) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-625 (-1288 |#2|)) . T) ((-234 $) -3795 (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1070)))) ((-232 |#2|) |has| |#2| (-1070)) ((-238) -12 (|has| |#2| (-238)) (|has| |#2| (-1070))) ((-237) -3795 (-12 (|has| |#2| (-237)) (|has| |#2| (-1070))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1070)))) ((-272 |#2|) |has| |#2| (-1070)) ((-296 #1=(-576) |#2|) . T) ((-298 #1# |#2|) . T) ((-319 |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((-379) |has| |#2| (-379)) ((-388 |#2|) |has| |#2| (-1070)) ((-423 |#2|) |has| |#2| (-1121)) ((-501 |#2|) . T) ((-616 #1# |#2|) . T) ((-526 |#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1121))) ((-658 (-576)) -3795 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-658 |#2|) -3795 (|has| |#2| (-1070)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-658 $) |has| |#2| (-1070)) ((-660 #2=(-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070))) ((-660 |#2|) -3795 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-660 $) |has| |#2| (-1070)) ((-652 |#2|) -3795 (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-651 #2#) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1070))) ((-651 |#2|) |has| |#2| (-1070)) ((-729 |#2|) -3795 (|has| |#2| (-374)) (|has| |#2| (-174))) ((-738) |has| |#2| (-1070)) ((-804) |has| |#2| (-805)) ((-805) |has| |#2| (-805)) ((-806) |has| |#2| (-805)) ((-807) |has| |#2| (-805)) ((-861) -3795 (|has| |#2| (-861)) (|has| |#2| (-805))) ((-864) -3795 (|has| |#2| (-861)) (|has| |#2| (-805))) ((-911 $ #3=(-1197)) -3795 (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070)))) ((-917 (-1197)) -12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070))) ((-919 #3#) -3795 (-12 (|has| |#2| (-919 (-1197))) (|has| |#2| (-1070))) (-12 (|has| |#2| (-917 (-1197))) (|has| |#2| (-1070)))) ((-1059 #0#) -12 (|has| |#2| (-1059 (-419 (-576)))) (|has| |#2| (-1121))) ((-1059 (-576)) -12 (|has| |#2| (-1059 (-576))) (|has| |#2| (-1121))) ((-1059 |#2|) |has| |#2| (-1121)) ((-1072 |#2|) -3795 (|has| |#2| (-1070)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1077 |#2|) -3795 (|has| |#2| (-1070)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1070) |has| |#2| (-1070)) ((-1079) |has| |#2| (-1070)) ((-1133) |has| |#2| (-1070)) ((-1121) -3795 (|has| |#2| (-1121)) (|has| |#2| (-1070)) (|has| |#2| (-861)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-1238) . T) ((-1295 |#2|) |has| |#2| (-374))) +((-2064 (((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 21)) (-2722 ((|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 23)) (-2423 (((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)) 18))) +(((-244 |#1| |#2| |#3|) (-10 -7 (-15 -2064 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2722 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2423 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) (-783) (-1238) (-1238)) (T -244)) +((-2423 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1238)) (-4 *7 (-1238)) (-5 *2 (-245 *5 *7)) (-5 *1 (-244 *5 *6 *7)))) (-2722 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1238)) (-4 *2 (-1238)) (-5 *1 (-244 *5 *6 *2)))) (-2064 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-245 *6 *7)) (-14 *6 (-783)) (-4 *7 (-1238)) (-4 *5 (-1238)) (-5 *2 (-245 *6 *5)) (-5 *1 (-244 *6 *7 *5))))) +(-10 -7 (-15 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T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) -2759 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 |#2|) . T) ((-628 |#3|) . T) ((-628 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-625 (-876)) . 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T) ((-568) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-658 #0#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) |has| |#1| (-38 (-419 (-576)))) ((-660 #1=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-651 #1#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-738) . T) ((-911 $ #2=(-1197)) -2759 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-911 $ |#3|) . T) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-917 |#3|) . T) ((-919 #2#) -2759 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-919 |#3|) . T) ((-901 (-390)) -12 (|has| |#1| (-901 (-390))) (|has| |#3| (-901 (-390)))) ((-901 (-576)) -12 (|has| |#1| (-901 (-576))) (|has| |#3| (-901 (-576)))) ((-968 |#1| |#4| |#3|) . T) ((-928) |has| |#1| (-928)) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T) ((-1059 |#2|) . T) ((-1059 |#3|) . T) ((-1072 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1077 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T) ((-1242) |has| |#1| (-928))) -((-3488 (((-112) $ $) 20 (|has| |#1| (-102)))) (-3118 ((|#1| $) 55)) (-1419 ((|#1| $) 45)) (-4264 (((-112) $ (-783)) 8)) (-3404 (($) 7 T CONST)) (-3542 (($ $) 61)) (-3092 (($ $) 49)) (-2944 ((|#1| |#1| $) 47)) (-1718 ((|#1| $) 46)) (-3965 (((-656 |#1|) $) 31 (|has| $ (-6 -4464)))) (-1368 (((-112) $ (-783)) 9)) (-2425 (((-656 |#1|) $) 30 (|has| $ (-6 -4464)))) (-2885 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-4326 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4465)))) (-4116 (($ (-1 |#1| |#1|) $) 36)) (-2883 (((-112) $ (-783)) 10)) (-2435 (((-783) $) 62)) (-2046 (((-1179) $) 23 (|has| |#1| (-1121)))) (-2722 ((|#1| $) 40)) (-3734 ((|#1| |#1| $) 53)) (-3155 ((|#1| |#1| $) 52)) (-2597 (($ |#1| $) 41)) (-2327 (((-783) $) 56)) (-1450 (((-1141) $) 22 (|has| |#1| (-1121)))) (-3374 ((|#1| $) 63)) (-4268 ((|#1| $) 51)) (-2261 ((|#1| $) 50)) (-1541 ((|#1| $) 42)) (-3252 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4464)))) (-3282 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-2252 (((-112) $ $) 14)) (-4098 ((|#1| |#1| $) 59)) (-2940 (((-112) $) 11)) (-3579 (($) 12)) (-3265 ((|#1| $) 60)) (-3852 (($) 58) (($ (-656 |#1|)) 57)) (-1887 (((-783) $) 44)) (-1460 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4464))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-1870 (($ $) 13)) (-3569 (((-876) $) 18 (|has| |#1| (-625 (-876))))) (-2364 ((|#1| $) 54)) (-2399 (((-112) $ $) 21 (|has| |#1| (-102)))) (-3972 (($ (-656 |#1|)) 43)) (-1675 ((|#1| $) 64)) (-2708 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4464)))) (-2924 (((-112) $ $) 19 (|has| |#1| (-102)))) (-3502 (((-783) $) 6 (|has| $ (-6 -4464))))) +((-3986 (*1 *2 *3) (-12 (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *4 *3 *5 *6)))) (-2651 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-656 *4)))) (-1896 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) (-1896 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783)))) (-2364 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) (-3061 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-656 (-783))))) (-4062 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783)))) (-3061 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-656 (-783))))) (-4062 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1070)) (-4 *3 (-861)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) (-2833 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-112)))) (-4195 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *2 *5)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-805)) (-4 *2 (-275 *4)))) (-2294 (*1 *1 *1) (-12 (-4 *1 (-260 *2 *3 *4 *5)) (-4 *2 (-1070)) (-4 *3 (-861)) (-4 *4 (-275 *3)) (-4 *5 (-805)))) (-2541 (*1 *1 *1) (-12 (-4 *1 (-260 *2 *3 *4 *5)) (-4 *2 (-1070)) (-4 *3 (-861)) (-4 *4 (-275 *3)) (-4 *5 (-805)))) (-3986 (*1 *2 *1) (-12 (-4 *3 (-238)) (-4 *3 (-1070)) (-4 *4 (-861)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *3 *4 *5 *6))))) +(-13 (-968 |t#1| |t#4| |t#3|) (-232 |t#1|) (-1059 |t#2|) (-10 -8 (-15 -3986 ((-1 $ (-783)) |t#2|)) (-15 -2651 ((-656 |t#2|) $)) (-15 -1896 ((-783) $ |t#2|)) (-15 -1896 ((-783) $)) (-15 -2364 ((-783) $ |t#2|)) (-15 -3061 ((-656 (-783)) $)) (-15 -4062 ((-783) $)) (-15 -3061 ((-656 (-783)) $ |t#2|)) (-15 -4062 ((-783) $ |t#2|)) (-15 -2833 ((-112) $)) (-15 -4195 (|t#3| $)) (-15 -2294 ($ $)) (-15 -2541 ($ $)) (IF (|has| |t#1| (-238)) (PROGN (-6 (-526 |t#2| |t#1|)) (-6 (-526 |t#2| $)) (-6 (-319 $)) (-15 -3986 ((-1 $ (-783)) $))) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) -3795 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 |#2|) . T) ((-628 |#3|) . T) ((-628 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-625 (-876)) . T) ((-174) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| |#1| (-626 (-548))) (|has| |#3| (-626 (-548)))) ((-626 (-907 (-390))) -12 (|has| |#1| (-626 (-907 (-390)))) (|has| |#3| (-626 (-907 (-390))))) ((-626 (-907 (-576))) -12 (|has| |#1| (-626 (-907 (-576)))) (|has| |#3| (-626 (-907 (-576))))) ((-234 $) -3795 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-232 |#1|) . T) ((-238) |has| |#1| (-238)) ((-237) -3795 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-272 |#1|) . T) ((-300) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-319 $) . T) ((-336 |#1| |#4|) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -3795 (|has| |#1| (-928)) (|has| |#1| (-464))) ((-526 |#2| |#1|) |has| |#1| (-238)) ((-526 |#2| $) |has| |#1| (-238)) ((-526 |#3| |#1|) . T) ((-526 |#3| $) . T) ((-526 $ $) . T) ((-568) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-658 #0#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) |has| |#1| (-38 (-419 (-576)))) ((-660 #1=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-651 #1#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-738) . T) ((-911 $ #2=(-1197)) -3795 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-911 $ |#3|) . T) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-917 |#3|) . T) ((-919 #2#) -3795 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-919 |#3|) . T) ((-901 (-390)) -12 (|has| |#1| (-901 (-390))) (|has| |#3| (-901 (-390)))) ((-901 (-576)) -12 (|has| |#1| (-901 (-576))) (|has| |#3| (-901 (-576)))) ((-968 |#1| |#4| |#3|) . T) ((-928) |has| |#1| (-928)) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 |#1|) . T) ((-1059 |#2|) . T) ((-1059 |#3|) . T) ((-1072 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1077 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1238) . T) ((-1242) |has| |#1| (-928))) +((-1954 (((-112) $ $) 20 (|has| |#1| (-102)))) (-2042 ((|#1| $) 55)) (-3015 ((|#1| $) 45)) (-3573 (((-112) $ (-783)) 8)) (-1877 (($) 7 T CONST)) (-3915 (($ $) 61)) (-1788 (($ $) 49)) (-3038 ((|#1| |#1| $) 47)) (-2194 ((|#1| $) 46)) (-3722 (((-656 |#1|) $) 31 (|has| $ (-6 -4464)))) (-3597 (((-112) $ (-783)) 9)) (-1670 (((-656 |#1|) $) 30 (|has| $ (-6 -4464)))) (-2425 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-1898 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4465)))) (-2423 (($ (-1 |#1| |#1|) $) 36)) (-3728 (((-112) $ (-783)) 10)) (-3108 (((-783) $) 62)) (-2255 (((-1179) $) 23 (|has| |#1| (-1121)))) (-1489 ((|#1| $) 40)) (-1966 ((|#1| |#1| $) 53)) (-4344 ((|#1| |#1| $) 52)) (-2876 (($ |#1| $) 41)) (-2956 (((-783) $) 56)) (-3116 (((-1141) $) 22 (|has| |#1| (-1121)))) (-2841 ((|#1| $) 63)) (-3621 ((|#1| $) 51)) (-2526 ((|#1| $) 50)) (-3009 ((|#1| $) 42)) (-4161 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4464)))) (-2145 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))))) (-2430 (((-112) $ $) 14)) (-2401 ((|#1| |#1| $) 59)) (-3002 (((-112) $) 11)) (-4243 (($) 12)) (-4246 ((|#1| $) 60)) (-3942 (($) 58) (($ (-656 |#1|)) 57)) (-4307 (((-783) $) 44)) (-3126 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4464))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1121)) (|has| $ (-6 -4464))))) (-4287 (($ $) 13)) (-4113 (((-876) $) 18 (|has| |#1| (-625 (-876))))) (-2286 ((|#1| $) 54)) (-1430 (((-112) $ $) 21 (|has| |#1| (-102)))) (-2483 (($ (-656 |#1|)) 43)) (-1773 ((|#1| $) 64)) (-1385 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4464)))) (-3939 (((-112) $ $) 19 (|has| |#1| (-102)))) (-1970 (((-783) $) 6 (|has| $ (-6 -4464))))) (((-261 |#1|) (-141) (-1238)) (T -261)) -((-3852 (*1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-3852 (*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1238)) (-4 *1 (-261 *3)))) (-2327 (*1 *2 *1) (-12 (-4 *1 (-261 *3)) (-4 *3 (-1238)) (-5 *2 (-783)))) (-3118 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-2364 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-3734 (*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-3155 (*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-4268 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-2261 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238)))) (-3092 (*1 *1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1238))))) -(-13 (-1142 |t#1|) (-1016 |t#1|) (-10 -8 (-15 -3852 ($)) (-15 -3852 ($ (-656 |t#1|))) (-15 -2327 ((-783) $)) (-15 -3118 (|t#1| $)) (-15 -2364 (|t#1| $)) (-15 -3734 (|t#1| |t#1| $)) (-15 -3155 (|t#1| |t#1| $)) (-15 -4268 (|t#1| $)) (-15 -2261 (|t#1| $)) (-15 -3092 ($ $)))) -(((-34) . T) ((-107 |#1|) . T) ((-102) -2759 (|has| |#1| (-1121)) (|has| |#1| (-102))) ((-625 (-876)) -2759 (|has| |#1| (-1121)) (|has| |#1| (-625 (-876)))) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-501 |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1121))) ((-1016 |#1|) . T) ((-1121) |has| |#1| (-1121)) ((-1142 |#1|) . T) ((-1238) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) . T) ((-38 |#1|) . T) ((-38 $) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) . T) ((-628 (-576)) . T) ((-628 #1=(-1197)) |has| |#1| (-1059 (-1197))) ((-628 |#1|) . T) ((-628 $) . T) ((-625 (-876)) . T) ((-174) . T) ((-626 (-227)) |has| |#1| (-1043)) ((-626 (-390)) |has| |#1| (-1043)) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-907 (-390))) |has| |#1| (-626 (-907 (-390)))) ((-626 (-907 (-576))) |has| |#1| (-626 (-907 (-576)))) ((-234 $) -3795 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-232 |#1|) . T) ((-238) |has| |#1| (-238)) ((-237) -3795 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-272 |#1|) . T) ((-248) . T) ((-296 |#1| $) |has| |#1| (-296 |#1| |#1|)) ((-300) . T) ((-317) . T) ((-319 |#1|) |has| |#1| (-319 |#1|)) ((-374) . T) ((-349 |#1|) . T) ((-388 |#1|) . T) ((-412 |#1|) . T) ((-464) . 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T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -2759 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -2759 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -2759 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -2759 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . 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T) ((-939) |has| |#1| (-374)) ((-1013 |#2|) |has| |#1| (-374)) ((-1023) |has| |#1| (-38 (-419 (-576)))) ((-1043) -12 (|has| |#1| (-374)) (|has| |#2| (-1043))) ((-1059 (-419 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-576)))) ((-1059 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-576)))) ((-1059 #2#) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-1197)))) ((-1059 |#2|) . T) ((-1072 #1#) -2759 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1072 |#1|) . T) ((-1072 |#2|) |has| |#1| (-374)) ((-1072 $) -2759 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1077 #1#) -2759 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1077 |#1|) . T) ((-1077 |#2|) |has| |#1| (-374)) ((-1077 $) -2759 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) -12 (|has| |#1| (-374)) (|has| |#2| (-1173))) ((-1223) |has| |#1| (-38 (-419 (-576)))) ((-1226) |has| |#1| (-38 (-419 (-576)))) ((-1238) . T) ((-1242) |has| |#1| (-374)) ((-1248 |#1|) . T) ((-1266 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-576)) . T) ((-25) . T) ((-38 #1=(-419 (-576))) -3795 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 |#2|) |has| |#1| (-374)) ((-38 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-35) |has| |#1| (-38 (-419 (-576)))) ((-95) |has| |#1| (-38 (-419 (-576)))) ((-102) . T) ((-111 #1# #1#) -3795 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-374)) ((-111 $ $) -3795 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) -3795 (-12 (|has| |#1| (-374)) (|has| |#2| (-146))) (|has| |#1| (-146))) ((-148) -3795 (-12 (|has| |#1| (-374)) (|has| |#2| (-148))) (|has| |#1| (-148))) ((-628 #1#) -3795 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1197)) -12 (|has| |#1| (-374)) (|has| |#2| (-1059 (-1197)))) ((-628 |#1|) |has| |#1| (-174)) ((-628 |#2|) . 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T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -3795 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -3795 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -3795 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . 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T) ((-23) . T) ((-47 |#1| #0=(-783)) . T) ((-25) . T) ((-38 #1=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -2759 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1103)) . T) ((-628 |#1|) . T) ((-628 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1103) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-907 (-390))) -12 (|has| (-1103) (-626 (-907 (-390)))) (|has| |#1| (-626 (-907 (-390))))) ((-626 (-907 (-576))) -12 (|has| (-1103) (-626 (-907 (-576)))) (|has| |#1| (-626 (-907 (-576))))) ((-234 $) . T) ((-232 |#1|) . T) ((-238) . T) ((-237) . T) ((-272 |#1|) . T) ((-296 (-419 $) (-419 $)) |has| |#1| (-568)) ((-296 |#1| |#1|) . T) ((-296 $ $) . T) ((-300) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 $) . T) ((-336 |#1| #0#) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -2759 (|has| |#1| (-928)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-658 #1#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #1#) |has| |#1| (-38 (-419 (-576)))) ((-660 #3=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #1#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-651 #3#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #1#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-911 $ #2#) . T) ((-911 $ #4=(-1197)) -2759 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-917 #2#) . T) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-919 #2#) . T) ((-919 #4#) -2759 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-901 (-390)) -12 (|has| (-1103) (-901 (-390))) (|has| |#1| (-901 (-390)))) ((-901 (-576)) -12 (|has| (-1103) (-901 (-576))) (|has| |#1| (-901 (-576)))) ((-968 |#1| #0# #2#) . T) ((-928) |has| |#1| (-928)) ((-939) |has| |#1| (-374)) ((-1059 (-419 (-576))) |has| |#1| (-1059 (-419 (-576)))) ((-1059 (-576)) |has| |#1| (-1059 (-576))) ((-1059 #2#) . T) ((-1059 |#1|) . T) ((-1072 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1072 |#1|) . T) ((-1072 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1077 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1077 |#1|) . T) ((-1077 $) -2759 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1070) . T) ((-1079) . T) ((-1133) . T) ((-1121) . T) ((-1173) |has| |#1| (-1173)) ((-1238) . T) ((-1242) |has| |#1| (-928))) -((-1969 (((-656 (-1103)) $) 34)) (-2114 (($ $) 31)) (-1944 (($ |#2| |#3|) NIL) (($ $ (-1103) |#3|) 28) (($ $ (-656 (-1103)) (-656 |#3|)) 27)) (-2081 (($ $) 14)) (-2091 ((|#2| $) 12)) (-2683 ((|#3| $) 10))) -(((-1265 |#1| |#2| |#3|) (-10 -8 (-15 -1969 ((-656 (-1103)) |#1|)) (-15 -1944 (|#1| |#1| (-656 (-1103)) (-656 |#3|))) (-15 -1944 (|#1| |#1| (-1103) |#3|)) (-15 -2114 (|#1| |#1|)) (-15 -1944 (|#1| |#2| |#3|)) (-15 -2683 (|#3| |#1|)) (-15 -2081 (|#1| |#1|)) (-15 -2091 (|#2| |#1|))) (-1266 |#2| |#3|) (-1070) (-804)) (T -1265)) -NIL -(-10 -8 (-15 -1969 ((-656 (-1103)) |#1|)) (-15 -1944 (|#1| |#1| (-656 (-1103)) (-656 |#3|))) (-15 -1944 (|#1| |#1| (-1103) |#3|)) (-15 -2114 (|#1| |#1|)) (-15 -1944 (|#1| |#2| |#3|)) (-15 -2683 (|#3| |#1|)) (-15 -2081 (|#1| |#1|)) (-15 -2091 (|#2| |#1|))) -((-3488 (((-112) $ $) 7)) (-3135 (((-112) $) 17)) (-1969 (((-656 (-1103)) $) 86)) (-3054 (((-1197) $) 118)) (-2798 (((-2 (|:| -4346 $) (|:| -4451 $) (|:| |associate| $)) 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T) ((-23) . T) ((-47 |#1| #0=(-783)) . T) ((-25) . T) ((-38 #1=(-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -3795 (|has| |#1| (-1059 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1103)) . T) ((-628 |#1|) . T) ((-628 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-876)) . T) ((-174) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1103) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-907 (-390))) -12 (|has| (-1103) (-626 (-907 (-390)))) (|has| |#1| (-626 (-907 (-390))))) ((-626 (-907 (-576))) -12 (|has| (-1103) (-626 (-907 (-576)))) (|has| |#1| (-626 (-907 (-576))))) ((-234 $) . T) ((-232 |#1|) . T) ((-238) . T) ((-237) . T) ((-272 |#1|) . T) ((-296 (-419 $) (-419 $)) |has| |#1| (-568)) ((-296 |#1| |#1|) . T) ((-296 $ $) . T) ((-300) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 $) . T) ((-336 |#1| #0#) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -3795 (|has| |#1| (-928)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-658 #1#) |has| |#1| (-38 (-419 (-576)))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #1#) |has| |#1| (-38 (-419 (-576)))) ((-660 #3=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #1#) |has| |#1| (-38 (-419 (-576)))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-651 #3#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #1#) |has| |#1| (-38 (-419 (-576)))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -3795 (|has| |#1| (-928)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-911 $ #2#) . T) ((-911 $ #4=(-1197)) -3795 (|has| |#1| (-919 (-1197))) (|has| |#1| (-917 (-1197)))) ((-917 #2#) . T) ((-917 (-1197)) |has| |#1| (-917 (-1197))) ((-919 #2#) . 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3250045 3251813 3253785 "ZDSOLVE" 3258875 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1314 3249291 3249432 3249621 "YSTREAM" 3249891 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1313 3248719 3248965 3249078 "YDIAGRAM" 3249200 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1312 3246493 3248020 3248224 "XRPOLY" 3248562 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3243046 3244364 3244939 "XPR" 3245965 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1310 3240767 3242377 3242581 "XPOLY" 3242877 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1309 3238406 3239774 3239829 "XPOLYC" 3240117 NIL XPOLYC (NIL T T) -9 NIL 3240230 NIL) (-1308 3234782 3236923 3237311 "XPBWPOLY" 3238064 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1307 3230463 3232758 3232800 "XF" 3233421 NIL XF (NIL T) -9 NIL 3233821 NIL) (-1306 3230084 3230172 3230341 "XF-" 3230346 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1305 3225266 3226555 3226610 "XFALG" 3228782 NIL XFALG (NIL T T) -9 NIL 3229571 NIL) (-1304 3224399 3224503 3224708 "XEXPPKG" 3225158 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1303 3222508 3224249 3224345 "XDPOLY" 3224350 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1302 3221301 3221901 3221944 "XALG" 3221949 NIL XALG (NIL T) -9 NIL 3222060 NIL) (-1301 3214743 3219278 3219772 "WUTSET" 3220893 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1300 3212999 3213795 3214118 "WP" 3214554 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1299 3212601 3212821 3212891 "WHILEAST" 3212951 T WHILEAST (NIL) -8 NIL NIL NIL) (-1298 3212073 3212318 3212412 "WHEREAST" 3212529 T WHEREAST (NIL) -8 NIL NIL NIL) (-1297 3210959 3211157 3211452 "WFFINTBS" 3211870 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1296 3208863 3209290 3209752 "WEIER" 3210531 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1295 3207895 3208345 3208387 "VSPACE" 3208523 NIL VSPACE (NIL T) -9 NIL 3208597 NIL) (-1294 3207733 3207760 3207851 "VSPACE-" 3207856 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1293 3207542 3207584 3207652 "VOID" 3207687 T VOID (NIL) -8 NIL NIL NIL) (-1292 3205678 3206037 3206443 "VIEW" 3207158 T VIEW (NIL) -7 NIL NIL NIL) (-1291 3202102 3202741 3203478 "VIEWDEF" 3204963 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1290 3191406 3193650 3195823 "VIEW3D" 3199951 T VIEW3D (NIL) -8 NIL NIL NIL) (-1289 3183657 3185317 3186896 "VIEW2D" 3189849 T VIEW2D (NIL) -8 NIL NIL NIL) (-1288 3179013 3183427 3183519 "VECTOR" 3183600 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1287 3177590 3177849 3178167 "VECTOR2" 3178743 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1286 3170988 3175294 3175337 "VECTCAT" 3176332 NIL VECTCAT (NIL T) -9 NIL 3176919 NIL) (-1285 3170002 3170256 3170646 "VECTCAT-" 3170651 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1284 3169456 3169653 3169773 "VARIABLE" 3169917 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1283 3169389 3169394 3169424 "UTYPE" 3169429 T UTYPE (NIL) -9 NIL NIL NIL) (-1282 3168219 3168373 3168635 "UTSODETL" 3169215 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1281 3165659 3166119 3166643 "UTSODE" 3167760 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1280 3157607 3163420 3163900 "UTS" 3165237 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1279 3148171 3153541 3153584 "UTSCAT" 3154696 NIL UTSCAT (NIL T) -9 NIL 3155454 NIL) (-1278 3145519 3146241 3147230 "UTSCAT-" 3147235 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1277 3145146 3145189 3145322 "UTS2" 3145470 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1276 3139347 3141956 3141999 "URAGG" 3144069 NIL URAGG (NIL T) -9 NIL 3144792 NIL) (-1275 3136286 3137149 3138272 "URAGG-" 3138277 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1274 3131995 3134921 3135386 "UPXSSING" 3135950 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1273 3124171 3131377 3131641 "UPXS" 3131789 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1272 3117244 3124075 3124147 "UPXSCONS" 3124152 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1271 3106651 3113447 3113509 "UPXSCCA" 3114083 NIL UPXSCCA (NIL T T) -9 NIL 3114316 NIL) (-1270 3106289 3106374 3106548 "UPXSCCA-" 3106553 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1269 3095548 3102117 3102160 "UPXSCAT" 3102808 NIL UPXSCAT (NIL T) -9 NIL 3103417 NIL) (-1268 3094978 3095057 3095236 "UPXS2" 3095463 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1267 3093632 3093885 3094236 "UPSQFREE" 3094721 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1266 3086840 3089900 3089955 "UPSCAT" 3091035 NIL UPSCAT (NIL T T) -9 NIL 3091800 NIL) (-1265 3086044 3086251 3086578 "UPSCAT-" 3086583 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1264 3071126 3079171 3079214 "UPOLYC" 3081315 NIL UPOLYC (NIL T) -9 NIL 3082536 NIL) (-1263 3062454 3064880 3068027 "UPOLYC-" 3068032 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1262 3062081 3062124 3062257 "UPOLYC2" 3062405 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1261 3053616 3061764 3061893 "UP" 3062000 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1260 3052955 3053062 3053226 "UPMP" 3053505 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1259 3052508 3052589 3052728 "UPDIVP" 3052868 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1258 3051076 3051325 3051641 "UPDECOMP" 3052257 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1257 3050307 3050419 3050605 "UPCDEN" 3050960 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1256 3049826 3049895 3050044 "UP2" 3050232 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1255 3048293 3049030 3049307 "UNISEG" 3049584 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1254 3047508 3047635 3047840 "UNISEG2" 3048136 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1253 3046568 3046748 3046974 "UNIFACT" 3047324 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1252 3029320 3045880 3046122 "ULS" 3046384 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1251 3016950 3029224 3029296 "ULSCONS" 3029301 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1250 2997671 3010031 3010093 "ULSCCAT" 3010731 NIL ULSCCAT (NIL T T) -9 NIL 3011020 NIL) (-1249 2996721 2996966 2997354 "ULSCCAT-" 2997359 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1248 2985785 2992268 2992311 "ULSCAT" 2993174 NIL ULSCAT (NIL T) -9 NIL 2993905 NIL) (-1247 2985215 2985294 2985473 "ULS2" 2985700 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1246 2984334 2984844 2984951 "UINT8" 2985062 T UINT8 (NIL) -8 NIL NIL 2985147) (-1245 2983452 2983962 2984069 "UINT64" 2984180 T UINT64 (NIL) -8 NIL NIL 2984265) (-1244 2982570 2983080 2983187 "UINT32" 2983298 T UINT32 (NIL) -8 NIL NIL 2983383) (-1243 2981688 2982198 2982305 "UINT16" 2982416 T UINT16 (NIL) -8 NIL NIL 2982501) (-1242 2979977 2980934 2980964 "UFD" 2981176 T UFD (NIL) -9 NIL 2981290 NIL) (-1241 2979771 2979817 2979912 "UFD-" 2979917 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1240 2978853 2979036 2979252 "UDVO" 2979577 T UDVO (NIL) -7 NIL NIL NIL) (-1239 2976669 2977078 2977549 "UDPO" 2978417 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1238 2976602 2976607 2976637 "TYPE" 2976642 T TYPE (NIL) -9 NIL NIL NIL) (-1237 2976362 2976557 2976588 "TYPEAST" 2976593 T TYPEAST (NIL) -8 NIL NIL NIL) (-1236 2975333 2975535 2975775 "TWOFACT" 2976156 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1235 2974356 2974742 2974977 "TUPLE" 2975133 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1234 2972047 2972566 2973105 "TUBETOOL" 2973839 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1233 2970896 2971101 2971342 "TUBE" 2971840 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1232 2965625 2969868 2970151 "TS" 2970648 NIL TS (NIL T) -8 NIL NIL NIL) (-1231 2954265 2958384 2958481 "TSETCAT" 2963750 NIL TSETCAT (NIL T T T T) -9 NIL 2965281 NIL) (-1230 2948997 2950597 2952488 "TSETCAT-" 2952493 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1229 2943636 2944483 2945412 "TRMANIP" 2948133 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1228 2943077 2943140 2943303 "TRIMAT" 2943568 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1227 2940943 2941180 2941537 "TRIGMNIP" 2942826 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1226 2940463 2940576 2940606 "TRIGCAT" 2940819 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1225 2940132 2940211 2940352 "TRIGCAT-" 2940357 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1224 2936980 2938990 2939271 "TREE" 2939886 NIL TREE (NIL T) -8 NIL NIL NIL) (-1223 2936254 2936782 2936812 "TRANFUN" 2936847 T TRANFUN (NIL) -9 NIL 2936913 NIL) (-1222 2935533 2935724 2936004 "TRANFUN-" 2936009 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1221 2935337 2935369 2935430 "TOPSP" 2935494 T TOPSP (NIL) -7 NIL NIL NIL) (-1220 2934685 2934800 2934954 "TOOLSIGN" 2935218 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1219 2933319 2933862 2934101 "TEXTFILE" 2934468 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1218 2931231 2931772 2932201 "TEX" 2932912 T TEX (NIL) -8 NIL NIL NIL) (-1217 2931012 2931043 2931115 "TEX1" 2931194 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1216 2930660 2930723 2930813 "TEMUTL" 2930944 T TEMUTL (NIL) -7 NIL NIL NIL) (-1215 2928814 2929094 2929419 "TBCMPPK" 2930383 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1214 2920523 2926900 2926956 "TBAGG" 2927356 NIL TBAGG (NIL T T) -9 NIL 2927567 NIL) (-1213 2915593 2917081 2918835 "TBAGG-" 2918840 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1212 2914977 2915084 2915229 "TANEXP" 2915482 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1211 2914488 2914752 2914842 "TALGOP" 2914922 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1210 2907884 2914345 2914438 "TABLE" 2914443 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1209 2907296 2907395 2907533 "TABLEAU" 2907781 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1208 2901904 2903124 2904372 "TABLBUMP" 2906082 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1207 2901126 2901273 2901454 "SYSTEM" 2901745 T SYSTEM (NIL) -8 NIL NIL NIL) (-1206 2897585 2898284 2899067 "SYSSOLP" 2900377 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1205 2897383 2897540 2897571 "SYSPTR" 2897576 T SYSPTR (NIL) -8 NIL NIL NIL) (-1204 2896419 2896924 2897043 "SYSNNI" 2897229 NIL SYSNNI (NIL NIL) -8 NIL NIL 2897314) (-1203 2895718 2896177 2896256 "SYSINT" 2896316 NIL SYSINT (NIL NIL) -8 NIL NIL 2896361) (-1202 2892050 2892996 2893706 "SYNTAX" 2895030 T SYNTAX (NIL) -8 NIL NIL NIL) (-1201 2889208 2889810 2890442 "SYMTAB" 2891440 T SYMTAB (NIL) -8 NIL NIL NIL) (-1200 2884457 2885359 2886342 "SYMS" 2888247 T SYMS (NIL) -8 NIL NIL NIL) (-1199 2881692 2883915 2884145 "SYMPOLY" 2884262 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1198 2881209 2881284 2881407 "SYMFUNC" 2881604 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1197 2877229 2878521 2879334 "SYMBOL" 2880418 T SYMBOL (NIL) -8 NIL NIL NIL) (-1196 2870768 2872457 2874177 "SWITCH" 2875531 T SWITCH (NIL) -8 NIL NIL NIL) (-1195 2864112 2869724 2870018 "SUTS" 2870532 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1194 2856288 2863494 2863758 "SUPXS" 2863906 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1193 2847771 2855906 2856032 "SUP" 2856197 NIL SUP (NIL T) -8 NIL NIL NIL) (-1192 2846930 2847057 2847274 "SUPFRACF" 2847639 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1191 2846551 2846610 2846723 "SUP2" 2846865 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1190 2844999 2845273 2845629 "SUMRF" 2846250 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1189 2844334 2844400 2844592 "SUMFS" 2844920 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1188 2827121 2843646 2843888 "SULS" 2844150 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1187 2826723 2826943 2827013 "SUCHTAST" 2827073 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1186 2826018 2826248 2826388 "SUCH" 2826631 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1185 2819885 2820924 2821883 "SUBSPACE" 2825106 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1184 2819315 2819405 