diff options
| author | dos-reis <gdr@axiomatics.org> | 2011-03-22 05:43:32 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2011-03-22 05:43:32 +0000 |
| commit | 41a15b30f26b7a2ca2077f7996a3cf552bf5630a (patch) | |
| tree | 6a4ea472928d290faa82d6081df9286507eab6d0 /src | |
| parent | 7dc19cbfb3fef1f70794d2baaebd183d21b7d6b0 (diff) | |
| download | open-axiom-41a15b30f26b7a2ca2077f7996a3cf552bf5630a.tar.gz | |
* algebra/op.spad.pamphlet (BasicOperator) [display]: Now return a
Maybe (List O -> O) value.
[input]: Now return a Maybe(List SEX -> SEX).
* algebra/kl.spad.pamphlet (Kernel): Adjust.
* algebra/pattern.spad.pamphlet (Pattern): Likewise.
Diffstat (limited to 'src')
| -rw-r--r-- | src/ChangeLog | 8 | ||||
| -rw-r--r-- | src/algebra/kl.spad.pamphlet | 4 | ||||
| -rw-r--r-- | src/algebra/op.spad.pamphlet | 14 | ||||
| -rw-r--r-- | src/algebra/pattern.spad.pamphlet | 2 | ||||
| -rw-r--r-- | src/share/algebra/browse.daase | 538 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 1372 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1348 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 7916 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 25725 |
9 files changed, 18465 insertions, 18462 deletions
diff --git a/src/ChangeLog b/src/ChangeLog index 102bcb13..599ca51a 100644 --- a/src/ChangeLog +++ b/src/ChangeLog @@ -1,3 +1,11 @@ +2011-03-22 Gabriel Dos Reis <gdr@cs.tamu.edu> + + * algebra/op.spad.pamphlet (BasicOperator) [display]: Now return a + Maybe (List O -> O) value. + [input]: Now return a Maybe(List SEX -> SEX). + * algebra/kl.spad.pamphlet (Kernel): Adjust. + * algebra/pattern.spad.pamphlet (Pattern): Likewise. + 2011-03-20 Gabriel Dos Reis <gdr@cs.tamu.edu> * interp/g-opt.boot ($VMsideEffectFreeOperators): Include diff --git a/src/algebra/kl.spad.pamphlet b/src/algebra/kl.spad.pamphlet index 18aa41f0..9840b033 100644 --- a/src/algebra/kl.spad.pamphlet +++ b/src/algebra/kl.spad.pamphlet @@ -204,7 +204,7 @@ Kernel(S: SetCategory): Exports == Implementation where (f := property(o := operator k, SPECIALDISP)) case None => ((f@None) pretend (List S -> OutputForm)) (argument k) l := [x::OutputForm for x in argument k]$List(OutputForm) - (u := display o) case "failed" => prefix(name(o)::OutputForm, l) + (u := display o) case nothing => prefix(name(o)::OutputForm, l) (u::(List OutputForm -> OutputForm)) l triage(k1, k2) == @@ -223,7 +223,7 @@ Kernel(S: SetCategory): Exports == Implementation where (f := property(o := operator k, SPECIALINPUT)) case None => ((f@None) pretend (List S -> InputForm)) (argument k) l := [convert x for x in argument k]$List(InputForm) - (u := input operator k) case "failed" => + (u := input operator k) case nothing => convert concat(convert name operator k, l) (u::(List InputForm -> InputForm)) l diff --git a/src/algebra/op.spad.pamphlet b/src/algebra/op.spad.pamphlet index cb2b1731..61bb3de6 100644 --- a/src/algebra/op.spad.pamphlet +++ b/src/algebra/op.spad.pamphlet @@ -59,9 +59,9 @@ BasicOperator(): Exports == Implementation where ++ to op. If op1 and op2 have the same name, and one of them ++ has a "%less?" property f, then \spad{f(op1, op2)} is called to ++ decide whether \spad{op1 < op2}. - display : $ -> Union(List O -> O, "failed") + display : $ -> Maybe(List O -> O) ++ display(op) returns the "%display" property of op if - ++ it has one attached, and "failed" otherwise. + ++ it has one attached, and \spad{nothing} otherwise. display : ($, List O -> O) -> $ ++ display(op, foo) attaches foo as the "%display" property ++ of op. If op has a "%display" property f, then \spad{op(a1,...,an)} @@ -75,9 +75,9 @@ BasicOperator(): Exports == Implementation where ++ input(op, foo) attaches foo as the "%input" property ++ of op. If op has a "%input" property f, then \spad{op(a1,...,an)} ++ gets converted to InputForm as \spad{f(a1,...,an)}. - input : $ -> Union(List SEX -> SEX, "failed") + input : $ -> Maybe(List SEX -> SEX) ++ input(op) returns the "%input" property of op if - ++ it has one attached, "failed" otherwise. + ++ it has one attached, \spad{nothing} otherwise. has? : (%, Identifier) -> Boolean ++ \spad{has?(op,p)} tests if property \spad{s} is attached to \spad{op}. assert : (%, Identifier) -> $ @@ -157,12 +157,10 @@ BasicOperator(): Exports == Implementation where display(op:$, f:List O -> O) == setProperty(op, DISPLAY, f pretend None) display op == - (u := property(op, DISPLAY)) case nothing => "failed" - (u@None) pretend (List O -> O) + property(op, DISPLAY) pretend Maybe(List O -> O) input op == - (u := property(op, SEXPR)) case nothing => "failed" - (u@None) pretend (List SEX -> SEX) + property(op, SEXPR) pretend Maybe(List SEX -> SEX) arity op == rep(op).narg diff --git a/src/algebra/pattern.spad.pamphlet b/src/algebra/pattern.spad.pamphlet index c5a667e6..f3368758 100644 --- a/src/algebra/pattern.spad.pamphlet +++ b/src/algebra/pattern.spad.pamphlet @@ -343,7 +343,7 @@ Pattern(R:SetCategory): Exports == Implementation where p.ker.tag = PAT_ZERO => 0::Integer::O p.ker.tag = PAT_ONE => 1::Integer::O l := [x::O for x in p.ker.arg]$List(O) - (u:=display(p.ker.op)) case "failed" =>prefix(name(p.ker.op)::O,l) + (u:=display(p.ker.op)) case nothing =>prefix(name(p.ker.op)::O,l) (u::(List O -> O)) l patcopy p == diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 1e37614b..c659a70b 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,5 +1,5 @@ -(2294563 . 3509634648) +(2294555 . 3509748551) (-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 `d'.")) (|base| (((|SpadAst|) $) "\\spad{base(d)} returns the base domain(\\spad{s}) of the add-domain expression."))) NIL NIL -(-32 R -3969) +(-32 R -3968) ((|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 -1070) (QUOTE (-560))))) @@ -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 \\spad{a1},{}...,{}an."))) NIL NIL -(-40 -3969 UP UPUP -4285) +(-40 -3968 UP UPUP -1871) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4503 |has| (-421 |#2|) (-376)) (-4508 |has| (-421 |#2|) (-376)) (-4502 |has| (-421 |#2|) (-376)) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-421 |#2|) (QUOTE (-147))) (|HasCategory| (-421 |#2|) (QUOTE (-149))) (|HasCategory| (-421 |#2|) (QUOTE (-363))) (-2171 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2171 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2171 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2171 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-363))))) (-2171 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -660) (QUOTE (-560)))) (-2171 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) -(-41 R -3969) +((|HasCategory| (-421 |#2|) (QUOTE (-147))) (|HasCategory| (-421 |#2|) (QUOTE (-149))) (|HasCategory| (-421 |#2|) (QUOTE (-363))) (-2172 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2172 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2172 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2172 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-363))))) (-2172 (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -660) (QUOTE (-560)))) (-2172 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 |#2|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-239))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (-12 (|HasCategory| (-421 |#2|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))))) +(-41 R -3968) ((|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}'s which are algebraic from the denominators in \\spad{f}.") ((|#2| |#2| (|List| |#2|)) "\\spad{ratDenom(f, [a1,...,an])} removes the \\spad{ai}'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 (-466))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -435) (|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."))) ((-4510 . T) (-4511 . T)) -((-2171 (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|))))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|))))))) +((-2172 (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|))))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|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| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -144,7 +144,7 @@ NIL ((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}."))) NIL NIL -(-54 |Base| R -3969) +(-54 |Base| R -3968) ((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}rn to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}rn to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}rn is applicable to the expression."))) NIL NIL @@ -163,7 +163,7 @@ NIL (-58 S) ((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|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}"))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-59 A B) ((|constructor| (NIL "\\indented{1}{This package provides tools for operating on one-dimensional arrays} with unary and binary functions involving different underlying types")) (|map| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1|) (|OneDimensionalArray| |#1|)) "\\spad{map(f,a)} applies function \\spad{f} to each member of one-dimensional array \\spad{a} resulting in a new one-dimensional array over a possibly different underlying domain.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the one-dimensional array \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|scan| (((|OneDimensionalArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|OneDimensionalArray| |#1|) |#2|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-arrays \\spad{x} of one-dimensional array \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad{[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}."))) NIL @@ -171,7 +171,7 @@ NIL (-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's."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-61 -3866) ((|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 @@ -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}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-92 S) ((|constructor| (NIL "This is the category of Spad abstract syntax trees."))) NIL @@ -343,7 +343,7 @@ NIL (-103 S) ((|constructor| (NIL "\\spadtype{BalancedBinaryTree(S)} is the domain of balanced binary trees (bbtree). A balanced binary tree of \\spad{2**k} leaves,{} for some \\spad{k > 0},{} is symmetric,{} that is,{} the left and right subtree of each interior node have identical shape. In general,{} the left and right subtree of a given node can differ by at most leaf node.")) (|mapDown!| (($ $ |#1| (|Mapping| (|List| |#1|) |#1| |#1| |#1|)) "\\spad{mapDown!(t,p,f)} returns \\spad{t} after traversing \\spad{t} in \"preorder\" (node then left then right) fashion replacing the successive interior nodes as follows. Let \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t}. The root value \\spad{x} of \\spad{t} is replaced by \\spad{p}. Then \\spad{f}(value \\spad{l},{} value \\spad{r},{} \\spad{p}),{} where \\spad{l} and \\spad{r} denote the left and right subtrees of \\spad{t},{} is evaluated producing two values pl and 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{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 ls.")) (|balancedBinaryTree| (($ (|NonNegativeInteger|) |#1|) "\\spad{balancedBinaryTree(n, s)} creates a balanced binary tree with \\spad{n} nodes each with value \\spad{s}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-104 R UP M |Row| |Col|) ((|constructor| (NIL "\\spadtype{BezoutMatrix} contains functions for computing resultants and discriminants using Bezout matrices.")) (|bezoutDiscriminant| ((|#1| |#2|) "\\spad{bezoutDiscriminant(p)} computes the discriminant of a polynomial \\spad{p} by computing the determinant of a Bezout matrix.")) (|bezoutResultant| ((|#1| |#2| |#2|) "\\spad{bezoutResultant(p,q)} computes the resultant of the two polynomials \\spad{p} and \\spad{q} by computing the determinant of a Bezout matrix.")) (|bezoutMatrix| ((|#3| |#2| |#2|) "\\spad{bezoutMatrix(p,q)} returns the Bezout matrix for the two polynomials \\spad{p} and \\spad{q}.")) (|sylvesterMatrix| ((|#3| |#2| |#2|) "\\spad{sylvesterMatrix(p,q)} returns the Sylvester matrix for the two polynomials \\spad{p} and \\spad{q}."))) NIL @@ -363,7 +363,7 @@ NIL (-108) ((|constructor| (NIL "This domain allows rational numbers to be presented as repeating binary expansions.")) (|binary| (($ (|Fraction| (|Integer|))) "\\spad{binary(r)} converts a rational number to a binary expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(b)} returns the fractional part of a binary expansion."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2171 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2172 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) (-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 `n' and property list `props'.")) (|properties| (((|List| (|Property|)) $) "\\spad{properties(b)} returns the properties associated with binding \\spad{b}.")) (|name| (((|Identifier|) $) "\\spad{name(b)} returns the name of binding \\spad{b}"))) NIL @@ -389,14 +389,14 @@ NIL NIL NIL (-115) -((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|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|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If \\spad{op1} and \\spad{op2} have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If \\spad{op1} and \\spad{op2} have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1} and \\spad{op2} should be considered equal.")) (|weight| (($ $ (|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|)) $) "\\spad{properties(op)} returns the list of all the properties currently attached to \\spad{op}."))) +((|constructor| (NIL "A basic operator is an object that can be applied to a list of arguments from a set,{} the result being a kernel over that set.")) (|setProperties| (($ $ (|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| (((|Maybe| (|Mapping| (|InputForm|) (|List| (|InputForm|)))) $) "\\spad{input(op)} returns the \"\\%input\" property of \\spad{op} if it has one attached,{} \\spad{nothing} otherwise.") (($ $ (|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)}.") (((|Maybe| (|Mapping| (|OutputForm|) (|List| (|OutputForm|)))) $) "\\spad{display(op)} returns the \"\\%display\" property of \\spad{op} if it has one attached,{} and \\spad{nothing} otherwise.")) (|comparison| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{comparison(op, foo?)} attaches foo? as the \"\\%less?\" property to \\spad{op}. If \\spad{op1} and \\spad{op2} have the same name,{} and one of them has a \"\\%less?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1 < op2}.")) (|equality| (($ $ (|Mapping| (|Boolean|) $ $)) "\\spad{equality(op, foo?)} attaches foo? as the \"\\%equal?\" property to \\spad{op}. If \\spad{op1} and \\spad{op2} have the same name,{} and one of them has an \"\\%equal?\" property \\spad{f},{} then \\spad{f(op1, op2)} is called to decide whether \\spad{op1} and \\spad{op2} should be considered equal.")) (|weight| (($ $ (|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 A) ((|constructor| (NIL "This package exports functions to set some commonly used properties of operators,{} including properties which contain functions.")) (|constantOpIfCan| (((|Union| |#1| "failed") (|BasicOperator|)) "\\spad{constantOpIfCan(op)} returns \\spad{a} if \\spad{op} is the constant nullary operator always returning \\spad{a},{} \"failed\" otherwise.")) (|constantOperator| (((|BasicOperator|) |#1|) "\\spad{constantOperator(a)} returns a nullary operator op such that \\spad{op()} always evaluate to \\spad{a}.")) (|derivative| (((|Union| (|List| (|Mapping| |#1| (|List| |#1|))) "failed") (|BasicOperator|)) "\\spad{derivative(op)} returns the value of the \"\\%diff\" property of \\spad{op} if it has one,{} and \"failed\" otherwise.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| |#1|)) "\\spad{derivative(op, foo)} attaches foo as the \"\\%diff\" property of \\spad{op}. If \\spad{op} has an \"\\%diff\" property \\spad{f},{} then applying a derivation \\spad{D} to \\spad{op}(a) returns \\spad{f(a) * D(a)}. Argument \\spad{op} must be unary.") (((|BasicOperator|) (|BasicOperator|) (|List| (|Mapping| |#1| (|List| |#1|)))) "\\spad{derivative(op, [foo1,...,foon])} attaches [\\spad{foo1},{}...,{}foon] as the \"\\%diff\" property of \\spad{op}. If \\spad{op} has an \"\\%diff\" property \\spad{[f1,...,fn]} then applying a derivation \\spad{D} to \\spad{op(a1,...,an)} returns \\spad{f1(a1,...,an) * D(a1) + ... + fn(a1,...,an) * D(an)}.")) (|evaluate| (((|Union| (|Mapping| |#1| (|List| |#1|)) "failed") (|BasicOperator|)) "\\spad{evaluate(op)} returns the value of the \"\\%eval\" property of \\spad{op} if it has one,{} and \"failed\" otherwise.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| |#1|)) "\\spad{evaluate(op, foo)} attaches foo as the \"\\%eval\" property of \\spad{op}. If \\spad{op} has an \"\\%eval\" property \\spad{f},{} then applying \\spad{op} to a returns the result of \\spad{f(a)}. Argument \\spad{op} must be unary.") (((|BasicOperator|) (|BasicOperator|) (|Mapping| |#1| (|List| |#1|))) "\\spad{evaluate(op, foo)} attaches foo as the \"\\%eval\" property of \\spad{op}. If \\spad{op} has an \"\\%eval\" property \\spad{f},{} then applying \\spad{op} to \\spad{(a1,...,an)} returns the result of \\spad{f(a1,...,an)}.") (((|Union| |#1| "failed") (|BasicOperator|) (|List| |#1|)) "\\spad{evaluate(op, [a1,...,an])} checks if \\spad{op} has an \"\\%eval\" property \\spad{f}. If it has,{} then \\spad{f(a1,...,an)} is returned,{} and \"failed\" otherwise."))) NIL NIL -(-117 -3969 UP) +(-117 -3968 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 @@ -407,7 +407,7 @@ NIL (-119 |p|) ((|constructor| (NIL "Stream-based implementation of 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}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-118 |#1|) (QUOTE (-940))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-149))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-118 |#1|) (QUOTE (-1052))) (|HasCategory| (-118 |#1|) (QUOTE (-844))) (|HasCategory| (-118 |#1|) (QUOTE (-872))) (-2171 (|HasCategory| (-118 |#1|) (QUOTE (-844))) (|HasCategory| (-118 |#1|) (QUOTE (-872)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-1184))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-239))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-118 |#1|) (QUOTE (-240))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -528) (QUOTE (-1209)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -118) (|devaluate| |#1|)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (QUOTE (-319))) (|HasCategory| (-118 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-940)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))))) +((|HasCategory| (-118 |#1|) (QUOTE (-940))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-149))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-118 |#1|) (QUOTE (-1052))) (|HasCategory| (-118 |#1|) (QUOTE (-844))) (|HasCategory| (-118 |#1|) (QUOTE (-872))) (-2172 (|HasCategory| (-118 |#1|) (QUOTE (-844))) (|HasCategory| (-118 |#1|) (QUOTE (-872)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-1184))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-118 |#1|) (QUOTE (-239))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-118 |#1|) (QUOTE (-240))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -528) (QUOTE (-1209)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -118) (|devaluate| |#1|)) (|%list| (QUOTE -118) (|devaluate| |#1|)))) (|HasCategory| (-118 |#1|) (QUOTE (-319))) (|HasCategory| (-118 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-118 |#1|) (QUOTE (-940)))) (|HasCategory| (-118 |#1|) (QUOTE (-147))))) (-120 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" $) "\\spad{setelt(a,\"right\",b)} (also written \\axiom{\\spad{b} . right := \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,\"left\",b)} (also written \\axiom{a . left := \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "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 @@ -423,7 +423,7 @@ NIL (-123 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"))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-124 S) ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}."))) NIL @@ -443,11 +443,11 @@ NIL (-128 S) ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#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."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-129 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."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-130) ((|constructor| (NIL "Byte is the datatype of 8-bit sized unsigned integer values.")) (|sample| (($) "\\spad{sample} gives a sample datum of type Byte.")) (|bitior| (($ $ $) "bitor(\\spad{x},{}\\spad{y}) returns the bitwise `inclusive or' of `x' and `y'.")) (|bitand| (($ $ $) "\\spad{bitand(x,y)} returns the bitwise `and' of `x' and `y'.")) (|byte| (($ (|NonNegativeInteger|)) "\\spad{byte(x)} injects the unsigned integer value `v' into the Byte algebra. `v' must be non-negative and less than 256."))) NIL @@ -455,7 +455,7 @@ NIL (-131) ((|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 `n'. The array can then store up to `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 `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."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-2171 (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-130) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133)))) (|HasCategory| (-130) (QUOTE (-872))) (-2171 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) +((-2172 (-12 (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-2172 (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-130) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133)))) (|HasCategory| (-130) (QUOTE (-872))) (-2172 (|HasCategory| (-130) (QUOTE (-102))) (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-130) (QUOTE (-102))) (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-132) ((|constructor| (NIL "This datatype describes byte order of machine values stored memory.")) (|unknownEndian| (($) "\\spad{unknownEndian} for none of the above.")) (|bigEndian| (($) "\\spad{bigEndian} describes big endian host")) (|littleEndian| (($) "\\spad{littleEndian} describes little endian host"))) NIL @@ -503,7 +503,7 @@ NIL (-143) ((|constructor| (NIL "This domain allows classes of characters to be defined and manipulated efficiently.")) (|alphanumeric| (($) "\\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}."))) ((-4510 . T) (-4500 . T) (-4511 . T)) -((-2171 (-12 (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) +((-2172 (-12 (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-146) (QUOTE (-381))) (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-144 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}'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}'s.")) (|commonDenominator| ((|#1| |#3|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}qn."))) NIL @@ -528,7 +528,7 @@ NIL ((|constructor| (NIL "Rings of Characteristic Zero."))) ((-4507 . T)) NIL -(-150 -3969 UP UPUP) +(-150 -3968 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 @@ -568,7 +568,7 @@ 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 -(-160 R -3969) +(-160 R -3968) ((|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})/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.} 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.} 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.} n!/(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 @@ -602,7 +602,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-940))) (|HasCategory| |#2| (QUOTE (-559))) (|HasCategory| |#2| (QUOTE (-1034))) (|HasCategory| |#2| (QUOTE (-1235))) (|HasCategory| |#2| (QUOTE (-1092))) (|HasCategory| |#2| (QUOTE (-1052))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4506)) (|HasAttribute| |#2| (QUOTE -4509)) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-571)))) (-168 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})"))) -((-4503 -2171 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-940)))) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4506 |has| |#1| (-6 -4506)) (-4509 |has| |#1| (-6 -4509)) (-2775 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) +((-4503 -2172 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-940)))) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4506 |has| |#1| (-6 -4506)) (-4509 |has| |#1| (-6 -4509)) (-2775 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL (-169 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}."))) -((-4503 -2171 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-940)))) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4506 |has| |#1| (-6 -4506)) (-4509 |has| |#1| (-6 -4509)) (-2775 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-363))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-2171 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-363)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-940))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-940)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-940))))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1235)))) (|HasCategory| |#1| (QUOTE (-1235))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-571)))) (-2171 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| |#1| (QUOTE (-1092))) (-12 (|HasCategory| |#1| (QUOTE (-1092))) (|HasCategory| |#1| (QUOTE (-1235)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-239)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasAttribute| |#1| (QUOTE -4506)) (|HasAttribute| |#1| (QUOTE -4509)) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209))))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-363))))) +((-4503 -2172 (|has| |#1| (-571)) (-12 (|has| |#1| (-319)) (|has| |#1| (-940)))) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4506 |has| |#1| (-6 -4506)) (-4509 |has| |#1| (-6 -4509)) (-2775 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) +((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-363))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-2172 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-363)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-940))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-940)))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-940))))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1235)))) (|HasCategory| |#1| (QUOTE (-1235))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-571)))) (-2172 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| |#1| (QUOTE (-1092))) (-12 (|HasCategory| |#1| (QUOTE (-1092))) (|HasCategory| |#1| (QUOTE (-1235)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-239)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (-12 (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasAttribute| |#1| (QUOTE -4506)) (|HasAttribute| |#1| (QUOTE -4509)) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209))))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-363))))) (-172 R S) ((|constructor| (NIL "This package extends maps from underlying rings to maps between complex over those rings.")) (|map| (((|Complex| |#2|) (|Mapping| |#2| |#1|) (|Complex| |#1|)) "\\spad{map(f,u)} maps \\spad{f} onto real and imaginary parts of \\spad{u}."))) NIL @@ -692,7 +692,7 @@ NIL ((|constructor| (NIL "This domain enumerates the three kinds of constructors available in OpenAxiom: category constructors,{} domain constructors,{} and package constructors.")) (|package| (($) "`package' is the kind of package constructors.")) (|domain| (($) "`domain' is the kind of domain constructors")) (|category| (($) "`category' is the kind of category constructors"))) NIL NIL -(-191 R -3969) +(-191 R -3968) ((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels."))) NIL NIL @@ -804,23 +804,23 @@ NIL ((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: July 2,{} 2010 Date Last Modified: July 2,{} 2010 Descrption: \\indented{2}{Representation of a dual vector space basis,{} given by symbols.}")) (|dual| (($ (|LinearBasis| |#1|)) "\\spad{dual x} constructs the dual vector of a linear element which is part of a basis."))) NIL NIL -(-219 -3969 UP UPUP R) +(-219 -3968 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 -(-220 -3969 FP) +(-220 -3968 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 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 (-221) ((|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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2171 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2172 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) (-222) ((|constructor| (NIL "This domain represents the syntax of a definition.")) (|body| (((|SpadAst|) $) "\\spad{body(d)} returns the right hand side of the definition `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|) $) "\\spad{head(d)} returns the head of the definition `d'. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any."))) NIL NIL -(-223 R -3969) +(-223 R -3968) ((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}."))) NIL NIL @@ -835,12 +835,12 @@ NIL (-226 S) ((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|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}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-227 |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}."))) ((-4507 . T)) NIL -(-228 R -3969) +(-228 R -3968) ((|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 @@ -855,7 +855,7 @@ NIL (-231 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}"))) ((-4510 . T) (-4511 . 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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 @@ -939,7 +939,7 @@ NIL (-252 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}"))) ((-4511 . T) (-4510 . 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(|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,a,p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank'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 @@ -951,7 +951,7 @@ NIL (-255 |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 `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|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object `d'."))) 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(QUOTE (-888)))) (|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (-261 A R S V E) ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\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} := 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 @@ -1031,7 +1031,7 @@ NIL (-275 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"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . 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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 @@ -1076,11 +1076,11 @@ 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|) $) "\\spad{degree(x)} gives the numbers of 1's in \\spad{x},{} \\spadignore{i.e.} the number of non-zero exponents in the basis element that \\spad{x} represents.")) (|coerce| (($ (|List| (|Integer|))) "\\spad{coerce(l)} converts a list of 0's and 1'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 -(-287 R -3969) +(-287 R -3968) ((|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 -(-288 R -3969) +(-288 R -3968) ((|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 @@ -1132,7 +1132,7 @@ 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 -(-301 S R |Mod| -3626 -2165 |exactQuo|) +(-301 S R |Mod| -2494 -3205 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL @@ -1150,8 +1150,8 @@ NIL NIL (-305 S) ((|constructor| (NIL "Equations as mathematical objects. All properties of the basis domain,{} \\spadignore{e.g.} being an abelian group are carried over the equation domain,{} by performing the structural operations on the left and on the right hand side.")) (|subst| (($ $ $) "\\spad{subst(eq1,eq2)} substitutes \\spad{eq2} into both sides of \\spad{eq1} the lhs of \\spad{eq2} should be a kernel")) (|inv| (($ $) "\\spad{inv(x)} returns the multiplicative inverse of \\spad{x}.")) (/ (($ $ $) "\\spad{e1/e2} produces a new equation by dividing the left and right hand sides of equations \\spad{e1} and \\spad{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.")) (= (($ |#1| |#1|) "\\spad{a=b} creates an equation."))) -((-4507 -2171 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4504 |has| |#1| (-1081)) (-4505 |has| |#1| (-1081))) -((|HasCategory| |#1| (QUOTE (-376))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2171 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748)))) (|HasCategory| |#1| (QUOTE (-487))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1144)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-310))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487)))) (-2171 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748)))) (-2171 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-748)))) +((-4507 -2172 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4504 |has| |#1| (-1081)) (-4505 |has| |#1| (-1081))) +((|HasCategory| |#1| (QUOTE (-376))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748)))) (|HasCategory| |#1| (QUOTE (-487))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1144)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-310))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-487)))) (-2172 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748)))) (-2172 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-748)))) (-306 S R) ((|constructor| (NIL "This package provides operations for mapping the sides of equations.")) (|map| (((|Equation| |#2|) (|Mapping| |#2| |#1|) (|Equation| |#1|)) "\\spad{map(f,eq)} returns an equation where \\spad{f} is applied to the sides of \\spad{eq}"))) NIL @@ -1159,7 +1159,7 @@ NIL (-307 |Key| |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102)))) (-308) ((|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 @@ -1172,11 +1172,11 @@ NIL ((|constructor| (NIL "An expression space is a set which is closed under certain operators.")) (|odd?| (((|Boolean|) $) "\\spad{odd? x} is \\spad{true} if \\spad{x} is an odd integer.")) (|even?| (((|Boolean|) $) "\\spad{even? x} is \\spad{true} if \\spad{x} is an even integer.")) (|definingPolynomial| (($ $) "\\spad{definingPolynomial(x)} returns an expression \\spad{p} such that \\spad{p(x) = 0}.")) (|minPoly| (((|SparseUnivariatePolynomial| $) (|Kernel| $)) "\\spad{minPoly(k)} returns \\spad{p} such that \\spad{p(k) = 0}.")) (|eval| (($ $ (|BasicOperator|) (|Mapping| $ $)) "\\spad{eval(x, s, f)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|BasicOperator|) (|Mapping| $ (|List| $))) "\\spad{eval(x, s, f)} replaces every \\spad{s(a1,..,am)} in \\spad{x} by \\spad{f(a1,..,am)} for any \\spad{a1},{}...,{}\\spad{am}.") (($ $ (|List| (|BasicOperator|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)} in \\spad{x} by \\spad{fi(a1,...,an)} for any \\spad{a1},{}...,{}\\spad{an}.") (($ $ (|List| (|BasicOperator|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [f1,...,fm])} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|Mapping| $ $)) "\\spad{eval(x, s, f)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|Mapping| $ (|List| $))) "\\spad{eval(x, s, f)} replaces every \\spad{s(a1,..,am)} in \\spad{x} by \\spad{f(a1,..,am)} for any \\spad{a1},{}...,{}\\spad{am}.") (($ $ (|List| (|Symbol|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)} in \\spad{x} by \\spad{fi(a1,...,an)} for any \\spad{a1},{}...,{}\\spad{an}.") (($ $ (|List| (|Symbol|)) (|List| (|Mapping| $ $))) "\\spad{eval(x, [s1,...,sm], [f1,...,fm])} replaces every \\spad{si(a)} in \\spad{x} by \\spad{fi(a)} for any \\spad{a}.")) (|freeOf?| (((|Boolean|) $ (|Symbol|)) "\\spad{freeOf?(x, s)} tests if \\spad{x} does not contain any operator whose name is \\spad{s}.") (((|Boolean|) $ $) "\\spad{freeOf?(x, y)} tests if \\spad{x} does not contain any occurrence of \\spad{y},{} where \\spad{y} is a single kernel.")) (|map| (($ (|Mapping| $ $) (|Kernel| $)) "\\spad{map(f, k)} returns \\spad{op(f(x1),...,f(xn))} where \\spad{k = op(x1,...,xn)}.")) (|kernel| (($ (|BasicOperator|) (|List| $)) "\\spad{kernel(op, [f1,...,fn])} constructs \\spad{op(f1,...,fn)} without evaluating it.") (($ (|BasicOperator|) $) "\\spad{kernel(op, x)} constructs \\spad{op}(\\spad{x}) without evaluating it.")) (|is?| (((|Boolean|) $ (|Symbol|)) "\\spad{is?(x, s)} tests if \\spad{x} is a kernel and is the name of its operator is \\spad{s}.") (((|Boolean|) $ (|BasicOperator|)) "\\spad{is?(x, op)} tests if \\spad{x} is a kernel and is its operator is op.")) (|belong?| (((|Boolean|) (|BasicOperator|)) "\\spad{belong?(op)} tests if \\% accepts \\spad{op} as applicable to its elements.")) (|operator| (((|BasicOperator|) (|BasicOperator|)) "\\spad{operator(op)} returns a copy of \\spad{op} with the domain-dependent properties appropriate for \\%.")) (|operators| (((|List| (|BasicOperator|)) $) "\\spad{operators(f)} returns all the basic operators appearing in \\spad{f},{} no matter what their levels are.")) (|tower| (((|List| (|Kernel| $)) $) "\\spad{tower(f)} returns all the kernels appearing in \\spad{f},{} no matter what their levels are.")) (|kernels| (((|List| (|Kernel| $)) $) "\\spad{kernels(f)} returns the list of all the top-level kernels appearing in \\spad{f},{} but not the ones appearing in the arguments of the top-level kernels.")) (|mainKernel| (((|Union| (|Kernel| $) "failed") $) "\\spad{mainKernel(f)} returns a kernel of \\spad{f} with maximum nesting level,{} or if \\spad{f} has no kernels (\\spadignore{i.e.} \\spad{f} is a constant).")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(f)} returns the highest nesting level appearing in \\spad{f}. Constants have height 0. Symbols have height 1. For any operator op and expressions \\spad{f1},{}...,{}fn,{} \\spad{op(f1,...,fn)} has height equal to \\spad{1 + max(height(f1),...,height(fn))}.")) (|distribute| (($ $ $) "\\spad{distribute(f, g)} expands all the kernels in \\spad{f} that contain \\spad{g} in their arguments and that are formally enclosed by a \\spadfunFrom{box}{ExpressionSpace} or a \\spadfunFrom{paren}{ExpressionSpace} expression.") (($ $) "\\spad{distribute(f)} expands all the kernels in \\spad{f} that are formally enclosed by a \\spadfunFrom{box}{ExpressionSpace} or \\spadfunFrom{paren}{ExpressionSpace} expression.")) (|paren| (($ (|List| $)) "\\spad{paren([f1,...,fn])} returns \\spad{(f1,...,fn)}. This prevents the \\spad{fi} from being evaluated when operators are applied to them,{} and makes them applicable to a unary operator. For example,{} \\spad{atan(paren [x, 2])} returns the formal kernel \\spad{atan((x, 2))}.") (($ $) "\\spad{paren(f)} returns (\\spad{f}). This prevents \\spad{f} from being evaluated when operators are applied to it. For example,{} \\spad{log(1)} returns 0,{} but \\spad{log(paren 1)} returns the formal kernel log((1)).")) (|box| (($ (|List| $)) "\\spad{box([f1,...,fn])} returns \\spad{(f1,...,fn)} with a 'box' around them that prevents the \\spad{fi} from being evaluated when operators are applied to them,{} and makes them applicable to a unary operator. For example,{} \\spad{atan(box [x, 2])} returns the formal kernel \\spad{atan(x, 2)}.") (($ $) "\\spad{box(f)} returns \\spad{f} with a 'box' around it that prevents \\spad{f} from being evaluated when operators are applied to it. For example,{} \\spad{log(1)} returns 0,{} but \\spad{log(box 1)} returns the formal kernel log(1).")) (|subst| (($ $ (|List| (|Kernel| $)) (|List| $)) "\\spad{subst(f, [k1...,kn], [g1,...,gn])} replaces the kernels \\spad{k1},{}...,{}kn by \\spad{g1},{}...,{}gn formally in \\spad{f}.") (($ $ (|List| (|Equation| $))) "\\spad{subst(f, [k1 = g1,...,kn = gn])} replaces the kernels \\spad{k1},{}...,{}kn by \\spad{g1},{}...,{}gn formally in \\spad{f}.") (($ $ (|Equation| $)) "\\spad{subst(f, k = g)} replaces the kernel \\spad{k} by \\spad{g} formally in \\spad{f}.")) (|elt| (($ (|BasicOperator|) (|List| $)) "\\spad{elt(op,[x1,...,xn])} or \\spad{op}([\\spad{x1},{}...,{}xn]) applies the \\spad{n}-ary operator \\spad{op} to \\spad{x1},{}...,{}xn.") (($ (|BasicOperator|) $ $ $ $) "\\spad{elt(op,x,y,z,t)} or \\spad{op}(\\spad{x},{} \\spad{y},{} \\spad{z},{} \\spad{t}) applies the 4-ary operator \\spad{op} to \\spad{x},{} \\spad{y},{} \\spad{z} and \\spad{t}.") (($ (|BasicOperator|) $ $ $) "\\spad{elt(op,x,y,z)} or \\spad{op}(\\spad{x},{} \\spad{y},{} \\spad{z}) applies the ternary operator \\spad{op} to \\spad{x},{} \\spad{y} and \\spad{z}.") (($ (|BasicOperator|) $ $) "\\spad{elt(op,x,y)} or \\spad{op}(\\spad{x},{} \\spad{y}) applies the binary operator \\spad{op} to \\spad{x} and \\spad{y}.") (($ (|BasicOperator|) $) "\\spad{elt(op,x)} or \\spad{op}(\\spad{x}) applies the unary operator \\spad{op} to \\spad{x}."))) NIL NIL -(-311 -3969 S) +(-311 -3968 S) ((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f, p, k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}."))) NIL NIL -(-312 E -3969) +(-312 E -3968) ((|constructor| (NIL "This package allows a mapping \\spad{E} -> \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f, k)} returns \\spad{g = op(f(a1),...,f(an))} where \\spad{k = op(a1,...,an)}."))) NIL NIL @@ -1216,7 +1216,7 @@ NIL ((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation'' substitutions.")) (|eval| (($ $ (|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 -(-322 -3969) +(-322 -3968) ((|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 @@ -1231,11 +1231,11 @@ NIL (-325 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))}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-940))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-1052))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-844))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-872))) (-2171 (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-844))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-872)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-1184))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-1286 |#1| |#2| |#3| 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(|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -528) (QUOTE (-1209)) (|%list| (QUOTE -1286) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -321) (|%list| (QUOTE -1286) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (|%list| (QUOTE -298) (|%list| (QUOTE -1286) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)) (|%list| (QUOTE -1286) (|devaluate| |#1|) (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#4|)))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-319))) (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-559))) (-12 (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-940))) (|HasCategory| $ (QUOTE (-147)))) (-2172 (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-147))) (-12 (|HasCategory| (-1286 |#1| |#2| |#3| |#4|) (QUOTE (-940))) (|HasCategory| $ (QUOTE (-147)))))) (-326 R) ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) -((-4507 -2171 (-12 (|has| |#1| (-571)) (-2171 (|has| |#1| (-1081)) (|has| |#1| (-487)))) (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) ((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-571)) (-4502 |has| |#1| (-571))) -((-2171 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (|HasCategory| |#1| (QUOTE (-571))) (-2171 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-21))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-1081))) (-2171 (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-147)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-175)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE 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|has| |#1| (-175)) (-4504 |has| |#1| (-175)) ((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-571)) (-4502 |has| |#1| (-571))) +((-2172 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (|HasCategory| |#1| (QUOTE (-571))) (-2172 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-21))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-1081))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-147)))) (-12 (|HasCategory| |#1| (|%list| 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(|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-2172 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-1081)))) (-12 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571)))) (-2172 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-21)))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1144)))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (QUOTE (-25)))) (-2172 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#1| (QUOTE (-1081)))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-1144))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| $ (QUOTE (-1081))) (|HasCategory| $ (|%list| (QUOTE -1070) (QUOTE (-560))))) (-327 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 @@ -1244,7 +1244,7 @@ NIL ((|constructor| (NIL "This package provides functions to convert functional expressions to power series.")) (|series| (((|Any|) |#2| (|Equation| |#2|) (|Fraction| (|Integer|))) "\\spad{series(f,x = a,n)} expands the expression \\spad{f} as a series in powers of (\\spad{x} - a); terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{series(f,x = a)} expands the expression \\spad{f} as a series in powers of (\\spad{x} - a).") (((|Any|) |#2| (|Fraction| (|Integer|))) "\\spad{series(f,n)} returns a series expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{series(f)} returns a series expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{series(x)} returns \\spad{x} viewed as a series.")) (|puiseux| (((|Any|) |#2| (|Equation| |#2|) (|Fraction| (|Integer|))) "\\spad{puiseux(f,x = a,n)} expands the expression \\spad{f} as a Puiseux series in powers of \\spad{(x - a)}; terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{puiseux(f,x = a)} expands the expression \\spad{f} as a Puiseux series in powers of \\spad{(x - a)}.") (((|Any|) |#2| (|Fraction| (|Integer|))) "\\spad{puiseux(f,n)} returns a Puiseux expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{puiseux(f)} returns a Puiseux expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{puiseux(x)} returns \\spad{x} viewed as a Puiseux series.")) (|laurent| (((|Any|) |#2| (|Equation| |#2|) (|Integer|)) "\\spad{laurent(f,x = a,n)} expands the expression \\spad{f} as a Laurent series in powers of \\spad{(x - a)}; terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{laurent(f,x = a)} expands the expression \\spad{f} as a Laurent series in powers of \\spad{(x - a)}.") (((|Any|) |#2| (|Integer|)) "\\spad{laurent(f,n)} returns a Laurent expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{laurent(f)} returns a Laurent expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{laurent(x)} returns \\spad{x} viewed as a Laurent series.")) (|taylor| (((|Any|) |#2| (|Equation| |#2|) (|NonNegativeInteger|)) "\\spad{taylor(f,x = a)} expands the expression \\spad{f} as a Taylor series in powers of \\spad{(x - a)}; terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2| (|Equation| |#2|)) "\\spad{taylor(f,x = a)} expands the expression \\spad{f} as a Taylor series in powers of \\spad{(x - a)}.") (((|Any|) |#2| (|NonNegativeInteger|)) "\\spad{taylor(f,n)} returns a Taylor expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable and terms will be computed up to order at least \\spad{n}.") (((|Any|) |#2|) "\\spad{taylor(f)} returns a Taylor expansion of the expression \\spad{f}. Note: \\spad{f} should have only one variable; the series will be expanded in powers of that variable.") (((|Any|) (|Symbol|)) "\\spad{taylor(x)} returns \\spad{x} viewed as a Taylor series."))) NIL NIL -(-329 R -3969) +(-329 R -3968) ((|constructor| (NIL "Taylor series solutions of explicit ODE's.")) (|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 @@ -1255,7 +1255,7 @@ NIL (-331 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."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2171 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -4116) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2823) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -3076) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2822) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) (-332 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,b1),...,(am,bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f, n)} returns \\spad{(p, r, [r1,...,rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}rm are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1287,12 +1287,12 @@ NIL (-339 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."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) -(-340 S -3969) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +(-340 S -3968) ((|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})\\$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})\\$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**(q**(d*i)) for \\spad{i} in 0..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},{}...,{}vn are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#2|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}'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| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\$ as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\$ as \\spad{F}-vectorspace."))) NIL ((|HasCategory| |#2| (QUOTE (-381)))) -(-341 -3969) +(-341 -3968) ((|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})\\$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})\\$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**(q**(d*i)) for \\spad{i} in 0..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},{}...,{}vn are the elements of the fixed basis.")) (|coordinates| (((|Matrix| |#1|) (|Vector| $)) "\\spad{coordinates([v1,...,vm])} returns the coordinates of the \\spad{vi}'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| $) (|PositiveInteger|)) "\\spad{basis(n)} returns a fixed basis of a subfield of \\$ as \\spad{F}-vectorspace.") (((|Vector| $)) "\\spad{basis()} returns a fixed basis of \\$ as \\spad{F}-vectorspace."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL @@ -1312,7 +1312,7 @@ NIL ((|constructor| (NIL "Represntation of data needed to instantiate a domain constructor.")) (|lookupFunction| (((|Identifier|) $) "\\spad{lookupFunction x} returns the name of the lookup function associated with the functor data \\spad{x}.")) (|categories| (((|PrimitiveArray| (|ConstructorCall| (|CategoryConstructor|))) $) "\\spad{categories x} returns the list of categories forms each domain object obtained from the domain data \\spad{x} belongs to.")) (|encodingDirectory| (((|PrimitiveArray| (|NonNegativeInteger|)) $) "\\spad{encodintDirectory x} returns the directory of domain-wide entity description.")) (|attributeData| (((|List| (|Pair| (|Syntax|) (|NonNegativeInteger|))) $) "\\spad{attributeData x} returns the list of attribute-predicate bit vector index pair associated with the functor data \\spad{x}.")) (|domainTemplate| (((|DomainTemplate|) $) "\\spad{domainTemplate x} returns the domain template vector associated with the functor data \\spad{x}."))) NIL NIL -(-346 -3969 UP UPUP R) +(-346 -3968 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}'s are integers and the \\spad{P}'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 @@ -1320,11 +1320,11 @@ 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 -(-348 S -3969 UP UPUP R) +(-348 S -3968 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}'s are integers and the \\spad{P}'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 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 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 -(-349 -3969 UP UPUP R) +(-349 -3968 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}'s are integers and the \\spad{P}'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 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 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 @@ -1343,12 +1343,12 @@ NIL (-353 |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}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| (-936 |#1|) (QUOTE (-147))) (|HasCategory| (-936 |#1|) (QUOTE (-381)))) (|HasCategory| (-936 |#1|) (QUOTE (-149))) (|HasCategory| (-936 |#1|) (QUOTE (-381))) (|HasCategory| (-936 |#1|) (QUOTE (-147)))) -(-354 S -3969 UP UPUP) +((-2172 (|HasCategory| (-936 |#1|) (QUOTE (-147))) (|HasCategory| (-936 |#1|) (QUOTE (-381)))) (|HasCategory| (-936 |#1|) (QUOTE (-149))) (|HasCategory| (-936 |#1|) (QUOTE (-381))) (|HasCategory| (-936 |#1|) (QUOTE (-147)))) +(-354 S -3968 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 \\spad{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 (-381))) (|HasCategory| |#2| (QUOTE (-376)))) -(-355 -3969 UP UPUP) +(-355 -3968 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 \\spad{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."))) ((-4503 |has| (-421 |#2|) (-376)) (-4508 |has| (-421 |#2|) (-376)) (-4502 |has| (-421 |#2|) (-376)) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL @@ -1359,15 +1359,15 @@ NIL (-357 |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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| (-936 |#1|) (QUOTE (-147))) (|HasCategory| (-936 |#1|) (QUOTE (-381)))) (|HasCategory| (-936 |#1|) (QUOTE (-149))) (|HasCategory| (-936 |#1|) (QUOTE (-381))) (|HasCategory| (-936 |#1|) (QUOTE (-147)))) +((-2172 (|HasCategory| (-936 |#1|) (QUOTE (-147))) (|HasCategory| (-936 |#1|) (QUOTE (-381)))) (|HasCategory| (-936 |#1|) (QUOTE (-149))) (|HasCategory| (-936 |#1|) (QUOTE (-381))) (|HasCategory| (-936 |#1|) (QUOTE (-147)))) (-358 GF |defpol|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtensionByPolynomial(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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-359 GF |extdeg|) ((|constructor| (NIL "FiniteFieldCyclicGroupExtension(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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-360 GF) ((|constructor| (NIL "FiniteFieldFunctions(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 @@ -1384,42 +1384,42 @@ 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|) $) "\\spad{primitive?(b)} tests whether the element \\spad{b} is a generator of the (cyclic) multiplicative group of the field,{} \\spadignore{i.e.} is a primitive element. Implementation Note: see ch.IX.1.3,{} th.2 in \\spad{D}. Lipson.")) (|primitiveElement| (($) "\\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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL -(-364 R UP -3969) +(-364 R UP -3968) ((|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 (-365 |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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| (-936 |#1|) (QUOTE (-147))) (|HasCategory| (-936 |#1|) (QUOTE (-381)))) (|HasCategory| (-936 |#1|) (QUOTE (-149))) (|HasCategory| (-936 |#1|) (QUOTE (-381))) (|HasCategory| (-936 |#1|) (QUOTE (-147)))) +((-2172 (|HasCategory| (-936 |#1|) (QUOTE (-147))) (|HasCategory| (-936 |#1|) (QUOTE (-381)))) (|HasCategory| (-936 |#1|) (QUOTE (-149))) (|HasCategory| (-936 |#1|) (QUOTE (-381))) (|HasCategory| (-936 |#1|) (QUOTE (-147)))) (-366 GF |uni|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-367 GF |extdeg|) ((|constructor| (NIL "FiniteFieldNormalBasisExtensionByPolynomial(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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-368 GF |defpol|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-369 GF) ((|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(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(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(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(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(GF) generates a normal polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createPrimitivePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createPrimitivePoly(n)}\\$FFPOLY(GF) generates a primitive polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|createIrreduciblePoly| (((|SparseUnivariatePolynomial| |#1|) (|PositiveInteger|)) "\\spad{createIrreduciblePoly(n)}\\$FFPOLY(GF) generates a monic irreducible univariate polynomial of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfNormalPoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfNormalPoly(n)}\\$FFPOLY(GF) yields the number of normal polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfPrimitivePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfPrimitivePoly(n)}\\$FFPOLY(GF) yields the number of primitive polynomials of degree \\spad{n} over the finite field {\\em GF}.")) (|numberOfIrreduciblePoly| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{numberOfIrreduciblePoly(n)}\\$FFPOLY(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 -(-370 -3969 GF) +(-370 -3968 GF) ((|constructor| (NIL "\\spad{FiniteFieldPolynomialPackage2}(\\spad{F},{}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 -(-371 -3969 FP FPP) +(-371 -3968 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}'s exists."))) NIL NIL (-372 GF |n|) ((|constructor| (NIL "FiniteFieldExtensionByPolynomial(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}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) +((-2172 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147)))) (-373 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{ls}."))) NIL @@ -1552,7 +1552,7 @@ 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 -(-406 -3969 UP UPUP R) +(-406 -3968 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 @@ -1580,7 +1580,7 @@ NIL ((|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 -(-413 -3969 UP) +(-413 -3968 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 \\spad{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 @@ -1607,7 +1607,7 @@ NIL (-419 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 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."))) ((-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -321) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -298) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1254))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-1254)))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-466)))) +((|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -321) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -298) (QUOTE $) (QUOTE $))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-1254))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-1254)))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-466)))) (-420 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."))) NIL @@ -1615,7 +1615,7 @@ NIL (-421 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 gcd's between numerator and denominator will be cancelled during all operations.")) (|canonical| ((|attribute|) "\\spad{canonical} means that equal elements are in fact identical."))) ((-4497 -12 (|has| |#1| (-6 -4508)) (|has| |#1| (-466)) (|has| |#1| (-6 -4497))) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-940))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| |#1| (QUOTE (-872)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-1184))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845))))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-559))) (-12 (|HasAttribute| |#1| (QUOTE -4508)) (|HasAttribute| |#1| (QUOTE -4497)) (|HasCategory| |#1| (QUOTE (-466)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-940))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (QUOTE (-1052))) (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-844))) (|HasCategory| |#1| (QUOTE (-872)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-1184))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845))))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845))))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-845)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-559))) (-12 (|HasAttribute| |#1| (QUOTE -4508)) (|HasAttribute| |#1| (QUOTE -4497)) (|HasCategory| |#1| (QUOTE (-466)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-422 A B) ((|constructor| (NIL "This package extends a map between integral domains to a map between Fractions over those domains by applying the map to the numerators and denominators.")) (|map| (((|Fraction| |#2|) (|Mapping| |#2| |#1|) (|Fraction| |#1|)) "\\spad{map(func,frac)} applies the function \\spad{func} to the numerator and denominator of the fraction \\spad{frac}."))) NIL @@ -1636,7 +1636,7 @@ NIL ((|constructor| (NIL "\\indented{2}{A is fully retractable to \\spad{B} means that A is retractable to \\spad{B},{} and,{}} \\indented{2}{in addition,{} if \\spad{B} is retractable to the integers or rational} \\indented{2}{numbers then so is A.} \\indented{2}{In particular,{} what we are asserting is that there are no integers} \\indented{2}{(rationals) in A which don't retract into \\spad{B}.} Date Created: March 1990 Date Last Updated: 9 April 1991"))) NIL NIL -(-427 R -3969 UP A) +(-427 R -3968 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)}."))) ((-4507 . T)) NIL @@ -1644,7 +1644,7 @@ 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 -(-429 R -3969 UP A |ibasis|) +(-429 R -3968 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 -1070) (|devaluate| |#2|)))) @@ -1670,7 +1670,7 @@ NIL ((|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-1144))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (-435 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| $))) "\\spad{eval(x, s, n, f)} replaces every \\spad{s(a1,...,am)**n} in \\spad{x} by \\spad{f(a1,...,am)} for any \\spad{a1},{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x, [s1,...,sm], [n1,...,nm], [f1,...,fm])} replaces every \\spad{si(a1,...,an)**ni} in \\spad{x} by \\spad{fi(a1,...,an)} for any \\spad{a1},{}...,{}am.") (($ $ (|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}'s in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f, foo)} unquotes all the foo'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|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) -((-4507 -2171 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) ((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-571)) (-4502 |has| |#1| (-571))) +((-4507 -2172 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) ((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-571)) (-4502 |has| |#1| (-571))) NIL (-436 R A S B) ((|constructor| (NIL "This package allows a mapping \\spad{R} -> \\spad{S} to be lifted to a mapping from a function space over \\spad{R} to a function space over \\spad{S}.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, a)} applies \\spad{f} to all the constants in \\spad{R} appearing in \\spad{a}."))) @@ -1696,7 +1696,7 @@ NIL ((|constructor| (NIL "\\spad{FiniteSetAggregateFunctions2} provides functions involving two finite set aggregates where the underlying domains might be different. An example of this is to create a set of rational numbers by mapping a function across a set of integers,{} where the function divides each integer by 1000.")) (|scan| ((|#4| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-aggregates \\spad{x} of aggregate \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad {[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}.")) (|reduce| ((|#3| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the aggregate \\spad{a} and an accumulant initialised to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does a \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as an identity element for the function.