diff options
Diffstat (limited to 'src')
| -rw-r--r-- | src/ChangeLog | 8 | ||||
| -rw-r--r-- | src/algebra/catdef.spad.pamphlet | 8 | ||||
| -rw-r--r-- | src/share/algebra/browse.daase | 642 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 1514 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1328 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 9062 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 31604 |
7 files changed, 22081 insertions, 22085 deletions
diff --git a/src/ChangeLog b/src/ChangeLog index 06375070..a5e18173 100644 --- a/src/ChangeLog +++ b/src/ChangeLog @@ -1,4 +1,10 @@ -2010-06-18 Gabriel Dos Reis <gdr@cse.tamu.edu> +2010-06-18 Gabriel Dos Reis <gdr@cs.tamu.edu> + + * algebra/catdef.spad.pamphlet (LeftLinearSet): Remove declaration + for 0 and zero? + (RightLinearSet): Likewise. + +2010-06-18 Gabriel Dos Reis <gdr@cs.tamu.edu> * algebra/catdef.spad.pamphlet (DifferentialModule): Tidy. (DifferentialModuleExtension): Likewise. diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet index f5ecae65..4e077bec 100644 --- a/src/algebra/catdef.spad.pamphlet +++ b/src/algebra/catdef.spad.pamphlet @@ -24,10 +24,6 @@ ++ by elements in the semigroup \spad{S}. ++ See Also: RightLinearSet. LeftLinearSet(S: SemiGroup): Category == SetCategory with - 0: % - ++ \spad{0} represents the origin of the linear set - zero?: % -> Boolean - ++ \spad{zero? x} holds if \spad{x} is the origin. *: (S,%) -> % ++ \spad{s*x} is the left-dilation of \spad{x} by \spad{s}. @@ -43,10 +39,6 @@ LeftLinearSet(S: SemiGroup): Category == SetCategory with ++ by elements in the semigroup \spad{S}. ++ See Also: LeftLinearSet. RightLinearSet(S: SemiGroup): Category == SetCategory with - 0: % - ++ \spad{0} represents the origin of the linear set - zero?: % -> Boolean - ++ \spad{zero? x} holds if \spad{x} is the origin. *: (%,S) -> % ++ \spad{x*s} is the right-dilation of \spad{x} by \spad{s}. diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 244761b0..1b83efa7 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2279911 . 3485863922) +(2279297 . 3485898200) (-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 -3003) +(-32 R -1392) ((|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 -1057) (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 -3003 UP UPUP -2703) +(-40 -1392 UP UPUP -2030) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4455 |has| (-419 |#2|) (-374)) (-4460 |has| (-419 |#2|) (-374)) (-4454 |has| (-419 |#2|) (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-3739 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-3739 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3739 (-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)))) (-3739 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-3739 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-3739 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (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 -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) -(-41 R -3003) +((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2825 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2825 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2825 (-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)))) (-2825 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2825 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2825 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (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 -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) +(-41 R -1392) ((|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 -1057) (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."))) ((-4462 . T) (-4463 . T)) -((-3739 (-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|))))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|))))))) +((-2825 (-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|))))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|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| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -3003) +(-54 |Base| R -1392) ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}\\spad{rn} to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}\\spad{rn} is applicable to the expression."))) NIL NIL @@ -167,64 +167,64 @@ NIL (-59 S) ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|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}"))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) -(-61 -1811) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +(-61 -2055) ((|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 -1811) +(-62 -2055) ((|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 -1811) +(-63 -2055) ((|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 -1811) +(-64 -2055) ((|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 -1811) +(-65 -2055) ((|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 -1811) +(-66 -2055) ((|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 -1811) +(-67 -2055) ((|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 -1811) +(-68 -2055) ((|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 -1811) +(-69 -2055) ((|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 -1811) +(-70 -2055) ((|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 -1811) +(-71 -2055) ((|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 -1811) +(-72 -2055) ((|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 -1811) +(-73 -2055) ((|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 -1811) +(-74 -2055) ((|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 -1811) +(-77 -2055) ((|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 -1811) +(-78 -2055) ((|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 -1811) +(-79 -2055) ((|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 -1811) +(-80 -2055) ((|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 -1811) +(-81 -2055) ((|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 -1811) +(-82 -2055) ((|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 -1811) +(-83 -2055) ((|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 -1811) +(-84 -2055) ((|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 -1811) +(-85 -2055) ((|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 -1811) +(-86 -2055) ((|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 -1811) +(-87 -2055) ((|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 -1811) +(-88 -2055) ((|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 -1811) +(-89 -2055) ((|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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-3739 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-2825 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|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 -3003 UP) +(-116 -1392 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}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-117 |#1|) (QUOTE (-926))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1041))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (-3739 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-862)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1171))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-237))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1196)) (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))) (|HasCategory| (-117 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-926)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))))) +((|HasCategory| (-117 |#1|) (QUOTE (-926))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-117 |#1|) (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-148))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-117 |#1|) (QUOTE (-1041))) (|HasCategory| (-117 |#1|) (QUOTE (-832))) (-2825 (|HasCategory| (-117 |#1|) (QUOTE (-832))) (|HasCategory| (-117 |#1|) (QUOTE (-862)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-1171))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-117 |#1|) (QUOTE (-237))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-117 |#1|) (QUOTE (-238))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-117 |#1|) (LIST (QUOTE -526) (QUOTE (-1196)) (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))) (|HasCategory| (-117 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-117 |#1|) (QUOTE (-926)))) (|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"))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-3739 (-12 (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1119)))) (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) +((-2825 (-12 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130)))))) (-2825 (-12 (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -319) (QUOTE (-130))))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-130) (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1119)))) (|HasCategory| (-130) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-130) (QUOTE (-1119))) (|HasCategory| (-130) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-130) (QUOTE (-1119))) (|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") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative."))) (((-4464 "*") . T)) NIL -(-136 |minix| -2809 S T$) +(-136 |minix| -4137 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL -(-137 |minix| -2809 R) +(-137 |minix| -4137 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\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}."))) ((-4462 . T) (-4452 . T) (-4463 . T)) -((-3739 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) +((-2825 (-12 (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-145) (QUOTE (-379))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|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."))) ((-4459 . T)) NIL -(-149 -3003 UP UPUP) +(-149 -1392 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 -3003) +(-159 R -1392) ((|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 (-926))) (|HasCategory| |#2| (QUOTE (-557))) (|HasCategory| |#2| (QUOTE (-1021))) (|HasCategory| |#2| (QUOTE (-1222))) (|HasCategory| |#2| (QUOTE (-1079))) (|HasCategory| |#2| (QUOTE (-1041))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4458)) (|HasAttribute| |#2| (QUOTE -4461)) (|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})"))) -((-4455 -3739 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-926)))) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4458 |has| |#1| (-6 -4458)) (-4461 |has| |#1| (-6 -4461)) (-3477 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-4455 -2825 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-926)))) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4458 |has| |#1| (-6 -4458)) (-4461 |has| |#1| (-6 -4461)) (-3513 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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}."))) -((-4455 -3739 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-926)))) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4458 |has| |#1| (-6 -4458)) (-4461 |has| |#1| (-6 -4461)) (-3477 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-3739 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-3739 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-360)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-926))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-926)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-926))))) (-3739 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1222)))) (|HasCategory| |#1| (QUOTE (-1222))) (|HasCategory| |#1| (QUOTE (-1041))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-3739 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 (-1079))) (-12 (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-1222)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasAttribute| |#1| (QUOTE -4458)) (|HasAttribute| |#1| (QUOTE -4461)) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196))))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-360))))) +((-4455 -2825 (|has| |#1| (-568)) (-12 (|has| |#1| (-317)) (|has| |#1| (-926)))) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4458 |has| |#1| (-6 -4458)) (-4461 |has| |#1| (-6 -4461)) (-3513 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2825 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-360)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-926))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-926)))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-926))))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1222)))) (|HasCategory| |#1| (QUOTE (-1222))) (|HasCategory| |#1| (QUOTE (-1041))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-568)))) (-2825 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 (-1079))) (-12 (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-1222)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-237)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (-12 (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasAttribute| |#1| (QUOTE -4458)) (|HasAttribute| |#1| (QUOTE -4461)) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196))))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-926)))) (|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| $) (|Identifier|)) "\\spad{findConstructor(s)} attempts to find a constructor named \\spad{s}. If successful,{} returns that constructor; otherwise,{} returns \\spad{nothing}."))) NIL NIL -(-190 R -3003) +(-190 R -1392) ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -796,23 +796,23 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain implements a simple view of a database whose fields are} indexed by symbols")) (- (($ $ $) "\\spad{db1-db2} returns the difference of databases \\spad{db1} and \\spad{db2} \\spadignore{i.e.} consisting of elements in \\spad{db1} but not in \\spad{db2}")) (+ (($ $ $) "\\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 -3003 UP UPUP R) +(-217 -1392 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 -3003 FP) +(-218 -1392 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-3739 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-2825 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|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|) $) "\\spad{head(d)} returns the head of the definition \\spad{`d'}. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) NIL NIL -(-221 R -3003) +(-221 R -1392) ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) NIL NIL @@ -827,18 +827,18 @@ NIL (-224 S) ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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}."))) ((-4459 . T)) NIL -(-226 R -3003) +(-226 R -1392) ((|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}."))) -((-3468 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-3501 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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}"))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4464 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4464 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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 -2809 R) +(-242 S -4137 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 (-862))) (|HasAttribute| |#3| (QUOTE -4459)) (|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 (-1068))) (|HasCategory| |#3| (QUOTE (-1119)))) -(-243 -2809 R) +(-243 -4137 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"))) ((-4456 |has| |#2| (-1068)) (-4457 |has| |#2| (-1068)) (-4459 |has| |#2| (-6 -4459)) (-4462 . T)) NIL -(-244 -2809 A B) +(-244 -4137 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 -2809 R) +(-245 -4137 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."))) ((-4456 |has| |#2| (-1068)) (-4457 |has| |#2| (-1068)) (-4459 |has| |#2| (-6 -4459)) (-4462 . 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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}"))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-251 M) ((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|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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(|reflect| (($ (|ConstructorCall| (|DomainConstructor|))) "\\spad{reflect cc} returns the domain object designated by the ConstructorCall syntax `cc'. The constructor implied by `cc' must be known to the system since it is instantiated.")) (|reify| (((|ConstructorCall| (|DomainConstructor|)) $) "\\spad{reify(d)} returns the abstract syntax for the domain \\spad{`x'}.")) (|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Create: October 18,{} 2007. Date Last Updated: December 20,{} 2008. Basic Operations: coerce,{} reify Related Constructors: Type,{} Syntax,{} OutputForm Also See: Type,{} ConstructorCall") (((|DomainConstructor|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object \\spad{`d'}."))) 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(|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576)))))) (-2825 (-12 (|HasCategory| |#3| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-379))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-738))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-805))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-862))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576)))))) (|HasCategory| (-576) (QUOTE (-862))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -651) (QUOTE (-576))))) (-2825 (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -915) (QUOTE (-1196))))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1196)))))) (-2825 (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-237))) (|HasCategory| |#3| (QUOTE (-1068))))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-2825 (|HasCategory| |#3| (QUOTE (-1068))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576)))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1119)))) (-2825 (|HasAttribute| |#3| (QUOTE -4459)) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -915) (QUOTE (-1196)))))) (-12 (|HasCategory| |#3| (QUOTE (-237))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1196))))) (|HasCategory| |#3| (QUOTE (-862))) (|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 (-874)))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|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"))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#3| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -905) (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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-926))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#3| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#3| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#3| (LIST (QUOTE -626) (LIST (QUOTE -905) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|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 -3003) +(-285 R -1392) ((|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 -3003) +(-286 R -1392) ((|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| -1880 -3343 |exactQuo|) +(-299 S R |Mod| -2156 -4181 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -1146,21 +1146,21 @@ NIL NIL (-304 S) ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the \\spad{lhs} of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|)))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|)))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) (-306) ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. 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 -3003 S) +(-307 -1392 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 -3003) +(-308 E -1392) ((|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 -3003) +(-320 -1392) ((|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))}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-926))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-1041))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-832))) (-3739 (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-832))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-862)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-1171))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| 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(LIST (QUOTE -1273) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -319) (LIST (QUOTE -1273) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (LIST (QUOTE -296) (LIST (QUOTE -1273) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (LIST (QUOTE -1273) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-317))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-557))) (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-862))) (-12 (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-926))) (|HasCategory| $ (QUOTE (-146)))) (-2825 (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-146))) (-12 (|HasCategory| (-1273 |#1| |#2| |#3| |#4|) (QUOTE (-926))) (|HasCategory| $ (QUOTE (-146)))))) (-324 R S) ((|constructor| (NIL "Lifting of 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.")) 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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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . 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(|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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) -(-338 S -3003) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +(-338 S -1392) ((|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 -3003) +(-339 -1392) ((|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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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 -3003 UP UPUP R) +(-345 S -1392 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 -3003 UP UPUP R) +(-346 -1392 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 -3003 UP UPUP R) +(-347 -1392 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 -3003 UP UPUP) +(-352 S -1392 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 -3003 UP UPUP) +(-353 -1392 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."))) ((-4455 |has| (-419 |#2|) (-374)) (-4460 |has| (-419 |#2|) (-374)) (-4454 |has| (-419 |#2|) (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| (-927 |#1|) (QUOTE (-146))) (|HasCategory| (-927 |#1|) (QUOTE (-379)))) (|HasCategory| (-927 |#1|) (QUOTE (-148))) (|HasCategory| (-927 |#1|) (QUOTE (-379))) (|HasCategory| (-927 |#1|) (QUOTE (-146)))) +((-2825 (|HasCategory| (-927 |#1|) (QUOTE (-146))) (|HasCategory| (-927 |#1|) (QUOTE (-379)))) (|HasCategory| (-927 |#1|) (QUOTE (-148))) (|HasCategory| (-927 |#1|) (QUOTE (-379))) (|HasCategory| (-927 |#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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2825 (|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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2825 (|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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-361 R UP -3003) +(-361 R UP -1392) ((|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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| (-927 |#1|) (QUOTE (-146))) (|HasCategory| (-927 |#1|) (QUOTE (-379)))) (|HasCategory| (-927 |#1|) (QUOTE (-148))) (|HasCategory| (-927 |#1|) (QUOTE (-379))) (|HasCategory| (-927 |#1|) (QUOTE (-146)))) +((-2825 (|HasCategory| (-927 |#1|) (QUOTE (-146))) (|HasCategory| (-927 |#1|) (QUOTE (-379)))) (|HasCategory| (-927 |#1|) (QUOTE (-148))) (|HasCategory| (-927 |#1|) (QUOTE (-379))) (|HasCategory| (-927 |#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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2825 (|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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2825 (|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}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| (-927 |#1|) (QUOTE (-146))) (|HasCategory| (-927 |#1|) (QUOTE (-379)))) (|HasCategory| (-927 |#1|) (QUOTE (-148))) (|HasCategory| (-927 |#1|) (QUOTE (-379))) (|HasCategory| (-927 |#1|) (QUOTE (-146)))) +((-2825 (|HasCategory| (-927 |#1|) (QUOTE (-146))) (|HasCategory| (-927 |#1|) (QUOTE (-379)))) (|HasCategory| (-927 |#1|) (QUOTE (-148))) (|HasCategory| (-927 |#1|) (QUOTE (-379))) (|HasCategory| (-927 |#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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) -(-367 -3003 GF) +((-2825 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +(-367 -1392 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 -3003 FP FPP) +(-369 -1392 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}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-379)))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-146)))) +((-2825 (|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}."))) -((-4445 . T) (-4453 . T) (-3468 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-4445 . T) (-4453 . T) (-3501 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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 -3003 UP UPUP R) +(-404 -1392 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 -1811 |returnType| -4200 |symbols|) +(-410 -2055 |returnType| -1567 |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 -3003 UP) +(-411 -1392 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| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}"))) NIL NIL @@ -1594,7 +1594,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4445)) (|HasAttribute| |#1| (QUOTE -4453))) (-416) ((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\\spad{\"+\"}) does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\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\"."))) -((-3468 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-3501 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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."))) ((-4449 -12 (|has| |#1| (-6 -4460)) (|has| |#1| (-464)) (|has| |#1| (-6 -4449))) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1041))) (|HasCategory| |#1| (QUOTE (-832))) (-3739 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-862)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1171))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 -4460)) (|HasAttribute| |#1| (QUOTE -4449)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-926))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548))))) (|HasCategory| |#1| (QUOTE (-1041))) (|HasCategory| |#1| (QUOTE (-832))) (-2825 (|HasCategory| |#1| (QUOTE (-832))) (|HasCategory| |#1| (QUOTE (-862)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1171))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-840))))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 -4460)) (|HasAttribute| |#1| (QUOTE -4449)) (|HasCategory| |#1| (QUOTE (-464)))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|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| $)) "\\spad{basis()} returns the fixed \\spad{R}-module basis."))) NIL @@ -1628,11 +1628,11 @@ NIL ((|constructor| (NIL "\\indented{1}{Lifting of morphisms to fractional ideals.} Author: Manuel Bronstein Date Created: 1 Feb 1989 Date Last Updated: 27 Feb 1990 Keywords: ideal,{} algebra,{} module.")) (|map| (((|FractionalIdeal| |#5| |#6| |#7| |#8|) (|Mapping| |#5| |#1|) (|FractionalIdeal| |#1| |#2| |#3| |#4|)) "\\spad{map(f,i)} \\undocumented{}"))) NIL NIL -(-425 R -3003 UP A) +(-425 R -1392 UP A) ((|constructor| (NIL "Fractional ideals in a framed algebra.")) (|randomLC| ((|#4| (|NonNegativeInteger|) (|Vector| |#4|)) "\\spad{randomLC(n,x)} should be local but conditional.")) (|minimize| (($ $) "\\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)}."))) ((-4459 . T)) NIL -(-426 R -3003 UP A |ibasis|) +(-426 R -1392 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 -1057) (|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."))) ((-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1241))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1241)))) (|HasCategory| |#1| (QUOTE (-1041))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-464)))) +((|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -319) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -296) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-1241))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-1241)))) (|HasCategory| |#1| (QUOTE (-1041))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) ((-4462 . T) (-4452 . T) (-4463 . T)) NIL -(-438 R -3003) +(-438 R -1392) ((|constructor| (NIL "\\spadtype{FunctionSpaceComplexIntegration} provides functions for the indefinite integration of complex-valued functions.")) (|complexIntegrate| ((|#2| |#2| (|Symbol|)) "\\spad{complexIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable.")) (|internalIntegrate0| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate0 should} be a local function,{} but is conditional.")) (|internalIntegrate| (((|IntegrationResult| |#2|) |#2| (|Symbol|)) "\\spad{internalIntegrate(f, x)} returns the integral of \\spad{f(x)dx} where \\spad{x} is viewed as a complex variable."))) NIL NIL @@ -1688,7 +1688,7 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: James Davenport} Date Created: 17 April 1992 Date Last Updated: Basic Functions: Related Constructors: Also See: AMS Classifications: Keywords: References: Description:")) (|makeCos| (($ |#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"))) ((-4449 -12 (|has| |#1| (-6 -4449)) (|has| |#2| (-6 -4449))) (-4456 . T) (-4457 . T) (-4459 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4449)) (|HasAttribute| |#2| (QUOTE -4449)))) -(-440 R -3003) +(-440 R -1392) ((|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 -1057) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (QUOTE (-1068))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-485))) (|HasCategory| |#2| (QUOTE (-1131))) (|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}."))) -((-4459 -3739 (|has| |#1| (-1068)) (|has| |#1| (-485))) (-4457 |has| |#1| (-174)) (-4456 |has| |#1| (-174)) ((-4464 "*") |has| |#1| (-568)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-568)) (-4454 |has| |#1| (-568))) +((-4459 -2825 (|has| |#1| (-1068)) (|has| |#1| (-485))) (-4457 |has| |#1| (-174)) (-4456 |has| |#1| (-174)) ((-4464 "*") |has| |#1| (-568)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-568)) (-4454 |has| |#1| (-568))) NIL -(-443 R -3003) +(-443 R -1392) ((|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 -3003) +(-444 R -1392) ((|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 -3003) +(-445 R -1392) ((|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 -3003 UP) +(-447 R -1392 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 -1057) (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 -3003) +(-455 R UP -1392) ((|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"))) (((-4464 "*") |has| |#2| (-174)) (-4455 |has| |#2| (-568)) (-4460 |has| |#2| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#2| (QUOTE (-926))) (-3739 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-3739 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-876 |#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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4460)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-926))) (-2825 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2825 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-876 |#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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4460)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-146))))) (-467 R BP) ((|constructor| (NIL "\\indented{1}{Author : \\spad{P}.Gianni.} January 1990 The equation \\spad{Af+Bg=h} and its generalization to \\spad{n} polynomials is solved for solutions over the \\spad{R},{} euclidean domain. 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| -3003 R) +(-483 |lv| -1392 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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3739 (|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 -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3739 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -1850) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2825 (|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 -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -3247) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) (-487 |Key| |Entry| |Tbl| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) 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T)) -((-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|)))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119)))) +((-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|)))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119)))) (-488 R E V P) ((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. 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)}"))) ((-4463 . T) (-4462 . 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."))) ((-4462 . T) (-4463 . 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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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(|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196))))) (|HasCategory| |#2| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-132))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|))))) (-495) ((|constructor| (NIL "This domain represents the header of a definition.")) (|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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) -(-497 -3003 UP UPUP R) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +(-497 -1392 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-3739 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-2825 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|HasCategory| (-576) (QUOTE (-146))))) (-500 A S) ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. 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 -3003 UP |AlExt| |AlPol|) +(-506 -1392 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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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 -3003) +(-511 R UP -1392) ((|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| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -1992,7 +1992,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}\\spad{'s}.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}\\spad{qn}."))) NIL NIL -(-516 -3003 |Expon| |VarSet| |DPoly|) +(-516 -1392 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-1196))))) @@ -2043,7 +2043,7 @@ NIL (-528 S |mn|) ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan July/87,{} modified \\spad{SMW} June/91} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|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}"))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((-3739 (|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)))) +((-2825 (|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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4464 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4464 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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 -3003 |Par|) +(-544 K -1392 |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 -3003 |Par|) +(-550 K -1392 |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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|)))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) -(-563 R -3003) +((-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|)))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) +(-563 R -1392) ((|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 -3003 UP UPUP R) +(-564 R0 -1392 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."))) -((-3468 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-3501 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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."))) ((-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-569 R -3003) +(-569 R -1392) ((|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 -3003 L) +(-572 R -1392 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 -3003 UP UPUP R) +(-574 -1392 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 -3003 UP) +(-575 -1392 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 -3003 L) +(-578 R -1392 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 -3003) +(-579 R -1392) ((|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 -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1158)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-641))))) -(-580 -3003 UP) +(-580 -1392 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 -3003) +(-582 -1392) ((|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."))) -((-3468 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-3501 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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 -3003) +(-585 R -1392) ((|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 -905) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-294))) (|HasCategory| |#2| (QUOTE (-641))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-294)))) (|HasCategory| |#1| (QUOTE (-568)))) -(-586 -3003 UP) +(-586 -1392 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 -3003) +(-587 R -1392) ((|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 -3003) +(-595 R -1392) ((|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 -3003) +(-596 E -1392) ((|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 -3003) +(-598 -1392) ((|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}."))) ((-4457 . T) (-4456 . T)) ((|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-1196))))) @@ -2351,7 +2351,7 @@ NIL (-605 |mn|) ((|constructor| (NIL "This domain implements low-level strings"))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-3739 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1119)))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) +((-2825 (-12 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145))))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (-2825 (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -319) (QUOTE (-145)))))) (|HasCategory| (-145) (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1119)))) (|HasCategory| (-145) (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| (-145) (QUOTE (-1119))) (|HasCategory| (-145) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-145) (QUOTE (-1119))) (|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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3739 (|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 -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|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))) (-2825 (|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 -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-576))))) (|HasSignature| |#1| (LIST (QUOTE -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|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.}"))) (((-4464 "*") |has| |#1| (-568)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . 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 -3003 FG) +(-612 R -1392 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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1068))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1068))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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)."))) -((-4459 -3739 (-3200 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) -((-3739 (|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|)))) (-3739 (-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|)))) +((-4459 -2825 (-2111 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) +((-2825 (|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|)))) (-2825 (-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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (QUOTE (-1178))) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| (-1178) (QUOTE (-862))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (QUOTE (-1178))) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| (-1178) (QUOTE (-862))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) (-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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-627 -3003 UP) +(-627 -1392 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic\\spad{'s} algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-860)))) -(-634 R -3003) +(-634 R -1392) ((|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 -3003) +(-642 R -1392) ((|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| -3003) +(-643 |lv| -1392) ((|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."))) ((-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (QUOTE (-1178))) (LIST (QUOTE |:|) (QUOTE -3153) (QUOTE (-52))))))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-52) (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1178) (QUOTE (-862))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 (-52))) (QUOTE (-1119)))) +((-12 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (QUOTE (-1178))) (LIST (QUOTE |:|) (QUOTE -1932) (QUOTE (-52))))))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-52) (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-1178) (QUOTE (-862))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 (-52))) (QUOTE (-1119)))) (-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)."))) -((-4459 -3739 (-3200 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) -((-3739 (|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|)))) (-3739 (-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|)))) +((-4459 -2825 (-2111 (|has| |#2| (-378 |#1|)) (|has| |#1| (-568))) (-12 (|has| |#2| (-429 |#1|)) (|has| |#1| (-568)))) (-4457 . T) (-4456 . T)) +((-2825 (|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|)))) (-2825 (-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 -((-3189 (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-374)))) +((-2100 (|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}.") (((|Matrix| |#1|) (|Vector| $)) "\\spad{reducedSystem [v1,...,vn]} returns a matrix \\spad{M} with coefficients in \\spad{R} such that the system of equations \\spad{c1*v1 + ... + cn*vn = 0\\$\\%} has the same solution as \\spad{c * M = 0} where \\spad{c} is the row vector \\spad{[c1,...cn]}."))) NIL @@ -2555,19 +2555,19 @@ 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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-840))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-657 T$) ((|constructor| (NIL "This domain represents AST for Spad literals."))) NIL NIL (-658 S) -((|constructor| (NIL "\\indented{2}{A set is an \\spad{S}-left linear set if it is stable by left-dilation} \\indented{2}{by elements in the semigroup \\spad{S}.} See Also: RightLinearSet.")) (* (($ |#1| $) "\\spad{s*x} is the left-dilation of \\spad{x} by \\spad{s}.")) (|zero?| (((|Boolean|) $) "\\spad{zero? x} holds if \\spad{x} is the origin.")) ((|Zero|) (($) "\\spad{0} represents the origin of the linear set"))) +((|constructor| (NIL "\\indented{2}{A set is an \\spad{S}-left linear set if it is stable by left-dilation} \\indented{2}{by elements in the semigroup \\spad{S}.} See Also: RightLinearSet.")) (* (($ |#1| $) "\\spad{s*x} is the left-dilation of \\spad{x} by \\spad{s}."))) NIL NIL (-659 S) ((|substitute| (($ |#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."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-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 -3003 L) +(-664 R -1392 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}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-669 -3003 UP) +(-669 -1392 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 -1957) +(-670 A -4199) ((|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}}"))) ((-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (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}."))) ((-4463 . T) (-4462 . T)) NIL -(-679 -3003) +(-679 -1392) ((|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 -3003 |Row| |Col| M) +(-680 -1392 |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."))) ((-4459 . T) (-4462 . T) (-4456 . T) (-4457 . T)) -((|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (-3739 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|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 -915) (QUOTE (-1196)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-3739 (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (-2825 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|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 -915) (QUOTE (-1196)))))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-374))) (|HasCategory| |#2| (QUOTE (-568))) (-2825 (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|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 -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (QUOTE (-1068))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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."))) ((-4462 . T) (-4463 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4464 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-317))) (|HasCategory| |#1| (QUOTE (-568))) (|HasAttribute| |#1| (QUOTE (-4464 "*"))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|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 -3003 FLAF FLAS) +(-704 S -1392 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"))) -((-4455 . T) (-4460 |has| (-711) (-374)) (-4454 |has| (-711) (-374)) (-3477 . T) (-4461 |has| (-711) (-6 -4461)) (-4458 |has| (-711) (-6 -4458)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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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}."))) ((-4463 . 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 -3003 PG) +(-710 OV E -1392 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}"))) -((-3468 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) +((-3501 . T) (-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . 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.")) 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(QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1101) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1171))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4457 |has| |#1| (-174)) (-4456 |has| |#1| (-174)) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148)))) -(-727 R |Mod| -1880 -3343 |exactQuo|) +(-727 R |Mod| -2156 -4181 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4459 . T)) NIL @@ -2848,7 +2848,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4457 . T) (-4456 . T)) NIL -(-730 -3003) +(-730 -1392) ((|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]]}."))) ((-4459 . 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 -3003 UP) +(-739 -1392 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."))) (((-4464 "*") |has| |#2| (-174)) (-4455 |has| |#2| (-568)) (-4460 |has| |#2| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#2| (QUOTE (-926))) (-3739 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-3739 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-876 |#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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4460)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-926))) (-2825 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-174))) (-2825 (|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (QUOTE (-568)))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-876 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-876 |#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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374))) (|HasAttribute| |#2| (QUOTE -4460)) (|HasCategory| |#2| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (|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 -3003) +(-777 -1392) ((|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 -3003) +(-778 P -1392) ((|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 -3003) +(-780 UP -1392) ((|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."))) (((-4464 "*") . T)) NIL -(-784 R -3003) +(-784 R -1392) ((|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 -3003 |ExtF| |SUEx| |ExtP| |n|) +(-789 -1392 |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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . 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|#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1196))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1196))))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1196)))) (-2100 (|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 (-1196)))))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1196)))) (-2100 (|HasCategory| |#1| (QUOTE (-557)))) (-2100 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-1196)))) (-2100 (|HasCategory| |#1| (LIST (QUOTE -38) (QUOTE (-576))))) (-2100 (|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 (-1196)))) (-2100 (|HasCategory| |#1| (LIST (QUOTE -1011) (QUOTE (-576))))))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|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)}"))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4458 |has| |#1| (-374)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1101) (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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1171))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1101) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1101) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-1171))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-238))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|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| $) "\\spad{real(o)} extracts real part of octonion \\spad{o}.")) (|conjugate| (($ $) "\\spad{conjugate(o)} negates the imaginary parts \\spad{i},{}\\spad{j},{}\\spad{k},{}\\spad{E},{}\\spad{I},{}\\spad{J},{}\\spad{K} of octonian \\spad{o}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) NIL -(-810 -3739 R OS S) +(-810 -2825 R OS S) ((|constructor| (NIL "OctonionCategoryFunctions2 implements functions between two octonion domains defined over different rings. The function map is used to coerce between octonion types.")) (|map| ((|#3| (|Mapping| |#4| |#2|) |#1|) "\\spad{map(f,u)} maps \\spad{f} onto the component parts of the octonion \\spad{u}."))) NIL NIL (-811 R) ((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|Quaternion| |#1|) (|Quaternion| |#1|)) "\\spad{octon(qe,qE)} constructs an octonion from two quaternions using the relation {\\em O = Q + QE}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-3739 (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3739 (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -296) (|devaluate| |#1|) (|devaluate| |#1|))) (-2825 (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2825 (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-557))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1018 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (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 -3003 L) +(-813 R -1392 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 -3003) +(-814 R -1392) ((|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 -3003) +(-816 R -1392) ((|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 -3003 UP UPUP R) +(-818 -1392 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 -3003 UP L LQ) +(-819 -1392 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 -3003 UP L LQ) +(-821 -1392 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 -3003 UP) +(-822 -1392 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 -3003 L UP A LO) +(-823 -1392 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 -3003 UP) +(-824 -1392 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 -3003 LO) +(-825 -1392 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 -3003 LODO) +(-826 -1392 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}. The value \"failed\" is returned if no particular solution is found. Note: the method of variations of parameters is used.")) (|variationOfParameters| (((|Union| (|Vector| |#1|) "failed") |#2| |#1| (|List| |#1|)) "\\spad{variationOfParameters(op, g, [f1,...,fm])} returns \\spad{[u1,...,um]} such that a particular solution of the equation \\spad{op y = g} is \\spad{f1 int(u1) + ... + fm int(um)} where \\spad{[f1,...,fm]} are linearly independent and \\spad{op(fi)=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,...,fn], q, D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,...,fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),...,fn^(i-1)]}."))) 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The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-830 (-1196)) (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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-926))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-830 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-830 (-1196)) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) (-829 |Kernels| R |var|) ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) (((-4464 "*") |has| |#2| (-374)) (-4455 |has| |#2| (-374)) (-4460 |has| |#2| (-374)) (-4454 |has| |#2| (-374)) (-4459 . T) (-4457 . T) (-4456 . 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."))) ((-4459 |has| |#1| (-860))) -((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-3739 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-3739 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) +((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2825 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-2825 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (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| (($) "\\spad{plusInfinity()} returns +infinity."))) ((-4459 |has| |#1| (-860))) -((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-3739 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-3739 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) +((|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (QUOTE (-21))) (-2825 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-860)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (-2825 (|HasCategory| |#1| (QUOTE (-860))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-557)))) (-856) ((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%."))) NIL NIL -(-857 -2809 S) +(-857 -4137 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 @@ -3392,11 +3392,11 @@ 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)))) -(-866 R |sigma| -3568) +(-866 R |sigma| -2099) ((|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."))) ((-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-374)))) -(-867 |x| R |sigma| -3568) +(-867 |x| R |sigma| -2099) ((|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}."))) ((-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| |#2| (QUOTE (-174))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-464))) (|HasCategory| |#2| (QUOTE (-374)))) @@ -3463,15 +3463,15 @@ NIL (-883 |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)."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-882 |#1|) (QUOTE (-926))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-148))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-882 |#1|) (QUOTE (-1041))) (|HasCategory| (-882 |#1|) (QUOTE (-832))) (-3739 (|HasCategory| (-882 |#1|) (QUOTE (-832))) (|HasCategory| (-882 |#1|) (QUOTE (-862)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-1171))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-237))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-882 |#1|) (QUOTE (-238))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -526) (QUOTE (-1196)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -882) (|devaluate| |#1|)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (QUOTE (-317))) (|HasCategory| (-882 |#1|) (QUOTE (-557))) (|HasCategory| (-882 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-926)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))))) +((|HasCategory| (-882 |#1|) (QUOTE (-926))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-148))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-882 |#1|) (QUOTE (-1041))) (|HasCategory| (-882 |#1|) (QUOTE (-832))) (-2825 (|HasCategory| (-882 |#1|) (QUOTE (-832))) (|HasCategory| (-882 |#1|) (QUOTE (-862)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-1171))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| (-882 |#1|) (QUOTE (-237))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-882 |#1|) (QUOTE (-238))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -526) (QUOTE (-1196)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -319) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (LIST (QUOTE -296) (LIST (QUOTE -882) (|devaluate| |#1|)) (LIST (QUOTE -882) (|devaluate| |#1|)))) (|HasCategory| (-882 |#1|) (QUOTE (-317))) (|HasCategory| (-882 |#1|) (QUOTE (-557))) (|HasCategory| (-882 |#1|) (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-882 |#1|) (QUOTE (-926)))) (|HasCategory| (-882 |#1|) (QUOTE (-146))))) (-884 |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)}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#2| (QUOTE (-926))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1041))) (|HasCategory| |#2| (QUOTE (-832))) (-3739 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-862)))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1171))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1196)) (|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))) (|HasCategory| |#2| (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-146))))) +((|HasCategory| |#2| (QUOTE (-926))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-1041))) (|HasCategory| |#2| (QUOTE (-832))) (-2825 (|HasCategory| |#2| (QUOTE (-832))) (|HasCategory| |#2| (QUOTE (-862)))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-1171))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-237))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (LIST (QUOTE -526) (QUOTE (-1196)) (|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))) (|HasCategory| |#2| (QUOTE (-862))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-926)))) (|HasCategory| |#2| (QUOTE (-146))))) (-885 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 (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))))) (-886) ((|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 @@ -3531,7 +3531,7 @@ NIL (-900 |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 (-3189 (|HasCategory| |#2| (QUOTE (-1068)))) (-3189 (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196)))))) (-12 (|HasCategory| |#2| (QUOTE (-1068))) (-3189 (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196)))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196))))) +((-12 (-2100 (|HasCategory| |#2| (QUOTE (-1068)))) (-2100 (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196)))))) (-12 (|HasCategory| |#2| (QUOTE (-1068))) (-2100 (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196)))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-1196))))) (-901 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 @@ -3540,7 +3540,7 @@ 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 -(-903 R -3404) +(-903 R -3567) ((|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 @@ -3572,7 +3572,7 @@ 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 -(-911 UP -3003) +(-911 UP -1392) ((|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 @@ -3603,7 +3603,7 @@ NIL (-918 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 (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-919 |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 @@ -3619,7 +3619,7 @@ NIL (-922 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."))) ((-4459 . T)) -((-3739 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) +((-2825 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-862)))) (-923 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 @@ -3640,7 +3640,7 @@ 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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) ((|HasCategory| $ (QUOTE (-148))) (|HasCategory| $ (QUOTE (-146))) (|HasCategory| $ (QUOTE (-379)))) -(-928 R0 -3003 UP UPUP R) +(-928 R0 -1392 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 @@ -3668,7 +3668,7 @@ 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 -(-935 -3003) +(-935 -1392) ((|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 @@ -3684,11 +3684,11 @@ 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}."))) (((-4464 "*") . T)) NIL -(-939 -3003 P) +(-939 -1392 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) NIL NIL -(-940 |xx| -3003) +(-940 |xx| -1392) ((|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 @@ -3712,7 +3712,7 @@ NIL ((|constructor| (NIL "This package exports plotting tools")) (|calcRanges| (((|List| (|Segment| (|DoubleFloat|))) (|List| (|List| (|Point| (|DoubleFloat|))))) "\\spad{calcRanges(l)} \\undocumented"))) NIL NIL -(-946 R -3003) +(-946 R -1392) ((|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 @@ -3724,7 +3724,7 @@ 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 -(-949 S R -3003) +(-949 S R -1392) ((|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 @@ -3744,11 +3744,11 @@ 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 -899) (|devaluate| |#1|)))) -(-954 R -3003 -3404) +(-954 R -1392 -3567) ((|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 -(-955 -3404) +(-955 -3567) ((|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 @@ -3771,7 +3771,7 @@ NIL (-960 R) ((|constructor| (NIL "This domain implements points in coordinate space"))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1068))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1068))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-961 |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 @@ -3796,7 +3796,7 @@ 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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) NIL -(-967 E V R P -3003) +(-967 E V R P -1392) ((|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 @@ -3807,8 +3807,8 @@ NIL (-969 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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1196) (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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) -(-970 E V R P -3003) +((|HasCategory| |#1| (QUOTE (-926))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1196) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1196) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +(-970 E V R P -1392) ((|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| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-464)))) @@ -3831,12 +3831,12 @@ NIL (-975 S) ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt\\spad{'s}.} Minimum index is 0 in this type,{} cannot be changed"))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-976) ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|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 -(-977 -3003) +(-977 -1392) ((|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 @@ -3851,11 +3851,11 @@ NIL (-980 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}"))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4460))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-132)))) (|HasAttribute| |#1| (QUOTE -4460))) (-981 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"))) ((-4459 -12 (|has| |#2| (-485)) (|has| |#1| (-485)))) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-862))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-3739 (-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)))) (-3739 (-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)))) (-3739 (-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)))) (-3739 (-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 (-862))) (|HasCategory| |#2| (QUOTE (-862))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-862))))) (-12 (|HasCategory| |#1| (QUOTE (-805))) (|HasCategory| |#2| (QUOTE (-805)))) (-2825 (-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)))) (-2825 (-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)))) (-2825 (-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)))) (-2825 (-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 (-862))) (|HasCategory| |#2| (QUOTE (-862))))) (-982) ((|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 @@ -3944,7 +3944,7 @@ 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 -(-1004 K R UP -3003) +(-1004 K R UP -1392) ((|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 @@ -4003,11 +4003,11 @@ NIL (-1018 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.}"))) ((-4455 |has| |#1| (-300)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-557)))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-300))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -526) (QUOTE (-1196)) (|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 -917) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-1079))) (|HasCategory| |#1| (QUOTE (-557)))) (-1019 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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-1020 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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL @@ -4016,14 +4016,14 @@ NIL ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|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 -(-1022 -3003 UP UPUP |radicnd| |n|) +(-1022 -1392 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4455 |has| (-419 |#2|) (-374)) (-4460 |has| (-419 |#2|) (-374)) (-4454 |has| (-419 |#2|) (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-3739 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-3739 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-3739 (-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)))) (-3739 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-3739 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-3739 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (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 -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) +((|HasCategory| (-419 |#2|) (QUOTE (-146))) (|HasCategory| (-419 |#2|) (QUOTE (-148))) (|HasCategory| (-419 |#2|) (QUOTE (-360))) (-2825 (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))) (|HasCategory| (-419 |#2|) (QUOTE (-379))) (-2825 (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (QUOTE (-360)))) (-2825 (-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)))) (-2825 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-360))))) (-2825 (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -651) (QUOTE (-576)))) (-2825 (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 |#2|) (LIST (QUOTE -1057) (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 -917) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (QUOTE (-238))) (|HasCategory| (-419 |#2|) (QUOTE (-374)))) (-12 (|HasCategory| (-419 |#2|) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-419 |#2|) (QUOTE (-374))))) (-1023 |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."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-3739 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|HasCategory| (-576) (QUOTE (-146))))) +((|HasCategory| (-576) (QUOTE (-926))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-148))) (|HasCategory| (-576) (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-1041))) (|HasCategory| (-576) (QUOTE (-832))) (-2825 (|HasCategory| (-576) (QUOTE (-832))) (|HasCategory| (-576) (QUOTE (-862)))) (|HasCategory| (-576) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-576) (QUOTE (-1171))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| (-576) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| (-576) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| (-576) (QUOTE (-237))) (|HasCategory| (-576) (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| (-576) (QUOTE (-238))) (|HasCategory| (-576) (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| (-576) (LIST (QUOTE -526) (QUOTE (-1196)) (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) (QUOTE (-862))) (|HasCategory| (-576) (LIST (QUOTE -651) (QUOTE (-576)))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| (-576) (QUOTE (-926)))) (|HasCategory| (-576) (QUOTE (-146))))) (-1024) ((|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 @@ -4056,19 +4056,19 @@ 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}}"))) ((-4455 . T) (-4460 . T) (-4454 . T) (-4457 . T) (-4456 . T) ((-4464 "*") . T) (-4459 . T)) NIL -(-1032 R -3003) +(-1032 R -1392) ((|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 -(-1033 R -3003) +(-1033 R -1392) ((|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 -(-1034 -3003 UP) +(-1034 -1392 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 -(-1035 -3003 UP) +(-1035 -1392 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 @@ -4103,8 +4103,8 @@ NIL (-1043 |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"))) ((-4455 . T) (-4460 . T) (-4454 . T) (-4457 . T) (-4456 . T) ((-4464 "*") . T) (-4459 . T)) -((-3739 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (QUOTE (-576))))) -(-1044 -3003 L) +((-2825 (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-419 (-576)) (LIST (QUOTE -1057) (QUOTE (-576))))) +(-1044 -1392 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 @@ -4140,14 +4140,14 @@ 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 -(-1053 -3003 |Expon| |VarSet| |FPol| |LFPol|) +(-1053 -1392 |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"))) (((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL (-1054) ((|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.}"))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (QUOTE (-1196))) (LIST (QUOTE |:|) (QUOTE -3153) (QUOTE (-52))))))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-52) (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-1196) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (QUOTE (-1196))) (LIST (QUOTE |:|) (QUOTE -1932) (QUOTE (-52))))))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-52) (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-1196) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) (-1055) ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) NIL @@ -4204,12 +4204,12 @@ NIL ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) ((-4459 . T)) NIL -(-1069 |xx| -3003) +(-1069 |xx| -1392) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL (-1070 S) -((|constructor| (NIL "\\indented{2}{A set is an \\spad{S}-right linear set if it is stable by right-dilation} \\indented{2}{by elements in the semigroup \\spad{S}.} See Also: LeftLinearSet.")) (* (($ $ |#1|) "\\spad{x*s} is the right-dilation of \\spad{x} by \\spad{s}.")) (|zero?| (((|Boolean|) $) "\\spad{zero? x} holds if \\spad{x} is the origin.")) ((|Zero|) (($) "\\spad{0} represents the origin of the linear set"))) +((|constructor| (NIL "\\indented{2}{A set is an \\spad{S}-right linear set if it is stable by right-dilation} \\indented{2}{by elements in the semigroup \\spad{S}.} See Also: LeftLinearSet.")) (* (($ $ |#1|) "\\spad{x*s} is the right-dilation of \\spad{x} by \\spad{s}."))) NIL NIL (-1071 S |m| |n| R |Row| |Col|) @@ -4223,7 +4223,7 @@ NIL (-1073 |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}."))) ((-4462 . T) (-4457 . T) (-4456 . T)) -((|HasCategory| |#3| (QUOTE (-174))) (-3739 (-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 (-1119))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-874))))) +((|HasCategory| |#3| (QUOTE (-174))) (-2825 (-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 (-1119))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (|HasCategory| |#3| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-374)))) (|HasCategory| |#3| (QUOTE (-374))) (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (QUOTE (-317))) (|HasCategory| |#3| (QUOTE (-568))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|)))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-874))))) (-1074 |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 @@ -4259,7 +4259,7 @@ NIL (-1082) ((|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}"))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (QUOTE (-1196))) (LIST (QUOTE |:|) (QUOTE -3153) (QUOTE (-52))))))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-52) (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (QUOTE (-1119))) (|HasCategory| (-1196) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (QUOTE (-1196))) (LIST (QUOTE |:|) (QUOTE -1932) (QUOTE (-52))))))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-52) (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| (-52) (QUOTE (-1119))) (|HasCategory| (-52) (LIST (QUOTE -319) (QUOTE (-52))))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (QUOTE (-1119))) (|HasCategory| (-1196) (QUOTE (-862))) (|HasCategory| (-52) (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-52) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (LIST (QUOTE -625) (QUOTE (-874))))) (-1083 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 @@ -4308,11 +4308,11 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1095 |Base| R -3003) +(-1095 |Base| R -1392) ((|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 -(-1096 |Base| R -3003) +(-1096 |Base| R -1392) ((|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 @@ -4327,7 +4327,7 @@ NIL (-1099 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."))) ((-4455 |has| |#1| (-374)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-3739 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196))))) (-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 -915) (QUOTE (-1196)))))) +((|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-360))) (-2825 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-360)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-379))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-374)))) (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-360))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196))))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))))) (|HasCategory| |#1| (LIST (QUOTE -651) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (QUOTE (-374)))) (|HasCategory| |#1| (QUOTE (-360)))) (-12 (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196))))) (-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 -915) (QUOTE (-1196)))))) (-1100 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 @@ -4355,7 +4355,7 @@ NIL (-1106 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"))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1107 (-1196)) (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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-926))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| (-1107 (-1196)) (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576)))))) (-12 (|HasCategory| (-1107 (-1196)) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-238))) (|HasCategory| |#1| (QUOTE (-237))) (|HasCategory| |#1| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1107 S) ((|constructor| (NIL "\\spadtype{OrderlyDifferentialVariable} adds a commonly used sequential ranking to the set of derivatives of an ordered list of differential indeterminates. 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 @@ -4415,7 +4415,7 @@ NIL (-1121 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. In our implementation,{} \\Language{} maintains the entries in sorted order. Specifically,{} the parts function returns the entries as a list in ascending order and the extract operation returns the maximum entry. Given two sets \\spad{s} and \\spad{t} where \\spad{\\#s = m} and \\spad{\\#t = n},{} the complexity of \\indented{2}{\\spad{s = t} is \\spad{O(min(n,m))}} \\indented{2}{\\spad{s < t} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{union(s,t)},{} \\spad{intersect(s,t)},{} \\spad{minus(s,t)},{} \\spad{symmetricDifference(s,t)} is \\spad{O(max(n,m))}} \\indented{2}{\\spad{member(x,t)} is \\spad{O(n log n)}} \\indented{2}{\\spad{insert(x,t)} and \\spad{remove(x,t)} is \\spad{O(n)}}"))) ((-4462 . T) (-4452 . T) (-4463 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#1| (QUOTE (-379))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-1122 |Str| |Sym| |Int| |Flt| |Expr|) ((|constructor| (NIL "This category allows the manipulation of Lisp values while keeping the grunge fairly localized.")) (|#| (((|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 ().")) (|eq| (((|Boolean|) $ $) "\\spad{eq(s, t)} is \\spad{true} if EQ(\\spad{s},{}\\spad{t}) is \\spad{true} in Lisp."))) NIL @@ -4459,7 +4459,7 @@ NIL (-1132 |dimtot| |dim1| S) ((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered as if they were split into two blocks. The dim1 parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}."))) ((-4456 |has| |#3| (-1068)) (-4457 |has| |#3| (-1068)) (-4459 |has| |#3| (-6 -4459)) (-4462 . 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(|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576)))))) (|HasCategory| (-576) (QUOTE (-862))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -651) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (QUOTE (-237))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -917) (QUOTE (-1196))))) (-2825 (|HasCategory| |#3| (QUOTE (-1068))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576)))))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -1057) (QUOTE (-576))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#3| (QUOTE (-1119)))) (|HasAttribute| |#3| (QUOTE -4459)) (-12 (|HasCategory| |#3| (QUOTE (-238))) (|HasCategory| |#3| (QUOTE (-1068)))) (-12 (|HasCategory| |#3| (QUOTE (-1068))) (|HasCategory| |#3| (LIST (QUOTE -915) (QUOTE (-1196))))) (|HasCategory| |#3| (QUOTE (-862))) (|HasCategory| |#3| (QUOTE (-174))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-132))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#3| (QUOTE (-1119))) (|HasCategory| |#3| (LIST (QUOTE -319) (|devaluate| |#3|))))) (-1133 R |x|) ((|constructor| (NIL "This package produces functions for counting etc. real roots of univariate polynomials in \\spad{x} over \\spad{R},{} which must be an OrderedIntegralDomain")) (|countRealRootsMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#1|)) "\\spad{countRealRootsMultiple(p)} says how many real roots \\spad{p} has,{} counted with multiplicity")) (|SturmHabichtMultiple| (((|Integer|) (|UnivariatePolynomial| |#2| |#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 @@ -4468,7 +4468,7 @@ 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 -(-1135 R -3003) +(-1135 R -1392) ((|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 @@ -4507,16 +4507,16 @@ NIL (-1144 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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-6 -4460)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-926))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (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 -1057) (QUOTE (-576)))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-3739 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) +((|HasCategory| |#1| (QUOTE (-926))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (|HasCategory| |#1| (QUOTE (-464))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-390)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-390))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -899) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -899) (QUOTE (-576))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-390)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -626) (LIST (QUOTE -905) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (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 -1057) (QUOTE (-576)))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-374))) (|HasAttribute| |#1| (QUOTE -4460)) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (-2825 (-12 (|HasCategory| $ (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-926)))) (|HasCategory| |#1| (QUOTE (-146))))) (-1145 |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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3739 (|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))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) (-1146 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}"))) ((-4463 . T) (-4462 . T)) NIL -(-1147 UP -3003) +(-1147 UP -1392) ((|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 @@ -4571,11 +4571,11 @@ NIL (-1160 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") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1159) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1159 |#1| |#2|) (QUOTE (-1119)))) (|HasCategory| (-1159 |#1| |#2|) (QUOTE (-1119))) (-3739 (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1159) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1159 |#1| |#2|) (QUOTE (-1119))))) (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1159) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1159 |#1| |#2|) (QUOTE (-1119)))) (|HasCategory| (-1159 |#1| |#2|) (QUOTE (-1119))) (-2825 (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -319) (LIST (QUOTE -1159) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1159 |#1| |#2|) (QUOTE (-1119))))) (|HasCategory| (-1159 |#1| |#2|) (LIST (QUOTE -625) (QUOTE (-874))))) (-1161 |ndim| R) ((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|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}."))) ((-4459 . T) (-4451 |has| |#2| (-6 (-4464 "*"))) (-4462 . T) (-4456 . T) (-4457 . T)) -((|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (-3739 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|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 -915) (QUOTE (-1196)))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-374))) (-3739 (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) +((|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (LIST (QUOTE -917) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (QUOTE (-237))) (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -651) (QUOTE (-576)))) (|HasCategory| |#2| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (LIST (QUOTE -1057) (QUOTE (-576)))) (-2825 (-12 (|HasCategory| |#2| (QUOTE (-238))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|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 -915) (QUOTE (-1196)))))) (|HasCategory| |#2| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| |#2| (QUOTE (-317))) (|HasCategory| |#2| (QUOTE (-568))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-374))) (-2825 (|HasAttribute| |#2| (QUOTE (-4464 "*"))) (|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasCategory| |#2| (QUOTE (-238)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-174)))) (-1162 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|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) NIL @@ -4595,7 +4595,7 @@ NIL (-1166 S) ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|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}."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-1167 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 @@ -4607,7 +4607,7 @@ NIL (-1169 |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."))) ((-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|)))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119)))) +((-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|)))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-862))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119)))) (-1170) ((|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|) $) "\\spad{iterationVar(i)} returns the name of the iterating variable of the arithmetic progression iterator \\spad{i}."))) NIL @@ -4635,7 +4635,7 @@ NIL (-1176 S) ((|constructor| (NIL "A stream is an implementation of an infinite sequence using a list of terms that have been computed and a function closure to compute additional terms when needed.")) (|filterUntil| (($ (|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."))) ((-4463 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-1177) ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) ((-4463 . T) (-4462 . T)) @@ -4643,11 +4643,11 @@ NIL (-1178) NIL ((-4463 . T) (-4462 . 