2819569 "SUBRESP" 2819773 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1183 2812683 2813980 2815291 "STTF" 2818051 NIL STTF (NIL T) -7 NIL NIL NIL) (-1182 2806856 2807976 2809123 "STTFNC" 2811583 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1181 2798169 2800038 2801832 "STTAYLOR" 2805097 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1180 2791305 2798033 2798116 "STRTBL" 2798121 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1179 2786266 2791014 2791113 "STRING" 2791228 T STRING (NIL) -8 NIL NIL NIL) (-1178 2779022 2783885 2784496 "STREAM" 2785690 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1177 2778532 2778609 2778753 "STREAM3" 2778939 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1176 2777514 2777697 2777932 "STREAM2" 2778345 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1175 2777202 2777254 2777347 "STREAM1" 2777456 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1174 2776218 2776399 2776630 "STINPROD" 2777018 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1173 2775756 2775966 2775996 "STEP" 2776076 T STEP (NIL) -9 NIL 2776154 NIL) (-1172 2774943 2775245 2775393 "STEPAST" 2775630 T STEPAST (NIL) -8 NIL NIL NIL) (-1171 2768381 2774842 2774919 "STBL" 2774924 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1170 2763451 2767544 2767587 "STAGG" 2767740 NIL STAGG (NIL T) -9 NIL 2767829 NIL) (-1169 2761153 2761755 2762627 "STAGG-" 2762632 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1168 2759303 2760923 2761015 "STACK" 2761096 NIL STACK (NIL T) -8 NIL NIL NIL) (-1167 2751998 2757444 2757900 "SREGSET" 2758933 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1166 2744423 2745792 2747305 "SRDCMPK" 2750604 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1165 2737260 2741782 2741812 "SRAGG" 2743115 T SRAGG (NIL) -9 NIL 2743723 NIL) (-1164 2736277 2736532 2736911 "SRAGG-" 2736916 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1163 2730461 2735224 2735645 "SQMATRIX" 2735903 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1162 2724149 2727179 2727906 "SPLTREE" 2729806 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1161 2720112 2720805 2721451 "SPLNODE" 2723575 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1160 2719159 2719392 2719422 "SPFCAT" 2719866 T SPFCAT (NIL) -9 NIL NIL NIL) (-1159 2717896 2718106 2718370 "SPECOUT" 2718917 T SPECOUT (NIL) -7 NIL NIL NIL) (-1158 2708992 2710864 2710894 "SPADXPT" 2715570 T SPADXPT (NIL) -9 NIL 2717734 NIL) (-1157 2708753 2708793 2708862 "SPADPRSR" 2708945 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1156 2706802 2708708 2708739 "SPADAST" 2708744 T SPADAST (NIL) -8 NIL NIL NIL) (-1155 2698733 2700506 2700549 "SPACEC" 2704922 NIL SPACEC (NIL T) -9 NIL 2706738 NIL) (-1154 2696863 2698665 2698714 "SPACE3" 2698719 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1153 2695615 2695786 2696077 "SORTPAK" 2696668 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1152 2693707 2694010 2694422 "SOLVETRA" 2695279 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1151 2692757 2692979 2693240 "SOLVESER" 2693480 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1150 2688061 2688949 2689944 "SOLVERAD" 2691809 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1149 2683876 2684485 2685214 "SOLVEFOR" 2687428 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1148 2678146 2683225 2683322 "SNTSCAT" 2683327 NIL SNTSCAT (NIL T T T T) -9 NIL 2683397 NIL) (-1147 2672252 2676469 2676860 "SMTS" 2677836 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1146 2666661 2672140 2672217 "SMP" 2672222 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1145 2664820 2665121 2665519 "SMITH" 2666358 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1144 2656924 2661399 2661502 "SMATCAT" 2662853 NIL SMATCAT (NIL NIL T T T) -9 NIL 2663403 NIL) (-1143 2653864 2654687 2655865 "SMATCAT-" 2655870 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1142 2651505 2653072 2653115 "SKAGG" 2653376 NIL SKAGG (NIL T) -9 NIL 2653511 NIL) (-1141 2647695 2650978 2651162 "SINT" 2651314 T SINT (NIL) -8 NIL NIL 2651476) (-1140 2647467 2647505 2647571 "SIMPAN" 2647651 T SIMPAN (NIL) -7 NIL NIL NIL) (-1139 2646746 2647002 2647142 "SIG" 2647349 T SIG (NIL) -8 NIL NIL NIL) (-1138 2645584 2645805 2646080 "SIGNRF" 2646505 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1137 2644417 2644568 2644852 "SIGNEF" 2645413 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1136 2643723 2644000 2644124 "SIGAST" 2644315 T SIGAST (NIL) -8 NIL NIL NIL) (-1135 2641413 2641867 2642373 "SHP" 2643264 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1134 2635242 2641314 2641390 "SHDP" 2641395 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1133 2634801 2634993 2635023 "SGROUP" 2635116 T SGROUP (NIL) -9 NIL 2635178 NIL) (-1132 2634659 2634685 2634758 "SGROUP-" 2634763 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1131 2631450 2632148 2632871 "SGCF" 2633958 T SGCF (NIL) -7 NIL NIL NIL) (-1130 2625818 2630897 2630994 "SFRTCAT" 2630999 NIL SFRTCAT (NIL T T T T) -9 NIL 2631038 NIL) (-1129 2619239 2620257 2621393 "SFRGCD" 2624801 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1128 2612365 2613438 2614624 "SFQCMPK" 2618172 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1127 2611985 2612074 2612185 "SFORT" 2612306 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1126 2611103 2611825 2611946 "SEXOF" 2611951 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1125 2610210 2610984 2611052 "SEX" 2611057 T SEX (NIL) -8 NIL NIL NIL) (-1124 2605991 2606706 2606801 "SEXCAT" 2609423 NIL SEXCAT (NIL T T T T T) -9 NIL 2609983 NIL) (-1123 2603144 2605925 2605973 "SET" 2605978 NIL SET (NIL T) -8 NIL NIL NIL) (-1122 2601368 2601857 2602162 "SETMN" 2602885 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1121 2600934 2601086 2601116 "SETCAT" 2601233 T SETCAT (NIL) -9 NIL 2601318 NIL) (-1120 2600714 2600766 2600865 "SETCAT-" 2600870 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1119 2597075 2599175 2599218 "SETAGG" 2600088 NIL SETAGG (NIL T) -9 NIL 2600428 NIL) (-1118 2596533 2596649 2596886 "SETAGG-" 2596891 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1117 2595976 2596229 2596330 "SEQAST" 2596454 T SEQAST (NIL) -8 NIL NIL NIL) (-1116 2595175 2595469 2595530 "SEGXCAT" 2595816 NIL SEGXCAT (NIL T T) -9 NIL 2595936 NIL) (-1115 2594181 2594841 2595023 "SEG" 2595028 NIL SEG (NIL T) -8 NIL NIL NIL) (-1114 2593160 2593374 2593417 "SEGCAT" 2593939 NIL SEGCAT (NIL T) -9 NIL 2594160 NIL) (-1113 2592092 2592523 2592731 "SEGBIND" 2592987 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1112 2591713 2591772 2591885 "SEGBIND2" 2592027 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1111 2591286 2591514 2591591 "SEGAST" 2591658 T SEGAST (NIL) -8 NIL NIL NIL) (-1110 2590505 2590631 2590835 "SEG2" 2591130 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1109 2589876 2590440 2590487 "SDVAR" 2590492 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1108 2582127 2589646 2589776 "SDPOL" 2589781 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1107 2580720 2580986 2581305 "SCPKG" 2581842 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1106 2579884 2580056 2580248 "SCOPE" 2580550 T SCOPE (NIL) -8 NIL NIL NIL) (-1105 2579104 2579238 2579417 "SCACHE" 2579739 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1104 2578736 2578922 2578952 "SASTCAT" 2578957 T SASTCAT (NIL) -9 NIL 2578970 NIL) (-1103 2578223 2578571 2578647 "SAOS" 2578682 T SAOS (NIL) -8 NIL NIL NIL) (-1102 2577788 2577823 2577996 "SAERFFC" 2578182 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1101 2571451 2577685 2577765 "SAE" 2577770 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1100 2571044 2571079 2571238 "SAEFACT" 2571410 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1099 2569365 2569679 2570080 "RURPK" 2570710 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1098 2568002 2568308 2568613 "RULESET" 2569199 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1097 2565225 2565755 2566213 "RULE" 2567683 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1096 2564837 2565019 2565102 "RULECOLD" 2565177 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1095 2564627 2564655 2564726 "RTVALUE" 2564788 T RTVALUE (NIL) -8 NIL NIL NIL) (-1094 2564098 2564344 2564438 "RSTRCAST" 2564555 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1093 2558946 2559741 2560661 "RSETGCD" 2563297 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1092 2548176 2553255 2553352 "RSETCAT" 2557471 NIL RSETCAT (NIL T T T T) -9 NIL 2558568 NIL) (-1091 2546103 2546642 2547466 "RSETCAT-" 2547471 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1090 2538489 2539865 2541385 "RSDCMPK" 2544702 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1089 2536454 2536921 2536995 "RRCC" 2538081 NIL RRCC (NIL T T) -9 NIL 2538425 NIL) (-1088 2535805 2535979 2536258 "RRCC-" 2536263 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1087 2535248 2535501 2535602 "RPTAST" 2535726 T RPTAST (NIL) -8 NIL NIL NIL) (-1086 2508724 2518360 2518427 "RPOLCAT" 2529093 NIL RPOLCAT (NIL T T T) -9 NIL 2532253 NIL) (-1085 2500222 2502562 2505684 "RPOLCAT-" 2505689 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1084 2491159 2498433 2498915 "ROUTINE" 2499762 T ROUTINE (NIL) -8 NIL NIL NIL) (-1083 2487820 2490785 2490925 "ROMAN" 2491041 T ROMAN (NIL) -8 NIL NIL NIL) (-1082 2486064 2486680 2486940 "ROIRC" 2487625 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1081 2482268 2484553 2484583 "RNS" 2484887 T RNS (NIL) -9 NIL 2485161 NIL) (-1080 2480777 2481160 2481694 "RNS-" 2481769 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1079 2480166 2480574 2480604 "RNG" 2480609 T RNG (NIL) -9 NIL 2480630 NIL) (-1078 2479169 2479531 2479733 "RNGBIND" 2480017 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1077 2478554 2478942 2478985 "RMODULE" 2478990 NIL RMODULE (NIL T) -9 NIL 2479017 NIL) (-1076 2477390 2477484 2477820 "RMCAT2" 2478455 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1075 2474240 2476736 2477033 "RMATRIX" 2477152 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1074 2467067 2469327 2469442 "RMATCAT" 2472801 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2473783 NIL) (-1073 2466442 2466589 2466896 "RMATCAT-" 2466901 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1072 2466057 2466229 2466272 "RLINSET" 2466334 NIL RLINSET (NIL T) -9 NIL 2466378 NIL) (-1071 2465624 2465699 2465827 "RINTERP" 2465976 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1070 2464668 2465222 2465252 "RING" 2465308 T RING (NIL) -9 NIL 2465400 NIL) (-1069 2464460 2464504 2464601 "RING-" 2464606 NIL RING- (NIL T) -8 NIL NIL NIL) (-1068 2463301 2463538 2463796 "RIDIST" 2464224 T RIDIST (NIL) -7 NIL NIL NIL) (-1067 2454590 2462769 2462975 "RGCHAIN" 2463149 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1066 2453926 2454332 2454373 "RGBCSPC" 2454431 NIL RGBCSPC (NIL T) -9 NIL 2454483 NIL) (-1065 2453070 2453451 2453492 "RGBCMDL" 2453724 NIL RGBCMDL (NIL T) -9 NIL 2453838 NIL) (-1064 2450064 2450678 2451348 "RF" 2452434 NIL RF (NIL T) -7 NIL NIL NIL) (-1063 2449710 2449773 2449876 "RFFACTOR" 2449995 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1062 2449435 2449470 2449567 "RFFACT" 2449669 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1061 2447552 2447916 2448298 "RFDIST" 2449075 T RFDIST (NIL) -7 NIL NIL NIL) (-1060 2447005 2447097 2447260 "RETSOL" 2447454 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1059 2446641 2446721 2446764 "RETRACT" 2446897 NIL RETRACT (NIL T) -9 NIL 2446984 NIL) (-1058 2446490 2446515 2446602 "RETRACT-" 2446607 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1057 2446092 2446312 2446382 "RETAST" 2446442 T RETAST (NIL) -8 NIL NIL NIL) (-1056 2438836 2445745 2445872 "RESULT" 2445987 T RESULT (NIL) -8 NIL NIL NIL) (-1055 2437427 2438105 2438304 "RESRING" 2438739 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1054 2437063 2437112 2437210 "RESLATC" 2437364 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1053 2436768 2436803 2436910 "REPSQ" 2437022 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1052 2434190 2434770 2435372 "REP" 2436188 T REP (NIL) -7 NIL NIL NIL) (-1051 2433887 2433922 2434033 "REPDB" 2434149 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1050 2427787 2429176 2430399 "REP2" 2432699 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1049 2424164 2424845 2425653 "REP1" 2427014 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1048 2416860 2422305 2422761 "REGSET" 2423794 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1047 2415625 2416008 2416258 "REF" 2416645 NIL REF (NIL T) -8 NIL NIL NIL) (-1046 2415002 2415105 2415272 "REDORDER" 2415509 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1045 2410970 2414215 2414442 "RECLOS" 2414830 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1044 2410022 2410203 2410418 "REALSOLV" 2410777 T REALSOLV (NIL) -7 NIL NIL NIL) (-1043 2409868 2409909 2409939 "REAL" 2409944 T REAL (NIL) -9 NIL 2409979 NIL) (-1042 2406351 2407153 2408037 "REAL0Q" 2409033 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1041 2401952 2402940 2404001 "REAL0" 2405332 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1040 2401423 2401669 2401763 "RDUCEAST" 2401880 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1039 2400828 2400900 2401107 "RDIV" 2401345 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1038 2399896 2400070 2400283 "RDIST" 2400650 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1037 2398493 2398780 2399152 "RDETRS" 2399604 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1036 2396305 2396759 2397297 "RDETR" 2398035 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1035 2394930 2395208 2395605 "RDEEFS" 2396021 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1034 2393439 2393745 2394170 "RDEEF" 2394618 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1033 2387472 2390393 2390423 "RCFIELD" 2391718 T RCFIELD (NIL) -9 NIL 2392449 NIL) (-1032 2385536 2386040 2386736 "RCFIELD-" 2386811 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1031 2381780 2383609 2383652 "RCAGG" 2384736 NIL RCAGG (NIL T) -9 NIL 2385201 NIL) (-1030 2381408 2381502 2381665 "RCAGG-" 2381670 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1029 2380743 2380855 2381020 "RATRET" 2381292 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1028 2380296 2380363 2380484 "RATFACT" 2380671 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1027 2379604 2379724 2379876 "RANDSRC" 2380166 T RANDSRC (NIL) -7 NIL NIL NIL) (-1026 2379338 2379382 2379455 "RADUTIL" 2379553 T RADUTIL (NIL) -7 NIL NIL NIL) (-1025 2372166 2378169 2378480 "RADIX" 2379061 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1024 2362626 2372008 2372138 "RADFF" 2372143 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1023 2362273 2362348 2362378 "RADCAT" 2362538 T RADCAT (NIL) -9 NIL NIL NIL) (-1022 2362055 2362103 2362203 "RADCAT-" 2362208 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1021 2360156 2361825 2361917 "QUEUE" 2361998 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1020 2356417 2360089 2360137 "QUAT" 2360142 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1019 2356048 2356091 2356222 "QUATCT2" 2356368 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1018 2348846 2352471 2352513 "QUATCAT" 2353304 NIL QUATCAT (NIL T) -9 NIL 2354070 NIL) (-1017 2344985 2346022 2347412 "QUATCAT-" 2347508 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1016 2342425 2344033 2344076 "QUAGG" 2344457 NIL QUAGG (NIL T) -9 NIL 2344632 NIL) (-1015 2342027 2342247 2342317 "QQUTAST" 2342377 T QQUTAST (NIL) -8 NIL NIL NIL) (-1014 2341040 2341540 2341705 "QFORM" 2341908 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1013 2331372 2336887 2336929 "QFCAT" 2337597 NIL QFCAT (NIL T) -9 NIL 2338598 NIL) (-1012 2326939 2328140 2329734 "QFCAT-" 2329830 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1011 2326570 2326613 2326744 "QFCAT2" 2326890 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1010 2326025 2326135 2326267 "QEQUAT" 2326460 T QEQUAT (NIL) -8 NIL NIL NIL) (-1009 2319151 2320224 2321410 "QCMPACK" 2324958 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1008 2316689 2317137 2317567 "QALGSET" 2318806 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1007 2315924 2316100 2316336 "QALGSET2" 2316507 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1006 2314609 2314833 2315152 "PWFFINTB" 2315697 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1005 2312784 2312952 2313308 "PUSHVAR" 2314423 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1004 2308673 2309727 2309770 "PTRANFN" 2311681 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1003 2307064 2307355 2307679 "PTPACK" 2308384 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1002 2306693 2306750 2306861 "PTFUNC2" 2307001 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1001 2301088 2305482 2305525 "PTCAT" 2305825 NIL PTCAT (NIL T) -9 NIL 2305978 NIL) (-1000 2300743 2300778 2300904 "PSQFR" 2301047 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-999 2299338 2299636 2299970 "PSEUDLIN" 2300441 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-998 2286101 2288472 2290796 "PSETPK" 2297098 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-997 2279119 2281859 2281955 "PSETCAT" 2284976 NIL PSETCAT (NIL T T T T) -9 NIL 2285790 NIL) (-996 2276955 2277589 2278410 "PSETCAT-" 2278415 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-995 2276304 2276469 2276497 "PSCURVE" 2276765 T PSCURVE (NIL) -9 NIL 2276932 NIL) (-994 2272288 2273804 2273869 "PSCAT" 2274713 NIL PSCAT (NIL T T T) -9 NIL 2274953 NIL) (-993 2271351 2271567 2271967 "PSCAT-" 2271972 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-992 2269710 2270420 2270683 "PRTITION" 2271108 T PRTITION (NIL) -8 NIL NIL NIL) (-991 2269185 2269431 2269523 "PRTDAST" 2269638 T PRTDAST (NIL) -8 NIL NIL NIL) (-990 2258275 2260489 2262677 "PRS" 2267047 NIL PRS (NIL T T) -7 NIL NIL NIL) (-989 2256061 2257597 2257637 "PRQAGG" 2257820 NIL PRQAGG (NIL T) -9 NIL 2257922 NIL) (-988 2255397 2255702 2255730 "PROPLOG" 2255869 T PROPLOG (NIL) -9 NIL 2255984 NIL) (-987 2255001 2255058 2255181 "PROPFUN2" 2255320 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-986 2254316 2254437 2254609 "PROPFUN1" 2254862 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-985 2252497 2253063 2253360 "PROPFRML" 2254052 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-984 2251966 2252073 2252201 "PROPERTY" 2252389 T PROPERTY (NIL) -8 NIL NIL NIL) (-983 2246024 2250132 2250952 "PRODUCT" 2251192 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-982 2243302 2245482 2245716 "PR" 2245835 NIL PR (NIL T T) -8 NIL NIL NIL) (-981 2243098 2243130 2243189 "PRINT" 2243263 T PRINT (NIL) -7 NIL NIL NIL) (-980 2242438 2242555 2242707 "PRIMES" 2242978 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-979 2240503 2240904 2241370 "PRIMELT" 2242017 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-978 2240232 2240281 2240309 "PRIMCAT" 2240433 T PRIMCAT (NIL) -9 NIL NIL NIL) (-977 2236350 2240170 2240215 "PRIMARR" 2240220 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-976 2235357 2235535 2235763 "PRIMARR2" 2236168 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-975 2235000 2235056 2235167 "PREASSOC" 2235295 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-974 2234475 2234608 2234636 "PPCURVE" 2234841 T PPCURVE (NIL) -9 NIL 2234977 NIL) (-973 2234070 2234270 2234353 "PORTNUM" 2234412 T PORTNUM (NIL) -8 NIL NIL NIL) (-972 2231429 2231828 2232420 "POLYROOT" 2233651 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-971 2225335 2231033 2231193 "POLY" 2231302 NIL POLY (NIL T) -8 NIL NIL NIL) (-970 2224718 2224776 2225010 "POLYLIFT" 2225271 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-969 2220993 2221442 2222071 "POLYCATQ" 2224263 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-968 2207335 2212740 2212805 "POLYCAT" 2216319 NIL POLYCAT (NIL T T T) -9 NIL 2218197 NIL) (-967 2200784 2202646 2205030 "POLYCAT-" 2205035 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-966 2200371 2200439 2200559 "POLY2UP" 2200710 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-965 2200003 2200060 2200169 "POLY2" 2200308 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-964 2198688 2198927 2199203 "POLUTIL" 2199777 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-963 2197043 2197320 2197651 "POLTOPOL" 2198410 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-962 2192509 2196977 2197024 "POINT" 2197029 NIL POINT (NIL T) -8 NIL NIL NIL) (-961 2190696 2191053 2191428 "PNTHEORY" 2192154 T PNTHEORY (NIL) -7 NIL NIL NIL) (-960 2189154 2189451 2189850 "PMTOOLS" 2190394 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-959 2188747 2188825 2188942 "PMSYM" 2189070 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-958 2188255 2188324 2188499 "PMQFCAT" 2188672 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-957 2187610 2187720 2187876 "PMPRED" 2188132 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-956 2187003 2187089 2187251 "PMPREDFS" 2187511 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-955 2185667 2185875 2186253 "PMPLCAT" 2186765 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-954 2185199 2185278 2185430 "PMLSAGG" 2185582 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-953 2184672 2184748 2184930 "PMKERNEL" 2185117 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-952 2184289 2184364 2184477 "PMINS" 2184591 NIL PMINS (NIL T) -7 NIL NIL NIL) (-951 2183731 2183800 2184009 "PMFS" 2184214 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-950 2182959 2183077 2183282 "PMDOWN" 2183608 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-949 2182126 2182284 2182465 "PMASS" 2182798 T PMASS (NIL) -7 NIL NIL NIL) (-948 2181399 2181509 2181672 "PMASSFS" 2182013 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-947 2181054 2181122 2181216 "PLOTTOOL" 2181325 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-946 2175661 2176865 2178013 "PLOT" 2179926 T PLOT (NIL) -8 NIL NIL NIL) (-945 2171465 2172509 2173430 "PLOT3D" 2174760 T PLOT3D (NIL) -8 NIL NIL NIL) (-944 2170377 2170554 2170789 "PLOT1" 2171269 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-943 2145768 2150443 2155294 "PLEQN" 2165643 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-942 2145086 2145208 2145388 "PINTERP" 2145633 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-941 2144779 2144826 2144929 "PINTERPA" 2145033 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-940 2143995 2144543 2144630 "PI" 2144670 T PI (NIL) -8 NIL NIL 2144737) (-939 2142278 2143253 2143281 "PID" 2143463 T PID (NIL) -9 NIL 2143597 NIL) (-938 2142029 2142066 2142141 "PICOERCE" 2142235 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-937 2141349 2141488 2141664 "PGROEB" 2141885 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-936 2136936 2137750 2138655 "PGE" 2140464 T PGE (NIL) -7 NIL NIL NIL) (-935 2135059 2135306 2135672 "PGCD" 2136653 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-934 2134397 2134500 2134661 "PFRPAC" 2134943 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-933 2131037 2132945 2133298 "PFR" 2134076 NIL PFR (NIL T) -8 NIL NIL NIL) (-932 2129426 2129670 2129995 "PFOTOOLS" 2130784 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-931 2127959 2128198 2128549 "PFOQ" 2129183 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-930 2126460 2126672 2127028 "PFO" 2127743 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-929 2123013 2126349 2126418 "PF" 2126423 NIL PF (NIL NIL) -8 NIL NIL NIL) (-928 2120333 2121604 2121632 "PFECAT" 2122217 T PFECAT (NIL) -9 NIL 2122601 NIL) (-927 2119778 2119932 2120146 "PFECAT-" 2120151 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-926 2118381 2118633 2118934 "PFBRU" 2119527 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-925 2116247 2116599 2117031 "PFBR" 2118032 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-924 2112293 2113759 2114406 "PERM" 2115633 NIL PERM (NIL T) -8 NIL NIL NIL) (-923 2107527 2108500 2109370 "PERMGRP" 2111456 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-922 2105591 2106551 2106592 "PERMCAT" 2106992 NIL PERMCAT (NIL T) -9 NIL 2107290 NIL) (-921 2105244 2105285 2105409 "PERMAN" 2105544 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-920 2102735 2104909 2105031 "PENDTREE" 2105155 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-919 2101664 2101879 2101920 "PDSPC" 2102453 NIL PDSPC (NIL T) -9 NIL 2102698 NIL) (-918 2100767 2100985 2101347 "PDSPC-" 2101352 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-917 2099649 2100417 2100458 "PDRING" 2100463 NIL PDRING (NIL T) -9 NIL 2100491 NIL) (-916 2098536 2099154 2099208 "PDMOD" 2099213 NIL PDMOD (NIL T T) -9 NIL 2099317 NIL) (-915 2095751 2096529 2097197 "PDEPROB" 2097888 T PDEPROB (NIL) -8 NIL NIL NIL) (-914 2093296 2093800 2094355 "PDEPACK" 2095216 T PDEPACK (NIL) -7 NIL NIL NIL) (-913 2092208 2092398 2092649 "PDECOMP" 2093095 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-912 2089773 2090616 2090644 "PDECAT" 2091431 T PDECAT (NIL) -9 NIL 2092144 NIL) (-911 2089402 2089457 2089511 "PDDOM" 2089676 NIL PDDOM (NIL T T) -9 NIL 2089756 NIL) (-910 2089221 2089251 2089358 "PDDOM-" 2089363 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-909 2088972 2089005 2089095 "PCOMP" 2089182 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-908 2087150 2087773 2088070 "PBWLB" 2088701 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-907 2079623 2081223 2082561 "PATTERN" 2085833 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-906 2079255 2079312 2079421 "PATTERN2" 2079560 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-905 2077012 2077400 2077857 "PATTERN1" 2078844 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-904 2074380 2074961 2075442 "PATRES" 2076577 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-903 2073944 2074011 2074143 "PATRES2" 2074307 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-902 2071827 2072232 2072639 "PATMATCH" 2073611 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-901 2071323 2071532 2071573 "PATMAB" 2071680 NIL PATMAB (NIL T) -9 NIL 2071763 NIL) (-900 2069841 2070177 2070435 "PATLRES" 2071128 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-899 2069387 2069510 2069551 "PATAB" 2069556 NIL PATAB (NIL T) -9 NIL 2069728 NIL) (-898 2067569 2067964 2068387 "PARTPERM" 2068984 T PARTPERM (NIL) -7 NIL NIL NIL) (-897 2067190 2067253 2067355 "PARSURF" 2067500 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-896 2066822 2066879 2066988 "PARSU2" 2067127 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-895 2066586 2066626 2066693 "PARSER" 2066775 T PARSER (NIL) -7 NIL NIL NIL) (-894 2066207 2066270 2066372 "PARSCURV" 2066517 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-893 2065839 2065896 2066005 "PARSC2" 2066144 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-892 2065478 2065536 2065633 "PARPCURV" 2065775 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-891 2065110 2065167 2065276 "PARPC2" 2065415 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-890 2064171 2064483 2064665 "PARAMAST" 2064948 T PARAMAST (NIL) -8 NIL NIL NIL) (-889 2063691 2063777 2063896 "PAN2EXPR" 2064072 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-888 2062468 2062812 2063040 "PALETTE" 2063483 T PALETTE (NIL) -8 NIL NIL NIL) (-887 2060861 2061473 2061833 "PAIR" 2062154 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-886 2054453 2060118 2060313 "PADICRC" 2060715 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-885 2047369 2053797 2053982 "PADICRAT" 2054300 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-884 2045684 2047306 2047351 "PADIC" 2047356 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-883 2042780 2044344 2044384 "PADICCT" 2044965 NIL PADICCT (NIL NIL) -9 NIL 2045247 NIL) (-882 2041737 2041937 2042205 "PADEPAC" 2042567 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-881 2040949 2041082 2041288 "PADE" 2041599 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-880 2039336 2040157 2040437 "OWP" 2040753 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-879 2038829 2039042 2039139 "OVERSET" 2039259 T OVERSET (NIL) -8 NIL NIL NIL) (-878 2037875 2038434 2038606 "OVAR" 2038697 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-877 2037139 2037260 2037421 "OUT" 2037734 T OUT (NIL) -7 NIL NIL NIL) (-876 2026011 2028248 2030448 "OUTFORM" 2034959 T OUTFORM (NIL) -8 NIL NIL NIL) (-875 2025347 2025608 2025735 "OUTBFILE" 2025904 T OUTBFILE (NIL) -8 NIL NIL NIL) (-874 2024654 2024819 2024847 "OUTBCON" 2025165 T OUTBCON (NIL) -9 NIL 2025331 NIL) (-873 2024255 2024367 2024524 "OUTBCON-" 2024529 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-872 2023635 2023984 2024073 "OSI" 2024186 T OSI (NIL) -8 NIL NIL NIL) (-871 2023138 2023476 2023504 "OSGROUP" 2023509 T OSGROUP (NIL) -9 NIL 2023531 NIL) (-870 2021883 2022110 2022395 "ORTHPOL" 2022885 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-869 2019434 2021718 2021839 "OREUP" 2021844 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-868 2016837 2019125 2019252 "ORESUP" 2019376 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-867 2014365 2014865 2015426 "OREPCTO" 2016326 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-866 2008037 2010238 2010279 "OREPCAT" 2012627 NIL OREPCAT (NIL T) -9 NIL 2013731 NIL) (-865 2005184 2005966 2007024 "OREPCAT-" 2007029 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-864 2004431 2004654 2004682 "ORDTYPE" 2004991 T ORDTYPE (NIL) -9 NIL 2005154 NIL) (-863 2003774 2003948 2004203 "ORDTYPE-" 2004208 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-862 2003387 2003657 2003743 "ORDSTRCT" 2003748 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-861 2002957 2003255 2003283 "ORDSET" 2003288 T ORDSET (NIL) -9 NIL 2003310 NIL) (-860 2001495 2002286 2002314 "ORDRING" 2002516 T ORDRING (NIL) -9 NIL 2002641 NIL) (-859 2001140 2001234 2001378 "ORDRING-" 2001383 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 2000493 2000956 2000984 "ORDMON" 2000989 T ORDMON (NIL) -9 NIL 2001010 NIL) (-857 1999655 1999802 1999997 "ORDFUNS" 2000342 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1998966 1999385 1999413 "ORDFIN" 1999478 T ORDFIN (NIL) -9 NIL 1999552 NIL) (-855 1995525 1997552 1997961 "ORDCOMP" 1998590 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1994791 1994918 1995104 "ORDCOMP2" 1995385 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1991372 1992282 1993096 "OPTPROB" 1993997 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1988174 1988813 1989517 "OPTPACK" 1990688 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1985847 1986613 1986641 "OPTCAT" 1987460 T OPTCAT (NIL) -9 NIL 1988110 NIL) (-850 1985231 1985524 1985629 "OPSIG" 1985762 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1984999 1985038 1985104 "OPQUERY" 1985185 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1982130 1983310 1983814 "OP" 1984528 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1981490 1981716 1981757 "OPERCAT" 1981969 NIL OPERCAT (NIL T) -9 NIL 1982066 NIL) (-846 1981245 1981301 1981418 "OPERCAT-" 1981423 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1978058 1980042 1980411 "ONECOMP" 1980909 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1977363 1977478 1977652 "ONECOMP2" 1977930 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1976782 1976888 1977018 "OMSERVER" 1977253 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1973644 1976222 1976262 "OMSAGG" 1976323 NIL OMSAGG (NIL T) -9 NIL 1976387 NIL) (-841 1972267 1972530 1972812 "OMPKG" 1973382 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1971697 1971800 1971828 "OM" 1972127 T OM (NIL) -9 NIL NIL NIL) (-839 1970244 1971246 1971415 "OMLO" 1971578 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1969204 1969351 1969571 "OMEXPR" 1970070 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1968495 1968750 1968886 "OMERR" 1969088 T OMERR (NIL) -8 NIL NIL NIL) (-836 1967646 1967916 1968076 "OMERRK" 1968355 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1967097 1967323 1967431 "OMENC" 1967558 T OMENC (NIL) -8 NIL NIL NIL) (-834 1960992 1962177 1963348 "OMDEV" 1965946 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1960061 1960232 1960426 "OMCONN" 1960818 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1958555 1959531 1959559 "OINTDOM" 1959564 T OINTDOM (NIL) -9 NIL 1959585 NIL) (-831 1955893 1957243 1957580 "OFMONOID" 1958250 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1955265 1955830 1955875 "ODVAR" 1955880 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1952688 1955010 1955165 "ODR" 1955170 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1944993 1952464 1952590 "ODPOL" 1952595 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1938792 1944865 1944970 "ODP" 1944975 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1937558 1937773 1938048 "ODETOOLS" 1938566 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1934525 1935183 1935899 "ODESYS" 1936891 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1929407 1930315 1931340 "ODERTRIC" 1933600 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1928833 1928915 1929109 "ODERED" 1929319 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1925721 1926269 1926946 "ODERAT" 1928256 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1922680 1923145 1923742 "ODEPRRIC" 1925250 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1920623 1921219 1921705 "ODEPROB" 1922214 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1917143 1917628 1918275 "ODEPRIM" 1920102 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1916392 