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f,a)} applies function \\spad{f} to each member of aggregate \\spad{a},{} creating a new aggregate with a possibly different underlying domain."))) NIL NIL -(-442 R -3969) +(-442 R -3968) ((|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 @@ -1704,19 +1704,19 @@ 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"))) ((-4497 -12 (|has| |#1| (-6 -4497)) (|has| |#2| (-6 -4497))) (-4504 . T) (-4505 . T) (-4507 . T)) ((-12 (|HasAttribute| |#1| (QUOTE -4497)) (|HasAttribute| |#2| (QUOTE -4497)))) -(-444 R -3969) +(-444 R -3968) ((|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 -(-445 R -3969) +(-445 R -3968) ((|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 -(-446 R -3969) +(-446 R -3968) ((|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 \\spad{a2} may involve \\spad{a1},{} but the minimal polynomial for \\spad{a1} may not involve \\spad{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)))) -(-447 R -3969) +(-447 R -3968) ((|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 @@ -1724,7 +1724,7 @@ 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 -(-449 R -3969 UP) +(-449 R -3968 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 -1070) (QUOTE (-48))))) @@ -1756,7 +1756,7 @@ 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's criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein'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'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 -(-457 R UP -3969) +(-457 R UP -3968) ((|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 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'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'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's norm of \\spad{p}.") ((|#3| |#2|) "\\spad{bombieriNorm(p)} returns quadratic Bombieri'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 @@ -1803,7 +1803,7 @@ NIL (-468 |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"))) (((-4512 "*") |has| |#2| (-175)) (-4503 |has| |#2| (-571)) (-4508 |has| |#2| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#2| (QUOTE (-940))) (-2171 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2171 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4508)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-940))) (-2172 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2172 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4508)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) (-469 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's conditional."))) NIL @@ -1868,7 +1868,7 @@ NIL ((|constructor| (NIL "GradedModule(\\spad{R},{}\\spad{E}) denotes ``E-graded \\spad{R}-module'',{} \\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 -(-485 |lv| -3969 R) +(-485 |lv| -3968 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 @@ -1883,11 +1883,11 @@ NIL (-488 |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.") 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The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) ((-4511 . T) (-4510 . T)) @@ -1903,7 +1903,7 @@ NIL (-493 |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."))) ((-4510 . T) (-4511 . 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Hall as given in Serre's book Lie Groups -- 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{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 @@ -1911,11 +1911,11 @@ NIL (-495 |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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(-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-2172 (|HasCategory| |#2| (QUOTE (-1081))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasAttribute| |#2| (QUOTE -4507)) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209))))) (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))))) (-497) ((|constructor| (NIL "This domain represents the header of a definition.")) (|parameters| (((|List| (|ParameterAst|)) $) "\\spad{parameters(h)} gives the parameters specified in the definition header `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 @@ -1923,8 +1923,8 @@ NIL (-498 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}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) -(-499 -3969 UP UPUP R) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +(-499 -3968 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}'s are integers and the \\spad{P}'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 @@ -1935,7 +1935,7 @@ NIL (-501) ((|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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2171 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2172 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) (-502 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|) $) "\\spad{map(f,u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) NIL @@ -1960,7 +1960,7 @@ NIL ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) NIL NIL -(-508 -3969 UP |AlExt| |AlPol|) +(-508 -3968 UP |AlExt| |AlPol|) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of a field over which we can factor UP'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 @@ -1971,16 +1971,16 @@ NIL (-510 S |mn|) ((|constructor| (NIL "\\indented{1}{Author Micheal Monagan \\spad{Aug/87}} This is the basic one dimensional array data type."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-511 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'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."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-512 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 -(-513 R UP -3969) +(-513 R UP -3968) ((|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 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| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}"))) NIL NIL @@ -2000,7 +2000,7 @@ NIL ((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}'s.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}'s.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}qn."))) NIL NIL -(-518 -3969 |Expon| |VarSet| |DPoly|) +(-518 -3968 |Expon| |VarSet| |DPoly|) ((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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}.")) (* (($ $ $) "\\spad{I*J} computes the product of the ideal \\spad{I} and \\spad{J}."))) NIL ((|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-1209))))) @@ -2051,7 +2051,7 @@ NIL (-530 S |mn|) ((|constructor| (NIL "\\indented{1}{Author: Michael Monagan \\spad{July/87},{} modified SMW \\spad{June/91}} A FlexibleArray is the notion of an array intended to allow for growth at the end only. Hence the following efficient operations \\indented{2}{\\spad{append(x,a)} meaning append item \\spad{x} at the end of the array \\spad{a}} \\indented{2}{\\spad{delete(a,n)} meaning delete the last item from the array \\spad{a}} Flexible arrays support the other operations inherited from \\spadtype{ExtensibleLinearAggregate}. However,{} these are not efficient. Flexible arrays combine the \\spad{O(1)} access time property of arrays with growing and shrinking at the end in \\spad{O(1)} (average) time. This is done by using an ordinary array which may have zero or more empty slots at the end. When the array becomes full it is copied into a new larger (50\\% larger) array. Conversely,{} when the array becomes less than 1/2 full,{} it is copied into a smaller array. Flexible arrays provide for an efficient implementation of many data structures in particular heaps,{} stacks and sets.")) (|shrinkable| (((|Boolean|) (|Boolean|)) "\\spad{shrinkable(b)} sets the shrinkable attribute of flexible arrays to \\spad{b} and returns the previous value")) (|physicalLength!| (($ $ (|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}"))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-531) ((|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 @@ -2059,15 +2059,15 @@ NIL (-532 |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}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((-2171 (|HasCategory| (-595 |#1|) (QUOTE (-147))) (|HasCategory| (-595 |#1|) (QUOTE (-381)))) (|HasCategory| (-595 |#1|) (QUOTE (-149))) (|HasCategory| (-595 |#1|) (QUOTE (-381))) (|HasCategory| (-595 |#1|) (QUOTE (-147)))) +((-2172 (|HasCategory| (-595 |#1|) (QUOTE (-147))) (|HasCategory| (-595 |#1|) (QUOTE (-381)))) (|HasCategory| (-595 |#1|) (QUOTE (-149))) (|HasCategory| (-595 |#1|) (QUOTE (-381))) (|HasCategory| (-595 |#1|) (QUOTE (-147)))) (-533 R |mnRow| |mnCol| |Row| |Col|) ((|constructor| (NIL "\\indented{1}{This is an internal type which provides an implementation of} 2-dimensional arrays as PrimitiveArray's of PrimitiveArray's."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-534 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."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-535 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,{} m*h and 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 @@ -2079,7 +2079,7 @@ NIL (-537 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."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4512 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4512 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-538) ((|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 @@ -2112,7 +2112,7 @@ 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 ((-12 (|HasCategory| (-793) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-1133))))) -(-546 K -3969 |Par|) +(-546 K -3968 |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 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 @@ -2136,7 +2136,7 @@ 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 -(-552 K -3969 |Par|) +(-552 K -3968 |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 @@ -2191,12 +2191,12 @@ NIL (-565 |Key| |Entry| |addDom|) ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102)))) -(-566 R -3969) +((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102)))) +(-566 R -3968) ((|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 -(-567 R0 -3969 UP UPUP R) +(-567 R0 -3968 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 @@ -2216,7 +2216,7 @@ 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."))) ((-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL -(-572 R -3969) +(-572 R -3968) ((|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},{}...,{}kn (the \\spad{ki}'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}'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 @@ -2228,7 +2228,7 @@ 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 -(-575 R -3969 L) +(-575 R -3968 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}'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}'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 -680) (|devaluate| |#2|)))) @@ -2236,11 +2236,11 @@ 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 -(-577 -3969 UP UPUP R) +(-577 -3968 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 -(-578 -3969 UP) +(-578 -3968 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 @@ -2248,15 +2248,15 @@ 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,{} {\\tt \\spad{exp}},{} over a given range,{} {\\tt a} to {\\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 {\\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,{} {\\tt \\spad{exp}},{} over a given range,{} {\\tt a} to {\\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 {\\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,{} {\\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,{} {\\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,{} {\\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,{} {\\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,{} {\\tt \\spad{exp}},{} over a given range {\\tt a} to {\\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,{} {\\tt \\spad{exp}},{} over a given range {\\tt a} to {\\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,{} {\\tt \\spad{exp}},{} over a given range {\\tt a} to {\\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,{} {\\tt \\spad{exp}},{} over a given range {\\tt a} to {\\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 -(-580 R -3969 L) +(-580 R -3968 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}'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 -680) (|devaluate| |#2|)))) -(-581 R -3969) +(-581 R -3968) ((|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 -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1171)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-649))))) -(-582 -3969 UP) +(-582 -3968 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}'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 @@ -2264,7 +2264,7 @@ 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 -(-584 -3969) +(-584 -3968) ((|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}'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 @@ -2276,15 +2276,15 @@ NIL ((|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}'s exists."))) NIL NIL -(-587 R -3969) +(-587 R -3968) ((|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 -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-296))) (|HasCategory| |#2| (QUOTE (-649))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-296)))) (|HasCategory| |#1| (QUOTE (-571)))) -(-588 -3969 UP) +(-588 -3968 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 -(-589 R -3969) +(-589 R -3968) ((|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 @@ -2316,15 +2316,15 @@ 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 -(-597 -3969) +(-597 -3968) ((|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 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}."))) ((-4505 . T) (-4504 . T)) ((|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-1209))))) -(-598 E -3969) +(-598 E -3968) ((|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 -(-599 R -3969) +(-599 R -3968) ((|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},{}...,{}Pn are the factors of \\spad{P}."))) NIL NIL @@ -2359,7 +2359,7 @@ NIL (-607 |mn|) ((|constructor| (NIL "This domain implements low-level strings"))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2171 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-146) (QUOTE (-872))) (-2171 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) +((-2172 (-12 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2172 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-146) (QUOTE (-872))) (-2172 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-608 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 @@ -2367,7 +2367,7 @@ NIL (-609 |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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|)))) (|HasCategory| (-560) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560)))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-560)) (|devaluate| |#1|)))) (|HasCategory| (-560) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-560)))))) (-610 |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.}"))) (((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4504 . T) (-4505 . T) (-4507 . T)) @@ -2384,7 +2384,7 @@ 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 -(-614 R -3969 FG) +(-614 R -3968 FG) ((|constructor| (NIL "This package provides transformations from trigonometric functions to exponentials and logarithms,{} and back. \\spad{F} and 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 @@ -2395,7 +2395,7 @@ NIL (-616 R |mn|) ((|constructor| (NIL "\\indented{2}{This type represents vector like objects with varying lengths} and a user-specified initial index."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-617 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|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) NIL @@ -2410,8 +2410,8 @@ NIL NIL (-620 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$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)."))) -((-4507 -2171 (-2359 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4505 . T) (-4504 . T)) -((-2171 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) +((-4507 -2172 (-2359 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4505 . T) (-4504 . T)) +((-2172 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-621) ((|constructor| (NIL "This is the datatype for the JVM bytecodes."))) NIL @@ -2464,7 +2464,7 @@ 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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}."))) NIL NIL -(-634 -3969 UP) +(-634 -3968 UP) ((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic's algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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 @@ -2492,7 +2492,7 @@ NIL ((|constructor| (NIL "The category of all left algebras over an arbitrary ring.")) (|coerce| (($ |#1|) "\\spad{coerce(r)} returns \\spad{r} * 1 where 1 is the identity of the left algebra."))) ((-4507 . T)) NIL -(-641 R -3969) +(-641 R -3968) ((|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 @@ -2520,7 +2520,7 @@ NIL ((|constructor| (NIL "A package for solving polynomial systems with finitely many solutions. The decompositions are given by means of regular triangular sets. The computations use lexicographical Groebner bases. The main operations are \\axiomOpFrom{lexTriangular}{LexTriangularPackage} and \\axiomOpFrom{squareFreeLexTriangular}{LexTriangularPackage}. The second one provide decompositions by means of square-free regular triangular sets. Both are based on the {\\em lexTriangular} method described in [1]. They differ from the algorithm described in [2] by the fact that multiciplities of the roots are not kept. With the \\axiomOpFrom{squareFreeLexTriangular}{LexTriangularPackage} operation all multiciplities are removed. With the other operation some multiciplities may remain. Both operations admit an optional argument to produce normalized triangular sets. \\newline")) (|zeroSetSplit| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#2|)) (|OrderedVariableList| |#2|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{zeroSetSplit(lp,{} norm?)} decomposes the variety associated with \\axiom{lp} into square-free regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{lp} needs to generate a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.") (((|List| (|RegularChain| |#1| |#2|)) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{zeroSetSplit(lp,{} norm?)} decomposes the variety associated with \\axiom{lp} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{lp} needs to generate a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|squareFreeLexTriangular| (((|List| (|SquareFreeRegularTriangularSet| |#1| (|IndexedExponents| (|OrderedVariableList| |#2|)) (|OrderedVariableList| |#2|) (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{squareFreeLexTriangular(base,{} norm?)} decomposes the variety associated with \\axiom{base} into square-free regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{base} needs to be a lexicographical Groebner basis of a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|lexTriangular| (((|List| (|RegularChain| |#1| |#2|)) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|Boolean|)) "\\axiom{lexTriangular(base,{} norm?)} decomposes the variety associated with \\axiom{base} into regular chains. Thus a point belongs to this variety iff it is a regular zero of a regular set in in the output. Note that \\axiom{base} needs to be a lexicographical Groebner basis of a zero-dimensional ideal. If \\axiom{norm?} is \\axiom{\\spad{true}} then the regular sets are normalized.")) (|groebner| (((|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{groebner(lp)} returns the lexicographical Groebner basis of \\axiom{lp}. If \\axiom{lp} generates a zero-dimensional ideal then the {\\em FGLM} strategy is used,{} otherwise the {\\em Sugar} strategy is used.")) (|fglmIfCan| (((|Union| (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|))) "failed") (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{fglmIfCan(lp)} returns the lexicographical Groebner basis of \\axiom{lp} by using the {\\em FGLM} strategy,{} if \\axiom{zeroDimensional?(lp)} holds .")) (|zeroDimensional?| (((|Boolean|) (|List| (|NewSparseMultivariatePolynomial| |#1| (|OrderedVariableList| |#2|)))) "\\axiom{zeroDimensional?(lp)} returns \\spad{true} iff \\axiom{lp} generates a zero-dimensional ideal \\spad{w}.\\spad{r}.\\spad{t}. the variables involved in \\axiom{lp}."))) NIL NIL -(-648 R -3969) +(-648 R -3968) ((|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 @@ -2528,18 +2528,18 @@ 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 -(-650 |lv| -3969) +(-650 |lv| -3968) ((|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 (-651) ((|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."))) ((-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1191))) (|%list| (QUOTE |:|) (QUOTE -1922) (QUOTE (-51))))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-1191) (QUOTE (-872))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133)))) +((-12 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1191))) (|%list| (QUOTE |:|) (QUOTE -1922) (QUOTE (-51))))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-1191) (QUOTE (-872))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 (-51))) (QUOTE (-1133)))) (-652 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)."))) -((-4507 -2171 (-2359 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4505 . T) (-4504 . T)) -((-2171 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) +((-4507 -2172 (-2359 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4505 . T) (-4504 . T)) +((-2172 (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (|%list| (QUOTE -432) (|devaluate| |#1|))))) (|HasCategory| |#2| (|%list| (QUOTE -380) (|devaluate| |#1|)))) (-653 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{x/r} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) NIL @@ -2583,7 +2583,7 @@ NIL (-663 S) ((|constructor| (NIL "\\spadtype{List} implements singly-linked lists that are addressable by indices; the index of the first element is 1. In addition to the operations provided by \\spadtype{IndexedList},{} this constructor provides some LISP-like functions such as \\spadfun{null} and \\spadfun{cons}.")) (|setDifference| (($ $ $) "\\spad{setDifference(u1,u2)} returns a list of the elements of \\spad{u1} that are not also in \\spad{u2}. The order of elements in the resulting list is unspecified.")) (|setIntersection| (($ $ $) "\\spad{setIntersection(u1,u2)} returns a list of the elements that lists \\spad{u1} and \\spad{u2} have in common. The order of elements in the resulting list is unspecified.")) (|setUnion| (($ $ $) "\\spad{setUnion(u1,u2)} appends the two lists \\spad{u1} and \\spad{u2},{} then removes all duplicates. The order of elements in the resulting list is unspecified.")) (|append| (($ $ $) "\\spad{append(u1,u2)} appends the elements of list \\spad{u1} onto the front of list \\spad{u2}. This new list and \\spad{u2} will share some structure.")) (|cons| (($ |#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."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-845))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-664 A B) ((|constructor| (NIL "\\spadtype{ListFunctions2} implements utility functions that operate on two kinds of lists,{} each with a possibly different type of element.")) (|map| (((|List| |#2|) (|Mapping| |#2| |#1|) (|List| |#1|)) "\\spad{map(fn,u)} applies \\spad{fn} to each element of list \\spad{u} and returns a new list with the results. For example \\spad{map(square,[1,2,3]) = [1,4,9]}.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|List| |#1|) |#2|) "\\spad{reduce(fn,u,ident)} successively uses the binary function \\spad{fn} on the elements of list \\spad{u} and the result of previous applications. \\spad{ident} is returned if the \\spad{u} is empty. Note the order of application in the following examples: \\spad{reduce(fn,[1,2,3],0) = fn(3,fn(2,fn(1,0)))} and \\spad{reduce(*,[2,3],1) = 3 * (2 * 1)}.")) (|scan| (((|List| |#2|) (|Mapping| |#2| |#1| |#2|) (|List| |#1|) |#2|) "\\spad{scan(fn,u,ident)} successively uses the binary function \\spad{fn} to reduce more and more of list \\spad{u}. \\spad{ident} is returned if the \\spad{u} is empty. The result is a list of the reductions at each step. See \\spadfun{reduce} for more information. Examples: \\spad{scan(fn,[1,2],0) = [fn(2,fn(1,0)),fn(1,0)]} and \\spad{scan(*,[2,3],1) = [2 * 1, 3 * (2 * 1)]}."))) NIL @@ -2607,7 +2607,7 @@ NIL (-669 S) ((|substitute| (($ |#1| |#1| $) "\\spad{substitute(x,y,d)} replace \\spad{x}'s with \\spad{y}'s in dictionary \\spad{d}.")) (|duplicates?| (((|Boolean|) $) "\\spad{duplicates?(d)} tests if dictionary \\spad{d} has duplicate entries."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-670 R) ((|constructor| (NIL "The category of left modules over an rng (ring not necessarily with unit). This is an abelian group which supports left multiplation by elements of the rng. \\blankline"))) NIL @@ -2628,11 +2628,11 @@ NIL ((|constructor| (NIL "Localize(\\spad{M},{}\\spad{R},{}\\spad{S}) produces fractions with numerators from an \\spad{R} module \\spad{M} and denominators from some multiplicative subset \\spad{D} of \\spad{R}.")) (|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{m / d} divides the element \\spad{m} by \\spad{d}.") (($ $ |#3|) "\\spad{x / d} divides the element \\spad{x} by \\spad{d}."))) ((-4505 . T) (-4504 . T)) ((|HasCategory| |#1| (QUOTE (-814)))) -(-675 R -3969 L) +(-675 R -3968 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 -(-676 A -3083) +(-676 A -2063) ((|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}}"))) ((-4504 . T) (-4505 . T) (-4507 . T)) ((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-376)))) @@ -2652,7 +2652,7 @@ 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}."))) ((-4504 . T) (-4505 . T) (-4507 . T)) NIL -(-681 -3969 UP) +(-681 -3968 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)))) @@ -2684,11 +2684,11 @@ 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}."))) ((-4511 . T) (-4510 . T)) NIL -(-689 -3969 |Row| |Col| M) +(-689 -3968 |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 -(-690 -3969) +(-690 -3968) ((|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'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 @@ -2699,7 +2699,7 @@ NIL (-692 |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."))) ((-4507 . T) (-4510 . T) (-4504 . T) (-4505 . T)) -((|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-571))) (-2171 (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) +((|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-571))) (-2172 (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) (-693) ((|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 @@ -2719,7 +2719,7 @@ NIL (-697 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 -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (QUOTE (-1081))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-698) ((|constructor| (NIL "This domain represents the syntax of a macro definition.")) (|body| (((|SpadAst|) $) "\\spad{body(m)} returns the right hand side of the definition `m'.")) (|head| (((|HeadAst|) $) "\\spad{head(m)} returns the head of the macro definition `m'. This is a list of identifiers starting with the name of the macro followed by the name of the parameters,{} if any."))) NIL @@ -2775,7 +2775,7 @@ NIL (-711 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."))) ((-4510 . T) (-4511 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4512 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-319))) (|HasCategory| |#1| (QUOTE (-571))) (|HasAttribute| |#1| (QUOTE (-4512 "*"))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-712 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{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 @@ -2784,7 +2784,7 @@ 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.")) 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(|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,{} \\spad{kl+ku+1} being actual bandwidth. Stores the nonzero band in a matrix,{} dimensions \\spad{kl+ku+1} by \\#xlist. The upper triangle is in the top \\spad{ku} rows,{} the diagonal is in row \\spad{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}."))) 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T)) -((|HasCategory| (-721) (QUOTE (-149))) (|HasCategory| (-721) (QUOTE (-147))) (|HasCategory| (-721) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-721) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-721) (QUOTE (-381))) (|HasCategory| (-721) (QUOTE (-376))) (-2171 (|HasCategory| (-721) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-721) (QUOTE (-376)))) (|HasCategory| (-721) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-721) (QUOTE (-240))) (|HasCategory| (-721) (QUOTE (-239))) (-2171 (-12 (|HasCategory| (-721) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-721) (QUOTE (-376)))) (|HasCategory| (-721) (|%list| (QUOTE -930) (QUOTE (-1209))))) (-2171 (|HasCategory| (-721) (QUOTE (-376))) (|HasCategory| (-721) (QUOTE (-363)))) (|HasCategory| (-721) (QUOTE (-363))) (|HasCategory| (-721) (|%list| (QUOTE -298) (QUOTE (-721)) (QUOTE (-721)))) (|HasCategory| (-721) (|%list| (QUOTE -321) (QUOTE 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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}."))) ((-4511 . T)) @@ -2808,7 +2808,7 @@ NIL ((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: ?? 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T)) NIL (-734 R |Rep|) ((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\spad{frobenius(x)} \\undocumented")) (|computePowers| (((|PrimitiveArray| $)) "\\spad{computePowers()} \\undocumented")) (|pow| (((|PrimitiveArray| $)) "\\spad{pow()} \\undocumented")) (|An| (((|Vector| |#1|) $) "\\spad{An(x)} \\undocumented")) (|UnVectorise| (($ (|Vector| |#1|)) "\\spad{UnVectorise(v)} \\undocumented")) (|Vectorise| (((|Vector| |#1|) $) "\\spad{Vectorise(x)} \\undocumented")) (|lift| ((|#2| $) "\\spad{lift(x)} \\undocumented")) (|reduce| (($ |#2|) "\\spad{reduce(x)} \\undocumented")) (|modulus| ((|#2|) "\\spad{modulus()} \\undocumented")) (|setPoly| ((|#2| |#2|) "\\spad{setPoly(x)} \\undocumented"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4506 |has| |#1| (-376)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . 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(|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1184))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-240))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-735 IS E |ff|) ((|constructor| (NIL "This package \\undocumented")) (|construct| (($ |#1| |#2|) "\\spad{construct(i,e)} \\undocumented")) (|index| ((|#1| $) "\\spad{index(x)} \\undocumented")) (|exponent| ((|#2| $) "\\spad{exponent(x)} \\undocumented"))) NIL @@ -2876,7 +2876,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be \\spad{op2}. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) (-4507 . T)) ((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149)))) -(-737 R |Mod| -3626 -2165 |exactQuo|) +(-737 R |Mod| -2494 -3205 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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"))) ((-4507 . T)) NIL @@ -2888,7 +2888,7 @@ NIL ((|constructor| (NIL "The category of modules over a commutative ring. \\blankline"))) ((-4505 . T) (-4504 . T)) NIL -(-740 -3969) +(-740 -3968) ((|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]]}."))) ((-4507 . T)) NIL @@ -2924,7 +2924,7 @@ 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 -(-749 -3969 UP) +(-749 -3968 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 @@ -2943,7 +2943,7 @@ NIL (-753 |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."))) (((-4512 "*") |has| |#2| (-175)) (-4503 |has| |#2| (-571)) (-4508 |has| |#2| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#2| (QUOTE (-940))) (-2171 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2171 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4508)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-940))) (-2172 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2172 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-889 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376))) (|HasAttribute| |#2| (QUOTE -4508)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) (-754 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 @@ -3076,11 +3076,11 @@ 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 -(-787 -3969) +(-787 -3968) ((|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 -(-788 P -3969) +(-788 P -3968) ((|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''."))) NIL NIL @@ -3088,7 +3088,7 @@ NIL NIL NIL NIL -(-790 UP -3969) +(-790 UP -3968) ((|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 @@ -3104,7 +3104,7 @@ 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."))) (((-4512 "*") . T)) NIL -(-794 R -3969) +(-794 R -3968) ((|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 @@ -3124,7 +3124,7 @@ 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 gcd over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of \\spad{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},{}ts)} is an internal subroutine,{} exported only for developement.")) (|outputArgs| (((|Void|) (|String|) (|String|) |#4| |#5|) "\\axiom{outputArgs(\\spad{s1},{}\\spad{s2},{}\\spad{p},{}ts)} is an internal subroutine,{} exported only for developement.")) (|normalize| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{normalize(\\spad{p},{}ts)} normalizes \\axiom{\\spad{p}} \\spad{w}.\\spad{r}.\\spad{t} \\spad{ts}.")) (|normalizedAssociate| ((|#4| |#4| |#5|) "\\axiom{normalizedAssociate(\\spad{p},{}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},{}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 -(-799 -3969 |ExtF| |SUEx| |ExtP| |n|) +(-799 -3968 |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 @@ -3139,11 +3139,11 @@ NIL (-802 R |VarSet|) ((|constructor| (NIL "A post-facto extension for \\axiomType{SMP} in order to speed up operations related to pseudo-division and gcd. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . 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((|constructor| (NIL "A post-facto extension for \\axiomType{SUP} in order to speed up operations related to pseudo-division and gcd for both \\axiomType{SUP} and,{} consequently,{} \\axiomType{NSMP}.")) (|halfExtendedResultant2| (((|Record| (|:| |resultant| |#1|) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedResultant2}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} cb]}")) (|halfExtendedResultant1| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedResultant1}(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca]} such that \\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{} cb]}")) (|extendedResultant| (((|Record| (|:| |resultant| |#1|) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedResultant(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}ca,{}cb]} such that \\axiom{\\spad{r}} is the resultant of \\axiom{a} and \\axiom{\\spad{b}} and \\axiom{\\spad{r} = ca * a + cb * \\spad{b}}")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}cb]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} cb]}")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} such that \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} cb]}")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{} cb]} such that \\axiom{\\spad{g}} is a gcd of \\axiom{a} and \\axiom{\\spad{b}} in \\axiom{R^(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{g} = ca * a + cb * \\spad{b}}")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns \\axiom{resultant(a,{}\\spad{b})} if \\axiom{a} and \\axiom{\\spad{b}} has no non-trivial gcd in \\axiom{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| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{c^n * a = q*b +r} and \\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} where \\axiom{\\spad{n} + \\spad{g} = max(0,{} degree(\\spad{b}) - degree(a) + 1)}.")) (|lazyPseudoRemainder| (($ $ $) "\\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|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{r},{}\\spad{c},{}\\spad{n}]} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{c^n * a - \\spad{r}} where \\axiom{\\spad{c}} is \\axiom{leadingCoefficient(\\spad{b})} and \\axiom{\\spad{n}} is as small as possible with the previous properties.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} returns \\axiom{\\spad{r}} such that \\axiom{\\spad{r}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{b}} divides \\axiom{a -r} where \\axiom{\\spad{b}} is monic.")) (|fmecg| (($ $ (|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)}"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4506 |has| |#1| (-376)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-940))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| 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(|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-240))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-940))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1184))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-240))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-804 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 @@ -3219,8 +3219,8 @@ NIL (-822 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}."))) ((-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (-2171 (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2171 (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-1092))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) -(-823 -2171 R OS S) +((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (-2172 (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2172 (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-1092))) (|HasCategory| |#1| (QUOTE (-559))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1028 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) +(-823 -2172 R OS S) ((|constructor| (NIL "\\spad{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 @@ -3228,11 +3228,11 @@ NIL ((|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 -(-825 R -3969 L) +(-825 R -3968 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}'s form a basis for the solutions of \\spad{op y = 0}."))) NIL NIL -(-826 R -3969) +(-826 R -3968) ((|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 @@ -3240,7 +3240,7 @@ NIL ((|constructor| (NIL "\\axiom{ODEIntensityFunctionsTable()} provides a dynamic table and a set of functions to store details found out about sets of ODE'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 -(-828 R -3969) +(-828 R -3968) ((|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 @@ -3248,11 +3248,11 @@ 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'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'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'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'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'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'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'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's and calculating a measure of compatibility of each routine to these attributes. \\blankline It then calls the resulting `best' routine."))) NIL NIL -(-830 -3969 UP UPUP R) +(-830 -3968 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 -(-831 -3969 UP L LQ) +(-831 -3968 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}'s are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}'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}'s are the affine singularities of \\spad{op},{} and the \\spad{e_i}'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}'s are the affine singularities of \\spad{op} above the roots of \\spad{p},{} and the \\spad{e_i}'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}'s are the affine singularities of \\spad{op},{} and the \\spad{e_i}'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 @@ -3260,38 +3260,38 @@ 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 -(-833 -3969 UP L LQ) +(-833 -3968 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}'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)}'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}'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}'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 mj for some \\spad{j},{} and its leading coefficient is then a zero of 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 {gcd(\\spad{d},{}\\spad{q}) = 1}."))) NIL NIL -(-834 -3969 UP) +(-834 -3968 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}'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}'s form a basis for the rational solutions of the homogeneous equation."))) NIL NIL -(-835 -3969 L UP A LO) +(-835 -3968 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 -(-836 -3969 UP) +(-836 -3968 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}'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 ++ part of any rational solution of the associated Riccati equation of \\spad{op y = 0} must be one of the \\spad{fi}'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)))) -(-837 -3969 LO) +(-837 -3968 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 -(-838 -3969 LODO) +(-838 -3968 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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(-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-2172 (|HasCategory| |#2| (QUOTE (-1081))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasAttribute| |#2| (QUOTE -4507)) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209))))) (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))))) (-840 R) ((|constructor| (NIL "\\spadtype{OrderlyDifferentialPolynomial} implements an ordinary differential polynomial ring in arbitrary number of differential indeterminates,{} with coefficients in a ring. The ranking on the differential indeterminate is orderly. This is analogous to the domain \\spadtype{Polynomial}. \\blankline"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-940))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-940))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-842 (-1209)) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-841 |Kernels| R |var|) ((|constructor| (NIL "This constructor produces an ordinary differential ring from a partial differential ring by specifying a variable."))) (((-4512 "*") |has| |#2| (-376)) (-4503 |has| |#2| (-376)) (-4508 |has| |#2| (-376)) (-4502 |has| |#2| (-376)) (-4507 . T) (-4505 . T) (-4504 . T)) @@ -3355,7 +3355,7 @@ NIL (-856 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."))) ((-4507 |has| |#1| (-871))) -((|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-21))) (-2171 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2171 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) +((|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-21))) (-2172 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2172 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) (-857 R S) ((|constructor| (NIL "Lifting of maps to one-point completions. Date Created: 4 Oct 1989 Date Last Updated: 4 Oct 1989")) (|map| (((|OnePointCompletion| |#2|) (|Mapping| |#2| |#1|) (|OnePointCompletion| |#1|) (|OnePointCompletion| |#2|)) "\\spad{map(f, r, i)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(infinity) = \\spad{i}.") (((|OnePointCompletion| |#2|) (|Mapping| |#2| |#1|) (|OnePointCompletion| |#1|)) "\\spad{map(f, r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(infinity) = infinity."))) NIL @@ -3395,7 +3395,7 @@ NIL (-866 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."))) ((-4507 |has| |#1| (-871))) -((|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-21))) (-2171 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2171 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) +((|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-21))) (-2172 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2172 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559)))) (-867 R S) ((|constructor| (NIL "Lifting of maps to ordered completions. Date Created: 4 Oct 1989 Date Last Updated: 4 Oct 1989")) (|map| (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{map(f, r, p, m)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = \\spad{p} and that \\spad{f}(minusInfinity) = \\spad{m}.") (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|)) "\\spad{map(f, r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = plusInfinity and that \\spad{f}(minusInfinity) = minusInfinity."))) NIL @@ -3444,11 +3444,11 @@ 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{\\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{\\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{\\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{\\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 (-376))) (|HasCategory| |#1| (QUOTE (-571)))) -(-879 R |sigma| -3234) +(-879 R |sigma| -3233) ((|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."))) ((-4504 . T) (-4505 . T) (-4507 . T)) ((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-376)))) -(-880 |x| R |sigma| -3234) +(-880 |x| R |sigma| -3233) ((|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}."))) ((-4504 . T) (-4505 . T) (-4507 . T)) ((|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-376)))) @@ -3515,15 +3515,15 @@ NIL (-896 |p|) ((|constructor| (NIL "Stream-based implementation of 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)."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-894 |#1|) (QUOTE (-940))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-894 |#1|) (QUOTE (-147))) (|HasCategory| (-894 |#1|) (QUOTE (-149))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-894 |#1|) (QUOTE (-1052))) (|HasCategory| (-894 |#1|) (QUOTE (-844))) (|HasCategory| (-894 |#1|) (QUOTE (-872))) (-2171 (|HasCategory| (-894 |#1|) (QUOTE (-844))) (|HasCategory| (-894 |#1|) (QUOTE (-872)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-894 |#1|) (QUOTE (-1184))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-894 |#1|) (QUOTE (-239))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-894 |#1|) (QUOTE (-240))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -528) (QUOTE (-1209)) (|%list| (QUOTE -894) (|devaluate| |#1|)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -894) (|devaluate| |#1|)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -894) (|devaluate| |#1|)) (|%list| (QUOTE -894) (|devaluate| |#1|)))) (|HasCategory| (-894 |#1|) (QUOTE (-319))) (|HasCategory| (-894 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-894 |#1|) (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-894 |#1|) (QUOTE (-940)))) (|HasCategory| (-894 |#1|) (QUOTE (-147))))) +((|HasCategory| (-894 |#1|) (QUOTE (-940))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-894 |#1|) (QUOTE (-147))) (|HasCategory| (-894 |#1|) (QUOTE (-149))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-894 |#1|) (QUOTE (-1052))) (|HasCategory| (-894 |#1|) (QUOTE (-844))) (|HasCategory| (-894 |#1|) (QUOTE (-872))) (-2172 (|HasCategory| (-894 |#1|) (QUOTE (-844))) (|HasCategory| (-894 |#1|) (QUOTE (-872)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-894 |#1|) (QUOTE (-1184))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| (-894 |#1|) (QUOTE (-239))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-894 |#1|) (QUOTE (-240))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -528) (QUOTE (-1209)) (|%list| (QUOTE -894) (|devaluate| |#1|)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -321) (|%list| (QUOTE -894) (|devaluate| |#1|)))) (|HasCategory| (-894 |#1|) (|%list| (QUOTE -298) (|%list| (QUOTE -894) (|devaluate| |#1|)) (|%list| (QUOTE -894) (|devaluate| |#1|)))) (|HasCategory| (-894 |#1|) (QUOTE (-319))) (|HasCategory| (-894 |#1|) (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-894 |#1|) (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-894 |#1|) (QUOTE (-940)))) (|HasCategory| (-894 |#1|) (QUOTE (-147))))) (-897 |p| PADIC) ((|constructor| (NIL "This is the category of stream-based representations of 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)}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#2| (QUOTE (-940))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1052))) (|HasCategory| |#2| (QUOTE (-844))) (|HasCategory| |#2| (QUOTE (-872))) (-2171 (|HasCategory| |#2| (QUOTE (-844))) (|HasCategory| |#2| (QUOTE (-872)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1184))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -298) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) +((|HasCategory| |#2| (QUOTE (-940))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-1052))) (|HasCategory| |#2| (QUOTE (-844))) (|HasCategory| |#2| (QUOTE (-872))) (-2172 (|HasCategory| |#2| (QUOTE (-844))) (|HasCategory| |#2| (QUOTE (-872)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1184))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -298) (|devaluate| |#2|) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-559))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) (-898 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 `p'.")) (|first| ((|#1| $) "\\spad{first(p)} extracts the first component of `p'.")) (|construct| (($ |#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 `s' and `t'."))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))))) (-899) ((|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'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's lowest value."))) NIL @@ -3624,7 +3624,7 @@ 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 -(-924 UP -3969) +(-924 UP -3968) ((|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 @@ -3655,11 +3655,11 @@ NIL (-931 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})'s")) (|ptree| (($ $ $) "\\spad{ptree(x,y)} \\undocumented") (($ |#1|) "\\spad{ptree(s)} is a leaf? pendant tree"))) NIL -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-932 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|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation."))) ((-4507 . T)) -((-2171 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872)))) +((-2172 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872)))) (-933 |n| R) ((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} Ch. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of x:\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} ch.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$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 @@ -3692,7 +3692,7 @@ NIL ((|constructor| (NIL "This is the category of domains that know \"enough\" about themselves in order to factor univariate polynomials over themselves. This will be used in future releases for supporting factorization over finitely generated coefficient fields,{} it is not yet available in the current release of axiom.")) (|charthRoot| (((|Maybe| $) $) "\\spad{charthRoot(r)} returns the \\spad{p}\\spad{-}th root of \\spad{r},{} or \\spad{nothing} if none exists in the domain.")) (|conditionP| (((|Union| (|Vector| $) "failed") (|Matrix| $)) "\\spad{conditionP(m)} returns a vector of elements,{} not all zero,{} whose \\spad{p}\\spad{-}th powers (\\spad{p} is the characteristic of the domain) are a solution of the homogenous linear system represented by \\spad{m},{} or \"failed\" is there is no such vector.")) (|solveLinearPolynomialEquation| (((|Union| (|List| (|SparseUnivariatePolynomial| $)) "failed") (|List| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\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}'s exists.")) (|gcdPolynomial| (((|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $) (|SparseUnivariatePolynomial| $)) "\\spad{gcdPolynomial(p,q)} returns the gcd of the univariate polynomials \\spad{p} qnd \\spad{q}.")) (|factorSquareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorSquareFreePolynomial(p)} factors the univariate polynomial \\spad{p} into irreducibles where \\spad{p} is known to be square free and primitive with respect to its main variable.")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} returns the factorization into irreducibles of the univariate polynomial \\spad{p}.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} returns the square-free factorization of the univariate polynomial \\spad{p}."))) ((-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL -(-941 R0 -3969 UP UPUP R) +(-941 R0 -3968 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 @@ -3720,7 +3720,7 @@ 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'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's Cube acting on integers {\\em 10*i+j} for {\\em 1 <= i <= 6},{} {\\em 1 <= j <= 8}. The faces of Rubik'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's Cube acting on integers 10*i+j for 1 <= \\spad{i} <= 6,{} 1 <= \\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 -(-948 -3969) +(-948 -3968) ((|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 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 @@ -3736,11 +3736,11 @@ NIL ((|constructor| (NIL "The category of constructive principal ideal domains,{} \\spadignore{i.e.} where a single generator can be constructively found for any ideal given by a finite set of generators. Note that this constructive definition only implies that finitely generated ideals are principal. It is not clear what we would mean by an infinitely generated ideal.")) (|expressIdealMember| (((|Maybe| (|List| $)) (|List| $) $) "\\spad{expressIdealMember([f1,...,fn],h)} returns a representation of \\spad{h} as a linear combination of the \\spad{fi} or \\spad{nothing} if \\spad{h} is not in the ideal generated by the \\spad{fi}.")) (|principalIdeal| (((|Record| (|:| |coef| (|List| $)) (|:| |generator| $)) (|List| $)) "\\spad{principalIdeal([f1,...,fn])} returns a record whose generator component is a generator of the ideal generated by \\spad{[f1,...,fn]} whose coef component satisfies \\spad{generator = sum (input.i * coef.i)}"))) ((-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL -(-952 |xx| -3969) +(-952 |xx| -3968) ((|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 -(-953 -3969 P) +(-953 -3968 P) ((|constructor| (NIL "This package exports interpolation algorithms")) (|LagrangeInterpolation| ((|#2| (|List| |#1|) (|List| |#1|)) "\\spad{LagrangeInterpolation(l1,l2)} \\undocumented"))) NIL NIL @@ -3768,7 +3768,7 @@ NIL ((|constructor| (NIL "Attaching assertions to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|multiple| (((|Expression| (|Integer|)) (|Symbol|)) "\\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.")) (|optional| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{optional(x)} tells the pattern matcher that \\spad{x} can match an identity (0 in a sum,{} 1 in a product or exponentiation)..")) (|constant| (((|Expression| (|Integer|)) (|Symbol|)) "\\spad{constant(x)} tells the pattern matcher that \\spad{x} should match only the symbol 'x and no other quantity.")) (|assert| (((|Expression| (|Integer|)) (|Symbol|) (|Identifier|)) "\\spad{assert(x, s)} makes the assertion \\spad{s} about \\spad{x}."))) NIL NIL -(-960 R -3969) +(-960 R -3968) ((|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 '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 @@ -3776,7 +3776,7 @@ 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 -(-962 S R -3969) +(-962 S R -3968) ((|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 @@ -3800,7 +3800,7 @@ NIL ((|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 fn to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x, foo)} attaches the predicate foo to \\spad{x}."))) NIL NIL -(-968 R -3969 -1619) +(-968 R -3968 -1619) ((|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 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 @@ -3823,7 +3823,7 @@ NIL (-973 R) ((|constructor| (NIL "This domain implements points in coordinate space"))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-974 |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 @@ -3835,7 +3835,7 @@ NIL (-976 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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-940))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-940))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1209) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-977 R S) ((|constructor| (NIL "\\indented{2}{This package takes a mapping between coefficient rings,{} and lifts} it to a mapping between polynomials over those rings.")) (|map| (((|Polynomial| |#2|) (|Mapping| |#2| |#1|) (|Polynomial| |#1|)) "\\spad{map(f, p)} produces a new polynomial as a result of applying the function \\spad{f} to every coefficient of the polynomial \\spad{p}."))) NIL @@ -3852,7 +3852,7 @@ 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 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 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 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 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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) NIL -(-981 E V R P -3969) +(-981 E V R P -3968) ((|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},{}...,{}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 @@ -3860,7 +3860,7 @@ NIL ((|constructor| (NIL "This package provides a very general map function,{} which given a set \\spad{S} and polynomials over \\spad{R} with maps from the variables into \\spad{S} and the coefficients into \\spad{S},{} maps polynomials into \\spad{S}. \\spad{S} is assumed to support \\spad{+},{} \\spad{*} and \\spad{**}.")) (|map| ((|#5| (|Mapping| |#5| |#2|) (|Mapping| |#5| |#3|) |#4|) "\\spad{map(varmap, coefmap, p)} takes a \\spad{varmap},{} a mapping from the variables of polynomial \\spad{p} into \\spad{S},{} \\spad{coefmap},{} a mapping from coefficients of \\spad{p} into \\spad{S},{} and \\spad{p},{} and produces a member of \\spad{S} using the corresponding arithmetic. in \\spad{S}"))) NIL NIL -(-983 E V R P -3969) +(-983 E V R P -3968) ((|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| $) "\\spad{numer(x)} \\undocumented"))) NIL ((|HasCategory| |#3| (QUOTE (-466)))) @@ -3875,7 +3875,7 @@ NIL (-986 R E) ((|constructor| (NIL "This domain represents generalized polynomials with coefficients (from a not necessarily commutative ring),{} and terms indexed by their exponents (from an arbitrary ordered abelian monoid). This type is used,{} for example,{} by the \\spadtype{DistributedMultivariatePolynomial} domain where the exponent domain is a direct product of non negative integers.")) (|canonicalUnitNormal| ((|attribute|) "canonicalUnitNormal guarantees that the function unitCanonical returns the same representative for all associates of any particular element.")) (|fmecg| (($ $ |#2| |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-133)))) (|HasAttribute| |#1| (QUOTE -4508))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-133)))) (|HasAttribute| |#1| (QUOTE -4508))) (-987 R L) ((|constructor| (NIL "\\spadtype{PrecomputedAssociatedEquations} stores some generic precomputations which speed up the computations of the associated equations needed for factoring operators.")) (|firstUncouplingMatrix| (((|Union| (|Matrix| |#1|) "failed") |#2| (|PositiveInteger|)) "\\spad{firstUncouplingMatrix(op, m)} returns the matrix A such that \\spad{A w = (W',W'',...,W^N)} in the corresponding associated equations for right-factors of order \\spad{m} of \\spad{op}. Returns \"failed\" if the matrix A has not been precomputed for the particular combination \\spad{degree(L), m}."))) NIL @@ -3883,7 +3883,7 @@ NIL (-988 S) ((|constructor| (NIL "\\indented{1}{This provides a fast array type with no bound checking on elt's.} Minimum index is 0 in this type,{} cannot be changed"))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-989 A B) ((|constructor| (NIL "\\indented{1}{This package provides tools for operating on primitive arrays} with unary and binary functions involving different underlying types")) (|map| (((|PrimitiveArray| |#2|) (|Mapping| |#2| |#1|) (|PrimitiveArray| |#1|)) "\\spad{map(f,a)} applies function \\spad{f} to each member of primitive array \\spad{a} resulting in a new primitive array over a possibly different underlying domain.")) (|reduce| ((|#2| (|Mapping| |#2| |#1| |#2|) (|PrimitiveArray| |#1|) |#2|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the primitive array \\spad{a} and an accumulant initialized to \\spad{r}. For example,{} \\spad{reduce(_+\\$Integer,[1,2,3],0)} does \\spad{3+(2+(1+0))}. Note: third argument \\spad{r} may be regarded as the identity element for the function \\spad{f}.")) (|scan| (((|PrimitiveArray| |#2|) (|Mapping| |#2| |#1| |#2|) (|PrimitiveArray| |#1|) |#2|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-arrays \\spad{x} of primitive array \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad{[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}."))) NIL @@ -3892,7 +3892,7 @@ NIL ((|constructor| (NIL "Category for the functions defined by integrals.")) (|integral| (($ $ (|SegmentBinding| $)) "\\spad{integral(f, x = a..b)} returns the formal definite integral of \\spad{f} dx for \\spad{x} between \\spad{a} and \\spad{b}.") (($ $ (|Symbol|)) "\\spad{integral(f, x)} returns the formal integral of \\spad{f} dx."))) NIL NIL -(-991 -3969) +(-991 -3968) ((|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}'s are the defining polynomials for the \\spad{ai}'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}'s are the defining polynomials for the \\spad{ai}'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}'s are the defining polynomials for the \\spad{ai}'s. The \\spad{p2} may involve \\spad{a1},{} but \\spad{p1} must not involve \\spad{a2}. This operation uses \\spadfun{resultant}."))) NIL NIL @@ -3907,7 +3907,7 @@ NIL (-994 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"))) ((-4507 -12 (|has| |#2| (-487)) (|has| |#1| (-487)))) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817)))) (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-872))))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817))))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748))))) (-12 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#2| (QUOTE (-381)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817))))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-872))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817)))) (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-872))))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817))))) (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817))))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748))))) (-12 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#2| (QUOTE (-381)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-21)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-487))) (|HasCategory| |#2| (QUOTE (-487)))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-817))) (|HasCategory| |#2| (QUOTE (-817))))) (-12 (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-23)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-133)))) (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-872))))) (-995) ((|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 `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 @@ -3996,7 +3996,7 @@ 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 -(-1017 K R UP -3969) +(-1017 K R UP -3968) ((|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 @@ -4043,7 +4043,7 @@ NIL (-1028 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.}"))) ((-4503 |has| |#1| (-302)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-376))) (-2171 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1092))) (|HasCategory| |#1| (QUOTE (-559)))) +((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-376))) (-2172 (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-302))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -528) (QUOTE (-1209)) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))) (|HasCategory| |#1| (|%list| (QUOTE -298) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-1092))) (|HasCategory| |#1| (QUOTE (-559)))) (-1029 S R) ((|constructor| (NIL "\\spadtype{QuaternionCategory} describes the category of quaternions and implements functions that are not representation specific.")) (|rationalIfCan| (((|Union| (|Fraction| (|Integer|)) "failed") $) "\\spad{rationalIfCan(q)} returns \\spad{q} as a rational number,{} or \"failed\" if this is not possible. Note: if \\spad{rational?