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A specialized hash function for strings is used."))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (QUOTE (-1178))) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#1|)))))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (QUOTE (-1119))) (|HasCategory| (-1178) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 (-1178)) (|:| -3153 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (QUOTE (-1178))) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#1|)))))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (QUOTE (-1119))) (|HasCategory| (-1178) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 (-1178)) (|:| -1932 |#1|)) (LIST (QUOTE -625) (QUOTE (-874))))) (-1180 A) ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|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 @@ -4678,9 +4678,9 @@ NIL NIL (-1187 |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. We may integrate a series when we can divide coefficients by integers.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Laurent series."))) -(((-4464 "*") -3739 (-3200 (|has| |#1| (-374)) (|has| (-1194 |#1| |#2| |#3|) (-832))) (|has| |#1| (-174)) (-3200 (|has| |#1| (-374)) (|has| (-1194 |#1| |#2| |#3|) (-926)))) (-4455 -3739 (-3200 (|has| |#1| (-374)) (|has| (-1194 |#1| |#2| |#3|) (-832))) (|has| |#1| (-568)) (-3200 (|has| |#1| (-374)) (|has| (-1194 |#1| |#2| |#3|) (-926)))) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . 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\\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{SparseUnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux} \\indented{2}{series in \\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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3739 (|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 -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3739 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -1850) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2825 (|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 -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -3247) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) (-1194 |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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3739 (|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 -915) (QUOTE (-1196)))) (|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 (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -1850) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2825 (|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 -915) (QUOTE (-1196)))) (|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 (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -3247) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) (-1195) ((|constructor| (NIL "This domain builds representations of boolean expressions for use with the \\axiomType{FortranCode} domain.")) (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}.")) 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T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-3739 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-990) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4460))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-2825 (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-464))) (-12 (|HasCategory| (-990) (QUOTE (-132))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasAttribute| |#1| (QUOTE -4460))) (-1199) ((|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 @@ -4767,7 +4767,7 @@ NIL (-1209 |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}"))) ((-4462 . T) (-4463 . T)) -((-12 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -4147) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3153) (|devaluate| |#2|)))))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-3739 (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -319) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -3658) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -1932) (|devaluate| |#2|)))))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#2| (QUOTE (-1119)))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -626) (QUOTE (-548)))) (-12 (|HasCategory| |#2| (QUOTE (-1119))) (|HasCategory| |#2| (LIST (QUOTE -319) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#2| (QUOTE (-1119))) (-2825 (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#2| (LIST (QUOTE -625) (QUOTE (-874)))) (|HasCategory| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (LIST (QUOTE -625) (QUOTE (-874))))) (-1210 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 @@ -4823,7 +4823,7 @@ NIL (-1223 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| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) ((-4463 . T) (-4462 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) +((-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1119))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (-1224 S) ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL @@ -4832,7 +4832,7 @@ NIL ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL NIL -(-1226 R -3003) +(-1226 R -1392) ((|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 @@ -4840,7 +4840,7 @@ 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 -(-1228 R -3003) +(-1228 R -1392) ((|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 -905) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -899) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -626) (LIST (QUOTE -905) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -899) (|devaluate| |#1|))))) @@ -4855,7 +4855,7 @@ NIL (-1231 |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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4457 . T) (-4456 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-148))) (|HasCategory| |#1| (QUOTE (-146))) (-3739 (|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))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-374)))) (-1232 |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 @@ -4868,7 +4868,7 @@ 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 (-1119))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) -(-1235 -3003) +(-1235 -1392) ((|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}.")) 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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 @@ -4971,7 +4971,7 @@ NIL (-1260 |x| R) ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. 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(|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 @@ -4987,7 +4987,7 @@ NIL (-1264 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 -915) (QUOTE (-1196)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1131))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2858) (LIST (|devaluate| |#2|) (QUOTE (-1196)))))) +((|HasCategory| |#2| (LIST (QUOTE -915) (QUOTE (-1196)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1131))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2933) (LIST (|devaluate| |#2|) (QUOTE (-1196)))))) (-1265 |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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) @@ -5015,15 +5015,15 @@ NIL (-1271 |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)}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3739 (|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 -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3739 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -1850) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) +((|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2825 (|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 -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -3247) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576)))))) (-1272 |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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4460 |has| |#1| (-374)) (-4454 |has| |#1| (-374)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-3739 (|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 -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-3739 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -1850) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (|HasCategory| |#1| (QUOTE (-174))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-568)))) (|HasCategory| |#1| (QUOTE (-146))) (|HasCategory| |#1| (QUOTE (-148))) (-12 (|HasCategory| |#1| (LIST (QUOTE -915) (QUOTE (-1196)))) (|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 (-1131))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (|HasCategory| |#1| (QUOTE (-174))) (|HasCategory| |#1| (QUOTE (-374))) (|HasCategory| |#1| (QUOTE (-568)))) (-2825 (|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 -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -419) (QUOTE (-576)))))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -3247) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) (-1273 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))}."))) (((-4464 "*") |has| (-1272 |#2| |#3| |#4|) (-174)) (-4455 |has| (-1272 |#2| |#3| |#4|) (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-174))) (-3739 (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-568)))) +((|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-146))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-148))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-174))) (-2825 (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576)))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -1057) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| (-1272 |#2| |#3| |#4|) (LIST (QUOTE -1057) (QUOTE (-576)))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-374))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-464))) (|HasCategory| (-1272 |#2| |#3| |#4|) (QUOTE (-568)))) (-1274 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| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) NIL @@ -5039,7 +5039,7 @@ NIL (-1277 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-976))) (|HasCategory| |#2| (QUOTE (-1222))) (|HasSignature| |#2| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1850) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1196))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#2| (QUOTE (-976))) (|HasCategory| |#2| (QUOTE (-1222))) (|HasSignature| |#2| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3247) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1196))))) (|HasCategory| |#2| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#2| (QUOTE (-374)))) (-1278 |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."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) @@ -5047,12 +5047,12 @@ NIL (-1279 |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}."))) (((-4464 "*") |has| |#1| (-174)) (-4455 |has| |#1| (-568)) (-4456 . T) (-4457 . T) (-4459 . T)) -((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-3739 (|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 -915) (QUOTE (-1196)))) (|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 (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2858) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-3739 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -1850) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -1634) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -38) (LIST (QUOTE -419) (QUOTE (-576))))) (|HasCategory| |#1| (QUOTE (-568))) (-2825 (|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 -915) (QUOTE (-1196)))) (|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 (-1131))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasSignature| |#1| (LIST (QUOTE -2933) (LIST (|devaluate| |#1|) (QUOTE (-1196)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-783))))) (|HasCategory| |#1| (QUOTE (-374))) (-2825 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-576)))) (|HasCategory| |#1| (QUOTE (-976))) (|HasCategory| |#1| (QUOTE (-1222))) (|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 -3247) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1196))))) (|HasSignature| |#1| (LIST (QUOTE -4361) (LIST (LIST (QUOTE -656) (QUOTE (-1196))) (|devaluate| |#1|))))))) (-1280 |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 -(-1281 -3003 UP L UTS) +(-1281 -1392 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)))) @@ -5079,7 +5079,7 @@ NIL (-1287 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."))) ((-4463 . T) (-4462 . T)) -((-3739 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-3739 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-3739 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1068))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) +((-2825 (-12 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-2825 (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874))))) (|HasCategory| |#1| (LIST (QUOTE -626) (QUOTE (-548)))) (-2825 (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119)))) (|HasCategory| |#1| (QUOTE (-862))) (|HasCategory| (-576) (QUOTE (-862))) (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-738))) (|HasCategory| |#1| (QUOTE (-1068))) (-12 (|HasCategory| |#1| (QUOTE (-1021))) (|HasCategory| |#1| (QUOTE (-1068)))) (|HasCategory| |#1| (LIST (QUOTE -625) (QUOTE (-874)))) (-12 (|HasCategory| |#1| (QUOTE (-1119))) (|HasCategory| |#1| (LIST (QUOTE -319) (|devaluate| |#1|))))) (-1288) ((|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 @@ -5112,7 +5112,7 @@ 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 -(-1296 K R UP -3003) +(-1296 K R UP -1392) ((|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 @@ -5148,11 +5148,11 @@ 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| $) "\\spad{v * x} returns the product of a variable \\spad{x} by \\spad{x}."))) ((-4455 |has| |#2| (-6 -4455)) (-4457 . T) (-4456 . T) (-4459 . T)) NIL -(-1305 S -3003) +(-1305 S -1392) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-379))) (|HasCategory| |#2| (QUOTE (-146))) (|HasCategory| |#2| (QUOTE (-148)))) -(-1306 -3003) +(-1306 -1392) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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}."))) ((-4454 . T) (-4460 . T) (-4455 . T) ((-4464 "*") . T) (-4456 . T) (-4457 . T) (-4459 . T)) NIL @@ -5212,4 +5212,4 @@ NIL NIL NIL NIL -((-3 NIL 2279891 2279896 2279901 2279906) (-2 NIL 2279871 2279876 2279881 2279886) (-1 NIL 2279851 2279856 2279861 2279866) (0 NIL 2279831 2279836 2279841 2279846) (-1316 "ZMOD.spad" 2279640 2279653 2279769 2279826) (-1315 "ZLINDEP.spad" 2278706 2278717 2279630 2279635) (-1314 "ZDSOLVE.spad" 2268651 2268673 2278696 2278701) (-1313 "YSTREAM.spad" 2268146 2268157 2268641 2268646) (-1312 "YDIAGRAM.spad" 2267780 2267789 2268136 2268141) (-1311 "XRPOLY.spad" 2267000 2267020 2267636 2267705) (-1310 "XPR.spad" 2264795 2264808 2266718 2266817) (-1309 "XPOLY.spad" 2264350 2264361 2264651 2264720) (-1308 "XPOLYC.spad" 2263669 2263685 2264276 2264345) (-1307 "XPBWPOLY.spad" 2262106 2262126 2263449 2263518) (-1306 "XF.spad" 2260569 2260584 2262008 2262101) (-1305 "XF.spad" 2259012 2259029 2260453 2260458) (-1304 "XFALG.spad" 2256060 2256076 2258938 2259007) (-1303 "XEXPPKG.spad" 2255311 2255337 2256050 2256055) (-1302 "XDPOLY.spad" 2254925 2254941 2255167 2255236) (-1301 "XALG.spad" 2254585 2254596 2254881 2254920) (-1300 "WUTSET.spad" 2250424 2250441 2254231 2254258) (-1299 "WP.spad" 2249623 2249667 2250282 2250349) (-1298 "WHILEAST.spad" 2249421 2249430 2249613 2249618) (-1297 "WHEREAST.spad" 2249092 2249101 2249411 2249416) (-1296 "WFFINTBS.spad" 2246755 2246777 2249082 2249087) (-1295 "WEIER.spad" 2244977 2244988 2246745 2246750) (-1294 "VSPACE.spad" 2244650 2244661 2244945 2244972) (-1293 "VSPACE.spad" 2244343 2244356 2244640 2244645) (-1292 "VOID.spad" 2244020 2244029 2244333 2244338) (-1291 "VIEW.spad" 2241700 2241709 2244010 2244015) (-1290 "VIEWDEF.spad" 2236901 2236910 2241690 2241695) (-1289 "VIEW3D.spad" 2220862 2220871 2236891 2236896) (-1288 "VIEW2D.spad" 2208753 2208762 2220852 2220857) (-1287 "VECTOR.spad" 2207427 2207438 2207678 2207705) (-1286 "VECTOR2.spad" 2206066 2206079 2207417 2207422) (-1285 "VECTCAT.spad" 2203970 2203981 2206034 2206061) (-1284 "VECTCAT.spad" 2201681 2201694 2203747 2203752) (-1283 "VARIABLE.spad" 2201461 2201476 2201671 2201676) (-1282 "UTYPE.spad" 2201105 2201114 2201451 2201456) (-1281 "UTSODETL.spad" 2200400 2200424 2201061 2201066) (-1280 "UTSODE.spad" 2198616 2198636 2200390 2200395) (-1279 "UTS.spad" 2193563 2193591 2197083 2197180) (-1278 "UTSCAT.spad" 2191042 2191058 2193461 2193558) (-1277 "UTSCAT.spad" 2188165 2188183 2190586 2190591) (-1276 "UTS2.spad" 2187760 2187795 2188155 2188160) (-1275 "URAGG.spad" 2182433 2182444 2187750 2187755) (-1274 "URAGG.spad" 2177070 2177083 2182389 2182394) (-1273 "UPXSSING.spad" 2174715 2174741 2176151 2176284) (-1272 "UPXS.spad" 2172011 2172039 2172847 2172996) (-1271 "UPXSCONS.spad" 2169770 2169790 2170143 2170292) (-1270 "UPXSCCA.spad" 2168341 2168361 2169616 2169765) (-1269 "UPXSCCA.spad" 2167054 2167076 2168331 2168336) (-1268 "UPXSCAT.spad" 2165643 2165659 2166900 2167049) (-1267 "UPXS2.spad" 2165186 2165239 2165633 2165638) (-1266 "UPSQFREE.spad" 2163600 2163614 2165176 2165181) (-1265 "UPSCAT.spad" 2161387 2161411 2163498 2163595) (-1264 "UPSCAT.spad" 2158880 2158906 2160993 2160998) (-1263 "UPOLYC.spad" 2153920 2153931 2158722 2158875) (-1262 "UPOLYC.spad" 2148852 2148865 2153656 2153661) (-1261 "UPOLYC2.spad" 2148323 2148342 2148842 2148847) (-1260 "UP.spad" 2145429 2145444 2145816 2145969) (-1259 "UPMP.spad" 2144329 2144342 2145419 2145424) (-1258 "UPDIVP.spad" 2143894 2143908 2144319 2144324) (-1257 "UPDECOMP.spad" 2142139 2142153 2143884 2143889) (-1256 "UPCDEN.spad" 2141348 2141364 2142129 2142134) (-1255 "UP2.spad" 2140712 2140733 2141338 2141343) (-1254 "UNISEG.spad" 2140065 2140076 2140631 2140636) (-1253 "UNISEG2.spad" 2139562 2139575 2140021 2140026) (-1252 "UNIFACT.spad" 2138665 2138677 2139552 2139557) (-1251 "ULS.spad" 2128449 2128477 2129394 2129823) (-1250 "ULSCONS.spad" 2119583 2119603 2119953 2120102) (-1249 "ULSCCAT.spad" 2117320 2117340 2119429 2119578) (-1248 "ULSCCAT.spad" 2115165 2115187 2117276 2117281) (-1247 "ULSCAT.spad" 2113397 2113413 2115011 2115160) (-1246 "ULS2.spad" 2112911 2112964 2113387 2113392) (-1245 "UINT8.spad" 2112788 2112797 2112901 2112906) (-1244 "UINT64.spad" 2112664 2112673 2112778 2112783) (-1243 "UINT32.spad" 2112540 2112549 2112654 2112659) (-1242 "UINT16.spad" 2112416 2112425 2112530 2112535) (-1241 "UFD.spad" 2111481 2111490 2112342 2112411) (-1240 "UFD.spad" 2110608 2110619 2111471 2111476) (-1239 "UDVO.spad" 2109489 2109498 2110598 2110603) (-1238 "UDPO.spad" 2106982 2106993 2109445 2109450) (-1237 "TYPE.spad" 2106914 2106923 2106972 2106977) (-1236 "TYPEAST.spad" 2106833 2106842 2106904 2106909) (-1235 "TWOFACT.spad" 2105485 2105500 2106823 2106828) (-1234 "TUPLE.spad" 2104971 2104982 2105384 2105389) (-1233 "TUBETOOL.spad" 2101838 2101847 2104961 2104966) (-1232 "TUBE.spad" 2100485 2100502 2101828 2101833) (-1231 "TS.spad" 2099084 2099100 2100050 2100147) (-1230 "TSETCAT.spad" 2086211 2086228 2099052 2099079) (-1229 "TSETCAT.spad" 2073324 2073343 2086167 2086172) (-1228 "TRMANIP.spad" 2067690 2067707 2073030 2073035) (-1227 "TRIMAT.spad" 2066653 2066678 2067680 2067685) (-1226 "TRIGMNIP.spad" 2065180 2065197 2066643 2066648) (-1225 "TRIGCAT.spad" 2064692 2064701 2065170 2065175) (-1224 "TRIGCAT.spad" 2064202 2064213 2064682 2064687) (-1223 "TREE.spad" 2062777 2062788 2063809 2063836) (-1222 "TRANFUN.spad" 2062616 2062625 2062767 2062772) (-1221 "TRANFUN.spad" 2062453 2062464 2062606 2062611) (-1220 "TOPSP.spad" 2062127 2062136 2062443 2062448) (-1219 "TOOLSIGN.spad" 2061790 2061801 2062117 2062122) (-1218 "TEXTFILE.spad" 2060351 2060360 2061780 2061785) (-1217 "TEX.spad" 2057497 2057506 2060341 2060346) (-1216 "TEX1.spad" 2057053 2057064 2057487 2057492) (-1215 "TEMUTL.spad" 2056608 2056617 2057043 2057048) (-1214 "TBCMPPK.spad" 2054701 2054724 2056598 2056603) (-1213 "TBAGG.spad" 2053751 2053774 2054681 2054696) (-1212 "TBAGG.spad" 2052809 2052834 2053741 2053746) (-1211 "TANEXP.spad" 2052217 2052228 2052799 2052804) (-1210 "TALGOP.spad" 2051941 2051952 2052207 2052212) (-1209 "TABLE.spad" 2050352 2050375 2050622 2050649) (-1208 "TABLEAU.spad" 2049833 2049844 2050342 2050347) (-1207 "TABLBUMP.spad" 2046636 2046647 2049823 2049828) (-1206 "SYSTEM.spad" 2045864 2045873 2046626 2046631) (-1205 "SYSSOLP.spad" 2043347 2043358 2045854 2045859) (-1204 "SYSPTR.spad" 2043246 2043255 2043337 2043342) (-1203 "SYSNNI.spad" 2042428 2042439 2043236 2043241) (-1202 "SYSINT.spad" 2041832 2041843 2042418 2042423) (-1201 "SYNTAX.spad" 2038038 2038047 2041822 2041827) (-1200 "SYMTAB.spad" 2036106 2036115 2038028 2038033) (-1199 "SYMS.spad" 2032129 2032138 2036096 2036101) (-1198 "SYMPOLY.spad" 2031136 2031147 2031218 2031345) (-1197 "SYMFUNC.spad" 2030637 2030648 2031126 2031131) (-1196 "SYMBOL.spad" 2028140 2028149 2030627 2030632) (-1195 "SWITCH.spad" 2024911 2024920 2028130 2028135) (-1194 "SUTS.spad" 2021959 2021987 2023378 2023475) (-1193 "SUPXS.spad" 2019242 2019270 2020091 2020240) (-1192 "SUP.spad" 2015962 2015973 2016735 2016888) (-1191 "SUPFRACF.spad" 2015067 2015085 2015952 2015957) (-1190 "SUP2.spad" 2014459 2014472 2015057 2015062) (-1189 "SUMRF.spad" 2013433 2013444 2014449 2014454) (-1188 "SUMFS.spad" 2013070 2013087 2013423 2013428) (-1187 "SULS.spad" 2002841 2002869 2003799 2004228) (-1186 "SUCHTAST.spad" 2002610 2002619 2002831 2002836) (-1185 "SUCH.spad" 2002292 2002307 2002600 2002605) (-1184 "SUBSPACE.spad" 1994407 1994422 2002282 2002287) (-1183 "SUBRESP.spad" 1993577 1993591 1994363 1994368) (-1182 "STTF.spad" 1989676 1989692 1993567 1993572) (-1181 "STTFNC.spad" 1986144 1986160 1989666 1989671) (-1180 "STTAYLOR.spad" 1978779 1978790 1986025 1986030) (-1179 "STRTBL.spad" 1977284 1977301 1977433 1977460) (-1178 "STRING.spad" 1976693 1976702 1976707 1976734) (-1177 "STRICAT.spad" 1976481 1976490 1976661 1976688) (-1176 "STREAM.spad" 1973399 1973410 1976006 1976021) (-1175 "STREAM3.spad" 1972972 1972987 1973389 1973394) (-1174 "STREAM2.spad" 1972100 1972113 1972962 1972967) (-1173 "STREAM1.spad" 1971806 1971817 1972090 1972095) (-1172 "STINPROD.spad" 1970742 1970758 1971796 1971801) (-1171 "STEP.spad" 1969943 1969952 1970732 1970737) (-1170 "STEPAST.spad" 1969177 1969186 1969933 1969938) (-1169 "STBL.spad" 1967703 1967731 1967870 1967885) (-1168 "STAGG.spad" 1966778 1966789 1967693 1967698) (-1167 "STAGG.spad" 1965851 1965864 1966768 1966773) (-1166 "STACK.spad" 1965208 1965219 1965458 1965485) (-1165 "SREGSET.spad" 1962912 1962929 1964854 1964881) (-1164 "SRDCMPK.spad" 1961473 1961493 1962902 1962907) (-1163 "SRAGG.spad" 1956616 1956625 1961441 1961468) (-1162 "SRAGG.spad" 1951779 1951790 1956606 1956611) (-1161 "SQMATRIX.spad" 1949358 1949376 1950274 1950361) (-1160 "SPLTREE.spad" 1943910 1943923 1948794 1948821) (-1159 "SPLNODE.spad" 1940498 1940511 1943900 1943905) (-1158 "SPFCAT.spad" 1939307 1939316 1940488 1940493) (-1157 "SPECOUT.spad" 1937859 1937868 1939297 1939302) (-1156 "SPADXPT.spad" 1929454 1929463 1937849 1937854) (-1155 "spad-parser.spad" 1928919 1928928 1929444 1929449) (-1154 "SPADAST.spad" 1928620 1928629 1928909 1928914) (-1153 "SPACEC.spad" 1912819 1912830 1928610 1928615) (-1152 "SPACE3.spad" 1912595 1912606 1912809 1912814) (-1151 "SORTPAK.spad" 1912144 1912157 1912551 1912556) (-1150 "SOLVETRA.spad" 1909907 1909918 1912134 1912139) (-1149 "SOLVESER.spad" 1908435 1908446 1909897 1909902) (-1148 "SOLVERAD.spad" 1904461 1904472 1908425 1908430) (-1147 "SOLVEFOR.spad" 1902923 1902941 1904451 1904456) (-1146 "SNTSCAT.spad" 1902523 1902540 1902891 1902918) (-1145 "SMTS.spad" 1900795 1900821 1902088 1902185) (-1144 "SMP.spad" 1898270 1898290 1898660 1898787) (-1143 "SMITH.spad" 1897115 1897140 1898260 1898265) (-1142 "SMATCAT.spad" 1895225 1895255 1897059 1897110) (-1141 "SMATCAT.spad" 1893267 1893299 1895103 1895108) (-1140 "SKAGG.spad" 1892230 1892241 1893235 1893262) (-1139 "SINT.spad" 1891170 1891179 1892096 1892225) (-1138 "SIMPAN.spad" 1890898 1890907 1891160 1891165) (-1137 "SIG.spad" 1890228 1890237 1890888 1890893) (-1136 "SIGNRF.spad" 1889346 1889357 1890218 1890223) (-1135 "SIGNEF.spad" 1888625 1888642 1889336 1889341) (-1134 "SIGAST.spad" 1888010 1888019 1888615 1888620) (-1133 "SHP.spad" 1885938 1885953 1887966 1887971) (-1132 "SHDP.spad" 1874141 1874168 1874650 1874749) (-1131 "SGROUP.spad" 1873749 1873758 1874131 1874136) (-1130 "SGROUP.spad" 1873355 1873366 1873739 1873744) (-1129 "SGCF.spad" 1866494 1866503 1873345 1873350) (-1128 "SFRTCAT.spad" 1865424 1865441 1866462 1866489) (-1127 "SFRGCD.spad" 1864487 1864507 1865414 1865419) (-1126 "SFQCMPK.spad" 1859124 1859144 1864477 1864482) (-1125 "SFORT.spad" 1858563 1858577 1859114 1859119) (-1124 "SEXOF.spad" 1858406 1858446 1858553 1858558) (-1123 "SEX.spad" 1858298 1858307 1858396 1858401) (-1122 "SEXCAT.spad" 1856079 1856119 1858288 1858293) (-1121 "SET.spad" 1854403 1854414 1855500 1855539) (-1120 "SETMN.spad" 1852853 1852870 1854393 1854398) (-1119 "SETCAT.spad" 1852175 1852184 1852843 1852848) (-1118 "SETCAT.spad" 1851495 1851506 1852165 1852170) (-1117 "SETAGG.spad" 1848044 1848055 1851475 1851490) (-1116 "SETAGG.spad" 1844601 1844614 1848034 1848039) (-1115 "SEQAST.spad" 1844304 1844313 1844591 1844596) (-1114 "SEGXCAT.spad" 1843460 1843473 1844294 1844299) (-1113 "SEG.spad" 1843273 1843284 1843379 1843384) (-1112 "SEGCAT.spad" 1842198 1842209 1843263 1843268) (-1111 "SEGBIND.spad" 1841956 1841967 1842145 1842150) (-1110 "SEGBIND2.spad" 1841654 1841667 1841946 1841951) (-1109 "SEGAST.spad" 1841368 1841377 1841644 1841649) (-1108 "SEG2.spad" 1840803 1840816 1841324 1841329) (-1107 "SDVAR.spad" 1840079 1840090 1840793 1840798) (-1106 "SDPOL.spad" 1837412 1837423 1837703 1837830) (-1105 "SCPKG.spad" 1835501 1835512 1837402 1837407) (-1104 "SCOPE.spad" 1834654 1834663 1835491 1835496) (-1103 "SCACHE.spad" 1833350 1833361 1834644 1834649) (-1102 "SASTCAT.spad" 1833259 1833268 1833340 1833345) (-1101 "SAOS.spad" 1833131 1833140 1833249 1833254) (-1100 "SAERFFC.spad" 1832844 1832864 1833121 1833126) (-1099 "SAE.spad" 1830314 1830330 1830925 1831060) (-1098 "SAEFACT.spad" 1830015 1830035 1830304 1830309) (-1097 "RURPK.spad" 1827674 1827690 1830005 1830010) (-1096 "RULESET.spad" 1827127 1827151 1827664 1827669) (-1095 "RULE.spad" 1825367 1825391 1827117 1827122) (-1094 "RULECOLD.spad" 1825219 1825232 1825357 1825362) (-1093 "RTVALUE.spad" 1824954 1824963 1825209 1825214) (-1092 "RSTRCAST.spad" 1824671 1824680 1824944 1824949) (-1091 "RSETGCD.spad" 1821049 1821069 1824661 1824666) (-1090 "RSETCAT.spad" 1810985 1811002 1821017 1821044) (-1089 "RSETCAT.spad" 1800941 1800960 1810975 1810980) (-1088 "RSDCMPK.spad" 1799393 1799413 1800931 1800936) (-1087 "RRCC.spad" 1797777 1797807 1799383 1799388) (-1086 "RRCC.spad" 1796159 1796191 1797767 1797772) (-1085 "RPTAST.spad" 1795861 1795870 1796149 1796154) (-1084 "RPOLCAT.spad" 1775221 1775236 1795729 1795856) (-1083 "RPOLCAT.spad" 1754294 1754311 1774804 1774809) (-1082 "ROUTINE.spad" 1750177 1750186 1752941 1752968) (-1081 "ROMAN.spad" 1749505 1749514 1750043 1750172) (-1080 "ROIRC.spad" 1748585 1748617 1749495 1749500) (-1079 "RNS.spad" 1747488 1747497 1748487 1748580) (-1078 "RNS.spad" 1746477 1746488 1747478 1747483) (-1077 "RNG.spad" 1746212 1746221 1746467 1746472) (-1076 "RNGBIND.spad" 1745372 1745386 1746167 1746172) (-1075 "RMODULE.spad" 1745137 1745148 1745362 1745367) (-1074 "RMCAT2.spad" 1744557 1744614 1745127 1745132) (-1073 "RMATRIX.spad" 1743381 1743400 1743724 1743763) (-1072 "RMATCAT.spad" 1738960 1738991 1743337 1743376) (-1071 "RMATCAT.spad" 1734429 1734462 1738808 1738813) (-1070 "RLINSET.spad" 1733984 1733995 1734419 1734424) (-1069 "RINTERP.spad" 1733872 1733892 1733974 1733979) (-1068 "RING.spad" 1733342 1733351 1733852 1733867) (-1067 "RING.spad" 1732820 1732831 1733332 1733337) (-1066 "RIDIST.spad" 1732212 1732221 1732810 1732815) (-1065 "RGCHAIN.spad" 1730795 1730811 1731697 1731724) (-1064 "RGBCSPC.spad" 1730576 1730588 1730785 1730790) (-1063 "RGBCMDL.spad" 1730106 1730118 1730566 1730571) (-1062 "RF.spad" 1727748 1727759 1730096 1730101) (-1061 "RFFACTOR.spad" 1727210 1727221 1727738 1727743) (-1060 "RFFACT.spad" 1726945 1726957 1727200 1727205) (-1059 "RFDIST.spad" 1725941 1725950 1726935 1726940) (-1058 "RETSOL.spad" 1725360 1725373 1725931 1725936) (-1057 "RETRACT.spad" 1724788 1724799 1725350 1725355) (-1056 "RETRACT.spad" 1724214 1724227 1724778 1724783) (-1055 "RETAST.spad" 1724026 1724035 1724204 1724209) (-1054 "RESULT.spad" 1722086 1722095 1722673 1722700) (-1053 "RESRING.spad" 1721433 1721480 1722024 1722081) (-1052 "RESLATC.spad" 1720757 1720768 1721423 1721428) (-1051 "REPSQ.spad" 1720488 1720499 1720747 1720752) (-1050 "REP.spad" 1718042 1718051 1720478 1720483) (-1049 "REPDB.spad" 1717749 1717760 1718032 1718037) (-1048 "REP2.spad" 1707407 1707418 1717591 1717596) (-1047 "REP1.spad" 1701603 1701614 1707357 1707362) (-1046 "REGSET.spad" 1699400 1699417 1701249 1701276) (-1045 "REF.spad" 1698735 1698746 1699355 1699360) (-1044 "REDORDER.spad" 1697941 1697958 1698725 1698730) (-1043 "RECLOS.spad" 1696724 1696744 1697428 1697521) (-1042 "REALSOLV.spad" 1695864 1695873 1696714 1696719) (-1041 "REAL.spad" 1695736 1695745 1695854 1695859) (-1040 "REAL0Q.spad" 1693034 1693049 1695726 1695731) (-1039 "REAL0.spad" 1689878 1689893 1693024 1693029) (-1038 "RDUCEAST.spad" 1689599 1689608 1689868 1689873) (-1037 "RDIV.spad" 1689254 1689279 1689589 1689594) (-1036 "RDIST.spad" 1688821 1688832 1689244 1689249) (-1035 "RDETRS.spad" 1687685 1687703 1688811 1688816) (-1034 "RDETR.spad" 1685824 1685842 1687675 1687680) (-1033 "RDEEFS.spad" 1684923 1684940 1685814 1685819) (-1032 "RDEEF.spad" 1683933 1683950 1684913 1684918) (-1031 "RCFIELD.spad" 1681119 1681128 1683835 1683928) (-1030 "RCFIELD.spad" 1678391 1678402 1681109 1681114) (-1029 "RCAGG.spad" 1676319 1676330 1678381 1678386) (-1028 "RCAGG.spad" 1674174 1674187 1676238 1676243) (-1027 "RATRET.spad" 1673534 1673545 1674164 1674169) (-1026 "RATFACT.spad" 1673226 1673238 1673524 1673529) (-1025 "RANDSRC.spad" 1672545 1672554 1673216 1673221) (-1024 "RADUTIL.spad" 1672301 1672310 1672535 1672540) (-1023 "RADIX.spad" 1669125 1669139 1670671 1670764) (-1022 "RADFF.spad" 1666864 1666901 1666983 1667139) (-1021 "RADCAT.spad" 1666459 1666468 1666854 1666859) (-1020 "RADCAT.spad" 1666052 1666063 1666449 1666454) (-1019 "QUEUE.spad" 1665400 1665411 1665659 1665686) (-1018 "QUAT.spad" 1663888 1663899 1664231 1664296) (-1017 "QUATCT2.spad" 1663508 1663527 1663878 1663883) (-1016 "QUATCAT.spad" 1661678 1661689 1663438 1663503) (-1015 "QUATCAT.spad" 1659599 1659612 1661361 1661366) (-1014 "QUAGG.spad" 1658426 1658437 1659567 1659594) (-1013 "QQUTAST.spad" 1658194 1658203 1658416 1658421) (-1012 "QFORM.spad" 1657812 1657827 1658184 1658189) (-1011 "QFCAT.spad" 1656514 1656525 1657714 1657807) (-1010 "QFCAT.spad" 1654807 1654820 1656009 1656014) (-1009 "QFCAT2.spad" 1654499 1654516 1654797 1654802) (-1008 "QEQUAT.spad" 1654057 1654066 1654489 1654494) (-1007 "QCMPACK.spad" 1648803 1648823 1654047 1654052) (-1006 "QALGSET.spad" 1644881 1644914 1648717 1648722) (-1005 "QALGSET2.spad" 1642876 1642895 1644871 1644876) (-1004 "PWFFINTB.spad" 1640291 1640313 1642866 1642871) (-1003 "PUSHVAR.spad" 1639629 1639649 1640281 1640286) (-1002 "PTRANFN.spad" 1635756 1635767 1639619 1639624) (-1001 "PTPACK.spad" 1632843 1632854 1635746 1635751) (-1000 "PTFUNC2.spad" 1632665 1632680 1632833 1632838) (-999 "PTCAT.spad" 1631920 1631930 1632633 1632660) (-998 "PSQFR.spad" 1631227 1631251 1631910 1631915) (-997 "PSEUDLIN.spad" 1630113 1630123 1631217 1631222) (-996 "PSETPK.spad" 1615546 1615562 1629991 1629996) (-995 "PSETCAT.spad" 1609466 1609489 1615526 1615541) (-994 "PSETCAT.spad" 1603360 1603385 1609422 1609427) (-993 "PSCURVE.spad" 1602343 1602351 1603350 1603355) (-992 "PSCAT.spad" 1601126 1601155 1602241 1602338) (-991 "PSCAT.spad" 1599999 1600030 1601116 1601121) (-990 "PRTITION.spad" 1598697 1598705 1599989 1599994) (-989 "PRTDAST.spad" 1598416 1598424 1598687 1598692) (-988 "PRS.spad" 1587978 1587995 1598372 1598377) (-987 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1440553) (-893 "script-parser.spad" 1439875 1439883 1440345 1440350) (-892 "PARSCURV.spad" 1439309 1439337 1439865 1439870) (-891 "PARSC2.spad" 1439100 1439116 1439299 1439304) (-890 "PARPCURV.spad" 1438562 1438590 1439090 1439095) (-889 "PARPC2.spad" 1438353 1438369 1438552 1438557) (-888 "PARAMAST.spad" 1437481 1437489 1438343 1438348) (-887 "PAN2EXPR.spad" 1436893 1436901 1437471 1437476) (-886 "PALETTE.spad" 1435863 1435871 1436883 1436888) (-885 "PAIR.spad" 1434850 1434863 1435451 1435456) (-884 "PADICRC.spad" 1432091 1432109 1433262 1433355) (-883 "PADICRAT.spad" 1429999 1430011 1430220 1430313) (-882 "PADIC.spad" 1429694 1429706 1429925 1429994) (-881 "PADICCT.spad" 1428243 1428255 1429620 1429689) (-880 "PADEPAC.spad" 1426932 1426951 1428233 1428238) (-879 "PADE.spad" 1425684 1425700 1426922 1426927) (-878 "OWP.spad" 1424924 1424954 1425542 1425609) (-877 "OVERSET.spad" 1424497 1424505 1424914 1424919) (-876 "OVAR.spad" 1424278 1424301 1424487 1424492) (-875 "OUT.spad" 1423364 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1367125) (-837 "OMERR.spad" 1366509 1366517 1366954 1366959) (-836 "OMERRK.spad" 1365543 1365551 1366499 1366504) (-835 "OMENC.spad" 1364887 1364895 1365533 1365538) (-834 "OMDEV.spad" 1359196 1359204 1364877 1364882) (-833 "OMCONN.spad" 1358605 1358613 1359186 1359191) (-832 "OINTDOM.spad" 1358368 1358376 1358531 1358600) (-831 "OFMONOID.spad" 1356491 1356501 1358324 1358329) (-830 "ODVAR.spad" 1355752 1355762 1356481 1356486) (-829 "ODR.spad" 1355396 1355422 1355564 1355713) (-828 "ODPOL.spad" 1352685 1352695 1353025 1353152) (-827 "ODP.spad" 1341024 1341044 1341397 1341496) (-826 "ODETOOLS.spad" 1339673 1339692 1341014 1341019) (-825 "ODESYS.spad" 1337367 1337384 1339663 1339668) (-824 "ODERTRIC.spad" 1333376 1333393 1337324 1337329) (-823 "ODERED.spad" 1332775 1332799 1333366 1333371) (-822 "ODERAT.spad" 1330390 1330407 1332765 1332770) (-821 "ODEPRRIC.spad" 1327427 1327449 1330380 1330385) (-820 "ODEPROB.spad" 1326684 1326692 1327417 1327422) (-819 "ODEPRIM.spad" 1324018 1324040 1326674 1326679) (-818 "ODEPAL.spad" 1323404 1323428 1324008 1324013) (-817 "ODEPACK.spad" 1310070 1310078 1323394 1323399) (-816 "ODEINT.spad" 1309505 1309521 1310060 1310065) (-815 "ODEIFTBL.spad" 1306900 1306908 1309495 1309500) (-814 "ODEEF.spad" 1302391 1302407 1306890 1306895) (-813 "ODECONST.spad" 1301928 1301946 1302381 1302386) (-812 "ODECAT.spad" 1300526 1300534 1301918 1301923) (-811 "OCT.spad" 1298662 1298672 1299376 1299415) (-810 "OCTCT2.spad" 1298308 1298329 1298652 1298657) (-809 "OC.spad" 1296104 1296114 1298264 1298303) (-808 "OC.spad" 1293625 1293637 1295787 1295792) (-807 "OCAMON.spad" 1293473 1293481 1293615 1293620) (-806 "OASGP.spad" 1293288 1293296 1293463 1293468) (-805 "OAMONS.spad" 1292810 1292818 1293278 1293283) (-804 "OAMON.spad" 1292671 1292679 1292800 1292805) (-803 "OAGROUP.spad" 1292533 1292541 1292661 1292666) (-802 "NUMTUBE.spad" 1292124 1292140 1292523 1292528) (-801 "NUMQUAD.spad" 1280100 1280108 1292114 1292119) (-800 "NUMODE.spad" 1271454 1271462 1280090 1280095) (-799 "NUMINT.spad" 1269020 1269028 1271444 1271449) (-798 "NUMFMT.spad" 1267860 1267868 1269010 1269015) (-797 "NUMERIC.spad" 1259974 1259984 1267665 1267670) (-796 "NTSCAT.spad" 1258482 1258498 1259942 1259969) (-795 "NTPOLFN.spad" 1258033 1258043 1258399 1258404) (-794 "NSUP.spad" 1250986 1250996 1255526 1255679) (-793 "NSUP2.spad" 1250378 1250390 1250976 1250981) (-792 "NSMP.spad" 1246608 1246627 1246916 1247043) (-791 "NREP.spad" 1244986 1245000 1246598 1246603) (-790 "NPCOEF.spad" 1244232 1244252 1244976 1244981) (-789 "NORMRETR.spad" 1243830 1243869 1244222 1244227) (-788 "NORMPK.spad" 1241732 1241751 1243820 1243825) (-787 "NORMMA.spad" 1241420 1241446 1241722 1241727) (-786 "NONE.spad" 1241161 1241169 1241410 1241415) (-785 "NONE1.spad" 1240837 1240847 1241151 1241156) (-784 "NODE1.spad" 1240324 1240340 1240827 1240832) (-783 "NNI.spad" 1239219 1239227 1240298 1240319) (-782 "NLINSOL.spad" 1237845 1237855 1239209 1239214) (-781 "NIPROB.spad" 1236386 1236394 1237835 1237840) (-780 "NFINTBAS.spad" 1233946 1233963 1236376 1236381) (-779 "NETCLT.spad" 1233920 1233931 1233936 1233941) (-778 "NCODIV.spad" 1232136 1232152 1233910 1233915) (-777 "NCNTFRAC.spad" 1231778 1231792 1232126 1232131) (-776 "NCEP.spad" 1229944 1229958 1231768 1231773) (-775 "NASRING.spad" 1229540 1229548 1229934 1229939) (-774 "NASRING.spad" 1229134 1229144 1229530 1229535) (-773 "NARNG.spad" 1228486 1228494 1229124 1229129) (-772 "NARNG.spad" 1227836 1227846 1228476 1228481) (-771 "NAGSP.spad" 1226913 1226921 1227826 1227831) (-770 "NAGS.spad" 1216574 1216582 1226903 1226908) (-769 "NAGF07.spad" 1215005 1215013 1216564 1216569) (-768 "NAGF04.spad" 1209407 1209415 1214995 1215000) (-767 "NAGF02.spad" 1203476 1203484 1209397 1209402) (-766 "NAGF01.spad" 1199237 1199245 1203466 1203471) (-765 "NAGE04.spad" 1192937 1192945 1199227 1199232) (-764 "NAGE02.spad" 1183597 1183605 1192927 1192932) (-763 "NAGE01.spad" 1179599 1179607 1183587 1183592) (-762 "NAGD03.spad" 1177603 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"MODMON.spad" 1120860 1120876 1121579 1121732) (-723 "MODFIELD.spad" 1120222 1120261 1120762 1120855) (-722 "MMLFORM.spad" 1119082 1119090 1120212 1120217) (-721 "MMAP.spad" 1118824 1118858 1119072 1119077) (-720 "MLO.spad" 1117283 1117293 1118780 1118819) (-719 "MLIFT.spad" 1115895 1115912 1117273 1117278) (-718 "MKUCFUNC.spad" 1115430 1115448 1115885 1115890) (-717 "MKRECORD.spad" 1115034 1115047 1115420 1115425) (-716 "MKFUNC.spad" 1114441 1114451 1115024 1115029) (-715 "MKFLCFN.spad" 1113409 1113419 1114431 1114436) (-714 "MKBCFUNC.spad" 1112904 1112922 1113399 1113404) (-713 "MINT.spad" 1112343 1112351 1112806 1112899) (-712 "MHROWRED.spad" 1110854 1110864 1112333 1112338) (-711 "MFLOAT.spad" 1109374 1109382 1110744 1110849) (-710 "MFINFACT.spad" 1108774 1108796 1109364 1109369) (-709 "MESH.spad" 1106556 1106564 1108764 1108769) (-708 "MDDFACT.spad" 1104767 1104777 1106546 1106551) (-707 "MDAGG.spad" 1104058 1104068 1104747 1104762) (-706 "MCMPLX.spad" 1099489 1099497 1100103 1100304) (-705 "MCDEN.spad" 1098699 1098711 1099479 1099484) (-704 "MCALCFN.spad" 1095821 1095847 1098689 1098694) (-703 "MAYBE.spad" 1095105 1095116 1095811 1095816) (-702 "MATSTOR.spad" 1092413 1092423 1095095 1095100) (-701 "MATRIX.spad" 1091117 1091127 1091601 1091628) (-700 "MATLIN.spad" 1088461 1088485 1091001 1091006) (-699 "MATCAT.spad" 1080190 1080212 1088429 1088456) (-698 "MATCAT.spad" 1071791 1071815 1080032 1080037) (-697 "MATCAT2.spad" 1071073 1071121 1071781 1071786) (-696 "MAPPKG3.spad" 1069988 1070002 1071063 1071068) (-695 "MAPPKG2.spad" 1069326 1069338 1069978 1069983) (-694 "MAPPKG1.spad" 1068154 1068164 1069316 1069321) (-693 "MAPPAST.spad" 1067469 1067477 1068144 1068149) (-692 "MAPHACK3.spad" 1067281 1067295 1067459 1067464) (-691 "MAPHACK2.spad" 1067050 1067062 1067271 1067276) (-690 "MAPHACK1.spad" 1066694 1066704 1067040 1067045) (-689 "MAGMA.spad" 1064484 1064501 1066684 1066689) (-688 "MACROAST.spad" 1064063 1064071 1064474 1064479) (-687 "M3D.spad" 1061783 1061793 1063441 1063446) (-686 "LZSTAGG.spad" 1059021 1059031 1061773 1061778) (-685 "LZSTAGG.spad" 1056257 1056269 1059011 1059016) (-684 "LWORD.spad" 1052962 1052979 1056247 1056252) (-683 "LSTAST.spad" 1052746 1052754 1052952 1052957) (-682 "LSQM.spad" 1050939 1050953 1051333 1051384) (-681 "LSPP.spad" 1050474 1050491 1050929 1050934) (-680 "LSMP.spad" 1049324 1049352 1050464 1050469) (-679 "LSMP1.spad" 1047142 1047156 1049314 1049319) (-678 "LSAGG.spad" 1046811 1046821 1047110 1047137) (-677 "LSAGG.spad" 1046500 1046512 1046801 1046806) (-676 "LPOLY.spad" 1045454 1045473 1046356 1046425) (-675 "LPEFRAC.spad" 1044725 1044735 1045444 1045449) (-674 "LO.spad" 1044126 1044140 1044659 1044686) (-673 "LOGIC.spad" 1043728 1043736 1044116 1044121) (-672 "LOGIC.spad" 1043328 1043338 1043718 1043723) (-671 "LODOOPS.spad" 1042258 1042270 1043318 1043323) (-670 "LODO.spad" 1041642 1041658 1041938 1041977) (-669 "LODOF.spad" 1040688 1040705 1041599 1041604) (-668 "LODOCAT.spad" 1039354 1039364 1040644 1040683) (-667 "LODOCAT.spad" 1038018 1038030 1039310 1039315) (-666 "LODO2.spad" 1037291 1037303 1037698 1037737) (-665 "LODO1.spad" 1036691 1036701 1036971 1037010) (-664 "LODEEF.spad" 1035493 1035511 1036681 1036686) (-663 "LNAGG.spad" 1031640 1031650 1035483 1035488) (-662 "LNAGG.spad" 1027751 1027763 1031596 1031601) (-661 "LMOPS.spad" 1024519 1024536 1027741 1027746) (-660 "LMODULE.spad" 1024287 1024297 1024509 1024514) (-659 "LMDICT.spad" 1023574 1023584 1023838 1023865) (-658 "LLINSET.spad" 1023132 1023142 1023564 1023569) (-657 "LITERAL.spad" 1023038 1023049 1023122 1023127) (-656 "LIST.spad" 1020773 1020783 1022185 1022212) (-655 "LIST3.spad" 1020084 1020098 1020763 1020768) (-654 "LIST2.spad" 1018786 1018798 1020074 1020079) (-653 "LIST2MAP.spad" 1015689 1015701 1018776 1018781) (-652 "LINSET.spad" 1015468 1015478 1015679 1015684) (-651 "LINEXP.spad" 1014606 1014616 1015458 1015463) (-650 "LINDEP.spad" 1013415 1013427 1014518 1014523) (-649 "LIMITRF.spad" 1011343 1011353 1013405 1013410) (-648 "LIMITPS.spad" 1010246 1010259 1011333 1011338) (-647 "LIE.spad" 1008262 1008274 1009536 1009681) (-646 "LIECAT.spad" 1007738 1007748 1008188 1008257) (-645 "LIECAT.spad" 1007242 1007254 1007694 1007699) (-644 "LIB.spad" 1005455 1005463 1005901 1005916) (-643 "LGROBP.spad" 1002808 1002827 1005445 1005450) (-642 "LF.spad" 1001763 1001779 1002798 1002803) (-641 "LFCAT.spad" 1000822 1000830 1001753 1001758) (-640 "LEXTRIPK.spad" 996325 996340 1000812 1000817) (-639 "LEXP.spad" 994328 994355 996305 996320) (-638 "LETAST.spad" 994027 994035 994318 994323) (-637 "LEADCDET.spad" 992425 992442 994017 994022) (-636 "LAZM3PK.spad" 991129 991151 992415 992420) (-635 "LAUPOL.spad" 989729 989742 990629 990698) (-634 "LAPLACE.spad" 989312 989328 989719 989724) (-633 "LA.spad" 988752 988766 989234 989273) (-632 "LALG.spad" 988528 988538 988732 988747) (-631 "LALG.spad" 988312 988324 988518 988523) (-630 "KVTFROM.spad" 988047 988057 988302 988307) (-629 "KTVLOGIC.spad" 987559 987567 988037 988042) (-628 "KRCFROM.spad" 987297 987307 987549 987554) (-627 "KOVACIC.spad" 986020 986037 987287 987292) (-626 "KONVERT.spad" 985742 985752 986010 986015) (-625 "KOERCE.spad" 985479 985489 985732 985737) (-624 "KERNEL.spad" 984134 984144 985263 985268) (-623 "KERNEL2.spad" 983837 983849 984124 984129) (-622 "KDAGG.spad" 982946 982968 983817 983832) (-621 "KDAGG.spad" 982063 982087 982936 982941) (-620 "KAFILE.spad" 981026 981042 981261 981288) (-619 "JORDAN.spad" 978855 978867 980316 980461) (-618 "JOINAST.spad" 978549 978557 978845 978850) (-617 "JAVACODE.spad" 978415 978423 978539 978544) (-616 "IXAGG.spad" 976548 976572 978405 978410) (-615 "IXAGG.spad" 974536 974562 976395 976400) (-614 "IVECTOR.spad" 973306 973321 973461 973488) (-613 "ITUPLE.spad" 972467 972477 973296 973301) (-612 "ITRIGMNP.spad" 971306 971325 972457 972462) (-611 "ITFUN3.spad" 970812 970826 971296 971301) (-610 "ITFUN2.spad" 970556 970568 970802 970807) (-609 "ITFORM.spad" 969911 969919 970546 970551) (-608 "ITAYLOR.spad" 967905 967920 969775 969872) (-607 "ISUPS.spad" 960342 960357 966879 966976) (-606 "ISUMP.spad" 959843 959859 960332 960337) (-605 "ISTRING.spad" 958931 958944 959012 959039) (-604 "ISAST.spad" 958650 958658 958921 958926) (-603 "IRURPK.spad" 957367 957386 958640 958645) (-602 "IRSN.spad" 955339 955347 957357 957362) (-601 "IRRF2F.spad" 953824 953834 955295 955300) (-600 "IRREDFFX.spad" 953425 953436 953814 953819) (-599 "IROOT.spad" 951764 951774 953415 953420) (-598 "IR.spad" 949565 949579 951619 951646) (-597 "IRFORM.spad" 948889 948897 949555 949560) (-596 "IR2.spad" 947917 947933 948879 948884) (-595 "IR2F.spad" 947123 947139 947907 947912) (-594 "IPRNTPK.spad" 946883 946891 947113 947118) (-593 "IPF.spad" 946448 946460 946688 946781) (-592 "IPADIC.spad" 946209 946235 946374 946443) (-591 "IP4ADDR.spad" 945766 945774 946199 946204) (-590 "IOMODE.spad" 945288 945296 945756 945761) (-589 "IOBFILE.spad" 944649 944657 945278 945283) (-588 "IOBCON.spad" 944514 944522 944639 944644) (-587 "INVLAPLA.spad" 944163 944179 944504 944509) (-586 "INTTR.spad" 937545 937562 944153 944158) (-585 "INTTOOLS.spad" 935300 935316 937119 937124) (-584 "INTSLPE.spad" 934620 934628 935290 935295) (-583 "INTRVL.spad" 934186 934196 934534 934615) (-582 "INTRF.spad" 932610 932624 934176 934181) (-581 "INTRET.spad" 932042 932052 932600 932605) (-580 "INTRAT.spad" 930769 930786 932032 932037) (-579 "INTPM.spad" 929154 929170 930412 930417) (-578 "INTPAF.spad" 927018 927036 929086 929091) (-577 "INTPACK.spad" 917392 917400 927008 927013) (-576 "INT.spad" 916840 916848 917246 917387) (-575 "INTHERTR.spad" 916114 916131 916830 916835) (-574 "INTHERAL.spad" 915784 915808 916104 916109) (-573 "INTHEORY.spad" 912223 912231 915774 915779) (-572 "INTG0.spad" 905956 905974 912155 912160) (-571 "INTFTBL.spad" 899985 899993 905946 905951) (-570 "INTFACT.spad" 899044 899054 899975 899980) (-569 "INTEF.spad" 897429 897445 899034 899039) (-568 "INTDOM.spad" 896052 896060 897355 897424) (-567 "INTDOM.spad" 894737 894747 896042 896047) (-566 "INTCAT.spad" 892996 893006 894651 894732) (-565 "INTBIT.spad" 892503 892511 892986 892991) (-564 "INTALG.spad" 891691 891718 892493 892498) (-563 "INTAF.spad" 891191 891207 891681 891686) (-562 "INTABL.spad" 889709 889740 889872 889899) (-561 "INT8.spad" 889589 889597 889699 889704) (-560 "INT64.spad" 889468 889476 889579 889584) (-559 "INT32.spad" 889347 889355 889458 889463) (-558 "INT16.spad" 889226 889234 889337 889342) (-557 "INS.spad" 886729 886737 889128 889221) (-556 "INS.spad" 884318 884328 886719 886724) (-555 "INPSIGN.spad" 883766 883779 884308 884313) (-554 "INPRODPF.spad" 882862 882881 883756 883761) (-553 "INPRODFF.spad" 881950 881974 882852 882857) (-552 "INNMFACT.spad" 880925 880942 881940 881945) (-551 "INMODGCD.spad" 880413 880443 880915 880920) (-550 "INFSP.spad" 878710 878732 880403 880408) (-549 "INFPROD0.spad" 877790 877809 878700 878705) (-548 "INFORM.spad" 874989 874997 877780 877785) (-547 "INFORM1.spad" 874614 874624 874979 874984) (-546 "INFINITY.spad" 874166 874174 874604 874609) (-545 "INETCLTS.spad" 874143 874151 874156 874161) (-544 "INEP.spad" 872681 872703 874133 874138) (-543 "INDE.spad" 872410 872427 872671 872676) (-542 "INCRMAPS.spad" 871831 871841 872400 872405) (-541 "INBFILE.spad" 870903 870911 871821 871826) (-540 "INBFF.spad" 866697 866708 870893 870898) (-539 "INBCON.spad" 864987 864995 866687 866692) (-538 "INBCON.spad" 863275 863285 864977 864982) (-537 "INAST.spad" 862936 862944 863265 863270) (-536 "IMPTAST.spad" 862644 862652 862926 862931) (-535 "IMATRIX.spad" 861589 861615 862101 862128) (-534 "IMATQF.spad" 860683 860727 861545 861550) (-533 "IMATLIN.spad" 859288 859312 860639 860644) (-532 "ILIST.spad" 857946 857961 858471 858498) (-531 "IIARRAY2.spad" 857334 857372 857553 857580) (-530 "IFF.spad" 856744 856760 857015 857108) (-529 "IFAST.spad" 856358 856366 856734 856739) (-528 "IFARRAY.spad" 853851 853866 855541 855568) (-527 "IFAMON.spad" 853713 853730 853807 853812) (-526 "IEVALAB.spad" 853118 853130 853703 853708) (-525 "IEVALAB.spad" 852521 852535 853108 853113) (-524 "IDPO.spad" 852319 852331 852511 852516) (-523 "IDPOAMS.spad" 852075 852087 852309 852314) (-522 "IDPOAM.spad" 851795 851807 852065 852070) (-521 "IDPC.spad" 850733 850745 851785 851790) (-520 "IDPAM.spad" 850478 850490 850723 850728) (-519 "IDPAG.spad" 850225 850237 850468 850473) (-518 "IDENT.spad" 849875 849883 850215 850220) (-517 "IDECOMP.spad" 847114 847132 849865 849870) (-516 "IDEAL.spad" 842063 842102 847049 847054) (-515 "ICDEN.spad" 841252 841268 842053 842058) (-514 "ICARD.spad" 840443 840451 841242 841247) (-513 "IBPTOOLS.spad" 839050 839067 840433 840438) (-512 "IBITS.spad" 838253 838266 838686 838713) (-511 "IBATOOL.spad" 835230 835249 838243 838248) (-510 "IBACHIN.spad" 833737 833752 835220 835225) (-509 "IARRAY2.spad" 832725 832751 833344 833371) (-508 "IARRAY1.spad" 831770 831785 831908 831935) (-507 "IAN.spad" 829993 830001 831586 831679) (-506 "IALGFACT.spad" 829596 829629 829983 829988) (-505 "HYPCAT.spad" 829020 829028 829586 829591) (-504 "HYPCAT.spad" 828442 828452 829010 829015) (-503 "HOSTNAME.spad" 828250 828258 828432 828437) (-502 "HOMOTOP.spad" 827993 828003 828240 828245) (-501 "HOAGG.spad" 825275 825285 827983 827988) (-500 "HOAGG.spad" 822332 822344 825042 825047) (-499 "HEXADEC.spad" 820337 820345 820702 820795) (-498 "HEUGCD.spad" 819372 819383 820327 820332) (-497 "HELLFDIV.spad" 818962 818986 819362 819367) (-496 "HEAP.spad" 818354 818364 818569 818596) (-495 "HEADAST.spad" 817887 817895 818344 818349) (-494 "HDP.spad" 806222 806238 806599 806698) (-493 "HDMP.spad" 803436 803451 804052 804179) (-492 "HB.spad" 801687 801695 803426 803431) (-491 "HASHTBL.spad" 800157 800188 800368 800395) (-490 "HASAST.spad" 799873 799881 800147 800152) (-489 "HACKPI.spad" 799364 799372 799775 799868) (-488 "GTSET.spad" 798303 798319 799010 799037) (-487 "GSTBL.spad" 796822 796857 796996 797011) (-486 "GSERIES.spad" 794135 794162 794954 795103) (-485 "GROUP.spad" 793408 793416 794115 794130) (-484 "GROUP.spad" 792689 792699 793398 793403) (-483 "GROEBSOL.spad" 791183 791204 792679 792684) (-482 "GRMOD.spad" 789754 789766 791173 791178) (-481 "GRMOD.spad" 788323 788337 789744 789749) (-480 "GRIMAGE.spad" 781212 781220 788313 788318) (-479 "GRDEF.spad" 779591 779599 781202 781207) (-478 "GRAY.spad" 778054 778062 779581 779586) (-477 "GRALG.spad" 777131 777143 778044 778049) (-476 "GRALG.spad" 776206 776220 777121 777126) (-475 "GPOLSET.spad" 775660 775683 775888 775915) (-474 "GOSPER.spad" 774929 774947 775650 775655) (-473 "GMODPOL.spad" 774077 774104 774897 774924) (-472 "GHENSEL.spad" 773160 773174 774067 774072) (-471 "GENUPS.spad" 769453 769466 773150 773155) (-470 "GENUFACT.spad" 769030 769040 769443 769448) (-469 "GENPGCD.spad" 768616 768633 769020 769025) (-468 "GENMFACT.spad" 768068 768087 768606 768611) (-467 "GENEEZ.spad" 766019 766032 768058 768063) (-466 "GDMP.spad" 763075 763092 763849 763976) (-465 "GCNAALG.spad" 756998 757025 762869 762936) (-464 "GCDDOM.spad" 756174 756182 756924 756993) (-463 "GCDDOM.spad" 755412 755422 756164 756169) (-462 "GB.spad" 752938 752976 755368 755373) (-461 "GBINTERN.spad" 748958 748996 752928 752933) (-460 "GBF.spad" 744725 744763 748948 748953) (-459 "GBEUCLID.spad" 742607 742645 744715 744720) (-458 "GAUSSFAC.spad" 741920 741928 742597 742602) (-457 "GALUTIL.spad" 740246 740256 741876 741881) (-456 "GALPOLYU.spad" 738700 738713 740236 740241) (-455 "GALFACTU.spad" 736873 736892 738690 738695) (-454 "GALFACT.spad" 727062 727073 736863 736868) (-453 "FVFUN.spad" 724085 724093 727052 727057) (-452 "FVC.spad" 723137 723145 724075 724080) (-451 "FUNDESC.spad" 722815 722823 723127 723132) (-450 "FUNCTION.spad" 722664 722676 722805 722810) (-449 "FT.spad" 720961 720969 722654 722659) (-448 "FTEM.spad" 720126 720134 720951 720956) (-447 "FSUPFACT.spad" 719026 719045 720062 720067) (-446 "FST.spad" 717112 717120 719016 719021) (-445 "FSRED.spad" 716592 716608 717102 717107) (-444 "FSPRMELT.spad" 715474 715490 716549 716554) (-443 "FSPECF.spad" 713565 713581 715464 715469) (-442 "FS.spad" 707833 707843 713340 713560) (-441 "FS.spad" 701879 701891 707388 707393) (-440 "FSINT.spad" 701539 701555 701869 701874) (-439 "FSERIES.spad" 700730 700742 701359 701458) (-438 "FSCINT.spad" 700047 700063 700720 700725) (-437 "FSAGG.spad" 699164 699174 700003 700042) (-436 "FSAGG.spad" 698243 698255 699084 699089) (-435 "FSAGG2.spad" 696986 697002 698233 698238) (-434 "FS2UPS.spad" 691477 691511 696976 696981) (-433 "FS2.spad" 691124 691140 691467 691472) (-432 "FS2EXPXP.spad" 690249 690272 691114 691119) (-431 "FRUTIL.spad" 689203 689213 690239 690244) (-430 "FR.spad" 682826 682836 688134 688203) (-429 "FRNAALG.spad" 678095 678105 682768 682821) (-428 "FRNAALG.spad" 673376 673388 678051 678056) (-427 "FRNAAF2.spad" 672832 672850 673366 673371) (-426 "FRMOD.spad" 672242 672272 672763 672768) (-425 "FRIDEAL.spad" 671467 671488 672222 672237) (-424 "FRIDEAL2.spad" 671071 671103 671457 671462) (-423 "FRETRCT.spad" 670582 670592 671061 671066) (-422 "FRETRCT.spad" 669959 669971 670440 670445) (-421 "FRAMALG.spad" 668307 668320 669915 669954) (-420 "FRAMALG.spad" 666687 666702 668297 668302) (-419 "FRAC.spad" 663693 663703 664096 664269) (-418 "FRAC2.spad" 663298 663310 663683 663688) (-417 "FR2.spad" 662634 662646 663288 663293) (-416 "FPS.spad" 659449 659457 662524 662629) (-415 "FPS.spad" 656292 656302 659369 659374) (-414 "FPC.spad" 655338 655346 656194 656287) (-413 "FPC.spad" 654470 654480 655328 655333) (-412 "FPATMAB.spad" 654232 654242 654460 654465) (-411 "FPARFRAC.spad" 653082 653099 654222 654227) (-410 "FORTRAN.spad" 651588 651631 653072 653077) (-409 "FORT.spad" 650537 650545 651578 651583) (-408 "FORTFN.spad" 647707 647715 650527 650532) (-407 "FORTCAT.spad" 647391 647399 647697 647702) (-406 "FORMULA.spad" 644865 644873 647381 647386) (-405 "FORMULA1.spad" 644344 644354 644855 644860) (-404 "FORDER.spad" 644035 644059 644334 644339) (-403 "FOP.spad" 643236 643244 644025 644030) (-402 "FNLA.spad" 642660 642682 643204 643231) (-401 "FNCAT.spad" 641255 641263 642650 642655) (-400 "FNAME.spad" 641147 641155 641245 641250) (-399 "FMTC.spad" 640945 640953 641073 641142) (-398 "FMONOID.spad" 640610 640620 640901 640906) (-397 "FMONCAT.spad" 637763 637773 640600 640605) (-396 "FM.spad" 637458 637470 637697 637724) (-395 "FMFUN.spad" 634488 634496 637448 637453) (-394 "FMC.spad" 633540 633548 634478 634483) (-393 "FMCAT.spad" 631208 631226 633508 633535) (-392 "FM1.spad" 630565 630577 631142 631169) (-391 "FLOATRP.spad" 628300 628314 630555 630560) (-390 "FLOAT.spad" 621614 621622 628166 628295) (-389 "FLOATCP.spad" 619045 619059 621604 621609) (-388 "FLINEXP.spad" 618767 618777 619035 619040) (-387 "FLINEXP.spad" 618433 618445 618703 618708) (-386 "FLASORT.spad" 617759 617771 618423 618428) (-385 "FLALG.spad" 615405 615424 617685 617754) (-384 "FLAGG.spad" 612447 612457 615385 615400) (-383 "FLAGG.spad" 609390 609402 612330 612335) (-382 "FLAGG2.spad" 608115 608131 609380 609385) (-381 "FINRALG.spad" 606176 606189 608071 608110) (-380 "FINRALG.spad" 604163 604178 606060 606065) (-379 "FINITE.spad" 603315 603323 604153 604158) (-378 "FINAALG.spad" 592436 592446 603257 603310) (-377 "FINAALG.spad" 581569 581581 592392 592397) (-376 "FILE.spad" 581152 581162 581559 581564) (-375 "FILECAT.spad" 579678 579695 581142 581147) (-374 "FIELD.spad" 579084 579092 579580 579673) (-373 "FIELD.spad" 578576 578586 579074 579079) (-372 "FGROUP.spad" 577223 577233 578556 578571) (-371 "FGLMICPK.spad" 576010 576025 577213 577218) (-370 "FFX.spad" 575385 575400 575726 575819) (-369 "FFSLPE.spad" 574888 574909 575375 575380) (-368 "FFPOLY.spad" 566150 566161 574878 574883) (-367 "FFPOLY2.spad" 565210 565227 566140 566145) (-366 "FFP.spad" 564607 564627 564926 565019) (-365 "FF.spad" 564055 564071 564288 564381) (-364 "FFNBX.spad" 562567 562587 563771 563864) (-363 "FFNBP.spad" 561080 561097 562283 562376) (-362 "FFNB.spad" 559545 559566 560761 560854) (-361 "FFINTBAS.spad" 557059 557078 559535 559540) (-360 "FFIELDC.spad" 554636 554644 556961 557054) (-359 "FFIELDC.spad" 552299 552309 554626 554631) (-358 "FFHOM.spad" 551047 551064 552289 552294) (-357 "FFF.spad" 548482 548493 551037 551042) (-356 "FFCGX.spad" 547329 547349 548198 548291) (-355 "FFCGP.spad" 546218 546238 547045 547138) (-354 "FFCG.spad" 545010 545031 545899 545992) (-353 "FFCAT.spad" 538183 538205 544849 545005) (-352 "FFCAT.spad" 531435 531459 538103 538108) (-351 "FFCAT2.spad" 531182 531222 531425 531430) (-350 "FEXPR.spad" 522899 522945 530938 530977) (-349 "FEVALAB.spad" 522607 522617 522889 522894) (-348 "FEVALAB.spad" 522100 522112 522384 522389) (-347 "FDIV.spad" 521542 521566 522090 522095) (-346 "FDIVCAT.spad" 519606 519630 521532 521537) (-345 "FDIVCAT.spad" 517668 517694 519596 519601) (-344 "FDIV2.spad" 517324 517364 517658 517663) (-343 "FCTRDATA.spad" 516332 516340 517314 517319) (-342 "FCPAK1.spad" 514899 514907 516322 516327) (-341 "FCOMP.spad" 514278 514288 514889 514894) (-340 "FC.spad" 504285 504293 514268 514273) (-339 "FAXF.spad" 497256 497270 504187 504280) (-338 "FAXF.spad" 490279 490295 497212 497217) (-337 "FARRAY.spad" 488429 488439 489462 489489) (-336 "FAMR.spad" 486565 486577 488327 488424) (-335 "FAMR.spad" 484685 484699 486449 486454) (-334 "FAMONOID.spad" 484353 484363 484639 484644) (-333 "FAMONC.spad" 482649 482661 484343 484348) (-332 "FAGROUP.spad" 482273 482283 482545 482572) (-331 "FACUTIL.spad" 480477 480494 482263 482268) (-330 "FACTFUNC.spad" 479671 479681 480467 480472) (-329 "EXPUPXS.spad" 476504 476527 477803 477952) (-328 "EXPRTUBE.spad" 473792 473800 476494 476499) (-327 "EXPRODE.spad" 470952 470968 473782 473787) (-326 "EXPR.spad" 466127 466137 466841 467136) (-325 "EXPR2UPS.spad" 462249 462262 466117 466122) (-324 "EXPR2.spad" 461954 461966 462239 462244) (-323 "EXPEXPAN.spad" 458755 458780 459387 459480) (-322 "EXIT.spad" 458426 458434 458745 458750) (-321 "EXITAST.spad" 458162 458170 458416 458421) (-320 "EVALCYC.spad" 457622 457636 458152 458157) (-319 "EVALAB.spad" 457194 457204 457612 457617) (-318 "EVALAB.spad" 456764 456776 457184 457189) (-317 "EUCDOM.spad" 454338 454346 456690 456759) (-316 "EUCDOM.spad" 451974 451984 454328 454333) (-315 "ESTOOLS.spad" 443820 443828 451964 451969) (-314 "ESTOOLS2.spad" 443423 443437 443810 443815) (-313 "ESTOOLS1.spad" 443108 443119 443413 443418) (-312 "ES.spad" 435923 435931 443098 443103) (-311 "ES.spad" 428644 428654 435821 435826) (-310 "ESCONT.spad" 425437 425445 428634 428639) (-309 "ESCONT1.spad" 425186 425198 425427 425432) (-308 "ES2.spad" 424691 424707 425176 425181) (-307 "ES1.spad" 424261 424277 424681 424686) (-306 "ERROR.spad" 421588 421596 424251 424256) (-305 "EQTBL.spad" 420060 420082 420269 420296) (-304 "EQ.spad" 414865 414875 417652 417764) (-303 "EQ2.spad" 414583 414595 414855 414860) (-302 "EP.spad" 410909 410919 414573 414578) (-301 "ENV.spad" 409587 409595 410899 410904) (-300 "ENTIRER.spad" 409255 409263 409531 409582) (-299 "EMR.spad" 408543 408584 409181 409250) (-298 "ELTAGG.spad" 406797 406816 408533 408538) (-297 "ELTAGG.spad" 405015 405036 406753 406758) (-296 "ELTAB.spad" 404490 404503 405005 405010) (-295 "ELFUTS.spad" 403877 403896 404480 404485) (-294 "ELEMFUN.spad" 403566 403574 403867 403872) (-293 "ELEMFUN.spad" 403253 403263 403556 403561) (-292 "ELAGG.spad" 401224 401234 403233 403248) (-291 "ELAGG.spad" 399132 399144 401143 401148) (-290 "ELABOR.spad" 398478 398486 399122 399127) (-289 "ELABEXPR.spad" 397410 397418 398468 398473) (-288 "EFUPXS.spad" 394186 394216 397366 397371) (-287 "EFULS.spad" 391022 391045 394142 394147) (-286 "EFSTRUC.spad" 389037 389053 391012 391017) (-285 "EF.spad" 383813 383829 389027 389032) (-284 "EAB.spad" 382089 382097 383803 383808) (-283 "E04UCFA.spad" 381625 381633 382079 382084) (-282 "E04NAFA.spad" 381202 381210 381615 381620) (-281 "E04MBFA.spad" 380782 380790 381192 381197) (-280 "E04JAFA.spad" 380318 380326 380772 380777) (-279 "E04GCFA.spad" 379854 379862 380308 380313) (-278 "E04FDFA.spad" 379390 379398 379844 379849) (-277 "E04DGFA.spad" 378926 378934 379380 379385) (-276 "E04AGNT.spad" 374776 374784 378916 378921) (-275 "DVARCAT.spad" 371666 371676 374766 374771) (-274 "DVARCAT.spad" 368554 368566 371656 371661) (-273 "DSMP.spad" 365928 365942 366233 366360) (-272 "DSEXT.spad" 365230 365240 365918 365923) (-271 "DSEXT.spad" 364439 364451 365129 365134) (-270 "DROPT.spad" 358398 358406 364429 364434) (-269 "DROPT1.spad" 358063 358073 358388 358393) (-268 "DROPT0.spad" 352920 352928 358053 358058) (-267 "DRAWPT.spad" 351093 351101 352910 352915) (-266 "DRAW.spad" 343969 343982 351083 351088) (-265 "DRAWHACK.spad" 343277 343287 343959 343964) (-264 "DRAWCX.spad" 340747 340755 343267 343272) (-263 "DRAWCURV.spad" 340294 340309 340737 340742) (-262 "DRAWCFUN.spad" 329826 329834 340284 340289) (-261 "DQAGG.spad" 328004 328014 329794 329821) (-260 "DPOLCAT.spad" 323353 323369 327872 327999) (-259 "DPOLCAT.spad" 318788 318806 323309 323314) (-258 "DPMO.spad" 310584 310600 310722 310935) (-257 "DPMM.spad" 302393 302411 302518 302731) (-256 "DOMTMPLT.spad" 302164 302172 302383 302388) (-255 "DOMCTOR.spad" 301919 301927 302154 302159) (-254 "DOMAIN.spad" 301006 301014 301909 301914) (-253 "DMP.spad" 298266 298281 298836 298963) (-252 "DMEXT.spad" 298133 298143 298234 298261) (-251 "DLP.spad" 297485 297495 298123 298128) (-250 "DLIST.spad" 296064 296074 296668 296695) (-249 "DLAGG.spad" 294481 294491 296054 296059) (-248 "DIVRING.spad" 294023 294031 294425 294476) (-247 "DIVRING.spad" 293609 293619 294013 294018) (-246 "DISPLAY.spad" 291799 291807 293599 293604) (-245 "DIRPROD.spad" 279871 279887 280511 280610) (-244 "DIRPROD2.spad" 278689 278707 279861 279866) (-243 "DIRPCAT.spad" 277882 277898 278585 278684) (-242 "DIRPCAT.spad" 276702 276720 277407 277412) (-241 "DIOSP.spad" 275527 275535 276692 276697) (-240 "DIOPS.spad" 274523 274533 275507 275522) (-239 "DIOPS.spad" 273493 273505 274479 274484) (-238 "DIFRING.spad" 273331 273339 273473 273488) (-237 "DIFFSPC.spad" 272910 272918 273321 273326) (-236 "DIFFSPC.spad" 272487 272497 272900 272905) (-235 "DIFFMOD.spad" 271976 271986 272455 272482) (-234 "DIFFDOM.spad" 271141 271152 271966 271971) (-233 "DIFFDOM.spad" 270304 270317 271131 271136) (-232 "DIFEXT.spad" 270123 270133 270284 270299) (-231 "DIAGG.spad" 269753 269763 270103 270118) (-230 "DIAGG.spad" 269391 269403 269743 269748) (-229 "DHMATRIX.spad" 267703 267713 268848 268875) (-228 "DFSFUN.spad" 261343 261351 267693 267698) (-227 "DFLOAT.spad" 258074 258082 261233 261338) (-226 "DFINTTLS.spad" 256305 256321 258064 258069) (-225 "DERHAM.spad" 254219 254251 256285 256300) (-224 "DEQUEUE.spad" 253543 253553 253826 253853) (-223 "DEGRED.spad" 253160 253174 253533 253538) (-222 "DEFINTRF.spad" 250697 250707 253150 253155) (-221 "DEFINTEF.spad" 249207 249223 250687 250692) (-220 "DEFAST.spad" 248575 248583 249197 249202) (-219 "DECIMAL.spad" 246584 246592 246945 247038) (-218 "DDFACT.spad" 244397 244414 246574 246579) (-217 "DBLRESP.spad" 243997 244021 244387 244392) (-216 "DBASE.spad" 242661 242671 243987 243992) (-215 "DATAARY.spad" 242123 242136 242651 242656) (-214 "D03FAFA.spad" 241951 241959 242113 242118) (-213 "D03EEFA.spad" 241771 241779 241941 241946) (-212 "D03AGNT.spad" 240857 240865 241761 241766) (-211 "D02EJFA.spad" 240319 240327 240847 240852) (-210 "D02CJFA.spad" 239797 239805 240309 240314) (-209 "D02BHFA.spad" 239287 239295 239787 239792) (-208 "D02BBFA.spad" 238777 238785 239277 239282) (-207 "D02AGNT.spad" 233591 233599 238767 238772) (-206 "D01WGTS.spad" 231910 231918 233581 233586) (-205 "D01TRNS.spad" 231887 231895 231900 231905) (-204 "D01GBFA.spad" 231409 231417 231877 231882) (-203 "D01FCFA.spad" 230931 230939 231399 231404) (-202 "D01ASFA.spad" 230399 230407 230921 230926) (-201 "D01AQFA.spad" 229845 229853 230389 230394) (-200 "D01APFA.spad" 229269 229277 229835 229840) (-199 "D01ANFA.spad" 228763 228771 229259 229264) (-198 "D01AMFA.spad" 228273 228281 228753 228758) (-197 "D01ALFA.spad" 227813 227821 228263 228268) (-196 "D01AKFA.spad" 227339 227347 227803 227808) (-195 "D01AJFA.spad" 226862 226870 227329 227334) (-194 "D01AGNT.spad" 222929 222937 226852 226857) (-193 "CYCLOTOM.spad" 222435 222443 222919 222924) (-192 "CYCLES.spad" 219227 219235 222425 222430) (-191 "CVMP.spad" 218644 218654 219217 219222) (-190 "CTRIGMNP.spad" 217144 217160 218634 218639) (-189 "CTOR.spad" 216835 216843 217134 217139) (-188 "CTORKIND.spad" 216438 216446 216825 216830) (-187 "CTORCAT.spad" 215687 215695 216428 216433) (-186 "CTORCAT.spad" 214934 214944 215677 215682) (-185 "CTORCALL.spad" 214523 214533 214924 214929) (-184 "CSTTOOLS.spad" 213768 213781 214513 214518) (-183 "CRFP.spad" 207492 207505 213758 213763) (-182 "CRCEAST.spad" 207212 207220 207482 207487) (-181 "CRAPACK.spad" 206263 206273 207202 207207) (-180 "CPMATCH.spad" 205767 205782 206188 206193) (-179 "CPIMA.spad" 205472 205491 205757 205762) (-178 "COORDSYS.spad" 200481 200491 205462 205467) (-177 "CONTOUR.spad" 199892 199900 200471 200476) (-176 "CONTFRAC.spad" 195642 195652 199794 199887) (-175 "CONDUIT.spad" 195400 195408 195632 195637) (-174 "COMRING.spad" 195074 195082 195338 195395) (-173 "COMPPROP.spad" 194592 194600 195064 195069) (-172 "COMPLPAT.spad" 194359 194374 194582 194587) (-171 "COMPLEX.spad" 189736 189746 189980 190241) (-170 "COMPLEX2.spad" 189451 189463 189726 189731) (-169 "COMPILER.spad" 189000 189008 189441 189446) (-168 "COMPFACT.spad" 188602 188616 188990 188995) (-167 "COMPCAT.spad" 186674 186684 188336 188597) (-166 "COMPCAT.spad" 184474 184486 186138 186143) (-165 "COMMUPC.spad" 184222 184240 184464 184469) (-164 "COMMONOP.spad" 183755 183763 184212 184217) (-163 "COMM.spad" 183566 183574 183745 183750) (-162 "COMMAAST.spad" 183329 183337 183556 183561) (-161 "COMBOPC.spad" 182244 182252 183319 183324) (-160 "COMBINAT.spad" 181011 181021 182234 182239) (-159 "COMBF.spad" 178393 178409 181001 181006) (-158 "COLOR.spad" 177230 177238 178383 178388) (-157 "COLONAST.spad" 176896 176904 177220 177225) (-156 "CMPLXRT.spad" 176607 176624 176886 176891) (-155 "CLLCTAST.spad" 176269 176277 176597 176602) (-154 "CLIP.spad" 172377 172385 176259 176264) (-153 "CLIF.spad" 171032 171048 172333 172372) (-152 "CLAGG.spad" 167537 167547 171022 171027) (-151 "CLAGG.spad" 163913 163925 167400 167405) (-150 "CINTSLPE.spad" 163244 163257 163903 163908) (-149 "CHVAR.spad" 161382 161404 163234 163239) (-148 "CHARZ.spad" 161297 161305 161362 161377) (-147 "CHARPOL.spad" 160807 160817 161287 161292) (-146 "CHARNZ.spad" 160560 160568 160787 160802) (-145 "CHAR.spad" 158434 158442 160550 160555) (-144 "CFCAT.spad" 157762 157770 158424 158429) (-143 "CDEN.spad" 156958 156972 157752 157757) (-142 "CCLASS.spad" 155107 155115 156369 156408) (-141 "CATEGORY.spad" 154149 154157 155097 155102) (-140 "CATCTOR.spad" 154040 154048 154139 154144) (-139 "CATAST.spad" 153658 153666 154030 154035) (-138 "CASEAST.spad" 153372 153380 153648 153653) (-137 "CARTEN.spad" 148739 148763 153362 153367) (-136 "CARTEN2.spad" 148129 148156 148729 148734) (-135 "CARD.spad" 145424 145432 148103 148124) (-134 "CAPSLAST.spad" 145198 145206 145414 145419) (-133 "CACHSET.spad" 144822 144830 145188 145193) (-132 "CABMON.spad" 144377 144385 144812 144817) (-131 "BYTEORD.spad" 144052 144060 144367 144372) (-130 "BYTE.spad" 143479 143487 144042 144047) (-129 "BYTEBUF.spad" 141338 141346 142648 142675) (-128 "BTREE.spad" 140411 140421 140945 140972) (-127 "BTOURN.spad" 139416 139426 140018 140045) (-126 "BTCAT.spad" 138808 138818 139384 139411) (-125 "BTCAT.spad" 138220 138232 138798 138803) (-124 "BTAGG.spad" 137686 137694 138188 138215) (-123 "BTAGG.spad" 137172 137182 137676 137681) (-122 "BSTREE.spad" 135913 135923 136779 136806) (-121 "BRILL.spad" 134110 134121 135903 135908) (-120 "BRAGG.spad" 133050 133060 134100 134105) (-119 "BRAGG.spad" 131954 131966 133006 133011) (-118 "BPADICRT.spad" 129828 129840 130083 130176) (-117 "BPADIC.spad" 129492 129504 129754 129823) (-116 "BOUNDZRO.spad" 129148 129165 129482 129487) (-115 "BOP.spad" 124330 124338 129138 129143) (-114 "BOP1.spad" 121796 121806 124320 124325) (-113 "BOOLE.spad" 121446 121454 121786 121791) (-112 "BOOLEAN.spad" 120884 120892 121436 121441) (-111 "BMODULE.spad" 120596 120608 120852 120879) (-110 "BITS.spad" 120017 120025 120232 120259) (-109 "BINDING.spad" 119430 119438 120007 120012) (-108 "BINARY.spad" 117444 117452 117800 117893) (-107 "BGAGG.spad" 116649 116659 117424 117439) (-106 "BGAGG.spad" 115862 115874 116639 116644) (-105 "BFUNCT.spad" 115426 115434 115842 115857) (-104 "BEZOUT.spad" 114566 114593 115376 115381) (-103 "BBTREE.spad" 111411 111421 114173 114200) (-102 "BASTYPE.spad" 111083 111091 111401 111406) (-101 "BASTYPE.spad" 110753 110763 111073 111078) (-100 "BALFACT.spad" 110212 110225 110743 110748) (-99 "AUTOMOR.spad" 109663 109672 110192 110207) (-98 "ATTREG.spad" 106386 106393 109415 109658) (-97 "ATTRBUT.spad" 102409 102416 106366 106381) (-96 "ATTRAST.spad" 102126 102133 102399 102404) (-95 "ATRIG.spad" 101596 101603 102116 102121) (-94 "ATRIG.spad" 101064 101073 101586 101591) (-93 "ASTCAT.spad" 100968 100975 101054 101059) (-92 "ASTCAT.spad" 100870 100879 100958 100963) (-91 "ASTACK.spad" 100209 100218 100477 100504) (-90 "ASSOCEQ.spad" 99035 99046 100165 100170) (-89 "ASP9.spad" 98116 98129 99025 99030) (-88 "ASP8.spad" 97159 97172 98106 98111) (-87 "ASP80.spad" 96481 96494 97149 97154) (-86 "ASP7.spad" 95641 95654 96471 96476) (-85 "ASP78.spad" 95092 95105 95631 95636) (-84 "ASP77.spad" 94461 94474 95082 95087) (-83 "ASP74.spad" 93553 93566 94451 94456) (-82 "ASP73.spad" 92824 92837 93543 93548) (-81 "ASP6.spad" 91691 91704 92814 92819) (-80 "ASP55.spad" 90200 90213 91681 91686) (-79 "ASP50.spad" 88017 88030 90190 90195) (-78 "ASP4.spad" 87312 87325 88007 88012) (-77 "ASP49.spad" 86311 86324 87302 87307) (-76 "ASP42.spad" 84718 84757 86301 86306) (-75 "ASP41.spad" 83297 83336 84708 84713) (-74 "ASP35.spad" 82285 82298 83287 83292) (-73 "ASP34.spad" 81586 81599 82275 82280) (-72 "ASP33.spad" 81146 81159 81576 81581) (-71 "ASP31.spad" 80286 80299 81136 81141) (-70 "ASP30.spad" 79178 79191 80276 80281) (-69 "ASP29.spad" 78644 78657 79168 79173) (-68 "ASP28.spad" 69917 69930 78634 78639) (-67 "ASP27.spad" 68814 68827 69907 69912) (-66 "ASP24.spad" 67901 67914 68804 68809) (-65 "ASP20.spad" 67365 67378 67891 67896) (-64 "ASP1.spad" 66746 66759 67355 67360) (-63 "ASP19.spad" 61432 61445 66736 66741) (-62 "ASP12.spad" 60846 60859 61422 61427) (-61 "ASP10.spad" 60117 60130 60836 60841) (-60 "ARRAY2.spad" 59477 59486 59724 59751) (-59 "ARRAY1.spad" 58314 58323 58660 58687) (-58 "ARRAY12.spad" 57027 57038 58304 58309) (-57 "ARR2CAT.spad" 52801 52822 56995 57022) (-56 "ARR2CAT.spad" 48595 48618 52791 52796) (-55 "ARITY.spad" 47967 47974 48585 48590) (-54 "APPRULE.spad" 47227 47249 47957 47962) (-53 "APPLYORE.spad" 46846 46859 47217 47222) (-52 "ANY.spad" 45705 45712 46836 46841) (-51 "ANY1.spad" 44776 44785 45695 45700) (-50 "ANTISYM.spad" 43221 43237 44756 44771) (-49 "ANON.spad" 42914 42921 43211 43216) (-48 "AN.spad" 41223 41230 42730 42823) (-47 "AMR.spad" 39408 39419 41121 41218) (-46 "AMR.spad" 37430 37443 39145 39150) (-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 2279277 2279282 2279287 2279292) (-2 NIL 2279257 2279262 2279267 2279272) (-1 NIL 2279237 2279242 2279247 2279252) (0 NIL 2279217 2279222 2279227 2279232) (-1316 "ZMOD.spad" 2279026 2279039 2279155 2279212) (-1315 "ZLINDEP.spad" 2278092 2278103 2279016 2279021) (-1314 "ZDSOLVE.spad" 2268037 2268059 2278082 2278087) (-1313 "YSTREAM.spad" 2267532 2267543 2268027 2268032) (-1312 "YDIAGRAM.spad" 2267166 2267175 2267522 2267527) (-1311 "XRPOLY.spad" 2266386 2266406 2267022 2267091) (-1310 "XPR.spad" 2264181 2264194 2266104 2266203) (-1309 "XPOLY.spad" 2263736 2263747 2264037 2264106) (-1308 "XPOLYC.spad" 2263055 2263071 2263662 2263731) (-1307 "XPBWPOLY.spad" 2261492 2261512 2262835 2262904) (-1306 "XF.spad" 2259955 2259970 2261394 2261487) (-1305 "XF.spad" 2258398 2258415 2259839 2259844) (-1304 "XFALG.spad" 2255446 2255462 2258324 2258393) (-1303 "XEXPPKG.spad" 2254697 2254723 2255436 2255441) (-1302 "XDPOLY.spad" 2254311 2254327 2254553 2254622) (-1301 "XALG.spad" 2253971 2253982 2254267 2254306) (-1300 "WUTSET.spad" 2249810 2249827 2253617 2253644) (-1299 "WP.spad" 2249009 2249053 2249668 2249735) (-1298 "WHILEAST.spad" 2248807 2248816 2248999 2249004) (-1297 "WHEREAST.spad" 2248478 2248487 2248797 2248802) (-1296 "WFFINTBS.spad" 2246141 2246163 2248468 2248473) (-1295 "WEIER.spad" 2244363 2244374 2246131 2246136) (-1294 "VSPACE.spad" 2244036 2244047 2244331 2244358) (-1293 "VSPACE.spad" 2243729 2243742 2244026 2244031) (-1292 "VOID.spad" 2243406 2243415 2243719 2243724) (-1291 "VIEW.spad" 2241086 2241095 2243396 2243401) (-1290 "VIEWDEF.spad" 2236287 2236296 2241076 2241081) (-1289 "VIEW3D.spad" 2220248 2220257 2236277 2236282) (-1288 "VIEW2D.spad" 2208139 2208148 2220238 2220243) (-1287 "VECTOR.spad" 2206813 2206824 2207064 2207091) (-1286 "VECTOR2.spad" 2205452 2205465 2206803 2206808) (-1285 "VECTCAT.spad" 2203356 2203367 2205420 2205447) (-1284 "VECTCAT.spad" 2201067 2201080 2203133 2203138) (-1283 "VARIABLE.spad" 2200847 2200862 2201057 2201062) (-1282 "UTYPE.spad" 2200491 2200500 2200837 2200842) (-1281 "UTSODETL.spad" 2199786 2199810 2200447 2200452) (-1280 "UTSODE.spad" 2198002 2198022 2199776 2199781) (-1279 "UTS.spad" 2192949 2192977 2196469 2196566) (-1278 "UTSCAT.spad" 2190428 2190444 2192847 2192944) (-1277 "UTSCAT.spad" 2187551 2187569 2189972 2189977) (-1276 "UTS2.spad" 2187146 2187181 2187541 2187546) (-1275 "URAGG.spad" 2181819 2181830 2187136 2187141) (-1274 "URAGG.spad" 2176456 2176469 2181775 2181780) (-1273 "UPXSSING.spad" 2174101 2174127 2175537 2175670) (-1272 "UPXS.spad" 2171397 2171425 2172233 2172382) (-1271 "UPXSCONS.spad" 2169156 2169176 2169529 2169678) (-1270 "UPXSCCA.spad" 2167727 2167747 2169002 2169151) (-1269 "UPXSCCA.spad" 2166440 2166462 2167717 2167722) (-1268 "UPXSCAT.spad" 2165029 2165045 2166286 2166435) (-1267 "UPXS2.spad" 2164572 2164625 2165019 2165024) (-1266 "UPSQFREE.spad" 2162986 2163000 2164562 2164567) (-1265 "UPSCAT.spad" 2160773 2160797 2162884 2162981) (-1264 "UPSCAT.spad" 2158266 2158292 2160379 2160384) (-1263 "UPOLYC.spad" 2153306 2153317 2158108 2158261) (-1262 "UPOLYC.spad" 2148238 2148251 2153042 2153047) (-1261 "UPOLYC2.spad" 2147709 2147728 2148228 2148233) (-1260 "UP.spad" 2144815 2144830 2145202 2145355) (-1259 "UPMP.spad" 2143715 2143728 2144805 2144810) (-1258 "UPDIVP.spad" 2143280 2143294 2143705 2143710) (-1257 "UPDECOMP.spad" 2141525 2141539 2143270 2143275) (-1256 "UPCDEN.spad" 2140734 2140750 2141515 2141520) (-1255 "UP2.spad" 2140098 2140119 2140724 2140729) (-1254 "UNISEG.spad" 2139451 2139462 2140017 2140022) (-1253 "UNISEG2.spad" 2138948 2138961 2139407 2139412) (-1252 "UNIFACT.spad" 2138051 2138063 2138938 2138943) (-1251 "ULS.spad" 2127835 2127863 2128780 2129209) (-1250 "ULSCONS.spad" 2118969 2118989 2119339 2119488) (-1249 "ULSCCAT.spad" 2116706 2116726 2118815 2118964) (-1248 "ULSCCAT.spad" 2114551 2114573 2116662 2116667) (-1247 "ULSCAT.spad" 2112783 2112799 2114397 2114546) (-1246 "ULS2.spad" 2112297 2112350 2112773 2112778) (-1245 "UINT8.spad" 2112174 2112183 2112287 2112292) (-1244 "UINT64.spad" 2112050 2112059 2112164 2112169) (-1243 "UINT32.spad" 2111926 2111935 2112040 2112045) (-1242 "UINT16.spad" 2111802 2111811 2111916 2111921) (-1241 "UFD.spad" 2110867 2110876 2111728 2111797) (-1240 "UFD.spad" 2109994 2110005 2110857 2110862) (-1239 "UDVO.spad" 2108875 2108884 2109984 2109989) (-1238 "UDPO.spad" 2106368 2106379 2108831 2108836) (-1237 "TYPE.spad" 2106300 2106309 2106358 2106363) (-1236 "TYPEAST.spad" 2106219 2106228 2106290 2106295) (-1235 "TWOFACT.spad" 2104871 2104886 2106209 2106214) (-1234 "TUPLE.spad" 2104357 2104368 2104770 2104775) (-1233 "TUBETOOL.spad" 2101224 2101233 2104347 2104352) (-1232 "TUBE.spad" 2099871 2099888 2101214 2101219) (-1231 "TS.spad" 2098470 2098486 2099436 2099533) (-1230 "TSETCAT.spad" 2085597 2085614 2098438 2098465) (-1229 "TSETCAT.spad" 2072710 2072729 2085553 2085558) (-1228 "TRMANIP.spad" 2067076 2067093 2072416 2072421) (-1227 "TRIMAT.spad" 2066039 2066064 2067066 2067071) (-1226 "TRIGMNIP.spad" 2064566 2064583 2066029 2066034) (-1225 "TRIGCAT.spad" 2064078 2064087 2064556 2064561) (-1224 "TRIGCAT.spad" 2063588 2063599 2064068 2064073) (-1223 "TREE.spad" 2062163 2062174 2063195 2063222) (-1222 "TRANFUN.spad" 2062002 2062011 2062153 2062158) (-1221 "TRANFUN.spad" 2061839 2061850 2061992 2061997) (-1220 "TOPSP.spad" 2061513 2061522 2061829 2061834) (-1219 "TOOLSIGN.spad" 2061176 2061187 2061503 2061508) (-1218 "TEXTFILE.spad" 2059737 2059746 2061166 2061171) (-1217 "TEX.spad" 2056883 2056892 2059727 2059732) (-1216 "TEX1.spad" 2056439 2056450 2056873 2056878) (-1215 "TEMUTL.spad" 2055994 2056003 2056429 2056434) (-1214 "TBCMPPK.spad" 2054087 2054110 2055984 2055989) (-1213 "TBAGG.spad" 2053137 2053160 2054067 2054082) (-1212 "TBAGG.spad" 2052195 2052220 2053127 2053132) (-1211 "TANEXP.spad" 2051603 2051614 2052185 2052190) (-1210 "TALGOP.spad" 2051327 2051338 2051593 2051598) (-1209 "TABLE.spad" 2049738 2049761 2050008 2050035) (-1208 "TABLEAU.spad" 2049219 2049230 2049728 2049733) (-1207 "TABLBUMP.spad" 2046022 2046033 2049209 2049214) (-1206 "SYSTEM.spad" 2045250 2045259 2046012 2046017) (-1205 "SYSSOLP.spad" 2042733 2042744 2045240 2045245) (-1204 "SYSPTR.spad" 2042632 2042641 2042723 2042728) (-1203 "SYSNNI.spad" 2041814 2041825 2042622 2042627) (-1202 "SYSINT.spad" 2041218 2041229 2041804 2041809) (-1201 "SYNTAX.spad" 2037424 2037433 2041208 2041213) (-1200 "SYMTAB.spad" 2035492 2035501 2037414 2037419) (-1199 "SYMS.spad" 2031515 2031524 2035482 2035487) (-1198 "SYMPOLY.spad" 2030522 2030533 2030604 2030731) (-1197 "SYMFUNC.spad" 2030023 2030034 2030512 2030517) (-1196 "SYMBOL.spad" 2027526 2027535 2030013 2030018) (-1195 "SWITCH.spad" 2024297 2024306 2027516 2027521) (-1194 "SUTS.spad" 2021345 2021373 2022764 2022861) (-1193 "SUPXS.spad" 2018628 2018656 2019477 2019626) (-1192 "SUP.spad" 2015348 2015359 2016121 2016274) (-1191 "SUPFRACF.spad" 2014453 2014471 2015338 2015343) (-1190 "SUP2.spad" 2013845 2013858 2014443 2014448) (-1189 "SUMRF.spad" 2012819 2012830 2013835 2013840) (-1188 "SUMFS.spad" 2012456 2012473 2012809 2012814) (-1187 "SULS.spad" 2002227 2002255 2003185 2003614) (-1186 "SUCHTAST.spad" 2001996 2002005 2002217 2002222) (-1185 "SUCH.spad" 2001678 2001693 2001986 2001991) (-1184 "SUBSPACE.spad" 1993793 1993808 2001668 2001673) (-1183 "SUBRESP.spad" 1992963 1992977 1993749 1993754) (-1182 "STTF.spad" 1989062 1989078 1992953 1992958) (-1181 "STTFNC.spad" 1985530 1985546 1989052 1989057) (-1180 "STTAYLOR.spad" 1978165 1978176 1985411 1985416) (-1179 "STRTBL.spad" 1976670 1976687 1976819 1976846) (-1178 "STRING.spad" 1976079 1976088 1976093 1976120) (-1177 "STRICAT.spad" 1975867 1975876 1976047 1976074) (-1176 "STREAM.spad" 1972785 1972796 1975392 1975407) (-1175 "STREAM3.spad" 1972358 1972373 1972775 1972780) (-1174 "STREAM2.spad" 1971486 1971499 1972348 1972353) (-1173 "STREAM1.spad" 1971192 1971203 1971476 1971481) (-1172 "STINPROD.spad" 1970128 1970144 1971182 1971187) (-1171 "STEP.spad" 1969329 1969338 1970118 1970123) (-1170 "STEPAST.spad" 1968563 1968572 1969319 1969324) (-1169 "STBL.spad" 1967089 1967117 1967256 1967271) (-1168 "STAGG.spad" 1966164 1966175 1967079 1967084) (-1167 "STAGG.spad" 1965237 1965250 1966154 1966159) (-1166 "STACK.spad" 1964594 1964605 1964844 1964871) (-1165 "SREGSET.spad" 1962298 1962315 1964240 1964267) (-1164 "SRDCMPK.spad" 1960859 1960879 1962288 1962293) (-1163 "SRAGG.spad" 1956002 1956011 1960827 1960854) (-1162 "SRAGG.spad" 1951165 1951176 1955992 1955997) (-1161 "SQMATRIX.spad" 1948744 1948762 1949660 1949747) (-1160 "SPLTREE.spad" 1943296 1943309 1948180 1948207) (-1159 "SPLNODE.spad" 1939884 1939897 1943286 1943291) (-1158 "SPFCAT.spad" 1938693 1938702 1939874 1939879) (-1157 "SPECOUT.spad" 1937245 1937254 1938683 1938688) (-1156 "SPADXPT.spad" 1928840 1928849 1937235 1937240) (-1155 "spad-parser.spad" 1928305 1928314 1928830 1928835) (-1154 "SPADAST.spad" 1928006 1928015 1928295 1928300) (-1153 "SPACEC.spad" 1912205 1912216 1927996 1928001) (-1152 "SPACE3.spad" 1911981 1911992 1912195 1912200) (-1151 "SORTPAK.spad" 1911530 1911543 1911937 1911942) (-1150 "SOLVETRA.spad" 1909293 1909304 1911520 1911525) (-1149 "SOLVESER.spad" 1907821 1907832 1909283 1909288) (-1148 "SOLVERAD.spad" 1903847 1903858 1907811 1907816) (-1147 "SOLVEFOR.spad" 1902309 1902327 1903837 1903842) (-1146 "SNTSCAT.spad" 1901909 1901926 1902277 1902304) (-1145 "SMTS.spad" 1900181 1900207 1901474 1901571) (-1144 "SMP.spad" 1897656 1897676 1898046 1898173) (-1143 "SMITH.spad" 1896501 1896526 1897646 1897651) (-1142 "SMATCAT.spad" 1894611 1894641 1896445 1896496) (-1141 "SMATCAT.spad" 1892653 1892685 1894489 1894494) (-1140 "SKAGG.spad" 1891616 1891627 1892621 1892648) (-1139 "SINT.spad" 1890556 1890565 1891482 1891611) (-1138 "SIMPAN.spad" 1890284 1890293 1890546 1890551) (-1137 "SIG.spad" 1889614 1889623 1890274 1890279) (-1136 "SIGNRF.spad" 1888732 1888743 1889604 1889609) (-1135 "SIGNEF.spad" 1888011 1888028 1888722 1888727) (-1134 "SIGAST.spad" 1887396 1887405 1888001 1888006) (-1133 "SHP.spad" 1885324 1885339 1887352 1887357) (-1132 "SHDP.spad" 1873606 1873633 1874115 1874214) (-1131 "SGROUP.spad" 1873214 1873223 1873596 1873601) (-1130 "SGROUP.spad" 1872820 1872831 1873204 1873209) (-1129 "SGCF.spad" 1865959 1865968 1872810 1872815) (-1128 "SFRTCAT.spad" 1864889 1864906 1865927 1865954) (-1127 "SFRGCD.spad" 1863952 1863972 1864879 1864884) (-1126 "SFQCMPK.spad" 1858589 1858609 1863942 1863947) (-1125 "SFORT.spad" 1858028 1858042 1858579 1858584) (-1124 "SEXOF.spad" 1857871 1857911 1858018 1858023) (-1123 "SEX.spad" 1857763 1857772 1857861 1857866) (-1122 "SEXCAT.spad" 1855544 1855584 1857753 1857758) (-1121 "SET.spad" 1853868 1853879 1854965 1855004) (-1120 "SETMN.spad" 1852318 1852335 1853858 1853863) (-1119 "SETCAT.spad" 1851640 1851649 1852308 1852313) (-1118 "SETCAT.spad" 1850960 1850971 1851630 1851635) (-1117 "SETAGG.spad" 1847509 1847520 1850940 1850955) (-1116 "SETAGG.spad" 1844066 1844079 1847499 1847504) (-1115 "SEQAST.spad" 1843769 1843778 1844056 1844061) (-1114 "SEGXCAT.spad" 1842925 1842938 1843759 1843764) (-1113 "SEG.spad" 1842738 1842749 1842844 1842849) (-1112 "SEGCAT.spad" 1841663 1841674 1842728 1842733) (-1111 "SEGBIND.spad" 1841421 1841432 1841610 1841615) (-1110 "SEGBIND2.spad" 1841119 1841132 1841411 1841416) (-1109 "SEGAST.spad" 1840833 1840842 1841109 1841114) (-1108 "SEG2.spad" 1840268 1840281 1840789 1840794) (-1107 "SDVAR.spad" 1839544 1839555 1840258 1840263) (-1106 "SDPOL.spad" 1836877 1836888 1837168 1837295) (-1105 "SCPKG.spad" 1834966 1834977 1836867 1836872) (-1104 "SCOPE.spad" 1834119 1834128 1834956 1834961) (-1103 "SCACHE.spad" 1832815 1832826 1834109 1834114) (-1102 "SASTCAT.spad" 1832724 1832733 1832805 1832810) (-1101 "SAOS.spad" 1832596 1832605 1832714 1832719) (-1100 "SAERFFC.spad" 1832309 1832329 1832586 1832591) (-1099 "SAE.spad" 1829779 1829795 1830390 1830525) (-1098 "SAEFACT.spad" 1829480 1829500 1829769 1829774) (-1097 "RURPK.spad" 1827139 1827155 1829470 1829475) (-1096 "RULESET.spad" 1826592 1826616 1827129 1827134) (-1095 "RULE.spad" 1824832 1824856 1826582 1826587) (-1094 "RULECOLD.spad" 1824684 1824697 1824822 1824827) (-1093 "RTVALUE.spad" 1824419 1824428 1824674 1824679) (-1092 "RSTRCAST.spad" 1824136 1824145 1824409 1824414) (-1091 "RSETGCD.spad" 1820514 1820534 1824126 1824131) (-1090 "RSETCAT.spad" 1810450 1810467 1820482 1820509) (-1089 "RSETCAT.spad" 1800406 1800425 1810440 1810445) (-1088 "RSDCMPK.spad" 1798858 1798878 1800396 1800401) (-1087 "RRCC.spad" 1797242 1797272 1798848 1798853) (-1086 "RRCC.spad" 1795624 1795656 1797232 1797237) (-1085 "RPTAST.spad" 1795326 1795335 1795614 1795619) (-1084 "RPOLCAT.spad" 1774686 1774701 1795194 1795321) (-1083 "RPOLCAT.spad" 1753759 1753776 1774269 1774274) (-1082 "ROUTINE.spad" 1749642 1749651 1752406 1752433) (-1081 "ROMAN.spad" 1748970 1748979 1749508 1749637) (-1080 "ROIRC.spad" 1748050 1748082 1748960 1748965) (-1079 "RNS.spad" 1746953 1746962 1747952 1748045) (-1078 "RNS.spad" 1745942 1745953 1746943 1746948) (-1077 "RNG.spad" 1745677 1745686 1745932 1745937) (-1076 "RNGBIND.spad" 1744837 1744851 1745632 1745637) (-1075 "RMODULE.spad" 1744602 1744613 1744827 1744832) (-1074 "RMCAT2.spad" 1744022 1744079 1744592 1744597) (-1073 "RMATRIX.spad" 1742846 1742865 1743189 1743228) (-1072 "RMATCAT.spad" 1738425 1738456 1742802 1742841) (-1071 "RMATCAT.spad" 1733894 1733927 1738273 1738278) (-1070 "RLINSET.spad" 1733598 1733609 1733884 1733889) (-1069 "RINTERP.spad" 1733486 1733506 1733588 1733593) (-1068 "RING.spad" 1732956 1732965 1733466 1733481) (-1067 "RING.spad" 