1916494 1916754 "ODEPAL" 1917035 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1912554 1913345 1914209 "ODEPACK" 1915548 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1911615 1911722 1911944 "ODEINT" 1912443 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1905716 1907141 1908588 "ODEIFTBL" 1910188 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1901114 1901900 1902852 "ODEEF" 1904875 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1900463 1900552 1900775 "ODECONST" 1901019 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1898574 1899235 1899263 "ODECAT" 1899868 T ODECAT (NIL) -9 NIL 1900399 NIL) (-811 1895429 1898279 1898401 "OCT" 1898484 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1895067 1895110 1895237 "OCTCT2" 1895380 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1889674 1892110 1892150 "OC" 1893247 NIL OC (NIL T) -9 NIL 1894105 NIL) (-808 1886901 1887649 1888639 "OC-" 1888733 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1886226 1886694 1886722 "OCAMON" 1886727 T OCAMON (NIL) -9 NIL 1886748 NIL) (-806 1885730 1886071 1886099 "OASGP" 1886104 T OASGP (NIL) -9 NIL 1886124 NIL) (-805 1884964 1885453 1885481 "OAMONS" 1885521 T OAMONS (NIL) -9 NIL 1885564 NIL) (-804 1884351 1884784 1884812 "OAMON" 1884817 T OAMON (NIL) -9 NIL 1884837 NIL) (-803 1883582 1884100 1884128 "OAGROUP" 1884133 T OAGROUP (NIL) -9 NIL 1884153 NIL) (-802 1883272 1883322 1883410 "NUMTUBE" 1883526 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1876845 1878363 1879899 "NUMQUAD" 1881756 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1872601 1873589 1874614 "NUMODE" 1875840 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1869942 1870822 1870850 "NUMINT" 1871773 T NUMINT (NIL) -9 NIL 1872537 NIL) (-798 1868890 1869087 1869305 "NUMFMT" 1869744 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1855249 1858194 1860726 "NUMERIC" 1866397 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1849619 1854698 1854793 "NTSCAT" 1854798 NIL NTSCAT (NIL T T T T) -9 NIL 1854837 NIL) (-795 1848813 1848978 1849171 "NTPOLFN" 1849458 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1836614 1845638 1846450 "NSUP" 1848034 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1836246 1836303 1836412 "NSUP2" 1836551 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1826196 1836020 1836153 "NSMP" 1836158 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1824628 1824929 1825286 "NREP" 1825884 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1823219 1823471 1823829 "NPCOEF" 1824371 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1822285 1822400 1822616 "NORMRETR" 1823100 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1820326 1820616 1821025 "NORMPK" 1821993 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1820011 1820039 1820163 "NORMMA" 1820292 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1819811 1819968 1819997 "NONE" 1820002 T NONE (NIL) -8 NIL NIL NIL) (-785 1819600 1819629 1819698 "NONE1" 1819775 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1819097 1819159 1819338 "NODE1" 1819532 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1817378 1818229 1818484 "NNI" 1818831 T NNI (NIL) -8 NIL NIL 1819066) (-782 1815798 1816111 1816475 "NLINSOL" 1817046 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1812039 1813034 1813933 "NIPROB" 1814919 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1810796 1811030 1811332 "NFINTBAS" 1811801 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1809970 1810446 1810487 "NETCLT" 1810659 NIL NETCLT (NIL T) -9 NIL 1810741 NIL) (-778 1808678 1808909 1809190 "NCODIV" 1809738 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1808440 1808477 1808552 "NCNTFRAC" 1808635 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1806620 1806984 1807404 "NCEP" 1808065 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1805457 1806230 1806258 "NASRING" 1806368 T NASRING (NIL) -9 NIL 1806448 NIL) (-774 1805252 1805296 1805390 "NASRING-" 1805395 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1804345 1804870 1804898 "NARNG" 1805015 T NARNG (NIL) -9 NIL 1805106 NIL) (-772 1804037 1804104 1804238 "NARNG-" 1804243 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1802916 1803123 1803358 "NAGSP" 1803822 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1794188 1795872 1797545 "NAGS" 1801263 T NAGS (NIL) -7 NIL NIL NIL) (-769 1792736 1793044 1793375 "NAGF07" 1793877 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1787274 1788565 1789872 "NAGF04" 1791449 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1780242 1781856 1783489 "NAGF02" 1785661 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1775466 1776566 1777683 "NAGF01" 1779145 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1769094 1770660 1772245 "NAGE04" 1773901 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1760263 1762384 1764514 "NAGE02" 1766984 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1756216 1757163 1758127 "NAGE01" 1759319 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1754011 1754545 1755103 "NAGD03" 1755678 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1745761 1747689 1749643 "NAGD02" 1752077 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1739572 1740997 1742437 "NAGD01" 1744341 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1735781 1736603 1737440 "NAGC06" 1738755 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1734246 1734578 1734934 "NAGC05" 1735445 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1733622 1733741 1733885 "NAGC02" 1734122 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1732567 1733150 1733190 "NAALG" 1733269 NIL NAALG (NIL T) -9 NIL 1733330 NIL) (-755 1732402 1732431 1732521 "NAALG-" 1732526 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1726352 1727460 1728647 "MULTSQFR" 1731298 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1725671 1725746 1725930 "MULTFACT" 1726264 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1718342 1722256 1722309 "MTSCAT" 1723379 NIL MTSCAT (NIL T T) -9 NIL 1723894 NIL) (-751 1718054 1718108 1718200 "MTHING" 1718282 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1717846 1717879 1717939 "MSYSCMD" 1718014 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1713928 1716601 1716921 "MSET" 1717559 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1710997 1713489 1713530 "MSETAGG" 1713535 NIL MSETAGG (NIL T) -9 NIL 1713569 NIL) (-747 1706839 1708376 1709121 "MRING" 1710297 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1706405 1706472 1706603 "MRF2" 1706766 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1706023 1706058 1706202 "MRATFAC" 1706364 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1703635 1703930 1704361 "MPRFF" 1705728 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1697656 1703489 1703586 "MPOLY" 1703591 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1697146 1697181 1697389 "MPCPF" 1697615 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1696660 1696703 1696887 "MPC3" 1697097 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1695855 1695936 1696157 "MPC2" 1696575 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1694156 1694493 1694883 "MONOTOOL" 1695515 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1693367 1693684 1693712 "MONOID" 1693931 T MONOID (NIL) -9 NIL 1694078 NIL) (-737 1692913 1693032 1693213 "MONOID-" 1693218 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1682503 1688733 1688792 "MONOGEN" 1689466 NIL MONOGEN (NIL T T) -9 NIL 1689922 NIL) (-735 1679721 1680456 1681456 "MONOGEN-" 1681575 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1678540 1678986 1679014 "MONADWU" 1679406 T MONADWU (NIL) -9 NIL 1679644 NIL) (-733 1677912 1678071 1678319 "MONADWU-" 1678324 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1677257 1677501 1677529 "MONAD" 1677736 T MONAD (NIL) -9 NIL 1677848 NIL) (-731 1676942 1677020 1677152 "MONAD-" 1677157 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1675231 1675855 1676134 "MOEBIUS" 1676695 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1674495 1674899 1674939 "MODULE" 1674944 NIL MODULE (NIL T) -9 NIL 1674983 NIL) (-728 1674063 1674159 1674349 "MODULE-" 1674354 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1671743 1672427 1672754 "MODRING" 1673887 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1668687 1669848 1670369 "MODOP" 1671272 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1667275 1667754 1668031 "MODMONOM" 1668550 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1657043 1665566 1665980 "MODMON" 1666912 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1654199 1655887 1656163 "MODFIELD" 1656918 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1653176 1653480 1653670 "MMLFORM" 1654029 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1652702 1652745 1652924 "MMAP" 1653127 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1650767 1651534 1651575 "MLO" 1651998 NIL MLO (NIL T) -9 NIL 1652240 NIL) (-719 1648133 1648649 1649251 "MLIFT" 1650248 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1647524 1647608 1647762 "MKUCFUNC" 1648044 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1647123 1647193 1647316 "MKRECORD" 1647447 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1646170 1646332 1646560 "MKFUNC" 1646934 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1645558 1645662 1645818 "MKFLCFN" 1646053 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1644835 1644937 1645122 "MKBCFUNC" 1645451 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1641424 1644389 1644525 "MINT" 1644719 T MINT (NIL) -8 NIL NIL NIL) (-712 1640236 1640479 1640756 "MHROWRED" 1641179 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1635616 1638771 1639176 "MFLOAT" 1639851 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1634973 1635049 1635220 "MFINFACT" 1635528 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1631288 1632136 1633020 "MESH" 1634109 T MESH (NIL) -7 NIL NIL NIL) (-708 1629678 1629990 1630343 "MDDFACT" 1630975 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1626448 1628809 1628850 "MDAGG" 1629105 NIL MDAGG (NIL T) -9 NIL 1629248 NIL) (-706 1615142 1625741 1625948 "MCMPLX" 1626261 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1614279 1614425 1614626 "MCDEN" 1614991 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1612169 1612439 1612819 "MCALCFN" 1614009 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1611094 1611334 1611567 "MAYBE" 1611975 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1608706 1609229 1609791 "MATSTOR" 1610565 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1604618 1608078 1608326 "MATRIX" 1608491 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1600384 1601091 1601827 "MATLIN" 1603975 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1590210 1593441 1593518 "MATCAT" 1598550 NIL MATCAT (NIL T T T) -9 NIL 1600022 NIL) (-698 1586403 1587473 1588886 "MATCAT-" 1588891 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1584997 1585150 1585483 "MATCAT2" 1586238 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1583109 1583433 1583817 "MAPPKG3" 1584672 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1582090 1582263 1582485 "MAPPKG2" 1582933 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1580589 1580873 1581200 "MAPPKG1" 1581796 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1579668 1579995 1580172 "MAPPAST" 1580432 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1579279 1579337 1579460 "MAPHACK3" 1579604 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1578871 1578932 1579046 "MAPHACK2" 1579211 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1578309 1578412 1578554 "MAPHACK1" 1578762 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1576388 1577009 1577313 "MAGMA" 1578037 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1575867 1576112 1576203 "MACROAST" 1576317 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1572288 1574106 1574567 "M3D" 1575439 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1566338 1570599 1570640 "LZSTAGG" 1571422 NIL LZSTAGG (NIL T) -9 NIL 1571717 NIL) (-685 1562296 1563469 1564926 "LZSTAGG-" 1564931 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1559383 1560187 1560674 "LWORD" 1561841 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1558959 1559187 1559262 "LSTAST" 1559328 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1551849 1558730 1558864 "LSQM" 1558869 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1551073 1551212 1551440 "LSPP" 1551704 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1548885 1549186 1549642 "LSMP" 1550762 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1545664 1546338 1547068 "LSMP1" 1548187 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1539466 1544754 1544795 "LSAGG" 1544857 NIL LSAGG (NIL T) -9 NIL 1544935 NIL) (-677 1536161 1537085 1538298 "LSAGG-" 1538303 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1533760 1535305 1535554 "LPOLY" 1535956 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1533342 1533427 1533550 "LPEFRAC" 1533669 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1531663 1532436 1532689 "LO" 1533174 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1531275 1531413 1531441 "LOGIC" 1531552 T LOGIC (NIL) -9 NIL 1531633 NIL) (-672 1531137 1531160 1531231 "LOGIC-" 1531236 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1530330 1530470 1530663 "LODOOPS" 1530993 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1527753 1530246 1530312 "LODO" 1530317 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1526291 1526526 1526879 "LODOF" 1527500 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1522495 1524926 1524967 "LODOCAT" 1525405 NIL LODOCAT (NIL T) -9 NIL 1525616 NIL) (-667 1522228 1522286 1522413 "LODOCAT-" 1522418 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1519548 1522069 1522187 "LODO2" 1522192 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1516983 1519485 1519530 "LODO1" 1519535 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1515864 1516029 1516334 "LODEEF" 1516806 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1511142 1514030 1514071 "LNAGG" 1514933 NIL LNAGG (NIL T) -9 NIL 1515368 NIL) (-662 1510289 1510503 1510845 "LNAGG-" 1510850 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1506425 1507214 1507853 "LMOPS" 1509704 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1505814 1506202 1506243 "LMODULE" 1506248 NIL LMODULE (NIL T) -9 NIL 1506274 NIL) (-659 1503015 1505459 1505582 "LMDICT" 1505724 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1502633 1502805 1502846 "LLINSET" 1502907 NIL LLINSET (NIL T) -9 NIL 1502951 NIL) (-657 1502332 1502541 1502601 "LITERAL" 1502606 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1495498 1501266 1501570 "LIST" 1502061 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1495023 1495097 1495236 "LIST3" 1495418 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1494030 1494208 1494436 "LIST2" 1494841 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1492164 1492476 1492875 "LIST2MAP" 1493677 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1491795 1491983 1492024 "LINSET" 1492029 NIL LINSET (NIL T) -9 NIL 1492063 NIL) (-651 1490208 1490822 1490863 "LINEXP" 1491353 NIL LINEXP (NIL T) -9 NIL 1491626 NIL) (-650 1488785 1489045 1489356 "LINDEP" 1489960 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1485552 1486271 1487048 "LIMITRF" 1488040 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1483855 1484151 1484560 "LIMITPS" 1485247 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1478283 1483366 1483594 "LIE" 1483676 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1477217 1477686 1477726 "LIECAT" 1477866 NIL LIECAT (NIL T) -9 NIL 1478017 NIL) (-645 1477058 1477085 1477173 "LIECAT-" 1477178 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1469651 1476598 1476754 "LIB" 1476922 T LIB (NIL) -8 NIL NIL NIL) (-643 1465286 1466169 1467104 "LGROBP" 1468768 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1463284 1463558 1463908 "LF" 1465007 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1462124 1462816 1462844 "LFCAT" 1463051 T LFCAT (NIL) -9 NIL 1463190 NIL) (-640 1459026 1459656 1460344 "LEXTRIPK" 1461488 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1455770 1456596 1457099 "LEXP" 1458606 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1455246 1455491 1455583 "LETAST" 1455698 T LETAST (NIL) -8 NIL NIL NIL) (-637 1453644 1453957 1454358 "LEADCDET" 1454928 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1452834 1452908 1453137 "LAZM3PK" 1453565 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1447751 1450911 1451449 "LAUPOL" 1452346 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1447330 1447374 1447535 "LAPLACE" 1447701 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1445269 1446431 1446682 "LA" 1447163 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1444249 1444833 1444874 "LALG" 1444936 NIL LALG (NIL T) -9 NIL 1444995 NIL) (-631 1443963 1444022 1444158 "LALG-" 1444163 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1443798 1443822 1443863 "KVTFROM" 1443925 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1442721 1443165 1443350 "KTVLOGIC" 1443633 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1442556 1442580 1442621 "KRCFROM" 1442683 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1441460 1441647 1441946 "KOVACIC" 1442356 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1441295 1441319 1441360 "KONVERT" 1441422 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1441130 1441154 1441195 "KOERCE" 1441257 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1438961 1439723 1440100 "KERNEL" 1440786 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1438457 1438538 1438670 "KERNEL2" 1438875 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1432168 1436934 1436988 "KDAGG" 1437365 NIL KDAGG (NIL T T) -9 NIL 1437571 NIL) (-621 1431697 1431821 1432026 "KDAGG-" 1432031 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1424845 1431358 1431513 "KAFILE" 1431575 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1419273 1424356 1424584 "JORDAN" 1424666 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1418652 1418922 1419043 "JOINAST" 1419172 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1418498 1418557 1418612 "JAVACODE" 1418617 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1414725 1416675 1416729 "IXAGG" 1417658 NIL IXAGG (NIL T T) -9 NIL 1418117 NIL) (-615 1413644 1413950 1414369 "IXAGG-" 1414374 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1409177 1413566 1413625 "IVECTOR" 1413630 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1407943 1408180 1408446 "ITUPLE" 1408944 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1406445 1406622 1406917 "ITRIGMNP" 1407765 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1405190 1405394 1405677 "ITFUN3" 1406221 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1404822 1404879 1404988 "ITFUN2" 1405127 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1403981 1404302 1404476 "ITFORM" 1404668 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1401942 1403001 1403279 "ITAYLOR" 1403736 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1390887 1396079 1397242 "ISUPS" 1400812 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1389991 1390131 1390367 "ISUMP" 1390734 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1385369 1389936 1389977 "ISTRING" 1389982 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1384845 1385090 1385182 "ISAST" 1385297 T ISAST (NIL) -8 NIL NIL NIL) (-603 1384054 1384136 1384352 "IRURPK" 1384759 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1382990 1383191 1383431 "IRSN" 1383834 T IRSN (NIL) -7 NIL NIL NIL) (-601 1381061 1381416 1381845 "IRRF2F" 1382628 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1380808 1380846 1380922 "IRREDFFX" 1381017 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1379423 1379682 1379981 "IROOT" 1380541 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1376027 1377107 1377799 "IR" 1378763 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1375232 1375520 1375671 "IRFORM" 1375896 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1372845 1373340 1373906 "IR2" 1374710 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1371945 1372058 1372272 "IR2F" 1372728 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1371736 1371770 1371830 "IPRNTPK" 1371905 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1368317 1371625 1371694 "IPF" 1371699 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1366644 1368242 1368299 "IPADIC" 1368304 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1365956 1366204 1366334 "IP4ADDR" 1366534 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1365330 1365585 1365717 "IOMODE" 1365844 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1364403 1364927 1365054 "IOBFILE" 1365223 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1363891 1364307 1364335 "IOBCON" 1364340 T IOBCON (NIL) -9 NIL 1364361 NIL) (-587 1363402 1363460 1363643 "INVLAPLA" 1363827 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1353050 1355404 1357790 "INTTR" 1361066 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1349385 1350127 1350992 "INTTOOLS" 1352235 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1348971 1349062 1349179 "INTSLPE" 1349288 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1346924 1348894 1348953 "INTRVL" 1348958 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1344526 1345038 1345613 "INTRF" 1346409 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1343937 1344034 1344176 "INTRET" 1344424 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1341934 1342323 1342793 "INTRAT" 1343545 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1339197 1339780 1340399 "INTPM" 1341419 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1335942 1336541 1337279 "INTPAF" 1338583 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1331121 1332083 1333134 "INTPACK" 1334911 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1327933 1330918 1331027 "INT" 1331032 T INT (NIL) -8 NIL NIL NIL) (-575 1327185 1327337 1327545 "INTHERTR" 1327775 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1326624 1326704 1326892 "INTHERAL" 1327099 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1324470 1324913 1325370 "INTHEORY" 1326187 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1315876 1317497 1319269 "INTG0" 1322822 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1296449 1301239 1306049 "INTFTBL" 1311086 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1295698 1295836 1296009 "INTFACT" 1296308 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1293125 1293571 1294128 "INTEF" 1295252 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1291478 1292217 1292245 "INTDOM" 1292546 T INTDOM (NIL) -9 NIL 1292753 NIL) (-567 1290847 1291021 1291263 "INTDOM-" 1291268 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1287207 1289136 1289190 "INTCAT" 1289989 NIL INTCAT (NIL T) -9 NIL 1290310 NIL) (-565 1286679 1286782 1286910 "INTBIT" 1287099 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1285378 1285532 1285839 "INTALG" 1286524 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1284861 1284951 1285108 "INTAF" 1285282 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1278210 1284671 1284811 "INTABL" 1284816 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1277543 1278009 1278074 "INT8" 1278108 T INT8 (NIL) -8 NIL NIL 1278153) (-560 1276875 1277341 1277406 "INT64" 1277440 T INT64 (NIL) -8 NIL NIL 1277485) (-559 1276207 1276673 1276738 "INT32" 1276772 T INT32 (NIL) -8 NIL NIL 1276817) (-558 1275539 1276005 1276070 "INT16" 1276104 T INT16 (NIL) -8 NIL NIL 1276149) (-557 1270234 1273087 1273115 "INS" 1274049 T INS (NIL) -9 NIL 1274714 NIL) (-556 1267474 1268245 1269219 "INS-" 1269292 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1266249 1266476 1266774 "INPSIGN" 1267227 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1265367 1265484 1265681 "INPRODPF" 1266129 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1264261 1264378 1264615 "INPRODFF" 1265247 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1263261 1263413 1263673 "INNMFACT" 1264097 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1262458 1262555 1262743 "INMODGCD" 1263160 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1260966 1261211 1261535 "INFSP" 1262203 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1260150 1260267 1260450 "INFPROD0" 1260846 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1257005 1258215 1258730 "INFORM" 1259643 T INFORM (NIL) -8 NIL NIL NIL) (-547 1256615 1256675 1256773 "INFORM1" 1256940 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1256138 1256227 1256341 "INFINITY" 1256521 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1255314 1255858 1255959 "INETCLTS" 1256057 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1253930 1254180 1254501 "INEP" 1255062 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1253135 1253827 1253892 "INDE" 1253897 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1252699 1252767 1252884 "INCRMAPS" 1253062 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1251517 1251968 1252174 "INBFILE" 1252513 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1246816 1247753 1248697 "INBFF" 1250605 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1245724 1245993 1246021 "INBCON" 1246534 T INBCON (NIL) -9 NIL 1246800 NIL) (-538 1244976 1245199 1245475 "INBCON-" 1245480 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1244455 1244700 1244791 "INAST" 1244905 T INAST (NIL) -8 NIL NIL NIL) (-536 1243882 1244134 1244240 "IMPTAST" 1244369 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1240283 1243726 1243830 "IMATRIX" 1243835 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1238991 1239114 1239430 "IMATQF" 1240139 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1237211 1237438 1237775 "IMATLIN" 1238747 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1231792 1237135 1237193 "ILIST" 1237198 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1229700 1231652 1231765 "IIARRAY2" 1231770 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1225098 1229611 1229675 "IFF" 1229680 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1224445 1224715 1224831 "IFAST" 1225002 T IFAST (NIL) -8 NIL NIL NIL) (-528 1219443 1223737 1223925 "IFARRAY" 1224302 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1218623 1219347 1219420 "IFAMON" 1219425 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1218207 1218272 1218326 "IEVALAB" 1218533 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1217882 1217950 1218110 "IEVALAB-" 1218115 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1217472 1217796 1217859 "IDPO" 1217864 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1216680 1217361 1217436 "IDPOAMS" 1217441 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1215945 1216569 1216644 "IDPOAM" 1216649 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1214802 1215119 1215172 "IDPC" 1215690 NIL IDPC (NIL T T) -9 NIL 1215881 NIL) (-520 1214230 1214694 1214767 "IDPAM" 1214772 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1213324 1213923 1214045 "IDPAG" 1214151 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1212969 1213160 1213235 "IDENT" 1213269 T IDENT (NIL) -8 NIL NIL NIL) (-517 1209224 1210072 1210967 "IDECOMP" 1212126 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1202061 1203147 1204194 "IDEAL" 1208260 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1201221 1201333 1201533 "ICDEN" 1201945 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1200292 1200701 1200848 "ICARD" 1201094 T ICARD (NIL) -8 NIL NIL NIL) (-513 1198352 1198665 1199070 "IBPTOOLS" 1199969 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1193959 1197972 1198085 "IBITS" 1198271 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1190682 1191258 1191953 "IBATOOL" 1193376 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1188461 1188923 1189456 "IBACHIN" 1190217 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1186293 1188307 1188410 "IARRAY2" 1188415 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1182402 1186219 1186276 "IARRAY1" 1186281 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1176262 1180814 1181295 "IAN" 1181941 T IAN (NIL) -8 NIL NIL NIL) (-506 1175773 1175830 1176003 "IALGFACT" 1176199 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1175301 1175414 1175442 "HYPCAT" 1175649 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1174839 1174956 1175142 "HYPCAT-" 1175147 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1174434 1174634 1174717 "HOSTNAME" 1174776 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1174279 1174316 1174357 "HOMOTOP" 1174362 NIL HOMOTOP (NIL T) -9 NIL 1174395 NIL) (-501 1170836 1172211 1172252 "HOAGG" 1173233 NIL HOAGG (NIL T) -9 NIL 1173962 NIL) (-500 1169430 1169829 1170355 "HOAGG-" 1170360 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1163146 1169023 1169173 "HEXADEC" 1169300 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1161894 1162116 1162379 "HEUGCD" 1162923 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1160970 1161731 1161861 "HELLFDIV" 1161866 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1159152 1160747 1160835 "HEAP" 1160914 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1158415 1158704 1158838 "HEADAST" 1159038 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1152258 1158330 1158392 "HDP" 1158397 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1145970 1151893 1152045 "HDMP" 1152159 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1145294 1145434 1145598 "HB" 1145826 T HB (NIL) -7 NIL NIL NIL) (-491 1138686 1145140 1145244 "HASHTBL" 1145249 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1138162 1138407 1138499 "HASAST" 1138614 T HASAST (NIL) -8 NIL NIL NIL) (-489 1135940 1137784 1137966 "HACKPI" 1138000 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1131608 1135793 1135906 "GTSET" 1135911 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1125029 1131486 1131584 "GSTBL" 1131589 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1117416 1124194 1124450 "GSERIES" 1124829 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1116543 1116960 1116988 "GROUP" 1117191 T GROUP (NIL) -9 NIL 1117325 NIL) (-484 1115909 1116068 1116319 "GROUP-" 1116324 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1114276 1114597 1114984 "GROEBSOL" 1115586 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1113176 1113464 1113515 "GRMOD" 1114044 NIL GRMOD (NIL T T) -9 NIL 1114212 NIL) (-481 1112944 1112980 1113108 "GRMOD-" 1113113 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1108234 1109298 1110298 "GRIMAGE" 1111964 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1106700 1106961 1107285 "GRDEF" 1107930 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1106144 1106260 1106401 "GRAY" 1106579 T GRAY (NIL) -7 NIL NIL NIL) (-477 1105317 1105723 1105774 "GRALG" 1105927 NIL GRALG (NIL T T) -9 NIL 1106020 NIL) (-476 1104978 1105051 1105214 "GRALG-" 1105219 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1101755 1104563 1104741 "GPOLSET" 1104885 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1101109 1101166 1101424 "GOSPER" 1101692 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1096841 1097547 1098073 "GMODPOL" 1100808 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1095846 1096030 1096268 "GHENSEL" 1096653 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1090002 1090845 1091865 "GENUPS" 1094930 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1089699 1089750 1089839 "GENUFACT" 1089945 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1089111 1089188 1089353 "GENPGCD" 1089617 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1088585 1088620 1088833 "GENMFACT" 1089070 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1087151 1087408 1087715 "GENEEZ" 1088328 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1081023 1086762 1086924 "GDMP" 1087074 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1070366 1074794 1075900 "GCNAALG" 1080006 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1068679 1069541 1069569 "GCDDOM" 1069824 T GCDDOM (NIL) -9 NIL 1069981 NIL) (-463 1068149 1068276 1068491 "GCDDOM-" 1068496 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1066821 1067006 1067310 "GB" 1067928 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1055437 1057767 1060159 "GBINTERN" 1064512 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1053274 1053566 1053987 "GBF" 1055112 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1052055 1052220 1052487 "GBEUCLID" 1053090 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1051404 1051529 1051678 "GAUSSFAC" 1051926 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1049771 1050073 1050387 "GALUTIL" 1051123 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1048079 1048353 1048677 "GALPOLYU" 1049498 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1045444 1045734 1046141 "GALFACTU" 1047776 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1037250 1038749 1040357 "GALFACT" 1043876 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1034638 1035296 1035324 "FVFUN" 1036480 T FVFUN (NIL) -9 NIL 1037200 NIL) (-452 1033904 1034086 1034114 "FVC" 1034405 T FVC (NIL) -9 NIL 1034588 NIL) (-451 1033547 1033729 1033797 "FUNDESC" 1033856 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1033162 1033344 1033425 "FUNCTION" 1033499 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1030906 1031484 1031950 "FT" 1032716 T FT (NIL) -8 NIL