(q)} is \\spad{true},{} the conversion can be done and the rational number will be returned.")) (|rational| (((|Fraction| (|Integer|)) $) "\\spad{rational(q)} tries to convert \\spad{q} into a rational number. Error: if this is not possible. If \\spad{rational?(q)} is \\spad{true},{} the conversion will be done and the rational number returned.")) (|rational?| (((|Boolean|) $) "\\spad{rational?(q)} returns {\\it \\spad{true}} if all the imaginary parts of \\spad{q} are zero and the real part can be converted into a rational number,{} and {\\it \\spad{false}} otherwise.")) (|abs| ((|#2| $) "\\spad{abs(q)} computes the absolute value of quaternion \\spad{q} (sqrt of norm).")) (|real| ((|#2| $) "\\spad{real(q)} extracts the real part of quaternion \\spad{q}.")) (|quatern| (($ |#2| |#2| |#2| |#2|) "\\spad{quatern(r,i,j,k)} constructs a quaternion from scalars.")) (|norm| ((|#2| $) "\\spad{norm(q)} computes the norm of \\spad{q} (the sum of the squares of the components).")) (|imagK| ((|#2| $) "\\spad{imagK(q)} extracts the imaginary \\spad{k} part of quaternion \\spad{q}.")) (|imagJ| ((|#2| $) "\\spad{imagJ(q)} extracts the imaginary \\spad{j} part of quaternion \\spad{q}.")) (|imagI| ((|#2| $) "\\spad{imagI(q)} extracts the imaginary \\spad{i} part of quaternion \\spad{q}.")) (|conjugate| (($ $) "\\spad{conjugate(q)} negates the imaginary parts of quaternion \\spad{q}."))) NIL @@ -4059,7 +4059,7 @@ NIL (-1032 S) ((|constructor| (NIL "Linked List implementation of a Queue")) (|queue| (($ (|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}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1033 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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL @@ -4068,14 +4068,14 @@ NIL ((|constructor| (NIL "The \\spad{RadicalCategory} is a model for the rational numbers.")) (** (($ $ (|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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}."))) NIL NIL -(-1035 -3969 UP UPUP |radicnd| |n|) +(-1035 -3968 UP UPUP |radicnd| |n|) ((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x})."))) ((-4503 |has| (-421 |#2|) (-376)) (-4508 |has| (-421 |#2|) (-376)) (-4502 |has| (-421 |#2|) (-376)) ((-4512 "*") . 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(|fractRadix| (($ (|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."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2171 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) +((|HasCategory| (-560) (QUOTE (-940))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-149))) (|HasCategory| (-560) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-1052))) (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872))) (-2172 (|HasCategory| (-560) (QUOTE (-844))) (|HasCategory| (-560) (QUOTE (-872)))) (|HasCategory| (-560) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-1184))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| (-560) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| (-560) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| (-560) (QUOTE (-239))) (|HasCategory| (-560) (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| (-560) (QUOTE (-240))) (|HasCategory| (-560) (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| (-560) (|%list| (QUOTE -528) (QUOTE (-1209)) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -321) (QUOTE (-560)))) (|HasCategory| (-560) (|%list| (QUOTE -298) (QUOTE (-560)) (QUOTE (-560)))) (|HasCategory| (-560) (QUOTE (-319))) (|HasCategory| (-560) (QUOTE (-559))) (|HasCategory| (-560) (|%list| (QUOTE -660) (QUOTE (-560)))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| (-560) (QUOTE (-940)))) (|HasCategory| (-560) (QUOTE (-147))))) (-1037) ((|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 @@ -4108,19 +4108,19 @@ 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} ** (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} ** (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} ** (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} ** (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}}"))) ((-4503 . T) (-4508 . T) (-4502 . T) (-4505 . T) (-4504 . T) ((-4512 "*") . T) (-4507 . T)) NIL -(-1045 R -3969) +(-1045 R -3968) ((|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 -(-1046 R -3969) +(-1046 R -3968) ((|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 -(-1047 -3969 UP) +(-1047 -3968 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 -(-1048 -3969 UP) +(-1048 -3968 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 @@ -4155,8 +4155,8 @@ NIL (-1056 |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"))) ((-4503 . T) (-4508 . T) (-4502 . T) (-4505 . T) (-4504 . T) ((-4512 "*") . T) (-4507 . T)) -((-2171 (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1070) (QUOTE (-560))))) -(-1057 -3969 L) +((-2172 (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-421 (-560)) (|%list| (QUOTE -1070) (QUOTE (-560))))) +(-1057 -3968 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 @@ -4192,14 +4192,14 @@ 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 -(-1066 -3969 |Expon| |VarSet| |FPol| |LFPol|) +(-1066 -3968 |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"))) (((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL (-1067) ((|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.}"))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1209))) (|%list| (QUOTE |:|) (QUOTE -1922) (QUOTE (-51))))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-1209) (QUOTE (-872))) (|HasCategory| (-51) (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1209))) (|%list| (QUOTE |:|) (QUOTE -1922) (QUOTE (-51))))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-1209) (QUOTE (-872))) (|HasCategory| (-51) (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102)))) (-1068) ((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'."))) NIL @@ -4256,7 +4256,7 @@ NIL ((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists."))) ((-4507 . T)) NIL -(-1082 |xx| -3969) +(-1082 |xx| -3968) ((|constructor| (NIL "This package exports rational interpolation algorithms"))) NIL NIL @@ -4275,7 +4275,7 @@ NIL (-1086 |m| |n| R) ((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) ((-4510 . T) (-4505 . T) (-4504 . T)) -((|HasCategory| |#3| (QUOTE (-175))) (-2171 (-12 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-376)))) (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (QUOTE (-319))) (|HasCategory| |#3| (QUOTE (-571))) (-12 (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (|%list| (QUOTE -632) (QUOTE (-888))))) +((|HasCategory| |#3| (QUOTE (-175))) (-2172 (-12 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (|HasCategory| |#3| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-376)))) (|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (QUOTE (-319))) (|HasCategory| |#3| (QUOTE (-571))) (-12 (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|)))) (|HasCategory| |#3| (QUOTE (-102))) (|HasCategory| |#3| (|%list| (QUOTE -632) (QUOTE (-888))))) (-1087 |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 @@ -4311,7 +4311,7 @@ NIL (-1095) ((|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| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE's")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE's")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,y)} merges two tables \\spad{x} and \\spad{y}"))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1209))) (|%list| (QUOTE |:|) (QUOTE -1922) (QUOTE (-51))))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-1209) (QUOTE (-872))) (|HasCategory| (-51) (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1209))) (|%list| (QUOTE |:|) (QUOTE -1922) (QUOTE (-51))))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-1133))) (|HasCategory| (-1209) (QUOTE (-872))) (|HasCategory| (-51) (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (QUOTE (-102)))) (-1096 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| $) "\\axiom{gcd(\\spad{r},{}\\spad{p})} returns the gcd of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{\\spad{nextsubResultant2}(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{\\spad{next_sousResultant2}}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{\\spad{LazardQuotient2}(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo 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 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{\\spad{halfExtendedSubResultantGcd2}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}cb]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}cb]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{\\spad{halfExtendedSubResultantGcd1}(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}cb]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}cb,{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + cb * cb = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a gcd of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#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!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a gcd-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|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)*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)*r = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)*r = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#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},{}lp)} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{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},{}lp)} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{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},{}lp)} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{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},{}lp)} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{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 @@ -4356,7 +4356,7 @@ NIL ((|constructor| (NIL "This is the datatype of OpenAxiom runtime values. It exists solely for internal purposes.")) (|eq| (((|Boolean|) $ $) "\\spad{eq(x,y)} holds if both values \\spad{x} and \\spad{y} resides at the same address in memory."))) NIL NIL -(-1107 |Base| R -3969) +(-1107 |Base| R -3968) ((|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},{}...,{}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 @@ -4364,7 +4364,7 @@ NIL ((|constructor| (NIL "This domain implements named rules")) (|name| (((|Symbol|) $) "\\spad{name(x)} returns the symbol"))) NIL NIL -(-1109 |Base| R -3969) +(-1109 |Base| R -3968) ((|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 @@ -4375,7 +4375,7 @@ NIL (-1111 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."))) ((-4503 |has| |#1| (-376)) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-363))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))))) +((|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-363))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-363)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-381))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-363))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-363)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-12 (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-376)))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (-1112 UP SAE UPA) ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in an algebraic extension of the rational numbers (\\spadtype{Fraction Integer}).")) (|factor| (((|Factored| |#3|) |#3|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p}."))) NIL @@ -4407,7 +4407,7 @@ NIL (-1119 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"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-940))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-940))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1120 (-1209)) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-240))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-1120 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 @@ -4447,7 +4447,7 @@ NIL (-1129 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)}}"))) ((-4510 . T) (-4500 . T) (-4511 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-1130 A S) ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#2| $) "\\spad{union(x,u)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{x},{}\\spad{u})} returns a copy of \\spad{u}.") (($ $ |#2|) "\\spad{union(u,x)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{u},{}\\spad{x})} returns a copy of \\spad{u}.") (($ $ $) "\\spad{union(u,v)} returns the set aggregate of elements which are members of either set aggregate \\spad{u} or \\spad{v}.")) (|subset?| (((|Boolean|) $ $) "\\spad{subset?(u,v)} tests if \\spad{u} is a subset of \\spad{v}. Note: equivalent to \\axiom{reduce(and,{}{member?(\\spad{x},{}\\spad{v}) for \\spad{x} in \\spad{u}},{}\\spad{true},{}\\spad{false})}.")) (|symmetricDifference| (($ $ $) "\\spad{symmetricDifference(u,v)} returns the set aggregate of elements \\spad{x} which are members of set aggregate \\spad{u} or set aggregate \\spad{v} but not both. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{symmetricDifference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: \\axiom{symmetricDifference(\\spad{u},{}\\spad{v}) = union(difference(\\spad{u},{}\\spad{v}),{}difference(\\spad{v},{}\\spad{u}))}")) (|difference| (($ $ |#2|) "\\spad{difference(u,x)} returns the set aggregate \\spad{u} with element \\spad{x} removed. If \\spad{u} does not contain \\spad{x},{} a copy of \\spad{u} is returned. Note: \\axiom{difference(\\spad{s},{} \\spad{x}) = difference(\\spad{s},{} {\\spad{x}})}.") (($ $ $) "\\spad{difference(u,v)} returns the set aggregate \\spad{w} consisting of elements in set aggregate \\spad{u} but not in set aggregate \\spad{v}. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{difference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: equivalent to the notation (not currently supported) \\axiom{{\\spad{x} for \\spad{x} in \\spad{u} | not member?(\\spad{x},{}\\spad{v})}}.")) (|intersect| (($ $ $) "\\spad{intersect(u,v)} returns the set aggregate \\spad{w} consisting of elements common to both set aggregates \\spad{u} and \\spad{v}. Note: equivalent to the notation (not currently supported) {\\spad{x} for \\spad{x} in \\spad{u} | member?(\\spad{x},{}\\spad{v})}.")) (|set| (($ (|List| |#2|)) "\\spad{set([x,y,...,z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.") (($) "\\spad{set()}\\$\\spad{D} creates an empty set aggregate of type \\spad{D}.")) (|brace| (($ (|List| |#2|)) "\\spad{brace([x,y,...,z])} creates a set aggregate containing items \\spad{x},{}\\spad{y},{}...,{}\\spad{z}. This form is considered obsolete. Use \\axiomFun{set} instead.") (($) "\\spad{brace()}\\$\\spad{D} (otherwise written {}\\$\\spad{D}) creates an empty set aggregate of type \\spad{D}. This form is considered obsolete. Use \\axiomFun{set} instead.")) (|part?| (((|Boolean|) $ $) "\\spad{s} < \\spad{t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) NIL @@ -4511,7 +4511,7 @@ NIL (-1145 |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 \\spad{dim1} parameter specifies the length of the first block. The ordering is lexicographic between the blocks but acts like \\spadtype{HomogeneousDirectProduct} within each block. 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(|HasCategory| |#3| (QUOTE (-102))) (-12 (|HasCategory| |#3| (QUOTE (-1133))) (|HasCategory| |#3| (|%list| (QUOTE -321) (|devaluate| |#3|))))) (-1146 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 c_{+}-c_{-} where c_{+} is the number of real roots of \\spad{p1} with \\spad{p2>0} and c_{-} is the number of real roots of \\spad{p1} with \\spad{p2<0}. If \\spad{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 c_{+}-c_{-} where c_{+} is the number of real roots of \\spad{p1} with \\spad{p2>0} and c_{-} is the number of real roots of \\spad{p1} with \\spad{p2<0}. If \\spad{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 @@ -4524,7 +4524,7 @@ 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 `s'.")) (|name| (((|Identifier|) $) "\\spad{name(s)} returns the name of the signature `s'.")) (|signatureAst| (($ (|Identifier|) (|Signature|)) "\\spad{signatureAst(n,s,t)} builds the signature AST n: \\spad{s} -> \\spad{t}"))) NIL NIL -(-1149 R -3969) +(-1149 R -3968) ((|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 @@ -4559,16 +4559,16 @@ NIL (-1157 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."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-940))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2171 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) +((|HasCategory| |#1| (QUOTE (-940))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#1| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-376))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-1158 |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 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| $) "\\spad{smp*ts} multiplies a TaylorSeries by a monomial SMP.")) (|coerce| (($ |#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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) (-1159 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}"))) ((-4511 . T) (-4510 . T)) NIL -(-1160 UP -3969) +(-1160 UP -3968) ((|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 @@ -4623,11 +4623,11 @@ NIL (-1173 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,{}ls,{}sub?)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in 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,{}ls)} returns \\axiom{a} where the children list of \\axiom{\\spad{l}} has been set to \\axiom{[[\\spad{s}]\\$\\% for \\spad{s} in 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|))) $) "\\axiom{result(a)} where \\axiom{ls} is the leaves list of \\axiom{a} returns \\axiom{[[value(\\spad{s}),{}condition(\\spad{s})]\\$VT for \\spad{s} in 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},{}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 ls]}.") (($ |#1| |#2| (|List| (|SplittingNode| |#1| |#2|))) "\\axiom{construct(\\spad{v},{}\\spad{t},{}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 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."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1172) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133))) (-2171 (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133)))) (-2171 (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-888)))) (-12 (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1172) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133))))) (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-102)))) +((-12 (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1172) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133))) (-2172 (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-102))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133)))) (-2172 (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-888)))) (-12 (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -321) (|%list| (QUOTE -1172) (|devaluate| |#1|) (|devaluate| |#2|)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-1133))))) (|HasCategory| (-1172 |#1| |#2|) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-1172 |#1| |#2|) (QUOTE (-102)))) (-1174 |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}."))) ((-4507 . T) (-4499 |has| |#2| (-6 (-4512 "*"))) (-4510 . T) (-4504 . T) (-4505 . T)) -((|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2171 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-376))) (-2171 (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) +((|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (QUOTE (-239))) (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))) (-2172 (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (QUOTE (-319))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-376))) (-2172 (|HasAttribute| |#2| (QUOTE (-4512 "*"))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-240)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-102))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#2| (QUOTE (-175)))) (-1175 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{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{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\",{}\"*\")} 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}) == 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|) $ $) "\\spad{prefix?(s,t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) == reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) NIL @@ -4651,7 +4651,7 @@ NIL (-1180 S) ((|constructor| (NIL "Linked List implementation of a Stack")) (|stack| (($ (|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}."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1181 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 @@ -4663,7 +4663,7 @@ NIL (-1183 |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."))) ((-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133)))) +((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133)))) (-1184) ((|constructor| (NIL "A class of objects which can be 'stepped through'. Repeated applications of \\spadfun{nextItem} is guaranteed never to return duplicate items and only return \"failed\" after exhausting all elements of the domain. This assumes that the sequence starts with \\spad{init()}. For infinite domains,{} repeated application of \\spadfun{nextItem} is not required to reach all possible domain elements starting from any initial element. \\blankline Conditional attributes: \\indented{2}{infinite\\tab{15}repeated \\spad{nextItem}'s are never \\spad{nothing}.}")) (|nextItem| (((|Maybe| $) $) "\\spad{nextItem(x)} returns the next item,{} or \\spad{failed} if domain is exhausted.")) (|init| (($) "\\spad{init()} chooses an initial object for stepping."))) NIL @@ -4679,7 +4679,7 @@ NIL (-1187 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."))) ((-4511 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1188 S) ((|constructor| (NIL "Functions defined on streams with entries in one set.")) (|concat| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{concat(u)} returns the left-to-right concatentation of the streams in \\spad{u}. Note: \\spad{concat(u) = reduce(concat,u)}."))) NIL @@ -4695,11 +4695,11 @@ NIL (-1191) ((|string| (($ (|DoubleFloat|)) "\\spad{string f} returns the decimal representation of \\spad{f} in a string") (($ (|Integer|)) "\\spad{string i} returns the decimal representation of \\spad{i} in a string"))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2171 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-146) (QUOTE (-872))) (-2171 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) +((-2172 (-12 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2172 (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (|HasCategory| (-146) (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-146) (QUOTE (-872))) (-2172 (|HasCategory| (-146) (QUOTE (-102))) (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-146) (QUOTE (-102))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-1192 |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1191))) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#1|)))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| (-1191) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-102)))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (QUOTE (-1191))) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#1|)))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|HasCategory| (-1191) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-102)))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-102)))) (-1193 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 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 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 @@ -4730,9 +4730,9 @@ NIL NIL (-1200 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,x,3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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(QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-147))))) +(-1201 R -3968) ((|constructor| (NIL "computes sums of top-level expressions.")) (|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n), n = a..b)} returns \\spad{f}(a) + \\spad{f}(\\spad{a+1}) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n), n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) NIL NIL @@ -4743,7 +4743,7 @@ NIL (-1203 R) ((|constructor| (NIL "This domain represents univariate polynomials over arbitrary (not necessarily commutative) coefficient rings. The variable is unspecified so that the variable displays as \\spad{?} on output. If it is necessary to specify the variable name,{} use type \\spadtype{UnivariatePolynomial}. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#1| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}")) (|outputForm| (((|OutputForm|) $ (|OutputForm|)) "\\spad{outputForm(p,var)} converts the SparseUnivariatePolynomial \\spad{p} to an output form (see \\spadtype{OutputForm}) printed as a polynomial in the output form variable."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4506 |has| |#1| (-376)) (-4508 |has| |#1| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . 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(-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-1184))) (|HasCategory| |#1| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#1| (QUOTE (-239))) (|HasCategory| |#1| (QUOTE (-240))) (|HasAttribute| |#1| (QUOTE -4508)) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))))) (-1204 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| (((|SparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|SparseUnivariatePolynomial| |#1|)) "\\spad{map(func, poly)} creates a new polynomial by applying \\spad{func} to every non-zero coefficient of the polynomial poly."))) NIL @@ -4755,11 +4755,11 @@ NIL (-1206 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Puiseux series in one variable \\indented{2}{\\spadtype{SparseUnivariatePuiseuxSeries} 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{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."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4504 . 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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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1144))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2171 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -4116) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2823) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1144))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -3076) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2822) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) (-1208) ((|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| $))) "\\spad{LT(x,y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}"))) NIL @@ -4775,7 +4775,7 @@ NIL (-1211 R) ((|constructor| (NIL "This domain implements symmetric polynomial"))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-6 -4508)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2171 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| (-1003) (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasAttribute| |#1| (QUOTE -4508))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2172 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-466))) (-12 (|HasCategory| (-1003) (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasAttribute| |#1| (QUOTE -4508))) (-1212) ((|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 @@ -4815,7 +4815,7 @@ NIL (-1221 |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}"))) ((-4510 . T) (-4511 . T)) -((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2171 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102)))) +((-12 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -3672) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1922) (|devaluate| |#2|)))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2172 (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (QUOTE (-102)))) (-1222 S) ((|constructor| (NIL "\\indented{1}{The tableau domain is for printing Young tableaux,{} and} coercions to and from List List \\spad{S} where \\spad{S} is a set.")) (|coerce| (((|OutputForm|) $) "\\spad{coerce(t)} converts a tableau \\spad{t} to an output form.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists t} converts a tableau \\spad{t} to a list of lists.")) (|tableau| (($ (|List| (|List| |#1|))) "\\spad{tableau(ll)} converts a list of lists \\spad{ll} to a tableau."))) NIL @@ -4875,7 +4875,7 @@ NIL (-1236 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| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}."))) ((-4511 . T) (-4510 . T)) -((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) +((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102)))) (-1237 S) ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL @@ -4884,7 +4884,7 @@ NIL ((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}."))) NIL NIL -(-1239 R -3969) +(-1239 R -3968) ((|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 @@ -4892,14 +4892,14 @@ 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 -(-1241 R -3969) +(-1241 R -3968) ((|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 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 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 -633) (|%list| (QUOTE -916) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -912) (|devaluate| |#1|))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (|devaluate| |#1|)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (|devaluate| |#1|))))) (-1242 |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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-147))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-376)))) (-1243 S R E V P) ((|constructor| (NIL "The category of triangular sets of multivariate polynomials with coefficients in an integral domain. Let \\axiom{\\spad{R}} be an integral domain and \\axiom{\\spad{V}} a finite ordered set of variables,{} say \\axiom{\\spad{X1} < \\spad{X2} < ... < Xn}. A set \\axiom{\\spad{S}} of polynomials in \\axiom{\\spad{R}[\\spad{X1},{}\\spad{X2},{}...,{}Xn]} is triangular if no elements of \\axiom{\\spad{S}} lies in \\axiom{\\spad{R}},{} and if two distinct elements of \\axiom{\\spad{S}} have distinct main variables. Note that the empty set is a triangular set. A triangular set is not necessarily a (lexicographical) Groebner basis and the notion of reduction related to triangular sets is based on the recursive view of polynomials. We recall this notion here and refer to [1] for more details. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a non-constant polynomial \\axiom{\\spad{Q}} if the degree of \\axiom{\\spad{P}} in the main variable of \\axiom{\\spad{Q}} is less than the main degree of \\axiom{\\spad{Q}}. A polynomial \\axiom{\\spad{P}} is reduced \\spad{w}.\\spad{r}.\\spad{t} a triangular set \\axiom{\\spad{T}} if it is reduced \\spad{w}.\\spad{r}.\\spad{t}. every polynomial of \\axiom{\\spad{T}}. \\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)}")) (|coHeight| (((|NonNegativeInteger|) $) "\\axiom{coHeight(ts)} returns \\axiom{size()\\$\\spad{V}} minus \\axiom{\\#ts}.")) (|extend| (($ $ |#5|) "\\axiom{extend(ts,{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{ts},{} according to the properties of triangular sets of the current category If the required properties do not hold an error is returned.")) (|extendIfCan| (((|Union| $ "failed") $ |#5|) "\\axiom{extendIfCan(ts,{}\\spad{p})} returns a triangular set which encodes the simple extension by \\axiom{\\spad{p}} of the extension of the base field defined by \\axiom{ts},{} according to the properties of triangular sets of the current domain. If the required properties do not hold then \"failed\" is returned. This operation encodes in some sense the properties of the triangular sets of the current category. Is is used to implement the \\axiom{construct} operation to guarantee that every triangular set build from a list of polynomials has the required properties.")) (|select| (((|Union| |#5| "failed") $ |#4|) "\\axiom{select(ts,{}\\spad{v})} returns the polynomial of \\axiom{ts} with \\axiom{\\spad{v}} as main variable,{} if any.")) (|algebraic?| (((|Boolean|) |#4| $) "\\axiom{algebraic?(\\spad{v},{}ts)} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{ts}.")) (|algebraicVariables| (((|List| |#4|) $) "\\axiom{algebraicVariables(ts)} returns the decreasingly sorted list of the main variables of the polynomials of \\axiom{ts}.")) (|rest| (((|Union| $ "failed") $) "\\axiom{rest(ts)} returns the polynomials of \\axiom{ts} with smaller main variable than \\axiom{mvar(ts)} if \\axiom{ts} is not empty,{} otherwise returns \"failed\"")) (|last| (((|Union| |#5| "failed") $) "\\axiom{last(ts)} returns the polynomial of \\axiom{ts} with smallest main variable if \\axiom{ts} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|first| (((|Union| |#5| "failed") $) "\\axiom{first(ts)} returns the polynomial of \\axiom{ts} with greatest main variable if \\axiom{ts} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|zeroSetSplitIntoTriangularSystems| (((|List| (|Record| (|:| |close| $) (|:| |open| (|List| |#5|)))) (|List| |#5|)) "\\axiom{zeroSetSplitIntoTriangularSystems(lp)} returns a list of triangular systems \\axiom{[[\\spad{ts1},{}\\spad{qs1}],{}...,{}[tsn,{}qsn]]} such that the zero set of \\axiom{lp} is the union of the closures of the \\axiom{W_i} where \\axiom{W_i} consists of the zeros of \\axiom{ts} which do not cancel any polynomial in \\axiom{qsi}.")) (|zeroSetSplit| (((|List| $) (|List| |#5|)) "\\axiom{zeroSetSplit(lp)} returns a list \\axiom{lts} of triangular sets such that the zero set of \\axiom{lp} is the union of the closures of the regular zero sets of the members of \\axiom{lts}.")) (|reduceByQuasiMonic| ((|#5| |#5| $) "\\axiom{reduceByQuasiMonic(\\spad{p},{}ts)} returns the same as \\axiom{remainder(\\spad{p},{}collectQuasiMonic(ts)).polnum}.")) (|collectQuasiMonic| (($ $) "\\axiom{collectQuasiMonic(ts)} returns the subset of \\axiom{ts} consisting of the polynomials with initial in \\axiom{\\spad{R}}.")) (|removeZero| ((|#5| |#5| $) "\\axiom{removeZero(\\spad{p},{}ts)} returns \\axiom{0} if \\axiom{\\spad{p}} reduces to \\axiom{0} by pseudo-division \\spad{w}.\\spad{r}.\\spad{t} \\axiom{ts} otherwise returns a polynomial \\axiom{\\spad{q}} computed from \\axiom{\\spad{p}} by removing any coefficient in \\axiom{\\spad{p}} reducing to \\axiom{0}.")) (|initiallyReduce| ((|#5| |#5| $) "\\axiom{initiallyReduce(\\spad{p},{}ts)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}ts)} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}.")) (|headReduce| ((|#5| |#5| $) "\\axiom{headReduce(\\spad{p},{}ts)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduce?(\\spad{r},{}ts)} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}.")) (|stronglyReduce| ((|#5| |#5| $) "\\axiom{stronglyReduce(\\spad{p},{}ts)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{stronglyReduced?(\\spad{r},{}ts)} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}.")) (|rewriteSetWithReduction| (((|List| |#5|) (|List| |#5|) $ (|Mapping| |#5| |#5| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{rewriteSetWithReduction(lp,{}ts,{}redOp,{}redOp?)} returns a list \\axiom{lq} of polynomials such that \\axiom{[reduce(\\spad{p},{}ts,{}redOp,{}redOp?) for \\spad{p} in lp]} and \\axiom{lp} have the same zeros inside the regular zero set of \\axiom{ts}. Moreover,{} for every polynomial \\axiom{\\spad{q}} in \\axiom{lq} and every polynomial \\axiom{\\spad{t}} in \\axiom{ts} \\axiom{redOp?(\\spad{q},{}\\spad{t})} holds and there exists a polynomial \\axiom{\\spad{p}} in the ideal generated by \\axiom{lp} and a product \\axiom{\\spad{h}} of \\axiom{initials(ts)} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = f*q + redOp(\\spad{p},{}\\spad{q})}.")) (|reduce| ((|#5| |#5| $ (|Mapping| |#5| |#5| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{reduce(\\spad{p},{}ts,{}redOp,{}redOp?)} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{redOp?(\\spad{r},{}\\spad{p})} holds for every \\axiom{\\spad{p}} of \\axiom{ts} and there exists some product \\axiom{\\spad{h}} of the initials of the members of \\axiom{ts} such that \\axiom{h*p - \\spad{r}} lies in the ideal generated by \\axiom{ts}. The operation \\axiom{redOp} must satisfy the following conditions. For every \\axiom{\\spad{p}} and \\axiom{\\spad{q}} we have \\axiom{redOp?(redOp(\\spad{p},{}\\spad{q}),{}\\spad{q})} and there exists an integer \\axiom{\\spad{e}} and a polynomial \\axiom{\\spad{f}} such that \\axiom{init(\\spad{q})^e*p = f*q + redOp(\\spad{p},{}\\spad{q})}.")) (|autoReduced?| (((|Boolean|) $ (|Mapping| (|Boolean|) |#5| (|List| |#5|))) "\\axiom{autoReduced?(ts,{}redOp?)} returns \\spad{true} iff every element of \\axiom{ts} is reduced \\spad{w}.\\spad{r}.\\spad{t} to every other in the sense of \\axiom{redOp?}")) (|initiallyReduced?| (((|Boolean|) $) "\\spad{initiallyReduced?(ts)} returns \\spad{true} iff for every element \\axiom{\\spad{p}} of \\axiom{\\spad{ts}} \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the other elements of \\axiom{\\spad{ts}} with the same main variable.") (((|Boolean|) |#5| $) "\\axiom{initiallyReduced?(\\spad{p},{}ts)} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials are reduced \\spad{w}.\\spad{r}.\\spad{t}. to the elements of \\axiom{ts} with the same main variable.")) (|headReduced?| (((|Boolean|) $) "\\spad{headReduced?(ts)} returns \\spad{true} iff the head of every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#5| $) "\\axiom{headReduced?(\\spad{p},{}ts)} returns \\spad{true} iff the head of \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{ts}.")) (|stronglyReduced?| (((|Boolean|) $) "\\axiom{stronglyReduced?(ts)} returns \\spad{true} iff every element of \\axiom{ts} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{ts}.") (((|Boolean|) |#5| $) "\\axiom{stronglyReduced?(\\spad{p},{}ts)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{ts}.")) (|reduced?| (((|Boolean|) |#5| $ (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{reduced?(\\spad{p},{}ts,{}redOp?)} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. in the sense of the operation \\axiom{redOp?},{} that is if for every \\axiom{\\spad{t}} in \\axiom{ts} \\axiom{redOp?(\\spad{p},{}\\spad{t})} holds.")) (|normalized?| (((|Boolean|) $) "\\axiom{normalized?(ts)} returns \\spad{true} iff for every axiom{\\spad{p}} in axiom{ts} we have \\axiom{normalized?(\\spad{p},{}us)} where \\axiom{us} is \\axiom{collectUnder(ts,{}mvar(\\spad{p}))}.") (((|Boolean|) |#5| $) "\\axiom{normalized?(\\spad{p},{}ts)} returns \\spad{true} iff \\axiom{\\spad{p}} and all its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variables of the polynomials of \\axiom{ts}")) (|quasiComponent| (((|Record| (|:| |close| (|List| |#5|)) (|:| |open| (|List| |#5|))) $) "\\axiom{quasiComponent(ts)} returns \\axiom{[lp,{}lq]} where \\axiom{lp} is the list of the members of \\axiom{ts} and \\axiom{lq}is \\axiom{initials(ts)}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(ts)} returns the product of main degrees of the members of \\axiom{ts}.")) (|initials| (((|List| |#5|) $) "\\axiom{initials(ts)} returns the list of the non-constant initials of the members of \\axiom{ts}.")) (|basicSet| (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#5|))) "failed") (|List| |#5|) (|Mapping| (|Boolean|) |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{basicSet(ps,{}pred?,{}redOp?)} returns the same as \\axiom{basicSet(qs,{}redOp?)} where \\axiom{qs} consists of the polynomials of \\axiom{ps} satisfying property \\axiom{pred?}.") (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#5|))) "failed") (|List| |#5|) (|Mapping| (|Boolean|) |#5| |#5|)) "\\axiom{basicSet(ps,{}redOp?)} returns \\axiom{[bs,{}ts]} where \\axiom{concat(bs,{}ts)} is \\axiom{ps} and \\axiom{bs} is a basic set in Wu Wen Tsun sense of \\axiom{ps} \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?},{} if no non-zero constant polynomial lie in \\axiom{ps},{} otherwise \\axiom{\"failed\"} is returned.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) NIL @@ -4920,7 +4920,7 @@ NIL ((|constructor| (NIL "\\indented{1}{This domain is used to interface with the interpreter'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 (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) -(-1248 -3969) +(-1248 -3968) ((|constructor| (NIL "A basic package for the factorization of bivariate polynomials over a finite field. The functions here represent the base step for the multivariate factorizer.")) (|twoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|)) (|Integer|)) "\\spad{twoFactor(p,n)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}. Also,{} \\spad{p} is assumed primitive and square-free and \\spad{n} is the degree of the inner variable of \\spad{p} (maximum of the degrees of the coefficients of \\spad{p}).")) (|generalSqFr| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalSqFr(p)} returns the square-free factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}.")) (|generalTwoFactor| (((|Factored| (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) (|SparseUnivariatePolynomial| (|SparseUnivariatePolynomial| |#1|))) "\\spad{generalTwoFactor(p)} returns the factorisation of polynomial \\spad{p},{} a sparse univariate polynomial (sup) over a sup over \\spad{F}."))) NIL NIL @@ -4966,8 +4966,8 @@ NIL NIL (-1259 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Laurent series in one variable \\indented{2}{\\spadtype{UnivariateLaurentSeries} 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{UnivariateLaurentSeries(Integer,x,3)} represents Laurent series in} \\indented{2}{\\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."))) -(((-4512 "*") -2171 (-2359 (|has| |#1| (-376)) (|has| (-1289 |#1| |#2| |#3|) (-844))) (|has| |#1| (-175)) (-2359 (|has| |#1| (-376)) (|has| (-1289 |#1| |#2| |#3|) (-940)))) (-4503 -2171 (-2359 (|has| |#1| (-376)) (|has| (-1289 |#1| |#2| |#3|) (-844))) (|has| |#1| (-571)) (-2359 (|has| |#1| (-376)) (|has| (-1289 |#1| |#2| |#3|) (-940)))) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4504 . T) (-4505 . T) (-4507 . 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(|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147))) (-12 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-147)))))) (-1265 ZP) ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. 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 @@ -5003,7 +5003,7 @@ NIL (-1268 |x| R) ((|constructor| (NIL "This domain represents univariate polynomials in some symbol over arbitrary (not necessarily commutative) coefficient rings. The representation is sparse in the sense that only non-zero terms are represented.")) (|fmecg| (($ $ (|NonNegativeInteger|) |#2| $) "\\spad{fmecg(p1,e,r,p2)} finds \\spad{X} : \\spad{p1} - \\spad{r} * X**e * \\spad{p2}"))) (((-4512 "*") |has| |#2| (-175)) (-4503 |has| |#2| (-571)) (-4506 |has| |#2| (-376)) (-4508 |has| |#2| (-6 -4508)) (-4505 . T) (-4504 . T) (-4507 . T)) -((|HasCategory| |#2| (QUOTE (-940))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-175))) (-2171 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (QUOTE (-571)))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -912) (QUOTE (-391)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-391))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -912) (QUOTE (-560)))) (|HasCategory| |#2| (|%list| (QUOTE -912) (QUOTE (-560))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-391)))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560))))) (|HasCategory| |#2| (|%list| (QUOTE -633) (|%list| (QUOTE -916) (QUOTE (-560)))))) (-12 (|HasCategory| (-1114) (|%list| (QUOTE -633) (QUOTE (-549)))) (|HasCategory| |#2| (|%list| (QUOTE -633) (QUOTE (-549))))) (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| 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(-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-571))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-466))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (QUOTE (-1184))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-240))) (|HasAttribute| |#2| (QUOTE -4508)) (|HasCategory| |#2| (QUOTE (-466))) (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (-2172 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-940)))) (|HasCategory| |#2| (QUOTE (-147))))) (-1269 |x| R |y| S) ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from \\spadtype{UnivariatePolynomial}(\\spad{x},{}\\spad{R}) to \\spadtype{UnivariatePolynomial}(\\spad{y},{}\\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| (((|UnivariatePolynomial| |#3| |#4|) (|Mapping| |#4| |#2|) (|UnivariatePolynomial| |#1| |#2|)) "\\spad{map(func, poly)} creates a new polynomial by applying \\spad{func} to every non-zero coefficient of the polynomial poly."))) NIL @@ -5051,7 +5051,7 @@ NIL (-1280 |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."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2171 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -4116) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2823) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -3076) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2822) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) (-1281 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|) ((|constructor| (NIL "Mapping package for univariate Puiseux series. This package allows one to apply a function to the coefficients of a univariate Puiseux series.")) (|map| (((|UnivariatePuiseuxSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariatePuiseuxSeries| |#1| |#3| |#5|)) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of the Puiseux series \\spad{g(x)}."))) NIL @@ -5071,11 +5071,11 @@ NIL (-1285 |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)}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-376)) (-4502 |has| |#1| (-376)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2171 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2171 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -4116) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2823) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560)))))) +((|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560))) (|devaluate| |#1|)))) (|HasCategory| (-421 (-560)) (QUOTE (-1144))) (|HasCategory| |#1| (QUOTE (-376))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2172 (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -3076) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2822) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-1286 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))}."))) (((-4512 "*") |has| (-1280 |#2| |#3| |#4|) (-175)) (-4503 |has| (-1280 |#2| |#3| |#4|) (-571)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-175))) (-2171 (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-376))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-466))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-571)))) +((|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-175))) (-2172 (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-376))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-466))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-571)))) (-1287 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{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,\"rest\",v)} (also written: \\axiom{\\spad{u}.rest := \\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{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} >= 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} >= 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} >= 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| $) "\\spad{concat(x,u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) NIL @@ -5087,7 +5087,7 @@ NIL (-1289 |Coef| |var| |cen|) ((|constructor| (NIL "Dense Taylor series in one variable \\spadtype{UnivariateTaylorSeries} is a domain representing Taylor series in one variable with coefficients in an arbitrary ring. The parameters of the type specify the coefficient ring,{} the power series variable,{} and the center of the power series expansion. For example,{} \\spadtype{UnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.")) (|integrate| (($ $ (|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}."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4504 . T) (-4505 . T) (-4507 . T)) -((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2171 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1144))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2171 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -4116) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2823) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (-2172 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|))))) (|HasSignature| |#1| (|%list| (QUOTE *) (|%list| (|devaluate| |#1|) (QUOTE (-793)) (|devaluate| |#1|)))) (|HasCategory| (-793) (QUOTE (-1144))) (-12 (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasSignature| |#1| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2172 (-12 (|HasCategory| |#1| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-990))) (|HasCategory| |#1| (QUOTE (-1235)))) (-12 (|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasSignature| |#1| (|%list| (QUOTE -3076) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2822) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|))))))) (-1290 |Coef1| |Coef2| UTS1 UTS2) ((|constructor| (NIL "Mapping package for univariate Taylor series. \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Taylor series.}")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of \\indented{1}{the Taylor series \\spad{g(x)}.}"))) NIL @@ -5095,7 +5095,7 @@ NIL (-1291 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 (-560)))) (|HasCategory| |#2| (QUOTE (-990))) (|HasCategory| |#2| (QUOTE (-1235))) (|HasSignature| |#2| (|%list| (QUOTE -2823) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#2|)))) (|HasSignature| |#2| (|%list| (QUOTE -4116) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1209))))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376)))) +((|HasCategory| |#2| (|%list| (QUOTE -29) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-990))) (|HasCategory| |#2| (QUOTE (-1235))) (|HasSignature| |#2| (|%list| (QUOTE -2822) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#2|)))) (|HasSignature| |#2| (|%list| (QUOTE -3076) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1209))))) (|HasCategory| |#2| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376)))) (-1292 |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."))) (((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4504 . T) (-4505 . T) (-4507 . T)) @@ -5104,7 +5104,7 @@ NIL ((|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 -(-1294 -3969 UP L UTS) +(-1294 -3968 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 (-571)))) @@ -5127,7 +5127,7 @@ NIL (-1299 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."))) ((-4511 . T) (-4510 . T)) -((-2171 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2171 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) +((-2172 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2172 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -633) (QUOTE (-549)))) (-2172 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2172 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| (-560) (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-23))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-748))) (|HasCategory| |#1| (QUOTE (-1081))) (-12 (|HasCategory| |#1| (QUOTE (-1034))) (|HasCategory| |#1| (QUOTE (-1081)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-1300 A B) ((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} vectors of elements of some type \\spad{A} and functions from \\spad{A} to another of type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a vector over \\spad{B}.")) (|map| (((|Union| (|Vector| |#2|) "failed") (|Mapping| (|Union| |#2| "failed") |#1|) (|Vector| |#1|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values or \\spad{\"failed\"}.") (((|Vector| |#2|) (|Mapping| |#2| |#1|) (|Vector| |#1|)) "\\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| ((|#2| (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if \\spad{vec} is empty.")) (|scan| (((|Vector| |#2|) (|Mapping| |#2| |#1| |#2|) (|Vector| |#1|) |#2|) "\\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 @@ -5164,7 +5164,7 @@ 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]*v + A[2]\\spad{*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 -(-1309 K R UP -3969) +(-1309 K R UP -3968) ((|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 @@ -5196,11 +5196,11 @@ NIL ((|constructor| (NIL "This package provides computations of logarithms and exponentials for polynomials in non-commutative variables. \\newline Author: Michel Petitot (petitot@lifl.fr).")) (|Hausdorff| ((|#3| |#3| |#3| (|NonNegativeInteger|)) "\\axiom{Hausdorff(a,{}\\spad{b},{}\\spad{n})} returns log(exp(a)*exp(\\spad{b})) truncated at order \\axiom{\\spad{n}}.")) (|log| ((|#3| |#3| (|NonNegativeInteger|)) "\\axiom{log(\\spad{p},{} \\spad{n})} returns the logarithm of \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}.")) (|exp| ((|#3| |#3| (|NonNegativeInteger|)) "\\axiom{exp(\\spad{p},{} \\spad{n})} returns the exponential of \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}."))) NIL NIL -(-1317 S -3969) +(-1317 S -3968) ((|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}."))) NIL ((|HasCategory| |#2| (QUOTE (-381))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149)))) -(-1318 -3969) +(-1318 -3968) ((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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}."))) ((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T)) NIL @@ -5264,4 +5264,4 @@ NIL NIL NIL NIL -((-3 NIL 2294543 2294548 2294553 2294558) (-2 NIL 2294523 2294528 2294533 2294538) (-1 NIL 2294503 2294508 2294513 2294518) (0 NIL 2294483 2294488 2294493 2294498) (-1329 "ZMOD.spad" 2294292 2294305 2294421 2294478) (-1328 "ZLINDEP.spad" 2293390 2293401 2294282 2294287) (-1327 "ZDSOLVE.spad" 2283350 2283372 2293380 2293385) (-1326 "YSTREAM.spad" 2282845 2282856 2283340 2283345) (-1325 "YDIAGRAM.spad" 2282479 2282488 2282835 2282840) (-1324 "XRPOLY.spad" 2281699 2281719 2282335 2282404) (-1323 "XPR.spad" 2279494 2279507 2281417 2281516) (-1322 "XPOLYC.spad" 2278813 2278829 2279420 2279489) (-1321 "XPOLY.spad" 2278368 2278379 2278669 2278738) (-1320 "XPBWPOLY.spad" 2276807 2276827 2278142 2278211) (-1319 "XFALG.spad" 2273855 2273871 2276733 2276802) (-1318 "XF.spad" 2272318 2272333 2273757 2273850) (-1317 "XF.spad" 2270761 2270778 2272202 2272207) (-1316 "XEXPPKG.spad" 2270020 2270046 2270751 2270756) (-1315 "XDPOLY.spad" 2269634 2269650 2269876 2269945) (-1314 "XALG.spad" 2269302 2269313 2269590 2269629) (-1313 "WUTSET.spad" 2265272 2265289 2268903 2268930) (-1312 "WP.spad" 2264479 2264523 2265130 2265197) (-1311 "WHILEAST.spad" 2264277 2264286 2264469 2264474) (-1310 "WHEREAST.spad" 2263948 2263957 2264267 2264272) (-1309 "WFFINTBS.spad" 2261611 2261633 2263938 2263943) (-1308 "WEIER.spad" 2259833 2259844 2261601 2261606) (-1307 "VSPACE.spad" 2259506 2259517 2259801 2259828) (-1306 "VSPACE.spad" 2259199 2259212 2259496 2259501) (-1305 "VOID.spad" 2258876 2258885 2259189 2259194) (-1304 "VIEWDEF.spad" 2254077 2254086 2258866 2258871) (-1303 "VIEW3D.spad" 2238038 2238047 2254067 2254072) (-1302 "VIEW2D.spad" 2225937 2225946 2238028 2238033) (-1301 "VIEW.spad" 2223657 2223666 2225927 2225932) (-1300 "VECTOR2.spad" 2222296 2222309 2223647 2223652) (-1299 "VECTOR.spad" 2220796 2220807 2221047 2221074) (-1298 "VECTCAT.spad" 2218708 2218719 2220764 2220791) (-1297 "VECTCAT.spad" 2216427 2216440 2218485 2218490) (-1296 "VARIABLE.spad" 2216207 2216222 2216417 2216422) (-1295 "UTYPE.spad" 2215851 2215860 2216197 2216202) (-1294 "UTSODETL.spad" 2215146 2215170 2215807 2215812) (-1293 "UTSODE.spad" 2213362 2213382 2215136 2215141) (-1292 "UTSCAT.spad" 2210841 2210857 2213260 2213357) (-1291 "UTSCAT.spad" 2207940 2207958 2210361 2210366) (-1290 "UTS2.spad" 2207535 2207570 2207930 2207935) (-1289 "UTS.spad" 2202413 2202441 2205933 2206030) (-1288 "URAGG.spad" 2197134 2197145 2202403 2202408) (-1287 "URAGG.spad" 2191819 2191832 2197090 2197095) (-1286 "UPXSSING.spad" 2189437 2189463 2190873 2191006) (-1285 "UPXSCONS.spad" 2187115 2187135 2187488 2187637) (-1284 "UPXSCCA.spad" 2185686 2185706 2186961 2187110) (-1283 "UPXSCCA.spad" 2184399 2184421 2185676 2185681) (-1282 "UPXSCAT.spad" 2182988 2183004 2184245 2184394) (-1281 "UPXS2.spad" 2182531 2182584 2182978 2182983) (-1280 "UPXS.spad" 2179746 2179774 2180582 2180731) (-1279 "UPSQFREE.spad" 2178160 2178174 2179736 2179741) (-1278 "UPSCAT.spad" 2175955 2175979 2178058 2178155) (-1277 "UPSCAT.spad" 2173435 2173461 2175540 2175545) (-1276 "UPOLYC2.spad" 2172906 2172925 2173425 2173430) (-1275 "UPOLYC.spad" 2167986 2167997 2172748 2172901) (-1274 "UPOLYC.spad" 2162952 2162965 2167716 2167721) (-1273 "UPMP.spad" 2161884 2161897 2162942 2162947) (-1272 "UPDIVP.spad" 2161449 2161463 2161874 2161879) (-1271 "UPDECOMP.spad" 2159710 2159724 2161439 2161444) (-1270 "UPCDEN.spad" 2158927 2158943 2159700 2159705) (-1269 "UP2.spad" 2158291 2158312 2158917 2158922) (-1268 "UP.spad" 2155319 2155334 2155706 2155859) (-1267 "UNISEG2.spad" 2154816 2154829 2155275 2155280) (-1266 "UNISEG.spad" 2154169 2154180 2154735 2154740) (-1265 "UNIFACT.spad" 2153272 2153284 2154159 2154164) (-1264 "ULSCONS.spad" 2144184 2144204 2144554 2144703) (-1263 "ULSCCAT.spad" 2141921 2141941 2144030 2144179) (-1262 "ULSCCAT.spad" 2139766 2139788 2141877 2141882) (-1261 "ULSCAT.spad" 2138006 2138022 2139612 2139761) (-1260 "ULS2.spad" 2137520 2137573 2137996 2138001) (-1259 "ULS.spad" 2127091 2127119 2128036 2128465) (-1258 "UINT8.spad" 2126968 2126977 2127081 2127086) (-1257 "UINT64.spad" 2126844 2126853 2126958 2126963) (-1256 "UINT32.spad" 2126720 2126729 2126834 2126839) (-1255 "UINT16.spad" 2126596 2126605 2126710 2126715) (-1254 "UFD.spad" 2125661 2125670 2126522 2126591) (-1253 "UFD.spad" 2124788 2124799 2125651 2125656) (-1252 "UDVO.spad" 2123669 2123678 2124778 2124783) (-1251 "UDPO.spad" 2121250 2121261 2123625 2123630) (-1250 "TYPEAST.spad" 2121169 2121178 2121240 2121245) (-1249 "TYPE.spad" 2121101 2121110 2121159 2121164) (-1248 "TWOFACT.spad" 2119753 2119768 2121091 2121096) (-1247 "TUPLE.spad" 2119244 2119255 2119649 2119654) (-1246 "TUBETOOL.spad" 2116111 2116120 2119234 2119239) (-1245 "TUBE.spad" 2114758 2114775 2116101 2116106) (-1244 "TSETCAT.spad" 2102829 2102846 2114726 2114753) (-1243 "TSETCAT.spad" 2090886 2090905 2102785 2102790) (-1242 "TS.spad" 2089479 2089495 2090445 2090542) (-1241 "TRMANIP.spad" 2083843 2083860 2089167 2089172) (-1240 "TRIMAT.spad" 2082806 2082831 2083833 2083838) (-1239 "TRIGMNIP.spad" 2081333 2081350 2082796 2082801) (-1238 "TRIGCAT.spad" 2080845 2080854 2081323 2081328) (-1237 "TRIGCAT.spad" 2080355 2080366 2080835 2080840) (-1236 "TREE.spad" 2078801 2078812 2079833 2079860) (-1235 "TRANFUN.spad" 2078640 2078649 2078791 2078796) (-1234 "TRANFUN.spad" 2078477 2078488 2078630 2078635) (-1233 "TOPSP.spad" 2078151 2078160 2078467 2078472) (-1232 "TOOLSIGN.spad" 2077814 2077825 2078141 2078146) (-1231 "TEXTFILE.spad" 2076375 2076384 2077804 2077809) (-1230 "TEX1.spad" 2075931 2075942 2076365 2076370) (-1229 "TEX.spad" 2073125 2073134 2075921 2075926) (-1228 "TEMUTL.spad" 2072680 2072689 2073115 2073120) (-1227 "TBCMPPK.spad" 2070781 2070804 2072670 2072675) (-1226 "TBAGG.spad" 2069839 2069862 2070761 2070776) (-1225 "TBAGG.spad" 2068905 2068930 2069829 2069834) (-1224 "TANEXP.spad" 2068313 2068324 2068895 2068900) (-1223 "TALGOP.spad" 2068037 2068048 2068303 2068308) (-1222 "TABLEAU.spad" 2067518 2067529 2068027 2068032) (-1221 "TABLE.spad" 2065451 2065474 2065721 2065748) (-1220 "TABLBUMP.spad" 2062230 2062241 2065441 2065446) (-1219 "SYSTEM.spad" 2061458 2061467 2062220 2062225) (-1218 "SYSSOLP.spad" 2058941 2058952 2061448 2061453) (-1217 "SYSPTR.spad" 2058840 2058849 2058931 2058936) (-1216 "SYSNNI.spad" 2058063 2058074 2058830 2058835) (-1215 "SYSINT.spad" 2057467 2057478 2058053 2058058) (-1214 "SYNTAX.spad" 2053801 2053810 2057457 2057462) (-1213 "SYMTAB.spad" 2051869 2051878 2053791 2053796) (-1212 "SYMS.spad" 2047892 2047901 2051859 2051864) (-1211 "SYMPOLY.spad" 2046871 2046882 2046953 2047080) (-1210 "SYMFUNC.spad" 2046372 2046383 2046861 2046866) (-1209 "SYMBOL.spad" 2043867 2043876 2046362 2046367) (-1208 "SWITCH.spad" 2040638 2040647 2043857 2043862) (-1207 "SUTS.spad" 2037617 2037645 2039036 2039133) (-1206 "SUPXS.spad" 2034819 2034847 2035668 2035817) (-1205 "SUPFRACF.spad" 2033924 2033942 2034809 2034814) (-1204 "SUP2.spad" 2033316 2033329 2033914 2033919) (-1203 "SUP.spad" 2029958 2029969 2030731 2030884) (-1202 "SUMRF.spad" 2028932 2028943 2029948 2029953) (-1201 "SUMFS.spad" 2028561 2028578 2028922 2028927) (-1200 "SULS.spad" 2018119 2018147 2019077 2019506) (-1199 "SUCHTAST.spad" 2017888 2017897 2018109 2018114) (-1198 "SUCH.spad" 2017578 2017593 2017878 2017883) (-1197 "SUBSPACE.spad" 2009709 2009724 2017568 2017573) (-1196 "SUBRESP.spad" 2008879 2008893 2009665 2009670) (-1195 "STTFNC.spad" 2005347 2005363 2008869 2008874) (-1194 "STTF.spad" 2001446 2001462 2005337 2005342) (-1193 "STTAYLOR.spad" 1994091 1994102 2001321 2001326) (-1192 "STRTBL.spad" 1992106 1992123 1992255 1992282) (-1191 "STRING.spad" 1990872 1990881 1991093 1991120) (-1190 "STREAM3.spad" 1990445 1990460 1990862 1990867) (-1189 "STREAM2.spad" 1989573 1989586 1990435 1990440) (-1188 "STREAM1.spad" 1989279 1989290 1989563 1989568) (-1187 "STREAM.spad" 1986065 1986076 1988672 1988687) (-1186 "STINPROD.spad" 1985001 1985017 1986055 1986060) (-1185 "STEPAST.spad" 1984235 1984244 1984991 1984996) (-1184 "STEP.spad" 1983444 1983453 1984225 1984230) (-1183 "STBL.spad" 1981492 1981520 1981659 1981674) (-1182 "STAGG.spad" 1980567 1980578 1981482 1981487) (-1181 "STAGG.spad" 1979640 1979653 1980557 1980562) (-1180 "STACK.spad" 1978868 1978879 1979118 1979145) (-1179 "SRING.spad" 1978628 1978637 1978858 1978863) (-1178 "SREGSET.spad" 1976327 1976344 1978229 1978256) (-1177 "SRDCMPK.spad" 1974904 1974924 1976317 1976322) (-1176 "SRAGG.spad" 1970087 1970096 1974872 1974899) (-1175 "SRAGG.spad" 1965290 1965301 1970077 1970082) (-1174 "SQMATRIX.spad" 1962785 1962803 1963701 1963788) (-1173 "SPLTREE.spad" 1957251 1957264 1962047 1962074) (-1172 "SPLNODE.spad" 1953871 1953884 1957241 1957246) (-1171 "SPFCAT.spad" 1952680 1952689 1953861 1953866) (-1170 "SPECOUT.spad" 1951232 1951241 1952670 1952675) (-1169 "SPADXPT.spad" 1943323 1943332 1951222 1951227) (-1168 "spad-parser.spad" 1942788 1942797 1943313 1943318) (-1167 "SPADAST.spad" 1942489 1942498 1942778 1942783) (-1166 "SPACEC.spad" 1926704 1926715 1942479 1942484) (-1165 "SPACE3.spad" 1926480 1926491 1926694 1926699) (-1164 "SORTPAK.spad" 1926029 1926042 1926436 1926441) (-1163 "SOLVETRA.spad" 1923792 1923803 1926019 1926024) (-1162 "SOLVESER.spad" 1922248 1922259 1923782 1923787) (-1161 "SOLVERAD.spad" 1918274 1918285 1922238 1922243) (-1160 "SOLVEFOR.spad" 1916736 1916754 1918264 1918269) (-1159 "SNTSCAT.spad" 1916336 1916353 1916704 1916731) (-1158 "SMTS.spad" 1914618 1914644 1915895 1915992) (-1157 "SMP.spad" 1912021 1912041 1912411 1912538) (-1156 "SMITH.spad" 1910866 1910891 1912011 1912016) (-1155 "SMATCAT.spad" 