1732434 1732445 1732946 1732951) (-1066 "RIDIST.spad" 1731826 1731835 1732424 1732429) (-1065 "RGCHAIN.spad" 1730409 1730425 1731311 1731338) (-1064 "RGBCSPC.spad" 1730190 1730202 1730399 1730404) (-1063 "RGBCMDL.spad" 1729720 1729732 1730180 1730185) (-1062 "RF.spad" 1727362 1727373 1729710 1729715) (-1061 "RFFACTOR.spad" 1726824 1726835 1727352 1727357) (-1060 "RFFACT.spad" 1726559 1726571 1726814 1726819) (-1059 "RFDIST.spad" 1725555 1725564 1726549 1726554) (-1058 "RETSOL.spad" 1724974 1724987 1725545 1725550) (-1057 "RETRACT.spad" 1724402 1724413 1724964 1724969) (-1056 "RETRACT.spad" 1723828 1723841 1724392 1724397) (-1055 "RETAST.spad" 1723640 1723649 1723818 1723823) (-1054 "RESULT.spad" 1721700 1721709 1722287 1722314) (-1053 "RESRING.spad" 1721047 1721094 1721638 1721695) (-1052 "RESLATC.spad" 1720371 1720382 1721037 1721042) (-1051 "REPSQ.spad" 1720102 1720113 1720361 1720366) (-1050 "REP.spad" 1717656 1717665 1720092 1720097) (-1049 "REPDB.spad" 1717363 1717374 1717646 1717651) (-1048 "REP2.spad" 1707021 1707032 1717205 1717210) (-1047 "REP1.spad" 1701217 1701228 1706971 1706976) (-1046 "REGSET.spad" 1699014 1699031 1700863 1700890) (-1045 "REF.spad" 1698349 1698360 1698969 1698974) (-1044 "REDORDER.spad" 1697555 1697572 1698339 1698344) (-1043 "RECLOS.spad" 1696338 1696358 1697042 1697135) 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1098404 1099172 1099177) (-704 "MCALCFN.spad" 1095514 1095540 1098382 1098387) (-703 "MAYBE.spad" 1094798 1094809 1095504 1095509) (-702 "MATSTOR.spad" 1092106 1092116 1094788 1094793) (-701 "MATRIX.spad" 1090810 1090820 1091294 1091321) (-700 "MATLIN.spad" 1088154 1088178 1090694 1090699) (-699 "MATCAT.spad" 1079883 1079905 1088122 1088149) (-698 "MATCAT.spad" 1071484 1071508 1079725 1079730) (-697 "MATCAT2.spad" 1070766 1070814 1071474 1071479) (-696 "MAPPKG3.spad" 1069681 1069695 1070756 1070761) (-695 "MAPPKG2.spad" 1069019 1069031 1069671 1069676) (-694 "MAPPKG1.spad" 1067847 1067857 1069009 1069014) (-693 "MAPPAST.spad" 1067162 1067170 1067837 1067842) (-692 "MAPHACK3.spad" 1066974 1066988 1067152 1067157) (-691 "MAPHACK2.spad" 1066743 1066755 1066964 1066969) (-690 "MAPHACK1.spad" 1066387 1066397 1066733 1066738) (-689 "MAGMA.spad" 1064177 1064194 1066377 1066382) (-688 "MACROAST.spad" 1063756 1063764 1064167 1064172) (-687 "M3D.spad" 1061476 1061486 1063134 1063139) (-686 "LZSTAGG.spad" 1058714 1058724 1061466 1061471) (-685 "LZSTAGG.spad" 1055950 1055962 1058704 1058709) (-684 "LWORD.spad" 1052655 1052672 1055940 1055945) (-683 "LSTAST.spad" 1052439 1052447 1052645 1052650) (-682 "LSQM.spad" 1050632 1050646 1051026 1051077) (-681 "LSPP.spad" 1050167 1050184 1050622 1050627) (-680 "LSMP.spad" 1049017 1049045 1050157 1050162) (-679 "LSMP1.spad" 1046835 1046849 1049007 1049012) (-678 "LSAGG.spad" 1046504 1046514 1046803 1046830) (-677 "LSAGG.spad" 1046193 1046205 1046494 1046499) (-676 "LPOLY.spad" 1045147 1045166 1046049 1046118) (-675 "LPEFRAC.spad" 1044418 1044428 1045137 1045142) (-674 "LO.spad" 1043819 1043833 1044352 1044379) (-673 "LOGIC.spad" 1043421 1043429 1043809 1043814) (-672 "LOGIC.spad" 1043021 1043031 1043411 1043416) (-671 "LODOOPS.spad" 1041951 1041963 1043011 1043016) (-670 "LODO.spad" 1041335 1041351 1041631 1041670) (-669 "LODOF.spad" 1040381 1040398 1041292 1041297) (-668 "LODOCAT.spad" 1039047 1039057 1040337 1040376) (-667 "LODOCAT.spad" 1037711 1037723 1039003 1039008) (-666 "LODO2.spad" 1036984 1036996 1037391 1037430) (-665 "LODO1.spad" 1036384 1036394 1036664 1036703) (-664 "LODEEF.spad" 1035186 1035204 1036374 1036379) (-663 "LNAGG.spad" 1031333 1031343 1035176 1035181) (-662 "LNAGG.spad" 1027444 1027456 1031289 1031294) (-661 "LMOPS.spad" 1024212 1024229 1027434 1027439) (-660 "LMODULE.spad" 1023980 1023990 1024202 1024207) (-659 "LMDICT.spad" 1023267 1023277 1023531 1023558) (-658 "LLINSET.spad" 1022974 1022984 1023257 1023262) (-657 "LITERAL.spad" 1022880 1022891 1022964 1022969) (-656 "LIST.spad" 1020615 1020625 1022027 1022054) (-655 "LIST3.spad" 1019926 1019940 1020605 1020610) (-654 "LIST2.spad" 1018628 1018640 1019916 1019921) (-653 "LIST2MAP.spad" 1015531 1015543 1018618 1018623) (-652 "LINSET.spad" 1015310 1015320 1015521 1015526) (-651 "LINEXP.spad" 1014448 1014458 1015300 1015305) (-650 "LINDEP.spad" 1013257 1013269 1014360 1014365) (-649 "LIMITRF.spad" 1011185 1011195 1013247 1013252) (-648 "LIMITPS.spad" 1010088 1010101 1011175 1011180) (-647 "LIE.spad" 1008104 1008116 1009378 1009523) (-646 "LIECAT.spad" 1007580 1007590 1008030 1008099) (-645 "LIECAT.spad" 1007084 1007096 1007536 1007541) (-644 "LIB.spad" 1005297 1005305 1005743 1005758) (-643 "LGROBP.spad" 1002650 1002669 1005287 1005292) (-642 "LF.spad" 1001605 1001621 1002640 1002645) (-641 "LFCAT.spad" 1000664 1000672 1001595 1001600) (-640 "LEXTRIPK.spad" 996167 996182 1000654 1000659) (-639 "LEXP.spad" 994170 994197 996147 996162) (-638 "LETAST.spad" 993869 993877 994160 994165) (-637 "LEADCDET.spad" 992267 992284 993859 993864) (-636 "LAZM3PK.spad" 990971 990993 992257 992262) (-635 "LAUPOL.spad" 989571 989584 990471 990540) (-634 "LAPLACE.spad" 989154 989170 989561 989566) (-633 "LA.spad" 988594 988608 989076 989115) (-632 "LALG.spad" 988370 988380 988574 988589) (-631 "LALG.spad" 988154 988166 988360 988365) (-630 "KVTFROM.spad" 987889 987899 988144 988149) (-629 "KTVLOGIC.spad" 987401 987409 987879 987884) (-628 "KRCFROM.spad" 987139 987149 987391 987396) (-627 "KOVACIC.spad" 985862 985879 987129 987134) (-626 "KONVERT.spad" 985584 985594 985852 985857) (-625 "KOERCE.spad" 985321 985331 985574 985579) (-624 "KERNEL.spad" 983976 983986 985105 985110) (-623 "KERNEL2.spad" 983679 983691 983966 983971) (-622 "KDAGG.spad" 982788 982810 983659 983674) (-621 "KDAGG.spad" 981905 981929 982778 982783) (-620 "KAFILE.spad" 980868 980884 981103 981130) (-619 "JORDAN.spad" 978697 978709 980158 980303) (-618 "JOINAST.spad" 978391 978399 978687 978692) (-617 "JAVACODE.spad" 978257 978265 978381 978386) (-616 "IXAGG.spad" 976390 976414 978247 978252) (-615 "IXAGG.spad" 974378 974404 976237 976242) (-614 "IVECTOR.spad" 973148 973163 973303 973330) (-613 "ITUPLE.spad" 972309 972319 973138 973143) (-612 "ITRIGMNP.spad" 971148 971167 972299 972304) (-611 "ITFUN3.spad" 970654 970668 971138 971143) (-610 "ITFUN2.spad" 970398 970410 970644 970649) (-609 "ITFORM.spad" 969753 969761 970388 970393) (-608 "ITAYLOR.spad" 967747 967762 969617 969714) (-607 "ISUPS.spad" 960184 960199 966721 966818) (-606 "ISUMP.spad" 959685 959701 960174 960179) (-605 "ISTRING.spad" 958773 958786 958854 958881) (-604 "ISAST.spad" 958492 958500 958763 958768) (-603 "IRURPK.spad" 957209 957228 958482 958487) (-602 "IRSN.spad" 955181 955189 957199 957204) (-601 "IRRF2F.spad" 953666 953676 955137 955142) (-600 "IRREDFFX.spad" 953267 953278 953656 953661) (-599 "IROOT.spad" 951606 951616 953257 953262) (-598 "IR.spad" 949407 949421 951461 951488) (-597 "IRFORM.spad" 948731 948739 949397 949402) (-596 "IR2.spad" 947759 947775 948721 948726) (-595 "IR2F.spad" 946965 946981 947749 947754) (-594 "IPRNTPK.spad" 946725 946733 946955 946960) (-593 "IPF.spad" 946290 946302 946530 946623) (-592 "IPADIC.spad" 946051 946077 946216 946285) (-591 "IP4ADDR.spad" 945608 945616 946041 946046) (-590 "IOMODE.spad" 945130 945138 945598 945603) (-589 "IOBFILE.spad" 944491 944499 945120 945125) (-588 "IOBCON.spad" 944356 944364 944481 944486) (-587 "INVLAPLA.spad" 944005 944021 944346 944351) (-586 "INTTR.spad" 937387 937404 943995 944000) (-585 "INTTOOLS.spad" 935142 935158 936961 936966) (-584 "INTSLPE.spad" 934462 934470 935132 935137) (-583 "INTRVL.spad" 934028 934038 934376 934457) (-582 "INTRF.spad" 932452 932466 934018 934023) (-581 "INTRET.spad" 931884 931894 932442 932447) (-580 "INTRAT.spad" 930611 930628 931874 931879) (-579 "INTPM.spad" 928996 929012 930254 930259) (-578 "INTPAF.spad" 926860 926878 928928 928933) (-577 "INTPACK.spad" 917234 917242 926850 926855) (-576 "INT.spad" 916682 916690 917088 917229) (-575 "INTHERTR.spad" 915956 915973 916672 916677) (-574 "INTHERAL.spad" 915626 915650 915946 915951) (-573 "INTHEORY.spad" 912065 912073 915616 915621) (-572 "INTG0.spad" 905798 905816 911997 912002) (-571 "INTFTBL.spad" 899827 899835 905788 905793) (-570 "INTFACT.spad" 898886 898896 899817 899822) (-569 "INTEF.spad" 897271 897287 898876 898881) (-568 "INTDOM.spad" 895894 895902 897197 897266) (-567 "INTDOM.spad" 894579 894589 895884 895889) (-566 "INTCAT.spad" 892838 892848 894493 894574) (-565 "INTBIT.spad" 892345 892353 892828 892833) (-564 "INTALG.spad" 891533 891560 892335 892340) (-563 "INTAF.spad" 891033 891049 891523 891528) (-562 "INTABL.spad" 889551 889582 889714 889741) (-561 "INT8.spad" 889431 889439 889541 889546) (-560 "INT64.spad" 889310 889318 889421 889426) (-559 "INT32.spad" 889189 889197 889300 889305) (-558 "INT16.spad" 889068 889076 889179 889184) (-557 "INS.spad" 886571 886579 888970 889063) (-556 "INS.spad" 884160 884170 886561 886566) (-555 "INPSIGN.spad" 883608 883621 884150 884155) (-554 "INPRODPF.spad" 882704 882723 883598 883603) (-553 "INPRODFF.spad" 881792 881816 882694 882699) (-552 "INNMFACT.spad" 880767 880784 881782 881787) (-551 "INMODGCD.spad" 880255 880285 880757 880762) (-550 "INFSP.spad" 878552 878574 880245 880250) (-549 "INFPROD0.spad" 877632 877651 878542 878547) (-548 "INFORM.spad" 874831 874839 877622 877627) (-547 "INFORM1.spad" 874456 874466 874821 874826) (-546 "INFINITY.spad" 874008 874016 874446 874451) (-545 "INETCLTS.spad" 873985 873993 873998 874003) (-544 "INEP.spad" 872523 872545 873975 873980) (-543 "INDE.spad" 872252 872269 872513 872518) (-542 "INCRMAPS.spad" 871673 871683 872242 872247) (-541 "INBFILE.spad" 870745 870753 871663 871668) (-540 "INBFF.spad" 866539 866550 870735 870740) (-539 "INBCON.spad" 864829 864837 866529 866534) (-538 "INBCON.spad" 863117 863127 864819 864824) (-537 "INAST.spad" 862778 862786 863107 863112) (-536 "IMPTAST.spad" 862486 862494 862768 862773) (-535 "IMATRIX.spad" 861431 861457 861943 861970) (-534 "IMATQF.spad" 860525 860569 861387 861392) (-533 "IMATLIN.spad" 859130 859154 860481 860486) (-532 "ILIST.spad" 857788 857803 858313 858340) (-531 "IIARRAY2.spad" 857176 857214 857395 857422) (-530 "IFF.spad" 856586 856602 856857 856950) (-529 "IFAST.spad" 856200 856208 856576 856581) (-528 "IFARRAY.spad" 853693 853708 855383 855410) (-527 "IFAMON.spad" 853555 853572 853649 853654) (-526 "IEVALAB.spad" 852960 852972 853545 853550) (-525 "IEVALAB.spad" 852363 852377 852950 852955) (-524 "IDPO.spad" 852161 852173 852353 852358) (-523 "IDPOAMS.spad" 851917 851929 852151 852156) (-522 "IDPOAM.spad" 851637 851649 851907 851912) (-521 "IDPC.spad" 850575 850587 851627 851632) (-520 "IDPAM.spad" 850320 850332 850565 850570) (-519 "IDPAG.spad" 850067 850079 850310 850315) (-518 "IDENT.spad" 849717 849725 850057 850062) (-517 "IDECOMP.spad" 846956 846974 849707 849712) (-516 "IDEAL.spad" 841905 841944 846891 846896) (-515 "ICDEN.spad" 841094 841110 841895 841900) (-514 "ICARD.spad" 840285 840293 841084 841089) (-513 "IBPTOOLS.spad" 838892 838909 840275 840280) (-512 "IBITS.spad" 838095 838108 838528 838555) (-511 "IBATOOL.spad" 835072 835091 838085 838090) (-510 "IBACHIN.spad" 833579 833594 835062 835067) (-509 "IARRAY2.spad" 832567 832593 833186 833213) (-508 "IARRAY1.spad" 831612 831627 831750 831777) (-507 "IAN.spad" 829835 829843 831428 831521) (-506 "IALGFACT.spad" 829438 829471 829825 829830) (-505 "HYPCAT.spad" 828862 828870 829428 829433) (-504 "HYPCAT.spad" 828284 828294 828852 828857) (-503 "HOSTNAME.spad" 828092 828100 828274 828279) (-502 "HOMOTOP.spad" 827835 827845 828082 828087) (-501 "HOAGG.spad" 825117 825127 827825 827830) (-500 "HOAGG.spad" 822174 822186 824884 824889) (-499 "HEXADEC.spad" 820179 820187 820544 820637) (-498 "HEUGCD.spad" 819214 819225 820169 820174) (-497 "HELLFDIV.spad" 818804 818828 819204 819209) (-496 "HEAP.spad" 818196 818206 818411 818438) (-495 "HEADAST.spad" 817729 817737 818186 818191) (-494 "HDP.spad" 806143 806159 806520 806619) (-493 "HDMP.spad" 803357 803372 803973 804100) (-492 "HB.spad" 801608 801616 803347 803352) (-491 "HASHTBL.spad" 800078 800109 800289 800316) (-490 "HASAST.spad" 799794 799802 800068 800073) (-489 "HACKPI.spad" 799285 799293 799696 799789) (-488 "GTSET.spad" 798224 798240 798931 798958) (-487 "GSTBL.spad" 796743 796778 796917 796932) (-486 "GSERIES.spad" 794056 794083 794875 795024) (-485 "GROUP.spad" 793329 793337 794036 794051) (-484 "GROUP.spad" 792610 792620 793319 793324) (-483 "GROEBSOL.spad" 791104 791125 792600 792605) (-482 "GRMOD.spad" 789675 789687 791094 791099) (-481 "GRMOD.spad" 788244 788258 789665 789670) (-480 "GRIMAGE.spad" 781133 781141 788234 788239) (-479 "GRDEF.spad" 779512 779520 781123 781128) (-478 "GRAY.spad" 777975 777983 779502 779507) (-477 "GRALG.spad" 777052 777064 777965 777970) (-476 "GRALG.spad" 776127 776141 777042 777047) (-475 "GPOLSET.spad" 775581 775604 775809 775836) (-474 "GOSPER.spad" 774850 774868 775571 775576) (-473 "GMODPOL.spad" 773998 774025 774818 774845) (-472 "GHENSEL.spad" 773081 773095 773988 773993) (-471 "GENUPS.spad" 769374 769387 773071 773076) (-470 "GENUFACT.spad" 768951 768961 769364 769369) (-469 "GENPGCD.spad" 768537 768554 768941 768946) (-468 "GENMFACT.spad" 767989 768008 768527 768532) (-467 "GENEEZ.spad" 765940 765953 767979 767984) (-466 "GDMP.spad" 762996 763013 763770 763897) (-465 "GCNAALG.spad" 756919 756946 762790 762857) (-464 "GCDDOM.spad" 756095 756103 756845 756914) (-463 "GCDDOM.spad" 755333 755343 756085 756090) (-462 "GB.spad" 752859 752897 755289 755294) (-461 "GBINTERN.spad" 748879 748917 752849 752854) (-460 "GBF.spad" 744646 744684 748869 748874) (-459 "GBEUCLID.spad" 742528 742566 744636 744641) (-458 "GAUSSFAC.spad" 741841 741849 742518 742523) (-457 "GALUTIL.spad" 740167 740177 741797 741802) (-456 "GALPOLYU.spad" 738621 738634 740157 740162) (-455 "GALFACTU.spad" 736794 736813 738611 738616) (-454 "GALFACT.spad" 726983 726994 736784 736789) (-453 "FVFUN.spad" 724006 724014 726973 726978) (-452 "FVC.spad" 723058 723066 723996 724001) (-451 "FUNDESC.spad" 722736 722744 723048 723053) (-450 "FUNCTION.spad" 722585 722597 722726 722731) (-449 "FT.spad" 720882 720890 722575 722580) (-448 "FTEM.spad" 720047 720055 720872 720877) (-447 "FSUPFACT.spad" 718947 718966 719983 719988) (-446 "FST.spad" 717033 717041 718937 718942) (-445 "FSRED.spad" 716513 716529 717023 717028) (-444 "FSPRMELT.spad" 715395 715411 716470 716475) (-443 "FSPECF.spad" 713486 713502 715385 715390) (-442 "FS.spad" 707754 707764 713261 713481) (-441 "FS.spad" 701800 701812 707309 707314) (-440 "FSINT.spad" 701460 701476 701790 701795) (-439 "FSERIES.spad" 700651 700663 701280 701379) (-438 "FSCINT.spad" 699968 699984 700641 700646) (-437 "FSAGG.spad" 699085 699095 699924 699963) (-436 "FSAGG.spad" 698164 698176 699005 699010) (-435 "FSAGG2.spad" 696907 696923 698154 698159) (-434 "FS2UPS.spad" 691398 691432 696897 696902) (-433 "FS2.spad" 691045 691061 691388 691393) (-432 "FS2EXPXP.spad" 690170 690193 691035 691040) (-431 "FRUTIL.spad" 689124 689134 690160 690165) (-430 "FR.spad" 682747 682757 688055 688124) (-429 "FRNAALG.spad" 678016 678026 682689 682742) (-428 "FRNAALG.spad" 673297 673309 677972 677977) (-427 "FRNAAF2.spad" 672753 672771 673287 673292) (-426 "FRMOD.spad" 672163 672193 672684 672689) (-425 "FRIDEAL.spad" 671388 671409 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"EXIT.spad" 458347 458355 458666 458671) (-321 "EXITAST.spad" 458083 458091 458337 458342) (-320 "EVALCYC.spad" 457543 457557 458073 458078) (-319 "EVALAB.spad" 457115 457125 457533 457538) (-318 "EVALAB.spad" 456685 456697 457105 457110) (-317 "EUCDOM.spad" 454259 454267 456611 456680) (-316 "EUCDOM.spad" 451895 451905 454249 454254) (-315 "ESTOOLS.spad" 443741 443749 451885 451890) (-314 "ESTOOLS2.spad" 443344 443358 443731 443736) (-313 "ESTOOLS1.spad" 443029 443040 443334 443339) (-312 "ES.spad" 435844 435852 443019 443024) (-311 "ES.spad" 428565 428575 435742 435747) (-310 "ESCONT.spad" 425358 425366 428555 428560) (-309 "ESCONT1.spad" 425107 425119 425348 425353) (-308 "ES2.spad" 424612 424628 425097 425102) (-307 "ES1.spad" 424182 424198 424602 424607) (-306 "ERROR.spad" 421509 421517 424172 424177) (-305 "EQTBL.spad" 419981 420003 420190 420217) (-304 "EQ.spad" 414786 414796 417573 417685) (-303 "EQ2.spad" 414504 414516 414776 414781) (-302 "EP.spad" 410830 410840 414494 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(-160 "COMBINAT.spad" 181011 181021 182234 182239) (-159 "COMBF.spad" 178393 178409 181001 181006) (-158 "COLOR.spad" 177230 177238 178383 178388) (-157 "COLONAST.spad" 176896 176904 177220 177225) (-156 "CMPLXRT.spad" 176607 176624 176886 176891) (-155 "CLLCTAST.spad" 176269 176277 176597 176602) (-154 "CLIP.spad" 172377 172385 176259 176264) (-153 "CLIF.spad" 171032 171048 172333 172372) (-152 "CLAGG.spad" 167537 167547 171022 171027) (-151 "CLAGG.spad" 163913 163925 167400 167405) (-150 "CINTSLPE.spad" 163244 163257 163903 163908) (-149 "CHVAR.spad" 161382 161404 163234 163239) (-148 "CHARZ.spad" 161297 161305 161362 161377) (-147 "CHARPOL.spad" 160807 160817 161287 161292) (-146 "CHARNZ.spad" 160560 160568 160787 160802) (-145 "CHAR.spad" 158434 158442 160550 160555) (-144 "CFCAT.spad" 157762 157770 158424 158429) (-143 "CDEN.spad" 156958 156972 157752 157757) (-142 "CCLASS.spad" 155107 155115 156369 156408) (-141 "CATEGORY.spad" 154149 154157 155097 155102) (-140 "CATCTOR.spad" 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T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) +((($) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) (|has| |#1| (-926)) ((((-874)) . T)) ((((-874)) . T)) @@ -24,19 +24,19 @@ ((((-227)) . T) (((-874)) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (((|#1|) . T)) -(-3739 (|has| |#1| (-21)) (|has| |#1| (-860))) -((($ $) . T) ((#0=(-419 (-576)) #0#) -3739 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) -(-3739 (|has| |#1| (-832)) (|has| |#1| (-862))) +(-2825 (|has| |#1| (-21)) (|has| |#1| (-860))) +((($ $) . T) ((#0=(-419 (-576)) #0#) -2825 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1| |#1|) . T)) +(-2825 (|has| |#1| (-832)) (|has| |#1| (-862))) ((((-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) (((-576)) |has| |#1| (-1057 (-576))) ((|#1|) . T)) ((((-874)) . T)) ((((-874)) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-860)) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) ((((-326 |#1|)) . T) (((-576)) . T) (($) . T)) (((|#1| |#2| |#3|) . T)) ((((-576)) . T) (((-882 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) -((($) . T) (((-419 (-576))) -3739 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) +((($) . T) (((-419 (-576))) -2825 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T)) ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) ((((-874)) . T)) ((((-1201)) . T)) @@ -49,15 +49,15 @@ (((|#1|) . T) ((|#2|) . T)) ((((-1201)) . T)) (((|#1|) . T) (((-576)) |has| |#1| (-1057 (-576))) (((-419 (-576))) |has| |#1| (-1057 (-419 (-576))))) -(-3739 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) -(-3739 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) -(((|#2| (-494 (-2845 |#1|) (-783))) . 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T)) -((($) -3739 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) +((($) -2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#1|) |has| |#1| (-174))) ((((-576)) . T)) ((((-576)) . T)) ((((-419 (-576))) . T) (($) . T)) @@ -223,7 +223,7 @@ (((|#1|) . T)) (|has| |#2| (-374)) ((((-1254 (-576)) $) . T) (((-576) |#1|) . T)) -((($) -3739 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) +((($) -2825 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237)))) ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) (((|#1| |#2|) . T)) ((((-874)) . T)) @@ -236,13 +236,13 @@ ((((-874)) . T)) ((((-874)) . T)) (((|#1| |#1|) . T)) -(((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576)))) ((|#1| |#1|) . 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T)) @@ -343,15 +343,15 @@ (|has| |#1| (-1119)) ((((-927 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) (((|#1|) . T)) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) ((((-548)) |has| |#1| (-626 (-548)))) ((((-874)) . T) (((-1201)) . T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) ((((-1201)) . 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T)) (((|#1| (-990)) . T)) ((((-576)) . T) ((|#2|) . T)) @@ -362,7 +362,7 @@ (((|#1|) . T)) (((|#2| |#2|) . T)) (|has| |#1| (-1171)) -((((-2 (|:| -4147 (-1178)) (|:| -3153 |#1|))) . T)) +((((-2 (|:| -3658 (-1178)) (|:| -1932 |#1|))) . T)) (|has| (-1273 |#1| |#2| |#3| |#4|) (-146)) (|has| (-1273 |#1| |#2| |#3| |#4|) (-148)) (|has| |#1| (-146)) @@ -374,27 +374,27 @@ (((|#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) -((((-1144 |#1| (-1196))) . T) (((-576)) . T) (((-830 (-1196))) . T) (($) -3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) . T) (((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1057 (-419 (-576))))) (((-1196)) . T)) +((((-1144 |#1| (-1196))) . T) (((-576)) . T) (((-830 (-1196))) . T) (($) -2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) . T) (((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-1057 (-419 (-576))))) (((-1196)) . 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T)) -((($) -3739 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -2825 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((((-874)) . T)) ((((-874)) . T)) (|has| (-1272 |#2| |#3| |#4|) (-148)) @@ -405,18 +405,18 @@ ((((-874)) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-3739 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) +(-2825 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) (((|#1|) . T)) ((($) . T)) ((((-576) |#1|) . T)) (((|#2|) |has| |#2| (-174))) (((|#1|) . 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T)) -((((-1196)) -3739 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196)))) (((-1101)) . T)) +((((-1196)) -2825 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196)))) (((-1101)) . T)) (((|#1|) . T)) (((|#3|) . T) (((-624 $)) . T)) (((|#1| (-419 (-576))) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T) (($) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) ((($ (-1283 |#2|)) . T) (($ (-1196)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196))))) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) -((((-576)) -3739 (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119))) (|has| |#2| (-1068))) ((|#2|) |has| |#2| (-1119)) (((-419 (-576))) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119)))) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) +((((-576)) -2825 (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119))) (|has| |#2| (-1068))) ((|#2|) |has| |#2| (-1119)) (((-419 (-576))) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119)))) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) ((($ $) . T) ((|#2| $) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) @@ -1181,15 +1181,15 @@ ((((-874)) . T)) ((((-874)) . T)) (((|#1| |#1|) . 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T)) -((((-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) +((((-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) (((|#3|) . T)) ((($ $) . T) ((#0=(-876 |#1|) $) . T) ((#0# |#2|) . T)) (|has| |#1| (-840)) @@ -1197,10 +1197,10 @@ ((($) . 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| (-1113 |#1|) (-1119)) -(((|#2| |#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068)))) -(((|#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)))) -((((-576) (-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T) ((|#1| |#2|) . T)) -(((|#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068)))) +(((|#2| |#2|) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068)))) +(((|#2|) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)))) +((((-576) (-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T) ((|#1| |#2|) . 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T)) (((|#1|) |has| |#1| (-319 |#1|))) @@ -1310,12 +1310,12 @@ (|has| |#1| (-379)) ((((-1196) $) |has| |#1| (-526 (-1196) $)) (($ $) |has| |#1| (-319 $)) ((|#1| |#1|) |has| |#1| (-319 |#1|)) (((-1196) |#1|) |has| |#1| (-526 (-1196) |#1|))) ((((-1196)) |has| |#1| (-915 (-1196)))) -(-3739 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (|has| |#1| (-360))) +(-2825 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (|has| |#1| (-360))) (((|#1| |#4|) . T)) (((|#1| |#3|) . T)) ((($) . T)) ((((-400) |#1|) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-1119)) (((|#2|) . T) (((-874)) . T)) ((((-874)) . T)) @@ -1323,8 +1323,8 @@ ((((-927 |#1|)) . T)) ((((-874)) . T) (((-1201)) . T)) ((((-1201)) . T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) -((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) +((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926)))) (((|#1| |#2|) . T)) ((($) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) @@ -1333,7 +1333,7 @@ (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) (((|#1| |#1|) . T)) (((#0=(-882 |#1|)) |has| #0# (-319 #0#))) -((((-576)) . T) (($) -3739 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -3739 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1057 (-419 (-576))))) ((|#1|) . T)) +((((-576)) . T) (($) -2825 (|has| |#1| (-374)) (|has| |#1| (-360))) (((-419 (-576))) -2825 (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-1057 (-419 (-576))))) ((|#1|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-805)) (|has| |#2| (-805)) @@ -1342,7 +1342,7 @@ (-12 (|has| |#1| (-805)) (|has| |#2| (-805))) (|has| |#2| (-1068)) ((($) . T) (((-576)) . T) ((|#2|) . T)) -(((|#2|) . T) (((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (((|#2|) . T) (($) . T)) (|has| |#1| (-1222)) (((#0=(-576) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) @@ -1356,14 +1356,14 @@ (((|#1| |#1|) . T) (($ $) . T) ((#0=(-419 (-576)) #0#) . T)) (|has| |#1| (-374)) ((((-576)) . T) (((-419 (-576))) . T) (($) . 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T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) +((($) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576))))) ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T)) ((($) . T) (((-576)) . T)) ((((-576) (-145)) . T)) -((((-576) (-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T) ((|#1| |#2|) . T)) +((((-576) (-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T) ((|#1| |#2|) . T)) ((((-419 (-576))) . T) (($) . T)) (((|#1|) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-874)) . T)) ((((-927 |#1|)) . T)) (|has| |#1| (-374)) @@ -1404,11 +1404,11 @@ (|has| |#1| (-374)) (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-860)) -((($) -3739 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (((-419 (-576))) -3739 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . 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T)) -(((|#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068)))) +(((|#2|) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068)))) (|has| $ (-148)) ((((-419 |#2|)) . T)) ((((-419 (-576))) |has| #0=(-419 |#2|) (-1057 (-419 (-576)))) (((-576)) |has| #0# (-1057 (-576))) ((#0#) . T)) @@ -1554,11 +1554,11 @@ (|has| |#2| (-148)) (|has| |#1| (-148)) (|has| |#1| (-146)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) (((|#1|) . T)) (|has| |#2| (-238)) @@ -1594,9 +1594,9 @@ ((((-874)) . T)) ((((-874)) . T)) ((((-1018 |#1|)) . T) ((|#1|) . T)) -((((-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196)))) (((-830 (-1196))) . T)) +((((-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196)))) (((-830 (-1196))) . T)) ((((-874)) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-419 (-576))) . T) (((-419 |#1|)) . T) ((|#1|) . T) (($) . T)) (((|#1| (-1192 |#1|)) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) @@ -1605,8 +1605,8 @@ (((|#1|) . T) (((-576)) . T) (($) . T)) (((|#2|) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) -((((-2 (|:| -4147 (-1178)) (|:| -3153 |#1|))) . T)) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) +((((-2 (|:| -3658 (-1178)) (|:| -1932 |#1|))) . T)) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) ((((-576) |#2|) . T)) (((|#1|) . T) (((-419 (-576))) . T) (((-576)) . T) (($) . T)) ((($) . T) (((-576)) . T) (((-419 (-576))) . T)) @@ -1617,9 +1617,9 @@ ((((-874)) . T)) (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1119)))) (((|#3|) -12 (|has| |#3| (-319 |#3|)) (|has| |#3| (-1119)))) -(-3739 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (-12 (|has| |#1| (-374)) (|has| |#2| (-237)))) +(-2825 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (-12 (|has| |#1| (-374)) (|has| |#2| (-237)))) (|has| |#1| (-38 (-419 (-576)))) -(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((#0=(-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) #0#) |has| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (-319 (-2 (|:| -4147 |#1|) (|:| -3153 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((#0=(-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) #0#) |has| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (-319 (-2 (|:| -3658 |#1|) (|:| -1932 |#2|))))) (((|#2| |#2|) . T)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#2| (-374)) @@ -1629,21 +1629,21 @@ ((((-1279 |#1| |#2| |#3|)) |has| |#1| (-374))) (|has| |#1| (-1119)) (((|#1|) |has| |#1| (-174))) -((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926)))) -((($) -3739 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) |has| |#1| (-174)) (($) -2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926)))) +((($) -2825 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) ((((-1178) (-52)) . T)) (((|#1|) . 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T)) -((((-576)) -3739 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068))) ((|#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1068))) (($) |has| |#2| (-1068))) +((((-576)) -2825 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068))) ((|#2|) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1068))) (($) |has| |#2| (-1068))) ((((-576) |#3|) . T)) ((((-576) (-145)) . T)) ((((-145)) . T)) @@ -1658,7 +1658,7 @@ ((((-576)) . T) (($) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (((|#1|) . T)) -((($ (-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) +((($ (-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) ((((-145)) . T)) ((((-874)) . T)) @@ -1669,25 +1669,25 @@ (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (((|#1| |#2|) . T)) -(-3739 (|has| |#2| (-238)) (|has| |#2| (-237))) +(-2825 (|has| |#2| (-238)) (|has| |#2| (-237))) ((((-1254 (-576)) $) . T) (((-576) (-145)) . T)) -(((#0=(-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) #0#) |has| (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)) (-319 (-2 (|:| -4147 |#1|) (|:| -3153 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) -((($) -3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +(((#0=(-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) #0#) |has| (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)) (-319 (-2 (|:| -3658 |#1|) (|:| -1932 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) +((($) -2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (|has| |#1| (-862)) (((|#2| (-783) (-1101)) . T)) (((|#1| |#2|) . 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T)) -(-3739 (|has| |#1| (-148)) (-12 (|has| |#1| (-374)) (|has| |#2| (-148)))) -(-3739 (|has| |#1| (-146)) (-12 (|has| |#1| (-374)) (|has| |#2| (-146)))) +(-2825 (|has| |#1| (-148)) (-12 (|has| |#1| (-374)) (|has| |#2| (-148)))) +(-2825 (|has| |#1| (-146)) (-12 (|has| |#1| (-374)) (|has| |#2| (-146)))) (((|#4|) . T)) (|has| |#1| (-146)) ((((-1178) |#1|) . T)) @@ -1702,24 +1702,24 @@ (((|#3|) . T)) ((((-1279 |#1| |#2| |#3|)) |has| |#1| (-374))) ((($) . T) (((-576)) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T)) -((((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1194 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-576)) . T) (($) . T)) +((((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1194 |#1| |#2| |#3|)) |has| |#1| (-374)) (((-576)) . T) (($) . T) ((|#1|) . T)) +(((|#1|) . 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T)) -(((|#4|) -3739 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)))) -(((|#3|) -3739 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) +(((|#4|) -2825 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)))) +(((|#3|) -2825 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)))) (|has| |#2| (-374)) (((|#1|) |has| |#1| (-174))) -(((|#4|) -3739 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1068)))) -(((|#3|) -3739 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1068)))) +(((|#4|) -2825 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-738)) (|has| |#4| (-1068)))) +(((|#3|) -2825 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-738)) (|has| |#3| (-1068)))) (((|#2|) |has| |#2| (-1068))) (((|#2|) |has| |#2| (-1068))) ((((-1178) |#1|) . T)) @@ -1731,8 +1731,8 @@ ((((-400) (-1178)) . T)) ((($ (-1196)) . 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T)) (|has| |#2| (-148)) (|has| |#1| (-485)) -(-3739 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) +(-2825 (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) (|has| |#1| (-374)) ((((-874)) . T)) (|has| |#1| (-38 (-419 (-576)))) @@ -1752,8 +1752,8 @@ (|has| |#1| (-860)) ((((-874)) . T)) (((|#2|) . T)) -((((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3739 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1279 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) -(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -3739 (|has| |#1| (-374)) (|has| |#1| (-568)))) +((((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (((-1279 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) |has| |#1| (-174))) +(((|#1|) |has| |#1| (-174)) (((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2825 (|has| |#1| (-374)) (|has| |#1| (-568)))) ((($) |has| |#1| (-568)) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (((|#2|) . T) (((-576)) . T) (((-831 |#1|)) . T)) (((|#1| |#2|) . T)) @@ -1763,7 +1763,7 @@ ((((-874)) . T)) ((((-874)) . T)) (|has| |#1| (-1119)) -(((|#2| (-494 (-2845 |#1|) (-783)) (-876 |#1|)) . T)) +(((|#2| (-494 (-2866 |#1|) (-783)) (-876 |#1|)) . T)) ((((-419 (-576))) . #0=(|has| |#2| (-374))) (($) . #0#)) (((|#1| (-543 (-1196)) (-1196)) . T)) (((|#1|) . T)) @@ -1783,19 +1783,19 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(((|#1|) . T) (((-2 (|:| -4147 (-1178)) (|:| -3153 |#1|))) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -3658 (-1178)) (|:| -1932 |#1|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (((|#2|) . T)) -((((-2 (|:| -4147 (-1196)) (|:| -3153 (-52)))) . T)) +((((-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))) . T)) ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-1196) (-52)) . T)) ((((-419 (-576)) |#1|) . T) (($ $) . T)) (((|#1| (-576)) . T)) ((((-927 |#1|)) . 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T) (((-576)) |has| |#1| (-1057 (-576))) (((-419 (-576))) |has| |#1| (-1057 (-419 (-576))))) (|has| |#1| (-862)) (|has| |#1| (-862)) @@ -1815,15 +1815,15 @@ (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1119)))) (((|#1|) |has| |#1| (-174))) (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1119)))) -(((|#3|) -3739 (|has| |#3| (-174)) (|has| |#3| (-374)))) -((($) -3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) -(-3739 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-926))) -((($) -3739 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) . 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T)) @@ -1832,7 +1832,7 @@ (|has| |#1| (-832)) (|has| |#1| (-832)) (((|#1|) . T)) -(-3739 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-860)) (|has| |#1| (-860)) (|has| |#1| (-860)) @@ -1841,14 +1841,14 @@ ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-1196)) |has| |#1| (-915 (-1196))) (((-1101)) . T)) (((|#1|) . 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T)) (|has| |#1| (-146)) (|has| |#1| (-148)) @@ -1898,31 +1898,31 @@ ((((-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) (($) -3739 (|has| |#1| (-174)) (|has| |#1| (-568)))) +((((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (($) -2825 (|has| |#1| (-174)) (|has| |#1| (-568)))) ((($) |has| |#1| (-568)) ((|#1|) . T)) ((($) |has| |#1| (-860))) ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) (|has| |#1| (-926)) ((((-1196)) . T)) ((((-874)) . T)) -((($) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) (((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (((-1279 |#1| |#2| |#3|)) |has| |#1| (-374)) ((|#1|) . 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T)) +((((-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))) . T)) ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) ((((-684 |#1|)) . T)) (((|#1| |#2| |#3| |#4|) . T)) @@ -1956,7 +1956,7 @@ ((((-874)) . T)) (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) ((((-874)) . T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) ((((-1201)) . T)) ((((-419 (-576))) . T) (($) . T) (((-419 |#1|)) . T) ((|#1|) . T) (((-576)) . T)) (((|#3|) . T) (((-576)) . T) (((-624 $)) . T)) @@ -1964,12 +1964,12 @@ ((((-874)) . T)) ((((-874)) . T)) (((|#2|) . 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T)) (((|#3|) |has| |#3| (-1068))) @@ -2339,15 +2339,15 @@ ((($) . T)) ((((-1196)) |has| |#2| (-915 (-1196)))) ((((-874)) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-419 (-576))) . T) (($) . T)) (|has| |#1| (-485)) (|has| |#1| (-379)) (|has| |#1| (-379)) (|has| |#1| (-379)) (|has| |#1| (-374)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1068)) (|has| |#1| (-1131))) -((($) -3739 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360)))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-485)) (|has| |#1| (-568)) (|has| |#1| (-1068)) (|has| |#1| (-1131))) +((($) -2825 (|has| |#1| (-238)) (|has| |#1| (-237)) (|has| |#1| (-360)))) ((((-117 |#1|)) . T)) ((((-117 |#1|)) . T)) (|has| |#1| (-360)) @@ -2358,7 +2358,7 @@ (|has| |#1| (-38 (-419 (-576)))) (((|#2|) . T) (((-874)) . T)) (((|#2|) . T) (((-874)) . 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T)) ((((-576)) -12 (|has| |#1| (-21)) (|has| |#2| (-21)))) @@ -2436,14 +2436,14 @@ (|has| |#1| (-146)) (|has| |#1| (-148)) ((((-576)) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (((#0=(-1272 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576)))) (($) . T)) ((((-576)) . T)) ((($) . T)) (|has| |#1| (-374)) -(-3739 (-12 (|has| (-1279 |#1| |#2| |#3|) (-148)) (|has| |#1| (-374))) (|has| |#1| (-148))) -(-3739 (-12 (|has| (-1279 |#1| |#2| |#3|) (-146)) (|has| |#1| (-374))) (|has| |#1| (-146))) +(-2825 (-12 (|has| (-1279 |#1| |#2| |#3|) (-148)) (|has| |#1| (-374))) (|has| |#1| (-148))) +(-2825 (-12 (|has| (-1279 |#1| |#2| |#3|) (-146)) (|has| |#1| (-374))) (|has| |#1| (-146))) (|has| |#1| (-374)) (|has| |#1| (-146)) (|has| |#1| (-148)) @@ -2464,26 +2464,26 @@ (|has| |#1| (-1119)) ((((-1161 |#2| |#1|)) . T) ((|#1|) . 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T)) @@ -2618,7 +2618,7 @@ ((((-576)) . T) ((|#1|) . T)) (((|#2|) . T) (($) . T) (((-576)) . T)) (((|#2|) . T)) -((((-1196)) -3739 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) +((((-1196)) -2825 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) (((|#1| |#1|) . T)) (((|#3|) |has| |#3| (-374))) ((((-419 |#2|)) . T)) @@ -2627,10 +2627,10 @@ ((((-874)) . T)) ((((-874)) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-576)) . T) (($) . T) (((-419 (-576))) . T)) ((((-1196) |#1|) |has| |#1| (-526 (-1196) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) -(((|#1|) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)))) +(((|#1|) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)))) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) ((((-576)) . T) (((-419 (-576))) . T) (($) . T)) (((|#1|) . T) (((-419 (-576))) . T) (($) . T)) @@ -2640,14 +2640,14 @@ (((|#1|) . T) (($) . T) (((-419 (-576))) . 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T)) (((|#2|) |has| |#2| (-174))) @@ -2656,7 +2656,7 @@ ((((-1196)) |has| |#1| (-915 (-1196))) (((-1101)) . T)) ((((-1196)) |has| |#1| (-915 (-1196))) (((-1107 (-1196))) . T)) (((|#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) -((($ (-1196)) -3739 (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))))) +((($ (-1196)) -2825 (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))))) ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (|has| |#1| (-38 (-419 (-576)))) @@ -2665,13 +2665,13 @@ (|has| |#1| (-146)) (|has| |#1| (-148)) ((($ $) . T)) -(-3739 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068)) (|has| |#1| (-1131)) (|has| |#1| (-1119))) +(-2825 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-485)) (|has| |#1| (-738)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068)) (|has| |#1| (-1131)) (|has| |#1| (-1119))) (|has| |#1| (-568)) (((|#2|) . T)) ((((-576)) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (((|#1|) . T)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1068))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1068))) (((|#1| (-59 |#1|) (-59 |#1|)) . T)) ((((-593 |#1|)) . T)) ((($) . T)) @@ -2691,7 +2691,7 @@ (((|#1|) . T)) (((|#3|) . T) (((-576)) . T)) ((((-1272 |#2| |#3| |#4|)) . T) (((-576)) . T) (((-1273 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) -((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1057 (-576)))) (((-576)) -3739 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1057 (-576))) (|has| |#1| (-1068))) ((|#1|) . T) (((-624 $)) . T) (($) |has| |#1| (-568)) (((-419 (-576))) -3739 (|has| |#1| (-568)) (|has| |#1| (-1057 (-419 (-576))))) (((-419 (-969 |#1|))) |has| |#1| (-568)) (((-969 |#1|)) |has| |#1| (-1068)) (((-1196)) . T)) +((((-48)) -12 (|has| |#1| (-568)) (|has| |#1| (-1057 (-576)))) (((-576)) -2825 (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-174)) (|has| |#1| (-568)) (|has| |#1| (-1057 (-576))) (|has| |#1| (-1068))) ((|#1|) . T) (((-624 $)) . T) (($) |has| |#1| (-568)) (((-419 (-576))) -2825 (|has| |#1| (-568)) (|has| |#1| (-1057 (-419 (-576))))) (((-419 (-969 |#1|))) |has| |#1| (-568)) (((-969 |#1|)) |has| |#1| (-1068)) (((-1196)) . T)) ((((-419 (-576))) |has| |#2| (-1057 (-419 (-576)))) (((-576)) |has| |#2| (-1057 (-576))) ((|#2|) . T) (((-876 |#1|)) . T)) ((($) . T) (((-117 |#1|)) . T) (((-419 (-576))) . T)) ((((-1144 |#1| |#2|)) . T) ((|#2|) . T) ((|#1|) . T) (((-576)) |has| |#1| (-1057 (-576))) (((-419 (-576))) |has| |#1| (-1057 (-419 (-576))))) @@ -2704,24 +2704,24 @@ (((|#1| |#2|) . T)) ((((-1196) |#1|) . T)) (((|#4|) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) ((((-1196) (-52)) . T)) ((((-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) (((-576)) |has| |#1| (-1057 (-576))) ((|#1|) . T)) ((((-1272 |#2| |#3| |#4|) (-329 |#2| |#3| |#4|)) . T)) ((((-874)) . 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T)) +((((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((|#1|) . T)) (|has| |#1| (-374)) -((($) |has| |#1| (-860)) (((-576)) -3739 (|has| |#1| (-21)) (|has| |#1| (-860)))) -((($) -3739 (-12 (|has| (-1279 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1279 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) +((($) |has| |#1| (-860)) (((-576)) -2825 (|has| |#1| (-21)) (|has| |#1| (-860)))) +((($) -2825 (-12 (|has| (-1279 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1279 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) ((($) |has| |#1| (-15 * (|#1| (-783) |#1|)))) (|has| |#1| (-146)) @@ -2736,18 +2736,18 @@ (((|#1|) . T)) (((|#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) (((|#2| |#3|) . T)) -(-3739 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) +(-2825 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) (((|#1| (-543 |#2|)) . T)) (((|#1| (-783)) . T)) (((|#1| (-543 (-1107 (-1196)))) . T)) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (|has| |#2| (-926)) -(-3739 (|has| |#2| (-805)) (|has| |#2| (-862))) +(-2825 (|has| |#2| (-805)) (|has| |#2| (-862))) ((((-874)) . T)) -(((|#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) -(((|#2|) -3739 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1068)))) -((($ (-1196)) -3739 (-12 (|has| |#3| (-915 (-1196))) (|has| |#3| (-1068))) (-12 (|has| |#3| (-917 (-1196))) (|has| |#3| (-1068))))) +(((|#2|) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)))) +(((|#2|) -2825 (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-738)) (|has| |#2| (-1068)))) +((($ (-1196)) -2825 (-12 (|has| |#3| (-915 (-1196))) (|has| |#3| (-1068))) (-12 (|has| |#3| (-917 (-1196))) (|has| |#3| (-1068))))) ((($ $) . T) ((#0=(-1272 |#2| |#3| |#4|) #0#) . T) ((#1=(-419 (-576)) #1#) |has| #0# (-38 (-419 (-576))))) ((((-927 |#1|)) . T)) (-12 (|has| |#1| (-374)) (|has| |#2| (-832))) @@ -2755,14 +2755,14 @@ ((((-874)) . T)) ((($) . T) (((-576)) . T)) ((($) . T)) -(-3739 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360)) (|has| |#1| (-568))) (|has| |#1| (-374)) (|has| |#1| (-374)) (((|#1| |#2|) . T)) ((($) . T) ((#0=(-1272 |#2| |#3| |#4|)) . T) (((-419 (-576))) |has| #0# (-38 (-419 (-576))))) ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) -(-3739 (-12 (|has| |#1| (-317)) (|has| |#1| (-926))) (|has| |#1| (-374)) (|has| |#1| (-360))) -(-3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) +(-2825 (-12 (|has| |#1| (-317)) (|has| |#1| (-926))) (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) ((((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T)) (((|#1| |#2|) . T)) ((((-874)) . T)) @@ -2799,7 +2799,7 @@ ((($) . T)) (((|#4|) . T)) ((($) . T)) -((($ (-1196)) -3739 (-12 (|has| |#1| (-374)) (|has| |#1| (-915 (-1196)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1196)))))) +((($ (-1196)) -2825 (-12 (|has| |#1| (-374)) (|has| |#1| (-915 (-1196)))) (-12 (|has| |#1| (-374)) (|has| |#1| (-917 (-1196)))))) ((((-874)) . T)) (((|#1| (-543 (-1196))) . T)) ((($ $) . T)) @@ -2809,29 +2809,29 @@ (((|#2|) . T)) (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1119)))) (((|#2|) . T)) -(((|#2|) -3739 (|has| |#2| (-6 (-4464 "*"))) (|has| |#2| (-174)))) -(-3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) -(-3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(((|#2|) -2825 (|has| |#2| (-6 (-4464 "*"))) (|has| |#2| (-174)))) +(-2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) +(-2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) (|has| |#2| (-926)) (|has| |#1| (-926)) -((($) -3739 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))))) +((($) -2825 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))))) (((|#2|) |has| |#2| (-174))) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-1279 |#1| |#2| |#3|)) |has| |#1| (-374))) ((((-874)) . T)) ((((-874)) . T)) ((((-548)) . T) (((-576)) . T) (((-905 (-576))) . T) (((-390)) . T) (((-227)) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-576)) . T)) -((((-2 (|:| -4147 (-1178)) (|:| -3153 (-52)))) . T)) +((((-2 (|:| -3658 (-1178)) (|:| -1932 (-52)))) . T)) (((|#1|) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((((-874)) . T)) (((|#1| |#2|) . T)) ((($) . T) (((-576)) . T)) (((|#1| (-419 (-576))) . T)) (((|#1|) . T)) -(-3739 (|has| |#1| (-300)) (|has| |#1| (-374))) +(-2825 (|has| |#1| (-300)) (|has| |#1| (-374))) ((((-145)) . T)) ((((-576)) |has| #0=(-419 |#2|) (-651 (-576))) ((#0#) . T) (((-419 (-576))) . T) (($) . T)) (|has| |#1| (-860)) @@ -2847,7 +2847,7 @@ ((((-874)) . T)) ((((-874)) . T)) ((((-189)) . T) (((-874)) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (((|#2| |#2|) . T) ((|#1| |#1|) . T)) ((((-874)) . T)) ((((-874)) . T)) @@ -2862,10 +2862,10 @@ ((((-1178)) . T)) ((((-1196) |#1|) |has| |#1| (-526 (-1196) |#1|)) ((|#1| |#1|) |has| |#1| (-319 |#1|))) (|has| |#1| (-862)) -((((-2 (|:| -4147 (-1178)) (|:| -3153 |#1|))) . T)) +((((-2 (|:| -3658 (-1178)) (|:| -1932 |#1|))) . T)) ((((-874)) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((($) -3739 (-12 (|has| (-1194 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1194 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) +((($) -2825 (-12 (|has| (-1194 |#1| |#2| |#3|) (-238)) (|has| |#1| (-374))) (-12 (|has| (-1194 |#1| |#2| |#3|) (-237)) (|has| |#1| (-374))) (|has| |#1| (-15 * (|#1| (-576) |#1|))))) ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) ((((-874)) . T)) (((|#2|) |has| |#2| (-374))) @@ -2879,13 +2879,13 @@ (|has| |#4| (-1068)) (|has| |#3| (-1068)) ((((-1196) (-52)) . T)) -(-3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(-2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-3739 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068))) -(-3739 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) +(-2825 (|has| |#2| (-21)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-1068))) +(-2825 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) (|has| |#1| (-926)) ((((-927 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) (|has| |#1| (-926)) @@ -2894,7 +2894,7 @@ (((|#1|) . T)) ((((-874)) . T)) ((((-576)) . T)) -((($ (-1196)) -3739 (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))))) +((($ (-1196)) -2825 (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))))) (((#0=(-419 (-576)) #0#) . T) (($ $) . T)) ((((-419 (-576))) . T) (($) . T)) (((|#1| (-419 (-576)) (-1101)) . T)) @@ -2903,12 +2903,12 @@ (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) (|has| |#1| (-832)) (((#0=(-927 |#1|) #0#) . T) (($ $) . T) ((#1=(-419 (-576)) #1#) . T)) ((((-419 |#2|)) . T)) (|has| |#1| (-860)) -((((-1223 |#1|)) . T) (((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) +((((-1223 |#1|)) . T) (((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) (((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) . T) ((#1=(-576) #1#) . T) (($ $) . T)) ((((-927 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) (((|#2|) |has| |#2| (-1068)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068)))) @@ -2925,35 +2925,35 @@ (((|#2|) |has| |#2| (-174))) (((|#1|) . T)) (((|#2|) . T)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) -((((-2 (|:| -4147 (-1196)) (|:| -3153 (-52)))) . T)) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) +((((-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))) . T)) ((((-576) |#3|) . T)) -(((#0=(-52)) . T) (((-2 (|:| -4147 (-1196)) (|:| -3153 #0#))) . T)) +(((#0=(-52)) . T) (((-2 (|:| -3658 (-1196)) (|:| -1932 #0#))) . T)) (|has| |#1| (-360)) ((((-576)) . T)) ((((-874)) . T)) (((|#1|) . T)) (((#0=(-1273 |#1| |#2| |#3| |#4|) $) |has| #0# (-296 #0# #0#))) (|has| |#1| (-374)) -(-3739 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) -(((|#1|) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1068))) (($) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) (((-576)) -3739 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068)))) +(-2825 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) +(((|#1|) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1068))) (($) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068))) (((-576)) -2825 (|has| |#1| (-21)) (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-915 (-1196))) (|has| |#1| (-1068)))) (((#0=(-1101) |#1|) . T) ((#0# $) . T) (($ $) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) (((#0=(-419 (-576)) #0#) . T) ((#1=(-711) #1#) . T) (($ $) . T)) ((((-326 |#1|)) . T) (($) . T)) (((|#1|) . T) (((-419 (-576))) |has| |#1| (-374))) ((((-874)) . T)) (|has| |#1| (-1119)) (((|#1|) . T)) -(((|#1|) -3739 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) -(((|#1|) -3739 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) +(((|#1|) -2825 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) +(((|#1|) -2825 (|has| |#2| (-378 |#1|)) (|has| |#2| (-429 |#1|)))) (((|#2|) . T)) ((((-419 (-576))) . T) (((-711)) . T) (($) . T)) ((((-591)) . T)) (((|#3| |#3|) . T)) -((($ (-1196)) -3739 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) +((($ (-1196)) -2825 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) (|has| |#2| (-238)) ((((-876 |#1|)) . T)) ((((-1196)) |has| |#1| (-915 (-1196))) ((|#3|) . T)) @@ -2972,10 +2972,10 @@ (|has| |#1| (-1119)) (((|#2|) . T)) (((|#1|) . T)) -((($) -3739 (|has| |#1| (-238)) (|has| |#1| (-237)))) +((($) -2825 (|has| |#1| (-238)) (|has| |#1| (-237)))) ((((-576)) . T)) (((|#2|) . T) (((-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((|#1|) . T) (($) . T) (((-576)) . T)) -(-3739 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(-2825 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) (((|#2|) . T) (((-576)) |has| |#2| (-651 (-576)))) (((|#1| |#2|) . T)) ((($) . T)) @@ -3022,7 +3022,7 @@ (|has| |#2| (-1041)) ((($) . T)) (|has| |#1| (-926)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((($) . T)) (((|#2|) . T)) (((|#1|) . T)) @@ -3031,14 +3031,14 @@ (|has| |#1| (-374)) ((((-927 |#1|)) . T)) ((($) . T) (((-576)) . T) ((|#1|) . T) (((-419 (-576))) . T)) -((($) -3739 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) -((($) |has| |#1| (-860)) (((-576)) -3739 (|has| |#1| (-21)) (|has| |#1| (-860)))) +((($) -2825 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) |has| |#1| (-860)) (((-576)) -2825 (|has| |#1| (-21)) (|has| |#1| (-860)))) ((($ $) . T) ((#0=(-419 (-576)) #0#) . T)) -(-3739 (|has| |#1| (-379)) (|has| |#1| (-862))) +(-2825 (|has| |#1| (-379)) (|has| |#1| (-862))) (((|#1|) . T)) ((((-783)) . T)) ((((-874)) . T)) -(-3739 (-12 (|has| |#3| (-238)) (|has| |#3| (-1068))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1068)))) +(-2825 (-12 (|has| |#3| (-238)) (|has| |#3| (-1068))) (-12 (|has| |#3| (-237)) (|has| |#3| (-1068)))) ((((-1196)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196))))) ((((-419 |#2|) |#3|) . T)) ((($) . T) (((-419 (-576))) . T)) @@ -3046,17 +3046,17 @@ ((((-576)) . T) (($) . T)) ((((-576)) . T) (($) . T)) ((((-783) |#1|) . T)) -(((|#2| (-245 (-2845 |#1|) (-783))) . T)) +(((|#2| (-245 (-2866 |#1|) (-783))) . T)) (((|#1| (-543 |#3|)) . T)) ((((-419 (-576))) . T)) -(-3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(-2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((((-1178)) . T) (((-874)) . T)) -(((#0=(-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) #0#) |has| (-2 (|:| -4147 (-1196)) (|:| -3153 (-52))) (-319 (-2 (|:| -4147 (-1196)) (|:| -3153 (-52)))))) +(((#0=(-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) #0#) |has| (-2 (|:| -3658 (-1196)) (|:| -1932 (-52))) (-319 (-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))))) ((((-1178)) . T)) (|has| |#1| (-926)) (|has| |#2| (-374)) (((|#1|) . T) (($) . T) (((-576)) . T)) -(-3739 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) +(-2825 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) ((((-874)) . T)) (((|#1|) . T)) @@ -3073,11 +3073,11 @@ (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -(-3739 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-317)) (|has| |#1| (-374)) (|has| |#1| (-360))) (|has| |#1| (-38 (-419 (-576)))) (-12 (|has| |#1| (-557)) (|has| |#1| (-840))) ((((-874)) . T)) -((((-1196)) -3739 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-915 (-1196)))))) +((((-1196)) -2825 (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-915 (-1196)))))) (|has| |#1| (-374)) ((((-1196)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196))))) (|has| |#1| (-374)) @@ -3090,11 +3090,11 @@ ((((-576) |#1|) . T)) ((((-1196)) |has| |#1| (-915 (-1196)))) (((|#1|) . T)) -(-3739 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360))) +(-2825 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360))) (((|#2|) |has| |#1| (-374))) (((|#2|) |has| |#1| (-374))) ((((-576)) . T) (($) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) |has| |#1| (-174))) @@ -3126,11 +3126,11 @@ (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (((|#2|) |has| |#1| (-374))) ((((-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-899 (-390)))) (((-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-899 (-576))))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-374)) (((|#1|) . T)) ((($) . T) (((-576)) . T) ((|#2|) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (((|#3|) . T)) ((((-1178)) . T) (((-518)) . T) (((-227)) . T) (((-576)) . T)) (((|#1|) . T)) @@ -3138,23 +3138,23 @@ (|has| |#1| (-568)) (((|#4| |#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1119)))) ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) -(-3739 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) +(-2825 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) (((|#2|) . T)) (((|#2|) . T)) (|has| |#2| (-1068)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) -((((-2 (|:| -4147 (-1178)) (|:| -3153 |#1|))) . T)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) +((((-2 (|:| -3658 (-1178)) (|:| -1932 |#1|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) (|has| |#1| (-38 (-419 (-576)))) (((|#1| |#2|) . T)) (|has| |#1| (-38 (-419 (-576)))) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) ((($) . T)) ((((-1178) |#1|) . T)) (|has| |#1| (-148)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) (|has| |#1| (-148)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-379))) ((($) . T)) (|has| |#1| (-148)) ((((-593 |#1|)) . T)) @@ -3169,7 +3169,7 @@ ((((-419 (-576))) |has| |#2| (-1057 (-576))) (((-576)) |has| |#2| (-1057 (-576))) (((-1196)) |has| |#2| (-1057 (-1196))) ((|#2|) . T)) (((#0=(-419 |#2|) #0#) . T) ((#1=(-419 (-576)) #1#) . T) (($ $) . T)) (((|#1|) . T)) -(-3739 (|has| |#1| (-146)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-146)) (|has| |#1| (-360))) (|has| |#1| (-148)) ((((-874)) . T)) ((($) . T)) @@ -3189,7 +3189,7 @@ ((((-419 |#2|)) . T)) ((((-874)) . T)) (((|#1|) . T)) -((((-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) +((((-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) (|has| |#1| (-1119)) (|has| |#1| (-803)) (|has| |#1| (-803)) @@ -3197,7 +3197,7 @@ ((((-927 |#1|)) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) ((((-874)) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) ((((-115)) . T) ((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -3206,7 +3206,7 @@ ((((-1273 |#1| |#2| |#3| |#4|)) . T) (($) . T) (((-419 (-576))) . T)) (((|#1|) |has| |#1| (-174)) (($) |has| |#1| (-568)) (((-419 (-576))) |has| |#1| (-568))) ((((-874)) . T)) -(-3739 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) +(-2825 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) ((((-874)) . T)) (((|#2|) . T)) (((|#2|) . T)) @@ -3219,10 +3219,10 @@ ((((-874)) . T)) (((|#2|) . T)) ((((-576)) . T)) -((((-1196)) -3739 (|has| (-419 |#2|) (-915 (-1196))) (|has| (-419 |#2|) (-917 (-1196))))) +((((-1196)) -2825 (|has| (-419 |#2|) (-915 (-1196))) (|has| (-419 |#2|) (-917 (-1196))))) ((((-874)) . T)) ((((-576)) . T)) -(-3739 (|has| |#2| (-805)) (|has| |#2| (-862))) +(-2825 (|has| |#2| (-805)) (|has| |#2| (-862))) ((((-171 (-390))) . T) (((-227)) . T) (((-390)) . T)) ((((-874)) . T)) ((((-874)) . T)) @@ -3234,10 +3234,10 @@ (((|#1|) . T) (($) . T) (((-419 (-576))) . 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T)) @@ -3247,20 +3247,20 @@ (((#0=(-117 |#1|) $) |has| #0# (-296 #0# #0#))) (((|#1|) |has| |#1| (-174))) ((((-326 |#1|)) . T) (((-576)) . T)) -(-3739 (|has| |#2| (-238)) (|has| |#2| (-237))) +(-2825 (|has| |#2| (-238)) (|has| |#2| (-237))) (((|#1|) . T)) ((((-874)) . T)) ((((-115)) . T) ((|#1|) . T)) ((((-874)) . T)) -((((-1196)) -3739 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) +((((-1196)) -2825 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) (((|#1|) |has| |#1| (-319 |#1|))) ((((-576) |#1|) . T) (((-1254 (-576)) $) . T)) (((|#1| |#2|) . T)) ((((-1196) |#1|) . T)) -(((|#1|) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)))) +(((|#1|) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)))) (((|#1|) . T)) ((($ (-1196)) . T)) -(((|#1|) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1068)))) +(((|#1|) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-1068)))) ((((-576)) . T) (((-419 (-576))) . T)) (((|#1|) . T)) (|has| |#1| (-568)) @@ -3270,15 +3270,15 @@ ((((-419 |#2|)) . T) (((-419 (-576))) . T) (($) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-374)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) (|has| |#1| (-374)) (|has| |#1| (-568)) ((($) . T)) (|has| |#1| (-1119)) ((((-792 |#1| (-876 |#2|))) |has| (-792 |#1| (-876 |#2|)) (-319 (-792 |#1| (-876 |#2|))))) -(-3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) +(-2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) (((|#1|) . T)) (((|#2| |#3|) . T)) (((|#1|) . T)) @@ -3288,16 +3288,16 @@ (|has| |#1| (-238)) (((|#1| (-543 (-1107 (-1196)))) . 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T) (((-419 (-576))) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) +((($) -2825 (-12 (|has| |#1| (-238)) (|has| |#1| (-374))) (-12 (|has| |#1| (-237)) (|has| |#1| (-374))) (|has| |#1| (-360)))) +(((|#1|) . T) (((-419 (-576))) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) ((((-576)) |has| |#1| (-899 (-576))) (((-390)) |has| |#1| (-899 (-390)))) (((|#1|) . T)) @@ -3448,7 +3448,7 @@ (((|#1|) . T)) (((|#1|) |has| |#1| (-174))) (((|#4|) -12 (|has| |#4| (-319 |#4|)) (|has| |#4| (-1119)))) -(((|#2|) -3739 (|has| |#2| (-6 (-4464 "*"))) (|has| |#2| (-174)))) +(((|#2|) -2825 (|has| |#2| (-6 (-4464 "*"))) (|has| |#2| (-174)))) (((|#2|) . T)) (|has| |#1| (-374)) (((|#2|) . T)) @@ -3462,12 +3462,12 @@ (((|#2| (-783)) . T)) ((((-1196)) . T)) ((((-882 |#1|)) . 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T)) (|has| |#2| (-926)) -((((-2 (|:| -4147 (-1196)) (|:| -3153 (-52)))) . T)) +((((-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))) . T)) ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576))))) ((((-874)) . T)) ((((-874)) . T)) @@ -3504,7 +3504,7 @@ ((((-1192 |#1|)) . T) (((-874)) . T)) ((((-874)) . T)) ((((-419 (-576))) |has| |#2| (-1057 (-419 (-576)))) (((-576)) |has| |#2| (-1057 (-576))) ((|#2|) . T) (((-876 |#1|)) . T)) -((((-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196)))) (((-1101)) . T)) +((((-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196)))) (((-1101)) . T)) ((((-117 |#1|)) . T) (($) . T) (((-419 (-576))) . T)) ((((-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) (((-576)) |has| |#1| (-1057 (-576))) ((|#1|) . T) (((-1196)) . T)) ((((-874)) . T)) @@ -3523,10 +3523,10 @@ ((((-656 |#1|)) . T)) ((($) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|)))) ((($) . 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T)) ((((-1201)) . T)) (((|#1|) |has| |#1| (-174)) (($) . T)) @@ -3541,15 +3541,15 @@ ((((-874)) . T)) (((|#1|) . T)) (|has| |#1| (-1119)) -(((|#2| (-494 (-2845 |#1|) (-783))) . T)) +(((|#2| (-494 (-2866 |#1|) (-783))) . T)) ((((-576) |#1|) . T)) ((((-1178)) . T) (((-874)) . T)) (((|#2| |#2|) . T)) (((|#1| (-543 (-1196))) . T)) -(-3739 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) +(-2825 (|has| |#2| (-21)) (|has| |#2| (-132)) (|has| |#2| (-174)) (|has| |#2| (-374)) (|has| |#2| (-805)) (|has| |#2| (-1068))) ((((-576)) . T)) (((|#2|) . T)) -((($) -3739 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))))) +((($) -2825 (-12 (|has| |#2| (-238)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))))) (((|#2|) . T)) ((((-1196)) |has| |#1| (-915 (-1196))) (((-1101)) . T)) (((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) @@ -3558,9 +3558,9 @@ ((($) . T) (((-419 (-576))) . T)) ((($) . T)) ((($) . T)) -(-3739 (|has| |#1| (-862)) (|has| |#1| (-1119))) +(-2825 (|has| |#1| (-862)) (|has| |#1| (-1119))) (((|#1|) . T)) -((($) -3739 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -2825 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((((-874)) . T)) ((((-145)) . T)) (((|#1|) . T) (((-419 (-576))) . T)) @@ -3569,7 +3569,7 @@ ((((-874)) . T)) (((|#1|) . T)) (|has| |#1| (-1171)) -((($ (-1196)) -3739 (|has| (-419 |#2|) (-915 (-1196))) (|has| (-419 |#2|) (-917 (-1196))))) +((($ (-1196)) -2825 (|has| (-419 |#2|) (-915 (-1196))) (|has| (-419 |#2|) (-917 (-1196))))) (((|#1|) . T)) (((|#1| (-543 (-876 |#2|)) (-876 |#2|) (-792 |#1| (-876 |#2|))) . T)) ((((-419 $) (-419 $)) |has| |#1| (-568)) (($ $) . T) ((|#1| |#1|) . T)) @@ -3594,43 +3594,43 @@ (|has| |#1| (-1119)) (|has| |#1| (-1119)) (|has| |#2| (-374)) -(((|#1|) . T) (($) -3739 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) +(((|#1|) . T) (($) -2825 (|has| |#1| (-300)) (|has| |#1| (-374))) (((-419 (-576))) |has| |#1| (-374))) (|has| |#1| (-374)) (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576)))) -((($) -3739 (|has| |#2| (-238)) (|has| |#2| (-237)))) +((($) -2825 (|has| |#2| (-238)) (|has| |#2| (-237)))) ((((-576)) . T)) -((($ (-1196)) -3739 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) +((($ (-1196)) -2825 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) ((((-1196)) -12 (|has| |#4| (-915 (-1196))) (|has| |#4| (-1068)))) ((((-1196)) -12 (|has| |#3| (-915 (-1196))) (|has| |#3| (-1068)))) (((|#1|) . T)) (|has| |#1| (-238)) -(((|#2| (-245 (-2845 |#1|) (-783))) . T)) +(((|#2| (-245 (-2866 |#1|) (-783))) . T)) (((|#1| (-543 |#3|)) . 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T)) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) ((((-548)) |has| |#1| (-626 (-548)))) (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) (((|#1|) . T) (((-419 (-576))) . T) (($) . T) (((-576)) . T)) @@ -3650,16 +3650,16 @@ (|has| |#2| (-374)) (((|#2|) |has| |#2| (-1068)) (((-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068)))) (((|#1|) . T)) -(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . T) (($ $) -3739 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) -((($ $) -3739 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1| |#1|) . T) ((#0=(-419 (-576)) #0#) |has| |#1| (-38 (-419 (-576))))) +(((#0=(-419 (-576)) #0#) |has| |#2| (-38 (-419 (-576)))) ((|#2| |#2|) . 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T) (($) -2825 (|has| |#2| (-174)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) +((($) -2825 (|has| |#1| (-174)) (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) (((|#1|) . T) (($) . T) (((-419 (-576))) . T)) @@ -3671,12 +3671,12 @@ (((|#1|) . 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T) (((-576)) |has| |#1| (-1057 (-576))) (((-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) (((-1196)) . T)) ((($) . T)) @@ -3756,12 +3756,12 @@ (((#0=(-1273 |#1| |#2| |#3| |#4|)) |has| #0# (-319 #0#))) ((($) . T)) (((|#1|) . T)) -((($ $) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2| |#2|) |has| |#1| (-374)) ((|#1| |#1|) . T)) -(((|#1| |#1|) . T) (($ $) -3739 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -3739 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) +((($ $) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374))) ((|#2| |#2|) |has| |#1| (-374)) ((|#1| |#1|) . T)) +(((|#1| |#1|) . T) (($ $) -2825 (|has| |#1| (-174)) (|has| |#1| (-374)) (|has| |#1| (-568))) ((#0=(-419 (-576)) #0#) -2825 (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-374)))) (|has| |#2| (-238)) (|has| $ (-148)) ((((-874)) . T)) -((($) . T) (((-419 (-576))) -3739 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) +((($) . T) (((-419 (-576))) -2825 (|has| |#1| (-374)) (|has| |#1| (-360))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) ((((-874)) . T)) (|has| |#1| (-860)) ((((-130)) . T)) @@ -3769,7 +3769,7 @@ ((((-419 (-576))) . T) (((-711)) . T) (($) . T) (((-576)) . T)) (((|#1|) . T)) ((((-130)) . T)) -((($ (-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) +((($ (-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196))))) ((((-874)) . T)) (-12 (|has| |#1| (-317)) (|has| |#1| (-926))) (((|#2| (-684 |#1|)) . T)) @@ -3778,24 +3778,24 @@ ((((-874)) |has| |#1| (-1119))) (((|#4|) . 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T)) (((|#2| |#2|) . T) ((#0=(-419 (-576)) #0#) . T) (($ $) . T)) (((|#2|) . T) (((-419 (-576))) . T) (($) . T)) @@ -3832,7 +3832,7 @@ ((((-874)) . T)) ((((-874)) . T)) ((((-874)) . T)) -(-3739 (|has| |#1| (-238)) (|has| |#1| (-237))) +(-2825 (|has| |#1| (-238)) (|has| |#1| (-237))) (((|#1|) . T) (((-874)) . T) (((-1201)) . T)) ((((-1201)) . T)) ((((-874)) . T)) @@ -3842,21 +3842,21 @@ (((|#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (((|#1| (-543 (-876 |#2|)) (-876 |#2|) (-792 |#1| (-876 |#2|))) . T)) (((|#1| |#2| (-245 |#1| |#2|) (-245 |#1| |#2|)) . T)) -((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) +((((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) |has| |#2| (-174)) (($) -2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926)))) (((|#2|) . T) ((|#6|) . T)) ((($) . T) (((-419 (-576))) |has| |#2| (-38 (-419 (-576)))) ((|#2|) . 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T)) -((($) -3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) +((($) -2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) ((((-874)) . T)) (|has| |#2| (-926)) ((($ $) . T) (((-1196) $) . T)) @@ -3871,7 +3871,7 @@ (((|#1| |#1|) |has| |#1| (-174))) ((((-711)) . T)) ((((-711)) . T)) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) ((((-1201)) . T)) (((|#1|) |has| |#1| (-174))) ((((-1201)) . T)) @@ -3882,20 +3882,20 @@ (((|#1|) |has| |#1| (-174)) (((-419 (-576))) |has| |#1| (-568)) (($) |has| |#1| (-568))) ((((-419 (-576))) . T) (($) . T)) (((|#1| (-576)) . T)) -((($ (-1196)) -3739 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196)))) (($ (-1101)) . T)) +((($ (-1196)) -2825 (|has| |#1| (-915 (-1196))) (|has| |#1| (-917 (-1196)))) (($ (-1101)) . T)) ((((-419 (-576))) . T) (((-576)) . T) (($) . T)) (((|#1|) |has| |#1| (-174))) ((((-1201)) . T)) ((((-1201)) . T)) ((((-1201)) . T)) ((((-1201)) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) ((((-1201)) . T)) ((((-1201)) . T)) (|has| |#1| (-374)) (|has| |#1| (-374)) -(-3739 (|has| |#1| (-174)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-174)) (|has| |#1| (-568))) (((|#1| (-576)) . T)) (((|#1| (-419 (-576))) . T)) (((|#1| (-783)) . T)) @@ -3904,23 +3904,23 @@ ((((-576) |#1|) . T)) ((((-576) |#1|) . T)) (|has| |#1| (-1119)) -(-3739 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) +(-2825 (|has| (-419 |#2|) (-238)) (|has| (-419 |#2|) (-237))) ((((-576) |#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) ((((-905 (-390))) . 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T)) (|has| |#2| (-1068)) ((((-1196)) -12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068)))) -(-3739 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) +(-2825 (-12 (|has| |#1| (-485)) (|has| |#2| (-485))) (-12 (|has| |#1| (-738)) (|has| |#2| (-738)))) (|has| |#1| (-146)) (|has| |#1| (-148)) (|has| |#1| (-374)) @@ -3953,7 +3953,7 @@ (((|#1| |#2|) . T)) ((((-576)) . T) ((|#2|) |has| |#2| (-174))) ((((-115)) . T) ((|#1|) . T) (((-576)) . T)) -(-3739 (|has| |#1| (-360)) (|has| |#1| (-379))) +(-2825 (|has| |#1| (-360)) (|has| |#1| (-379))) (((|#1| |#2|) . T)) ((((-227)) . T)) ((((-419 (-576))) . T) (($) . T) (((-576)) . T)) @@ -3962,11 +3962,11 @@ ((($) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576)))) ((|#1|) . T) (((-576)) |has| |#1| (-651 (-576)))) ((($) . T) (((-576)) |has| |#1| (-651 (-576))) ((|#1|) . T) (((-419 (-576))) |has| |#1| (-38 (-419 (-576))))) (((|#2|) |has| |#2| (-1119)) (((-576)) -12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119))) (((-419 (-576))) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119)))) -(-3739 (|has| |#2| (-238)) (|has| |#2| (-237))) +(-2825 (|has| |#2| (-238)) (|has| |#2| (-237))) (((|#1|) . T)) (((|#1|) . T)) ((((-548)) |has| |#1| (-626 (-548)))) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-862)) (|has| |#1| (-1119)))) ((((-576) $) . T) (((-656 (-576)) $) . T)) ((($) . T) (((-419 (-576))) . T)) (|has| |#1| (-926)) @@ -3978,14 +3978,14 @@ (((|#1| |#1|) |has| |#1| (-174))) (((|#1|) . T) (((-576)) . T)) ((((-1201)) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-568))) -(-3739 (|has| |#1| (-21)) (|has| |#1| (-860))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-568))) +(-2825 (|has| |#1| (-21)) (|has| |#1| (-860))) (((|#2|) . T)) -(-3739 (|has| |#1| (-21)) (|has| |#1| (-860))) +(-2825 (|has| |#1| (-21)) (|has| |#1| (-860))) (((|#1|) |has| |#1| (-174))) (((|#1|) . T)) (((|#1|) . T)) -((((-874)) -3739 (-12 (|has| |#1| (-625 (-874))) (|has| |#2| (-625 (-874)))) (-12 (|has| |#1| (-1119)) (|has| |#2| (-1119))))) +((((-874)) -2825 (-12 (|has| |#1| (-625 (-874))) (|has| |#2| (-625 (-874)))) (-12 (|has| |#1| (-1119)) (|has| |#2| (-1119))))) ((((-419 |#2|) |#3|) . T)) ((((-419 (-576))) . T) (($) . T)) (|has| |#1| (-38 (-419 (-576)))) @@ -4009,7 +4009,7 @@ ((((-1201)) . T)) ((((-576)) . T)) (((|#2|) . T)) -((((-1196)) -3739 (-12 (|has| (-1194 |#1| |#2| |#3|) (-915 (-1196))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196)))))) +((((-1196)) -2825 (-12 (|has| (-1194 |#1| |#2| |#3|) (-915 (-1196))) (|has| |#1| (-374))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196)))))) ((((-1196)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196))))) ((((-1196)) -12 (|has| |#1| (-15 * (|#1| (-783) |#1|))) (|has| |#1| (-915 (-1196))))) (((|#1| |#1|) . T) (($ $) . T)) @@ -4024,11 +4024,11 @@ ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) ((((-1159 |#1| |#2|)) . T)) ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) -(((|#2|) . T) (((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) -((((-2 (|:| -4147 (-1196)) (|:| -3153 (-52)))) . T)) +(((|#2|) . T) (((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) +((((-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))) . T)) ((($) . T)) (|has| |#1| (-1041)) -(((|#2|) . T) (((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((($) . T)) ((((-874)) . T)) ((((-548)) |has| |#2| (-626 (-548))) (((-905 (-576))) |has| |#2| (-626 (-905 (-576)))) (((-905 (-390))) |has| |#2| (-626 (-905 (-390)))) (((-390)) . #0=(|has| |#2| (-1041))) (((-227)) . #0#)) @@ -4037,7 +4037,7 @@ (((|#1|) . T)) (|has| |#1| (-38 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576)))) -((((-1196)) -3739 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) +((((-1196)) -2825 (|has| |#2| (-915 (-1196))) (|has| |#2| (-917 (-1196))))) ((((-874)) . T)) (((|#2|) . T)) ((((-874)) . T)) @@ -4047,15 +4047,15 @@ ((((-1194 |#1| |#2| |#3|)) . T)) ((((-1194 |#1| |#2| |#3|)) . T) (((-1187 |#1| |#2| |#3|)) . T)) ((((-874)) . T)) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) ((((-576) |#1|) . T)) ((((-1194 |#1| |#2| |#3|)) |has| |#1| (-374))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (((|#2|) . T)) (|has| |#2| (-374)) -(((|#3|) . T) ((|#2|) . T) ((|#4|) -3739 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1068))) (($) |has| |#4| (-1068)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1068)))) -(((|#2|) . T) ((|#3|) -3739 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1068))) (($) |has| |#3| (-1068)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1068)))) +(((|#3|) . T) ((|#2|) . T) ((|#4|) -2825 (|has| |#4| (-174)) (|has| |#4| (-374)) (|has| |#4| (-1068))) (($) |has| |#4| (-1068)) (((-576)) -12 (|has| |#4| (-651 (-576))) (|has| |#4| (-1068)))) +(((|#2|) . T) ((|#3|) -2825 (|has| |#3| (-174)) (|has| |#3| (-374)) (|has| |#3| (-1068))) (($) |has| |#3| (-1068)) (((-576)) -12 (|has| |#3| (-651 (-576))) (|has| |#3| (-1068)))) (((|#1|) . T)) (((|#1|) . T)) ((((-117 |#1|)) . T)) @@ -4069,7 +4069,7 @@ ((((-189)) . T) (((-874)) . T)) ((((-874)) . T)) (((|#1|) . T)) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) ((((-130)) . T) (((-874)) . T)) ((((-576) |#1|) . T) (((-1254 (-576)) $) . T)) ((((-130)) . T)) @@ -4078,14 +4078,14 @@ (((|#1|) . T)) (((|#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) (($ $) . T) (((-576) |#1|) . T)) ((($ $) . T) (((-419 (-576)) |#1|) . T)) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-926))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-464)) (|has| |#1| (-926))) ((($ (-1196)) |has| |#1| (-1068))) -(-3739 (|has| |#1| (-862)) (|has| |#1| (-1119))) +(-2825 (|has| |#1| (-862)) (|has| |#1| (-1119))) ((((-874)) . T)) ((((-874)) . T)) ((((-874)) . T)) (((|#1| (-543 |#2|)) . T)) -((((-2 (|:| -4147 (-1196)) (|:| -3153 (-52)))) . T)) +((((-2 (|:| -3658 (-1196)) (|:| -1932 (-52)))) . T)) ((((-576) (-130)) . T)) (((|#1| (-576)) . T)) (((|#1| (-419 (-576))) . T)) @@ -4100,8 +4100,8 @@ ((((-1201)) . T)) ((((-874)) . T) (((-1201)) . T)) ((((-874)) . T) (((-1201)) . T)) -(-3739 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) -(-3739 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) +(-2825 (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) +(-2825 (|has| |#1| (-464)) (|has| |#1| (-568)) (|has| |#1| (-926))) ((($) . T)) (((|#2| (-543 (-876 |#1|))) . T)) ((((-1201)) . T)) @@ -4116,7 +4116,7 @@ ((((-1201)) . T)) ((((-874)) . T) (((-1201)) . T)) ((((-1201)) . T)) -((((-874)) -3739 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) +((((-874)) -2825 (|has| |#1| (-625 (-874))) (|has| |#1| (-1119)))) (((|#1|) . T)) (((|#2| (-783)) . T)) (((|#1| |#2|) . T)) @@ -4125,7 +4125,7 @@ ((((-419 |#2|)) . T)) (|has| |#1| (-568)) (|has| |#1| (-568)) -((((-2 (|:| -4147 |#1|) (|:| -3153 |#2|))) . T)) +((((-2 (|:| -3658 |#1|) (|:| -1932 |#2|))) . T)) ((($) . T) ((|#2|) . T)) ((($) . T) (((-419 (-576))) . T)) ((((-419 (-576))) . T) (($) . T)) @@ -4134,14 +4134,14 @@ ((((-576)) . T) (($) . T)) (((|#2| $) |has| |#2| (-296 |#2| |#2|))) (((|#1| (-656 |#1|)) |has| |#1| (-860))) -(-3739 (|has| |#1| (-238)) (|has| |#1| (-360))) -(-3739 (|has| |#1| (-374)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-238)) (|has| |#1| (-360))) +(-2825 (|has| |#1| (-374)) (|has| |#1| (-360))) ((((-1283 |#1|)) . T) (((-576)) . T) ((|#2|) . T) (((-419 (-576))) |has| |#2| (-1057 (-419 (-576))))) (|has| |#1| (-1119)) (((|#1|) . T)) -((((-1283 |#1|)) . T) (((-576)) . T) (($) -3739 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) (((-1101)) . T) ((|#2|) . T) (((-419 (-576))) -3739 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1057 (-419 (-576)))))) +((((-1283 |#1|)) . T) (((-576)) . T) (($) -2825 (|has| |#2| (-374)) (|has| |#2| (-464)) (|has| |#2| (-568)) (|has| |#2| (-926))) (((-1101)) . T) ((|#2|) . T) (((-419 (-576))) -2825 (|has| |#2| (-38 (-419 (-576)))) (|has| |#2| (-1057 (-419 (-576)))))) ((((-419 (-576))) . T) (($) . T)) -((((-1018 |#1|)) . T) ((|#1|) . T) (((-576)) -3739 (|has| (-1018 |#1|) (-1057 (-576))) (|has| |#1| (-1057 (-576)))) (((-419 (-576))) -3739 (|has| (-1018 |#1|) (-1057 (-419 (-576)))) (|has| |#1| (-1057 (-419 (-576)))))) +((((-1018 |#1|)) . T) ((|#1|) . T) (((-576)) -2825 (|has| (-1018 |#1|) (-1057 (-576))) (|has| |#1| (-1057 (-576)))) (((-419 (-576))) -2825 (|has| (-1018 |#1|) (-1057 (-419 (-576)))) (|has| |#1| (-1057 (-419 (-576)))))) ((((-927 |#1|)) . T) (((-419 (-576))) . T) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (((|#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) @@ -4158,12 +4158,12 @@ (((|#1| |#2| |#3| |#4|) . T)) (((#0=(-1159 |#1| |#2|) #0#) |has| (-1159 |#1| |#2|) (-319 (-1159 |#1| |#2|)))) (((|#1|) . 