NIL NIL) (-448 1029697 1030207 1030410 "FTEM" 1030723 T FTEM (NIL) -8 NIL NIL NIL) (-447 1027988 1028277 1028674 "FSUPFACT" 1029388 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1026385 1026674 1027006 "FST" 1027676 T FST (NIL) -8 NIL NIL NIL) (-445 1025584 1025690 1025878 "FSRED" 1026267 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1024283 1024539 1024886 "FSPRMELT" 1025299 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1021589 1022027 1022513 "FSPECF" 1023846 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 1002654 1011363 1011404 "FS" 1015288 NIL FS (NIL T) -9 NIL 1017577 NIL) (-441 991297 994290 998347 "FS-" 998647 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 990825 990879 991049 "FSINT" 991238 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 989117 989818 990121 "FSERIES" 990604 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 988159 988275 988499 "FSCINT" 988997 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 984367 987103 987144 "FSAGG" 987514 NIL FSAGG (NIL T) -9 NIL 987773 NIL) (-436 982129 982730 983526 "FSAGG-" 983621 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 981171 981314 981541 "FSAGG2" 981982 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 978849 979129 979677 "FS2UPS" 980889 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 978483 978526 978655 "FS2" 978800 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 977361 977532 977834 "FS2EXPXP" 978308 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 976787 976902 977054 "FRUTIL" 977241 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 968200 972282 973640 "FR" 975461 NIL FR (NIL T) -8 NIL NIL NIL) (-429 963214 965889 965929 "FRNAALG" 967249 NIL FRNAALG (NIL T) -9 NIL 967847 NIL) (-428 958887 959963 961238 "FRNAALG-" 961988 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 958525 958568 958695 "FRNAAF2" 958838 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 956900 957374 957670 "FRMOD" 958337 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 954643 955275 955593 "FRIDEAL" 956691 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 953834 953921 954212 "FRIDEAL2" 954550 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 952967 953381 953422 "FRETRCT" 953427 NIL FRETRCT (NIL T) -9 NIL 953603 NIL) (-422 952079 952310 952661 "FRETRCT-" 952666 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 949153 950363 950422 "FRAMALG" 951304 NIL FRAMALG (NIL T T) -9 NIL 951596 NIL) (-420 947287 947742 948372 "FRAMALG-" 948595 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 940930 946760 947037 "FRAC" 947042 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 940566 940623 940730 "FRAC2" 940867 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 940202 940259 940366 "FR2" 940503 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 934687 937581 937609 "FPS" 938728 T FPS (NIL) -9 NIL 939285 NIL) (-415 934136 934245 934409 "FPS-" 934555 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 931424 933093 933121 "FPC" 933346 T FPC (NIL) -9 NIL 933488 NIL) (-413 931217 931257 931354 "FPC-" 931359 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 930007 930705 930746 "FPATMAB" 930751 NIL FPATMAB (NIL T) -9 NIL 930903 NIL) (-411 928246 928749 929096 "FPARFRAC" 929723 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 923640 924138 924820 "FORTRAN" 927678 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 921356 921856 922395 "FORT" 923121 T FORT (NIL) -7 NIL NIL NIL) (-408 919032 919594 919622 "FORTFN" 920682 T FORTFN (NIL) -9 NIL 921306 NIL) (-407 918796 918846 918874 "FORTCAT" 918933 T FORTCAT (NIL) -9 NIL 918995 NIL) (-406 916902 917412 917802 "FORMULA" 918426 T FORMULA (NIL) -8 NIL NIL NIL) (-405 916690 916720 916789 "FORMULA1" 916866 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 916213 916265 916438 "FORDER" 916632 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 915309 915473 915666 "FOP" 916040 T FOP (NIL) -7 NIL NIL NIL) (-402 913890 914589 914763 "FNLA" 915191 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 912605 913020 913048 "FNCAT" 913508 T FNCAT (NIL) -9 NIL 913768 NIL) (-400 912144 912564 912592 "FNAME" 912597 T FNAME (NIL) -8 NIL NIL NIL) (-399 910680 911643 911671 "FMTC" 911676 T FMTC (NIL) -9 NIL 911712 NIL) (-398 909426 910616 910662 "FMONOID" 910667 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 906213 907381 907422 "FMONCAT" 908639 NIL FMONCAT (NIL T) -9 NIL 909244 NIL) (-396 905363 905955 906104 "FM" 906109 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 902787 903433 903461 "FMFUN" 904605 T FMFUN (NIL) -9 NIL 905313 NIL) (-394 902056 902237 902265 "FMC" 902555 T FMC (NIL) -9 NIL 902737 NIL) (-393 899121 899981 900035 "FMCAT" 901230 NIL FMCAT (NIL T T) -9 NIL 901725 NIL) (-392 897987 898887 898987 "FM1" 899066 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 895761 896177 896671 "FLOATRP" 897538 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 889339 893490 894111 "FLOAT" 895160 T FLOAT (NIL) -8 NIL NIL NIL) (-389 886777 887277 887855 "FLOATCP" 888806 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 885425 886369 886410 "FLINEXP" 886415 NIL FLINEXP (NIL T) -9 NIL 886508 NIL) (-387 884579 884814 885142 "FLINEXP-" 885147 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 883655 883799 884023 "FLASORT" 884431 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 880757 881625 881677 "FLALG" 882904 NIL FLALG (NIL T T) -9 NIL 883371 NIL) (-384 874417 878166 878207 "FLAGG" 879469 NIL FLAGG (NIL T) -9 NIL 880121 NIL) (-383 873143 873482 873972 "FLAGG-" 873977 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 872185 872328 872555 "FLAGG2" 872996 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 869022 870030 870089 "FINRALG" 871217 NIL FINRALG (NIL T T) -9 NIL 871725 NIL) (-380 868182 868411 868750 "FINRALG-" 868755 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 867548 867787 867815 "FINITE" 868011 T FINITE (NIL) -9 NIL 868118 NIL) (-378 859891 862078 862118 "FINAALG" 865785 NIL FINAALG (NIL T) -9 NIL 867238 NIL) (-377 855223 856273 857417 "FINAALG-" 858796 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 854591 854978 855081 "FILE" 855153 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 853235 853573 853627 "FILECAT" 854311 NIL FILECAT (NIL T T) -9 NIL 854527 NIL) (-374 850937 852465 852493 "FIELD" 852533 T FIELD (NIL) -9 NIL 852613 NIL) (-373 849557 849942 850453 "FIELD-" 850458 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 847407 848192 848539 "FGROUP" 849243 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 846497 846661 846881 "FGLMICPK" 847239 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 842329 846422 846479 "FFX" 846484 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 841930 841991 842126 "FFSLPE" 842262 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 837920 838702 839498 "FFPOLY" 841166 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 837424 837460 837669 "FFPOLY2" 837878 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 833270 837343 837406 "FFP" 837411 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 828668 833181 833245 "FF" 833250 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 823794 828011 828201 "FFNBX" 828522 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 818722 822929 823187 "FFNBP" 823648 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 813355 818006 818217 "FFNB" 818555 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 812187 812385 812700 "FFINTBAS" 813152 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 808213 810434 810462 "FFIELDC" 811082 T FFIELDC (NIL) -9 NIL 811458 NIL) (-359 806875 807246 807743 "FFIELDC-" 807748 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 806444 806490 806614 "FFHOM" 806817 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 804139 804626 805143 "FFF" 805959 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 799757 803881 803982 "FFCGX" 804082 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 795379 799489 799596 "FFCGP" 799700 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 790562 795106 795214 "FFCG" 795315 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 770091 780294 780380 "FFCAT" 785545 NIL FFCAT (NIL T T T) -9 NIL 786996 NIL) (-352 765288 766336 767650 "FFCAT-" 768880 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 764699 764742 764977 "FFCAT2" 765239 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 754022 757671 758891 "FEXPR" 763551 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 752984 753419 753460 "FEVALAB" 753544 NIL FEVALAB (NIL T) -9 NIL 753805 NIL) (-348 752143 752353 752691 "FEVALAB-" 752696 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 750709 751526 751729 "FDIV" 752042 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 747715 748456 748571 "FDIVCAT" 750139 NIL FDIVCAT (NIL T T T T) -9 NIL 750576 NIL) (-345 747477 747504 747674 "FDIVCAT-" 747679 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 746697 746784 747061 "FDIV2" 747384 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 745671 745992 746194 "FCTRDATA" 746515 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 744357 744616 744905 "FCPAK1" 745402 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 743456 743857 743998 "FCOMP" 744248 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 727161 730606 734144 "FC" 739938 T FC (NIL) -8 NIL NIL NIL) (-339 719454 723482 723522 "FAXF" 725324 NIL FAXF (NIL T) -9 NIL 726016 NIL) (-338 716731 717388 718213 "FAXF-" 718678 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 711786 716107 716283 "FARRAY" 716588 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 706666 708733 708786 "FAMR" 709809 NIL FAMR (NIL T T) -9 NIL 710269 NIL) (-335 705556 705858 706293 "FAMR-" 706298 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 704725 705478 705531 "FAMONOID" 705536 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 702497 703207 703260 "FAMONC" 704201 NIL FAMONC (NIL T T) -9 NIL 704587 NIL) (-332 701161 702251 702388 "FAGROUP" 702393 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 698956 699275 699678 "FACUTIL" 700842 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 698055 698240 698462 "FACTFUNC" 698766 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 690477 697358 697557 "EXPUPXS" 697911 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 687960 688500 689086 "EXPRTUBE" 689911 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 684231 684823 685553 "EXPRODE" 687299 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 669715 682880 683309 "EXPR" 683835 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 664269 664856 665662 "EXPR2UPS" 669013 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 663901 663958 664067 "EXPR2" 664206 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 654898 663052 663343 "EXPEXPAN" 663737 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 654698 654855 654884 "EXIT" 654889 T EXIT (NIL) -8 NIL NIL NIL) (-321 654178 654422 654513 "EXITAST" 654627 T EXITAST (NIL) -8 NIL NIL NIL) (-320 653805 653867 653980 "EVALCYC" 654110 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 653346 653464 653505 "EVALAB" 653675 NIL EVALAB (NIL T) -9 NIL 653779 NIL) (-318 652827 652949 653170 "EVALAB-" 653175 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 650181 651483 651511 "EUCDOM" 652066 T EUCDOM (NIL) -9 NIL 652416 NIL) (-316 648586 649028 649618 "EUCDOM-" 649623 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 636125 638884 641634 "ESTOOLS" 645856 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 635757 635814 635923 "ESTOOLS2" 636062 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 635508 635550 635630 "ESTOOLS1" 635709 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 629531 631139 631167 "ES" 633935 T ES (NIL) -9 NIL 635345 NIL) (-311 624478 625765 627582 "ES-" 627746 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 620852 621613 622393 "ESCONT" 623718 T ESCONT (NIL) -7 NIL NIL NIL) (-309 620597 620629 620711 "ESCONT1" 620814 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 620272 620322 620422 "ES2" 620541 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 619902 619960 620069 "ES1" 620208 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 619118 619247 619423 "ERROR" 619746 T ERROR (NIL) -7 NIL NIL NIL) (-305 612516 618977 619068 "EQTBL" 619073 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 605019 607830 609279 "EQ" 611100 NIL -2037 (NIL T) -8 NIL NIL NIL) (-303 604651 604708 604817 "EQ2" 604956 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 599942 600989 602082 "EP" 603590 NIL EP (NIL T) -7 NIL NIL NIL) (-301 598542 598833 599139 "ENV" 599656 T ENV (NIL) -8 NIL NIL NIL) (-300 597622 598176 598204 "ENTIRER" 598209 T ENTIRER (NIL) -9 NIL 598255 NIL) (-299 594316 595804 596165 "EMR" 597430 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 593446 593631 593685 "ELTAGG" 594065 NIL ELTAGG (NIL T T) -9 NIL 594276 NIL) (-297 593165 593227 593368 "ELTAGG-" 593373 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 592929 592958 593012 "ELTAB" 593096 NIL ELTAB (NIL T T) -9 NIL 593148 NIL) (-295 592055 592201 592400 "ELFUTS" 592780 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 591797 591853 591881 "ELEMFUN" 591986 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 591667 591688 591756 "ELEMFUN-" 591761 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 586456 589709 589750 "ELAGG" 590690 NIL ELAGG (NIL T) -9 NIL 591153 NIL) (-291 584741 585175 585838 "ELAGG-" 585843 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 584053 584190 584346 "ELABOR" 584605 T ELABOR (NIL) -8 NIL NIL NIL) (-289 582714 582993 583287 "ELABEXPR" 583779 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 575548 577351 578180 "EFUPXS" 581989 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 568996 570797 571608 "EFULS" 574823 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 566481 566839 567311 "EFSTRUC" 568628 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 556272 557838 559386 "EF" 564996 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 555346 555757 555906 "EAB" 556143 T EAB (NIL) -8 NIL NIL NIL) (-283 554528 555305 555333 "E04UCFA" 555338 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 553710 554487 554515 "E04NAFA" 554520 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 552892 553669 553697 "E04MBFA" 553702 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 552074 552851 552879 "E04JAFA" 552884 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 551258 552033 552061 "E04GCFA" 552066 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 550442 551217 551245 "E04FDFA" 551250 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 549624 550401 550429 "E04DGFA" 550434 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 543797 545149 546513 "E04AGNT" 548280 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 542555 543098 543138 "DVARCAT" 543479 NIL DVARCAT (NIL T) -9 NIL 543642 NIL) (-274 541759 541971 542285 "DVARCAT-" 542290 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 534620 541558 541687 "DSMP" 541692 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 533043 533762 533803 "DSEXT" 534166 NIL DSEXT (NIL T) -9 NIL 534460 NIL) (-271 531328 531756 532422 "DSEXT-" 532427 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 526109 527273 528341 "DROPT" 530280 T DROPT (NIL) -8 NIL NIL NIL) (-269 525774 525833 525931 "DROPT1" 526044 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 520889 522015 523152 "DROPT0" 524657 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 519234 519559 519945 "DRAWPT" 520523 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 513821 514744 515823 "DRAW" 518208 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 513454 513507 513625 "DRAWHACK" 513762 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 512185 512454 512745 "DRAWCX" 513183 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 511700 511769 511920 "DRAWCURV" 512111 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 502168 504130 506245 "DRAWCFUN" 509605 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 498907 500833 500874 "DQAGG" 501503 NIL DQAGG (NIL T) -9 NIL 501777 NIL) (-260 486372 493118 493201 "DPOLCAT" 495053 NIL DPOLCAT (NIL T T T T) -9 NIL 495598 NIL) (-259 481209 482557 484515 "DPOLCAT-" 484520 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 474556 481070 481168 "DPMO" 481173 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 467806 474336 474503 "DPMM" 474508 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 467376 467590 467679 "DOMTMPLT" 467737 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 466809 467178 467258 "DOMCTOR" 467316 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 466021 466289 466440 "DOMAIN" 466678 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 459733 465656 465808 "DMP" 465922 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 457678 458800 458841 "DMEXT" 458846 NIL DMEXT (NIL T) -9 NIL 459022 NIL) (-251 457278 457334 457478 "DLP" 457616 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 451103 456605 456795 "DLIST" 457120 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 447875 449928 449969 "DLAGG" 450519 NIL DLAGG (NIL T) -9 NIL 450749 NIL) (-248 446537 447201 447229 "DIVRING" 447321 T DIVRING (NIL) -9 NIL 447404 NIL) (-247 445774 445964 446264 "DIVRING-" 446269 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 443876 444233 444639 "DISPLAY" 445388 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 437739 443790 443853 "DIRPROD" 443858 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 436587 436790 437055 "DIRPROD2" 437532 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 425262 431298 431351 "DIRPCAT" 431609 NIL DIRPCAT (NIL NIL T) -9 NIL 432484 NIL) (-242 422588 423230 424111 "DIRPCAT-" 424448 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 421875 422035 422221 "DIOSP" 422422 T DIOSP (NIL) -7 NIL NIL NIL) (-240 418505 420759 420800 "DIOPS" 421234 NIL DIOPS (NIL T) -9 NIL 421463 NIL) (-239 418054 418168 418359 "DIOPS-" 418364 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 417105 417733 417761 "DIFRING" 417766 T DIFRING (NIL) -9 NIL 417788 NIL) (-237 416777 416851 416879 "DIFFSPC" 416998 T DIFFSPC (NIL) -9 NIL 417073 NIL) (-236 416422 416500 416652 "DIFFSPC-" 416657 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 415478 415956 415997 "DIFFMOD" 416002 NIL DIFFMOD (NIL T) -9 NIL 416100 NIL) (-234 415186 415231 415272 "DIFFDOM" 415393 NIL DIFFDOM (NIL T) -9 NIL 415461 NIL) (-233 415039 415063 415147 "DIFFDOM-" 415152 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 412971 414243 414284 "DIFEXT" 414289 NIL DIFEXT (NIL T) -9 NIL 414442 NIL) (-231 410221 412475 412516 "DIAGG" 412521 NIL DIAGG (NIL T) -9 NIL 412541 NIL) (-230 409605 409762 410014 "DIAGG-" 410019 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 404977 408564 408841 "DHMATRIX" 409374 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 400589 401498 402508 "DFSFUN" 403987 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 395667 399520 399832 "DFLOAT" 400297 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 393930 394211 394600 "DFINTTLS" 395375 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 390959 391951 392351 "DERHAM" 393596 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 388763 390734 390823 "DEQUEUE" 390903 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 388017 388150 388333 "DEGRED" 388625 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 384447 385192 386038 "DEFINTRF" 387245 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 382002 382471 383063 "DEFINTEF" 383966 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 381352 381622 381737 "DEFAST" 381907 T DEFAST (NIL) -8 NIL NIL NIL) (-219 375068 380945 381095 "DECIMAL" 381222 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 372580 373038 373544 "DDFACT" 374612 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 372176 372219 372370 "DBLRESP" 372531 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 370044 370406 370767 "DBASE" 371942 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 369286 369524 369670 "DATAARY" 369943 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 368392 369245 369273 "D03FAFA" 369278 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 367499 368351 368379 "D03EEFA" 368384 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 365449 365915 366404 "D03AGNT" 367030 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 364738 365408 365436 "D02EJFA" 365441 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 364027 364697 364725 "D02CJFA" 364730 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 363316 363986 364014 "D02BHFA" 364019 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 362605 363275 363303 "D02BBFA" 363308 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 355802 357391 358997 "D02AGNT" 361019 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 353570 354093 354639 "D01WGTS" 355276 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 352637 353529 353557 "D01TRNS" 353562 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 351705 352596 352624 "D01GBFA" 352629 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 350773 351664 351692 "D01FCFA" 351697 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 349841 350732 350760 "D01ASFA" 350765 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 348909 349800 349828 "D01AQFA" 349833 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 347977 348868 348896 "D01APFA" 348901 T D01APFA (NIL) -8 NIL NIL NIL) (-199 347045 347936 347964 "D01ANFA" 347969 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 346113 347004 347032 "D01AMFA" 347037 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 345181 346072 346100 "D01ALFA" 346105 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 344249 345140 345168 "D01AKFA" 345173 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 343317 344208 344236 "D01AJFA" 344241 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 336612 338165 339726 "D01AGNT" 341776 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 335949 336077 336229 "CYCLOTOM" 336480 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 332682 333397 334124 "CYCLES" 335242 T CYCLES (NIL) -7 NIL NIL NIL) (-191 331994 332128 332299 "CVMP" 332543 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 329835 330093 330462 "CTRIGMNP" 331722 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 329271 329629 329702 "CTOR" 329782 T CTOR (NIL) -8 NIL NIL NIL) (-188 328780 329002 329103 "CTORKIND" 329190 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 328057 328373 328401 "CTORCAT" 328583 T CTORCAT (NIL) -9 NIL 328696 NIL) (-186 327655 327766 327925 "CTORCAT-" 327930 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 327117 327329 327437 "CTORCALL" 327579 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 326491 326590 326743 "CSTTOOLS" 327014 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 322290 322947 323705 "CRFP" 325803 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 321765 322011 322103 "CRCEAST" 322218 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 320812 320997 321225 "CRAPACK" 321569 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 320196 320297 320501 "CPMATCH" 320688 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 319921 319949 320055 "CPIMA" 320162 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 316269 316941 317660 "COORDSYS" 319256 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 315681 315802 315944 "CONTOUR" 316147 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 311572 313684 314176 "CONTFRAC" 315221 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 311452 311473 311501 "CONDUIT" 311538 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 310526 311080 311108 "COMRING" 311113 T COMRING (NIL) -9 NIL 311165 NIL) (-173 309580 309884 310068 "COMPPROP" 310362 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 309241 309276 309404 "COMPLPAT" 309539 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 298544 309050 309159 "COMPLEX" 309164 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 298180 298237 298344 "COMPLEX2" 298481 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 297519 297640 297800 "COMPILER" 298040 T COMPILER (NIL) -8 NIL NIL NIL) (-168 297237 297272 297370 "COMPFACT" 297478 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 279516 290941 290981 "COMPCAT" 291985 NIL COMPCAT (NIL T) -9 NIL 293333 NIL) (-166 269028 271955 275582 "COMPCAT-" 275938 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 268757 268785 268888 "COMMUPC" 268994 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 268551 268585 268644 "COMMONOP" 268718 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 268107 268302 268389 "COMM" 268484 T COMM (NIL) -8 NIL NIL NIL) (-162 267683 267911 267986 "COMMAAST" 268052 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 266932 267126 267154 "COMBOPC" 267492 T COMBOPC (NIL) -9 NIL 267667 NIL) (-160 265828 266038 266280 "COMBINAT" 266722 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 262285 262859 263486 "COMBF" 265250 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 261043 261401 261636 "COLOR" 262070 T COLOR (NIL) -8 NIL NIL NIL) (-157 260519 260764 260856 "COLONAST" 260971 T COLONAST (NIL) -8 NIL NIL NIL) (-156 260159 260206 260331 "CMPLXRT" 260466 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 259607 259859 259958 "CLLCTAST" 260080 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 255109 256137 257217 "CLIP" 258547 T CLIP (NIL) -7 NIL NIL NIL) (-153 253450 254210 254450 "CLIF" 254936 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 249600 251568 251609 "CLAGG" 252538 NIL CLAGG (NIL T) -9 NIL 253074 NIL) (-151 248022 248479 249062 "CLAGG-" 249067 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 247566 247651 247791 "CINTSLPE" 247931 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 245067 245538 246086 "CHVAR" 247094 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 244227 244781 244809 "CHARZ" 244814 T CHARZ (NIL) -9 NIL 244829 NIL) (-147 243981 244021 244099 "CHARPOL" 244181 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 243025 243612 243640 "CHARNZ" 243687 T CHARNZ (NIL) -9 NIL 243743 NIL) (-145 240931 241679 242032 "CHAR" 242692 T CHAR (NIL) -8 NIL NIL NIL) (-144 240657 240718 240746 "CFCAT" 240857 T CFCAT (NIL) -9 NIL NIL NIL) (-143 239898 240009 240192 "CDEN" 240541 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 235863 239051 239331 "CCLASS" 239638 T CCLASS (NIL) -8 NIL NIL NIL) (-141 235114 235271 235448 "CATEGORY" 235706 T -10 (NIL) -8 NIL NIL NIL) (-140 234687 235033 235081 "CATCTOR" 235086 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 234138 234390 234488 "CATAST" 234609 T CATAST (NIL) -8 NIL NIL NIL) (-138 233614 233859 233951 "CASEAST" 234066 T CASEAST (NIL) -8 NIL NIL NIL) (-137 228752 229771 230515 "CARTEN" 232926 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 227860 228008 228229 "CARTEN2" 228599 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 226176 227010 227267 "CARD" 227623 T CARD (NIL) -8 NIL NIL NIL) (-134 225752 225980 226055 "CAPSLAST" 226121 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 225242 225450 225478 "CACHSET" 225610 T CACHSET (NIL) -9 NIL 225688 NIL) (-132 224698 225020 225048 "CABMON" 225098 T CABMON (NIL) -9 NIL 225154 NIL) (-131 224171 224402 224512 "BYTEORD" 224608 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 223148 223700 223842 "BYTE" 224005 T BYTE (NIL) -8 NIL NIL 224127) (-129 218501 222653 222825 "BYTEBUF" 222996 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 216013 218193 218300 "BTREE" 218427 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 213465 215661 215783 "BTOURN" 215923 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 210810 212907 212948 "BTCAT" 213016 NIL BTCAT (NIL T) -9 NIL 213093 NIL) (-125 210477 210557 210706 "BTCAT-" 210711 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 205842 209723 209751 "BTAGG" 209865 T BTAGG (NIL) -9 NIL 209975 NIL) (-123 205332 205457 205663 "BTAGG-" 205668 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 202330 204610 204825 "BSTREE" 205149 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 201468 201594 201778 "BRILL" 202186 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 198095 200166 200207 "BRAGG" 200856 NIL BRAGG (NIL T) -9 NIL 201114 NIL) (-119 196624 197030 197585 "BRAGG-" 197590 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 189540 195968 196153 "BPADICRT" 196471 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 187855 189477 189522 "BPADIC" 189527 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 187553 187583 187697 "BOUNDZRO" 187819 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 182781 183979 184891 "BOP" 186661 T BOP (NIL) -8 NIL NIL NIL) (-114 180562 180966 181441 "BOP1" 182339 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 180263 180324 180352 "BOOLE" 180463 T BOOLE (NIL) -9 NIL 180545 NIL) (-112 179088 179837 179986 "BOOLEAN" 180134 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 178353 178757 178811 "BMODULE" 178816 NIL BMODULE (NIL T T) -9 NIL 178881 NIL) (-110 174154 178151 178224 "BITS" 178300 T BITS (NIL) -8 NIL NIL NIL) (-109 173575 173694 173834 "BINDING" 174034 T BINDING (NIL) -8 NIL NIL NIL) (-108 167294 173170 173319 "BINARY" 173446 T BINARY (NIL) -8 NIL NIL NIL) (-107 165049 166521 166562 "BGAGG" 166822 NIL BGAGG (NIL T) -9 NIL 166959 NIL) (-106 164880 164912 165003 "BGAGG-" 165008 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 163951 164264 164469 "BFUNCT" 164695 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 162641 162819 163107 "BEZOUT" 163775 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 159113 161493 161823 "BBTREE" 162344 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 158714 158792 158820 "BASTYPE" 158997 T BASTYPE (NIL) -9 NIL 159096 NIL) (-101 158390 158471 158606 "BASTYPE-" 158611 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 157824 157900 158052 "BALFACT" 158301 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 156680 157239 157425 "AUTOMOR" 157669 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 156406 156411 156437 "ATTREG" 156442 T ATTREG (NIL) -9 NIL NIL NIL) (-97 154658 155103 155455 "ATTRBUT" 156072 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 154266 154486 154552 "ATTRAST" 154610 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 153802 153915 153941 "ATRIG" 154142 T ATRIG (NIL) -9 NIL NIL NIL) (-94 153611 153652 153739 "ATRIG-" 153744 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 153242 153428 153454 "ASTCAT" 153459 T ASTCAT (NIL) -9 NIL 153489 NIL) (-92 152969 153028 153147 "ASTCAT-" 153152 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 151121 152745 152833 "ASTACK" 152912 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 149626 149923 150288 "ASSOCEQ" 150803 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 148658 149285 149409 "ASP9" 149533 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 148421 148606 148645 "ASP8" 148650 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 147289 148026 148168 "ASP80" 148310 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 146187 146924 147056 "ASP7" 147188 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 145141 145864 145982 "ASP78" 146100 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 144110 144821 144938 "ASP77" 145055 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 143022 143748 143879 "ASP74" 144010 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 141922 142657 142789 "ASP73" 142921 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 141026 141748 141848 "ASP6" 141853 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139973 140703 140821 "ASP55" 140939 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 138922 139647 139766 "ASP50" 139885 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 138010 138623 138733 "ASP4" 138843 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 137098 137711 137821 "ASP49" 137931 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 135882 136637 136805 "ASP42" 136987 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 134659 135415 135585 "ASP41" 135769 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 133609 134336 134454 "ASP35" 134572 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 133374 133557 133596 "ASP34" 133601 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 133111 133178 133254 "ASP33" 133329 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 132005 132746 132878 "ASP31" 133010 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 131770 131953 131992 "ASP30" 131997 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 131505 131574 131650 "ASP29" 131725 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 131270 131453 131492 "ASP28" 131497 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 131035 131218 131257 "ASP27" 131262 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 130119 130733 130844 "ASP24" 130955 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 129196 129921 130033 "ASP20" 130038 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 128284 128897 129007 "ASP1" 129117 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 127227 127958 128077 "ASP19" 128196 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126964 127031 127107 "ASP12" 127182 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 125816 126563 126707 "ASP10" 126851 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 123670 125660 125751 "ARRAY2" 125756 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 