1908984 1909014 1910810 1910861) (-1154 "SMATCAT.spad" 1907034 1907066 1908862 1908867) (-1153 "SKAGG.spad" 1906003 1906014 1907002 1907029) (-1152 "SINT.spad" 1904943 1904952 1905869 1905998) (-1151 "SIMPAN.spad" 1904671 1904680 1904933 1904938) (-1150 "SIGNRF.spad" 1903789 1903800 1904661 1904666) (-1149 "SIGNEF.spad" 1903068 1903085 1903779 1903784) (-1148 "SIGAST.spad" 1902485 1902494 1903058 1903063) (-1147 "SIG.spad" 1901847 1901856 1902475 1902480) (-1146 "SHP.spad" 1899791 1899806 1901803 1901808) (-1145 "SHDP.spad" 1887146 1887173 1887663 1887762) (-1144 "SGROUP.spad" 1886754 1886763 1887136 1887141) (-1143 "SGROUP.spad" 1886360 1886371 1886744 1886749) (-1142 "SGCF.spad" 1879499 1879508 1886350 1886355) (-1141 "SFRTCAT.spad" 1878445 1878462 1879467 1879494) (-1140 "SFRGCD.spad" 1877508 1877528 1878435 1878440) (-1139 "SFQCMPK.spad" 1872321 1872341 1877498 1877503) (-1138 "SFORT.spad" 1871760 1871774 1872311 1872316) (-1137 "SEXOF.spad" 1871603 1871643 1871750 1871755) (-1136 "SEXCAT.spad" 1869431 1869471 1871593 1871598) (-1135 "SEX.spad" 1869323 1869332 1869421 1869426) (-1134 "SETMN.spad" 1867781 1867798 1869313 1869318) (-1133 "SETCAT.spad" 1867266 1867275 1867771 1867776) (-1132 "SETCAT.spad" 1866749 1866760 1867256 1867261) (-1131 "SETAGG.spad" 1863298 1863309 1866729 1866744) (-1130 "SETAGG.spad" 1859855 1859868 1863288 1863293) (-1129 "SET.spad" 1858128 1858139 1859225 1859264) (-1128 "SEQAST.spad" 1857831 1857840 1858118 1858123) (-1127 "SEGXCAT.spad" 1856987 1857000 1857821 1857826) (-1126 "SEGCAT.spad" 1855912 1855923 1856977 1856982) (-1125 "SEGBIND2.spad" 1855610 1855623 1855902 1855907) (-1124 "SEGBIND.spad" 1855368 1855379 1855557 1855562) (-1123 "SEGAST.spad" 1855098 1855107 1855358 1855363) (-1122 "SEG2.spad" 1854533 1854546 1855054 1855059) (-1121 "SEG.spad" 1854346 1854357 1854452 1854457) (-1120 "SDVAR.spad" 1853622 1853633 1854336 1854341) (-1119 "SDPOL.spad" 1850877 1850888 1851168 1851295) (-1118 "SCPKG.spad" 1848966 1848977 1850867 1850872) (-1117 "SCOPE.spad" 1848143 1848152 1848956 1848961) (-1116 "SCACHE.spad" 1846839 1846850 1848133 1848138) (-1115 "SASTCAT.spad" 1846748 1846757 1846829 1846834) (-1114 "SAOS.spad" 1846620 1846629 1846738 1846743) (-1113 "SAERFFC.spad" 1846333 1846353 1846610 1846615) (-1112 "SAEFACT.spad" 1846034 1846054 1846323 1846328) (-1111 "SAE.spad" 1843468 1843484 1844079 1844214) (-1110 "RURPK.spad" 1841127 1841143 1843458 1843463) (-1109 "RULESET.spad" 1840580 1840604 1841117 1841122) (-1108 "RULECOLD.spad" 1840432 1840445 1840570 1840575) (-1107 "RULE.spad" 1838680 1838704 1840422 1840427) (-1106 "RTVALUE.spad" 1838415 1838424 1838670 1838675) (-1105 "RSTRCAST.spad" 1838132 1838141 1838405 1838410) (-1104 "RSETGCD.spad" 1834574 1834594 1838122 1838127) (-1103 "RSETCAT.spad" 1824542 1824559 1834542 1834569) (-1102 "RSETCAT.spad" 1814530 1814549 1824532 1824537) (-1101 "RSDCMPK.spad" 1813030 1813050 1814520 1814525) (-1100 "RRCC.spad" 1811414 1811444 1813020 1813025) (-1099 "RRCC.spad" 1809796 1809828 1811404 1811409) (-1098 "RPTAST.spad" 1809498 1809507 1809786 1809791) (-1097 "RPOLCAT.spad" 1789002 1789017 1809366 1809493) (-1096 "RPOLCAT.spad" 1768201 1768218 1788567 1788572) (-1095 "ROUTINE.spad" 1763602 1763611 1766350 1766377) (-1094 "ROMAN.spad" 1762930 1762939 1763468 1763597) (-1093 "ROIRC.spad" 1762010 1762042 1762920 1762925) (-1092 "RNS.spad" 1760986 1760995 1761912 1762005) (-1091 "RNS.spad" 1760048 1760059 1760976 1760981) (-1090 "RNGBIND.spad" 1759208 1759222 1760003 1760008) (-1089 "RNG.spad" 1758943 1758952 1759198 1759203) (-1088 "RMODULE.spad" 1758724 1758735 1758933 1758938) (-1087 "RMCAT2.spad" 1758144 1758201 1758714 1758719) (-1086 "RMATRIX.spad" 1756914 1756933 1757257 1757296) (-1085 "RMATCAT.spad" 1752493 1752524 1756870 1756909) (-1084 "RMATCAT.spad" 1747962 1747995 1752341 1752346) (-1083 "RLINSET.spad" 1747666 1747677 1747952 1747957) (-1082 "RINTERP.spad" 1747554 1747574 1747656 1747661) (-1081 "RING.spad" 1747024 1747033 1747534 1747549) (-1080 "RING.spad" 1746502 1746513 1747014 1747019) (-1079 "RIDIST.spad" 1745894 1745903 1746492 1746497) (-1078 "RGCHAIN.spad" 1744415 1744431 1745309 1745336) (-1077 "RGBCSPC.spad" 1744204 1744216 1744405 1744410) (-1076 "RGBCMDL.spad" 1743766 1743778 1744194 1744199) (-1075 "RFFACTOR.spad" 1743228 1743239 1743756 1743761) (-1074 "RFFACT.spad" 1742963 1742975 1743218 1743223) (-1073 "RFDIST.spad" 1741959 1741968 1742953 1742958) (-1072 "RF.spad" 1739633 1739644 1741949 1741954) (-1071 "RETSOL.spad" 1739052 1739065 1739623 1739628) (-1070 "RETRACT.spad" 1738480 1738491 1739042 1739047) (-1069 "RETRACT.spad" 1737906 1737919 1738470 1738475) (-1068 "RETAST.spad" 1737718 1737727 1737896 1737901) (-1067 "RESULT.spad" 1735280 1735289 1735867 1735894) (-1066 "RESRING.spad" 1734627 1734674 1735218 1735275) (-1065 "RESLATC.spad" 1733951 1733962 1734617 1734622) (-1064 "REPSQ.spad" 1733682 1733693 1733941 1733946) (-1063 "REPDB.spad" 1733389 1733400 1733672 1733677) (-1062 "REP2.spad" 1723103 1723114 1733231 1733236) (-1061 "REP1.spad" 1717323 1717334 1723053 1723058) (-1060 "REP.spad" 1714877 1714886 1717313 1717318) (-1059 "REGSET.spad" 1712669 1712686 1714478 1714505) (-1058 "REF.spad" 1712004 1712015 1712624 1712629) (-1057 "REDORDER.spad" 1711210 1711227 1711994 1711999) (-1056 "RECLOS.spad" 1709969 1709989 1710673 1710766) (-1055 "REALSOLV.spad" 1709109 1709118 1709959 1709964) (-1054 "REAL0Q.spad" 1706407 1706422 1709099 1709104) (-1053 "REAL0.spad" 1703251 1703266 1706397 1706402) (-1052 "REAL.spad" 1703123 1703132 1703241 1703246) (-1051 "RDUCEAST.spad" 1702844 1702853 1703113 1703118) (-1050 "RDIV.spad" 1702499 1702524 1702834 1702839) (-1049 "RDIST.spad" 1702066 1702077 1702489 1702494) (-1048 "RDETRS.spad" 1700930 1700948 1702056 1702061) (-1047 "RDETR.spad" 1699069 1699087 1700920 1700925) (-1046 "RDEEFS.spad" 1698168 1698185 1699059 1699064) (-1045 "RDEEF.spad" 1697178 1697195 1698158 1698163) (-1044 "RCFIELD.spad" 1694396 1694405 1697080 1697173) (-1043 "RCFIELD.spad" 1691700 1691711 1694386 1694391) (-1042 "RCAGG.spad" 1689636 1689647 1691690 1691695) (-1041 "RCAGG.spad" 1687499 1687512 1689555 1689560) (-1040 "RATRET.spad" 1686859 1686870 1687489 1687494) (-1039 "RATFACT.spad" 1686551 1686563 1686849 1686854) (-1038 "RANDSRC.spad" 1685870 1685879 1686541 1686546) (-1037 "RADUTIL.spad" 1685626 1685635 1685860 1685865) (-1036 "RADIX.spad" 1682405 1682419 1683951 1684044) (-1035 "RADFF.spad" 1680108 1680145 1680227 1680383) (-1034 "RADCAT.spad" 1679703 1679712 1680098 1680103) (-1033 "RADCAT.spad" 1679296 1679307 1679693 1679698) (-1032 "QUEUE.spad" 1678515 1678526 1678774 1678801) (-1031 "QUATCT2.spad" 1678135 1678154 1678505 1678510) (-1030 "QUATCAT.spad" 1676305 1676316 1678065 1678130) (-1029 "QUATCAT.spad" 1674223 1674236 1675985 1675990) (-1028 "QUAT.spad" 1672675 1672686 1673018 1673083) (-1027 "QUAGG.spad" 1671508 1671519 1672643 1672670) (-1026 "QQUTAST.spad" 1671276 1671285 1671498 1671503) (-1025 "QFORM.spad" 1670894 1670909 1671266 1671271) (-1024 "QFCAT2.spad" 1670586 1670603 1670884 1670889) (-1023 "QFCAT.spad" 1669288 1669299 1670488 1670581) (-1022 "QFCAT.spad" 1667572 1667585 1668774 1668779) (-1021 "QEQUAT.spad" 1667130 1667139 1667562 1667567) (-1020 "QCMPACK.spad" 1662044 1662064 1667120 1667125) (-1019 "QALGSET2.spad" 1660039 1660058 1662034 1662039) (-1018 "QALGSET.spad" 1656141 1656174 1659953 1659958) (-1017 "PWFFINTB.spad" 1653556 1653578 1656131 1656136) (-1016 "PUSHVAR.spad" 1652894 1652914 1653546 1653551) (-1015 "PTRANFN.spad" 1649029 1649040 1652884 1652889) (-1014 "PTPACK.spad" 1646116 1646127 1649019 1649024) (-1013 "PTFUNC2.spad" 1645938 1645953 1646106 1646111) (-1012 "PTCAT.spad" 1645192 1645203 1645906 1645933) (-1011 "PSQFR.spad" 1644506 1644531 1645182 1645187) (-1010 "PSEUDLIN.spad" 1643391 1643402 1644496 1644501) (-1009 "PSETPK.spad" 1630095 1630112 1643269 1643274) (-1008 "PSETCAT.spad" 1624494 1624518 1630075 1630090) (-1007 "PSETCAT.spad" 1618867 1618893 1624450 1624455) (-1006 "PSCURVE.spad" 1617865 1617874 1618857 1618862) (-1005 "PSCAT.spad" 1616647 1616677 1617763 1617860) (-1004 "PSCAT.spad" 1615519 1615551 1616637 1616642) (-1003 "PRTITION.spad" 1614216 1614225 1615509 1615514) (-1002 "PRTDAST.spad" 1613934 1613943 1614206 1614211) (-1001 "PRS.spad" 1603551 1603569 1613890 1613895) 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1585559 1586261 1586266) (-981 "POLYCATQ.spad" 1583662 1583684 1585526 1585531) (-980 "POLYCAT.spad" 1577164 1577185 1583530 1583657) (-979 "POLYCAT.spad" 1569962 1569985 1576330 1576335) (-978 "POLY2UP.spad" 1569414 1569428 1569952 1569957) (-977 "POLY2.spad" 1569011 1569023 1569404 1569409) (-976 "POLY.spad" 1566274 1566284 1566789 1566916) (-975 "POLUTIL.spad" 1565239 1565268 1566230 1566235) (-974 "POLTOPOL.spad" 1563987 1564002 1565229 1565234) (-973 "POINT.spad" 1562651 1562661 1562738 1562765) (-972 "PNTHEORY.spad" 1559353 1559361 1562641 1562646) (-971 "PMTOOLS.spad" 1558128 1558142 1559343 1559348) (-970 "PMSYM.spad" 1557677 1557687 1558118 1558123) (-969 "PMQFCAT.spad" 1557268 1557282 1557667 1557672) (-968 "PMPREDFS.spad" 1556730 1556752 1557258 1557263) (-967 "PMPRED.spad" 1556217 1556231 1556720 1556725) (-966 "PMPLCAT.spad" 1555294 1555312 1556146 1556151) (-965 "PMLSAGG.spad" 1554879 1554893 1555284 1555289) (-964 "PMKERNEL.spad" 1554458 1554470 1554869 1554874) (-963 "PMINS.spad" 1554038 1554048 1554448 1554453) (-962 "PMFS.spad" 1553615 1553633 1554028 1554033) (-961 "PMDOWN.spad" 1552905 1552919 1553605 1553610) (-960 "PMASSFS.spad" 1551880 1551896 1552895 1552900) (-959 "PMASS.spad" 1550898 1550906 1551870 1551875) (-958 "PLOTTOOL.spad" 1550678 1550686 1550888 1550893) (-957 "PLOT3D.spad" 1547142 1547150 1550668 1550673) (-956 "PLOT1.spad" 1546315 1546325 1547132 1547137) (-955 "PLOT.spad" 1541238 1541246 1546305 1546310) (-954 "PLEQN.spad" 1528640 1528667 1541228 1541233) (-953 "PINTERPA.spad" 1528424 1528440 1528630 1528635) (-952 "PINTERP.spad" 1528046 1528065 1528414 1528419) (-951 "PID.spad" 1527020 1527028 1527972 1528041) (-950 "PICOERCE.spad" 1526677 1526687 1527010 1527015) (-949 "PI.spad" 1526294 1526302 1526651 1526672) (-948 "PGROEB.spad" 1524903 1524917 1526284 1526289) (-947 "PGE.spad" 1516576 1516584 1524893 1524898) (-946 "PGCD.spad" 1515530 1515547 1516566 1516571) (-945 "PFRPAC.spad" 1514679 1514689 1515520 1515525) (-944 "PFR.spad" 1511382 1511392 1514581 1514674) (-943 "PFOTOOLS.spad" 1510640 1510656 1511372 1511377) (-942 "PFOQ.spad" 1510010 1510028 1510630 1510635) (-941 "PFO.spad" 1509429 1509456 1510000 1510005) (-940 "PFECAT.spad" 1507139 1507147 1509355 1509424) (-939 "PFECAT.spad" 1504877 1504887 1507095 1507100) (-938 "PFBRU.spad" 1502765 1502777 1504867 1504872) (-937 "PFBR.spad" 1500325 1500348 1502755 1502760) (-936 "PF.spad" 1499899 1499911 1500130 1500223) (-935 "PERMGRP.spad" 1494669 1494679 1499889 1499894) (-934 "PERMCAT.spad" 1493330 1493340 1494649 1494664) (-933 "PERMAN.spad" 1491886 1491900 1493320 1493325) (-932 "PERM.spad" 1487693 1487703 1491716 1491731) (-931 "PENDTREE.spad" 1486913 1486923 1487193 1487198) (-930 "PDSPC.spad" 1485726 1485736 1486903 1486908) (-929 "PDSPC.spad" 1484537 1484549 1485716 1485721) (-928 "PDRING.spad" 1484379 1484389 1484517 1484532) (-927 "PDMOD.spad" 1484195 1484207 1484347 1484374) (-926 "PDEPROB.spad" 1483210 1483218 1484185 1484190) (-925 "PDEPACK.spad" 1477346 1477354 1483200 1483205) (-924 "PDECOMP.spad" 1476816 1476833 1477336 1477341) (-923 "PDECAT.spad" 1475172 1475180 1476806 1476811) (-922 "PDDOM.spad" 1474610 1474623 1475162 1475167) (-921 "PDDOM.spad" 1474046 1474061 1474600 1474605) (-920 "PCOMP.spad" 1473899 1473912 1474036 1474041) (-919 "PBWLB.spad" 1472495 1472512 1473889 1473894) (-918 "PATTERN2.spad" 1472233 1472245 1472485 1472490) (-917 "PATTERN1.spad" 1470577 1470593 1472223 1472228) (-916 "PATTERN.spad" 1465148 1465158 1470567 1470572) (-915 "PATRES2.spad" 1464820 1464834 1465138 1465143) (-914 "PATRES.spad" 1462403 1462415 1464810 1464815) (-913 "PATMATCH.spad" 1460591 1460622 1462102 1462107) (-912 "PATMAB.spad" 1460020 1460030 1460581 1460586) (-911 "PATLRES.spad" 1459106 1459120 1460010 1460015) (-910 "PATAB.spad" 1458870 1458880 1459096 1459101) (-909 "PARTPERM.spad" 1456926 1456934 1458860 1458865) (-908 "PARSURF.spad" 1456360 1456388 1456916 1456921) (-907 "PARSU2.spad" 1456157 1456173 1456350 1456355) (-906 "script-parser.spad" 1455677 1455685 1456147 1456152) (-905 "PARSCURV.spad" 1455111 1455139 1455667 1455672) (-904 "PARSC2.spad" 1454902 1454918 1455101 1455106) (-903 "PARPCURV.spad" 1454364 1454392 1454892 1454897) (-902 "PARPC2.spad" 1454155 1454171 1454354 1454359) (-901 "PARAMAST.spad" 1453283 1453291 1454145 1454150) (-900 "PAN2EXPR.spad" 1452695 1452703 1453273 1453278) (-899 "PALETTE.spad" 1451681 1451689 1452685 1452690) (-898 "PAIR.spad" 1450688 1450701 1451257 1451262) (-897 "PADICRC.spad" 1447892 1447910 1449055 1449148) (-896 "PADICRAT.spad" 1445751 1445763 1445964 1446057) (-895 "PADICCT.spad" 1444300 1444312 1445677 1445746) (-894 "PADIC.spad" 1444003 1444015 1444226 1444295) (-893 "PADEPAC.spad" 1442692 1442711 1443993 1443998) (-892 "PADE.spad" 1441444 1441460 1442682 1442687) (-891 "OWP.spad" 1440692 1440722 1441302 1441369) (-890 "OVERSET.spad" 1440265 1440273 1440682 1440687) (-889 "OVAR.spad" 1440046 1440069 1440255 1440260) (-888 "OUTFORM.spad" 1429454 1429462 1440036 1440041) (-887 "OUTBFILE.spad" 1428888 1428896 1429444 1429449) (-886 "OUTBCON.spad" 1427958 1427966 1428878 1428883) (-885 "OUTBCON.spad" 1427026 1427036 1427948 1427953) (-884 "OUT.spad" 1426144 1426152 1427016 1427021) (-883 "OSI.spad" 1425619 1425627 1426134 1426139) (-882 "OSGROUP.spad" 1425537 1425545 1425609 1425614) (-881 "ORTHPOL.spad" 1424016 1424026 1425448 1425453) (-880 "OREUP.spad" 1423460 1423488 1423687 1423726) (-879 "ORESUP.spad" 1422752 1422776 1423131 1423170) (-878 "OREPCTO.spad" 1420641 1420653 1422672 1422677) (-877 "OREPCAT.spad" 1414828 1414838 1420597 1420636) (-876 "OREPCAT.spad" 1408905 1408917 1414676 1414681) (-875 "ORDTYPE.spad" 1408142 1408150 1408895 1408900) (-874 "ORDTYPE.spad" 1407377 1407387 1408132 1408137) (-873 "ORDSTRCT.spad" 1407147 1407162 1407310 1407315) (-872 "ORDSET.spad" 1406847 1406855 1407137 1407142) (-871 "ORDRING.spad" 1406664 1406672 1406827 1406842) (-870 "ORDMON.spad" 1406519 1406527 1406654 1406659) (-869 "ORDFUNS.spad" 1405651 1405667 1406509 1406514) (-868 "ORDFIN.spad" 1405471 1405479 1405641 1405646) (-867 "ORDCOMP2.spad" 1404764 1404776 1405461 1405466) (-866 "ORDCOMP.spad" 1403217 1403227 1404299 1404328) (-865 "OPTPROB.spad" 1401855 1401863 1403207 1403212) (-864 "OPTPACK.spad" 1394264 1394272 1401845 1401850) (-863 "OPTCAT.spad" 1391943 1391951 1394254 1394259) (-862 "OPSIG.spad" 1391605 1391613 1391933 1391938) (-861 "OPQUERY.spad" 1391186 1391194 1391595 1391600) (-860 "OPERCAT.spad" 1390652 1390662 1391176 1391181) (-859 "OPERCAT.spad" 1390116 1390128 1390642 1390647) (-858 "OP.spad" 1389858 1389868 1389938 1390005) (-857 "ONECOMP2.spad" 1389282 1389294 1389848 1389853) (-856 "ONECOMP.spad" 1388015 1388025 1388817 1388846) (-855 "OMSERVER.spad" 1387021 1387029 1388005 1388010) (-854 "OMSAGG.spad" 1386809 1386819 1386977 1387016) (-853 "OMPKG.spad" 1385441 1385449 1386799 1386804) (-852 "OMLO.spad" 1384874 1384886 1385327 1385366) (-851 "OMEXPR.spad" 1384708 1384718 1384864 1384869) (-850 "OMERRK.spad" 1383758 1383766 1384698 1384703) (-849 "OMERR.spad" 1383303 1383311 1383748 1383753) (-848 "OMENC.spad" 1382655 1382663 1383293 1383298) (-847 "OMDEV.spad" 1376988 1376996 1382645 1382650) (-846 "OMCONN.spad" 1376397 1376405 1376978 1376983) (-845 "OM.spad" 1375394 1375402 1376387 1376392) (-844 "OINTDOM.spad" 1375157 1375165 1375320 1375389) (-843 "OFMONOID.spad" 1373296 1373306 1375113 1375118) (-842 "ODVAR.spad" 1372557 1372567 1373286 1373291) (-841 "ODR.spad" 1372201 1372227 1372369 1372518) (-840 "ODPOL.spad" 1369412 1369422 1369752 1369879) (-839 "ODP.spad" 1356911 1356931 1357284 1357383) (-838 "ODETOOLS.spad" 1355560 1355579 1356901 1356906) (-837 "ODESYS.spad" 1353254 1353271 1355550 1355555) (-836 "ODERTRIC.spad" 1349287 1349304 1353211 1353216) (-835 "ODERED.spad" 1348686 1348710 1349277 1349282) (-834 "ODERAT.spad" 1346317 1346334 1348676 1348681) (-833 "ODEPRRIC.spad" 1343410 1343432 1346307 1346312) (-832 "ODEPROB.spad" 1342667 1342675 1343400 1343405) (-831 "ODEPRIM.spad" 1340065 1340087 1342657 1342662) (-830 "ODEPAL.spad" 1339451 1339475 1340055 1340060) (-829 "ODEPACK.spad" 1326181 1326189 1339441 1339446) (-828 "ODEINT.spad" 1325616 1325632 1326171 1326176) (-827 "ODEIFTBL.spad" 1323019 1323027 1325606 1325611) (-826 "ODEEF.spad" 1318510 1318526 1323009 1323014) (-825 "ODECONST.spad" 1318055 1318073 1318500 1318505) (-824 "ODECAT.spad" 1316653 1316661 1318045 1318050) (-823 "OCTCT2.spad" 1316291 1316312 1316643 1316648) (-822 "OCT.spad" 1314379 1314389 1315093 1315132) (-821 "OCAMON.spad" 1314227 1314235 1314369 1314374) (-820 "OC.spad" 1312023 1312033 1314183 1314222) (-819 "OC.spad" 1309541 1309553 1311703 1311708) (-818 "OASGP.spad" 1309356 1309364 1309531 1309536) (-817 "OAMONS.spad" 1308878 1308886 1309346 1309351) (-816 "OAMON.spad" 1308636 1308644 1308868 1308873) (-815 "OAMON.spad" 1308392 1308402 1308626 1308631) (-814 "OAGROUP.spad" 1307930 1307938 1308382 1308387) (-813 "OAGROUP.spad" 1307466 1307476 1307920 1307925) (-812 "NUMTUBE.spad" 1307057 1307073 1307456 1307461) (-811 "NUMQUAD.spad" 1295033 1295041 1307047 1307052) (-810 "NUMODE.spad" 1286385 1286393 1295023 1295028) (-809 "NUMINT.spad" 1283951 1283959 1286375 1286380) (-808 "NUMFMT.spad" 1282791 1282799 1283941 1283946) (-807 "NUMERIC.spad" 1274905 1274915 1282596 1282601) (-806 "NTSCAT.spad" 1273413 1273429 1274873 1274900) (-805 "NTPOLFN.spad" 1272958 1272968 1273324 1273329) (-804 "NSUP2.spad" 1272350 1272362 1272948 1272953) (-803 "NSUP.spad" 1265345 1265355 1269765 1269918) (-802 "NSMP.spad" 1261444 1261463 1261736 1261863) (-801 "NREP.spad" 1259846 1259860 1261434 1261439) (-800 "NPCOEF.spad" 1259092 1259112 1259836 1259841) (-799 "NORMRETR.spad" 1258690 1258729 1259082 1259087) (-798 "NORMPK.spad" 1256632 1256651 1258680 1258685) (-797 "NORMMA.spad" 1256320 1256346 1256622 1256627) (-796 "NONE1.spad" 1255996 1256006 1256310 1256315) (-795 "NONE.spad" 1255737 1255745 1255986 1255991) (-794 "NODE1.spad" 1255224 1255240 1255727 1255732) (-793 "NNI.spad" 1254119 1254127 1255198 1255219) (-792 "NLINSOL.spad" 1252745 1252755 1254109 1254114) (-791 "NIPROB.spad" 1251286 1251294 1252735 1252740) (-790 "NFINTBAS.spad" 1248846 1248863 1251276 1251281) (-789 "NETCLT.spad" 1248820 1248831 1248836 1248841) (-788 "NCODIV.spad" 1247044 1247060 1248810 1248815) (-787 "NCNTFRAC.spad" 1246686 1246700 1247034 1247039) (-786 "NCEP.spad" 1244852 1244866 1246676 1246681) (-785 "NASRING.spad" 1244456 1244464 1244842 1244847) (-784 "NASRING.spad" 1244058 1244068 1244446 1244451) (-783 "NARNG.spad" 1243458 1243466 1244048 1244053) (-782 "NARNG.spad" 1242856 1242866 1243448 1243453) (-781 "NAGSP.spad" 1241933 1241941 1242846 1242851) (-780 "NAGS.spad" 1231650 1231658 1241923 1241928) (-779 "NAGF07.spad" 1230081 1230089 1231640 1231645) (-778 "NAGF04.spad" 1224483 1224491 1230071 1230076) (-777 "NAGF02.spad" 1218576 1218584 1224473 1224478) (-776 "NAGF01.spad" 1214345 1214353 1218566 1218571) (-775 "NAGE04.spad" 1208053 1208061 1214335 1214340) (-774 "NAGE02.spad" 1198705 1198713 1208043 1208048) (-773 "NAGE01.spad" 1194699 1194707 1198695 1198700) (-772 "NAGD03.spad" 1192695 1192703 1194689 1194694) (-771 "NAGD02.spad" 1185426 1185434 1192685 1192690) (-770 "NAGD01.spad" 1179711 1179719 1185416 1185421) (-769 "NAGC06.spad" 1175578 1175586 1179701 1179706) (-768 "NAGC05.spad" 1174071 1174079 1175568 1175573) (-767 "NAGC02.spad" 1173346 1173354 1174061 1174066) (-766 "NAALG.spad" 1172911 1172921 1173314 1173341) (-765 "NAALG.spad" 1172496 1172508 1172901 1172906) (-764 "MULTSQFR.spad" 1169454 1169471 1172486 1172491) (-763 "MULTFACT.spad" 1168837 1168854 1169444 1169449) (-762 "MTSCAT.spad" 1166931 1166952 1168735 1168832) (-761 "MTHING.spad" 1166590 1166600 1166921 1166926) (-760 "MSYSCMD.spad" 1166024 1166032 1166580 1166585) (-759 "MSETAGG.spad" 1165869 1165879 1165992 1166019) (-758 "MSET.spad" 1163782 1163792 1165530 1165569) (-757 "MRING.spad" 1160759 1160771 1163490 1163557) (-756 "MRF2.spad" 1160321 1160335 1160749 1160754) (-755 "MRATFAC.spad" 1159867 1159884 1160311 1160316) (-754 "MPRFF.spad" 1157907 1157926 1159857 1159862) (-753 "MPOLY.spad" 1155306 1155321 1155665 1155792) (-752 "MPCPF.spad" 1154570 1154589 1155296 1155301) (-751 "MPC3.spad" 1154387 1154427 1154560 1154565) (-750 "MPC2.spad" 1154040 1154073 1154377 1154382) (-749 "MONOTOOL.spad" 1152391 1152408 1154030 1154035) (-748 "MONOID.spad" 1151710 1151718 1152381 1152386) (-747 "MONOID.spad" 1151027 1151037 1151700 1151705) (-746 "MONOGEN.spad" 1149775 1149788 1150887 1151022) (-745 "MONOGEN.spad" 1148545 1148560 1149659 1149664) (-744 "MONADWU.spad" 1146623 1146631 1148535 1148540) (-743 "MONADWU.spad" 1144699 1144709 1146613 1146618) (-742 "MONAD.spad" 1143859 1143867 1144689 1144694) (-741 "MONAD.spad" 1143017 1143027 1143849 1143854) (-740 "MOEBIUS.spad" 1141753 1141767 1142997 1143012) (-739 "MODULE.spad" 1141623 1141633 1141721 1141748) (-738 "MODULE.spad" 1141513 1141525 1141613 1141618) 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493452) (-337 "FAMR.spad" 489729 489743 491485 491490) (-336 "FAMONOID.spad" 489413 489423 489683 489688) (-335 "FAMONC.spad" 487733 487745 489403 489408) (-334 "FAGROUP.spad" 487373 487383 487629 487656) (-333 "FACUTIL.spad" 485585 485602 487363 487368) (-332 "FACTFUNC.spad" 484787 484797 485575 485580) (-331 "EXPUPXS.spad" 481539 481562 482838 482987) (-330 "EXPRTUBE.spad" 478827 478835 481529 481534) (-329 "EXPRODE.spad" 475995 476011 478817 478822) (-328 "EXPR2UPS.spad" 472117 472130 475985 475990) (-327 "EXPR2.spad" 471822 471834 472107 472112) (-326 "EXPR.spad" 466907 466917 467621 467916) (-325 "EXPEXPAN.spad" 463651 463676 464283 464376) (-324 "EXITAST.spad" 463387 463395 463641 463646) (-323 "EXIT.spad" 463058 463066 463377 463382) (-322 "EVALCYC.spad" 462518 462532 463048 463053) (-321 "EVALAB.spad" 462098 462108 462508 462513) (-320 "EVALAB.spad" 461676 461688 462088 462093) (-319 "EUCDOM.spad" 459266 459274 461602 461671) (-318 "EUCDOM.spad" 456918 456928 459256 459261) 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"DVARCAT.spad" 373212 373224 376314 376319) (-275 "DSMP.spad" 370508 370522 370813 370940) (-274 "DSEXT.spad" 369810 369820 370498 370503) (-273 "DSEXT.spad" 369016 369028 369706 369711) (-272 "DROPT1.spad" 368681 368691 369006 369011) (-271 "DROPT0.spad" 363546 363554 368671 368676) (-270 "DROPT.spad" 357505 357513 363536 363541) (-269 "DRAWPT.spad" 355678 355686 357495 357500) (-268 "DRAWHACK.spad" 354986 354996 355668 355673) (-267 "DRAWCX.spad" 352464 352472 354976 354981) (-266 "DRAWCURV.spad" 352011 352026 352454 352459) (-265 "DRAWCFUN.spad" 341543 341551 352001 352006) (-264 "DRAW.spad" 334419 334432 341533 341538) (-263 "DQAGG.spad" 332597 332607 334387 334414) (-262 "DPOLCAT.spad" 327954 327970 332465 332592) (-261 "DPOLCAT.spad" 323397 323415 327910 327915) (-260 "DPMO.spad" 314920 314936 315058 315271) (-259 "DPMM.spad" 306456 306474 306581 306794) (-258 "DOMTMPLT.spad" 306227 306235 306446 306451) (-257 "DOMCTOR.spad" 305982 305990 306217 306222) (-256 "DOMAIN.spad" 305093 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(-155 "CLIP.spad" 174877 174885 178759 178764) (-154 "CLIF.spad" 173532 173548 174833 174872) (-153 "CLAGG.spad" 170069 170079 173522 173527) (-152 "CLAGG.spad" 166474 166486 169929 169934) (-151 "CINTSLPE.spad" 165829 165842 166464 166469) (-150 "CHVAR.spad" 163967 163989 165819 165824) (-149 "CHARZ.spad" 163882 163890 163947 163962) (-148 "CHARPOL.spad" 163408 163418 163872 163877) (-147 "CHARNZ.spad" 163170 163178 163388 163403) (-146 "CHAR.spad" 160538 160546 163160 163165) (-145 "CFCAT.spad" 159866 159874 160528 160533) (-144 "CDEN.spad" 159086 159100 159856 159861) (-143 "CCLASS.spad" 157182 157190 158444 158483) (-142 "CATEGORY.spad" 156256 156264 157172 157177) (-141 "CATCTOR.spad" 156147 156155 156246 156251) (-140 "CATAST.spad" 155773 155781 156137 156142) (-139 "CASEAST.spad" 155487 155495 155763 155768) (-138 "CARTEN2.spad" 154877 154904 155477 155482) (-137 "CARTEN.spad" 150244 150268 154867 154872) (-136 "CARD.spad" 147539 147547 150218 150239) (-135 "CAPSLAST.spad" 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(-114 "BOOLEAN.spad" 122803 122811 123355 123360) (-113 "BOOLE.spad" 122453 122461 122793 122798) (-112 "BOOLE.spad" 122101 122111 122443 122448) (-111 "BMODULE.spad" 121813 121825 122069 122096) (-110 "BITS.spad" 121187 121195 121402 121429) (-109 "BINDING.spad" 120608 120616 121177 121182) (-108 "BINARY.spad" 118577 118585 118933 119026) (-107 "BGAGG.spad" 117782 117792 118557 118572) (-106 "BGAGG.spad" 116995 117007 117772 117777) (-105 "BFUNCT.spad" 116559 116567 116975 116990) (-104 "BEZOUT.spad" 115699 115726 116509 116514) (-103 "BBTREE.spad" 112447 112457 115177 115204) (-102 "BASTYPE.spad" 111946 111954 112437 112442) (-101 "BASTYPE.spad" 111443 111453 111936 111941) (-100 "BALFACT.spad" 110902 110915 111433 111438) (-99 "AUTOMOR.spad" 110353 110362 110882 110897) (-98 "ATTREG.spad" 107076 107083 110105 110348) (-97 "ATTRBUT.spad" 103099 103106 107056 107071) (-96 "ATTRAST.spad" 102816 102823 103089 103094) (-95 "ATRIG.spad" 102286 102293 102806 102811) (-94 "ATRIG.spad" 101754 101763 102276 102281) (-93 "ASTCAT.spad" 101658 101665 101744 101749) (-92 "ASTCAT.spad" 101560 101569 101648 101653) (-91 "ASTACK.spad" 100770 100779 101038 101065) (-90 "ASSOCEQ.spad" 99604 99615 100726 100731) (-89 "ASP9.spad" 98685 98698 99594 99599) (-88 "ASP80.spad" 98007 98020 98675 98680) (-87 "ASP8.spad" 97050 97063 97997 98002) (-86 "ASP78.spad" 96501 96514 97040 97045) (-85 "ASP77.spad" 95870 95883 96491 96496) (-84 "ASP74.spad" 94962 94975 95860 95865) (-83 "ASP73.spad" 94233 94246 94952 94957) (-82 "ASP7.spad" 93393 93406 94223 94228) (-81 "ASP6.spad" 92260 92273 93383 93388) (-80 "ASP55.spad" 90769 90782 92250 92255) (-79 "ASP50.spad" 88586 88599 90759 90764) (-78 "ASP49.spad" 87585 87598 88576 88581) (-77 "ASP42.spad" 86000 86039 87575 87580) (-76 "ASP41.spad" 84587 84626 85990 85995) (-75 "ASP4.spad" 83882 83895 84577 84582) (-74 "ASP35.spad" 82870 82883 83872 83877) (-73 "ASP34.spad" 82171 82184 82860 82865) (-72 "ASP33.spad" 81731 81744 82161 82166) (-71 "ASP31.spad" 80871 80884 81721 81726) (-70 "ASP30.spad" 79763 79776 80861 80866) (-69 "ASP29.spad" 79229 79242 79753 79758) (-68 "ASP28.spad" 70502 70515 79219 79224) (-67 "ASP27.spad" 69399 69412 70492 70497) (-66 "ASP24.spad" 68486 68499 69389 69394) (-65 "ASP20.spad" 67950 67963 68476 68481) (-64 "ASP19.spad" 62636 62649 67940 67945) (-63 "ASP12.spad" 62050 62063 62626 62631) (-62 "ASP10.spad" 61321 61334 62040 62045) (-61 "ASP1.spad" 60702 60715 61311 61316) (-60 "ARRAY2.spad" 59941 59950 60180 60207) (-59 "ARRAY12.spad" 58654 58665 59931 59936) (-58 "ARRAY1.spad" 57317 57326 57663 57690) (-57 "ARR2CAT.spad" 53099 53120 57285 57312) (-56 "ARR2CAT.spad" 48901 48924 53089 53094) (-55 "ARITY.spad" 48273 48280 48891 48896) (-54 "APPRULE.spad" 47557 47579 48263 48268) (-53 "APPLYORE.spad" 47176 47189 47547 47552) (-52 "ANY1.spad" 46247 46256 47166 47171) (-51 "ANY.spad" 45098 45105 46237 46242) (-50 "ANTISYM.spad" 43543 43559 45078 45093) (-49 "ANON.spad" 43252 43259 43533 43538) (-48 "AN.spad" 41558 41565 43065 43158) (-47 "AMR.spad" 39743 39754 41456 41553) (-46 "AMR.spad" 37759 37772 39474 39479) (-45 "ALIST.spad" 34599 34620 34949 34976) (-44 "ALGSC.spad" 33734 33760 34471 34524) (-43 "ALGPKG.spad" 29517 29528 33690 33695) (-42 "ALGMFACT.spad" 28710 28724 29507 29512) (-41 "ALGMANIP.spad" 26194 26209 28537 28542) (-40 "ALGFF.spad" 23799 23826 24016 24172) (-39 "ALGFACT.spad" 22918 22928 23789 23794) (-38 "ALGEBRA.spad" 22751 22760 22874 22913) (-37 "ALGEBRA.spad" 22616 22627 22741 22746) (-36 "ALAGG.spad" 22128 22149 22584 22611) (-35 "AHYP.spad" 21509 21516 22118 22123) (-34 "AGG.spad" 19842 19849 21499 21504) (-33 "AGG.spad" 18139 18148 19798 19803) (-32 "AF.spad" 16567 16582 18071 18076) (-31 "ADDAST.spad" 16253 16260 16557 16562) (-30 "ACPLOT.spad" 14844 14851 16243 16248) (-29 "ACFS.spad" 12701 12710 14746 14839) (-28 "ACFS.spad" 10644 10655 12691 12696) (-27 "ACF.spad" 7398 7405 10546 10639) (-26 "ACF.spad" 4238 4247 7388 7393) (-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 2294535 2294540 2294545 2294550) (-2 NIL 2294515 2294520 2294525 2294530) (-1 NIL 2294495 2294500 2294505 2294510) (0 NIL 2294475 2294480 2294485 2294490) (-1329 "ZMOD.spad" 2294284 2294297 2294413 2294470) (-1328 "ZLINDEP.spad" 2293382 2293393 2294274 2294279) (-1327 "ZDSOLVE.spad" 2283342 2283364 2293372 2293377) (-1326 "YSTREAM.spad" 2282837 2282848 2283332 2283337) (-1325 "YDIAGRAM.spad" 2282471 2282480 2282827 2282832) (-1324 "XRPOLY.spad" 2281691 2281711 2282327 2282396) (-1323 "XPR.spad" 2279486 2279499 2281409 2281508) (-1322 "XPOLYC.spad" 2278805 2278821 2279412 2279481) (-1321 "XPOLY.spad" 2278360 2278371 2278661 2278730) (-1320 "XPBWPOLY.spad" 2276799 2276819 2278134 2278203) (-1319 "XFALG.spad" 2273847 2273863 2276725 2276794) (-1318 "XF.spad" 2272310 2272325 2273749 2273842) (-1317 "XF.spad" 2270753 2270770 2272194 2272199) (-1316 "XEXPPKG.spad" 2270012 2270038 2270743 2270748) (-1315 "XDPOLY.spad" 2269626 2269642 2269868 2269937) (-1314 "XALG.spad" 2269294 2269305 2269582 2269621) (-1313 "WUTSET.spad" 2265264 2265281 2268895 2268922) (-1312 "WP.spad" 2264471 2264515 2265122 2265189) (-1311 "WHILEAST.spad" 2264269 2264278 2264461 2264466) (-1310 "WHEREAST.spad" 2263940 2263949 2264259 2264264) (-1309 "WFFINTBS.spad" 2261603 2261625 2263930 2263935) (-1308 "WEIER.spad" 2259825 2259836 2261593 2261598) (-1307 "VSPACE.spad" 2259498 2259509 2259793 2259820) (-1306 "VSPACE.spad" 2259191 2259204 2259488 2259493) (-1305 "VOID.spad" 2258868 2258877 2259181 2259186) (-1304 "VIEWDEF.spad" 2254069 2254078 2258858 2258863) (-1303 "VIEW3D.spad" 2238030 2238039 2254059 2254064) (-1302 "VIEW2D.spad" 2225929 2225938 2238020 2238025) (-1301 "VIEW.spad" 2223649 2223658 2225919 2225924) (-1300 "VECTOR2.spad" 2222288 2222301 2223639 2223644) (-1299 "VECTOR.spad" 2220788 2220799 2221039 2221066) (-1298 "VECTCAT.spad" 2218700 2218711 2220756 2220783) (-1297 "VECTCAT.spad" 2216419 2216432 2218477 2218482) (-1296 "VARIABLE.spad" 2216199 2216214 2216409 2216414) (-1295 "UTYPE.spad" 2215843 2215852 2216189 2216194) (-1294 "UTSODETL.spad" 2215138 2215162 2215799 2215804) (-1293 "UTSODE.spad" 2213354 2213374 2215128 2215133) (-1292 "UTSCAT.spad" 2210833 2210849 2213252 2213349) (-1291 "UTSCAT.spad" 2207932 2207950 2210353 2210358) (-1290 "UTS2.spad" 2207527 2207562 2207922 2207927) (-1289 "UTS.spad" 2202405 2202433 2205925 2206022) (-1288 "URAGG.spad" 2197126 2197137 2202395 2202400) (-1287 "URAGG.spad" 2191811 2191824 2197082 2197087) (-1286 "UPXSSING.spad" 2189429 2189455 2190865 2190998) (-1285 "UPXSCONS.spad" 2187107 2187127 2187480 2187629) (-1284 "UPXSCCA.spad" 2185678 2185698 2186953 2187102) (-1283 "UPXSCCA.spad" 2184391 2184413 2185668 2185673) (-1282 "UPXSCAT.spad" 2182980 2182996 2184237 2184386) (-1281 "UPXS2.spad" 2182523 2182576 2182970 2182975) (-1280 "UPXS.spad" 2179738 2179766 2180574 2180723) (-1279 "UPSQFREE.spad" 2178152 2178166 2179728 2179733) (-1278 "UPSCAT.spad" 2175947 2175971 2178050 2178147) (-1277 "UPSCAT.spad" 2173427 2173453 2175532 2175537) (-1276 "UPOLYC2.spad" 2172898 2172917 2173417 2173422) (-1275 "UPOLYC.spad" 2167978 2167989 2172740 2172893) (-1274 "UPOLYC.spad" 2162944 2162957 2167708 2167713) (-1273 "UPMP.spad" 2161876 2161889 2162934 2162939) (-1272 "UPDIVP.spad" 2161441 2161455 2161866 2161871) (-1271 "UPDECOMP.spad" 2159702 2159716 2161431 2161436) (-1270 "UPCDEN.spad" 2158919 2158935 2159692 2159697) (-1269 "UP2.spad" 2158283 2158304 2158909 2158914) (-1268 "UP.spad" 2155311 2155326 2155698 2155851) (-1267 "UNISEG2.spad" 2154808 2154821 2155267 2155272) (-1266 "UNISEG.spad" 2154161 2154172 2154727 2154732) (-1265 "UNIFACT.spad" 2153264 2153276 2154151 2154156) (-1264 "ULSCONS.spad" 2144176 2144196 2144546 2144695) (-1263 "ULSCCAT.spad" 2141913 2141933 2144022 2144171) (-1262 "ULSCCAT.spad" 2139758 2139780 2141869 2141874) (-1261 "ULSCAT.spad" 2137998 2138014 2139604 2139753) (-1260 "ULS2.spad" 2137512 2137565 2137988 2137993) (-1259 "ULS.spad" 2127083 2127111 2128028 2128457) (-1258 "UINT8.spad" 2126960 2126969 2127073 2127078) (-1257 "UINT64.spad" 2126836 2126845 2126950 2126955) (-1256 "UINT32.spad" 2126712 2126721 2126826 2126831) (-1255 "UINT16.spad" 2126588 2126597 2126702 2126707) (-1254 "UFD.spad" 2125653 2125662 2126514 2126583) (-1253 "UFD.spad" 2124780 2124791 2125643 2125648) (-1252 "UDVO.spad" 2123661 2123670 2124770 2124775) (-1251 "UDPO.spad" 2121242 2121253 2123617 2123622) (-1250 "TYPEAST.spad" 2121161 2121170 2121232 2121237) (-1249 "TYPE.spad" 2121093 2121102 2121151 2121156) (-1248 "TWOFACT.spad" 2119745 2119760 2121083 2121088) (-1247 "TUPLE.spad" 2119236 2119247 2119641 2119646) (-1246 "TUBETOOL.spad" 2116103 2116112 2119226 2119231) (-1245 "TUBE.spad" 2114750 2114767 2116093 2116098) (-1244 "TSETCAT.spad" 2102821 2102838 2114718 2114745) (-1243 "TSETCAT.spad" 2090878 2090897 2102777 2102782) (-1242 "TS.spad" 2089471 2089487 2090437 2090534) (-1241 "TRMANIP.spad" 2083835 2083852 2089159 2089164) (-1240 "TRIMAT.spad" 2082798 2082823 2083825 2083830) (-1239 "TRIGMNIP.spad" 2081325 2081342 2082788 2082793) (-1238 "TRIGCAT.spad" 2080837 2080846 2081315 2081320) (-1237 "TRIGCAT.spad" 2080347 2080358 2080827 2080832) (-1236 "TREE.spad" 2078793 2078804 2079825 2079852) (-1235 "TRANFUN.spad" 2078632 2078641 2078783 2078788) (-1234 "TRANFUN.spad" 2078469 2078480 2078622 2078627) (-1233 "TOPSP.spad" 2078143 2078152 2078459 2078464) (-1232 "TOOLSIGN.spad" 2077806 2077817 2078133 2078138) (-1231 "TEXTFILE.spad" 2076367 2076376 2077796 2077801) (-1230 "TEX1.spad" 2075923 2075934 2076357 2076362) (-1229 "TEX.spad" 2073117 2073126 2075913 2075918) (-1228 "TEMUTL.spad" 2072672 2072681 2073107 2073112) (-1227 "TBCMPPK.spad" 2070773 2070796 2072662 2072667) (-1226 "TBAGG.spad" 2069831 2069854 2070753 2070768) (-1225 "TBAGG.spad" 2068897 2068922 2069821 2069826) (-1224 "TANEXP.spad" 2068305 2068316 2068887 2068892) (-1223 "TALGOP.spad" 2068029 2068040 2068295 2068300) (-1222 "TABLEAU.spad" 2067510 2067521 2068019 2068024) (-1221 "TABLE.spad" 2065443 2065466 2065713 2065740) (-1220 "TABLBUMP.spad" 2062222 2062233 2065433 2065438) (-1219 "SYSTEM.spad" 2061450 2061459 2062212 2062217) (-1218 "SYSSOLP.spad" 2058933 2058944 2061440 2061445) (-1217 "SYSPTR.spad" 2058832 2058841 2058923 2058928) (-1216 "SYSNNI.spad" 2058055 2058066 2058822 2058827) (-1215 "SYSINT.spad" 2057459 2057470 2058045 2058050) (-1214 "SYNTAX.spad" 2053793 2053802 2057449 2057454) (-1213 "SYMTAB.spad" 2051861 2051870 2053783 2053788) (-1212 "SYMS.spad" 2047884 2047893 2051851 2051856) (-1211 "SYMPOLY.spad" 2046863 2046874 2046945 2047072) (-1210 "SYMFUNC.spad" 2046364 2046375 2046853 2046858) (-1209 "SYMBOL.spad" 2043859 2043868 2046354 2046359) (-1208 "SWITCH.spad" 2040630 2040639 2043849 2043854) (-1207 "SUTS.spad" 2037609 2037637 2039028 2039125) (-1206 "SUPXS.spad" 2034811 2034839 2035660 2035809) (-1205 "SUPFRACF.spad" 2033916 2033934 2034801 2034806) (-1204 "SUP2.spad" 2033308 2033321 2033906 2033911) (-1203 "SUP.spad" 2029950 2029961 2030723 2030876) (-1202 "SUMRF.spad" 2028924 2028935 2029940 2029945) (-1201 "SUMFS.spad" 2028553 2028570 2028914 2028919) (-1200 "SULS.spad" 2018111 2018139 2019069 2019498) (-1199 "SUCHTAST.spad" 2017880 2017889 2018101 2018106) (-1198 "SUCH.spad" 2017570 2017585 2017870 2017875) (-1197 "SUBSPACE.spad" 2009701 2009716 2017560 2017565) (-1196 "SUBRESP.spad" 2008871 2008885 2009657 2009662) (-1195 "STTFNC.spad" 2005339 2005355 2008861 2008866) (-1194 "STTF.spad" 2001438 2001454 2005329 2005334) (-1193 "STTAYLOR.spad" 1994083 1994094 2001313 2001318) (-1192 "STRTBL.spad" 1992098 1992115 1992247 1992274) (-1191 "STRING.spad" 1990864 1990873 1991085 1991112) (-1190 "STREAM3.spad" 1990437 1990452 1990854 1990859) (-1189 "STREAM2.spad" 1989565 1989578 1990427 1990432) (-1188 "STREAM1.spad" 1989271 1989282 1989555 1989560) (-1187 "STREAM.spad" 1986057 1986068 1988664 1988679) (-1186 "STINPROD.spad" 1984993 1985009 1986047 1986052) (-1185 "STEPAST.spad" 1984227 1984236 1984983 1984988) (-1184 "STEP.spad" 1983436 1983445 1984217 1984222) (-1183 "STBL.spad" 1981484 1981512 1981651 1981666) (-1182 "STAGG.spad" 1980559 1980570 1981474 1981479) (-1181 "STAGG.spad" 1979632 1979645 1980549 1980554) (-1180 "STACK.spad" 1978860 1978871 1979110 1979137) (-1179 "SRING.spad" 1978620 1978629 1978850 1978855) (-1178 "SREGSET.spad" 1976319 1976336 1978221 1978248) (-1177 "SRDCMPK.spad" 1974896 1974916 1976309 1976314) (-1176 "SRAGG.spad" 1970079 1970088 1974864 1974891) (-1175 "SRAGG.spad" 1965282 1965293 1970069 1970074) (-1174 "SQMATRIX.spad" 1962777 1962795 1963693 1963780) (-1173 "SPLTREE.spad" 1957243 1957256 1962039 1962066) (-1172 "SPLNODE.spad" 1953863 1953876 1957233 1957238) (-1171 "SPFCAT.spad" 1952672 1952681 1953853 1953858) (-1170 "SPECOUT.spad" 1951224 1951233 1952662 1952667) (-1169 "SPADXPT.spad" 1943315 1943324 1951214 1951219) (-1168 "spad-parser.spad" 1942780 1942789 1943305 1943310) (-1167 "SPADAST.spad" 1942481 1942490 1942770 1942775) (-1166 "SPACEC.spad" 1926696 1926707 1942471 1942476) (-1165 "SPACE3.spad" 1926472 1926483 1926686 1926691) (-1164 "SORTPAK.spad" 1926021 1926034 1926428 1926433) (-1163 "SOLVETRA.spad" 1923784 1923795 1926011 1926016) (-1162 "SOLVESER.spad" 1922240 1922251 1923774 1923779) (-1161 "SOLVERAD.spad" 1918266 1918277 1922230 1922235) (-1160 "SOLVEFOR.spad" 1916728 1916746 1918256 1918261) (-1159 "SNTSCAT.spad" 1916328 1916345 1916696 1916723) (-1158 "SMTS.spad" 1914610 1914636 1915887 1915984) (-1157 "SMP.spad" 1912013 1912033 1912403 1912530) (-1156 "SMITH.spad" 1910858 1910883 1912003 1912008) (-1155 "SMATCAT.spad" 1908976 1909006 1910802 1910853) (-1154 "SMATCAT.spad" 1907026 1907058 1908854 1908859) (-1153 "SKAGG.spad" 1905995 1906006 1906994 1907021) (-1152 "SINT.spad" 1904935 1904944 1905861 1905990) (-1151 "SIMPAN.spad" 1904663 1904672 1904925 1904930) (-1150 "SIGNRF.spad" 1903781 1903792 1904653 1904658) (-1149 "SIGNEF.spad" 1903060 1903077 1903771 1903776) (-1148 "SIGAST.spad" 1902477 1902486 1903050 1903055) (-1147 "SIG.spad" 1901839 1901848 1902467 1902472) (-1146 "SHP.spad" 1899783 1899798 1901795 1901800) (-1145 "SHDP.spad" 1887138 1887165 1887655 1887754) (-1144 "SGROUP.spad" 1886746 1886755 1887128 1887133) (-1143 "SGROUP.spad" 1886352 1886363 1886736 1886741) (-1142 "SGCF.spad" 1879491 1879500 1886342 1886347) (-1141 "SFRTCAT.spad" 1878437 1878454 1879459 1879486) (-1140 "SFRGCD.spad" 1877500 1877520 1878427 1878432) (-1139 "SFQCMPK.spad" 1872313 1872333 1877490 1877495) (-1138 "SFORT.spad" 1871752 1871766 1872303 1872308) (-1137 "SEXOF.spad" 1871595 1871635 1871742 1871747) (-1136 "SEXCAT.spad" 1869423 1869463 1871585 1871590) (-1135 "SEX.spad" 1869315 1869324 1869413 1869418) (-1134 "SETMN.spad" 1867773 1867790 1869305 1869310) (-1133 "SETCAT.spad" 1867258 1867267 1867763 1867768) (-1132 "SETCAT.spad" 1866741 1866752 1867248 1867253) (-1131 "SETAGG.spad" 1863290 1863301 1866721 1866736) (-1130 "SETAGG.spad" 1859847 1859860 1863280 1863285) (-1129 "SET.spad" 1858120 1858131 1859217 1859256) (-1128 "SEQAST.spad" 1857823 1857832 1858110 1858115) (-1127 "SEGXCAT.spad" 1856979 1856992 1857813 1857818) (-1126 "SEGCAT.spad" 1855904 1855915 1856969 1856974) (-1125 "SEGBIND2.spad" 1855602 1855615 1855894 1855899) (-1124 "SEGBIND.spad" 1855360 1855371 1855549 1855554) (-1123 "SEGAST.spad" 1855090 1855099 1855350 1855355) (-1122 "SEG2.spad" 1854525 1854538 1855046 1855051) (-1121 "SEG.spad" 1854338 1854349 1854444 1854449) (-1120 "SDVAR.spad" 1853614 1853625 1854328 1854333) (-1119 "SDPOL.spad" 1850869 1850880 1851160 1851287) (-1118 "SCPKG.spad" 1848958 1848969 1850859 1850864) (-1117 "SCOPE.spad" 1848135 1848144 1848948 1848953) (-1116 "SCACHE.spad" 1846831 1846842 1848125 1848130) (-1115 "SASTCAT.spad" 1846740 1846749 1846821 1846826) (-1114 "SAOS.spad" 1846612 1846621 1846730 1846735) (-1113 "SAERFFC.spad" 1846325 1846345 1846602 1846607) (-1112 "SAEFACT.spad" 1846026 1846046 1846315 1846320) (-1111 "SAE.spad" 1843460 1843476 1844071 1844206) (-1110 "RURPK.spad" 1841119 1841135 1843450 1843455) (-1109 "RULESET.spad" 1840572 1840596 1841109 1841114) (-1108 "RULECOLD.spad" 1840424 1840437 1840562 1840567) (-1107 "RULE.spad" 1838672 1838696 1840414 1840419) (-1106 "RTVALUE.spad" 1838407 1838416 1838662 1838667) (-1105 "RSTRCAST.spad" 1838124 1838133 1838397 1838402) (-1104 "RSETGCD.spad" 1834566 1834586 1838114 1838119) (-1103 "RSETCAT.spad" 1824534 1824551 1834534 1834561) (-1102 "RSETCAT.spad" 1814522 1814541 1824524 1824529) (-1101 "RSDCMPK.spad" 1813022 1813042 1814512 1814517) (-1100 "RRCC.spad" 1811406 1811436 1813012 1813017) (-1099 "RRCC.spad" 1809788 1809820 1811396 1811401) (-1098 "RPTAST.spad" 1809490 1809499 1809778 1809783) (-1097 "RPOLCAT.spad" 1788994 1789009 1809358 1809485) (-1096 "RPOLCAT.spad" 1768193 1768210 1788559 1788564) (-1095 "ROUTINE.spad" 1763594 1763603 1766342 1766369) (-1094 "ROMAN.spad" 1762922 1762931 1763460 1763589) (-1093 "ROIRC.spad" 1762002 1762034 1762912 1762917) (-1092 "RNS.spad" 1760978 1760987 1761904 1761997) (-1091 "RNS.spad" 1760040 1760051 1760968 1760973) (-1090 "RNGBIND.spad" 1759200 1759214 1759995 1760000) (-1089 "RNG.spad" 1758935 1758944 1759190 1759195) (-1088 "RMODULE.spad" 1758716 1758727 1758925 1758930) (-1087 "RMCAT2.spad" 1758136 1758193 1758706 1758711) (-1086 "RMATRIX.spad" 1756906 1756925 1757249 1757288) (-1085 "RMATCAT.spad" 1752485 1752516 1756862 1756901) (-1084 "RMATCAT.spad" 1747954 1747987 1752333 1752338) (-1083 "RLINSET.spad" 1747658 1747669 1747944 1747949) (-1082 "RINTERP.spad" 1747546 1747566 1747648 1747653) (-1081 "RING.spad" 1747016 1747025 1747526 1747541) (-1080 "RING.spad" 1746494 1746505 1747006 1747011) (-1079 "RIDIST.spad" 1745886 1745895 1746484 1746489) (-1078 "RGCHAIN.spad" 1744407 1744423 1745301 1745328) (-1077 "RGBCSPC.spad" 1744196 1744208 1744397 1744402) (-1076 "RGBCMDL.spad" 1743758 1743770 1744186 1744191) (-1075 "RFFACTOR.spad" 1743220 1743231 1743748 1743753) (-1074 "RFFACT.spad" 1742955 1742967 1743210 1743215) (-1073 "RFDIST.spad" 1741951 1741960 1742945 1742950) (-1072 "RF.spad" 1739625 1739636 1741941 1741946) (-1071 "RETSOL.spad" 1739044 1739057 1739615 1739620) (-1070 "RETRACT.spad" 1738472 1738483 1739034 1739039) (-1069 "RETRACT.spad" 1737898 1737911 1738462 1738467) (-1068 "RETAST.spad" 1737710 1737719 1737888 1737893) (-1067 "RESULT.spad" 1735272 1735281 1735859 1735886) (-1066 "RESRING.spad" 1734619 1734666 1735210 1735267) (-1065 "RESLATC.spad" 1733943 1733954 1734609 1734614) (-1064 "REPSQ.spad" 1733674 1733685 1733933 1733938) (-1063 "REPDB.spad" 1733381 1733392 1733664 1733669) (-1062 "REP2.spad" 1723095 1723106 1733223 1733228) (-1061 "REP1.spad" 1717315 1717326 1723045 1723050) (-1060 "REP.spad" 1714869 1714878 1717305 1717310) (-1059 "REGSET.spad" 1712661 1712678 1714470 1714497) (-1058 "REF.spad" 1711996 1712007 1712616 1712621) (-1057 "REDORDER.spad" 1711202 1711219 1711986 1711991) (-1056 "RECLOS.spad" 1709961 1709981 1710665 1710758) (-1055 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T)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-872)) (|has| |#1| (-1133))) (|has| |#1| (-1133)) -(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-872)) (|has| |#1| (-1133))) (|has| |#1| (-1133)) -(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-872)) (|has| |#1| (-1133))) (|has| |#1| (-871)) (((|#1| |#1|) . T)) ((($) . T) (((-421 (-560))) . T)) @@ -170,12 +170,12 @@ (|has| |#3| (-817)) (|has| |#3| (-817)) (((|#1| |#2|) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) ((((-1214)) . T)) (((|#1| |#2|) . T)) (((|#2| |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) (((-1209) |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-528 (-1209) |#2|)))) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) ((((-560)) . T) (((-421 (-560))) . T)) (((|#1| (-1209) (-1120 (-1209)) (-545 (-1120 (-1209)))) . T)) ((((-560) |#1|) . T)) @@ -195,29 +195,29 @@ ((((-1191) |#1|) . T)) ((((-1266 (-560)) $) . T) (((-560) (-130)) . T)) (((|#1|) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) (((|#3| (-793)) . T)) (|has| |#1| (-149)) (|has| |#1| (-147)) ((($) . T) (((-421 (-560))) . T)) ((($) . T)) ((($) . 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T)) ((((-421 (-560))) . T) (($) . T)) @@ -228,7 +228,7 @@ (((|#1|) . T)) (|has| |#2| (-376)) ((((-1266 (-560)) $) . T) (((-560) |#1|) . T)) -((($) -2171 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) +((($) -2172 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) ((($) . T) (((-560)) . T) (((-421 (-560))) . T)) (((|#1| |#2|) . T)) ((((-888)) . T)) @@ -241,13 +241,13 @@ ((((-888)) . T)) ((((-888)) . T)) (((|#1| |#1|) . T)) -(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . T) (($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))) -((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560))))) +(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . 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T) (($) -2172 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))) +((($) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +(((|#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) (($) |has| |#2| (-1081)) (((-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1081)))) ((((-888)) . T)) ((((-888)) . T)) ((((-888)) . T)) @@ -258,10 +258,10 @@ ((((-171 (-229))) |has| |#1| (-1052)) (((-171 (-391))) |has| |#1| (-1052)) (((-549)) |has| |#1| (-633 (-549))) (((-1203 |#1|)) . T) (((-916 (-560))) |has| |#1| (-633 (-916 (-560)))) (((-916 (-391))) |has| |#1| (-633 (-916 (-391))))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#1|) . 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T)) (-12 (|has| |#4| (-240)) (|has| |#4| (-1081))) (-12 (|has| |#3| (-240)) (|has| |#3| (-1081))) -((($) -2171 (|has| |#2| (-240)) (|has| |#2| (-239)))) +((($) -2172 (|has| |#2| (-240)) (|has| |#2| (-239)))) (|has| |#4| (-1081)) (|has| |#3| (-1081)) ((((-888)) . T) (((-1214)) . T)) @@ -283,42 +283,42 @@ (((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) (((|#1|) . T) (((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . 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T)) -((((-2 (|:| -3836 |#1|) (|:| -3562 |#2|))) . T) (((-888)) . T)) +((((-2 (|:| -3838 |#1|) (|:| -1795 |#2|))) . T) (((-888)) . T)) ((((-549)) |has| |#1| (-633 (-549))) (((-916 (-391))) |has| |#1| (-633 (-916 (-391)))) (((-916 (-560))) |has| |#1| (-633 (-916 (-560))))) -(((|#4|) -2171 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1081)))) -(((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081)))) -((((-2 (|:| -3836 |#1|) (|:| -3562 |#2|))) . T)) +(((|#4|) -2172 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1081)))) +(((|#3|) -2172 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081)))) +((((-2 (|:| -3838 |#1|) (|:| -1795 |#2|))) . T)) ((((-888)) . T)) ((((-888)) . T)) ((((-549)) . T) (((-560)) . T) (((-916 (-560))) . T) (((-391)) . T) (((-229)) . T)) @@ -326,7 +326,7 @@ (((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560))))) ((($) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) ((((-421 $) (-421 $)) |has| |#2| (-571)) (($ $) . T) ((|#2| |#2|) . T)) -((($ (-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) +((($ (-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) ((((-2 (|:| -3672 (-1191)) (|:| -1922 (-51)))) . T)) (((|#1|) . T)) (|has| |#2| (-940)) @@ -334,7 +334,7 @@ ((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T)) ((((-549)) . T) (((-229)) . T) (((-391)) . T) (((-916 (-391))) . T)) ((((-888)) . T)) -(-2171 (|has| |#1| (-21)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) +(-2172 (|has| |#1| (-21)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) (((|#1|) |has| |#1| (-175))) (((|#1| $) |has| |#1| (-298 |#1| |#1|))) ((((-888)) . T)) @@ -349,15 +349,15 @@ (|has| |#1| (-1133)) ((((-936 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) (((|#1|) . 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T)) (((|#1| (-1003)) . T)) ((((-560)) . T) ((|#2|) . T)) @@ -381,7 +381,7 @@ (((|#2|) . T)) (((|#1|) . T)) (((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) -((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-842 (-1209))) . T) (($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T)) +((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-842 (-1209))) . T) (($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T)) (|has| |#2| (-381)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) ((($) . T) ((|#1|) . T)) @@ -390,19 +390,19 @@ (|has| |#1| (-871)) (((|#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-321 (-2 (|:| -3672 |#1|) (|:| -1922 |#2|))))) (((|#1|) . T)) -((((-1299 (-352 (-2386) (-2386 (QUOTE X)) (-721)))) . T)) +((((-1299 (-352 (-2387) (-2387 (QUOTE X)) (-721)))) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((#0=(-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) #0#) |has| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (-321 (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))))) ((((-888)) . T)) ((((-560) |#1|) . T)) ((((-549)) -12 (|has| |#1| (-633 (-549))) (|has| |#2| (-633 (-549)))) (((-916 (-391))) -12 (|has| |#1| (-633 (-916 (-391)))) (|has| |#2| (-633 (-916 (-391))))) (((-916 (-560))) -12 (|has| |#1| (-633 (-916 (-560)))) (|has| |#2| (-633 (-916 (-560)))))) ((($) . T)) ((((-888)) . 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T)) (|has| |#1| (-15 * (|#1| (-560) |#1|))) @@ -437,7 +437,7 @@ ((((-888)) . T)) ((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571))) (|has| |#1| (-376)) -(-2171 (-12 (|has| (-1289 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) +(-2172 (-12 (|has| (-1289 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-376)) (|has| |#1| (-15 * (|#1| (-793) |#1|))) @@ -451,23 +451,23 @@ ((((-1266 (-560)) $) . T) (((-560) |#1|) . T)) ((((-888)) . T)) (((|#2|) . T)) -(-2171 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) ((((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571))) ((($) |has| |#1| (-571)) (((-560)) . 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T)) @@ -518,14 +518,14 @@ (((|#3|) |has| |#3| (-1133)) (((-560)) -12 (|has| |#3| (-1070 (-560))) (|has| |#3| (-1133))) (((-421 (-560))) -12 (|has| |#3| (-1070 (-421 (-560)))) (|has| |#3| (-1133)))) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) (((|#1|) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) ((((-549)) |has| |#1| (-633 (-549)))) (((|#1|) |has| |#1| (-175))) ((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T)) (|has| |#1| (-376)) ((((-1214)) . T)) (((|#1|) . T)) -(-2171 (|has| |#1| (-21)) (|has| |#1| (-871))) +(-2172 (|has| |#1| (-21)) (|has| |#1| (-871))) ((($) . T)) ((((-1209) |#1|) |has| |#1| (-528 (-1209) |#1|)) ((|#1| |#1|) |has| |#1| (-321 |#1|))) (|has| |#2| (-844)) @@ -540,15 +540,15 @@ (|has| |#1| (-381)) ((((-421 (-560))) . T)) (((|#1|) . 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T)) (((|#1|) . T)) @@ -1116,8 +1116,8 @@ (((|#1|) . T)) ((((-1209)) . T)) (|has| |#1| (-571)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-571)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) @@ -1143,8 +1143,8 @@ (|has| |#1| (-147)) ((((-421 (-560))) |has| |#2| (-376)) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) -(-2171 (|has| |#1| (-363)) (|has| |#1| (-381))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#1| (-363)) (|has| |#1| (-381))) ((((-1174 |#2| |#1|)) . T) ((|#1|) . T)) (((|#1| |#2|) . T)) (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) @@ -1176,7 +1176,7 @@ ((((-888)) . T)) ((((-888)) . T)) (((|#1| |#2|) . T)) -((((-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))) (((-1114)) . T)) +((((-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))) (((-1114)) . T)) (((|#1|) . T)) (((|#3|) . T) (((-630 $)) . T)) (((|#1| (-421 (-560))) . T)) @@ -1187,7 +1187,7 @@ (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) ((($ (-1296 |#2|)) . T) (($ (-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209))))) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) -((((-560)) -2171 (-12 (|has| |#2| (-1070 (-560))) (|has| |#2| (-1133))) (|has| |#2| (-1081))) ((|#2|) |has| |#2| (-1133)) (((-421 (-560))) -12 (|has| |#2| (-1070 (-421 (-560)))) (|has| |#2| (-1133)))) +((((-560)) -2172 (-12 (|has| |#2| (-1070 (-560))) (|has| |#2| (-1133))) (|has| |#2| (-1081))) ((|#2|) |has| |#2| (-1133)) (((-421 (-560))) -12 (|has| |#2| (-1070 (-421 (-560)))) (|has| |#2| (-1133)))) (((|#1|) . T) (((-421 (-560))) . T) (($) . T)) ((($ $) . T) ((|#2| $) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) @@ -1203,7 +1203,7 @@ (((|#1|) . T)) ((($) . T) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) ((((-1209) (-51)) . T)) -((((-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) +((((-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) (((|#3|) . T)) ((($ $) . T) ((#0=(-889 |#1|) $) . T) ((#0# |#2|) . T)) (|has| |#1| (-845)) @@ -1211,10 +1211,10 @@ ((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T)) ((((-560)) . T) (($) . T) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (|has| (-1121 |#1|) (-1133)) -(((|#2| |#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) -(((|#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)))) +(((|#2| |#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) +(((|#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)))) ((((-560) (-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T) ((|#1| |#2|) . T)) -(((|#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) +(((|#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) ((((-560)) . T)) ((((-1214)) . T)) ((((-793)) . T)) @@ -1233,31 +1233,31 @@ (((|#1|) . T)) ((((-421 (-560))) . T) (($) . T)) ((($) . T) (((-421 (-560))) . T)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-571))) ((((-1214)) . T)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((((-560)) . T)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-571))) (|has| |#1| (-147)) ((((-560)) . 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T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-381)) (|has| |#2| (-748)) (|has| |#2| (-817)) (|has| |#2| (-872)) (|has| |#2| (-1081)) (|has| |#2| (-1133))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-381)) (|has| |#2| (-748)) (|has| |#2| (-817)) (|has| |#2| (-872)) (|has| |#2| (-1081)) (|has| |#2| (-1133))) (-12 (|has| |#3| (-240)) (|has| |#3| (-1081))) (|has| |#2| (-1184)) (((#0=(-51)) . T) (((-2 (|:| -3672 (-1209)) (|:| -1922 #0#))) . T)) @@ -1269,10 +1269,10 @@ (((|#1| (-560) (-1114)) . T)) (((|#1| (-421 (-560)) (-1114)) . T)) ((((-1209)) . T)) -((($) -2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) -((($) -2171 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) +((($) -2172 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2172 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) -2172 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))) ((((-560) |#2|) . T)) -((($ (-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) +((($ (-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) (((|#1| |#2|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-381)) @@ -1280,46 +1280,46 @@ ((((-888)) . 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T)) (((|#1|) |has| |#1| (-321 |#1|))) @@ -1329,21 +1329,21 @@ (|has| |#1| (-381)) ((((-1209) $) |has| |#1| (-528 (-1209) $)) (($ $) |has| |#1| (-321 $)) ((|#1| |#1|) |has| |#1| (-321 |#1|)) (((-1209) |#1|) |has| |#1| (-528 (-1209) |#1|))) ((((-1209)) |has| |#1| (-928 (-1209)))) -(-2171 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (|has| |#1| (-363))) +(-2172 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (|has| |#1| (-363))) (((|#1| |#4|) . T)) (((|#1| |#3|) . T)) ((($) . T)) ((((-402) |#1|) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) (((|#2|) . T) (((-888)) . T)) ((((-888)) . T)) (((|#2|) . T)) ((((-936 |#1|)) . T)) ((((-888)) . T) (((-1214)) . T)) ((((-1214)) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) -((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) +((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))) (((|#1| |#2|) . T)) ((($) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) @@ -1352,7 +1352,7 @@ (((|#1|) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) (((|#1| |#1|) . T)) (((#0=(-894 |#1|)) |has| #0# (-321 #0#))) -((((-560)) . T) (($) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) (((-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-1070 (-421 (-560))))) ((|#1|) . T)) +((((-560)) . T) (($) -2172 (|has| |#1| (-376)) (|has| |#1| (-363))) (((-421 (-560))) -2172 (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-1070 (-421 (-560))))) ((|#1|) . T)) (((|#1| |#2|) . T)) (|has| |#2| (-817)) (|has| |#2| (-817)) @@ -1375,7 +1375,7 @@ (((|#1| |#1|) . T) (($ $) . T) ((#0=(-421 (-560)) #0#) . T)) (|has| |#1| (-376)) ((((-560)) . T) (((-421 (-560))) . T) (($) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) ((((-888)) . T)) ((((-888)) . T)) @@ -1383,32 +1383,32 @@ (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) (((|#1|) . T)) ((((-888)) . T)) -((($ $) . T) ((#0=(-421 (-560)) #0#) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1| |#1|) . T)) +((($ $) . 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T)) @@ -1423,11 +1423,11 @@ (|has| |#1| (-376)) (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-871)) -((($) -2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) -2172 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2172 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) (|has| |#1| (-376)) (((|#1|) . T) (($) . T)) (|has| |#1| (-871)) -((($) . T) (((-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) +((($) . T) (((-421 (-560))) -2172 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T)) ((((-1209)) |has| |#1| (-928 (-1209)))) (|has| |#1| (-871)) ((((-520)) . T)) @@ -1453,9 +1453,9 @@ (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#3|) . T)) (((|#1|) |has| |#1| (-175))) -((($) -2171 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-560)) . 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T)) ((((-549)) |has| |#1| (-633 (-549))) (((-916 (-391))) |has| |#1| (-633 (-916 (-391)))) (((-916 (-560))) |has| |#1| (-633 (-916 (-560))))) @@ -1464,11 +1464,11 @@ (((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) ((((-520)) . T)) ((((-520)) . T)) -((((-1209)) -2171 (-12 (|has| |#4| (-928 (-1209))) (|has| |#4| (-1081))) (-12 (|has| |#4| (-930 (-1209))) (|has| |#4| (-1081))))) -((((-1209)) -2171 (-12 (|has| |#3| (-928 (-1209))) (|has| |#3| (-1081))) (-12 (|has| |#3| (-930 (-1209))) (|has| |#3| (-1081))))) +((((-1209)) -2172 (-12 (|has| |#4| (-928 (-1209))) (|has| |#4| (-1081))) (-12 (|has| |#4| (-930 (-1209))) (|has| |#4| (-1081))))) +((((-1209)) -2172 (-12 (|has| |#3| (-928 (-1209))) (|has| |#3| (-1081))) (-12 (|has| |#3| (-930 (-1209))) (|has| |#3| (-1081))))) (|has| |#1| (-571)) (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) -(-2171 (|has| |#1| (-240)) (|has| |#1| (-239))) +(-2172 (|has| |#1| (-240)) (|has| |#1| (-239))) ((((-894 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) (|has| |#1| (-381)) (|has| |#1| (-381)) @@ -1477,7 +1477,7 @@ ((((-1191) |#1|) . T)) (|has| |#1| (-1184)) ((((-988 |#1|)) . T)) -(((#0=(-421 (-560)) #0#) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((|#1| |#1|) . T)) +(((#0=(-421 (-560)) #0#) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($ $) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((|#1| |#1|) . T)) ((((-421 (-560))) |has| |#1| (-1070 (-560))) (((-560)) |has| |#1| (-1070 (-560))) (((-1209)) |has| |#1| (-1070 (-1209))) ((|#1|) . T)) ((($) . T)) ((($) . T)) @@ -1485,7 +1485,7 @@ ((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) |has| |#1| (-1070 (-560))) ((|#1|) . T)) ((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . 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T)) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-872)) (|has| |#1| (-1133))) -(((|#2| |#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-872)) (|has| |#1| (-1133))) +(((|#2| |#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) (((|#2|) . T) (((-560)) . T)) ((((-888)) . T)) ((((-888)) . T)) @@ -1559,9 +1559,9 @@ ((((-421 (-560))) . T) (($) . T)) ((((-888)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) ((($) . T) (((-421 (-560))) . T)) -(((|#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) +(((|#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))) (|has| $ (-149)) ((((-421 |#2|)) . T)) ((((-421 (-560))) |has| #0=(-421 |#2|) (-1070 (-421 (-560)))) (((-560)) |has| #0# (-1070 (-560))) ((#0#) . T)) @@ -1570,11 +1570,11 @@ (|has| |#2| (-149)) (|has| |#1| (-149)) (|has| |#1| (-147)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) (((|#1|) . T)) (|has| |#2| (-240)) @@ -1611,7 +1611,7 @@ ((((-888)) . T)) ((((-888)) . T)) ((((-1028 |#1|)) . T) ((|#1|) . T)) -((((-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-842 (-1209))) . T)) +((((-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-842 (-1209))) . T)) ((((-888)) . T)) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) ((((-421 (-560))) . T) (((-421 |#1|)) . T) ((|#1|) . T) (($) . T)) @@ -1623,7 +1623,7 @@ (((|#2|) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) ((((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) ((((-560) |#2|) . T)) (((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T)) ((($) . T) (((-560)) . T) (((-421 (-560))) . T)) @@ -1638,28 +1638,28 @@ ((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376))) (((|#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))) ((#0=(-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-321 (-2 (|:| -3672 |#1|) (|:| -1922 |#2|))))) (((|#2| |#2|) . T)) -(-2171 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (-12 (|has| |#1| (-376)) (|has| |#2| (-239)))) +(-2172 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (-12 (|has| |#1| (-376)) (|has| |#2| (-239)))) (|has| |#2| (-376)) (((|#2|) . 