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((-350 . -21) T) ((-350 . -25) T) ((-40 . -360) NIL) ((-176 . -21) T) ((-176 . -25) T) ((-656 . -384) 199100) ((-617 . -502) 199082) ((-614 . -296) 199034) ((-617 . -625) 199001) ((-400 . -102) T) ((-1139 . -144) T) ((-127 . -625) 198933) ((-886 . -1119) T) ((-670 . -423) 198917) ((-743 . -1237) T) ((-726 . -625) 198899) ((-255 . -625) 198866) ((-189 . -625) 198848) ((-163 . -625) 198830) ((-158 . -625) 198812) ((-1302 . -738) T) ((-1121 . -34) T) ((-883 . -807) NIL) ((-883 . -804) NIL) ((-870 . -862) T) ((-743 . -899) NIL) ((-1311 . -132) T) ((-392 . -132) T) ((-905 . -628) 198780) ((-921 . -102) T) ((-743 . -1057) 198656) ((-1194 . -1237) T) ((-1193 . -1237) T) ((-543 . -132) T) ((-1187 . -1237) T) ((-1106 . -423) 198640) ((-1019 . -501) 198624) ((-118 . -412) 198601) ((-1145 . -1237) T) ((-794 . -423) 198585) ((-792 . -423) 198569) ((-960 . -34) T) ((-706 . -1171) NIL) ((-258 . -660) 198389) ((-257 . -660) 198196) ((-829 . -937) 198175) ((-466 . -423) 198159) ((-614 . -19) 198143) ((-1165 . -1230) 198112) ((-1187 . -899) NIL) ((-1187 . -897) 198064) ((-614 . -616) 198041) ((-1223 . -625) 197973) ((-1195 . -625) 197955) ((-62 . -407) T) ((-1193 . -1057) 197890) ((-1187 . -1057) 197856) ((-706 . -38) 197806) ((-40 . -658) 197736) ((-486 . -296) 197694) ((-1243 . -625) 197676) ((-743 . -388) 197660) ((-850 . -625) 197642) ((-670 . -1077) T) ((-635 . -917) 197565) ((-1271 . -1021) 197531) ((-1250 . -1021) 197497) ((-256 . -1237) T) ((-1107 . -628) 197481) ((-1082 . -1213) 197456) ((-1095 . -628) 197433) ((-884 . -626) 197240) ((-884 . -625) 197222) ((-118 . -917) NIL) ((-713 . -234) 197209) ((-1209 . -501) 197146) ((-430 . -1041) 197124) ((-48 . -319) 197111) ((-1082 . -107) 197057) ((-491 . -501) 196994) ((-532 . -1237) T) ((-1187 . -349) 196946) ((-1160 . -501) 196917) ((-1187 . -388) 196869) ((-1106 . -1077) T) ((-449 . -102) T) ((-185 . -1119) T) ((-258 . -34) T) ((-257 . -34) T) ((-794 . -1077) T) ((-792 . -1077) T) ((-743 . -915) 196846) ((-466 . -1077) T) 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-381) 195677) ((-885 . -625) 195549) ((-128 . -126) 195533) ((-122 . -126) 195517) ((-848 . -1075) 195487) ((-845 . -21) 195439) ((-839 . -1075) 195423) ((-845 . -25) 195375) ((-329 . -568) 195326) ((-529 . -628) 195307) ((-576 . -840) T) ((-245 . -1237) T) ((-1053 . -628) 195276) ((-848 . -111) 195241) ((-839 . -111) 195220) ((-1271 . -625) 195202) ((-1250 . -625) 195184) ((-1250 . -626) 194855) ((-1192 . -926) 194834) ((-1144 . -926) 194813) ((-48 . -38) 194778) ((-1309 . -1131) T) ((-548 . -296) 194734) ((-614 . -625) 194646) ((-614 . -626) 194607) ((-1307 . -1131) T) ((-372 . -628) 194591) ((-332 . -628) 194575) ((-1161 . -237) 194526) ((-245 . -1057) 194353) ((-1192 . -660) 194242) ((-1144 . -660) 194131) ((-866 . -660) 194105) ((-730 . -625) 194087) ((-558 . -379) T) ((-1309 . -23) T) ((-706 . -917) NIL) ((-1307 . -23) T) ((-503 . -1119) T) ((-390 . -628) 194037) ((-390 . -630) 194019) ((-1053 . -1068) T) ((-877 . -102) T) ((-1209 . -296) 193998) ((-171 . -379) 193949) ((-1023 . -1237) T) ((-848 . -628) 193903) ((-839 . -628) 193858) ((-44 . -23) T) ((-491 . -296) 193837) ((-598 . -1119) T) ((-1316 . -102) T) ((-1165 . -1128) 193806) ((-1123 . -1122) 193758) ((-402 . -21) T) ((-402 . -25) T) ((-153 . -1131) T) ((-1231 . -729) 193655) ((-1217 . -1119) T) ((-1023 . -897) 193637) ((-1023 . -899) 193619) ((-635 . -232) 193603) ((-635 . -272) 193587) ((-633 . -21) T) ((-299 . -568) T) ((-633 . -25) T) ((-1023 . -1057) 193547) ((-723 . -729) 193512) ((-245 . -388) 193481) ((-390 . -1068) T) ((-225 . -1077) T) ((-118 . -272) 193458) ((-118 . -232) 193435) ((-59 . -296) 193387) ((-153 . -23) T) ((-528 . -296) 193339) ((-337 . -526) 193272) ((-508 . -296) 193224) ((-390 . -248) T) ((-390 . -238) T) ((-848 . -1068) T) ((-839 . -1068) T) ((-724 . -966) 193193) ((-713 . -862) T) ((-486 . -625) 193175) ((-1273 . -1070) 193080) ((-592 . -658) 193052) ((-576 . -658) 193024) ((-507 . -658) 192974) ((-839 . -238) 192953) ((-135 . -862) T) ((-1273 . -652) 192845) ((-670 . -1119) T) ((-1209 . -616) 192824) ((-562 . -1213) 192803) ((-347 . -1119) T) ((-329 . -374) 192782) ((-419 . -148) 192761) ((-419 . -146) 192740) ((-981 . -1131) 192639) ((-245 . -915) 192571) ((-827 . -1131) 192549) ((-666 . -864) 192533) ((-491 . -616) 192512) ((-562 . -107) 192462) ((-1023 . -388) 192444) ((-1023 . -349) 192426) ((-1196 . -625) 192408) ((-97 . -1119) T) ((-981 . -23) 192219) ((-489 . -21) T) ((-489 . -25) T) ((-827 . -23) 192071) ((-1196 . -626) 191993) ((-59 . -19) 191977) ((-1192 . -738) T) ((-1144 . -738) T) ((-1106 . -1119) T) ((-528 . -19) 191961) ((-508 . -19) 191945) ((-59 . -616) 191922) ((-1022 . -237) 191859) ((-918 . -102) 191837) ((-866 . -738) T) ((-794 . -1119) T) ((-528 . -616) 191814) ((-508 . -616) 191791) ((-792 . -1119) T) ((-792 . -1084) 191758) ((-473 . -1119) T) ((-466 . -1119) T) ((-598 . -729) 191733) ((-661 . -1119) T) ((-1279 . -47) 191710) ((-1273 . -102) T) ((-1272 . -47) 191680) ((-1251 . -47) 191657) ((-1231 . -174) 191608) ((-1193 . -317) 191587) ((-1187 . -317) 191566) ((-1115 . -628) 191547) ((-1109 . -628) 191528) ((-1099 . -568) 191479) ((-1099 . -1241) 191430) ((-1023 . -915) NIL) ((-1092 . -628) 191411) ((-682 . -132) T) ((-639 . -1131) T) ((-1085 . -628) 191392) ((-1055 . -628) 191373) ((-1038 . -628) 191354) ((-726 . -1075) 191324) ((-711 . -658) 191274) ((-284 . -1119) T) ((-85 . -453) T) ((-85 . -407) T) ((-724 . -909) 191177) ((-723 . -174) T) ((-50 . -1119) T) ((-607 . -47) 191154) ((-227 . -660) 191119) ((-593 . -1119) T) ((-530 . -1119) T) ((-499 . -832) T) ((-499 . -937) T) ((-370 . -1241) T) ((-364 . -1241) T) ((-356 . -1241) T) ((-329 . -1131) T) ((-326 . -1070) 191029) ((-323 . -1070) 190958) ((-108 . -1241) T) ((-638 . -628) 190939) ((-370 . -568) T) ((-219 . -937) T) ((-219 . -832) T) ((-326 . -652) 190849) ((-323 . -652) 190778) ((-364 . -568) T) ((-356 . -568) T) ((-495 . -628) 190759) ((-108 . -568) T) ((-670 . -729) 190729) ((-1187 . -1041) NIL) ((-220 . -628) 190710) ((-329 . -23) T) ((-67 . -1237) T) ((-1019 . -625) 190642) ((-706 . -272) 190624) ((-706 . -232) 190606) ((-726 . -111) 190571) ((-656 . -34) T) ((-250 . -501) 190555) ((-1316 . -1171) T) ((-1311 . -21) T) ((-1311 . -25) T) ((-1309 . -132) T) ((-1121 . -1117) 190539) ((-173 . -1119) T) ((-1307 . -132) T) ((-1300 . -102) T) ((-1283 . -625) 190505) ((-1279 . -1237) T) ((-1272 . -1237) T) ((-969 . -926) 190484) ((-1272 . -1057) 190419) ((-1251 . -1237) T) ((-1251 . -899) NIL) ((-527 . -628) 190403) ((-1251 . -897) 190355) ((-1251 . -1057) 190321) ((-1231 . -526) 190288) ((-493 . -926) 190267) ((-1209 . -626) NIL) ((-1209 . -625) 190249) ((-1106 . -729) 190098) ((-1081 . -660) 190070) ((-969 . -660) 189959) ((-609 . -502) 189940) ((-597 . -502) 189921) ((-794 . -729) 189750) ((-609 . -625) 189716) ((-597 . -625) 189682) ((-548 . -625) 189664) ((-548 . -626) 189645) ((-792 . -729) 189494) ((-1096 . -102) T) ((-392 . -25) T) ((-635 . -658) 189466) ((-392 . -21) T) ((-493 . -660) 189355) ((-473 . -729) 189326) ((-466 . -729) 189175) ((-1006 . -102) T) ((-1161 . -1142) 189120) ((-1065 . -1230) 189049) ((-918 . -319) 188987) ((-749 . -102) T) ((-118 . -658) 188917) ((-617 . -628) 188899) ((-888 . -93) T) ((-726 . -628) 188853) ((-543 . -25) T) ((-693 . -93) T) ((-688 . -93) T) ((-676 . -625) 188835) ((-657 . -502) 188816) ((-142 . -102) T) ((-44 . -132) T) ((-657 . -625) 188769) ((-607 . -1237) T) ((-354 . -1077) T) ((-299 . -1131) T) ((-490 . -93) T) ((-419 . -237) 188720) ((-366 . -625) 188702) ((-363 . -625) 188684) ((-355 . -625) 188666) ((-273 . -626) 188414) ((-273 . -625) 188396) ((-253 . -625) 188378) ((-253 . -626) 188239) ((-139 . -93) T) ((-138 . -93) T) ((-134 . -93) T) ((-1160 . -625) 188221) ((-1139 . -652) 188208) ((-1139 . -1070) 188195) ((-831 . -738) T) ((-831 . -869) T) ((-614 . -298) 188172) ((-593 . -729) 188137) ((-491 . -626) NIL) ((-491 . -625) 188119) ((-530 . -729) 188064) ((-326 . -102) T) ((-323 . -102) T) ((-299 . -23) T) ((-153 . -132) T) ((-927 . -625) 188046) ((-927 . -626) 188028) ((-398 . -738) T) ((-884 . -1075) 187980) ((-884 . -111) 187918) ((-726 . -1068) T) ((-724 . -1263) 187902) ((-706 . -360) NIL) ((-115 . -102) T) ((-140 . -102) T) ((-137 . -102) T) ((-531 . -625) 187834) ((-390 . -807) T) ((-225 . -1119) T) ((-169 . -1237) T) ((-390 . -804) T) ((-227 . -806) T) ((-227 . -803) T) ((-59 . -626) 187795) ((-59 . -625) 187707) ((-227 . -738) T) ((-528 . -626) 187668) ((-528 . -625) 187580) ((-509 . -625) 187512) ((-508 . -626) 187473) ((-508 . -625) 187385) ((-1099 . -374) 187336) ((-40 . -423) 187313) ((-77 . -1237) T) ((-883 . -926) NIL) ((-370 . -339) 187297) ((-370 . -374) T) ((-364 . -339) 187281) ((-364 . -374) T) ((-356 . -339) 187265) ((-356 . -374) T) ((-326 . -294) 187244) ((-108 . -374) T) ((-70 . -1237) T) ((-1251 . -349) 187196) ((-883 . -660) 187141) ((-1251 . -388) 187093) ((-981 . -132) 186948) ((-827 . -132) 186819) ((-975 . -663) 186803) ((-1106 . -174) 186714) ((-975 . -384) 186698) ((-1081 . -806) T) ((-1081 . -803) T) ((-884 . -628) 186596) ((-794 . -174) 186487) ((-792 . -174) 186398) ((-828 . -47) 186360) ((-1081 . -738) T) ((-337 . -501) 186344) ((-969 . -738) T) ((-1300 . -319) 186282) ((-1279 . -915) 186195) ((-466 . -174) 186106) ((-250 . -296) 186058) ((-1272 . -915) 185964) ((-1271 . -1075) 185799) ((-1251 . -915) 185632) ((-493 . -738) T) ((-1250 . -1075) 185440) ((-1231 . -300) 185419) ((-1206 . -1237) T) ((-1203 . -379) T) ((-1202 . -379) T) ((-1165 . -152) 185403) ((-1139 . -102) T) ((-1137 . -1119) T) ((-1099 . -23) T) ((-1099 . -1131) T) ((-1094 . -102) T) ((-1076 . -625) 185370) ((-1022 . -421) 185342) ((-944 . -972) T) ((-749 . -319) 185280) ((-75 . -1237) T) ((-676 . -393) 185252) ((-171 . -926) 185205) ((-30 . -972) T) ((-112 . -856) T) ((-1 . -625) 185187) ((-1018 . -909) 185108) ((-129 . -663) 185090) ((-50 . -632) 185074) ((-706 . -658) 185009) ((-607 . -915) 184922) ((-450 . -102) T) ((-129 . -384) 184904) ((-142 . -319) NIL) ((-884 . -1068) T) ((-845 . -862) 184883) ((-81 . -1237) T) ((-723 . -300) T) ((-40 . -1077) T) ((-593 . -174) T) ((-530 . -174) T) ((-523 . -625) 184865) ((-171 . -660) 184739) ((-519 . -625) 184721) ((-362 . -148) 184703) ((-362 . -146) T) ((-370 . -1131) T) ((-364 . -1131) T) ((-356 . -1131) T) ((-1023 . -317) T) ((-931 . -317) T) ((-884 . -248) T) ((-108 . -1131) T) ((-884 . -238) 184682) ((-1271 . -111) 184503) ((-1250 . -111) 184292) ((-250 . -1275) 184276) ((-576 . -860) T) ((-370 . -23) T) ((-365 . -360) T) ((-326 . -319) 184263) ((-323 . -319) 184204) ((-364 . -23) T) ((-329 . -132) T) ((-356 . -23) T) ((-1023 . -1041) T) ((-31 . -628) 184185) ((-108 . -23) T) ((-666 . -1070) 184169) ((-250 . -616) 184146) ((-343 . -1119) T) ((-666 . -652) 184116) ((-1273 . -38) 184008) ((-1260 . -926) 183987) ((-112 . -1119) T) ((-828 . -1237) T) ((-1054 . -102) T) ((-1260 . -660) 183876) ((-883 . -806) NIL) ((-867 . -660) 183850) ((-883 . -803) NIL) ((-828 . -899) NIL) ((-883 . -738) T) ((-1106 . -526) 183723) ((-794 . -526) 183670) ((-792 . -526) 183622) ((-583 . -660) 183609) ((-828 . -1057) 183437) ((-466 . -526) 183380) ((-400 . -401) T) ((-1271 . -628) 183193) ((-1250 . -628) 182941) ((-60 . -1237) T) ((-633 . -862) 182920) ((-512 . -673) T) ((-1165 . -995) 182889) ((-1043 . -658) 182826) ((-1022 . -464) T) ((-711 . -860) T) ((-522 . -804) T) ((-486 . -1075) 182661) ((-512 . -113) T) ((-354 . -1119) T) ((-323 . -1171) NIL) ((-299 . -132) T) ((-406 . -1119) T) ((-882 . -1077) T) ((-706 . -381) 182628) ((-365 . -658) 182558) ((-225 . -632) 182535) ((-337 . -296) 182487) ((-486 . -111) 182308) ((-1271 . -1068) T) ((-1250 . -1068) T) ((-828 . -388) 182292) ((-171 . -738) T) ((-666 . -102) T) ((-1271 . -248) 182271) ((-1271 . -238) 182223) ((-1250 . -238) 182128) ((-1250 . -248) 182107) ((-1022 . -414) NIL) ((-682 . -651) 182055) ((-326 . -38) 181965) ((-323 . -38) 181894) ((-69 . -625) 181876) ((-329 . -505) 181842) ((-48 . -658) 181792) ((-1209 . -298) 181771) ((-1245 . -862) T) ((-1132 . -1131) 181749) ((-83 . -1237) T) ((-61 . -625) 181731) ((-491 . -298) 181710) ((-1302 . -1057) 181687) ((-1184 . -1119) T) ((-1132 . -23) 181539) ((-828 . -915) 181475) ((-1260 . -738) T) ((-1121 . -1237) T) ((-486 . -628) 181301) ((-362 . -237) T) ((-1106 . -300) 181232) ((-983 . -1119) T) ((-906 . -102) T) ((-794 . -300) 181143) ((-337 . -19) 181127) ((-59 . -298) 181104) ((-792 . -300) 181035) ((-867 . -738) T) ((-118 . -860) NIL) ((-528 . -298) 181012) ((-337 . -616) 180989) ((-508 . -298) 180966) ((-466 . -300) 180897) ((-1054 . -319) 180748) ((-888 . -502) 180729) ((-888 . -625) 180695) ((-693 . -502) 180676) ((-583 . -738) T) ((-688 . -502) 180657) ((-693 . -625) 180607) ((-688 . -625) 180573) ((-674 . -625) 180555) ((-490 . -502) 180536) ((-490 . -625) 180502) ((-250 . -626) 180463) ((-250 . -502) 180440) ((-139 . -502) 180421) ((-138 . -502) 180402) ((-134 . -502) 180383) ((-250 . -625) 180275) ((-215 . -102) T) ((-139 . -625) 180241) ((-138 . -625) 180207) ((-134 . -625) 180173) ((-1166 . -34) T) ((-960 . -1237) T) ((-354 . -729) 180118) ((-682 . -25) T) ((-682 . -21) T) ((-1196 . -628) 180099) ((-486 . -1068) T) ((-647 . -429) 180064) ((-619 . -429) 180029) ((-1139 . -1171) T) ((-724 . -1070) 179852) ((-593 . -300) T) ((-530 . -300) T) ((-1272 . -317) 179831) ((-486 . -238) 179783) ((-486 . -248) 179762) ((-1251 . -317) 179741) ((-724 . -652) 179570) ((-1251 . -1041) NIL) ((-1099 . -132) T) ((-884 . -807) 179549) ((-145 . -102) T) ((-40 . -1119) T) ((-884 . -804) 179528) ((-656 . -1029) 179512) ((-592 . -1077) T) ((-576 . -1077) T) ((-507 . -1077) T) ((-419 . -464) T) ((-370 . -132) T) ((-326 . -412) 179496) ((-323 . -412) 179457) ((-364 . -132) T) ((-356 . -132) T) ((-1201 . -1119) T) ((-1139 . -38) 179444) ((-1113 . -625) 179411) ((-108 . -132) T) ((-971 . -1119) T) ((-938 . -1119) T) ((-783 . -1119) T) ((-684 . -1119) T) ((-713 . -148) T) ((-117 . -148) T) ((-1309 . -21) T) ((-1309 . -25) T) ((-1307 . -21) T) ((-1307 . -25) T) ((-676 . -1075) 179395) ((-543 . -862) T) ((-512 . -862) T) ((-366 . -1075) 179347) ((-363 . -1075) 179299) ((-355 . -1075) 179251) ((-258 . -1237) T) ((-257 . -1237) T) ((-273 . -1075) 179094) ((-253 . -1075) 178937) ((-676 . -111) 178916) ((-829 . -1241) 178895) ((-559 . -856) T) ((-326 . -917) 178861) ((-366 . -111) 178799) ((-363 . -111) 178737) ((-355 . -111) 178675) ((-273 . -111) 178504) ((-253 . -111) 178333) ((-323 . -917) NIL) ((-635 . -423) 178317) ((-44 . -21) T) ((-44 . -25) T) ((-827 . -651) 178223) ((-829 . -568) 178202) ((-258 . -1057) 178029) ((-257 . -1057) 177856) ((-127 . -120) 177840) ((-927 . -1075) 177805) ((-724 . -102) T) ((-711 . -1077) T) ((-609 . -628) 177786) ((-597 . -628) 177767) ((-548 . -630) 177670) ((-354 . -174) T) ((-88 . -625) 177652) ((-153 . -21) T) ((-153 . -25) T) ((-927 . -111) 177608) ((-40 . -729) 177553) ((-882 . -1119) T) ((-676 . -628) 177530) ((-657 . -628) 177511) ((-366 . -628) 177448) ((-363 . -628) 177385) ((-559 . -1119) T) ((-355 . -628) 177322) ((-337 . -626) 177283) ((-337 . -625) 177195) ((-273 . -628) 176948) ((-253 . -628) 176733) ((-1250 . -804) 176686) ((-1250 . -807) 176639) ((-258 . -388) 176608) ((-257 . -388) 176577) ((-666 . -38) 176547) ((-620 . -34) T) ((-494 . -1131) 176525) ((-487 . -34) T) ((-1132 . -132) 176396) ((-981 . -25) 176207) ((-927 . -628) 176157) ((-886 . -625) 176139) ((-981 . -21) 176094) ((-827 . -25) 175927) ((-827 . -21) 175838) ((-1243 . -379) T) ((-635 . -1077) T) ((-1198 . -568) 175817) ((-1192 . -47) 175794) ((-366 . -1068) T) ((-363 . -1068) T) ((-494 . -23) 175646) ((-355 . -1068) T) ((-273 . -1068) T) ((-253 . -1068) T) ((-1144 . -47) 175618) ((-118 . -1077) T) ((-1053 . -660) 175592) ((-975 . -34) T) ((-366 . -238) 175571) ((-366 . -248) T) ((-363 . -238) 175550) ((-363 . -248) T) ((-355 . -238) 175529) ((-355 . -248) T) ((-273 . -336) 175501) ((-253 . -336) 175458) ((-273 . -238) 175437) ((-1176 . -152) 175421) ((-258 . -915) 175353) ((-257 . -915) 175285) ((-1161 . -909) 175206) ((-1101 . -862) T) ((-426 . -1131) T) ((-1073 . -23) T) ((-1043 . -860) T) ((-927 . -1068) T) ((-332 . -660) 175188) ((-713 . -237) T) ((-682 . -234) 175133) ((-1231 . -1021) 175099) ((-1193 . -937) 175078) ((-1187 . -937) 175057) ((-1187 . -832) NIL) ((-1018 . -1070) 174953) ((-984 . -1237) T) ((-927 . -248) T) ((-829 . -374) 174932) ((-396 . -23) T) ((-128 . -1119) 174910) ((-122 . -1119) 174888) ((-927 . -238) T) ((-129 . -34) T) ((-390 . -660) 174853) ((-1018 . -652) 174801) ((-882 . -729) 174788) ((-1316 . -658) 174760) ((-1065 . -152) 174725) ((-1012 . -1237) T) ((-40 . -174) T) ((-706 . -423) 174707) ((-724 . -319) 174694) ((-848 . -660) 174654) ((-839 . -660) 174628) ((-329 . -25) T) ((-329 . -21) T) ((-670 . -296) 174607) ((-592 . -1119) T) ((-576 . -1119) T) ((-507 . -1119) T) ((-250 . -298) 174584) ((-1192 . -1237) T) ((-1144 . -1237) T) ((-323 . -272) 174545) ((-323 . -232) 174506) ((-1192 . -899) NIL) ((-55 . -1119) T) ((-1144 . -899) 174365) ((-130 . -862) T) ((-1192 . -1057) 174245) ((-1144 . -1057) 174128) ((-185 . -625) 174110) ((-866 . -1057) 174006) ((-794 . -296) 173933) ((-829 . -1131) T) ((-1053 . -738) T) ((-1065 . -995) 173862) ((-614 . -663) 173846) ((-1022 . -909) 173753) ((-1018 . -102) T) ((-829 . -23) T) ((-724 . -1171) 173731) ((-706 . -1077) T) ((-614 . -384) 173715) ((-362 . -464) T) ((-354 . -300) T) ((-1288 . -1119) T) ((-254 . -1119) T) ((-411 . -102) T) ((-299 . -21) T) ((-299 . -25) T) ((-372 . -738) T) ((-722 . -1119) T) ((-711 . -1119) T) ((-372 . -485) T) ((-1231 . -625) 173697) ((-1192 . -388) 173681) ((-1144 . -388) 173665) ((-1043 . -423) 173627) ((-142 . -231) 173609) ((-390 . -806) T) ((-390 . -803) T) ((-882 . -174) T) ((-390 . -738) T) ((-723 . -625) 173591) ((-724 . -38) 173420) ((-1287 . -1285) 173404) ((-362 . -414) T) ((-1287 . -1119) 173354) ((-1210 . -1119) T) ((-592 . -729) 173341) ((-576 . -729) 173328) ((-507 . -729) 173293) ((-1273 . -658) 173183) ((-326 . -641) 173162) ((-848 . -738) T) ((-839 . -738) T) ((-656 . -1237) T) ((-1099 . -651) 173110) ((-1192 . -915) 173053) ((-1144 . -915) 173037) ((-827 . -234) 172928) ((-674 . -1075) 172912) ((-108 . -651) 172894) ((-494 . -132) 172765) ((-1198 . -1131) T) ((-969 . -47) 172734) ((-635 . -1119) T) ((-674 . -111) 172713) ((-503 . -625) 172679) ((-337 . -298) 172656) ((-493 . -47) 172613) ((-1198 . -23) T) ((-118 . -1119) T) ((-103 . -102) 172591) ((-1299 . -1131) T) ((-560 . -862) T) ((-227 . -1237) T) ((-1073 . -132) T) ((-1043 . -1077) T) ((-1299 . -23) T) ((-831 . -1057) 172575) ((-1217 . -625) 172557) ((-1022 . -736) 172529) ((-1139 . -840) T) ((-711 . -729) 172494) ((-598 . -625) 172476) ((-398 . -1057) 172460) ((-365 . -1077) T) ((-396 . -132) T) ((-334 . -1057) 172444) ((-1124 . -1119) T) ((-1099 . -21) T) ((-1099 . -25) T) ((-227 . -899) 172426) ((-1023 . -937) T) ((-91 . -34) T) ((-1023 . -832) T) ((-931 . -937) T) ((-1018 . -319) 172391) ((-888 . -628) 172372) ((-499 . -1241) T) ((-726 . -660) 172332) ((-693 . -628) 172313) ((-688 . -628) 172294) ((-219 . -1241) T) ((-419 . -909) 172215) ((-227 . -1057) 172175) ((-40 . -300) T) ((-499 . -568) T) ((-490 . -628) 172156) ((-370 . -25) T) ((-326 . -658) 171811) ((-323 . -658) 171725) ((-370 . -21) T) ((-364 . -25) T) ((-364 . -21) T) ((-219 . -568) T) ((-356 . -25) T) ((-356 . -21) T) ((-329 . -234) 171671) ((-250 . -628) 171648) ((-139 . -628) 171629) ((-138 . -628) 171610) ((-134 . -628) 171591) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1077) T) ((-592 . -174) T) ((-576 . -174) T) ((-507 . -174) T) ((-1081 . -1237) T) ((-969 . -1237) T) ((-670 . -625) 171573) ((-493 . -1237) T) ((-749 . -748) 171557) ((-347 . -625) 171539) ((-68 . -394) T) ((-68 . -407) T) ((-1121 . -107) 171523) ((-1081 . -899) 171505) ((-969 . -899) 171430) ((-665 . -1131) T) ((-635 . -729) 171417) ((-493 . -899) NIL) ((-1165 . -102) T) ((-1113 . -630) 171401) ((-1081 . -1057) 171383) ((-97 . -625) 171365) ((-489 . -148) T) ((-969 . -1057) 171245) ((-118 . -729) 171190) ((-724 . -917) 171097) ((-665 . -23) T) ((-493 . -1057) 170973) ((-1106 . -626) NIL) ((-1106 . -625) 170955) ((-794 . -626) NIL) ((-794 . -625) 170916) ((-792 . -626) 170550) ((-792 . -625) 170464) ((-1132 . -651) 170370) ((-473 . -625) 170352) ((-466 . -625) 170334) ((-466 . -626) 170195) ((-1054 . -231) 170141) ((-884 . -926) 170120) ((-127 . -34) T) ((-829 . -132) T) ((-661 . -625) 170102) ((-590 . -102) T) ((-366 . -1306) 170086) ((-363 . -1306) 170070) ((-355 . -1306) 170054) ((-128 . -526) 169987) ((-122 . -526) 169920) ((-523 . -804) T) ((-523 . -807) T) ((-522 . -806) T) ((-103 . -319) 169858) ((-224 . -102) 169836) ((-711 . -174) T) ((-706 . -1119) T) ((-884 . -660) 169752) ((-65 . -395) T) ((-284 . -625) 169734) ((-65 . -407) T) ((-969 . -388) 169718) ((-882 . -300) T) ((-50 . -625) 169700) ((-1018 . -38) 169648) ((-1139 . -658) 169620) ((-593 . -625) 169602) ((-493 . -388) 169586) ((-593 . -626) 169568) ((-530 . -625) 169550) ((-927 . -1306) 169537) ((-883 . -1237) T) ((-713 . -464) T) ((-507 . -526) 169503) ((-499 . -374) T) ((-366 . -379) 169482) ((-363 . -379) 169461) ((-355 . -379) 169440) ((-726 . -738) T) ((-219 . -374) T) ((-117 . -464) T) ((-1310 . -1301) 169424) ((-883 . -897) 169401) ((-883 . -899) NIL) ((-981 . -862) 169300) ((-827 . -862) 169251) ((-1244 . -102) T) ((-666 . -668) 169235) ((-1223 . -34) T) ((-173 . -625) 169217) ((-1132 . -25) 169050) ((-1132 . -21) 168961) ((-883 . -1057) 168938) ((-969 . -915) 168919) ((-1260 . -47) 168896) ((-927 . -379) T) ((-59 . -663) 168880) ((-528 . -663) 168864) ((-493 . -915) 168841) ((-71 . -453) T) ((-71 . -407) T) ((-508 . -663) 168825) ((-59 . -384) 168809) ((-635 . -174) T) ((-528 . -384) 168793) ((-508 . -384) 168777) ((-839 . -720) 168761) ((-1192 . -317) 168740) ((-1198 . -132) T) ((-1161 . -1070) 168724) ((-118 . -174) T) ((-1161 . -652) 168656) ((-1165 . -319) 168594) ((-171 . -1237) T) ((-1299 . -132) T) ((-878 . -1070) 168564) ((-647 . -756) 168548) ((-619 . -756) 168532) ((-1272 . -937) 168511) ((-1251 . -937) 168490) ((-1251 . -832) NIL) ((-878 . -652) 168460) ((-706 . -729) 168410) ((-1250 . -926) 168363) ((-1043 . -1119) T) ((-883 . -388) 168340) ((-883 . -349) 168317) ((-922 . -1131) T) ((-171 . -897) 168301) ((-171 . -899) 168226) ((-1287 . -526) 168159) ((-1271 . -660) 168056) ((-1099 . -234) 167929) ((-499 . -1131) T) ((-365 . -1119) T) ((-219 . -1131) T) ((-76 . -453) T) ((-76 . -407) T) ((-171 . -1057) 167825) ((-304 . -909) 167782) ((-329 . -862) T) ((-1250 . -660) 167590) ((-884 . -806) 167569) ((-884 . -803) 167548) ((-884 . -738) T) ((-499 . -23) T) ((-370 . -234) 167521) ((-364 . -234) 167494) ((-356 . -234) 167467) ((-225 . -625) 167449) ((-176 . -464) T) ((-224 . -319) 167387) ((-86 . -453) T) ((-86 . -407) T) ((-108 . -234) 167374) ((-219 . -23) T) ((-1311 . -1304) 167353) ((-689 . -1057) 167337) ((-592 . -300) T) ((-576 . -300) T) ((-507 . -300) T) ((-137 . -482) 167292) ((-1260 . -1237) T) ((-666 . -658) 167251) ((-48 . -1119) T) ((-724 . -272) 167235) ((-724 . -232) 167219) ((-883 . -915) NIL) ((-1260 . -899) NIL) ((-902 . -102) T) ((-898 . -102) T) ((-400 . -1119) T) ((-171 . -388) 167203) ((-171 . -349) 167187) ((-1260 . -1057) 167067) ((-867 . -1057) 166963) ((-1161 . -102) T) ((-1018 . -917) 166886) ((-674 . -804) 166865) ((-665 . -132) T) ((-674 . -807) 166844) ((-118 . -526) 166752) ((-583 . -1057) 166734) ((-304 . -1294) 166704) ((-878 . -102) T) ((-980 . -568) 166683) ((-1231 . -1075) 166566) ((-1022 . -1070) 166511) ((-494 . -651) 166417) ((-921 . -1119) T) ((-1043 . -729) 166354) ((-723 . -1075) 166319) ((-1022 . -652) 166264) ((-629 . -102) T) ((-614 . -34) T) ((-1166 . -1237) T) ((-1231 . -111) 166133) ((-486 . -660) 166030) ((-365 . -729) 165975) ((-171 . -915) 165934) ((-711 . -300) T) ((-706 . -174) T) ((-723 . -111) 165890) ((-1316 . -1077) T) ((-1260 . -388) 165874) ((-430 . -1241) 165852) ((-1137 . -625) 165834) ((-323 . -860) NIL) ((-430 . -568) T) ((-227 . -317) T) ((-1250 . -803) 165787) ((-1250 . -806) 165740) ((-1271 . -738) T) ((-1250 . -738) T) ((-48 . -729) 165705) ((-227 . -1041) T) ((-1273 . -423) 165671) ((-362 . -1294) 165648) ((-1260 . -915) 165591) ((-730 . -738) T) ((-343 . -625) 165573) ((-1231 . -628) 165455) ((-1132 . -234) 165346) ((-112 . -625) 165328) ((-112 . -626) 165310) ((-730 . -485) T) ((-723 . -628) 165260) ((-1310 . -1070) 165244) ((-494 . -25) 165077) ((-128 . -501) 165061) ((-122 . -501) 165045) ((-494 . -21) 164956) ((-1310 . -652) 164926) ((-635 . -300) T) ((-598 . -1075) 164901) ((-449 . -1119) T) ((-1081 . -317) T) ((-118 . -300) T) ((-1123 . -102) T) ((-1022 . -102) T) ((-598 . -111) 164869) ((-1161 . -319) 164807) ((-1231 . -1068) T) ((-1081 . -1041) T) ((-66 . -1237) T) ((-1073 . -25) T) ((-1073 . -21) T) ((-723 . -1068) T) ((-396 . -21) T) ((-396 . -25) T) ((-706 . -526) NIL) ((-1043 . -174) T) ((-723 . -248) T) ((-1081 . -557) T) ((-724 . -658) 164717) ((-518 . -102) T) ((-514 . -102) T) ((-365 . -174) T) ((-354 . -625) 164699) ((-419 . -1070) 164651) ((-406 . -625) 164633) ((-1139 . -860) T) ((-486 . -738) T) ((-905 . -1057) 164601) ((-419 . -652) 164553) ((-108 . -862) T) ((-670 . -1075) 164537) ((-499 . -132) T) ((-1273 . -1077) T) ((-219 . -132) T) ((-1176 . -102) 164515) ((-99 . -1119) T) ((-250 . -678) 164499) ((-250 . -663) 164483) ((-670 . -111) 164462) ((-598 . -628) 164446) ((-326 . -423) 164430) ((-250 . -384) 164414) ((-1179 . -240) 164361) ((-1018 . -272) 164345) ((-1018 . -232) 164329) ((-74 . -1237) T) ((-48 . -174) T) ((-713 . -399) T) ((-713 . -144) T) ((-1310 . -102) T) ((-1217 . -628) 164311) ((-1107 . -1237) T) ((-1106 . -1075) 164154) ((-1095 . -1237) T) ((-273 . -926) 164133) ((-253 . -926) 164112) ((-794 . -1075) 163935) ((-792 . -1075) 163778) ((-620 . -1237) T) ((-1184 . -625) 163760) ((-1106 . -111) 163589) ((-1065 . -102) T) ((-487 . -1237) T) ((-473 . -1075) 163560) ((-466 . -1075) 163403) ((-676 . -660) 163387) ((-883 . -317) T) ((-794 . -111) 163196) ((-792 . -111) 163025) ((-366 . -660) 162977) ((-363 . -660) 162929) ((-355 . -660) 162881) ((-273 . -660) 162770) ((-253 . -660) 162659) ((-1178 . -862) T) ((-1107 . -1057) 162643) ((-473 . -111) 162604) ((-466 . -111) 162433) ((-1095 . -1057) 162410) ((-1019 . -34) T) ((-983 . -625) 162392) ((-975 . -1237) T) ((-127 . -1029) 162376) ((-980 . -1131) T) ((-883 . -1041) NIL) ((-747 . -1131) T) ((-727 . -1131) T) ((-670 . -628) 162294) ((-1287 . -501) 162278) ((-1161 . -38) 162238) ((-980 . -23) T) ((-927 . -660) 162203) ((-877 . -1119) T) ((-855 . -102) T) ((-829 . -21) T) ((-647 . -1070) 162187) ((-619 . -1070) 162171) ((-829 . -25) T) ((-747 . -23) T) ((-727 . -23) T) ((-647 . -652) 162155) ((-110 . -673) T) ((-619 . -652) 162139) ((-593 . -1075) 162104) ((-530 . -1075) 162049) ((-229 . -57) 162007) ((-465 . -23) T) ((-419 . -102) T) ((-270 . -102) T) ((-110 . -113) T) ((-706 . -300) T) ((-878 . -38) 161977) ((-593 . -111) 161933) ((-530 . -111) 161862) ((-1106 . -628) 161598) ((-430 . -1131) T) ((-326 . -1077) 161488) ((-323 . -1077) T) ((-129 . -1237) T) ((-794 . -628) 161236) ((-792 . -628) 161002) ((-670 . -1068) T) ((-1316 . -1119) T) ((-466 . -628) 160787) ((-171 . -317) 160718) ((-430 . -23) T) ((-40 . -625) 160700) ((-40 . -626) 160684) ((-108 . -1011) 160666) ((-117 . -881) 160650) ((-661 . -628) 160634) ((-48 . -526) 160600) ((-1223 . -1029) 160584) ((-1201 . -625) 160551) ((-1209 . -34) T) ((-971 . -625) 160517) ((-938 . -625) 160499) ((-1132 . -862) 160450) ((-783 . -625) 160432) ((-684 . -625) 160414) ((-1176 . -319) 160352) ((-491 . -34) T) ((-1111 . -1237) T) ((-489 . -464) T) ((-1160 . -34) T) ((-1106 . -1068) T) ((-50 . -628) 160321) ((-794 . -1068) T) ((-792 . -1068) T) ((-659 . -240) 160305) ((-644 . -240) 160251) ((-593 . -628) 160201) ((-530 . -628) 160131) ((-494 . -234) 160022) ((-1260 . -317) 160001) ((-1106 . -336) 159962) ((-466 . -1068) T) ((-1198 . -21) T) ((-1106 . -238) 159941) ((-794 . -336) 159918) ((-794 . -238) T) ((-792 . -336) 159890) ((-743 . -1241) 159869) ((-337 . -663) 159853) ((-1198 . -25) T) ((-59 . -34) T) ((-531 . -34) T) ((-528 . -34) T) ((-466 . -336) 159832) ((-337 . -384) 159816) ((-509 . -34) T) ((-508 . -34) T) ((-1022 . -1171) NIL) ((-743 . -568) 159747) ((-647 . -102) T) ((-619 . -102) T) ((-366 . -738) T) ((-363 . -738) T) ((-355 . -738) T) ((-273 . -738) T) ((-253 . -738) T) ((-390 . -1237) T) ((-1065 . -319) 159655) ((-1299 . -21) T) ((-918 . -1119) 159633) ((-830 . -234) 159620) ((-50 . -1068) T) ((-1299 . -25) T) ((-1194 . -568) 159599) ((-1193 . -1241) 159578) ((-1193 . -568) 159529) ((-1187 . -1241) 159508) ((-1187 . -568) 159459) ((-593 . -1068) T) ((-530 . -1068) T) ((-1043 . -300) T) ((-372 . -1057) 159443) ((-332 . -1057) 159427) ((-1022 . -38) 159372) ((-390 . -899) 159354) ((-1018 . -658) 159277) ((-848 . -1237) T) ((-839 . -1237) 159256) ((-811 . -1131) T) ((-927 . -738) T) ((-593 . -248) T) ((-593 . -238) T) ((-530 . -238) T) ((-530 . -248) T) ((-1145 . -568) 159235) ((-365 . -300) T) ((-659 . -707) 159219) ((-390 . -1057) 159179) ((-304 . -1070) 159100) ((-350 . -909) 159079) ((-1139 . -1077) T) ((-103 . -126) 159063) ((-304 . -652) 159005) ((-811 . -23) T) ((-1309 . -1304) 158981) ((-1307 . -1304) 158960) ((-1287 . -296) 158912) ((-419 . -319) 158877) ((-1273 . -1119) T) ((-1161 . -917) 158800) ((-882 . -625) 158782) ((-848 . -1057) 158751) ((-205 . -799) T) ((-204 . -799) T) ((-203 . -799) T) ((-202 . -799) T) ((-201 . -799) T) ((-200 . -799) T) ((-199 . -799) T) ((-198 . -799) T) ((-197 . -799) T) ((-196 . -799) T) ((-559 . -625) 158733) ((-507 . -1021) T) ((-283 . -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 . -862) T) ((-666 . -423) 158717) ((-682 . -237) 158668) ((-225 . -628) 158630) ((-110 . -862) T) ((-665 . -21) T) ((-665 . -25) T) ((-1310 . -38) 158600) ((-118 . -296) 158551) ((-1287 . -19) 158535) ((-1287 . -616) 158512) ((-1300 . -1119) T) ((-362 . -1070) 158457) ((-1096 . -1119) T) ((-1006 . -1119) T) ((-980 . -132) T) ((-829 . -234) 158444) ((-749 . -1119) T) ((-362 . -652) 158389) ((-747 . -132) T) ((-727 . -132) T) ((-523 . -805) T) ((-523 . -806) T) ((-465 . -132) T) ((-419 . -1171) 158367) ((-225 . -1068) T) ((-304 . -102) 158149) ((-142 . -1119) T) ((-711 . -1021) T) ((-1124 . -296) 158105) ((-91 . -1237) T) ((-128 . -625) 158037) ((-122 . -625) 157969) ((-1316 . -174) T) ((-1193 . -374) 157948) ((-1187 . -374) 157927) ((-326 . -1119) T) ((-430 . -132) T) ((-323 . -1119) T) ((-419 . -38) 157879) ((-1152 . -102) T) ((-1273 . -729) 157771) ((-666 . -1077) T) ((-1154 . -1282) T) ((-329 . -146) 157750) ((-329 . -148) 157729) ((-140 . -1119) T) ((-137 . -1119) T) ((-115 . -1119) T) ((-870 . -102) T) ((-592 . -625) 157711) ((-576 . -626) 157610) ((-576 . -625) 157592) ((-507 . -625) 157574) ((-507 . -626) 157519) ((-497 . -23) T) ((-494 . -862) 157470) ((-499 . -651) 157452) ((-982 . -625) 157434) ((-1022 . -917) 157343) ((-219 . -651) 157325) ((-227 . -416) T) ((-674 . -660) 157309) ((-55 . -625) 157291) ((-1192 . -937) 157270) ((-743 . -1131) T) ((-362 . -102) T) ((-1236 . -1102) T) ((-1139 . -856) T) ((-830 . -862) T) ((-743 . -23) T) ((-354 . -1075) 157215) ((-1178 . -1177) T) ((-1166 . -107) 157199) ((-1194 . -1131) T) ((-1193 . -1131) T) ((-527 . -1057) 157183) ((-1187 . -1131) T) ((-1145 . -1131) T) ((-354 . -111) 157112) ((-1023 . -1241) T) ((-127 . -1237) T) ((-931 . -1241) T) ((-1288 . -625) 157094) ((-706 . -296) NIL) ((-726 . -1237) T) ((-1194 . -23) T) ((-1193 . -23) T) ((-1187 . -23) T) ((-1161 . -272) 157078) ((-1161 . -232) 157062) ((-1023 . -568) T) ((-1145 . -23) T) ((-931 . -568) T) ((-1094 . -1119) T) ((-254 . -625) 157044) ((-827 . -237) 156941) ((-811 . -132) T) ((-722 . -625) 156923) ((-326 . -729) 156833) ((-323 . -729) 156762) ((-711 . -625) 156744) ((-711 . -626) 156689) ((-419 . -412) 156673) ((-450 . -1119) T) ((-499 . -25) T) ((-499 . -21) T) ((-1139 . -1119) T) ((-219 . -25) T) ((-219 . -21) T) ((-724 . -423) 156657) ((-726 . -1057) 156626) ((-1287 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143114) ((-1300 . -625) 143076) ((-633 . -38) 143060) ((-1300 . -626) 143021) ((-1194 . -234) 142974) ((-1096 . -625) 142956) ((-1043 . -248) T) ((-365 . -1068) T) ((-827 . -1294) 142926) ((-258 . -23) T) ((-257 . -23) T) ((-1006 . -625) 142908) ((-1193 . -234) 142854) ((-1187 . -234) 142671) ((-749 . -626) 142632) ((-749 . -625) 142614) ((-1179 . -152) 142561) ((-811 . -862) 142540) ((-1023 . -25) T) ((-1018 . -526) 142452) ((-365 . -238) T) ((-365 . -248) T) ((-400 . -628) 142433) ((-927 . -317) T) ((-142 . -625) 142415) ((-142 . -626) 142374) ((-329 . -909) 142278) ((-1023 . -21) T) ((-990 . -25) T) ((-931 . -21) T) ((-931 . -25) T) ((-439 . -21) T) ((-439 . -25) T) ((-855 . -423) 142262) ((-48 . -1068) T) ((-1309 . -1301) 142246) ((-1307 . -1301) 142230) ((-1054 . -616) 142205) ((-326 . -626) 142066) ((-326 . -625) 142048) ((-323 . -626) NIL) ((-323 . -625) 142030) ((-48 . -248) T) ((-48 . -238) T) ((-666 . -296) 141991) ((-562 . -240) 141941) ((-140 . -625) 141908) ((-137 . -625) 141890) ((-115 . -625) 141872) ((-489 . -38) 141837) ((-1311 . -1308) 141816) ((-1302 . -132) T) ((-1310 . -1077) T) ((-1101 . -102) T) ((-88 . -1237) T) ((-512 . -319) NIL) ((-1019 . -107) 141800) ((-902 . -1119) T) ((-898 . -1119) T) ((-1287 . -663) 141784) ((-1287 . -384) 141768) ((-337 . -1237) T) ((-605 . -862) T) ((-1161 . -1119) T) ((-1161 . -1072) 141708) ((-103 . -526) 141641) ((-944 . -625) 141623) ((-354 . -738) T) ((-30 . -625) 141605) ((-878 . -1119) T) ((-855 . -1077) 141584) ((-40 . -660) 141491) ((-227 . -1241) T) ((-419 . -1077) T) ((-1178 . -152) 141473) ((-1018 . -300) 141424) ((-629 . -1119) T) ((-227 . -568) T) ((-329 . -1268) 141408) ((-329 . -1265) 141378) ((-713 . -658) 141350) ((-1209 . -1213) 141329) ((-1094 . -625) 141311) ((-1209 . -107) 141261) ((-659 . -152) 141245) ((-644 . -152) 141191) ((-117 . -658) 141163) ((-491 . -1213) 141142) ((-499 . -148) T) ((-499 . -146) NIL) ((-1139 . -626) 141057) ((-450 . -625) 141039) ((-219 . -148) T) ((-219 . -146) NIL) 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-234) 137070) ((-845 . -658) 136987) ((-486 . -937) 136966) ((-329 . -1070) 136801) ((-326 . -1075) 136711) ((-323 . -1075) 136640) ((-1018 . -296) 136598) ((-419 . -729) 136550) ((-329 . -652) 136391) ((-607 . -234) 136344) ((-713 . -860) T) ((-1273 . -1068) T) ((-326 . -111) 136240) ((-323 . -111) 136153) ((-981 . -102) T) ((-827 . -102) 135905) ((-724 . -626) NIL) ((-724 . -625) 135887) ((-1273 . -336) 135831) ((-670 . -1057) 135727) ((-1106 . -1237) T) ((-1054 . -298) 135702) ((-592 . -738) T) ((-576 . -806) T) ((-171 . -374) 135653) ((-576 . -803) T) ((-576 . -738) T) ((-507 . -738) T) ((-794 . -1237) T) ((-792 . -1237) T) ((-1165 . -501) 135637) ((-466 . -1237) T) ((-1106 . -899) NIL) ((-883 . -1131) T) ((-118 . -926) NIL) ((-1309 . -1308) 135613) ((-1307 . -1308) 135592) ((-794 . -899) NIL) ((-792 . -899) 135451) ((-1302 . -25) T) ((-1302 . -21) T) ((-1234 . -102) 135429) ((-1125 . -407) T) ((-635 . -660) 135416) ((-466 . -899) NIL) ((-687 . -102) 135394) ((-1106 . -1057) 135221) ((-883 . -23) T) ((-794 . -1057) 135080) ((-792 . -1057) 134937) ((-118 . -660) 134882) ((-466 . -1057) 134758) ((-326 . -628) 134322) ((-323 . -628) 134205) ((-402 . -658) 134174) ((-661 . -1057) 134158) ((-639 . -102) T) ((-593 . -1237) T) ((-530 . -1237) T) ((-224 . -501) 134142) ((-1287 . -34) T) ((-633 . -658) 134101) ((-299 . -1070) 134088) ((-137 . -628) 134072) ((-299 . -652) 134059) ((-647 . -729) 134043) ((-619 . -729) 134027) ((-682 . -38) 133987) ((-329 . -102) T) ((-85 . -625) 133969) ((-50 . -1057) 133953) ((-1139 . -1075) 133940) ((-1106 . -388) 133924) ((-794 . -388) 133908) ((-711 . -738) T) ((-711 . -806) T) ((-711 . -803) T) ((-593 . -1057) 133895) ((-530 . -1057) 133872) ((-60 . -57) 133834) ((-334 . -132) T) ((-326 . -1068) 133724) ((-323 . -1068) T) ((-171 . -1131) T) ((-792 . -388) 133708) ((-45 . -152) 133658) ((-1023 . -1011) 133640) ((-466 . -388) 133624) ((-419 . -174) T) ((-326 . -248) 133603) ((-323 . -248) T) ((-323 . -238) NIL) ((-304 . -1119) 133385) ((-227 . -132) T) ((-1139 . -111) 133370) ((-171 . -23) T) ((-811 . -148) 133349) ((-811 . -146) 133328) ((-258 . -651) 133234) ((-257 . -651) 133140) ((-329 . -294) 133106) ((-1176 . -526) 133039) ((-489 . -658) 132989) ((-494 . -909) 132856) ((-1152 . -1119) T) ((-227 . -1079) T) ((-827 . -319) 132794) ((-1106 . -915) 132729) ((-794 . -915) 132672) ((-792 . -915) 132656) ((-1309 . -38) 132626) ((-1307 . -38) 132596) ((-1260 . -1131) T) ((-867 . -1131) T) ((-466 . -915) 132573) ((-870 . -1119) T) ((-1260 . -23) T) ((-1139 . -628) 132545) ((-1081 . -132) T) ((-583 . -1131) T) ((-867 . -23) T) ((-635 . -738) T) ((-366 . -937) T) ((-363 . -937) T) ((-299 . -102) T) ((-355 . -937) T) ((-989 . -1102) T) ((-969 . -132) T) ((-828 . -234) 132490) ((-118 . -806) NIL) ((-118 . -803) NIL) ((-118 . -738) T) ((-1065 . -526) 132391) ((-706 . -926) NIL) ((-583 . -23) T) ((-493 . -132) T) ((-430 . -237) 132342) ((-687 . -319) 132280) ((-647 . -773) T) ((-619 . -773) T) ((-1251 . -862) NIL) 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-407) T) ((-1179 . -102) T) ((-883 . -132) T) ((-496 . -102) 130985) ((-1316 . -379) T) ((-1099 . -102) T) ((-1080 . -102) T) ((-362 . -729) 130930) ((-743 . -148) 130909) ((-743 . -146) 130888) ((-666 . -628) 130806) ((-1043 . -660) 130743) ((-535 . -1119) 130721) ((-370 . -102) T) ((-364 . -102) T) ((-356 . -102) T) ((-108 . -102) T) ((-516 . -1119) T) ((-365 . -660) 130666) ((-1192 . -651) 130614) ((-1144 . -651) 130562) ((-396 . -521) 130541) ((-845 . -860) 130520) ((-390 . -1241) T) ((-706 . -738) T) ((-1251 . -1011) 130472) ((-350 . -1077) T) ((-112 . -1237) T) ((-176 . -1077) T) ((-103 . -625) 130404) ((-1194 . -146) 130383) ((-1194 . -148) 130362) ((-390 . -568) T) ((-1193 . -148) 130341) ((-1193 . -146) 130320) ((-1187 . -146) 130227) ((-419 . -300) T) ((-1187 . -148) 130134) ((-1145 . -148) 130113) ((-1145 . -146) 130092) ((-329 . -38) 129933) ((-171 . -132) T) ((-323 . -807) NIL) ((-323 . -804) NIL) ((-666 . -1068) T) ((-48 . -660) 129883) ((-1132 . -1070) 129784) ((-906 . -628) 129761) ((-1132 . -652) 129683) ((-1186 . -102) T) ((-1013 . -102) T) ((-1012 . -21) T) ((-128 . -1029) 129667) ((-122 . -1029) 129651) ((-1012 . -25) T) ((-918 . -120) 129635) ((-1178 . -102) T) ((-1260 . -132) T) ((-1192 . -25) T) ((-354 . -1237) T) ((-1192 . -21) T) ((-867 . -132) T) ((-1144 . -25) T) ((-1144 . -21) T) ((-866 . -25) T) ((-866 . -21) T) ((-794 . -317) 129614) ((-1179 . -319) 129409) ((-1176 . -501) 129393) ((-1169 . -152) 129343) ((-659 . -102) 129321) ((-644 . -102) T) ((-1165 . -625) 129283) ((-583 . -132) T) ((-633 . -860) 129262) ((-1165 . -626) 129223) ((-1043 . -803) T) ((-1043 . -806) T) ((-1043 . -738) T) ((-827 . -917) 129092) ((-724 . -1075) 128915) ((-496 . -319) 128853) ((-465 . -429) 128823) ((-362 . -174) T) ((-299 . -38) 128810) ((-258 . -234) 128701) ((-257 . -234) 128592) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-279 . -102) T) ((-278 . -102) T) ((-354 . -1057) 128569) ((-277 . -102) T) ((-214 . -102) T) ((-213 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-208 . -102) T) ((-205 . -102) T) ((-204 . -102) T) ((-203 . -102) T) ((-202 . -102) T) ((-201 . -102) T) ((-200 . -102) T) ((-199 . -102) T) ((-198 . -102) T) ((-197 . -102) T) ((-196 . -102) T) ((-195 . -102) T) ((-724 . -111) 128378) ((-365 . -738) T) ((-682 . -272) 128362) ((-682 . -232) 128346) ((-593 . -317) T) ((-530 . -317) T) ((-304 . -526) 128295) ((-108 . -319) NIL) ((-72 . -407) T) ((-1132 . -102) 128047) ((-845 . -423) 128031) ((-1139 . -807) T) ((-1139 . -804) T) ((-713 . -1119) T) ((-590 . -625) 128013) ((-390 . -374) T) ((-171 . -505) 127991) ((-224 . -625) 127923) ((-135 . -1119) T) ((-117 . -1119) T) ((-983 . -1237) T) ((-48 . -738) T) ((-1065 . -501) 127888) ((-142 . -437) 127870) ((-142 . -379) T) ((-1046 . -102) T) ((-524 . -521) 127849) ((-724 . -628) 127605) ((-1194 . -237) 127564) ((-488 . -102) T) ((-475 . -102) T) ((-1193 . -237) 127516) ((-1187 . -237) 127339) ((-1053 . -1131) T) ((-329 . -917) 127245) ((-1244 . -625) 127227) ((-1201 . -1057) 127163) ((-1194 . -35) 127129) ((-1194 . -95) 127095) ((-1194 . -1225) 127061) ((-1194 . -1222) 127027) ((-1193 . -1222) 126993) ((-1193 . -1225) 126959) ((-1178 . -319) NIL) ((-89 . -408) T) ((-89 . -407) T) ((-1099 . -1171) 126938) ((-40 . -1237) T) ((-1193 . -95) 126904) ((-1053 . -23) T) ((-1193 . -35) 126870) ((-583 . -505) T) ((-1187 . -1222) 126836) ((-1187 . -1225) 126802) ((-1187 . -95) 126768) ((-1187 . -35) 126734) ((-372 . -1131) T) ((-370 . -1171) 126713) ((-364 . -1171) 126692) ((-356 . -1171) 126671) ((-1123 . -296) 126627) ((-1145 . -35) 126593) ((-1145 . -95) 126559) ((-108 . -1171) T) ((-1145 . -1225) 126525) ((-845 . -1077) 126504) ((-659 . -319) 126442) ((-644 . -319) 126293) ((-1145 . -1222) 126259) ((-724 . -1068) T) ((-1081 . -651) 126241) ((-1099 . -38) 126109) ((-969 . -651) 126057) ((-1023 . -148) T) ((-1023 . -146) NIL) ((-390 . -1131) T) ((-334 . -25) T) ((-332 . -23) T) ((-960 . -862) 126036) ((-724 . -336) 126013) ((-493 . -651) 125961) ((-40 . -1057) 125849) ((-724 . -238) T) ((-713 . -729) 125836) ((-350 . -1119) T) ((-176 . -1119) T) ((-341 . -862) T) ((-430 . -464) 125786) ((-390 . -23) T) ((-370 . -38) 125751) ((-364 . -38) 125716) ((-356 . -38) 125681) ((-80 . -453) T) ((-80 . -407) T) ((-227 . -25) T) ((-227 . -21) T) ((-848 . -1131) T) ((-108 . -38) 125631) ((-839 . -1131) T) ((-786 . -1119) T) ((-117 . -729) 125618) ((-684 . -1057) 125602) ((-624 . -102) T) ((-848 . -23) T) ((-839 . -23) T) ((-1176 . -296) 125554) ((-1132 . -319) 125492) ((-494 . -1070) 125393) ((-1121 . -240) 125377) ((-64 . -408) T) ((-64 . -407) T) ((-1170 . -102) T) ((-110 . -102) T) ((-494 . -652) 125299) ((-40 . -388) 125276) ((-96 . -102) T) ((-665 . -864) 125260) ((-1192 . -234) 125247) ((-1154 . -1102) T) ((-1081 . -21) T) ((-1081 . -25) T) ((-1073 . -1070) 125231) ((-827 . -272) 125200) ((-827 . -232) 125169) ((-969 . -25) T) ((-969 . -21) T) ((-1073 . -652) 125111) ((-633 . -1077) T) ((-1139 . -379) T) ((-1046 . -319) 125049) ((-682 . -658) 125008) ((-493 . -25) T) ((-493 . -21) T) ((-396 . -1070) 124992) ((-902 . -625) 124974) ((-898 . -625) 124956) ((-535 . -526) 124889) ((-258 . -862) 124840) ((-257 . -862) 124791) ((-396 . -652) 124761) ((-883 . -651) 124738) ((-488 . -319) 124676) ((-475 . -319) 124614) ((-362 . -300) T) ((-1176 . -1275) 124598) ((-1161 . -625) 124560) ((-1161 . -626) 124521) ((-1159 . -102) T) ((-1018 . -1075) 124417) ((-40 . -915) 124369) ((-1176 . -616) 124346) ((-1316 . -660) 124333) ((-1082 . -152) 124279) ((-499 . -909) NIL) ((-878 . -502) 124256) ((-1018 . -111) 124138) ((-884 . -1241) T) ((-219 . -909) NIL) ((-350 . -729) 124122) ((-878 . -625) 124084) ((-176 . -729) 124016) ((-884 . -568) T) ((-419 . -296) 123974) ((-245 . -237) 123871) ((-108 . -412) 123853) ((-84 . -395) T) ((-84 . -407) T) ((-713 . -174) T) ((-629 . -625) 123835) ((-99 . -738) T) ((-494 . -102) 123587) ((-99 . -485) T) ((-117 . -174) T) ((-1309 . -658) 123546) ((-1307 . -658) 123505) ((-171 . -651) 123453) ((-1099 . -917) 123324) ((-1073 . -102) T) ((-1018 . -628) 123214) ((-883 . -25) T) ((-827 . -243) 123193) ((-883 . -21) T) ((-830 . -102) T) ((-44 . -658) 123136) ((-1023 . -237) T) ((-426 . -102) T) ((-396 . -102) T) ((-110 . -319) NIL) ((-229 . -102) 123114) ((-128 . -1237) T) ((-122 . -1237) T) ((-108 . -917) NIL) ((-829 . -1070) 123065) ((-829 . -652) 123007) ((-1053 . -132) T) ((-682 . -378) 122991) ((-153 . -658) 122950) ((-647 . -296) 122908) ((-619 . -296) 122866) ((-1316 . -738) T) ((-1018 . -1068) T) ((-1260 . -651) 122814) ((-1123 . -625) 122796) ((-1022 . -625) 122778) ((-576 . -1237) T) ((-507 . -1237) T) ((-527 . -23) T) ((-522 . -23) T) ((-354 . -317) T) ((-520 . -23) T) ((-332 . -132) T) ((-3 . -1119) T) ((-1022 . -626) 122762) ((-1018 . -248) 122741) ((-1018 . -238) 122720) ((-1279 . -146) 122699) ((-1279 . -148) 122678) ((-845 . -1119) T) ((-1272 . -148) 122657) ((-1272 . -146) 122636) ((-1271 . -1241) 122615) ((-1251 . -146) 122522) ((-1251 . -148) 122429) ((-1250 . -1241) 122408) ((-390 . -132) T) ((-227 . -234) 122395) ((-576 . -899) 122377) ((0 . -1119) T) ((-176 . -174) T) ((-171 . -21) T) ((-171 . -25) T) ((-49 . -1119) T) ((-1273 . -660) 122282) ((-1271 . -568) 122233) ((-726 . -1131) T) ((-1250 . -568) 122184) ((-576 . -1057) 122166) ((-607 . -148) 122145) ((-607 . -146) 122124) ((-507 . -1057) 122067) ((-1154 . -1156) T) ((-87 . -395) T) ((-87 . -407) T) ((-884 . -374) T) ((-848 . -132) T) ((-839 . -132) T) ((-981 . -658) 122011) ((-726 . -23) T) ((-518 . -625) 121977) ((-514 . -625) 121959) ((-827 . -658) 121738) ((-1311 . -1077) T) ((-390 . -1079) T) ((-1045 . -1119) 121716) ((-55 . -1057) 121698) ((-918 . -34) T) ((-494 . -319) 121636) ((-604 . -102) T) ((-1176 . -626) 121597) ((-1176 . -625) 121529) ((-1198 . -1070) 121412) ((-45 . -102) T) ((-829 . -102) T) ((-1198 . -652) 121309) ((-1260 . -25) T) ((-1260 . -21) T) ((-1081 . -234) 121296) ((-867 . -25) T) ((-44 . -378) 121280) ((-867 . -21) T) ((-743 . -464) 121231) ((-1310 . -625) 121213) ((-1299 . -1070) 121183) ((-1073 . -319) 121121) ((-683 . -1102) T) ((-618 . -1102) T) ((-402 . -1119) T) ((-583 . -25) T) ((-583 . -21) T) ((-182 . -1102) T) ((-162 . -1102) T) ((-157 . -1102) T) ((-155 . -1102) T) ((-1299 . -652) 121091) ((-633 . -1119) T) ((-711 . -899) 121073) ((-1287 . -1237) T) ((-229 . -319) 121011) ((-145 . -379) T) ((-1065 . -626) 120953) ((-1065 . -625) 120896) ((-323 . -926) NIL) ((-1245 . -856) T) ((-1132 . -917) 120765) ((-711 . -1057) 120710) ((-723 . -937) T) ((-486 . -1241) 120689) ((-1193 . -464) 120668) ((-1187 . -464) 120647) ((-340 . -102) T) ((-884 . -1131) T) ((-329 . -658) 120529) ((-326 . -660) 120258) ((-323 . -660) 120187) ((-486 . -568) 120138) ((-350 . -526) 120104) ((-562 . -152) 120054) ((-40 . -317) T) ((-855 . -625) 120036) ((-713 . -300) T) ((-884 . -23) T) ((-390 . -505) T) ((-1099 . -272) 120006) ((-1099 . -232) 119976) ((-524 . -102) T) ((-419 . -626) 119783) ((-419 . -625) 119765) 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. -1119) T) ((-392 . -1119) T) ((-1260 . -234) 117552) ((-1236 . -1119) T) ((-82 . -1237) T) ((-1132 . -272) 117521) ((-1081 . -862) T) ((-118 . -915) NIL) ((-794 . -937) 117500) ((-725 . -862) T) ((-543 . -1119) T) ((-512 . -1119) T) ((-366 . -1241) T) ((-363 . -1241) T) ((-355 . -1241) T) ((-273 . -1241) 117479) ((-253 . -1241) 117458) ((-545 . -872) T) ((-1132 . -232) 117427) ((-1178 . -840) T) ((-1161 . -1075) 117411) ((-402 . -773) T) ((-706 . -1237) T) ((-703 . -1057) 117395) ((-366 . -568) T) ((-363 . -568) T) ((-355 . -568) T) ((-273 . -568) 117326) ((-253 . -568) 117257) ((-537 . -1102) T) ((-1161 . -111) 117236) ((-465 . -756) 117206) ((-878 . -1075) 117176) ((-829 . -38) 117118) ((-706 . -897) 117100) ((-706 . -899) 117082) ((-305 . -319) 116886) ((-1176 . -298) 116863) ((-927 . -1241) T) ((-1099 . -658) 116758) ((-1023 . -464) T) ((-682 . -423) 116742) ((-878 . -111) 116707) ((-931 . -464) T) ((-706 . -1057) 116652) ((-927 . -568) T) ((-545 . -625) 116634) ((-593 . -937) T) 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109633) ((-1192 . -237) T) ((-227 . -148) T) ((-176 . -625) 109615) ((-786 . -625) 109597) ((-129 . -862) T) ((-620 . -240) 109544) ((-487 . -240) 109494) ((-1309 . -729) 109464) ((-48 . -317) T) ((-1307 . -729) 109434) ((-65 . -628) 109363) ((-981 . -1119) T) ((-827 . -1119) 109115) ((-322 . -102) T) ((-918 . -1237) T) ((-48 . -1041) T) ((-1250 . -651) 109023) ((-701 . -102) 109001) ((-44 . -729) 108985) ((-562 . -102) T) ((-304 . -628) 108916) ((-67 . -394) T) ((-499 . -917) NIL) ((-67 . -407) T) ((-219 . -917) NIL) ((-674 . -23) T) ((-829 . -658) 108852) ((-682 . -773) T) ((-1234 . -1119) 108830) ((-362 . -1075) 108775) ((-687 . -1119) 108753) ((-1081 . -148) T) ((-969 . -148) 108732) ((-969 . -146) 108711) ((-811 . -102) T) ((-153 . -729) 108695) ((-493 . -148) 108674) ((-493 . -146) 108653) ((-362 . -111) 108582) ((-1099 . -1077) T) ((-332 . -862) 108561) ((-1279 . -992) 108530) ((-639 . -1119) T) ((-1272 . -992) 108492) ((-523 . -132) T) ((-519 . -132) T) ((-305 . -231) 108442) ((-370 . -1077) T) ((-364 . -1077) T) ((-356 . -1077) T) ((-304 . -1068) 108384) ((-1251 . -992) 108353) ((-390 . -862) T) ((-108 . -1077) T) ((-1018 . -738) T) ((-882 . -937) T) ((-855 . -807) 108332) ((-855 . -804) 108311) ((-430 . -319) 108250) ((-480 . -102) T) ((-607 . -992) 108219) ((-329 . -1119) T) ((-419 . -807) 108198) ((-419 . -804) 108177) ((-512 . -501) 108159) ((-1273 . -1057) 108125) ((-1271 . -21) T) ((-1271 . -25) T) ((-1250 . -21) T) ((-1250 . -25) T) ((-827 . -729) 108067) ((-362 . -628) 107997) ((-711 . -416) T) ((-1300 . -1237) T) ((-1132 . -423) 107966) ((-618 . -102) T) ((-1096 . -1237) T) ((-1022 . -379) NIL) ((-683 . -102) T) ((-182 . -102) T) ((-162 . -102) T) ((-157 . -102) T) ((-155 . -102) T) ((-103 . -34) T) ((-1198 . -658) 107876) ((-749 . -1237) T) ((-743 . -1070) 107719) ((-44 . -773) T) ((-743 . -652) 107568) ((-605 . -102) T) ((-665 . -668) 107552) ((-77 . -408) T) ((-77 . -407) T) ((-142 . -1237) T) ((-883 . -148) T) ((-883 . -146) NIL) ((-1299 . -658) 107497) ((-1279 . -909) 107385) ((-1236 . -93) T) ((-362 . -1068) T) ((-227 . -237) T) ((-70 . -394) T) ((-70 . -407) T) ((-1185 . -102) T) ((-682 . -526) 107318) ((-1272 . -909) 107199) ((-1251 . -909) 106935) ((-701 . -319) 106873) ((-980 . -38) 106770) ((-1200 . -625) 106752) ((-747 . -38) 106722) ((-562 . -319) 106526) ((-1194 . -1070) 106409) ((-326 . -1237) T) ((-362 . -238) T) ((-362 . -248) T) ((-323 . -1237) T) ((-299 . -1119) T) ((-1193 . -1070) 106244) ((-1187 . -1070) 106034) ((-1145 . -1070) 105917) ((-1194 . -652) 105814) ((-1193 . -652) 105655) ((-723 . -1241) T) ((-1187 . -652) 105451) ((-1176 . -663) 105435) ((-1145 . -652) 105332) ((-1231 . -568) 105311) ((-831 . -397) 105295) ((-723 . -568) T) ((-607 . -909) 105206) ((-326 . -897) 105190) ((-326 . -899) 105115) ((-137 . -1237) T) ((-323 . -897) 105076) ((-323 . -899) NIL) ((-811 . -319) 105041) ((-329 . -729) 104882) ((-398 . -397) 104866) ((-334 . -333) 104843) ((-497 . -102) T) ((-486 . -25) T) ((-486 . -21) 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-1241) 101466) ((-62 . -1237) T) ((-489 . -625) 101418) ((-489 . -626) 101340) ((-794 . -568) 101251) ((-792 . -568) 101182) ((-743 . -319) 101169) ((-713 . -628) 101141) ((-494 . -423) 101110) ((-635 . -937) 101089) ((-466 . -1241) 101068) ((-687 . -526) 101001) ((-676 . -25) T) ((-410 . -625) 100983) ((-676 . -21) T) ((-466 . -568) 100914) ((-430 . -917) 100837) ((-366 . -25) T) ((-366 . -21) T) ((-363 . -25) T) ((-118 . -937) T) ((-118 . -832) NIL) ((-363 . -21) T) ((-355 . -25) T) ((-355 . -21) T) ((-273 . -25) T) ((-273 . -21) T) ((-253 . -25) T) ((-253 . -21) T) ((-171 . -237) 100768) ((-83 . -395) T) ((-83 . -407) T) ((-135 . -628) 100750) ((-117 . -628) 100722) ((-1023 . -652) 100672) ((-960 . -999) 100656) ((-931 . -652) 100608) ((-931 . -1070) 100560) ((-927 . -21) T) ((-927 . -25) T) ((-884 . -862) 100511) ((-878 . -660) 100471) ((-723 . -1131) T) ((-723 . -23) T) ((-713 . -1068) T) ((-713 . -238) T) ((-299 . -174) T) ((-666 . -1237) T) ((-321 . -93) T) ((-659 . -1119) 100449) ((-644 . -622) 100424) ((-644 . -1119) T) ((-593 . -1241) T) ((-593 . -568) T) ((-530 . -1241) T) ((-530 . -568) T) ((-499 . -658) 100374) ((-486 . -234) 100320) ((-439 . -1070) 100304) ((-439 . -652) 100288) ((-370 . -729) 100240) ((-364 . -729) 100192) ((-350 . -1075) 100176) ((-356 . -729) 100128) ((-350 . -111) 100107) ((-176 . -1075) 100039) ((-219 . -658) 99989) ((-176 . -111) 99900) ((-108 . -729) 99850) ((-283 . -1119) T) ((-282 . -1119) T) ((-281 . -1119) T) ((-280 . -1119) T) ((-279 . -1119) T) ((-278 . -1119) T) ((-277 . -1119) T) ((-214 . -1119) T) ((-213 . -1119) T) ((-171 . -1225) 99828) ((-171 . -1222) 99806) ((-211 . -1119) T) ((-210 . -1119) T) ((-117 . -1068) T) ((-209 . -1119) T) ((-208 . -1119) T) ((-205 . -1119) T) ((-204 . -1119) T) ((-203 . -1119) T) ((-202 . -1119) T) ((-201 . -1119) T) ((-200 . -1119) T) ((-199 . -1119) T) ((-198 . -1119) T) ((-197 . -1119) T) ((-196 . -1119) T) ((-195 . -1119) T) ((-245 . -102) 99558) ((-171 . -35) 99536) ((-171 . -95) 99514) ((-666 . -1057) 99410) ((-494 . -1077) 99388) ((-1132 . -1119) 99140) ((-1161 . -34) T) ((-682 . -501) 99124) ((-73 . -1237) T) ((-105 . -625) 99106) ((-1311 . -625) 99088) ((-392 . -625) 99070) ((-350 . -628) 99022) ((-176 . -628) 98939) ((-1236 . -502) 98920) ((-743 . -38) 98769) ((-583 . -1225) T) ((-583 . -1222) T) ((-543 . -625) 98751) ((-532 . -319) 98689) ((-512 . -625) 98671) ((-512 . -626) 98653) ((-1236 . -625) 98619) ((-1187 . -1171) NIL) ((-1046 . -1090) 98588) ((-1046 . -1119) T) ((-1023 . -102) T) ((-990 . -102) T) ((-931 . -102) T) ((-906 . -1057) 98565) ((-1161 . -738) T) ((-1022 . -660) 98472) ((-488 . -1119) T) ((-475 . -1119) T) ((-598 . -23) T) ((-583 . -35) T) ((-583 . -95) T) ((-439 . -102) T) ((-1082 . -231) 98418) ((-1194 . -38) 98315) ((-878 . -738) T) ((-706 . -937) T) ((-523 . -25) T) ((-519 . -21) T) ((-519 . -25) T) ((-1193 . -38) 98156) ((-350 . -1068) T) ((-1187 . -38) 97952) ((-1099 . -174) T) ((-176 . -1068) T) ((-1145 . -38) 97849) ((-724 . -47) 97826) ((-370 . -174) T) ((-364 . -174) T) ((-531 . -57) 97800) ((-509 . -57) 97750) ((-362 . -1306) 97727) ((-227 . -464) T) ((-329 . -300) 97678) ((-356 . -174) T) ((-176 . -248) T) ((-1250 . -862) 97577) ((-108 . -174) T) ((-884 . -1011) 97561) ((-670 . -1131) T) ((-593 . -374) T) ((-593 . -339) 97548) ((-530 . -339) 97525) ((-530 . -374) T) ((-326 . -317) 97504) ((-323 . -317) T) ((-614 . -862) 97483) ((-1132 . -729) 97425) ((-532 . -292) 97409) ((-670 . -23) T) ((-430 . -232) 97393) ((-430 . -272) 97377) ((-323 . -1041) NIL) ((-347 . -23) T) ((-103 . -1029) 97361) ((-45 . -36) 97340) ((-624 . -1119) T) ((-362 . -379) T) ((-536 . -102) T) ((-507 . -27) T) ((-245 . -319) 97278) ((-1106 . -1131) T) ((-1310 . -660) 97252) ((-794 . -1131) T) ((-792 . -1131) T) ((-1198 . -423) 97236) ((-466 . -1131) T) ((-1081 . -464) T) ((-1170 . -1119) T) ((-969 . -464) 97187) ((-1134 . -1102) T) ((-110 . -1119) T) ((-1106 . -23) T) ((-1179 . -526) 96970) ((-829 . -1077) T) ((-794 . -23) T) ((-792 . -23) T) ((-493 . -464) 96921) ((-473 . -23) T) ((-392 . -393) 96900) ((-366 . -234) 96873) ((-363 . -234) 96846) ((-355 . -234) 96819) ((-466 . -23) T) ((-273 . -234) 96764) ((-258 . -909) 96631) ((-257 . -909) 96498) ((-96 . -1119) T) ((-724 . -1237) T) ((-682 . -296) 96475) ((-496 . -526) 96408) ((-1279 . -1070) 96291) ((-1279 . -652) 96188) ((-1272 . -652) 96029) ((-1272 . -1070) 95864) ((-1251 . -652) 95660) ((-299 . -300) T) ((-1251 . -1070) 95450) ((-1101 . -625) 95432) ((-1101 . -626) 95413) ((-419 . -926) 95392) ((-1231 . -132) T) ((-50 . -1131) T) ((-1187 . -412) 95344) ((-1043 . -937) T) ((-1022 . -738) T) ((-855 . -660) 95317) ((-724 . -899) NIL) ((-608 . -1070) 95277) ((-593 . -1131) T) ((-530 . -1131) T) ((-607 . -1070) 95160) ((-1176 . -34) T) ((-1023 . -319) NIL) ((-827 . -501) 95144) ((-608 . -652) 95117) ((-365 . -937) T) ((-607 . -652) 95014) ((-927 . -234) 95001) ((-419 . -660) 94917) ((-50 . -23) T) ((-723 . -132) T) ((-724 . -1057) 94797) ((-593 . -23) T) ((-108 . -526) NIL) ((-530 . -23) T) ((-171 . -421) 94768) ((-1159 . -1119) T) ((-1302 . -1301) 94752) ((-743 . -917) 94729) ((-713 . -807) T) ((-713 . -804) T) ((-1139 . -317) T) ((-390 . -148) T) ((-290 . -625) 94711) ((-289 . -625) 94693) ((-1250 . -1011) 94663) ((-48 . -937) T) ((-687 . -501) 94647) ((-258 . -1294) 94617) ((-257 . -1294) 94587) ((-1107 . -237) T) ((-1196 . -862) T) ((-1139 . -1041) T) ((-1065 . -34) T) ((-848 . -148) 94566) ((-848 . -146) 94545) ((-749 . -107) 94529) ((-624 . -133) T) ((-1198 . -1077) T) ((-494 . -1119) 94281) ((-1194 . -917) 94194) ((-1193 . -917) 94100) ((-1187 . -917) 93861) ((-883 . -464) T) ((-85 . -1237) T) ((-142 . -107) 93843) ((-1145 . -917) 93827) ((-724 . -388) 93811) ((-845 . -628) 93679) ((-1310 . -738) T) ((-1299 . -1077) T) ((-1279 . -102) T) ((-1139 . -557) T) ((-591 . -102) T) ((-130 . -502) 93661) ((-1272 . -102) T) ((-402 . -1075) 93645) ((-1192 . -966) 93614) ((-44 . -296) 93591) ((-130 . -625) 93558) ((-52 . -625) 93540) ((-1144 . -966) 93507) ((-665 . -423) 93491) ((-1251 . -102) T) ((-1178 . -526) NIL) ((-674 . -25) T) ((-633 . -1075) 93475) ((-674 . -21) T) ((-980 . -658) 93385) ((-747 . -658) 93330) ((-727 . -658) 93302) ((-402 . -111) 93281) ((-224 . -261) 93265) ((-1073 . -1072) 93205) ((-1073 . -1119) T) ((-1023 . -1171) T) ((-830 . -1119) T) ((-465 . -658) 93120) ((-647 . -660) 93104) ((-354 . -1241) T) ((-633 . -111) 93083) ((-619 . -660) 93067) ((-608 . -102) T) ((-321 . -502) 93048) ((-598 . -132) T) ((-607 . -102) T) ((-426 . -1119) T) ((-396 . -1119) T) ((-321 . -625) 93014) ((-229 . -1119) 92992) ((-659 . -526) 92925) ((-644 . -526) 92769) ((-845 . -1068) 92748) ((-656 . -152) 92732) ((-354 . -568) T) ((-724 . -915) 92675) ((-562 . -231) 92625) ((-1279 . -294) 92591) ((-1272 . -294) 92557) ((-1099 . -300) 92508) ((-499 . -860) T) ((-225 . -1131) T) ((-1251 . -294) 92474) ((-1231 . -505) 92440) ((-1023 . -38) 92390) ((-219 . -860) T) ((-430 . -658) 92349) ((-931 . -38) 92301) ((-855 . -806) 92280) ((-855 . -803) 92259) ((-855 . -738) 92238) ((-370 . -300) T) ((-364 . -300) T) ((-356 . -300) T) ((-171 . -464) 92169) ((-439 . -38) 92153) ((-225 . -23) T) ((-108 . -300) T) ((-419 . -806) 92132) ((-419 . -803) 92111) ((-419 . -738) T) ((-512 . -298) 92086) ((-489 . -1075) 92051) ((-670 . -132) T) ((-633 . -628) 92020) ((-1132 . -526) 91953) ((-347 . -132) T) ((-171 . -414) 91932) ((-494 . -729) 91874) ((-827 . -296) 91851) ((-489 . -111) 91807) ((-665 . -1077) T) ((-1192 . -909) 91710) ((-1144 . -909) 91692) ((-828 . -1070) 91535) ((-1298 . -1102) T) ((-1260 . -464) 91466) ((-828 . -652) 91315) ((-1297 . -1102) T) ((-1106 . -132) T) ((-1073 . -729) 91257) ((-1046 . -526) 91190) ((-794 . -132) T) ((-792 . -132) T) ((-583 . -464) T) ((-633 . -1068) T) ((-604 . -1119) T) ((-545 . -175) T) ((-473 . -132) T) ((-466 . -132) T) ((-390 . -237) T) ((-1018 . -1237) T) ((-45 . -1119) T) ((-396 . -729) 91160) ((-829 . -1119) T) ((-488 . -526) 91093) ((-475 . -526) 91026) ((-1312 . -628) 91008) ((-465 . -378) 90978) ((-45 . -622) 90957) ((-411 . -1237) T) ((-326 . -312) T) ((-839 . -237) 90936) ((-489 . -628) 90886) ((-1251 . -319) 90771) ((-682 . -625) 90733) ((-59 . -862) 90712) ((-1023 . -412) 90694) ((-560 . -625) 90676) ((-811 . -658) 90635) ((-827 . -616) 90612) ((-528 . -862) 90591) ((-508 . -862) 90570) ((-1018 . -1057) 90466) ((-40 . -1241) T) ((-245 . -917) 90335) ((-50 . -132) T) ((-593 . -132) T) ((-530 . -132) T) ((-304 . -660) 90195) ((-354 . -339) 90172) ((-354 . -374) T) ((-332 . -333) 90149) ((-329 . -296) 90107) ((-40 . -568) T) ((-390 . -1222) T) ((-390 . -1225) T) ((-1054 . -1213) 90082) ((-1209 . -240) 90032) ((-1187 . -232) 89984) ((-1187 . -272) 89936) ((-340 . -1119) T) ((-390 . -95) T) ((-390 . -35) T) ((-1054 . -107) 89882) ((-489 . -1068) T) ((-1311 . -1075) 89866) ((-491 . -240) 89816) ((-1179 . -501) 89750) ((-1302 . -1070) 89734) ((-392 . -1075) 89718) ((-1302 . -652) 89688) ((-489 . -248) T) ((-828 . -102) T) ((-726 . -148) 89667) ((-726 . -146) 89646) 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((-1250 . -148) 85424) ((-1302 . -1308) 85403) ((-883 . -909) NIL) ((-488 . -501) 85387) ((-475 . -501) 85371) ((-535 . -34) T) ((-665 . -729) 85341) ((-1279 . -917) 85254) ((-1272 . -917) 85160) ((-1251 . -917) 84921) ((-112 . -986) T) ((-1198 . -174) 84872) ((-674 . -862) 84851) ((-376 . -102) T) ((-607 . -917) 84764) ((-245 . -243) 84743) ((-258 . -102) T) ((-257 . -102) T) ((-1260 . -966) 84712) ((-250 . -862) 84691) ((-828 . -38) 84540) ((-45 . -526) 84332) ((-1178 . -296) 84282) ((-216 . -1119) T) ((-1169 . -1119) T) ((-884 . -237) 84233) ((-1169 . -622) 84212) ((-598 . -25) T) ((-598 . -21) T) ((-1121 . -319) 84150) ((-980 . -423) 84134) ((-711 . -1241) T) ((-644 . -296) 84087) ((-1106 . -651) 84035) ((-922 . -1119) T) ((-794 . -651) 83983) ((-792 . -651) 83931) ((-354 . -132) T) ((-299 . -625) 83913) ((-882 . -1131) T) ((-711 . -568) T) ((-130 . -628) 83895) ((-466 . -651) 83843) ((-171 . -909) 83764) ((-922 . -920) 83748) ((-390 . -464) T) ((-499 . -1119) T) ((-960 . -319) 83686) ((-713 . -660) 83658) ((-561 . -856) T) ((-219 . -1119) T) ((-326 . -937) 83637) ((-323 . -937) T) ((-323 . -832) NIL) ((-402 . -732) T) ((-882 . -23) T) ((-117 . -660) 83624) ((-486 . -146) 83603) ((-430 . -423) 83587) ((-486 . -148) 83566) ((-110 . -501) 83548) ((-321 . -628) 83529) ((-2 . -625) 83511) ((-188 . -102) T) ((-1178 . -19) 83493) ((-1178 . -616) 83468) ((-670 . -21) T) ((-670 . -25) T) ((-605 . -1163) T) ((-1132 . -296) 83445) ((-347 . -25) T) ((-347 . -21) T) ((-245 . -658) 83224) ((-507 . -374) T) ((-1309 . -1075) 83208) ((-1307 . -1075) 83192) ((-1302 . -38) 83162) ((-1271 . -1222) 83128) ((-1260 . -909) 83031) ((-1192 . -1070) 82854) ((-1161 . -1237) T) ((-1144 . -1070) 82697) ((-866 . -1070) 82681) ((-644 . -616) 82656) ((-1271 . -1225) 82622) ((-1271 . -95) 82588) ((-1271 . -237) 82540) ((-1192 . -652) 82369) ((-1144 . -652) 82218) ((-866 . -652) 82188) ((-1254 . -102) 82166) ((-1251 . -232) 82118) ((-561 . -1119) T) ((-1106 . -25) T) ((-1106 . -21) T) ((-543 . -804) T) ((-543 . -807) T) ((-118 . -1241) T) ((-980 . -1077) T) ((-635 . -568) T) ((-794 . -25) T) ((-794 . -21) T) ((-792 . -21) T) ((-792 . -25) T) ((-747 . -1077) T) ((-727 . -1077) T) ((-682 . -1075) 82102) ((-529 . -1102) T) ((-473 . -25) T) ((-118 . -568) T) ((-473 . -21) T) ((-466 . -25) T) ((-466 . -21) T) ((-1251 . -272) 82054) ((-1170 . -93) T) ((-1161 . -1057) 81950) ((-829 . -300) 81929) ((-1250 . -1222) 81895) ((-835 . -1119) T) ((-983 . -986) T) ((-682 . -111) 81874) ((-629 . -1237) T) ((-305 . -526) 81666) ((-1250 . -1225) 81632) ((-1250 . -237) 81491) ((-1245 . -379) T) ((-258 . -319) 81429) ((-257 . -319) 81367) ((-1242 . -856) T) ((-1179 . -626) NIL) ((-1179 . -625) 81349) ((-1161 . -388) 81333) ((-1139 . -832) T) ((-1139 . -937) T) ((-96 . -93) T) ((-1132 . -616) 81310) ((-1099 . -626) 81294) ((-1099 . -625) 81276) ((-1023 . -658) 81226) ((-931 . -658) 81163) ((-827 . -298) 81140) ((-496 . -625) 81072) ((-620 . -152) 81019) ((-499 . -729) 80969) ((-430 . -1077) T) 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. -111) 25114) ((-362 . -1241) T) ((-1279 . -1075) 24997) ((-1132 . -388) 24966) ((-1272 . -1075) 24801) ((-1251 . -1075) 24591) ((-1272 . -111) 24412) ((-1251 . -111) 24181) ((-1231 . -319) 24168) ((-1022 . -132) T) ((-927 . -658) 24118) ((-376 . -625) 24100) ((-362 . -568) T) ((-299 . -317) T) ((-608 . -1075) 24060) ((-607 . -1075) 23943) ((-593 . -1070) 23908) ((-530 . -1070) 23853) ((-372 . -1119) T) ((-332 . -1119) T) ((-258 . -625) 23814) ((-257 . -625) 23775) ((-593 . -652) 23740) ((-530 . -652) 23685) ((-706 . -421) 23652) ((-647 . -23) T) ((-619 . -23) T) ((-40 . -909) 23559) ((-670 . -102) T) ((-608 . -111) 23512) ((-607 . -111) 23381) ((-390 . -1119) T) ((-347 . -102) T) ((-171 . -300) 23292) ((-1250 . -860) 23245) ((-726 . -1077) T) ((-1166 . -526) 23178) ((-1210 . -847) 23162) ((-1132 . -915) 23094) ((-848 . -1119) T) ((-839 . -1119) T) ((-837 . -1119) T) ((-97 . -102) T) ((-145 . -862) T) ((-624 . -897) 23078) ((-110 . -1237) T) ((-1106 . -102) T) ((-1082 . -34) T) ((-794 . -102) T) ((-792 . -102) T) ((-1279 . -628) 22960) ((-1272 . -628) 22703) ((-473 . -102) T) ((-466 . -102) T) ((-1251 . -628) 22498) ((-245 . -807) 22477) ((-245 . -804) 22456) ((-661 . -102) T) ((-608 . -628) 22414) ((-607 . -628) 22296) ((-1260 . -300) 22207) ((-676 . -646) 22191) ((-188 . -625) 22173) ((-656 . -296) 22125) ((-1053 . -729) 22109) ((-583 . -300) T) ((-980 . -660) 22034) ((-1310 . -132) T) ((-747 . -660) 21994) ((-727 . -660) 21981) ((-284 . -102) T) ((-465 . -660) 21911) ((-50 . -102) T) ((-593 . -102) T) ((-530 . -102) T) ((-1279 . -1068) T) ((-1272 . -1068) T) ((-1251 . -1068) T) ((-519 . -658) 21893) ((-332 . -729) 21875) ((-1279 . -238) 21834) ((-1272 . -248) 21813) ((-1272 . -238) 21765) ((-1251 . -238) 21652) ((-1251 . -248) 21631) ((-1231 . -38) 21528) ((-608 . -1068) T) ((-607 . -1068) T) ((-1023 . -807) T) ((-1023 . -804) T) ((-990 . -807) T) ((-990 . -804) T) ((-884 . -1077) T) ((-109 . -625) 21510) ((-706 . -464) T) ((-390 . -729) 21475) ((-430 . -660) 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-319) 20212) ((-1092 . -1119) T) ((-229 . -1237) T) ((-1085 . -1119) T) ((-1055 . -1119) T) ((-1038 . -1119) T) ((-794 . -319) 20199) ((-792 . -319) 20186) ((-1192 . -625) 20168) ((-828 . -111) 19997) ((-1144 . -625) 19979) ((-638 . -1119) T) ((-589 . -175) T) ((-541 . -175) T) ((-466 . -319) 19966) ((-495 . -1119) T) ((-1144 . -626) 19714) ((-1053 . -174) T) ((-960 . -298) 19691) ((-220 . -1119) T) ((-866 . -625) 19673) ((-620 . -526) 19456) ((-81 . -628) 19397) ((-830 . -1057) 19381) ((-487 . -526) 19173) ((-980 . -738) T) ((-747 . -738) T) ((-727 . -738) T) ((-362 . -1131) T) ((-1199 . -625) 19155) ((-225 . -102) T) ((-494 . -388) 19124) ((-527 . -1119) T) ((-522 . -1119) T) ((-520 . -1119) T) ((-811 . -660) 19098) ((-1043 . -464) T) ((-975 . -526) 19031) ((-362 . -23) T) ((-647 . -132) T) ((-619 . -132) T) ((-365 . -464) T) ((-245 . -379) 19010) ((-390 . -174) T) ((-1271 . -1077) T) ((-1250 . -1077) T) ((-227 . -1021) T) ((-828 . -628) 18747) ((-711 . -399) T) ((-430 . -738) 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 bf9bc7a8..d0916d89 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3485863920) +(30 . 3485898198) (4465 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -488,665 +488,667 @@ |XPolynomial| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |distribute| |thenBranch| |createPrimitivePoly| - |nthRootIfCan| |arrayStack| |makeEq| |coercePreimagesImages| - |doubleDisc| |leastPower| |mainDefiningPolynomial| |ipow| - |commutative?| |set| |perfectSqrt| |hermiteH| |setMaxPoints| - |cRationalPower| |SturmHabichtSequence| |internalDecompose| - |findConstructor| |d02gbf| |bringDown| |d03edf| |edf2df| - |showAllElements| |matrixConcat3D| |setUnion| |physicalLength!| - |readUInt32!| |useSingleFactorBound| |addMatchRestricted| - |OMUnknownSymbol?| |findBinding| |encodingDirectory| |power| - |OMgetEndAtp| |deepCopy| |numberOfDivisors| |squareFreeLexTriangular| - |generic| |red| |iiacsc| |hdmpToP| |intChoose| |s17agf| |partition| - |scalarTypeOf| |cyclotomicDecomposition| |wrregime| |s18acf| |head| - |lists| |extendedResultant| |lazyPseudoDivide| |f01ref| |point?| - |unravel| |cyclePartition| |exists?| |compound?| |prinshINFO| - |mapSolve| |ffactor| |probablyZeroDim?| |nodeOf?| |quasiRegular?| - |checkForZero| |inHallBasis?| |signature| |infieldIntegrate| - |LyndonWordsList1| |functionIsContinuousAtEndPoints| |isList| |cAtan| - |c06gsf| |OMputFloat| |realSolve| |tableForDiscreteLogarithm| - |addPoint| |writeByte!| |torsionIfCan| |antisymmetric?| - |genericPosition| |nthRoot| |search| |leftPower| |scripted?| - |anticoord| |s17dcf| |listOfMonoms| |expr| |sumOfKthPowerDivisors| - |numericalOptimization| |elColumn2!| |viewWriteAvailable| |subCase?| - |zeroSetSplitIntoTriangularSystems| |strongGenerators| |mirror| - |makeResult| |outputForm| |birth| |topFortranOutputStack| |findCycle| - |linearlyDependentOverZ?| |sort!| |cAsech| |outputList| |hexDigit| - |antiAssociative?| |ptFunc| |clearDenominator| |setLength!| - |leftUnits| |extendedIntegrate| |OMgetAttr| |rubiksGroup| - |splitNodeOf!| |bitCoef| |rowEch| |show| |goto| |nextNormalPoly| - |mappingMode| |OMwrite| |complexIntegrate| |e01sff| |modTree| |index?| - |newReduc| |resultantReduit| |atoms| |numberOfChildren| |f04atf| - |variable| |cAcoth| |OMgetSymbol| |Beta| |btwFact| |chiSquare1| - |categoryMode| |trace| |wholePart| |rischNormalize| |thetaCoord| - |iterators| |printHeader| |increasePrecision| |root| |factorList| - |elements| |brillhartTrials| |nextColeman| |OMencodingUnknown| - |exteriorDifferential| |getlo| |complementaryBasis| |nthExpon| - |datalist| |jacobiIdentity?| |factorsOfCyclicGroupSize| - |inverseLaplace| |systemCommand| |iicos| |element?| |ran| |besselJ| - |char| |top!| |subst| |checkPrecision| |max| |exactQuotient!| |reify| - |ricDsolve| |nextsousResultant2| FG2F |horizConcat| |maxPoints3D| - |hconcat| |internalAugment| |bitior| |fortranLinkerArgs| |lquo| - |OMputInteger| |OMsupportsCD?| |isMult| |resetVariableOrder| - |anfactor| |pushdown| |isobaric?| |palgint| |pushuconst| - |makeViewport2D| |clearTheFTable| |roughUnitIdeal?| - |subresultantVector| |precision| |normal| |unitsColorDefault| |irVar| - |radicalEigenvector| |linearPart| |integralAtInfinity?| |fi2df| - |returnType!| |yellow| |integerIfCan| |tanintegrate| |bfEntry| |cond| - |groebnerFactorize| |perfectNthPower?| |concat| |enumerate| - |PollardSmallFactor| |OMUnknownCD?| |cAsec| |removeRedundantFactors| - |s14baf| |mkcomm| |sech| |setelt!| |hasoln| |orthonormalBasis| - |subResultantGcd| |voidMode| |zeroMatrix| |basisOfLeftNucleus| |nodes| - |printStatement| |rightOne| |csch| |operation| |laguerre| - |semiDegreeSubResultantEuclidean| |minrank| |baseRDE| |numberOfHues| - |objects| |rischDE| |float| |alphabetic| |fractRadix| |e02def| - |firstSubsetGray| |asinh| |bits| |bothWays| |resultantEuclidean| - |currentCategoryFrame| |base| |limitedint| |ddFact| |coordinate| - |baseRDEsys| |Lazard2| |acosh| |df2ef| |kovacic| |swapRows!| - |infiniteProduct| |cyclicCopy| |kind| |cyclotomicFactorization| - |selectSumOfSquaresRoutines| |fortranLiteral| |arg1| - |initializeGroupForWordProblem| |getGraph| |oddintegers| - |setCondition!| |atanh| |pointData| |in?| |bytes| |lowerCase| - |OMencodingXML| |certainlySubVariety?| |op| |besselK| |externalList| - |factors| |makeSeries| |asechIfCan| |arg2| |rowEchelon| |writeBytes!| - |acoth| |complexExpand| |invertibleSet| |ip4Address| |acoshIfCan| - |bindings| |makeTerm| |e02bef| |s17def| |doubleResultant| |lifting| - |asech| |numer| |semiResultantEuclidean2| |viewpoint| |elliptic| - |square?| |returns| |makeCos| |innerSolve| |c06fpf| |npcoef| |s21bcf| - |conditions| |stoseInvertible?sqfreg| |variables| |denom| - |symmetricGroup| |minColIndex| |setImagSteps| - |internalLastSubResultant| |rotatex| |extractBottom!| |Ei| |match| - |bat1| |options| |iFTable| |multiple| |predicates| |getVariableOrder| - |componentUpperBound| |extensionDegree| |leadingTerm| - |genericLeftTrace| |lookup| |sinhIfCan| |colorFunction| |applyQuote| - |selectODEIVPRoutines| |leftDiscriminant| |s13adf| |iidprod| - |stiffnessAndStabilityFactor| |pi| |tree| |rootsOf| |integralBasis| - |solveLinearPolynomialEquation| |cycleEntry| |sturmVariationsOf| - |ReduceOrder| |getButtonValue| |infinity| |KrullNumber| |factorials| - |union| |bumprow| |equiv| |viewPosDefault| |any| |isAtom| |f07fef| - |string| |genericRightTrace| |less?| |computeInt| - |rangePascalTriangle| |leftGcd| |monicDecomposeIfCan| |solid?| - |headReduced?| |zeroDimensional?| |s17aef| |ruleset| |child?| - |lagrange| |signAround| |selectOptimizationRoutines| |s18aff| - |perspective| |infRittWu?| |var1StepsDefault| |clipWithRanges| |has?| - |legendreP| |rroot| |kernel| |previous| |matrixDimensions| |f04maf| - |putProperty| |monomial?| |rootNormalize| |setClipValue| |regime| - |startStats!| |nonSingularModel| |axesColorDefault| |list| - |complexNumeric| |read!| |closed?| |decimal| |close!| - |monomialIntPoly| |e04fdf| |suchThat| |sign| |reduceBasisAtInfinity| - |OMputAtp| |ksec| |logIfCan| |draw| |critMonD1| |failed?| |mulmod| - |leftExactQuotient| |deepestTail| |pleskenSplit| |paren| - |outputMeasure| |moreAlgebraic?| |bottom!| |setIntersection| |c05adf| - |startTable!| |varselect| |vspace| |pop!| |extendedEuclidean| - |setMinPoints| |getProperty| |symmetricProduct| |makeCrit| - |ListOfTerms| |redpps| |cCot| |ScanFloatIgnoreSpacesIfCan| - |setProperty| |mathieu22| |closeComponent| |characteristicSet| - |normFactors| |laguerreL| |domainTemplate| |hclf| |sturmSequence| - |pascalTriangle| |minPol| |dfRange| |quasiAlgebraicSet| |ratDenom| - |s17adf| |sparsityIF| |resize| |makeObject| |bezoutMatrix| - |perfectSquare?| |stronglyReduce| |diophantineSystem| |curve?| - |algint| |intermediateResultsIF| |leftAlternative?| |digamma| |center| - |cExp| |returnTypeOf| |coef| |edf2efi| |debug3D| |light| - |discriminantEuclidean| |d02ejf| |stack| |biRank| |graphCurves| - |nextPrimitiveNormalPoly| |mainValue| |pmintegrate| |label| - |dictionary| |graphImage| |leftRank| |showClipRegion| |elliptic?| - |d02gaf| |push| |se2rfi| |c06gcf| |cot2tan| |name| |s14aaf| - |evenInfiniteProduct| |reciprocalPolynomial| |fortranReal| |conjug| - |hermite| |cAcsch| |transcendent?| |meshPar1Var| |nonQsign| |body| - |meshPar2Var| |direction| |rootBound| |mapBivariate| |unary?| - |associatedSystem| |typeForm| |cardinality| |stFunc1| - |rewriteIdealWithHeadRemainder| |outputAsTex| |powerAssociative?| - |patternMatch| |cycleLength| |interpret| |one?| |harmonic| - |permutation| |c05nbf| |dominantTerm| |extractIndex| |internal?| - |logical?| |complexEigenvalues| |OMgetEndObject| |mainVariable| |isOr| - |integrate| |s15aef| |mpsode| |sPol| |hasTopPredicate?| |complexLimit| - |diagonal?| |basisOfCenter| |tab| |completeSmith| |addmod| - |createPrimitiveElement| |color| |d01alf| |wordInStrongGenerators| - |logGamma| |s13acf| |charClass| |degreePartition| |sup| - |factorGroebnerBasis| |cSin| |point| |length| |conditionP| |divisor| - |complexSolve| |rightTraceMatrix| |mdeg| - |createLowComplexityNormalBasis| |reduction| |atanhIfCan| |option| - |associative?| |computeBasis| |scripts| |wholeRadix| |testDim| - |Lazard| |iipow| |numberOfMonomials| |totalGroebner| SEGMENT |shape| - |s19abf| |f07adf| |reducedQPowers| |intensity| |mapExpon| |tan2trig| - |port| |submod| |subscript| |seed| |product| |OMreadFile| - |outputBinaryFile| |series| |inrootof| |alphanumeric| |every?| - |sin2csc| |cLog| |irreducibleFactors| |algebraicVariables| |lambert| - |s20acf| |goodPoint| |splitLinear| |gcdPolynomial| |polyRicDE| |Is| - |t| |f04mbf| |numberOfVariables| |host| |tableau| |factorByRecursion| - |printCode| |semiSubResultantGcdEuclidean1| |fmecg| |f04adf| |merge!| - |separateDegrees| |shufflein| |lfextlimint| |overlabel| |digit| - |subResultantChain| |toroidal| |printTypes| |OMgetBind| - |deepestInitial| |cscIfCan| |cdr| |systemSizeIF| |rational?| - |normalForm| |simplifyPower| |lfunc| |min| |whatInfinity| - |zeroSetSplit| |definingPolynomial| |subNodeOf?| |virtualDegree| - |leftQuotient| |diff| |relativeApprox| |f02abf| |character?| - |goodnessOfFit| |clip| |constantKernel| |radicalSimplify| |quadratic| - |OMgetVariable| |rightFactorIfCan| |flagFactor| |wholeRagits| |f02akf| - |palgint0| |isPlus| |chiSquare| |eq?| |dimensionsOf| |unknown| |apply| - |lazyVariations| |radicalEigenvalues| |numberOfNormalPoly| |divisors| - |tryFunctionalDecomposition?| |s19adf| |functionIsOscillatory| - |rightUnit| |stFuncN| |readable?| |stoseInvertible?| |first| |d01fcf| - |halfExtendedSubResultantGcd1| |dn| |cyclicGroup| |cTanh| - |primPartElseUnitCanonical| |f07fdf| |outputArgs| |xor| |imag| - |diagonals| |solve1| |unitVector| |rest| |parametric?| - |indiceSubResultantEuclidean| |maxint| |OMputEndBVar| - |rightScalarTimes!| |directProduct| |normalElement| |besselI| |case| - |bracket| |e01bhf| |BumInSepFFE| |approximants| - |eisensteinIrreducible?| |degreeSubResultantEuclidean| |readIfCan!| - |symFunc| |bernoulli| |Zero| |removeRoughlyRedundantFactorsInPols| - |internalSubQuasiComponent?| |schwerpunkt| |bivariatePolynomials| - |charpol| |comp| |keys| |presub| |true| |chainSubResultants| - |composite| |att2Result| |void| |c02agf| |setValue!| |One| |top| - |removeZero| |patternVariable| |modifyPoint| |cup| |trigs2explogs| - |var1Steps| |sortConstraints| |fullPartialFraction| - |generalizedEigenvector| |continue| |critBonD| |romberg| |imagj| - |generic?| |tRange| |pToHdmp| |f01mcf| |primes| |putGraph| |sort| - |plusInfinity| |makeSin| |makeprod| |algebraicOf| |principalIdeal| - |divideExponents| |defineProperty| |trunc| |iisinh| |changeThreshhold| - |c02aff| |minusInfinity| |setScreenResolution3D| |internalSubPolSet?| - |connect| |iicoth| |quadraticForm| |padicallyExpand| - |univariatePolynomial| |Gamma| |create| |makeViewport3D| - |nthFractionalTerm| |pointColor| |listRepresentation| |reducedSystem| - |Frobenius| |id| |mainCharacterization| |leadingBasisTerm| |tubePlot| - |reverseLex| |lSpaceBasis| |laplacian| |refine| |iiasinh| |transform| - |roughSubIdeal?| |realEigenvalues| |elt| |rightRecip| |lo| - |coerceImages| |writeLine!| |lazyEvaluate| |basicSet| |littleEndian| - |random| |representationType| |quote| |deleteRoutine!| |rangeIsFinite| - |wronskianMatrix| |next| |iiacosh| |integralMatrix| - |OMsupportsSymbol?| |imagJ| |sayLength| |postfix| |df2st| |sqfrFactor| - |stoseInternalLastSubResultant| |diagonalProduct| |mapGen| |pushucoef| - |iiacot| |positive?| |f04qaf| |lllip| |numberOfPrimitivePoly| - |showArrayValues| |integralRepresents| |cyclic?| |OMgetBVar| - |compactFraction| |palgLODE| |complete| |fortranCompilerName| |dot| - |iicsc| |setAdaptive3D| |getRef| |latex| |ord| |s17dhf| - |categoryFrame| |bumptab| |float?| |exQuo| |unitCanonical| - |cyclicEqual?| |matrixGcd| |badNum| |corrPoly| |ode1| |readBytes!| - |BasicMethod| |hostByteOrder| |useEisensteinCriterion| |delay| - |adaptive| |e04ycf| |insert| |child| |complexZeros| |subSet| - |readInt16!| |leftDivide| |basisOfMiddleNucleus| |cAcsc| |maxColIndex| - |viewport3D| |physicalLength| |reducedDiscriminant| |leader| - |quadratic?| |positiveSolve| |degreeSubResultant| |extractClosed| - |mainForm| |restorePrecision| |getCurve| |pointColorPalette| - |consnewpol| |exprToUPS| |cschIfCan| |sinhcosh| |binaryTree| - |writable?| |addMatch| |setOrder| |pToDmp| |applyRules| |rootRadius| - |mkIntegral| |inGroundField?| |OMputBVar| |OMgetEndError| - |semiIndiceSubResultantEuclidean| |nary?| |lighting| |localAbs| - |lazyPremWithDefault| |changeBase| |viewWriteDefault| |cfirst| - |qfactor| |nextsubResultant2| |createPrimitiveNormalPoly| - |toseSquareFreePart| |calcRanges| |algebraicCoefficients?| - |leftTraceMatrix| |d03faf| |minPoints3D| |setright!| |normDeriv2| - |radicalOfLeftTraceForm| |LazardQuotient| |commutator| |reduceLODE| - |primitivePart!| |graphState| |shiftRoots| |possiblyInfinite?| - |palginfieldint| |zoom| |quotedOperators| |magnitude| |nullary?| - |node?| |lexico| |startPolynomial| |symbolTable| |eulerE| |normalise| - |quickSort| |bsolve| |gramschmidt| |splitConstant| - |scanOneDimSubspaces| |callForm?| |quartic| |primeFrobenius| |s17aff| - |balancedBinaryTree| |B1solve| |csch2sinh| |fortranDouble| |setTex!| - |tubeRadiusDefault| |escape| |pushFortranOutputStack| |numerators| - |invmultisect| |Si| |upperCase| |divideIfCan| |tablePow| - |pseudoDivide| |setRealSteps| |idealSimplify| |popFortranOutputStack| - |width| |trim| |simplifyExp| |rootOfIrreduciblePoly| |e02baf| |super| - |selectPolynomials| |open?| |fTable| |exponent| |f01maf| - |outputAsFortran| |rightMinimalPolynomial| |argumentList!| |cosIfCan| - |pol| |dequeue!| |exponentialOrder| Y |mapmult| - |variationOfParameters| |powers| |OMParseError?| |messagePrint| - |simplifyLog| |moduleSum| |monicDivide| |jacobian| |phiCoord| - |lazyPrem| |decompose| |eigenvector| |rotate| |expressIdealMember| - |noncommutativeJordanAlgebra?| |nthr| |infix| |selectPDERoutines| - |ellipticCylindrical| |f02fjf| |interpolate| |d01asf| - |selectMultiDimensionalRoutines| |remainder| |lowerBound| |bipolar| - |nil?| |clearCache| |sumSquares| |topPredicate| |readUInt16!| |lift| - |table| |tubeRadius| |completeHermite| |nextPrime| |maxPoints| - |isPower| |rename!| |reindex| |e04mbf| |addBadValue| |reduce| |new| - |upperCase!| |insert!| |fillPascalTriangle| |obj| - |selectOrPolynomials| |iisqrt3| |removeIrreducibleRedundantFactors| - |recolor| |socf2socdf| |integral| |reverse!| |solveid| - |removeConstantTerm| |cache| |stoseLastSubResultant| - |rightRegularRepresentation| |external?| |li| |vertConcat| |dark| - |cyclicSubmodule| |genericRightDiscriminant| |plot| |cycle| |expt| - |rootPoly| |factorOfDegree| |c06frf| |uncouplingMatrices| - |startTableGcd!| |linSolve| |leftRankPolynomial| |cAsin| |rk4a| - |raisePolynomial| |check| |allRootsOf| |approxSqrt| |duplicates?| - |factor| |cCosh| |moebius| |removeRedundantFactorsInPols| |checkRur| - |mindeg| |forLoop| |hexDigit?| |ref| |totalDifferential| |OMgetType| - |dmpToHdmp| |generalInfiniteProduct| |nonLinearPart| |endSubProgram| - |rCoord| |integralBasisAtInfinity| |gderiv| |multisect| |mapUp!| - |LiePolyIfCan| |tubePoints| |vector| |setErrorBound| |llprop| |iiexp| - |GospersMethod| |car| |inspect| |complex?| |euclideanGroebner| |list?| - |differentiate| |numberOfFactors| |userOrdered?| |tanh2trigh| |iomode| - |explimitedint| |coerceS| |predicate| |antiCommutator| - |basisOfLeftAnnihilator| |simpsono| |c06fuf| |airyBi| |mainKernel| - |setProperties| |e01baf| |lowerCase!| |roughBasicSet| |OMputObject| - |euler| |digit?| |SturmHabichtCoefficients| |binaryTournament| |size| - |irreducibleFactor| |safetyMargin| |left| ** |lyndon?| |monomial| - |laurentRep| |dom| |test| |logpart| |powern| |directSum| |box| - |leftTrace| |stoseInvertible?reg| |byte| |lfintegrate| |minIndex| - |multivariate| |right| |removeCosSq| |removeZeroes| |fixPredicate| - |palgintegrate| |zCoord| |extractSplittingLeaf| |cCsc| - |halfExtendedResultant2| |extendIfCan| |Aleph| |position!| - |retractIfCan| |subspace| |janko2| |rewriteSetWithReduction| - |basisOfCommutingElements| |rightZero| |lllp| |coefficients| |f02agf| - |close| |squareFree| |SturmHabichtMultiple| |linear| |highCommonTerms| - |weakBiRank| |mapUnivariateIfCan| |e02daf| |laplace| |mathieu24| - |computeCycleEntry| |OMputEndObject| |triangularSystems| - |stoseInvertibleSetreg| |sqrt| |rombergo| |dioSolve| |conjugate| - |setprevious!| |e02ajf| |updatF| |e04dgf| |leaves| |display| - |indicialEquation| |polynomial| |expPot| |real| |title| |rootPower| - |pade| |ravel| |resultant| |createNormalElement| |repeatUntilLoop| - |units| |repSq| |aromberg| |prefix| |tanSum| |cCsch| |deepExpand| - |writeInt8!| |iiabs| |newSubProgram| |symbolIfCan| |reshape| - |minimalPolynomial| |inputOutputBinaryFile| |points| |parameters| - |implies| |multinomial| |convergents| |s18dcf| |backOldPos| |s13aaf| - |scopes| |particularSolution| |int| |cSec| |s14abf| |blue| |e| - |mapdiv| |characteristicPolynomial| |OMopenString| F2FG |odd?| |node| - |linearAssociatedOrder| |leftRemainder| |decreasePrecision| |expint| - |e02bdf| |operators| |tryFunctionalDecomposition| |removeSinhSq| - |LowTriBddDenomInv| |var2StepsDefault| |SFunction| |createThreeSpace| - |input| |simplify| |setPrologue!| |map| |localUnquote| |numFunEvals| - |weight| |showTheSymbolTable| |fintegrate| |brace| |kernels| |code| - |testModulus| |OMgetApp| |palgRDE0| |library| |symmetric?| |lyndon| - |aspFilename| |solveLinearPolynomialEquationByRecursion| |constant?| - |e02adf| |update| |eq| |operator| |showSummary| |isEquiv| |fortran| - |s21bdf| |sample| |argumentListOf| |algebraic?| |schema| - |partialQuotients| |iicot| |atrapezoidal| |primPartElseUnitCanonical!| - |iter| |rootProduct| |optimize| |cSinh| |coerceL| |primextintfrac| - |constDsolve| |denominators| |infieldint| |associator| - |algebraicDecompose| |redmat| |isNot| |tanQ| |sequence| |selectfirst| - |hyperelliptic| |leastAffineMultiple| |ScanFloatIgnoreSpaces| - |continuedFraction| |multiple?| |assert| |cycleSplit!| |measure| - |asinIfCan| |myDegree| |optional?| |multMonom| |convert| |pomopo!| - |contract| |subResultantsChain| |OMputEndAtp| |signatureAst| - |showAttributes| |psolve| |rdregime| |split!| |order| |level| - |ldf2lst| |FormatArabic| |groebnerIdeal| - |semiLastSubResultantEuclidean| |zeroDim?| |position| |log2| - |nextIrreduciblePoly| |evenlambert| |areEquivalent?| |algSplitSimple| - |readUInt8!| |mergeDifference| |separant| |companionBlocks| |unit?| - |denomRicDE| |generalSqFr| |solveRetract| |RemainderList| |derivative| - |viewDeltaYDefault| |iiasec| |sncndn| |swap| |quotient| |fixedDivisor| - |setlast!| |createLowComplexityTable| |compile| |subMatrix| - |characteristicSerie| |status| |endOfFile?| |exp| |evaluateInverse| - |minPoly| |subNode?| |nlde| |zeroDimPrimary?| |createNormalPoly| - |separateFactors| |doubleFloatFormat| - |removeSuperfluousQuasiComponents| |equation| |lazyPseudoQuotient| - |rightGcd| |numeric| |invertible?| |initiallyReduced?| |curry| |iilog| - |setfirst!| |rightDivide| |extractPoint| |radical| |ParCond| - |sylvesterSequence| |removeSuperfluousCases| |LyndonCoordinates| - |f02wef| |rotatey| |build| |normalizedDivide| |badValues| |scale| - |rationalPoints| |shiftLeft| |before?| |rootSimp| - |setScreenResolution| |collectQuasiMonic| |e01bff| |OMgetString| - |irreducibleRepresentation| |script| |boundOfCauchy| |sh| |dmpToP| - |style| |noValueMode| |modulus| |f07aef| |cosSinInfo| |rootSplit| - |printInfo| |prinb| |vark| |sumOfSquares| |e04naf| |support| - |quasiMonicPolynomials| |any?| |OMputBind| |cyclotomic| |unparse| - |mix| |numberOfComponents| |fullDisplay| |iiasin| |symmetricSquare| - |localReal?| |bivariate?| |constantLeft| |tex| |arity| - |resetBadValues| |is?| |radicalSolve| |lepol| |nullSpace| - |relationsIdeal| |d01apf| |nothing| |overbar| |imagE| |vconcat| - |mindegTerm| |resultantReduitEuclidean| |zerosOf| |monomRDE| |optpair| - |setrest!| |mergeFactors| |size?| |atanIfCan| - |createMultiplicationMatrix| |univariatePolynomials| |figureUnits| - |rightMult| |problemPoints| |s18adf| |gcdPrimitive| |central?| - |addiag| |viewSizeDefault| |definingEquations| |complexEigenvectors| - |makeSUP| |monomialIntegrate| |decomposeFunc| |identity| |finiteBasis| - |saturate| |OMencodingBinary| |qelt| |ramifiedAtInfinity?| - |primintfldpoly| |generalizedContinuumHypothesisAssumed| - |getMultiplicationMatrix| |e01sbf| |oddInfiniteProduct| |type| - |qsetelt| |imagI| |sech2cosh| |eigenMatrix| |low| |rem| - |numberOfComputedEntries| |viewDeltaXDefault| |solve| - |localIntegralBasis| |fortranCharacter| |lazyIrreducibleFactors| - |dihedral| |freeOf?| |UP2ifCan| |quo| |xRange| |outputGeneral| - |initial| |LyndonWordsList| |errorKind| |prepareSubResAlgo| - |create3Space| |cons| |OMopenFile| |tanIfCan| |ParCondList| |yRange| - |ratDsolve| |mainVariables| |constantOperator| |LiePoly| - |symmetricTensors| |universe| |dim| |polyPart| |numericIfCan| - |getOrder| |div| |zRange| |leftNorm| |factorset| |chvar| |makeFR| - |hcrf| |e01daf| |appendPoint| |map!| |factorSquareFreeByRecursion| - |printStats!| |exquo| |pastel| |asimpson| |c06gbf| |isTimes| - |rationalPoint?| |makeGraphImage| |qsetelt!| |front| |stopTableGcd!| - ~= |tensorProduct| |cCos| |iiacsch| |f01qef| |octon| |orbit| |null?| - |subresultantSequence| |smith| |#| |nativeModuleExtension| |revert| - |shuffle| |subTriSet?| |infinite?| |extractIfCan| |constantRight| - |droot| |zero| |linearDependence| ~ |unit| |coerce| - |multiEuclideanTree| |curveColorPalette| |f01qcf| |fortranTypeOf| - |f04axf| |source| |flexibleArray| |radicalRoots| |stFunc2| - |maximumExponent| |construct| |fibonacci| |iroot| |mainVariable?| - |pushup| |And| |bipolarCylindrical| |represents| |leadingExponent| - |factorial| |iiperm| |positiveRemainder| |basisOfNucleus| |overlap| - |pdf2df| |nextPrimitivePoly| |/\\| |Or| |wordsForStrongGenerators| - |acsch| |region| |constantCoefficientRicDE| |coefChoose| |string?| - |frobenius| |real?| |f02adf| |elaborate| |Not| |iisec| |\\/| |rename| - |mkAnswer| |rationalApproximation| |normalDenom| |rk4qc| - |stoseSquareFreePart| |constantIfCan| |part?| |getExplanations| - |exprex| |rightQuotient| |closed| |viewport2D| |target| |normalized?| - |acothIfCan| |lazyResidueClass| |exprHasLogarithmicWeights| - |hypergeometric0F1| |genericRightTraceForm| |qroot| - |principalAncestors| |rst| |minRowIndex| |squareFreePrim| |imagK| - |sinh2csch| |indiceSubResultant| |indices| |leftScalarTimes!| - |getZechTable| |weierstrass| |bfKeys| |clipParametric| |addPointLast| - |leftOne| |monomials| |permanent| |abelianGroup| - |inverseIntegralMatrixAtInfinity| |genericLeftDiscriminant| |edf2fi| - |hessian| |exp1| |clearTheSymbolTable| |quadraticNorm| |acosIfCan| - |SturmHabicht| |transpose| |shiftRight| - |rightCharacteristicPolynomial| |second| |open| |irDef| - |setLabelValue| |integers| |univariate?| |computePowers| |minGbasis| - |integralDerivationMatrix| |tab1| |lintgcd| - |permutationRepresentation| |third| |sub| |rightAlternative?| - |readLineIfCan!| |twist| |getBadValues| |linear?| |bitLength| - |surface| |pow| |move| |crushedSet| |inverse| |pseudoRemainder| - |indicialEquations| |initiallyReduce| |paraboloidal| |reorder| - |characteristic| |contractSolve| |nilFactor| |modularGcdPrimitive| - |removeRoughlyRedundantFactorsInContents| |binomThmExpt| |evaluate| - |computeCycleLength| |cyclic| |rowEchLocal| |reset| |module| - |indicialEquationAtInfinity| |isExpt| |bright| |operations| |cSech| - |coshIfCan| |insertionSort!| |zeroVector| |empty?| |elem?| F - |morphism| |isAnd| |commutativeEquality| |remove!| |bounds| |conical| - |approxNthRoot| |prime?| |makeMulti| |cyclicEntries| - |standardBasisOfCyclicSubmodule| |graphStates| |pushNewContour| - |write| |simpson| |truncate| |inc| |cross| |eval| - |genericRightMinimalPolynomial| |graeffe| |initials| |gethi| - |mightHaveRoots| |setelt| |setRow!| |setPosition| |save| LODO2FUN - |capacity| |errorInfo| |iibinom| |routines| |lieAdmissible?| - |useEisensteinCriterion?| |rightExtendedGcd| |setMinPoints3D| |c06gqf| - |bigEndian| |attributeData| |alternative?| |zag| |iidsum| |overset?| - |sn| |getStream| |modifyPointData| |pseudoQuotient| |copy| - |viewThetaDefault| |infinityNorm| |slex| |c05pbf| |listexp| |error| - |lazy?| |acotIfCan| |expandLog| |just| |OMconnInDevice| |repeating?| - |extendedSubResultantGcd| EQ |unmakeSUP| |factorPolynomial| - |argscript| |write!| |monic?| |antiCommutative?| |complexRoots| - |fortranInteger| |norm| |euclideanSize| |rightRank| |diag| |extract!| - |leftRecip| |outputFloating| |factorsOfDegree| |safeFloor| |mathieu12| - |d02raf| |s17dgf| |s20adf| |genus| |hasSolution?| |kmax| |middle| - |parent| |cylindrical| |invmod| |legendre| |OMputSymbol| - |retractable?| |primeFactor| |pmComplexintegrate| |normInvertible?| - |removeSquaresIfCan| |match?| |interactiveEnv| |f02awf| |satisfy?| - |sin?