119438 123318 123432 "ARRAY1" 123587 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 118470 118643 118864 "ARRAY12" 119261 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 112757 114672 114747 "ARR2CAT" 117377 NIL ARR2CAT (NIL T T T) -9 NIL 118135 NIL) (-56 110191 110935 111889 "ARR2CAT-" 111894 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 109508 109818 109943 "ARITY" 110084 T ARITY (NIL) -8 NIL NIL NIL) (-54 108284 108436 108735 "APPRULE" 109344 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107935 107983 108102 "APPLYORE" 108230 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 107289 107528 107648 "ANY" 107833 T ANY (NIL) -8 NIL NIL NIL) (-51 106567 106690 106847 "ANY1" 107163 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 104097 105004 105331 "ANTISYM" 106291 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 103589 103804 103900 "ANON" 104019 T ANON (NIL) -8 NIL NIL NIL) (-48 97589 102128 102582 "AN" 103153 T AN (NIL) -8 NIL NIL NIL) (-47 93473 94861 94912 "AMR" 95660 NIL AMR (NIL T T) -9 NIL 96260 NIL) (-46 92585 92806 93169 "AMR-" 93174 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 77030 92502 92563 "ALIST" 92568 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73835 76624 76793 "ALGSC" 76948 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 70391 70945 71552 "ALGPKG" 73275 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 69668 69769 69953 "ALGMFACT" 70277 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 65703 66282 66876 "ALGMANIP" 69252 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55914 65329 65479 "ALGFF" 65636 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 55110 55241 55420 "ALGFACT" 55772 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 54037 54637 54675 "ALGEBRA" 54680 NIL ALGEBRA (NIL T) -9 NIL 54721 NIL) (-37 53755 53814 53946 "ALGEBRA-" 53951 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35692 51592 51644 "ALAGG" 51780 NIL ALAGG (NIL T T) -9 NIL 51941 NIL) (-35 35228 35341 35367 "AHYP" 35568 T AHYP (NIL) -9 NIL NIL NIL) (-34 34159 34407 34433 "AGG" 34932 T AGG (NIL) -9 NIL 35211 NIL) (-33 33593 33755 33969 "AGG-" 33974 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 31399 31822 32227 "AF" 33235 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30879 31124 31214 "ADDAST" 31327 T ADDAST (NIL) -8 NIL NIL NIL) (-30 30147 30406 30562 "ACPLOT" 30741 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18770 27079 27117 "ACFS" 27724 NIL ACFS (NIL T) -9 NIL 27963 NIL) (-28 16797 17287 18049 "ACFS-" 18054 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12901 14830 14856 "ACF" 15735 T ACF (NIL) -9 NIL 16148 NIL) (-26 11605 11939 12432 "ACF-" 12437 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11163 11358 11384 "ABELSG" 11476 T ABELSG (NIL) -9 NIL 11541 NIL) (-24 11030 11055 11121 "ABELSG-" 11126 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10359 10646 10672 "ABELMON" 10842 T ABELMON (NIL) -9 NIL 10954 NIL) (-22 10023 10107 10245 "ABELMON-" 10250 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9357 9729 9755 "ABELGRP" 9827 T ABELGRP (NIL) -9 NIL 9902 NIL) (-20 8820 8949 9165 "ABELGRP-" 9170 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8082 8121 "A1AGG" 8126 NIL A1AGG (NIL T) -9 NIL 8166 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3262806 3262811 3262816 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3262791 3262796 3262801 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3262776 3262781 3262786 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3262761 3262766 3262771 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1317 3261904 3262636 3262713 "ZMOD" 3262718 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1316 3260958 3261122 3261345 "ZLINDEP" 3261736 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1315 3250258 3252026 3253998 "ZDSOLVE" 3259088 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1314 3249504 3249645 3249834 "YSTREAM" 3250104 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1313 3248932 3249178 3249291 "YDIAGRAM" 3249413 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1312 3246706 3248233 3248437 "XRPOLY" 3248775 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1311 3243259 3244577 3245152 "XPR" 3246178 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1310 3240980 3242590 3242794 "XPOLY" 3243090 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1309 3238619 3239987 3240042 "XPOLYC" 3240330 NIL XPOLYC (NIL T T) -9 NIL 3240443 NIL) (-1308 3234995 3237136 3237524 "XPBWPOLY" 3238277 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1307 3230676 3232971 3233013 "XF" 3233634 NIL XF (NIL T) -9 NIL 3234034 NIL) (-1306 3230297 3230385 3230554 "XF-" 3230559 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1305 3225479 3226768 3226823 "XFALG" 3228995 NIL XFALG (NIL T T) -9 NIL 3229784 NIL) (-1304 3224612 3224716 3224921 "XEXPPKG" 3225371 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1303 3222721 3224462 3224558 "XDPOLY" 3224563 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1302 3221514 3222114 3222157 "XALG" 3222162 NIL XALG (NIL T) -9 NIL 3222273 NIL) (-1301 3214956 3219491 3219985 "WUTSET" 3221106 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1300 3213212 3214008 3214331 "WP" 3214767 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1299 3212814 3213034 3213104 "WHILEAST" 3213164 T WHILEAST (NIL) -8 NIL NIL NIL) (-1298 3212286 3212531 3212625 "WHEREAST" 3212742 T WHEREAST (NIL) -8 NIL NIL NIL) (-1297 3211172 3211370 3211665 "WFFINTBS" 3212083 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1296 3209076 3209503 3209965 "WEIER" 3210744 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1295 3208108 3208558 3208600 "VSPACE" 3208736 NIL VSPACE (NIL T) -9 NIL 3208810 NIL) (-1294 3207946 3207973 3208064 "VSPACE-" 3208069 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1293 3207755 3207797 3207865 "VOID" 3207900 T VOID (NIL) -8 NIL NIL NIL) (-1292 3205891 3206250 3206656 "VIEW" 3207371 T VIEW (NIL) -7 NIL NIL NIL) (-1291 3202315 3202954 3203691 "VIEWDEF" 3205176 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1290 3191619 3193863 3196036 "VIEW3D" 3200164 T VIEW3D (NIL) -8 NIL NIL NIL) (-1289 3183870 3185530 3187109 "VIEW2D" 3190062 T VIEW2D (NIL) -8 NIL NIL NIL) (-1288 3179226 3183640 3183732 "VECTOR" 3183813 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1287 3177803 3178062 3178380 "VECTOR2" 3178956 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1286 3171201 3175507 3175550 "VECTCAT" 3176545 NIL VECTCAT (NIL T) -9 NIL 3177132 NIL) (-1285 3170215 3170469 3170859 "VECTCAT-" 3170864 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1284 3169669 3169866 3169986 "VARIABLE" 3170130 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1283 3169602 3169607 3169637 "UTYPE" 3169642 T UTYPE (NIL) -9 NIL NIL NIL) (-1282 3168432 3168586 3168848 "UTSODETL" 3169428 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1281 3165872 3166332 3166856 "UTSODE" 3167973 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1280 3157820 3163633 3164113 "UTS" 3165450 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1279 3148384 3153754 3153797 "UTSCAT" 3154909 NIL UTSCAT (NIL T) -9 NIL 3155667 NIL) (-1278 3145732 3146454 3147443 "UTSCAT-" 3147448 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1277 3145359 3145402 3145535 "UTS2" 3145683 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1276 3139560 3142169 3142212 "URAGG" 3144282 NIL URAGG (NIL T) -9 NIL 3145005 NIL) (-1275 3136499 3137362 3138485 "URAGG-" 3138490 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1274 3132208 3135134 3135599 "UPXSSING" 3136163 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1273 3124384 3131590 3131854 "UPXS" 3132002 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1272 3117457 3124288 3124360 "UPXSCONS" 3124365 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1271 3106864 3113660 3113722 "UPXSCCA" 3114296 NIL UPXSCCA (NIL T T) -9 NIL 3114529 NIL) (-1270 3106502 3106587 3106761 "UPXSCCA-" 3106766 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1269 3095761 3102330 3102373 "UPXSCAT" 3103021 NIL UPXSCAT (NIL T) -9 NIL 3103630 NIL) (-1268 3095191 3095270 3095449 "UPXS2" 3095676 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1267 3093845 3094098 3094449 "UPSQFREE" 3094934 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1266 3087053 3090113 3090168 "UPSCAT" 3091248 NIL UPSCAT (NIL T T) -9 NIL 3092013 NIL) (-1265 3086257 3086464 3086791 "UPSCAT-" 3086796 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1264 3071339 3079384 3079427 "UPOLYC" 3081528 NIL UPOLYC (NIL T) -9 NIL 3082749 NIL) (-1263 3062667 3065093 3068240 "UPOLYC-" 3068245 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1262 3062294 3062337 3062470 "UPOLYC2" 3062618 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1261 3053829 3061977 3062106 "UP" 3062213 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1260 3053168 3053275 3053439 "UPMP" 3053718 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1259 3052721 3052802 3052941 "UPDIVP" 3053081 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1258 3051289 3051538 3051854 "UPDECOMP" 3052470 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1257 3050520 3050632 3050818 "UPCDEN" 3051173 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1256 3050039 3050108 3050257 "UP2" 3050445 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1255 3048506 3049243 3049520 "UNISEG" 3049797 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1254 3047721 3047848 3048053 "UNISEG2" 3048349 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1253 3046781 3046961 3047187 "UNIFACT" 3047537 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1252 3029533 3046093 3046335 "ULS" 3046597 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1251 3017163 3029437 3029509 "ULSCONS" 3029514 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1250 2997884 3010244 3010306 "ULSCCAT" 3010944 NIL ULSCCAT (NIL T T) -9 NIL 3011233 NIL) (-1249 2996934 2997179 2997567 "ULSCCAT-" 2997572 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1248 2985998 2992481 2992524 "ULSCAT" 2993387 NIL ULSCAT (NIL T) -9 NIL 2994118 NIL) (-1247 2985428 2985507 2985686 "ULS2" 2985913 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1246 2984547 2985057 2985164 "UINT8" 2985275 T UINT8 (NIL) -8 NIL NIL 2985360) (-1245 2983665 2984175 2984282 "UINT64" 2984393 T UINT64 (NIL) -8 NIL NIL 2984478) (-1244 2982783 2983293 2983400 "UINT32" 2983511 T UINT32 (NIL) -8 NIL NIL 2983596) (-1243 2981901 2982411 2982518 "UINT16" 2982629 T UINT16 (NIL) -8 NIL NIL 2982714) (-1242 2980190 2981147 2981177 "UFD" 2981389 T UFD (NIL) -9 NIL 2981503 NIL) (-1241 2979984 2980030 2980125 "UFD-" 2980130 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1240 2979066 2979249 2979465 "UDVO" 2979790 T UDVO (NIL) -7 NIL NIL NIL) (-1239 2976882 2977291 2977762 "UDPO" 2978630 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1238 2976815 2976820 2976850 "TYPE" 2976855 T TYPE (NIL) -9 NIL NIL NIL) (-1237 2976575 2976770 2976801 "TYPEAST" 2976806 T TYPEAST (NIL) -8 NIL NIL NIL) (-1236 2975546 2975748 2975988 "TWOFACT" 2976369 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1235 2974569 2974955 2975190 "TUPLE" 2975346 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1234 2972260 2972779 2973318 "TUBETOOL" 2974052 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1233 2971109 2971314 2971555 "TUBE" 2972053 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1232 2965838 2970081 2970364 "TS" 2970861 NIL TS (NIL T) -8 NIL NIL NIL) (-1231 2954478 2958597 2958694 "TSETCAT" 2963963 NIL TSETCAT (NIL T T T T) -9 NIL 2965494 NIL) (-1230 2949210 2950810 2952701 "TSETCAT-" 2952706 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1229 2943849 2944696 2945625 "TRMANIP" 2948346 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1228 2943290 2943353 2943516 "TRIMAT" 2943781 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1227 2941156 2941393 2941750 "TRIGMNIP" 2943039 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1226 2940676 2940789 2940819 "TRIGCAT" 2941032 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1225 2940345 2940424 2940565 "TRIGCAT-" 2940570 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1224 2937193 2939203 2939484 "TREE" 2940099 NIL TREE (NIL T) -8 NIL NIL NIL) (-1223 2936467 2936995 2937025 "TRANFUN" 2937060 T TRANFUN (NIL) -9 NIL 2937126 NIL) (-1222 2935746 2935937 2936217 "TRANFUN-" 2936222 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1221 2935550 2935582 2935643 "TOPSP" 2935707 T TOPSP (NIL) -7 NIL NIL NIL) (-1220 2934898 2935013 2935167 "TOOLSIGN" 2935431 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1219 2933532 2934075 2934314 "TEXTFILE" 2934681 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1218 2931444 2931985 2932414 "TEX" 2933125 T TEX (NIL) -8 NIL NIL NIL) (-1217 2931225 2931256 2931328 "TEX1" 2931407 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1216 2930873 2930936 2931026 "TEMUTL" 2931157 T TEMUTL (NIL) -7 NIL NIL NIL) (-1215 2929027 2929307 2929632 "TBCMPPK" 2930596 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1214 2920736 2927113 2927169 "TBAGG" 2927569 NIL TBAGG (NIL T T) -9 NIL 2927780 NIL) (-1213 2915806 2917294 2919048 "TBAGG-" 2919053 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1212 2915190 2915297 2915442 "TANEXP" 2915695 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1211 2914701 2914965 2915055 "TALGOP" 2915135 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1210 2908097 2914558 2914651 "TABLE" 2914656 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1209 2907509 2907608 2907746 "TABLEAU" 2907994 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1208 2902117 2903337 2904585 "TABLBUMP" 2906295 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1207 2901339 2901486 2901667 "SYSTEM" 2901958 T SYSTEM (NIL) -8 NIL NIL NIL) (-1206 2897798 2898497 2899280 "SYSSOLP" 2900590 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1205 2897596 2897753 2897784 "SYSPTR" 2897789 T SYSPTR (NIL) -8 NIL NIL NIL) (-1204 2896632 2897137 2897256 "SYSNNI" 2897442 NIL SYSNNI (NIL NIL) -8 NIL NIL 2897527) (-1203 2895931 2896390 2896469 "SYSINT" 2896529 NIL SYSINT (NIL NIL) -8 NIL NIL 2896574) (-1202 2892263 2893209 2893919 "SYNTAX" 2895243 T SYNTAX (NIL) -8 NIL NIL NIL) (-1201 2889421 2890023 2890655 "SYMTAB" 2891653 T SYMTAB (NIL) -8 NIL NIL NIL) (-1200 2884670 2885572 2886555 "SYMS" 2888460 T SYMS (NIL) -8 NIL NIL NIL) (-1199 2881905 2884128 2884358 "SYMPOLY" 2884475 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1198 2881422 2881497 2881620 "SYMFUNC" 2881817 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1197 2877442 2878734 2879547 "SYMBOL" 2880631 T SYMBOL (NIL) -8 NIL NIL NIL) (-1196 2870981 2872670 2874390 "SWITCH" 2875744 T SWITCH (NIL) -8 NIL NIL NIL) (-1195 2864325 2869937 2870231 "SUTS" 2870745 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1194 2856501 2863707 2863971 "SUPXS" 2864119 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1193 2847984 2856119 2856245 "SUP" 2856410 NIL SUP (NIL T) -8 NIL NIL NIL) (-1192 2847143 2847270 2847487 "SUPFRACF" 2847852 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1191 2846764 2846823 2846936 "SUP2" 2847078 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1190 2845212 2845486 2845842 "SUMRF" 2846463 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1189 2844547 2844613 2844805 "SUMFS" 2845133 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1188 2827334 2843859 2844101 "SULS" 2844363 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1187 2826936 2827156 2827226 "SUCHTAST" 2827286 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1186 2826231 2826461 2826601 "SUCH" 2826844 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1185 2820098 2821137 2822096 "SUBSPACE" 2825319 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1184 2819528 2819618 2819782 "SUBRESP" 2819986 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1183 2812896 2814193 2815504 "STTF" 2818264 NIL STTF (NIL T) -7 NIL NIL NIL) (-1182 2807069 2808189 2809336 "STTFNC" 2811796 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1181 2798382 2800251 2802045 "STTAYLOR" 2805310 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1180 2791518 2798246 2798329 "STRTBL" 2798334 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1179 2786479 2791227 2791326 "STRING" 2791441 T STRING (NIL) -8 NIL NIL NIL) (-1178 2779235 2784098 2784709 "STREAM" 2785903 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1177 2778745 2778822 2778966 "STREAM3" 2779152 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1176 2777727 2777910 2778145 "STREAM2" 2778558 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1175 2777415 2777467 2777560 "STREAM1" 2777669 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1174 2776431 2776612 2776843 "STINPROD" 2777231 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1173 2775969 2776179 2776209 "STEP" 2776289 T STEP (NIL) -9 NIL 2776367 NIL) (-1172 2775156 2775458 2775606 "STEPAST" 2775843 T STEPAST (NIL) -8 NIL NIL NIL) (-1171 2768594 2775055 2775132 "STBL" 2775137 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1170 2763664 2767757 2767800 "STAGG" 2767953 NIL STAGG (NIL T) -9 NIL 2768042 NIL) (-1169 2761366 2761968 2762840 "STAGG-" 2762845 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1168 2759516 2761136 2761228 "STACK" 2761309 NIL STACK (NIL T) -8 NIL NIL NIL) (-1167 2752211 2757657 2758113 "SREGSET" 2759146 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1166 2744636 2746005 2747518 "SRDCMPK" 2750817 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1165 2737473 2741995 2742025 "SRAGG" 2743328 T SRAGG (NIL) -9 NIL 2743936 NIL) (-1164 2736490 2736745 2737124 "SRAGG-" 2737129 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1163 2730674 2735437 2735858 "SQMATRIX" 2736116 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1162 2724362 2727392 2728119 "SPLTREE" 2730019 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1161 2720325 2721018 2721664 "SPLNODE" 2723788 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1160 2719372 2719605 2719635 "SPFCAT" 2720079 T SPFCAT (NIL) -9 NIL NIL NIL) (-1159 2718109 2718319 2718583 "SPECOUT" 2719130 T SPECOUT (NIL) -7 NIL NIL NIL) (-1158 2709205 2711077 2711107 "SPADXPT" 2715783 T SPADXPT (NIL) -9 NIL 2717947 NIL) (-1157 2708966 2709006 2709075 "SPADPRSR" 2709158 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1156 2707015 2708921 2708952 "SPADAST" 2708957 T SPADAST (NIL) -8 NIL NIL NIL) (-1155 2698946 2700719 2700762 "SPACEC" 2705135 NIL SPACEC (NIL T) -9 NIL 2706951 NIL) (-1154 2697076 2698878 2698927 "SPACE3" 2698932 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1153 2695828 2695999 2696290 "SORTPAK" 2696881 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1152 2693920 2694223 2694635 "SOLVETRA" 2695492 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1151 2692970 2693192 2693453 "SOLVESER" 2693693 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1150 2688274 2689162 2690157 "SOLVERAD" 2692022 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1149 2684089 2684698 2685427 "SOLVEFOR" 2687641 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1148 2678359 2683438 2683535 "SNTSCAT" 2683540 NIL SNTSCAT (NIL T T T T) -9 NIL 2683610 NIL) (-1147 2672465 2676682 2677073 "SMTS" 2678049 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1146 2666874 2672353 2672430 "SMP" 2672435 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1145 2665033 2665334 2665732 "SMITH" 2666571 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1144 2657137 2661612 2661715 "SMATCAT" 2663066 NIL SMATCAT (NIL NIL T T T) -9 NIL 2663616 NIL) (-1143 2654077 2654900 2656078 "SMATCAT-" 2656083 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1142 2651718 2653285 2653328 "SKAGG" 2653589 NIL SKAGG (NIL T) -9 NIL 2653724 NIL) (-1141 2647908 2651191 2651375 "SINT" 2651527 T SINT (NIL) -8 NIL NIL 2651689) (-1140 2647680 2647718 2647784 "SIMPAN" 2647864 T SIMPAN (NIL) -7 NIL NIL NIL) (-1139 2646959 2647215 2647355 "SIG" 2647562 T SIG (NIL) -8 NIL NIL NIL) (-1138 2645797 2646018 2646293 "SIGNRF" 2646718 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1137 2644630 2644781 2645065 "SIGNEF" 2645626 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1136 2643936 2644213 2644337 "SIGAST" 2644528 T SIGAST (NIL) -8 NIL NIL NIL) (-1135 2641626 2642080 2642586 "SHP" 2643477 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1134 2635455 2641527 2641603 "SHDP" 2641608 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1133 2635014 2635206 2635236 "SGROUP" 2635329 T SGROUP (NIL) -9 NIL 2635391 NIL) (-1132 2634872 2634898 2634971 "SGROUP-" 2634976 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1131 2631663 2632361 2633084 "SGCF" 2634171 T SGCF (NIL) -7 NIL NIL NIL) (-1130 2626031 2631110 2631207 "SFRTCAT" 2631212 NIL SFRTCAT (NIL T T T T) -9 NIL 2631251 NIL) (-1129 2619452 2620470 2621606 "SFRGCD" 2625014 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1128 2612578 2613651 2614837 "SFQCMPK" 2618385 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1127 2612198 2612287 2612398 "SFORT" 2612519 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1126 2611316 2612038 2612159 "SEXOF" 2612164 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1125 2610423 2611197 2611265 "SEX" 2611270 T SEX (NIL) -8 NIL NIL NIL) (-1124 2606204 2606919 2607014 "SEXCAT" 2609636 NIL SEXCAT (NIL T T T T T) -9 NIL 2610196 NIL) (-1123 2603357 2606138 2606186 "SET" 2606191 NIL SET (NIL T) -8 NIL NIL NIL) (-1122 2601581 2602070 2602375 "SETMN" 2603098 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1121 2601147 2601299 2601329 "SETCAT" 2601446 T SETCAT (NIL) -9 NIL 2601531 NIL) (-1120 2600927 2600979 2601078 "SETCAT-" 2601083 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1119 2597288 2599388 2599431 "SETAGG" 2600301 NIL SETAGG (NIL T) -9 NIL 2600641 NIL) (-1118 2596746 2596862 2597099 "SETAGG-" 2597104 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1117 2596189 2596442 2596543 "SEQAST" 2596667 T SEQAST (NIL) -8 NIL NIL NIL) (-1116 2595388 2595682 2595743 "SEGXCAT" 2596029 NIL SEGXCAT (NIL T T) -9 NIL 2596149 NIL) (-1115 2594394 2595054 2595236 "SEG" 2595241 NIL SEG (NIL T) -8 NIL NIL NIL) (-1114 2593373 2593587 2593630 "SEGCAT" 2594152 NIL SEGCAT (NIL T) -9 NIL 2594373 NIL) (-1113 2592305 2592736 2592944 "SEGBIND" 2593200 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1112 2591926 2591985 2592098 "SEGBIND2" 2592240 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1111 2591499 2591727 2591804 "SEGAST" 2591871 T SEGAST (NIL) -8 NIL NIL NIL) (-1110 2590718 2590844 2591048 "SEG2" 2591343 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1109 2590089 2590653 2590700 "SDVAR" 2590705 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1108 2582340 2589859 2589989 "SDPOL" 2589994 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1107 2580933 2581199 2581518 "SCPKG" 2582055 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1106 2580097 2580269 2580461 "SCOPE" 2580763 T SCOPE (NIL) -8 NIL NIL NIL) (-1105 2579317 2579451 2579630 "SCACHE" 2579952 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1104 2578949 2579135 2579165 "SASTCAT" 2579170 T SASTCAT (NIL) -9 NIL 2579183 NIL) (-1103 2578436 2578784 2578860 "SAOS" 2578895 T SAOS (NIL) -8 NIL NIL NIL) (-1102 2578001 2578036 2578209 "SAERFFC" 2578395 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1101 2571664 2577898 2577978 "SAE" 2577983 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1100 2571257 2571292 2571451 "SAEFACT" 2571623 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1099 2569578 2569892 2570293 "RURPK" 2570923 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1098 2568215 2568521 2568826 "RULESET" 2569412 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1097 2565438 2565968 2566426 "RULE" 2567896 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1096 2565050 2565232 2565315 "RULECOLD" 2565390 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1095 2564840 2564868 2564939 "RTVALUE" 2565001 T RTVALUE (NIL) -8 NIL NIL NIL) (-1094 2564311 2564557 2564651 "RSTRCAST" 2564768 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1093 2559159 2559954 2560874 "RSETGCD" 2563510 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1092 2548389 2553468 2553565 "RSETCAT" 2557684 NIL RSETCAT (NIL T T T T) -9 NIL 2558781 NIL) (-1091 2546316 2546855 2547679 "RSETCAT-" 2547684 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1090 2538702 2540078 2541598 "RSDCMPK" 2544915 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1089 2536667 2537134 2537208 "RRCC" 2538294 NIL RRCC (NIL T T) -9 NIL 2538638 NIL) (-1088 2536018 2536192 2536471 "RRCC-" 2536476 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1087 2535461 2535714 2535815 "RPTAST" 2535939 T RPTAST (NIL) -8 NIL NIL NIL) (-1086 2508937 2518573 2518640 "RPOLCAT" 2529306 NIL RPOLCAT (NIL T T T) -9 NIL 2532466 NIL) (-1085 2500435 2502775 2505897 "RPOLCAT-" 2505902 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1084 2491372 2498646 2499128 "ROUTINE" 2499975 T ROUTINE (NIL) -8 NIL NIL NIL) (-1083 2488033 2490998 2491138 "ROMAN" 2491254 T ROMAN (NIL) -8 NIL NIL NIL) (-1082 2486277 2486893 2487153 "ROIRC" 2487838 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1081 2482481 2484766 2484796 "RNS" 2485100 T RNS (NIL) -9 NIL 2485374 NIL) (-1080 2480990 2481373 2481907 "RNS-" 2481982 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1079 2480379 2480787 2480817 "RNG" 2480822 T RNG (NIL) -9 NIL 2480843 NIL) (-1078 2479382 2479744 2479946 "RNGBIND" 2480230 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1077 2478767 2479155 2479198 "RMODULE" 2479203 NIL RMODULE (NIL T) -9 NIL 2479230 NIL) (-1076 2477603 2477697 2478033 "RMCAT2" 2478668 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1075 2474453 2476949 2477246 "RMATRIX" 2477365 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1074 2467280 2469540 2469655 "RMATCAT" 2473014 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2473996 NIL) (-1073 2466655 2466802 2467109 "RMATCAT-" 2467114 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1072 2466270 2466442 2466485 "RLINSET" 2466547 NIL RLINSET (NIL T) -9 NIL 2466591 NIL) (-1071 2465837 2465912 2466040 "RINTERP" 2466189 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1070 2464881 2465435 2465465 "RING" 2465521 T RING (NIL) -9 NIL 2465613 NIL) (-1069 2464673 2464717 2464814 "RING-" 2464819 NIL RING- (NIL T) -8 NIL NIL NIL) (-1068 2463514 2463751 2464009 "RIDIST" 2464437 T RIDIST (NIL) -7 NIL NIL NIL) (-1067 2454803 2462982 2463188 "RGCHAIN" 2463362 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1066 2454139 2454545 2454586 "RGBCSPC" 2454644 NIL RGBCSPC (NIL T) -9 NIL 2454696 NIL) (-1065 2453283 2453664 2453705 "RGBCMDL" 2453937 NIL RGBCMDL (NIL T) -9 NIL 2454051 NIL) (-1064 2450277 2450891 2451561 "RF" 2452647 NIL RF (NIL T) -7 NIL NIL NIL) (-1063 2449923 2449986 2450089 "RFFACTOR" 2450208 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1062 2449648 2449683 2449780 "RFFACT" 2449882 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1061 2447765 2448129 2448511 "RFDIST" 2449288 T RFDIST (NIL) -7 NIL NIL NIL) (-1060 2447218 2447310 2447473 "RETSOL" 2447667 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1059 2446854 2446934 2446977 "RETRACT" 2447110 NIL RETRACT (NIL T) -9 NIL 2447197 NIL) (-1058 2446703 2446728 2446815 "RETRACT-" 2446820 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1057 2446305 2446525 2446595 "RETAST" 2446655 T RETAST (NIL) -8 NIL NIL NIL) (-1056 2439049 2445958 2446085 "RESULT" 2446200 T RESULT (NIL) -8 NIL NIL NIL) (-1055 2437640 2438318 2438517 "RESRING" 2438952 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1054 2437276 2437325 2437423 "RESLATC" 2437577 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1053 2436981 2437016 2437123 "REPSQ" 2437235 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1052 2434403 2434983 2435585 "REP" 2436401 T REP (NIL) -7 NIL NIL NIL) (-1051 2434100 2434135 2434246 "REPDB" 2434362 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1050 2428000 2429389 2430612 "REP2" 2432912 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1049 2424377 2425058 2425866 "REP1" 2427227 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1048 2417073 2422518 2422974 "REGSET" 2424007 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1047 2415838 2416221 2416471 "REF" 2416858 NIL REF (NIL T) -8 NIL NIL NIL) (-1046 2415215 2415318 2415485 "REDORDER" 2415722 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1045 2411183 2414428 2414655 "RECLOS" 2415043 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1044 2410235 2410416 2410631 "REALSOLV" 2410990 T REALSOLV (NIL) -7 NIL NIL NIL) (-1043 2410081 2410122 2410152 "REAL" 2410157 T REAL (NIL) -9 NIL 2410192 NIL) (-1042 2406564 2407366 2408250 "REAL0Q" 2409246 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1041 2402165 2403153 2404214 "REAL0" 2405545 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1040 2401636 2401882 2401976 "RDUCEAST" 2402093 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1039 2401041 2401113 2401320 "RDIV" 2401558 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1038 2400109 2400283 2400496 "RDIST" 2400863 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1037 2398706 2398993 2399365 "RDETRS" 2399817 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1036 2396518 2396972 2397510 "RDETR" 2398248 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1035 2395143 2395421 2395818 "RDEEFS" 2396234 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1034 2393652 2393958 2394383 "RDEEF" 2394831 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1033 2387685 2390606 2390636 "RCFIELD" 2391931 T RCFIELD (NIL) -9 NIL 2392662 NIL) (-1032 2385749 2386253 2386949 "RCFIELD-" 2387024 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1031 2381993 2383822 2383865 "RCAGG" 2384949 NIL RCAGG (NIL T) -9 NIL 2385414 NIL) (-1030 2381621 2381715 2381878 "RCAGG-" 2381883 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1029 2380956 2381068 2381233 "RATRET" 2381505 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1028 2380509 2380576 2380697 "RATFACT" 2380884 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1027 2379817 2379937 2380089 "RANDSRC" 2380379 T RANDSRC (NIL) -7 NIL NIL NIL) (-1026 2379551 2379595 2379668 "RADUTIL" 2379766 T RADUTIL (NIL) -7 NIL NIL NIL) (-1025 2372379 2378382 2378693 "RADIX" 2379274 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1024 2362839 2372221 2372351 "RADFF" 2372356 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1023 2362486 2362561 2362591 "RADCAT" 2362751 T RADCAT (NIL) -9 NIL NIL NIL) (-1022 2362268 2362316 2362416 "RADCAT-" 2362421 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1021 2360369 2362038 2362130 "QUEUE" 2362211 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1020 2356630 2360302 2360350 "QUAT" 2360355 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1019 2356261 2356304 2356435 "QUATCT2" 2356581 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1018 2349059 2352684 2352726 "QUATCAT" 2353517 NIL QUATCAT (NIL T) -9 NIL 2354283 NIL) (-1017 2345198 2346235 2347625 "QUATCAT-" 2347721 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1016 2342638 2344246 2344289 "QUAGG" 2344670 NIL QUAGG (NIL T) -9 NIL 2344845 NIL) (-1015 2342240 2342460 2342530 "QQUTAST" 2342590 T QQUTAST (NIL) -8 NIL NIL NIL) (-1014 2341253 2341753 2341918 "QFORM" 2342121 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1013 2331585 2337100 2337142 "QFCAT" 2337810 NIL QFCAT (NIL T) -9 NIL 2338811 NIL) (-1012 2327152 2328353 2329947 "QFCAT-" 2330043 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1011 2326783 2326826 2326957 "QFCAT2" 2327103 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1010 2326238 2326348 2326480 "QEQUAT" 2326673 T QEQUAT (NIL) -8 NIL NIL NIL) (-1009 2319364 2320437 2321623 "QCMPACK" 2325171 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1008 2316902 2317350 2317780 "QALGSET" 2319019 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1007 2316137 2316313 2316549 "QALGSET2" 2316720 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1006 2314822 2315046 2315365 "PWFFINTB" 2315910 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1005 2312997 2313165 2313521 "PUSHVAR" 2314636 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1004 2308886 2309940 2309983 "PTRANFN" 2311894 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1003 2307277 2307568 2307892 "PTPACK" 2308597 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1002 2306906 2306963 2307074 "PTFUNC2" 2307214 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1001 2301301 2305695 2305738 "PTCAT" 2306038 NIL PTCAT (NIL T) -9 NIL 2306191 NIL) (-1000 2300956 2300991 2301117 "PSQFR" 2301260 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-999 2299551 2299849 2300183 "PSEUDLIN" 2300654 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-998 2286314 2288685 2291009 "PSETPK" 2297311 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-997 2279332 2282072 2282168 "PSETCAT" 2285189 NIL PSETCAT (NIL T T T T) -9 NIL 2286003 NIL) (-996 2277168 2277802 2278623 "PSETCAT-" 2278628 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-995 2276517 2276682 2276710 "PSCURVE" 2276978 T PSCURVE (NIL) -9 NIL 2277145 NIL) (-994 2272501 2274017 2274082 "PSCAT" 2274926 NIL PSCAT (NIL T T T) -9 NIL 2275166 NIL) (-993 2271564 2271780 2272180 "PSCAT-" 2272185 