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T)) -((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))) -((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((($ (-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))) (($ (-1114)) . T)) +((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2172 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))) +((($) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($ (-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))) (($ (-1114)) . T)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (((|#2|) |has| |#2| (-175))) (((|#2|) . T)) -((((-560)) -2171 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) ((|#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-748)) (|has| |#2| (-1081))) (($) |has| |#2| (-1081))) +((((-560)) -2172 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) ((|#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-748)) (|has| |#2| (-1081))) (($) |has| |#2| (-1081))) (((|#1|) . T)) ((((-560) |#3|) . T)) ((((-560) (-146)) . T)) @@ -1675,7 +1675,7 @@ ((((-560)) . T) (($) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#1|) . T)) -((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) +((($ (-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) (((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) ((((-888)) . T)) ((((-560)) |has| |#1| (-660 (-560))) ((|#1|) . T)) @@ -1685,26 +1685,26 @@ (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#1| |#2|) . T)) -(-2171 (|has| |#2| (-240)) (|has| |#2| (-239))) +(-2172 (|has| |#2| (-240)) (|has| |#2| (-239))) ((((-560) (-146)) . T) (((-1266 (-560)) $) . T)) (((#0=(-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) #0#) |has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-321 (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133)))) -((($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (|has| |#1| (-872)) (((|#2| (-793) (-1114)) . T)) (((|#1| |#2|) . T)) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209))))) (|has| |#1| (-814)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-571))) -((((-1209)) -2171 (-12 (|has| (-1289 |#1| |#2| |#3|) (-928 (-1209))) (|has| |#1| (-376))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-930 (-1209))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-571))) +((((-1209)) -2172 (-12 (|has| (-1289 |#1| |#2| |#3|) (-928 (-1209))) (|has| |#1| (-376))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-930 (-1209))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))))) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209))))) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-793) |#1|))) (|has| |#1| (-928 (-1209))))) (((|#1|) |has| |#1| (-175))) (((|#4|) . T)) (((|#4|) . T)) (((|#1| |#2|) . T)) -(-2171 (|has| |#1| (-149)) (-12 (|has| |#1| (-376)) (|has| |#2| (-149)))) +(-2172 (|has| |#1| (-149)) (-12 (|has| |#1| (-376)) (|has| |#2| (-149)))) (((|#4|) . T)) -(-2171 (|has| |#1| (-147)) (-12 (|has| |#1| (-376)) (|has| |#2| (-147)))) +(-2172 (|has| |#1| (-147)) (-12 (|has| |#1| (-376)) (|has| |#2| (-147)))) ((((-1191) |#1|) . T)) (|has| |#1| (-147)) (|has| |#1| (-149)) @@ -1718,24 +1718,24 @@ (((|#3|) . T)) ((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376))) ((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T)) -((((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)) (((-560)) . T) (($) . T) ((|#1|) . T)) -(((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T)) +((((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)) (((-560)) . T) (($) . T) ((|#1|) . 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T)) -(((|#4|) -2171 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)))) -(((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)))) +(((|#4|) -2172 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)))) +(((|#3|) -2172 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)))) (|has| |#2| (-376)) (((|#1|) |has| |#1| (-175))) -(((|#4|) -2171 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)) (|has| |#4| (-1081)))) -(((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)) (|has| |#3| (-1081)))) +(((|#4|) -2172 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-748)) (|has| |#4| (-1081)))) +(((|#3|) -2172 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)) (|has| |#3| (-1081)))) (((|#2|) |has| |#2| (-1081))) (((|#2|) |has| |#2| (-1081))) ((((-1191) |#1|) . T)) @@ -1747,7 +1747,7 @@ ((((-402) (-1191)) . T)) ((($ (-1209)) . T)) ((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((((-888)) -2171 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-632 (-888))) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-381)) (|has| |#2| (-748)) (|has| |#2| (-817)) (|has| |#2| (-872)) (|has| |#2| (-1081)) (|has| |#2| (-1133))) (((-1299 |#2|)) . T)) +((((-888)) -2172 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-632 (-888))) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-381)) (|has| |#2| (-748)) (|has| |#2| (-817)) (|has| |#2| (-872)) (|has| |#2| (-1081)) (|has| |#2| (-1133))) (((-1299 |#2|)) . T)) (((#0=(-51)) . T) (((-2 (|:| -3672 (-1191)) (|:| -1922 #0#))) . T)) (((|#1|) . T)) ((((-888)) . T)) @@ -1757,7 +1757,7 @@ ((((-560)) . T)) (|has| |#2| (-149)) (|has| |#1| (-487)) -(-2171 (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) +(-2172 (|has| |#1| (-487)) (|has| |#1| (-748)) (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) (|has| |#1| (-376)) ((((-888)) . T)) (|has| |#1| (-38 (-421 (-560)))) @@ -1768,8 +1768,8 @@ (|has| |#1| (-871)) ((((-888)) . T)) (((|#2|) . T)) -((((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2171 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175))) -(((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2171 (|has| |#1| (-376)) (|has| |#1| (-571)))) +((((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2172 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175))) +(((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2172 (|has| |#1| (-376)) (|has| |#1| (-571)))) ((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (((|#2|) . T) (((-560)) . T) (((-843 |#1|)) . T)) (((|#1| |#2|) . T)) @@ -1778,7 +1778,7 @@ ((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) ((((-888)) . T)) ((((-888)) . T)) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) (((|#2| (-496 (-2086 |#1|) (-793)) (-889 |#1|)) . T)) ((((-421 (-560))) . #0=(|has| |#2| (-376))) (($) . #0#)) (((|#1| (-545 (-1209)) (-1209)) . T)) @@ -1811,8 +1811,8 @@ ((((-421 (-560)) |#1|) . T) (($ $) . T)) (((|#1| (-560)) . T)) ((((-936 |#1|)) . T)) -(((|#1|) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081))) (($) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081)))) -((((-1209)) -2171 (-12 (|has| |#2| (-928 (-1209))) (|has| |#2| (-1081))) (-12 (|has| |#2| (-930 (-1209))) (|has| |#2| (-1081))))) +(((|#1|) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081))) (($) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081)))) +((((-1209)) -2172 (-12 (|has| |#2| (-928 (-1209))) (|has| |#2| (-1081))) (-12 (|has| |#2| (-930 (-1209))) (|has| |#2| (-1081))))) (((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560))))) (|has| |#1| (-872)) (|has| |#1| (-872)) @@ -1833,15 +1833,15 @@ (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133)))) (((|#1|) |has| |#1| (-175))) (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133)))) -(((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376)))) -((($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -(-2171 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-940))) -((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +(((|#3|) -2172 (|has| |#3| (-175)) (|has| |#3| (-376)))) +((($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +(-2172 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-940))) +((($) -2172 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) ((($ |#2|) . T)) -((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T)) +((($ (-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T)) ((($ $) . T) ((#0=(-421 (-560)) #0#) . T)) ((((-560) |#2|) . T)) -(((|#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)))) +(((|#2|) -2172 (|has| |#2| (-175)) (|has| |#2| (-376)))) (|has| |#1| (-363)) (((|#3| |#3|) -12 (|has| |#3| (-321 |#3|)) (|has| |#3| (-1133)))) (((|#2|) . T) (((-560)) . T)) @@ -1850,7 +1850,7 @@ (|has| |#1| (-844)) (|has| |#1| (-844)) (((|#1|) . T)) -(-2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) (|has| |#1| (-871)) (|has| |#1| (-871)) (|has| |#1| (-871)) @@ -1859,7 +1859,7 @@ ((((-560)) . T) (($) . T) (((-421 (-560))) . T)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) @@ -1889,14 +1889,14 @@ (((|#1| (-545 |#2|) |#2|) . T)) (((|#3|) . T)) (((|#1| (-793) (-1114)) . T)) -((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) -2171 (|has| |#1| (-871)) (|has| |#1| (-1070 (-560)))) ((|#1|) . T)) +((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) -2172 (|has| |#1| (-871)) (|has| |#1| (-1070 (-560)))) ((|#1|) . 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T)) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-940))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-940))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((#0=(-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) #0#) |has| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (-321 (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))))) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-940))) (((|#1|) . T)) (((|#1|) . T) (($) . T)) (((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133)))) @@ -1948,21 +1948,21 @@ (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376)))) +(((|#3|) -2172 (|has| |#3| (-175)) (|has| |#3| (-376)))) (|has| |#1| (-872)) (|has| |#1| (-571)) ((((-595 |#1|)) . T)) ((($) . T)) (((|#2|) . 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T)) ((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T) (((-421 (-560))) . T) (($) . T)) @@ -1973,7 +1973,7 @@ ((((-888)) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) ((((-888)) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) ((((-1214)) . T)) ((((-421 (-560))) . T) (($) . T) (((-421 |#1|)) . T) ((|#1|) . T) (((-560)) . T)) (((|#3|) . T) (((-560)) . T) (((-630 $)) . T)) @@ -1981,12 +1981,12 @@ ((((-888)) . T)) ((((-888)) . T)) (((|#2|) . 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T)) -((($) -2171 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (-12 (|has| |#1| (-376)) (|has| |#2| (-239))))) +((($) -2172 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (-12 (|has| |#1| (-376)) (|has| |#2| (-239))))) ((($) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|)))) ((((-1003)) . T)) ((((-1003)) . T) (((-888)) . T)) @@ -2056,7 +2056,7 @@ ((($) . T)) (((|#1|) . T)) ((((-114)) . T)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((((-560)) . T)) (((|#1| (-560)) . T)) ((($) . T)) @@ -2100,20 +2100,20 @@ ((((-560)) . T)) ((((-560)) . T)) ((((-888)) . T)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-363))) ((((-888)) . T)) (|has| |#1| (-149)) (((|#3|) . T)) ((((-888)) . 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T)) -(-2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) +(-2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) (((|#1| (-421 (-560)) (-1114)) . T)) (((|#1| (-793) (-1114)) . T)) @@ -2172,12 +2172,12 @@ ((((-936 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) (|has| |#1| (-1133)) ((((-421 (-560))) |has| |#2| (-376)) (($) . T) (((-560)) . T)) -((((-560)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081)))) +((((-560)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081)))) (((|#1|) . 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T)) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (((|#1|) . T)) (((|#2|) . T)) (((|#3|) |has| |#3| (-1081))) @@ -2368,8 +2368,8 @@ (|has| |#1| (-381)) (|has| |#1| (-381)) (|has| |#1| (-376)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-487)) (|has| |#1| (-571)) (|has| |#1| (-1081)) (|has| |#1| (-1144))) -((($) -2171 (|has| |#1| (-240)) (|has| |#1| (-239)) (|has| |#1| (-363)))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-487)) (|has| |#1| (-571)) (|has| |#1| (-1081)) (|has| |#1| (-1144))) +((($) -2172 (|has| |#1| (-240)) (|has| |#1| (-239)) (|has| |#1| (-363)))) ((((-118 |#1|)) . T)) ((((-118 |#1|)) . T)) (|has| |#1| (-363)) @@ -2381,7 +2381,7 @@ (|has| |#1| (-38 (-421 (-560)))) (((|#2|) . T) (((-888)) . T)) (((|#2|) . T) (((-888)) . T)) -((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) +((($ (-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) @@ -2402,7 +2402,7 @@ (((|#3|) . T)) ((((-118 |#1|)) . T)) (|has| |#1| (-381)) -(-2171 (-12 (|has| (-1289 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) +(-2172 (-12 (|has| (-1289 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1289 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-872)) (((|#2|) . T) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) |has| |#1| (-1070 (-560))) ((|#1|) . T)) @@ -2423,15 +2423,15 @@ ((((-888)) . T)) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) ((($ $) . T) (((-630 $) $) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) ((($) . T) (((-1286 |#1| |#2| |#3| |#4|)) . T) (((-421 (-560))) . T)) -((($) -2171 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-571)) (|has| |#1| (-1081))) ((|#1|) -2171 (|has| |#1| (-175)) (|has| |#1| (-1081))) (((-421 (-560))) |has| |#1| (-571)) (((-560)) -12 (|has| |#1| (-660 (-560))) (|has| |#1| (-1081)))) -((($) . T) (((-560)) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . 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T)) ((((-549)) |has| (-802 |#1| (-889 |#2|)) (-633 (-549)))) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) @@ -2440,17 +2440,17 @@ (((|#3|) -12 (|has| |#3| (-321 |#3|)) (|has| |#3| (-1133)))) (((|#1|) |has| |#1| (-175))) ((((-888)) . T)) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-940))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-940))) (((|#1|) . T)) ((($) . T)) ((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((($) -2172 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) ((((-549)) |has| |#1| (-633 (-549)))) (((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133)))) ((((-793)) . 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T)) @@ -2640,13 +2640,13 @@ ((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((|#1|) . T) (((-560)) . T)) (|has| |#2| (-147)) (|has| |#2| (-149)) -(-2171 (|has| |#2| (-844)) (|has| |#2| (-872))) +(-2172 (|has| |#2| (-844)) (|has| |#2| (-872))) ((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T)) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) ((((-560)) . T) ((|#1|) . T)) (((|#2|) . T) (($) . T) (((-560)) . T)) (((|#2|) . T)) -((((-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) +((((-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) (((|#1| |#1|) . T)) (((|#3|) |has| |#3| (-376))) ((((-421 |#2|)) . T)) @@ -2658,7 +2658,7 @@ ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) ((((-560)) . T) (($) . T) (((-421 (-560))) . 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T)) -(-2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (|has| |#1| (-376)) (|has| |#1| (-376)) (((|#1| |#2|) . T)) ((($) . T) ((#0=(-1280 |#2| |#3| |#4|)) . T) (((-421 (-560))) |has| #0# (-38 (-421 (-560))))) ((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376))) -(-2171 (-12 (|has| |#1| (-319)) (|has| |#1| (-940))) (|has| |#1| (-376)) (|has| |#1| (-363))) -(-2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) +(-2172 (-12 (|has| |#1| (-319)) (|has| |#1| (-940))) (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) ((((-560)) |has| |#1| (-660 (-560))) ((|#1|) . T)) (((|#1| |#2|) . T)) ((((-888)) . T)) @@ -2830,7 +2830,7 @@ ((($) . T)) (((|#4|) . T)) ((($) . T)) -((($ (-1209)) -2171 (-12 (|has| |#1| (-376)) (|has| |#1| (-928 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#1| (-930 (-1209)))))) +((($ (-1209)) -2172 (-12 (|has| |#1| (-376)) (|has| |#1| (-928 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#1| (-930 (-1209)))))) ((((-888)) . T)) (((|#1| (-545 (-1209))) . T)) ((($ $) . T)) @@ -2840,12 +2840,12 @@ (((|#2|) . T)) (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133)))) (((|#2|) . T)) -(((|#2|) -2171 (|has| |#2| (-6 (-4512 "*"))) (|has| |#2| (-175)))) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(((|#2|) -2172 (|has| |#2| (-6 (-4512 "*"))) (|has| |#2| (-175)))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (|has| |#2| (-940)) (|has| |#1| (-940)) -((($) -2171 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))) +((($) -2172 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))) (((|#2|) |has| |#2| (-175))) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) ((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376))) @@ -2862,7 +2862,7 @@ ((($) . T) (((-560)) . T)) (((|#1| (-421 (-560))) . T)) (((|#1|) . T)) -(-2171 (|has| |#1| (-302)) (|has| |#1| (-376))) +(-2172 (|has| |#1| (-302)) (|has| |#1| (-376))) ((((-146)) . T)) ((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T) (((-421 (-560))) . T) (($) . T)) (|has| |#1| (-871)) @@ -2896,7 +2896,7 @@ ((((-888)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) ((((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T)) -((($) -2171 (-12 (|has| (-1207 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1207 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|))))) +((($) -2172 (-12 (|has| (-1207 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (-12 (|has| (-1207 |#1| |#2| |#3|) (-239)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|))))) ((((-888)) . T)) (((|#2|) |has| |#2| (-376))) ((((-888)) . T)) @@ -2911,19 +2911,19 @@ (|has| |#3| (-1081)) (|has| |#1| (-1133)) ((((-1209) (-51)) . T)) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) (|has| |#1| (-940)) ((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) (|has| |#1| (-940)) (((|#1|) . T) (((-560)) . T) (((-421 (-560))) . T) (($) . T)) (((|#2|) . T)) -((($ (-1209)) -2171 (-12 (|has| |#2| (-928 (-1209))) (|has| |#2| (-1081))) (-12 (|has| |#2| (-930 (-1209))) (|has| |#2| (-1081))))) +((($ (-1209)) -2172 (-12 (|has| |#2| (-928 (-1209))) (|has| |#2| (-1081))) (-12 (|has| |#2| (-930 (-1209))) (|has| |#2| (-1081))))) (((#0=(-421 (-560)) #0#) . T) (($ $) . T)) ((((-560)) . T)) (((|#1|) . T)) @@ -2935,12 +2935,12 @@ (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (|has| |#1| (-844)) (((#0=(-936 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T)) ((((-421 |#2|)) . T)) (|has| |#1| (-871)) -((((-1236 |#1|)) . T) (((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-1236 |#1|)) . T) (((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) (((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) . T) ((#1=(-560) #1#) . T) (($ $) . T)) ((((-936 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) (((|#2|) |has| |#2| (-1081)) (((-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1081)))) @@ -2959,9 +2959,9 @@ (((|#2|) |has| |#2| (-175))) (((|#1|) . T)) (((|#2|) . T)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) ((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T)) ((((-560) |#3|) . T)) (((|#1|) . T)) @@ -2972,23 +2972,23 @@ (((|#1|) . T)) (((#0=(-1286 |#1| |#2| |#3| |#4|) $) |has| #0# (-298 #0# #0#))) (|has| |#1| (-376)) -(-2171 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081)))) -(((|#1|) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081))) (($) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) (((-560)) -2171 (|has| |#1| (-21)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081)))) +(-2172 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081)))) +(((|#1|) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081))) (($) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081))) (((-560)) -2172 (|has| |#1| (-21)) (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-928 (-1209))) (|has| |#1| (-1081)))) (((#0=(-1114) |#1|) . T) ((#0# $) . T) (($ $) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) (((#0=(-421 (-560)) #0#) . T) ((#1=(-721) #1#) . T) (($ $) . T)) ((((-326 |#1|)) . T) (($) . T)) (((|#1|) . T) (((-421 (-560))) |has| |#1| (-376))) ((((-888)) . T)) (|has| |#1| (-1133)) (((|#1|) . T)) -(((|#1|) -2171 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) -(((|#1|) -2171 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) +(((|#1|) -2172 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) +(((|#1|) -2172 (|has| |#2| (-380 |#1|)) (|has| |#2| (-432 |#1|)))) (((|#2|) . T)) ((((-421 (-560))) . T) (((-721)) . T) (($) . T)) ((((-593)) . T)) (((|#3| |#3|) . T)) -((($ (-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) +((($ (-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) (|has| |#1| (-872)) (|has| |#2| (-240)) ((((-889 |#1|)) . T)) @@ -3009,10 +3009,10 @@ (|has| |#1| (-1133)) (((|#2|) . T)) (((|#1|) . T)) -((($) -2171 (|has| |#1| (-240)) (|has| |#1| (-239)))) +((($) -2172 (|has| |#1| (-240)) (|has| |#1| (-239)))) ((((-560)) . T)) (((|#2|) . T) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((|#1|) . T) (($) . T) (((-560)) . T)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) (((|#1| |#2|) . T)) ((($) . T)) @@ -3065,16 +3065,16 @@ (|has| |#1| (-376)) ((((-936 |#1|)) . T)) ((($) . T) (((-560)) . T) ((|#1|) . T) (((-421 (-560))) . T)) -((($) -2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) -((($) |has| |#1| (-871)) (((-560)) -2171 (|has| |#1| (-21)) (|has| |#1| (-871)))) +((($) -2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) |has| |#1| (-871)) (((-560)) -2172 (|has| |#1| (-21)) (|has| |#1| (-871)))) ((($ $) . T) ((#0=(-421 (-560)) #0#) . T)) -(-2171 (|has| |#1| (-381)) (|has| |#1| (-872))) +(-2172 (|has| |#1| (-381)) (|has| |#1| (-872))) (((|#1|) . T)) ((((-793)) . T)) ((((-888)) . T)) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209))))) ((((-421 |#2|) |#3|) . T)) -(-2171 (-12 (|has| |#3| (-240)) (|has| |#3| (-1081))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1081)))) +(-2172 (-12 (|has| |#3| (-240)) (|has| |#3| (-1081))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1081)))) ((($) . T) (((-421 (-560))) . T)) ((($) . T) (((-560)) . T) (((-421 (-560))) . T) (((-630 $)) . T)) ((((-560)) . T) (($) . T)) @@ -3083,14 +3083,14 @@ (((|#2| (-246 (-2086 |#1|) (-793))) . T)) (((|#1| (-545 |#3|)) . T)) ((((-421 (-560))) . T)) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((((-1191)) . T) (((-888)) . T)) (((#0=(-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) #0#) |has| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (-321 (-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))))) ((((-1191)) . T)) (|has| |#1| (-940)) (|has| |#2| (-376)) (((|#1|) . T) (($) . T) (((-560)) . T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) ((((-171 (-391))) . T) (((-229)) . T) (((-391)) . T)) ((((-888)) . T)) (((|#1|) . T)) @@ -3107,12 +3107,12 @@ (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -(-2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) (|has| |#1| (-38 (-421 (-560)))) (-12 (|has| |#1| (-559)) (|has| |#1| (-845))) ((((-888)) . T)) (|has| |#1| (-376)) -((((-1209)) -2171 (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-928 (-1209)))))) +((((-1209)) -2172 (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-928 (-1209)))))) (|has| |#1| (-376)) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209))))) ((((-421 (-560))) . T) (($) . T)) @@ -3124,11 +3124,11 @@ ((((-560) |#1|) . T)) ((((-1209)) |has| |#1| (-928 (-1209)))) (((|#1|) . T)) -(-2171 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363))) +(-2172 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363))) (((|#2|) |has| |#1| (-376))) (((|#2|) |has| |#1| (-376))) -(-2171 (|has| |#4| (-817)) (|has| |#4| (-872))) -(-2171 (|has| |#3| (-817)) (|has| |#3| (-872))) +(-2172 (|has| |#4| (-817)) (|has| |#4| (-872))) +(-2172 (|has| |#3| (-817)) (|has| |#3| (-872))) ((((-560)) . T) (($) . T)) ((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T)) (((|#1|) . T)) @@ -3165,7 +3165,7 @@ (|has| |#1| (-872)) ((((-888)) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) (((|#1|) . T)) ((($) . T) (((-560)) . T) ((|#2|) . T)) @@ -3174,12 +3174,12 @@ (((|#3|) . T)) ((((-1191)) . T) (((-520)) . T) (((-229)) . T) (((-560)) . T)) (((|#1|) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) (|has| |#1| (-571)) (((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133)))) ((((-421 |#2|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) (((|#2|) . T)) (((|#2|) . T)) (|has| |#2| (-1081)) @@ -3189,12 +3189,12 @@ (|has| |#1| (-38 (-421 (-560)))) (((|#1| |#2|) . T)) (|has| |#1| (-38 (-421 (-560)))) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) ((($) . T)) (|has| |#1| (-149)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-381))) (|has| |#1| (-149)) ((($) . T)) ((((-595 |#1|)) . T)) @@ -3210,7 +3210,7 @@ ((((-421 (-560))) |has| |#2| (-1070 (-560))) (((-560)) |has| |#2| (-1070 (-560))) (((-1209)) |has| |#2| (-1070 (-1209))) ((|#2|) . T)) (((#0=(-421 |#2|) #0#) . T) ((#1=(-421 (-560)) #1#) . T) (($ $) . T)) (((|#1|) . T)) -(-2171 (|has| |#1| (-147)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-363))) (|has| |#1| (-149)) ((((-888)) . T)) ((($) . T)) @@ -3230,15 +3230,15 @@ ((((-421 |#2|)) . T)) ((((-888)) . T)) (((|#1|) . T)) -((((-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +((((-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) (|has| |#1| (-814)) (|has| |#1| (-814)) ((((-888)) . T)) ((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) ((((-888)) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) ((((-115)) . T) ((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) @@ -3248,7 +3248,7 @@ (((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)) (((-421 (-560))) |has| |#1| (-571))) ((((-888)) . T)) ((((-888)) . T)) -(-2171 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081)))) +(-2172 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081)))) (((#0=(-936 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T)) (((|#2|) . T)) (((|#1|) . T)) @@ -3260,10 +3260,10 @@ ((((-888)) . T)) (((|#2|) . T)) ((((-560)) . T)) -((((-1209)) -2171 (|has| (-421 |#2|) (-928 (-1209))) (|has| (-421 |#2|) (-930 (-1209))))) +((((-1209)) -2172 (|has| (-421 |#2|) (-928 (-1209))) (|has| (-421 |#2|) (-930 (-1209))))) ((((-888)) . T)) ((((-560)) . T)) -(-2171 (|has| |#2| (-817)) (|has| |#2| (-872))) +(-2172 (|has| |#2| (-817)) (|has| |#2| (-872))) ((((-171 (-391))) . T) (((-229)) . T) (((-391)) . T)) ((((-888)) . T)) ((((-888)) . T)) @@ -3275,11 +3275,11 @@ (((|#1|) . T) (($) . T) (((-421 (-560))) . 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T)) @@ -3289,22 +3289,22 @@ (((#0=(-118 |#1|) $) |has| #0# (-298 #0# #0#))) (((|#1|) |has| |#1| (-175))) ((((-326 |#1|)) . T) (((-560)) . T)) -(-2171 (|has| |#2| (-240)) (|has| |#2| (-239))) +(-2172 (|has| |#2| (-240)) (|has| |#2| (-239))) (((|#1|) . T)) (((|#1| |#1|) . T)) ((((-888)) . T)) (((|#1|) . T)) ((((-115)) . T) ((|#1|) . T)) ((((-888)) . T)) -((((-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) +((((-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) (((|#1|) |has| |#1| (-321 |#1|))) ((((-560) |#1|) . T) (((-1266 (-560)) $) . T)) (((|#1| |#2|) . T)) ((((-1209) |#1|) . T)) -(((|#1|) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)))) +(((|#1|) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)))) (((|#1|) . T)) ((($ (-1209)) . T)) -(((|#1|) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081)))) +(((|#1|) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081)))) ((((-560)) . T) (((-421 (-560))) . T)) (((|#1|) . T)) (|has| |#1| (-571)) @@ -3313,15 +3313,15 @@ (((|#1|) . T)) (((|#1|) . T)) ((((-421 |#2|)) . T) (((-421 (-560))) . T) (($) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) (|has| |#1| (-376)) (|has| |#1| (-571)) ((($) . T)) (|has| |#1| (-1133)) ((((-802 |#1| (-889 |#2|))) |has| (-802 |#1| (-889 |#2|)) (-321 (-802 |#1| (-889 |#2|))))) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) (((|#1|) . T)) (((|#2| |#3|) . T)) (((|#1|) . T)) @@ -3330,7 +3330,7 @@ (((|#1| (-793)) . T)) (|has| |#1| (-240)) (((|#1| (-545 (-1120 (-1209)))) . T)) -((($) -2171 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))) +((($) -2172 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))) ((((-595 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T)) ((((-560)) . T) (((-421 (-560))) . T) (($) . T)) ((((-2 (|:| -3672 (-1191)) (|:| -1922 (-51)))) . T)) @@ -3340,7 +3340,7 @@ (|has| |#2| (-376)) ((((-888)) . T)) ((((-888)) . T)) -(-2171 (|has| |#3| (-817)) (|has| |#3| (-872))) +(-2172 (|has| |#3| (-817)) (|has| |#3| (-872))) ((((-888)) . T)) ((((-1152)) . T) (((-888)) . T)) ((((-549)) . T) (((-888)) . T)) @@ -3351,14 +3351,14 @@ ((((-560)) . T)) (((|#3|) . T)) ((((-888)) . T)) -(-2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363))) -((((-560)) . T) (((-421 (-560))) -2171 (|has| |#2| (-38 (-421 (-560)))) (|has| |#2| (-1070 (-421 (-560))))) ((|#2|) . 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T)) +((((-1157 |#1| |#2|)) . T) ((|#2|) . T) (($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-560)) . T)) +((((-1203 |#1|)) . T) (((-560)) . T) (($) -2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (((-1114)) . T) ((|#1|) . T) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560)))))) +(-2172 (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-175)) (|has| |#1| (-571)) (|has| |#1| (-1081))) (((#0=(-595 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T)) ((($ $) . T) ((#0=(-421 (-560)) #0#) . T)) -((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-1120 (-1209))) . T) (($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T)) +((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-1120 (-1209))) . T) (($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T)) (((|#1|) |has| |#1| (-175))) (((|#1| (-1299 |#1|) (-1299 |#1|)) . T)) ((((-595 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) @@ -3373,7 +3373,7 @@ ((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((|#1|) . T) (((-560)) . T)) (((|#1|) . T)) ((((-888)) . T)) -(((#0=(-421 (-560)) #0#) |has| |#2| (-38 (-421 (-560)))) ((|#2| |#2|) . T) (($ $) -2171 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) +(((#0=(-421 (-560)) #0#) |has| |#2| (-38 (-421 (-560)))) ((|#2| |#2|) . T) (($ $) -2172 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) (((|#2| |#2|) . T) ((|#6| |#6|) . T)) ((((-305 |#3|)) . T)) (((|#1|) . T)) @@ -3382,18 +3382,18 @@ (((|#1|) . 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T)) -(-2171 (|has| |#2| (-817)) (|has| |#2| (-872))) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#2| (-817)) (|has| |#2| (-872))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) (((|#1|) . T)) (((|#1|) . T) (($) . T) (((-421 (-560))) . T)) ((((-1209)) . T) ((|#1|) . T)) @@ -3417,15 +3417,15 @@ (((#0=(-421 (-560)) #0#) . T)) ((((-421 (-560))) . T)) (((|#1|) |has| |#1| (-175))) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))) (((|#1|) . T)) (((|#1|) . T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) (((|#1|) . T)) ((((-421 (-560))) . T) (((-560)) . 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T) (((-560)) |has| |#2| (-1070 (-560))) (((-421 (-560))) |has| |#2| (-1070 (-421 (-560))))) ((((-1114)) . T) ((|#2|) . T) (((-560)) |has| |#2| (-1070 (-560))) (((-421 (-560))) |has| |#2| (-1070 (-421 (-560))))) (((|#1|) . T)) @@ -3475,11 +3475,11 @@ ((($) |has| |#1| (-381))) (|has| |#2| (-844)) (|has| |#2| (-844)) -((((-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (($) . T) ((|#1|) . T)) +((((-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (($) . T) ((|#1|) . T)) ((($ (-1209)) |has| |#1| (-928 (-1209)))) (((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560))))) -((($) -2171 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363)))) -(((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) . T)) +((($) -2172 (-12 (|has| |#1| (-240)) (|has| |#1| (-376))) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (|has| |#1| (-363)))) +(((|#1|) . T) (((-421 (-560))) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) . T)) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) ((((-560)) |has| |#1| (-912 (-560))) (((-391)) |has| |#1| (-912 (-391)))) (((|#1|) . T)) @@ -3494,7 +3494,7 @@ (-12 (|has| |#1| (-376)) (|has| |#2| (-940))) (|has| |#1| (-376)) (((|#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133)))) -(((|#2|) -2171 (|has| |#2| (-6 (-4512 "*"))) (|has| |#2| (-175)))) +(((|#2|) -2172 (|has| |#2| (-6 (-4512 "*"))) (|has| |#2| (-175)))) (((|#2|) . T)) (|has| |#1| (-376)) (((|#2|) . T)) @@ -3508,12 +3508,12 @@ (((|#2| (-793)) . T)) ((((-1209)) . T)) ((((-894 |#1|)) . T)) -(-2171 (|has| |#3| (-21)) (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081))) -(-2171 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-133)) (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-817)) (|has| |#3| (-1081))) +(-2172 (|has| |#3| (-21)) (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081))) +(-2172 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-133)) (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-817)) (|has| |#3| (-1081))) ((((-888)) . T)) (((|#1|) . T)) -(-2171 (|has| |#2| (-817)) (|has| |#2| (-872))) -(-2171 (-12 (|has| |#1| (-817)) (|has| |#2| (-817))) (-12 (|has| |#1| (-872)) (|has| |#2| (-872)))) +(-2172 (|has| |#2| (-817)) (|has| |#2| (-872))) +(-2172 (-12 (|has| |#1| (-817)) (|has| |#2| (-817))) (-12 (|has| |#1| (-872)) (|has| |#2| (-872)))) ((((-894 |#1|)) . T)) (((|#1|) . T)) (|has| |#1| (-381)) @@ -3531,7 +3531,7 @@ (((|#1|) . T)) ((((-888)) . T)) ((($) . T) ((|#2|) . T) (((-421 (-560))) . T) (((-560)) |has| |#2| (-660 (-560)))) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) @@ -3551,7 +3551,7 @@ ((((-1203 |#1|)) . T) (((-888)) . T)) ((((-888)) . T)) ((((-421 (-560))) |has| |#2| (-1070 (-421 (-560)))) (((-560)) |has| |#2| (-1070 (-560))) ((|#2|) . T) (((-889 |#1|)) . T)) -((((-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-1114)) . T)) +((((-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-1114)) . T)) ((((-118 |#1|)) . T) (($) . T) (((-421 (-560))) . T)) ((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) |has| |#1| (-1070 (-560))) ((|#1|) . T) (((-1209)) . T)) ((((-888)) . T)) @@ -3571,10 +3571,10 @@ ((((-663 |#1|)) . 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T)) -((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) +((($ (-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209))))) (((|#1|) . T)) ((((-1214)) . T)) ((((-1214)) . T)) @@ -3589,16 +3589,16 @@ ((((-421 |#2|) |#3|) . T)) (((|#1|) . T)) ((((-888)) . T)) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) (((|#2| (-496 (-2086 |#1|) (-793))) . T)) ((((-560) |#1|) . T)) ((((-1191)) . T) (((-888)) . T)) (((|#2| |#2|) . T)) (((|#1| (-545 (-1209))) . T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) ((((-560)) . T)) (((|#2|) . T)) -((($) -2171 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))) +((($) -2172 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))) (((|#2|) . T)) ((((-1209)) |has| |#1| (-928 (-1209))) (((-1114)) . T)) (((|#1|) . T) (((-560)) |has| |#1| (-660 (-560)))) @@ -3607,9 +3607,9 @@ ((($) . T) (((-421 (-560))) . T)) ((($) . T)) ((($) . T)) -(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-872)) (|has| |#1| (-1133))) (((|#1|) . T)) -((($) -2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) -2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) ((((-888)) . T)) ((((-146)) . T)) (((|#1|) . T) (((-421 (-560))) . T)) @@ -3618,7 +3618,7 @@ ((((-888)) . 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T)) ((((-888)) . T) (((-1214)) . T)) -((((-663 |#1|)) . T) (((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) +((((-663 |#1|)) . T) (((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) ((((-1214)) . T)) ((((-1214)) . T)) ((((-1214)) . T)) @@ -3751,18 +3751,18 @@ ((((-888)) . T) (((-1214)) . T)) ((((-1214)) . T)) ((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) |has| (-2 (|:| -3672 (-1209)) (|:| -1922 (-51))) (-321 (-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))))) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) ((((-560) |#1|) . T)) ((((-560) |#1|) . T)) ((((-560) |#1|) . T)) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((((-560) |#1|) . T)) (((|#1|) . 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T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-1209)) . T)) ((($) . T)) @@ -3808,12 +3808,12 @@ (((#0=(-1286 |#1| |#2| |#3| |#4|)) |has| #0# (-321 #0#))) ((($) . T)) (((|#1|) . T)) -((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2| |#2|) |has| |#1| (-376)) ((|#1| |#1|) . T)) -(((|#1| |#1|) . T) (($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376)))) +((($ $) -2172 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2172 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2| |#2|) |has| |#1| (-376)) ((|#1| |#1|) . T)) +(((|#1| |#1|) . 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T)) (((|#2| |#2|) . T) ((#0=(-421 (-560)) #0#) . T) (($ $) . T)) (((|#2|) . T) (((-421 (-560))) . T) (($) . T)) @@ -3884,7 +3884,7 @@ ((((-888)) . T)) ((((-888)) . T)) ((((-888)) . T)) -(-2171 (|has| |#1| (-240)) (|has| |#1| (-239))) +(-2172 (|has| |#1| (-240)) (|has| |#1| (-239))) (((|#1|) . T) (((-888)) . T) (((-1214)) . T)) ((((-1214)) . T)) ((((-888)) . T)) @@ -3893,21 +3893,21 @@ ((((-657 |#2|)) . T)) (((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133)))) (((|#1| (-545 (-889 |#2|)) (-889 |#2|) (-802 |#1| (-889 |#2|))) . T)) -((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) +((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))) (((|#2|) . T) ((|#6|) . T)) ((($) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560)))) ((($) . T) (((-560)) . T)) -((($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) ((((-1135)) . T)) ((((-888)) . T)) ((((-1214)) . T) (((-888)) . T)) ((((-1214)) . T) (((-888)) . T)) ((((-1214)) . T)) ((((-1214)) . T)) -((($) -2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) -2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) ((($) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (((-560)) |has| |#1| (-660 (-560)))) ((($) . T) (((-560)) . T)) -((($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) +((($) -2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (|has| |#2| (-940)) (((|#1| |#2| (-246 |#1| |#2|) (-246 |#1| |#2|)) . T)) ((((-888)) . T)) @@ -3923,9 +3923,9 @@ (((|#1| |#1|) |has| |#1| (-175))) ((((-721)) . T)) ((((-721)) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) ((((-1214)) . T)) -(-2171 (|has| |#2| (-817)) (|has| |#2| (-872))) +(-2172 (|has| |#2| (-817)) (|has| |#2| (-872))) (((|#1|) |has| |#1| (-175))) ((((-1214)) . T)) (((|#1| |#1|) . T)) @@ -3938,19 +3938,19 @@ (((|#1| (-560)) . T)) (((|#1|) . T)) ((((-421 (-560))) . T) (((-560)) . T) (($) . T)) -((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T)) +((($ (-1209)) -2172 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T)) (((|#1|) |has| |#1| (-175))) ((((-1214)) . T)) ((((-1214)) . T)) ((((-1214)) . T)) ((((-1214)) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) ((((-1214)) . T)) ((((-1214)) . T)) (|has| |#1| (-376)) (|has| |#1| (-376)) -(-2171 (|has| |#1| (-175)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-175)) (|has| |#1| (-571))) (((|#1| (-560)) . T)) (((|#1| (-421 (-560))) . T)) (((|#1| (-793)) . T)) @@ -3958,15 +3958,15 @@ (((|#1| (-545 |#2|) |#2|) . T)) ((((-560) |#1|) . T)) ((((-560) |#1|) . T)) -(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133))) -(-2171 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239))) +(-2172 (|has| |#1| (-102)) (|has| |#1| (-1133))) +(-2172 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239))) ((((-560) |#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1|) . T)) ((((-916 (-391))) . T) (((-916 (-560))) . T) (((-1209)) . T) (((-549)) . T)) -(-2171 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) -(-2171 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-133)) (|has| |#2| (-133))) (-12 (|has| |#1| (-817)) (|has| |#2| (-817)))) +(-2172 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081))) +(-2172 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-133)) (|has| |#2| (-133))) (-12 (|has| |#1| (-817)) (|has| |#2| (-817)))) ((((-888)) . T)) ((((-560)) . T)) ((((-560)) . T)) @@ -3975,7 +3975,7 @@ (((|#1|) . T)) ((((-1209)) -12 (|has| |#2| (-928 (-1209))) (|has| |#2| (-1081)))) (|has| |#2| (-1081)) -(-2171 (-12 (|has| |#1| (-487)) (|has| |#2| (-487))) (-12 (|has| |#1| (-748)) (|has| |#2| (-748)))) +(-2172 (-12 (|has| |#1| (-487)) (|has| |#2| (-487))) (-12 (|has| |#1| (-748)) (|has| |#2| (-748)))) (|has| |#1| (-147)) (|has| |#1| (-149)) (|has| |#1| (-376)) @@ -4008,7 +4008,7 @@ (((|#1| |#2|) . T)) ((((-560)) . T) ((|#2|) |has| |#2| (-175))) ((((-115)) . T) ((|#1|) . T) (((-560)) . T)) -(-2171 (|has| |#1| (-363)) (|has| |#1| (-381))) +(-2172 (|has| |#1| (-363)) (|has| |#1| (-381))) (((|#1| |#2|) . T)) ((((-229)) . T)) ((((-421 (-560))) . T) (($) . T) (((-560)) . T)) @@ -4017,11 +4017,11 @@ ((($) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (((-560)) |has| |#1| (-660 (-560)))) ((($) . T) (((-560)) |has| |#1| (-660 (-560))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560))))) (((|#2|) |has| |#2| (-1133)) (((-560)) -12 (|has| |#2| (-1070 (-560))) (|has| |#2| (-1133))) (((-421 (-560))) -12 (|has| |#2| (-1070 (-421 (-560)))) (|has| |#2| (-1133)))) -(-2171 (|has| |#2| (-240)) (|has| |#2| (-239))) +(-2172 (|has| |#2| (-240)) (|has| |#2| (-239))) (((|#1|) . T)) (((|#1|) . T)) ((((-549)) |has| |#1| (-633 (-549)))) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133)))) ((((-560) $) . T) (((-663 (-560)) $) . T)) ((($) . T) (((-421 (-560))) . T)) (|has| |#1| (-940)) @@ -4033,14 +4033,14 @@ (((|#1| |#1|) |has| |#1| (-175))) (((|#1|) . T) (((-560)) . T)) ((((-1214)) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-571))) -(-2171 (|has| |#1| (-21)) (|has| |#1| (-871))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-571))) +(-2172 (|has| |#1| (-21)) (|has| |#1| (-871))) (((|#2|) . T)) -(-2171 (|has| |#1| (-21)) (|has| |#1| (-871))) +(-2172 (|has| |#1| (-21)) (|has| |#1| (-871))) (((|#1|) |has| |#1| (-175))) (((|#1|) . T)) (((|#1|) . T)) -((((-888)) -2171 (-12 (|has| |#1| (-632 (-888))) (|has| |#2| (-632 (-888)))) (-12 (|has| |#1| (-1133)) (|has| |#2| (-1133))))) +((((-888)) -2172 (-12 (|has| |#1| (-632 (-888))) (|has| |#2| (-632 (-888)))) (-12 (|has| |#1| (-1133)) (|has| |#2| (-1133))))) ((((-421 |#2|) |#3|) . T)) ((((-421 (-560))) . T) (($) . T)) (|has| |#1| (-38 (-421 (-560)))) @@ -4049,7 +4049,7 @@ ((($) . T) (((-560)) . T)) (|has| (-421 |#2|) (-149)) (|has| (-421 |#2|) (-147)) -(-2171 (|has| |#3| (-817)) (|has| |#3| (-872))) +(-2172 (|has| |#3| (-817)) (|has| |#3| (-872))) ((($) . T)) ((((-721)) . T)) (((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T)) @@ -4065,7 +4065,7 @@ ((((-1214)) . T)) ((((-560)) . T)) (((|#2|) . T)) -((((-1209)) -2171 (-12 (|has| (-1207 |#1| |#2| |#3|) (-928 (-1209))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))))) +((((-1209)) -2172 (-12 (|has| (-1207 |#1| |#2| |#3|) (-928 (-1209))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))))) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209))))) ((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-793) |#1|))) (|has| |#1| (-928 (-1209))))) (((|#1| |#1|) . T) (($ $) . T)) @@ -4094,7 +4094,7 @@ (((|#1|) . T)) (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560)))) -((((-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) +((((-1209)) -2172 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209))))) ((((-888)) . T)) (((|#2|) . T)) ((((-888)) . T)) @@ -4104,15 +4104,15 @@ ((((-1207 |#1| |#2| |#3|)) . T)) ((((-1207 |#1| |#2| |#3|)) . T) (((-1200 |#1| |#2| |#3|)) . T)) ((((-888)) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) ((((-560) |#1|) . T)) ((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376))) (((|#1| |#2| |#3| |#4|) . T)) (((|#1|) . T)) (((|#2|) . T)) (|has| |#2| (-376)) -(((|#3|) . T) ((|#2|) . T) ((|#4|) -2171 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1081))) (($) |has| |#4| (-1081)) (((-560)) -12 (|has| |#4| (-660 (-560))) (|has| |#4| (-1081)))) -(((|#2|) . T) ((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081))) (($) |has| |#3| (-1081)) (((-560)) -12 (|has| |#3| (-660 (-560))) (|has| |#3| (-1081)))) +(((|#3|) . T) ((|#2|) . T) ((|#4|) -2172 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1081))) (($) |has| |#4| (-1081)) (((-560)) -12 (|has| |#4| (-660 (-560))) (|has| |#4| (-1081)))) +(((|#2|) . T) ((|#3|) -2172 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081))) (($) |has| |#3| (-1081)) (((-560)) -12 (|has| |#3| (-660 (-560))) (|has| |#3| (-1081)))) (((|#1|) . T)) (((|#1|) . T)) ((((-118 |#1|)) . T)) @@ -4126,7 +4126,7 @@ ((((-186)) . T) (((-888)) . T)) ((((-888)) . T)) (((|#1|) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) ((((-560) |#1|) . T) (((-1266 (-560)) $) . T)) ((((-888)) . T)) (((|#1|) . T)) @@ -4134,9 +4134,9 @@ (((|#1|) . T)) (((|#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) (($ $) . T) (((-560) |#1|) . T)) ((($ $) . T) (((-421 (-560)) |#1|) . T)) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-940))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-940))) ((($ (-1209)) |has| |#1| (-1081))) -(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133))) +(-2172 (|has| |#1| (-872)) (|has| |#1| (-1133))) ((((-888)) . T)) ((((-888)) . T)) ((((-888)) . T)) @@ -4156,8 +4156,8 @@ ((((-1214)) . T)) ((((-888)) . T) (((-1214)) . T)) ((((-888)) . T) (((-1214)) . T)) -(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) -(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) +(-2172 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) +(-2172 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((($) . T)) (((|#2| (-545 (-889 |#1|))) . T)) ((((-1214)) . T)) @@ -4172,7 +4172,7 @@ ((((-1214)) . T)) ((((-888)) . T) (((-1214)) . T)) ((((-1214)) . T)) -((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) +((((-888)) -2172 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133)))) (((|#1| |#2|) . T)) (((|#1|) . T)) ((((-1191) |#1|) . T)) @@ -4190,14 +4190,14 @@ ((((-560)) . T) (($) . T)) (((|#2| $) |has| |#2| (-298 |#2| |#2|))) (((|#1| (-663 |#1|)) |has| |#1| (-871))) -(-2171 (|has| |#1| (-240)) (|has| |#1| (-363))) -(-2171 (|has| |#1| (-376)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-240)) (|has| |#1| (-363))) +(-2172 (|has| |#1| (-376)) (|has| |#1| (-363))) ((((-1296 |#1|)) . T) (((-560)) . T) ((|#2|) . T) (((-421 (-560))) |has| |#2| (-1070 (-421 (-560))))) (|has| |#1| (-1133)) (((|#1|) . T)) ((((-421 (-560))) . T) (($) . T)) -((((-1296 |#1|)) . T) (((-560)) . T) (($) -2171 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) (((-1114)) . T) ((|#2|) . T) (((-421 (-560))) -2171 (|has| |#2| (-38 (-421 (-560)))) (|has| |#2| (-1070 (-421 (-560)))))) -((((-1028 |#1|)) . T) ((|#1|) . T) (((-560)) -2171 (|has| (-1028 |#1|) (-1070 (-560))) (|has| |#1| (-1070 (-560)))) (((-421 (-560))) -2171 (|has| (-1028 |#1|) (-1070 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560)))))) +((((-1296 |#1|)) . T) (((-560)) . 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196862) ((-1203 . -670) 196751) ((-1157 . -670) 196640) ((-879 . -670) 196614) ((-740 . -632) 196596) ((-561 . -381) T) ((-1321 . -23) T) ((-716 . -930) NIL) ((-1320 . -23) T) ((-505 . -1133) T) ((-391 . -635) 196546) ((-391 . -637) 196528) ((-1066 . -1081) T) ((-890 . -102) T) ((-1221 . -298) 196507) ((-171 . -381) 196458) ((-1036 . -1249) T) ((-1003 . -1249) T) ((-944 . -1249) T) ((-858 . -635) 196412) ((-852 . -635) 196367) ((-44 . -23) T) ((-1329 . -102) T) ((-493 . -298) 196346) ((-597 . -1133) T) ((-1178 . -1141) 196315) ((-443 . -1249) T) ((-1135 . -1136) 196267) ((-404 . -21) T) ((-404 . -25) T) ((-154 . -1144) T) ((-1242 . -739) 196164) ((-1229 . -1133) T) ((-1036 . -910) 196146) ((-1036 . -912) 196128) ((-642 . -234) 196112) ((-642 . -274) 196096) ((-638 . -21) T) ((-301 . -571) T) ((-638 . -25) T) ((-1036 . -1070) 196056) ((-733 . -739) 196021) ((-246 . -390) 195990) ((-391 . -1081) T) ((-227 . -1089) T) ((-119 . -274) 195967) ((-119 . -234) 195944) ((-58 . -298) 195896) 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T) ((-530 . -19) 194470) ((-510 . -19) 194454) ((-58 . -618) 194431) ((-1035 . -239) 194368) ((-931 . -102) 194318) ((-879 . -748) T) ((-803 . -1133) T) ((-530 . -618) 194295) ((-510 . -618) 194272) ((-802 . -1133) T) ((-802 . -1097) 194239) ((-475 . -1133) T) ((-468 . -1133) T) ((-597 . -739) 194214) ((-671 . -1133) T) ((-1289 . -47) 194191) ((-1286 . -102) T) ((-1280 . -47) 194161) ((-1259 . -47) 194138) ((-1242 . -175) 194089) ((-1206 . -319) 194068) ((-1200 . -319) 194047) ((-1128 . -635) 194028) ((-1123 . -635) 194009) ((-1111 . -571) 193960) ((-1111 . -1254) 193911) ((-1105 . -635) 193892) ((-1036 . -928) NIL) ((-1098 . -635) 193873) ((-692 . -133) T) ((-646 . -1144) T) ((-1068 . -635) 193854) ((-1051 . -635) 193835) ((-736 . -1088) 193805) ((-734 . -922) 193708) ((-721 . -668) 193658) ((-286 . -1133) T) ((-86 . -455) T) ((-86 . -410) T) ((-733 . -175) T) ((-659 . -1088) 193642) ((-50 . -1133) T) ((-609 . -47) 193619) ((-229 . -670) 193584) ((-595 . -1133) T) ((-532 . -1133) T) 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T) ((-492 . -93) T) ((-421 . -239) 191110) ((-368 . -632) 191092) ((-366 . -632) 191074) ((-358 . -632) 191056) ((-275 . -633) 190804) ((-275 . -632) 190786) ((-255 . -632) 190768) ((-255 . -633) 190629) ((-140 . -93) T) ((-139 . -93) T) ((-135 . -93) T) ((-1173 . -632) 190611) ((-1152 . -662) 190598) ((-1152 . -1083) 190585) ((-843 . -748) T) ((-843 . -882) T) ((-616 . -300) 190562) ((-595 . -739) 190527) ((-493 . -633) NIL) ((-493 . -632) 190509) ((-532 . -739) 190454) ((-326 . -102) T) ((-325 . -102) T) ((-301 . -23) T) ((-154 . -133) T) ((-936 . -632) 190436) ((-936 . -633) 190418) ((-400 . -748) T) ((-897 . -1088) 190370) ((-897 . -111) 190308) ((-736 . -1081) T) ((-734 . -1275) 190292) ((-716 . -363) NIL) ((-115 . -102) T) ((-141 . -102) T) ((-137 . -102) T) ((-533 . -632) 190224) ((-391 . -821) T) ((-170 . -1249) T) ((-227 . -1133) T) ((-391 . -816) T) ((-58 . -633) 190185) ((-229 . -818) T) ((-229 . -814) T) ((-58 . -632) 190097) ((-229 . -748) T) ((-530 . -633) 190058) ((-530 . -632) 189970) ((-511 . -632) 189902) ((-510 . -633) 189863) ((-510 . -632) 189775) ((-1111 . -376) 189726) ((-40 . -426) 189703) ((-78 . -1249) T) ((-896 . -940) NIL) ((-372 . -341) 189687) ((-372 . -376) T) ((-367 . -341) 189671) ((-367 . -376) T) ((-359 . -341) 189655) ((-359 . -376) T) ((-326 . -296) 189634) ((-108 . -376) T) ((-70 . -1249) T) ((-661 . -1133) T) ((-1259 . -351) 189586) ((-896 . -670) 189531) ((-1259 . -390) 189483) ((-994 . -133) 189338) ((-839 . -133) 189209) ((-45 . -875) NIL) ((-988 . -673) 189193) ((-1258 . -684) T) ((-1119 . -175) 189104) ((-988 . -385) 189088) ((-1094 . -818) T) ((-1094 . -814) T) ((-897 . -635) 188986) ((-803 . -175) 188877) ((-802 . -175) 188788) ((-840 . -47) 188750) ((-1094 . -748) T) ((-339 . -503) 188734) ((-976 . -748) T) ((-1313 . -321) 188672) ((-1289 . -928) 188585) ((-468 . -175) 188496) ((-252 . -298) 188448) ((-1285 . -1088) 188283) ((-1280 . -928) 188189) ((-1264 . -1088) 187997) ((-495 . -748) T) ((-1259 . -928) 187830) 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186893) ((-1264 . -111) 186682) ((-252 . -1288) 186666) ((-560 . -871) T) ((-372 . -23) T) ((-353 . -363) T) ((-326 . -321) 186653) ((-325 . -321) 186594) ((-367 . -23) T) ((-331 . -133) T) ((-359 . -23) T) ((-1036 . -1052) T) ((-31 . -635) 186575) ((-108 . -23) T) ((-678 . -1083) 186559) ((-252 . -618) 186536) ((-661 . -739) 186520) ((-345 . -1133) T) ((-678 . -662) 186490) ((-1286 . -38) 186382) ((-1268 . -940) 186361) ((-114 . -1133) T) ((-840 . -1249) T) ((-427 . -1249) T) ((-1067 . -102) T) ((-1268 . -670) 186250) ((-896 . -818) NIL) ((-880 . -670) 186224) ((-896 . -814) NIL) ((-840 . -912) NIL) ((-896 . -748) T) ((-1119 . -528) 186097) ((-803 . -528) 186044) ((-802 . -528) 185996) ((-585 . -670) 185983) ((-840 . -1070) 185811) ((-468 . -528) 185754) ((-402 . -403) T) ((-1285 . -635) 185567) ((-1264 . -635) 185315) ((-60 . -1249) T) ((-638 . -872) 185294) ((-514 . -684) T) ((-1178 . -1008) 185263) ((-1056 . -668) 185200) ((-1035 . -466) T) ((-721 . -871) T) ((-525 . -816) T) 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-1133) T) ((-919 . -102) T) ((-803 . -302) 183517) ((-339 . -19) 183501) ((-58 . -300) 183478) ((-802 . -302) 183409) ((-880 . -748) T) ((-119 . -871) NIL) ((-530 . -300) 183386) ((-339 . -618) 183363) ((-510 . -300) 183340) ((-468 . -302) 183271) ((-1067 . -321) 183122) ((-901 . -504) 183103) ((-901 . -632) 183069) ((-703 . -504) 183050) ((-585 . -748) T) ((-698 . -504) 183031) ((-703 . -632) 182981) ((-698 . -632) 182947) ((-674 . -632) 182929) ((-492 . -504) 182910) ((-492 . -632) 182876) ((-252 . -633) 182837) ((-252 . -504) 182814) ((-140 . -504) 182795) ((-139 . -504) 182776) ((-135 . -504) 182757) ((-252 . -632) 182649) ((-216 . -102) T) ((-140 . -632) 182615) ((-139 . -632) 182581) ((-135 . -632) 182547) ((-1180 . -34) T) ((-973 . -1249) T) ((-357 . -739) 182492) ((-692 . -25) T) ((-692 . -21) T) ((-1209 . -635) 182473) ((-343 . -1249) T) ((-488 . -1081) T) ((-652 . -432) 182438) ((-620 . -432) 182403) ((-1152 . -1184) T) ((-1280 . -319) 182382) ((-734 . -1083) 182205) ((-595 . -302) T) ((-532 . -302) T) ((-1259 . -319) 182184) ((-488 . -240) 182136) ((-488 . -250) 182115) ((-453 . -1249) T) ((-734 . -662) 181944) ((-1259 . -1052) NIL) ((-1111 . -133) T) ((-897 . -821) 181923) ((-146 . -102) T) ((-40 . -1133) T) ((-897 . -816) 181902) ((-663 . -1042) 181886) ((-594 . -1089) T) ((-560 . -1089) T) ((-509 . -1089) T) ((-421 . -466) T) ((-372 . -133) T) ((-326 . -414) 181870) ((-325 . -414) 181831) ((-367 . -133) T) ((-359 . -133) T) ((-1214 . -1133) T) ((-1152 . -38) 181818) ((-1121 . -632) 181785) ((-108 . -133) T) ((-984 . -1133) T) ((-949 . -1133) T) ((-793 . -1133) T) ((-694 . -1133) T) ((-723 . -149) T) ((-623 . -102) T) ((-118 . -149) T) ((-1321 . -21) T) ((-1321 . -25) T) ((-1320 . -21) T) ((-1320 . -25) T) ((-686 . -1088) 181769) ((-545 . -872) T) ((-514 . -872) T) ((-377 . -1249) T) ((-368 . -1088) 181721) ((-366 . -1088) 181673) ((-358 . -1088) 181625) ((-260 . -1249) T) ((-259 . -1249) T) ((-275 . -1088) 181468) ((-255 . -1088) 181311) ((-686 . -111) 181290) ((-841 . -1254) 181269) ((-562 . -868) T) ((-326 . -930) 181235) ((-368 . -111) 181173) ((-366 . -111) 181111) ((-358 . -111) 181049) ((-275 . -111) 180878) ((-255 . -111) 180707) ((-325 . -930) NIL) ((-642 . -426) 180691) ((-44 . -21) T) ((-44 . -25) T) ((-932 . -875) 180642) ((-130 . -684) T) ((-839 . -660) 180548) ((-841 . -571) 180527) ((-501 . -875) T) ((-260 . -1070) 180354) ((-259 . -1070) 180181) ((-128 . -121) 180165) ((-221 . -875) T) ((-936 . -1088) 180130) ((-734 . -102) T) ((-721 . -1089) T) ((-611 . -635) 180111) ((-600 . -635) 180092) ((-549 . -637) 179995) ((-357 . -175) T) ((-154 . -21) T) ((-154 . -25) T) ((-87 . -632) 179977) ((-936 . -111) 179933) ((-40 . -739) 179878) ((-894 . -1133) T) ((-686 . -635) 179855) ((-667 . -635) 179836) ((-368 . -635) 179773) ((-366 . -635) 179710) ((-358 . -635) 179647) ((-562 . -1133) T) ((-339 . -633) 179608) ((-339 . -632) 179520) ((-275 . -635) 179273) ((-255 . -635) 179058) ((-190 . -1249) T) ((-1264 . -816) 179011) 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177475) ((-1086 . -23) T) ((-1056 . -871) T) ((-936 . -1081) T) ((-334 . -670) 177457) ((-723 . -239) T) ((-692 . -236) 177402) ((-1206 . -951) 177381) ((-1200 . -951) 177360) ((-1200 . -844) NIL) ((-1028 . -1083) 177256) ((-997 . -1249) T) ((-936 . -250) T) ((-841 . -376) 177235) ((-218 . -1133) T) ((-394 . -23) T) ((-129 . -1133) 177213) ((-123 . -1133) 177191) ((-936 . -240) T) ((-131 . -34) T) ((-391 . -670) 177156) ((-1028 . -662) 177104) ((-894 . -739) 177091) ((-1329 . -668) 177063) ((-1078 . -153) 177028) ((-1025 . -1249) T) ((-888 . -1249) T) ((-40 . -175) T) ((-716 . -426) 177010) ((-734 . -321) 176997) ((-858 . -670) 176957) ((-852 . -670) 176931) ((-331 . -25) T) ((-331 . -21) T) ((-676 . -298) 176910) ((-594 . -1133) T) ((-560 . -1133) T) ((-509 . -1133) T) ((-1203 . -1249) T) ((-252 . -300) 176887) ((-1157 . -1249) T) ((-879 . -1249) T) ((-325 . -274) 176848) ((-325 . -234) 176809) ((-1255 . -875) T) ((-1203 . -912) NIL) ((-55 . -1133) T) ((-1157 . -912) 176668) ((-130 . -872) T) ((-1203 . -1070) 176548) ((-1157 . -1070) 176431) ((-187 . -632) 176413) ((-879 . -1070) 176309) ((-803 . -298) 176236) ((-841 . -1144) T) ((-1066 . -748) T) ((-1078 . -1008) 176165) ((-616 . -673) 176149) ((-1035 . -922) 176056) ((-1028 . -102) T) ((-841 . -23) T) ((-734 . -1184) 176034) ((-716 . -1089) T) ((-616 . -385) 176018) ((-365 . -466) T) ((-357 . -302) T) ((-1302 . -1133) T) ((-256 . -1133) T) ((-413 . -102) T) ((-301 . -21) T) ((-301 . -25) T) ((-374 . -748) T) ((-732 . -1133) T) ((-721 . -1133) T) ((-374 . -487) T) ((-1242 . -632) 176000) ((-1203 . -390) 175984) ((-1157 . -390) 175968) ((-1056 . -426) 175930) ((-143 . -233) 175912) ((-391 . -818) T) ((-391 . -814) T) ((-894 . -175) T) ((-391 . -748) T) ((-733 . -632) 175894) ((-734 . -38) 175723) ((-1299 . -1298) 175707) ((-365 . -416) T) ((-1299 . -1133) 175657) ((-1223 . -1133) T) ((-594 . -739) 175644) ((-560 . -739) 175631) ((-509 . -739) 175596) ((-1286 . -668) 175486) ((-326 . -649) 175465) ((-858 . -748) T) 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T) ((-901 . -635) 174647) ((-736 . -670) 174607) ((-501 . -1254) T) ((-703 . -635) 174588) ((-698 . -635) 174569) ((-659 . -670) 174553) ((-221 . -1254) T) ((-421 . -922) 174474) ((-229 . -1070) 174434) ((-40 . -302) T) ((-501 . -571) T) ((-492 . -635) 174415) ((-372 . -25) T) ((-326 . -668) 174070) ((-325 . -668) 173984) ((-372 . -21) T) ((-367 . -25) T) ((-367 . -21) T) ((-221 . -571) T) ((-359 . -25) T) ((-359 . -21) T) ((-331 . -236) 173930) ((-252 . -635) 173907) ((-140 . -635) 173888) ((-139 . -635) 173869) ((-135 . -635) 173850) ((-108 . -25) T) ((-108 . -21) T) ((-48 . -1089) T) ((-594 . -175) T) ((-560 . -175) T) ((-509 . -175) T) ((-1094 . -1249) T) ((-976 . -1249) T) ((-735 . -1249) T) ((-661 . -298) 173817) ((-676 . -632) 173799) ((-495 . -1249) T) ((-758 . -759) 173783) ((-346 . -632) 173765) ((-68 . -396) T) ((-68 . -410) T) ((-1129 . -107) 173749) ((-1094 . -912) 173731) ((-976 . -912) 173656) ((-677 . -1144) T) ((-642 . -739) 173643) ((-495 . -912) NIL) ((-1178 . -102) T) ((-1121 . -637) 173627) ((-1094 . -1070) 173609) ((-97 . -632) 173591) ((-491 . -149) T) ((-976 . -1070) 173471) ((-119 . -739) 173416) ((-734 . -930) 173323) ((-677 . -23) T) ((-495 . -1070) 173199) ((-1119 . -633) NIL) ((-1119 . -632) 173181) ((-803 . -633) NIL) ((-803 . -632) 173142) ((-802 . -633) 172776) ((-802 . -632) 172690) ((-1145 . -660) 172596) ((-822 . -875) 172575) ((-475 . -632) 172557) ((-468 . -632) 172539) ((-468 . -633) 172400) ((-1067 . -233) 172346) ((-897 . -940) 172325) ((-128 . -34) T) ((-841 . -133) T) ((-671 . -632) 172307) ((-592 . -102) T) ((-368 . -1318) 172291) ((-366 . -1318) 172275) ((-358 . -1318) 172259) ((-123 . -528) 172192) ((-129 . -528) 172125) ((-526 . -816) T) ((-526 . -821) T) ((-525 . -818) T) ((-103 . -321) 172063) ((-226 . -102) 172013) ((-721 . -175) T) ((-716 . -1133) T) ((-897 . -670) 171929) ((-65 . -398) T) ((-286 . -632) 171911) ((-65 . -410) T) ((-976 . -390) 171895) ((-894 . -302) T) ((-50 . -632) 171877) ((-1152 . -668) 171849) ((-1028 . -38) 171797) ((-626 . -1133) T) ((-621 . -1133) T) ((-595 . -632) 171779) ((-495 . -390) 171763) ((-595 . -633) 171745) ((-532 . -632) 171727) ((-936 . -1318) 171714) ((-896 . -1249) T) ((-723 . -466) T) ((-509 . -528) 171680) ((-1311 . -1249) T) ((-1310 . -1249) T) ((-501 . -376) T) ((-368 . -381) 171659) ((-366 . -381) 171638) ((-358 . -381) 171617) ((-736 . -748) T) ((-221 . -376) T) ((-118 . -466) T) ((-1323 . -1314) 171601) ((-896 . -910) 171578) ((-896 . -912) NIL) ((-994 . -872) 171477) ((-839 . -872) 171428) ((-1257 . -102) T) ((-678 . -680) 171412) ((-1236 . -34) T) ((-174 . -632) 171394) ((-1145 . -25) 171227) ((-1145 . -21) 171138) ((-896 . -1070) 171115) ((-976 . -928) 171096) ((-1268 . -47) 171073) ((-936 . -381) T) ((-607 . -875) T) ((-58 . -673) 171057) ((-530 . -673) 171041) ((-495 . -928) 171018) ((-71 . -455) T) ((-71 . -410) T) ((-510 . -673) 171002) ((-58 . -385) 170986) ((-642 . -175) T) ((-530 . -385) 170970) ((-510 . -385) 170954) ((-561 . -1249) T) 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169671) ((-359 . -236) 169644) ((-177 . -466) T) ((-82 . -455) T) ((-226 . -321) 169582) ((-82 . -410) T) ((-227 . -632) 169564) ((-108 . -236) 169551) ((-221 . -23) T) ((-1324 . -1319) 169530) ((-699 . -1070) 169514) ((-594 . -302) T) ((-560 . -302) T) ((-509 . -302) T) ((-1268 . -1249) T) ((-137 . -484) 169469) ((-880 . -1249) T) ((-678 . -668) 169428) ((-48 . -1133) T) ((-734 . -274) 169412) ((-734 . -234) 169396) ((-896 . -928) NIL) ((-585 . -1249) T) ((-1268 . -912) NIL) ((-914 . -102) T) ((-911 . -102) T) ((-661 . -632) 169378) ((-402 . -1133) T) ((-171 . -390) 169362) ((-171 . -351) 169346) ((-1268 . -1070) 169226) ((-880 . -1070) 169122) ((-1174 . -102) T) ((-1028 . -930) 169045) ((-677 . -133) T) ((-674 . -816) 169024) ((-674 . -821) 169003) ((-119 . -528) 168911) ((-585 . -1070) 168893) ((-305 . -1307) 168863) ((-1200 . -875) NIL) ((-891 . -102) T) ((-986 . -571) 168842) ((-1242 . -1088) 168725) ((-1035 . -1083) 168670) ((-496 . -660) 168576) ((-935 . -1133) T) ((-1056 . -739) 168513) ((-733 . -1088) 168478) ((-1035 . -662) 168423) ((-636 . -102) T) ((-616 . -34) T) ((-1180 . -1249) T) ((-1242 . -111) 168292) ((-488 . -670) 168189) ((-353 . -739) 168134) ((-171 . -928) 168093) ((-721 . -302) T) ((-716 . -175) T) ((-733 . -111) 168049) ((-1329 . -1089) T) ((-1268 . -390) 168033) ((-419 . -1254) 168011) ((-1147 . -632) 167993) ((-325 . -871) NIL) ((-419 . -571) T) ((-229 . -319) T) ((-1264 . -814) 167946) ((-1264 . -818) 167899) ((-1285 . -748) T) ((-1264 . -748) T) ((-48 . -739) 167864) ((-229 . -1052) T) ((-1286 . -426) 167830) ((-1268 . -928) 167773) ((-365 . -1307) 167750) ((-1242 . -635) 167632) ((-740 . -748) T) ((-345 . -632) 167614) ((-534 . -875) 167593) ((-1145 . -236) 167484) ((-114 . -632) 167466) ((-114 . -633) 167448) ((-740 . -487) T) ((-733 . -635) 167398) ((-1323 . -1083) 167382) ((-496 . -25) 167215) ((-129 . -503) 167199) ((-123 . -503) 167183) ((-496 . -21) 167094) ((-1323 . -662) 167064) ((-642 . -302) T) ((-597 . -1088) 167039) 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-1249) T) ((-48 . -175) T) ((-723 . -401) T) ((-723 . -145) T) ((-1323 . -102) T) ((-1231 . -1249) T) ((-1229 . -635) 166372) ((-1120 . -1249) T) ((-1119 . -1088) 166215) ((-1107 . -1249) T) ((-275 . -940) 166194) ((-255 . -940) 166173) ((-803 . -1088) 165996) ((-802 . -1088) 165839) ((-627 . -1249) T) ((-1197 . -632) 165821) ((-1119 . -111) 165650) ((-1078 . -102) T) ((-489 . -1249) T) ((-475 . -1088) 165621) ((-468 . -1088) 165464) ((-686 . -670) 165448) ((-896 . -319) T) ((-803 . -111) 165257) ((-802 . -111) 165086) ((-368 . -670) 165038) ((-366 . -670) 164990) ((-358 . -670) 164942) ((-275 . -670) 164831) ((-255 . -670) 164720) ((-1191 . -872) T) ((-1120 . -1070) 164704) ((-1107 . -1070) 164681) ((-1036 . -875) T) ((-1032 . -34) T) ((-475 . -111) 164642) ((-468 . -111) 164471) ((-1003 . -875) T) ((-996 . -632) 164453) ((-988 . -1249) T) ((-986 . -1144) T) ((-128 . -1042) 164437) ((-873 . -1249) T) ((-896 . -1052) NIL) ((-757 . -1144) T) ((-737 . -1144) T) ((-676 . -635) 164355) 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-1133) 145962) ((-1257 . -868) T) ((-331 . -1005) 145924) ((-105 . -102) T) ((-48 . -1088) 145889) ((-896 . -875) NIL) ((-1324 . -102) T) ((-395 . -102) T) ((-1286 . -632) 145871) ((-1165 . -1166) 145855) ((-1036 . -660) 145837) ((-901 . -1249) T) ((-48 . -111) 145793) ((-703 . -1249) T) ((-698 . -1249) T) ((-674 . -1249) T) ((-839 . -922) 145660) ((-492 . -1249) T) ((-252 . -1249) T) ((-545 . -102) T) ((-514 . -102) T) ((-154 . -1307) 145644) ((-140 . -1249) T) ((-139 . -1249) T) ((-135 . -1249) T) ((-1250 . -102) T) ((-1056 . -635) 145581) ((-841 . -239) T) ((-1203 . -1254) 145560) ((-218 . -381) T) ((-353 . -635) 145490) ((-1157 . -1254) 145469) ((-246 . -25) 145302) ((-246 . -21) 145213) ((-129 . -121) 145197) ((-123 . -121) 145181) ((-44 . -766) 145165) ((-1203 . -571) 145076) ((-1157 . -571) 145007) ((-1257 . -1133) T) ((-561 . -875) T) ((-1067 . -298) 144982) ((-1199 . -1115) T) ((-1026 . -1115) T) ((-840 . -133) T) ((-119 . -821) NIL) ((-119 . -816) NIL) ((-368 . -319) T) 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142991) ((-1221 . -107) 142941) ((-669 . -153) 142925) ((-651 . -153) 142871) ((-118 . -668) 142843) ((-493 . -1226) 142822) ((-501 . -149) T) ((-501 . -147) NIL) ((-1152 . -633) 142737) ((-452 . -632) 142719) ((-221 . -149) T) ((-221 . -147) NIL) ((-1152 . -632) 142701) ((-130 . -102) T) ((-51 . -102) T) ((-1259 . -660) 142653) ((-493 . -107) 142603) ((-1025 . -23) T) ((-1324 . -38) 142573) ((-1203 . -1144) T) ((-1157 . -1144) T) ((-1094 . -1254) T) ((-246 . -236) 142464) ((-324 . -102) T) ((-879 . -1144) T) ((-976 . -1254) 142443) ((-495 . -1254) 142422) ((-1094 . -571) T) ((-976 . -571) 142353) ((-1203 . -23) T) ((-1185 . -1115) T) ((-1157 . -23) T) ((-879 . -23) T) ((-495 . -571) 142284) ((-1174 . -739) 142216) ((-692 . -1083) 142200) ((-1178 . -528) 142133) ((-692 . -662) 142117) ((-1067 . -633) NIL) ((-1067 . -632) 142099) ((-96 . -1115) T) ((-1329 . -1088) 142086) ((-891 . -739) 142056) ((-1329 . -111) 142041) ((-1242 . -47) 142010) ((-1200 . -872) NIL) ((-260 . -133) T) ((-259 . -133) T) ((-1135 . -1133) T) ((-1035 . -1133) T) ((-63 . -632) 141992) ((-1111 . -922) 141861) ((-1056 . -816) T) ((-1056 . -821) T) ((-1289 . -25) T) ((-1289 . -21) T) ((-1280 . -21) T) ((-1280 . -25) T) ((-894 . -670) 141848) ((-1259 . -21) T) ((-1259 . -25) T) ((-1059 . -153) 141832) ((-1036 . -236) 141819) ((-897 . -844) 141798) ((-897 . -951) T) ((-734 . -298) 141725) ((-610 . -21) T) ((-352 . -668) 141684) ((-108 . -922) NIL) ((-610 . -25) T) ((-609 . -21) T) ((-177 . -668) 141601) ((-40 . -748) T) ((-226 . -528) 141534) ((-609 . -25) T) ((-490 . -153) 141518) ((-477 . -153) 141502) ((-187 . -1249) T) ((-949 . -818) T) ((-949 . -748) T) ((-793 . -817) T) ((-793 . -818) T) ((-520 . -1133) T) ((-516 . -1133) T) ((-793 . -748) T) ((-229 . -376) T) ((-1321 . -1083) 141486) ((-1320 . -1083) 141470) ((-1321 . -662) 141440) ((-1187 . -1133) 141418) ((-896 . -1254) T) ((-1320 . -662) 141388) ((-1120 . -875) T) ((-678 . -632) 141370) ((-896 . -571) T) ((-716 . -381) NIL) ((-44 . -1083) 141354) ((-1329 . -635) 141336) ((-1323 . -1133) T) ((-692 . -102) T) ((-372 . -1307) 141320) ((-367 . -1307) 141304) ((-44 . -662) 141288) ((-359 . -1307) 141272) ((-563 . -102) T) ((-1242 . -1249) T) ((-534 . -872) 141251) ((-733 . -1249) T) ((-988 . -875) 141230) ((-873 . -875) T) ((-501 . -239) T) ((-221 . -239) T) ((-1078 . -1133) T) ((-841 . -466) 141209) ((-154 . -1083) 141193) ((-1078 . -1103) 141122) ((-1059 . -1008) 141091) ((-843 . -1144) T) ((-1035 . -739) 141036) ((-154 . -662) 141020) ((-400 . -1144) T) ((-490 . -1008) 140989) ((-477 . -1008) 140958) ((-1216 . -875) T) ((-110 . -153) 140940) ((-73 . -632) 140922) ((-919 . -632) 140904) ((-1215 . -875) T) ((-1111 . -746) 140883) ((-1329 . -1081) T) ((-840 . -660) 140831) ((-305 . -1089) 140773) ((-171 . -1254) 140678) ((-229 . -1144) T) ((-336 . -23) T) ((-1200 . -1023) 140630) ((-1286 . -1088) 140535) ((-866 . -1133) T) ((-131 . -875) T) ((-1158 . -762) 140514) ((-1285 . -951) 140493) ((-1264 . -951) 140472) ((-894 . -748) T) ((-171 . -571) 140383) ((-594 . -670) 140370) ((-560 . -670) 140342) ((-421 . -1133) T) ((-270 . -1133) T) ((-216 . -632) 140324) ((-509 . -670) 140274) ((-229 . -23) T) ((-1264 . -844) 140227) ((-1321 . -102) T) ((-505 . -1249) T) ((-353 . -1318) 140204) ((-1320 . -102) T) ((-1286 . -111) 140096) ((-1145 . -922) 139963) ((-839 . -1083) 139864) ((-839 . -662) 139786) ((-146 . -632) 139768) ((-1025 . -133) T) ((-44 . -102) T) ((-246 . -872) 139719) ((-597 . -1249) T) ((-1268 . -1254) 139698) ((-103 . -503) 139682) ((-1323 . -739) 139652) ((-1119 . -47) 139613) ((-1094 . -1144) T) ((-976 . -1144) T) ((-129 . -34) T) ((-123 . -34) T) ((-1268 . -571) 139524) ((-803 . -47) 139501) ((-802 . -47) 139473) ((-1229 . -1249) T) ((-1203 . -133) T) ((-353 . -381) T) ((-495 . -1144) T) ((-1157 . -133) T) ((-896 . -376) T) ((-468 . -47) 139452) ((-879 . -133) T) ((-334 . -875) 139431) ((-154 . -102) T) ((-1094 . -23) T) ((-976 . -23) T) ((-585 . -571) T) ((-840 . -25) T) ((-840 . -21) T) 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137312) ((-1119 . -1249) T) ((-1067 . -300) 137287) ((-594 . -748) T) ((-560 . -818) T) ((-171 . -376) 137238) ((-560 . -814) T) ((-560 . -748) T) ((-509 . -748) T) ((-803 . -1249) T) ((-802 . -1249) T) ((-1178 . -503) 137222) ((-475 . -1249) T) ((-468 . -1249) T) ((-1321 . -1322) 137198) ((-1119 . -912) NIL) ((-896 . -1144) T) ((-119 . -940) NIL) ((-1320 . -1322) 137177) ((-671 . -1249) T) ((-803 . -912) NIL) ((-802 . -912) 137036) ((-1315 . -25) T) ((-1315 . -21) T) ((-1247 . -102) 137014) ((-1138 . -410) T) ((-642 . -670) 137001) ((-468 . -912) NIL) ((-697 . -102) 136951) ((-1119 . -1070) 136778) ((-896 . -23) T) ((-803 . -1070) 136637) ((-802 . -1070) 136494) ((-119 . -670) 136439) ((-468 . -1070) 136315) ((-286 . -1249) T) ((-326 . -635) 135879) ((-325 . -635) 135762) ((-50 . -1249) T) ((-404 . -668) 135731) ((-671 . -1070) 135715) ((-646 . -102) T) ((-595 . -1249) T) ((-532 . -1249) T) ((-226 . -503) 135699) ((-1299 . -34) T) ((-638 . -668) 135658) ((-301 . -1083) 135645) ((-137 . -635) 135629) ((-301 . -662) 135616) ((-652 . -739) 135600) ((-620 . -739) 135584) ((-692 . -38) 135544) ((-331 . -102) T) ((-1152 . -1088) 135531) ((-86 . -632) 135513) ((-50 . -1070) 135497) ((-1119 . -390) 135481) ((-803 . -390) 135465) ((-721 . -748) T) ((-721 . -818) T) ((-721 . -814) T) ((-60 . -57) 135427) ((-595 . -1070) 135414) ((-532 . -1070) 135391) ((-174 . -1249) T) ((-336 . -133) T) ((-326 . -1081) 135281) ((-325 . -1081) T) ((-171 . -1144) T) ((-802 . -390) 135265) ((-45 . -153) 135215) ((-1036 . -1023) 135197) ((-468 . -390) 135181) ((-421 . -175) T) ((-326 . -250) 135160) ((-325 . -250) T) ((-325 . -240) NIL) ((-305 . -1133) 134942) ((-229 . -133) T) ((-1152 . -111) 134927) ((-171 . -23) T) ((-822 . -149) 134906) ((-822 . -147) 134885) ((-260 . -660) 134791) ((-259 . -660) 134697) ((-331 . -296) 134663) ((-1187 . -528) 134596) ((-491 . -668) 134546) ((-657 . -868) T) ((-496 . -922) 134413) ((-1165 . -1133) T) ((-229 . -1092) T) ((-839 . -321) 134351) ((-1119 . -928) 134286) ((-803 . -928) 134229) ((-802 . -928) 134213) ((-1321 . -38) 134183) ((-1320 . -38) 134153) ((-1268 . -1144) T) ((-880 . -1144) T) ((-468 . -928) 134130) ((-883 . -1133) T) ((-1268 . -23) T) ((-1152 . -635) 134102) ((-1094 . -133) T) ((-880 . -23) T) ((-585 . -1144) T) ((-642 . -748) T) ((-525 . -875) T) ((-368 . -951) T) ((-366 . -951) T) ((-301 . -102) T) ((-358 . -951) T) ((-1002 . -1115) T) ((-976 . -133) T) ((-840 . -236) 134047) ((-119 . -818) NIL) ((-119 . -814) NIL) ((-119 . -748) T) ((-1078 . -528) 133948) ((-716 . -940) NIL) ((-585 . -23) T) ((-495 . -133) T) ((-419 . -239) 133899) ((-697 . -321) 133837) ((-227 . -1249) T) ((-657 . -1133) T) ((-652 . -783) T) ((-620 . -783) T) ((-1259 . -872) NIL) ((-1111 . -1083) 133747) ((-1035 . -302) T) ((-716 . -670) 133697) ((-260 . -25) T) ((-365 . -1133) T) ((-260 . -21) T) ((-259 . -25) T) ((-259 . -21) T) ((-154 . -38) 133681) ((-2 . -102) T) ((-936 . -951) T) ((-1111 . -662) 133549) ((-496 . -1307) 133519) ((-1152 . -1081) T) ((-733 . -319) T) ((-723 . -1089) T) ((-372 . -1083) 133471) ((-367 . -1083) 133423) ((-359 . -1083) 133375) ((-372 . -662) 133327) ((-227 . -1070) 133304) ((-367 . -662) 133256) ((-108 . -1083) 133206) ((-359 . -662) 133158) ((-305 . -739) 133100) ((-661 . -1249) T) ((-501 . -466) T) ((-421 . -528) 133012) ((-108 . -662) 132962) ((-221 . -466) T) ((-1152 . -240) T) ((-307 . -153) 132912) ((-1028 . -633) 132873) ((-1028 . -632) 132855) ((-1021 . -632) 132837) ((-118 . -1089) T) ((-678 . -1088) 132821) ((-229 . -507) T) ((-413 . -632) 132803) ((-413 . -633) 132780) ((-1086 . -1307) 132750) ((-678 . -111) 132729) ((-692 . -930) 132652) ((-1174 . -503) 132636) ((-1324 . -668) 132595) ((-395 . -668) 132564) ((-64 . -455) T) ((-64 . -410) T) ((-1192 . -102) T) ((-896 . -133) T) ((-498 . -102) 132514) ((-1147 . -1249) T) ((-1256 . -875) T) ((-1329 . -381) T) ((-1111 . -102) T) ((-1093 . -102) T) ((-365 . -739) 132459) ((-897 . -875) 132410) ((-753 . -149) 132389) ((-753 . -147) 132368) 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131115) ((-1191 . -102) T) ((-1268 . -133) T) ((-1264 . -875) 131014) ((-1203 . -25) T) ((-1203 . -21) T) ((-1192 . -321) 130809) ((-357 . -1249) T) ((-1157 . -25) T) ((-880 . -133) T) ((-407 . -1249) T) ((-1157 . -21) T) ((-879 . -25) T) ((-879 . -21) T) ((-803 . -319) 130788) ((-1187 . -503) 130772) ((-1183 . -153) 130722) ((-1178 . -632) 130684) ((-669 . -102) 130634) ((-651 . -102) T) ((-1178 . -633) 130595) ((-585 . -133) T) ((-638 . -871) 130574) ((-1056 . -814) T) ((-1056 . -818) T) ((-1056 . -748) T) ((-839 . -930) 130443) ((-734 . -1088) 130266) ((-616 . -875) 130245) ((-498 . -321) 130183) ((-467 . -432) 130153) ((-365 . -175) T) ((-301 . -38) 130140) ((-260 . -236) 130031) ((-259 . -236) 129922) ((-285 . -102) T) ((-284 . -102) T) ((-283 . -102) T) ((-282 . -102) T) ((-281 . -102) T) ((-280 . -102) T) ((-357 . -1070) 129899) ((-279 . -102) T) ((-215 . -102) T) ((-214 . -102) T) ((-212 . -102) T) ((-211 . -102) T) ((-210 . -102) T) ((-209 . -102) T) ((-206 . -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) ((-734 . -111) 129708) ((-353 . -748) T) ((-692 . -274) 129692) ((-692 . -234) 129676) ((-595 . -319) T) ((-532 . -319) T) ((-305 . -528) 129625) ((-1197 . -1249) T) ((-108 . -321) NIL) ((-72 . -410) T) ((-1145 . -102) 129357) ((-856 . -426) 129341) ((-1152 . -821) T) ((-1152 . -816) T) ((-723 . -1133) T) ((-592 . -632) 129323) ((-391 . -376) T) ((-171 . -507) 129301) ((-226 . -632) 129233) ((-136 . -1133) T) ((-118 . -1133) T) ((-996 . -1249) T) ((-48 . -748) T) ((-1078 . -503) 129198) ((-143 . -440) 129180) ((-143 . -381) T) ((-1059 . -102) T) ((-524 . -523) 129159) ((-734 . -635) 128915) ((-1257 . -632) 128897) ((-1214 . -1249) T) ((-1214 . -1070) 128833) ((-1207 . -239) 128792) ((-490 . -102) T) ((-477 . -102) T) ((-1206 . -239) 128744) ((-1200 . -239) 128567) ((-1066 . -1144) T) ((-331 . -930) 128473) ((-1209 . -875) T) ((-1207 . -35) 128439) ((-1207 . -95) 128405) ((-1207 . -1238) 128371) ((-1207 . -1235) 128337) ((-1206 . -1235) 128303) ((-1206 . -1238) 128269) ((-1206 . -95) 128235) ((-1206 . -35) 128201) ((-1200 . -1235) 128167) ((-1200 . -1238) 128133) ((-1191 . -321) NIL) ((-89 . -411) T) ((-89 . -410) T) ((-1111 . -1184) 128112) ((-40 . -1249) T) ((-1200 . -95) 128078) ((-1066 . -23) T) ((-1200 . -35) 128044) ((-585 . -507) T) ((-1158 . -35) 128010) ((-1158 . -95) 127976) ((-1158 . -1238) 127942) ((-1158 . -1235) 127908) ((-374 . -1144) T) ((-372 . -1184) 127887) ((-367 . -1184) 127866) ((-359 . -1184) 127845) ((-1135 . -298) 127801) ((-984 . -1249) T) ((-949 . -1249) T) ((-108 . -1184) T) ((-856 . -1089) 127780) ((-793 . -1249) T) ((-669 . -321) 127718) ((-651 . -321) 127569) ((-694 . -1249) T) ((-734 . -1081) T) ((-1094 . -660) 127551) ((-1111 . -38) 127419) ((-976 . -660) 127367) ((-1036 . -149) T) ((-1036 . -147) NIL) ((-391 . -1144) T) ((-336 . -25) T) ((-334 . -23) T) ((-973 . 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. |RecordCategory|) T) ((-1145 . -1089) 105366) ((-856 . -632) 105348) ((-1094 . -239) T) ((-594 . -951) T) ((-560 . -844) T) ((-560 . -951) T) ((-509 . -951) T) ((-137 . -1070) 105332) ((-229 . -95) T) ((-171 . -149) 105311) ((-76 . -455) T) ((0 . -632) 105293) ((-76 . -410) T) ((-171 . -147) 105244) ((-229 . -35) T) ((-49 . -632) 105226) ((-491 . -1089) T) ((-501 . -274) 105208) ((-501 . -234) 105190) ((-498 . -1000) 105174) ((-221 . -274) 105156) ((-221 . -234) 105138) ((-81 . -455) T) ((-81 . -410) T) ((-1178 . -34) T) ((-753 . -102) T) ((-677 . -668) 105097) ((-1058 . -632) 105064) ((-514 . -298) 105014) ((-326 . -390) 104983) ((-325 . -390) 104944) ((-325 . -351) 104905) ((-1117 . -632) 104887) ((-840 . -980) 104834) ((-674 . -133) T) ((-1268 . -147) 104813) ((-1268 . -149) 104792) ((-1207 . -102) T) ((-1206 . -102) T) ((-1200 . -102) T) ((-1192 . -1133) T) ((-1158 . -102) T) ((-1108 . -1249) T) ((-226 . -34) T) ((-301 . -739) 104779) ((-1289 . -1292) 104763) ((-1192 . -629) 104739) ((-607 . -321) NIL) ((-1289 . -1278) 104716) ((-1183 . -233) 104666) ((-498 . -1133) 104644) ((-452 . -1249) T) ((-404 . -632) 104626) ((-525 . -872) T) ((-1152 . -1249) T) ((-1280 . -1284) 104587) ((-1280 . -1278) 104557) ((-1280 . -1282) 104541) ((-1259 . -1263) 104502) ((-1259 . -1278) 104479) ((-1259 . -1261) 104463) ((-1207 . -296) 104429) ((-638 . -632) 104411) ((-1206 . -296) 104377) ((-721 . -951) T) ((-1200 . -296) 104343) ((-1158 . -296) 104309) ((-1152 . -912) 104291) ((-1111 . -1133) T) ((-1093 . -1133) T) ((-48 . -310) T) ((-326 . -928) 104257) ((-325 . -928) NIL) ((-1093 . -1100) 104236) ((-822 . -38) 104220) ((-275 . -660) 104168) ((-114 . -875) T) ((-255 . -660) 104116) ((-723 . -1088) 104103) ((-609 . -1278) 104080) ((-1152 . -1070) 104062) ((-331 . -175) 103993) ((-372 . -1133) T) ((-367 . -1133) T) ((-359 . -1133) T) ((-514 . -19) 103975) ((-1129 . -153) 103959) ((-896 . -239) NIL) ((-108 . -1133) T) ((-118 . -1088) 103946) ((-733 . -376) T) ((-514 . -618) 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. -47) 98835) ((-372 . -175) T) ((-367 . -175) T) ((-533 . -57) 98809) ((-511 . -57) 98759) ((-365 . -1318) 98736) ((-229 . -466) T) ((-331 . -302) 98687) ((-359 . -175) T) ((-177 . -250) T) ((-1264 . -872) 98586) ((-108 . -175) T) ((-897 . -1023) 98570) ((-676 . -1144) T) ((-595 . -376) T) ((-595 . -341) 98557) ((-532 . -341) 98534) ((-532 . -376) T) ((-326 . -319) 98513) ((-325 . -319) T) ((-616 . -872) 98492) ((-1145 . -739) 98434) ((-623 . -1249) T) ((-534 . -294) 98418) ((-676 . -23) T) ((-419 . -234) 98402) ((-419 . -274) 98386) ((-325 . -1052) NIL) ((-346 . -23) T) ((-103 . -1042) 98370) ((-657 . -381) T) ((-45 . -36) 98349) ((-630 . -1133) T) ((-365 . -381) T) ((-538 . -102) T) ((-509 . -27) T) ((-246 . -321) 98287) ((-1119 . -1144) T) ((-1323 . -670) 98261) ((-803 . -1144) T) ((-802 . -1144) T) ((-1211 . -426) 98245) ((-468 . -1144) T) ((-1094 . -466) T) ((-1185 . -1133) T) ((-976 . -466) 98196) ((-1148 . -1115) T) ((-110 . -1133) T) ((-1119 . -23) T) ((-1192 . -528) 97979) 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-298) 94585) ((-130 . -632) 94567) ((-51 . -632) 94549) ((-218 . -875) T) ((-677 . -426) 94533) ((-1259 . -102) T) ((-1191 . -528) NIL) ((-674 . -25) T) ((-638 . -1088) 94517) ((-674 . -21) T) ((-986 . -668) 94427) ((-757 . -668) 94372) ((-737 . -668) 94344) ((-404 . -111) 94323) ((-226 . -263) 94307) ((-1086 . -1085) 94247) ((-1086 . -1133) T) ((-1036 . -1184) T) ((-842 . -1133) T) ((-467 . -668) 94162) ((-652 . -670) 94146) ((-638 . -111) 94125) ((-620 . -670) 94109) ((-357 . -1254) T) ((-610 . -102) T) ((-324 . -504) 94090) ((-597 . -133) T) ((-609 . -102) T) ((-429 . -1133) T) ((-394 . -1133) T) ((-324 . -632) 94056) ((-231 . -1133) 94034) ((-669 . -528) 93967) ((-651 . -528) 93811) ((-856 . -1081) 93790) ((-663 . -153) 93774) ((-357 . -571) T) ((-734 . -928) 93717) ((-565 . -233) 93667) ((-1289 . -296) 93633) ((-1280 . -296) 93599) ((-1111 . -302) 93550) ((-560 . -875) T) ((-501 . -871) T) ((-227 . -1144) T) ((-1259 . -296) 93516) ((-1242 . -507) 93482) ((-1036 . -38) 93432) 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-1133) T) ((-394 . -739) 92202) ((-841 . -1133) T) ((-490 . -528) 92135) ((-477 . -528) 92068) ((-1325 . -635) 92049) ((-467 . -380) 92019) ((-45 . -629) 91998) ((-413 . -1249) T) ((-326 . -310) T) ((-1299 . -875) 91977) ((-852 . -239) 91956) ((-491 . -635) 91906) ((-1259 . -321) 91791) ((-692 . -632) 91753) ((-58 . -872) 91732) ((-1036 . -414) 91714) ((-563 . -632) 91696) ((-822 . -668) 91655) ((-839 . -618) 91632) ((-530 . -872) 91611) ((-510 . -872) 91590) ((-1028 . -1070) 91486) ((-40 . -1254) T) ((-246 . -930) 91355) ((-50 . -133) T) ((-595 . -133) T) ((-532 . -133) T) ((-305 . -670) 91215) ((-357 . -341) 91192) ((-357 . -376) T) ((-334 . -335) 91169) ((-331 . -298) 91127) ((-40 . -571) T) ((-391 . -1235) T) ((-391 . -1238) T) ((-1067 . -1226) 91102) ((-1221 . -242) 91052) ((-1200 . -234) 91004) ((-1200 . -274) 90956) ((-342 . -1133) T) ((-391 . -95) T) ((-391 . -35) T) ((-1067 . -107) 90902) ((-491 . -1081) T) ((-1324 . -1088) 90886) ((-493 . -242) 90836) ((-1192 . -503) 90770) 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. -102) T) ((-832 . -102) T) ((-108 . -1088) 70645) ((-791 . -102) T) ((-699 . -102) T) ((-115 . -875) T) ((-488 . -466) 70624) ((-419 . -175) T) ((-372 . -111) 70562) ((-367 . -111) 70500) ((-359 . -111) 70438) ((-260 . -274) 70407) ((-260 . -234) 70376) ((-259 . -274) 70345) ((-259 . -234) 70314) ((-353 . -23) T) ((-71 . -1249) T) ((-229 . -38) 70279) ((-108 . -111) 70213) ((-40 . -25) T) ((-40 . -21) T) ((-692 . -742) T) ((-171 . -296) 70191) ((-48 . -1144) T) ((-883 . -1249) T) ((-949 . -25) T) ((-793 . -25) T) ((-1324 . -670) 70165) ((-1183 . -503) 70102) ((-499 . -1133) T) ((-1315 . -668) 70061) ((-1268 . -102) T) ((-1094 . -1184) T) ((-880 . -102) T) ((-246 . -1089) 70039) ((-994 . -816) 69992) ((-994 . -821) 69945) ((-395 . -670) 69929) ((-48 . -23) T) ((-839 . -821) 69908) ((-839 . -816) 69887) ((-563 . -381) T) ((-307 . -618) 69866) ((-491 . -748) T) ((-585 . -102) T) ((-1111 . -635) 69684) ((-257 . -189) T) ((-186 . -189) T) ((-896 . -321) 69641) ((-677 . -298) 69620) ((-657 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. -503) 37528) ((-697 . -1249) T) ((-492 . -102) T) ((-252 . -102) 37458) ((-561 . -868) T) ((-140 . -102) T) ((-139 . -102) T) ((-135 . -102) T) ((-1119 . -922) 37353) ((-896 . -1133) T) ((-1203 . -528) 37300) ((-1094 . -739) 37287) ((-803 . -922) 37190) ((-753 . -1088) 37033) ((-802 . -922) 37015) ((-976 . -739) 36864) ((-1157 . -528) 36816) ((-1311 . -1133) T) ((-1310 . -1133) T) ((-468 . -922) 36791) ((-495 . -739) 36640) ((-67 . -632) 36622) ((-646 . -1249) T) ((-753 . -111) 36451) ((-973 . -503) 36435) ((-1312 . -670) 36395) ((-1207 . -1088) 36278) ((-841 . -748) T) ((-1206 . -1088) 36113) ((-1200 . -1088) 35903) ((-331 . -1249) T) ((-1158 . -1088) 35786) ((-1035 . -1254) T) ((-1121 . -102) 35764) ((-839 . -390) 35733) ((-593 . -632) 35715) ((-561 . -1133) T) ((-1035 . -571) T) ((-1207 . -111) 35584) ((-1206 . -111) 35405) ((-1200 . -111) 35174) ((-1158 . -111) 35043) ((-1137 . -1136) 35007) ((-391 . -871) T) ((-1289 . -632) 34989) ((-1280 . -632) 34971) ((-897 . -668) 34908) 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. -668) 25809) ((-255 . -668) 25719) ((-1315 . -397) 25691) ((-531 . -1133) T) ((-119 . -466) T) ((-1229 . -102) T) ((-1124 . -1133) 25661) ((-1066 . -1133) T) ((-1148 . -93) T) ((-919 . -872) T) ((-1289 . -111) 25530) ((-365 . -1254) T) ((-1289 . -1088) 25413) ((-1145 . -390) 25382) ((-1280 . -1088) 25217) ((-1259 . -1088) 25007) ((-1280 . -111) 24828) ((-1259 . -111) 24597) ((-1242 . -321) 24584) ((-1035 . -133) T) ((-936 . -668) 24534) ((-377 . -632) 24516) ((-365 . -571) T) ((-301 . -319) T) ((-610 . -1088) 24476) ((-609 . -1088) 24359) ((-595 . -1083) 24324) ((-532 . -1083) 24269) ((-374 . -1133) T) ((-334 . -1133) T) ((-260 . -632) 24230) ((-259 . -632) 24191) ((-595 . -662) 24156) ((-532 . -662) 24101) ((-716 . -424) 24068) ((-652 . -23) T) ((-620 . -23) T) ((-40 . -922) 23975) ((-676 . -102) T) ((-610 . -111) 23928) ((-609 . -111) 23797) ((-391 . -1133) T) ((-346 . -102) T) ((-171 . -302) 23708) ((-1264 . -871) 23661) ((-736 . -1089) T) ((-630 . -1249) T) ((-1180 . -528) 23594) 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-1083) 13245) ((-1158 . -748) T) ((-793 . -102) T) ((-694 . -102) T) ((-894 . -662) 13232) ((-561 . -632) 13214) ((-488 . -1133) T) ((-352 . -1144) T) ((-177 . -1144) T) ((-331 . -951) 13193) ((-1285 . -739) 13034) ((-897 . -175) T) ((-1264 . -739) 12848) ((-866 . -21) 12800) ((-866 . -25) 12752) ((-252 . -1182) 12736) ((-128 . -528) 12669) ((-421 . -25) T) ((-421 . -21) T) ((-352 . -23) T) ((-171 . -633) 12435) ((-171 . -632) 12417) ((-177 . -23) T) ((-663 . -300) 12394) ((-534 . -34) T) ((-636 . -684) T) ((-926 . -632) 12376) ((-89 . -1249) T) ((-865 . -632) 12358) ((-832 . -632) 12340) ((-791 . -632) 12322) ((-699 . -632) 12304) ((-246 . -670) 12137) ((-636 . -113) T) ((-1209 . -1133) T) ((-1203 . -1088) 11960) ((-217 . -1249) T) ((-1183 . -1249) T) ((-1157 . -1088) 11803) ((-879 . -1088) 11787) ((-1114 . -875) T) ((-1266 . -637) 11771) ((-1203 . -111) 11580) ((-1157 . -111) 11409) ((-879 . -111) 11388) ((-1257 . -872) T) ((-1268 . -633) NIL) ((-1268 . -632) 11370) ((-357 . -1184) 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-1133) T) ((-366 . -1133) T) ((-358 . -1133) T) ((-275 . -1133) T) ((-255 . -1133) T) ((-85 . -1249) T) ((-218 . -102) T) ((-129 . -102) 8788) ((-123 . -102) 8738) ((-1264 . -528) 8598) ((-1221 . -629) 8577) ((-1173 . -1133) T) ((-1148 . -635) 8558) ((-1111 . -951) 8509) ((-493 . -1133) T) ((-1036 . -818) T) ((-1036 . -814) T) ((-493 . -629) 8488) ((-260 . -821) 8467) ((-260 . -816) 8446) ((-259 . -821) 8425) ((-40 . -1184) NIL) ((-259 . -816) 8404) ((-1036 . -748) T) ((-131 . -19) 8386) ((-1003 . -818) T) ((-721 . -1083) 8351) ((-944 . -748) T) ((-936 . -1133) T) ((-916 . -632) 8333) ((-131 . -618) 8308) ((-721 . -662) 8273) ((-91 . -503) 8257) ((-501 . -928) NIL) ((-897 . -302) T) ((-229 . -1088) 8222) ((-858 . -298) 8201) ((-221 . -928) NIL) ((-856 . -1144) 8180) ((-58 . -1133) 8130) ((-533 . -1133) 8108) ((-530 . -1133) 8058) ((-511 . -1133) 8036) ((-510 . -1133) 7986) ((-594 . -102) T) ((-560 . -102) T) ((-509 . -102) T) ((-488 . -175) 7917) ((-372 . -951) T) ((-367 . -951) T) 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((-610 . -670) 4584) ((-609 . -670) 4509) ((-595 . -668) 4459) ((-229 . -1081) T) ((-532 . -668) 4389) ((-1094 . -635) 4361) ((-391 . -1034) T) ((-229 . -250) T) ((-229 . -240) T) ((-873 . -504) 4345) ((-1094 . -637) 4326) ((-988 . -633) 4287) ((-988 . -632) 4199) ((-976 . -635) 3988) ((-873 . -632) 3936) ((-894 . -38) 3923) ((-735 . -635) 3873) ((-1285 . -302) 3824) ((-1264 . -302) 3775) ((-495 . -635) 3560) ((-1152 . -466) T) ((-516 . -872) T) ((-326 . -1171) 3539) ((-1134 . -1249) T) ((-1028 . -149) 3518) ((-1028 . -147) 3497) ((-509 . -321) 3484) ((-1217 . -632) 3466) ((-307 . -1226) 3445) ((-1216 . -632) 3427) ((-1167 . -1249) T) ((-1215 . -632) 3409) ((-896 . -1088) 3354) ((-491 . -1144) T) ((-141 . -860) 3336) ((-115 . -860) 3317) ((-1236 . -503) 3301) ((-1094 . -1081) T) ((-642 . -102) T) ((-986 . -1249) T) ((-976 . -1081) T) ((-260 . -381) 3280) ((-259 . -381) 3259) ((-896 . -111) 3188) ((-307 . -107) 3138) ((-132 . -632) 3120) ((-131 . -633) NIL) ((-131 . -632) 3064) ((-119 . -102) T) ((-757 . -1249) T) ((-737 . -1249) T) ((-491 . -23) T) ((-467 . -1249) T) ((-495 . -1081) T) ((-1094 . -240) T) ((-976 . -338) 3033) ((-40 . -930) 2942) ((-495 . -338) 2899) ((-368 . -175) T) ((-366 . -175) T) ((-358 . -175) T) ((-275 . -175) 2810) ((-255 . -175) 2721) ((-986 . -1070) 2617) ((-531 . -504) 2598) ((-757 . -1070) 2569) ((-531 . -632) 2535) ((-419 . -1249) T) ((-1137 . -102) T) ((-1124 . -632) 2494) ((-1066 . -632) 2476) ((-716 . -1083) 2426) ((-1313 . -153) 2410) ((-1311 . -635) 2391) ((-1310 . -635) 2372) ((-1305 . -632) 2354) ((-1289 . -748) T) ((-716 . -662) 2304) ((-1280 . -748) T) ((-1259 . -814) NIL) ((-1259 . -818) NIL) ((-171 . -1088) 2214) ((-936 . -175) T) ((-896 . -635) 2144) ((-1259 . -748) T) ((-1035 . -355) 2118) ((-227 . -668) 2070) ((-1032 . -528) 2003) ((-866 . -872) 1982) ((-560 . -1184) T) ((-488 . -302) 1933) ((-610 . -748) T) ((-374 . -632) 1915) ((-334 . -632) 1897) ((-419 . -1070) 1793) ((-609 . -748) T) ((-421 . -872) 1744) ((-171 . -111) 1640) ((-856 . -133) 1592) ((-1299 . -321) 1530) ((-758 . -153) 1514) ((-994 . -875) 1413) ((-839 . -875) 1364) ((-501 . -319) T) ((-391 . -632) 1331) ((-534 . -1042) 1315) ((-391 . -633) 1229) ((-221 . -319) T) ((-143 . -153) 1211) ((-736 . -298) 1190) ((-501 . -1052) T) ((-594 . -38) 1177) ((-560 . -38) 1164) ((-509 . -38) 1129) ((-661 . -668) 1098) ((-221 . -1052) T) ((-896 . -1081) T) ((-858 . -632) 1080) ((-852 . -632) 1062) ((-849 . -632) 1044) ((-840 . -940) 1023) ((-1324 . -1144) T) ((-323 . -1249) T) ((-1268 . -1088) 846) ((-880 . -1088) 830) ((-896 . -250) T) ((-896 . -240) NIL) ((-711 . -1249) T) ((-1324 . -23) T) ((-840 . -670) 719) ((-565 . -1249) T) ((-419 . -351) 703) ((-585 . -1088) 690) ((-1268 . -111) 499) ((-723 . -660) 481) ((-880 . -111) 460) ((-395 . -23) T) ((-171 . -635) 238) ((-1221 . -528) 30) ((-901 . -1133) T) ((-703 . -1133) T) ((-698 . -1133) T) ((-674 . -1133) T))
\ No newline at end of file diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index c4ee603e..203891f5 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3509634647) +(30 . 3509748550) (4513 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -489,677 +489,675 @@ |XPolynomialsCat| |XPolynomialRing| |XRecursivePolynomial| |YoungDiagram| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| - |Enumeration| |Mapping| |Record| |Union| |digit?| |chebyshevT| - |ODESolve| |torsion?| |car| |lowerPolynomial| |critB| - |selectPolynomials| |binarySearchTree| |clearTheFTable| - |stopTableInvSet!| |rightCharacteristicPolynomial| |rightLcm| - |explogs2trigs| |polCase| |subNode?| |jvmMethodrefConstantTag| - |reopen!| |gensym| |perspective| |plenaryPower| |asinIfCan| - |externalList| |setright!| |isAtom| |OMputString| |aLinear| |edf2fi| - |map| |previous| |sub| |alphanumeric| |removeSquaresIfCan| |isTimes| - |jordanAdmissible?| |s19abf| |fortranLinkerArgs| |equiv| |rank| - |vedf2vef| |cAsec| |parent| |clipBoolean| |someBasis| |imagk| |merge!| - |lazyIntegrate| |cyclicSubmodule| |reduced?| |nextsousResultant2| - |sec2cos| |createPrimitivePoly| |OMgetEndApp| |physicalLength!| - |cyclicEqual?| |newline| |linear| |primintfldpoly| |sturmVariationsOf| - |Ci| |OMReadError?| |stFunc2| |octon| |Nul| |unvectorise| - |discriminant| |isEquiv| |graphs| |ratDenom| |upperBound| |edf2df| - |point| |var2StepsDefault| |perfectNthRoot| |nthRootIfCan| |symbol?| - |polynomial| |irVar| |move| |cothIfCan| |stoseLastSubResultant| - |jokerMode| |cdr| |changeBase| |axes| |recip| |bringDown| SEGMENT - |ode2| |particularSolution| |cycleEntry| |e01bhf| |node| |linefeed| - |nextIrreduciblePoly| |noKaratsuba| |rules| |low| |mapDown!| |iisqrt2| - |before?| |invertibleElseSplit?| |reify| |series| |arbitrary| - |leftTraceMatrix| |twist| |clearTheSymbolTable| |update| - |completeHensel| |palgLODE| |lists| |sup| |sinhIfCan| |iomode| - |conical| |compBound| |roughBase?| |ParCondList| |youngGroup| - |oddInfiniteProduct| |leaves| |rowEchelon| |generalTwoFactor| - |colorDef| |setMinPoints| |standardBasisOfCyclicSubmodule| - |rightTraceMatrix| |jvmStatic| |string?| |setAttributeButtonStep| - |skewSFunction| |moebius| |constantIfCan| |prem| |discreteLog| |space| - |mainSquareFreePart| |setrest!| |partialDenominators| |biRank| - |heapSort| |preprocess| |torsionIfCan| |rewriteSetWithReduction| - |tube| |min| |nextItem| |decreasePrecision| |leftReducedSystem| - |viewport2D| |separant| |createLowComplexityNormalBasis| - |perfectNthPower?| |iicsc| |eigenvector| |selectFiniteRoutines| - |summation| |readInt32!| |quasiRegular| |completeEval| |mantissa| - |idealiserMatrix| |normalize| |outputAsScript| |vark| |tanintegrate| - |rootOf| EQ |rubiksGroup| |simplifyPower| |ref| |nonQsign| - |limitedIntegrate| |c05adf| |integralLastSubResultant| |e02ahf| - |stripCommentsAndBlanks| |topFortranOutputStack| |factorAndSplit| - |rationalPoints| |closed?| |simplify| |subscriptedVariables| |fill!| - |c06ekf| |mirror| |zeroDimensional?| |property| |iisqrt3| |subMatrix| - |heap| |mapExponents| |axesColorDefault| |alphabetic?| |select!| - |semiDegreeSubResultantEuclidean| |randomR| |readUInt32!| |s17ahf| - |delete!| |genericLeftTrace| |coth2tanh| |partialQuotients| |edf2ef| - |leftFactor| |palgint0| |leftRegularRepresentation| |LyndonWordsList1| - |scaleRoots| |conjug| |makeSUP| |pair?| |cot2tan| |any?| - |possiblyInfinite?| |genericLeftNorm| |chebyshevU| |schema| - |basisOfNucleus| |components| |complexLimit| |yCoord| |mesh?| - |measure2Result| |equation| |recolor| |expint| |roughEqualIdeals?| - |f02akf| |removeRoughlyRedundantFactorsInPols| |Si| |d03edf| |f02axf| - |changeWeightLevel| |f04jgf| |topPredicate| |magnitude| - |primaryDecomp| |numeric| |constant| |jvmLongConstantTag| - |ScanFloatIgnoreSpaces| |cylindrical| |point?| |iitan| |var1Steps| - |sayLength| |generalizedEigenvectors| |derivationCoordinates| - |plusInfinity| |cAcsch| |radical| |nullity| |showAllElements| - |polynomialZeros| |trailingCoefficient| |moebiusMu| |squareFreePrim| - |d02cjf| |OMsetEncoding| |leftExtendedGcd| |minusInfinity| - |numberOfDivisors| |operation| |BasicMethod| |mainExpression| - |leftLcm| |superscript| |rootsOf| |resetAttributeButtons| |readByte!| - |dec| |initTable!| |trigs2explogs| |debug| |rk4| |baseRDEsys| - |functionIsOscillatory| |s17acf| |f04atf| |curryRight| |bitLength| - |B1solve| |csc2sin| D |depth| |elem?| |prefixRagits| |range| - |setIntersection| |dimensionsOf| |arrayStack| |pointColorPalette| - |makeprod| |composites| |atom?| |patternMatch| |simplifyLog| |bitCoef| - |qinterval| |lfunc| |monomialIntPoly| |getStream| - |normalizedAssociate| |conjugates| |GospersMethod| |hessian| - |algebraic?| |updatF| |cos2sec| |palglimint| |type| |s14baf| - |removeCosSq| |countRealRootsMultiple| |resize| |constantKernel| - |parents| |physicalLength| |FormatRoman| |s17aff| |negative?| - |semicolonSeparate| |leadingIndex| |fixedPoint| |getGoodPrime| - |c06ebf| |OMgetBind| |powers| |normalizeAtInfinity| |OMgetApp| - |getOperands| |subHeight| |reorder| |resultantEuclidean| |triangSolve| - |pomopo!| |closedCurve| |matrixDimensions| |ode| |ramifiedAtInfinity?| - |close| |isOpen?| |zeroMatrix| |OMread| |deepestInitial| - |removeSuperfluousCases| |coHeight| |hexDigit| |startPolynomial| - |OMputFloat| |innerEigenvectors| |fortranCharacter| |consnewpol| - |defineProperty| |bipolar| |sizeMultiplication| |partition| |declare| - |conditionP| |c06gcf| |display| |cotIfCan| |btwFact| - |stosePrepareSubResAlgo| |maximumExponent| |palgextint| - |numericalIntegration| |dihedral| |supDimElseRittWu?| |lighting| - |acotIfCan| |sPol| |mapGen| |OMgetObject| |print| |nthFlag| - |rightFactorCandidate| |solveid| |numberOfComposites| |schwerpunkt| - |basisOfRightAnnihilator| |leftMult| |positiveRemainder| |resolve| - |lexGroebner| |minimumDegree| |f2st| |singularAtInfinity?| |belong?| - |binaryFunction| |basisOfCenter| |functionIsContinuousAtEndPoints| - |rotate| |quadraticNorm| |scalarMatrix| |unitCanonical| - |algebraicVariables| |sinhcosh| |froot| |tanhIfCan| |univariateSolve| - |removeRoughlyRedundantFactorsInPol| |readInt8!| |monomial?| |df2fi| - |variationOfParameters| |input| |fixedPointExquo| - |structuralConstants| |lfintegrate| |separate| |limitPlus| |hermite| - |minimumExponent| |polygamma| |branchPoint?| |library| |redPo| - |OMgetEndAttr| |leftDivide| |patternVariable| |extension| - |leastMonomial| |monicCompleteDecompose| |log| |cAsinh| |upperCase| - |c06frf| |viewThetaDefault| |jvmInterfaceMethodConstantTag| - |OMencodingXML| |region| |addBadValue| |powerAssociative?| |child?| - |localUnquote| |key?| |iiabs| |parabolicCylindrical| - |discriminantEuclidean| |getlo| |tan2trig| |infix| |li| - |internalInfRittWu?| |prime?| |exptMod| |members| |difference| |iilog| - |phiCoord| |orbit| |fillPascalTriangle| |roughSubIdeal?| |rightMult| - |internalAugment| |applyRules| |toseLastSubResultant| |number?| - |OMsupportsSymbol?| |width| |primPartElseUnitCanonical| - |clearFortranOutputStack| |numberOfVariables| |direction| - |extendedIntegrate| |evenlambert| |inspect| |finiteBasis| - |pushFortranOutputStack| |mappingAst| |c02agf| |writeLine!| - |functionIsFracPolynomial?| |writeByte!| |bezoutDiscriminant| - |antiAssociative?| |nthFactor| |outputMeasure| |popFortranOutputStack| - |fractionFreeGauss!| |f02ajf| |curveColor| |rootPower| |prologue| - |compound?| |expintfldpoly| |fractRagits| |outputAsFortran| - |localIntegralBasis| |anfactor| |f01qdf| |revert| |s17dlf| - |youngDiagram| |integralAtInfinity?| |chineseRemainder| |primes| - |transcendentalDecompose| |lintgcd| |rootKerSimp| |taylorQuoByVar| - |quasiMonicPolynomials| |maxdeg| |homogeneous?| - |semiResultantEuclidean2| |elementary| |scale| |bright| |unmakeSUP| - |jvmIntegerConstantTag| |s13adf| |inputOutputBinaryFile| |chiSquare1| - |pointColor| |complexIntegrate| |optional| |sylvesterSequence| |super| - |mainKernel| |d01amf| |mapmult| |over| |second| |debug3D| |e02dff| - |rewriteIdealWithQuasiMonicGenerators| |intensity| |zeroDimPrime?| - |cSinh| |solveLinearPolynomialEquation| |hasSolution?| |third| - |squareFreePolynomial| |brillhartIrreducible?| |quadratic?| |f2df| - |jvmFloatConstantTag| |plus!| |linSolve| |atanIfCan| |show| |e04gcf| - |combineFeatureCompatibility| |minPol| |s17dcf| |c05nbf| |e04fdf| - |ignore?| |wronskianMatrix| |complexZeros| |repeatUntilLoop| |split!| - |getSyntaxFormsFromFile| |units| |insertMatch| |setfirst!| |leftZero| - |integral| |inverse| |d01apf| |musserTrials| |OMcloseConn| - |createNormalPrimitivePoly| |top!| |SturmHabichtSequence| - |symbolIfCan| |besselJ| |iiexp| |interpretString| |seriesToOutputForm| - |nthr| |alternative?| |exprHasWeightCosWXorSinWX| |read!| - |normalElement| |init| |prefix| |cyclicCopy| |remove| |readBytes!| - |setAdaptive3D| |factorSquareFree| |interpolate| |vector| |adaptive| - |entry| |label| |reduceLODE| |returnTypeOf| |leftDiscriminant| - |mathieu12| |useSingleFactorBound| |neglist| |swapRows!| - |removeCoshSq| |differentiate| |pushdown| |deleteProperty!| - |splitLinear| |isNot| |determinant| |last| |parabolic| |insert!| - |ratpart| |quatern| |inverseIntegralMatrixAtInfinity| |assoc| - |doubleComplex?| |nativeModuleExtension| |headRemainder| - |setVariableOrder| |addPoint| |expr| |pdf2df| |asechIfCan| |Beta| - |subResultantGcd| |complex?| |element?| |coerceP| |frst| |sign| - |mainContent| |OMserve| |lowerBound| |elseBranch| |ddFact| |overlabel| - |f02awf| |symmetric?| |find| |shape| |multiset| |lllp| |enumerate| - |rightOne| |d02gaf| |showTheIFTable| |paren| |screenResolution3D| - |LyndonWordsList| |iicoth| |integralBasis| |loadNativeModule| - |outlineRender| |level| |cyclicEntries| |initials| - |possiblyNewVariety?| |trigs| |nextPrimitivePoly| |variable| - |restorePrecision| |ldf2vmf| |att2Result| |expenseOfEvaluation| - |cyclotomicDecomposition| |option| |algSplitSimple| - |linearDependenceOverZ| |selectsecond| |printInfo| |palginfieldint| - |iterators| |derivative| |constantLeft| |s17dgf| |predicate| - |listOfMonoms| |quickSort| |open?| |log2| |fractRadix| |critBonD| - |cyclic| |genericRightMinimalPolynomial| |Gamma| |critpOrder| |top| - |setColumn!| |iicosh| |doublyTransitive?| |PollardSmallFactor| - |factors| |rem| |symbol| |e04naf| |assign| |reduceByQuasiMonic| - |d01gbf| |continue| |nilFactor| |nextPartition| |basisOfRightNucloid| - |generalSqFr| |ratDsolve| |quo| |expression| |diag| |UnVectorise| - |setOrder| |delete| |dominantTerm| |dfRange| |enqueue!| |getBadValues| - |pToHdmp| |messagePrint| |integer| |rk4qc| |e04jaf| |OMgetEndBVar| - |d02gbf| |leftPower| |denomLODE| |basisOfCommutingElements| - |upperCase?| |f02wef| |div| |univariatePolynomials| |makeVariable| - |inRadical?| |karatsuba| |nextPrime| |karatsubaDivide| |regime| - |definingInequation| |d02raf| |exquo| |numerators| |jvmStrict| |rur| - |routines| |tanSum| |scan| |associatedSystem| |diagonal| - |selectODEIVPRoutines| ~= |nthExponent| |singular?| - |useSingleFactorBound?| |maxrow| |palgextint0| |contours| |complement| - |s18acf| |internalIntegrate| |#| |identityMatrix| |specialTrigs| - |insertionSort!| |identitySquareMatrix| BY |realElementary| |ldf2lst| - |generalLambert| |cn| |inverseColeman| |generalizedInverse| ~ |comp| - |unary?| |safetyMargin| |ScanFloatIgnoreSpacesIfCan| - |addMatchRestricted| |leadingTerm| |symmetricProduct| |janko2| - |critMonD1| |green| |hdmpToP| |elaborateFile| |postfix| |dimensions| - |normalized?| |underscore| |kovacic| |quasiMonic?| |swap!| - |OMgetError| |representationType| |pushNewContour| |curveColorPalette| - |dihedralGroup| |jvmNative| |mergeFactors| |expintegrate| - |atrapezoidal| |kmax| |initializeGroupForWordProblem| - |primPartElseUnitCanonical!| |/\\| |splitSquarefree| |conjugate| - |quasiComponent| |laguerreL| |pattern| |npcoef| |printingInfo?| - |UP2ifCan| |digamma| |infinite?| |showSummary| |\\/| - |lastSubResultantEuclidean| |more?| |positiveSolve| |startTable!| - |getButtonValue| |OMopenFile| |submod| |radicalEigenvectors| - |selectPDERoutines| |besselK| |weight| |LyndonCoordinates| - |rightDivide| |changeNameToObjf| |sincos| |acschIfCan| - |createThreeSpace| |ef2edf| NOT |showAttributes| |leftRankPolynomial| - |dAndcExp| |merge| |changeVar| |gcdprim| |monicModulo| |Vectorise| - |internal?| OR |rightFactorIfCan| |showTheFTable| |goodPoint| |f04arf| - |ListOfTerms| |semiLastSubResultantEuclidean| |nodes| |OMputEndBVar| - |mathieu23| |setRealSteps| AND |true| |sech2cosh| |concat| - |jvmStringConstantTag| |compactFraction| |part?| |sqfrFactor| |e04mbf| - |replaceKthElement| |inconsistent?| |idealSimplify| |dualSignature| - |e02aef| |noncommutativeJordanAlgebra?| |supRittWu?| |llprop| - |linearAssociatedOrder| |antiCommutative?| |sequences| |outputForm| - |function| |terms| |OMputApp| |scripted?| |swap| - |semiSubResultantGcdEuclidean1| |gethi| |leftCharacteristicPolynomial| - |gradient| |mainVariable?| |sizePascalTriangle| |decomposeFunc| - |lfextlimint| |drawComplex| |fortranLogical| |f04faf| - |selectOrPolynomials| |exprHasAlgebraicWeight| |mainCoefficients| - |cCot| |fixedDivisor| |raisePolynomial| |in?| |elliptic?| |mapExpon| - |evenInfiniteProduct| |operators| |open| |setFieldInfo| |opeval| - |deepCopy| |isConnected?| |bat| |interactiveEnv| |arity| - |numberOfPrimitivePoly| |processTemplate| |omError| |parts| - |backspace| |isExpt| |isPower| |set| |rationalPower| |OMsend| - |oddintegers| |explicitEntries?| |clearCache| |OMgetFloat| |pr2dmp| - |showTheRoutinesTable| |argumentList!| |noLinearFactor?| |setlast!| - |writeUInt8!| |subspace| |uncouplingMatrices| - |exprHasLogarithmicWeights| |createNormalPoly| - |indiceSubResultantEuclidean| |SturmHabicht| |twoFactor| - |jvmClassConstantTag| |d01asf| |s18def| |prepareDecompose| |pop!| - |operations| |quotedOperators| |clikeUniv| |permutation| |thetaCoord| - |maxPoints| * |contract| |crest| |numberOfFractionalTerms| |showAll?| - |s13acf| |rootSplit| |iiasin| |cPower| |isImplies| |cscIfCan| - |palgLODE0| |hex| |e04ucf| |diagonals| |position!| |padicallyExpand| - |innerint| |countRealRoots| |incrementKthElement| |datalist| |nsqfree| - |generalInfiniteProduct| |rightNorm| |balancedFactorisation| - |createIrreduciblePoly| |title| |solveInField| |generators| - |binaryTournament| |d01anf| |target| = |numberOfHues| |getRef| - |makeSeries| |convert| |littleEndian| |fTable| |isList| |lcm| - |unexpand| |readUInt8!| |basisOfRightNucleus| |freeOf?| |delay| - |nonSingularModel| |ipow| |closed| |aCubic| |nextPrimitiveNormalPoly| - |numer| |scanOneDimSubspaces| |c02aff| < |weakBiRank| |sumSquares| - |cAcos| |null| |algintegrate| |append| |e01bff| |denom| - |halfExtendedSubResultantGcd2| |OMputVariable| > - |createMultiplicationTable| |mkAnswer| |leftExactQuotient| |not| - |tubePoints| |coerceListOfPairs| |insertTop!| |irDef| |gcd| |xCoord| - |totalLex| <= |selectSumOfSquaresRoutines| |outputAsTex| |bag| - |diagonalProduct| |iFTable| |and| |macroExpand| |one?| |trueEqual| - |false| |bumprow| |pi| |viewport3D| |sortConstraints| >= - |genericRightDiscriminant| |nthRoot| |rootSimp| |exprToUPS| |or| - |fprindINFO| |coerce| |leftUnit| |infinity| |collect| - |isAbsolutelyIrreducible?| |f02aaf| |divergence| |iipow| |moduloP| - |LiePoly| |xor| |construct| |lambert| |getProperty| |LiePolyIfCan| - |normal01| |generalizedContinuumHypothesisAssumed?| |setPosition| - |binomial| |sparsityIF| |minset| |factorset| |minRowIndex| |case| - |tracePowMod| |rischNormalize| |principal?| |minus!| |optional?| - |hypergeometric0F1| |powern| |degreeSubResultantEuclidean| + - |clearDenominator| |selectNonFiniteRoutines| |traverse| |mindegTerm| - |Zero| |constDsolve| |setchildren!| |kernel| - |zeroSetSplitIntoTriangularSystems| |surface| |epilogue| - |integerBound| |putColorInfo| |fracPart| - |powmod| |removeSinhSq| - |OMgetAttr| |sort| |One| |vspace| |subresultantSequence| |safeCeiling| - |reverse!| |rightRegularRepresentation| / |universe| |buildSyntax| - |medialSet| |mapUp!| |adaptive3D?| |singularitiesOf| |exponential| - |f01mcf| |normInvertible?| |hexDigit?| |hyperelliptic| |getCurve| - |currentEnv| |numberOfNormalPoly| |random| |listBranches| |nullSpace| - |zeroVector| |divide| |setLength!| |shiftLeft| |psolve| - |drawComplexVectorField| |setvalue!| |sinh2csch| - |fortranCarriageReturn| |untab| |roman| |viewSizeDefault| |charClass| - |seriesSolve| |showTheSymbolTable| |cAtanh| |jvmDoubleConstantTag| - |generator| |cAcosh| |f02fjf| |ffactor| |drawStyle| - |numberOfIrreduciblePoly| |zero| |rowEchLocal| |karatsubaOnce| - |BumInSepFFE| |constantCoefficientRicDE| |graphStates| |iiacot| |elt| - |thenBranch| |resetVariableOrder| |charpol| |vconcat| |environment| - |s17aef| |extend| |createLowComplexityTable| |constantOpIfCan| - |copies| |e01sbf| |condition| |iicsch| |coefChoose| |algebraicSort| - |prinb| |LowTriBddDenomInv| |And| |laurentIfCan| |variable?| - |singleFactorBound| |lineColorDefault| |OMputAttr| - |semiIndiceSubResultantEuclidean| |associates?| |partitions| - |equality| |iiGamma| |dequeue!| |lazyPquo| |coerceS| |Or| |tower| - |match?| |lowerCase| |leftScalarTimes!| |Lazard2| |cExp| |integral?| - |s20adf| |rootOfIrreduciblePoly| |OMmakeConn| - |jvmNameAndTypeConstantTag| |listYoungTableaus| |abelianGroup| |Not| - |branchIfCan| |e02agf| |interReduce| |d01fcf| |flexibleArray| |c06gqf| - |outputSpacing| |jvmFinal| |pmComplexintegrate| |mix| |create| - 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|elaboration| |makeTerm| |interpret| |showScalarValues| |digits| - |extractPoint| |matrixGcd| |even?| |jvmSynchronized| - |symmetricTensors| |HermiteIntegrate| |screenResolution| - |swapColumns!| |cschIfCan| |factorSquareFreePolynomial| - |leftFactorIfCan| |repSq| |monicDecomposeIfCan| |cCos| - |lastSubResultant| |jordanAlgebra?| |palglimint0| |member?| - |Frobenius| |shellSort| |nextSubsetGray| |irreducible?| |leftUnits| - |minIndex| |listOfLists| |int| |showRegion| |dmpToP| |code| |reseed| - |linearPart| |tanh2trigh| |setref| |algebraicDecompose| - |setProperties| |leftMinimalPolynomial| |hMonic| |poisson| - |cyclotomic| |cosh2sech| |HenselLift| |clipParametric| |finite?| - |basicSet| |isMult| |useEisensteinCriterion| |basisOfLeftAnnihilator| - |deepExpand| |pascalTriangle| |radicalEigenvector| |f01rdf| - |OMputError| |putGraph| |computePowers| |categoryMode| |light| - |multMonom| |expt| |reindex| |highCommonTerms| |getZechTable| - |unaryFunction| |rightRemainder| F |extract!| |port| - |listConjugateBases| |allRootsOf| |stoseInvertible?sqfreg| - |putProperties| |gderiv| |setPoly| |remove!| |entries| - |currentSubProgram| |resetBadValues| |dflist| |permutationGroup| - |exprToGenUPS| |cycles| |checkPrecision| |firstDenom| - |squareFreeLexTriangular| |aromberg| |fortranLiteralLine| - |expressIdealMember| |degree| |iprint| |wrregime| |search| - |initiallyReduced?| |groebSolve| |subscript| |makeMulti| |subSet| - |lagrange| |mindeg| |unprotectedRemoveRedundantFactors| |t| - |rectangularMatrix| |fibonacci| |stopTableGcd!| |iibinom| - |squareFreeFactors| |sort!| |semiSubResultantGcdEuclidean2| |hermiteH| - |hostPlatform| |enterPointData| |doubleFloatFormat| |commutative?| - |leadingIdeal| |clearTable!| |carriageReturn| |invmod| |goto| - |idealiser| |withPredicates| |bottom!| |f04maf| |droot| - |resultantReduit| |byteBuffer| |s21bdf| |complexRoots| |order| - |createPrimitiveElement| |sqfree| |addPointLast| |OMgetEndAtp| |imagI| - |shrinkable| ** |symbolTableOf| |critM| |setStatus!| - |ellipticCylindrical| |fullPartialFraction| |inverseIntegralMatrix| - |entry?| |numFunEvals| |certainlySubVariety?| |list?| |readUInt16!| - |lieAlgebra?| |e01sef| |unknown| |writeInt8!| |lazy?| - |normalizedDivide| |maxRowIndex| |exactQuotient!| |subCase?| - |taylorIfCan| |associator| |coefficients| |unravel| |tanIfCan| - |scalarTypeOf| |mainVariable| |cosSinInfo| |multisect| - |linearDependence| |getPickedPoints| |solid| - |characteristicPolynomial| |nullary?| |relerror| |mapUnivariateIfCan| - |reducedSystem| |stoseInvertibleSetsqfreg| |tubeRadiusDefault| - |readable?| |mapUnivariate| |normalForm| |cond| |uniform01| |implies| - |collectUnder| |associatorDependence| |solveRetract| |bits| - |unrankImproperPartitions0| |index?| |antisymmetricTensors| - |normalizeIfCan| |systemCommand| |distance| |cCsch| |child| |decrease| - |lookup| |factorOfDegree| |imagE| |primitive?| |listexp| - |multiplyExponents| |basisOfMiddleNucleus| |makeCos| |lazyGintegrate| - |extractTop!| |edf2efi| |addmod| |LazardQuotient2| |elliptic| - |pmintegrate| |iroot| |normal| |printStatement| |jvmTransient| - |integrate| |tableForDiscreteLogarithm| |An| |cap| |eulerPhi| - |decompose| |complexElementary| |ideal| |nothing| |satisfy?| |rule| - |palgRDE0| |leftGcd| |leadingSupport| |e02bcf| |dequeue| |sin2csc| - |box| |semiResultantReduitEuclidean| |intersect| |fortranDouble| - |escape| |convergents| |sequence| |Ei| |iisec| |minordet| - |attributeData| |qroot| |d01bbf| |badValues| |cyclicParents| - |categories| |f02adf| |composite| |setOfMinN| |addiag| |writable?| - |round| |distribute| |prindINFO| |mainForm| |extractIndex| - |complexEigenvectors| |factorsOfCyclicGroupSize| |polygon| - |continuedFraction| |internalDecompose| |trapezoidal| |setEpilogue!| - |leftAlternative?| |d01gaf| |dark| |selectIntegrationRoutines| - |remainder| |degreeSubResultant| |f02bjf| |algebraicCoefficients?| - |iisin| |companionBlocks| |dictionary| |linearForm| |rootPoly| |sh| - |makeEq| |subresultantVector| |jvmProtected| |autoReduced?| |s17agf| - |deepestTail| |substring?| |doubleRank| |mulmod| |binding| - |cyclePartition| |setMaxPoints| |balancedBinaryTree| |rightRecip| |po| - |aQuartic| |besselI| |numberOfMonomials| |contractSolve| |s18aef| - |s21bcf| |printInfo!| |rightPower| |beauzamyBound| |duplicates| - |critMTonD1| |jacobi| |suffix?| |category| |removeConstantTerm| - |removeRedundantFactorsInContents| |anticoord| |recoverAfterFail| - |usingTable?| |endSubProgram| |quadraticForm| |sample| |jvmInterface| - |denominator| |reducedForm| |domain| |nextsubResultant2| |tRange| - |SturmHabichtCoefficients| |unit| |leader| |subResultantsChain| - |iiasec| |Lazard| |gcdcofactprim| |closedCurve?| |prefix?| |package| - |groebner| |ricDsolve| |sumOfSquares| |characteristicSet| |mdeg| - |basis| |curve| |real?| |clip| |numberOfOperations| |rightExtendedGcd| - |latex| |numberOfFactors| |c06gsf| |computeCycleLength| - |showIntensityFunctions| |inR?| |OMgetVariable| |assert| |shufflein| - |split| |outputFixed| |monicRightDivide| |f04axf| |csubst| - |commutator| |s17akf| |readLineIfCan!| |comparison| |eyeDistance| - |OMsupportsCD?| |weighted| |fullDisplay| |support| |jacobiIdentity?| - |largest| |internalIntegrate0| |pointColorDefault| |var2Steps| - |monomials| |leastPower| |nextColeman| |cAcsc| |principalIdeal| |host| - |fortranDoubleComplex| |nonLinearPart| |Is| |findConstructor| - |noValueMode| |sum| |connectTo| |modulus| |ramified?| |isOp| - |iterationVar| |groebgen| |realEigenvalues| |OMlistCDs| |retractable?| - |rename!| |infix?| |e01bef| |front| |pushup| |coercePreimagesImages| - |numberOfComponents| |zeroDim?| |cTan| |mask| |se2rfi| |d02bhf| - |makeCrit| |monicRightFactorIfCan| |product| |intPatternMatch| - |alternatingGroup| |OMUnknownCD?| |tab| |exactQuotient| |floor| - |distFact| |pile| |varList| |hclf| |stoseInvertibleSet| |symbolTable| - |unitsColorDefault| |hasoln| |qualifier| |leadingExponent| |comment| - |monomRDEsys| |reverseLex| |zeroSetSplit| |gramschmidt| - |createNormalElement| |integralMatrix| |expandPower| |iiasech| |cCosh| - |lyndonIfCan| |e| |children| |symFunc| |sizeLess?| |rst| |makeSketch| - |setnext!| |primitiveElement| |e02bef| |knownInfBasis| |wreath| |dn| - |sinIfCan| |eq?| |putProperty| |c05pbf| |reset| |OMputObject| - |radicalSimplify| |returnType!| |encodingDirectory| |characteristic| - |subst| |lazyVariations| |iitanh| |unrankImproperPartitions1| - |perfectSquare?| |jvmPublic| |verticalTab| |OMgetEndBind| |digit| - |monic?| |laguerre| |mapSolve| |unitNormal| |iiacoth| |write| - |setUnion| |rootRadius| |euler| |say| |copyInto!| |viewZoomDefault| - |prevPrime| |relativeApprox| |union| |localAbs| |integerIfCan| - |meshFun2Var| |save| |rationalIfCan| |uniform| |outputArgs| - |coefficient| |df2st| |inc| |exp| |triangulate| |invertIfCan| - |OMputEndBind| |expIfCan| |newSubProgram| |outputFloating| |arg1| - |linears| |taylorRep| LODO2FUN |f07fef| |objects| |bytes| |cCoth| - |setProperty| |arg2| |e02ddf| |createGenericMatrix| |c06fuf| - |radicalEigenvalues| |countable?| |base| |iicot| |realRoots| - |mkIntegral| |rightMinimalPolynomial| |adjoint| |makeop| |mathieu24| - |cycleTail| |clipPointsDefault| |transcendenceDegree| |lflimitedint| - |has?| |cAcot| |conditions| |cache| |simplifyExp| |drawCurves| - |denominators| |bitTruth| |symmetricGroup| |exponents| |OMwrite| - |match| |e02akf| |f02bbf| |maxint| |shift| |iCompose| |graphCurves| - |linearPolynomials| |center| |call| |gbasis| |simpsono| |parametric?| - |toseInvertibleSet| |pointPlot| |mat| |e02def| |orthonormalBasis| - |fortranInteger| |resultant| |callForm?| |getCode| |complete| - |squareTop| |numberOfChildren| |basisOfLeftNucloid| |iicos| - |absolutelyIrreducible?| |formfeed| |lprop| |getOperator| |zeroOf| - |indiceSubResultant| |probablyZeroDim?| |s17ajf| |setValue!| - |tryFunctionalDecomposition?| |refine| |fortranReal| - |mainCharacterization| |readInt16!| |closeComponent| |e02bdf| - |inrootof| |typeForm| |leftNorm| - |solveLinearPolynomialEquationByRecursion| |lazyResidueClass| - |completeEchelonBasis| |s18adf| |size| |rightUnit| |removeDuplicates!| - |is?| |realEigenvectors| |nil| |infinite| |arbitraryExponent| - |approximate| |complex| |shallowMutable| |canonical| |noetherian| - |central| |partiallyOrderedSet| |arbitraryPrecision| - |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| - |additiveValuation| |unitsKnown| |canonicalUnitNormal| - |multiplicativeValuation| |finiteAggregate| |shallowlyMutable| - |commutative|)
\ No newline at end of file + |Enumeration| |Mapping| |Record| |Union| |f02xef| |split!| + |curveColor| |expPot| |lazyPrem| |totalDegree| |cotIfCan| |aCubic| + |wronskianMatrix| |createLowComplexityTable| |nextIrreduciblePoly| + |critB| |colorDef| |showAll?| |dot| |leftTraceMatrix| |rischDEsys| + |d01bbf| |exponential1| |possiblyInfinite?| + |combineFeatureCompatibility| |toroidal| |swapRows!| |sqfree| + |loopPoints| |elaborateFile| |separateDegrees| |bounds| |map| |yellow| + |previous| |OMgetEndError| |pole?| |setTex!| |toScale| |elColumn2!| + |c06fpf| |partition| |rank| |drawComplex| |singRicDE| |inrootof| + |makeResult| |squareFreeFactors| |primPartElseUnitCanonical!| + |consnewpol| |collectUnder| |redpps| |orthonormalBasis| |c06fuf| + |removeSuperfluousQuasiComponents| |var2Steps| |eigenvectors| + |generalizedContinuumHypothesisAssumed?| |monomialIntegrate| |zag| + |linear| |sincos| |pseudoDivide| |traverse| |setrest!| + |setIntersection| |continuedFraction| |formfeed| + |genericRightDiscriminant| |nonLinearPart| |noValueMode| |LyndonBasis| + |numericalIntegration| |divideExponents| |OMputEndApp| |point| + |entries| |nullity| |getOperator| |simplifyLog| |polynomial| |d02bbf| + |tubeRadiusDefault| |create3Space| |endSubProgram| |palgint| + |getVariableOrder| |expextendedint| |htrigs| |chiSquare1| |variable?| + |edf2ef| SEGMENT |totalLex| |direction| |polygon?| |node| + |graphCurves| |collectUpper| |cubic| |bezoutResultant| |rules| + |c02agf| |vspace| |terms| |viewWriteDefault| |idealiser| |series| + |aLinear| |ef2edf| |aQuadratic| |nthExponent| |update| |reify| |lists| + |monomRDE| |f02adf| |resultantReduit| |deleteRoutine!| + |integralRepresents| |ipow| |iisqrt2| |linearlyDependent?| |leftNorm| + |pmComplexintegrate| |mainCharacterization| |dmpToP| |leaves| |column| + |OMread| |copyInto!| |setleaves!| |reciprocalPolynomial| |c06gqf| + |convergents| |extractBottom!| |returnTypeOf| |qfactor| + |clipPointsDefault| |superscript| |charClass| |c05pbf| + |stosePrepareSubResAlgo| |iiasin| |rightUnit| |lifting1| |removeSinSq| + |writeBytes!| |monomials| |csch2sinh| |min| |elseBranch| + |leftRegularRepresentation| |doubleComplex?| |s14abf| |freeOf?| + |unitNormalize| |concat!| |outputBinaryFile| |setStatus!| + |extendedSubResultantGcd| |cycleLength| |isOr| |hostByteOrder| + |inverseIntegralMatrix| |mantissa| |splitLinear| |shiftRoots| + |PollardSmallFactor| |exprex| |magnitude| |jvmNameAndTypeConstantTag| + EQ |genericPosition| |moreAlgebraic?| |mapmult| |mkPrim| |sinIfCan| + |poisson| |constantCoefficientRicDE| |conjugate| |currentSubProgram| + |uniform01| |separateFactors| |dequeue| |iilog| |noLinearFactor?| + |pile| |se2rfi| |edf2fi| |notelem| |shanksDiscLogAlgorithm| |c06fqf| + |returns| |wholePart| |functionIsOscillatory| |upperCase!| |qqq| + |basisOfLeftAnnihilator| |characteristic| |definingEquations| + |FormatArabic| |heapSort| |viewport3D| |prinb| |addiag| + |karatsubaDivide| |distdfact| |perfectNthRoot| |divisor| |gcdprim| + |f01qdf| |mightHaveRoots| |bag| |hexDigit?| |setFormula!| |s17ahf| + |complexForm| |in?| |unrankImproperPartitions1| |imagI| + |invertibleSet| |imports| |iiacos| |pureLex| |unary?| |seriesSolve| + |rationalPower| |equation| |lighting| |lepol| + |selectNonFiniteRoutines| |polyRicDE| |df2mf| |largest| + |skewSFunction| |OMputFloat| |extend| |OMreadStr| |rootNormalize| + |leadingCoefficientRicDE| |root?| |toseInvertibleSet| |numeric| + |constant| |symmetricTensors| |positiveSolve| |reindex| + |screenResolution3D| |stopMusserTrials| |hypergeometric0F1| + |components| |calcRanges| |parametersOf| |plusInfinity| |getGoodPrime| + |radical| |degreePartition| |jvmFloatConstantTag| |fortranDouble| + |isAnd| |latex| |FormatRoman| |c06gbf| |lquo| |generalLambert| + |minusInfinity| |pToDmp| |operation| |odd?| |chebyshevU| |power| |lex| + |sign| |numberOfOperations| |normalized?| |dec| |replace| |isList| + |debug| |lfunc| |viewThetaDefault| |isobaric?| |bivariate?| + |sinh2csch| |mindegTerm| |orbit| |typeList| |internalZeroSetSplit| D + |depth| |radPoly| |arity| |setRow!| |froot| |OMReadError?| |finite?| + |points| |primitive?| |reverse!| |genericLeftDiscriminant| + |nextsubResultant2| |shiftLeft| |ddFact| |goodnessOfFit| + |printStatement| |character?| |coerceListOfPairs| |factorOfDegree| + |e01bhf| |gcdPrimitive| |leftMinimalPolynomial| |horizConcat| + |recolor| |unrankImproperPartitions0| |linearlyDependentOverZ?| |type| + |f02akf| |firstNumer| |fi2df| |mainVariable?| |explicitlyFinite?| + |parents| |lfinfieldint| |numberOfCycles| |c02aff| |slex| + |removeConstantTerm| |s17agf| |linearDependence| |rotate!| + |powerAssociative?| |BasicMethod| |f04axf| |rootProduct| |limit| + |rightGcd| |univariate?| |radicalSimplify| |rootOf| |f02aff| + |multiset| |diophantineSystem| |makeSeries| |OMUnknownCD?| + |reduceByQuasiMonic| |close| |exponents| |escape| + |semiSubResultantGcdEuclidean2| |normalizeIfCan| |indicialEquation| + |pquo| |partialNumerators| |bubbleSort!| |iiperm| |sequence| + |ramified?| |iterationVar| |split| |identity| |lSpaceBasis| + |readInt8!| |declare| |squareFreePart| |saturate| |display| |qPot| + |bracket| |tube| |eigenvalues| |cCsc| |tanIfCan| |exprToUPS| + |monicModulo| |removeZeroes| |voidMode| |numerators| |cosSinInfo| + |increment| |print| |firstDenom| |lazyPremWithDefault| |weights| + |complement| |listBranches| |nary?| |imagJ| |integralBasis| |resolve| + |coercePreimagesImages| |oddlambert| |gbasis| |ratDsolve| + |putProperties| |scan| |e04jaf| |OMputAttr| |sh| |shellSort| + |removeCosSq| |totolex| |signatureAst| |completeEval| |hexDigit| + |acscIfCan| |readLineIfCan!| |isConnected?| + |leftCharacteristicPolynomial| |f04qaf| |deepestTail| |upDateBranches| + |input| |externalList| |alternative?| |inverseLaplace| |twist| + |swapColumns!| |unprotectedRemoveRedundantFactors| |signAround| + |contractSolve| |cartesian| |library| |asimpson| |intcompBasis| + |fortranCompilerName| |withPredicates| |jvmInterface| |f04mcf| + |writeUInt8!| |log| |linGenPos| |characteristicPolynomial| + |topPredicate| |associative?| |rightOne| |yCoord| |binomial| + |triangular?| |setProperties| |iiatan| |read!| |pastel| + |splitSquarefree| |setLabelValue| |eigenMatrix| + |numberOfIrreduciblePoly| |pointLists| |var1Steps| |fortranReal| |li| + |characteristicSet| |zeroDimensional?| |prepareSubResAlgo| |OMclose| + |idealiserMatrix| |solveRetract| |jvmUTF8ConstantTag| |dfRange| + |addmod| |basisOfLeftNucleus| |algebraic?| |dAndcExp| |jvmStrict| + |lookup| |exponent| |romberg| |width| |complexRoots| + |numberOfDivisors| |complexExpand| |iiGamma| |s20acf| |remainder| + |pushFortranOutputStack| |monomRDEsys| |zero?| |difference| + |compound?| |jvmSynchronized| |printInfo!| |simpleBounds?| + |primlimitedint| |neglist| |popFortranOutputStack| |nthExpon| + |computePowers| |errorKind| |cSech| |doublyTransitive?| + |basisOfRightNucleus| |stoseInvertible?reg| |permutation| + |completeEchelonBasis| |ScanArabic| |outputAsFortran| |OMgetString| + |setLength!| |genericLeftNorm| |measure2Result| |s18adf| + |leftRankPolynomial| |low| |mkcomm| |drawStyle| |validExponential| + |f2df| |cycles| |reduceBasisAtInfinity| |scanOneDimSubspaces| |child?| + |resetNew| |factorGroebnerBasis| |controlPanel| |bright| |normalize| + |s14baf| |solve| |bits| |hessian| |reducedQPowers| |optional| + |changeVar| |mainVariable| |super| |differentialVariables| |d01akf| + |second| UP2UTS |var2StepsDefault| |basisOfRightNucloid| |alphabetic?| + |normal01| |monicCompleteDecompose| |ocf2ocdf| |harmonic| + |extendIfCan| |f01rcf| |third| |s17dcf| |rightRegularRepresentation| + |modulus| |iitan| |generalizedEigenvectors| |OMsupportsSymbol?| + |removeRoughlyRedundantFactorsInPol| |symbolTableOf| |show| |makeSUP| + |viewPhiDefault| |lineColorDefault| |antisymmetricTensors| + |drawToScale| |ScanFloatIgnoreSpacesIfCan| |startPolynomial| + |clearDenominator| |viewSizeDefault| |normDeriv2| |weierstrass| + |s21bdf| |units| |balancedFactorisation| |OMputEndAttr| |paren| + |indiceSubResultant| |perfectNthPower?| |setCondition!| + |generateIrredPoly| |screenResolution| |prologue| + |halfExtendedResultant2| |infRittWu?| |exportedOperators| + |modifyPoint| |zeroMatrix| |numberOfHues| |eigenvector| + |nextLatticePermutation| |rootPoly| |fibonacci| |badNum| |init| + |prefix| |henselFact| |argscript| |remove| |groebnerIdeal| + |meshFun2Var| |c06ekf| |enumerate| |vector| |OMencodingUnknown| + |entry| |label| |rombergo| |hasHi| |rightRank| |associates?| + |quasiRegular| |differentiate| |smith| |resize| |characteristicSerie| + |dflist| |solid| |pop!| |karatsuba| |c05nbf| |last| |maxint| |repSq| + |quickSort| |quote| |determinant| |assoc| |setImagSteps| |lfintegrate| + |compactFraction| |getMeasure| |reducedForm| |expr| |Nul| |clip| + |generators| |alphanumeric| |decreasePrecision| |testModulus| + |reflect| |s17dlf| |radicalRoots| |minrank| |processTemplate| + |irreducibleRepresentation| |principal?| |external?| + |invertibleElseSplit?| |hcrf| |showTheIFTable| |exprToXXP| |bringDown| + |makeCrit| |mathieu24| |UnVectorise| |f02fjf| |mainCoefficients| + |equality| |cAsech| |f04jgf| |autoReduced?| |SturmHabichtCoefficients| + |pointColorDefault| |loadNativeModule| |doubleDisc| |rootKerSimp| + |level| |plotPolar| |totalDifferential| |showArrayValues| |unparse| + |variable| |symmetricGroup| |round| |radicalSolve| |horizontalTab| + |unravel| |option| |exprHasWeightCosWXorSinWX| |rotatez| + |torsionIfCan| |printInfo| |shape| |iterators| |minimalPolynomial| + |ParCondList| |inf| |predicate| |categoryFrame| |integral?| + |roughBasicSet| |inverse| |mirror| |getConstant| |has?| |pToHdmp| + |pointData| |bombieriNorm| |top| |ratDenom| |pushup| |iiasec| + |multiplyExponents| |fortranComplex| |rem| |symbol| + |LagrangeInterpolation| |rightRecip| |d02raf| |quotientByP| |continue| + |setprevious!| |KrullNumber| |geometric| |selectPDERoutines| |d01aqf| + |quo| |expression| |viewpoint| |prindINFO| |subTriSet?| |delete| + |dmpToHdmp| |morphism| |cyclicSubmodule| |cyclic| |unvectorise| + |stoseInvertible?sqfreg| |integer| |zeroSquareMatrix| |range| + |lieAlgebra?| |algebraicOf| |normInvertible?| |float?| + |sumOfKthPowerDivisors| |mainPrimitivePart| |upperCase| |div| + |shallowExpand| |f01bsf| |leftLcm| |OMopenString| |extract!| |gethi| + |diff| |twoFactor| |jordanAdmissible?| |exquo| |rangeIsFinite| + |rightExactQuotient| |maxdeg| |const| |rightMinimalPolynomial| + |taylorRep| |binaryTree| |hitherPlane| |OMgetEndApp| ~= |jokerMode| + |simplifyPower| |d01anf| |polyred| |iiasech| |f02abf| + |regularRepresentation| |getRef| |OMreceive| |#| |patternVariable| + |genericLeftTraceForm| |maxrank| |scripted?| BY |cn| |palgintegrate| + |fractRagits| |cAcot| |cAsin| |assign| ~ |comp| |makeprod| |goto| + |youngGroup| |cAtanh| |constantLeft| |resultantEuclideannaif| + |deepestInitial| |constantOperator| |constantRight| |palgLODE| + |rewriteSetByReducingWithParticularGenerators| |symmetricProduct| + |writeByte!| |f02awf| |rootsOf| |expintegrate| |certainlySubVariety?| + |xn| |roughSubIdeal?| |OMgetSymbol| |f02aef| |insertMatch| + |purelyAlgebraic?| |conjunction| |vark| |dimensionsOf| |clearTable!| + |redPol| |corrPoly| |numberOfNormalPoly| |/\\| |e02agf| |critMonD1| + |hasPredicate?| |linearDependenceOverZ| |pattern| + |numericalOptimization| |factorSquareFree| |errorInfo| |generalSqFr| + |useSingleFactorBound?| |showSummary| |\\/| |check| |iroot| + |binarySearchTree| |sumOfDivisors| |algebraicDecompose| |setEpilogue!| + |companionBlocks| |ridHack1| |iiexp| |npcoef| |raisePolynomial| + |quoted?| |getExplanations| |basisOfLeftNucloid| |e02baf| + |maxRowIndex| |rationalFunction| |headAst| NOT |showAttributes| + |numberOfFractionalTerms| |iiacosh| |s17aef| |internal?| + |basisOfCenter| |csc2sin| |realEigenvalues| |asinhIfCan| |goodPoint| + OR |algint| |euclideanGroebner| |surface| |leadingSupport| + |useEisensteinCriterion?| |charpol| |composites| |hostPlatform| + |alphanumeric?| AND |true| |setValue!| |concat| |dmp2rfi| |fintegrate| + |pascalTriangle| |verticalTab| |gcdcofactprim| |powers| |c06eaf| + |startStats!| |pointPlot| |cAcsc| |getStream| |coshIfCan| |pushdterm| + |function| |orbits| |relativeApprox| |symbol?| |mathieu23| |complete| + |supRittWu?| |OMgetFloat| |frst| |aromberg| |mulmod| |yCoordinates| + |complex?| |leftRecip| |degreeSubResultant| |interReduce| |Ci| + |unmakeSUP| |symmetricPower| |setvalue!| |back| |indicialEquations| + |linear?| |d02gbf| |printingInfo?| |factorAndSplit| + |showIntensityFunctions| |stiffnessAndStabilityFactor| + |createRandomElement| |e02bef| |open| |OMParseError?| |lambert| + |empty?| |ode2| |closed?| |readLine!| |makeFloatFunction| + |var1StepsDefault| |bivariateSLPEBR| |integralBasisAtInfinity| + |ratpart| |parts| |makeSketch| |showScalarValues| |set| UTS2UP + |splitConstant| |useSingleFactorBound| |lllip| |iisqrt3| |clearCache| + |divergence| |zoom| |leftOne| |expenseOfEvaluation| |HenselLift| + |negative?| |getButtonValue| |duplicates?| |cyclicCopy| |moebius| + |e02adf| |setLegalFortranSourceExtensions| |cSinh| |OMunhandledSymbol| + |nilFactor| |minRowIndex| |wordInStrongGenerators| |children| + |jordanAlgebra?| |operations| |maxIndex| |prod| |socf2socdf| + |principalIdeal| |d02ejf| * |applyRules| |factor1| |e02bbf| + |writeInt8!| |separant| |mapGen| |OMputError| |tablePow| |wrregime| + |unitsColorDefault| |trivialIdeal?| |nextSublist| |resultant| + |mappingMode| |bfKeys| |d03edf| |inR?| |currentCategoryFrame| + |selectIntegrationRoutines| |datalist| |integerBound| |debug3D| + |radix| |leftRemainder| |transpose| |title| |infix| |cfirst| + |solveLinear| |target| |coHeight| = |exprHasLogarithmicWeights| + |tanAn| |torsion?| |convert| |lcm| |curve?| |bumptab| + |semicolonSeparate| |medialSet| |listLoops| |pointColorPalette| + |secIfCan| |getGraph| |newTypeLists| |clipBoolean| |numer| |bat1| + |quartic| |setMinPoints3D| |rightDiscriminant| |nextColeman| < + |semiLastSubResultantEuclidean| |coordinates| |matrixDimensions| + |null| |normal?| |append| |denom| |eyeDistance| |OMgetInteger| |scale| + > |bigEndian| |e01daf| |polyRDE| |not| |fullDisplay| |rarrow| + |integralAtInfinity?| |gcd| |triangSolve| |rationalIfCan| |OMgetAtp| + <= |jacobi| |bytes| |macroExpand| |denominators| + |subscriptedVariables| |and| |leadingIdeal| |curryRight| + |trigs2explogs| |power!| |false| |pi| |constantKernel| |branchIfCan| + >= |mathieu11| |create| |makeFR| |infieldint| |or| |front| |coerce| + |arrayStack| |infinity| |pr2dmp| |updateStatus!| |normalise| + |argument| |LiePoly| |s21bbf| |exp1| |xor| |lexico| |construct| + |resetAttributeButtons| |setStatus| |listOfLists| |packageCall| + |f04adf| |crest| |root| |midpoint| |jvmStatic| |elementary| |case| + |f02wef| |legendreP| |constantOpIfCan| |cylindrical| |addPoint| + |iidprod| |f04asf| |leftDivide| + |truncate| |moduloP| |s01eaf| + |cycleElt| |Zero| |sturmVariationsOf| |randnum| |powmod| |kernel| + |invertIfCan| |abelianGroup| |squareFreeLexTriangular| |cycleTail| + |algebraicCoefficients?