| |gradient| |autoCoerce| |invertIfCan| |f04asf| |polyred| - |solveInField| |OMputEndAttr| |solveLinear| |heapSort| - |numberOfImproperPartitions| |singRicDE| |pile| |assign| |binding| - |countable?| |generalizedContinuumHypothesisAssumed?| |leaf?| - |mapCoef| |genericLeftMinimalPolynomial| |rightRemainder| |prologue| - |Nul| |numberOfOperations| |maxrow| |putProperties| |parseString| - |singular?| |unitNormalize| |powmod| |rightNorm| |explicitlyFinite?| - |fglmIfCan| |copy!| |f02bjf| |toScale| |someBasis| |genericLeftNorm| - |hdmpToDmp| |e04gcf| |column| |rur| |integer?| |unitNormal| - |unaryFunction| |changeName| |complexElementary| |entry| - |rightExactQuotient| |cAsinh| |ceiling| |edf2ef| |identityMatrix| - |totalLex| |traverse| |subtractIfCan| |semicolonSeparate| - |createZechTable| |innerEigenvectors| |d01akf| |exportedOperators| - |jordanAlgebra?| |cycles| |triangular?| |parametersOf| |df2fi| |eof?| - |tracePowMod| |showScalarValues| |uniform| |binomial| |null| - |symmetricDifference| |squareFreePart| |dflist| |times!| - |unprotectedRemoveRedundantFactors| |setAdaptive| |bezoutResultant| - |hasHi| |stiffnessAndStabilityOfODEIF| |twoFactor| |shade| |not| - |generators| |f2df| |d02kef| |gcdprim| |lastSubResultantEuclidean| - |bag| |negative?| |sdf2lst| |musserTrials| |associates?| |and| - |oddlambert| |variable?| |zero?| |recur| |toseInvertible?| - |categories| |unknownEndian| |expenseOfEvaluation| |cycleElt| - |palgRDE| |sincos| |or| |delete| |coerceListOfPairs| - |jordanAdmissible?| |extension| |gensym| |mainContent| |pole?| - |expenseOfEvaluationIF| |mapMatrixIfCan| |binarySearchTree| - |toseInvertibleSet| |toseLastSubResultant| |fracPart| |palglimint0| - |typeList| |radicalEigenvectors| |removeDuplicates| |leadingSupport| - |orbits| |setleft!| |e02agf| |s17acf| |integralMatrixAtInfinity| - |headAst| |rationalFunction| |bit?| |qualifier| |setStatus| - |mainExpression| |partitions| |composites| |f01rcf| |diagonalMatrix| - |makingStats?| |removeCoshSq| |argument| |substitute| |acscIfCan| - |round| |branchPoint?| |prolateSpheroidal| |mainPrimitivePart| - |e02dff| |lexGroebner| |ODESolve| |inconsistent?| |colorDef| |mat| - |ridHack1| |extend| |spherical| |double?| |randomLC| |newTypeLists| - |accuracyIF| |isQuotient| |rational| |idealiser| |algintegrate| - |copyInto!| |curryRight| |fortranLiteralLine| |purelyTranscendental?| - |HermiteIntegrate| |solveLinearPolynomialEquationByFractions| |c06ebf| - |rightLcm| |partialFraction| UTS2UP |f01brf| |patternMatchTimes| - |clipPointsDefault| |meatAxe| |polynomialZeros| |d01bbf| |lazyPquo| - |var2Steps| |selectIntegrationRoutines| |s19acf| |basisOfRightNucloid| - |bandedJacobian| |f01rdf| |f04mcf| |rotate!| |depth| |iiasech| - |showTheRoutinesTable| |karatsubaDivide| |credPol| |selectsecond| - |weighted| |completeEchelonBasis| |putColorInfo| |groebSolve| |cn| - |associatorDependence| |expintegrate| |intersect| |power!| |rotatez| - |regularRepresentation| |mkPrim| |OMgetAtp| |isConnected?| |height| - |OMlistSymbols| |inputBinaryFile| |changeWeightLevel| |ScanArabic| - |clearTable!| |makeop| |leftFactor| |setButtonValue| |e02gaf| |dec| - |fractionPart| |bitTruth| |opeval| |univariatePolynomialsGcds| - |linearlyDependent?| |combineFeatureCompatibility| |option?| - |rightDiscriminant| |numericalIntegration| |perfectNthRoot| |cPower| - |nextLatticePermutation| |setFormula!| |selectFiniteRoutines| - |lastSubResultantElseSplit| |merge| |stirling1| |connectTo| |log10| - |prefixRagits| |univcase| |rischDEsys| |headReduce| |iisech| - |sizeMultiplication| |choosemon| |readInt8!| |limitedIntegrate| - |bitand| |iiacos| |cubic| |lazyGintegrate| |midpoints| - |minimumExponent| |s17ahf| |splitDenominator| |d01anf| - |halfExtendedResultant1| |bubbleSort!| |distdfact| - |resultantEuclideannaif| |quasiRegular| |pointLists| |denomLODE| - |subQuasiComponent?| |parabolicCylindrical| |autoReduced?| |iicsch| - |genericRightNorm| |sinIfCan| |bombieriNorm| |readByte!| |functorData| - |rationalPower| |newLine| |fixedPointExquo| |finite?| - 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|children| |fprindINFO| |rule| |tubePointsDefault| |insertRoot!| - |elementary| |exponential1| |complexNormalize| |divergence| - |makeRecord| |symmetricPower| |untab| |readLine!| - |transcendenceDegree| |exponents| |reopen!| |useSingleFactorBound?| - |outerProduct| |hostPlatform| |createRandomElement| |rightTrace| - |wreath| |prime| |randomR| |fill!| |curryLeft| |finiteBound| |e01bgf| - |declare!| |supersub| |subResultantGcdEuclidean| |createGenericMatrix| - |maxIndex| |youngDiagram| |changeNameToObjf| |cycleRagits| |ideal| - |ignore?| |dimensions| |partialDenominators| |squareFreeFactors| - |LyndonBasis| |repeating| |inR?| |subPolSet?| |setTopPredicate| - |compose| |unexpand| |d01ajf| |OMputError| |updatD| |qinterval| - |blankSeparate| |isAbsolutelyIrreducible?| |rules| |s18aef| - |kroneckerDelta| |extractTop!| |removeRedundantFactorsInContents| - |whileLoop| |epilogue| |sqfree| |symmetricRemainder| |multiset| - |expextendedint| |numberOfComposites| |shallowCopy| |inRadical?| - |symbol?| |step| |firstNumer| |noLinearFactor?| |setPoly| - 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|bezoutDiscriminant| |viewZoomDefault| |leviCivitaSymbol| - |createNormalPrimitivePoly| |elRow2!| |tanAn| |rdHack1| |value| - |countRealRootsMultiple| |completeHensel| |mappingAst| |filename| - |getDatabase| |cothIfCan| |critB| |getOperator| |powerSum| |back| - |totolex| |aQuartic| |e02bcf| |optional| |OMputString| - |listYoungTableaus| |ratpart| |disjunction| |generalTwoFactor| - |irForm| |lfinfieldint| |doubleRank| |replace| |formula| |parse| - |generalPosition| |OMputApp| |sylvesterMatrix| |presuper| |upperCase?| - |divisorCascade| |curve| |pr2dmp| |nextPartition| |elaborateFile| - |reducedForm| |removeRoughlyRedundantFactorsInPol| |stop| - |multiplyCoefficients| |arguments| |currentScope| |pointColorDefault| - RF2UTS |mr| |leftMinimalPolynomial| |OMgetInteger| - |complexNumericIfCan| |superHeight| |principal?| |increment| |f01bsf| - |leftFactorIfCan| |leftMult| |c06ecf| |singularitiesOf| |iterationVar| - |withPredicates| |chebyshevU| |nullary| |OMmakeConn| |loopPoints| - |sts2stst| |e02akf| |FormatRoman| |increase| |safeCeiling| |nrows| - |result| |deref| |bumptab1| |yCoordinates| - |rewriteIdealWithQuasiMonicGenerators| |elseBranch| - |setAttributeButtonStep| |setref| |viewDefaults| |mesh?| |Vectorise| - |plotPolar| |ncols| |validExponential| |integralCoordinates| - |internalIntegrate| |scan| |updateStatus!| |summation| |cTan| - |numberOfIrreduciblePoly| |enterPointData| |generateIrredPoly| - |leastMonomial| |c06ekf| |prod| |e02ddf| |e04ucf| |tower| - |generalLambert| |linearMatrix| |lazyPseudoRemainder| |bernoulliB| - |basis| |setMaxPoints3D| |sizePascalTriangle| |imports| |groebner?| - |airyAi| |nthFlag| |bivariateSLPEBR| |notelem| |invertibleElseSplit?| - |makeVariable| |complexForm| |totalfract| |eyeDistance| |relerror| - |OMgetEndAttr| |prindINFO| |taylor| |comment| |setchildren!| - |jokerMode| |root?| |distFact| |compiledFunction| |mapDown!| |atom?| - |getMatch| |rootDirectory| |iiacoth| |laurent| |limitPlus| - |drawToScale| |prem| |countRealRoots| |stronglyReduced?| |fractRagits| - |printingInfo?| |optAttributes| |OMReadError?| |exprToGenUPS| - |puiseux| |ef2edf| |cAtanh| |explogs2trigs| - |unrankImproperPartitions0| |pureLex| |matrix| |index| |drawComplex| - |purelyAlgebraic?| |lowerCase?| |s17akf| |f02aff| |shellSort| - |critpOrder| |stoseInvertibleSetsqfreg| |entry?| |polygon| - |functionIsFracPolynomial?| |inf| |setPredicates| - |createIrreduciblePoly| |multiplyExponents| |inv| |content| |lambda| - |d01gaf| |s21bbf| |numFunEvals3D| |stopMusserTrials| - |startTableInvSet!| |whitePoint| |iiatan| |getCode| |karatsubaOnce| - |ground?| |setVariableOrder| |setvalue!| |interpretString| |dimension| - |outputSpacing| UP2UTS |lowerPolynomial| |e02aef| |pair| - |linkToFortran| |ground| |fortranLogical| |fixedPoint| - |makeYoungTableau| |scalarMatrix| |interReduce| |clipSurface| - |isOpen?| |recoverAfterFail| |solveLinearlyOverQ| - |clearFortranOutputStack| |OMgetObject| |directory| |cartesian| - |c06fqf| |lastSubResultant| |leftZero| |halfExtendedSubResultantGcd2| - |getGoodPrime| |leadingMonomial| |xCoord| |showFortranOutputStack| - |changeMeasure| |derivationCoordinates| |OMputEndBind| |sum| - |readInt32!| |reverse| |hspace| |quotientByP| |karatsuba| |compdegd| - |leadingCoefficient| |basisOfLeftNucloid| |getMultiplicationTable| - |quoByVar| |mathieu11| |factorSquareFree| |leftLcm| |constantOpIfCan| - |algebraicSort| |getConstant| |minimumDegree| |imagi| - |primitiveMonomials| |irreducible?| |lieAlgebra?| |midpoint| - |shrinkable| |rectangularMatrix| |retract| |push!| |divideIfCan!| - |innerSolve1| |shallowExpand| |mvar| |radix| |reductum| |setColumn!| - |alphanumeric?| |linears| |coth2trigh| |leftRegularRepresentation| - |fortranComplex| |queue| |exactQuotient| |inverseIntegralMatrix| - |commonDenominator| |reflect| |rootKerSimp| |coefficient| - |absolutelyIrreducible?| |OMputEndError| |unvectorise| - |viewPhiDefault| |rank| |e04jaf| |writeUInt8!| |makeFloatFunction| - |collectUpper| |explicitEntries?| |s17dlf| |primitive?| |superscript| - |trueEqual| |OMgetFloat| |lifting1| |over| |idealiserMatrix| |degree| - |zeroOf| |purelyAlgebraicLeadingMonomial?| |OMgetError| |rarrow| - 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** |discriminantEuclidean| |kroneckerDelta| |fullPartialFraction| + |pushuconst| |operation| |testDim| |d02raf| |OMputString| |makeTerm| + |traverse| |library| |explimitedint| |indicialEquations| + |removeSuperfluousCases| |removeDuplicates| |implies| |algSplitSimple| + |fortranCompilerName| |e04naf| |isConnected?| |screenResolution| + |submod| |maxrow| |float?| |reduceByQuasiMonic| |pole?| |csc2sin| + |s17dlf| |eulerE| |plenaryPower| |evaluate| |rectangularMatrix| |size| + |variable| |hypergeometric0F1| |mesh?| |linkToFortran| |nsqfree| + |pdf2df| |minColIndex| |pleskenSplit| |printHeader| + |characteristicPolynomial| |iterators| |showAll?| |extendedIntegrate| + |OMencodingBinary| |monicDecomposeIfCan| |nonLinearPart| + |getPickedPoints| |set| |bezoutResultant| |leftUnit| |distance| + |harmonic| |unary?| |mkIntegral| |useNagFunctions| |bombieriNorm| + |f04adf| |leftFactorIfCan| |littleEndian| |basisOfLeftNucloid| + |LyndonWordsList1| |critT| |previous| |weights| |genericLeftTraceForm| + |scalarTypeOf| |nthr| |moduloP| |cross| |overbar| |plot| + |infiniteProduct| |rewriteSetWithReduction| |subtractIfCan| + |purelyTranscendental?| |palgintegrate| |e01bgf| |integral?| + |removeRedundantFactors| |separate| |qfactor| |LagrangeInterpolation| + |shellSort| |makeEq| |aspFilename| |listYoungTableaus| |SturmHabicht| + |maxColIndex| |makeViewport3D| |d02ejf| |d01bbf| + |linearlyDependentOverZ?| |makeViewport2D| |expenseOfEvaluationIF| + |jokerMode| |s17dgf| |round| |support| |say| |computeCycleLength| + |qPot| |putProperties| |true| |leadingSupport| |arguments| |aromberg| + |e02bef| |cyclicGroup| |dot| |symmetricTensors| |torsion?| |coerceS| + |generalizedEigenvector| |subscript| |category| |exQuo| + |ramifiedAtInfinity?| |conditionP| |primitive?| |readUInt8!| + |factorset| |minordet| |reset| |OMlistSymbols| |node| |f02axf| + |iifact| |OMopenString| |permutation| |domain| |OMlistCDs| |charClass| + |setImagSteps| |processTemplate| |roughBase?| |createPrimitiveElement| + |normalise| |insert| |LyndonCoordinates| |drawStyle| + |basisOfCommutingElements| |package| |FormatRoman| |normalDeriv| + |fortranLogical| |e02ajf| |zCoord| |write| |endSubProgram| |inc| + |curve?| |getMultiplicationTable| |push!| |exp| |alphabetic?| + |rightOne| |solid?| |save| |nextPrimitivePoly| |realZeros| + |closedCurve?| |pointSizeDefault| |GospersMethod| |show| |paren| + |cyclicCopy| |critpOrder| |spherical| |genericRightMinimalPolynomial| + |readByte!| |ratpart| |leftMult| |prepareDecompose| |primintegrate| + |monicLeftDivide| |nextsubResultant2| |getOrder| |clearTheFTable| + |consnewpol| |cyclotomicDecomposition| |chebyshevT| |merge!| |f04atf| + |trace| |logGamma| |cycle| |lazyPquo| |unitCanonical| |OMsend| + |tryFunctionalDecomposition?| |toseInvertible?| |copies| |s14baf| + |quasiMonicPolynomials| |tracePowMod| |sort!| |even?| |orbits| + |factorSquareFreeByRecursion| |central?| |ldf2lst| |branchPoint?| + |solveLinearPolynomialEquationByRecursion| |superscript| |varList| + |refine| |stopTable!| |extractIfCan| |nor| |divisor| + |screenResolution3D| |divide| |viewport3D| |internalLastSubResultant| + |root?| |firstUncouplingMatrix| |viewDeltaXDefault| |equality| + |fortranReal| |karatsubaOnce| |simpleBounds?| |lflimitedint| |s17def| + |bivariate?| |xCoord| |viewWriteAvailable| |open| |c05nbf| |tanSum| + |identitySquareMatrix| |equiv| |quickSort| |universe| |rCoord| + |showAllElements| |countable?| |resultantEuclidean| |rightZero| + |increase| |monicDivide| |laurentRep| |inputBinaryFile| |graphs| + |color| |algint| |c02agf| |d02cjf| |obj| |rowEchelonLocal| |laguerre| + |retractIfCan| |mappingAst| |quasiRegular| |updatF| |double| |car| + |OMcloseConn| |maxPoints| |exprToUPS| |stoseInvertibleSetsqfreg| + |cache| |constant| |abelianGroup| |max| |reducedContinuedFraction| + |possiblyInfinite?| |denominator| |rquo| |getBadValues| |invertible?| + |operations| |roughUnitIdeal?| |double?| |unknownEndian| + |hostPlatform| |dmpToP| |pushup| |c06ecf| |palgLODE0| + |constantOpIfCan| |compose| |setleft!| |geometric| |rightRank| + |f04qaf| |approxNthRoot| |coefficient| |mkcomm| + |reduceBasisAtInfinity| |cAcoth| |log10| |numberOfMonomials| + |printStats!| |s19adf| |selectNonFiniteRoutines| + |ScanFloatIgnoreSpacesIfCan| |Is| |prolateSpheroidal| |iiasinh| + |solveid| |initiallyReduce| |bitand| |fortranLinkerArgs| |infinity| + |complexSolve| |FormatArabic| |addiag| |rightRankPolynomial| |rspace| + |physicalLength| |subMatrix| |showScalarValues| |bitior| + |controlPanel| |xn| |cCsch| |conjug| |structuralConstants| + |numFunEvals| |removeRedundantFactorsInPols| |polyPart| |constantLeft| + |multiset| |keys| |resetNew| |perfectNthRoot| |exptMod| + |singularAtInfinity?| |setVariableOrder| |invertibleElseSplit?| + |hitherPlane| |preprocess| |cotIfCan| |showFortranOutputStack| + |subCase?| |kernel| |invmultisect| |safeCeiling| |logpart| |map| + |unaryFunction| |viewPosDefault| |isQuotient| |asechIfCan| |d01alf| + |matrixConcat3D| |generalizedContinuumHypothesisAssumed?| + |currentCategoryFrame| |part?| |list| |associatorDependence| + |semiDegreeSubResultantEuclidean| |pointLists| |getDatabase| |c02aff| + |e04dgf| |print| |lhs| |inspect| |isPower| |selectAndPolynomials| + |denominators| |draw| |style| |randomLC| |jacobian| |exactQuotient!| + |palginfieldint| |resolve| |rhs| |mainMonomials| + |intermediateResultsIF| |factorFraction| |setValue!| |beauzamyBound| + |cschIfCan| |expenseOfEvaluation| |inverseIntegralMatrixAtInfinity| + |bipolarCylindrical| |gcdcofact| |singularitiesOf| |printInfo!| + |linear?| |initiallyReduced?| |ef2edf| |clipBoolean| + |createRandomElement| |lllip| |absolutelyIrreducible?| |rootOf| + |currentEnv| |setelt!| |differentialVariables| |algebraicSort| + |unexpand| |lquo| |setProperty| |pastel| |convert| |mapSolve| + |outlineRender| |f04mbf| |height| |reducedDiscriminant| |OMgetSymbol| + |paraboloidal| |OMputAtp| |makeObject| |binary| |rightTraceMatrix| + |functionIsOscillatory| |viewSizeDefault| |checkRur| |prime?| + |mainPrimitivePart| |transform| |sizeLess?| |totalGroebner| |cPower| + |coef| |deepExpand| |diag| |hermite| |weight| + |stoseIntegralLastSubResultant| |parts| |uniform| |removeConstantTerm| + |ode| |Si| |dom| |reseed| |cap| |normalizeIfCan| |permutations| + |alternatingGroup| |flexible?| |expextendedint| |characteristicSerie| + |getExplanations| |groebnerIdeal| |deref| |powern| Y |changeName| + |makeVariable| |arity| |changeMeasure| + |zeroSetSplitIntoTriangularSystems| |associatedSystem| |minrank| + |cothIfCan| |setvalue!| |setScreenResolution3D| |rowEchelon| + |setUnion| |limitedint| |curry| |infieldint| |label| |sinhcosh| + |reify| |isAtom| |expintegrate| |noValueMode| |leftAlternative?| + |semiResultantEuclideannaif| |leaf?| |mainMonomial| |entry| + |newTypeLists| |cycleElt| |denomLODE| |OMgetEndBVar| |zoom| |complex?| + |rename!| |removeZero| |cAtanh| |ldf2vmf| |numberOfPrimitivePoly| + |phiCoord| |represents| |OMputEndError| |qqq| |bitLength| + |OMputVariable| |OMputInteger| |asimpson| |rightTrace| + |definingEquations| |omError| |mathieu22| |numericIfCan| |polCase| + |getConstant| |d01ajf| |exprex| |mdeg| |genericLeftDiscriminant| + |getMeasure| |makeMulti| |trapezoidal| |lineColorDefault| |delete!| + |reorder| |ksec| |nextLatticePermutation| |lexGroebner| |writeInt8!| + |ffactor| |cAcsch| |numberOfVariables| |mindeg| |incr| |Beta| + |leadingIndex| |shape| |upperCase| |positiveSolve| |LazardQuotient2| + |directSum| |red| |environment| |stosePrepareSubResAlgo| |constructor| + |hi| |roughSubIdeal?| |s18def| |stoseLastSubResultant| |trivialIdeal?| + |tail| |bumptab1| |extract!| |stripCommentsAndBlanks| + |internalSubPolSet?| |showTheSymbolTable| |binomial| + |numberOfComposites| |status| |cardinality| |option| |baseRDE| + |rightUnit| |critB| |complexElementary| |complexForm| |showSummary| + |resetBadValues| |derivationCoordinates| |strongGenerators| + |associator| |binaryTree| |lyndonIfCan| |ricDsolve| |normal?| + |writeBytes!| |rules| |units| |physicalLength!| |iilog| |ddFact| + |trapezoidalo| |top| |accuracyIF| |palgRDE| + |semiLastSubResultantEuclidean| |modulus| |quotedOperators| + |showAttributes| |digamma| |mapCoef| |OMputError| |explogs2trigs| + |continue| |listConjugateBases| |showArrayValues| |interpretString| + |intersect| |unvectorise| |euclideanGroebner| |surface| + |patternVariable| |OMsupportsCD?| |c06gbf| |f07fef| + |complexEigenvectors| |euclideanNormalForm| |closeComponent| + |setFieldInfo| |s19abf| |fixedPoints| |name| |setFormula!| |unknown| + |createLowComplexityNormalBasis| |lazyPrem| |aLinear| |forLoop| + |leadingExponent| |comment| |minimumDegree| |OMencodingSGML| + |characteristic| |body| |divideIfCan| |iiabs| |subQuasiComponent?| + |transcendent?| |host| |resultantnaif| |code| |complement| + |HenselLift| |logIfCan| |linearAssociatedLog| |cycleTail| |wreath| + |leftTrace| |integralLastSubResultant| |cyclicEntries| |btwFact| + |rightRegularRepresentation| |endOfFile?| |rightQuotient| + |yCoordinates| |null| |edf2fi| GF2FG |rightExactQuotient| + |expandPower| |realEigenvalues| |OMputEndBind| |pair?| |stFunc1| + |numberOfHues| |delta| |not| EQ |iiacsc| |getOperator| |fintegrate| + |connect| |symmetricDifference| |coordinate| |shallowCopy| |imagk| + |writable?| |and| |integralRepresents| |leftRecip| |totalfract| + |f07aef| |readUInt32!| |generate| UTS2UP |mirror| |algebraicDecompose| + |rational| |or| |nextsousResultant2| |stFuncN| |complexExpand| + |coth2tanh| |is?| |dualSignature| |lighting| + |unrankImproperPartitions0| |zeroDim?| |isTimes| |xor| |power!| + |f02ajf| |assert| |viewPhiDefault| |updatD| |incrementBy| |cExp| + |genericLeftMinimalPolynomial| |port| |isMult| |pattern| + |symbolTableOf| |case| |algDsolve| |sincos| |magnitude| + |characteristicSet| |palglimint| |expand| |pow| |modifyPoint| |closed| + |reduction| |Zero| |makeSUP| |dimension| |hexDigit?| |factorial| + |f07adf| |filterWhile| |list?| |t| |setfirst!| |f01qdf| |iisin| |One| + |measure2Result| |genericRightTrace| |iiatanh| |cAcos| |filterUntil| + |upDateBranches| |imagi| |contractSolve| + |rewriteIdealWithHeadRemainder| |lambda| |parabolicCylindrical| + |meshPar1Var| |wordInStrongGenerators| + |standardBasisOfCyclicSubmodule| |transcendentalDecompose| |search| + |useSingleFactorBound| |select| |critMonD1| |factor1| |quoted?| + |message| |constantToUnaryFunction| |stoseInvertible?reg| |decompose| + |iicoth| |tableau| |chiSquare1| |external?| |evaluateInverse| |redmat| + |powerSum| |hessian| |testModulus| |cAsinh| |rightRecip| |readInt32!| + |primitivePart| |pureLex| |nrows| FG2F |prime| |lfextendedint| + |insertMatch| |inRadical?| |baseRDEsys| |resetVariableOrder| |ncols| + |elt| |outputFloating| |coerceListOfPairs| |cosSinInfo| |eyeDistance| + |partialNumerators| |localAbs| |retract| |makeResult| + |toseLastSubResultant| |readable?| |cyclic?| |e04jaf| |invertibleSet| + |generateIrredPoly| |dilog| |zero| |cup| |f01brf| |latex| |log2| + |monomialIntegrate| |nullary?| |normFactors| |modTree| |cons| |sin| + |makeRecord| |qinterval| |rightRemainder| |innerint| |rotatez| + |expintfldpoly| |jordanAlgebra?| |nothing| |And| |cos| |d02bbf| + |lazyPseudoDivide| |viewport2D| |factorsOfCyclicGroupSize| + |splitDenominator| |iiperm| |ref| |Or| |mainCharacterization| |tan| + |rightDivide| |move| |outputAsTex| |bfKeys| |sqfrFactor| |monicModulo| + |upperBound| |e02ahf| |Not| |cot| |irreducible?| |reducedQPowers| + |isNot| |musserTrials| |untab| |rootSplit| |factorByRecursion| + |condition| |infinite?| |sec| |listBranches| |interval| |dimensionsOf| + |univariatePolynomials| |quadraticForm| |graphStates| + |internalDecompose| |csc| |sumSquares| |anticoord| |drawComplex| + |chebyshevU| |monic?| |augment| |OMgetApp| |ceiling| |interpret| + |source| |asin| |resize| |heapSort| |rewriteIdealWithRemainder| + |makeFR| |anfactor| |minus!| |se2rfi| |trailingCoefficient| + |asecIfCan| |dec| |e01sef| |acos| |lintgcd| |bivariatePolynomials| + |pointPlot| |ord| |digit?| |signatureAst| |createNormalPoly| |atan| + |LiePolyIfCan| |plusInfinity| |squareFreeFactors| |sup| |fracPart| + |stopMusserTrials| |lazyIntegrate| |polar| |exprHasWeightCosWXorSinWX| + |sncndn| |leastMonomial| |acot| |minusInfinity| |definingInequation| + |createNormalElement| |sec2cos| |char| |createNormalPrimitivePoly| + |ReduceOrder| |collectQuasiMonic| |var2StepsDefault| |index?| |asec| + |primeFactor| |closed?| |doubleComplex?| |normalized?| + |inverseLaplace| |d01anf| |imports| |queue| |leadingBasisTerm| |acsc| + |target| |iisqrt3| |rightScalarTimes!| |loopPoints| |associates?| + |powers| |getProperty| |credPol| |cycles| |sinh| |eigenvalues| + |belong?| |basisOfLeftNucleus| |mkAnswer| |clipParametric| + |stoseInternalLastSubResultant| |removeDuplicates!| |OMencodingXML| + |findConstructor| |cosh| |extractTop!| |infieldIntegrate| |mat| + |OMsetEncoding| |figureUnits| |readLine!| |commutator| |check| + |bezoutMatrix| |type| |tanh| |c06fqf| |s17dcf| |lieAdmissible?| + |restorePrecision| |outputList| |coord| |compound?| |cAcot| |polyRDE| + |tubePoints| |coth| |clipWithRanges| |charpol| |radPoly| |cdr| + |antiCommutative?| |cAtan| |c06gcf| |float| |stFunc2| |qelt| + |OMputEndObject| |nthCoef| |showTheFTable| |sech| |const| + |numberOfImproperPartitions| |hcrf| |second| |qsetelt| + |lazyVariations| |SturmHabichtCoefficients| |s20acf| |principalIdeal| + |OMgetInteger| |newReduc| |separateFactors| |csch| + |primPartElseUnitCanonical!| |topPredicate| |third| |realSolve| + |hdmpToDmp| |psolve| |coHeight| |isAnd| |xRange| |groebnerFactorize| + |c06ekf| |asinh| |LyndonBasis| |showRegion| |factorGroebnerBasis| + |stronglyReduced?| |complexZeros| |SFunction| |elRow2!| |abs| + |explicitlyEmpty?| |yRange| |compile| |void| |tubePlot| |acosh| + |decimal| |permutationRepresentation| |repeatUntilLoop| + |fortranDouble| |curveColor| |iicos| |startTableInvSet!| |e01bff| + |zRange| |diagonalMatrix| |sn| |triangular?| |atanh| |swap| + |removeIrreducibleRedundantFactors| |compBound| |s21bcf| + |getButtonValue| |map!| |diagonalProduct| |groebner?| |exactQuotient| + |tanIfCan| |setLegalFortranSourceExtensions| |acoth| |normalElement| + |contours| |linearlyDependent?| |sts2stst| |setnext!| + |halfExtendedResultant1| |oddlambert| |qsetelt!| |maximumExponent| + |discriminant| |fullDisplay| |asech| |pmComplexintegrate| + |listOfMonoms| |realElementary| |nodes| |rightMult| |OMParseError?| + |symmetricProduct| |certainlySubVariety?| |complexLimit| |d02gbf| + |removeRedundantFactorsInContents| |tan2cot| |rationalApproximation| + |ridHack1| |reduceLODE| |addPointLast| |taylorIfCan| |allRootsOf| GE + |knownInfBasis| |perfectSquare?| |multiple| |singRicDE| + |lastSubResultant| |systemSizeIF| |getCurve| |fractionFreeGauss!| + |cot2tan| |transcendenceDegree| |selectsecond| GT |triangularSystems| + |setErrorBound| |applyQuote| |readUInt16!| |presub| + |useEisensteinCriterion?| |e01daf| |binaryTournament| |prinshINFO| + |c06gsf| LE |Hausdorff| |complexNumericIfCan| |limit| + |doubleFloatFormat| |coordinates| |rootProduct| |commaSeparate| + |predicate| |goodPoint| |complexRoots| |packageCall| |e04gcf| LT + |acsch| |perfectNthPower?| |elaboration| |prod| |sub| |headRemainder| + |cSin| |inconsistent?| |radicalEigenvalues| |tanAn| + |commutativeEquality| |divideExponents| |subSet| |resultantReduit| + |ruleset| |recolor| |repeating| |repSq| |fractRagits| |element?| + |rdregime| |createMultiplicationTable| |exprToXXP| |subst| + |makingStats?| |close!| |reverseLex| |d02bhf| |normInvertible?| + |stoseInvertible?sqfreg| |extractClosed| |variable?| |dual| + |OMgetString| |createThreeSpace| |intcompBasis| |chvar| |parametersOf| + |besselI| |initTable!| |combineFeatureCompatibility| |e02akf| |mapGen| + |whitePoint| |inverseIntegralMatrix| |airyAi| |directory| + |ParCondList| |iiasin| |printStatement| |suchThat| |whileLoop| |heap| + |setTex!| |tree| |index| |problemPoints| |KrullNumber| |byteBuffer| + |makeCrit| |diagonal?| |identification| |quotient| + |sumOfKthPowerDivisors| |pointColorPalette| |normalDenom| |redPo| + |messagePrint| |generalizedInverse| |besselK| |initial| |slash| + |bringDown| |leftZero| |pile| |triangSolve| |extend| + |irreducibleFactor| |bubbleSort!| |approxSqrt| |weighted| + |stoseInvertibleSetreg| |ramified?| |stronglyReduce| |firstSubsetGray| + |chainSubResultants| |e02dff| |rightExtendedGcd| |pair| |exponents| + |s14aaf| |makeSketch| |primitivePart!| |objects| |superHeight| + |subscriptedVariables| |rightTrim| |tubeRadius| |iprint| |appendPoint| + |bright| |isOp| |rational?| |parameters| |leftOne| |yCoord| + |fibonacci| |irreducibleRepresentation| |base| |enumerate| |leftTrim| + |llprop| |rk4f| |removeSuperfluousQuasiComponents| |cSinh| |arg1| + |numberOfNormalPoly| |rdHack1| |splitLinear| |column| |readInt16!| + |rightAlternative?| |e02ddf| |monomialIntPoly| |eval| |d01amf| |arg2| + |ran| |fortranInteger| |remove!| |defineProperty| |removeCoshSq| + |atoms| |decrease| |inR?| |printingInfo?| |pushucoef| |getOperands| + |linearPolynomials| |quasiMonic?| |multiEuclidean| |df2fi| + |socf2socdf| |bracket| |option?| |conditions| |zero?| |split!| + |simplify| |commonDenominator| |ratDsolve| |error| |lSpaceBasis| + |removeSquaresIfCan| |epilogue| |tubeRadiusDefault| |OMreadStr| + |match| |integerBound| |iiatan| |nthFlag| |ListOfTerms| + |basisOfCenter| |getIdentifier| |symmetricSquare| |equation| + |numericalOptimization| |rk4qc| |degreePartition| |factorials| + |s18adf| |discreteLog| |externalList| |mapUnivariate| |difference| + |f02xef| |fixedDivisor| |tanNa| |distdfact| |safetyMargin| + |duplicates?| |function| |completeEchelonBasis| |rombergo| |optimize| + |d03edf| |lazyPseudoQuotient| |halfExtendedSubResultantGcd2| + |setMinPoints3D| |evenInfiniteProduct| |simplifyLog| + |generalizedEigenvectors| |graphState| |principal?| |iiexp| |bits| + |assign| |normalForm| |reopen!| |rightUnits| |iroot| |rur| + |PollardSmallFactor| BY |diophantineSystem| |An| |composite| |gbasis| + |monomials| |countRealRootsMultiple| |alternating| |trunc| |argument| + |row| |completeHermite| |factorSquareFree| |coerceL| |divisors| + |besselJ| |UnVectorise| |gcdPolynomial| |leftDivide| + |numberOfChildren| |elColumn2!| |subPolSet?| |optAttributes| |iiacot| + |norm| |boundOfCauchy| |bounds| |primlimitedint| |eof?| |e04fdf| + |readLineIfCan!| |hconcat| |recur| |cyclicParents| |sort| |reflect| + |ScanRoman| |mainVariables| |laplacian| |interactiveEnv| |duplicates| + |escape| |stirling2| |order| |redpps| |setPrologue!| |tab| + |localReal?| |rem| |box| |e01bhf| |integral| |rightDiscriminant| + |properties| |getCode| |gcdPrimitive| |modularGcd| |bivariateSLPEBR| + |dioSolve| |quo| |polygon?| |getSyntaxFormsFromFile| |sqfree| + |seriesSolve| |id| |reciprocalPolynomial| NOT |factors| + |useSingleFactorBound?| |cCosh| |translate| |cos2sec| |edf2df| + |binding| |setlast!| |stoseSquareFreePart| |lo| |lyndon?| OR |bumprow| + |random| |shiftRoots| |digits| |increment| |nand| |div| |att2Result| + |getGoodPrime| |simplifyPower| |iisinh| AND |moduleSum| |axes| |lcm| + |putColorInfo| |OMUnknownCD?| |bothWays| |exquo| |delete| |rightGcd| + |c06gqf| |completeHensel| |resultantEuclideannaif| |groebner| + |integer?| |basisOfMiddleNucleus| |scan| ~= |nextPrime| |htrigs| + |primextintfrac| |lift| |setleaves!| |top!| |permanent| |append| + |mainVariable?| |substitute| |goto| |#| |leftLcm| |nextItem| |f02bbf| + |reduce| |conical| |euclideanSize| |positive?| |gcd| |sh| + |constantOperator| |commutative?| ~ |symmetricRemainder| |twist| + |OMReadError?| |rootKerSimp| |polyRicDE| |false| + |semiResultantReduitEuclidean| |nextSublist| |setTopPredicate| |sign| + |internalAugment| |d02kef| |repeating?| |localUnquote| |cCot| + |completeSmith| |subresultantSequence| |createLowComplexityTable| + |reverse!| |apply| |numerators| |s17ajf| |optpair| |moebius| |deriv| + |find| |minPol| |/\\| |padecf| |adaptive3D?| |matrix| |first| + |numericalIntegration| |optional?| |poisson| |notelem| |property| + |conjugate| |partition| |\\/| |rest| |nthExponent| + |createIrreduciblePoly| |lp| |power| |fortranDoubleComplex| + |groebSolve| |f01bsf| |roughEqualIdeals?| |incrementKthElement| + |parent| |constantIfCan| |stiffnessAndStabilityFactor| |graphImage| + |coerce| * |unitNormal| |makeSeries| |cAsec| |particularSolution| + |rootNormalize| |nextNormalPrimitivePoly| |bigEndian| |setProperties| + |cosIfCan| |construct| |d01gbf| |changeThreshhold| |cAcsc| + |updateStatus!| |reindex| |generalSqFr| |lfunc| |numer| |enqueue!| + |cubic| |generator| |acscIfCan| |nextNormalPoly| |isOpen?| |taylorRep| + |constDsolve| |denom| |setColumn!| |elementary| |triangulate| |f01rdf| + = |LiePoly| |semicolonSeparate| |signAround| |OMputApp| |medialSet| + |exteriorDifferential| |indiceSubResultant| |setLength!| + |curveColorPalette| |maxrank| |nthFractionalTerm| |exists?| + |fortranCarriageReturn| |exprToGenUPS| |pi| |byte| |gcdprim| |f02akf| + < |startTable!| |typeLists| |addmod| |perfectSqrt| |invertIfCan| + |selectMultiDimensionalRoutines| |ranges| |width| |OMsupportsSymbol?| + |extendedSubResultantGcd| |every?| > |setprevious!| |smith| + |univariate?| |readIfCan!| |stirling1| |more?| |multMonom| + |taylorQuoByVar| <= |coshIfCan| |startTableGcd!| |d01aqf| |crest| + |balancedFactorisation| |cycleRagits| |idealSimplify| |rootDirectory| + |factorAndSplit| |mainSquareFreePart| |setrest!| |OMmakeConn| >= + |hdmpToP| |dfRange| |cylindrical| |low| |setButtonValue| + |squareMatrix| |zeroMatrix| |OMgetEndAtp| |multiplyExponents| |e02bdf| + |inverseColeman| |modularFactor| |setClipValue| |unitVector| + |sequence| |square?| |rootsOf| |leftRank| |fglmIfCan| + |lazyPseudoRemainder| |mainForm| |mainVariable| |cSec| |e04mbf| + |solveRetract| |unravel| |relativeApprox| |pol| |e01baf| |f01mcf| + |f01qcf| + |colorDef| |weakBiRank| |summation| |value| |numeric| + |clearCache| |iteratedInitials| |vectorise| |quartic| |pseudoQuotient| + |rationalPoints| |int| |determinant| |lazyGintegrate| - + |setCondition!| |randnum| |vedf2vef| |mappingMode| |antisymmetric?| + |recoverAfterFail| |radical| |rationalIfCan| |indices| |optional| + |f04mcf| |expandTrigProducts| / |antisymmetricTensors| + |removeRoughlyRedundantFactorsInPol| |pointColor| |sylvesterMatrix| + |selectOptimizationRoutines| |purelyAlgebraicLeadingMonomial?| |real?| + |exponential1| |head| |log| |alphanumeric?| |minPoints3D| |fi2df| + |createZechTable| |f04asf| |remainder| |toroidal| + |componentUpperBound| |getlo| |palgint0| |leftUnits| |OMserve| + |hostByteOrder| |zeroDimPrime?| |pquo| |symFunc| |connectTo| LODO2FUN + |signature| |lastSubResultantEuclidean| |unmakeSUP| |setelt| + |varselect| |insertionSort!| |qualifier| |hermiteH| + |singleFactorBound| |ideal| |trim| |usingTable?| |pomopo!| |imagJ| + |linSolve| |sin2csc| |outputGeneral| |declare!| + |nativeModuleExtension| |numberOfComputedEntries| |computePowers| + |mainCoefficients| |algebraic?| |mergeFactors| |realEigenvectors| + |copy| |operators| |roman| |mesh| |quasiAlgebraicSet| |invmod| + |regime| |iiacoth| |f02abf| |minset| |content| |intChoose| + |internalZeroSetSplit| |isOr| |s14abf| |addBadValue| |parametric?| + |returns| |viewThetaDefault| |datalist| |showClipRegion| + |integralBasis| |bernoulliB| |OMputEndApp| |mapUnivariateIfCan| + |s19aaf| |plus!| |asinhIfCan| |primeFrobenius| |f04faf| + |subResultantGcd| |iitanh| |dequeue!| |setright!| |copy!| + |setEpilogue!| |cTan| |genericPosition| |RemainderList| |e02gaf| + |selectfirst| |options| |ODESolve| |midpoints| |lowerCase!| |primes| + |pointData| |multiplyCoefficients| |OMwrite| |presuper| + |solveLinearlyOverQ| |f02adf| |OMgetError| |coerceP| + |leftScalarTimes!| |iExquo| |OMputFloat| |returnType!| + |innerEigenvectors| |s18aff| |polyred| |OMread| |extensionDegree| + |extendedResultant| |complexNormalize| |rotate!| |shiftLeft| + |useEisensteinCriterion| |segment| |capacity| |listRepresentation| + |dAndcExp| |bernoulli| |prefixRagits| |output| |string| + |complementaryBasis| |factorPolynomial| |linears| |sequences| + |setStatus| |traceMatrix| |basisOfRightNucleus| |lowerBound| + |printTypes| |simplifyExp| |bag| |isPlus| |vspace| |fortranTypeOf| + |LyndonWordsList| |revert| |ignore?| |startStats!| + |oneDimensionalArray| |factorSquareFreePolynomial| + |degreeSubResultant| |sayLength| |contract| |associatedEquations| + |zeroVector| |e01saf| |cond| |setMaxPoints| |minGbasis| |upperCase!| + |hyperelliptic| |schema| |minimize| |hasoln| |size?| |OMconnectTCP| + |leftRankPolynomial| |cLog| |integrate| |ratDenom| |legendre| + |nthRoot| |character?| |limitPlus| |quadratic?| |irCtor| |d01gaf| + |df2mf| |semiResultantEuclidean1| |pack!| |numberOfIrreduciblePoly| + |upperCase?| |indiceSubResultantEuclidean| |makeCos| |infinityNorm| + |elliptic?| |solveLinearPolynomialEquation| + |tryFunctionalDecomposition| |f02bjf| |e02daf| |complexIntegrate| + |derivative| |solveInField| |s17aff| |froot| |exponentialOrder| + |outputFixed| |basis| |putGraph| |currentScope| |reducedSystem| + |isImplies| |removeRoughlyRedundantFactorsInPols| |rarrow| + |fractionPart| |minimumExponent| |withPredicates| |roughBasicSet| + |remove| |in?| |key?| |yellow| |d01akf| |clearFortranOutputStack| + |c06eaf| |elaborate| |leadingTerm| |orthonormalBasis| + |bezoutDiscriminant| |getZechTable| |iiasech| |before?| |delay| + |cRationalPower| |subNode?| |perspective| |rootOfIrreduciblePoly| + |totalDegree| |nthExpon| |divergence| |center| |last| |normDeriv2| + |coth2trigh| |mainExpression| |makeUnit| |bipolar| |nonSingularModel| + |univcase| |OMgetBind| |assoc| |postfix| |chiSquare| |cAsin| + |lexTriangular| |errorKind| |shuffle| |possiblyNewVariety?| |insert!| + |leastAffineMultiple| |errorInfo| |formula| |negative?| |argscript| + |f04axf| |pop!| |factorSFBRlcUnit| |s17adf| |integralDerivationMatrix| + |setClosed| |partialQuotients| |goodnessOfFit| |chineseRemainder| + |subResultantsChain| |showTheIFTable| |splitSquarefree| + |irreducibleFactors| |s15aef| |normal01| |leftPower| |dimensions| + |replaceKthElement| |slex| |atanIfCan| |maxdeg| |pade| |empty?| + |noKaratsuba| |laplace| |multisect| |divisorCascade| |maxint| + |drawToScale| |nullity| |d02gaf| |s21bbf| |toScale| |tValues| |e02bbf| + |enterPointData| |OMputEndAttr| |OMputSymbol| |innerSolve| + |sumOfDivisors| |conditionsForIdempotents| |cycleEntry| |makeSin| + |removeSinhSq| |pointColorDefault| |e01sff| |shanksDiscLogAlgorithm| + |internalSubQuasiComponent?| |balancedBinaryTree| |genericLeftTrace| + |s17ahf| |OMputObject| |rootSimp| |setMaxPoints3D| |integerIfCan| + |exportedOperators| |padicFraction| |viewDeltaYDefault| |bitTruth| + |e02baf| |mapmult| |viewZoomDefault| |bytes| |numerator| |adaptive| + |Frobenius| |OMgetObject| |nlde| |iisec| |rischDEsys| + |jacobiIdentity?| |symmetricPower| |radicalOfLeftTraceForm| + |leftRegularRepresentation| |partitions| |exponential| |infRittWu?| + |axesColorDefault| |genericRightTraceForm| |binaryFunction| |df2st| + |weierstrass| |extendedEuclidean| |showTheRoutinesTable| |f04arf| + |subTriSet?| |fillPascalTriangle| |squareFreePolynomial| |iibinom| + |recip| |eq?| |sdf2lst| |flexibleArray| |rk4a| |prepareSubResAlgo| + |SturmHabichtSequence| |leadingCoefficientRicDE| |nil?| |clip| + |deepestInitial| |pdf2ef| |write!| |nullary| |dihedralGroup| + |aQuadratic| |mpsode| |sparsityIF| |partialDenominators| |scripted?| + |iicot| |jacobi| |createMultiplicationMatrix| |elem?| |OMputEndAtp| + |voidMode| |conjunction| |mathieu24| |mapUp!| |curve| |tab1| + |extendedint| |c05pbf| |push| |someBasis| |polygamma| |leaves| + |algebraicVariables| |uniform01| |schwerpunkt| |iiasec| + |ScanFloatIgnoreSpaces| |prem| |OMclose| |numFunEvals3D| |prinpolINFO| + |makeprod| RF2UTS |cCos| |nil| |solveLinear| |OMputEndBVar| |c06fpf| + |permutationGroup| |macroExpand| |euler| |sturmVariationsOf| + |setScreenResolution| |LowTriBddDenomInv| |tanintegrate| |Lazard| + |zeroDimPrimary?| |retractable?| |lookup| |opeval| |leviCivitaSymbol| + |variationOfParameters| |sizePascalTriangle| |internalInfRittWu?| + |e04ycf| |multinomial| |inHallBasis?| |cCoth| |B1solve| + |selectPolynomials| |fortranComplex| |lowerCase| |composites| + |bandedHessian| |approximate| |read!| |mathieu23| |OMgetEndBind| + |headReduce| |increasePrecision| |open?| |setMinPoints| + |LazardQuotient| |acschIfCan| |Vectorise| |sum| |complex| |cartesian| + |palgextint| |dmp2rfi| |rename| |principalAncestors| + |representationType| |raisePolynomial| |karatsubaDivide| + |create3Space| |iiacsch| |selectOrPolynomials| |var1StepsDefault| + |qroot| |cscIfCan| |wordInGenerators| |hasHi| |OMputAttr| + |laurentIfCan| |sPol| |OMgetAttr| |tableForDiscreteLogarithm| + |routines| |lazy?| |imagE| |rank| |radicalRoots| |listOfLists| + |computeCycleEntry| |iicsc| |HermiteIntegrate| |infix| |point| + |constantKernel| |s21baf| |cn| |pdct| |radicalSimplify| |morphism| + |genericLeftNorm| |debug| |semiDiscriminantEuclidean| |failed| + |inGroundField?| |mapMatrixIfCan| |supersub| |polarCoordinates| + |listexp| |atrapezoidal| |biRank| |addPoint| |algebraicOf| |lambert| + |leftMinimalPolynomial| D |coercePreimagesImages| |primintfldpoly| + |transpose| |leftNorm| |changeVar| |countRealRoots| |setDifference| + |multiple?| |bfEntry| |cTanh| |probablyZeroDim?| |empty| |series| + |npcoef| |continuedFraction| |antiCommutator| |collect| |cyclic| + |critBonD| |f01rcf| |semiSubResultantGcdEuclidean2| |has?| |s20adf| + |univariatePolynomialsGcds| |sinhIfCan| |colorFunction| |lprop| + |parseString| |seed| |child| |iipow| |mergeDifference| + |extractSplittingLeaf| |iisech| |csch2sinh| + |stiffnessAndStabilityOfODEIF| |sizeMultiplication| F2FG |f02wef| + |squareTop| |convergents| |maxRowIndex| |reduced?| |fTable| |super| + |root| |lists| |nthFactor| |unrankImproperPartitions1| |OMopenFile| + |fixedPoint| |subHeight| |min| |disjunction| |attributeData| |f02aef| + |leftCharacteristicPolynomial| |quote| |divideIfCan!| |quoByVar| + |hasTopPredicate?| |binarySearchTree| |plotPolar| |printInfo| + |headReduced?| |whatInfinity| |wordsForStrongGenerators| + |normalizeAtInfinity| |rst| |cyclotomicFactorization| + |functionIsContinuousAtEndPoints| |critMTonD1| |rubiksGroup| + |functorData| |setAdaptive3D| |graeffe| |any?| |cAcosh| |vconcat| + |var2Steps| |outputMeasure| |generalizedContinuumHypothesisAssumed| + |solveLinearPolynomialEquationByFractions| |checkPrecision| + |separateDegrees| |selectPDERoutines| |substring?| |clearTheIFTable| + |acotIfCan| |graphCurves| |key| |createPrimitiveNormalPoly| + |prevPrime| |cyclicEqual?| |f01qef| |OMbindTCP| + |subResultantGcdEuclidean| |iitan| |trueEqual| + |basisOfLeftAnnihilator| |quadratic| |oblateSpheroidal| |expt| + |expIfCan| |leader| |rotatex| |OMputBVar| |legendreP| |shiftRight| + |suffix?| |constant?| |filename| |meshFun2Var| |writeByte!| |cAsech| + |constantRight| |solve| |doubleDisc| |separant| |cCsc| + |integralBasisAtInfinity| |distFact| |symbolTable| |loadNativeModule| + |po| |cycleSplit!| |rowEchLocal| |RittWuCompare| |dominantTerm| + |doubleResultant| |nodeOf?| |genus| |frst| |prefix?| |besselY| + |factorList| |polygon| |parse| |singular?| |product| |numberOfCycles| + |plus| |fortran| |f02aaf| |addPoint2| |primPartElseUnitCanonical| + |generalTwoFactor| |bsolve| |monomRDEsys| |pushFortranOutputStack| + |deleteRoutine!| |selectODEIVPRoutines| |romberg| |odd?| |lllp| + |s18dcf| |getRef| |quasiRegular?| |alternative?| |changeWeightLevel| + |popFortranOutputStack| |choosemon| |twoFactor| |rotatey| + |primitiveElement| |entry?| |ode2| |toseInvertibleSet| |diagonal| + |primaryDecomp| |zeroSetSplit| |outputAsFortran| + |branchPointAtInfinity?| |exponent| |mathieu11| |terms| + |subresultantVector| |validExponential| |getMultiplicationMatrix| + |makeYoungTableau| |iflist2Result| |region| |table| |minRowIndex| + |mindegTerm| |innerSolve1| |selectSumOfSquaresRoutines| |matrixGcd| + |zeroDimensional?| |precision| |splitNodeOf!| |infLex?| |OMputBind| + |times| |shufflein| |new| |nextPrimitiveNormalPoly| |children| + |hexDigit| |selectIntegrationRoutines| |e02agf| |ellipticCylindrical| + |leastPower| |OMgetFloat| |rroot| |initials| |infix?| |ptree| + |basisOfRightAnnihilator| |OMgetVariable| |toseSquareFreePart| + |moreAlgebraic?| |specialTrigs| |extractBottom!| |flatten| |c06ebf| + |halfExtendedResultant2| |rationalPower| |mask| |e02adf| |simpsono| + |expandLog| |droot| |rootPoly| |localIntegralBasis| |OMgetEndError| + |init| |rightCharacteristicPolynomial| |split| |ocf2ocdf| |adjoint| + |torsionIfCan| |quasiComponent| |sorted?| |gcdcofactprim| + |extractIndex| |irForm| |octon| |compiledFunction| + |createGenericMatrix| |gderiv| |monom| |measure| |elements| |module| + |cosh2sech| |completeEval| |checkForZero| |tube| |iiGamma| |lifting| + |bat| |rule| |rangeIsFinite| |enterInCache| |OMreadFile| |isList| + |coefficients| |hclf| |hasSolution?| |e01sbf| |ScanArabic| |zag| + |functionIsFracPolynomial?| |shade| |linearAssociatedOrder| + |unitNormalize| |unitsColorDefault| |common| |backOldPos| + |matrixDimensions| |f07fdf| |gramschmidt| |definingPolynomial| + |leftDiscriminant| |redPol| |imagj| |conjugates| |s17acf| |script| + |contains?| |deleteProperty!| |scaleRoots| |swapColumns!| + |OMgetEndApp| |fprindINFO| |resultantReduitEuclidean| |trace2PowMod| + |fortranLiteral| |badNum| |integralCoordinates| |title| + |companionBlocks| |extendIfCan| |constantCoefficientRicDE| + |cyclotomic| |readInt8!| |mainValue| |build| |iCompose| + |fortranCharacter| |bitCoef| |lfinfieldint| |scalarMatrix| |gethi| + |lifting1| |left| |vector| |c06fuf| |f01maf| |shallowExpand| |s19acf| + |OMconnOutDevice| |tex| |s15adf| |outerProduct| |f02awf| |s17aef| + |lfextlimint| |Ei| |right| |differentiate| |squareFreePrim| + |buildSyntax| |bottom!| |calcRanges| |internal?| |e| |rightLcm| + |indicialEquation| |newLine| |BumInSepFFE| |dequeue| |leadingIdeal| + |block| |just| |antiAssociative?| |linearDependence| |f02agf| + |semiIndiceSubResultantEuclidean| |iterationVar| |f02fjf| |tanhIfCan| + |iidsum| |isEquiv| |brillhartTrials| |rightFactorIfCan| + |factorOfDegree| |indicialEquationAtInfinity| |high| + |mainDefiningPolynomial| |irDef| |oddInfiniteProduct| |mapDown!| + |subNodeOf?| |wronskianMatrix| |asinIfCan| |swap!| |outputBinaryFile| + |pr2dmp| |orbit| |maxIndex| |f04maf| |unparse| + |semiResultantEuclidean2| |generators| |linearDependenceOverZ| + |iicosh| |dimensionOfIrreducibleRepresentation| + |integralMatrixAtInfinity| |sturmSequence| |Aleph| |kmax| + |splitConstant| |primextendedint| |zerosOf| |inf| |powmod| + |leftRemainder| |irVar| |moebiusMu| |shift| |outputArgs| |members| + |over| |clearTable!| |any| |rightMinimalPolynomial| |coleman| |hash| + |e04ucf| |generic?| |corrPoly| |s13aaf| |doubleRank| |unit?| + |palgextint0| |bat1| |count| |pmintegrate| |s13adf| |normalizedDivide| + |initializeGroupForWordProblem| |next| |lazyIrreducibleFactors| + |internalIntegrate| |approximants| |leftExtendedGcd| |tablePow| + |coefChoose| |limitedIntegrate| |intPatternMatch| + |basisOfRightNucloid| |outputAsScript| |lex| |rowEch| |satisfy?| + |interReduce| |overlabel| |selectFiniteRoutines| |imagK| |airyBi| + |mvar| |algebraicCoefficients?| |logical?| |nary?| |s13acf| + |hasPredicate?| |child?| |d03eef| |mightHaveRoots| |symbol| |neglist| + |tubePointsDefault| |ratPoly| |setIntersection| |e02zaf| |rootPower| + |ipow| |imagI| |interpolate| |internalIntegrate0| |virtualDegree| + |expression| |range| |nextColeman| |unit| |c06frf| |squareFree| + |partialFraction| |putProperty| |fixedPointExquo| |s21bdf| |overset?| + |integer| |iiacosh| |flagFactor| |inrootof| |quatern| |nextPartition| + |parabolic| |null?| |setLabelValue| |linear| |exprHasAlgebraicWeight| + |atom?| |f2df| |OMconnInDevice| |ptFunc| |isExpt| |dihedral| + |extractProperty| |position!| |youngDiagram| |mix| |viewpoint| + |myDegree| |rightFactorCandidate| |decreasePrecision| |tanh2coth| + |radicalEigenvector| |pascalTriangle| |middle| |replace| |polynomial| + |idealiserMatrix| |makeop| |setPredicates| |monomRDE| |rightNorm| + |eulerPhi| |headAst| |scopes| |sin?| |diagonals| |iFTable| + |scanOneDimSubspaces| |iidprod| |dictionary| |tRange| |generalLambert| + |ode1| |eisensteinIrreducible?| |erf| |setsubMatrix!| |result| + |denomRicDE| |secIfCan| |lastSubResultantElseSplit| |iiacos| + |mainKernel| |multiEuclideanTree| |f2st| |li| |removeSinSq| |s17agf| + |hue| |trigs| |string?| |pseudoDivide| |sechIfCan| |argumentList!| + |badValues| |getGraph| |complexEigenvalues| |stack| |setRow!| + |sech2cosh| |clipSurface| |tower| |e02dcf| |insertRoot!| + |mapExponents| |leftTraceMatrix| |radix| |SturmHabichtMultiple| + |newSubProgram| |lagrange| |monomial?| |digit| |getStream| + |OMencodingUnknown| |sinh2csch| |bandedJacobian| |c05adf| |listLoops| + |rewriteIdealWithQuasiMonicGenerators| |generalPosition| |d01asf| + |leftQuotient| |aCubic| |integralMatrix| |wholeRagits| + |uncouplingMatrices| |s01eaf| |elaborateFile| |distribute| + |eigenvectors| |finite?| |cyclePartition| |eq| |sample| |alphanumeric| + |component| |linearPart| |rischDE| |changeNameToObjf| |iter| + |gradient| |dim| |getMatch| |numberOfComponents| |squareFreePart| + |length| |cSech| |csubst| |readBytes!| |idealiser| |callForm?| + |degreeSubResultantEuclidean| |integers| |complexNumeric| |degree| + |rk4| |step| |scripts| |expint| |clearDenominator| |rationalFunction| + |addMatch| |solve1| |eigenMatrix| |elliptic| |predicates| + |radicalSolve| |concat| |pToHdmp| |member?| |freeOf?| |rationalPoint?| + |test| |setRealSteps| |kernels| |leftFactor| |returnTypeOf| + |linearMatrix| |explicitlyFinite?| |groebgen| |univariateSolve| + |charthRoot| |components| |operator| |point?| |merge| + |numberOfFactors| |setEmpty!| |oddintegers| |OMgetEndObject| + |atanhIfCan| |outputSpacing| |nonQsign| |frobenius| |collectUnder| + |subset?| |d03faf| |scale| |highCommonTerms| |comparison| + |lfintegrate| |less?| |univariate| |diff| |cot2trig| + |monicCompleteDecompose| |monicRightFactorIfCan| |symbolIfCan| + |eigenvector| |supRittWu?| |setPosition| |modifyPointData| + |categoryMode| |nilFactor| |failed?| |reducedForm| |elseBranch| |back| + |autoReduced?| |zeroOf| |subResultantChain| |dflist| + |brillhartIrreducible?| |vertConcat| |integralAtInfinity?| |prefix| + |resetAttributeButtons| |exp1| |horizConcat| |factor| |argumentListOf| + |getVariableOrder| |coerceImages| |minPoly| |monicRightDivide| |bit?| + |alphabetic| |jordanAdmissible?| |randomR| |sqrt| |lepol| |hspace| + |symbol?| |BasicMethod| |algintegrate| |factorsOfDegree| |OMgetBVar| + |relerror| |writeUInt8!| |real| |floor| |Lazard2| |outputForm| + |getProperties| |setOrder| |stoseInvertible?| |decomposeFunc| + |ip4Address| |laguerreL| |imag| |declare| |addMatchRestricted| + |trigs2explogs| |patternMatchTimes| |stop| |UP2ifCan| |makeGraphImage| + |insertBottom!| |UpTriBddDenomInv| |totalDifferential| + |regularRepresentation| |directProduct| |edf2efi| + |lazyPremWithDefault| |branchIfCan| |thenBranch| |mr| + |nextIrreduciblePoly| |minIndex| |OMreceive| |node?| + |stopTableInvSet!| |f01ref| |prologue| |powerAssociative?| + |associative?| |meshPar2Var| SEGMENT UP2UTS |positiveRemainder| + |henselFact| |brace| |kind| |userOrdered?| |blankSeparate| + |extractPoint| |tanQ| |computeInt| |minimalPolynomial| |edf2ef| + |linGenPos| |categories| |Ci| |destruct| |lieAlgebra?| |setOfMinN| + |op| |crushedSet| |hMonic| |iicsch| |mantissa| |drawCurves| |totolex| + |depth| |printCode| |padicallyExpand| |wholePart| + |modularGcdPrimitive| |mulmod| |purelyAlgebraic?| + |setAttributeButtonStep| |typeForm| |maxPoints3D| |rotate| |prinb| + |pushNewContour| |times!| |select!| |intensity| |pushdown| + |skewSFunction| |level| |extension| |fill!| |palgRDE0| |setStatus!| + |writeLine!| |quotientByP| |dark| |palglimint0| |fractRadix| + |compactFraction| |clearTheSymbolTable| |elRow1!| |makeFloatFunction| + |monomial| |f04jgf| |df2ef| |firstNumer| |s17dhf| |copyInto!| + |identity| |safeFloor| |domainTemplate| |OMgetEndAttr| |multivariate| + |nullSpace| |clipPointsDefault| |birth| |linearAssociatedExp| |pToDmp| + |lookupFunction| |wrregime| |arbitrary| |squareFreeLexTriangular| + |variables| |var1Steps| |OMUnknownSymbol?| |changeBase| |union| + |acothIfCan| |createPrimitivePoly| |d01fcf| |direction| |OMgetType| + |acoshIfCan| |debug3D| |Nul| |isAbsolutelyIrreducible?| |patternMatch| + |front| |space| |pushdterm| |mkPrim| |numberOfFractionalTerms| + |normalize| |ParCond| |inverse| |lowerCase?| |computeBasis| + |removeCosSq| |evenlambert| |solid| |lexico| |tanh2trigh| |mapExpon| + |stoseInvertibleSet| |isobaric?| |hex| |lowerPolynomial| |aQuartic| + |basisOfNucleus| |identityMatrix| |rightPower| + |removeRoughlyRedundantFactorsInContents| |midpoint| |categoryFrame| + |inputOutputBinaryFile| |rangePascalTriangle| |gensym| |imaginary| + |univariatePolynomial| |taylor| |rischNormalize| |comp| + |leftExactQuotient| |youngGroup| |typeList| |setref| + |genericRightNorm| |palgLODE| |vark| |simpson| |laurent| + |relationsIdeal| |nextSubsetGray| |blue| |call| |applyRules| + |expressIdealMember| |deepCopy| |semiSubResultantGcdEuclidean1| + |collectUpper| |reverse| |puiseux| |lazyEvaluate| |cyclicSubmodule| + |karatsuba| |lazyResidueClass| |e02def| |finiteBasis| |quadraticNorm| + |homogeneous?| |symmetric?| |unprotectedRemoveRedundantFactors| + |noLinearFactor?| |kovacic| |nil| |infinite| |arbitraryExponent| + |approximate| |complex| |shallowMutable| |canonical| |noetherian| + |central| |partiallyOrderedSet| |arbitraryPrecision| + |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| + |additiveValuation| |unitsKnown| |canonicalUnitNormal| + |multiplicativeValuation| |finiteAggregate| |shallowlyMutable| + |commutative|)
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T) ((-102) |has| |#1| (-1119)) ((-625 (-874)) -3739 (|has| |#1| (-1119)) (|has| |#1| (-625 (-874)))) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119))) ((-501 |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119))) ((-1119) |has| |#1| (-1119)) ((-1237) . T)) -((-4244 (((-59 |#2|) (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|) 16)) (-2326 ((|#2| (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|) 18)) (-2548 (((-59 |#2|) (-1 |#2| |#1|) (-59 |#1|)) 13))) -(((-58 |#1| |#2|) (-10 -7 (-15 -4244 ((-59 |#2|) (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -2326 (|#2| (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -2548 ((-59 |#2|) (-1 |#2| |#1|) (-59 |#1|)))) (-1237) (-1237)) (T -58)) -((-2548 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-59 *5)) (-4 *5 (-1237)) (-4 *6 (-1237)) (-5 *2 (-59 *6)) (-5 *1 (-58 *5 *6)))) (-2326 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-59 *5)) (-4 *5 (-1237)) (-4 *2 (-1237)) (-5 *1 (-58 *5 *2)))) (-4244 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-59 *6)) (-4 *6 (-1237)) (-4 *5 (-1237)) (-5 *2 (-59 *5)) (-5 *1 (-58 *6 *5))))) -(-10 -7 (-15 -4244 ((-59 |#2|) (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -2326 (|#2| (-1 |#2| |#1| |#2|) (-59 |#1|) |#2|)) (-15 -2548 ((-59 |#2|) (-1 |#2| |#1|) (-59 |#1|)))) -((-2835 (((-112) $ $) NIL 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(-12 (-5 *2 (-656 *3)) (-4 *3 (-1237)) (-5 *1 (-59 *3)))) (-4130 (*1 *1 *2 *3) (-12 (-5 *2 (-783)) (-5 *1 (-59 *3)) (-4 *3 (-1237))))) -(-13 (-19 |#1|) (-10 -8 (-15 -4130 ($ (-656 |#1|))) (-15 -4130 ($ (-783) |#1|)))) -((-2835 (((-112) $ $) NIL (|has| |#1| (-1119)))) (-2746 (((-112) $ (-783)) NIL)) (-3028 ((|#1| $ (-576) (-576) |#1|) NIL)) (-3029 (($ $ (-576) (-59 |#1|)) NIL)) (-4405 (($ $ (-576) (-59 |#1|)) NIL)) (-2574 (($) NIL T CONST)) (-3475 (((-59 |#1|) $ (-576)) NIL)) (-2832 ((|#1| $ (-576) (-576) |#1|) NIL)) (-2767 ((|#1| $ (-576) (-576)) NIL)) (-3975 (((-656 |#1|) $) NIL)) (-4227 (((-783) $) NIL)) (-2327 (($ (-783) (-783) |#1|) NIL)) (-4240 (((-783) $) NIL)) (-3639 (((-112) $ (-783)) NIL)) (-2923 (((-576) $) NIL)) (-1637 (((-576) $) NIL)) (-3531 (((-656 |#1|) $) NIL (|has| $ (-6 -4462)))) (-3606 (((-112) |#1| $) NIL (-12 (|has| $ (-6 -4462)) (|has| |#1| (-1119))))) (-3698 (((-576) $) NIL)) (-2171 (((-576) $) NIL)) (-2822 (($ (-1 |#1| |#1|) $) NIL)) (-2548 (($ (-1 |#1| |#1|) $) 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T) ((-234 $) -3739 (|has| |#1| (-360)) (|has| |#1| (-237)) (|has| |#1| (-238))) ((-232 |#1|) . T) ((-238) -3739 (|has| |#1| (-360)) (|has| |#1| (-238))) ((-237) -3739 (|has| |#1| (-360)) (|has| |#1| (-237)) (|has| |#1| (-238))) ((-272 |#1|) . T) ((-248) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-294) |has| |#1| (-1222)) ((-296 |#1| $) |has| |#1| (-296 |#1| |#1|)) ((-300) -3739 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-317) -3739 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-319 |#1|) |has| |#1| (-319 |#1|)) ((-374) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-414) |has| |#1| (-360)) ((-379) -3739 (|has| |#1| (-379)) (|has| |#1| (-360))) ((-360) |has| |#1| (-360)) ((-381 |#1| #1#) . T) ((-421 |#1| #1#) . T) ((-349 |#1|) . T) ((-388 |#1|) . T) ((-412 |#1|) . T) ((-423 |#1|) . T) ((-464) -3739 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-505) |has| |#1| (-1222)) ((-526 (-1196) |#1|) |has| |#1| (-526 (-1196) |#1|)) ((-526 |#1| |#1|) |has| |#1| (-319 |#1|)) ((-568) -3739 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-658 #0#) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-660 #2=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-652 |#1|) . T) ((-652 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-651 #2#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-729 |#1|) . T) ((-729 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-736 |#1| #1#) . T) ((-738) . T) ((-909 $ #3=(-1196)) -3739 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-915 (-1196)) |has| |#1| (-915 (-1196))) ((-917 #3#) -3739 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-899 (-390)) |has| |#1| (-899 (-390))) ((-899 (-576)) |has| |#1| (-899 (-576))) ((-897 |#1|) . T) ((-926) -12 (|has| |#1| (-317)) (|has| |#1| (-926))) ((-937) -3739 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-1021) -12 (|has| |#1| (-1021)) (|has| |#1| (-1222))) ((-1057 (-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 |#1|) . T) ((-1070 #0#) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1070 |#1|) . T) ((-1070 $) . T) ((-1075 #0#) -3739 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1075 |#1|) . T) ((-1075 $) . T) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) |has| |#1| (-360)) ((-1222) |has| |#1| (-1222)) ((-1225) |has| |#1| (-1222)) ((-1237) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-419 (-576))) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-38 |#1|) . T) ((-38 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-35) |has| |#1| (-1222)) ((-95) |has| |#1| (-1222)) ((-102) . T) ((-111 #0# #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-132) . T) ((-146) -2825 (|has| |#1| (-360)) (|has| |#1| (-146))) ((-148) |has| |#1| (-148)) ((-628 #0#) -2825 (|has| |#1| (-1057 (-419 (-576)))) (|has| |#1| (-360)) (|has| |#1| (-374))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-625 (-874)) . T) ((-174) . T) ((-626 (-171 (-227))) |has| |#1| (-1041)) ((-626 (-171 (-390))) |has| |#1| (-1041)) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-905 (-390))) |has| |#1| (-626 (-905 (-390)))) ((-626 (-905 (-576))) |has| |#1| (-626 (-905 (-576)))) ((-626 #1=(-1192 |#1|)) . T) ((-234 $) -2825 (|has| |#1| (-360)) (|has| |#1| (-237)) (|has| |#1| (-238))) ((-232 |#1|) . T) ((-238) -2825 (|has| |#1| (-360)) (|has| |#1| (-238))) ((-237) -2825 (|has| |#1| (-360)) (|has| |#1| (-237)) (|has| |#1| (-238))) ((-272 |#1|) . T) ((-248) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-294) |has| |#1| (-1222)) ((-296 |#1| $) |has| |#1| (-296 |#1| |#1|)) ((-300) -2825 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-317) -2825 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-319 |#1|) |has| |#1| (-319 |#1|)) ((-374) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-414) |has| |#1| (-360)) ((-379) -2825 (|has| |#1| (-379)) (|has| |#1| (-360))) ((-360) |has| |#1| (-360)) ((-381 |#1| #1#) . T) ((-421 |#1| #1#) . T) ((-349 |#1|) . T) ((-388 |#1|) . T) ((-412 |#1|) . T) ((-423 |#1|) . T) ((-464) -2825 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-505) |has| |#1| (-1222)) ((-526 (-1196) |#1|) |has| |#1| (-526 (-1196) |#1|)) ((-526 |#1| |#1|) |has| |#1| (-319 |#1|)) ((-568) -2825 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-658 #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-660 #2=(-576)) |has| |#1| (-651 (-576))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-652 |#1|) . T) ((-652 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-651 #2#) |has| |#1| (-651 (-576))) ((-651 |#1|) . T) ((-729 #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-729 |#1|) . T) ((-729 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-736 |#1| #1#) . T) ((-738) . T) ((-909 $ #3=(-1196)) -2825 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-915 (-1196)) |has| |#1| (-915 (-1196))) ((-917 #3#) -2825 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-899 (-390)) |has| |#1| (-899 (-390))) ((-899 (-576)) |has| |#1| (-899 (-576))) ((-897 |#1|) . T) ((-926) -12 (|has| |#1| (-317)) (|has| |#1| (-926))) ((-937) -2825 (|has| |#1| (-360)) (|has| |#1| (-374)) (|has| |#1| (-317))) ((-1021) -12 (|has| |#1| (-1021)) (|has| |#1| (-1222))) ((-1057 (-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 |#1|) . T) ((-1070 #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1070 |#1|) . T) ((-1070 $) . T) ((-1075 #0#) -2825 (|has| |#1| (-360)) (|has| |#1| (-374))) ((-1075 |#1|) . T) ((-1075 $) . T) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) |has| |#1| (-360)) ((-1222) |has| |#1| (-1222)) ((-1225) |has| |#1| (-1222)) ((-1237) . 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T) ((-102) -3739 (|has| |#2| (-1119)) (|has| |#2| (-1068)) (|has| |#2| (-862)) (|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))) ((-111 |#2| |#2|) -3739 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-132) -3739 (|has| |#2| (-1068)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-21))) ((-628 #0=(-419 (-576))) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119))) ((-628 (-576)) -3739 (|has| |#2| (-1068)) (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119)))) ((-628 |#2|) |has| |#2| (-1119)) ((-625 (-874)) -3739 (|has| |#2| (-1119)) (|has| |#2| (-1068)) (|has| |#2| (-862)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-625 (-874))) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-625 (-1287 |#2|)) . T) ((-234 $) -3739 (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1068)))) ((-232 |#2|) |has| |#2| (-1068)) ((-238) -12 (|has| |#2| (-238)) (|has| |#2| (-1068))) ((-237) -3739 (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1068)))) ((-272 |#2|) |has| |#2| (-1068)) ((-296 #1=(-576) |#2|) . T) ((-298 #1# |#2|) . T) ((-319 |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((-379) |has| |#2| (-379)) ((-388 |#2|) |has| |#2| (-1068)) ((-423 |#2|) |has| |#2| (-1119)) ((-501 |#2|) . T) ((-616 #1# |#2|) . T) ((-526 |#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((-658 (-576)) -3739 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-658 |#2|) -3739 (|has| |#2| (-1068)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-658 $) |has| |#2| (-1068)) ((-660 #2=(-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068))) ((-660 |#2|) -3739 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-660 $) |has| |#2| (-1068)) ((-652 |#2|) -3739 (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-651 #2#) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068))) ((-651 |#2|) |has| |#2| (-1068)) ((-729 |#2|) -3739 (|has| |#2| (-374)) (|has| |#2| (-174))) ((-738) |has| |#2| (-1068)) ((-804) |has| |#2| (-805)) ((-805) |has| |#2| (-805)) ((-806) |has| |#2| (-805)) ((-807) |has| |#2| (-805)) ((-862) -3739 (|has| |#2| (-862)) (|has| |#2| (-805))) ((-909 $ #3=(-1196)) -3739 (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068)))) ((-915 (-1196)) -12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068))) ((-917 #3#) -3739 (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068)))) ((-1057 #0#) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119))) ((-1057 (-576)) -12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119))) ((-1057 |#2|) |has| |#2| (-1119)) ((-1070 |#2|) -3739 (|has| |#2| (-1068)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1075 |#2|) -3739 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1068) |has| |#2| (-1068)) ((-1077) |has| |#2| (-1068)) ((-1131) |has| |#2| (-1068)) ((-1119) -3739 (|has| |#2| (-1119)) (|has| |#2| (-1068)) (|has| |#2| (-862)) (|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))) ((-1237) . T) ((-1294 |#2|) |has| |#2| (-374))) -((-4244 (((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 21)) (-2326 ((|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 23)) (-2548 (((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)) 18))) -(((-244 |#1| |#2| |#3|) (-10 -7 (-15 -4244 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2326 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2548 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) (-783) (-1237) (-1237)) (T -244)) -((-2548 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1237)) (-4 *7 (-1237)) (-5 *2 (-245 *5 *7)) (-5 *1 (-244 *5 *6 *7)))) (-2326 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1237)) (-4 *2 (-1237)) (-5 *1 (-244 *5 *6 *2)))) (-4244 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-245 *6 *7)) (-14 *6 (-783)) (-4 *7 (-1237)) (-4 *5 (-1237)) (-5 *2 (-245 *6 *5)) (-5 *1 (-244 *6 *7 *5))))) -(-10 -7 (-15 -4244 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2326 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2548 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) -((-2835 (((-112) $ $) NIL (|has| |#2| (-1119)))) (-3203 (((-112) $) NIL (-3739 (|has| |#2| (-23)) (|has| |#2| (-738))))) (-2002 (($ (-938)) 62 (|has| |#2| (-1068)))) (-3430 (((-1292) $ (-576) (-576)) NIL (|has| $ (-6 -4463)))) (-1869 (($ $ $) 68 (|has| |#2| (-805)))) (-3161 (((-3 $ "failed") $ $) 53 (|has| |#2| (-132)))) (-2746 (((-112) $ (-783)) NIL)) (-2422 (((-783)) NIL (|has| |#2| (-379)))) (-3028 ((|#2| $ (-576) |#2|) NIL (|has| $ (-6 -4463)))) (-2574 (($) NIL T CONST)) (-2454 (((-3 (-576) "failed") $) NIL (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119)))) (((-3 (-419 (-576)) "failed") $) NIL (-12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119)))) (((-3 |#2| "failed") $) 30 (|has| |#2| (-1119)))) (-4397 (((-576) $) NIL (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119)))) (((-419 (-576)) $) NIL (-12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119)))) ((|#2| $) 28 (|has| |#2| (-1119)))) (-2085 (((-701 (-576)) (-1287 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068)))) (((-701 (-576)) (-701 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068)))) (((-2 (|:| -3260 (-701 (-576))) (|:| |vec| (-1287 (-576)))) (-701 $) (-1287 $)) NIL (-12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068)))) (((-2 (|:| -3260 (-701 |#2|)) (|:| |vec| (-1287 |#2|))) (-701 $) (-1287 $)) NIL (|has| |#2| (-1068))) (((-701 |#2|) (-701 $)) NIL (|has| |#2| (-1068))) (((-701 |#2|) (-1287 $)) NIL (|has| |#2| (-1068)))) (-4011 (((-3 $ "failed") $) 58 (|has| |#2| (-1068)))) (-2107 (($) NIL (|has| |#2| (-379)))) (-2832 ((|#2| $ (-576) |#2|) NIL (|has| $ (-6 -4463)))) (-2767 ((|#2| $ (-576)) 56)) (-3975 (((-656 |#2|) $) 14 (|has| $ (-6 -4462)))) (-1838 (((-112) $) NIL (|has| |#2| (-1068)))) (-3639 (((-112) $ (-783)) NIL)) (-2440 (((-576) $) 19 (|has| (-576) (-862)))) (-1950 (($ $ $) NIL (|has| |#2| (-862)))) (-3531 (((-656 |#2|) $) NIL (|has| $ (-6 -4462)))) (-3606 (((-112) |#2| $) NIL (-12 (|has| $ (-6 -4462)) (|has| |#2| (-1119))))) (-4048 (((-576) $) NIL (|has| (-576) (-862)))) (-1492 (($ $ $) NIL (|has| |#2| (-862)))) (-2822 (($ (-1 |#2| |#2|) $) NIL (|has| $ (-6 -4463)))) (-2548 (($ (-1 |#2| |#2|) $) NIL)) (-1654 (((-938) $) NIL (|has| |#2| (-379)))) (-1684 (((-112) $ (-783)) NIL)) (-2143 (((-1178) $) NIL (|has| |#2| (-1119)))) (-2928 (((-656 (-576)) $) NIL)) (-1449 (((-112) (-576) $) NIL)) (-4308 (($ (-938)) NIL (|has| |#2| (-379)))) (-3887 (((-1139) $) NIL (|has| |#2| (-1119)))) (-1989 ((|#2| $) NIL (|has| (-576) (-862)))) (-4040 (($ $ |#2|) NIL (|has| $ (-6 -4463)))) (-1910 (((-112) (-1 (-112) |#2|) $) 23 (|has| $ (-6 -4462)))) (-3022 (($ $ (-656 (-304 |#2|))) NIL (-12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) (($ $ (-304 |#2|)) NIL (-12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) (($ $ |#2| |#2|) NIL (-12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119)))) (($ $ (-656 |#2|) (-656 |#2|)) NIL (-12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))))) (-1974 (((-112) $ $) NIL)) (-4317 (((-112) |#2| $) NIL (-12 (|has| $ (-6 -4462)) (|has| |#2| (-1119))))) (-3584 (((-656 |#2|) $) NIL)) (-3001 (((-112) $) NIL)) (-3849 (($) NIL)) (-2099 ((|#2| $ (-576) |#2|) NIL) ((|#2| $ (-576)) 20)) (-2139 ((|#2| $ $) NIL (|has| |#2| (-1068)))) (-2009 (($ (-1287 |#2|)) 17)) (-4340 (((-135)) NIL (|has| |#2| (-374)))) (-2399 (($ $ (-783)) NIL (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) (($ $) NIL (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) (($ $ (-656 (-1196)) (-656 (-783))) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-1196) (-783)) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-656 (-1196))) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-1196)) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-1 |#2| |#2|)) NIL (|has| |#2| (-1068))) (($ $ (-1 |#2| |#2|) (-783)) NIL (|has| |#2| (-1068)))) (-3902 (((-783) (-1 (-112) |#2|) $) NIL (|has| $ (-6 -4462))) (((-783) |#2| $) NIL (-12 (|has| $ (-6 -4462)) (|has| |#2| (-1119))))) (-3052 (($ $) NIL)) (-2858 (((-1287 |#2|) $) 9) (($ (-576)) NIL (-3739 (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119))) (|has| |#2| (-1068)))) (($ (-419 (-576))) NIL (-12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119)))) (($ |#2|) 12 (|has| |#2| (-1119))) (((-874) $) NIL (|has| |#2| (-625 (-874))))) (-2981 (((-783)) NIL (|has| |#2| (-1068)) CONST)) (-2690 (((-112) $ $) NIL (|has| |#2| (-1119)))) (-2714 (((-112) (-1 (-112) |#2|) $) NIL (|has| $ (-6 -4462)))) (-2022 (($) 36 (-3739 (|has| |#2| (-23)) (|has| |#2| (-738))) CONST)) (-2038 (($) 40 (|has| |#2| (-1068)) CONST)) (-3404 (($ $ (-783)) NIL (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) (($ $) NIL (-12 (|has| |#2| (-237)) (|has| |#2| (-1068)))) (($ $ (-656 (-1196)) (-656 (-783))) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-1196) (-783)) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-656 (-1196))) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-1196)) NIL (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068)))) (($ $ (-1 |#2| |#2|)) NIL (|has| |#2| (-1068))) (($ $ (-1 |#2| |#2|) (-783)) NIL (|has| |#2| (-1068)))) (-3956 (((-112) $ $) NIL (|has| |#2| (-862)))) (-3930 (((-112) $ $) NIL (|has| |#2| (-862)))) (-3889 (((-112) $ $) 27 (|has| |#2| (-1119)))) (-3944 (((-112) $ $) NIL (|has| |#2| (-862)))) (-3916 (((-112) $ $) 66 (|has| |#2| (-862)))) (-4013 (($ $ |#2|) NIL (|has| |#2| (-374)))) (-4002 (($ $ $) NIL (|has| |#2| (-21))) (($ $) NIL (|has| |#2| (-21)))) (-3990 (($ $ $) 34 (|has| |#2| (-25)))) (** (($ $ (-783)) NIL (|has| |#2| (-1068))) (($ $ (-938)) NIL (|has| |#2| (-1068)))) (* (($ $ $) 46 (|has| |#2| (-1068))) (($ $ |#2|) 44 (|has| |#2| (-738))) (($ |#2| $) 45 (|has| |#2| (-738))) (($ (-576) $) NIL (|has| |#2| (-21))) (($ (-783) $) NIL (|has| |#2| (-23))) (($ (-938) $) NIL (|has| |#2| (-25)))) (-2845 (((-783) $) NIL (|has| $ (-6 -4462))))) +((-4267 (*1 *1 *2) (-12 (-5 *2 (-1287 *4)) (-4 *4 (-1237)) (-4 *1 (-243 *3 *4)))) (-3033 (*1 *1 *2) (-12 (-5 *2 (-938)) (-4 *1 (-243 *3 *4)) (-4 *4 (-1068)) (-4 *4 (-1237)))) (-1571 (*1 *2 *1 *1) (-12 (-4 *1 (-243 *3 *2)) (-4 *2 (-1237)) (-4 *2 (-1068))))) +(-13 (-616 (-576) |t#2|) (-625 (-1287 |t#2|)) (-10 -8 (-6 -4462) (-15 -4267 ($ (-1287 |t#2|))) (IF (|has| |t#2| (-1119)) (-6 (-423 |t#2|)) |%noBranch|) (IF (|has| |t#2| (-1068)) (PROGN (-6 (-111 |t#2| |t#2|)) (-6 (-232 |t#2|)) (-6 (-388 |t#2|)) (-15 -3033 ($ (-938))) (-15 -1571 (|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 -4459)) (-6 -4459) |%noBranch|) (IF (|has| |t#2| (-862)) (-6 (-862)) |%noBranch|) (IF (|has| |t#2| (-805)) (-6 (-805)) |%noBranch|) (IF (|has| |t#2| (-374)) (-6 (-1294 |t#2|)) |%noBranch|))) +(((-21) -2825 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-23) -2825 (|has| |#2| (-1068)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-25) -2825 (|has| |#2| (-1068)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-34) . T) ((-102) -2825 (|has| |#2| (-1119)) (|has| |#2| (-1068)) (|has| |#2| (-862)) (|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))) ((-111 |#2| |#2|) -2825 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-132) -2825 (|has| |#2| (-1068)) (|has| |#2| (-805)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-132)) (|has| |#2| (-21))) ((-628 #0=(-419 (-576))) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119))) ((-628 (-576)) -2825 (|has| |#2| (-1068)) (-12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119)))) ((-628 |#2|) |has| |#2| (-1119)) ((-625 (-874)) -2825 (|has| |#2| (-1119)) (|has| |#2| (-1068)) (|has| |#2| (-862)) (|has| |#2| (-805)) (|has| |#2| (-738)) (|has| |#2| (-379)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-625 (-874))) (|has| |#2| (-132)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-625 (-1287 |#2|)) . T) ((-234 $) -2825 (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1068)))) ((-232 |#2|) |has| |#2| (-1068)) ((-238) -12 (|has| |#2| (-238)) (|has| |#2| (-1068))) ((-237) -2825 (-12 (|has| |#2| (-237)) (|has| |#2| (-1068))) (-12 (|has| |#2| (-238)) (|has| |#2| (-1068)))) ((-272 |#2|) |has| |#2| (-1068)) ((-296 #1=(-576) |#2|) . T) ((-298 #1# |#2|) . T) ((-319 |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((-379) |has| |#2| (-379)) ((-388 |#2|) |has| |#2| (-1068)) ((-423 |#2|) |has| |#2| (-1119)) ((-501 |#2|) . T) ((-616 #1# |#2|) . T) ((-526 |#2| |#2|) -12 (|has| |#2| (-319 |#2|)) (|has| |#2| (-1119))) ((-658 (-576)) -2825 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174)) (|has| |#2| (-21))) ((-658 |#2|) -2825 (|has| |#2| (-1068)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-658 $) |has| |#2| (-1068)) ((-660 #2=(-576)) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068))) ((-660 |#2|) -2825 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-660 $) |has| |#2| (-1068)) ((-652 |#2|) -2825 (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-651 #2#) -12 (|has| |#2| (-651 (-576))) (|has| |#2| (-1068))) ((-651 |#2|) |has| |#2| (-1068)) ((-729 |#2|) -2825 (|has| |#2| (-374)) (|has| |#2| (-174))) ((-738) |has| |#2| (-1068)) ((-804) |has| |#2| (-805)) ((-805) |has| |#2| (-805)) ((-806) |has| |#2| (-805)) ((-807) |has| |#2| (-805)) ((-862) -2825 (|has| |#2| (-862)) (|has| |#2| (-805))) ((-909 $ #3=(-1196)) -2825 (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068)))) ((-915 (-1196)) -12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068))) ((-917 #3#) -2825 (-12 (|has| |#2| (-917 (-1196))) (|has| |#2| (-1068))) (-12 (|has| |#2| (-915 (-1196))) (|has| |#2| (-1068)))) ((-1057 #0#) -12 (|has| |#2| (-1057 (-419 (-576)))) (|has| |#2| (-1119))) ((-1057 (-576)) -12 (|has| |#2| (-1057 (-576))) (|has| |#2| (-1119))) ((-1057 |#2|) |has| |#2| (-1119)) ((-1070 |#2|) -2825 (|has| |#2| (-1068)) (|has| |#2| (-738)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1075 |#2|) -2825 (|has| |#2| (-1068)) (|has| |#2| (-374)) (|has| |#2| (-174))) ((-1068) |has| |#2| (-1068)) ((-1077) |has| |#2| (-1068)) ((-1131) |has| |#2| (-1068)) ((-1119) -2825 (|has| |#2| (-1119)) (|has| |#2| (-1068)) (|has| |#2| (-862)) (|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))) ((-1237) . T) ((-1294 |#2|) |has| |#2| (-374))) +((-2853 (((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 21)) (-2870 ((|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|) 23)) (-1802 (((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)) 18))) +(((-244 |#1| |#2| |#3|) (-10 -7 (-15 -2853 ((-245 |#1| |#3|) (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -2870 (|#3| (-1 |#3| |#2| |#3|) (-245 |#1| |#2|) |#3|)) (-15 -1802 ((-245 |#1| |#3|) (-1 |#3| |#2|) (-245 |#1| |#2|)))) (-783) (-1237) (-1237)) (T -244)) +((-1802 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1237)) (-4 *7 (-1237)) (-5 *2 (-245 *5 *7)) (-5 *1 (-244 *5 *6 *7)))) (-2870 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-245 *5 *6)) (-14 *5 (-783)) (-4 *6 (-1237)) (-4 *2 (-1237)) (-5 *1 (-244 *5 *6 *2)))) (-2853 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-245 *6 *7)) (-14 *6 (-783)) (-4 *7 (-1237)) (-4 *5 (-1237)) (-5 *2 (-245 *6 *5)) (-5 *1 (-244 *6 *7 *5))))) +(-10 -7 (-15 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T) ((-568) -3739 (|has| |#1| (-926)) (|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 $) -3739 (|has| |#1| (-926)) (|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 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-738) . T) ((-909 $ #2=(-1196)) -3739 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-909 $ |#3|) . T) ((-915 (-1196)) |has| |#1| (-915 (-1196))) ((-915 |#3|) . T) ((-917 #2#) -3739 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-917 |#3|) . T) ((-899 (-390)) -12 (|has| |#1| (-899 (-390))) (|has| |#3| (-899 (-390)))) ((-899 (-576)) -12 (|has| |#1| (-899 (-576))) (|has| |#3| (-899 (-576)))) ((-966 |#1| |#4| |#3|) . T) ((-926) |has| |#1| (-926)) ((-1057 (-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 |#1|) . T) ((-1057 |#2|) . T) ((-1057 |#3|) . T) ((-1070 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1070 |#1|) . T) ((-1070 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1075 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1075 |#1|) . T) ((-1075 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1237) . T) ((-1241) |has| |#1| (-926))) -((-2835 (((-112) $ $) 19 (|has| |#1| (-1119)))) (-1489 ((|#1| $) 55)) (-2039 ((|#1| $) 45)) (-2746 (((-112) $ (-783)) 8)) (-2574 (($) 7 T CONST)) (-3296 (($ $) 61)) (-2338 (($ $) 49)) (-4398 ((|#1| |#1| $) 47)) (-1748 ((|#1| $) 46)) (-3975 (((-656 |#1|) $) 31 (|has| $ (-6 -4462)))) (-3639 (((-112) $ (-783)) 9)) (-3531 (((-656 |#1|) $) 30 (|has| $ (-6 -4462)))) (-3606 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1119)) (|has| $ (-6 -4462))))) (-2822 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4463)))) (-2548 (($ (-1 |#1| |#1|) $) 36)) (-1684 (((-112) $ (-783)) 10)) (-1873 (((-783) $) 62)) (-2143 (((-1178) $) 22 (|has| |#1| (-1119)))) (-2395 ((|#1| $) 40)) (-3629 ((|#1| |#1| $) 53)) (-3690 ((|#1| |#1| $) 52)) (-2329 (($ |#1| $) 41)) (-3317 (((-783) $) 56)) (-3887 (((-1139) $) 21 (|has| |#1| (-1119)))) (-2833 ((|#1| $) 63)) (-4073 ((|#1| $) 51)) (-1641 ((|#1| $) 50)) (-3079 ((|#1| $) 42)) (-1910 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4462)))) (-3022 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119))))) (-1974 (((-112) $ $) 14)) (-3496 ((|#1| |#1| $) 59)) (-3001 (((-112) $) 11)) (-3849 (($) 12)) (-2280 ((|#1| $) 60)) (-3635 (($) 58) (($ (-656 |#1|)) 57)) (-3297 (((-783) $) 44)) (-3902 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4462))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1119)) (|has| $ (-6 -4462))))) (-3052 (($ $) 13)) (-2858 (((-874) $) 18 (|has| |#1| (-625 (-874))))) (-1742 ((|#1| $) 54)) (-2690 (((-112) $ $) 23 (|has| |#1| (-1119)))) (-3195 (($ (-656 |#1|)) 43)) (-4170 ((|#1| $) 64)) (-2714 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4462)))) (-3889 (((-112) $ $) 20 (|has| |#1| (-1119)))) (-2845 (((-783) $) 6 (|has| $ (-6 -4462))))) +((-1908 (*1 *2 *3) (-12 (-4 *4 (-1068)) (-4 *3 (-862)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *4 *3 *5 *6)))) (-1855 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-656 *4)))) (-2790 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1068)) (-4 *3 (-862)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) (-2790 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783)))) (-4150 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1068)) (-4 *3 (-862)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) (-1526 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-656 (-783))))) (-1886 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-783)))) (-1526 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1068)) (-4 *3 (-862)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-656 (-783))))) (-1886 (*1 *2 *1 *3) (-12 (-4 *1 (-260 *4 *3 *5 *6)) (-4 *4 (-1068)) (-4 *3 (-862)) (-4 *5 (-275 *3)) (-4 *6 (-805)) (-5 *2 (-783)))) (-4393 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *5 *6)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-112)))) (-3672 (*1 *2 *1) (-12 (-4 *1 (-260 *3 *4 *2 *5)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-805)) (-4 *2 (-275 *4)))) (-2614 (*1 *1 *1) (-12 (-4 *1 (-260 *2 *3 *4 *5)) (-4 *2 (-1068)) (-4 *3 (-862)) (-4 *4 (-275 *3)) (-4 *5 (-805)))) (-3686 (*1 *1 *1) (-12 (-4 *1 (-260 *2 *3 *4 *5)) (-4 *2 (-1068)) (-4 *3 (-862)) (-4 *4 (-275 *3)) (-4 *5 (-805)))) (-1908 (*1 *2 *1) (-12 (-4 *3 (-238)) (-4 *3 (-1068)) (-4 *4 (-862)) (-4 *5 (-275 *4)) (-4 *6 (-805)) (-5 *2 (-1 *1 (-783))) (-4 *1 (-260 *3 *4 *5 *6))))) +(-13 (-966 |t#1| |t#4| |t#3|) (-232 |t#1|) (-1057 |t#2|) (-10 -8 (-15 -1908 ((-1 $ (-783)) |t#2|)) (-15 -1855 ((-656 |t#2|) $)) (-15 -2790 ((-783) $ |t#2|)) (-15 -2790 ((-783) $)) (-15 -4150 ((-783) $ |t#2|)) (-15 -1526 ((-656 (-783)) $)) (-15 -1886 ((-783) $)) (-15 -1526 ((-656 (-783)) $ |t#2|)) (-15 -1886 ((-783) $ |t#2|)) (-15 -4393 ((-112) $)) (-15 -3672 (|t#3| $)) (-15 -2614 ($ $)) (-15 -3686 ($ $)) (IF (|has| |t#1| (-238)) (PROGN (-6 (-526 |t#2| |t#1|)) (-6 (-526 |t#2| $)) (-6 (-319 $)) (-15 -1908 ((-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 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #0#) -2825 (|has| |#1| (-1057 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 |#1|) . T) ((-628 |#2|) . T) ((-628 |#3|) . T) ((-628 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-625 (-874)) . T) ((-174) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| |#1| (-626 (-548))) (|has| |#3| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| |#1| (-626 (-905 (-390)))) (|has| |#3| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| |#1| (-626 (-905 (-576)))) (|has| |#3| (-626 (-905 (-576))))) ((-234 $) -2825 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-232 |#1|) . T) ((-238) |has| |#1| (-238)) ((-237) -2825 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-272 |#1|) . T) ((-300) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-319 $) . T) ((-336 |#1| |#4|) . T) ((-388 |#1|) . T) ((-423 |#1|) . T) ((-464) -2825 (|has| |#1| (-926)) (|has| |#1| (-464))) ((-526 |#2| |#1|) |has| |#1| (-238)) ((-526 |#2| $) |has| |#1| (-238)) ((-526 |#3| |#1|) . T) ((-526 |#3| $) . T) ((-526 $ $) . T) ((-568) -2825 (|has| |#1| (-926)) (|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 $) -2825 (|has| |#1| (-926)) (|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 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464))) ((-738) . T) ((-909 $ #2=(-1196)) -2825 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-909 $ |#3|) . T) ((-915 (-1196)) |has| |#1| (-915 (-1196))) ((-915 |#3|) . T) ((-917 #2#) -2825 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-917 |#3|) . T) ((-899 (-390)) -12 (|has| |#1| (-899 (-390))) (|has| |#3| (-899 (-390)))) ((-899 (-576)) -12 (|has| |#1| (-899 (-576))) (|has| |#3| (-899 (-576)))) ((-966 |#1| |#4| |#3|) . T) ((-926) |has| |#1| (-926)) ((-1057 (-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 |#1|) . T) ((-1057 |#2|) . T) ((-1057 |#3|) . T) ((-1070 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1070 |#1|) . T) ((-1070 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1075 #0#) |has| |#1| (-38 (-419 (-576)))) ((-1075 |#1|) . T) ((-1075 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1237) . T) ((-1241) |has| |#1| (-926))) +((-2854 (((-112) $ $) 19 (|has| |#1| (-1119)))) (-2860 ((|#1| $) 55)) (-2026 ((|#1| $) 45)) (-3243 (((-112) $ (-783)) 8)) (-4129 (($) 7 T CONST)) (-3198 (($ $) 61)) (-2897 (($ $) 49)) (-1615 ((|#1| |#1| $) 47)) (-3334 ((|#1| $) 46)) (-1888 (((-656 |#1|) $) 31 (|has| $ (-6 -4462)))) (-3003 (((-112) $ (-783)) 9)) (-3951 (((-656 |#1|) $) 30 (|has| $ (-6 -4462)))) (-4165 (((-112) |#1| $) 28 (-12 (|has| |#1| (-1119)) (|has| $ (-6 -4462))))) (-2470 (($ (-1 |#1| |#1|) $) 35 (|has| $ (-6 -4463)))) (-1802 (($ (-1 |#1| |#1|) $) 36)) (-4197 (((-112) $ (-783)) 10)) (-4141 (((-783) $) 62)) (-2237 (((-1178) $) 22 (|has| |#1| (-1119)))) (-1821 ((|#1| $) 40)) (-1436 ((|#1| |#1| $) 53)) (-4263 ((|#1| |#1| $) 52)) (-3327 (($ |#1| $) 41)) (-1865 (((-783) $) 56)) (-3957 (((-1139) $) 21 (|has| |#1| (-1119)))) (-4376 ((|#1| $) 63)) (-2377 ((|#1| $) 51)) (-3781 ((|#1| $) 50)) (-1996 ((|#1| $) 42)) (-2996 (((-112) (-1 (-112) |#1|) $) 33 (|has| $ (-6 -4462)))) (-2668 (($ $ (-656 (-304 |#1|))) 27 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (($ $ (-304 |#1|)) 26 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (($ $ |#1| |#1|) 25 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119)))) (($ $ (-656 |#1|) (-656 |#1|)) 24 (-12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119))))) (-3423 (((-112) $ $) 14)) (-2953 ((|#1| |#1| $) 59)) (-3355 (((-112) $) 11)) (-3579 (($) 12)) (-3165 ((|#1| $) 60)) (-3900 (($) 58) (($ (-656 |#1|)) 57)) (-4309 (((-783) $) 44)) (-3966 (((-783) (-1 (-112) |#1|) $) 32 (|has| $ (-6 -4462))) (((-783) |#1| $) 29 (-12 (|has| |#1| (-1119)) (|has| $ (-6 -4462))))) (-3133 (($ $) 13)) (-2933 (((-874) $) 18 (|has| |#1| (-625 (-874))))) (-3892 ((|#1| $) 54)) (-3300 (((-112) $ $) 23 (|has| |#1| (-1119)))) (-3219 (($ (-656 |#1|)) 43)) (-4213 ((|#1| $) 64)) (-3644 (((-112) (-1 (-112) |#1|) $) 34 (|has| $ (-6 -4462)))) (-2966 (((-112) $ $) 20 (|has| |#1| (-1119)))) (-2866 (((-783) $) 6 (|has| $ (-6 -4462))))) (((-261 |#1|) (-141) (-1237)) (T -261)) -((-3635 (*1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-3635 (*1 *1 *2) (-12 (-5 *2 (-656 *3)) (-4 *3 (-1237)) (-4 *1 (-261 *3)))) (-3317 (*1 *2 *1) (-12 (-4 *1 (-261 *3)) (-4 *3 (-1237)) (-5 *2 (-783)))) (-1489 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-1742 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-3629 (*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-3690 (*1 *2 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-4073 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-1641 (*1 *2 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237)))) (-2338 (*1 *1 *1) (-12 (-4 *1 (-261 *2)) (-4 *2 (-1237))))) -(-13 (-1140 |t#1|) (-1014 |t#1|) (-10 -8 (-15 -3635 ($)) (-15 -3635 ($ (-656 |t#1|))) (-15 -3317 ((-783) $)) (-15 -1489 (|t#1| $)) (-15 -1742 (|t#1| $)) (-15 -3629 (|t#1| |t#1| $)) (-15 -3690 (|t#1| |t#1| $)) (-15 -4073 (|t#1| $)) (-15 -1641 (|t#1| $)) (-15 -2338 ($ $)))) -(((-34) . T) ((-107 |#1|) . T) ((-102) |has| |#1| (-1119)) ((-625 (-874)) -3739 (|has| |#1| (-1119)) (|has| |#1| (-625 (-874)))) ((-319 |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119))) ((-501 |#1|) . T) ((-526 |#1| |#1|) -12 (|has| |#1| (-319 |#1|)) (|has| |#1| (-1119))) ((-1014 |#1|) . T) ((-1119) |has| |#1| (-1119)) ((-1140 |#1|) . T) ((-1237) . 