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-992 2269923 2270633 2270896 "PRTITION" 2271321 T PRTITION (NIL) -8 NIL NIL NIL) (-991 2269398 2269644 2269736 "PRTDAST" 2269851 T PRTDAST (NIL) -8 NIL NIL NIL) (-990 2258488 2260702 2262890 "PRS" 2267260 NIL PRS (NIL T T) -7 NIL NIL NIL) (-989 2256274 2257810 2257850 "PRQAGG" 2258033 NIL PRQAGG (NIL T) -9 NIL 2258135 NIL) (-988 2255610 2255915 2255943 "PROPLOG" 2256082 T PROPLOG (NIL) -9 NIL 2256197 NIL) (-987 2255214 2255271 2255394 "PROPFUN2" 2255533 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-986 2254529 2254650 2254822 "PROPFUN1" 2255075 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-985 2252710 2253276 2253573 "PROPFRML" 2254265 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-984 2252179 2252286 2252414 "PROPERTY" 2252602 T PROPERTY (NIL) -8 NIL NIL NIL) (-983 2246237 2250345 2251165 "PRODUCT" 2251405 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-982 2243515 2245695 2245929 "PR" 2246048 NIL PR (NIL T T) -8 NIL NIL NIL) (-981 2243311 2243343 2243402 "PRINT" 2243476 T PRINT (NIL) -7 NIL NIL NIL) (-980 2242651 2242768 2242920 "PRIMES" 2243191 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-979 2240716 2241117 2241583 "PRIMELT" 2242230 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-978 2240445 2240494 2240522 "PRIMCAT" 2240646 T PRIMCAT (NIL) -9 NIL NIL NIL) (-977 2236563 2240383 2240428 "PRIMARR" 2240433 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-976 2235570 2235748 2235976 "PRIMARR2" 2236381 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-975 2235213 2235269 2235380 "PREASSOC" 2235508 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-974 2234688 2234821 2234849 "PPCURVE" 2235054 T PPCURVE (NIL) -9 NIL 2235190 NIL) (-973 2234283 2234483 2234566 "PORTNUM" 2234625 T PORTNUM (NIL) -8 NIL NIL NIL) (-972 2231642 2232041 2232633 "POLYROOT" 2233864 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-971 2225548 2231246 2231406 "POLY" 2231515 NIL POLY (NIL T) -8 NIL NIL NIL) (-970 2224931 2224989 2225223 "POLYLIFT" 2225484 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-969 2221206 2221655 2222284 "POLYCATQ" 2224476 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-968 2207548 2212953 2213018 "POLYCAT" 2216532 NIL POLYCAT (NIL T T T) -9 NIL 2218410 NIL) (-967 2200997 2202859 2205243 "POLYCAT-" 2205248 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-966 2200584 2200652 2200772 "POLY2UP" 2200923 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-965 2200216 2200273 2200382 "POLY2" 2200521 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-964 2198901 2199140 2199416 "POLUTIL" 2199990 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-963 2197256 2197533 2197864 "POLTOPOL" 2198623 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-962 2192722 2197190 2197237 "POINT" 2197242 NIL POINT (NIL T) -8 NIL NIL NIL) (-961 2190909 2191266 2191641 "PNTHEORY" 2192367 T PNTHEORY (NIL) -7 NIL NIL NIL) (-960 2189367 2189664 2190063 "PMTOOLS" 2190607 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-959 2188960 2189038 2189155 "PMSYM" 2189283 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-958 2188468 2188537 2188712 "PMQFCAT" 2188885 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-957 2187823 2187933 2188089 "PMPRED" 2188345 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-956 2187216 2187302 2187464 "PMPREDFS" 2187724 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-955 2185880 2186088 2186466 "PMPLCAT" 2186978 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-954 2185412 2185491 2185643 "PMLSAGG" 2185795 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-953 2184885 2184961 2185143 "PMKERNEL" 2185330 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-952 2184502 2184577 2184690 "PMINS" 2184804 NIL PMINS (NIL T) -7 NIL NIL NIL) (-951 2183944 2184013 2184222 "PMFS" 2184427 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-950 2183172 2183290 2183495 "PMDOWN" 2183821 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-949 2182339 2182497 2182678 "PMASS" 2183011 T PMASS (NIL) -7 NIL NIL NIL) (-948 2181612 2181722 2181885 "PMASSFS" 2182226 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-947 2181267 2181335 2181429 "PLOTTOOL" 2181538 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-946 2175874 2177078 2178226 "PLOT" 2180139 T PLOT (NIL) -8 NIL NIL NIL) (-945 2171678 2172722 2173643 "PLOT3D" 2174973 T PLOT3D (NIL) -8 NIL NIL NIL) (-944 2170590 2170767 2171002 "PLOT1" 2171482 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-943 2145981 2150656 2155507 "PLEQN" 2165856 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-942 2145299 2145421 2145601 "PINTERP" 2145846 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-941 2144992 2145039 2145142 "PINTERPA" 2145246 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-940 2144208 2144756 2144843 "PI" 2144883 T PI (NIL) -8 NIL NIL 2144950) (-939 2142491 2143466 2143494 "PID" 2143676 T PID (NIL) -9 NIL 2143810 NIL) (-938 2142242 2142279 2142354 "PICOERCE" 2142448 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-937 2141562 2141701 2141877 "PGROEB" 2142098 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-936 2137149 2137963 2138868 "PGE" 2140677 T PGE (NIL) -7 NIL NIL NIL) (-935 2135272 2135519 2135885 "PGCD" 2136866 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-934 2134610 2134713 2134874 "PFRPAC" 2135156 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-933 2131250 2133158 2133511 "PFR" 2134289 NIL PFR (NIL T) -8 NIL NIL NIL) (-932 2129639 2129883 2130208 "PFOTOOLS" 2130997 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-931 2128172 2128411 2128762 "PFOQ" 2129396 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-930 2126673 2126885 2127241 "PFO" 2127956 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-929 2123226 2126562 2126631 "PF" 2126636 NIL PF (NIL NIL) -8 NIL NIL NIL) (-928 2120546 2121817 2121845 "PFECAT" 2122430 T PFECAT (NIL) -9 NIL 2122814 NIL) (-927 2119991 2120145 2120359 "PFECAT-" 2120364 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-926 2118594 2118846 2119147 "PFBRU" 2119740 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-925 2116460 2116812 2117244 "PFBR" 2118245 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-924 2112506 2113972 2114619 "PERM" 2115846 NIL PERM (NIL T) -8 NIL NIL NIL) (-923 2107740 2108713 2109583 "PERMGRP" 2111669 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-922 2105804 2106764 2106805 "PERMCAT" 2107205 NIL PERMCAT (NIL T) -9 NIL 2107503 NIL) (-921 2105457 2105498 2105622 "PERMAN" 2105757 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-920 2102948 2105122 2105244 "PENDTREE" 2105368 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-919 2101877 2102092 2102133 "PDSPC" 2102666 NIL PDSPC (NIL T) -9 NIL 2102911 NIL) (-918 2100980 2101198 2101560 "PDSPC-" 2101565 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-917 2099862 2100630 2100671 "PDRING" 2100676 NIL PDRING (NIL T) -9 NIL 2100704 NIL) (-916 2098749 2099367 2099421 "PDMOD" 2099426 NIL PDMOD (NIL T T) -9 NIL 2099530 NIL) (-915 2095964 2096742 2097410 "PDEPROB" 2098101 T PDEPROB (NIL) -8 NIL NIL NIL) (-914 2093509 2094013 2094568 "PDEPACK" 2095429 T PDEPACK (NIL) -7 NIL NIL NIL) (-913 2092421 2092611 2092862 "PDECOMP" 2093308 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-912 2089986 2090829 2090857 "PDECAT" 2091644 T PDECAT (NIL) -9 NIL 2092357 NIL) (-911 2089615 2089670 2089724 "PDDOM" 2089889 NIL PDDOM (NIL T T) -9 NIL 2089969 NIL) (-910 2089434 2089464 2089571 "PDDOM-" 2089576 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-909 2089185 2089218 2089308 "PCOMP" 2089395 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-908 2087363 2087986 2088283 "PBWLB" 2088914 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-907 2079836 2081436 2082774 "PATTERN" 2086046 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-906 2079468 2079525 2079634 "PATTERN2" 2079773 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-905 2077225 2077613 2078070 "PATTERN1" 2079057 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-904 2074593 2075174 2075655 "PATRES" 2076790 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-903 2074157 2074224 2074356 "PATRES2" 2074520 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-902 2072040 2072445 2072852 "PATMATCH" 2073824 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-901 2071536 2071745 2071786 "PATMAB" 2071893 NIL PATMAB (NIL T) -9 NIL 2071976 NIL) (-900 2070054 2070390 2070648 "PATLRES" 2071341 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-899 2069600 2069723 2069764 "PATAB" 2069769 NIL PATAB (NIL T) -9 NIL 2069941 NIL) (-898 2067782 2068177 2068600 "PARTPERM" 2069197 T PARTPERM (NIL) -7 NIL NIL NIL) (-897 2067403 2067466 2067568 "PARSURF" 2067713 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-896 2067035 2067092 2067201 "PARSU2" 2067340 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-895 2066799 2066839 2066906 "PARSER" 2066988 T PARSER (NIL) -7 NIL NIL NIL) (-894 2066420 2066483 2066585 "PARSCURV" 2066730 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-893 2066052 2066109 2066218 "PARSC2" 2066357 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-892 2065691 2065749 2065846 "PARPCURV" 2065988 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-891 2065323 2065380 2065489 "PARPC2" 2065628 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-890 2064384 2064696 2064878 "PARAMAST" 2065161 T PARAMAST (NIL) -8 NIL NIL NIL) (-889 2063904 2063990 2064109 "PAN2EXPR" 2064285 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-888 2062681 2063025 2063253 "PALETTE" 2063696 T PALETTE (NIL) -8 NIL NIL NIL) (-887 2061074 2061686 2062046 "PAIR" 2062367 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-886 2054666 2060331 2060526 "PADICRC" 2060928 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-885 2047582 2054010 2054195 "PADICRAT" 2054513 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-884 2045897 2047519 2047564 "PADIC" 2047569 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-883 2042993 2044557 2044597 "PADICCT" 2045178 NIL PADICCT (NIL NIL) -9 NIL 2045460 NIL) (-882 2041950 2042150 2042418 "PADEPAC" 2042780 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-881 2041162 2041295 2041501 "PADE" 2041812 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-880 2039549 2040370 2040650 "OWP" 2040966 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-879 2039042 2039255 2039352 "OVERSET" 2039472 T OVERSET (NIL) -8 NIL NIL NIL) (-878 2038088 2038647 2038819 "OVAR" 2038910 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-877 2037352 2037473 2037634 "OUT" 2037947 T OUT (NIL) -7 NIL NIL NIL) (-876 2026224 2028461 2030661 "OUTFORM" 2035172 T OUTFORM (NIL) -8 NIL NIL NIL) (-875 2025560 2025821 2025948 "OUTBFILE" 2026117 T OUTBFILE (NIL) -8 NIL NIL NIL) (-874 2024867 2025032 2025060 "OUTBCON" 2025378 T OUTBCON (NIL) -9 NIL 2025544 NIL) (-873 2024468 2024580 2024737 "OUTBCON-" 2024742 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-872 2023848 2024197 2024286 "OSI" 2024399 T OSI (NIL) -8 NIL NIL NIL) (-871 2023351 2023689 2023717 "OSGROUP" 2023722 T OSGROUP (NIL) -9 NIL 2023744 NIL) (-870 2022096 2022323 2022608 "ORTHPOL" 2023098 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-869 2019647 2021931 2022052 "OREUP" 2022057 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-868 2017050 2019338 2019465 "ORESUP" 2019589 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-867 2014578 2015078 2015639 "OREPCTO" 2016539 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-866 2008250 2010451 2010492 "OREPCAT" 2012840 NIL OREPCAT (NIL T) -9 NIL 2013944 NIL) (-865 2005397 2006179 2007237 "OREPCAT-" 2007242 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-864 2004644 2004867 2004895 "ORDTYPE" 2005204 T ORDTYPE (NIL) -9 NIL 2005367 NIL) (-863 2003987 2004161 2004416 "ORDTYPE-" 2004421 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-862 2003600 2003870 2003956 "ORDSTRCT" 2003961 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-861 2003170 2003468 2003496 "ORDSET" 2003501 T ORDSET (NIL) -9 NIL 2003523 NIL) (-860 2001708 2002499 2002527 "ORDRING" 2002729 T ORDRING (NIL) -9 NIL 2002854 NIL) (-859 2001353 2001447 2001591 "ORDRING-" 2001596 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 2000706 2001169 2001197 "ORDMON" 2001202 T ORDMON (NIL) -9 NIL 2001223 NIL) (-857 1999868 2000015 2000210 "ORDFUNS" 2000555 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1999179 1999598 1999626 "ORDFIN" 1999691 T ORDFIN (NIL) -9 NIL 1999765 NIL) (-855 1995738 1997765 1998174 "ORDCOMP" 1998803 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1995004 1995131 1995317 "ORDCOMP2" 1995598 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1991585 1992495 1993309 "OPTPROB" 1994210 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1988387 1989026 1989730 "OPTPACK" 1990901 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1986060 1986826 1986854 "OPTCAT" 1987673 T OPTCAT (NIL) -9 NIL 1988323 NIL) (-850 1985444 1985737 1985842 "OPSIG" 1985975 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1985212 1985251 1985317 "OPQUERY" 1985398 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1982343 1983523 1984027 "OP" 1984741 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1981703 1981929 1981970 "OPERCAT" 1982182 NIL OPERCAT (NIL T) -9 NIL 1982279 NIL) (-846 1981458 1981514 1981631 "OPERCAT-" 1981636 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1978271 1980255 1980624 "ONECOMP" 1981122 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1977576 1977691 1977865 "ONECOMP2" 1978143 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1976995 1977101 1977231 "OMSERVER" 1977466 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1973857 1976435 1976475 "OMSAGG" 1976536 NIL OMSAGG (NIL T) -9 NIL 1976600 NIL) (-841 1972480 1972743 1973025 "OMPKG" 1973595 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1971910 1972013 1972041 "OM" 1972340 T OM (NIL) -9 NIL NIL NIL) (-839 1970457 1971459 1971628 "OMLO" 1971791 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1969417 1969564 1969784 "OMEXPR" 1970283 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1968708 1968963 1969099 "OMERR" 1969301 T OMERR (NIL) -8 NIL NIL NIL) (-836 1967859 1968129 1968289 "OMERRK" 1968568 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1967310 1967536 1967644 "OMENC" 1967771 T OMENC (NIL) -8 NIL NIL NIL) (-834 1961205 1962390 1963561 "OMDEV" 1966159 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1960274 1960445 1960639 "OMCONN" 1961031 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1958768 1959744 1959772 "OINTDOM" 1959777 T OINTDOM (NIL) -9 NIL 1959798 NIL) (-831 1956106 1957456 1957793 "OFMONOID" 1958463 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1955478 1956043 1956088 "ODVAR" 1956093 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1952901 1955223 1955378 "ODR" 1955383 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1945206 1952677 1952803 "ODPOL" 1952808 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1939005 1945078 1945183 "ODP" 1945188 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1937771 1937986 1938261 "ODETOOLS" 1938779 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1934738 1935396 1936112 "ODESYS" 1937104 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1929620 1930528 1931553 "ODERTRIC" 1933813 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1929046 1929128 1929322 "ODERED" 1929532 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1925934 1926482 1927159 "ODERAT" 1928469 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1922893 1923358 1923955 "ODEPRRIC" 1925463 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1920836 1921432 1921918 "ODEPROB" 1922427 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1917356 1917841 1918488 "ODEPRIM" 1920315 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1916605 1916707 1916967 "ODEPAL" 1917248 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1912767 1913558 1914422 "ODEPACK" 1915761 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1911828 1911935 1912157 "ODEINT" 1912656 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1905929 1907354 1908801 "ODEIFTBL" 1910401 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1901327 1902113 1903065 "ODEEF" 1905088 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1900676 1900765 1900988 "ODECONST" 1901232 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1898787 1899448 1899476 "ODECAT" 1900081 T ODECAT (NIL) -9 NIL 1900612 NIL) (-811 1895642 1898492 1898614 "OCT" 1898697 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1895280 1895323 1895450 "OCTCT2" 1895593 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1889887 1892323 1892363 "OC" 1893460 NIL OC (NIL T) -9 NIL 1894318 NIL) (-808 1887114 1887862 1888852 "OC-" 1888946 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1886439 1886907 1886935 "OCAMON" 1886940 T OCAMON (NIL) -9 NIL 1886961 NIL) (-806 1885943 1886284 1886312 "OASGP" 1886317 T OASGP (NIL) -9 NIL 1886337 NIL) (-805 1885177 1885666 1885694 "OAMONS" 1885734 T OAMONS (NIL) -9 NIL 1885777 NIL) (-804 1884564 1884997 1885025 "OAMON" 1885030 T OAMON (NIL) -9 NIL 1885050 NIL) (-803 1883795 1884313 1884341 "OAGROUP" 1884346 T OAGROUP (NIL) -9 NIL 1884366 NIL) (-802 1883485 1883535 1883623 "NUMTUBE" 1883739 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1877058 1878576 1880112 "NUMQUAD" 1881969 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1872814 1873802 1874827 "NUMODE" 1876053 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1870155 1871035 1871063 "NUMINT" 1871986 T NUMINT (NIL) -9 NIL 1872750 NIL) (-798 1869103 1869300 1869518 "NUMFMT" 1869957 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1855462 1858407 1860939 "NUMERIC" 1866610 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1849832 1854911 1855006 "NTSCAT" 1855011 NIL NTSCAT (NIL T T T T) -9 NIL 1855050 NIL) (-795 1849026 1849191 1849384 "NTPOLFN" 1849671 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1836827 1845851 1846663 "NSUP" 1848247 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1836459 1836516 1836625 "NSUP2" 1836764 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1826409 1836233 1836366 "NSMP" 1836371 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1824841 1825142 1825499 "NREP" 1826097 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1823432 1823684 1824042 "NPCOEF" 1824584 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1822498 1822613 1822829 "NORMRETR" 1823313 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1820539 1820829 1821238 "NORMPK" 1822206 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1820224 1820252 1820376 "NORMMA" 1820505 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1820024 1820181 1820210 "NONE" 1820215 T NONE (NIL) -8 NIL NIL NIL) (-785 1819813 1819842 1819911 "NONE1" 1819988 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1819310 1819372 1819551 "NODE1" 1819745 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1817591 1818442 1818697 "NNI" 1819044 T NNI (NIL) -8 NIL NIL 1819279) (-782 1816011 1816324 1816688 "NLINSOL" 1817259 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1812252 1813247 1814146 "NIPROB" 1815132 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1811009 1811243 1811545 "NFINTBAS" 1812014 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1810183 1810659 1810700 "NETCLT" 1810872 NIL NETCLT (NIL T) -9 NIL 1810954 NIL) (-778 1808891 1809122 1809403 "NCODIV" 1809951 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1808653 1808690 1808765 "NCNTFRAC" 1808848 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1806833 1807197 1807617 "NCEP" 1808278 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1805670 1806443 1806471 "NASRING" 1806581 T NASRING (NIL) -9 NIL 1806661 NIL) (-774 1805465 1805509 1805603 "NASRING-" 1805608 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1804558 1805083 1805111 "NARNG" 1805228 T NARNG (NIL) -9 NIL 1805319 NIL) (-772 1804250 1804317 1804451 "NARNG-" 1804456 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1803129 1803336 1803571 "NAGSP" 1804035 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1794401 1796085 1797758 "NAGS" 1801476 T NAGS (NIL) -7 NIL NIL NIL) (-769 1792949 1793257 1793588 "NAGF07" 1794090 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1787487 1788778 1790085 "NAGF04" 1791662 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1780455 1782069 1783702 "NAGF02" 1785874 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1775679 1776779 1777896 "NAGF01" 1779358 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1769307 1770873 1772458 "NAGE04" 1774114 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1760476 1762597 1764727 "NAGE02" 1767197 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1756429 1757376 1758340 "NAGE01" 1759532 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1754224 1754758 1755316 "NAGD03" 1755891 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1745974 1747902 1749856 "NAGD02" 1752290 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1739785 1741210 1742650 "NAGD01" 1744554 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1735994 1736816 1737653 "NAGC06" 1738968 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1734459 1734791 1735147 "NAGC05" 1735658 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1733835 1733954 1734098 "NAGC02" 1734335 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1732780 1733363 1733403 "NAALG" 1733482 NIL NAALG (NIL T) -9 NIL 1733543 NIL) (-755 1732615 1732644 1732734 "NAALG-" 1732739 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1726565 1727673 1728860 "MULTSQFR" 1731511 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1725884 1725959 1726143 "MULTFACT" 1726477 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1718555 1722469 1722522 "MTSCAT" 1723592 NIL MTSCAT (NIL T T) -9 NIL 1724107 NIL) (-751 1718267 1718321 1718413 "MTHING" 1718495 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1718059 1718092 1718152 "MSYSCMD" 1718227 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1714141 1716814 1717134 "MSET" 1717772 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1711210 1713702 1713743 "MSETAGG" 1713748 NIL MSETAGG (NIL T) -9 NIL 1713782 NIL) (-747 1707052 1708589 1709334 "MRING" 1710510 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1706618 1706685 1706816 "MRF2" 1706979 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1706236 1706271 1706415 "MRATFAC" 1706577 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1703848 1704143 1704574 "MPRFF" 1705941 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1697869 1703702 1703799 "MPOLY" 1703804 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1697359 1697394 1697602 "MPCPF" 1697828 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1696873 1696916 1697100 "MPC3" 1697310 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1696068 1696149 1696370 "MPC2" 1696788 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1694369 1694706 1695096 "MONOTOOL" 1695728 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1693580 1693897 1693925 "MONOID" 1694144 T MONOID (NIL) -9 NIL 1694291 NIL) (-737 1693126 1693245 1693426 "MONOID-" 1693431 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1682716 1688946 1689005 "MONOGEN" 1689679 NIL MONOGEN (NIL T T) -9 NIL 1690135 NIL) (-735 1679934 1680669 1681669 "MONOGEN-" 1681788 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1678753 1679199 1679227 "MONADWU" 1679619 T MONADWU (NIL) -9 NIL 1679857 NIL) (-733 1678125 1678284 1678532 "MONADWU-" 1678537 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1677470 1677714 1677742 "MONAD" 1677949 T MONAD (NIL) -9 NIL 1678061 NIL) (-731 1677155 1677233 1677365 "MONAD-" 1677370 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1675444 1676068 1676347 "MOEBIUS" 1676908 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1674708 1675112 1675152 "MODULE" 1675157 NIL MODULE (NIL T) -9 NIL 1675196 NIL) (-728 1674276 1674372 1674562 "MODULE-" 1674567 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1671956 1672640 1672967 "MODRING" 1674100 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1668900 1670061 1670582 "MODOP" 1671485 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1667488 1667967 1668244 "MODMONOM" 1668763 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1657256 1665779 1666193 "MODMON" 1667125 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1654412 1656100 1656376 "MODFIELD" 1657131 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1653389 1653693 1653883 "MMLFORM" 1654242 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1652915 1652958 1653137 "MMAP" 1653340 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1650980 1651747 1651788 "MLO" 1652211 NIL MLO (NIL T) -9 NIL 1652453 NIL) (-719 1648346 1648862 1649464 "MLIFT" 1650461 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1647737 1647821 1647975 "MKUCFUNC" 1648257 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1647336 1647406 1647529 "MKRECORD" 1647660 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1646383 1646545 1646773 "MKFUNC" 1647147 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1645771 1645875 1646031 "MKFLCFN" 1646266 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1645048 1645150 1645335 "MKBCFUNC" 1645664 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1641637 1644602 1644738 "MINT" 1644932 T MINT (NIL) -8 NIL NIL NIL) (-712 1640449 1640692 1640969 "MHROWRED" 1641392 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1635829 1638984 1639389 "MFLOAT" 1640064 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1635186 1635262 1635433 "MFINFACT" 1635741 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1631501 1632349 1633233 "MESH" 1634322 T MESH (NIL) -7 NIL NIL NIL) (-708 1629891 1630203 1630556 "MDDFACT" 1631188 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1626661 1629022 1629063 "MDAGG" 1629318 NIL MDAGG (NIL T) -9 NIL 1629461 NIL) (-706 1615355 1625954 1626161 "MCMPLX" 1626474 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1614492 1614638 1614839 "MCDEN" 1615204 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1612382 1612652 1613032 "MCALCFN" 1614222 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1611307 1611547 1611780 "MAYBE" 1612188 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1608919 1609442 1610004 "MATSTOR" 1610778 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1604831 1608291 1608539 "MATRIX" 1608704 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1600597 1601304 1602040 "MATLIN" 1604188 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1590423 1593654 1593731 "MATCAT" 1598763 NIL MATCAT (NIL T T T) -9 NIL 1600235 NIL) (-698 1586616 1587686 1589099 "MATCAT-" 1589104 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1585210 1585363 1585696 "MATCAT2" 1586451 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1583322 1583646 1584030 "MAPPKG3" 1584885 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1582303 1582476 1582698 "MAPPKG2" 1583146 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1580802 1581086 1581413 "MAPPKG1" 1582009 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1579881 1580208 1580385 "MAPPAST" 1580645 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1579492 1579550 1579673 "MAPHACK3" 1579817 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1579084 1579145 1579259 "MAPHACK2" 1579424 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1578522 1578625 1578767 "MAPHACK1" 1578975 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1576601 1577222 1577526 "MAGMA" 1578250 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1576080 1576325 1576416 "MACROAST" 1576530 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1572501 1574319 1574780 "M3D" 1575652 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1566551 1570812 1570853 "LZSTAGG" 1571635 NIL LZSTAGG (NIL T) -9 NIL 1571930 NIL) (-685 1562509 1563682 1565139 "LZSTAGG-" 1565144 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1559596 1560400 1560887 "LWORD" 1562054 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1559172 1559400 1559475 "LSTAST" 1559541 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1552062 1558943 1559077 "LSQM" 1559082 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1551286 1551425 1551653 "LSPP" 1551917 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1549098 1549399 1549855 "LSMP" 1550975 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1545877 1546551 1547281 "LSMP1" 1548400 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1539679 1544967 1545008 "LSAGG" 1545070 NIL LSAGG (NIL T) -9 NIL 1545148 NIL) (-677 1536374 1537298 1538511 "LSAGG-" 1538516 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1533973 1535518 1535767 "LPOLY" 1536169 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1533555 1533640 1533763 "LPEFRAC" 1533882 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1531876 1532649 1532902 "LO" 1533387 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1531488 1531626 1531654 "LOGIC" 1531765 T LOGIC (NIL) -9 NIL 1531846 NIL) (-672 1531350 1531373 1531444 "LOGIC-" 1531449 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1530543 1530683 1530876 "LODOOPS" 1531206 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1527966 1530459 1530525 "LODO" 1530530 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1526504 1526739 1527092 "LODOF" 1527713 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1522708 1525139 1525180 "LODOCAT" 1525618 NIL LODOCAT (NIL T) -9 NIL 1525829 NIL) (-667 1522441 1522499 1522626 "LODOCAT-" 1522631 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1519761 1522282 1522400 "LODO2" 1522405 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1517196 1519698 1519743 "LODO1" 1519748 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1516077 1516242 1516547 "LODEEF" 1517019 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1511355 1514243 1514284 "LNAGG" 1515146 NIL LNAGG (NIL T) -9 NIL 1515581 NIL) (-662 1510502 1510716 1511058 "LNAGG-" 1511063 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1506638 1507427 1508066 "LMOPS" 1509917 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1506027 1506415 1506456 "LMODULE" 1506461 NIL LMODULE (NIL T) -9 NIL 1506487 NIL) (-659 1503228 1505672 1505795 "LMDICT" 1505937 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1502846 1503018 1503059 "LLINSET" 1503120 NIL LLINSET (NIL T) -9 NIL 1503164 NIL) (-657 1502545 1502754 1502814 "LITERAL" 1502819 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1495711 1501479 1501783 "LIST" 1502274 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1495236 1495310 1495449 "LIST3" 1495631 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1494243 1494421 1494649 "LIST2" 1495054 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1492377 1492689 1493088 "LIST2MAP" 1493890 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1492008 1492196 1492237 "LINSET" 1492242 NIL LINSET (NIL T) -9 NIL 1492276 NIL) (-651 1490421 1491035 1491076 "LINEXP" 1491566 NIL LINEXP (NIL T) -9 NIL 1491839 NIL) (-650 1488998 1489258 1489569 "LINDEP" 1490173 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1485765 1486484 1487261 "LIMITRF" 1488253 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1484068 1484364 1484773 "LIMITPS" 1485460 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1478496 1483579 1483807 "LIE" 1483889 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1477430 1477899 1477939 "LIECAT" 1478079 NIL LIECAT (NIL T) -9 NIL 1478230 NIL) (-645 1477271 1477298 1477386 "LIECAT-" 1477391 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1469864 1476811 1476967 "LIB" 1477135 T LIB (NIL) -8 NIL NIL NIL) (-643 1465499 1466382 1467317 "LGROBP" 1468981 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1463497 1463771 1464121 "LF" 1465220 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1462337 1463029 1463057 "LFCAT" 1463264 T LFCAT (NIL) -9 NIL 1463403 NIL) (-640 1459239 1459869 1460557 "LEXTRIPK" 1461701 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1455983 1456809 1457312 "LEXP" 1458819 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1455459 1455704 1455796 "LETAST" 1455911 T LETAST (NIL) -8 NIL NIL NIL) (-637 1453857 1454170 1454571 "LEADCDET" 1455141 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1453047 1453121 1453350 "LAZM3PK" 1453778 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1447964 1451124 1451662 "LAUPOL" 1452559 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1447543 1447587 1447748 "LAPLACE" 1447914 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1445482 1446644 1446895 "LA" 1447376 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1444462 1445046 1445087 "LALG" 1445149 NIL LALG (NIL T) -9 NIL 1445208 NIL) (-631 1444176 1444235 1444371 "LALG-" 1444376 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1444011 1444035 1444076 "KVTFROM" 1444138 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1442934 1443378 1443563 "KTVLOGIC" 1443846 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1442769 1442793 1442834 "KRCFROM" 1442896 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1441673 1441860 1442159 "KOVACIC" 1442569 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1441508 1441532 1441573 "KONVERT" 1441635 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1441343 1441367 1441408 "KOERCE" 1441470 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1439174 