| - |semiResultantEuclidean2| |fixedDivisor| + |newSubProgram| |sort| |One| |rightRemainder| |cos2sec| + |makeYoungTableau| |Frobenius| |insertionSort!| / |environment| + |ListOfTerms| |createNormalElement| |iisinh| |primeFactor| + |subResultantsChain| |youngDiagram| |e02ajf| |solveid| |credPol| + |createMultiplicationTable| |simpsono| |currentEnv| |infinite?| + |random| |cyclotomicFactorization| |rroot| |zeroDimPrime?| + |divideIfCan| |subresultantVector| |atanIfCan| |readByte!| |e01saf| + |completeHermite| |nsqfree| |jvmPublic| |LyndonCoordinates| + |removeRoughlyRedundantFactorsInContents| |RemainderList| |e01bgf| + |bezoutDiscriminant| |setleft!| |coerceP| |particularSolution| + |generator| |totalGroebner| |numFunEvals| |primextintfrac| |isPower| + |iisech| |zero| |reducedContinuedFraction| |thetaCoord| + |computeCycleLength| |lazyEvaluate| |cycleSplit!| |drawCurves| |elt| + |sncndn| |coefficients| |aQuartic| |setVariableOrder| |identification| + |newReduc| |boundOfCauchy| |univariatePolynomial| |infinityNorm| + |definingInequation| |lastSubResultant| |condition| |reduction| + |reducedDiscriminant| |parent| |setRealSteps| |iCompose| |And| + |transcendenceDegree| |someBasis| |seriesToOutputForm| |f04maf| + |OMgetApp| |printHeader| |cardinality| |s17adf| |trapezoidal| + |midpoints| |iisin| |tan2trig| |logical?| |Or| |tower| |laguerreL| + |match?| |gcdcofact| |allRootsOf| |dioSolve| |top!| |s18acf| |write!| + |inRadical?| |trailingCoefficient| |Ei| |c06gsf| |Not| |factorset| + |infLex?| |trim| |genericRightNorm| |OMconnInDevice| + |numberOfChildren| |extractIndex| |sec2cos| |getCurve| + |OMgetEndObject| |ldf2vmf| |iibinom| |choosemon| |any?| + |repeatUntilLoop| |resetVariableOrder| |coordinate| |product| + |rotatey| |bernoulliB| |leastPower| |rdregime| |signature| |edf2df| + GF2FG |digamma| |Si| |iFTable| |setelt| |rowEchelon| |pseudoRemainder| + |outputAsScript| |OMserve| |explicitEntries?| + |solveLinearPolynomialEquationByRecursion| |nextSubsetGray| + |changeWeightLevel| |closedCurve| |prevPrime| |iteratedInitials| + |setProperty| |disjunction| |showTheFTable| |mainValue| |square?| + |drawComplexVectorField| |region| |fortranTypeOf| |derivative| + |mergeFactors| |copy| |leftZero| |subPolSet?| |zeroVector| |linears| + |copies| |complexNumeric| |chiSquare| |multiplyCoefficients| + |infieldIntegrate| |incr| |cup| |subResultantGcd| |principalAncestors| + |finiteBound| |mapExpon| |f01rdf| |df2st| |cAcsch| |lazyPseudoDivide| + |patternMatch| |hi| |commutative?| |mdeg| |autoCoerce| |iprint| + |OMencodingBinary| |setelt!| |merge!| |kernels| |jvmLongConstantTag| + |ldf2lst| |f07fef| |eof?| |palgextint0| |kovacic| |subscript| + |att2Result| |fracPart| |anticoord| |subResultantGcdEuclidean| + |nullSpace| |euclideanNormalForm| |hex| |closeComponent| |operator| + |before?| |e04gcf| |mkIntegral| |iflist2Result| |rst| |adaptive?| + |imaginary| |primaryDecomp| |OMsend| |every?| + |wordsForStrongGenerators| |pmintegrate| |univariate| + |selectODEIVPRoutines| |fortranCarriageReturn| |prime?| |ode1| + |jvmInterfaceMethodConstantTag| |totalfract| |dark| |coefficient| + |startTableGcd!| |lastSubResultantElseSplit| |digit| |dimension| + |flexibleArray| |rightPower| |chainSubResultants| |df2ef| + |rightQuotient| |bfEntry| |mergeDifference| |stopTable!| |critMTonD1| + |nil?| |expIfCan| |sPol| |cosIfCan| |semiDegreeSubResultantEuclidean| + |createGenericMatrix| |slash| |quasiComponent| |paraboloidal| + |cyclicEqual?| |noncommutativeJordanAlgebra?| |factor| |gramschmidt| + |compile| |chvar| |semiDiscriminantEuclidean| |irreducibleFactor| + |BumInSepFFE| |randomLC| |OMgetEndAttr| |tableForDiscreteLogarithm| + |adaptive| |mapUnivariate| |sqrt| |status| |changeName| + |relationsIdeal| |iiacoth| |sizeLess?| |binaryFunction| |f02bjf| + |modTree| |evenInfiniteProduct| |rootDirectory| |real| |is?| |f01ref| + |cyclicEntries| |stopTableInvSet!| |bumptab1| |setPoly| |typeLists| + |absolutelyIrreducible?| |recoverAfterFail| |infiniteProduct| |imag| + |crushedSet| |inspect| |generalTwoFactor| |whileLoop| + |commutativeEquality| |cyclePartition| |realZeros| |directProduct| + |leftMult| |pushuconst| |viewport2D| |repeating| |next| |vedf2vef| + |partialFraction| |setPredicates| |sts2stst| |iomode| |expandPower| + |nil| |makeEq| |d01ajf| |topFortranOutputStack| |rotate| + |fortranDoubleComplex| |evaluate| |setref| |tree| |curry| + |degreeSubResultantEuclidean| |basisOfRightAnnihilator| + |expenseOfEvaluationIF| |anfactor| |removeRedundantFactorsInContents| + |toseSquareFreePart| |lowerBound| |isOpen?| |brace| |generate| + |elements| |dimensionOfIrreducibleRepresentation| |B1solve| + |conjugates| |invertible?| |getIdentifier| |antiCommutative?| + |ratPoly| |linearMatrix| |irCtor| |vectorise| |currentScope| + |destruct| |inputOutputBinaryFile| |reopen!| |cCsch| |rootSimp| + |primPartElseUnitCanonical| |traceMatrix| |setAdaptive3D| + |numberOfFactors| |approximate| |ideal| |putProperty| |atanhIfCan| + |f07adf| |jvmFinal| |explicitlyEmpty?| |OMputEndBVar| |hdmpToP| + |insert!| |stoseIntegralLastSubResultant| |complex| |padecf| + |plenaryPower| |c06gcf| |f2st| |isQuotient| |idealSimplify| + |transcendentalDecompose| |positiveRemainder| |lfextlimint| |member?| + |OMconnOutDevice| |zerosOf| |solid?| |inverseIntegralMatrixAtInfinity| + |lifting| |parseString| |computeBasis| |numberOfMonomials| + |ScanFloatIgnoreSpaces| |iiacsch| |lowerPolynomial| |zeroDimPrimary?| + |flatten| |pushdown| |bothWays| |monomial| |fixedPoint| |cAcoth| + |subSet| |reorder| |graphs| |isImplies| |conical| |makeSin| |insert| + |d01amf| |multivariate| |row| |incrementBy| |nextPrime| + |fixedPointExquo| |submod| |palgextint| |representationType| + |zeroDim?| |irDef| |variables| |prem| |iisec| |approximants| + |OMgetAttr| |sin2csc| |userOrdered?| |expand| |elRow2!| |sequences| + |gradient| |quadratic| |fortranCharacter| |insertRoot!| |initial| + |directory| |readUInt32!| |f02aaf| |height| |clearTheIFTable| + |filterWhile| |s19adf| |prinshINFO| |rotatex| |areEquivalent?| + |incrementKthElement| |OMbindTCP| |selectfirst| |permutations| + |resultantEuclidean| |filterUntil| |complexIntegrate| + |indicialEquationAtInfinity| |cLog| |mathieu12| |baseRDEsys| + |changeNameToObjf| |stop| |clearTheSymbolTable| |testDim| |null?| + |showRegion| |select| |linSolve| |Aleph| |keys| |OMgetEndAtp| + |besselJ| |argumentList!| |printCode| |hMonic| |mathieu22| |d02kef| + |cyclicParents| |optimize| |rightFactorCandidate| |basisOfNucleus| + |max| |cSin| |taylor| |deref| |stack| |compBound| |e01bff| + |removeRedundantFactorsInPols| |s13aaf| |OMencodingXML| |increase| + |nonSingularModel| |double| |remove!| |approxNthRoot| |laurent| + |stronglyReduced?| |sylvesterMatrix| |partialQuotients| + |rightAlternative?| |quotient| |OMgetBind| |dom| |bit?| |outerProduct| + |graphState| |e04naf| |puiseux| |shufflein| |qinterval| |mappingAst| + |useEisensteinCriterion| |curryLeft| |updatD| |obj| |OMputString| + |removeDuplicates| |pade| |diagonalMatrix| |cAsec| |rational?| + |xCoord| |sinhcosh| |findConstructor| |isMult| |palgint0| |inv| + |sechIfCan| |rootSplit| |elaboration| |mainVariables| |setOfMinN| + |limitedIntegrate| |makeRecord| |f01maf| |ground?| |op| + |padicFraction| |safeCeiling| |hermite| |pointSizeDefault| + |kroneckerDelta| |jacobiIdentity?| |singular?| |position!| |tanNa| + |rationalPoints| |fractionFreeGauss!| |ground| |bumprow| + |fullPartialFraction| |monicRightDivide| |fractionPart| + |encodingDirectory| |subNodeOf?| |mkAnswer| |precision| + |leadingMonomial| |whitePoint| |trunc| |squareFree| |fTable| + |thenBranch| |squareMatrix| |ScanRoman| |padicallyExpand| |nlde| + |tanintegrate| |leadingCoefficient| |createThreeSpace| + |bandedJacobian| |dn| |optpair| |alternatingGroup| |rational| |more?| + |stoseInternalLastSubResultant| |multiEuclideanTree| + |primitiveMonomials| |move| |myDegree| |sizeMultiplication| + |stoseInvertibleSetsqfreg| |indiceSubResultantEuclidean| + |numberOfVariables| |output| |transcendent?| |oddintegers| + |solveLinearPolynomialEquationByFractions| |cosh2sech| |reductum| + |mindeg| |interactiveEnv| |distFact| |setAttributeButtonStep| + |acoshIfCan| |test| |factorFraction| |isAtom| |kind| + |initializeGroupForWordProblem| |rewriteSetWithReduction| |tail| + |algebraicSort| |generalizedInverse| |minIndex| |heap| |insertTop!| + |cothIfCan| |trapezoidalo| |stoseInvertibleSet| |lhs| + |prolateSpheroidal| |underscore| |logpart| |findCycle| |leaf?| + |bindings| |f04atf| |sparsityIF| |hue| |phiCoord| |logIfCan| |rhs| + |e02akf| |getZechTable| |outputGeneral| |apply| |lfextendedint| + |outputForm| |mainMonomial| |leadingExponent| |selectAndPolynomials| + |mapMatrixIfCan| |OMputSymbol| |outputAsTex| |realRoots| + |lazyGintegrate| |first| |pushucoef| |c05adf| |OMmakeConn| |message| + |acothIfCan| |nonQsign| |jvmMethodrefConstantTag| |primes| |rest| + |expt| |maxrow| |fixPredicate| |minset| |leftDiscriminant| |rowEch| + |exteriorDifferential| |integralCoordinates| |critpOrder| |rightLcm| + |stFunc1| |createPrimitiveElement| |restorePrecision| + |startTableInvSet!| |readIfCan!| |iicoth| |makeMulti| |antiCommutator| + |groebnerFactorize| |critM| |compiledFunction| |useNagFunctions| + |increasePrecision| |sturmSequence| |rquo| |erf| |directSum| |abs| + |e02bdf| |integrate| |rationalPoint?| |firstUncouplingMatrix| |atoms| + |fortran| |floor| |evenlambert| |sortConstraints| |extendedint| |norm| + |any| |module| |mainKernel| |factors| |deepCopy| |graphImage| |d03faf| + |lp| |sdf2lst| |s17akf| |decrease| |laurentIfCan| |primintegrate| + |rowEchelonLocal| |rightTrim| |hash| |sample| |void| |dilog| |exists?| + |removeSinhSq| |sorted?| |subHeight| |computeCycleEntry| + |rightExtendedGcd| |hclf| |semiResultantEuclidean1| |count| |leftTrim| + |sin| |basisOfCommutingElements| |bitLength| |prime| + |tubePointsDefault| |normalForm| |graeffe| |members| |shallowCopy| + |intersect| |initiallyReduced?| |cos| |primextendedint| |rightDivide| + |lowerCase?| |makeGraphImage| |meshPar2Var| |conjug| |fglmIfCan| + |regime| |opeval| |overbar| |tan| |iiacot| + |removeRoughlyRedundantFactorsInPols| |f02agf| |maxPoints3D| + |numericIfCan| |complexElementary| |hyperelliptic| |sup| |postfix| + |isNot| |contract| |cot| |squareFreePolynomial| |acotIfCan| + |nextPrimitiveNormalPoly| |red| |char| |specialTrigs| |spherical| + |denomRicDE| |fortranLogical| |rewriteIdealWithHeadRemainder| + |logGamma| |sec| |wholeRagits| |purelyAlgebraicLeadingMonomial?| + |initiallyReduce| |plus| |returnType!| |entry?| |coerceL| |eq?| + |viewPosDefault| |quadraticForm| |radicalEigenvalues| |csc| |e04ycf| + |coth2tanh| |jvmAbstract| |string?| |unexpand| |acschIfCan| + |internalSubQuasiComponent?| |delay| |mr| |rischNormalize| + |chineseRemainder| |asin| |rspace| |decompose| |headReduced?| + |leftUnits| |subResultantChain| |bitTruth| |noKaratsuba| |d02bhf| + |leftFactor| |weakBiRank| |OMputApp| |OMputInteger| |acos| |support| + |tanh2trigh| |times| |hconcat| |Is| |float| |merge| |connectTo| + |charthRoot| |sqfrFactor| |selectSumOfSquaresRoutines| |atan| + |isAbsolutelyIrreducible?| |connect| |zeroOf| |cycleEntry| + |pointColor| |associatorDependence| |singleFactorBound| |cyclotomic| + |byteBuffer| |extendedIntegrate| |acot| |script| |OMcloseConn| + |baseRDE| |limitedint| |integral| |nand| |sn| |arbitrary| |basicSet| + |compdegd| |parametric?| |delta| RF2UTS |asec| |options| + |algintegrate| |antisymmetric?| |nthRoot| |diagonals| |linkToFortran| + |constructor| |minPoly| |matrix| |subresultantSequence| + |numberOfComponents| |nor| |dequeue!| |closed| |acsc| |inconsistent?| + |LazardQuotient| |radicalEigenvectors| |monom| |rootBound| |fmecg| + |outputMeasure| |augment| |zeroSetSplitIntoTriangularSystems| + |functorData| |prinpolINFO| |sinh| |string| |tex| |finiteBasis| + |leftScalarTimes!| |perfectSqrt| |showClipRegion| |diagonalProduct| + |vertConcat| |multinomial| |balancedBinaryTree| |stoseInvertible?| + |iiacsc| |tanhIfCan| |cosh| |isPlus| |axes| |OMputObject| |mesh?| + |c06ebf| |physicalLength!| |f04mbf| |getSyntaxFormsFromFile| |zCoord| + |integer?| |common| |tanh| |genericLeftTrace| + |univariatePolynomialsGcds| |close!| |sort!| |modularGcdPrimitive| + |lllp| |nthr| |triangularSystems| |length| |e02daf| |presub| |reverse| + |coth| |lazyPseudoRemainder| |leftExtendedGcd| |GospersMethod| |isOp| + |integers| GE |basisOfCentroid| |numberOfPrimitivePoly| + |setTopPredicate| |generic| |scripts| |getDatabase| |mainMonomials| + |sech| |variationOfParameters| |numberOfImproperPartitions| |over| + |univariateSolve| |s17acf| GT |stirling1| |iicsc| |removeCoshSq| + |scalarTypeOf| |lambda| |sub| |stFuncN| |pow| |csch| |d03eef| + |composite| |imagE| |inverseColeman| |mainSquareFreePart| LE + |factorSquareFreePolynomial| |leftFactorIfCan| |sin?| |schema| + |constantToUnaryFunction| |high| |asinh| |quadratic?| |double?| + |fillPascalTriangle| |showAllElements| |varselect| LT |bezoutMatrix| + |genus| |leftTrace| |index?| |airyAi| |acosh| |reducedSystem| + |OMgetType| |shrinkable| |elRow1!| |outputSpacing| |completeSmith| + |brillhartTrials| |kmax| |axesColorDefault| |groebner| |mvar| |atanh| + |primeFrobenius| |s21bcf| |listexp| |setScreenResolution| |distance| + |rur| |roman| |addBadValue| |nodeOf?| |backOldPos| |intChoose| |acoth| + |palglimint| |rename!| |complexLimit| |makeTerm| |middle| |stFunc2| + |recip| |writable?| |limitPlus| |highCommonTerms| |overlabel| |asech| + |exactQuotient| |structuralConstants| |getProperties| + |linearPolynomials| |getOrder| |tanSum| |d01gaf| |minordet| + |exponentialOrder| |fprindINFO| |primlimintfrac| |refine| |multisect| + |getPickedPoints| |palginfieldint| |selectMultiDimensionalRoutines| + |internalIntegrate0| |fortranLiteral| |lieAdmissible?| |linearForm| + |multiple| |exprHasAlgebraicWeight| |safetyMargin| |backspace| + |SturmHabicht| |outlineRender| |fill!| |OMconnectTCP| |addMatch| + |nullary?| |contours| |applyQuote| |edf2efi| |quasiRegular?| + |acosIfCan| |splitNodeOf!| |bitCoef| |HermiteIntegrate| + |lazyResidueClass| |declare!| |selectPolynomials| |delete!| + |resetBadValues| |laplace| |even?| |subtractIfCan| |headReduce| |just| + |toseInvertible?| |genericRightTraceForm| |positive?| |bernoulli| + |deriv| |iicosh| |inGroundField?| |option?| |component| + |LowTriBddDenomInv| |viewDeltaXDefault| |jvmSuper| |listOfMonoms| + |Vectorise| |subCase?| |showFortranOutputStack| |parameters| |ruleset| + |matrixGcd| |algDsolve| |sizePascalTriangle| |preprocess| + |unknownEndian| |minPol| |solveInField| |countRealRootsMultiple| + |leftGcd| |nthRootIfCan| |bipolar| |decimal| |untab| |rubiksGroup| + |tensorProduct| |outputFixed| |id| |octon| |monomialIntPoly| + |Hausdorff| |computeInt| |getMultiplicationMatrix| |wreath| |routines| + |roughUnitIdeal?| |OMgetEndBVar| |revert| |ParCond| |s17aff| |lo| + |approxSqrt| |c06ecf| |diag| |s17ajf| |ranges| |suchThat| + |removeSuperfluousCases| |lazyIntegrate| |log2| |subQuasiComponent?| + |linearAssociatedExp| |setEmpty!| |step| |cTanh| |tRange| + |hasTopPredicate?| |showTheSymbolTable| |number?| |changeBase| |rk4f| + |nextItem| |order| |leadingTerm| |s15aef| |segment| |makeop| + |componentUpperBound| |tanh2coth| |setErrorBound| |coerceS| + |lazyIrreducibleFactors| |critBonD| |s17dhf| |recur| |roughBase?| + |getBadValues| |mainExpression| |algSplitSimple| |graphStates| + |e02def| |gderiv| |tableau| |jvmStringConstantTag| + |nativeModuleExtension| |OMputEndAtp| |lflimitedint| |cons| |mix| + |quasiMonicPolynomials| |fortranInteger| |LyndonWordsList| |setright!| + |leviCivitaSymbol| |leastAffineMultiple| |s19aaf| |log10| |groebgen| + |bat| |stoseSquareFreePart| |integerIfCan| |univcase| |leftRank| + |normalElement| |iicot| |cExp| |rk4qc| |bitand| |hermiteH| |setlast!| + |rationalApproximation| |plus!| |coth2trigh| |property| + |irreducibleFactors| |bitior| |outputList| |divide| |push!| + |partitions| |viewWriteAvailable| |denominator| |ravel| |e01sff| + |imagi| |splitDenominator| |linearAssociatedLog| |fixedPoints| + |prepareDecompose| |subNode?| |rowEchLocal| |primitivePart| + |setDifference| |ptree| |reshape| |nextPartition| |diagonal?| + |clikeUniv| |doubleRank| |tab| |rightNorm| |repeating?| |minimize| + |d02gaf| |sayLength| |arguments| |jvmProtected| |source| + |uncouplingMatrices| |LiePolyIfCan| |rightTraceMatrix| + |univariatePolynomials| |pleskenSplit| |readUInt8!| |iiabs| |pdct| + |dominantTerm| |stoseLastSubResultant| |bipolarCylindrical| + |OMgetError| |deepExpand| |makeCos| |comparison| + |intermediateResultsIF| |s18def| |localReal?| |dim| |find| |addPoint2| + |represents| |inHallBasis?| |strongGenerators| |internalAugment| + |f01mcf| |changeThreshhold| |dihedralGroup| |OMencodingSGML| + |expressIdealMember| |completeHensel| |groebner?| |prefixRagits| + |musserTrials| |modularFactor| |sumOfSquares| |rightScalarTimes!| + |mainContent| |extendedResultant| |semiIndiceSubResultantEuclidean| + |queue| |minPoints3D| |makingStats?| |s18aef| + |selectOptimizationRoutines| |powerSum| |lintgcd| |eulerPhi| |retract| + |binomThmExpt| |normalizedDivide| |stronglyReduce| + |rootOfIrreduciblePoly| |imagK| |parabolicCylindrical| |printTypes| + |key?| |lyndon| |OMreadFile| |light| |nextNormalPrimitivePoly| + |nthFlag| |csubst| |discreteLog| |hasSolution?| |maxPoints| |e04dgf| + |OMlistSymbols| |mpsode| |qelt| |functionIsFracPolynomial?| + |lyndonIfCan| |purelyTranscendental?| |Gamma| |updatF| |tan2cot| + |cycle| |key| |halfExtendedSubResultantGcd1| |quoByVar| |isTimes| + |qsetelt| |invmod| |startTable!| |position| |accuracyIF| |solve1| + |doubleResultant| |blankSeparate| |retractable?| |pdf2ef| |getCode| + |identityMatrix| |eq| |xRange| |readUInt16!| |real?| + |leadingBasisTerm| |cdr| |filename| |divideIfCan!| |cAcos| + |optAttributes| |lift| |Lazard| |head| |stiffnessAndStabilityOfODEIF| + |iter| |yRange| |linearPart| |discriminant| |virtualDegree| + |replaceKthElement| |elliptic?| |reduce| |genericRightTrace| + |buildSyntax| |semiSubResultantGcdEuclidean1| |zRange| |table| + |leftAlternative?| |addMatchRestricted| |ignore?| Y |insertBottom!| + |cross| |digit?| |node?| |parse| |imagk| |linefeed| |innerSolve1| + |eisensteinIrreducible?| |map!| |new| |cCot| |linearElement| + |divisors| |adaptive3D?| |implies| |denomLODE| |reverseLex| |iiatanh| + |resultantnaif| |expintfldpoly| |qsetelt!| |adjoint| |enqueue!| + |rightUnits| |ODESolve| |complexNormalize| |central?| |extension| + |exprToGenUPS| |taylorQuoByVar| |setScreenResolution3D| + |firstSubsetGray| |polCase| |setsubMatrix!| |besselY| + |binaryTournament| |measure| |failed| |rectangularMatrix| + |createIrreduciblePoly| |s20adf| |polarCoordinates| |primitiveElement| + |OMsetEncoding| |lowerCase| |jvmVolatile| |hspace| |SFunction| + |s17dgf| |powern| |integralMatrixAtInfinity| |rangePascalTriangle| + |curveColorPalette| |collect| |lexTriangular| |s18aff| |PDESolve| + |cyclic?| |clipSurface| |factorList| |monicDecomposeIfCan| |universe| + |tab1| |nullary| |changeMeasure| |acsch| |atrapezoidal| |value| + |subspace| |list| |endOfFile?| |df2fi| |mapUnivariateIfCan| + |polynomialZeros| |bsolve| |interval| |draw| |s19abf| + |quotedOperators| |chebyshevT| |probablyZeroDim?| |properties| |error| + |distribute| |associator| |polygon| |formula| |cot2trig| |cAcosh| + |normalDeriv| |separate| |complexSolve| |empty| |translate| + |homogeneous?| |generalizedEigenvector| |OMputBVar| |categoryMode| + |jvmTransient| |left| |iExquo| |leftReducedSystem| |dictionary| + |integralLastSubResultant| |lazy?| |wordInGenerators| |pair?| + |messagePrint| |laurentRep| |removeSquaresIfCan| |right| |elem?| + |factorSFBRlcUnit| |explogs2trigs| |complexEigenvalues| |tracePowMod| + |weight| |domainTemplate| |index| |unit?| |ptFunc| |f02bbf| + |makeObject| |setClipValue| FG2F |genericRightMinimalPolynomial| + |getMatch| |byte| |extractTop!| |iitanh| |nrows| |isExpt| |asecIfCan| + |swap| |cCosh| |part?| |extractIfCan| |simplifyExp| |coef| |select!| + |tryFunctionalDecomposition?| |pair| |euler| |ncols| |headRemainder| + |setOrder| |name| |localAbs| |s19acf| |cCos| |jvmClassConstantTag| + |multiEuclidean| |selectOrPolynomials| |callForm?| + |semiResultantEuclideannaif| |jvmDoubleConstantTag| |body| |result| + |trace2PowMod| |retractIfCan| |factorPolynomial| |stopTableGcd!| + |OMlistCDs| |diagonal| |trace| |safeFloor| |d01asf| |iiasinh| + |unitVector| |symmetric?| |llprop| |carriageReturn| |list?| |jacobian| + |e04fdf| |setColumn!| |branchPointAtInfinity?| |eval| |omError| + |mainForm| |selectsecond| |minGbasis| |interpret| |upperBound| + |extractClosed| |hdmpToDmp| |internalLastSubResultant| + |brillhartIrreducible?| |scopes| |unit| |mapBivariate| + |collectQuasiMonic| |LyndonWordsList1| |build| |reduced?| |UP2ifCan| + |rightMult| |euclideanSize| |coord| |janko2| |decomposeFunc| + |oneDimensionalArray| |OMUnknownSymbol?| |swap!| |epilogue| + |basisOfMiddleNucleus| |zeroSetSplit| |upperCase?| |clipWithRanges| + |linearAssociatedOrder| |weighted| |int| |rename| |permutationGroup| + |code| |trigs| |iipow| |ceiling| |cyclotomicDecomposition| |d01apf| + |outputArgs| |maxColIndex| |toseLastSubResultant| |cyclicGroup| + |fractRadix| |primitivePart!| |bivariatePolynomials| |whatInfinity| + |listConjugateBases| |derivationCoordinates| |setnext!| |modularGcd| + |mapCoef| |scaleRoots| |groebSolve| |unaryFunction| + |rightRankPolynomial| |d01gbf| |cAsinh| |interpretString| + |radicalOfLeftTraceForm| LODO2FUN |nextNormalPoly| |exactQuotient!| + |jvmIntegerConstantTag| |roughEqualIdeals?| |listYoungTableaus| |po| F + |mapdiv| |divisorCascade| |port| |removeIrreducibleRedundantFactors| + |normalizeAtInfinity| |OMgetObject| |atom?| |printStats!| |ip4Address| + |supDimElseRittWu?| |getlo| |e01sef| |permutationRepresentation| + |flexible?| |copy!| |cAtan| |OMgetEndBind| |e02gaf| |checkPrecision| + |doubleFloatFormat| |solveLinearlyOverQ| |mat| |subset?| |minPoints| + |block| |semiResultantReduitEuclidean| |tryFunctionalDecomposition| + |search| |alphabetic| |overset?| |e01baf| |lazyPquo| |lookupFunction| + |f01qcf| |SturmHabichtMultiple| |t| |clipParametric| + |createPrimitiveNormalPoly| |rewriteIdealWithRemainder| |squareTop| + |d01fcf| |countable?| |RittWuCompare| |ran| |monicRightFactorIfCan| + |knownInfBasis| |bottom!| |uniform| |getProperty| |permanent| + |closedCurve?| |extractSplittingLeaf| |palgRDE0| |nthFractionalTerm| + |dimensions| |f07fdf| |oddInfiniteProduct| |overlap| |hasoln| + |complementaryBasis| |quatern| |mapUp!| |cot2tan| |ord| |d02cjf| + |ReduceOrder| |pseudoQuotient| |shiftRight| |parabolic| ** + |removeZero| |f04arf| |lazyPseudoQuotient| |pack!| |viewDeltaYDefault| + |stirling2| |nthFactor| |extractPoint| |expandLog| |karatsubaOnce| + |readBytes!| |pomopo!| |s15adf| |setMaxPoints3D| |qroot| |unknown| + |leftPower| |sumSquares| |setClosed| |factorByRecursion| |setfirst!| + |rightFactorIfCan| |UpTriBddDenomInv| |iicos| |vconcat| |substitute| + |besselK| |iicsch| |e04mbf| |createMultiplicationMatrix| |intensity| + |minus!| |normalDenom| |functionIsContinuousAtEndPoints| |f02axf| + |size?| |host| |primintfldpoly| |transform| |OMputBind| |tValues| + |f01brf| |cond| |constant?| |laplacian| |OMputVariable| |d01alf| + |OMgetBVar| |equiv| |rdHack1| |conditionsForIdempotents| |degree| + |imagj| |systemCommand| |extendedEuclidean| |problemPoints| |element?| + |s13adf| |pushNewContour| |e01bef| |ricDsolve| |alternating| |open?| + |associatedEquations| |mapDown!| |ffactor| |writeLine!| |f01qef| + |enterPointData| |leftUnit| |Beta| |localUnquote| |summation| + |binding| |normal| |pol| |cRationalPower| |possiblyNewVariety?| + |figureUnits| |OMputEndBind| |indices| + |standardBasisOfCyclicSubmodule| |fortranLiteralLine| |polygamma| + |leftQuotient| |nothing| |constDsolve| |rule| |eulerE| + |internalSubPolSet?| |OMgetVariable| |internalInfRittWu?| |f04faf| + |exponential| |box| |integralDerivationMatrix| |green| |ode| + |elliptic| |blue| |ksec| |interpolate| |setButtonValue| |s17def| + |biRank| |oblateSpheroidal| |multMonom| |e02dcf| |critT| |categories| + |symbolIfCan| |numberOfComposites| |gcdPolynomial| |makeViewport3D| + |leadingIndex| |OMputAtp| |createNormalPrimitivePoly| |palgRDE| + |genericLeftMinimalPolynomial| |e02ddf| |quasiAlgebraicSet| |newLine| + |antiAssociative?| |moduleSum| |duplicates| |removeDuplicates!| + |airyBi| |superHeight| |definingPolynomial| |cCoth| |besselI| + |palglimint0| |physicalLength| |factorials| |constantIfCan| + |halfExtendedResultant1| |OMputEndObject| |factorsOfDegree| |lyndon?| + |realElementary| |clearTheFTable| |normFactors| |expandTrigProducts| + |trueEqual| |lowerCase!| |rk4| |solveLinearPolynomialEquation| + |substring?| |monicLeftDivide| |Lazard2| |unitNormal| |symFunc| + |outputFloating| |symmetricRemainder| |appendPoint| |dual| + |showTheRoutinesTable| |mesh| |makeVariable| |createZechTable| + |matrixConcat3D| |e02dff| |radicalEigenvector| |colorFunction| + |palgLODE0| |presuper| |newline| |coefChoose| |suffix?| |category| + |jvmNative| |extractProperty| |createPrimitivePoly| |laguerre| + |s21baf| |simplify| |curve| |localIntegralBasis| |fortranLinkerArgs| + |OMwrite| |domain| |innerSolve| |wholeRadix| |intPatternMatch| + |normalizedAssociate| |car| |leader| |cschIfCan| |readInt16!| + |supersub| |minimumDegree| |reseed| |prefix?| |package| + |OMputEndError| |less?| |putColorInfo| |nextsousResultant2| + |mainDefiningPolynomial| |identitySquareMatrix| |readInt32!| + |conditionP| |irForm| |ref| |s18dcf| |internalDecompose| |setPosition| + |nodes| |generalInfiniteProduct| |iifact| |tubePoints| |forLoop| + |stripCommentsAndBlanks| |factorsOfCyclicGroupSize| |assert| + |relerror| |perfectSquare?| |setchildren!| |viewDefaults| |coleman| + |symmetricSquare| |perspective| |bandedHessian| |OMsupportsCD?| + |numFunEvals3D| |taylorIfCan| |tubeRadius| |evaluateInverse| + |argumentListOf| |schwerpunkt| |factorial| |readable?| |littleEndian| + |digits| |complexNumericIfCan| |viewZoomDefault| |enterInCache| + |scalarMatrix| |setPrologue!| |c06frf| |e02aef| |failed?| |polar| + |rightTrace| |sum| |asechIfCan| |makeViewport2D| |OMopenFile| + |algebraicVariables| |e02bcf| |resultantReduitEuclidean| |cSec| + |minColIndex| |rootRadius| |internalIntegrate| |infix?| + |rightCharacteristicPolynomial| |numerator| |complexZeros| |psolve| + |putGraph| |lazyVariations| |countRealRoots| |mask| |sinhIfCan| + |initTable!| |elaborate| |predicates| |belong?| |irVar| |setMinPoints| + |pdf2df| |jvmFieldrefConstantTag| |push| |e01sbf| |btwFact| + |maximumExponent| |varList| |integralMatrix| |ramifiedAtInfinity?| + |addPointLast| |symbolTable| |setAdaptive| |monomial?| |tubePlot| + |generalizedContinuumHypothesisAssumed| |comment| |makeUnit| + |coerceImages| |meshPar1Var| |inputBinaryFile| |leastMonomial| + |triangulate| |createNormalPoly| |clearFortranOutputStack| + |defineProperty| |e| |quasiMonic?| |initials| |squareFreePrim| + |multiple?| |redmat| |style| |randomR| |extensionDegree| |e02ahf| + |shuffle| |stoseInvertibleSetreg| |point?| |meatAxe| |badValues| + |lprop| |subMatrix| |reset| |e02zaf| |cycleRagits| |rootPower| + |partialDenominators| |subst| |satisfy?| |numberOfComputedEntries| + |compose| |beauzamyBound| |sylvesterSequence| |dihedral| |s13acf| + |singularitiesOf| |rk4a| |rischDE| |findBinding| |branchPoint?| + |capacity| |write| |simpson| |dualSignature| |exptMod| + |ellipticCylindrical| |say| |checkRur| |operators| |explimitedint| + |union| |mapSolve| |getOperands| |generic?| |save| + |createLowComplexityNormalBasis| |qualifier| |systemSizeIF| |polyPart| + |innerEigenvectors| |inc| |exp| |expint| F2FG |selectFiniteRoutines| + |cTan| |discriminantEuclidean| |tanQ| |getMultiplicationTable| |redPo| + |arg1| |one?| |An| |objects| |frobenius| |rCoord| |flagFactor| |arg2| + |setMaxPoints| |lagrange| |iidsum| |sech2cosh| |commaSeparate| |base| + |color| |monic?| |cPower| |basis| |cscIfCan| |moebiusMu| + |commonDenominator| |droot| |minimumExponent| |exQuo| + |lastSubResultantEuclidean| |nthCoef| |f07aef| |conditions| |cache| + |cap| |complexEigenvectors| |f02ajf| |unitCanonical| |reduceLODE| + |LazardQuotient2| |match| |modifyPointData| |innerint| + |removeRedundantFactors| |associatedSystem| |shift| |irreducible?| + |invmultisect| |realEigenvectors| |center| |mapExponents| |call| + |SturmHabichtSequence| |s14aaf| |aspFilename| |contains?| |optional?| + |symmetricDifference| |space| |gensym| |realSolve| |generalPosition| + |setUnion| |deleteProperty!| |quadraticNorm| |content| + |listRepresentation| |seed| |monicDivide| |setFieldInfo| |plot| + |patternMatchTimes| |commutator| |asinIfCan| |checkForZero| + |jvmPrivate| |halfExtendedSubResultantGcd2| |binary| |times!| + |legendre| |shade| |attributeData| |e04ucf| |isEquiv| |typeForm| + |rightZero| |child| |lexGroebner| |birth| |leftExactQuotient| |size| + |usingTable?| |factorSquareFreeByRecursion| + |rewriteIdealWithQuasiMonicGenerators| |singularAtInfinity?| + |nextPrimitivePoly| |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)) +(((-34) . T) ((-107 #0=(-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T) ((-102) -2172 (|has| |#2| (-1133)) (|has| |#2| (-102)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-872)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-102))) ((-632 (-888)) -2172 (|has| |#2| (-1133)) (|has| |#2| (-632 (-888))) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-872)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-632 (-888)))) ((-153 #1=(-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T) ((-633 (-549)) |has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-633 (-549))) ((-233 #0#) . T) ((-242 #0#) . T) ((-298 #2=(-560) #1#) . T) ((-298 (-1266 (-560)) $) . T) ((-298 |#1| |#2|) . T) ((-300 #2# #1#) . T) ((-300 |#1| |#2|) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-421 (-560))) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-38 |#1|) . T) ((-38 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-35) |has| |#1| (-1235)) ((-95) |has| |#1| (-1235)) ((-102) . T) ((-111 #0# #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-133) . T) ((-147) -2172 (|has| |#1| (-363)) (|has| |#1| (-147))) ((-149) |has| |#1| (-149)) ((-635 #0#) -2172 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-363)) (|has| |#1| (-376))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-632 (-888)) . T) ((-175) . T) ((-633 (-171 (-229))) |has| |#1| (-1052)) ((-633 (-171 (-391))) |has| |#1| (-1052)) ((-633 (-549)) |has| |#1| (-633 (-549))) ((-633 (-916 (-391))) |has| |#1| (-633 (-916 (-391)))) ((-633 (-916 (-560))) |has| |#1| (-633 (-916 (-560)))) ((-633 #1=(-1203 |#1|)) . T) ((-236 $) -2172 (|has| |#1| (-363)) (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) -2172 (|has| |#1| (-363)) (|has| |#1| (-240))) ((-239) -2172 (|has| |#1| (-363)) (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-250) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-296) |has| |#1| (-1235)) ((-298 |#1| $) |has| |#1| (-298 |#1| |#1|)) ((-302) -2172 (|has| |#1| (-571)) (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-319) -2172 (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-321 |#1|) |has| |#1| (-321 |#1|)) ((-376) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-416) |has| |#1| (-363)) ((-381) -2172 (|has| |#1| (-381)) (|has| |#1| (-363))) ((-363) |has| |#1| (-363)) ((-383 |#1| #1#) . T) ((-424 |#1| #1#) . T) ((-351 |#1|) . T) ((-390 |#1|) . T) ((-414 |#1|) . T) ((-426 |#1|) . T) ((-466) -2172 (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-507) |has| |#1| (-1235)) ((-528 (-1209) |#1|) |has| |#1| (-528 (-1209) |#1|)) ((-528 |#1| |#1|) |has| |#1| (-321 |#1|)) ((-571) -2172 (|has| |#1| (-571)) (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-668 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-670 #2=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-662 |#1|) . T) ((-662 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-660 #2#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-739 |#1|) . T) ((-739 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-746 |#1| #1#) . T) ((-748) . T) ((-922 $ #3=(-1209)) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-928 (-1209)) |has| |#1| (-928 (-1209))) ((-930 #3#) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-912 (-391)) |has| |#1| (-912 (-391))) ((-912 (-560)) |has| |#1| (-912 (-560))) ((-910 |#1|) . T) ((-940) -12 (|has| |#1| (-319)) (|has| |#1| (-940))) ((-951) -2172 (|has| |#1| (-363)) (|has| |#1| (-376)) (|has| |#1| (-319))) ((-1034) -12 (|has| |#1| (-1034)) (|has| |#1| (-1235))) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 |#1|) . T) ((-1083 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-1083 |#1|) . T) ((-1083 $) . T) ((-1088 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-1088 |#1|) . T) ((-1088 $) . T) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1184) |has| |#1| (-363)) ((-1235) |has| |#1| (-1235)) ((-1238) |has| |#1| (-1235)) ((-1249) . 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$) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-2624 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) (((-197) (-809)) (T -197)) NIL (-809) -((-2076 (((-114) $ $) NIL T ELT)) (-1702 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 81 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3366 (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 46 T ELT) (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-4244 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-1434 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) +((-2076 (((-114) $ $) NIL T ELT)) (-1402 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 81 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3756 (((-2 (|:| -3756 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 46 T ELT) (((-2 (|:| -3756 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-1591 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-2624 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) (((-198) (-809)) (T -198)) NIL (-809) -((-2076 (((-114) $ $) NIL T ELT)) (-1702 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 63 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3366 (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 36 T ELT) (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-4244 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-1434 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) +((-2076 (((-114) $ $) NIL T ELT)) (-1402 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 63 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3756 (((-2 (|:| -3756 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 36 T ELT) (((-2 (|:| -3756 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-1591 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-2624 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) (((-199) (-809)) (T -199)) NIL (-809) -((-2076 (((-114) $ $) NIL T ELT)) (-1702 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 76 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3366 (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 40 T ELT) (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-4244 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-1434 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) +((-2076 (((-114) $ $) NIL T ELT)) (-1402 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 76 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3756 (((-2 (|:| -3756 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 40 T ELT) (((-2 (|:| -3756 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-1591 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-2624 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) (((-200) (-809)) (T -200)) NIL (-809) -((-2076 (((-114) $ $) NIL T ELT)) (-1702 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 93 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-3366 (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 49 T ELT) (((-2 (|:| -3366 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-4244 (((-1191) $) NIL T ELT)) (-3101 (((-1152) $) NIL T ELT)) (-2375 (((-888) $) NIL T ELT)) (-1434 (((-114) $ $) NIL T ELT)) (-2308 (((-114) $ $) NIL T ELT))) +((-2076 (((-114) $ $) NIL T ELT)) (-1402 (((-1067) (-2 (|:| |var| 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T) ((-102) -2172 (|has| |#2| (-1133)) (|has| |#2| (-1081)) (|has| |#2| (-872)) (|has| |#2| (-817)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-102)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-111 |#2| |#2|) -2172 (|has| |#2| (-1081)) (|has| |#2| (-376)) (|has| |#2| (-175))) ((-133) -2172 (|has| |#2| (-1081)) (|has| |#2| (-817)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-133)) (|has| |#2| (-21))) ((-635 #0=(-421 (-560))) -12 (|has| |#2| (-1070 (-421 (-560)))) (|has| |#2| (-1133))) ((-635 (-560)) -2172 (|has| |#2| (-1081)) (-12 (|has| |#2| (-1070 (-560))) (|has| |#2| (-1133)))) ((-635 |#2|) |has| |#2| (-1133)) ((-632 (-888)) -2172 (|has| |#2| (-1133)) (|has| |#2| (-1081)) (|has| |#2| (-872)) (|has| |#2| (-817)) (|has| |#2| (-748)) (|has| |#2| (-381)) (|has| |#2| (-376)) (|has| |#2| (-175)) (|has| |#2| (-632 (-888))) (|has| |#2| (-133)) (|has| |#2| (-25)) (|has| |#2| (-23)) (|has| |#2| (-21))) ((-632 (-1299 |#2|)) . T) ((-236 $) -2172 (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-240)) (|has| |#2| (-1081)))) ((-234 |#2|) |has| |#2| (-1081)) ((-240) -12 (|has| |#2| (-240)) (|has| |#2| (-1081))) ((-239) -2172 (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-240)) (|has| |#2| (-1081)))) ((-274 |#2|) |has| |#2| (-1081)) ((-298 #1=(-560) |#2|) . T) ((-300 #1# |#2|) . T) ((-321 |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))) ((-381) |has| |#2| (-381)) ((-390 |#2|) |has| |#2| (-1081)) ((-426 |#2|) |has| |#2| (-1133)) ((-503 |#2|) . T) ((-618 #1# |#2|) . 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T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2171 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 |#2|) . T) ((-635 |#3|) . T) ((-635 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-632 (-888)) . T) ((-175) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| |#1| (-633 (-549))) (|has| |#3| (-633 (-549)))) ((-633 (-916 (-391))) -12 (|has| |#1| (-633 (-916 (-391)))) (|has| |#3| (-633 (-916 (-391))))) ((-633 (-916 (-560))) -12 (|has| |#1| (-633 (-916 (-560)))) (|has| |#3| (-633 (-916 (-560))))) ((-236 $) -2171 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) |has| |#1| (-240)) ((-239) -2171 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-302) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-321 $) . T) ((-338 |#1| |#4|) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2171 (|has| |#1| (-940)) (|has| |#1| (-466))) ((-528 |#2| |#1|) |has| |#1| (-240)) ((-528 |#2| $) |has| |#1| (-240)) ((-528 |#3| |#1|) . T) ((-528 |#3| $) . T) ((-528 $ $) . T) ((-571) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 #1=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-660 #1#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-748) . T) ((-922 $ #2=(-1209)) -2171 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-922 $ |#3|) . T) ((-928 (-1209)) |has| |#1| (-928 (-1209))) ((-928 |#3|) . T) ((-930 #2#) -2171 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-930 |#3|) . T) ((-912 (-391)) -12 (|has| |#1| (-912 (-391))) (|has| |#3| (-912 (-391)))) ((-912 (-560)) -12 (|has| |#1| (-912 (-560))) (|has| |#3| (-912 (-560)))) ((-980 |#1| |#4| |#3|) . T) ((-940) |has| |#1| (-940)) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 |#1|) . T) ((-1070 |#2|) . T) ((-1070 |#3|) . T) ((-1083 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1083 |#1|) . T) ((-1083 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1088 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1088 |#1|) . T) ((-1088 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . T) ((-1254) |has| |#1| (-940))) -((-2076 (((-114) $ $) 22 (|has| |#1| (-102)) ELT)) (-1900 ((|#1| $) 61 T ELT)) (-2016 ((|#1| $) 51 T ELT)) (-2972 (((-114) $ (-793)) 8 T ELT)) (-4216 (($) 7 T CONST)) (-2930 (($ $) 67 T ELT)) (-2431 (($ $) 55 T ELT)) (-3645 ((|#1| |#1| $) 53 T ELT)) (-2269 ((|#1| $) 52 T ELT)) (-2241 (((-663 |#1|) $) 33 (|has| $ (-6 -4510)) ELT)) (-2144 (((-114) $ (-793)) 9 T ELT)) (-1783 (((-663 |#1|) $) 32 (|has| $ (-6 -4510)) ELT)) (-3923 (((-114) |#1| $) 30 (-12 (|has| |#1| (-1133)) (|has| $ (-6 -4510))) ELT)) (-3728 (($ (-1 |#1| |#1|) $) 37 (|has| $ (-6 -4511)) ELT)) (-1362 (($ (-1 |#1| |#1|) $) 38 T ELT)) (-3340 (((-114) $ (-793)) 10 T ELT)) (-3297 (((-793) $) 68 T ELT)) (-4244 (((-1191) $) 25 (|has| |#1| (-1133)) ELT)) (-1803 ((|#1| $) 46 T ELT)) (-2348 ((|#1| |#1| $) 59 T ELT)) (-3158 ((|#1| |#1| $) 58 T ELT)) (-1940 (($ |#1| $) 47 T ELT)) (-2839 (((-793) $) 62 T ELT)) (-3101 (((-1152) $) 24 (|has| |#1| (-1133)) ELT)) (-4296 ((|#1| $) 69 T ELT)) (-4106 ((|#1| $) 57 T ELT)) (-3077 ((|#1| $) 56 T ELT)) (-3970 ((|#1| $) 48 T ELT)) (-2780 (((-114) (-1 (-114) |#1|) $) 35 (|has| $ (-6 -4510)) ELT)) (-3897 (($ $ (-663 (-305 |#1|))) 29 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT) (($ $ (-305 |#1|)) 28 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT) (($ $ |#1| |#1|) 27 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT) (($ $ (-663 |#1|) (-663 |#1|)) 26 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT)) (-4348 (((-114) $ $) 14 T ELT)) (-2042 ((|#1| |#1| $) 65 T ELT)) (-3641 (((-114) $) 11 T ELT)) (-2608 (($) 12 T ELT)) (-2510 ((|#1| $) 66 T ELT)) (-4131 (($) 64 T ELT) (($ (-663 |#1|)) 63 T ELT)) (-1620 (((-793) $) 50 T ELT)) (-3109 (((-793) (-1 (-114) |#1|) $) 34 (|has| $ (-6 -4510)) ELT) (((-793) |#1| $) 31 (-12 (|has| |#1| (-1133)) (|has| $ (-6 -4510))) ELT)) (-2577 (($ $) 13 T ELT)) (-2375 (((-888) $) 20 (|has| |#1| (-632 (-888))) ELT)) (-4024 ((|#1| $) 60 T ELT)) (-1434 (((-114) $ $) 23 (|has| |#1| (-102)) ELT)) (-2356 (($ (-663 |#1|)) 49 T ELT)) (-3716 ((|#1| $) 70 T ELT)) (-1548 (((-114) (-1 (-114) |#1|) $) 36 (|has| $ (-6 -4510)) ELT)) (-2308 (((-114) $ $) 21 (|has| |#1| (-102)) ELT)) (-2086 (((-793) $) 6 (|has| $ (-6 -4510)) ELT))) +((-4197 (*1 *2 *3) (-12 (-4 *4 (-1081)) (-4 *3 (-872)) (-4 *5 (-277 *3)) (-4 *6 (-817)) (-5 *2 (-1 *1 (-793))) (-4 *1 (-262 *4 *3 *5 *6)))) (-1855 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-663 *4)))) (-3509 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1081)) (-4 *3 (-872)) (-4 *5 (-277 *3)) (-4 *6 (-817)) (-5 *2 (-793)))) (-3509 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-793)))) (-4090 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1081)) (-4 *3 (-872)) (-4 *5 (-277 *3)) (-4 *6 (-817)) (-5 *2 (-793)))) (-1713 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-663 (-793))))) (-3836 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-793)))) (-1713 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1081)) (-4 *3 (-872)) (-4 *5 (-277 *3)) (-4 *6 (-817)) (-5 *2 (-663 (-793))))) (-3836 (*1 *2 *1 *3) (-12 (-4 *1 (-262 *4 *3 *5 *6)) (-4 *4 (-1081)) (-4 *3 (-872)) (-4 *5 (-277 *3)) (-4 *6 (-817)) (-5 *2 (-793)))) (-1612 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-114)))) (-4225 (*1 *2 *1) (-12 (-4 *1 (-262 *3 *4 *2 *5)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-817)) (-4 *2 (-277 *4)))) (-2836 (*1 *1 *1) (-12 (-4 *1 (-262 *2 *3 *4 *5)) (-4 *2 (-1081)) (-4 *3 (-872)) (-4 *4 (-277 *3)) (-4 *5 (-817)))) (-2281 (*1 *1 *1) (-12 (-4 *1 (-262 *2 *3 *4 *5)) (-4 *2 (-1081)) (-4 *3 (-872)) (-4 *4 (-277 *3)) (-4 *5 (-817)))) (-4197 (*1 *2 *1) (-12 (-4 *3 (-240)) (-4 *3 (-1081)) (-4 *4 (-872)) (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-1 *1 (-793))) (-4 *1 (-262 *3 *4 *5 *6))))) +(-13 (-980 |t#1| |t#4| |t#3|) (-234 |t#1|) (-1070 |t#2|) (-10 -8 (-15 -4197 ((-1 $ (-793)) |t#2|)) (-15 -1855 ((-663 |t#2|) $)) (-15 -3509 ((-793) $ |t#2|)) (-15 -3509 ((-793) $)) (-15 -4090 ((-793) $ |t#2|)) (-15 -1713 ((-663 (-793)) $)) (-15 -3836 ((-793) $)) (-15 -1713 ((-663 (-793)) $ |t#2|)) (-15 -3836 ((-793) $ |t#2|)) (-15 -1612 ((-114) $)) (-15 -4225 (|t#3| $)) (-15 -2836 ($ $)) (-15 -2281 ($ $)) (IF (|has| |t#1| (-240)) (PROGN (-6 (-528 |t#2| |t#1|)) (-6 (-528 |t#2| $)) (-6 (-321 $)) (-15 -4197 ((-1 $ (-793)) $))) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-47 |#1| |#4|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2172 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 |#2|) . T) ((-635 |#3|) . T) ((-635 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-632 (-888)) . T) ((-175) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| |#1| (-633 (-549))) (|has| |#3| (-633 (-549)))) ((-633 (-916 (-391))) -12 (|has| |#1| (-633 (-916 (-391)))) (|has| |#3| (-633 (-916 (-391))))) ((-633 (-916 (-560))) -12 (|has| |#1| (-633 (-916 (-560)))) (|has| |#3| (-633 (-916 (-560))))) ((-236 $) -2172 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) |has| |#1| (-240)) ((-239) -2172 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-302) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-321 $) . T) ((-338 |#1| |#4|) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2172 (|has| |#1| (-940)) (|has| |#1| (-466))) ((-528 |#2| |#1|) |has| |#1| (-240)) ((-528 |#2| $) |has| |#1| (-240)) ((-528 |#3| |#1|) . T) ((-528 |#3| $) . T) ((-528 $ $) . T) ((-571) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 #1=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-660 #1#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-748) . T) ((-922 $ #2=(-1209)) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-922 $ |#3|) . T) ((-928 (-1209)) |has| |#1| (-928 (-1209))) ((-928 |#3|) . T) ((-930 #2#) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-930 |#3|) . T) ((-912 (-391)) -12 (|has| |#1| (-912 (-391))) (|has| |#3| (-912 (-391)))) ((-912 (-560)) -12 (|has| |#1| (-912 (-560))) (|has| |#3| (-912 (-560)))) ((-980 |#1| |#4| |#3|) . T) ((-940) |has| |#1| (-940)) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 |#1|) . T) ((-1070 |#2|) . T) ((-1070 |#3|) . T) ((-1083 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1083 |#1|) . T) ((-1083 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1088 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1088 |#1|) . T) ((-1088 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . T) ((-1254) |has| |#1| (-940))) +((-2076 (((-114) $ $) 22 (|has| |#1| (-102)) ELT)) (-2520 ((|#1| $) 61 T ELT)) (-2016 ((|#1| $) 51 T ELT)) (-4074 (((-114) $ (-793)) 8 T ELT)) (-3102 (($) 7 T CONST)) (-1660 (($ $) 67 T ELT)) (-1629 (($ $) 55 T ELT)) (-3565 ((|#1| |#1| $) 53 T ELT)) (-1935 ((|#1| $) 52 T ELT)) (-2241 (((-663 |#1|) $) 33 (|has| $ (-6 -4510)) ELT)) (-2974 (((-114) $ (-793)) 9 T ELT)) (-3122 (((-663 |#1|) $) 32 (|has| $ (-6 -4510)) ELT)) (-2785 (((-114) |#1| $) 30 (-12 (|has| |#1| (-1133)) (|has| $ (-6 -4510))) ELT)) (-3728 (($ (-1 |#1| |#1|) $) 37 (|has| $ (-6 -4511)) ELT)) (-1362 (($ (-1 |#1| |#1|) $) 38 T ELT)) (-4234 (((-114) $ (-793)) 10 T ELT)) (-3297 (((-793) $) 68 T ELT)) (-1591 (((-1191) $) 25 (|has| |#1| (-1133)) ELT)) (-2705 ((|#1| $) 46 T ELT)) (-3006 ((|#1| |#1| $) 59 T ELT)) (-3719 ((|#1| |#1| $) 58 T ELT)) (-2773 (($ |#1| $) 47 T ELT)) (-2840 (((-793) $) 62 T ELT)) (-3101 (((-1152) $) 24 (|has| |#1| (-1133)) ELT)) (-2374 ((|#1| $) 69 T ELT)) (-3848 ((|#1| $) 57 T ELT)) (-1465 ((|#1| $) 56 T ELT)) (-2061 ((|#1| $) 48 T ELT)) (-2633 (((-114) (-1 (-114) |#1|) $) 35 (|has| $ (-6 -4510)) ELT)) (-3897 (($ $ (-663 (-305 |#1|))) 29 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT) (($ $ (-305 |#1|)) 28 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT) (($ $ |#1| |#1|) 27 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT) (($ $ (-663 |#1|) (-663 |#1|)) 26 (-12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ELT)) (-3169 (((-114) $ $) 14 T ELT)) (-3742 ((|#1| |#1| $) 65 T ELT)) (-2232 (((-114) $) 11 T ELT)) (-3812 (($) 12 T ELT)) (-3248 ((|#1| $) 66 T ELT)) (-1514 (($) 64 T ELT) (($ (-663 |#1|)) 63 T ELT)) (-1620 (((-793) $) 50 T ELT)) (-3113 (((-793) (-1 (-114) |#1|) $) 34 (|has| $ (-6 -4510)) ELT) (((-793) |#1| $) 31 (-12 (|has| |#1| (-1133)) (|has| $ (-6 -4510))) ELT)) (-2578 (($ $) 13 T ELT)) (-2375 (((-888) $) 20 (|has| |#1| (-632 (-888))) ELT)) (-4015 ((|#1| $) 60 T ELT)) (-2624 (((-114) $ $) 23 (|has| |#1| (-102)) ELT)) (-1543 (($ (-663 |#1|)) 49 T ELT)) (-2219 ((|#1| $) 70 T ELT)) (-2541 (((-114) (-1 (-114) |#1|) $) 36 (|has| $ (-6 -4510)) ELT)) (-2308 (((-114) $ $) 21 (|has| |#1| (-102)) ELT)) (-2086 (((-793) $) 6 (|has| $ (-6 -4510)) ELT))) (((-263 |#1|) (-142) (-1249)) (T -263)) -((-4131 (*1 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-4131 (*1 *1 *2) (-12 (-5 *2 (-663 *3)) (-4 *3 (-1249)) (-4 *1 (-263 *3)))) (-2839 (*1 *2 *1) (-12 (-4 *1 (-263 *3)) (-4 *3 (-1249)) (-5 *2 (-793)))) (-1900 (*1 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-4024 (*1 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-2348 (*1 *2 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-3158 (*1 *2 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-4106 (*1 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-3077 (*1 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))) (-2431 (*1 *1 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249))))) -(-13 (-1153 |t#1|) (-1027 |t#1|) (-10 -8 (-15 -4131 ($)) (-15 -4131 ($ (-663 |t#1|))) (-15 -2839 ((-793) $)) (-15 -1900 (|t#1| $)) (-15 -4024 (|t#1| $)) (-15 -2348 (|t#1| |t#1| $)) (-15 -3158 (|t#1| |t#1| $)) (-15 -4106 (|t#1| $)) (-15 -3077 (|t#1| $)) (-15 -2431 ($ $)))) -(((-34) . T) ((-107 |#1|) . T) ((-102) -2171 (|has| |#1| (-1133)) (|has| |#1| (-102))) ((-632 (-888)) -2171 (|has| |#1| (-1133)) (|has| |#1| (-632 (-888)))) ((-321 |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((-503 |#1|) . T) ((-528 |#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((-1027 |#1|) . T) ((-1133) |has| |#1| (-1133)) ((-1153 |#1|) . T) ((-1249) . 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T) ((-102) -2172 (|has| |#1| (-1133)) (|has| |#1| (-102))) ((-632 (-888)) -2172 (|has| |#1| (-1133)) (|has| |#1| (-632 (-888)))) ((-321 |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((-503 |#1|) . T) ((-528 |#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((-1027 |#1|) . T) ((-1133) |has| |#1| (-1133)) ((-1153 |#1|) . T) ((-1249) . 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T)) ((** (($ $ $) 10 T ELT))) (((-295 |#1|) (-10 -8 (-15 ** (|#1| |#1| |#1|))) (-296)) (T -295)) NIL @@ -1161,10 +1161,10 @@ NIL (((-296) (-142)) (T -296)) ((** (*1 *1 *1 *1) (-4 *1 (-296))) (-4391 (*1 *1 *1) (-4 *1 (-296))) (-1760 (*1 *1 *1) (-4 *1 (-296)))) (-13 (-10 -8 (-15 -1760 ($ $)) (-15 -4391 ($ $)) (-15 ** ($ $ $)))) -((-3237 (((-663 (-1187 |#1|)) (-1187 |#1|) |#1|) 35 T ELT)) (-3227 ((|#2| |#2| |#1|) 39 T ELT)) (-4346 ((|#2| |#2| |#1|) 41 T ELT)) (-2095 ((|#2| |#2| |#1|) 40 T ELT))) -(((-297 |#1| |#2|) (-10 -7 (-15 -3227 (|#2| |#2| |#1|)) (-15 -2095 (|#2| |#2| |#1|)) (-15 -4346 (|#2| |#2| |#1|)) (-15 -3237 ((-663 (-1187 |#1|)) (-1187 |#1|) |#1|))) (-376) (-1292 |#1|)) (T -297)) -((-3237 (*1 *2 *3 *4) (-12 (-4 *4 (-376)) (-5 *2 (-663 (-1187 *4))) (-5 *1 (-297 *4 *5)) (-5 *3 (-1187 *4)) (-4 *5 (-1292 *4)))) (-4346 (*1 *2 *2 *3) (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3)))) (-2095 (*1 *2 *2 *3) (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3)))) (-3227 (*1 *2 *2 *3) (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3))))) -(-10 -7 (-15 -3227 (|#2| |#2| |#1|)) (-15 -2095 (|#2| |#2| |#1|)) (-15 -4346 (|#2| |#2| |#1|)) (-15 -3237 ((-663 (-1187 |#1|)) (-1187 |#1|) |#1|))) +((-2482 (((-663 (-1187 |#1|)) (-1187 |#1|) |#1|) 35 T ELT)) (-3228 ((|#2| |#2| |#1|) 39 T ELT)) (-2970 ((|#2| |#2| |#1|) 41 T ELT)) (-2092 ((|#2| |#2| |#1|) 40 T ELT))) +(((-297 |#1| |#2|) (-10 -7 (-15 -3228 (|#2| |#2| |#1|)) (-15 -2092 (|#2| |#2| |#1|)) (-15 -2970 (|#2| |#2| |#1|)) (-15 -2482 ((-663 (-1187 |#1|)) (-1187 |#1|) |#1|))) (-376) (-1292 |#1|)) (T -297)) +((-2482 (*1 *2 *3 *4) (-12 (-4 *4 (-376)) (-5 *2 (-663 (-1187 *4))) (-5 *1 (-297 *4 *5)) (-5 *3 (-1187 *4)) (-4 *5 (-1292 *4)))) (-2970 (*1 *2 *2 *3) (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3)))) (-2092 (*1 *2 *2 *3) (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3)))) (-3228 (*1 *2 *2 *3) (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3))))) +(-10 -7 (-15 -3228 (|#2| |#2| |#1|)) (-15 -2092 (|#2| |#2| |#1|)) (-15 -2970 (|#2| |#2| |#1|)) (-15 -2482 ((-663 (-1187 |#1|)) (-1187 |#1|) |#1|))) ((-2481 ((|#2| $ |#1|) 6 T ELT))) (((-298 |#1| |#2|) (-142) (-1249) (-1249)) (T -298)) ((-2481 (*1 *2 *1 *3) (-12 (-4 *1 (-298 *3 *2)) (-4 *3 (-1249)) (-4 *2 (-1249))))) @@ -1179,32 +1179,32 @@ NIL ((-2481 (*1 *2 *1 *3 *2) (-12 (-4 *1 (-300 *3 *2)) (-4 *3 (-1133)) (-4 *2 (-1249)))) (-3664 (*1 *2 *1 *3) (-12 (-4 *1 (-300 *3 *2)) (-4 *3 (-1133)) (-4 *2 (-1249)))) (-2556 (*1 *2 *1 *3 *2) (-12 (|has| *1 (-6 -4511)) (-4 *1 (-300 *3 *2)) (-4 *3 (-1133)) (-4 *2 (-1249)))) (-3740 (*1 *2 *1 *3 *2) (-12 (|has| *1 (-6 -4511)) (-4 *1 (-300 *3 *2)) (-4 *3 (-1133)) (-4 *2 (-1249))))) (-13 (-298 |t#1| |t#2|) (-10 -8 (-15 -2481 (|t#2| $ |t#1| |t#2|)) (-15 -3664 (|t#2| $ |t#1|)) (IF (|has| $ (-6 -4511)) (PROGN (-15 -2556 (|t#2| $ |t#1| |t#2|)) (-15 -3740 (|t#2| $ |t#1| |t#2|))) |%noBranch|))) (((-298 |#1| |#2|) . 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T) ((-111 #0# #0#) |has| |#1| (-571)) ((-111 |#1| |#1|) |has| |#1| (-175)) ((-111 $ $) |has| |#1| (-571)) ((-133) -2171 (|has| |#1| (-1081)) (|has| |#1| (-571)) (|has| |#1| (-175)) (|has| |#1| (-149)) (|has| |#1| (-147)) (|has| |#1| (-21))) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2171 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-571))) ((-635 #1=(-421 (-976 |#1|))) |has| |#1| (-571)) ((-635 (-560)) -2171 (|has| |#1| (-1081)) (|has| |#1| (-1070 (-560))) (|has| |#1| (-571)) (|has| |#1| (-175)) (|has| |#1| (-149)) (|has| |#1| (-147))) ((-635 #2=(-630 $)) . T) ((-635 #3=(-976 |#1|)) |has| |#1| (-1081)) ((-635 #4=(-1209)) . T) ((-635 |#1|) . T) ((-635 $) |has| |#1| (-571)) ((-632 (-888)) . T) ((-175) |has| |#1| (-571)) ((-633 (-549)) |has| |#1| (-633 (-549))) ((-633 (-916 (-391))) |has| |#1| (-633 (-916 (-391)))) ((-633 (-916 (-560))) |has| |#1| (-633 (-916 (-560)))) ((-250) |has| |#1| (-571)) ((-302) |has| |#1| (-571)) ((-319) |has| |#1| (-571)) ((-321 $) . T) ((-310) . T) ((-376) |has| |#1| (-571)) ((-390 |#1|) |has| |#1| (-1081)) ((-414 |#1|) . T) ((-426 |#1|) . T) ((-466) |has| |#1| (-571)) ((-487) |has| |#1| (-487)) ((-528 (-630 $) $) . T) ((-528 $ $) . 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T) ((-310) . T) ((-376) |has| |#1| (-571)) ((-390 |#1|) |has| |#1| (-1081)) ((-414 |#1|) . T) ((-426 |#1|) . T) ((-466) |has| |#1| (-571)) ((-487) |has| |#1| (-487)) ((-528 (-630 $) $) . T) ((-528 $ $) . 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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| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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")))) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 38 T ELT)) (-1406 (((-663 (-2 (|:| -3672 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| -1922 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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"))))))) $) 36 T ELT)) (-4179 (((-1305)) 11 T ELT))) +(((-574) (-10 -8 (-15 -2570 ($)) (-15 -4179 ((-1305))) (-15 -2867 ((-663 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| 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|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| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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")))) "failed") (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))))) (-15 -1406 ((-663 (-2 (|:| -3672 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| -1922 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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 -1922 ((-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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")))) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))))))) (T -574)) +((-1922 (*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *2 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-574)))) (-1406 (*1 *2 *1) (-12 (-5 *2 (-663 (-2 (|:| -3672 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| -1922 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity 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|notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") (|:| |bothInfinite| "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))))) (-5 *1 (-574)))) (-2960 (*1 *1 *2) (-12 (-5 *2 (-663 (-2 (|:| -3672 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| -1922 (-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 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(|:| -1922 (-2 (|:| |endPointContinuity| (-3 (|:| |continuous| "Continuous at the end points") (|:| |lowerSingular| "There is a singularity at the lower end point") (|:| |upperSingular| "There is a singularity at the upper end point") (|:| |bothSingular| "There are singularities at both end points") (|:| |notEvaluated| "End point continuity not yet evaluated"))) (|:| |singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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 -2162 ((-3 (-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 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|singularitiesStream| (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) (|:| -2048 (-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")))) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))))) +((-2636 (((-1203 (-421 (-1203 |#2|))) |#2| (-630 |#2|) (-630 |#2|) (-1203 |#2|)) 35 T ELT)) (-4170 (((-3 (-2 (|:| |mainpart| |#2|) (|:| |limitedlogs| (-663 (-2 (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (-630 |#2|) (-630 |#2|) (-663 |#2|) (-630 |#2|) |#2| (-421 (-1203 |#2|))) 105 T ELT) (((-3 (-2 (|:| |mainpart| |#2|) (|:| |limitedlogs| (-663 (-2 (|:| |coeff| |#2|) (|:| |logand| |#2|))))) "failed") |#2| (-630 |#2|) (-630 |#2|) (-663 |#2|) |#2| (-1203 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-421 (-560))) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-38 |#1|) . T) ((-38 $) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-102) . T) ((-111 #0# #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-111 |#1| |#1|) . T) ((-111 $ $) . T) ((-133) . T) ((-147) -2172 (|has| |#1| (-363)) (|has| |#1| (-147))) ((-149) |has| |#1| (-149)) ((-635 #0#) -2172 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-363)) (|has| |#1| (-376))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 $) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-632 (-888)) . T) ((-175) . T) ((-633 |#2|) . T) ((-236 $) -2172 (|has| |#1| (-363)) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (-12 (|has| |#1| (-240)) (|has| |#1| (-376)))) ((-234 |#1|) |has| |#1| (-376)) ((-240) -2172 (|has| |#1| (-363)) (-12 (|has| |#1| (-240)) (|has| |#1| (-376)))) ((-239) -2172 (|has| |#1| (-363)) (-12 (|has| |#1| (-239)) (|has| |#1| (-376))) (-12 (|has| |#1| (-240)) (|has| |#1| (-376)))) ((-274 |#1|) |has| |#1| (-376)) ((-250) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-302) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-319) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-376) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-416) |has| |#1| (-363)) ((-381) -2172 (|has| |#1| (-381)) (|has| |#1| (-363))) ((-363) |has| |#1| (-363)) ((-383 |#1| |#2|) . T) ((-424 |#1| |#2|) . T) ((-390 |#1|) . T) ((-426 |#1|) . 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T) ((-922 $ #2=(-1209)) -2172 (-12 (|has| |#1| (-376)) (|has| |#1| (-930 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#1| (-928 (-1209))))) ((-928 (-1209)) -12 (|has| |#1| (-376)) (|has| |#1| (-928 (-1209)))) ((-930 #2#) -2172 (-12 (|has| |#1| (-376)) (|has| |#1| (-930 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#1| (-928 (-1209))))) ((-951) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 |#1|) . T) ((-1083 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-1083 |#1|) . T) ((-1083 $) . T) ((-1088 #0#) -2172 (|has| |#1| (-363)) (|has| |#1| (-376))) ((-1088 |#1|) . T) ((-1088 $) . T) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1184) |has| |#1| (-363)) ((-1249) . 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T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2172 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-635 |#3|) . T) ((-635 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-632 (-888)) . 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T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) |has| |#1| (-571)) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2172 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) |has| |#1| (-38 (-421 (-560)))) ((-635 (-560)) . T) ((-635 |#1|) |has| |#1| (-175)) ((-635 $) |has| |#1| (-571)) ((-632 (-888)) . T) ((-175) -2172 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-302) |has| |#1| (-571)) ((-571) |has| |#1| (-571)) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 |#1|) . T) ((-670 $) . 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T) ((-528 (-1209) |#1|) |has| |#1| (-528 (-1209) |#1|)) ((-528 |#1| |#1|) |has| |#1| (-321 |#1|)) ((-571) . T) ((-668 #0#) . T) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) . T) ((-670 #2=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) . T) ((-662 |#1|) . T) ((-662 $) . T) ((-660 #2#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) . T) ((-739 |#1|) . T) ((-739 $) . T) ((-748) . 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T) ((-23) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-376)) ((-38 |#1|) . T) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-376)) ((-111 |#1| |#1|) . T) ((-111 $ $) -2171 (|has| |#1| (-376)) (|has| |#1| (-302))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2171 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-376))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-632 (-888)) . T) ((-633 (-549)) |has| |#1| (-633 (-549))) ((-236 $) -2171 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) |has| |#1| (-240)) ((-239) -2171 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-250) |has| |#1| (-376)) ((-298 |#1| $) |has| |#1| (-298 |#1| |#1|)) ((-302) -2171 (|has| |#1| (-376)) (|has| |#1| (-302))) ((-321 |#1|) |has| |#1| (-321 |#1|)) ((-351 |#1|) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-528 (-1209) |#1|) |has| |#1| (-528 (-1209) |#1|)) ((-528 |#1| |#1|) |has| |#1| (-321 |#1|)) ((-668 #0#) |has| |#1| (-376)) ((-668 (-560)) . 