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|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| (-1176 (-227))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -4012 (-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"))))))) $)) (-15 -1932 ((-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 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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=(-1196)) |has| |#1| (-1057 (-1196))) ((-628 |#1|) . T) ((-628 $) . T) ((-625 (-874)) . T) ((-174) . T) ((-626 (-227)) |has| |#1| (-1041)) ((-626 (-390)) |has| |#1| (-1041)) ((-626 (-548)) |has| |#1| (-626 (-548))) ((-626 (-905 (-390))) |has| |#1| (-626 (-905 (-390)))) ((-626 (-905 (-576))) |has| |#1| (-626 (-905 (-576)))) ((-234 $) -2825 (|has| |#1| (-237)) (|has| |#1| (-238))) ((-232 |#1|) . T) ((-238) |has| |#1| (-238)) ((-237) -2825 (|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) ((-296 |#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) ((-296 $ $) |has| (-576) (-1131)) ((-300) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) ((-374) |has| |#1| (-374)) ((-349 |#2|) |has| |#1| (-374)) ((-388 |#2|) |has| |#1| (-374)) ((-412 |#2|) |has| |#1| (-374)) ((-464) |has| |#1| (-374)) ((-505) |has| |#1| (-38 (-419 (-576)))) ((-526 (-1196) |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-526 (-1196) |#2|))) ((-526 |#2| |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) ((-568) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-658 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 |#2|) |has| |#1| (-374)) ((-658 $) . T) ((-660 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-660 #3=(-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-660 |#1|) . T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . T) ((-803) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-804) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-806) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-807) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-832) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-860) -12 (|has| |#1| (-374)) (|has| |#2| (-832))) ((-862) -3739 (-12 (|has| |#1| (-374)) (|has| |#2| (-862))) (-12 (|has| |#1| (-374)) (|has| |#2| (-832)))) ((-909 $ #4=(-1196)) -3739 (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1196)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-915 (-1196)))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196))))) ((-915 (-1196)) -3739 (-12 (|has| |#1| (-374)) (|has| |#2| (-915 (-1196)))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196))))) ((-917 #4#) -3739 (-12 (|has| |#1| (-374)) (|has| |#2| (-917 (-1196)))) (-12 (|has| |#1| (-374)) (|has| |#2| (-915 (-1196)))) (-12 (|has| |#1| (-15 * (|#1| (-576) |#1|))) (|has| |#1| (-915 (-1196))))) ((-899 (-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-899 (-390)))) ((-899 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-899 (-576)))) ((-897 |#2|) |has| |#1| (-374)) ((-926) -12 (|has| |#1| (-374)) (|has| |#2| (-926))) ((-992 |#1| #0# (-1101)) . T) ((-937) |has| |#1| (-374)) ((-1011 |#2|) |has| |#1| (-374)) ((-1021) |has| |#1| (-38 (-419 (-576)))) ((-1041) -12 (|has| |#1| (-374)) (|has| |#2| (-1041))) ((-1057 (-419 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-576)))) ((-1057 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-576)))) ((-1057 #2#) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-1196)))) ((-1057 |#2|) . T) ((-1070 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1070 |#1|) . T) ((-1070 |#2|) |has| |#1| (-374)) ((-1070 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1075 |#1|) . T) ((-1075 |#2|) |has| |#1| (-374)) ((-1075 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) -12 (|has| |#1| (-374)) (|has| |#2| (-1171))) ((-1222) |has| |#1| (-38 (-419 (-576)))) ((-1225) |has| |#1| (-38 (-419 (-576)))) ((-1237) . T) ((-1241) |has| |#1| (-374)) ((-1247 |#1|) . T) ((-1265 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-576)) . T) ((-25) . T) ((-38 #1=(-419 (-576))) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 |#2|) |has| |#1| (-374)) ((-38 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-35) |has| |#1| (-38 (-419 (-576)))) ((-95) |has| |#1| (-38 (-419 (-576)))) ((-102) . T) ((-111 #1# #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-374)) ((-111 $ $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) -2825 (-12 (|has| |#1| (-374)) (|has| |#2| (-146))) (|has| |#1| (-146))) ((-148) -2825 (-12 (|has| |#1| (-374)) (|has| |#2| (-148))) (|has| |#1| (-148))) ((-628 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1196)) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-1196)))) ((-628 |#1|) |has| |#1| (-174)) ((-628 |#2|) . T) ((-628 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -2825 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-227)) -12 (|has| |#1| (-374)) (|has| |#2| (-1041))) ((-626 (-390)) -12 (|has| |#1| (-374)) (|has| |#2| (-1041))) ((-626 (-548)) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-626 (-905 (-576))))) ((-234 $) -2825 (-12 (|has| |#1| (-374)) (|has| |#2| (-237))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-232 |#2|) |has| |#1| (-374)) ((-238) -2825 (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-237) -2825 (-12 (|has| |#1| (-374)) (|has| |#2| (-237))) (-12 (|has| |#1| (-374)) (|has| |#2| (-238))) (|has| |#1| (-15 * (|#1| (-576) |#1|)))) ((-272 |#2|) |has| |#1| (-374)) ((-248) |has| |#1| (-374)) ((-294) |has| |#1| (-38 (-419 (-576)))) ((-296 #0# |#1|) . T) ((-296 |#2| $) -12 (|has| |#1| (-374)) (|has| |#2| (-296 |#2| |#2|))) ((-296 $ $) |has| (-576) (-1131)) ((-300) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-319 |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) ((-374) |has| |#1| (-374)) ((-349 |#2|) |has| |#1| (-374)) ((-388 |#2|) |has| |#1| (-374)) ((-412 |#2|) |has| |#1| (-374)) ((-464) |has| |#1| (-374)) ((-505) |has| |#1| (-38 (-419 (-576)))) ((-526 (-1196) |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-526 (-1196) |#2|))) ((-526 |#2| |#2|) -12 (|has| |#1| (-374)) (|has| |#2| (-319 |#2|))) ((-568) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-658 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 |#2|) |has| |#1| (-374)) ((-658 $) . T) ((-660 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-660 #3=(-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-660 |#1|) . T) ((-660 |#2|) |has| |#1| (-374)) ((-660 $) . T) ((-652 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 |#2|) |has| |#1| (-374)) ((-652 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-651 #3#) -12 (|has| |#1| (-374)) (|has| |#2| (-651 (-576)))) ((-651 |#2|) |has| |#1| (-374)) ((-729 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 |#2|) |has| |#1| (-374)) ((-729 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . 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T) ((-937) |has| |#1| (-374)) ((-1011 |#2|) |has| |#1| (-374)) ((-1021) |has| |#1| (-38 (-419 (-576)))) ((-1041) -12 (|has| |#1| (-374)) (|has| |#2| (-1041))) ((-1057 (-419 (-576))) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-576)))) ((-1057 (-576)) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-576)))) ((-1057 #2#) -12 (|has| |#1| (-374)) (|has| |#2| (-1057 (-1196)))) ((-1057 |#2|) . T) ((-1070 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1070 |#1|) . T) ((-1070 |#2|) |has| |#1| (-374)) ((-1070 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1075 |#1|) . T) ((-1075 |#2|) |has| |#1| (-374)) ((-1075 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) -12 (|has| |#1| (-374)) (|has| |#2| (-1171))) ((-1222) |has| |#1| (-38 (-419 (-576)))) ((-1225) |has| |#1| (-38 (-419 (-576)))) ((-1237) . 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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 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -3739 (|has| |#1| (-1057 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1101)) . T) ((-628 |#1|) . T) ((-628 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1101) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| (-1101) (-626 (-905 (-390)))) (|has| |#1| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| (-1101) (-626 (-905 (-576)))) (|has| |#1| (-626 (-905 (-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) -3739 (|has| |#1| (-926)) (|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) -3739 (|has| |#1| (-926)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -3739 (|has| |#1| (-926)) (|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 $) -3739 (|has| |#1| (-926)) (|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 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-909 $ #2#) . T) ((-909 $ #4=(-1196)) -3739 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-915 #2#) . T) ((-915 (-1196)) |has| |#1| (-915 (-1196))) ((-917 #2#) . T) ((-917 #4#) -3739 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-899 (-390)) -12 (|has| (-1101) (-899 (-390))) (|has| |#1| (-899 (-390)))) ((-899 (-576)) -12 (|has| (-1101) (-899 (-576))) (|has| |#1| (-899 (-576)))) ((-966 |#1| #0# #2#) . T) ((-926) |has| |#1| (-926)) ((-937) |has| |#1| (-374)) ((-1057 (-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 #2#) . T) ((-1057 |#1|) . T) ((-1070 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1070 |#1|) . T) ((-1070 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1075 |#1|) . T) ((-1075 $) -3739 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) |has| |#1| (-1171)) ((-1237) . T) ((-1241) |has| |#1| (-926))) -((-1634 (((-656 (-1101)) $) 34)) (-4404 (($ $) 31)) (-2428 (($ |#2| |#3|) NIL) (($ $ (-1101) |#3|) 28) (($ $ (-656 (-1101)) (-656 |#3|)) 27)) (-4366 (($ $) 14)) (-4379 ((|#2| $) 12)) (-4436 ((|#3| $) 10))) -(((-1264 |#1| |#2| |#3|) (-10 -8 (-15 -1634 ((-656 (-1101)) |#1|)) (-15 -2428 (|#1| |#1| (-656 (-1101)) (-656 |#3|))) (-15 -2428 (|#1| |#1| (-1101) |#3|)) (-15 -4404 (|#1| |#1|)) (-15 -2428 (|#1| |#2| |#3|)) (-15 -4436 (|#3| |#1|)) (-15 -4366 (|#1| |#1|)) (-15 -4379 (|#2| |#1|))) (-1265 |#2| |#3|) (-1068) (-804)) (T -1264)) -NIL -(-10 -8 (-15 -1634 ((-656 (-1101)) |#1|)) (-15 -2428 (|#1| |#1| (-656 (-1101)) (-656 |#3|))) (-15 -2428 (|#1| |#1| (-1101) |#3|)) (-15 -4404 (|#1| |#1|)) (-15 -2428 (|#1| |#2| |#3|)) (-15 -4436 (|#3| |#1|)) (-15 -4366 (|#1| |#1|)) (-15 -4379 (|#2| |#1|))) -((-2835 (((-112) $ $) 7)) (-3203 (((-112) $) 17)) (-1634 (((-656 (-1101)) $) 86)) (-1455 (((-1196) $) 118)) (-3149 (((-2 (|:| -2857 $) (|:| -4449 $) (|:| |associate| $)) 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(-576))))))) +(-13 (-966 |t#1| (-783) (-1101)) (-296 |t#1| |t#1|) (-296 $ $) (-238) (-232 |t#1|) (-10 -8 (-15 -3059 ((-1287 |t#1|) $ (-783))) (-15 -2158 ((-1192 |t#1|) $)) (-15 -3110 ($ (-1192 |t#1|))) (-15 -3028 ($ $ (-783))) (-15 -2555 ((-3 $ "failed") $ (-783))) (-15 -1702 ((-2 (|:| -2606 $) (|:| -3095 $)) $ $)) (-15 -3521 ((-2 (|:| -2606 $) (|:| -3095 $)) $ (-783))) (-15 -3676 ($ $ (-783))) (-15 -3199 ($ $ (-783))) (-15 -1369 ($ $ $)) (-15 -3889 ($ $ (-1 |t#1| |t#1|) $)) (IF (|has| |t#1| (-1171)) (-6 (-1171)) |%noBranch|) (IF (|has| |t#1| (-174)) (PROGN (-15 -2486 (|t#1| $)) (-15 -1428 (|t#1| $ $))) |%noBranch|) (IF (|has| |t#1| (-568)) (PROGN (-6 (-296 (-419 $) (-419 $))) (-15 -2218 ((-419 $) (-419 $) (-419 $))) (-15 -2790 ((-783) $ $)) (-15 -3163 ($ $ $)) (-15 -2750 ((-3 $ "failed") $ $)) (-15 -2750 ((-3 (-419 $) "failed") (-419 $) $)) (-15 -3061 ($ $ $)) (-15 -4087 ((-2 (|:| -1882 |t#1|) (|:| -2606 $) (|:| -3095 $)) $ $))) |%noBranch|) (IF (|has| |t#1| (-464)) (-15 -1542 ((-2 (|:| |primePart| $) (|:| |commonPart| $)) $ $)) |%noBranch|) (IF (|has| |t#1| (-374)) (PROGN (-6 (-317)) (-6 -4458) (-15 -2218 (|t#1| (-419 $) |t#1|))) |%noBranch|) (IF (|has| |t#1| (-38 (-419 (-576)))) (-15 -3247 ($ $)) |%noBranch|))) +(((-21) . 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 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -2825 (|has| |#1| (-1057 (-419 (-576)))) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 #2=(-1101)) . T) ((-628 |#1|) . T) ((-628 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-626 (-548)) -12 (|has| (-1101) (-626 (-548))) (|has| |#1| (-626 (-548)))) ((-626 (-905 (-390))) -12 (|has| (-1101) (-626 (-905 (-390)))) (|has| |#1| (-626 (-905 (-390))))) ((-626 (-905 (-576))) -12 (|has| (-1101) (-626 (-905 (-576)))) (|has| |#1| (-626 (-905 (-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) -2825 (|has| |#1| (-926)) (|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) -2825 (|has| |#1| (-926)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-526 #2# |#1|) . T) ((-526 #2# $) . T) ((-526 $ $) . T) ((-568) -2825 (|has| |#1| (-926)) (|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 $) -2825 (|has| |#1| (-926)) (|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 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374))) ((-738) . T) ((-909 $ #2#) . T) ((-909 $ #4=(-1196)) -2825 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-915 #2#) . T) ((-915 (-1196)) |has| |#1| (-915 (-1196))) ((-917 #2#) . T) ((-917 #4#) -2825 (|has| |#1| (-917 (-1196))) (|has| |#1| (-915 (-1196)))) ((-899 (-390)) -12 (|has| (-1101) (-899 (-390))) (|has| |#1| (-899 (-390)))) ((-899 (-576)) -12 (|has| (-1101) (-899 (-576))) (|has| |#1| (-899 (-576)))) ((-966 |#1| #0# #2#) . T) ((-926) |has| |#1| (-926)) ((-937) |has| |#1| (-374)) ((-1057 (-419 (-576))) |has| |#1| (-1057 (-419 (-576)))) ((-1057 (-576)) |has| |#1| (-1057 (-576))) ((-1057 #2#) . T) ((-1057 |#1|) . T) ((-1070 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1070 |#1|) . T) ((-1070 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) |has| |#1| (-38 (-419 (-576)))) ((-1075 |#1|) . T) ((-1075 $) -2825 (|has| |#1| (-926)) (|has| |#1| (-568)) (|has| |#1| (-464)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1171) |has| |#1| (-1171)) ((-1237) . 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T) ((-652 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-729 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . T) ((-909 $ #2=(-1196)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196)))) ((-915 #2#) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196)))) ((-917 #2#) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196)))) ((-992 |#1| #0# (-1101)) . T) ((-937) |has| |#1| (-374)) ((-1021) |has| |#1| (-38 (-419 (-576)))) ((-1070 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1070 |#1|) . T) ((-1070 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) -2825 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1075 |#1|) . T) ((-1075 $) -2825 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1222) |has| |#1| (-38 (-419 (-576)))) ((-1225) |has| |#1| (-38 (-419 (-576)))) ((-1237) . T) ((-1241) |has| |#1| (-374)) ((-1265 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-419 (-576))) . T) ((-25) . T) ((-38 #1=(-419 (-576))) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-38 |#1|) |has| |#1| (-174)) ((-38 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-35) |has| |#1| (-38 (-419 (-576)))) ((-95) |has| |#1| (-38 (-419 (-576)))) ((-102) . T) ((-111 #1# #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-628 (-576)) . T) ((-628 |#1|) |has| |#1| (-174)) ((-628 |#2|) . T) ((-628 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-625 (-874)) . T) ((-174) -3739 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-234 $) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) ((-238) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) ((-237) |has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) ((-248) |has| |#1| (-374)) ((-294) |has| |#1| (-38 (-419 (-576)))) ((-296 #0# |#1|) . T) ((-296 $ $) |has| (-419 (-576)) (-1131)) ((-300) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-317) |has| |#1| (-374)) ((-374) |has| |#1| (-374)) ((-464) |has| |#1| (-374)) ((-505) |has| |#1| (-38 (-419 (-576)))) ((-568) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-658 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-658 (-576)) . T) ((-658 |#1|) . T) ((-658 $) . T) ((-660 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-660 |#1|) . T) ((-660 $) . T) ((-652 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-652 |#1|) |has| |#1| (-174)) ((-652 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-729 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-729 |#1|) |has| |#1| (-174)) ((-729 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374))) ((-738) . T) ((-909 $ #2=(-1196)) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196)))) ((-915 #2#) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196)))) ((-917 #2#) -12 (|has| |#1| (-15 * (|#1| (-419 (-576)) |#1|))) (|has| |#1| (-915 (-1196)))) ((-992 |#1| #0# (-1101)) . T) ((-937) |has| |#1| (-374)) ((-1021) |has| |#1| (-38 (-419 (-576)))) ((-1057 |#2|) . T) ((-1070 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1070 |#1|) . T) ((-1070 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1075 #1#) -3739 (|has| |#1| (-374)) (|has| |#1| (-38 (-419 (-576))))) ((-1075 |#1|) . T) ((-1075 $) -3739 (|has| |#1| (-568)) (|has| |#1| (-374)) (|has| |#1| (-174))) ((-1068) . T) ((-1077) . T) ((-1131) . T) ((-1119) . T) ((-1222) |has| |#1| (-38 (-419 (-576)))) ((-1225) |has| |#1| (-38 (-419 (-576)))) ((-1237) . T) ((-1241) |has| |#1| (-374)) ((-1265 |#1| #0#) . T) ((-1268 |#1|) . 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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 $) |has| |#1| (-568)) ((-35) |has| |#1| (-38 (-419 (-576)))) ((-95) |has| |#1| (-38 (-419 (-576)))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-419 (-576)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -3739 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-132) . T) ((-146) |has| |#1| (-146)) ((-148) |has| |#1| (-148)) ((-628 #1#) |has| |#1| (-38 (-419 (-576)))) ((-628 (-576)) . T) ((-628 |#1|) |has| |#1| (-174)) ((-628 $) |has| |#1| (-568)) ((-625 (-874)) . T) ((-174) -3739 (|has| |#1| (-568)) (|has| |#1| (-174))) ((-234 $) |has| |#1| (-15 * (|#1| (-783) |#1|))) ((-238) |has| |#1| (-15 * (|#1| (-783) |#1|))) ((-237) |has| |#1| (-15 * (|#1| (-783) |#1|))) ((-294) |has| |#1| (-38 (-419 (-576)))) ((-296 #0# |#1|) . 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(-938)) 50)) (-3957 (((-1139) $) NIL)) (-1861 (((-576) $) 13)) (-2933 (((-874) $) 27) (($ (-576)) 24)) (-2066 (((-783)) 9 T CONST)) (-3300 (((-112) $ $) 60)) (-2157 (($) 29 T CONST)) (-2169 (($) 31 T CONST)) (-2966 (((-112) $ $) 38)) (-3066 (($ $) 52) (($ $ $) 47)) (-3051 (($ $ $) 35)) (** (($ $ (-938)) NIL) (($ $ (-783)) 54)) (* (($ (-938) $) NIL) (($ (-783) $) NIL) (($ (-576) $) 44) (($ $ $) 43))) (((-1316 |#1|) (-13 (-174) (-379) (-626 (-576)) (-1171)) (-938)) (T -1316)) NIL (-13 (-174) (-379) (-626 (-576)) (-1171)) @@ -5436,4 +5436,4 @@ NIL NIL NIL NIL -((-3 3251798 3251803 3251808 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3251783 3251788 3251793 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3251768 3251773 3251778 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3251753 3251758 3251763 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1316 3250896 3251628 3251705 "ZMOD" 3251710 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1315 3249950 3250114 3250337 "ZLINDEP" 3250728 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1314 3239250 3241018 3242990 "ZDSOLVE" 3248080 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1313 3238496 3238637 3238826 "YSTREAM" 3239096 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1312 3237924 3238170 3238283 "YDIAGRAM" 3238405 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1311 3235698 3237225 3237429 "XRPOLY" 3237767 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1310 3232251 3233569 3234144 "XPR" 3235170 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1309 3229972 3231582 3231786 "XPOLY" 3232082 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1308 3227625 3228993 3229048 "XPOLYC" 3229336 NIL XPOLYC (NIL T T) -9 NIL 3229449 NIL) (-1307 3224001 3226142 3226530 "XPBWPOLY" 3227283 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1306 3219696 3221991 3222033 "XF" 3222654 NIL XF (NIL T) -9 NIL 3223054 NIL) (-1305 3219317 3219405 3219574 "XF-" 3219579 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1304 3214513 3215802 3215857 "XFALG" 3218029 NIL XFALG (NIL T T) -9 NIL 3218818 NIL) (-1303 3213646 3213750 3213955 "XEXPPKG" 3214405 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1302 3211755 3213496 3213592 "XDPOLY" 3213597 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1301 3210562 3211162 3211205 "XALG" 3211210 NIL XALG (NIL T) -9 NIL 3211321 NIL) (-1300 3204004 3208539 3209033 "WUTSET" 3210154 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1299 3202260 3203056 3203379 "WP" 3203815 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1298 3201862 3202082 3202152 "WHILEAST" 3202212 T WHILEAST (NIL) -8 NIL NIL NIL) (-1297 3201334 3201579 3201673 "WHEREAST" 3201790 T WHEREAST (NIL) -8 NIL NIL NIL) (-1296 3200220 3200418 3200713 "WFFINTBS" 3201131 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1295 3198124 3198551 3199013 "WEIER" 3199792 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1294 3197170 3197620 3197662 "VSPACE" 3197798 NIL VSPACE (NIL T) -9 NIL 3197872 NIL) (-1293 3197008 3197035 3197126 "VSPACE-" 3197131 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1292 3196817 3196859 3196927 "VOID" 3196962 T VOID (NIL) -8 NIL NIL NIL) (-1291 3194953 3195312 3195718 "VIEW" 3196433 T VIEW (NIL) -7 NIL NIL NIL) (-1290 3191377 3192016 3192753 "VIEWDEF" 3194238 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1289 3180681 3182925 3185098 "VIEW3D" 3189226 T VIEW3D (NIL) -8 NIL NIL NIL) (-1288 3172932 3174592 3176171 "VIEW2D" 3179124 T VIEW2D (NIL) -8 NIL NIL NIL) (-1287 3168285 3172702 3172794 "VECTOR" 3172875 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1286 3166862 3167121 3167439 "VECTOR2" 3168015 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1285 3160304 3164613 3164656 "VECTCAT" 3165651 NIL VECTCAT (NIL T) -9 NIL 3166238 NIL) (-1284 3159318 3159572 3159962 "VECTCAT-" 3159967 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1283 3158772 3158969 3159089 "VARIABLE" 3159233 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1282 3158705 3158710 3158740 "UTYPE" 3158745 T UTYPE (NIL) -9 NIL NIL NIL) (-1281 3157535 3157689 3157951 "UTSODETL" 3158531 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1280 3154975 3155435 3155959 "UTSODE" 3157076 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1279 3146923 3152736 3153216 "UTS" 3154553 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1278 3137487 3142857 3142900 "UTSCAT" 3144012 NIL UTSCAT (NIL T) -9 NIL 3144770 NIL) (-1277 3134835 3135557 3136546 "UTSCAT-" 3136551 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1276 3134462 3134505 3134638 "UTS2" 3134786 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1275 3128688 3131300 3131343 "URAGG" 3133413 NIL URAGG (NIL T) -9 NIL 3134136 NIL) (-1274 3125627 3126490 3127613 "URAGG-" 3127618 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1273 3121336 3124262 3124727 "UPXSSING" 3125291 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1272 3113512 3120718 3120982 "UPXS" 3121130 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1271 3106585 3113416 3113488 "UPXSCONS" 3113493 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1270 3095992 3102788 3102850 "UPXSCCA" 3103424 NIL UPXSCCA (NIL T T) -9 NIL 3103657 NIL) (-1269 3095630 3095715 3095889 "UPXSCCA-" 3095894 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1268 3084889 3091458 3091501 "UPXSCAT" 3092149 NIL UPXSCAT (NIL T) -9 NIL 3092758 NIL) (-1267 3084319 3084398 3084577 "UPXS2" 3084804 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1266 3082973 3083226 3083577 "UPSQFREE" 3084062 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1265 3076181 3079241 3079296 "UPSCAT" 3080376 NIL UPSCAT (NIL T T) -9 NIL 3081141 NIL) (-1264 3075385 3075592 3075919 "UPSCAT-" 3075924 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1263 3060654 3068512 3068555 "UPOLYC" 3070656 NIL UPOLYC (NIL T) -9 NIL 3071877 NIL) (-1262 3051982 3054408 3057555 "UPOLYC-" 3057560 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1261 3051609 3051652 3051785 "UPOLYC2" 3051933 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1260 3043331 3051292 3051421 "UP" 3051528 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1259 3042670 3042777 3042941 "UPMP" 3043220 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1258 3042223 3042304 3042443 "UPDIVP" 3042583 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1257 3040791 3041040 3041356 "UPDECOMP" 3041972 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1256 3040022 3040134 3040320 "UPCDEN" 3040675 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1255 3039541 3039610 3039759 "UP2" 3039947 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1254 3038008 3038745 3039022 "UNISEG" 3039299 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1253 3037223 3037350 3037555 "UNISEG2" 3037851 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1252 3036283 3036463 3036689 "UNIFACT" 3037039 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1251 3019322 3035595 3035837 "ULS" 3036099 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1250 3007185 3019226 3019298 "ULSCONS" 3019303 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1249 2988248 3000373 3000435 "ULSCCAT" 3001073 NIL ULSCCAT (NIL T T) -9 NIL 3001362 NIL) (-1248 2987298 2987543 2987931 "ULSCCAT-" 2987936 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1247 2976362 2982845 2982888 "ULSCAT" 2983751 NIL ULSCAT (NIL T) -9 NIL 2984482 NIL) (-1246 2975792 2975871 2976050 "ULS2" 2976277 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1245 2974911 2975421 2975528 "UINT8" 2975639 T UINT8 (NIL) -8 NIL NIL 2975724) (-1244 2974029 2974539 2974646 "UINT64" 2974757 T UINT64 (NIL) -8 NIL NIL 2974842) (-1243 2973147 2973657 2973764 "UINT32" 2973875 T UINT32 (NIL) -8 NIL NIL 2973960) (-1242 2972265 2972775 2972882 "UINT16" 2972993 T UINT16 (NIL) -8 NIL NIL 2973078) (-1241 2970568 2971525 2971555 "UFD" 2971767 T UFD (NIL) -9 NIL 2971881 NIL) (-1240 2970362 2970408 2970503 "UFD-" 2970508 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1239 2969444 2969627 2969843 "UDVO" 2970168 T UDVO (NIL) -7 NIL NIL NIL) (-1238 2967260 2967669 2968140 "UDPO" 2969008 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1237 2967193 2967198 2967228 "TYPE" 2967233 T TYPE (NIL) -9 NIL NIL NIL) (-1236 2966953 2967148 2967179 "TYPEAST" 2967184 T TYPEAST (NIL) -8 NIL NIL NIL) (-1235 2965924 2966126 2966366 "TWOFACT" 2966747 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1234 2964947 2965333 2965568 "TUPLE" 2965724 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1233 2962638 2963157 2963696 "TUBETOOL" 2964430 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1232 2961487 2961692 2961933 "TUBE" 2962431 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1231 2956216 2960459 2960742 "TS" 2961239 NIL TS (NIL T) -8 NIL NIL NIL) (-1230 2944856 2948975 2949072 "TSETCAT" 2954341 NIL TSETCAT (NIL T T T T) -9 NIL 2955872 NIL) (-1229 2939588 2941188 2943079 "TSETCAT-" 2943084 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1228 2934227 2935074 2936003 "TRMANIP" 2938724 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1227 2933668 2933731 2933894 "TRIMAT" 2934159 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1226 2931534 2931771 2932128 "TRIGMNIP" 2933417 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1225 2931054 2931167 2931197 "TRIGCAT" 2931410 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1224 2930723 2930802 2930943 "TRIGCAT-" 2930948 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1223 2927568 2929581 2929862 "TREE" 2930477 NIL TREE (NIL T) -8 NIL NIL NIL) (-1222 2926842 2927370 2927400 "TRANFUN" 2927435 T TRANFUN (NIL) -9 NIL 2927501 NIL) (-1221 2926121 2926312 2926592 "TRANFUN-" 2926597 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1220 2925925 2925957 2926018 "TOPSP" 2926082 T TOPSP (NIL) -7 NIL NIL NIL) (-1219 2925273 2925388 2925542 "TOOLSIGN" 2925806 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1218 2923907 2924450 2924689 "TEXTFILE" 2925056 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1217 2921819 2922360 2922789 "TEX" 2923500 T TEX (NIL) -8 NIL NIL NIL) (-1216 2921600 2921631 2921703 "TEX1" 2921782 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1215 2921248 2921311 2921401 "TEMUTL" 2921532 T TEMUTL (NIL) -7 NIL NIL NIL) (-1214 2919402 2919682 2920007 "TBCMPPK" 2920971 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1213 2911179 2917562 2917618 "TBAGG" 2918018 NIL TBAGG (NIL T T) -9 NIL 2918229 NIL) (-1212 2906249 2907737 2909491 "TBAGG-" 2909496 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1211 2905633 2905740 2905885 "TANEXP" 2906138 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1210 2905144 2905408 2905498 "TALGOP" 2905578 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1209 2898534 2905001 2905094 "TABLE" 2905099 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1208 2897946 2898045 2898183 "TABLEAU" 2898431 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1207 2892554 2893774 2895022 "TABLBUMP" 2896732 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1206 2891776 2891923 2892104 "SYSTEM" 2892395 T SYSTEM (NIL) -8 NIL NIL NIL) (-1205 2888235 2888934 2889717 "SYSSOLP" 2891027 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1204 2888033 2888190 2888221 "SYSPTR" 2888226 T SYSPTR (NIL) -8 NIL NIL NIL) (-1203 2887069 2887574 2887693 "SYSNNI" 2887879 NIL SYSNNI (NIL NIL) -8 NIL NIL 2887964) (-1202 2886368 2886827 2886906 "SYSINT" 2886966 NIL SYSINT (NIL NIL) -8 NIL NIL 2887011) (-1201 2882700 2883646 2884356 "SYNTAX" 2885680 T SYNTAX (NIL) -8 NIL NIL NIL) (-1200 2879858 2880460 2881092 "SYMTAB" 2882090 T SYMTAB (NIL) -8 NIL NIL NIL) (-1199 2875107 2876009 2876992 "SYMS" 2878897 T SYMS (NIL) -8 NIL NIL NIL) (-1198 2872342 2874565 2874795 "SYMPOLY" 2874912 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1197 2871859 2871934 2872057 "SYMFUNC" 2872254 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1196 2867879 2869171 2869984 "SYMBOL" 2871068 T SYMBOL (NIL) -8 NIL NIL NIL) (-1195 2861418 2863107 2864827 "SWITCH" 2866181 T SWITCH (NIL) -8 NIL NIL NIL) (-1194 2854762 2860374 2860668 "SUTS" 2861182 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1193 2846938 2854144 2854408 "SUPXS" 2854556 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1192 2838608 2846556 2846682 "SUP" 2846847 NIL SUP (NIL T) -8 NIL NIL NIL) (-1191 2837767 2837894 2838111 "SUPFRACF" 2838476 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1190 2837388 2837447 2837560 "SUP2" 2837702 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1189 2835836 2836110 2836466 "SUMRF" 2837087 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1188 2835171 2835237 2835429 "SUMFS" 2835757 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1187 2818245 2834483 2834725 "SULS" 2834987 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1186 2817847 2818067 2818137 "SUCHTAST" 2818197 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1185 2817142 2817372 2817512 "SUCH" 2817755 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1184 2811009 2812048 2813007 "SUBSPACE" 2816230 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1183 2810439 2810529 2810693 "SUBRESP" 2810897 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1182 2803807 2805104 2806415 "STTF" 2809175 NIL STTF (NIL T) -7 NIL NIL NIL) (-1181 2797980 2799100 2800247 "STTFNC" 2802707 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1180 2789293 2791162 2792956 "STTAYLOR" 2796221 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1179 2782423 2789157 2789240 "STRTBL" 2789245 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1178 2777787 2782378 2782409 "STRING" 2782414 T STRING (NIL) -8 NIL NIL NIL) (-1177 2772616 2777130 2777160 "STRICAT" 2777219 T STRICAT (NIL) -9 NIL 2777281 NIL) (-1176 2765369 2770235 2770846 "STREAM" 2772040 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1175 2764879 2764956 2765100 "STREAM3" 2765286 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1174 2763861 2764044 2764279 "STREAM2" 2764692 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1173 2763549 2763601 2763694 "STREAM1" 2763803 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1172 2762565 2762746 2762977 "STINPROD" 2763365 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1171 2762117 2762327 2762357 "STEP" 2762437 T STEP (NIL) -9 NIL 2762515 NIL) (-1170 2761304 2761606 2761754 "STEPAST" 2761991 T STEPAST (NIL) -8 NIL NIL NIL) (-1169 2754736 2761203 2761280 "STBL" 2761285 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1168 2749831 2753927 2753970 "STAGG" 2754123 NIL STAGG (NIL T) -9 NIL 2754212 NIL) (-1167 2747533 2748135 2749007 "STAGG-" 2749012 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1166 2745680 2747303 2747395 "STACK" 2747476 NIL STACK (NIL T) -8 NIL NIL NIL) (-1165 2738375 2743821 2744277 "SREGSET" 2745310 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1164 2730800 2732169 2733682 "SRDCMPK" 2736981 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1163 2723685 2728210 2728240 "SRAGG" 2729543 T SRAGG (NIL) -9 NIL 2730151 NIL) (-1162 2722702 2722957 2723336 "SRAGG-" 2723341 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1161 2717073 2721649 2722070 "SQMATRIX" 2722328 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1160 2710758 2713791 2714518 "SPLTREE" 2716418 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1159 2706721 2707414 2708060 "SPLNODE" 2710184 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1158 2705768 2706001 2706031 "SPFCAT" 2706475 T SPFCAT (NIL) -9 NIL NIL NIL) (-1157 2704505 2704715 2704979 "SPECOUT" 2705526 T SPECOUT (NIL) -7 NIL NIL NIL) (-1156 2695615 2697487 2697517 "SPADXPT" 2702193 T SPADXPT (NIL) -9 NIL 2704357 NIL) (-1155 2695376 2695416 2695485 "SPADPRSR" 2695568 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1154 2693425 2695331 2695362 "SPADAST" 2695367 T SPADAST (NIL) -8 NIL NIL NIL) (-1153 2685370 2687143 2687186 "SPACEC" 2691559 NIL SPACEC (NIL T) -9 NIL 2693375 NIL) (-1152 2683500 2685302 2685351 "SPACE3" 2685356 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1151 2682252 2682423 2682714 "SORTPAK" 2683305 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1150 2680344 2680647 2681059 "SOLVETRA" 2681916 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1149 2679394 2679616 2679877 "SOLVESER" 2680117 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1148 2674698 2675586 2676581 "SOLVERAD" 2678446 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1147 2670513 2671122 2671851 "SOLVEFOR" 2674065 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1146 2664783 2669862 2669959 "SNTSCAT" 2669964 NIL SNTSCAT (NIL T T T T) -9 NIL 2670034 NIL) (-1145 2658889 2663106 2663497 "SMTS" 2664473 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1144 2653485 2658777 2658854 "SMP" 2658859 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1143 2651644 2651945 2652343 "SMITH" 2653182 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1142 2643935 2648223 2648326 "SMATCAT" 2649677 NIL SMATCAT (NIL NIL T T T) -9 NIL 2650227 NIL) (-1141 2640653 2641538 2642796 "SMATCAT-" 2642801 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1140 2638319 2639889 2639932 "SKAGG" 2640193 NIL SKAGG (NIL T) -9 NIL 2640328 NIL) (-1139 2634595 2637792 2637976 "SINT" 2638128 T SINT (NIL) -8 NIL NIL 2638290) (-1138 2634367 2634405 2634471 "SIMPAN" 2634551 T SIMPAN (NIL) -7 NIL NIL NIL) (-1137 2633646 2633902 2634042 "SIG" 2634249 T SIG (NIL) -8 NIL NIL NIL) (-1136 2632484 2632705 2632980 "SIGNRF" 2633405 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1135 2631317 2631468 2631752 "SIGNEF" 2632313 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1134 2630623 2630900 2631024 "SIGAST" 2631215 T SIGAST (NIL) -8 NIL NIL NIL) (-1133 2628313 2628767 2629273 "SHP" 2630164 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1132 2622318 2628214 2628290 "SHDP" 2628295 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1131 2621891 2622083 2622113 "SGROUP" 2622206 T SGROUP (NIL) -9 NIL 2622268 NIL) (-1130 2621749 2621775 2621848 "SGROUP-" 2621853 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1129 2618540 2619238 2619961 "SGCF" 2621048 T SGCF (NIL) -7 NIL NIL NIL) (-1128 2612908 2617987 2618084 "SFRTCAT" 2618089 NIL SFRTCAT (NIL T T T T) -9 NIL 2618128 NIL) (-1127 2606329 2607347 2608483 "SFRGCD" 2611891 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1126 2599455 2600528 2601714 "SFQCMPK" 2605262 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1125 2599075 2599164 2599275 "SFORT" 2599396 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1124 2598193 2598915 2599036 "SEXOF" 2599041 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1123 2597300 2598074 2598142 "SEX" 2598147 T SEX (NIL) -8 NIL NIL NIL) (-1122 2593081 2593796 2593891 "SEXCAT" 2596513 NIL SEXCAT (NIL T T T T T) -9 NIL 2597073 NIL) (-1121 2590234 2593015 2593063 "SET" 2593068 NIL SET (NIL T) -8 NIL NIL NIL) (-1120 2588458 2588947 2589252 "SETMN" 2589975 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1119 2587954 2588106 2588136 "SETCAT" 2588312 T SETCAT (NIL) -9 NIL 2588422 NIL) (-1118 2587646 2587724 2587854 "SETCAT-" 2587859 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1117 2584007 2586107 2586150 "SETAGG" 2587020 NIL SETAGG (NIL T) -9 NIL 2587360 NIL) (-1116 2583465 2583581 2583818 "SETAGG-" 2583823 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1115 2582908 2583161 2583262 "SEQAST" 2583386 T SEQAST (NIL) -8 NIL NIL NIL) (-1114 2582107 2582401 2582462 "SEGXCAT" 2582748 NIL SEGXCAT (NIL T T) -9 NIL 2582868 NIL) (-1113 2581113 2581773 2581955 "SEG" 2581960 NIL SEG (NIL T) -8 NIL NIL NIL) (-1112 2580092 2580306 2580349 "SEGCAT" 2580871 NIL SEGCAT (NIL T) -9 NIL 2581092 NIL) (-1111 2579024 2579455 2579663 "SEGBIND" 2579919 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1110 2578645 2578704 2578817 "SEGBIND2" 2578959 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1109 2578218 2578446 2578523 "SEGAST" 2578590 T SEGAST (NIL) -8 NIL NIL NIL) (-1108 2577437 2577563 2577767 "SEG2" 2578062 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1107 2576808 2577372 2577419 "SDVAR" 2577424 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1106 2569246 2576578 2576708 "SDPOL" 2576713 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1105 2567839 2568105 2568424 "SCPKG" 2568961 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1104 2567003 2567175 2567367 "SCOPE" 2567669 T SCOPE (NIL) -8 NIL NIL NIL) (-1103 2566223 2566357 2566536 "SCACHE" 2566858 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1102 2565869 2566055 2566085 "SASTCAT" 2566090 T SASTCAT (NIL) -9 NIL 2566103 NIL) (-1101 2565356 2565704 2565780 "SAOS" 2565815 T SAOS (NIL) -8 NIL NIL NIL) (-1100 2564921 2564956 2565129 "SAERFFC" 2565315 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1099 2558771 2564818 2564898 "SAE" 2564903 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1098 2558364 2558399 2558558 "SAEFACT" 2558730 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1097 2556685 2556999 2557400 "RURPK" 2558030 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1096 2555322 2555628 2555933 "RULESET" 2556519 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1095 2552545 2553075 2553533 "RULE" 2555003 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1094 2552157 2552339 2552422 "RULECOLD" 2552497 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1093 2551947 2551975 2552046 "RTVALUE" 2552108 T RTVALUE (NIL) -8 NIL NIL NIL) (-1092 2551418 2551664 2551758 "RSTRCAST" 2551875 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1091 2546266 2547061 2547981 "RSETGCD" 2550617 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1090 2535496 2540575 2540672 "RSETCAT" 2544791 NIL RSETCAT (NIL T T T T) -9 NIL 2545888 NIL) (-1089 2533423 2533962 2534786 "RSETCAT-" 2534791 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1088 2525809 2527185 2528705 "RSDCMPK" 2532022 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1087 2523788 2524255 2524329 "RRCC" 2525415 NIL RRCC (NIL T T) -9 NIL 2525759 NIL) (-1086 2523139 2523313 2523592 "RRCC-" 2523597 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1085 2522582 2522835 2522936 "RPTAST" 2523060 T RPTAST (NIL) -8 NIL NIL NIL) (-1084 2496245 2505694 2505761 "RPOLCAT" 2516427 NIL RPOLCAT (NIL T T T) -9 NIL 2519587 NIL) (-1083 2487743 2490083 2493205 "RPOLCAT-" 2493210 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1082 2478674 2485954 2486436 "ROUTINE" 2487283 T ROUTINE (NIL) -8 NIL NIL NIL) (-1081 2475421 2478300 2478440 "ROMAN" 2478556 T ROMAN (NIL) -8 NIL NIL NIL) (-1080 2473665 2474281 2474541 "ROIRC" 2475226 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1079 2469897 2472181 2472211 "RNS" 2472515 T RNS (NIL) -9 NIL 2472789 NIL) (-1078 2468406 2468789 2469323 "RNS-" 2469398 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1077 2467809 2468217 2468247 "RNG" 2468252 T RNG (NIL) -9 NIL 2468273 NIL) (-1076 2466812 2467174 2467376 "RNGBIND" 2467660 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1075 2466211 2466599 2466642 "RMODULE" 2466647 NIL RMODULE (NIL T) -9 NIL 2466674 NIL) (-1074 2465047 2465141 2465477 "RMCAT2" 2466112 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1073 2461897 2464393 2464690 "RMATRIX" 2464809 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1072 2454724 2456984 2457099 "RMATCAT" 2460458 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2461440 NIL) (-1071 2454099 2454246 2454553 "RMATCAT-" 2454558 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1070 2453500 2453721 2453764 "RLINSET" 2453958 NIL RLINSET (NIL T) -9 NIL 2454049 NIL) (-1069 2453067 2453142 2453270 "RINTERP" 2453419 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1068 2452125 2452679 2452709 "RING" 2452765 T RING (NIL) -9 NIL 2452857 NIL) (-1067 2451917 2451961 2452058 "RING-" 2452063 NIL RING- (NIL T) -8 NIL NIL NIL) (-1066 2450758 2450995 2451253 "RIDIST" 2451681 T RIDIST (NIL) -7 NIL NIL NIL) (-1065 2442047 2450226 2450432 "RGCHAIN" 2450606 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1064 2441397 2441803 2441844 "RGBCSPC" 2441902 NIL RGBCSPC (NIL T) -9 NIL 2441954 NIL) (-1063 2440555 2440936 2440977 "RGBCMDL" 2441209 NIL RGBCMDL (NIL T) -9 NIL 2441323 NIL) (-1062 2437549 2438163 2438833 "RF" 2439919 NIL RF (NIL T) -7 NIL NIL NIL) (-1061 2437195 2437258 2437361 "RFFACTOR" 2437480 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1060 2436920 2436955 2437052 "RFFACT" 2437154 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1059 2435037 2435401 2435783 "RFDIST" 2436560 T RFDIST (NIL) -7 NIL NIL NIL) (-1058 2434490 2434582 2434745 "RETSOL" 2434939 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1057 2434126 2434206 2434249 "RETRACT" 2434382 NIL RETRACT (NIL T) -9 NIL 2434469 NIL) (-1056 2433975 2434000 2434087 "RETRACT-" 2434092 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1055 2433577 2433797 2433867 "RETAST" 2433927 T RETAST (NIL) -8 NIL NIL NIL) (-1054 2426315 2433230 2433357 "RESULT" 2433472 T RESULT (NIL) -8 NIL NIL NIL) (-1053 2424906 2425584 2425783 "RESRING" 2426218 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1052 2424542 2424591 2424689 "RESLATC" 2424843 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1051 2424247 2424282 2424389 "REPSQ" 2424501 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1050 2421669 2422249 2422851 "REP" 2423667 T REP (NIL) -7 NIL NIL NIL) (-1049 2421366 2421401 2421512 "REPDB" 2421628 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1048 2415266 2416655 2417878 "REP2" 2420178 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1047 2411643 2412324 2413132 "REP1" 2414493 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1046 2404339 2409784 2410240 "REGSET" 2411273 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1045 2403104 2403487 2403737 "REF" 2404124 NIL REF (NIL T) -8 NIL NIL NIL) (-1044 2402481 2402584 2402751 "REDORDER" 2402988 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1043 2398449 2401694 2401921 "RECLOS" 2402309 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1042 2397501 2397682 2397897 "REALSOLV" 2398256 T REALSOLV (NIL) -7 NIL NIL NIL) (-1041 2397347 2397388 2397418 "REAL" 2397423 T REAL (NIL) -9 NIL 2397458 NIL) (-1040 2393830 2394632 2395516 "REAL0Q" 2396512 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1039 2389431 2390419 2391480 "REAL0" 2392811 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1038 2388902 2389148 2389242 "RDUCEAST" 2389359 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1037 2388307 2388379 2388586 "RDIV" 2388824 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1036 2387375 2387549 2387762 "RDIST" 2388129 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1035 2385972 2386259 2386631 "RDETRS" 2387083 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1034 2383784 2384238 2384776 "RDETR" 2385514 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1033 2382409 2382687 2383084 "RDEEFS" 2383500 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1032 2380918 2381224 2381649 "RDEEF" 2382097 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1031 2374979 2377899 2377929 "RCFIELD" 2379224 T RCFIELD (NIL) -9 NIL 2379955 NIL) (-1030 2373043 2373547 2374243 "RCFIELD-" 2374318 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1029 2369312 2371144 2371187 "RCAGG" 2372271 NIL RCAGG (NIL T) -9 NIL 2372736 NIL) (-1028 2368940 2369034 2369197 "RCAGG-" 2369202 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1027 2368275 2368387 2368552 "RATRET" 2368824 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1026 2367828 2367895 2368016 "RATFACT" 2368203 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1025 2367136 2367256 2367408 "RANDSRC" 2367698 T RANDSRC (NIL) -7 NIL NIL NIL) (-1024 2366870 2366914 2366987 "RADUTIL" 2367085 T RADUTIL (NIL) -7 NIL NIL NIL) (-1023 2359891 2365701 2366012 "RADIX" 2366593 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1022 2350559 2359733 2359863 "RADFF" 2359868 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1021 2350206 2350281 2350311 "RADCAT" 2350471 T RADCAT (NIL) -9 NIL NIL NIL) (-1020 2349988 2350036 2350136 "RADCAT-" 2350141 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1019 2348086 2349758 2349850 "QUEUE" 2349931 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1018 2344534 2348019 2348067 "QUAT" 2348072 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1017 2344165 2344208 2344339 "QUATCT2" 2344485 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1016 2337178 2340615 2340657 "QUATCAT" 2341448 NIL QUATCAT (NIL T) -9 NIL 2342214 NIL) (-1015 2333317 2334354 2335744 "QUATCAT-" 2335840 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1014 2330782 2332393 2332436 "QUAGG" 2332817 NIL QUAGG (NIL T) -9 NIL 2332992 NIL) (-1013 2330384 2330604 2330674 "QQUTAST" 2330734 T QQUTAST (NIL) -8 NIL NIL NIL) (-1012 2329397 2329897 2330062 "QFORM" 2330265 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1011 2319971 2325299 2325341 "QFCAT" 2326009 NIL QFCAT (NIL T) -9 NIL 2327010 NIL) (-1010 2315316 2316579 2318253 "QFCAT-" 2318349 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1009 2314947 2314990 2315121 "QFCAT2" 2315267 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1008 2314402 2314512 2314644 "QEQUAT" 2314837 T QEQUAT (NIL) -8 NIL NIL NIL) (-1007 2307528 2308601 2309787 "QCMPACK" 2313335 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1006 2305066 2305514 2305944 "QALGSET" 2307183 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1005 2304301 2304477 2304713 "QALGSET2" 2304884 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1004 2302986 2303210 2303529 "PWFFINTB" 2304074 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1003 2301161 2301329 2301685 "PUSHVAR" 2302800 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1002 2297050 2298104 2298147 "PTRANFN" 2300058 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1001 2295441 2295732 2296056 "PTPACK" 2296761 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1000 2295070 2295127 2295238 "PTFUNC2" 2295378 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-999 2289515 2293912 2293953 "PTCAT" 2294249 NIL PTCAT (NIL T) -9 NIL 2294402 NIL) (-998 2289173 2289208 2289332 "PSQFR" 2289474 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-997 2287768 2288066 2288400 "PSEUDLIN" 2288871 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-996 2274531 2276902 2279226 "PSETPK" 2285528 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-995 2267549 2270289 2270385 "PSETCAT" 2273406 NIL PSETCAT (NIL T T T T) -9 NIL 2274220 NIL) (-994 2265385 2266019 2266840 "PSETCAT-" 2266845 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-993 2264734 2264899 2264927 "PSCURVE" 2265195 T PSCURVE (NIL) -9 NIL 2265362 NIL) (-992 2260732 2262248 2262313 "PSCAT" 2263157 NIL PSCAT (NIL T T T) -9 NIL 2263397 NIL) (-991 2259795 2260011 2260411 "PSCAT-" 2260416 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-990 2258154 2258864 2259127 "PRTITION" 2259552 T PRTITION (NIL) -8 NIL NIL NIL) (-989 2257629 2257875 2257967 "PRTDAST" 2258082 T PRTDAST (NIL) -8 NIL NIL NIL) (-988 2246719 2248933 2251121 "PRS" 2255491 NIL PRS (NIL T T) -7 NIL NIL NIL) (-987 2244530 2246069 2246109 "PRQAGG" 2246292 NIL PRQAGG (NIL T) -9 NIL 2246394 NIL) (-986 2243866 2244171 2244199 "PROPLOG" 2244338 T PROPLOG (NIL) -9 NIL 2244453 NIL) (-985 2243470 2243527 2243650 "PROPFUN2" 2243789 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-984 2242785 2242906 2243078 "PROPFUN1" 2243331 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-983 2240966 2241532 2241829 "PROPFRML" 2242521 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-982 2240435 2240542 2240670 "PROPERTY" 2240858 T PROPERTY (NIL) -8 NIL NIL NIL) (-981 2234493 2238601 2239421 "PRODUCT" 2239661 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-980 2231771 2233951 2234185 "PR" 2234304 NIL PR (NIL T T) -8 NIL NIL NIL) (-979 2231567 2231599 2231658 "PRINT" 2231732 T PRINT (NIL) -7 NIL NIL NIL) (-978 2230907 2231024 2231176 "PRIMES" 2231447 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-977 2228972 2229373 2229839 "PRIMELT" 2230486 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-976 2228701 2228750 2228778 "PRIMCAT" 2228902 T PRIMCAT (NIL) -9 NIL NIL NIL) (-975 2224816 2228639 2228684 "PRIMARR" 2228689 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-974 2223823 2224001 2224229 "PRIMARR2" 2224634 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-973 2223466 2223522 2223633 "PREASSOC" 2223761 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-972 2222941 2223074 2223102 "PPCURVE" 2223307 T PPCURVE (NIL) -9 NIL 2223443 NIL) (-971 2222536 2222736 2222819 "PORTNUM" 2222878 T PORTNUM (NIL) -8 NIL NIL NIL) (-970 2219895 2220294 2220886 "POLYROOT" 2222117 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-969 2213988 2219499 2219659 "POLY" 2219768 NIL POLY (NIL T) -8 NIL NIL NIL) (-968 2213371 2213429 2213663 "POLYLIFT" 2213924 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-967 2209646 2210095 2210724 "POLYCATQ" 2212916 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-966 2196175 2201393 2201458 "POLYCAT" 2204972 NIL POLYCAT (NIL T T T) -9 NIL 2206850 NIL) (-965 2189402 2191326 2193790 "POLYCAT-" 2193795 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-964 2188989 2189057 2189177 "POLY2UP" 2189328 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-963 2188621 2188678 2188787 "POLY2" 2188926 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-962 2187306 2187545 2187821 "POLUTIL" 2188395 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-961 2185661 2185938 2186269 "POLTOPOL" 2187028 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-960 2181126 2185597 2185643 "POINT" 2185648 NIL POINT (NIL T) -8 NIL NIL NIL) (-959 2179313 2179670 2180045 "PNTHEORY" 2180771 T PNTHEORY (NIL) -7 NIL NIL NIL) (-958 2177771 2178068 2178467 "PMTOOLS" 2179011 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-957 2177364 2177442 2177559 "PMSYM" 2177687 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-956 2176872 2176941 2177116 "PMQFCAT" 2177289 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-955 2176227 2176337 2176493 "PMPRED" 2176749 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-954 2175620 2175706 2175868 "PMPREDFS" 2176128 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-953 2174284 2174492 2174870 "PMPLCAT" 2175382 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-952 2173816 2173895 2174047 "PMLSAGG" 2174199 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-951 2173289 2173365 2173547 "PMKERNEL" 2173734 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-950 2172906 2172981 2173094 "PMINS" 2173208 NIL PMINS (NIL T) -7 NIL NIL NIL) (-949 2172348 2172417 2172626 "PMFS" 2172831 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-948 2171576 2171694 2171899 "PMDOWN" 2172225 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-947 2170743 2170901 2171082 "PMASS" 2171415 T PMASS (NIL) -7 NIL NIL NIL) (-946 2170016 2170126 2170289 "PMASSFS" 2170630 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-945 2169671 2169739 2169833 "PLOTTOOL" 2169942 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-944 2164278 2165482 2166630 "PLOT" 2168543 T PLOT (NIL) -8 NIL NIL NIL) (-943 2160082 2161126 2162047 "PLOT3D" 2163377 T PLOT3D (NIL) -8 NIL NIL NIL) (-942 2158994 2159171 2159406 "PLOT1" 2159886 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-941 2134385 2139060 2143911 "PLEQN" 2154260 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-940 2133703 2133825 2134005 "PINTERP" 2134250 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-939 2133396 2133443 2133546 "PINTERPA" 2133650 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-938 2132612 2133160 2133247 "PI" 2133287 T PI (NIL) -8 NIL NIL 2133354) (-937 2130909 2131884 2131912 "PID" 2132094 T PID (NIL) -9 NIL 2132228 NIL) (-936 2130660 2130697 2130772 "PICOERCE" 2130866 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-935 2129980 2130119 2130295 "PGROEB" 2130516 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-934 2125567 2126381 2127286 "PGE" 2129095 T PGE (NIL) -7 NIL NIL NIL) (-933 2123690 2123937 2124303 "PGCD" 2125284 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-932 2123028 2123131 2123292 "PFRPAC" 2123574 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-931 2119668 2121576 2121929 "PFR" 2122707 NIL PFR (NIL T) -8 NIL NIL NIL) (-930 2118057 2118301 2118626 "PFOTOOLS" 2119415 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-929 2116590 2116829 2117180 "PFOQ" 2117814 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-928 2115091 2115303 2115659 "PFO" 2116374 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-927 2111644 2114980 2115049 "PF" 2115054 NIL PF (NIL NIL) -8 NIL NIL NIL) (-926 2108978 2110249 2110277 "PFECAT" 2110862 T PFECAT (NIL) -9 NIL 2111246 NIL) (-925 2108423 2108577 2108791 "PFECAT-" 2108796 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-924 2107026 2107278 2107579 "PFBRU" 2108172 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-923 2104892 2105244 2105676 "PFBR" 2106677 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-922 2100938 2102404 2103051 "PERM" 2104278 NIL PERM (NIL T) -8 NIL NIL NIL) (-921 2096172 2097145 2098015 "PERMGRP" 2100101 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-920 2094291 2095251 2095292 "PERMCAT" 2095692 NIL PERMCAT (NIL T) -9 NIL 2095990 NIL) (-919 2093944 2093985 2094109 "PERMAN" 2094244 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-918 2091432 2093609 2093731 "PENDTREE" 2093855 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-917 2090361 2090576 2090617 "PDSPC" 2091150 NIL PDSPC (NIL T) -9 NIL 2091395 NIL) (-916 2089464 2089682 2090044 "PDSPC-" 2090049 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-915 2088346 2089114 2089155 "PDRING" 2089160 NIL PDRING (NIL T) -9 NIL 2089188 NIL) (-914 2087233 2087851 2087905 "PDMOD" 2087910 NIL PDMOD (NIL T T) -9 NIL 2088014 NIL) (-913 2084448 2085226 2085894 "PDEPROB" 2086585 T PDEPROB (NIL) -8 NIL NIL NIL) (-912 2081993 2082497 2083052 "PDEPACK" 2083913 T PDEPACK (NIL) -7 NIL NIL NIL) (-911 2080905 2081095 2081346 "PDECOMP" 2081792 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-910 2078484 2079327 2079355 "PDECAT" 2080142 T PDECAT (NIL) -9 NIL 2080855 NIL) (-909 2078113 2078168 2078222 "PDDOM" 2078387 NIL PDDOM (NIL T T) -9 NIL 2078467 NIL) (-908 2077932 2077962 2078069 "PDDOM-" 2078074 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-907 2077683 2077716 2077806 "PCOMP" 2077893 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-906 2075861 2076484 2076781 "PBWLB" 2077412 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-905 2068334 2069934 2071272 "PATTERN" 2074544 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-904 2067966 2068023 2068132 "PATTERN2" 2068271 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-903 2065723 2066111 2066568 "PATTERN1" 2067555 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-902 2063091 2063672 2064153 "PATRES" 2065288 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-901 2062655 2062722 2062854 "PATRES2" 2063018 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-900 2060538 2060943 2061350 "PATMATCH" 2062322 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-899 2060048 2060257 2060298 "PATMAB" 2060405 NIL PATMAB (NIL T) -9 NIL 2060488 NIL) (-898 2058566 2058902 2059160 "PATLRES" 2059853 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-897 2058112 2058235 2058276 "PATAB" 2058281 NIL PATAB (NIL T) -9 NIL 2058453 NIL) (-896 2056294 2056689 2057112 "PARTPERM" 2057709 T PARTPERM (NIL) -7 NIL NIL NIL) (-895 2055915 2055978 2056080 "PARSURF" 2056225 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-894 2055547 2055604 2055713 "PARSU2" 2055852 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-893 2055311 2055351 2055418 "PARSER" 2055500 T PARSER (NIL) -7 NIL NIL NIL) (-892 2054932 2054995 2055097 "PARSCURV" 2055242 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-891 2054564 2054621 2054730 "PARSC2" 2054869 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-890 2054203 2054261 2054358 "PARPCURV" 2054500 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-889 2053835 2053892 2054001 "PARPC2" 2054140 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-888 2052896 2053208 2053390 "PARAMAST" 2053673 T PARAMAST (NIL) -8 NIL NIL NIL) (-887 2052416 2052502 2052621 "PAN2EXPR" 2052797 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-886 2051193 2051537 2051765 "PALETTE" 2052208 T PALETTE (NIL) -8 NIL NIL NIL) (-885 2049586 2050198 2050558 "PAIR" 2050879 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-884 2043365 2048843 2049038 "PADICRC" 2049440 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-883 2036489 2042709 2042894 "PADICRAT" 2043212 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-882 2034804 2036426 2036471 "PADIC" 2036476 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-881 2031914 2033478 2033518 "PADICCT" 2034099 NIL PADICCT (NIL NIL) -9 NIL 2034381 NIL) (-880 2030871 2031071 2031339 "PADEPAC" 2031701 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-879 2030083 2030216 2030422 "PADE" 2030733 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-878 2028470 2029291 2029571 "OWP" 2029887 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-877 2027963 2028176 2028273 "OVERSET" 2028393 T OVERSET (NIL) -8 NIL NIL NIL) (-876 2027009 2027568 2027740 "OVAR" 2027831 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-875 2026273 2026394 2026555 "OUT" 2026868 T OUT (NIL) -7 NIL NIL NIL) (-874 2015145 2017382 2019582 "OUTFORM" 2024093 T OUTFORM (NIL) -8 NIL NIL NIL) (-873 2014481 2014742 2014869 "OUTBFILE" 2015038 T OUTBFILE (NIL) -8 NIL NIL NIL) (-872 2013788 2013953 2013981 "OUTBCON" 2014299 T OUTBCON (NIL) -9 NIL 2014465 NIL) (-871 2013389 2013501 2013658 "OUTBCON-" 2013663 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-870 2012769 2013118 2013207 "OSI" 2013320 T OSI (NIL) -8 NIL NIL NIL) (-869 2012299 2012637 2012665 "OSGROUP" 2012670 T OSGROUP (NIL) -9 NIL 2012692 NIL) (-868 2011044 2011271 2011556 "ORTHPOL" 2012046 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-867 2008595 2010879 2011000 "OREUP" 2011005 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-866 2005998 2008286 2008413 "ORESUP" 2008537 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-865 2003526 2004026 2004587 "OREPCTO" 2005487 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-864 1997212 1999413 1999454 "OREPCAT" 2001802 NIL OREPCAT (NIL T) -9 NIL 2002906 NIL) (-863 1994359 1995141 1996199 "OREPCAT-" 1996204 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-862 1993510 1993808 1993836 "ORDSET" 1994145 T ORDSET (NIL) -9 NIL 1994309 NIL) (-861 1992941 1993089 1993313 "ORDSET-" 1993318 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-860 1991506 1992297 1992325 "ORDRING" 1992527 T ORDRING (NIL) -9 NIL 1992652 NIL) (-859 1991151 1991245 1991389 "ORDRING-" 1991394 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 1990531 1990994 1991022 "ORDMON" 1991027 T ORDMON (NIL) -9 NIL 1991048 NIL) (-857 1989693 1989840 1990035 "ORDFUNS" 1990380 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1989031 1989450 1989478 "ORDFIN" 1989543 T ORDFIN (NIL) -9 NIL 1989617 NIL) (-855 1985590 1987617 1988026 "ORDCOMP" 1988655 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1984856 1984983 1985169 "ORDCOMP2" 1985450 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1981437 1982347 1983161 "OPTPROB" 1984062 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1978239 1978878 1979582 "OPTPACK" 1980753 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1975926 1976692 1976720 "OPTCAT" 1977539 T OPTCAT (NIL) -9 NIL 1978189 NIL) (-850 1975310 1975603 1975708 "OPSIG" 1975841 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1975078 1975117 1975183 "OPQUERY" 1975264 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1972209 1973389 1973893 "OP" 1974607 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1971583 1971809 1971850 "OPERCAT" 1972062 NIL OPERCAT (NIL T) -9 NIL 1972159 NIL) (-846 1971338 1971394 1971511 "OPERCAT-" 1971516 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1968151 1970135 1970504 "ONECOMP" 1971002 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1967456 1967571 1967745 "ONECOMP2" 1968023 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1966875 1966981 1967111 "OMSERVER" 1967346 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1963737 1966315 1966355 "OMSAGG" 1966416 NIL OMSAGG (NIL T) -9 NIL 1966480 NIL) (-841 1962360 1962623 1962905 "OMPKG" 1963475 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1961790 1961893 1961921 "OM" 1962220 T OM (NIL) -9 NIL NIL NIL) (-839 1960337 1961339 1961508 "OMLO" 1961671 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1959297 1959444 1959664 "OMEXPR" 1960163 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1958588 1958843 1958979 "OMERR" 1959181 T OMERR (NIL) -8 NIL NIL NIL) (-836 1957739 1958009 1958169 "OMERRK" 1958448 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1957190 1957416 1957524 "OMENC" 1957651 T OMENC (NIL) -8 NIL NIL NIL) (-834 1951085 1952270 1953441 "OMDEV" 1956039 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1950154 1950325 1950519 "OMCONN" 1950911 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1948675 1949651 1949679 "OINTDOM" 1949684 T OINTDOM (NIL) -9 NIL 1949705 NIL) (-831 1946013 1947363 1947700 "OFMONOID" 1948370 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1945385 1945950 1945995 "ODVAR" 1946000 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1942808 1945130 1945285 "ODR" 1945290 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1935300 1942584 1942710 "ODPOL" 1942715 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1929275 1935172 1935277 "ODP" 1935282 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1928041 1928256 1928531 "ODETOOLS" 1929049 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1925008 1925666 1926382 "ODESYS" 1927374 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1919890 1920798 1921823 "ODERTRIC" 1924083 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1919316 1919398 1919592 "ODERED" 1919802 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1916204 1916752 1917429 "ODERAT" 1918739 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1913163 1913628 1914225 "ODEPRRIC" 1915733 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1911106 1911702 1912188 "ODEPROB" 1912697 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1907626 1908111 1908758 "ODEPRIM" 1910585 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1906875 1906977 1907237 "ODEPAL" 1907518 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1903037 1903828 1904692 "ODEPACK" 1906031 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1902098 1902205 1902427 "ODEINT" 1902926 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1896199 1897624 1899071 "ODEIFTBL" 1900671 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1891597 1892383 1893335 "ODEEF" 1895358 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1890946 1891035 1891258 "ODECONST" 1891502 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1889071 1889732 1889760 "ODECAT" 1890365 T ODECAT (NIL) -9 NIL 1890896 NIL) (-811 1885926 1888776 1888898 "OCT" 1888981 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1885564 1885607 1885734 "OCTCT2" 1885877 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1880175 1882610 1882650 "OC" 1883747 NIL OC (NIL T) -9 NIL 1884605 NIL) (-808 1877402 1878150 1879140 "OC-" 1879234 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1876754 1877222 1877250 "OCAMON" 1877255 T OCAMON (NIL) -9 NIL 1877276 NIL) (-806 1876285 1876626 1876654 "OASGP" 1876659 T OASGP (NIL) -9 NIL 1876679 NIL) (-805 1875546 1876035 1876063 "OAMONS" 1876103 T OAMONS (NIL) -9 NIL 1876146 NIL) (-804 1874960 1875393 1875421 "OAMON" 1875426 T OAMON (NIL) -9 NIL 1875446 NIL) (-803 1874218 1874736 1874764 "OAGROUP" 1874769 T OAGROUP (NIL) -9 NIL 1874789 NIL) (-802 1873908 1873958 1874046 "NUMTUBE" 1874162 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1867481 1868999 1870535 "NUMQUAD" 1872392 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1863237 1864225 1865250 "NUMODE" 1866476 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1860592 1861472 1861500 "NUMINT" 1862423 T NUMINT (NIL) -9 NIL 1863187 NIL) (-798 1859540 1859737 1859955 "NUMFMT" 1860394 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1845899 1848844 1851376 "NUMERIC" 1857047 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1840269 1845348 1845443 "NTSCAT" 1845448 NIL NTSCAT (NIL T T T T) -9 NIL 1845487 NIL) (-795 1839463 1839628 1839821 "NTPOLFN" 1840108 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1827451 1836288 1837100 "NSUP" 1838684 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1827083 1827140 1827249 "NSUP2" 1827388 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1817220 1826857 1826990 "NSMP" 1826995 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1815652 1815953 1816310 "NREP" 1816908 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1814243 1814495 1814853 "NPCOEF" 1815395 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1813309 1813424 1813640 "NORMRETR" 1814124 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1811350 1811640 1812049 "NORMPK" 1813017 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1811035 1811063 1811187 "NORMMA" 1811316 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1810835 1810992 1811021 "NONE" 1811026 T NONE (NIL) -8 NIL NIL NIL) (-785 1810624 1810653 1810722 "NONE1" 1810799 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1810121 1810183 1810362 "NODE1" 1810556 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1808402 1809253 1809508 "NNI" 1809855 T NNI (NIL) -8 NIL NIL 1810090) (-782 1806822 1807135 1807499 "NLINSOL" 1808070 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1803063 1804058 1804957 "NIPROB" 1805943 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1801820 1802054 1802356 "NFINTBAS" 1802825 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1800994 1801470 1801511 "NETCLT" 1801683 NIL NETCLT (NIL T) -9 NIL 1801765 NIL) (-778 1799702 1799933 1800214 "NCODIV" 1800762 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1799464 1799501 1799576 "NCNTFRAC" 1799659 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1797644 1798008 1798428 "NCEP" 1799089 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1796495 1797268 1797296 "NASRING" 1797406 T NASRING (NIL) -9 NIL 1797486 NIL) (-774 1796290 1796334 1796428 "NASRING-" 1796433 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1795397 1795922 1795950 "NARNG" 1796067 T NARNG (NIL) -9 NIL 1796158 NIL) (-772 1795089 1795156 1795290 "NARNG-" 1795295 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1793968 1794175 1794410 "NAGSP" 1794874 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1785240 1786924 1788597 "NAGS" 1792315 T NAGS (NIL) -7 NIL NIL NIL) (-769 1783788 1784096 1784427 "NAGF07" 1784929 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1778326 1779617 1780924 "NAGF04" 1782501 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1771294 1772908 1774541 "NAGF02" 1776713 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1766518 1767618 1768735 "NAGF01" 1770197 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1760146 1761712 1763297 "NAGE04" 1764953 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1751315 1753436 1755566 "NAGE02" 1758036 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1747268 1748215 1749179 "NAGE01" 1750371 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1745063 1745597 1746155 "NAGD03" 1746730 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1736813 1738741 1740695 "NAGD02" 1743129 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1730624 1732049 1733489 "NAGD01" 1735393 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1726833 1727655 1728492 "NAGC06" 1729807 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1725298 1725630 1725986 "NAGC05" 1726497 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1724674 1724793 1724937 "NAGC02" 1725174 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1723633 1724216 1724256 "NAALG" 1724335 NIL NAALG (NIL T) -9 NIL 1724396 NIL) (-755 1723468 1723497 1723587 "NAALG-" 1723592 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1717418 1718526 1719713 "MULTSQFR" 1722364 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1716737 1716812 1716996 "MULTFACT" 1717330 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1709408 1713322 1713375 "MTSCAT" 1714445 NIL MTSCAT (NIL T T) -9 NIL 1714960 NIL) (-751 1709120 1709174 1709266 "MTHING" 1709348 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1708912 1708945 1709005 "MSYSCMD" 1709080 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1704994 1707667 1707987 "MSET" 1708625 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1702063 1704555 1704596 "MSETAGG" 1704601 NIL MSETAGG (NIL T) -9 NIL 1704635 NIL) (-747 1697905 1699442 1700187 "MRING" 1701363 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1697471 1697538 1697669 "MRF2" 1697832 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1697089 1697124 1697268 "MRATFAC" 1697430 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1694701 1694996 1695427 "MPRFF" 1696794 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1688909 1694555 1694652 "MPOLY" 1694657 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1688399 1688434 1688642 "MPCPF" 1688868 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1687913 1687956 1688140 "MPC3" 1688350 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1687108 1687189 1687410 "MPC2" 1687828 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1685409 1685746 1686136 "MONOTOOL" 1686768 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1684634 1684951 1684979 "MONOID" 1685198 T MONOID (NIL) -9 NIL 1685345 NIL) (-737 1684180 1684299 1684480 "MONOID-" 1684485 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1673915 1679958 1680017 "MONOGEN" 1680691 NIL MONOGEN (NIL T T) -9 NIL 1681147 NIL) (-735 1671133 1671868 1672868 "MONOGEN-" 1672987 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1669966 1670412 1670440 "MONADWU" 1670832 T MONADWU (NIL) -9 NIL 1671070 NIL) (-733 1669338 1669497 1669745 "MONADWU-" 1669750 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1668697 1668941 1668969 "MONAD" 1669176 T MONAD (NIL) -9 NIL 1669288 NIL) (-731 1668382 1668460 1668592 "MONAD-" 1668597 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1666671 1667295 1667574 "MOEBIUS" 1668135 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1665949 1666353 1666393 "MODULE" 1666398 NIL MODULE (NIL T) -9 NIL 1666437 NIL) (-728 1665517 1665613 1665803 "MODULE-" 1665808 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1663197 1663881 1664208 "MODRING" 1665341 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1660141 1661302 1661823 "MODOP" 1662726 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1658729 1659208 1659485 "MODMONOM" 1660004 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1648684 1657020 1657434 "MODMON" 1658366 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1645840 1647528 1647804 "MODFIELD" 1648559 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1644817 1645121 1645311 "MMLFORM" 1645670 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1644343 1644386 1644565 "MMAP" 1644768 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1642422 1643189 1643230 "MLO" 1643653 NIL MLO (NIL T) -9 NIL 1643895 NIL) (-719 1639788 1640304 1640906 "MLIFT" 1641903 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1639179 1639263 1639417 "MKUCFUNC" 1639699 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1638778 1638848 1638971 "MKRECORD" 1639102 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1637825 1637987 1638215 "MKFUNC" 1638589 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1637213 1637317 1637473 "MKFLCFN" 1637708 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1636490 1636592 1636777 "MKBCFUNC" 1637106 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1633165 1636044 1636180 "MINT" 1636374 T MINT (NIL) -8 NIL NIL NIL) (-712 1631977 1632220 1632497 "MHROWRED" 1632920 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1627357 1630512 1630917 "MFLOAT" 1631592 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1626714 1626790 1626961 "MFINFACT" 1627269 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1623029 1623877 1624761 "MESH" 1625850 T MESH (NIL) -7 NIL NIL NIL) (-708 1621419 1621731 1622084 "MDDFACT" 1622716 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1618214 1620578 1620619 "MDAGG" 1620874 NIL MDAGG (NIL T) -9 NIL 1621017 NIL) (-706 1607101 1617507 1617714 "MCMPLX" 1618027 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1606238 1606384 1606585 "MCDEN" 1606950 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1604128 1604398 1604778 "MCALCFN" 1605968 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1603053 1603293 1603526 "MAYBE" 1603934 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1600665 1601188 1601750 "MATSTOR" 1602524 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1596622 1600037 1600285 "MATRIX" 1600450 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1592388 1593095 1593831 "MATLIN" 1595979 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1582494 1585680 1585757 "MATCAT" 1590637 NIL MATCAT (NIL T T T) -9 NIL 1592054 NIL) (-698 1578850 1579871 1581227 "MATCAT-" 1581232 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1577444 1577597 1577930 "MATCAT2" 1578685 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1575556 1575880 1576264 "MAPPKG3" 1577119 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1574537 1574710 1574932 "MAPPKG2" 1575380 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1573036 1573320 1573647 "MAPPKG1" 1574243 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1572115 1572442 1572619 "MAPPAST" 1572879 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1571726 1571784 1571907 "MAPHACK3" 1572051 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1571318 1571379 1571493 "MAPHACK2" 1571658 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1570756 1570859 1571001 "MAPHACK1" 1571209 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1568835 1569456 1569760 "MAGMA" 1570484 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1568314 1568559 1568650 "MACROAST" 1568764 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1564732 1566553 1567014 "M3D" 1567886 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1558807 1563071 1563112 "LZSTAGG" 1563894 NIL LZSTAGG (NIL T) -9 NIL 1564189 NIL) (-685 1554765 1555938 1557395 "LZSTAGG-" 1557400 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1551852 1552656 1553143 "LWORD" 1554310 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1551428 1551656 1551731 "LSTAST" 1551797 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1544505 1551199 1551333 "LSQM" 1551338 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1543729 1543868 1544096 "LSPP" 1544360 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1541541 1541842 1542298 "LSMP" 1543418 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1538320 1538994 1539724 "LSMP1" 1540843 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1532166 1537457 1537498 "LSAGG" 1537560 NIL LSAGG (NIL T) -9 NIL 1537638 NIL) (-677 1528861 1529785 1530998 "LSAGG-" 1531003 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1526460 1528005 1528254 "LPOLY" 1528656 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1526042 1526127 1526250 "LPEFRAC" 1526369 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1524363 1525136 1525389 "LO" 1525874 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1524015 1524127 1524155 "LOGIC" 1524266 T LOGIC (NIL) -9 NIL 1524347 NIL) (-672 1523877 1523900 1523971 "LOGIC-" 1523976 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1523070 1523210 1523403 "LODOOPS" 1523733 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1520493 1522986 1523052 "LODO" 1523057 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1519031 1519266 1519619 "LODOF" 1520240 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1515235 1517666 1517707 "LODOCAT" 1518145 NIL LODOCAT (NIL T) -9 NIL 1518356 NIL) (-667 1514968 1515026 1515153 "LODOCAT-" 1515158 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1512288 1514809 1514927 "LODO2" 1514932 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1509723 1512225 1512270 "LODO1" 1512275 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1508604 1508769 1509074 "LODEEF" 1509546 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1503907 1506798 1506839 "LNAGG" 1507701 NIL LNAGG (NIL T) -9 NIL 1508136 NIL) (-662 1503054 1503268 1503610 "LNAGG-" 1503615 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1499190 1499979 1500618 "LMOPS" 1502469 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1498593 1498981 1499022 "LMODULE" 1499027 NIL LMODULE (NIL T) -9 NIL 1499053 NIL) (-659 1495791 1498238 1498361 "LMDICT" 1498503 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1495197 1495418 1495459 "LLINSET" 1495650 NIL LLINSET (NIL T) -9 NIL 1495741 NIL) (-657 1494896 1495105 1495165 "LITERAL" 1495170 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1488059 1493830 1494134 "LIST" 1494625 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1487584 1487658 1487797 "LIST3" 1487979 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1486591 1486769 1486997 "LIST2" 1487402 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1484725 1485037 1485436 "LIST2MAP" 1486238 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1484321 1484558 1484599 "LINSET" 1484604 NIL LINSET (NIL T) -9 NIL 1484638 NIL) (-651 1483050 1483583 1483624 "LINEXP" 1483975 NIL LINEXP (NIL T) -9 NIL 1484166 NIL) (-650 1481627 1481887 1482198 "LINDEP" 1482802 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1478394 1479113 1479890 "LIMITRF" 1480882 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1476697 1476993 1477402 "LIMITPS" 1478089 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1471125 1476208 1476436 "LIE" 1476518 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1470073 1470542 1470582 "LIECAT" 1470722 NIL LIECAT (NIL T) -9 NIL 1470873 NIL) (-645 1469914 1469941 1470029 "LIECAT-" 1470034 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1462501 1469454 1469610 "LIB" 1469778 T LIB (NIL) -8 NIL NIL NIL) (-643 1458136 1459019 1459954 "LGROBP" 1461618 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1456134 1456408 1456758 "LF" 1457857 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1454974 1455666 1455694 "LFCAT" 1455901 T LFCAT (NIL) -9 NIL 1456040 NIL) (-640 1451876 1452506 1453194 "LEXTRIPK" 1454338 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1448620 1449446 1449949 "LEXP" 1451456 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1448096 1448341 1448433 "LETAST" 1448548 T LETAST (NIL) -8 NIL NIL NIL) (-637 1446494 1446807 1447208 "LEADCDET" 1447778 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1445684 1445758 1445987 "LAZM3PK" 1446415 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1440601 1443761 1444299 "LAUPOL" 1445196 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1440180 1440224 1440385 "LAPLACE" 1440551 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1438119 1439281 1439532 "LA" 1440013 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1437113 1437697 1437738 "LALG" 1437800 NIL LALG (NIL T) -9 NIL 1437859 NIL) (-631 1436827 1436886 1437022 "LALG-" 1437027 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1436662 1436686 1436727 "KVTFROM" 1436789 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1435585 1436029 1436214 "KTVLOGIC" 1436497 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1435420 1435444 1435485 "KRCFROM" 1435547 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1434324 1434511 1434810 "KOVACIC" 1435220 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1434159 1434183 1434224 "KONVERT" 1434286 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1433994 1434018 1434059 "KOERCE" 1434121 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1431825 1432587 1432964 "KERNEL" 1433650 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1431321 1431402 1431534 "KERNEL2" 1431739 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1425091 1429860 1429914 "KDAGG" 1430291 NIL KDAGG (NIL T T) -9 NIL 1430497 NIL) (-621 1424620 1424744 1424949 "KDAGG-" 1424954 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1417768 1424281 1424436 "KAFILE" 1424498 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1412196 1417279 1417507 "JORDAN" 1417589 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1411575 1411845 1411966 "JOINAST" 1412095 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1411421 1411480 1411535 "JAVACODE" 1411540 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1407673 1409626 1409680 "IXAGG" 1410609 NIL IXAGG (NIL T T) -9 NIL 1411068 NIL) (-615 1406592 1406898 1407317 "IXAGG-" 1407322 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1402122 1406514 1406573 "IVECTOR" 1406578 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1400888 1401125 1401391 "ITUPLE" 1401889 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1399390 1399567 1399862 "ITRIGMNP" 1400710 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1398135 1398339 1398622 "ITFUN3" 1399166 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1397767 1397824 1397933 "ITFUN2" 1398072 