1439936 1440313 "KERNEL" 1440999 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1438670 1438751 1438883 "KERNEL2" 1439088 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1432381 1437147 1437201 "KDAGG" 1437578 NIL KDAGG (NIL T T) -9 NIL 1437784 NIL) (-621 1431910 1432034 1432239 "KDAGG-" 1432244 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1425058 1431571 1431726 "KAFILE" 1431788 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1419486 1424569 1424797 "JORDAN" 1424879 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1418865 1419135 1419256 "JOINAST" 1419385 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1418711 1418770 1418825 "JAVACODE" 1418830 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1414938 1416888 1416942 "IXAGG" 1417871 NIL IXAGG (NIL T T) -9 NIL 1418330 NIL) (-615 1413857 1414163 1414582 "IXAGG-" 1414587 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1409390 1413779 1413838 "IVECTOR" 1413843 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1408156 1408393 1408659 "ITUPLE" 1409157 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1406658 1406835 1407130 "ITRIGMNP" 1407978 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1405403 1405607 1405890 "ITFUN3" 1406434 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1405035 1405092 1405201 "ITFUN2" 1405340 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1404194 1404515 1404689 "ITFORM" 1404881 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1402155 1403214 1403492 "ITAYLOR" 1403949 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1391100 1396292 1397455 "ISUPS" 1401025 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1390204 1390344 1390580 "ISUMP" 1390947 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1385582 1390149 1390190 "ISTRING" 1390195 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1385058 1385303 1385395 "ISAST" 1385510 T ISAST (NIL) -8 NIL NIL NIL) (-603 1384267 1384349 1384565 "IRURPK" 1384972 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1383203 1383404 1383644 "IRSN" 1384047 T IRSN (NIL) -7 NIL NIL NIL) (-601 1381274 1381629 1382058 "IRRF2F" 1382841 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1381021 1381059 1381135 "IRREDFFX" 1381230 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1379636 1379895 1380194 "IROOT" 1380754 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1376240 1377320 1378012 "IR" 1378976 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1375445 1375733 1375884 "IRFORM" 1376109 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1373058 1373553 1374119 "IR2" 1374923 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1372158 1372271 1372485 "IR2F" 1372941 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1371949 1371983 1372043 "IPRNTPK" 1372118 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1368530 1371838 1371907 "IPF" 1371912 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1366857 1368455 1368512 "IPADIC" 1368517 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1366169 1366417 1366547 "IP4ADDR" 1366747 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1365543 1365798 1365930 "IOMODE" 1366057 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1364616 1365140 1365267 "IOBFILE" 1365436 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1364104 1364520 1364548 "IOBCON" 1364553 T IOBCON (NIL) -9 NIL 1364574 NIL) (-587 1363615 1363673 1363856 "INVLAPLA" 1364040 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1353263 1355617 1358003 "INTTR" 1361279 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1349598 1350340 1351205 "INTTOOLS" 1352448 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1349184 1349275 1349392 "INTSLPE" 1349501 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1347137 1349107 1349166 "INTRVL" 1349171 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1344739 1345251 1345826 "INTRF" 1346622 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1344150 1344247 1344389 "INTRET" 1344637 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1342147 1342536 1343006 "INTRAT" 1343758 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1339410 1339993 1340612 "INTPM" 1341632 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1336155 1336754 1337492 "INTPAF" 1338796 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1331334 1332296 1333347 "INTPACK" 1335124 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1328146 1331131 1331240 "INT" 1331245 T INT (NIL) -8 NIL NIL NIL) (-575 1327398 1327550 1327758 "INTHERTR" 1327988 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1326837 1326917 1327105 "INTHERAL" 1327312 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1324683 1325126 1325583 "INTHEORY" 1326400 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1316089 1317710 1319482 "INTG0" 1323035 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1296662 1301452 1306262 "INTFTBL" 1311299 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1295911 1296049 1296222 "INTFACT" 1296521 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1293338 1293784 1294341 "INTEF" 1295465 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1291691 1292430 1292458 "INTDOM" 1292759 T INTDOM (NIL) -9 NIL 1292966 NIL) (-567 1291060 1291234 1291476 "INTDOM-" 1291481 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1287420 1289349 1289403 "INTCAT" 1290202 NIL INTCAT (NIL T) -9 NIL 1290523 NIL) (-565 1286892 1286995 1287123 "INTBIT" 1287312 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1285591 1285745 1286052 "INTALG" 1286737 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1285074 1285164 1285321 "INTAF" 1285495 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1278423 1284884 1285024 "INTABL" 1285029 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1277756 1278222 1278287 "INT8" 1278321 T INT8 (NIL) -8 NIL NIL 1278366) (-560 1277088 1277554 1277619 "INT64" 1277653 T INT64 (NIL) -8 NIL NIL 1277698) (-559 1276420 1276886 1276951 "INT32" 1276985 T INT32 (NIL) -8 NIL NIL 1277030) (-558 1275752 1276218 1276283 "INT16" 1276317 T INT16 (NIL) -8 NIL NIL 1276362) (-557 1270447 1273300 1273328 "INS" 1274262 T INS (NIL) -9 NIL 1274927 NIL) (-556 1267687 1268458 1269432 "INS-" 1269505 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1266462 1266689 1266987 "INPSIGN" 1267440 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1265580 1265697 1265894 "INPRODPF" 1266342 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1264474 1264591 1264828 "INPRODFF" 1265460 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1263474 1263626 1263886 "INNMFACT" 1264310 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1262671 1262768 1262956 "INMODGCD" 1263373 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1261179 1261424 1261748 "INFSP" 1262416 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1260363 1260480 1260663 "INFPROD0" 1261059 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1257218 1258428 1258943 "INFORM" 1259856 T INFORM (NIL) -8 NIL NIL NIL) (-547 1256828 1256888 1256986 "INFORM1" 1257153 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1256351 1256440 1256554 "INFINITY" 1256734 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1255527 1256071 1256172 "INETCLTS" 1256270 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1254143 1254393 1254714 "INEP" 1255275 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1253348 1254040 1254105 "INDE" 1254110 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1252912 1252980 1253097 "INCRMAPS" 1253275 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1251730 1252181 1252387 "INBFILE" 1252726 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1247029 1247966 1248910 "INBFF" 1250818 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1245937 1246206 1246234 "INBCON" 1246747 T INBCON (NIL) -9 NIL 1247013 NIL) (-538 1245189 1245412 1245688 "INBCON-" 1245693 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1244668 1244913 1245004 "INAST" 1245118 T INAST (NIL) -8 NIL NIL NIL) (-536 1244095 1244347 1244453 "IMPTAST" 1244582 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1240496 1243939 1244043 "IMATRIX" 1244048 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1239204 1239327 1239643 "IMATQF" 1240352 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1237424 1237651 1237988 "IMATLIN" 1238960 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1232005 1237348 1237406 "ILIST" 1237411 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1229913 1231865 1231978 "IIARRAY2" 1231983 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1225311 1229824 1229888 "IFF" 1229893 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1224658 1224928 1225044 "IFAST" 1225215 T IFAST (NIL) -8 NIL NIL NIL) (-528 1219656 1223950 1224138 "IFARRAY" 1224515 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1218836 1219560 1219633 "IFAMON" 1219638 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1218420 1218485 1218539 "IEVALAB" 1218746 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1218095 1218163 1218323 "IEVALAB-" 1218328 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1217542 1218010 1218072 "IDPO" 1218077 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1216750 1217431 1217506 "IDPOAMS" 1217511 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1216015 1216639 1216714 "IDPOAM" 1216719 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1214561 1215022 1215074 "IDPC" 1215586 NIL IDPC (NIL T T) -9 NIL 1215867 NIL) (-520 1213989 1214453 1214526 "IDPAM" 1214531 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1213324 1213881 1213954 "IDPAG" 1213959 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1212969 1213160 1213235 "IDENT" 1213269 T IDENT (NIL) -8 NIL NIL NIL) (-517 1209224 1210072 1210967 "IDECOMP" 1212126 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1202061 1203147 1204194 "IDEAL" 1208260 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1201221 1201333 1201533 "ICDEN" 1201945 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1200292 1200701 1200848 "ICARD" 1201094 T ICARD (NIL) -8 NIL NIL NIL) (-513 1198352 1198665 1199070 "IBPTOOLS" 1199969 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1193959 1197972 1198085 "IBITS" 1198271 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1190682 1191258 1191953 "IBATOOL" 1193376 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1188461 1188923 1189456 "IBACHIN" 1190217 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1186293 1188307 1188410 "IARRAY2" 1188415 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1182402 1186219 1186276 "IARRAY1" 1186281 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1176262 1180814 1181295 "IAN" 1181941 T IAN (NIL) -8 NIL NIL NIL) (-506 1175773 1175830 1176003 "IALGFACT" 1176199 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1175301 1175414 1175442 "HYPCAT" 1175649 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1174839 1174956 1175142 "HYPCAT-" 1175147 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1174434 1174634 1174717 "HOSTNAME" 1174776 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1174279 1174316 1174357 "HOMOTOP" 1174362 NIL HOMOTOP (NIL T) -9 NIL 1174395 NIL) (-501 1170836 1172211 1172252 "HOAGG" 1173233 NIL HOAGG (NIL T) -9 NIL 1173962 NIL) (-500 1169430 1169829 1170355 "HOAGG-" 1170360 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1163146 1169023 1169173 "HEXADEC" 1169300 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1161894 1162116 1162379 "HEUGCD" 1162923 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1160970 1161731 1161861 "HELLFDIV" 1161866 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1159152 1160747 1160835 "HEAP" 1160914 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1158415 1158704 1158838 "HEADAST" 1159038 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1152258 1158330 1158392 "HDP" 1158397 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1145970 1151893 1152045 "HDMP" 1152159 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1145294 1145434 1145598 "HB" 1145826 T HB (NIL) -7 NIL NIL NIL) (-491 1138686 1145140 1145244 "HASHTBL" 1145249 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1138162 1138407 1138499 "HASAST" 1138614 T HASAST (NIL) -8 NIL NIL NIL) (-489 1135940 1137784 1137966 "HACKPI" 1138000 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1131608 1135793 1135906 "GTSET" 1135911 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1125029 1131486 1131584 "GSTBL" 1131589 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1117416 1124194 1124450 "GSERIES" 1124829 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1116543 1116960 1116988 "GROUP" 1117191 T GROUP (NIL) -9 NIL 1117325 NIL) (-484 1115909 1116068 1116319 "GROUP-" 1116324 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1114276 1114597 1114984 "GROEBSOL" 1115586 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1113176 1113464 1113515 "GRMOD" 1114044 NIL GRMOD (NIL T T) -9 NIL 1114212 NIL) (-481 1112944 1112980 1113108 "GRMOD-" 1113113 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1108234 1109298 1110298 "GRIMAGE" 1111964 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1106700 1106961 1107285 "GRDEF" 1107930 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1106144 1106260 1106401 "GRAY" 1106579 T GRAY (NIL) -7 NIL NIL NIL) (-477 1105317 1105723 1105774 "GRALG" 1105927 NIL GRALG (NIL T T) -9 NIL 1106020 NIL) (-476 1104978 1105051 1105214 "GRALG-" 1105219 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1101755 1104563 1104741 "GPOLSET" 1104885 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1101109 1101166 1101424 "GOSPER" 1101692 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1096841 1097547 1098073 "GMODPOL" 1100808 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1095846 1096030 1096268 "GHENSEL" 1096653 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1090002 1090845 1091865 "GENUPS" 1094930 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1089699 1089750 1089839 "GENUFACT" 1089945 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1089111 1089188 1089353 "GENPGCD" 1089617 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1088585 1088620 1088833 "GENMFACT" 1089070 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1087151 1087408 1087715 "GENEEZ" 1088328 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1081023 1086762 1086924 "GDMP" 1087074 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1070366 1074794 1075900 "GCNAALG" 1080006 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1068679 1069541 1069569 "GCDDOM" 1069824 T GCDDOM (NIL) -9 NIL 1069981 NIL) (-463 1068149 1068276 1068491 "GCDDOM-" 1068496 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1066821 1067006 1067310 "GB" 1067928 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1055437 1057767 1060159 "GBINTERN" 1064512 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1053274 1053566 1053987 "GBF" 1055112 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1052055 1052220 1052487 "GBEUCLID" 1053090 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1051404 1051529 1051678 "GAUSSFAC" 1051926 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1049771 1050073 1050387 "GALUTIL" 1051123 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1048079 1048353 1048677 "GALPOLYU" 1049498 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1045444 1045734 1046141 "GALFACTU" 1047776 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1037250 1038749 1040357 "GALFACT" 1043876 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1034638 1035296 1035324 "FVFUN" 1036480 T FVFUN (NIL) -9 NIL 1037200 NIL) (-452 1033904 1034086 1034114 "FVC" 1034405 T FVC (NIL) -9 NIL 1034588 NIL) (-451 1033547 1033729 1033797 "FUNDESC" 1033856 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1033162 1033344 1033425 "FUNCTION" 1033499 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1030906 1031484 1031950 "FT" 1032716 T FT (NIL) -8 NIL NIL NIL) (-448 1029697 1030207 1030410 "FTEM" 1030723 T FTEM (NIL) -8 NIL NIL NIL) (-447 1027988 1028277 1028674 "FSUPFACT" 1029388 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1026385 1026674 1027006 "FST" 1027676 T FST (NIL) -8 NIL NIL NIL) (-445 1025584 1025690 1025878 "FSRED" 1026267 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1024283 1024539 1024886 "FSPRMELT" 1025299 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1021589 1022027 1022513 "FSPECF" 1023846 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 1002654 1011363 1011404 "FS" 1015288 NIL FS (NIL T) -9 NIL 1017577 NIL) (-441 991297 994290 998347 "FS-" 998647 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 990825 990879 991049 "FSINT" 991238 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 989117 989818 990121 "FSERIES" 990604 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 988159 988275 988499 "FSCINT" 988997 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 984367 987103 987144 "FSAGG" 987514 NIL FSAGG (NIL T) -9 NIL 987773 NIL) (-436 982129 982730 983526 "FSAGG-" 983621 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 981171 981314 981541 "FSAGG2" 981982 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 978849 979129 979677 "FS2UPS" 980889 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 978483 978526 978655 "FS2" 978800 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 977361 977532 977834 "FS2EXPXP" 978308 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 976787 976902 977054 "FRUTIL" 977241 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 968200 972282 973640 "FR" 975461 NIL FR (NIL T) -8 NIL NIL NIL) (-429 963214 965889 965929 "FRNAALG" 967249 NIL FRNAALG (NIL T) -9 NIL 967847 NIL) (-428 958887 959963 961238 "FRNAALG-" 961988 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 958525 958568 958695 "FRNAAF2" 958838 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 956900 957374 957670 "FRMOD" 958337 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 954643 955275 955593 "FRIDEAL" 956691 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 953834 953921 954212 "FRIDEAL2" 954550 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 952967 953381 953422 "FRETRCT" 953427 NIL FRETRCT (NIL T) -9 NIL 953603 NIL) (-422 952079 952310 952661 "FRETRCT-" 952666 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 949153 950363 950422 "FRAMALG" 951304 NIL FRAMALG (NIL T T) -9 NIL 951596 NIL) (-420 947287 947742 948372 "FRAMALG-" 948595 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 940930 946760 947037 "FRAC" 947042 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 940566 940623 940730 "FRAC2" 940867 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 940202 940259 940366 "FR2" 940503 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 934687 937581 937609 "FPS" 938728 T FPS (NIL) -9 NIL 939285 NIL) (-415 934136 934245 934409 "FPS-" 934555 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 931424 933093 933121 "FPC" 933346 T FPC (NIL) -9 NIL 933488 NIL) (-413 931217 931257 931354 "FPC-" 931359 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 930007 930705 930746 "FPATMAB" 930751 NIL FPATMAB (NIL T) -9 NIL 930903 NIL) (-411 928246 928749 929096 "FPARFRAC" 929723 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 923640 924138 924820 "FORTRAN" 927678 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 921356 921856 922395 "FORT" 923121 T FORT (NIL) -7 NIL NIL NIL) (-408 919032 919594 919622 "FORTFN" 920682 T FORTFN (NIL) -9 NIL 921306 NIL) (-407 918796 918846 918874 "FORTCAT" 918933 T FORTCAT (NIL) -9 NIL 918995 NIL) (-406 916902 917412 917802 "FORMULA" 918426 T FORMULA (NIL) -8 NIL NIL NIL) (-405 916690 916720 916789 "FORMULA1" 916866 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 916213 916265 916438 "FORDER" 916632 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 915309 915473 915666 "FOP" 916040 T FOP (NIL) -7 NIL NIL NIL) (-402 913890 914589 914763 "FNLA" 915191 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 912605 913020 913048 "FNCAT" 913508 T FNCAT (NIL) -9 NIL 913768 NIL) (-400 912144 912564 912592 "FNAME" 912597 T FNAME (NIL) -8 NIL NIL NIL) (-399 910680 911643 911671 "FMTC" 911676 T FMTC (NIL) -9 NIL 911712 NIL) (-398 909426 910616 910662 "FMONOID" 910667 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 906213 907381 907422 "FMONCAT" 908639 NIL FMONCAT (NIL T) -9 NIL 909244 NIL) (-396 905363 905955 906104 "FM" 906109 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 902787 903433 903461 "FMFUN" 904605 T FMFUN (NIL) -9 NIL 905313 NIL) (-394 902056 902237 902265 "FMC" 902555 T FMC (NIL) -9 NIL 902737 NIL) (-393 899121 899981 900035 "FMCAT" 901230 NIL FMCAT (NIL T T) -9 NIL 901725 NIL) (-392 897987 898887 898987 "FM1" 899066 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 895761 896177 896671 "FLOATRP" 897538 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 889339 893490 894111 "FLOAT" 895160 T FLOAT (NIL) -8 NIL NIL NIL) (-389 886777 887277 887855 "FLOATCP" 888806 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 885425 886369 886410 "FLINEXP" 886415 NIL FLINEXP (NIL T) -9 NIL 886508 NIL) (-387 884579 884814 885142 "FLINEXP-" 885147 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 883655 883799 884023 "FLASORT" 884431 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 880757 881625 881677 "FLALG" 882904 NIL FLALG (NIL T T) -9 NIL 883371 NIL) (-384 874417 878166 878207 "FLAGG" 879469 NIL FLAGG (NIL T) -9 NIL 880121 NIL) (-383 873143 873482 873972 "FLAGG-" 873977 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 872185 872328 872555 "FLAGG2" 872996 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 869022 870030 870089 "FINRALG" 871217 NIL FINRALG (NIL T T) -9 NIL 871725 NIL) (-380 868182 868411 868750 "FINRALG-" 868755 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 867548 867787 867815 "FINITE" 868011 T FINITE (NIL) -9 NIL 868118 NIL) (-378 859891 862078 862118 "FINAALG" 865785 NIL FINAALG (NIL T) -9 NIL 867238 NIL) (-377 855223 856273 857417 "FINAALG-" 858796 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 854591 854978 855081 "FILE" 855153 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 853235 853573 853627 "FILECAT" 854311 NIL FILECAT (NIL T T) -9 NIL 854527 NIL) (-374 850937 852465 852493 "FIELD" 852533 T FIELD (NIL) -9 NIL 852613 NIL) (-373 849557 849942 850453 "FIELD-" 850458 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 847407 848192 848539 "FGROUP" 849243 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 846497 846661 846881 "FGLMICPK" 847239 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 842329 846422 846479 "FFX" 846484 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 841930 841991 842126 "FFSLPE" 842262 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 837920 838702 839498 "FFPOLY" 841166 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 837424 837460 837669 "FFPOLY2" 837878 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 833270 837343 837406 "FFP" 837411 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 828668 833181 833245 "FF" 833250 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 823794 828011 828201 "FFNBX" 828522 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 818722 822929 823187 "FFNBP" 823648 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 813355 818006 818217 "FFNB" 818555 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 812187 812385 812700 "FFINTBAS" 813152 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 808213 810434 810462 "FFIELDC" 811082 T FFIELDC (NIL) -9 NIL 811458 NIL) (-359 806875 807246 807743 "FFIELDC-" 807748 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 806444 806490 806614 "FFHOM" 806817 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 804139 804626 805143 "FFF" 805959 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 799757 803881 803982 "FFCGX" 804082 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 795379 799489 799596 "FFCGP" 799700 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 790562 795106 795214 "FFCG" 795315 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 770091 780294 780380 "FFCAT" 785545 NIL FFCAT (NIL T T T) -9 NIL 786996 NIL) (-352 765288 766336 767650 "FFCAT-" 768880 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 764699 764742 764977 "FFCAT2" 765239 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 754022 757671 758891 "FEXPR" 763551 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 752984 753419 753460 "FEVALAB" 753544 NIL FEVALAB (NIL T) -9 NIL 753805 NIL) (-348 752143 752353 752691 "FEVALAB-" 752696 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 750709 751526 751729 "FDIV" 752042 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 747715 748456 748571 "FDIVCAT" 750139 NIL FDIVCAT (NIL T T T T) -9 NIL 750576 NIL) (-345 747477 747504 747674 "FDIVCAT-" 747679 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 746697 746784 747061 "FDIV2" 747384 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 745671 745992 746194 "FCTRDATA" 746515 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 744357 744616 744905 "FCPAK1" 745402 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 743456 743857 743998 "FCOMP" 744248 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 727161 730606 734144 "FC" 739938 T FC (NIL) -8 NIL NIL NIL) (-339 719454 723482 723522 "FAXF" 725324 NIL FAXF (NIL T) -9 NIL 726016 NIL) (-338 716731 717388 718213 "FAXF-" 718678 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 711786 716107 716283 "FARRAY" 716588 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 706666 708733 708786 "FAMR" 709809 NIL FAMR (NIL T T) -9 NIL 710269 NIL) (-335 705556 705858 706293 "FAMR-" 706298 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 704725 705478 705531 "FAMONOID" 705536 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 702497 703207 703260 "FAMONC" 704201 NIL FAMONC (NIL T T) -9 NIL 704587 NIL) (-332 701161 702251 702388 "FAGROUP" 702393 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 698956 699275 699678 "FACUTIL" 700842 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 698055 698240 698462 "FACTFUNC" 698766 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 690477 697358 697557 "EXPUPXS" 697911 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 687960 688500 689086 "EXPRTUBE" 689911 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 684231 684823 685553 "EXPRODE" 687299 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 669715 682880 683309 "EXPR" 683835 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 664269 664856 665662 "EXPR2UPS" 669013 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 663901 663958 664067 "EXPR2" 664206 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 654898 663052 663343 "EXPEXPAN" 663737 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 654698 654855 654884 "EXIT" 654889 T EXIT (NIL) -8 NIL NIL NIL) (-321 654178 654422 654513 "EXITAST" 654627 T EXITAST (NIL) -8 NIL NIL NIL) (-320 653805 653867 653980 "EVALCYC" 654110 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 653346 653464 653505 "EVALAB" 653675 NIL EVALAB (NIL T) -9 NIL 653779 NIL) (-318 652827 652949 653170 "EVALAB-" 653175 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 650181 651483 651511 "EUCDOM" 652066 T EUCDOM (NIL) -9 NIL 652416 NIL) (-316 648586 649028 649618 "EUCDOM-" 649623 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 636125 638884 641634 "ESTOOLS" 645856 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 635757 635814 635923 "ESTOOLS2" 636062 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 635508 635550 635630 "ESTOOLS1" 635709 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 629531 631139 631167 "ES" 633935 T ES (NIL) -9 NIL 635345 NIL) (-311 624478 625765 627582 "ES-" 627746 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 620852 621613 622393 "ESCONT" 623718 T ESCONT (NIL) -7 NIL NIL NIL) (-309 620597 620629 620711 "ESCONT1" 620814 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 620272 620322 620422 "ES2" 620541 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 619902 619960 620069 "ES1" 620208 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 619118 619247 619423 "ERROR" 619746 T ERROR (NIL) -7 NIL NIL NIL) (-305 612516 618977 619068 "EQTBL" 619073 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 605019 607830 609279 "EQ" 611100 NIL -3043 (NIL T) -8 NIL NIL NIL) (-303 604651 604708 604817 "EQ2" 604956 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 599942 600989 602082 "EP" 603590 NIL EP (NIL T) -7 NIL NIL NIL) (-301 598542 598833 599139 "ENV" 599656 T ENV (NIL) -8 NIL NIL NIL) (-300 597622 598176 598204 "ENTIRER" 598209 T ENTIRER (NIL) -9 NIL 598255 NIL) (-299 594316 595804 596165 "EMR" 597430 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 593446 593631 593685 "ELTAGG" 594065 NIL ELTAGG (NIL T T) -9 NIL 594276 NIL) (-297 593165 593227 593368 "ELTAGG-" 593373 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 592929 592958 593012 "ELTAB" 593096 NIL ELTAB (NIL T T) -9 NIL 593148 NIL) (-295 592055 592201 592400 "ELFUTS" 592780 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 591797 591853 591881 "ELEMFUN" 591986 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 591667 591688 591756 "ELEMFUN-" 591761 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 586456 589709 589750 "ELAGG" 590690 NIL ELAGG (NIL T) -9 NIL 591153 NIL) (-291 584741 585175 585838 "ELAGG-" 585843 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 584053 584190 584346 "ELABOR" 584605 T ELABOR (NIL) -8 NIL NIL NIL) (-289 582714 582993 583287 "ELABEXPR" 583779 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 575548 577351 578180 "EFUPXS" 581989 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 568996 570797 571608 "EFULS" 574823 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 566481 566839 567311 "EFSTRUC" 568628 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 556272 557838 559386 "EF" 564996 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 555346 555757 555906 "EAB" 556143 T EAB (NIL) -8 NIL NIL NIL) (-283 554528 555305 555333 "E04UCFA" 555338 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 553710 554487 554515 "E04NAFA" 554520 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 552892 553669 553697 "E04MBFA" 553702 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 552074 552851 552879 "E04JAFA" 552884 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 551258 552033 552061 "E04GCFA" 552066 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 550442 551217 551245 "E04FDFA" 551250 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 549624 550401 550429 "E04DGFA" 550434 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 543797 545149 546513 "E04AGNT" 548280 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 542555 543098 543138 "DVARCAT" 543479 NIL DVARCAT (NIL T) -9 NIL 543642 NIL) (-274 541759 541971 542285 "DVARCAT-" 542290 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 534620 541558 541687 "DSMP" 541692 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 533043 533762 533803 "DSEXT" 534166 NIL DSEXT (NIL T) -9 NIL 534460 NIL) (-271 531328 531756 532422 "DSEXT-" 532427 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 526109 527273 528341 "DROPT" 530280 T DROPT (NIL) -8 NIL NIL NIL) (-269 525774 525833 525931 "DROPT1" 526044 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 520889 522015 523152 "DROPT0" 524657 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 519234 519559 519945 "DRAWPT" 520523 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 513821 514744 515823 "DRAW" 518208 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 513454 513507 513625 "DRAWHACK" 513762 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 512185 512454 512745 "DRAWCX" 513183 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 511700 511769 511920 "DRAWCURV" 512111 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 502168 504130 506245 "DRAWCFUN" 509605 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 498907 500833 500874 "DQAGG" 501503 NIL DQAGG (NIL T) -9 NIL 501777 NIL) (-260 486372 493118 493201 "DPOLCAT" 495053 NIL DPOLCAT (NIL T T T T) -9 NIL 495598 NIL) (-259 481209 482557 484515 "DPOLCAT-" 484520 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 474556 481070 481168 "DPMO" 481173 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 467806 474336 474503 "DPMM" 474508 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 467376 467590 467679 "DOMTMPLT" 467737 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 466809 467178 467258 "DOMCTOR" 467316 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 466021 466289 466440 "DOMAIN" 466678 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 459733 465656 465808 "DMP" 465922 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 457678 458800 458841 "DMEXT" 458846 NIL DMEXT (NIL T) -9 NIL 459022 NIL) (-251 457278 457334 457478 "DLP" 457616 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 451103 456605 456795 "DLIST" 457120 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 447875 449928 449969 "DLAGG" 450519 NIL DLAGG (NIL T) -9 NIL 450749 NIL) (-248 446537 447201 447229 "DIVRING" 447321 T DIVRING (NIL) -9 NIL 447404 NIL) (-247 445774 445964 446264 "DIVRING-" 446269 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 443876 444233 444639 "DISPLAY" 445388 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 437739 443790 443853 "DIRPROD" 443858 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 436587 436790 437055 "DIRPROD2" 437532 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 