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1396926 1397247 1397421 "ITFORM" 1397613 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1394887 1395946 1396224 "ITAYLOR" 1396681 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1383832 1389024 1390187 "ISUPS" 1393757 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1382936 1383076 1383312 "ISUMP" 1383679 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1378311 1382881 1382922 "ISTRING" 1382927 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1377787 1378032 1378124 "ISAST" 1378239 T ISAST (NIL) -8 NIL NIL NIL) (-603 1376996 1377078 1377294 "IRURPK" 1377701 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1375932 1376133 1376373 "IRSN" 1376776 T IRSN (NIL) -7 NIL NIL NIL) (-601 1374003 1374358 1374787 "IRRF2F" 1375570 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1373750 1373788 1373864 "IRREDFFX" 1373959 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1372365 1372624 1372923 "IROOT" 1373483 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1368969 1370049 1370741 "IR" 1371705 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1368174 1368462 1368613 "IRFORM" 1368838 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1365787 1366282 1366848 "IR2" 1367652 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1364887 1365000 1365214 "IR2F" 1365670 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1364678 1364712 1364772 "IPRNTPK" 1364847 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1361259 1364567 1364636 "IPF" 1364641 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1359586 1361184 1361241 "IPADIC" 1361246 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1358898 1359146 1359276 "IP4ADDR" 1359476 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1358272 1358527 1358659 "IOMODE" 1358786 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1357345 1357869 1357996 "IOBFILE" 1358165 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1356833 1357249 1357277 "IOBCON" 1357282 T IOBCON (NIL) -9 NIL 1357303 NIL) (-587 1356344 1356402 1356585 "INVLAPLA" 1356769 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1345992 1348346 1350732 "INTTR" 1354008 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1342327 1343069 1343934 "INTTOOLS" 1345177 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1341913 1342004 1342121 "INTSLPE" 1342230 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1339866 1341836 1341895 "INTRVL" 1341900 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1337468 1337980 1338555 "INTRF" 1339351 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1336879 1336976 1337118 "INTRET" 1337366 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1334876 1335265 1335735 "INTRAT" 1336487 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1332139 1332722 1333341 "INTPM" 1334361 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1328884 1329483 1330221 "INTPAF" 1331525 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1324063 1325025 1326076 "INTPACK" 1327853 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1320961 1323860 1323969 "INT" 1323974 T INT (NIL) -8 NIL NIL NIL) (-575 1320213 1320365 1320573 "INTHERTR" 1320803 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1319652 1319732 1319920 "INTHERAL" 1320127 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1317498 1317941 1318398 "INTHEORY" 1319215 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1308904 1310525 1312297 "INTG0" 1315850 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1289477 1294267 1299077 "INTFTBL" 1304114 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1288726 1288864 1289037 "INTFACT" 1289336 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1286153 1286599 1287156 "INTEF" 1288280 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1284520 1285259 1285287 "INTDOM" 1285588 T INTDOM (NIL) -9 NIL 1285795 NIL) (-567 1283889 1284063 1284305 "INTDOM-" 1284310 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1280277 1282205 1282259 "INTCAT" 1283058 NIL INTCAT (NIL T) -9 NIL 1283379 NIL) (-565 1279749 1279852 1279980 "INTBIT" 1280169 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1278448 1278602 1278909 "INTALG" 1279594 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1277931 1278021 1278178 "INTAF" 1278352 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1271274 1277741 1277881 "INTABL" 1277886 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1270607 1271073 1271138 "INT8" 1271172 T INT8 (NIL) -8 NIL NIL 1271217) (-560 1269939 1270405 1270470 "INT64" 1270504 T INT64 (NIL) -8 NIL NIL 1270549) (-559 1269271 1269737 1269802 "INT32" 1269836 T INT32 (NIL) -8 NIL NIL 1269881) (-558 1268603 1269069 1269134 "INT16" 1269168 T INT16 (NIL) -8 NIL NIL 1269213) (-557 1263398 1266164 1266192 "INS" 1267126 T INS (NIL) -9 NIL 1267791 NIL) (-556 1260638 1261409 1262383 "INS-" 1262456 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1259413 1259640 1259938 "INPSIGN" 1260391 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1258531 1258648 1258845 "INPRODPF" 1259293 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1257425 1257542 1257779 "INPRODFF" 1258411 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1256425 1256577 1256837 "INNMFACT" 1257261 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1255622 1255719 1255907 "INMODGCD" 1256324 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1254130 1254375 1254699 "INFSP" 1255367 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1253314 1253431 1253614 "INFPROD0" 1254010 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1250169 1251379 1251894 "INFORM" 1252807 T INFORM (NIL) -8 NIL NIL NIL) (-547 1249779 1249839 1249937 "INFORM1" 1250104 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1249302 1249391 1249505 "INFINITY" 1249685 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1248478 1249022 1249123 "INETCLTS" 1249221 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1247094 1247344 1247665 "INEP" 1248226 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1246343 1246991 1247056 "INDE" 1247061 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1245907 1245975 1246092 "INCRMAPS" 1246270 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1244725 1245176 1245382 "INBFILE" 1245721 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1240024 1240961 1241905 "INBFF" 1243813 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1238932 1239201 1239229 "INBCON" 1239742 T INBCON (NIL) -9 NIL 1240008 NIL) (-538 1238184 1238407 1238683 "INBCON-" 1238688 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1237663 1237908 1237999 "INAST" 1238113 T INAST (NIL) -8 NIL NIL NIL) (-536 1237090 1237342 1237448 "IMPTAST" 1237577 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1233536 1236934 1237038 "IMATRIX" 1237043 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1232244 1232367 1232683 "IMATQF" 1233392 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1230464 1230691 1231028 "IMATLIN" 1232000 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1225042 1230388 1230446 "ILIST" 1230451 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1222947 1224902 1225015 "IIARRAY2" 1225020 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1218345 1222858 1222922 "IFF" 1222927 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1217692 1217962 1218078 "IFAST" 1218249 T IFAST (NIL) -8 NIL NIL NIL) (-528 1212687 1216984 1217172 "IFARRAY" 1217549 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1211867 1212591 1212664 "IFAMON" 1212669 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1211451 1211516 1211570 "IEVALAB" 1211777 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1211126 1211194 1211354 "IEVALAB-" 1211359 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1210757 1211040 1211103 "IDPO" 1211108 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1210007 1210646 1210721 "IDPOAMS" 1210726 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1209314 1209896 1209971 "IDPOAM" 1209976 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1208373 1208649 1208702 "IDPC" 1209115 NIL IDPC (NIL T T) -9 NIL 1209264 NIL) (-520 1207842 1208265 1208338 "IDPAM" 1208343 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1207218 1207734 1207807 "IDPAG" 1207812 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1206863 1207054 1207129 "IDENT" 1207163 T IDENT (NIL) -8 NIL NIL NIL) (-517 1203118 1203966 1204861 "IDECOMP" 1206020 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1195955 1197041 1198088 "IDEAL" 1202154 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1195115 1195227 1195427 "ICDEN" 1195839 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1194186 1194595 1194742 "ICARD" 1194988 T ICARD (NIL) -8 NIL NIL NIL) (-513 1192246 1192559 1192964 "IBPTOOLS" 1193863 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1187853 1191866 1191979 "IBITS" 1192165 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1184576 1185152 1185847 "IBATOOL" 1187270 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1182355 1182817 1183350 "IBACHIN" 1184111 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1180184 1182201 1182304 "IARRAY2" 1182309 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1176290 1180110 1180167 "IARRAY1" 1180172 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1170328 1174702 1175183 "IAN" 1175829 T IAN (NIL) -8 NIL NIL NIL) (-506 1169839 1169896 1170069 "IALGFACT" 1170265 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1169367 1169480 1169508 "HYPCAT" 1169715 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1168905 1169022 1169208 "HYPCAT-" 1169213 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1168500 1168700 1168783 "HOSTNAME" 1168842 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1168345 1168382 1168423 "HOMOTOP" 1168428 NIL HOMOTOP (NIL T) -9 NIL 1168461 NIL) (-501 1164977 1166355 1166396 "HOAGG" 1167377 NIL HOAGG (NIL T) -9 NIL 1168056 NIL) (-500 1163571 1163970 1164496 "HOAGG-" 1164501 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1157480 1163164 1163314 "HEXADEC" 1163441 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1156228 1156450 1156713 "HEUGCD" 1157257 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1155304 1156065 1156195 "HELLFDIV" 1156200 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1153483 1155081 1155169 "HEAP" 1155248 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1152746 1153035 1153169 "HEADAST" 1153369 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1146765 1152661 1152723 "HDP" 1152728 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1140664 1146400 1146552 "HDMP" 1146666 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1139988 1140128 1140292 "HB" 1140520 T HB (NIL) -7 NIL NIL NIL) (-491 1133374 1139834 1139938 "HASHTBL" 1139943 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1132850 1133095 1133187 "HASAST" 1133302 T HASAST (NIL) -8 NIL NIL NIL) (-489 1130628 1132472 1132654 "HACKPI" 1132688 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1126296 1130481 1130594 "GTSET" 1130599 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1119711 1126174 1126272 "GSTBL" 1126277 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1112098 1118876 1119132 "GSERIES" 1119511 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1111239 1111656 1111684 "GROUP" 1111887 T GROUP (NIL) -9 NIL 1112021 NIL) (-484 1110605 1110764 1111015 "GROUP-" 1111020 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1108972 1109293 1109680 "GROEBSOL" 1110282 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1107886 1108174 1108225 "GRMOD" 1108754 NIL GRMOD (NIL T T) -9 NIL 1108922 NIL) (-481 1107654 1107690 1107818 "GRMOD-" 1107823 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1102944 1104008 1105008 "GRIMAGE" 1106674 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1101410 1101671 1101995 "GRDEF" 1102640 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1100854 1100970 1101111 "GRAY" 1101289 T GRAY (NIL) -7 NIL NIL NIL) (-477 1100041 1100447 1100498 "GRALG" 1100651 NIL GRALG (NIL T T) -9 NIL 1100744 NIL) (-476 1099702 1099775 1099938 "GRALG-" 1099943 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1096479 1099287 1099465 "GPOLSET" 1099609 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1095833 1095890 1096148 "GOSPER" 1096416 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1091565 1092271 1092797 "GMODPOL" 1095532 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1090570 1090754 1090992 "GHENSEL" 1091377 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1084726 1085569 1086589 "GENUPS" 1089654 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1084423 1084474 1084563 "GENUFACT" 1084669 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1083835 1083912 1084077 "GENPGCD" 1084341 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1083309 1083344 1083557 "GENMFACT" 1083794 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1081875 1082132 1082439 "GENEEZ" 1083052 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1075934 1081486 1081648 "GDMP" 1081798 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1065277 1069705 1070811 "GCNAALG" 1074917 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1063604 1064466 1064494 "GCDDOM" 1064749 T GCDDOM (NIL) -9 NIL 1064906 NIL) (-463 1063074 1063201 1063416 "GCDDOM-" 1063421 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1061746 1061931 1062235 "GB" 1062853 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1050362 1052692 1055084 "GBINTERN" 1059437 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1048199 1048491 1048912 "GBF" 1050037 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1046980 1047145 1047412 "GBEUCLID" 1048015 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1046329 1046454 1046603 "GAUSSFAC" 1046851 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1044696 1044998 1045312 "GALUTIL" 1046048 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1043004 1043278 1043602 "GALPOLYU" 1044423 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1040369 1040659 1041066 "GALFACTU" 1042701 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1032175 1033674 1035282 "GALFACT" 1038801 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1029563 1030221 1030249 "FVFUN" 1031405 T FVFUN (NIL) -9 NIL 1032125 NIL) (-452 1028829 1029011 1029039 "FVC" 1029330 T FVC (NIL) -9 NIL 1029513 NIL) (-451 1028472 1028654 1028722 "FUNDESC" 1028781 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1028087 1028269 1028350 "FUNCTION" 1028424 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1025831 1026409 1026875 "FT" 1027641 T FT (NIL) -8 NIL NIL NIL) (-448 1024622 1025132 1025335 "FTEM" 1025648 T FTEM (NIL) -8 NIL NIL NIL) (-447 1022913 1023202 1023599 "FSUPFACT" 1024313 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1021310 1021599 1021931 "FST" 1022601 T FST (NIL) -8 NIL NIL NIL) (-445 1020509 1020615 1020803 "FSRED" 1021192 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1019208 1019464 1019811 "FSPRMELT" 1020224 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1016514 1016952 1017438 "FSPECF" 1018771 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 997816 1006288 1006329 "FS" 1010213 NIL FS (NIL T) -9 NIL 1012502 NIL) (-441 986459 989452 993509 "FS-" 993809 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 985987 986041 986211 "FSINT" 986400 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 984279 984980 985283 "FSERIES" 985766 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 983321 983437 983661 "FSCINT" 984159 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 979529 982265 982306 "FSAGG" 982676 NIL FSAGG (NIL T) -9 NIL 982935 NIL) (-436 977291 977892 978688 "FSAGG-" 978783 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 976333 976476 976703 "FSAGG2" 977144 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 974011 974291 974839 "FS2UPS" 976051 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 973645 973688 973817 "FS2" 973962 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 972523 972694 972996 "FS2EXPXP" 973470 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 971949 972064 972216 "FRUTIL" 972403 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 963362 967444 968802 "FR" 970623 NIL FR (NIL T) -8 NIL NIL NIL) (-429 958376 961051 961091 "FRNAALG" 962411 NIL FRNAALG (NIL T) -9 NIL 963009 NIL) (-428 954049 955125 956400 "FRNAALG-" 957150 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 953687 953730 953857 "FRNAAF2" 954000 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 952062 952536 952832 "FRMOD" 953499 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 949805 950437 950755 "FRIDEAL" 951853 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 948996 949083 949374 "FRIDEAL2" 949712 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 948129 948543 948584 "FRETRCT" 948589 NIL FRETRCT (NIL T) -9 NIL 948765 NIL) (-422 947241 947472 947823 "FRETRCT-" 947828 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 944329 945539 945598 "FRAMALG" 946480 NIL FRAMALG (NIL T T) -9 NIL 946772 NIL) (-420 942463 942918 943548 "FRAMALG-" 943771 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 936293 941936 942213 "FRAC" 942218 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 935929 935986 936093 "FRAC2" 936230 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 935565 935622 935729 "FR2" 935866 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 930078 932971 932999 "FPS" 934118 T FPS (NIL) -9 NIL 934675 NIL) (-415 929527 929636 929800 "FPS-" 929946 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 926829 928498 928526 "FPC" 928751 T FPC (NIL) -9 NIL 928893 NIL) (-413 926622 926662 926759 "FPC-" 926764 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 925412 926110 926151 "FPATMAB" 926156 NIL FPATMAB (NIL T) -9 NIL 926308 NIL) (-411 923651 924154 924501 "FPARFRAC" 925128 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 919045 919543 920225 "FORTRAN" 923083 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 916761 917261 917800 "FORT" 918526 T FORT (NIL) -7 NIL NIL NIL) (-408 914437 914999 915027 "FORTFN" 916087 T FORTFN (NIL) -9 NIL 916711 NIL) (-407 914201 914251 914279 "FORTCAT" 914338 T FORTCAT (NIL) -9 NIL 914400 NIL) (-406 912307 912817 913207 "FORMULA" 913831 T FORMULA (NIL) -8 NIL NIL NIL) (-405 912095 912125 912194 "FORMULA1" 912271 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 911618 911670 911843 "FORDER" 912037 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 910714 910878 911071 "FOP" 911445 T FOP (NIL) -7 NIL NIL NIL) (-402 909295 909994 910168 "FNLA" 910596 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 908024 908439 908467 "FNCAT" 908927 T FNCAT (NIL) -9 NIL 909187 NIL) (-400 907563 907983 908011 "FNAME" 908016 T FNAME (NIL) -8 NIL NIL NIL) (-399 906126 907089 907117 "FMTC" 907122 T FMTC (NIL) -9 NIL 907158 NIL) (-398 904872 906062 906108 "FMONOID" 906113 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 901700 902868 902909 "FMONCAT" 904126 NIL FMONCAT (NIL T) -9 NIL 904731 NIL) (-396 900892 901442 901591 "FM" 901596 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 898316 898962 898990 "FMFUN" 900134 T FMFUN (NIL) -9 NIL 900842 NIL) (-394 897585 897766 897794 "FMC" 898084 T FMC (NIL) -9 NIL 898266 NIL) (-393 894664 895524 895578 "FMCAT" 896773 NIL FMCAT (NIL T T) -9 NIL 897268 NIL) (-392 893530 894430 894530 "FM1" 894609 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 891304 891720 892214 "FLOATRP" 893081 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 884882 889033 889654 "FLOAT" 890703 T FLOAT (NIL) -8 NIL NIL NIL) (-389 882320 882820 883398 "FLOATCP" 884349 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 881167 881926 881967 "FLINEXP" 881972 NIL FLINEXP (NIL T) -9 NIL 882065 NIL) (-387 880099 880396 880804 "FLINEXP-" 880809 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 879175 879319 879543 "FLASORT" 879951 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 876291 877159 877211 "FLALG" 878438 NIL FLALG (NIL T T) -9 NIL 878905 NIL) (-384 869995 873747 873788 "FLAGG" 875050 NIL FLAGG (NIL T) -9 NIL 875702 NIL) (-383 868721 869060 869550 "FLAGG-" 869555 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 867763 867906 868133 "FLAGG2" 868574 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 864614 865622 865681 "FINRALG" 866809 NIL FINRALG (NIL T T) -9 NIL 867317 NIL) (-380 863774 864003 864342 "FINRALG-" 864347 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 863154 863393 863421 "FINITE" 863617 T FINITE (NIL) -9 NIL 863724 NIL) (-378 855511 857698 857738 "FINAALG" 861405 NIL FINAALG (NIL T) -9 NIL 862858 NIL) (-377 850843 851893 853037 "FINAALG-" 854416 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 850211 850598 850701 "FILE" 850773 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 848869 849207 849261 "FILECAT" 849945 NIL FILECAT (NIL T T) -9 NIL 850161 NIL) (-374 846585 848113 848141 "FIELD" 848181 T FIELD (NIL) -9 NIL 848261 NIL) (-373 845205 845590 846101 "FIELD-" 846106 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 843055 843840 844187 "FGROUP" 844891 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 842145 842309 842529 "FGLMICPK" 842887 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 837977 842070 842127 "FFX" 842132 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 837578 837639 837774 "FFSLPE" 837910 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 833568 834350 835146 "FFPOLY" 836814 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 833072 833108 833317 "FFPOLY2" 833526 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 828918 832991 833054 "FFP" 833059 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 824316 828829 828893 "FF" 828898 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 819442 823659 823849 "FFNBX" 824170 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 814370 818577 818835 "FFNBP" 819296 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 809003 813654 813865 "FFNB" 814203 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 807835 808033 808348 "FFINTBAS" 808800 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 803861 806082 806110 "FFIELDC" 806730 T FFIELDC (NIL) -9 NIL 807106 NIL) (-359 802523 802894 803391 "FFIELDC-" 803396 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 802092 802138 802262 "FFHOM" 802465 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 799787 800274 800791 "FFF" 801607 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 795405 799529 799630 "FFCGX" 799730 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 791027 795137 795244 "FFCGP" 795348 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 786210 790754 790862 "FFCG" 790963 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 765891 775886 775972 "FFCAT" 781137 NIL FFCAT (NIL T T T) -9 NIL 782588 NIL) (-352 761088 762136 763450 "FFCAT-" 764680 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 760499 760542 760777 "FFCAT2" 761039 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 749822 753471 754691 "FEXPR" 759351 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 748784 749219 749260 "FEVALAB" 749344 NIL FEVALAB (NIL T) -9 NIL 749605 NIL) (-348 747943 748153 748491 "FEVALAB-" 748496 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 746509 747326 747529 "FDIV" 747842 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 743529 744270 744385 "FDIVCAT" 745953 NIL FDIVCAT (NIL T T T T) -9 NIL 746390 NIL) (-345 743291 743318 743488 "FDIVCAT-" 743493 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 742511 742598 742875 "FDIV2" 743198 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 741485 741806 742008 "FCTRDATA" 742329 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 740171 740430 740719 "FCPAK1" 741216 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 739270 739671 739812 "FCOMP" 740062 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 722975 726420 729958 "FC" 735752 T FC (NIL) -8 NIL NIL NIL) (-339 715254 719282 719322 "FAXF" 721124 NIL FAXF (NIL T) -9 NIL 721816 NIL) (-338 712531 713188 714013 "FAXF-" 714478 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 707583 711907 712083 "FARRAY" 712388 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 702477 704544 704597 "FAMR" 705620 NIL FAMR (NIL T T) -9 NIL 706080 NIL) (-335 701367 701669 702104 "FAMR-" 702109 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 700536 701289 701342 "FAMONOID" 701347 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 698322 699032 699085 "FAMONC" 700026 NIL FAMONC (NIL T T) -9 NIL 700412 NIL) (-332 696986 698076 698213 "FAGROUP" 698218 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 694781 695100 695503 "FACUTIL" 696667 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 693880 694065 694287 "FACTFUNC" 694591 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 686302 693183 693382 "EXPUPXS" 693736 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 683785 684325 684911 "EXPRTUBE" 685736 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 680056 680648 681378 "EXPRODE" 683124 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 665775 678705 679134 "EXPR" 679660 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 660329 660916 661722 "EXPR2UPS" 665073 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 659961 660018 660127 "EXPR2" 660266 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 651214 659112 659403 "EXPEXPAN" 659797 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 651014 651171 651200 "EXIT" 651205 T EXIT (NIL) -8 NIL NIL NIL) (-321 650494 650738 650829 "EXITAST" 650943 T EXITAST (NIL) -8 NIL NIL NIL) (-320 650121 650183 650296 "EVALCYC" 650426 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 649662 649780 649821 "EVALAB" 649991 NIL EVALAB (NIL T) -9 NIL 650095 NIL) (-318 649143 649265 649486 "EVALAB-" 649491 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 646511 647813 647841 "EUCDOM" 648396 T EUCDOM (NIL) -9 NIL 648746 NIL) (-316 644916 645358 645948 "EUCDOM-" 645953 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 632455 635214 637964 "ESTOOLS" 642186 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 632087 632144 632253 "ESTOOLS2" 632392 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 631838 631880 631960 "ESTOOLS1" 632039 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 625875 627483 627511 "ES" 630279 T ES (NIL) -9 NIL 631689 NIL) (-311 620822 622109 623926 "ES-" 624090 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 617196 617957 618737 "ESCONT" 620062 T ESCONT (NIL) -7 NIL NIL NIL) (-309 616941 616973 617055 "ESCONT1" 617158 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 616616 616666 616766 "ES2" 616885 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 616246 616304 616413 "ES1" 616552 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 615462 615591 615767 "ERROR" 616090 T ERROR (NIL) -7 NIL NIL NIL) (-305 608854 615321 615412 "EQTBL" 615417 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 601357 604168 605617 "EQ" 607438 NIL -3066 (NIL T) -8 NIL NIL NIL) (-303 600989 601046 601155 "EQ2" 601294 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 596280 597327 598420 "EP" 599928 NIL EP (NIL T) -7 NIL NIL NIL) (-301 594880 595171 595477 "ENV" 595994 T ENV (NIL) -8 NIL NIL NIL) (-300 593974 594528 594556 "ENTIRER" 594561 T ENTIRER (NIL) -9 NIL 594607 NIL) (-299 590668 592156 592517 "EMR" 593782 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 589798 589983 590037 "ELTAGG" 590417 NIL ELTAGG (NIL T T) -9 NIL 590628 NIL) (-297 589517 589579 589720 "ELTAGG-" 589725 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 589281 589310 589364 "ELTAB" 589448 NIL ELTAB (NIL T T) -9 NIL 589500 NIL) (-295 588407 588553 588752 "ELFUTS" 589132 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 588149 588205 588233 "ELEMFUN" 588338 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 588019 588040 588108 "ELEMFUN-" 588113 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 582833 586089 586130 "ELAGG" 587070 NIL ELAGG (NIL T) -9 NIL 587533 NIL) (-291 581118 581552 582215 "ELAGG-" 582220 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 580430 580567 580723 "ELABOR" 580982 T ELABOR (NIL) -8 NIL NIL NIL) (-289 579091 579370 579664 "ELABEXPR" 580156 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 571925 573728 574557 "EFUPXS" 578366 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 565373 567174 567985 "EFULS" 571200 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 562858 563216 563688 "EFSTRUC" 565005 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 552649 554215 555763 "EF" 561373 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 551723 552134 552283 "EAB" 552520 T EAB (NIL) -8 NIL NIL NIL) (-283 550905 551682 551710 "E04UCFA" 551715 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 550087 550864 550892 "E04NAFA" 550897 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 549269 550046 550074 "E04MBFA" 550079 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 548451 549228 549256 "E04JAFA" 549261 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 547635 548410 548438 "E04GCFA" 548443 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 546819 547594 547622 "E04FDFA" 547627 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 546001 546778 546806 "E04DGFA" 546811 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 540174 541526 542890 "E04AGNT" 544657 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 538945 539488 539528 "DVARCAT" 539869 NIL DVARCAT (NIL T) -9 NIL 540032 NIL) (-274 538149 538361 538675 "DVARCAT-" 538680 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 531197 537948 538077 "DSMP" 538082 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 529620 530339 530380 "DSEXT" 530743 NIL DSEXT (NIL T) -9 NIL 531037 NIL) (-271 527905 528333 528999 "DSEXT-" 529004 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 522686 523850 524918 "DROPT" 526857 T DROPT (NIL) -8 NIL NIL NIL) (-269 522351 522410 522508 "DROPT1" 522621 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 517466 518592 519729 "DROPT0" 521234 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 515811 516136 516522 "DRAWPT" 517100 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 510398 511321 512400 "DRAW" 514785 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 510031 510084 510202 "DRAWHACK" 510339 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 508762 509031 509322 "DRAWCX" 509760 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 508277 508346 508497 "DRAWCURV" 508688 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 498745 500707 502822 "DRAWCFUN" 506182 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 495509 497438 497479 "DQAGG" 498108 NIL DQAGG (NIL T) -9 NIL 498382 NIL) (-260 483161 489720 489803 "DPOLCAT" 491655 NIL DPOLCAT (NIL T T T T) -9 NIL 492200 NIL) (-259 477998 479346 481304 "DPOLCAT-" 481309 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 471580 477859 477957 "DPMO" 477962 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 465065 471360 471527 "DPMM" 471532 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 464635 464849 464938 "DOMTMPLT" 464996 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 464068 464437 464517 "DOMCTOR" 464575 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 463280 463548 463699 "DOMAIN" 463937 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 457179 462915 463067 "DMP" 463181 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 455124 456246 456287 "DMEXT" 456292 NIL DMEXT (NIL T) -9 NIL 456468 NIL) (-251 454724 454780 454924 "DLP" 455062 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 448546 454051 454241 "DLIST" 454566 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 445343 447399 447440 "DLAGG" 447990 NIL DLAGG (NIL T) -9 NIL 448220 NIL) (-248 444019 444683 444711 "DIVRING" 444803 T DIVRING (NIL) -9 NIL 444886 NIL) (-247 443256 443446 443746 "DIVRING-" 443751 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 441358 441715 442121 "DISPLAY" 442870 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 435397 441272 441335 "DIRPROD" 441340 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 434245 434448 434713 "DIRPROD2" 435190 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 423173 429031 429084 "DIRPCAT" 429342 NIL DIRPCAT (NIL NIL T) -9 NIL 430217 NIL) (-242 420277 420981 421942 "DIRPCAT-" 422279 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 419564 419724 419910 "DIOSP" 420111 T DIOSP (NIL) -7 NIL NIL NIL) (-240 416219 418476 418517 "DIOPS" 418951 NIL DIOPS (NIL T) -9 NIL 419180 NIL) (-239 415768 415882 416073 "DIOPS-" 416078 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 414819 415447 415475 "DIFRING" 415480 T DIFRING (NIL) -9 NIL 415502 NIL) (-237 414491 414565 414593 "DIFFSPC" 414712 T DIFFSPC (NIL) -9 NIL 414787 NIL) (-236 414136 414214 414366 "DIFFSPC-" 414371 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 413192 413670 413711 "DIFFMOD" 413716 NIL DIFFMOD (NIL T) -9 NIL 413814 NIL) (-234 412900 412945 412986 "DIFFDOM" 413107 NIL DIFFDOM (NIL T) -9 NIL 413175 NIL) (-233 412753 412777 412861 "DIFFDOM-" 412866 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 410685 411957 411998 "DIFEXT" 412003 NIL DIFEXT (NIL T) -9 NIL 412156 NIL) (-231 407960 410217 410258 "DIAGG" 410263 NIL DIAGG (NIL T) -9 NIL 410283 NIL) (-230 407344 407501 407753 "DIAGG-" 407758 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 402761 406303 406580 "DHMATRIX" 407113 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 398373 399282 400292 "DFSFUN" 401771 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 393453 397304 397616 "DFLOAT" 398081 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 391716 391997 392386 "DFINTTLS" 393161 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 388745 389737 390137 "DERHAM" 391382 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 386546 388520 388609 "DEQUEUE" 388689 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 385800 385933 386116 "DEGRED" 386408 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 382230 382975 383821 "DEFINTRF" 385028 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 379785 380254 380846 "DEFINTEF" 381749 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 379135 379405 379520 "DEFAST" 379690 T DEFAST (NIL) -8 NIL NIL NIL) (-219 373044 378728 378878 "DECIMAL" 379005 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 370556 371014 371520 "DDFACT" 372588 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 370152 370195 370346 "DBLRESP" 370507 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 368020 368382 368743 "DBASE" 369918 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 367262 367500 367646 "DATAARY" 367919 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 366368 367221 367249 "D03FAFA" 367254 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 365475 366327 366355 "D03EEFA" 366360 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 363425 363891 364380 "D03AGNT" 365006 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 362714 363384 363412 "D02EJFA" 363417 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 362003 362673 362701 "D02CJFA" 362706 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 361292 361962 361990 "D02BHFA" 361995 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 360581 361251 361279 "D02BBFA" 361284 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 353778 355367 356973 "D02AGNT" 358995 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 351546 352069 352615 "D01WGTS" 353252 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 350613 351505 351533 "D01TRNS" 351538 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 349681 350572 350600 "D01GBFA" 350605 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 348749 349640 349668 "D01FCFA" 349673 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 347817 348708 348736 "D01ASFA" 348741 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 346885 347776 347804 "D01AQFA" 347809 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 345953 346844 346872 "D01APFA" 346877 T D01APFA (NIL) -8 NIL NIL NIL) (-199 345021 345912 345940 "D01ANFA" 345945 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 344089 344980 345008 "D01AMFA" 345013 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 343157 344048 344076 "D01ALFA" 344081 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 342225 343116 343144 "D01AKFA" 343149 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 341293 342184 342212 "D01AJFA" 342217 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 334588 336141 337702 "D01AGNT" 339752 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 333925 334053 334205 "CYCLOTOM" 334456 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 330658 331373 332100 "CYCLES" 333218 T CYCLES (NIL) -7 NIL NIL NIL) (-191 329970 330104 330275 "CVMP" 330519 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 327811 328069 328438 "CTRIGMNP" 329698 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 327247 327605 327678 "CTOR" 327758 T CTOR (NIL) -8 NIL NIL NIL) (-188 326756 326978 327079 "CTORKIND" 327166 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 326047 326363 326391 "CTORCAT" 326573 T CTORCAT (NIL) -9 NIL 326686 NIL) (-186 325645 325756 325915 "CTORCAT-" 325920 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 325107 325319 325427 "CTORCALL" 325569 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 324481 324580 324733 "CSTTOOLS" 325004 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 320280 320937 321695 "CRFP" 323793 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 319755 320001 320093 "CRCEAST" 320208 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 318802 318987 319215 "CRAPACK" 319559 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 318186 318287 318491 "CPMATCH" 318678 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 317911 317939 318045 "CPIMA" 318152 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 314259 314931 315650 "COORDSYS" 317246 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 313671 313792 313934 "CONTOUR" 314137 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 309562 311674 312166 "CONTFRAC" 313211 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 309442 309463 309491 "CONDUIT" 309528 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 308530 309084 309112 "COMRING" 309117 T COMRING (NIL) -9 NIL 309169 NIL) (-173 307584 307888 308072 "COMPPROP" 308366 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 307245 307280 307408 "COMPLPAT" 307543 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 296735 307054 307163 "COMPLEX" 307168 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 296371 296428 296535 "COMPLEX2" 296672 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 295710 295831 295991 "COMPILER" 296231 T COMPILER (NIL) -8 NIL NIL NIL) (-168 295428 295463 295561 "COMPFACT" 295669 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 277894 289132 289172 "COMPCAT" 290176 NIL COMPCAT (NIL T) -9 NIL 291524 NIL) (-166 267184 270173 273880 "COMPCAT-" 274236 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 266913 266941 267044 "COMMUPC" 267150 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 266707 266741 266800 "COMMONOP" 266874 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 266263 266458 266545 "COMM" 266640 T COMM (NIL) -8 NIL NIL NIL) (-162 265839 266067 266142 "COMMAAST" 266208 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 265088 265282 265310 "COMBOPC" 265648 T COMBOPC (NIL) -9 NIL 265823 NIL) (-160 263984 264194 264436 "COMBINAT" 264878 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 260441 261015 261642 "COMBF" 263406 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 259199 259557 259792 "COLOR" 260226 T COLOR (NIL) -8 NIL NIL NIL) (-157 258675 258920 259012 "COLONAST" 259127 T COLONAST (NIL) -8 NIL NIL NIL) (-156 258315 258362 258487 "CMPLXRT" 258622 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 257763 258015 258114 "CLLCTAST" 258236 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 253265 254293 255373 "CLIP" 256703 T CLIP (NIL) -7 NIL NIL NIL) (-153 251606 252366 252606 "CLIF" 253092 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 247781 249752 249793 "CLAGG" 250722 NIL CLAGG (NIL T) -9 NIL 251258 NIL) (-151 246203 246660 247243 "CLAGG-" 247248 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 245747 245832 245972 "CINTSLPE" 246112 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 243248 243719 244267 "CHVAR" 245275 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 242422 242976 243004 "CHARZ" 243009 T CHARZ (NIL) -9 NIL 243024 NIL) (-147 242176 242216 242294 "CHARPOL" 242376 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 241234 241821 241849 "CHARNZ" 241896 T CHARNZ (NIL) -9 NIL 241952 NIL) (-145 239140 239888 240241 "CHAR" 240901 T CHAR (NIL) -8 NIL NIL NIL) (-144 238866 238927 238955 "CFCAT" 239066 T CFCAT (NIL) -9 NIL NIL NIL) (-143 238107 238218 238401 "CDEN" 238750 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 234072 237260 237540 "CCLASS" 237847 T CCLASS (NIL) -8 NIL NIL NIL) (-141 233323 233480 233657 "CATEGORY" 233915 T -10 (NIL) -8 NIL NIL NIL) (-140 232896 233242 233290 "CATCTOR" 233295 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 232347 232599 232697 "CATAST" 232818 T CATAST (NIL) -8 NIL NIL NIL) (-138 231823 232068 232160 "CASEAST" 232275 T CASEAST (NIL) -8 NIL NIL NIL) (-137 226961 227980 228724 "CARTEN" 231135 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 226069 226217 226438 "CARTEN2" 226808 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 224385 225219 225476 "CARD" 225832 T CARD (NIL) -8 NIL NIL NIL) (-134 223961 224189 224264 "CAPSLAST" 224330 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 223465 223673 223701 "CACHSET" 223833 T CACHSET (NIL) -9 NIL 223911 NIL) (-132 222935 223257 223285 "CABMON" 223335 T CABMON (NIL) -9 NIL 223391 NIL) (-131 222408 222639 222749 "BYTEORD" 222845 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 221385 221937 222079 "BYTE" 222242 T BYTE (NIL) -8 NIL NIL 222364) (-129 216735 220890 221062 "BYTEBUF" 221233 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 214244 216427 216534 "BTREE" 216661 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 211693 213892 214014 "BTOURN" 214154 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 209063 211163 211204 "BTCAT" 211272 NIL BTCAT (NIL T) -9 NIL 211349 NIL) (-125 208730 208810 208959 "BTCAT-" 208964 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 204109 207989 208017 "BTAGG" 208131 T BTAGG (NIL) -9 NIL 208241 NIL) (-123 203599 203724 203930 "BTAGG-" 203935 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 200594 202877 203092 "BSTREE" 203416 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 199732 199858 200042 "BRILL" 200450 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 196384 198458 198499 "BRAGG" 199148 NIL BRAGG (NIL T) -9 NIL 199406 NIL) (-119 194913 195319 195874 "BRAGG-" 195879 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 188037 194257 194442 "BPADICRT" 194760 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 186352 187974 188019 "BPADIC" 188024 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 186050 186080 186194 "BOUNDZRO" 186316 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 181278 182476 183388 "BOP" 185158 T BOP (NIL) -8 NIL NIL NIL) (-114 179059 179463 179938 "BOP1" 180836 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 178760 178821 178849 "BOOLE" 178960 T BOOLE (NIL) -9 NIL 179042 NIL) (-112 177585 178334 178483 "BOOLEAN" 178631 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 176864 177268 177322 "BMODULE" 177327 NIL BMODULE (NIL T T) -9 NIL 177392 NIL) (-110 172665 176662 176735 "BITS" 176811 T BITS (NIL) -8 NIL NIL NIL) (-109 172086 172205 172345 "BINDING" 172545 T BINDING (NIL) -8 NIL NIL NIL) (-108 165998 171681 171830 "BINARY" 171957 T BINARY (NIL) -8 NIL NIL NIL) (-107 163778 165253 165294 "BGAGG" 165554 NIL BGAGG (NIL T) -9 NIL 165691 NIL) (-106 163609 163641 163732 "BGAGG-" 163737 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 162680 162993 163198 "BFUNCT" 163424 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 161370 161548 161836 "BEZOUT" 162504 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 157839 160222 160552 "BBTREE" 161073 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 157573 157626 157654 "BASTYPE" 157773 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 157425 157454 157527 "BASTYPE-" 157532 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 156859 156935 157087 "BALFACT" 157336 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 155715 156274 156460 "AUTOMOR" 156704 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 155441 155446 155472 "ATTREG" 155477 T ATTREG (NIL) -9 NIL NIL NIL) (-97 153693 154138 154490 "ATTRBUT" 155107 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 153301 153521 153587 "ATTRAST" 153645 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 152837 152950 152976 "ATRIG" 153177 T ATRIG (NIL) -9 NIL NIL NIL) (-94 152646 152687 152774 "ATRIG-" 152779 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 152291 152477 152503 "ASTCAT" 152508 T ASTCAT (NIL) -9 NIL 152538 NIL) (-92 152018 152077 152196 "ASTCAT-" 152201 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 150167 151794 151882 "ASTACK" 151961 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 148672 148969 149334 "ASSOCEQ" 149849 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 147704 148331 148455 "ASP9" 148579 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 147467 147652 147691 "ASP8" 147696 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 146335 147072 147214 "ASP80" 147356 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 145233 145970 146102 "ASP7" 146234 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 144187 144910 145028 "ASP78" 145146 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 143156 143867 143984 "ASP77" 144101 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 142068 142794 142925 "ASP74" 143056 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 140968 141703 141835 "ASP73" 141967 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 140072 140794 140894 "ASP6" 140899 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139019 139749 139867 "ASP55" 139985 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 137968 138693 138812 "ASP50" 138931 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 137056 137669 137779 "ASP4" 137889 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 136144 136757 136867 "ASP49" 136977 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 134928 135683 135851 "ASP42" 136033 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 133705 134461 134631 "ASP41" 134815 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 132655 133382 133500 "ASP35" 133618 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 132420 132603 132642 "ASP34" 132647 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 132157 132224 132300 "ASP33" 132375 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 131051 131792 131924 "ASP31" 132056 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 130816 130999 131038 "ASP30" 131043 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 130551 130620 130696 "ASP29" 130771 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 130316 130499 130538 "ASP28" 130543 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 130081 130264 130303 "ASP27" 130308 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 129165 129779 129890 "ASP24" 130001 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 128242 128967 129079 "ASP20" 129084 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 127330 127943 128053 "ASP1" 128163 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 126273 127004 127123 "ASP19" 127242 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126010 126077 126153 "ASP12" 126228 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 124862 125609 125753 "ASP10" 125897 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 122713 124706 124797 "ARRAY2" 124802 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 118478 122361 122475 "ARRAY1" 122630 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 117510 117683 117904 "ARRAY12" 118301 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 111822 113740 113815 "ARR2CAT" 116445 NIL ARR2CAT (NIL T T T) -9 NIL 117203 NIL) (-56 109256 110000 110954 "ARR2CAT-" 110959 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 108573 108883 109008 "ARITY" 109149 T ARITY (NIL) -8 NIL NIL NIL) (-54 107349 107501 107800 "APPRULE" 108409 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107000 107048 107167 "APPLYORE" 107295 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 106354 106593 106713 "ANY" 106898 T ANY (NIL) -8 NIL NIL NIL) (-51 105632 105755 105912 "ANY1" 106228 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 103162 104069 104396 "ANTISYM" 105356 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 102654 102869 102965 "ANON" 103084 T ANON (NIL) -8 NIL NIL NIL) (-48 96832 101193 101647 "AN" 102218 T AN (NIL) -8 NIL NIL NIL) (-47 92730 94118 94169 "AMR" 94917 NIL AMR (NIL T T) -9 NIL 95517 NIL) (-46 91842 92063 92426 "AMR-" 92431 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 76281 91759 91820 "ALIST" 91825 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73086 75875 76044 "ALGSC" 76199 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 69642 70196 70803 "ALGPKG" 72526 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 68919 69020 69204 "ALGMFACT" 69528 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 64954 65533 66127 "ALGMANIP" 68503 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55373 64580 64730 "ALGFF" 64887 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54569 54700 54879 "ALGFACT" 55231 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53510 54110 54148 "ALGEBRA" 54153 NIL ALGEBRA (NIL T) -9 NIL 54194 NIL) (-37 53228 53287 53419 "ALGEBRA-" 53424 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35291 51200 51252 "ALAGG" 51388 NIL ALAGG (NIL T T) -9 NIL 51549 NIL) (-35 34827 34940 34966 "AHYP" 35167 T AHYP (NIL) -9 NIL NIL NIL) (-34 33758 34006 34032 "AGG" 34531 T AGG (NIL) -9 NIL 34810 NIL) (-33 33192 33354 33568 "AGG-" 33573 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30998 31421 31826 "AF" 32834 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30478 30723 30813 "ADDAST" 30926 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29746 30005 30161 "ACPLOT" 30340 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18670 26678 26716 "ACFS" 27323 NIL ACFS (NIL T) -9 NIL 27562 NIL) (-28 16697 17187 17949 "ACFS-" 17954 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12815 14744 14770 "ACF" 15649 T ACF (NIL) -9 NIL 16062 NIL) (-26 11519 11853 12346 "ACF-" 12351 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11091 11286 11312 "ABELSG" 11404 T ABELSG (NIL) -9 NIL 11469 NIL) (-24 10958 10983 11049 "ABELSG-" 11054 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10301 10588 10614 "ABELMON" 10784 T ABELMON (NIL) -9 NIL 10896 NIL) (-22 9965 10049 10187 "ABELMON-" 10192 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9313 9685 9711 "ABELGRP" 9783 T ABELGRP (NIL) -9 NIL 9858 NIL) (-20 8776 8905 9121 "ABELGRP-" 9126 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8085 8124 "A1AGG" 8129 NIL A1AGG (NIL T) -9 NIL 8169 NIL) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3251015 3251020 3251025 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3251000 3251005 3251010 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3250985 3250990 3250995 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3250970 3250975 3250980 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1316 3250113 3250845 3250922 "ZMOD" 3250927 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1315 3249167 3249331 3249554 "ZLINDEP" 3249945 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1314 3238467 3240235 3242207 "ZDSOLVE" 3247297 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1313 3237713 3237854 3238043 "YSTREAM" 3238313 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1312 3237141 3237387 3237500 "YDIAGRAM" 3237622 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1311 3234915 3236442 3236646 "XRPOLY" 3236984 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1310 3231468 3232786 3233361 "XPR" 3234387 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1309 3229189 3230799 3231003 "XPOLY" 3231299 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1308 3226842 3228210 3228265 "XPOLYC" 3228553 NIL XPOLYC (NIL T T) -9 NIL 3228666 NIL) (-1307 3223218 3225359 3225747 "XPBWPOLY" 3226500 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1306 3218913 3221208 3221250 "XF" 3221871 NIL XF (NIL T) -9 NIL 3222271 NIL) (-1305 3218534 3218622 3218791 "XF-" 3218796 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1304 3213730 3215019 3215074 "XFALG" 3217246 NIL XFALG (NIL T T) -9 NIL 3218035 NIL) (-1303 3212863 3212967 3213172 "XEXPPKG" 3213622 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1302 3210972 3212713 3212809 "XDPOLY" 3212814 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1301 3209779 3210379 3210422 "XALG" 3210427 NIL XALG (NIL T) -9 NIL 3210538 NIL) (-1300 3203221 3207756 3208250 "WUTSET" 3209371 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1299 3201477 3202273 3202596 "WP" 3203032 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1298 3201079 3201299 3201369 "WHILEAST" 3201429 T WHILEAST (NIL) -8 NIL NIL NIL) (-1297 3200551 3200796 3200890 "WHEREAST" 3201007 T WHEREAST (NIL) -8 NIL NIL NIL) (-1296 3199437 3199635 3199930 "WFFINTBS" 3200348 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1295 3197341 3197768 3198230 "WEIER" 3199009 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1294 3196387 3196837 3196879 "VSPACE" 3197015 NIL VSPACE (NIL T) -9 NIL 3197089 NIL) (-1293 3196225 3196252 3196343 "VSPACE-" 3196348 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1292 3196034 3196076 3196144 "VOID" 3196179 T VOID (NIL) -8 NIL NIL NIL) (-1291 3194170 3194529 3194935 "VIEW" 3195650 T VIEW (NIL) -7 NIL NIL NIL) (-1290 3190594 3191233 3191970 "VIEWDEF" 3193455 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1289 3179898 3182142 3184315 "VIEW3D" 3188443 T VIEW3D (NIL) -8 NIL NIL NIL) (-1288 3172149 3173809 3175388 "VIEW2D" 3178341 T VIEW2D (NIL) -8 NIL NIL NIL) (-1287 3167502 3171919 3172011 "VECTOR" 3172092 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1286 3166079 3166338 3166656 "VECTOR2" 3167232 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1285 3159521 3163830 3163873 "VECTCAT" 3164868 NIL VECTCAT (NIL T) -9 NIL 3165455 NIL) (-1284 3158535 3158789 3159179 "VECTCAT-" 3159184 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1283 3157989 3158186 3158306 "VARIABLE" 3158450 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1282 3157922 3157927 3157957 "UTYPE" 3157962 T UTYPE (NIL) -9 NIL NIL NIL) (-1281 3156752 3156906 3157168 "UTSODETL" 3157748 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1280 3154192 3154652 3155176 "UTSODE" 3156293 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1279 3146140 3151953 3152433 "UTS" 3153770 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1278 3136704 3142074 3142117 "UTSCAT" 3143229 NIL UTSCAT (NIL T) -9 NIL 3143987 NIL) (-1277 3134052 3134774 3135763 "UTSCAT-" 3135768 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1276 3133679 3133722 3133855 "UTS2" 3134003 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1275 3127905 3130517 3130560 "URAGG" 3132630 NIL URAGG (NIL T) -9 NIL 3133353 NIL) (-1274 3124844 3125707 3126830 "URAGG-" 3126835 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1273 3120553 3123479 3123944 "UPXSSING" 3124508 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1272 3112729 3119935 3120199 "UPXS" 3120347 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1271 3105802 3112633 3112705 "UPXSCONS" 3112710 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1270 3095209 3102005 3102067 "UPXSCCA" 3102641 NIL UPXSCCA (NIL T T) -9 NIL 3102874 NIL) (-1269 3094847 3094932 3095106 "UPXSCCA-" 3095111 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1268 3084106 3090675 3090718 "UPXSCAT" 3091366 NIL UPXSCAT (NIL T) -9 NIL 3091975 NIL) (-1267 3083536 3083615 3083794 "UPXS2" 3084021 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1266 3082190 3082443 3082794 "UPSQFREE" 3083279 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1265 3075398 3078458 3078513 "UPSCAT" 3079593 NIL UPSCAT (NIL T T) -9 NIL 3080358 NIL) (-1264 3074602 3074809 3075136 "UPSCAT-" 3075141 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1263 3059871 3067729 3067772 "UPOLYC" 3069873 NIL UPOLYC (NIL T) -9 NIL 3071094 NIL) (-1262 3051199 3053625 3056772 "UPOLYC-" 3056777 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1261 3050826 3050869 3051002 "UPOLYC2" 3051150 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1260 3042548 3050509 3050638 "UP" 3050745 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1259 3041887 3041994 3042158 "UPMP" 3042437 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1258 3041440 3041521 3041660 "UPDIVP" 3041800 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1257 3040008 3040257 3040573 "UPDECOMP" 3041189 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1256 3039239 3039351 3039537 "UPCDEN" 3039892 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1255 3038758 3038827 3038976 "UP2" 3039164 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1254 3037225 3037962 3038239 "UNISEG" 3038516 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1253 3036440 3036567 3036772 "UNISEG2" 3037068 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1252 3035500 3035680 3035906 "UNIFACT" 3036256 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1251 3018539 3034812 3035054 "ULS" 3035316 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1250 3006402 3018443 3018515 "ULSCONS" 3018520 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1249 2987465 2999590 2999652 "ULSCCAT" 3000290 NIL ULSCCAT (NIL T T) -9 NIL 3000579 NIL) (-1248 2986515 2986760 2987148 "ULSCCAT-" 2987153 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1247 2975579 2982062 2982105 "ULSCAT" 2982968 NIL ULSCAT (NIL T) -9 NIL 2983699 NIL) (-1246 2975009 2975088 2975267 "ULS2" 2975494 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1245 2974128 2974638 2974745 "UINT8" 2974856 T UINT8 (NIL) -8 NIL NIL 2974941) (-1244 2973246 2973756 2973863 "UINT64" 2973974 T UINT64 (NIL) -8 NIL NIL 2974059) (-1243 2972364 2972874 2972981 "UINT32" 2973092 T UINT32 (NIL) -8 NIL NIL 2973177) (-1242 2971482 2971992 2972099 "UINT16" 2972210 T UINT16 (NIL) -8 NIL NIL 2972295) (-1241 2969785 2970742 2970772 "UFD" 2970984 T UFD (NIL) -9 NIL 2971098 NIL) (-1240 2969579 2969625 2969720 "UFD-" 2969725 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1239 2968661 2968844 2969060 "UDVO" 2969385 T UDVO (NIL) -7 NIL NIL NIL) (-1238 2966477 2966886 2967357 "UDPO" 2968225 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1237 2966410 2966415 2966445 "TYPE" 2966450 T TYPE (NIL) -9 NIL NIL NIL) (-1236 2966170 2966365 2966396 "TYPEAST" 2966401 T TYPEAST (NIL) -8 NIL NIL NIL) (-1235 2965141 2965343 2965583 "TWOFACT" 2965964 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1234 2964164 2964550 2964785 "TUPLE" 2964941 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1233 2961855 2962374 2962913 "TUBETOOL" 2963647 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1232 2960704 2960909 2961150 "TUBE" 2961648 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1231 2955433 2959676 2959959 "TS" 2960456 NIL TS (NIL T) -8 NIL NIL NIL) (-1230 2944073 2948192 2948289 "TSETCAT" 2953558 NIL TSETCAT (NIL T T T T) -9 NIL 2955089 NIL) (-1229 2938805 2940405 2942296 "TSETCAT-" 2942301 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1228 2933444 2934291 2935220 "TRMANIP" 2937941 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1227 2932885 2932948 2933111 "TRIMAT" 2933376 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1226 2930751 2930988 2931345 "TRIGMNIP" 2932634 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1225 2930271 2930384 2930414 "TRIGCAT" 2930627 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1224 2929940 2930019 2930160 "TRIGCAT-" 2930165 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1223 2926785 2928798 2929079 "TREE" 2929694 NIL TREE (NIL T) -8 NIL NIL NIL) (-1222 2926059 2926587 2926617 "TRANFUN" 2926652 T TRANFUN (NIL) -9 NIL 2926718 NIL) (-1221 2925338 2925529 2925809 "TRANFUN-" 2925814 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1220 2925142 2925174 2925235 "TOPSP" 2925299 T TOPSP (NIL) -7 NIL NIL NIL) (-1219 2924490 2924605 2924759 "TOOLSIGN" 2925023 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1218 2923124 2923667 2923906 "TEXTFILE" 2924273 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1217 2921036 2921577 2922006 "TEX" 2922717 T TEX (NIL) -8 NIL NIL NIL) (-1216 2920817 2920848 2920920 "TEX1" 2920999 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1215 2920465 2920528 2920618 "TEMUTL" 2920749 T TEMUTL (NIL) -7 NIL NIL NIL) (-1214 2918619 2918899 2919224 "TBCMPPK" 2920188 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1213 2910396 2916779 2916835 "TBAGG" 2917235 NIL TBAGG (NIL T T) -9 NIL 2917446 NIL) (-1212 2905466 2906954 2908708 "TBAGG-" 2908713 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1211 2904850 2904957 2905102 "TANEXP" 2905355 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1210 2904361 2904625 2904715 "TALGOP" 2904795 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1209 2897751 2904218 2904311 "TABLE" 2904316 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1208 2897163 2897262 2897400 "TABLEAU" 2897648 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1207 2891771 2892991 2894239 "TABLBUMP" 2895949 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1206 2890993 2891140 2891321 "SYSTEM" 2891612 T SYSTEM (NIL) -8 NIL NIL NIL) (-1205 2887452 2888151 2888934 "SYSSOLP" 2890244 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1204 2887250 2887407 2887438 "SYSPTR" 2887443 T SYSPTR (NIL) -8 NIL NIL NIL) (-1203 2886286 2886791 2886910 "SYSNNI" 2887096 NIL SYSNNI (NIL NIL) -8 NIL NIL 2887181) (-1202 2885585 2886044 2886123 "SYSINT" 2886183 NIL SYSINT (NIL NIL) -8 NIL NIL 2886228) (-1201 2881917 2882863 2883573 "SYNTAX" 2884897 T SYNTAX (NIL) -8 NIL NIL NIL) (-1200 2879075 2879677 2880309 "SYMTAB" 2881307 T SYMTAB (NIL) -8 NIL NIL NIL) (-1199 2874324 2875226 2876209 "SYMS" 2878114 T SYMS (NIL) -8 NIL NIL NIL) (-1198 2871559 2873782 2874012 "SYMPOLY" 2874129 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1197 2871076 2871151 2871274 "SYMFUNC" 2871471 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1196 2867096 2868388 2869201 "SYMBOL" 2870285 T SYMBOL (NIL) -8 NIL NIL NIL) (-1195 2860635 2862324 2864044 "SWITCH" 2865398 T SWITCH (NIL) -8 NIL NIL NIL) (-1194 2853979 2859591 2859885 "SUTS" 2860399 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1193 2846155 2853361 2853625 "SUPXS" 2853773 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1192 2837825 2845773 2845899 "SUP" 2846064 NIL SUP (NIL T) -8 NIL NIL NIL) (-1191 2836984 2837111 2837328 "SUPFRACF" 2837693 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1190 2836605 2836664 2836777 "SUP2" 2836919 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1189 2835053 2835327 2835683 "SUMRF" 2836304 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1188 2834388 2834454 2834646 "SUMFS" 2834974 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1187 2817462 2833700 2833942 "SULS" 2834204 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1186 2817064 2817284 2817354 "SUCHTAST" 2817414 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1185 2816359 2816589 2816729 "SUCH" 2816972 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1184 2810226 2811265 2812224 "SUBSPACE" 2815447 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1183 2809656 2809746 2809910 "SUBRESP" 2810114 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1182 2803024 2804321 2805632 "STTF" 2808392 NIL STTF (NIL T) -7 NIL NIL NIL) (-1181 2797197 2798317 2799464 "STTFNC" 2801924 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1180 2788510 2790379 2792173 "STTAYLOR" 2795438 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1179 2781640 2788374 2788457 "STRTBL" 2788462 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1178 2777004 2781595 2781626 "STRING" 2781631 T STRING (NIL) -8 NIL NIL NIL) (-1177 2771833 2776347 2776377 "STRICAT" 2776436 T STRICAT (NIL) -9 NIL 2776498 NIL) (-1176 2764586 2769452 2770063 "STREAM" 2771257 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1175 2764096 2764173 2764317 "STREAM3" 2764503 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1174 2763078 2763261 2763496 "STREAM2" 2763909 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1173 2762766 2762818 2762911 "STREAM1" 2763020 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1172 2761782 2761963 2762194 "STINPROD" 2762582 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1171 2761334 2761544 2761574 "STEP" 2761654 T STEP (NIL) -9 NIL 2761732 NIL) (-1170 2760521 2760823 2760971 "STEPAST" 2761208 T STEPAST (NIL) -8 NIL NIL NIL) (-1169 2753953 2760420 2760497 "STBL" 2760502 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1168 2749048 2753144 2753187 "STAGG" 2753340 NIL STAGG (NIL T) -9 NIL 2753429 NIL) (-1167 2746750 2747352 2748224 "STAGG-" 2748229 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1166 2744897 2746520 2746612 "STACK" 2746693 NIL STACK (NIL T) -8 NIL NIL NIL) (-1165 2737592 2743038 2743494 "SREGSET" 2744527 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1164 2730017 2731386 2732899 "SRDCMPK" 2736198 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1163 2722902 2727427 2727457 "SRAGG" 2728760 T SRAGG (NIL) -9 NIL 2729368 NIL) (-1162 2721919 2722174 2722553 "SRAGG-" 2722558 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1161 2716290 2720866 2721287 "SQMATRIX" 2721545 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1160 2709975 2713008 2713735 "SPLTREE" 2715635 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1159 2705938 2706631 2707277 "SPLNODE" 2709401 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1158 2704985 2705218 2705248 "SPFCAT" 2705692 T SPFCAT (NIL) -9 NIL NIL NIL) (-1157 2703722 2703932 2704196 "SPECOUT" 2704743 T SPECOUT (NIL) -7 NIL NIL NIL) (-1156 2694832 2696704 2696734 "SPADXPT" 2701410 T SPADXPT (NIL) -9 NIL 2703574 NIL) (-1155 2694593 2694633 2694702 "SPADPRSR" 2694785 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1154 2692642 2694548 2694579 "SPADAST" 2694584 T SPADAST (NIL) -8 NIL NIL NIL) (-1153 2684587 2686360 2686403 "SPACEC" 2690776 NIL SPACEC (NIL T) -9 NIL 2692592 NIL) (-1152 2682717 2684519 2684568 "SPACE3" 2684573 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1151 2681469 2681640 2681931 "SORTPAK" 2682522 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1150 2679561 2679864 2680276 "SOLVETRA" 2681133 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1149 2678611 2678833 2679094 "SOLVESER" 2679334 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1148 2673915 2674803 2675798 "SOLVERAD" 2677663 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1147 2669730 2670339 2671068 "SOLVEFOR" 2673282 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1146 2664000 2669079 2669176 "SNTSCAT" 2669181 NIL SNTSCAT (NIL T T T T) -9 NIL 2669251 NIL) (-1145 2658106 2662323 2662714 "SMTS" 2663690 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1144 2652702 2657994 2658071 "SMP" 2658076 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1143 2650861 2651162 2651560 "SMITH" 2652399 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1142 2643152 2647440 2647543 "SMATCAT" 2648894 NIL SMATCAT (NIL NIL T T T) -9 NIL 2649444 NIL) (-1141 2639870 2640755 2642013 "SMATCAT-" 2642018 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1140 2637536 2639106 2639149 "SKAGG" 2639410 NIL SKAGG (NIL T) -9 NIL 2639545 NIL) (-1139 2633812 2637009 2637193 "SINT" 2637345 T SINT (NIL) -8 NIL NIL 2637507) (-1138 2633584 2633622 2633688 "SIMPAN" 2633768 T SIMPAN (NIL) -7 NIL NIL NIL) (-1137 2632863 2633119 2633259 "SIG" 2633466 T SIG (NIL) -8 NIL NIL NIL) (-1136 2631701 2631922 2632197 "SIGNRF" 2632622 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1135 2630534 2630685 2630969 "SIGNEF" 2631530 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1134 2629840 2630117 2630241 "SIGAST" 2630432 T SIGAST (NIL) -8 NIL NIL NIL) (-1133 2627530 2627984 2628490 "SHP" 2629381 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1132 2621591 2627431 2627507 "SHDP" 2627512 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1131 2621164 2621356 2621386 "SGROUP" 2621479 T SGROUP (NIL) -9 NIL 2621541 NIL) (-1130 2621022 2621048 2621121 "SGROUP-" 2621126 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1129 2617813 2618511 2619234 "SGCF" 2620321 T SGCF (NIL) -7 NIL NIL NIL) (-1128 2612181 2617260 2617357 "SFRTCAT" 2617362 NIL SFRTCAT (NIL T T T T) -9 NIL 2617401 NIL) (-1127 2605602 2606620 2607756 "SFRGCD" 2611164 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1126 2598728 2599801 2600987 "SFQCMPK" 2604535 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1125 2598348 2598437 2598548 "SFORT" 2598669 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1124 2597466 2598188 2598309 "SEXOF" 2598314 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1123 2596573 2597347 2597415 "SEX" 2597420 T SEX (NIL) -8 NIL NIL NIL) (-1122 2592354 2593069 2593164 "SEXCAT" 2595786 NIL SEXCAT (NIL T T T T T) -9 NIL 2596346 NIL) (-1121 2589507 2592288 2592336 "SET" 2592341 NIL SET (NIL T) -8 NIL NIL NIL) (-1120 2587731 2588220 2588525 "SETMN" 2589248 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1119 2587227 2587379 2587409 "SETCAT" 2587585 T SETCAT (NIL) -9 NIL 2587695 NIL) (-1118 2586919 2586997 2587127 "SETCAT-" 2587132 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1117 2583280 2585380 2585423 "SETAGG" 2586293 NIL SETAGG (NIL T) -9 NIL 2586633 NIL) (-1116 2582738 2582854 2583091 "SETAGG-" 2583096 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1115 2582181 2582434 2582535 "SEQAST" 2582659 T SEQAST (NIL) -8 NIL NIL NIL) (-1114 2581380 2581674 2581735 "SEGXCAT" 2582021 NIL SEGXCAT (NIL T T) -9 NIL 2582141 NIL) (-1113 2580386 2581046 2581228 "SEG" 2581233 NIL SEG (NIL T) -8 NIL NIL NIL) (-1112 2579365 2579579 2579622 "SEGCAT" 2580144 NIL SEGCAT (NIL T) -9 NIL 2580365 NIL) (-1111 2578297 2578728 2578936 "SEGBIND" 2579192 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1110 2577918 2577977 2578090 "SEGBIND2" 2578232 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1109 2577491 2577719 2577796 "SEGAST" 2577863 T SEGAST (NIL) -8 NIL NIL NIL) (-1108 2576710 2576836 2577040 "SEG2" 2577335 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1107 2576081 2576645 2576692 "SDVAR" 2576697 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1106 2568519 2575851 2575981 "SDPOL" 2575986 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1105 2567112 2567378 2567697 "SCPKG" 2568234 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1104 2566276 2566448 2566640 "SCOPE" 2566942 T SCOPE (NIL) -8 NIL NIL NIL) (-1103 2565496 2565630 2565809 "SCACHE" 2566131 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1102 2565142 2565328 2565358 "SASTCAT" 2565363 T SASTCAT (NIL) -9 NIL 2565376 NIL) (-1101 2564629 2564977 2565053 "SAOS" 2565088 T SAOS (NIL) -8 NIL NIL NIL) (-1100 2564194 2564229 2564402 "SAERFFC" 2564588 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1099 2558044 2564091 2564171 "SAE" 2564176 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1098 2557637 2557672 2557831 "SAEFACT" 2558003 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1097 2555958 2556272 2556673 "RURPK" 2557303 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1096 2554595 2554901 2555206 "RULESET" 2555792 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1095 2551818 2552348 2552806 "RULE" 2554276 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1094 2551430 2551612 2551695 "RULECOLD" 2551770 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1093 2551220 2551248 2551319 "RTVALUE" 2551381 T RTVALUE (NIL) -8 NIL NIL NIL) (-1092 2550691 2550937 2551031 "RSTRCAST" 2551148 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1091 2545539 2546334 2547254 "RSETGCD" 2549890 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1090 2534769 2539848 2539945 "RSETCAT" 2544064 NIL RSETCAT (NIL T T T T) -9 NIL 2545161 NIL) (-1089 2532696 2533235 2534059 "RSETCAT-" 2534064 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1088 2525082 2526458 2527978 "RSDCMPK" 2531295 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1087 2523061 2523528 2523602 "RRCC" 2524688 NIL RRCC (NIL T T) -9 NIL 2525032 NIL) (-1086 2522412 2522586 2522865 "RRCC-" 2522870 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1085 2521855 2522108 2522209 "RPTAST" 2522333 T RPTAST (NIL) -8 NIL NIL NIL) (-1084 2495518 2504967 2505034 "RPOLCAT" 2515700 NIL RPOLCAT (NIL T T T) -9 NIL 2518860 NIL) (-1083 2487016 2489356 2492478 "RPOLCAT-" 2492483 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1082 2477947 2485227 2485709 "ROUTINE" 2486556 T ROUTINE (NIL) -8 NIL NIL NIL) (-1081 2474694 2477573 2477713 "ROMAN" 2477829 T ROMAN (NIL) -8 NIL NIL NIL) (-1080 2472938 2473554 2473814 "ROIRC" 2474499 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1079 2469170 2471454 2471484 "RNS" 2471788 T RNS (NIL) -9 NIL 2472062 NIL) (-1078 2467679 2468062 2468596 "RNS-" 2468671 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1077 2467082 2467490 2467520 "RNG" 2467525 T RNG (NIL) -9 NIL 2467546 NIL) (-1076 2466085 2466447 2466649 "RNGBIND" 2466933 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1075 2465484 2465872 2465915 "RMODULE" 2465920 NIL RMODULE (NIL T) -9 NIL 2465947 NIL) (-1074 2464320 2464414 2464750 "RMCAT2" 2465385 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1073 2461170 2463666 2463963 "RMATRIX" 2464082 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1072 2453997 2456257 2456372 "RMATCAT" 2459731 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2460713 NIL) (-1071 2453372 2453519 2453826 "RMATCAT-" 2453831 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1070 2453001 2453173 2453216 "RLINSET" 2453278 NIL RLINSET (NIL T) -9 NIL 2453322 NIL) (-1069 2452568 2452643 2452771 "RINTERP" 2452920 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1068 2451626 2452180 2452210 "RING" 2452266 T RING (NIL) -9 NIL 2452358 NIL) (-1067 2451418 2451462 2451559 "RING-" 2451564 NIL RING- (NIL T) -8 NIL NIL NIL) (-1066 2450259 2450496 2450754 "RIDIST" 2451182 T RIDIST (NIL) -7 NIL NIL NIL) (-1065 2441548 2449727 2449933 "RGCHAIN" 2450107 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1064 2440898 2441304 2441345 "RGBCSPC" 2441403 NIL RGBCSPC (NIL T) -9 NIL 2441455 NIL) (-1063 2440056 2440437 2440478 "RGBCMDL" 2440710 NIL RGBCMDL (NIL T) -9 NIL 2440824 NIL) (-1062 2437050 2437664 2438334 "RF" 2439420 NIL RF (NIL T) -7 NIL NIL NIL) (-1061 2436696 2436759 2436862 "RFFACTOR" 2436981 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1060 2436421 2436456 2436553 "RFFACT" 2436655 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1059 2434538 2434902 2435284 "RFDIST" 2436061 T RFDIST (NIL) -7 NIL NIL NIL) (-1058 2433991 2434083 2434246 "RETSOL" 2434440 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1057 2433627 2433707 2433750 "RETRACT" 2433883 NIL RETRACT (NIL T) -9 NIL 2433970 NIL) (-1056 2433476 2433501 2433588 "RETRACT-" 2433593 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1055 2433078 2433298 2433368 "RETAST" 2433428 T RETAST (NIL) -8 NIL NIL NIL) (-1054 2425816 2432731 2432858 "RESULT" 2432973 T RESULT (NIL) -8 NIL NIL NIL) (-1053 2424407 2425085 2425284 "RESRING" 2425719 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1052 2424043 2424092 2424190 "RESLATC" 2424344 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1051 2423748 2423783 2423890 "REPSQ" 2424002 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1050 2421170 2421750 2422352 "REP" 2423168 T REP (NIL) -7 NIL NIL NIL) (-1049 2420867 2420902 2421013 "REPDB" 2421129 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1048 2414767 2416156 2417379 "REP2" 2419679 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1047 2411144 2411825 2412633 "REP1" 2413994 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1046 2403840 2409285 2409741 "REGSET" 2410774 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1045 2402605 2402988 2403238 "REF" 2403625 NIL REF (NIL T) -8 NIL NIL NIL) (-1044 2401982 2402085 2402252 "REDORDER" 2402489 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1043 2397950 2401195 2401422 "RECLOS" 2401810 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1042 2397002 2397183 2397398 "REALSOLV" 2397757 T REALSOLV (NIL) -7 NIL NIL NIL) (-1041 2396848 2396889 2396919 "REAL" 2396924 T REAL (NIL) -9 NIL 2396959 NIL) (-1040 2393331 2394133 2395017 "REAL0Q" 2396013 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1039 2388932 2389920 2390981 "REAL0" 2392312 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1038 2388403 2388649 2388743 "RDUCEAST" 2388860 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1037 2387808 2387880 2388087 "RDIV" 2388325 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1036 2386876 2387050 2387263 "RDIST" 2387630 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1035 2385473 2385760 2386132 "RDETRS" 2386584 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1034 2383285 2383739 2384277 "RDETR" 2385015 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1033 2381910 2382188 2382585 "RDEEFS" 2383001 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1032 2380419 2380725 2381150 "RDEEF" 2381598 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1031 2374480 2377400 2377430 "RCFIELD" 2378725 T RCFIELD (NIL) -9 NIL 2379456 NIL) (-1030 2372544 2373048 2373744 "RCFIELD-" 2373819 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1029 2368813 2370645 2370688 "RCAGG" 2371772 NIL RCAGG (NIL T) -9 NIL 2372237 NIL) (-1028 2368441 2368535 2368698 "RCAGG-" 2368703 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1027 2367776 2367888 2368053 "RATRET" 2368325 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1026 2367329 2367396 2367517 "RATFACT" 2367704 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1025 2366637 2366757 2366909 "RANDSRC" 2367199 T RANDSRC (NIL) -7 NIL NIL NIL) (-1024 2366371 2366415 2366488 "RADUTIL" 2366586 T RADUTIL (NIL) -7 NIL NIL NIL) (-1023 2359392 2365202 2365513 "RADIX" 2366094 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1022 2350060 2359234 2359364 "RADFF" 2359369 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1021 2349707 2349782 2349812 "RADCAT" 2349972 T RADCAT (NIL) -9 NIL NIL NIL) (-1020 2349489 2349537 2349637 "RADCAT-" 2349642 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1019 2347587 2349259 2349351 "QUEUE" 2349432 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1018 2344035 2347520 2347568 "QUAT" 2347573 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1017 2343666 2343709 2343840 "QUATCT2" 2343986 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1016 2336679 2340116 2340158 "QUATCAT" 2340949 NIL QUATCAT (NIL T) -9 NIL 2341715 NIL) (-1015 2332818 2333855 2335245 "QUATCAT-" 2335341 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1014 2330283 2331894 2331937 "QUAGG" 2332318 NIL QUAGG (NIL T) -9 NIL 2332493 NIL) (-1013 2329885 2330105 2330175 "QQUTAST" 2330235 T QQUTAST (NIL) -8 NIL NIL NIL) (-1012 2328898 2329398 2329563 "QFORM" 2329766 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1011 2319472 2324800 2324842 "QFCAT" 2325510 NIL QFCAT (NIL T) -9 NIL 2326511 NIL) (-1010 2314817 2316080 2317754 "QFCAT-" 2317850 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1009 2314448 2314491 2314622 "QFCAT2" 2314768 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1008 2313903 2314013 2314145 "QEQUAT" 2314338 T QEQUAT (NIL) -8 NIL NIL NIL) (-1007 2307029 2308102 2309288 "QCMPACK" 2312836 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1006 2304567 2305015 2305445 "QALGSET" 2306684 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1005 2303802 2303978 2304214 "QALGSET2" 2304385 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1004 2302487 2302711 2303030 "PWFFINTB" 2303575 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1003 2300662 2300830 2301186 "PUSHVAR" 2302301 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1002 2296551 2297605 2297648 "PTRANFN" 2299559 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1001 2294942 2295233 2295557 "PTPACK" 2296262 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1000 2294571 2294628 2294739 "PTFUNC2" 2294879 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-999 2289016 2293413 2293454 "PTCAT" 2293750 NIL PTCAT (NIL T) -9 NIL 2293903 NIL) (-998 2288674 2288709 2288833 "PSQFR" 2288975 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-997 2287269 2287567 2287901 "PSEUDLIN" 2288372 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-996 2274032 2276403 2278727 "PSETPK" 2285029 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-995 2267050 2269790 2269886 "PSETCAT" 2272907 NIL PSETCAT (NIL T T T T) -9 NIL 2273721 NIL) (-994 2264886 2265520 2266341 "PSETCAT-" 2266346 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-993 2264235 2264400 2264428 "PSCURVE" 2264696 T PSCURVE (NIL) -9 NIL 2264863 NIL) (-992 2260233 2261749 2261814 "PSCAT" 2262658 NIL PSCAT (NIL T T T) -9 NIL 2262898 NIL) (-991 2259296 2259512 2259912 "PSCAT-" 2259917 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-990 2257655 2258365 2258628 "PRTITION" 2259053 T PRTITION (NIL) -8 NIL NIL NIL) (-989 2257130 2257376 2257468 "PRTDAST" 2257583 T PRTDAST (NIL) -8 NIL NIL NIL) (-988 2246220 2248434 2250622 "PRS" 2254992 NIL PRS (NIL T T) -7 NIL NIL NIL) (-987 2244031 2245570 2245610 "PRQAGG" 2245793 NIL PRQAGG (NIL T) -9 NIL 2245895 NIL) (-986 2243367 2243672 2243700 "PROPLOG" 2243839 T PROPLOG (NIL) -9 NIL 2243954 NIL) (-985 2242971 2243028 2243151 "PROPFUN2" 2243290 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-984 2242286 2242407 2242579 "PROPFUN1" 2242832 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-983 2240467 2241033 2241330 "PROPFRML" 2242022 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-982 2239936 2240043 2240171 "PROPERTY" 2240359 T PROPERTY (NIL) -8 NIL NIL NIL) (-981 2233994 2238102 2238922 "PRODUCT" 2239162 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-980 2231272 2233452 2233686 "PR" 2233805 NIL PR (NIL T T) -8 NIL NIL NIL) (-979 2231068 2231100 2231159 "PRINT" 2231233 T PRINT (NIL) -7 NIL NIL NIL) (-978 2230408 2230525 2230677 "PRIMES" 2230948 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-977 2228473 2228874 2229340 "PRIMELT" 2229987 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-976 2228202 2228251 2228279 "PRIMCAT" 2228403 T PRIMCAT (NIL) -9 NIL NIL NIL) (-975 2224317 2228140 2228185 "PRIMARR" 2228190 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-974 2223324 2223502 2223730 "PRIMARR2" 2224135 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-973 2222967 2223023 2223134 "PREASSOC" 2223262 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-972 2222442 2222575 2222603 "PPCURVE" 2222808 T PPCURVE (NIL) -9 NIL 2222944 NIL) (-971 2222037 2222237 2222320 "PORTNUM" 2222379 T PORTNUM (NIL) -8 NIL NIL NIL) (-970 2219396 2219795 2220387 "POLYROOT" 2221618 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-969 2213489 2219000 2219160 "POLY" 2219269 NIL POLY (NIL T) -8 NIL NIL NIL) (-968 2212872 2212930 2213164 "POLYLIFT" 2213425 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-967 2209147 2209596 2210225 "POLYCATQ" 2212417 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-966 2195676 2200894 2200959 "POLYCAT" 2204473 NIL POLYCAT (NIL T T T) -9 NIL 2206351 NIL) (-965 2188903 2190827 2193291 "POLYCAT-" 2193296 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-964 2188490 2188558 2188678 "POLY2UP" 2188829 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-963 2188122 2188179 2188288 "POLY2" 2188427 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-962 2186807 2187046 2187322 "POLUTIL" 2187896 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-961 2185162 2185439 2185770 "POLTOPOL" 2186529 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-960 2180627 2185098 2185144 "POINT" 2185149 NIL POINT (NIL T) -8 NIL NIL NIL) (-959 2178814 2179171 2179546 "PNTHEORY" 2180272 T PNTHEORY (NIL) -7 NIL NIL NIL) (-958 2177272 2177569 2177968 "PMTOOLS" 2178512 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-957 2176865 2176943 2177060 "PMSYM" 2177188 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-956 2176373 2176442 2176617 "PMQFCAT" 2176790 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-955 2175728 2175838 2175994 "PMPRED" 2176250 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-954 2175121 2175207 2175369 "PMPREDFS" 2175629 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-953 2173785 2173993 2174371 "PMPLCAT" 2174883 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-952 2173317 2173396 2173548 "PMLSAGG" 2173700 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-951 2172790 2172866 2173048 "PMKERNEL" 2173235 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-950 2172407 2172482 2172595 "PMINS" 2172709 NIL PMINS (NIL T) -7 NIL NIL NIL) (-949 2171849 2171918 2172127 "PMFS" 2172332 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-948 2171077 2171195 2171400 "PMDOWN" 2171726 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-947 2170244 2170402 2170583 "PMASS" 2170916 T PMASS (NIL) -7 NIL NIL NIL) (-946 2169517 2169627 2169790 "PMASSFS" 2170131 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-945 2169172 2169240 2169334 "PLOTTOOL" 2169443 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-944 2163779 2164983 2166131 "PLOT" 2168044 T PLOT 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(-931 2119169 2121077 2121430 "PFR" 2122208 NIL PFR (NIL T) -8 NIL NIL NIL) (-930 2117558 2117802 2118127 "PFOTOOLS" 2118916 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-929 2116091 2116330 2116681 "PFOQ" 2117315 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-928 2114592 2114804 2115160 "PFO" 2115875 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-927 2111145 2114481 2114550 "PF" 2114555 NIL PF (NIL NIL) -8 NIL NIL NIL) (-926 2108479 2109750 2109778 "PFECAT" 2110363 T PFECAT (NIL) -9 NIL 2110747 NIL) (-925 2107924 2108078 2108292 "PFECAT-" 2108297 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-924 2106527 2106779 2107080 "PFBRU" 2107673 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-923 2104393 2104745 2105177 "PFBR" 2106178 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-922 2100439 2101905 2102552 "PERM" 2103779 NIL PERM (NIL T) -8 NIL NIL NIL) (-921 2095673 2096646 2097516 "PERMGRP" 2099602 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-920 2093792 2094752 2094793 "PERMCAT" 2095193 NIL PERMCAT (NIL T) -9 NIL 2095491 NIL) (-919 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OUTBCON (NIL) -9 NIL 2013966 NIL) (-871 2012890 2013002 2013159 "OUTBCON-" 2013164 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-870 2012270 2012619 2012708 "OSI" 2012821 T OSI (NIL) -8 NIL NIL NIL) (-869 2011800 2012138 2012166 "OSGROUP" 2012171 T OSGROUP (NIL) -9 NIL 2012193 NIL) (-868 2010545 2010772 2011057 "ORTHPOL" 2011547 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-867 2008096 2010380 2010501 "OREUP" 2010506 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-866 2005499 2007787 2007914 "ORESUP" 2008038 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-865 2003027 2003527 2004088 "OREPCTO" 2004988 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-864 1996713 1998914 1998955 "OREPCAT" 2001303 NIL OREPCAT (NIL T) -9 NIL 2002407 NIL) (-863 1993860 1994642 1995700 "OREPCAT-" 1995705 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-862 1993011 1993309 1993337 "ORDSET" 1993646 T ORDSET (NIL) -9 NIL 1993810 NIL) (-861 1992442 1992590 1992814 "ORDSET-" 1992819 NIL ORDSET- (NIL T) -8 NIL NIL NIL) (-860 1991007 1991798 1991826 "ORDRING" 1992028 T ORDRING (NIL) -9 NIL 1992153 NIL) (-859 1990652 1990746 1990890 "ORDRING-" 1990895 NIL ORDRING- (NIL T) -8 NIL NIL NIL) (-858 1990032 1990495 1990523 "ORDMON" 1990528 T ORDMON (NIL) -9 NIL 1990549 NIL) (-857 1989194 1989341 1989536 "ORDFUNS" 1989881 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-856 1988532 1988951 1988979 "ORDFIN" 1989044 T ORDFIN (NIL) -9 NIL 1989118 NIL) (-855 1985091 1987118 1987527 "ORDCOMP" 1988156 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-854 1984357 1984484 1984670 "ORDCOMP2" 1984951 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-853 1980938 1981848 1982662 "OPTPROB" 1983563 T OPTPROB (NIL) -8 NIL NIL NIL) (-852 1977740 1978379 1979083 "OPTPACK" 1980254 T OPTPACK (NIL) -7 NIL NIL NIL) (-851 1975427 1976193 1976221 "OPTCAT" 1977040 T OPTCAT (NIL) -9 NIL 1977690 NIL) (-850 1974811 1975104 1975209 "OPSIG" 1975342 T OPSIG (NIL) -8 NIL NIL NIL) (-849 1974579 1974618 1974684 "OPQUERY" 1974765 T OPQUERY (NIL) -7 NIL NIL NIL) (-848 1971710 1972890 1973394 "OP" 1974108 NIL OP (NIL T) -8 NIL NIL NIL) (-847 1971084 1971310 1971351 "OPERCAT" 1971563 NIL OPERCAT (NIL T) -9 NIL 1971660 NIL) (-846 1970839 1970895 1971012 "OPERCAT-" 1971017 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-845 1967652 1969636 1970005 "ONECOMP" 1970503 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-844 1966957 1967072 1967246 "ONECOMP2" 1967524 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-843 1966376 1966482 1966612 "OMSERVER" 1966847 T OMSERVER (NIL) -7 NIL NIL NIL) (-842 1963238 1965816 1965856 "OMSAGG" 1965917 NIL OMSAGG (NIL T) -9 NIL 1965981 NIL) (-841 1961861 1962124 1962406 "OMPKG" 1962976 T OMPKG (NIL) -7 NIL NIL NIL) (-840 1961291 1961394 1961422 "OM" 1961721 T OM (NIL) -9 NIL NIL NIL) (-839 1959838 1960840 1961009 "OMLO" 1961172 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-838 1958798 1958945 1959165 "OMEXPR" 1959664 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-837 1958089 1958344 1958480 "OMERR" 1958682 T OMERR (NIL) -8 NIL NIL NIL) (-836 1957240 1957510 1957670 "OMERRK" 1957949 T OMERRK (NIL) -8 NIL NIL NIL) (-835 1956691 1956917 1957025 "OMENC" 1957152 T OMENC (NIL) -8 NIL NIL NIL) (-834 1950586 1951771 1952942 "OMDEV" 1955540 T OMDEV (NIL) -8 NIL NIL NIL) (-833 1949655 1949826 1950020 "OMCONN" 1950412 T OMCONN (NIL) -8 NIL NIL NIL) (-832 1948176 1949152 1949180 "OINTDOM" 1949185 T OINTDOM (NIL) -9 NIL 1949206 NIL) (-831 1945514 1946864 1947201 "OFMONOID" 1947871 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-830 1944886 1945451 1945496 "ODVAR" 1945501 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-829 1942309 1944631 1944786 "ODR" 1944791 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-828 1934801 1942085 1942211 "ODPOL" 1942216 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-827 1928832 1934673 1934778 "ODP" 1934783 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-826 1927598 1927813 1928088 "ODETOOLS" 1928606 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-825 1924565 1925223 1925939 "ODESYS" 1926931 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-824 1919447 1920355 1921380 "ODERTRIC" 1923640 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-823 1918873 1918955 1919149 "ODERED" 1919359 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-822 1915761 1916309 1916986 "ODERAT" 1918296 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-821 1912720 1913185 1913782 "ODEPRRIC" 1915290 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-820 1910663 1911259 1911745 "ODEPROB" 1912254 T ODEPROB (NIL) -8 NIL NIL NIL) (-819 1907183 1907668 1908315 "ODEPRIM" 1910142 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-818 1906432 1906534 1906794 "ODEPAL" 1907075 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-817 1902594 1903385 1904249 "ODEPACK" 1905588 T ODEPACK (NIL) -7 NIL NIL NIL) (-816 1901655 1901762 1901984 "ODEINT" 1902483 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-815 1895756 1897181 1898628 "ODEIFTBL" 1900228 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-814 1891154 1891940 1892892 "ODEEF" 1894915 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-813 1890503 1890592 1890815 "ODECONST" 1891059 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-812 1888628 1889289 1889317 "ODECAT" 1889922 T ODECAT (NIL) -9 NIL 1890453 NIL) (-811 1885483 1888333 1888455 "OCT" 1888538 NIL OCT (NIL T) -8 NIL NIL NIL) (-810 1885121 1885164 1885291 "OCTCT2" 1885434 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-809 1879732 1882167 1882207 "OC" 1883304 NIL OC (NIL T) -9 NIL 1884162 NIL) (-808 1876959 1877707 1878697 "OC-" 1878791 NIL OC- (NIL T T) -8 NIL NIL NIL) (-807 1876311 1876779 1876807 "OCAMON" 1876812 T OCAMON (NIL) -9 NIL 1876833 NIL) (-806 1875842 1876183 1876211 "OASGP" 1876216 T OASGP (NIL) -9 NIL 1876236 NIL) (-805 1875103 1875592 1875620 "OAMONS" 1875660 T OAMONS (NIL) -9 NIL 1875703 NIL) (-804 1874517 1874950 1874978 "OAMON" 1874983 T OAMON (NIL) -9 NIL 1875003 NIL) (-803 1873775 1874293 1874321 "OAGROUP" 1874326 T OAGROUP (NIL) -9 NIL 1874346 NIL) (-802 1873465 1873515 1873603 "NUMTUBE" 1873719 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-801 1867038 1868556 1870092 "NUMQUAD" 1871949 T NUMQUAD (NIL) -7 NIL NIL NIL) (-800 1862794 1863782 1864807 "NUMODE" 1866033 T NUMODE (NIL) -7 NIL NIL NIL) (-799 1860149 1861029 1861057 "NUMINT" 1861980 T NUMINT (NIL) -9 NIL 1862744 NIL) (-798 1859097 1859294 1859512 "NUMFMT" 1859951 T NUMFMT (NIL) -7 NIL NIL NIL) (-797 1845456 1848401 1850933 "NUMERIC" 1856604 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-796 1839826 1844905 1845000 "NTSCAT" 1845005 NIL NTSCAT (NIL T T T T) -9 NIL 1845044 NIL) (-795 1839020 1839185 1839378 "NTPOLFN" 1839665 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-794 1827008 1835845 1836657 "NSUP" 1838241 NIL NSUP (NIL T) -8 NIL NIL NIL) (-793 1826640 1826697 1826806 "NSUP2" 1826945 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-792 1816777 1826414 1826547 "NSMP" 1826552 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-791 1815209 1815510 1815867 "NREP" 1816465 NIL NREP (NIL T) -7 NIL NIL NIL) (-790 1813800 1814052 1814410 "NPCOEF" 1814952 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-789 1812866 1812981 1813197 "NORMRETR" 1813681 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-788 1810907 1811197 1811606 "NORMPK" 1812574 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-787 1810592 1810620 1810744 "NORMMA" 1810873 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-786 1810392 1810549 1810578 "NONE" 1810583 T NONE (NIL) -8 NIL NIL NIL) (-785 1810181 1810210 1810279 "NONE1" 1810356 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-784 1809678 1809740 1809919 "NODE1" 1810113 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-783 1807959 1808810 1809065 "NNI" 1809412 T NNI (NIL) -8 NIL NIL 1809647) (-782 1806379 1806692 1807056 "NLINSOL" 1807627 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-781 1802620 1803615 1804514 "NIPROB" 1805500 T NIPROB (NIL) -8 NIL NIL NIL) (-780 1801377 1801611 1801913 "NFINTBAS" 1802382 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-779 1800551 1801027 1801068 "NETCLT" 1801240 NIL NETCLT (NIL T) -9 NIL 1801322 NIL) (-778 1799259 1799490 1799771 "NCODIV" 1800319 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-777 1799021 1799058 1799133 "NCNTFRAC" 1799216 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-776 1797201 1797565 1797985 "NCEP" 1798646 NIL NCEP (NIL T) -7 NIL NIL NIL) (-775 1796052 1796825 1796853 "NASRING" 1796963 T NASRING (NIL) -9 NIL 1797043 NIL) (-774 1795847 1795891 1795985 "NASRING-" 1795990 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-773 1794954 1795479 1795507 "NARNG" 1795624 T NARNG (NIL) -9 NIL 1795715 NIL) (-772 1794646 1794713 1794847 "NARNG-" 1794852 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-771 1793525 1793732 1793967 "NAGSP" 1794431 T NAGSP (NIL) -7 NIL NIL NIL) (-770 1784797 1786481 1788154 "NAGS" 1791872 T NAGS (NIL) -7 NIL NIL NIL) (-769 1783345 1783653 1783984 "NAGF07" 1784486 T NAGF07 (NIL) -7 NIL NIL NIL) (-768 1777883 1779174 1780481 "NAGF04" 1782058 T NAGF04 (NIL) -7 NIL NIL NIL) (-767 1770851 1772465 1774098 "NAGF02" 1776270 T NAGF02 (NIL) -7 NIL NIL NIL) (-766 1766075 1767175 1768292 "NAGF01" 1769754 T NAGF01 (NIL) -7 NIL NIL NIL) (-765 1759703 1761269 1762854 "NAGE04" 1764510 T NAGE04 (NIL) -7 NIL NIL NIL) (-764 1750872 1752993 1755123 "NAGE02" 1757593 T NAGE02 (NIL) -7 NIL NIL NIL) (-763 1746825 1747772 1748736 "NAGE01" 1749928 T NAGE01 (NIL) -7 NIL NIL NIL) (-762 1744620 1745154 1745712 "NAGD03" 1746287 T NAGD03 (NIL) -7 NIL NIL NIL) (-761 1736370 1738298 1740252 "NAGD02" 1742686 T NAGD02 (NIL) -7 NIL NIL NIL) (-760 1730181 1731606 1733046 "NAGD01" 1734950 T NAGD01 (NIL) -7 NIL NIL NIL) (-759 1726390 1727212 1728049 "NAGC06" 1729364 T NAGC06 (NIL) -7 NIL NIL NIL) (-758 1724855 1725187 1725543 "NAGC05" 1726054 T NAGC05 (NIL) -7 NIL NIL NIL) (-757 1724231 1724350 1724494 "NAGC02" 1724731 T NAGC02 (NIL) -7 NIL NIL NIL) (-756 1723190 1723773 1723813 "NAALG" 1723892 NIL NAALG (NIL T) -9 NIL 1723953 NIL) (-755 1723025 1723054 1723144 "NAALG-" 1723149 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-754 1716975 1718083 1719270 "MULTSQFR" 1721921 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-753 1716294 1716369 1716553 "MULTFACT" 1716887 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-752 1708965 1712879 1712932 "MTSCAT" 1714002 NIL MTSCAT (NIL T T) -9 NIL 1714517 NIL) (-751 1708677 1708731 1708823 "MTHING" 1708905 NIL MTHING (NIL T) -7 NIL NIL NIL) (-750 1708469 1708502 1708562 "MSYSCMD" 1708637 T MSYSCMD (NIL) -7 NIL NIL NIL) (-749 1704551 1707224 1707544 "MSET" 1708182 NIL MSET (NIL T) -8 NIL NIL NIL) (-748 1701620 1704112 1704153 "MSETAGG" 1704158 NIL MSETAGG (NIL T) -9 NIL 1704192 NIL) (-747 1697462 1698999 1699744 "MRING" 1700920 NIL MRING (NIL T T) -8 NIL NIL NIL) (-746 1697028 1697095 1697226 "MRF2" 1697389 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-745 1696646 1696681 1696825 "MRATFAC" 1696987 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-744 1694258 1694553 1694984 "MPRFF" 1696351 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-743 1688466 1694112 1694209 "MPOLY" 1694214 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-742 1687956 1687991 1688199 "MPCPF" 1688425 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-741 1687470 1687513 1687697 "MPC3" 1687907 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-740 1686665 1686746 1686967 "MPC2" 1687385 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-739 1684966 1685303 1685693 "MONOTOOL" 1686325 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-738 1684191 1684508 1684536 "MONOID" 1684755 T MONOID (NIL) -9 NIL 1684902 NIL) (-737 1683737 1683856 1684037 "MONOID-" 1684042 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-736 1673472 1679515 1679574 "MONOGEN" 1680248 NIL MONOGEN (NIL T T) -9 NIL 1680704 NIL) (-735 1670690 1671425 1672425 "MONOGEN-" 1672544 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-734 1669523 1669969 1669997 "MONADWU" 1670389 T MONADWU (NIL) -9 NIL 1670627 NIL) (-733 1668895 1669054 1669302 "MONADWU-" 1669307 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-732 1668254 1668498 1668526 "MONAD" 1668733 T MONAD (NIL) -9 NIL 1668845 NIL) (-731 1667939 1668017 1668149 "MONAD-" 1668154 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-730 1666228 1666852 1667131 "MOEBIUS" 1667692 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-729 1665506 1665910 1665950 "MODULE" 1665955 NIL MODULE (NIL T) -9 NIL 1665994 NIL) (-728 1665074 1665170 1665360 "MODULE-" 1665365 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-727 1662754 1663438 1663765 "MODRING" 1664898 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-726 1659698 1660859 1661380 "MODOP" 1662283 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-725 1658286 1658765 1659042 "MODMONOM" 1659561 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-724 1648241 1656577 1656991 "MODMON" 1657923 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-723 1645397 1647085 1647361 "MODFIELD" 1648116 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-722 1644374 1644678 1644868 "MMLFORM" 1645227 T MMLFORM (NIL) -8 NIL NIL NIL) (-721 1643900 1643943 1644122 "MMAP" 1644325 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-720 1641979 1642746 1642787 "MLO" 1643210 NIL MLO (NIL T) -9 NIL 1643452 NIL) (-719 1639345 1639861 1640463 "MLIFT" 1641460 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-718 1638736 1638820 1638974 "MKUCFUNC" 1639256 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-717 1638335 1638405 1638528 "MKRECORD" 1638659 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-716 1637382 1637544 1637772 "MKFUNC" 1638146 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-715 1636770 1636874 1637030 "MKFLCFN" 1637265 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-714 1636047 1636149 1636334 "MKBCFUNC" 1636663 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-713 1632722 1635601 1635737 "MINT" 1635931 T MINT (NIL) -8 NIL NIL NIL) (-712 1631534 1631777 1632054 "MHROWRED" 1632477 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-711 1626914 1630069 1630474 "MFLOAT" 1631149 T MFLOAT (NIL) -8 NIL NIL NIL) (-710 1626271 1626347 1626518 "MFINFACT" 1626826 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-709 1622586 1623434 1624318 "MESH" 1625407 T MESH (NIL) -7 NIL NIL NIL) (-708 1620976 1621288 1621641 "MDDFACT" 1622273 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-707 1617771 1620135 1620176 "MDAGG" 1620431 NIL MDAGG (NIL T) -9 NIL 1620574 NIL) (-706 1606658 1617064 1617271 "MCMPLX" 1617584 T MCMPLX (NIL) -8 NIL NIL NIL) (-705 1605795 1605941 1606142 "MCDEN" 1606507 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-704 1603685 1603955 1604335 "MCALCFN" 1605525 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-703 1602610 1602850 1603083 "MAYBE" 1603491 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-702 1600222 1600745 1601307 "MATSTOR" 1602081 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-701 1596179 1599594 1599842 "MATRIX" 1600007 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-700 1591945 1592652 1593388 "MATLIN" 1595536 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-699 1582051 1585237 1585314 "MATCAT" 1590194 NIL MATCAT (NIL T T T) -9 NIL 1591611 NIL) (-698 1578407 1579428 1580784 "MATCAT-" 1580789 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-697 1577001 1577154 1577487 "MATCAT2" 1578242 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-696 1575113 1575437 1575821 "MAPPKG3" 1576676 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-695 1574094 1574267 1574489 "MAPPKG2" 1574937 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-694 1572593 1572877 1573204 "MAPPKG1" 1573800 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-693 1571672 1571999 1572176 "MAPPAST" 1572436 T MAPPAST (NIL) -8 NIL NIL NIL) (-692 1571283 1571341 1571464 "MAPHACK3" 1571608 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-691 1570875 1570936 1571050 "MAPHACK2" 1571215 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-690 1570313 1570416 1570558 "MAPHACK1" 1570766 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-689 1568392 1569013 1569317 "MAGMA" 1570041 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-688 1567871 1568116 1568207 "MACROAST" 1568321 T MACROAST (NIL) -8 NIL NIL NIL) (-687 1564289 1566110 1566571 "M3D" 1567443 NIL M3D (NIL T) -8 NIL NIL NIL) (-686 1558364 1562628 1562669 "LZSTAGG" 1563451 NIL LZSTAGG (NIL T) -9 NIL 1563746 NIL) (-685 1554322 1555495 1556952 "LZSTAGG-" 1556957 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-684 1551409 1552213 1552700 "LWORD" 1553867 NIL LWORD (NIL T) -8 NIL NIL NIL) (-683 1550985 1551213 1551288 "LSTAST" 1551354 T LSTAST (NIL) -8 NIL NIL NIL) (-682 1544062 1550756 1550890 "LSQM" 1550895 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-681 1543286 1543425 1543653 "LSPP" 1543917 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-680 1541098 1541399 1541855 "LSMP" 1542975 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-679 1537877 1538551 1539281 "LSMP1" 1540400 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-678 1531723 1537014 1537055 "LSAGG" 1537117 NIL LSAGG (NIL T) -9 NIL 1537195 NIL) (-677 1528418 1529342 1530555 "LSAGG-" 1530560 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-676 1526017 1527562 1527811 "LPOLY" 1528213 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-675 1525599 1525684 1525807 "LPEFRAC" 1525926 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-674 1523920 1524693 1524946 "LO" 1525431 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1523572 1523684 1523712 "LOGIC" 1523823 T LOGIC (NIL) -9 NIL 1523904 NIL) (-672 1523434 1523457 1523528 "LOGIC-" 1523533 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-671 1522627 1522767 1522960 "LODOOPS" 1523290 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-670 1520050 1522543 1522609 "LODO" 1522614 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-669 1518588 1518823 1519176 "LODOF" 1519797 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-668 1514792 1517223 1517264 "LODOCAT" 1517702 NIL LODOCAT (NIL T) -9 NIL 1517913 NIL) (-667 1514525 1514583 1514710 "LODOCAT-" 1514715 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-666 1511845 1514366 1514484 "LODO2" 1514489 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-665 1509280 1511782 1511827 "LODO1" 1511832 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-664 1508161 1508326 1508631 "LODEEF" 1509103 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-663 1503464 1506355 1506396 "LNAGG" 1507258 NIL LNAGG (NIL T) -9 NIL 1507693 NIL) (-662 1502611 1502825 1503167 "LNAGG-" 1503172 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-661 1498747 1499536 1500175 "LMOPS" 1502026 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-660 1498150 1498538 1498579 "LMODULE" 1498584 NIL LMODULE (NIL T) -9 NIL 1498610 NIL) (-659 1495348 1497795 1497918 "LMDICT" 1498060 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-658 1494980 1495152 1495193 "LLINSET" 1495254 NIL LLINSET (NIL T) -9 NIL 1495298 NIL) (-657 1494679 1494888 1494948 "LITERAL" 1494953 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-656 1487842 1493613 1493917 "LIST" 1494408 NIL LIST (NIL T) -8 NIL NIL NIL) (-655 1487367 1487441 1487580 "LIST3" 1487762 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-654 1486374 1486552 1486780 "LIST2" 1487185 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-653 1484508 1484820 1485219 "LIST2MAP" 1486021 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-652 1484153 1484341 1484382 "LINSET" 1484387 NIL LINSET (NIL T) -9 NIL 1484421 NIL) (-651 1482882 1483415 1483456 "LINEXP" 1483807 NIL LINEXP (NIL T) -9 NIL 1483998 NIL) (-650 1481459 1481719 1482030 "LINDEP" 1482634 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-649 1478226 1478945 1479722 "LIMITRF" 1480714 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-648 1476529 1476825 1477234 "LIMITPS" 1477921 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-647 1470957 1476040 1476268 "LIE" 1476350 NIL LIE (NIL T T) -8 NIL NIL NIL) (-646 1469905 1470374 1470414 "LIECAT" 1470554 NIL LIECAT (NIL T) -9 NIL 1470705 NIL) (-645 1469746 1469773 1469861 "LIECAT-" 1469866 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-644 1462333 1469286 1469442 "LIB" 1469610 T LIB (NIL) -8 NIL NIL NIL) (-643 1457968 1458851 1459786 "LGROBP" 1461450 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-642 1455966 1456240 1456590 "LF" 1457689 NIL LF (NIL T T) -7 NIL NIL NIL) (-641 1454806 1455498 1455526 "LFCAT" 1455733 T LFCAT (NIL) -9 NIL 1455872 NIL) (-640 1451708 1452338 1453026 "LEXTRIPK" 1454170 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-639 1448452 1449278 1449781 "LEXP" 1451288 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-638 1447928 1448173 1448265 "LETAST" 1448380 T LETAST (NIL) -8 NIL NIL NIL) (-637 1446326 1446639 1447040 "LEADCDET" 1447610 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-636 1445516 1445590 1445819 "LAZM3PK" 1446247 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-635 1440433 1443593 1444131 "LAUPOL" 1445028 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-634 1440012 1440056 1440217 "LAPLACE" 1440383 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-633 1437951 1439113 1439364 "LA" 1439845 NIL LA (NIL T T T) -8 NIL NIL NIL) (-632 1436945 1437529 1437570 "LALG" 1437632 NIL LALG (NIL T) -9 NIL 1437691 NIL) (-631 1436659 1436718 1436854 "LALG-" 1436859 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-630 1436494 1436518 1436559 "KVTFROM" 1436621 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-629 1435417 1435861 1436046 "KTVLOGIC" 1436329 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-628 1435252 1435276 1435317 "KRCFROM" 1435379 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-627 1434156 1434343 1434642 "KOVACIC" 1435052 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-626 1433991 1434015 1434056 "KONVERT" 1434118 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-625 1433826 1433850 1433891 "KOERCE" 1433953 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-624 1431657 1432419 1432796 "KERNEL" 1433482 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-623 1431153 1431234 1431366 "KERNEL2" 1431571 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-622 1424923 1429692 1429746 "KDAGG" 1430123 NIL KDAGG (NIL T T) -9 NIL 1430329 NIL) (-621 1424452 1424576 1424781 "KDAGG-" 1424786 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-620 1417600 1424113 1424268 "KAFILE" 1424330 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-619 1412028 1417111 1417339 "JORDAN" 1417421 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-618 1411407 1411677 1411798 "JOINAST" 1411927 T JOINAST (NIL) -8 NIL NIL NIL) (-617 1411253 1411312 1411367 "JAVACODE" 1411372 T JAVACODE (NIL) -8 NIL NIL NIL) (-616 1407505 1409458 1409512 "IXAGG" 1410441 NIL IXAGG (NIL T T) -9 NIL 1410900 NIL) (-615 1406424 1406730 1407149 "IXAGG-" 1407154 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-614 1401954 1406346 1406405 "IVECTOR" 1406410 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-613 1400720 1400957 1401223 "ITUPLE" 1401721 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-612 1399222 1399399 1399694 "ITRIGMNP" 1400542 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-611 1397967 1398171 1398454 "ITFUN3" 1398998 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-610 1397599 1397656 1397765 "ITFUN2" 1397904 NIL ITFUN2 (NIL T T) -7 NIL NIL NIL) (-609 1396758 1397079 1397253 "ITFORM" 1397445 T ITFORM (NIL) -8 NIL NIL NIL) (-608 1394719 1395778 1396056 "ITAYLOR" 1396513 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-607 1383664 1388856 1390019 "ISUPS" 1393589 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-606 1382768 1382908 1383144 "ISUMP" 1383511 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-605 1378143 1382713 1382754 "ISTRING" 1382759 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-604 1377619 1377864 1377956 "ISAST" 1378071 T ISAST (NIL) -8 NIL NIL NIL) (-603 1376828 1376910 1377126 "IRURPK" 1377533 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-602 1375764 1375965 1376205 "IRSN" 1376608 T IRSN (NIL) -7 NIL NIL NIL) (-601 1373835 1374190 1374619 "IRRF2F" 1375402 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-600 1373582 1373620 1373696 "IRREDFFX" 1373791 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-599 1372197 1372456 1372755 "IROOT" 1373315 NIL IROOT (NIL T) -7 NIL NIL NIL) (-598 1368801 1369881 1370573 "IR" 1371537 NIL IR (NIL T) -8 NIL NIL NIL) (-597 1368006 1368294 1368445 "IRFORM" 1368670 T IRFORM (NIL) -8 NIL NIL NIL) (-596 1365619 1366114 1366680 "IR2" 1367484 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-595 1364719 1364832 1365046 "IR2F" 1365502 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-594 1364510 1364544 1364604 "IPRNTPK" 1364679 T IPRNTPK (NIL) -7 NIL NIL NIL) (-593 1361091 1364399 1364468 "IPF" 1364473 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-592 1359418 1361016 1361073 "IPADIC" 1361078 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-591 1358730 1358978 1359108 "IP4ADDR" 1359308 T IP4ADDR (NIL) -8 NIL NIL NIL) (-590 1358104 1358359 1358491 "IOMODE" 1358618 T IOMODE (NIL) -8 NIL NIL NIL) (-589 1357177 1357701 1357828 "IOBFILE" 1357997 T IOBFILE (NIL) -8 NIL NIL NIL) (-588 1356665 1357081 1357109 "IOBCON" 1357114 T IOBCON (NIL) -9 NIL 1357135 NIL) (-587 1356176 1356234 1356417 "INVLAPLA" 1356601 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-586 1345824 1348178 1350564 "INTTR" 1353840 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-585 1342159 1342901 1343766 "INTTOOLS" 1345009 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-584 1341745 1341836 1341953 "INTSLPE" 1342062 T INTSLPE (NIL) -7 NIL NIL NIL) (-583 1339698 1341668 1341727 "INTRVL" 1341732 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-582 1337300 1337812 1338387 "INTRF" 1339183 NIL INTRF (NIL T) -7 NIL NIL NIL) (-581 1336711 1336808 1336950 "INTRET" 1337198 NIL INTRET (NIL T) -7 NIL NIL NIL) (-580 1334708 1335097 1335567 "INTRAT" 1336319 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-579 1331971 1332554 1333173 "INTPM" 1334193 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-578 1328716 1329315 1330053 "INTPAF" 1331357 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-577 1323895 1324857 1325908 "INTPACK" 1327685 T INTPACK (NIL) -7 NIL NIL NIL) (-576 1320793 1323692 1323801 "INT" 1323806 T INT (NIL) -8 NIL NIL NIL) (-575 1320045 1320197 1320405 "INTHERTR" 1320635 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-574 1319484 1319564 1319752 "INTHERAL" 1319959 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-573 1317330 1317773 1318230 "INTHEORY" 1319047 T INTHEORY (NIL) -7 NIL NIL NIL) (-572 1308736 1310357 1312129 "INTG0" 1315682 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-571 1289309 1294099 1298909 "INTFTBL" 1303946 T INTFTBL (NIL) -8 NIL NIL NIL) (-570 1288558 1288696 1288869 "INTFACT" 1289168 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-569 1285985 1286431 1286988 "INTEF" 1288112 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-568 1284352 1285091 1285119 "INTDOM" 1285420 T INTDOM (NIL) -9 NIL 1285627 NIL) (-567 1283721 1283895 1284137 "INTDOM-" 1284142 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-566 1280109 1282037 1282091 "INTCAT" 1282890 NIL INTCAT (NIL T) -9 NIL 1283211 NIL) (-565 1279581 1279684 1279812 "INTBIT" 1280001 T INTBIT (NIL) -7 NIL NIL NIL) (-564 1278280 1278434 1278741 "INTALG" 1279426 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-563 1277763 1277853 1278010 "INTAF" 1278184 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-562 1271106 1277573 1277713 "INTABL" 1277718 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-561 1270439 1270905 1270970 "INT8" 1271004 T INT8 (NIL) -8 NIL NIL 1271049) (-560 1269771 1270237 1270302 "INT64" 1270336 T INT64 (NIL) -8 NIL NIL 1270381) (-559 1269103 1269569 1269634 "INT32" 1269668 T INT32 (NIL) -8 NIL NIL 1269713) (-558 1268435 1268901 1268966 "INT16" 1269000 T INT16 (NIL) -8 NIL NIL 1269045) (-557 1263230 1265996 1266024 "INS" 1266958 T INS (NIL) -9 NIL 1267623 NIL) (-556 1260470 1261241 1262215 "INS-" 1262288 NIL INS- (NIL T) -8 NIL NIL NIL) (-555 1259245 1259472 1259770 "INPSIGN" 1260223 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-554 1258363 1258480 1258677 "INPRODPF" 1259125 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-553 1257257 1257374 1257611 "INPRODFF" 1258243 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-552 1256257 1256409 1256669 "INNMFACT" 1257093 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-551 1255454 1255551 1255739 "INMODGCD" 1256156 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-550 1253962 1254207 1254531 "INFSP" 1255199 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-549 1253146 1253263 1253446 "INFPROD0" 1253842 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-548 1250001 1251211 1251726 "INFORM" 1252639 T INFORM (NIL) -8 NIL NIL NIL) (-547 1249611 1249671 1249769 "INFORM1" 1249936 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-546 1249134 1249223 1249337 "INFINITY" 1249517 T INFINITY (NIL) -7 NIL NIL NIL) (-545 1248310 1248854 1248955 "INETCLTS" 1249053 T INETCLTS (NIL) -8 NIL NIL NIL) (-544 1246926 1247176 1247497 "INEP" 1248058 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-543 1246175 1246823 1246888 "INDE" 1246893 NIL INDE (NIL T) -8 NIL NIL NIL) (-542 1245739 1245807 1245924 "INCRMAPS" 1246102 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-541 1244557 1245008 1245214 "INBFILE" 1245553 T INBFILE (NIL) -8 NIL NIL NIL) (-540 1239856 1240793 1241737 "INBFF" 1243645 NIL INBFF (NIL T) -7 NIL NIL NIL) (-539 1238764 1239033 1239061 "INBCON" 1239574 T INBCON (NIL) -9 NIL 1239840 NIL) (-538 1238016 1238239 1238515 "INBCON-" 1238520 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-537 1237495 1237740 1237831 "INAST" 1237945 T INAST (NIL) -8 NIL NIL NIL) (-536 1236922 1237174 1237280 "IMPTAST" 1237409 T IMPTAST (NIL) -8 NIL NIL NIL) (-535 1233368 1236766 1236870 "IMATRIX" 1236875 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-534 1232076 1232199 1232515 "IMATQF" 1233224 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-533 1230296 1230523 1230860 "IMATLIN" 1231832 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-532 1224874 1230220 1230278 "ILIST" 1230283 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-531 1222779 1224734 1224847 "IIARRAY2" 1224852 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-530 1218177 1222690 1222754 "IFF" 1222759 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-529 1217524 1217794 1217910 "IFAST" 1218081 T IFAST (NIL) -8 NIL NIL NIL) (-528 1212519 1216816 1217004 "IFARRAY" 1217381 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-527 1211699 1212423 1212496 "IFAMON" 1212501 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-526 1211283 1211348 1211402 "IEVALAB" 1211609 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-525 1210958 1211026 1211186 "IEVALAB-" 1211191 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-524 1210589 1210872 1210935 "IDPO" 1210940 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1209839 1210478 1210553 "IDPOAMS" 1210558 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-522 1209146 1209728 1209803 "IDPOAM" 1209808 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-521 1208205 1208481 1208534 "IDPC" 1208947 NIL IDPC (NIL T T) -9 NIL 1209096 NIL) (-520 1207674 1208097 1208170 "IDPAM" 1208175 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-519 1207050 1207566 1207639 "IDPAG" 1207644 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-518 1206695 1206886 1206961 "IDENT" 1206995 T IDENT (NIL) -8 NIL NIL NIL) (-517 1202950 1203798 1204693 "IDECOMP" 1205852 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-516 1195787 1196873 1197920 "IDEAL" 1201986 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-515 1194947 1195059 1195259 "ICDEN" 1195671 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-514 1194018 1194427 1194574 "ICARD" 1194820 T ICARD (NIL) -8 NIL NIL NIL) (-513 1192078 1192391 1192796 "IBPTOOLS" 1193695 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-512 1187685 1191698 1191811 "IBITS" 1191997 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-511 1184408 1184984 1185679 "IBATOOL" 1187102 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-510 1182187 1182649 1183182 "IBACHIN" 1183943 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-509 1180016 1182033 1182136 "IARRAY2" 1182141 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-508 1176122 1179942 1179999 "IARRAY1" 1180004 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-507 1170160 1174534 1175015 "IAN" 1175661 T IAN (NIL) -8 NIL NIL NIL) (-506 1169671 1169728 1169901 "IALGFACT" 1170097 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-505 1169199 1169312 1169340 "HYPCAT" 1169547 T HYPCAT (NIL) -9 NIL NIL NIL) (-504 1168737 1168854 1169040 "HYPCAT-" 1169045 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-503 1168332 1168532 1168615 "HOSTNAME" 1168674 T HOSTNAME (NIL) -8 NIL NIL NIL) (-502 1168177 1168214 1168255 "HOMOTOP" 1168260 NIL HOMOTOP (NIL T) -9 NIL 1168293 NIL) (-501 1164809 1166187 1166228 "HOAGG" 1167209 NIL HOAGG (NIL T) -9 NIL 1167888 NIL) (-500 1163403 1163802 1164328 "HOAGG-" 1164333 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-499 1157312 1162996 1163146 "HEXADEC" 1163273 T HEXADEC (NIL) -8 NIL NIL NIL) (-498 1156060 1156282 1156545 "HEUGCD" 1157089 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-497 1155136 1155897 1156027 "HELLFDIV" 1156032 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-496 1153315 1154913 1155001 "HEAP" 1155080 NIL HEAP (NIL T) -8 NIL NIL NIL) (-495 1152578 1152867 1153001 "HEADAST" 1153201 T HEADAST (NIL) -8 NIL NIL NIL) (-494 1146653 1152493 1152555 "HDP" 1152560 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-493 1140552 1146288 1146440 "HDMP" 1146554 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-492 1139876 1140016 1140180 "HB" 1140408 T HB (NIL) -7 NIL NIL NIL) (-491 1133262 1139722 1139826 "HASHTBL" 1139831 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-490 1132738 1132983 1133075 "HASAST" 1133190 T HASAST (NIL) -8 NIL NIL NIL) (-489 1130516 1132360 1132542 "HACKPI" 1132576 T HACKPI (NIL) -8 NIL NIL NIL) (-488 1126184 1130369 1130482 "GTSET" 1130487 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-487 1119599 1126062 1126160 "GSTBL" 1126165 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-486 1111986 1118764 1119020 "GSERIES" 1119399 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-485 1111127 1111544 1111572 "GROUP" 1111775 T GROUP (NIL) -9 NIL 1111909 NIL) (-484 1110493 1110652 1110903 "GROUP-" 1110908 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-483 1108860 1109181 1109568 "GROEBSOL" 1110170 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-482 1107774 1108062 1108113 "GRMOD" 1108642 NIL GRMOD (NIL T T) -9 NIL 1108810 NIL) (-481 1107542 1107578 1107706 "GRMOD-" 1107711 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-480 1102832 1103896 1104896 "GRIMAGE" 1106562 T GRIMAGE (NIL) -8 NIL NIL NIL) (-479 1101298 1101559 1101883 "GRDEF" 1102528 T GRDEF (NIL) -7 NIL NIL NIL) (-478 1100742 1100858 1100999 "GRAY" 1101177 T GRAY (NIL) -7 NIL NIL NIL) (-477 1099929 1100335 1100386 "GRALG" 1100539 NIL GRALG (NIL T T) -9 NIL 1100632 NIL) (-476 1099590 1099663 1099826 "GRALG-" 1099831 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-475 1096367 1099175 1099353 "GPOLSET" 1099497 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-474 1095721 1095778 1096036 "GOSPER" 1096304 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-473 1091453 1092159 1092685 "GMODPOL" 1095420 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-472 1090458 1090642 1090880 "GHENSEL" 1091265 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-471 1084614 1085457 1086477 "GENUPS" 1089542 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-470 1084311 1084362 1084451 "GENUFACT" 1084557 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-469 1083723 1083800 1083965 "GENPGCD" 1084229 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-468 1083197 1083232 1083445 "GENMFACT" 1083682 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-467 1081763 1082020 1082327 "GENEEZ" 1082940 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-466 1075822 1081374 1081536 "GDMP" 1081686 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-465 1065165 1069593 1070699 "GCNAALG" 1074805 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-464 1063492 1064354 1064382 "GCDDOM" 1064637 T GCDDOM (NIL) -9 NIL 1064794 NIL) (-463 1062962 1063089 1063304 "GCDDOM-" 1063309 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-462 1061634 1061819 1062123 "GB" 1062741 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-461 1050250 1052580 1054972 "GBINTERN" 1059325 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-460 1048087 1048379 1048800 "GBF" 1049925 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-459 1046868 1047033 1047300 "GBEUCLID" 1047903 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-458 1046217 1046342 1046491 "GAUSSFAC" 1046739 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-457 1044584 1044886 1045200 "GALUTIL" 1045936 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-456 1042892 1043166 1043490 "GALPOLYU" 1044311 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-455 1040257 1040547 1040954 "GALFACTU" 1042589 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-454 1032063 1033562 1035170 "GALFACT" 1038689 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-453 1029451 1030109 1030137 "FVFUN" 1031293 T FVFUN (NIL) -9 NIL 1032013 NIL) (-452 1028717 1028899 1028927 "FVC" 1029218 T FVC (NIL) -9 NIL 1029401 NIL) (-451 1028360 1028542 1028610 "FUNDESC" 1028669 T FUNDESC (NIL) -8 NIL NIL NIL) (-450 1027975 1028157 1028238 "FUNCTION" 1028312 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-449 1025719 1026297 1026763 "FT" 1027529 T FT (NIL) -8 NIL NIL NIL) (-448 1024510 1025020 1025223 "FTEM" 1025536 T FTEM (NIL) -8 NIL NIL NIL) (-447 1022801 1023090 1023487 "FSUPFACT" 1024201 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-446 1021198 1021487 1021819 "FST" 1022489 T FST (NIL) -8 NIL NIL NIL) (-445 1020397 1020503 1020691 "FSRED" 1021080 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-444 1019096 1019352 1019699 "FSPRMELT" 1020112 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-443 1016402 1016840 1017326 "FSPECF" 1018659 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-442 997704 1006176 1006217 "FS" 1010101 NIL FS (NIL T) -9 NIL 1012390 NIL) (-441 986347 989340 993397 "FS-" 993697 NIL FS- (NIL T T) -8 NIL NIL NIL) (-440 985875 985929 986099 "FSINT" 986288 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-439 984167 984868 985171 "FSERIES" 985654 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-438 983209 983325 983549 "FSCINT" 984047 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-437 979417 982153 982194 "FSAGG" 982564 NIL FSAGG (NIL T) -9 NIL 982823 NIL) (-436 977179 977780 978576 "FSAGG-" 978671 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-435 976221 976364 976591 "FSAGG2" 977032 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-434 973899 974179 974727 "FS2UPS" 975939 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-433 973533 973576 973705 "FS2" 973850 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-432 972411 972582 972884 "FS2EXPXP" 973358 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-431 971837 971952 972104 "FRUTIL" 972291 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-430 963250 967332 968690 "FR" 970511 NIL FR (NIL T) -8 NIL NIL NIL) (-429 958264 960939 960979 "FRNAALG" 962299 NIL FRNAALG (NIL T) -9 NIL 962897 NIL) (-428 953937 955013 956288 "FRNAALG-" 957038 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-427 953575 953618 953745 "FRNAAF2" 953888 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-426 951950 952424 952720 "FRMOD" 953387 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-425 949693 950325 950643 "FRIDEAL" 951741 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-424 948884 948971 949262 "FRIDEAL2" 949600 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-423 948017 948431 948472 "FRETRCT" 948477 NIL FRETRCT (NIL T) -9 NIL 948653 NIL) (-422 947129 947360 947711 "FRETRCT-" 947716 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-421 944217 945427 945486 "FRAMALG" 946368 NIL FRAMALG (NIL T T) -9 NIL 946660 NIL) (-420 942351 942806 943436 "FRAMALG-" 943659 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-419 936181 941824 942101 "FRAC" 942106 NIL FRAC (NIL T) -8 NIL NIL NIL) (-418 935817 935874 935981 "FRAC2" 936118 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-417 935453 935510 935617 "FR2" 935754 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-416 929966 932859 932887 "FPS" 934006 T FPS (NIL) -9 NIL 934563 NIL) (-415 929415 929524 929688 "FPS-" 929834 NIL FPS- (NIL T) -8 NIL NIL NIL) (-414 926717 928386 928414 "FPC" 928639 T FPC (NIL) -9 NIL 928781 NIL) (-413 926510 926550 926647 "FPC-" 926652 NIL FPC- (NIL T) -8 NIL NIL NIL) (-412 925300 925998 926039 "FPATMAB" 926044 NIL FPATMAB (NIL T) -9 NIL 926196 NIL) (-411 923539 924042 924389 "FPARFRAC" 925016 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-410 918933 919431 920113 "FORTRAN" 922971 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-409 916649 917149 917688 "FORT" 918414 T FORT (NIL) -7 NIL NIL NIL) (-408 914325 914887 914915 "FORTFN" 915975 T FORTFN (NIL) -9 NIL 916599 NIL) (-407 914089 914139 914167 "FORTCAT" 914226 T FORTCAT (NIL) -9 NIL 914288 NIL) (-406 912195 912705 913095 "FORMULA" 913719 T FORMULA (NIL) -8 NIL NIL NIL) (-405 911983 912013 912082 "FORMULA1" 912159 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-404 911506 911558 911731 "FORDER" 911925 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-403 910602 910766 910959 "FOP" 911333 T FOP (NIL) -7 NIL NIL NIL) (-402 909183 909882 910056 "FNLA" 910484 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-401 907912 908327 908355 "FNCAT" 908815 T FNCAT (NIL) -9 NIL 909075 NIL) (-400 907451 907871 907899 "FNAME" 907904 T FNAME (NIL) -8 NIL NIL NIL) (-399 906014 906977 907005 "FMTC" 907010 T FMTC (NIL) -9 NIL 907046 NIL) (-398 904760 905950 905996 "FMONOID" 906001 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-397 901588 902756 902797 "FMONCAT" 904014 NIL FMONCAT (NIL T) -9 NIL 904619 NIL) (-396 900780 901330 901479 "FM" 901484 NIL FM (NIL T T) -8 NIL NIL NIL) (-395 898204 898850 898878 "FMFUN" 900022 T FMFUN (NIL) -9 NIL 900730 NIL) (-394 897473 897654 897682 "FMC" 897972 T FMC (NIL) -9 NIL 898154 NIL) (-393 894552 895412 895466 "FMCAT" 896661 NIL FMCAT (NIL T T) -9 NIL 897156 NIL) (-392 893418 894318 894418 "FM1" 894497 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-391 891192 891608 892102 "FLOATRP" 892969 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-390 884770 888921 889542 "FLOAT" 890591 T FLOAT (NIL) -8 NIL NIL NIL) (-389 882208 882708 883286 "FLOATCP" 884237 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-388 881055 881814 881855 "FLINEXP" 881860 NIL FLINEXP (NIL T) -9 NIL 881953 NIL) (-387 879987 880284 880692 "FLINEXP-" 880697 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-386 879063 879207 879431 "FLASORT" 879839 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-385 876179 877047 877099 "FLALG" 878326 NIL FLALG (NIL T T) -9 NIL 878793 NIL) (-384 869883 873635 873676 "FLAGG" 874938 NIL FLAGG (NIL T) -9 NIL 875590 NIL) (-383 868609 868948 869438 "FLAGG-" 869443 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-382 867651 867794 868021 "FLAGG2" 868462 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-381 864502 865510 865569 "FINRALG" 866697 NIL FINRALG (NIL T T) -9 NIL 867205 NIL) (-380 863662 863891 864230 "FINRALG-" 864235 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-379 863042 863281 863309 "FINITE" 863505 T FINITE (NIL) -9 NIL 863612 NIL) (-378 855399 857586 857626 "FINAALG" 861293 NIL FINAALG (NIL T) -9 NIL 862746 NIL) (-377 850731 851781 852925 "FINAALG-" 854304 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-376 850099 850486 850589 "FILE" 850661 NIL FILE (NIL T) -8 NIL NIL NIL) (-375 848757 849095 849149 "FILECAT" 849833 NIL FILECAT (NIL T T) -9 NIL 850049 NIL) (-374 846473 848001 848029 "FIELD" 848069 T FIELD (NIL) -9 NIL 848149 NIL) (-373 845093 845478 845989 "FIELD-" 845994 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-372 842943 843728 844075 "FGROUP" 844779 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-371 842033 842197 842417 "FGLMICPK" 842775 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-370 837865 841958 842015 "FFX" 842020 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-369 837466 837527 837662 "FFSLPE" 837798 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-368 833456 834238 835034 "FFPOLY" 836702 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-367 832960 832996 833205 "FFPOLY2" 833414 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-366 828806 832879 832942 "FFP" 832947 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-365 824204 828717 828781 "FF" 828786 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-364 819330 823547 823737 "FFNBX" 824058 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-363 814258 818465 818723 "FFNBP" 819184 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-362 808891 813542 813753 "FFNB" 814091 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-361 807723 807921 808236 "FFINTBAS" 808688 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-360 803749 805970 805998 "FFIELDC" 806618 T FFIELDC (NIL) -9 NIL 806994 NIL) (-359 802411 802782 803279 "FFIELDC-" 803284 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-358 801980 802026 802150 "FFHOM" 802353 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-357 799675 800162 800679 "FFF" 801495 NIL FFF (NIL T) -7 NIL NIL NIL) (-356 795293 799417 799518 "FFCGX" 799618 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-355 790915 795025 795132 "FFCGP" 795236 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-354 786098 790642 790750 "FFCG" 790851 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-353 765779 775774 775860 "FFCAT" 781025 NIL FFCAT (NIL T T T) -9 NIL 782476 NIL) (-352 760976 762024 763338 "FFCAT-" 764568 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-351 760387 760430 760665 "FFCAT2" 760927 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-350 749710 753359 754579 "FEXPR" 759239 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-349 748672 749107 749148 "FEVALAB" 749232 NIL FEVALAB (NIL T) -9 NIL 749493 NIL) (-348 747831 748041 748379 "FEVALAB-" 748384 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-347 746397 747214 747417 "FDIV" 747730 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-346 743417 744158 744273 "FDIVCAT" 745841 NIL FDIVCAT (NIL T T T T) -9 NIL 746278 NIL) (-345 743179 743206 743376 "FDIVCAT-" 743381 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-344 742399 742486 742763 "FDIV2" 743086 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-343 741373 741694 741896 "FCTRDATA" 742217 T FCTRDATA (NIL) -8 NIL NIL NIL) (-342 740059 740318 740607 "FCPAK1" 741104 T FCPAK1 (NIL) -7 NIL NIL NIL) (-341 739158 739559 739700 "FCOMP" 739950 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-340 722863 726308 729846 "FC" 735640 T FC (NIL) -8 NIL NIL NIL) (-339 715142 719170 719210 "FAXF" 721012 NIL FAXF (NIL T) -9 NIL 721704 NIL) (-338 712419 713076 713901 "FAXF-" 714366 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-337 707471 711795 711971 "FARRAY" 712276 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-336 702365 704432 704485 "FAMR" 705508 NIL FAMR (NIL T T) -9 NIL 705968 NIL) (-335 701255 701557 701992 "FAMR-" 701997 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-334 700424 701177 701230 "FAMONOID" 701235 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-333 698210 698920 698973 "FAMONC" 699914 NIL FAMONC (NIL T T) -9 NIL 700300 NIL) (-332 696874 697964 698101 "FAGROUP" 698106 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-331 694669 694988 695391 "FACUTIL" 696555 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-330 693768 693953 694175 "FACTFUNC" 694479 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-329 686190 693071 693270 "EXPUPXS" 693624 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-328 683673 684213 684799 "EXPRTUBE" 685624 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-327 679944 680536 681266 "EXPRODE" 683012 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-326 665663 678593 679022 "EXPR" 679548 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 660217 660804 661610 "EXPR2UPS" 664961 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-324 659849 659906 660015 "EXPR2" 660154 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-323 651102 659000 659291 "EXPEXPAN" 659685 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-322 650902 651059 651088 "EXIT" 651093 T EXIT (NIL) -8 NIL NIL NIL) (-321 650382 650626 650717 "EXITAST" 650831 T EXITAST (NIL) -8 NIL NIL NIL) (-320 650009 650071 650184 "EVALCYC" 650314 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-319 649550 649668 649709 "EVALAB" 649879 NIL EVALAB (NIL T) -9 NIL 649983 NIL) (-318 649031 649153 649374 "EVALAB-" 649379 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-317 646399 647701 647729 "EUCDOM" 648284 T EUCDOM (NIL) -9 NIL 648634 NIL) (-316 644804 645246 645836 "EUCDOM-" 645841 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-315 632343 635102 637852 "ESTOOLS" 642074 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 631975 632032 632141 "ESTOOLS2" 632280 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-313 631726 631768 631848 "ESTOOLS1" 631927 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-312 625763 627371 627399 "ES" 630167 T ES (NIL) -9 NIL 631577 NIL) (-311 620710 621997 623814 "ES-" 623978 NIL ES- (NIL T) -8 NIL NIL NIL) (-310 617084 617845 618625 "ESCONT" 619950 T ESCONT (NIL) -7 NIL NIL NIL) (-309 616829 616861 616943 "ESCONT1" 617046 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-308 616504 616554 616654 "ES2" 616773 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-307 616134 616192 616301 "ES1" 616440 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-306 615350 615479 615655 "ERROR" 615978 T ERROR (NIL) -7 NIL NIL NIL) (-305 608742 615209 615300 "EQTBL" 615305 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-304 601245 604056 605505 "EQ" 607326 NIL -2101 (NIL T) -8 NIL NIL NIL) (-303 600877 600934 601043 "EQ2" 601182 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-302 596168 597215 598308 "EP" 599816 NIL EP (NIL T) -7 NIL NIL NIL) (-301 594768 595059 595365 "ENV" 595882 T ENV (NIL) -8 NIL NIL NIL) (-300 593862 594416 594444 "ENTIRER" 594449 T ENTIRER (NIL) -9 NIL 594495 NIL) (-299 590556 592044 592405 "EMR" 593670 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-298 589686 589871 589925 "ELTAGG" 590305 NIL ELTAGG (NIL T T) -9 NIL 590516 NIL) (-297 589405 589467 589608 "ELTAGG-" 589613 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-296 589169 589198 589252 "ELTAB" 589336 NIL ELTAB (NIL T T) -9 NIL 589388 NIL) (-295 588295 588441 588640 "ELFUTS" 589020 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-294 588037 588093 588121 "ELEMFUN" 588226 T ELEMFUN (NIL) -9 NIL NIL NIL) (-293 587907 587928 587996 "ELEMFUN-" 588001 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-292 582721 585977 586018 "ELAGG" 586958 NIL ELAGG (NIL T) -9 NIL 587421 NIL) (-291 581006 581440 582103 "ELAGG-" 582108 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-290 580318 580455 580611 "ELABOR" 580870 T ELABOR (NIL) -8 NIL NIL NIL) (-289 578979 579258 579552 "ELABEXPR" 580044 T ELABEXPR (NIL) -8 NIL NIL NIL) (-288 571813 573616 574445 "EFUPXS" 578254 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-287 565261 567062 567873 "EFULS" 571088 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-286 562746 563104 563576 "EFSTRUC" 564893 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-285 552537 554103 555651 "EF" 561261 NIL EF (NIL T T) -7 NIL NIL NIL) (-284 551611 552022 552171 "EAB" 552408 T EAB (NIL) -8 NIL NIL NIL) (-283 550793 551570 551598 "E04UCFA" 551603 T E04UCFA (NIL) -8 NIL NIL NIL) (-282 549975 550752 550780 "E04NAFA" 550785 T E04NAFA (NIL) -8 NIL NIL NIL) (-281 549157 549934 549962 "E04MBFA" 549967 T E04MBFA (NIL) -8 NIL NIL NIL) (-280 548339 549116 549144 "E04JAFA" 549149 T E04JAFA (NIL) -8 NIL NIL NIL) (-279 547523 548298 548326 "E04GCFA" 548331 T E04GCFA (NIL) -8 NIL NIL NIL) (-278 546707 547482 547510 "E04FDFA" 547515 T E04FDFA (NIL) -8 NIL NIL NIL) (-277 545889 546666 546694 "E04DGFA" 546699 T E04DGFA (NIL) -8 NIL NIL NIL) (-276 540062 541414 542778 "E04AGNT" 544545 T E04AGNT (NIL) -7 NIL NIL NIL) (-275 538833 539376 539416 "DVARCAT" 539757 NIL DVARCAT (NIL T) -9 NIL 539920 NIL) (-274 538037 538249 538563 "DVARCAT-" 538568 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-273 531085 537836 537965 "DSMP" 537970 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-272 529508 530227 530268 "DSEXT" 530631 NIL DSEXT (NIL T) -9 NIL 530925 NIL) (-271 527793 528221 528887 "DSEXT-" 528892 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-270 522574 523738 524806 "DROPT" 526745 T DROPT (NIL) -8 NIL NIL NIL) (-269 522239 522298 522396 "DROPT1" 522509 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-268 517354 518480 519617 "DROPT0" 521122 T DROPT0 (NIL) -7 NIL NIL NIL) (-267 515699 516024 516410 "DRAWPT" 516988 T DRAWPT (NIL) -7 NIL NIL NIL) (-266 510286 511209 512288 "DRAW" 514673 NIL DRAW (NIL T) -7 NIL NIL NIL) (-265 509919 509972 510090 "DRAWHACK" 510227 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-264 508650 508919 509210 "DRAWCX" 509648 T DRAWCX (NIL) -7 NIL NIL NIL) (-263 508165 508234 508385 "DRAWCURV" 508576 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-262 498633 500595 502710 "DRAWCFUN" 506070 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-261 495397 497326 497367 "DQAGG" 497996 NIL DQAGG (NIL T) -9 NIL 498270 NIL) (-260 483049 489608 489691 "DPOLCAT" 491543 NIL DPOLCAT (NIL T T T T) -9 NIL 492088 NIL) (-259 477886 479234 481192 "DPOLCAT-" 481197 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-258 471468 477747 477845 "DPMO" 477850 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-257 464953 471248 471415 "DPMM" 471420 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-256 464523 464737 464826 "DOMTMPLT" 464884 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-255 463956 464325 464405 "DOMCTOR" 464463 T DOMCTOR (NIL) -8 NIL NIL NIL) (-254 463168 463436 463587 "DOMAIN" 463825 T DOMAIN (NIL) -8 NIL NIL NIL) (-253 457067 462803 462955 "DMP" 463069 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-252 455012 456134 456175 "DMEXT" 456180 NIL DMEXT (NIL T) -9 NIL 456356 NIL) (-251 454612 454668 454812 "DLP" 454950 NIL DLP (NIL T) -7 NIL NIL NIL) (-250 448434 453939 454129 "DLIST" 454454 NIL DLIST (NIL T) -8 NIL NIL NIL) (-249 445231 447287 447328 "DLAGG" 447878 NIL DLAGG (NIL T) -9 NIL 448108 NIL) (-248 443907 444571 444599 "DIVRING" 444691 T DIVRING (NIL) -9 NIL 444774 NIL) (-247 443144 443334 443634 "DIVRING-" 443639 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-246 441246 441603 442009 "DISPLAY" 442758 T DISPLAY (NIL) -7 NIL NIL NIL) (-245 435341 441160 441223 "DIRPROD" 441228 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-244 434189 434392 434657 "DIRPROD2" 435134 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-243 423173 428975 429028 "DIRPCAT" 429286 NIL DIRPCAT (NIL NIL T) -9 NIL 430161 NIL) (-242 420277 420981 421942 "DIRPCAT-" 422279 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-241 419564 419724 419910 "DIOSP" 420111 T DIOSP (NIL) -7 NIL NIL NIL) (-240 416219 418476 418517 "DIOPS" 418951 NIL DIOPS (NIL T) -9 NIL 419180 NIL) (-239 415768 415882 416073 "DIOPS-" 416078 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-238 414819 415447 415475 "DIFRING" 415480 T DIFRING (NIL) -9 NIL 415502 NIL) (-237 414491 414565 414593 "DIFFSPC" 414712 T DIFFSPC (NIL) -9 NIL 414787 NIL) (-236 414136 414214 414366 "DIFFSPC-" 414371 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-235 413192 413670 413711 "DIFFMOD" 413716 NIL DIFFMOD (NIL T) -9 NIL 413814 NIL) (-234 412900 412945 412986 "DIFFDOM" 413107 NIL DIFFDOM (NIL T) -9 NIL 413175 NIL) (-233 412753 412777 412861 "DIFFDOM-" 412866 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-232 410685 411957 411998 "DIFEXT" 412003 NIL DIFEXT (NIL T) -9 NIL 412156 NIL) (-231 407960 410217 410258 "DIAGG" 410263 NIL DIAGG (NIL T) -9 NIL 410283 NIL) (-230 407344 407501 407753 "DIAGG-" 407758 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-229 402761 406303 406580 "DHMATRIX" 407113 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-228 398373 399282 400292 "DFSFUN" 401771 T DFSFUN (NIL) -7 NIL NIL NIL) (-227 393453 397304 397616 "DFLOAT" 398081 T DFLOAT (NIL) -8 NIL NIL NIL) (-226 391716 391997 392386 "DFINTTLS" 393161 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-225 388745 389737 390137 "DERHAM" 391382 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-224 386546 388520 388609 "DEQUEUE" 388689 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-223 385800 385933 386116 "DEGRED" 386408 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-222 382230 382975 383821 "DEFINTRF" 385028 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-221 379785 380254 380846 "DEFINTEF" 381749 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-220 379135 379405 379520 "DEFAST" 379690 T DEFAST (NIL) -8 NIL NIL NIL) (-219 373044 378728 378878 "DECIMAL" 379005 T DECIMAL (NIL) -8 NIL NIL NIL) (-218 370556 371014 371520 "DDFACT" 372588 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-217 370152 370195 370346 "DBLRESP" 370507 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-216 368020 368382 368743 "DBASE" 369918 NIL DBASE (NIL T) -8 NIL NIL NIL) (-215 367262 367500 367646 "DATAARY" 367919 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-214 366368 367221 367249 "D03FAFA" 367254 T D03FAFA (NIL) -8 NIL NIL NIL) (-213 365475 366327 366355 "D03EEFA" 366360 T D03EEFA (NIL) -8 NIL NIL NIL) (-212 363425 363891 364380 "D03AGNT" 365006 T D03AGNT (NIL) -7 NIL NIL NIL) (-211 362714 363384 363412 "D02EJFA" 363417 T D02EJFA (NIL) -8 NIL NIL NIL) (-210 362003 362673 362701 "D02CJFA" 362706 T D02CJFA (NIL) -8 NIL NIL NIL) (-209 361292 361962 361990 "D02BHFA" 361995 T D02BHFA (NIL) -8 NIL NIL NIL) (-208 360581 361251 361279 "D02BBFA" 361284 T D02BBFA (NIL) -8 NIL NIL NIL) (-207 353778 355367 356973 "D02AGNT" 358995 T D02AGNT (NIL) -7 NIL NIL NIL) (-206 351546 352069 352615 "D01WGTS" 353252 T D01WGTS (NIL) -7 NIL NIL NIL) (-205 350613 351505 351533 "D01TRNS" 351538 T D01TRNS (NIL) -8 NIL NIL NIL) (-204 349681 350572 350600 "D01GBFA" 350605 T D01GBFA (NIL) -8 NIL NIL NIL) (-203 348749 349640 349668 "D01FCFA" 349673 T D01FCFA (NIL) -8 NIL NIL NIL) (-202 347817 348708 348736 "D01ASFA" 348741 T D01ASFA (NIL) -8 NIL NIL NIL) (-201 346885 347776 347804 "D01AQFA" 347809 T D01AQFA (NIL) -8 NIL NIL NIL) (-200 345953 346844 346872 "D01APFA" 346877 T D01APFA (NIL) -8 NIL NIL NIL) (-199 345021 345912 345940 "D01ANFA" 345945 T D01ANFA (NIL) -8 NIL NIL NIL) (-198 344089 344980 345008 "D01AMFA" 345013 T D01AMFA (NIL) -8 NIL NIL NIL) (-197 343157 344048 344076 "D01ALFA" 344081 T D01ALFA (NIL) -8 NIL NIL NIL) (-196 342225 343116 343144 "D01AKFA" 343149 T D01AKFA (NIL) -8 NIL NIL NIL) (-195 341293 342184 342212 "D01AJFA" 342217 T D01AJFA (NIL) -8 NIL NIL NIL) (-194 334588 336141 337702 "D01AGNT" 339752 T D01AGNT (NIL) -7 NIL NIL NIL) (-193 333925 334053 334205 "CYCLOTOM" 334456 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-192 330658 331373 332100 "CYCLES" 333218 T CYCLES (NIL) -7 NIL NIL NIL) (-191 329970 330104 330275 "CVMP" 330519 NIL CVMP (NIL T) -7 NIL NIL NIL) (-190 327811 328069 328438 "CTRIGMNP" 329698 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-189 327247 327605 327678 "CTOR" 327758 T CTOR (NIL) -8 NIL NIL NIL) (-188 326756 326978 327079 "CTORKIND" 327166 T CTORKIND (NIL) -8 NIL NIL NIL) (-187 326047 326363 326391 "CTORCAT" 326573 T CTORCAT (NIL) -9 NIL 326686 NIL) (-186 325645 325756 325915 "CTORCAT-" 325920 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-185 325107 325319 325427 "CTORCALL" 325569 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-184 324481 324580 324733 "CSTTOOLS" 325004 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-183 320280 320937 321695 "CRFP" 323793 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-182 319755 320001 320093 "CRCEAST" 320208 T CRCEAST (NIL) -8 NIL NIL NIL) (-181 318802 318987 319215 "CRAPACK" 319559 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-180 318186 318287 318491 "CPMATCH" 318678 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-179 317911 317939 318045 "CPIMA" 318152 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-178 314259 314931 315650 "COORDSYS" 317246 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-177 313671 313792 313934 "CONTOUR" 314137 T CONTOUR (NIL) -8 NIL NIL NIL) (-176 309562 311674 312166 "CONTFRAC" 313211 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-175 309442 309463 309491 "CONDUIT" 309528 T CONDUIT (NIL) -9 NIL NIL NIL) (-174 308530 309084 309112 "COMRING" 309117 T COMRING (NIL) -9 NIL 309169 NIL) (-173 307584 307888 308072 "COMPPROP" 308366 T COMPPROP (NIL) -8 NIL NIL NIL) (-172 307245 307280 307408 "COMPLPAT" 307543 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-171 296735 307054 307163 "COMPLEX" 307168 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 296371 296428 296535 "COMPLEX2" 296672 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-169 295710 295831 295991 "COMPILER" 296231 T COMPILER (NIL) -8 NIL NIL NIL) (-168 295428 295463 295561 "COMPFACT" 295669 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-167 277894 289132 289172 "COMPCAT" 290176 NIL COMPCAT (NIL T) -9 NIL 291524 NIL) (-166 267184 270173 273880 "COMPCAT-" 274236 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-165 266913 266941 267044 "COMMUPC" 267150 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-164 266707 266741 266800 "COMMONOP" 266874 T COMMONOP (NIL) -7 NIL NIL NIL) (-163 266263 266458 266545 "COMM" 266640 T COMM (NIL) -8 NIL NIL NIL) (-162 265839 266067 266142 "COMMAAST" 266208 T COMMAAST (NIL) -8 NIL NIL NIL) (-161 265088 265282 265310 "COMBOPC" 265648 T COMBOPC (NIL) -9 NIL 265823 NIL) (-160 263984 264194 264436 "COMBINAT" 264878 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-159 260441 261015 261642 "COMBF" 263406 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-158 259199 259557 259792 "COLOR" 260226 T COLOR (NIL) -8 NIL NIL NIL) (-157 258675 258920 259012 "COLONAST" 259127 T COLONAST (NIL) -8 NIL NIL NIL) (-156 258315 258362 258487 "CMPLXRT" 258622 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-155 257763 258015 258114 "CLLCTAST" 258236 T CLLCTAST (NIL) -8 NIL NIL NIL) (-154 253265 254293 255373 "CLIP" 256703 T CLIP (NIL) -7 NIL NIL NIL) (-153 251606 252366 252606 "CLIF" 253092 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-152 247781 249752 249793 "CLAGG" 250722 NIL CLAGG (NIL T) -9 NIL 251258 NIL) (-151 246203 246660 247243 "CLAGG-" 247248 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-150 245747 245832 245972 "CINTSLPE" 246112 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-149 243248 243719 244267 "CHVAR" 245275 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-148 242422 242976 243004 "CHARZ" 243009 T CHARZ (NIL) -9 NIL 243024 NIL) (-147 242176 242216 242294 "CHARPOL" 242376 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-146 241234 241821 241849 "CHARNZ" 241896 T CHARNZ (NIL) -9 NIL 241952 NIL) (-145 239140 239888 240241 "CHAR" 240901 T CHAR (NIL) -8 NIL NIL NIL) (-144 238866 238927 238955 "CFCAT" 239066 T CFCAT (NIL) -9 NIL NIL NIL) (-143 238107 238218 238401 "CDEN" 238750 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-142 234072 237260 237540 "CCLASS" 237847 T CCLASS (NIL) -8 NIL NIL NIL) (-141 233323 233480 233657 "CATEGORY" 233915 T -10 (NIL) -8 NIL NIL NIL) (-140 232896 233242 233290 "CATCTOR" 233295 T CATCTOR (NIL) -8 NIL NIL NIL) (-139 232347 232599 232697 "CATAST" 232818 T CATAST (NIL) -8 NIL NIL NIL) (-138 231823 232068 232160 "CASEAST" 232275 T CASEAST (NIL) -8 NIL NIL NIL) (-137 226961 227980 228724 "CARTEN" 231135 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 226069 226217 226438 "CARTEN2" 226808 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-135 224385 225219 225476 "CARD" 225832 T CARD (NIL) -8 NIL NIL NIL) (-134 223961 224189 224264 "CAPSLAST" 224330 T CAPSLAST (NIL) -8 NIL NIL NIL) (-133 223465 223673 223701 "CACHSET" 223833 T CACHSET (NIL) -9 NIL 223911 NIL) (-132 222935 223257 223285 "CABMON" 223335 T CABMON (NIL) -9 NIL 223391 NIL) (-131 222408 222639 222749 "BYTEORD" 222845 T BYTEORD (NIL) -8 NIL NIL NIL) (-130 221385 221937 222079 "BYTE" 222242 T BYTE (NIL) -8 NIL NIL 222364) (-129 216735 220890 221062 "BYTEBUF" 221233 T BYTEBUF (NIL) -8 NIL NIL NIL) (-128 214244 216427 216534 "BTREE" 216661 NIL BTREE (NIL T) -8 NIL NIL NIL) (-127 211693 213892 214014 "BTOURN" 214154 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-126 209063 211163 211204 "BTCAT" 211272 NIL BTCAT (NIL T) -9 NIL 211349 NIL) (-125 208730 208810 208959 "BTCAT-" 208964 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-124 204109 207989 208017 "BTAGG" 208131 T BTAGG (NIL) -9 NIL 208241 NIL) (-123 203599 203724 203930 "BTAGG-" 203935 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-122 200594 202877 203092 "BSTREE" 203416 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-121 199732 199858 200042 "BRILL" 200450 NIL BRILL (NIL T) -7 NIL NIL NIL) (-120 196384 198458 198499 "BRAGG" 199148 NIL BRAGG (NIL T) -9 NIL 199406 NIL) (-119 194913 195319 195874 "BRAGG-" 195879 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-118 188037 194257 194442 "BPADICRT" 194760 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-117 186352 187974 188019 "BPADIC" 188024 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-116 186050 186080 186194 "BOUNDZRO" 186316 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-115 181278 182476 183388 "BOP" 185158 T BOP (NIL) -8 NIL NIL NIL) (-114 179059 179463 179938 "BOP1" 180836 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-113 178760 178821 178849 "BOOLE" 178960 T BOOLE (NIL) -9 NIL 179042 NIL) (-112 177585 178334 178483 "BOOLEAN" 178631 T BOOLEAN (NIL) -8 NIL NIL NIL) (-111 176864 177268 177322 "BMODULE" 177327 NIL BMODULE (NIL T T) -9 NIL 177392 NIL) (-110 172665 176662 176735 "BITS" 176811 T BITS (NIL) -8 NIL NIL NIL) (-109 172086 172205 172345 "BINDING" 172545 T BINDING (NIL) -8 NIL NIL NIL) (-108 165998 171681 171830 "BINARY" 171957 T BINARY (NIL) -8 NIL NIL NIL) (-107 163778 165253 165294 "BGAGG" 165554 NIL BGAGG (NIL T) -9 NIL 165691 NIL) (-106 163609 163641 163732 "BGAGG-" 163737 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 162680 162993 163198 "BFUNCT" 163424 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 161370 161548 161836 "BEZOUT" 162504 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 157839 160222 160552 "BBTREE" 161073 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 157573 157626 157654 "BASTYPE" 157773 T BASTYPE (NIL) -9 NIL NIL NIL) (-101 157425 157454 157527 "BASTYPE-" 157532 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 156859 156935 157087 "BALFACT" 157336 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 155715 156274 156460 "AUTOMOR" 156704 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 155441 155446 155472 "ATTREG" 155477 T ATTREG (NIL) -9 NIL NIL NIL) (-97 153693 154138 154490 "ATTRBUT" 155107 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 153301 153521 153587 "ATTRAST" 153645 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 152837 152950 152976 "ATRIG" 153177 T ATRIG (NIL) -9 NIL NIL NIL) (-94 152646 152687 152774 "ATRIG-" 152779 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 152291 152477 152503 "ASTCAT" 152508 T ASTCAT (NIL) -9 NIL 152538 NIL) (-92 152018 152077 152196 "ASTCAT-" 152201 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 150167 151794 151882 "ASTACK" 151961 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 148672 148969 149334 "ASSOCEQ" 149849 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 147704 148331 148455 "ASP9" 148579 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 147467 147652 147691 "ASP8" 147696 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-87 146335 147072 147214 "ASP80" 147356 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-86 145233 145970 146102 "ASP7" 146234 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-85 144187 144910 145028 "ASP78" 145146 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-84 143156 143867 143984 "ASP77" 144101 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-83 142068 142794 142925 "ASP74" 143056 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-82 140968 141703 141835 "ASP73" 141967 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-81 140072 140794 140894 "ASP6" 140899 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 139019 139749 139867 "ASP55" 139985 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 137968 138693 138812 "ASP50" 138931 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 137056 137669 137779 "ASP4" 137889 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-77 136144 136757 136867 "ASP49" 136977 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-76 134928 135683 135851 "ASP42" 136033 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 133705 134461 134631 "ASP41" 134815 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-74 132655 133382 133500 "ASP35" 133618 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 132420 132603 132642 "ASP34" 132647 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 132157 132224 132300 "ASP33" 132375 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 131051 131792 131924 "ASP31" 132056 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 130816 130999 131038 "ASP30" 131043 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 130551 130620 130696 "ASP29" 130771 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 130316 130499 130538 "ASP28" 130543 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 130081 130264 130303 "ASP27" 130308 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 129165 129779 129890 "ASP24" 130001 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 128242 128967 129079 "ASP20" 129084 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 127330 127943 128053 "ASP1" 128163 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-63 126273 127004 127123 "ASP19" 127242 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-62 126010 126077 126153 "ASP12" 126228 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-61 124862 125609 125753 "ASP10" 125897 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-60 122713 124706 124797 "ARRAY2" 124802 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 118478 122361 122475 "ARRAY1" 122630 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-58 117510 117683 117904 "ARRAY12" 118301 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-57 111822 113740 113815 "ARR2CAT" 116445 NIL ARR2CAT (NIL T T T) -9 NIL 117203 NIL) (-56 109256 110000 110954 "ARR2CAT-" 110959 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 108573 108883 109008 "ARITY" 109149 T ARITY (NIL) -8 NIL NIL NIL) (-54 107349 107501 107800 "APPRULE" 108409 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 107000 107048 107167 "APPLYORE" 107295 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 106354 106593 106713 "ANY" 106898 T ANY (NIL) -8 NIL NIL NIL) (-51 105632 105755 105912 "ANY1" 106228 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-50 103162 104069 104396 "ANTISYM" 105356 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 102654 102869 102965 "ANON" 103084 T ANON (NIL) -8 NIL NIL NIL) (-48 96832 101193 101647 "AN" 102218 T AN (NIL) -8 NIL NIL NIL) (-47 92730 94118 94169 "AMR" 94917 NIL AMR (NIL T T) -9 NIL 95517 NIL) (-46 91842 92063 92426 "AMR-" 92431 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 76281 91759 91820 "ALIST" 91825 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 73086 75875 76044 "ALGSC" 76199 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 69642 70196 70803 "ALGPKG" 72526 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 68919 69020 69204 "ALGMFACT" 69528 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 64954 65533 66127 "ALGMANIP" 68503 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 55373 64580 64730 "ALGFF" 64887 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 54569 54700 54879 "ALGFACT" 55231 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 53510 54110 54148 "ALGEBRA" 54153 NIL ALGEBRA (NIL T) -9 NIL 54194 NIL) (-37 53228 53287 53419 "ALGEBRA-" 53424 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 35291 51200 51252 "ALAGG" 51388 NIL ALAGG (NIL T T) -9 NIL 51549 NIL) (-35 34827 34940 34966 "AHYP" 35167 T AHYP (NIL) -9 NIL NIL NIL) (-34 33758 34006 34032 "AGG" 34531 T AGG (NIL) -9 NIL 34810 NIL) (-33 33192 33354 33568 "AGG-" 33573 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 30998 31421 31826 "AF" 32834 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 30478 30723 30813 "ADDAST" 30926 T ADDAST (NIL) -8 NIL NIL NIL) (-30 29746 30005 30161 "ACPLOT" 30340 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 18670 26678 26716 "ACFS" 27323 NIL ACFS (NIL T) -9 NIL 27562 NIL) (-28 16697 17187 17949 "ACFS-" 17954 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 12815 14744 14770 "ACF" 15649 T ACF (NIL) -9 NIL 16062 NIL) (-26 11519 11853 12346 "ACF-" 12351 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 11091 11286 11312 "ABELSG" 11404 T ABELSG (NIL) -9 NIL 11469 NIL) (-24 10958 10983 11049 "ABELSG-" 11054 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 10301 10588 10614 "ABELMON" 10784 T ABELMON (NIL) -9 NIL 10896 NIL) (-22 9965 10049 10187 "ABELMON-" 10192 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 9313 9685 9711 "ABELGRP" 9783 T ABELGRP (NIL) -9 NIL 9858 NIL) (-20 8776 8905 9121 "ABELGRP-" 9126 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4333 8085 8124 "A1AGG" 8129 NIL A1AGG (NIL T) -9 NIL 8169 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 1f2f3f68..25b19eb0 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,868 +1,58 @@ -(731328 . 3485863923) -(((*1 *1 *2) - (-12 (-5 *2 (-656 (-922 *3))) (-4 *3 (-1119)) (-5 *1 (-921 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-576)) (-5 *1 (-573))))) -(((*1 *1 *1 *1) (-5 *1 (-874)))) -(((*1 *2 *1) (-12 (-5 *2 (-1292)) (-5 *1 (-834))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-1090 *4 *5 *6 *3)) (-4 *4 (-464)) (-4 *5 (-805)) - (-4 *6 (-862)) (-4 *3 (-1084 *4 *5 *6)) (-5 *2 (-112))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-1192 *1)) (-5 *3 (-1196)) (-4 *1 (-27)))) - ((*1 *1 *2) (-12 (-5 *2 (-1192 *1)) (-4 *1 (-27)))) - ((*1 *1 *2) (-12 (-5 *2 (-969 *1)) (-4 *1 (-27)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-1196)) (-4 *1 (-29 *3)) (-4 *3 (-568)))) - ((*1 *1 *1) (-12 (-4 *1 (-29 *2)) (-4 *2 (-568))))) -(((*1 *2 *1) (-12 (-4 *1 (-47 *3 *2)) (-4 *3 (-1068)) (-4 *2 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(-12 (-5 *2 (-1287 (-711))) (-4 *1 (-452)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1200)) (|:| -2556 (-656 (-340))))) + (-5 *2 (-2 (|:| |localSymbols| (-1200)) (|:| -2074 (-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)))) @@ -8251,7 +8058,7 @@ (-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 (|:| -1788 *3) (|:| -3667 *4)))) + (-12 (-5 *2 (-656 (-2 (|:| -1882 *3) (|:| -3809 *4)))) (-4 *3 (-1068)) (-4 *4 (-738)) (-5 *1 (-747 *3 *4)))) ((*1 *1 *2) (-12 (-5 *2 (-576)) (-4 *1 (-775)))) ((*1 *1 *2) @@ -8260,25 +8067,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1196)) (|:| |fn| (-326 (-227))) - (|:| -3672 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -4012 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (|:| |mdnia| (-2 (|:| |fn| (-326 (-227))) - (|:| -3672 (-656 (-1113 (-855 (-227))))) + (|:| -4012 (-656 (-1113 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))))) (-5 *1 (-781)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-227))) - (|:| -3672 (-656 (-1113 (-855 (-227))))) (|:| |abserr| (-227)) + (|:| -4012 (-656 (-1113 (-855 (-227))))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *1 (-781)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1196)) (|:| |fn| (-326 (-227))) - (|:| -3672 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) + (|:| -4012 (-1113 (-855 (-227)))) (|:| |abserr| (-227)) (|:| |relerr| (-227)))) (-5 *1 (-781)))) ((*1 *2 *3) (-12 (-5 *2 (-786)) (-5 *1 (-785 *3)) (-4 *3 (-1237)))) @@ -8296,23 +8103,23 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-326 (-227))) (|:| -3448 (-656 (-227))) + (-2 (|:| |fn| (-326 (-227))) (|:| -3794 (-656 (-227))) (|:| |lb| (-656 (-855 (-227)))) (|:| |cf| (-656 (-326 (-227)))) (|:| |ub| (-656 (-855 (-227)))))) (|:| |lsa| (-2 (|:| |lfn| (-656 (-326 (-227)))) - (|:| -3448 (-656 (-227))))))) + (|:| -3794 (-656 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(-5 *2 (-703 (-885 (-983 *3) (-983 *3)))) (-5 *1 (-983 *3)) + (-4 *3 (-1119))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1230 *3 *4 *5 *6)) (-4 *3 (-568)) (-4 *4 (-805)) + (-4 *5 (-862)) (-4 *6 (-1084 *3 *4 *5)) (-4 *5 (-379)) + (-5 *2 (-783))))) (((*1 *2 *3 *4) (-12 (-5 *3 (-701 *8)) (-4 *8 (-966 *5 *7 *6)) (-4 *5 (-13 (-317) (-148))) (-4 *6 (-13 (-862) (-626 (-1196)))) @@ -9846,7 +11032,7 @@ (|:| |wcond| (-656 (-969 *5))) (|:| |bsoln| (-2 (|:| |partsol| (-1287 (-419 (-969 *5)))) - (|:| -4261 (-656 (-1287 (-419 (-969 *5)))))))))) + (|:| -3276 (-656 (-1287 (-419 (-969 *5)))))))))) (-5 *1 (-941 *5 *6 *7 *8)) (-5 *4 (-656 *8)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-701 *8)) (-5 *4 (-656 (-1196))) (-4 *8 (-966 *5 *7 *6)) @@ -9858,7 +11044,7 @@ (|:| |wcond| (-656 (-969 *5))) (|:| |bsoln| (-2 (|:| |partsol| (-1287 (-419 (-969 *5)))) - (|:| -4261 (-656 (-1287 (-419 (-969 *5)))))))))) + (|:| -3276 (-656 (-1287 (-419 (-969 *5)))))))))) (-5 *1 (-941 *5 *6 *7 *8)))) ((*1 *2 *3) (-12 (-5 *3 (-701 *7)) (-4 *7 (-966 *4 *6 *5)) @@ -9870,7 +11056,7 @@ (|:| |wcond| (-656 (-969 *4))) (|:| |bsoln| (-2 (|:| |partsol| (-1287 (-419 (-969 *4)))) - (|:| -4261 (-656 (-1287 (-419 (-969 *4)))))))))) + (|:| -3276 (-656 (-1287 (-419 (-969 *4)))))))))) (-5 *1 (-941 *4 *5 *6 *7)))) ((*1 *2 *3 *4 *5) (-12 (-5 *3 (-701 *9)) (-5 *5 (-938)) (-4 *9 (-966 *6 *8 *7)) @@ -9882,7 +11068,7 @@ (|:| |wcond| (-656 (-969 *6))) (|:| |bsoln| (-2 (|:| |partsol| (-1287 (-419 (-969 *6)))) - (|:| -4261 (-656 (-1287 (-419 (-969 *6)))))))))) + (|:| -3276 (-656 (-1287 (-419 (-969 *6)))))))))) (-5 *1 (-941 *6 *7 *8 *9)) (-5 *4 (-656 *9)))) ((*1 *2 *3 *4 *5) (-12 (-5 *3 (-701 *9)) (-5 *4 (-656 (-1196))) (-5 *5 (-938)) @@ -9894,7 +11080,7 @@ (|:| |wcond| (-656 (-969 *6))) (|:| |bsoln| (-2 (|:| |partsol| (-1287 (-419 (-969 *6)))) - (|:| -4261 (-656 (-1287 (-419 (-969 *6)))))))))) + (|:| -3276 (-656 (-1287 (-419 (-969 *6)))))))))) (-5 *1 (-941 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-701 *8)) (-5 *4 (-938)) (-4 *8 (-966 *5 *7 *6)) @@ -9906,7 +11092,7 @@ (|:| |wcond| (-656 (-969 *5))) (|:| |bsoln| (-2 (|:| |partsol| (-1287 (-419 (-969 *5)))) - (|:| -4261 (-656 (-1287 (-419 (-969 *5)))))))))) + (|:| -3276 (-656 (-1287 (-419 (-969 *5)))))))))) (-5 *1 (-941 *5 *6 *7 *8)))) ((*1 *2 *3 *4 *5) (-12 (-5 *3 (-701 *9)) (-5 *4 (-656 *9)) (-5 *5 (-1178)) @@ -9938,3253 +11124,1223 @@ (-4 *7 (-13 (-862) (-626 (-1196)))) (-4 *8 (-805)) (-5 *2 (-576)) (-5 *1 (-941 *6 *7 *8 *9))))) (((*1 *2 *3) - (|partial| -12 - (-5 *3 - (-2 (|:| |var| (-1196)) (|:| |fn| (-326 (-227))) - (|:| -3672 (-1113 (-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"))) - 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