425262 431298 431351 "DIRPCAT" 431609 NIL DIRPCAT (NIL NIL T) -9 NIL 432484 NIL) (-242 422588 423230 424111 "DIRPCAT-" 424448 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 421875 422035 422221 "DIOSP" 422422 T DIOSP (NIL) -7 NIL NIL NIL) (-240 418505 420759 420800 "DIOPS" 421234 NIL DIOPS (NIL T) -9 NIL 421463 NIL) (-239 418054 418168 418359 "DIOPS-" 418364 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 417105 417733 417761 "DIFRING" 417766 T DIFRING (NIL) -9 NIL 417788 NIL) (-237 416777 416851 416879 "DIFFSPC" 416998 T DIFFSPC (NIL) -9 NIL 417073 NIL) (-236 416422 416500 416652 "DIFFSPC-" 416657 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 415478 415956 415997 "DIFFMOD" 416002 NIL DIFFMOD (NIL T) -9 NIL 416100 NIL) (-234 415186 415231 415272 "DIFFDOM" 415393 NIL DIFFDOM (NIL T) -9 NIL 415461 NIL) (-233 415039 415063 415147 "DIFFDOM-" 415152 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 412971 414243 414284 "DIFEXT" 414289 NIL DIFEXT (NIL T) -9 NIL 414442 NIL) (-231 410221 412475 412516 "DIAGG" 412521 NIL DIAGG (NIL T) -9 NIL 412541 NIL) (-230 409605 409762 410014 "DIAGG-" 410019 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 404977 408564 408841 "DHMATRIX" 409374 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 400589 401498 402508 "DFSFUN" 403987 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 395667 399520 399832 "DFLOAT" 400297 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 393930 394211 394600 "DFINTTLS" 395375 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 390959 391951 392351 "DERHAM" 393596 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 388763 390734 390823 "DEQUEUE" 390903 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 388017 388150 388333 "DEGRED" 388625 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 384447 385192 386038 "DEFINTRF" 387245 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 382002 382471 383063 "DEFINTEF" 383966 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 381352 381622 381737 "DEFAST" 381907 T DEFAST (NIL) -8 NIL NIL NIL) (-219 375068 380945 381095 "DECIMAL" 381222 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 372580 373038 373544 "DDFACT" 374612 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 372176 372219 372370 "DBLRESP" 372531 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 370044 370406 370767 "DBASE" 371942 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 369286 369524 369670 "DATAARY" 369943 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 368392 369245 369273 "D03FAFA" 369278 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 367499 368351 368379 "D03EEFA" 368384 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 365449 365915 366404 "D03AGNT" 367030 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 364738 365408 365436 "D02EJFA" 365441 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 364027 364697 364725 "D02CJFA" 364730 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 363316 363986 364014 "D02BHFA" 364019 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 362605 363275 363303 "D02BBFA" 363308 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 355802 357391 358997 "D02AGNT" 361019 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 353570 354093 354639 "D01WGTS" 355276 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 352637 353529 353557 "D01TRNS" 353562 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 351705 352596 352624 "D01GBFA" 352629 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 350773 351664 351692 "D01FCFA" 351697 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 349841 350732 350760 "D01ASFA" 350765 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 348909 349800 349828 "D01AQFA" 349833 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 347977 348868 348896 "D01APFA" 348901 T D01APFA (NIL) -8 NIL NIL NIL) (-199 347045 347936 347964 "D01ANFA" 347969 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 346113 347004 347032 "D01AMFA" 347037 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 345181 346072 346100 "D01ALFA" 346105 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 344249 345140 345168 "D01AKFA" 345173 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 343317 344208 344236 "D01AJFA" 344241 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 336612 338165 339726 "D01AGNT" 341776 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 335949 336077 336229 "CYCLOTOM" 336480 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 332682 333397 334124 "CYCLES" 335242 T CYCLES (NIL) -7 NIL NIL NIL) (-191 331994 332128 332299 "CVMP" 332543 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 329835 330093 330462 "CTRIGMNP" 331722 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 329271 329629 329702 "CTOR" 329782 T CTOR (NIL) -8 NIL NIL NIL) (-188 328780 329002 329103 "CTORKIND" 329190 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 328057 328373 328401 "CTORCAT" 328583 T CTORCAT (NIL) -9 NIL 328696 NIL) (-186 327655 327766 327925 "CTORCAT-" 327930 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 327117 327329 327437 "CTORCALL" 327579 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 326491 326590 326743 "CSTTOOLS" 327014 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 322290 322947 323705 "CRFP" 325803 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 321765 322011 322103 "CRCEAST" 322218 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 320812 320997 321225 "CRAPACK" 321569 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 320196 320297 320501 "CPMATCH" 320688 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 319921 319949 320055 "CPIMA" 320162 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 316269 316941 317660 "COORDSYS" 319256 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 315681 315802 315944 "CONTOUR" 316147 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 311572 313684 314176 "CONTFRAC" 315221 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 311452 311473 311501 "CONDUIT" 311538 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 310526 311080 311108 "COMRING" 311113 T COMRING (NIL) -9 NIL 311165 NIL) (-173 309580 309884 310068 "COMPPROP" 310362 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 309241 309276 309404 "COMPLPAT" 309539 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 298544 309050 309159 "COMPLEX" 309164 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 298180 298237 298344 "COMPLEX2" 298481 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 297519 297640 297800 "COMPILER" 298040 T COMPILER (NIL) -8 NIL NIL NIL) (-168 297237 297272 297370 "COMPFACT" 297478 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 279516 290941 290981 "COMPCAT" 291985 NIL COMPCAT (NIL T) -9 NIL 293333 NIL) (-166 269028 271955 275582 "COMPCAT-" 275938 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 268757 268785 268888 "COMMUPC" 268994 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 268551 268585 268644 "COMMONOP" 268718 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 268107 268302 268389 "COMM" 268484 T COMM (NIL) -8 NIL NIL NIL) (-162 267683 267911 267986 "COMMAAST" 268052 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 266932 267126 267154 "COMBOPC" 267492 T COMBOPC (NIL) -9 NIL 267667 NIL) (-160 265828 266038 266280 "COMBINAT" 266722 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 262285 262859 263486 "COMBF" 265250 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 261043 261401 261636 "COLOR" 262070 T COLOR (NIL) -8 NIL NIL NIL) (-157 260519 260764 260856 "COLONAST" 260971 T COLONAST (NIL) -8 NIL NIL NIL) (-156 260159 260206 260331 "CMPLXRT" 260466 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 259607 259859 259958 "CLLCTAST" 260080 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 255109 256137 257217 "CLIP" 258547 T CLIP (NIL) -7 NIL NIL NIL) (-153 253450 254210 254450 "CLIF" 254936 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 249600 251568 251609 "CLAGG" 252538 NIL CLAGG (NIL T) -9 NIL 253074 NIL) (-151 248022 248479 249062 "CLAGG-" 249067 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 247566 247651 247791 "CINTSLPE" 247931 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 245067 245538 246086 "CHVAR" 247094 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 244227 244781 244809 "CHARZ" 244814 T CHARZ (NIL) -9 NIL 244829 NIL) (-147 243981 244021 244099 "CHARPOL" 244181 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 243025 243612 243640 "CHARNZ" 243687 T CHARNZ (NIL) -9 NIL 243743 NIL) (-145 240931 241679 242032 "CHAR" 242692 T CHAR (NIL) -8 NIL NIL NIL) (-144 240657 240718 240746 "CFCAT" 240857 T CFCAT (NIL) -9 NIL NIL NIL) (-143 239898 240009 240192 "CDEN" 240541 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 235863 239051 239331 "CCLASS" 239638 T CCLASS (NIL) -8 NIL NIL NIL) (-141 235114 235271 235448 "CATEGORY" 235706 T -10 (NIL) -8 NIL NIL NIL) (-140 234687 235033 235081 "CATCTOR" 235086 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 234138 234390 234488 "CATAST" 234609 T CATAST (NIL) -8 NIL NIL NIL) (-138 233614 233859 233951 "CASEAST" 234066 T CASEAST (NIL) -8 NIL NIL NIL) (-137 228752 229771 230515 "CARTEN" 232926 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 227860 228008 228229 "CARTEN2" 228599 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 226176 227010 227267 "CARD" 227623 T CARD (NIL) -8 NIL NIL NIL) (-134 225752 225980 226055 "CAPSLAST" 226121 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 225242 225450 225478 "CACHSET" 225610 T CACHSET (NIL) -9 NIL 225688 NIL) (-132 224698 225020 225048 "CABMON" 225098 T CABMON (NIL) -9 NIL 225154 NIL) (-131 224171 224402 224512 "BYTEORD" 224608 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 223148 223700 223842 "BYTE" 224005 T BYTE (NIL) -8 NIL NIL 224127) (-129 218501 222653 222825 "BYTEBUF" 222996 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 216013 218193 218300 "BTREE" 218427 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 213465 215661 215783 "BTOURN" 215923 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 210810 212907 212948 "BTCAT" 213016 NIL BTCAT (NIL T) -9 NIL 213093 NIL) (-125 210477 210557 210706 "BTCAT-" 210711 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 205842 209723 209751 "BTAGG" 209865 T BTAGG (NIL) -9 NIL 209975 NIL) (-123 205332 205457 205663 "BTAGG-" 205668 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 202330 204610 204825 "BSTREE" 205149 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 201468 201594 201778 "BRILL" 202186 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 198095 200166 200207 "BRAGG" 200856 NIL BRAGG (NIL T) -9 NIL 201114 NIL) (-119 196624 197030 197585 "BRAGG-" 197590 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 189540 195968 196153 "BPADICRT" 196471 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 187855 189477 189522 "BPADIC" 189527 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 187553 187583 187697 "BOUNDZRO" 187819 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 182781 183979 184891 "BOP" 186661 T BOP (NIL) -8 NIL NIL NIL) (-114 180562 180966 181441 "BOP1" 182339 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 180263 180324 180352 "BOOLE" 180463 T BOOLE (NIL) -9 NIL 180545 NIL) (-112 179088 179837 179986 "BOOLEAN" 180134 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 178353 178757 178811 "BMODULE" 178816 NIL BMODULE (NIL T T) -9 NIL 178881 NIL) (-110 174154 178151 178224 "BITS" 178300 T BITS (NIL) -8 NIL NIL NIL) (-109 173575 173694 173834 "BINDING" 174034 T BINDING (NIL) -8 NIL NIL NIL) (-108 167294 173170 173319 "BINARY" 173446 T BINARY (NIL) -8 NIL NIL NIL) (-107 165049 166521 166562 "BGAGG" 166822 NIL BGAGG (NIL T) -9 NIL 166959 NIL) (-106 164880 164912 165003 "BGAGG-" 165008 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 163951 164264 164469 "BFUNCT" 164695 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 162641 162819 163107 "BEZOUT" 163775 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 159113 161493 161823 "BBTREE" 162344 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 158714 158792 158820 "BASTYPE" 158997 T BASTYPE (NIL) -9 NIL 159096 NIL) (-101 158390 158471 158606 "BASTYPE-" 158611 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 157824 157900 158052 "BALFACT" 158301 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 156680 157239 157425 "AUTOMOR" 157669 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 156406 156411 156437 "ATTREG" 156442 T ATTREG (NIL) -9 NIL NIL NIL) (-97 154658 155103 155455 "ATTRBUT" 156072 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 154266 154486 154552 "ATTRAST" 154610 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 153802 153915 153941 "ATRIG" 154142 T ATRIG (NIL) -9 NIL NIL NIL) (-94 153611 153652 153739 "ATRIG-" 153744 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 153242 153428 153454 "ASTCAT" 153459 T ASTCAT (NIL) -9 NIL 153489 NIL) (-92 152969 153028 153147 "ASTCAT-" 153152 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 151121 152745 152833 "ASTACK" 152912 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 149626 149923 150288 "ASSOCEQ" 150803 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 148658 149285 149409 "ASP9" 149533 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 148421 148606 148645 "ASP8" 148650 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 147289 148026 148168 "ASP80" 148310 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 146187 146924 147056 "ASP7" 147188 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 145141 145864 145982 "ASP78" 146100 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 144110 144821 144938 "ASP77" 145055 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 143022 143748 143879 "ASP74" 144010 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 141922 142657 142789 "ASP73" 142921 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 141026 141748 141848 "ASP6" 141853 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139973 140703 140821 "ASP55" 140939 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 138922 139647 139766 "ASP50" 139885 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 138010 138623 138733 "ASP4" 138843 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 137098 137711 137821 "ASP49" 137931 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 135882 136637 136805 "ASP42" 136987 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 134659 135415 135585 "ASP41" 135769 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 133609 134336 134454 "ASP35" 134572 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 133374 133557 133596 "ASP34" 133601 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 133111 133178 133254 "ASP33" 133329 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 132005 132746 132878 "ASP31" 133010 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 131770 131953 131992 "ASP30" 131997 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 131505 131574 131650 "ASP29" 131725 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 131270 131453 131492 "ASP28" 131497 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 131035 131218 131257 "ASP27" 131262 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 130119 130733 130844 "ASP24" 130955 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 129196 129921 130033 "ASP20" 130038 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 128284 128897 129007 "ASP1" 129117 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 127227 127958 128077 "ASP19" 128196 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126964 127031 127107 "ASP12" 127182 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 125816 126563 126707 "ASP10" 126851 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 123670 125660 125751 "ARRAY2" 125756 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 119438 123318 123432 "ARRAY1" 123587 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 118470 118643 118864 "ARRAY12" 119261 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 112757 114672 114747 "ARR2CAT" 117377 NIL ARR2CAT (NIL T T T) -9 NIL 118135 NIL) (-56 110191 110935 111889 "ARR2CAT-" 111894 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 109508 109818 109943 "ARITY" 110084 T ARITY (NIL) -8 NIL NIL NIL) (-54 108284 108436 108735 "APPRULE" 109344 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107935 107983 108102 "APPLYORE" 108230 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 107289 107528 107648 "ANY" 107833 T ANY (NIL) -8 NIL NIL NIL) (-51 106567 106690 106847 "ANY1" 107163 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 104097 105004 105331 "ANTISYM" 106291 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 103589 103804 103900 "ANON" 104019 T ANON (NIL) -8 NIL NIL NIL) (-48 97589 102128 102582 "AN" 103153 T AN (NIL) -8 NIL NIL NIL) (-47 93473 94861 94912 "AMR" 95660 NIL AMR (NIL T T) -9 NIL 96260 NIL) (-46 92585 92806 93169 "AMR-" 93174 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 77030 92502 92563 "ALIST" 92568 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73835 76624 76793 "ALGSC" 76948 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 70391 70945 71552 "ALGPKG" 73275 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 69668 69769 69953 "ALGMFACT" 70277 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 65703 66282 66876 "ALGMANIP" 69252 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55914 65329 65479 "ALGFF" 65636 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 55110 55241 55420 "ALGFACT" 55772 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 54037 54637 54675 "ALGEBRA" 54680 NIL ALGEBRA (NIL T) -9 NIL 54721 NIL) (-37 53755 53814 53946 "ALGEBRA-" 53951 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35692 51592 51644 "ALAGG" 51780 NIL ALAGG (NIL T T) -9 NIL 51941 NIL) (-35 35228 35341 35367 "AHYP" 35568 T AHYP (NIL) -9 NIL NIL NIL) (-34 34159 34407 34433 "AGG" 34932 T AGG (NIL) -9 NIL 35211 NIL) (-33 33593 33755 33969 "AGG-" 33974 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 31399 31822 32227 "AF" 33235 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30879 31124 31214 "ADDAST" 31327 T ADDAST (NIL) -8 NIL NIL NIL) (-30 30147 30406 30562 "ACPLOT" 30741 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18770 27079 27117 "ACFS" 27724 NIL ACFS (NIL T) -9 NIL 27963 NIL) (-28 16797 17287 18049 "ACFS-" 18054 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12901 14830 14856 "ACF" 15735 T ACF (NIL) -9 NIL 16148 NIL) (-26 11605 11939 12432 "ACF-" 12437 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11163 11358 11384 "ABELSG" 11476 T ABELSG (NIL) -9 NIL 11541 NIL) (-24 11030 11055 11121 "ABELSG-" 11126 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10359 10646 10672 "ABELMON" 10842 T ABELMON (NIL) -9 NIL 10954 NIL) (-22 10023 10107 10245 "ABELMON-" 10250 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9357 9729 9755 "ABELGRP" 9827 T ABELGRP (NIL) -9 NIL 9902 NIL) (-20 8820 8949 9165 "ABELGRP-" 9170 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8082 8121 "A1AGG" 8126 NIL A1AGG (NIL T) -9 NIL 8166 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase index b0c434fc..c79f6d78 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,354 +1,281 @@ -(731644 . 3486841617) +(731535 . 3486848001) (((*1 *2 *3 *4) - (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) -(((*1 *2 *3 *4 *4 *3) - (-12 (-5 *3 (-576)) (-5 *4 (-701 (-227))) (-5 *2 (-1056)) - (-5 *1 (-764))))) -(((*1 *1 *1) (-12 (-5 *1 (-1224 *2)) (-4 *2 (-1121))))) -(((*1 *1 *1 *1) (-5 *1 (-876)))) -(((*1 *1 *1 *1) (-5 *1 (-876)))) + (-12 (-5 *3 (-1193 *5)) (-4 *5 (-464)) (-5 *2 (-656 *6)) + (-5 *1 (-550 *5 *6 *4)) (-4 *6 (-374)) (-4 *4 (-13 (-374) (-860))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-971 *5)) (-4 *5 (-464)) (-5 *2 (-656 *6)) + (-5 *1 (-550 *5 *6 *4)) (-4 *6 (-374)) (-4 *4 (-13 (-374) (-860)))))) +(((*1 *2 *1) (-12 (-5 *2 (-656 (-624 *1))) (-4 *1 (-312))))) +(((*1 *2 *2) + (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1023)))))) +(((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-406)))) + ((*1 *2 *1) (-12 (-5 *2 (-656 (-1179))) (-5 *1 (-1218))))) +(((*1 *1 *1) + (-12 (-5 *1 (-1185 *2 *3)) (-14 *2 (-940)) (-4 *3 (-1070))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *4) + (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-171 (-227)))) + (-5 *2 (-1056)) (-5 *1 (-766))))) +(((*1 *2 *3) + (-12 (-5 *3 (-656 (-624 *5))) (-4 *4 (-1121)) (-5 *2 (-624 *5)) + (-5 *1 (-585 *4 *5)) (-4 *5 (-442 *4))))) +(((*1 *2 *1 *3) + (-12 (-5 *3 (-1288 *1)) (-4 *1 (-381 *4 *5)) (-4 *4 (-174)) + (-4 *5 (-1264 *4)) (-5 *2 (-701 *4)))) + ((*1 *2 *1) + (-12 (-4 *1 (-421 *3 *4)) (-4 *3 (-174)) (-4 *4 (-1264 *3)) + (-5 *2 (-701 *3))))) +(((*1 *1 *1) (-12 (-5 *1 (-304 *2)) (-4 *2 (-21)) (-4 *2 (-1238))))) +(((*1 *1 *1 *2) (-12 (-4 *1 (-1165)) (-5 *2 (-142)))) + ((*1 *1 *1 *2) (-12 (-4 *1 (-1165)) (-5 *2 (-145))))) +(((*1 *2 *3 *3) + (-12 (-5 *2 (-1178 (-656 (-576)))) (-5 *1 (-898)) + (-5 *3 (-656 (-576))))) + ((*1 *2 *3) + (-12 (-5 *2 (-1178 (-656 (-576)))) (-5 *1 (-898)) + (-5 *3 (-656 (-576)))))) (((*1 *2 *3) (-12 (-5 *3 - (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) - (|:| -3417 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) - (|:| |relerr| (-227)))) - (-5 *2 - (-2 - (|:| |endPointContinuity| - (-3 (|:| |continuous| "Continuous at the end points") - (|:| |lowerSingular| - "There is a singularity at the lower end point") - (|:| |upperSingular| - "There is a singularity at the upper end point") - (|:| |bothSingular| - "There are singularities at both end points") - (|:| |notEvaluated| - "End point continuity not yet evaluated"))) - (|:| |singularitiesStream| - (-3 (|:| |str| (-1178 (-227))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -3417 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| "The bottom of range is infinite") - (|:| |upperInfinite| "The top of range is infinite") - (|:| |bothInfinite| - "Both top and bottom points are infinite") - (|:| |notEvaluated| "Range not yet evaluated"))))) - (-5 *1 (-571))))) -(((*1 *1 *1 *2 *1) (-12 (-5 *1 (-128 *2)) (-4 *2 (-1121)))) - ((*1 *1 *2) (-12 (-5 *1 (-128 *2)) (-4 *2 (-1121))))) -(((*1 *2 *2 *3) - (-12 (-5 *1 (-691 *2 *3)) (-4 *2 (-1121)) (-4 *3 (-1121))))) -(((*1 *1 *1) (-5 *1 (-1084)))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-1 *7 *7)) - (-5 *5 (-1 (-3 (-2 (|:| -2451 *6) (|:| |coeff| *6)) "failed") *6)) - (-4 *6 (-374)) (-4 *7 (-1264 *6)) - (-5 *2 (-2 (|:| |answer| (-598 (-419 *7))) (|:| |a0| *6))) - (-5 *1 (-586 *6 *7)) (-5 *3 (-419 *7))))) -(((*1 *2 *1) - (-12 (-4 *1 (-699 *3 *4 *5)) (-4 *3 (-1070)) (-4 *4 (-384 *3)) - (-4 *5 (-384 *3)) (-5 *2 (-112)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1074 *3 *4 *5 *6 *7)) (-4 *5 (-1070)) - (-4 *6 (-243 *4 *5)) (-4 *7 (-243 *3 *5)) (-5 *2 (-112))))) -(((*1 *2 *3 *4 *4 *4 *4 *5 *5) - (-12 (-5 *3 (-1 (-390) (-390))) (-5 *4 (-390)) - (-5 *2 - (-2 (|:| -3104 *4) (|:| -3313 *4) (|:| |totalpts| (-576)) - (|:| |success| (-112)))) - (-5 *1 (-801)) (-5 *5 (-576))))) + (-2 (|:| |stiffness| (-390)) (|:| |stability| (-390)) + (|:| |expense| (-390)) (|:| |accuracy| (-390)) + (|:| |intermediateResults| (-390)))) + (-5 *2 (-1056)) (-5 *1 (-315))))) +(((*1 *1 *1) + (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576)))) - (-5 *1 (-432 *3 *2 *4 *5)) (-4 *2 (-13 (-27) (-1223) (-442 *3))) - (-14 *4 (-1197)) (-14 *5 *2))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-464) (-1059 (-576)) (-651 (-576)))) - (-4 *2 (-13 (-27) (-1223) (-442 *3) (-10 -8 (-15 -3569 ($ *4))))) - (-4 *4 (-860)) - (-4 *5 - (-13 (-1266 *2 *4) (-374) (-1223) - (-10 -8 (-15 -2774 ($ $)) (-15 -4160 ($ $))))) - (-5 *1 (-434 *3 *2 *4 *5 *6 *7)) (-4 *6 (-1004 *5)) - (-14 *7 (-1197))))) + (-12 (-5 *2 (-962 *3)) (-4 *3 (-13 (-374) (-1223) (-1023))) + (-5 *1 (-178 *3))))) (((*1 *2 *3) - (-12 (-4 *4 (-805)) - (-4 *5 (-13 (-861) (-10 -8 (-15 -4171 ((-1197) $))))) (-4 *6 (-568)) - (-5 *2 (-2 (|:| -2386 (-971 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(-656 (-1197))) (-14 *6 (-1201)))) ((*1 *1 *2) (-12 (-5 *2 (-340)) (-5 *1 (-410 *3 *4 *5 *6)) (-14 *3 (-1197)) - (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2916 "void"))) + (-14 *4 (-3 (|:| |fst| (-446)) (|:| -2435 "void"))) (-14 *5 (-656 (-1197))) (-14 *6 (-1201)))) ((*1 *1 *2) (-12 (-5 *2 (-341 *4)) (-4 *4 (-13 (-861) (-21))) @@ -5490,14 +1911,14 @@ ((*1 *1 *2) (-12 (-5 *2 (-446)) (-5 *1 (-449)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1201)) (|:| -4350 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1201)) (|:| -3542 (-656 (-340))))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-452)))) ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 (-5 *2 (-1288 (-711))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1201)) (|:| -4350 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1201)) (|:| -3542 (-656 (-340))))) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-340)) (-4 *1 (-453)))) ((*1 *1 *2) (-12 (-5 *2 (-656 (-340))) (-4 *1 (-453)))) @@ -5566,7 +1987,7 @@ (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) ((*1 *1 *2) - (-12 (-5 *2 (-656 (-2 (|:| -1715 *3) (|:| -3684 *4)))) + (-12 (-5 *2 (-656 (-2 (|:| -2860 *3) (|:| -1619 *4)))) (-4 *3 (-1070)) (-4 *4 (-738)) (-5 *1 (-747 *3 *4)))) ((*1 *1 *2) (-12 (-5 *2 (-576)) (-4 *1 (-775)))) ((*1 *1 *2) @@ -5575,25 +1996,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) - (|:| -3417 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -2015 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| |mdnia| (-2 (|:| |fn| (-326 (-227))) - (|:| -3417 (-656 (-1115 (-855 (-227))))) + (|:| -2015 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))))) (-5 *1 (-781)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-227))) - (|:| -3417 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) + (|:| -2015 (-656 (-1115 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *1 (-781)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) - (|:| -3417 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -2015 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *1 (-781)))) ((*1 *2 *3) (-12 (-5 *2 (-786)) (-5 *1 (-785 *3)) (-4 *3 (-1238)))) @@ -5611,23 +2032,23 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) + (-2 (|:| |fn| (-326 (-227))) (|:| -3651 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) - (|:| -3539 (-656 (-227))))))) + (|:| -3651 (-656 (-227))))))) (-5 *1 (-853)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3539 (-656 (-227))))) + (-2 (|:| |lfn| (-656 (-326 (-227)))) (|:| -3651 (-656 (-227))))) (-5 *1 (-853)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |fn| (-326 (-227))) (|:| -3539 (-656 (-227))) + (-2 (|:| |fn| (-326 (-227))) 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*4 (-1 *5 *5)) + (-4 *5 (-374)) (-5 *1 (-999 *5))))) +(((*1 *2 *1 *1) + (-12 (-5 *2 (-656 (-304 *4))) (-5 *1 (-639 *3 *4 *5)) (-4 *3 (-861)) + (-4 *4 (-13 (-174) (-729 (-419 (-576))))) (-14 *5 (-940))))) +(((*1 *1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-541)))) + ((*1 *1 *2) (-12 (-5 *2 (-400)) (-5 *1 (-541))))) (((*1 *2 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *3 (-804)) (-4 *2 (-1070)))) ((*1 *2 *1) (-12 (-4 *2 (-1070)) (-5 *1 (-50 *2 *3)) (-14 *3 (-656 (-1197))))) @@ -13253,13 +15223,13 @@ ((*1 *2 *1) (-12 (-4 *1 (-393 *2 *3)) (-4 *3 (-1121)) (-4 *2 (-1070)))) ((*1 *2 *1) - (-12 (-14 *3 (-656 (-1197))) (-4 *5 (-243 (-3502 *3) (-783))) + (-12 (-14 *3 (-656 (-1197))) (-4 *5 (-243 (-1970 *3) (-783))) (-14 *6 - (-1 (-112) (-2 (|:| -3223 *4) (|:| -2508 *5)) - (-2 (|:| -3223 *4) (|:| -2508 *5)))) + (-1 (-112) (-2 (|:| -2413 *4) (|:| -3235 *5)) + (-2 (|:| -2413 *4) (|:| -3235 *5)))) (-4 *2 (-174)) (-5 *1 (-473 *3 *2 *4 *5 *6 *7)) (-4 *4 (-861)) (-4 *7 (-968 *2 *5 (-878 *3))))) - ((*1 *2 *1) (-12 (-4 *1 (-521 *2 *3)) (-4 *3 (-861)) (-4 *2 (-1121)))) + ((*1 *2 *1) (-12 (-4 *1 (-521 *2 *3)) (-4 *3 (-864)) (-4 *2 (-102)))) ((*1 *2 *1) (-12 (-4 *2 (-568)) (-5 *1 (-635 *2 *3)) (-4 *3 (-1264 *2)))) ((*1 *2 *1) (-12 (-4 *1 (-720 *2)) (-4 *2 (-1070)))) @@ -13273,41 +15243,75 @@ ((*1 *1 *1 *2) (-12 (-4 *1 (-1086 *3 *4 *2)) (-4 *3 (-1070)) (-4 *4 (-805)) (-4 *2 (-861))))) -(((*1 *2 *1) - (-12 (-4 *3 (-13 (-374) (-148))) - (-5 *2 (-656 (-2 (|:| -2508 (-783)) (|:| -2396 *4) (|:| |num| *4)))) - (-5 *1 (-411 *3 *4)) (-4 *4 (-1264 *3))))) -(((*1 *2 *1 *2) - (-12 (|has| *1 (-6 -4465)) (-4 *1 (-1276 *2)) (-4 *2 (-1238))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1288 (-1288 *4))) (-4 *4 (-1070)) (-5 *2 (-701 *4)) - (-5 *1 (-1050 *4))))) -(((*1 *2 *3 *3 *3) - (-12 (-5 *2 (-656 (-576))) (-5 *1 (-1131)) (-5 *3 (-576))))) +(((*1 *2 *3) (-12 (-5 *3 (-656 *2)) (-5 *1 (-1212 *2)) (-4 *2 (-374))))) (((*1 *2 *1 *1) - (-12 (-4 *3 (-374)) (-4 *3 (-1070)) - (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -4128 *1))) - (-4 *1 (-866 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-686 *3)) (-4 *3 (-1238)) (-5 *2 (-112))))) -(((*1 *2 *1) (-12 (-4 *1 (-401)) (-5 *2 (-112))))) + (-12 (-5 *2 (-2 (|:| -2940 *3) (|:| |coef1| (-794 *3)))) + (-5 *1 (-794 *3)) (-4 *3 (-568)) (-4 *3 (-1070))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-227)) (-5 *4 (-576)) (-5 *2 (-1056)) (-5 *1 (-770))))) +(((*1 *2 *2 *3 *4 *5) + (-12 (-5 *2 (-656 *9)) (-5 *3 (-1 (-112) *9)) + (-5 *4 (-1 (-112) *9 *9)) (-5 *5 (-1 *9 *9 *9)) + (-4 *9 (-1086 *6 *7 *8)) (-4 *6 (-568)) (-4 *7 (-805)) + (-4 *8 (-861)) (-5 *1 (-998 *6 *7 *8 *9))))) (((*1 *2 *2) - (-12 (-4 *3 (-568)) (-5 *1 (-285 *3 *2)) - (-4 *2 (-13 (-442 *3) (-1023)))))) -(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-446)))) - ((*1 *2 *3) - (-12 (-5 *2 (-112)) (-5 *1 (-581 *3)) (-4 *3 (-1059 (-576))))) - ((*1 *2 *1) - (-12 (-4 *1 (-1124 *3 *4 *5 *6 *7)) (-4 *3 (-1121)) (-4 *4 (-1121)) - (-4 *5 (-1121)) (-4 *6 (-1121)) (-4 *7 (-1121)) (-5 *2 (-112))))) + (-12 (-4 *3 (-464)) (-5 *1 (-1229 *3 *2)) + (-4 *2 (-13 (-442 *3) (-1223)))))) +(((*1 *1 *1) + (-12 (-5 *1 (-607 *2)) (-4 *2 (-38 (-419 (-576)))) (-4 *2 (-1070))))) +(((*1 *2 *3) + (|partial| -12 + (-5 *3 + (-2 (|:| |var| (-1197)) (|:| |fn| (-326 (-227))) + (|:| -2015 (-1115 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| |relerr| (-227)))) + (-5 *2 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1178 (-227))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -2015 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated"))))) + (-5 *1 (-571))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-1193 *2)) (-4 *2 (-968 (-419 (-971 *6)) *5 *4)) + (-5 *1 (-744 *5 *4 *6 *2)) (-4 *5 (-805)) + (-4 *4 (-13 (-861) (-10 -8 (-15 -1556 ((-1197) $))))) + (-4 *6 (-568))))) +(((*1 *2) (-12 (-5 *2 (-1179)) (-5 *1 (-246))))) +(((*1 *2 *3 *1) + (-12 (-5 *3 (-446)) + (-5 *2 + (-656 + (-3 (|:| -4149 (-1197)) + (|:| -1425 (-656 (-3 (|:| S (-1197)) (|:| P (-971 (-576))))))))) + (-5 *1 (-1201))))) +(((*1 *2 *1) (-12 (-5 *2 (-112)) (-5 *1 (-1202))))) (((*1 *1 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1070)) (-4 *3 (-804)))) ((*1 *2 *1) (-12 (-4 *1 (-393 *3 *2)) (-4 *3 (-1070)) (-4 *2 (-1121)))) ((*1 *2 *1) (-12 (-14 *3 (-656 (-1197))) (-4 *4 (-174)) - (-4 *6 (-243 (-3502 *3) (-783))) + (-4 *6 (-243 (-1970 *3) (-783))) (-14 *7 - (-1 (-112) (-2 (|:| -3223 *5) (|:| -2508 *6)) - (-2 (|:| -3223 *5) (|:| -2508 *6)))) + (-1 (-112) (-2 (|:| -2413 *5) (|:| -3235 *6)) + (-2 (|:| -2413 *5) (|:| -3235 *6)))) (-5 *2 (-725 *5 *6 *7)) (-5 *1 (-473 *3 *4 *5 *6 *7 *8)) (-4 *5 (-861)) (-4 *8 (-968 *4 *6 (-878 *3))))) ((*1 *2 *1) @@ -13316,136 +15320,124 @@ ((*1 *1 *1) (-12 (-4 *1 (-994 *2 *3 *4)) (-4 *2 (-1070)) (-4 *3 (-804)) (-4 *4 (-861))))) -(((*1 *2) - (-12 - (-5 *2 (-2 (|:| -2326 (-656 (-1197))) (|:| -4316 (-656 (-1197))))) - (-5 *1 (-1240))))) -(((*1 *2 *2 *2) - (-12 (-4 *3 (-374)) (-5 *1 (-778 *2 *3)) (-4 *2 (-720 *3)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-866 *2)) (-4 *2 (-1070)) (-4 *2 (-374))))) -(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4) - (-12 (-5 *3 (-1179)) (-5 *4 (-576)) (-5 *5 (-701 (-227))) - (-5 *2 (-1056)) (-5 *1 (-766))))) -(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-264))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *5 (-1197)) - (-4 *6 (-13 (-317) (-1059 (-576)) (-651 (-576)) (-148))) - (-4 *4 (-13 (-29 *6) (-1223) (-978))) - (-5 *2 (-2 (|:| |particular| *4) (|:| -2675 (-656 *4)))) - (-5 *1 (-813 *6 *4 *3)) (-4 *3 (-668 *4))))) -(((*1 *1 *1 *2) - 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*3 (-1070)) + (-5 *2 (-2 (|:| -3039 *1) (|:| -4266 *1))) (-4 *1 (-866 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-568)) (-4 *5 (-1070)) + (-5 *2 (-2 (|:| -3039 *3) (|:| -4266 *3))) (-5 *1 (-867 *5 *3)) + (-4 *3 (-866 *5))))) +(((*1 *1 *1) (-12 (-4 *1 (-437 *2)) (-4 *2 (-1121)) (-4 *2 (-379))))) +(((*1 *2 *1 *3 *4) + (-12 (-5 *3 (-940)) (-5 *4 (-1179)) (-5 *2 (-1293)) (-5 *1 (-1289))))) (((*1 *2 *3) (-12 (-5 *3 (-1197)) (-4 *4 (-13 (-464) (-1059 (-576)) (-651 (-576)))) (-5 *2 (-52)) @@ -13560,31 +15558,28 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-419 (-576))) (-4 *4 (-1070)) (-4 *1 (-1271 *4 *3)) (-4 *3 (-1248 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-576)) (-5 *1 (-876))))) -(((*1 *1 *1 *2) (-12 (-4 *1 (-732)) (-5 *2 (-940)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-734)) (-5 *2 (-783))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-656 (-326 (-227)))) (-5 *4 (-783)) - (-5 *2 (-701 (-227))) (-5 *1 (-276))))) -(((*1 *2 *1) (-12 (-5 *2 (-656 (-1197))) (-5 *1 (-1201))))) -(((*1 *2 *3) - (-12 (-5 *3 (-656 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\ No newline at end of file |