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T)) +((-1510 (*1 *1 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-1550 (*1 *2 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-1717 (*1 *2 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-3648 (*1 *2 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-3085 (*1 *2 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-4029 (*1 *1 *2 *2 *2 *2) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-2692 (*1 *2 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))) (-3074 (*1 *2 *1) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)) (-4 *2 (-1092)))) (-2919 (*1 *2 *1) (-12 (-4 *1 (-1030 *3)) (-4 *3 (-175)) (-4 *3 (-559)) (-5 *2 (-114)))) (-2973 (*1 *2 *1) (-12 (-4 *1 (-1030 *3)) (-4 *3 (-175)) (-4 *3 (-559)) (-5 *2 (-421 (-560))))) (-2351 (*1 *2 *1) (|partial| -12 (-4 *1 (-1030 *3)) (-4 *3 (-175)) (-4 *3 (-559)) (-5 *2 (-421 (-560)))))) +(-13 (-38 |t#1|) (-426 |t#1|) (-234 |t#1|) (-351 |t#1|) (-390 |t#1|) (-10 -8 (-15 -1510 ($ $)) (-15 -1550 (|t#1| $)) (-15 -1717 (|t#1| $)) (-15 -3648 (|t#1| $)) (-15 -3085 (|t#1| $)) (-15 -4029 ($ |t#1| |t#1| |t#1| |t#1|)) (-15 -2692 (|t#1| $)) (IF (|has| |t#1| (-302)) (-6 (-302)) |%noBranch|) (IF (|has| |t#1| (-872)) (-6 (-872)) |%noBranch|) (IF (|has| |t#1| (-376)) (-6 (-250)) |%noBranch|) (IF (|has| |t#1| (-633 (-549))) (-6 (-633 (-549))) |%noBranch|) (IF (|has| |t#1| (-149)) (-6 (-149)) |%noBranch|) (IF (|has| |t#1| (-147)) (-6 (-147)) |%noBranch|) (IF (|has| |t#1| (-1092)) (-15 -3074 (|t#1| $)) |%noBranch|) (IF (|has| |t#1| (-559)) (PROGN (-15 -2919 ((-114) $)) (-15 -2973 ((-421 (-560)) $)) (-15 -2351 ((-3 (-421 (-560)) "failed") $))) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-376)) ((-38 |#1|) . T) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-376)) ((-111 |#1| |#1|) . T) ((-111 $ $) -2172 (|has| |#1| (-376)) (|has| |#1| (-302))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) -2172 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-376))) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-632 (-888)) . T) ((-633 (-549)) |has| |#1| (-633 (-549))) ((-236 $) -2172 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-234 |#1|) . T) ((-240) |has| |#1| (-240)) ((-239) -2172 (|has| |#1| (-239)) (|has| |#1| (-240))) ((-274 |#1|) . T) ((-250) |has| |#1| (-376)) ((-298 |#1| $) |has| |#1| (-298 |#1| |#1|)) ((-302) -2172 (|has| |#1| (-376)) (|has| |#1| (-302))) ((-321 |#1|) |has| |#1| (-321 |#1|)) ((-351 |#1|) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-528 (-1209) |#1|) |has| |#1| (-528 (-1209) |#1|)) ((-528 |#1| |#1|) |has| |#1| (-321 |#1|)) ((-668 #0#) |has| |#1| (-376)) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-376)) ((-670 #1=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) |has| |#1| (-376)) ((-662 |#1|) . T) ((-660 #1#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) |has| |#1| (-376)) ((-739 |#1|) . T) ((-748) . T) ((-872) |has| |#1| (-872)) ((-875) |has| |#1| (-872)) ((-922 $ #2=(-1209)) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-928 (-1209)) |has| |#1| (-928 (-1209))) ((-930 #2#) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 |#1|) . T) ((-1083 #0#) |has| |#1| (-376)) ((-1083 |#1|) . T) ((-1083 $) -2172 (|has| |#1| (-376)) (|has| |#1| (-302))) ((-1088 #0#) |has| |#1| (-376)) ((-1088 |#1|) . T) ((-1088 $) -2172 (|has| |#1| (-376)) (|has| |#1| (-302))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . 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T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 #1=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #0#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-660 #1#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #0#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466))) ((-748) . T) ((-922 $ |#3|) . T) ((-928 |#3|) . T) ((-930 |#3|) . T) ((-912 (-391)) -12 (|has| |#1| (-912 (-391))) (|has| |#3| (-912 (-391)))) ((-912 (-560)) -12 (|has| |#1| (-912 (-560))) (|has| |#3| (-912 (-560)))) ((-980 |#1| |#2| |#3|) . T) ((-940) |has| |#1| (-940)) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 |#1|) . T) ((-1070 |#3|) . T) ((-1083 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1083 |#1|) . T) ((-1083 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1088 #0#) |has| |#1| (-38 (-421 (-560)))) ((-1088 |#1|) . T) ((-1088 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . 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T) ((-107 #0=(-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T) ((-102) -2171 (|has| |#2| (-1133)) (|has| |#2| (-102)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-102))) ((-632 (-888)) -2171 (|has| |#2| (-1133)) (|has| |#2| (-632 (-888))) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-632 (-888)))) ((-153 #0#) . T) ((-633 (-549)) |has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-633 (-549))) ((-233 #0#) . T) ((-242 #0#) . T) ((-298 |#1| |#2|) . T) ((-300 |#1| |#2|) . T) ((-321 #0#) -12 (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-321 (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)))) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133))) ((-321 |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))) ((-503 #0#) . T) ((-503 |#2|) . T) ((-618 |#1| |#2|) . T) ((-528 #0# #0#) -12 (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-321 (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)))) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133))) ((-528 |#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))) ((-629 |#1| |#2|) . T) ((-1133) -2171 (|has| |#2| (-1133)) (|has| (-2 (|:| -3672 |#1|) (|:| -1922 |#2|)) (-1133))) ((-1249) . 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T) ((-662 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-739 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . T) ((-922 $ #2=(-1209)) -12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))) ((-928 #2#) -12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))) ((-930 #2#) -12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))) ((-1005 |#1| #0# (-1114)) . T) ((-951) |has| |#1| (-376)) ((-1034) |has| |#1| (-38 (-421 (-560)))) ((-1083 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1083 |#1|) . T) ((-1083 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1088 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1088 |#1|) . T) ((-1088 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1235) |has| |#1| (-38 (-421 (-560)))) ((-1238) |has| |#1| (-38 (-421 (-560)))) ((-1249) . T) ((-1254) |has| |#1| (-376)) ((-1278 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-560)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-38 |#1|) |has| |#1| (-175)) ((-38 |#2|) |has| |#1| (-376)) ((-38 $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-376)) ((-111 $ $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-147))) (|has| |#1| (-147))) ((-149) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-149))) (|has| |#1| (-149))) ((-635 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1209)) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-1209)))) ((-635 |#1|) |has| |#1| (-175)) ((-635 |#2|) . 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T) ((-175) -2171 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-229)) -12 (|has| |#1| (-376)) (|has| |#2| (-1052))) ((-633 (-391)) -12 (|has| |#1| (-376)) (|has| |#2| (-1052))) ((-633 (-549)) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-549)))) ((-633 (-916 (-391))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-916 (-391))))) ((-633 (-916 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-916 (-560))))) ((-236 $) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-234 |#2|) |has| |#1| (-376)) ((-240) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-239) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-274 |#2|) |has| |#1| (-376)) ((-250) |has| |#1| (-376)) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . T) ((-298 |#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) ((-298 $ $) |has| (-560) (-1144)) ((-302) -2171 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-376) |has| |#1| (-376)) ((-351 |#2|) |has| |#1| (-376)) ((-390 |#2|) |has| |#1| (-376)) ((-414 |#2|) |has| |#1| (-376)) ((-466) |has| |#1| (-376)) ((-507) |has| |#1| (-38 (-421 (-560)))) ((-528 (-1209) |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-528 (-1209) |#2|))) ((-528 |#2| |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-571) -2171 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-668 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 |#2|) |has| |#1| (-376)) ((-668 $) . T) ((-670 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-670 #3=(-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-670 |#1|) . T) ((-670 |#2|) |has| |#1| (-376)) ((-670 $) . T) ((-662 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 |#2|) |has| |#1| (-376)) ((-662 $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-660 #3#) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-660 |#2|) |has| |#1| (-376)) ((-739 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 |#2|) |has| |#1| (-376)) ((-739 $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . 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T) ((-951) |has| |#1| (-376)) ((-1023 |#2|) |has| |#1| (-376)) ((-1034) |has| |#1| (-38 (-421 (-560)))) ((-1052) -12 (|has| |#1| (-376)) (|has| |#2| (-1052))) ((-1070 (-421 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-560)))) ((-1070 (-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-560)))) ((-1070 #2#) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-1209)))) ((-1070 |#2|) . T) ((-1083 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1083 |#1|) . T) ((-1083 |#2|) |has| |#1| (-376)) ((-1083 $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1088 #1#) -2171 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1088 |#1|) . T) ((-1088 |#2|) |has| |#1| (-376)) ((-1088 $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1184) -12 (|has| |#1| (-376)) (|has| |#2| (-1184))) ((-1235) |has| |#1| (-38 (-421 (-560)))) ((-1238) |has| |#1| (-38 (-421 (-560)))) ((-1249) . 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T) ((-23) . T) ((-47 |#1| #0=(-560)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-38 |#1|) |has| |#1| (-175)) ((-38 |#2|) |has| |#1| (-376)) ((-38 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-35) |has| |#1| (-38 (-421 (-560)))) ((-95) |has| |#1| (-38 (-421 (-560)))) ((-102) . T) ((-111 #1# #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-111 |#1| |#1|) . T) ((-111 |#2| |#2|) |has| |#1| (-376)) ((-111 $ $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-147))) (|has| |#1| (-147))) ((-149) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-149))) (|has| |#1| (-149))) ((-635 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1209)) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-1209)))) ((-635 |#1|) |has| |#1| (-175)) ((-635 |#2|) . T) ((-635 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-632 (-888)) . T) ((-175) -2172 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-229)) -12 (|has| |#1| (-376)) (|has| |#2| (-1052))) ((-633 (-391)) -12 (|has| |#1| (-376)) (|has| |#2| (-1052))) ((-633 (-549)) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-549)))) ((-633 (-916 (-391))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-916 (-391))))) ((-633 (-916 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-633 (-916 (-560))))) ((-236 $) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-234 |#2|) |has| |#1| (-376)) ((-240) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-239) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-239))) (-12 (|has| |#1| (-376)) (|has| |#2| (-240))) (|has| |#1| (-15 * (|#1| (-560) |#1|)))) ((-274 |#2|) |has| |#1| (-376)) ((-250) |has| |#1| (-376)) ((-296) |has| |#1| (-38 (-421 (-560)))) ((-298 #0# |#1|) . T) ((-298 |#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) ((-298 $ $) |has| (-560) (-1144)) ((-302) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-376) |has| |#1| (-376)) ((-351 |#2|) |has| |#1| (-376)) ((-390 |#2|) |has| |#1| (-376)) ((-414 |#2|) |has| |#1| (-376)) ((-466) |has| |#1| (-376)) ((-507) |has| |#1| (-38 (-421 (-560)))) ((-528 (-1209) |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-528 (-1209) |#2|))) ((-528 |#2| |#2|) -12 (|has| |#1| (-376)) (|has| |#2| (-321 |#2|))) ((-571) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-668 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 |#2|) |has| |#1| (-376)) ((-668 $) . T) ((-670 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-670 #3=(-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-670 |#1|) . T) ((-670 |#2|) |has| |#1| (-376)) ((-670 $) . T) ((-662 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 |#2|) |has| |#1| (-376)) ((-662 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-660 #3#) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-660 |#2|) |has| |#1| (-376)) ((-739 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 |#2|) |has| |#1| (-376)) ((-739 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . T) ((-814) -12 (|has| |#1| (-376)) (|has| |#2| (-844))) ((-816) -12 (|has| |#1| (-376)) (|has| |#2| (-844))) ((-818) -12 (|has| |#1| (-376)) (|has| |#2| (-844))) ((-821) -12 (|has| |#1| (-376)) (|has| |#2| (-844))) ((-844) -12 (|has| |#1| (-376)) (|has| |#2| (-844))) ((-871) -12 (|has| |#1| (-376)) (|has| |#2| (-844))) ((-872) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-872))) (-12 (|has| |#1| (-376)) (|has| |#2| (-844)))) ((-875) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-872))) (-12 (|has| |#1| (-376)) (|has| |#2| (-844)))) ((-922 $ #4=(-1209)) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-930 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-928 (-1209)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209))))) ((-928 (-1209)) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-928 (-1209)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209))))) ((-930 #4#) -2172 (-12 (|has| |#1| (-376)) (|has| |#2| (-930 (-1209)))) (-12 (|has| |#1| (-376)) (|has| |#2| (-928 (-1209)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209))))) ((-912 (-391)) -12 (|has| |#1| (-376)) (|has| |#2| (-912 (-391)))) ((-912 (-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-912 (-560)))) ((-910 |#2|) |has| |#1| (-376)) ((-940) -12 (|has| |#1| (-376)) (|has| |#2| (-940))) ((-1005 |#1| #0# (-1114)) . T) ((-951) |has| |#1| (-376)) ((-1023 |#2|) |has| |#1| (-376)) ((-1034) |has| |#1| (-38 (-421 (-560)))) ((-1052) -12 (|has| |#1| (-376)) (|has| |#2| (-1052))) ((-1070 (-421 (-560))) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-560)))) ((-1070 (-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-560)))) ((-1070 #2#) -12 (|has| |#1| (-376)) (|has| |#2| (-1070 (-1209)))) ((-1070 |#2|) . T) ((-1083 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1083 |#1|) . T) ((-1083 |#2|) |has| |#1| (-376)) ((-1083 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1088 #1#) -2172 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-1088 |#1|) . T) ((-1088 |#2|) |has| |#1| (-376)) ((-1088 $) -2172 (|has| |#1| (-571)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1184) -12 (|has| |#1| (-376)) (|has| |#2| (-1184))) ((-1235) |has| |#1| (-38 (-421 (-560)))) ((-1238) |has| |#1| (-38 (-421 (-560)))) ((-1249) . T) ((-1254) |has| |#1| (-376)) ((-1261 |#1|) . T) ((-1278 |#1| #0#) . 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T) ((-23) . T) ((-47 |#1| #0=(-793)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) -2171 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1114)) . T) ((-635 |#1|) . T) ((-635 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-632 (-888)) . T) ((-175) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| (-1114) (-633 (-549))) (|has| |#1| (-633 (-549)))) ((-633 (-916 (-391))) -12 (|has| (-1114) (-633 (-916 (-391)))) (|has| |#1| (-633 (-916 (-391))))) ((-633 (-916 (-560))) -12 (|has| (-1114) (-633 (-916 (-560)))) (|has| |#1| (-633 (-916 (-560))))) ((-236 $) . T) ((-234 |#1|) . T) ((-240) . T) ((-239) . T) ((-274 |#1|) . T) ((-298 (-421 $) (-421 $)) |has| |#1| (-571)) ((-298 |#1| |#1|) . T) ((-298 $ $) . T) ((-302) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 $) . T) ((-338 |#1| #0#) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2171 (|has| |#1| (-940)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-528 #2# |#1|) . T) ((-528 #2# $) . T) ((-528 $ $) . T) ((-571) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-668 #1#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #1#) |has| |#1| (-38 (-421 (-560)))) ((-670 #3=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #1#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-660 #3#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #1#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-748) . T) ((-922 $ #2#) . T) ((-922 $ #4=(-1209)) -2171 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-928 #2#) . T) ((-928 (-1209)) |has| |#1| (-928 (-1209))) ((-930 #2#) . T) ((-930 #4#) -2171 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-912 (-391)) -12 (|has| (-1114) (-912 (-391))) (|has| |#1| (-912 (-391)))) ((-912 (-560)) -12 (|has| (-1114) (-912 (-560))) (|has| |#1| (-912 (-560)))) ((-980 |#1| #0# #2#) . T) ((-940) |has| |#1| (-940)) ((-951) |has| |#1| (-376)) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 #2#) . T) ((-1070 |#1|) . T) ((-1083 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1083 |#1|) . T) ((-1083 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1088 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1088 |#1|) . T) ((-1088 $) -2171 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1184) |has| |#1| (-1184)) ((-1249) . T) ((-1254) |has| |#1| (-940))) +((-2753 (*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-4 *1 (-1275 *4)) (-4 *4 (-1081)) (-5 *2 (-1299 *4)))) (-1878 (*1 *2 *1) (-12 (-4 *1 (-1275 *3)) (-4 *3 (-1081)) (-5 *2 (-1203 *3)))) (-2216 (*1 *1 *2) (-12 (-5 *2 (-1203 *3)) (-4 *3 (-1081)) (-4 *1 (-1275 *3)))) (-2020 (*1 *1 *1 *2) (-12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))) (-1403 (*1 *1 *1 *2) (|partial| -12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))) (-4463 (*1 *2 *1 *1) (-12 (-4 *3 (-1081)) (-5 *2 (-2 (|:| -2899 *1) (|:| -1803 *1))) (-4 *1 (-1275 *3)))) (-1536 (*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-4 *4 (-1081)) (-5 *2 (-2 (|:| -2899 *1) (|:| -1803 *1))) (-4 *1 (-1275 *4)))) (-4036 (*1 *1 *1 *2) (-12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))) (-1632 (*1 *1 *1 *2) (-12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))) (-2558 (*1 *1 *1 *1) (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)))) (-1929 (*1 *1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))) (-3705 (*1 *2 *1) (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-175)))) (-2289 (*1 *2 *1 *1) (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-175)))) (-2481 (*1 *2 *2 *2) (-12 (-5 *2 (-421 *1)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)) (-4 *3 (-571)))) (-3509 (*1 *2 *1 *1) (-12 (-4 *1 (-1275 *3)) (-4 *3 (-1081)) (-4 *3 (-571)) (-5 *2 (-793)))) (-2590 (*1 *1 *1 *1) (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-571)))) (-3332 (*1 *1 *1 *1) (|partial| -12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-571)))) (-3332 (*1 *2 *2 *1) (|partial| -12 (-5 *2 (-421 *1)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)) (-4 *3 (-571)))) (-4035 (*1 *1 *1 *1) (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-571)))) (-1392 (*1 *2 *1 *1) (-12 (-4 *3 (-571)) (-4 *3 (-1081)) (-5 *2 (-2 (|:| -3858 *3) (|:| -2899 *1) (|:| -1803 *1))) (-4 *1 (-1275 *3)))) (-3810 (*1 *2 *1 *1) (-12 (-4 *3 (-466)) (-4 *3 (-1081)) (-5 *2 (-2 (|:| |primePart| *1) (|:| |commonPart| *1))) (-4 *1 (-1275 *3)))) (-2481 (*1 *2 *3 *2) (-12 (-5 *3 (-421 *1)) (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-376)))) (-3076 (*1 *1 *1) (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-38 (-421 (-560))))))) +(-13 (-980 |t#1| (-793) (-1114)) (-298 |t#1| |t#1|) (-298 $ $) (-240) (-234 |t#1|) (-10 -8 (-15 -2753 ((-1299 |t#1|) $ (-793))) (-15 -1878 ((-1203 |t#1|) $)) (-15 -2216 ($ (-1203 |t#1|))) (-15 -2020 ($ $ (-793))) (-15 -1403 ((-3 $ "failed") $ (-793))) (-15 -4463 ((-2 (|:| -2899 $) (|:| -1803 $)) $ $)) (-15 -1536 ((-2 (|:| -2899 $) (|:| -1803 $)) $ (-793))) (-15 -4036 ($ $ (-793))) (-15 -1632 ($ $ (-793))) (-15 -2558 ($ $ $)) (-15 -1929 ($ $ (-1 |t#1| |t#1|) $)) (IF (|has| |t#1| (-1184)) (-6 (-1184)) |%noBranch|) (IF (|has| |t#1| (-175)) (PROGN (-15 -3705 (|t#1| $)) (-15 -2289 (|t#1| $ $))) |%noBranch|) (IF (|has| |t#1| (-571)) (PROGN (-6 (-298 (-421 $) (-421 $))) (-15 -2481 ((-421 $) (-421 $) (-421 $))) (-15 -3509 ((-793) $ $)) (-15 -2590 ($ $ $)) (-15 -3332 ((-3 $ "failed") $ $)) (-15 -3332 ((-3 (-421 $) "failed") (-421 $) $)) (-15 -4035 ($ $ $)) (-15 -1392 ((-2 (|:| -3858 |t#1|) (|:| -2899 $) (|:| -1803 $)) $ $))) |%noBranch|) (IF (|has| |t#1| (-466)) (-15 -3810 ((-2 (|:| |primePart| $) (|:| |commonPart| $)) $ $)) |%noBranch|) (IF (|has| |t#1| (-376)) (PROGN (-6 (-319)) (-6 -4506) (-15 -2481 (|t#1| (-421 $) |t#1|))) |%noBranch|) (IF (|has| |t#1| (-38 (-421 (-560)))) (-15 -3076 ($ $)) |%noBranch|))) +(((-21) . T) ((-23) . T) ((-47 |#1| #0=(-793)) . T) ((-25) . T) ((-38 #1=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-102) . T) ((-111 #1# #1#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #1#) -2172 (|has| |#1| (-1070 (-421 (-560)))) (|has| |#1| (-38 (-421 (-560))))) ((-635 (-560)) . T) ((-635 #2=(-1114)) . T) ((-635 |#1|) . T) ((-635 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-632 (-888)) . T) ((-175) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-633 (-549)) -12 (|has| (-1114) (-633 (-549))) (|has| |#1| (-633 (-549)))) ((-633 (-916 (-391))) -12 (|has| (-1114) (-633 (-916 (-391)))) (|has| |#1| (-633 (-916 (-391))))) ((-633 (-916 (-560))) -12 (|has| (-1114) (-633 (-916 (-560)))) (|has| |#1| (-633 (-916 (-560))))) ((-236 $) . T) ((-234 |#1|) . T) ((-240) . T) ((-239) . T) ((-274 |#1|) . T) ((-298 (-421 $) (-421 $)) |has| |#1| (-571)) ((-298 |#1| |#1|) . T) ((-298 $ $) . T) ((-302) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-319) |has| |#1| (-376)) ((-321 $) . T) ((-338 |#1| #0#) . T) ((-390 |#1|) . T) ((-426 |#1|) . T) ((-466) -2172 (|has| |#1| (-940)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-528 #2# |#1|) . T) ((-528 #2# $) . T) ((-528 $ $) . T) ((-571) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-668 #1#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #1#) |has| |#1| (-38 (-421 (-560)))) ((-670 #3=(-560)) |has| |#1| (-660 (-560))) ((-670 |#1|) . T) ((-670 $) . T) ((-662 #1#) |has| |#1| (-38 (-421 (-560)))) ((-662 |#1|) |has| |#1| (-175)) ((-662 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-660 #3#) |has| |#1| (-660 (-560))) ((-660 |#1|) . T) ((-739 #1#) |has| |#1| (-38 (-421 (-560)))) ((-739 |#1|) |has| |#1| (-175)) ((-739 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376))) ((-748) . T) ((-922 $ #2#) . T) ((-922 $ #4=(-1209)) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-928 #2#) . T) ((-928 (-1209)) |has| |#1| (-928 (-1209))) ((-930 #2#) . T) ((-930 #4#) -2172 (|has| |#1| (-930 (-1209))) (|has| |#1| (-928 (-1209)))) ((-912 (-391)) -12 (|has| (-1114) (-912 (-391))) (|has| |#1| (-912 (-391)))) ((-912 (-560)) -12 (|has| (-1114) (-912 (-560))) (|has| |#1| (-912 (-560)))) ((-980 |#1| #0# #2#) . T) ((-940) |has| |#1| (-940)) ((-951) |has| |#1| (-376)) ((-1070 (-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((-1070 (-560)) |has| |#1| (-1070 (-560))) ((-1070 #2#) . T) ((-1070 |#1|) . T) ((-1083 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1083 |#1|) . T) ((-1083 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1088 #1#) |has| |#1| (-38 (-421 (-560)))) ((-1088 |#1|) . T) ((-1088 $) -2172 (|has| |#1| (-940)) (|has| |#1| (-571)) (|has| |#1| (-466)) (|has| |#1| (-376)) (|has| |#1| (-175))) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1184) |has| |#1| (-1184)) ((-1249) . 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T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) |has| |#1| (-571)) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2171 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) |has| |#1| (-38 (-421 (-560)))) ((-635 (-560)) . T) ((-635 |#1|) |has| |#1| (-175)) ((-635 $) |has| |#1| (-571)) ((-632 (-888)) . T) ((-175) -2171 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-236 $) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-240) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-239) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-298 |#2| |#1|) . T) ((-298 $ $) |has| |#2| (-1144)) ((-302) |has| |#1| (-571)) ((-571) |has| |#1| (-571)) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 |#1|) . T) ((-670 $) . 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T) ((-23) . T) ((-47 |#1| |#2|) . T) ((-25) . T) ((-38 #0=(-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((-38 |#1|) |has| |#1| (-175)) ((-38 $) |has| |#1| (-571)) ((-102) . T) ((-111 #0# #0#) |has| |#1| (-38 (-421 (-560)))) ((-111 |#1| |#1|) . T) ((-111 $ $) -2172 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 #0#) |has| |#1| (-38 (-421 (-560)))) ((-635 (-560)) . T) ((-635 |#1|) |has| |#1| (-175)) ((-635 $) |has| |#1| (-571)) ((-632 (-888)) . T) ((-175) -2172 (|has| |#1| (-571)) (|has| |#1| (-175))) ((-236 $) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-240) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-239) |has| |#1| (-15 * (|#1| |#2| |#1|))) ((-298 |#2| |#1|) . T) ((-298 $ $) |has| |#2| (-1144)) ((-302) |has| |#1| (-571)) ((-571) |has| |#1| (-571)) ((-668 #0#) |has| |#1| (-38 (-421 (-560)))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 #0#) |has| |#1| (-38 (-421 (-560)))) ((-670 |#1|) . T) ((-670 $) . 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3346725 NIL URAGG (NIL T) -9 NIL 3347448 NIL) (-1287 3338392 3339471 3340594 "URAGG-" 3340599 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1286 3333768 3337027 3337492 "UPXSSING" 3338056 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1285 3326197 3333672 3333744 "UPXSCONS" 3333749 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1284 3314955 3322399 3322461 "UPXSCCA" 3323035 NIL UPXSCCA (NIL T T) -9 NIL 3323268 NIL) (-1283 3314575 3314678 3314852 "UPXSCCA-" 3314857 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1282 3303233 3310402 3310445 "UPXSCAT" 3311093 NIL UPXSCAT (NIL T) -9 NIL 3311702 NIL) (-1281 3302657 3302742 3302921 "UPXS2" 3303148 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1280 3294149 3302039 3302303 "UPXS" 3302451 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1279 3292785 3293056 3293407 "UPSQFREE" 3293892 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1278 3285616 3289051 3289106 "UPSCAT" 3290186 NIL UPSCAT (NIL T T) -9 NIL 3290952 NIL) (-1277 3284772 3285027 3285354 "UPSCAT-" 3285359 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1276 3284393 3284442 3284575 "UPOLYC2" 3284723 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1275 3268541 3277520 3277563 "UPOLYC" 3279664 NIL UPOLYC (NIL T) -9 NIL 3280885 NIL) (-1274 3259410 3262309 3265449 "UPOLYC-" 3265454 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1273 3258731 3258856 3259020 "UPMP" 3259299 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1272 3258278 3258365 3258504 "UPDIVP" 3258644 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1271 3256816 3257095 3257411 "UPDECOMP" 3258027 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1270 3256029 3256159 3256345 "UPCDEN" 3256700 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1269 3255542 3255617 3255766 "UP2" 3255954 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1268 3246138 3255225 3255354 "UP" 3255461 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1267 3245343 3245480 3245685 "UNISEG2" 3245981 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1266 3243696 3244547 3244824 "UNISEG" 3245101 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1265 3242738 3242936 3243162 "UNIFACT" 3243512 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1264 3229469 3242642 3242714 "ULSCONS" 3242719 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1263 3209286 3222549 3222611 "ULSCCAT" 3223249 NIL ULSCCAT (NIL T T) -9 NIL 3223538 NIL) (-1262 3208282 3208581 3208969 "ULSCCAT-" 3208974 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1261 3196737 3203828 3203871 "ULSCAT" 3204734 NIL ULSCAT (NIL T) -9 NIL 3205465 NIL) (-1260 3196161 3196246 3196425 "ULS2" 3196652 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1259 3177992 3195473 3195715 "ULS" 3195977 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1258 3176911 3177611 3177725 "UINT8" 3177836 T UINT8 (NIL) -8 NIL NIL 3177928) (-1257 3175829 3176529 3176643 "UINT64" 3176754 T UINT64 (NIL) -8 NIL NIL 3176846) (-1256 3174747 3175447 3175561 "UINT32" 3175672 T UINT32 (NIL) -8 NIL NIL 3175764) (-1255 3173665 3174365 3174479 "UINT16" 3174590 T UINT16 (NIL) -8 NIL NIL 3174682) (-1254 3171744 3172911 3172941 "UFD" 3173153 T UFD (NIL) -9 NIL 3173267 NIL) (-1253 3171526 3171584 3171679 "UFD-" 3171684 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1252 3170584 3170791 3171007 "UDVO" 3171332 T UDVO (NIL) -7 NIL NIL NIL) (-1251 3168350 3168809 3169280 "UDPO" 3170148 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1250 3168062 3168305 3168336 "TYPEAST" 3168341 T TYPEAST (NIL) -8 NIL NIL NIL) (-1249 3167995 3168000 3168030 "TYPE" 3168035 T TYPE (NIL) -9 NIL NIL NIL) (-1248 3166948 3167168 3167408 "TWOFACT" 3167789 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1247 3165923 3166357 3166592 "TUPLE" 3166748 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1246 3163560 3164133 3164672 "TUBETOOL" 3165406 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1245 3162366 3162607 3162849 "TUBE" 3163353 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1244 3150501 3155123 3155220 "TSETCAT" 3160489 NIL TSETCAT (NIL T T T T) -9 NIL 3162021 NIL) (-1243 3144969 3146833 3148724 "TSETCAT-" 3148729 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1242 3139155 3143941 3144224 "TS" 3144721 NIL TS (NIL T) -8 NIL NIL NIL) (-1241 3133628 3134641 3135570 "TRMANIP" 3138291 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1240 3133057 3133132 3133295 "TRIMAT" 3133560 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1239 3130869 3131160 3131517 "TRIGMNIP" 3132806 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1238 3130353 3130502 3130532 "TRIGCAT" 3130745 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1237 3129998 3130101 3130242 "TRIGCAT-" 3130247 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1236 3126612 3128856 3129137 "TREE" 3129752 NIL TREE (NIL T) -8 NIL NIL NIL) (-1235 3125718 3126414 3126444 "TRANFUN" 3126479 T TRANFUN (NIL) -9 NIL 3126545 NIL) (-1234 3124937 3125188 3125468 "TRANFUN-" 3125473 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1233 3124735 3124773 3124834 "TOPSP" 3124898 T TOPSP (NIL) -7 NIL NIL NIL) (-1232 3124065 3124198 3124352 "TOOLSIGN" 3124616 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1231 3122579 3123242 3123481 "TEXTFILE" 3123848 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1230 3122354 3122391 3122463 "TEX1" 3122542 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1229 3120158 3120807 3121236 "TEX" 3121947 T TEX (NIL) -8 NIL NIL NIL) (-1228 3119794 3119869 3119959 "TEMUTL" 3120090 T TEMUTL (NIL) -7 NIL NIL NIL) (-1227 3117888 3118228 3118553 "TBCMPPK" 3119517 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1226 3109208 3115974 3116030 "TBAGG" 3116430 NIL TBAGG (NIL T T) -9 NIL 3116641 NIL) (-1225 3104092 3105766 3107520 "TBAGG-" 3107525 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1224 3103458 3103583 3103728 "TANEXP" 3103981 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1223 3102909 3103233 3103323 "TALGOP" 3103403 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1222 3102303 3102420 3102558 "TABLEAU" 3102806 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1221 3095317 3102160 3102253 "TABLE" 3102258 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1220 3089847 3091145 3092393 "TABLBUMP" 3094103 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1219 3089057 3089216 3089397 "SYSTEM" 3089688 T SYSTEM (NIL) -8 NIL NIL NIL) (-1218 3085462 3086215 3086998 "SYSSOLP" 3088308 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1217 3085224 3085417 3085448 "SYSPTR" 3085453 T SYSPTR (NIL) -8 NIL NIL NIL) (-1216 3084063 3084755 3084881 "SYSNNI" 3085067 NIL SYSNNI (NIL NIL) -8 NIL NIL 3085159) (-1215 3083270 3083825 3083904 "SYSINT" 3083964 NIL SYSINT (NIL NIL) -8 NIL NIL 3084009) (-1214 3079368 3080548 3081258 "SYNTAX" 3082582 T SYNTAX (NIL) -8 NIL NIL NIL) (-1213 3076448 3077128 3077760 "SYMTAB" 3078758 T SYMTAB (NIL) -8 NIL NIL NIL) (-1212 3071547 3072599 3073582 "SYMS" 3075487 T SYMS (NIL) -8 NIL NIL NIL) (-1211 3068453 3070998 3071231 "SYMPOLY" 3071349 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1210 3067958 3068045 3068168 "SYMFUNC" 3068365 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1209 3063756 3065270 3066083 "SYMBOL" 3067167 T SYMBOL (NIL) -8 NIL NIL NIL) (-1208 3057229 3058984 3060704 "SWITCH" 3062058 T SWITCH (NIL) -8 NIL NIL NIL) (-1207 3049990 3056185 3056479 "SUTS" 3056993 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1206 3041482 3049372 3049636 "SUPXS" 3049784 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1205 3040629 3040768 3040985 "SUPFRACF" 3041350 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1204 3040244 3040309 3040422 "SUP2" 3040564 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1203 3030788 3039862 3039988 "SUP" 3040153 NIL SUP (NIL T) -8 NIL NIL NIL) (-1202 3029212 3029510 3029866 "SUMRF" 3030487 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1201 3028535 3028613 3028805 "SUMFS" 3029133 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1200 3010401 3027847 3028089 "SULS" 3028351 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1199 3009949 3010223 3010293 "SUCHTAST" 3010353 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1198 3009190 3009474 3009614 "SUCH" 3009857 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1197 3002829 3004096 3005055 "SUBSPACE" 3008278 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1196 3002249 3002349 3002513 "SUBRESP" 3002717 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1195 2996260 2997542 2998689 "STTFNC" 3001149 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1194 2989454 2990925 2992236 "STTF" 2994996 NIL STTF (NIL T) -7 NIL NIL NIL) (-1193 2980570 2982636 2984430 "STTAYLOR" 2987695 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1192 2973324 2980434 2980517 "STRTBL" 2980522 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1191 2967721 2973033 2973132 "STRING" 2973247 T STRING (NIL) -8 NIL NIL NIL) (-1190 2967225 2967308 2967452 "STREAM3" 2967638 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1189 2966189 2966390 2966625 "STREAM2" 2967038 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1188 2965871 2965929 2966022 "STREAM1" 2966131 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1187 2957985 2963490 2964101 "STREAM" 2965295 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1186 2956977 2957182 2957413 "STINPROD" 2957801 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1185 2956092 2956466 2956614 "STEPAST" 2956851 T STEPAST (NIL) -8 NIL NIL NIL) (-1184 2955588 2955833 2955863 "STEP" 2955957 T STEP (NIL) -9 NIL 2956028 NIL) (-1183 2948644 2955487 2955564 "STBL" 2955569 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1182 2943194 2947807 2947850 "STAGG" 2948003 NIL STAGG (NIL T) -9 NIL 2948092 NIL) (-1181 2940746 2941498 2942370 "STAGG-" 2942375 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1180 2938718 2940516 2940608 "STACK" 2940689 NIL STACK (NIL T) -8 NIL NIL NIL) (-1179 2938035 2938548 2938578 "SRING" 2938583 T SRING (NIL) -9 NIL 2938603 NIL) (-1178 2930043 2936176 2936632 "SREGSET" 2937665 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1177 2922390 2923837 2925350 "SRDCMPK" 2928649 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1176 2914690 2919749 2919779 "SRAGG" 2921082 T SRAGG (NIL) -9 NIL 2921690 NIL) (-1175 2913641 2913962 2914341 "SRAGG-" 2914346 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1174 2907225 2912588 2913009 "SQMATRIX" 2913267 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1173 2900637 2903943 2904670 "SPLTREE" 2906570 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1172 2896462 2897293 2897939 "SPLNODE" 2900063 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1171 2895437 2895742 2895772 "SPFCAT" 2896216 T SPFCAT (NIL) -9 NIL NIL NIL) (-1170 2894132 2894384 2894648 "SPECOUT" 2895195 T SPECOUT (NIL) -7 NIL NIL NIL) (-1169 2884778 2887096 2887126 "SPADXPT" 2891804 T SPADXPT (NIL) -9 NIL 2893970 NIL) (-1168 2884533 2884579 2884648 "SPADPRSR" 2884731 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1167 2882136 2884488 2884519 "SPADAST" 2884524 T SPADAST (NIL) -8 NIL NIL NIL) (-1166 2873737 2875840 2875883 "SPACEC" 2880256 NIL SPACEC (NIL T) -9 NIL 2882072 NIL) (-1165 2871537 2873669 2873718 "SPACE3" 2873723 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1164 2870269 2870460 2870751 "SORTPAK" 2871342 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1163 2868331 2868664 2869076 "SOLVETRA" 2869933 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1162 2867369 2867603 2867864 "SOLVESER" 2868104 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1161 2862601 2863561 2864556 "SOLVERAD" 2866421 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1160 2858326 2859025 2859754 "SOLVEFOR" 2861968 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1159 2851930 2857674 2857771 "SNTSCAT" 2857776 NIL SNTSCAT (NIL T T T T) -9 NIL 2857846 NIL) (-1158 2845481 2850253 2850644 "SMTS" 2851620 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1157 2839203 2845369 2845446 "SMP" 2845451 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1156 2837332 2837663 2838061 "SMITH" 2838900 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1155 2828857 2833911 2834014 "SMATCAT" 2835365 NIL SMATCAT (NIL NIL T T T) -9 NIL 2835915 NIL) (-1154 2825629 2826620 2827798 "SMATCAT-" 2827803 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1153 2823098 2824837 2824880 "SKAGG" 2825141 NIL SKAGG (NIL T) -9 NIL 2825276 NIL) (-1152 2818618 2822581 2822758 "SINT" 2822910 T SINT (NIL) -8 NIL NIL 2823065) (-1151 2818384 2818428 2818494 "SIMPAN" 2818574 T SIMPAN (NIL) -7 NIL NIL NIL) (-1150 2817204 2817443 2817718 "SIGNRF" 2818143 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1149 2816019 2816188 2816472 "SIGNEF" 2817033 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1148 2815259 2815602 2815726 "SIGAST" 2815917 T SIGAST (NIL) -8 NIL NIL NIL) (-1147 2814484 2814794 2814934 "SIG" 2815141 T SIG (NIL) -8 NIL NIL NIL) (-1146 2812136 2812628 2813134 "SHP" 2814025 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1145 2805460 2812037 2812113 "SHDP" 2812118 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1144 2804971 2805211 2805241 "SGROUP" 2805334 T SGROUP (NIL) -9 NIL 2805396 NIL) (-1143 2804823 2804855 2804928 "SGROUP-" 2804933 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1142 2801542 2802312 2803035 "SGCF" 2804122 T SGCF (NIL) -7 NIL NIL NIL) (-1141 2795244 2800988 2801085 "SFRTCAT" 2801090 NIL SFRTCAT (NIL T T T T) -9 NIL 2801129 NIL) (-1140 2788563 2789683 2790819 "SFRGCD" 2794227 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1139 2781581 2782762 2783948 "SFQCMPK" 2787496 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1138 2781183 2781290 2781401 "SFORT" 2781522 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1137 2780109 2781023 2781144 "SEXOF" 2781149 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1136 2775698 2776605 2776700 "SEXCAT" 2779322 NIL SEXCAT (NIL T T T T T) -9 NIL 2779882 NIL) (-1135 2774613 2775579 2775647 "SEX" 2775652 T SEX (NIL) -8 NIL NIL NIL) (-1134 2772735 2773326 2773631 "SETMN" 2774354 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1133 2772265 2772453 2772483 "SETCAT" 2772600 T SETCAT (NIL) -9 NIL 2772685 NIL) (-1132 2772033 2772097 2772196 "SETCAT-" 2772201 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1131 2768136 2770494 2770537 "SETAGG" 2771407 NIL SETAGG (NIL T) -9 NIL 2771747 NIL) (-1130 2767558 2767710 2767947 "SETAGG-" 2767952 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1129 2764367 2767492 2767540 "SET" 2767545 NIL SET (NIL T) -8 NIL NIL NIL) (-1128 2763750 2764063 2764164 "SEQAST" 2764288 T SEQAST (NIL) -8 NIL NIL NIL) (-1127 2762877 2763243 2763304 "SEGXCAT" 2763590 NIL SEGXCAT (NIL T T) -9 NIL 2763710 NIL) (-1126 2761802 2762070 2762113 "SEGCAT" 2762635 NIL SEGCAT (NIL T) -9 NIL 2762856 NIL) (-1125 2761417 2761482 2761595 "SEGBIND2" 2761737 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1124 2760307 2760780 2760988 "SEGBIND" 2761244 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1123 2759826 2760108 2760185 "SEGAST" 2760252 T SEGAST (NIL) -8 NIL NIL NIL) (-1122 2759035 2759171 2759375 "SEG2" 2759670 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1121 2757951 2758701 2758883 "SEG" 2758888 NIL SEG (NIL T) -8 NIL NIL NIL) (-1120 2757184 2757886 2757933 "SDVAR" 2757938 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1119 2748542 2756954 2757084 "SDPOL" 2757089 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1118 2747111 2747401 2747720 "SCPKG" 2748257 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1117 2746233 2746447 2746639 "SCOPE" 2746941 T SCOPE (NIL) -8 NIL NIL NIL) (-1116 2745429 2745587 2745766 "SCACHE" 2746088 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1115 2745013 2745247 2745277 "SASTCAT" 2745282 T SASTCAT (NIL) -9 NIL 2745295 NIL) (-1114 2744416 2744848 2744924 "SAOS" 2744959 T SAOS (NIL) -8 NIL NIL NIL) (-1113 2743975 2744016 2744189 "SAERFFC" 2744375 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1112 2743562 2743603 2743762 "SAEFACT" 2743934 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1111 2736610 2743459 2743539 "SAE" 2743544 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1110 2734913 2735245 2735646 "RURPK" 2736276 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1109 2733490 2733856 2734161 "RULESET" 2734747 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1108 2733060 2733284 2733367 "RULECOLD" 2733442 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1107 2730175 2730813 2731271 "RULE" 2732741 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1106 2729959 2729993 2730064 "RTVALUE" 2730126 T RTVALUE (NIL) -8 NIL NIL NIL) (-1105 2729370 2729676 2729770 "RSTRCAST" 2729887 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1104 2724140 2725013 2725933 "RSETGCD" 2728569 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1103 2712704 2718448 2718545 "RSETCAT" 2722664 NIL RSETCAT (NIL T T T T) -9 NIL 2723761 NIL) (-1102 2710523 2711170 2711994 "RSETCAT-" 2711999 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1101 2702831 2704285 2705805 "RSDCMPK" 2709122 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1100 2700700 2701263 2701337 "RRCC" 2702423 NIL RRCC (NIL T T) -9 NIL 2702767 NIL) (-1099 2700021 2700225 2700504 "RRCC-" 2700509 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1098 2699404 2699717 2699818 "RPTAST" 2699942 T RPTAST (NIL) -8 NIL NIL NIL) (-1097 2671790 2682516 2682583 "RPOLCAT" 2693249 NIL RPOLCAT (NIL T T T) -9 NIL 2696409 NIL) (-1096 2662760 2665628 2668750 "RPOLCAT-" 2668755 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1095 2653213 2660971 2661453 "ROUTINE" 2662300 T ROUTINE (NIL) -8 NIL NIL NIL) (-1094 2649276 2652839 2652979 "ROMAN" 2653095 T ROMAN (NIL) -8 NIL NIL NIL) (-1093 2647388 2648136 2648396 "ROIRC" 2649081 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1092 2643161 2645930 2645960 "RNS" 2646229 T RNS (NIL) -9 NIL 2646485 NIL) (-1091 2641568 2642053 2642587 "RNS-" 2642662 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1090 2640529 2640933 2641135 "RNGBIND" 2641419 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1089 2639822 2640326 2640356 "RNG" 2640361 T RNG (NIL) -9 NIL 2640382 NIL) (-1088 2639117 2639595 2639638 "RMODULE" 2639643 NIL RMODULE (NIL T) -9 NIL 2639670 NIL) (-1087 2637941 2638047 2638383 "RMCAT2" 2639018 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1086 2634443 2637287 2637584 "RMATRIX" 2637703 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1085 2626942 2629530 2629645 "RMATCAT" 2633004 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2633986 NIL) (-1084 2626281 2626464 2626771 "RMATCAT-" 2626776 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1083 2625854 2626068 2626111 "RLINSET" 2626173 NIL RLINSET (NIL T) -9 NIL 2626217 NIL) (-1082 2625415 2625496 2625624 "RINTERP" 2625773 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1081 2624339 2625013 2625043 "RING" 2625099 T RING (NIL) -9 NIL 2625191 NIL) (-1080 2624119 2624175 2624272 "RING-" 2624277 NIL RING- (NIL T) -8 NIL NIL NIL) (-1079 2622930 2623197 2623455 "RIDIST" 2623883 T RIDIST (NIL) -7 NIL NIL NIL) (-1078 2613555 2622398 2622604 "RGCHAIN" 2622778 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1077 2612813 2613297 2613338 "RGBCSPC" 2613396 NIL RGBCSPC (NIL T) -9 NIL 2613448 NIL) (-1076 2611879 2612338 2612379 "RGBCMDL" 2612611 NIL RGBCMDL (NIL T) -9 NIL 2612725 NIL) (-1075 2611519 2611588 2611691 "RFFACTOR" 2611810 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1074 2611238 2611279 2611376 "RFFACT" 2611478 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1073 2609289 2609719 2610101 "RFDIST" 2610878 T RFDIST (NIL) -7 NIL NIL NIL) (-1072 2606229 2606897 2607567 "RF" 2608653 NIL RF (NIL T) -7 NIL NIL NIL) (-1071 2605676 2605774 2605937 "RETSOL" 2606131 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1070 2605294 2605392 2605435 "RETRACT" 2605568 NIL RETRACT (NIL T) -9 NIL 2605655 NIL) (-1069 2605137 2605168 2605255 "RETRACT-" 2605260 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1068 2604685 2604959 2605029 "RETAST" 2605089 T RETAST (NIL) -8 NIL NIL NIL) (-1067 2597035 2604338 2604465 "RESULT" 2604580 T RESULT (NIL) -8 NIL NIL NIL) (-1066 2595470 2596304 2596503 "RESRING" 2596938 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1065 2595094 2595155 2595253 "RESLATC" 2595407 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1064 2594793 2594834 2594941 "REPSQ" 2595053 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1063 2594484 2594525 2594636 "REPDB" 2594752 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1062 2588316 2589773 2590996 "REP2" 2593296 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1061 2584619 2585374 2586182 "REP1" 2587543 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1060 2581999 2582621 2583223 "REP" 2584039 T REP (NIL) -7 NIL NIL NIL) (-1059 2574007 2580140 2580596 "REGSET" 2581629 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1058 2572716 2573155 2573405 "REF" 2573792 NIL REF (NIL T) -8 NIL NIL NIL) (-1057 2572081 2572196 2572363 "REDORDER" 2572600 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1056 2567452 2571294 2571521 "RECLOS" 2571909 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1055 2566486 2566685 2566900 "REALSOLV" 2567259 T REALSOLV (NIL) -7 NIL NIL NIL) (-1054 2562933 2563771 2564655 "REAL0Q" 2565651 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1053 2558486 2559522 2560583 "REAL0" 2561914 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1052 2558320 2558373 2558403 "REAL" 2558408 T REAL (NIL) -9 NIL 2558443 NIL) (-1051 2557731 2558037 2558131 "RDUCEAST" 2558248 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1050 2557130 2557208 2557415 "RDIV" 2557653 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1049 2556180 2556372 2556585 "RDIST" 2556952 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1048 2554765 2555064 2555436 "RDETRS" 2555888 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1047 2552559 2553031 2553569 "RDETR" 2554307 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1046 2551178 2551462 2551859 "RDEEFS" 2552275 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1045 2549681 2549993 2550418 "RDEEF" 2550866 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1044 2543160 2546635 2546665 "RCFIELD" 2547960 T RCFIELD (NIL) -9 NIL 2548691 NIL) (-1043 2541116 2541728 2542424 "RCFIELD-" 2542499 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1042 2537168 2539189 2539232 "RCAGG" 2540316 NIL RCAGG (NIL T) -9 NIL 2540781 NIL) (-1041 2536778 2536890 2537053 "RCAGG-" 2537058 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1040 2536095 2536225 2536390 "RATRET" 2536662 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1039 2535636 2535715 2535836 "RATFACT" 2536023 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1038 2534914 2535064 2535216 "RANDSRC" 2535506 T RANDSRC (NIL) -7 NIL NIL NIL) (-1037 2534642 2534692 2534765 "RADUTIL" 2534863 T RADUTIL (NIL) -7 NIL NIL NIL) (-1036 2526787 2533473 2533784 "RADIX" 2534365 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1035 2516402 2526629 2526759 "RADFF" 2526764 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1034 2516031 2516124 2516154 "RADCAT" 2516314 T RADCAT (NIL) -9 NIL NIL NIL) (-1033 2515801 2515861 2515961 "RADCAT-" 2515966 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1032 2513712 2515571 2515663 "QUEUE" 2515744 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1031 2513337 2513386 2513517 "QUATCT2" 2513663 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1030 2505715 2509760 2509802 "QUATCAT" 2510593 NIL QUATCAT (NIL T) -9 NIL 2511359 NIL) (-1029 2501596 2502891 2504281 "QUATCAT-" 2504377 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1028 2497442 2501529 2501577 "QUAT" 2501582 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1027 2494698 2496490 2496533 "QUAGG" 2496914 NIL QUAGG (NIL T) -9 NIL 2497089 NIL) (-1026 2494246 2494520 2494590 "QQUTAST" 2494650 T QQUTAST (NIL) -8 NIL NIL NIL) (-1025 2493157 2493759 2493924 "QFORM" 2494127 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1024 2492782 2492831 2492962 "QFCAT2" 2493108 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1023 2482479 2488629 2488671 "QFCAT" 2489339 NIL QFCAT (NIL T) -9 NIL 2490340 NIL) (-1022 2477813 2479261 2480848 "QFCAT-" 2480944 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1021 2477244 2477378 2477510 "QEQUAT" 2477703 T QEQUAT (NIL) -8 NIL NIL NIL) (-1020 2470262 2471443 2472629 "QCMPACK" 2476177 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1019 2469491 2469673 2469909 "QALGSET2" 2470080 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1018 2466941 2467477 2467907 "QALGSET" 2469146 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1017 2465608 2465850 2466169 "PWFFINTB" 2466714 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1016 2463753 2463951 2464307 "PUSHVAR" 2465422 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1015 2459480 2460696 2460739 "PTRANFN" 2462650 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1014 2457817 2458162 2458486 "PTPACK" 2459191 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1013 2457440 2457503 2457614 "PTFUNC2" 2457754 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1012 2451356 2456229 2456272 "PTCAT" 2456572 NIL PTCAT (NIL T) -9 NIL 2456725 NIL) (-1011 2451005 2451046 2451172 "PSQFR" 2451315 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1010 2449577 2449893 2450229 "PSEUDLIN" 2450703 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1009 2436097 2438672 2440998 "PSETPK" 2447337 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1008 2428805 2431833 2431931 "PSETCAT" 2434972 NIL PSETCAT (NIL T T T T) -9 NIL 2435786 NIL) (-1007 2426530 2427272 2428096 "PSETCAT-" 2428101 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1006 2425843 2426038 2426068 "PSCURVE" 2426340 T PSCURVE (NIL) -9 NIL 2426507 NIL) (-1005 2421566 2423333 2423400 "PSCAT" 2424252 NIL PSCAT (NIL T T T) -9 NIL 2424492 NIL) (-1004 2420560 2420842 2421245 "PSCAT-" 2421250 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-1003 2418728 2419619 2419884 "PRTITION" 2420317 T PRTITION (NIL) -8 NIL NIL NIL) (-1002 2418139 2418445 2418539 "PRTDAST" 2418656 T PRTDAST (NIL) -8 NIL NIL NIL) (-1001 2406983 2409405 2411595 "PRS" 2416001 NIL PRS (NIL T T) -7 NIL NIL NIL) (-1000 2404598 2406300 2406342 "PRQAGG" 2406528 NIL PRQAGG (NIL T) -9 NIL 2406630 NIL) (-999 2403777 2404226 2404254 "PROPLOG" 2404393 T PROPLOG (NIL) -9 NIL 2404508 NIL) (-998 2403375 2403438 2403561 "PROPFUN2" 2403700 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-997 2402672 2402811 2402983 "PROPFUN1" 2403236 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-996 2400653 2401419 2401716 "PROPFRML" 2402408 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-995 2400098 2400229 2400357 "PROPERTY" 2400545 T PROPERTY (NIL) -8 NIL NIL NIL) (-994 2393911 2398264 2399084 "PRODUCT" 2399324 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-993 2393701 2393739 2393798 "PRINT" 2393872 T PRINT (NIL) -7 NIL NIL NIL) (-992 2393017 2393158 2393310 "PRIMES" 2393581 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-991 2391064 2391483 2391949 "PRIMELT" 2392596 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-990 2390781 2390842 2390870 "PRIMCAT" 2390994 T PRIMCAT (NIL) -9 NIL NIL NIL) (-989 2389770 2389966 2390194 "PRIMARR2" 2390599 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-988 2385492 2389708 2389753 "PRIMARR" 2389758 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-987 2385129 2385191 2385302 "PREASSOC" 2385430 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-986 2382094 2384587 2384821 "PR" 2384940 NIL PR (NIL T T) -8 NIL NIL NIL) (-985 2381545 2381702 2381730 "PPCURVE" 2381935 T PPCURVE (NIL) -9 NIL 2382071 NIL) (-984 2381092 2381340 2381423 "PORTNUM" 2381482 T PORTNUM (NIL) -8 NIL NIL NIL) (-983 2378429 2378850 2379442 "POLYROOT" 2380673 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-982 2377806 2377870 2378104 "POLYLIFT" 2378365 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-981 2374027 2374530 2375159 "POLYCATQ" 2377351 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-980 2359675 2365774 2365839 "POLYCAT" 2369353 NIL POLYCAT (NIL T T T) -9 NIL 2371231 NIL) (-979 2352815 2355000 2357377 "POLYCAT-" 2357382 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-978 2352396 2352470 2352590 "POLY2UP" 2352741 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-977 2352022 2352085 2352194 "POLY2" 2352333 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-976 2345237 2351626 2351786 "POLY" 2351895 NIL POLY (NIL T) -8 NIL NIL NIL) (-975 2343898 2344161 2344437 "POLUTIL" 2345011 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-974 2342217 2342530 2342861 "POLTOPOL" 2343620 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-973 2337213 2342151 2342198 "POINT" 2342203 NIL POINT (NIL T) -8 NIL NIL NIL) (-972 2335346 2335757 2336132 "PNTHEORY" 2336858 T PNTHEORY (NIL) -7 NIL NIL NIL) (-971 2333792 2334101 2334500 "PMTOOLS" 2335044 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-970 2333379 2333463 2333580 "PMSYM" 2333708 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-969 2332881 2332956 2333131 "PMQFCAT" 2333304 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-968 2332262 2332360 2332522 "PMPREDFS" 2332782 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-967 2331605 2331727 2331883 "PMPRED" 2332139 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-966 2330259 2330477 2330855 "PMPLCAT" 2331367 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-965 2329785 2329870 2330022 "PMLSAGG" 2330174 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-964 2329252 2329334 2329516 "PMKERNEL" 2329703 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-963 2328863 2328944 2329057 "PMINS" 2329171 NIL PMINS (NIL T) -7 NIL NIL NIL) (-962 2328299 2328374 2328583 "PMFS" 2328788 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-961 2327515 2327645 2327850 "PMDOWN" 2328176 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-960 2326764 2326898 2327061 "PMASSFS" 2327402 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-959 2325907 2326089 2326270 "PMASS" 2326603 T PMASS (NIL) -7 NIL NIL NIL) (-958 2325556 2325630 2325724 "PLOTTOOL" 2325833 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-957 2321208 2322402 2323324 "PLOT3D" 2324654 T PLOT3D (NIL) -8 NIL NIL NIL) (-956 2320096 2320297 2320532 "PLOT1" 2321012 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-955 2314517 2315907 2317055 "PLOT" 2318968 T PLOT (NIL) -8 NIL NIL NIL) (-954 2289692 2294583 2299434 "PLEQN" 2309783 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-953 2289379 2289432 2289535 "PINTERPA" 2289639 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-952 2288685 2288819 2288999 "PINTERP" 2289244 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-951 2286769 2287935 2287963 "PID" 2288160 T PID (NIL) -9 NIL 2288287 NIL) (-950 2286514 2286557 2286632 "PICOERCE" 2286726 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-949 2285610 2286278 2286365 "PI" 2286405 T PI (NIL) -8 NIL NIL 2286472) (-948 2284918 2285069 2285245 "PGROEB" 2285466 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-947 2280357 2281316 2282222 "PGE" 2284032 T PGE (NIL) -7 NIL NIL NIL) (-946 2278438 2278727 2279093 "PGCD" 2280074 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-945 2277764 2277879 2278040 "PFRPAC" 2278322 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-944 2274022 2276312 2276665 "PFR" 2277443 NIL PFR (NIL T) -8 NIL NIL NIL) (-943 2272375 2272655 2272980 "PFOTOOLS" 2273769 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-942 2270890 2271147 2271498 "PFOQ" 2272132 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-941 2269373 2269603 2269959 "PFO" 2270674 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-940 2266457 2267963 2267991 "PFECAT" 2268584 T PFECAT (NIL) -9 NIL 2268961 NIL) (-939 2265905 2266070 2266277 "PFECAT-" 2266282 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-938 2264478 2264760 2265061 "PFBRU" 2265654 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-937 2262307 2262696 2263128 "PFBR" 2264129 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-936 2258253 2262196 2262265 "PF" 2262270 NIL PF (NIL NIL) -8 NIL NIL NIL) (-935 2253307 2254460 2255330 "PERMGRP" 2257416 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-934 2251219 2252331 2252372 "PERMCAT" 2252772 NIL PERMCAT (NIL T) -9 NIL 2253070 NIL) (-933 2250866 2250913 2251037 "PERMAN" 2251172 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-932 2246668 2248375 2249023 "PERM" 2250251 NIL PERM (NIL T) -8 NIL NIL NIL) (-931 2243909 2246333 2246455 "PENDTREE" 2246579 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-930 2242790 2243053 2243094 "PDSPC" 2243627 NIL PDSPC (NIL T) -9 NIL 2243872 NIL) (-929 2241845 2242111 2242473 "PDSPC-" 2242478 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-928 2240559 2241495 2241536 "PDRING" 2241541 NIL PDRING (NIL T) -9 NIL 2241569 NIL) (-927 2239302 2240064 2240118 "PDMOD" 2240123 NIL PDMOD (NIL T T) -9 NIL 2240227 NIL) (-926 2236469 2237295 2237963 "PDEPROB" 2238654 T PDEPROB (NIL) -8 NIL NIL NIL) (-925 2233978 2234518 2235073 "PDEPACK" 2235934 T PDEPACK (NIL) -7 NIL NIL NIL) (-924 2232866 2233080 2233331 "PDECOMP" 2233777 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-923 2230383 2231274 2231302 "PDECAT" 2232089 T PDECAT (NIL) -9 NIL 2232802 NIL) (-922 2230000 2230067 2230121 "PDDOM" 2230286 NIL PDDOM (NIL T T) -9 NIL 2230366 NIL) (-921 2229813 2229849 2229956 "PDDOM-" 2229961 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-920 2229558 2229597 2229687 "PCOMP" 2229774 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-919 2227598 2228359 2228656 "PBWLB" 2229287 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-918 2227224 2227287 2227396 "PATTERN2" 2227535 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-917 2224933 2225369 2225826 "PATTERN1" 2226813 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-916 2217112 2219006 2220344 "PATTERN" 2223616 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-915 2216670 2216743 2216875 "PATRES2" 2217039 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-914 2213936 2214619 2215100 "PATRES" 2216235 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-913 2211789 2212224 2212631 "PATMATCH" 2213603 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-912 2211243 2211494 2211535 "PATMAB" 2211642 NIL PATMAB (NIL T) -9 NIL 2211725 NIL) (-911 2209689 2210097 2210355 "PATLRES" 2211048 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-910 2209227 2209358 2209399 "PATAB" 2209404 NIL PATAB (NIL T) -9 NIL 2209576 NIL) (-909 2207367 2207804 2208227 "PARTPERM" 2208824 T PARTPERM (NIL) -7 NIL NIL NIL) (-908 2206976 2207051 2207153 "PARSURF" 2207298 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-907 2206602 2206665 2206774 "PARSU2" 2206913 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-906 2206360 2206406 2206473 "PARSER" 2206555 T PARSER (NIL) -7 NIL NIL NIL) (-905 2205969 2206044 2206146 "PARSCURV" 2206291 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-904 2205595 2205658 2205767 "PARSC2" 2205906 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-903 2205222 2205292 2205389 "PARPCURV" 2205531 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-902 2204848 2204911 2205020 "PARPC2" 2205159 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-901 2203837 2204221 2204403 "PARAMAST" 2204686 T PARAMAST (NIL) -8 NIL NIL NIL) (-900 2203345 2203443 2203562 "PAN2EXPR" 2203738 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-899 2202038 2202466 2202694 "PALETTE" 2203137 T PALETTE (NIL) -8 NIL NIL NIL) (-898 2200383 2201043 2201403 "PAIR" 2201724 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-897 2193316 2199640 2199835 "PADICRC" 2200237 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-896 2185573 2192660 2192845 "PADICRAT" 2193163 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-895 2182370 2184233 2184273 "PADICCT" 2184854 NIL PADICCT (NIL NIL) -9 NIL 2185136 NIL) (-894 2180386 2182307 2182352 "PADIC" 2182357 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-893 2179331 2179543 2179811 "PADEPAC" 2180173 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-892 2178531 2178676 2178882 "PADE" 2179193 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-891 2176764 2177739 2178019 "OWP" 2178335 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-890 2176209 2176470 2176567 "OVERSET" 2176687 T OVERSET (NIL) -8 NIL NIL NIL) (-889 2175129 2175814 2175986 "OVAR" 2176077 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-888 2163365 2166238 2168438 "OUTFORM" 2172949 T OUTFORM (NIL) -8 NIL NIL NIL) (-887 2162647 2162962 2163089 "OUTBFILE" 2163258 T OUTBFILE (NIL) -8 NIL NIL NIL) (-886 2161924 2162119 2162147 "OUTBCON" 2162465 T OUTBCON (NIL) -9 NIL 2162631 NIL) (-885 2161507 2161637 2161794 "OUTBCON-" 2161799 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-884 2160747 2160892 2161053 "OUT" 2161366 T OUT (NIL) -7 NIL NIL NIL) (-883 2160043 2160476 2160565 "OSI" 2160678 T OSI (NIL) -8 NIL NIL NIL) (-882 2159462 2159884 2159912 "OSGROUP" 2159917 T OSGROUP (NIL) -9 NIL 2159939 NIL) (-881 2158173 2158434 2158719 "ORTHPOL" 2159209 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-880 2155424 2158008 2158129 "OREUP" 2158134 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-879 2152527 2155115 2155242 "ORESUP" 2155366 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-878 2150027 2150555 2151116 "OREPCTO" 2152016 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-877 2143405 2145900 2145941 "OREPCAT" 2148289 NIL OREPCAT (NIL T) -9 NIL 2149393 NIL) (-876 2140378 2141334 2142392 "OREPCAT-" 2142397 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-875 2139570 2139848 2139876 "ORDTYPE" 2140185 T ORDTYPE (NIL) -9 NIL 2140348 NIL) (-874 2138871 2139087 2139342 "ORDTYPE-" 2139347 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-873 2138227 2138610 2138768 "ORDSTRCT" 2138773 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-872 2137725 2138095 2138123 "ORDSET" 2138128 T ORDSET (NIL) -9 NIL 2138150 NIL) (-871 2136376 2137347 2137375 "ORDRING" 2137380 T ORDRING (NIL) -9 NIL 2137409 NIL) (-870 2135627 2136192 2136220 "ORDMON" 2136225 T ORDMON (NIL) -9 NIL 2136246 NIL) (-869 2134771 2134936 2135131 "ORDFUNS" 2135476 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-868 2133986 2134501 2134529 "ORDFIN" 2134594 T ORDFIN (NIL) -9 NIL 2134668 NIL) (-867 2133240 2133379 2133565 "ORDCOMP2" 2133846 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-866 2129587 2131826 2132235 "ORDCOMP" 2132864 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-865 2126108 2127078 2127892 "OPTPROB" 2128793 T OPTPROB (NIL) -8 NIL NIL NIL) (-864 2122850 2123549 2124253 "OPTPACK" 2125424 T OPTPACK (NIL) -7 NIL NIL NIL) (-863 2120463 2121289 2121317 "OPTCAT" 2122136 T OPTCAT (NIL) -9 NIL 2122786 NIL) (-862 2119781 2120140 2120245 "OPSIG" 2120378 T OPSIG (NIL) -8 NIL NIL NIL) (-861 2119543 2119588 2119654 "OPQUERY" 2119735 T OPQUERY (NIL) -7 NIL NIL NIL) (-860 2118849 2119129 2119170 "OPERCAT" 2119382 NIL OPERCAT (NIL T) -9 NIL 2119479 NIL) (-859 2118592 2118660 2118777 "OPERCAT-" 2118782 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-858 2115508 2116903 2117407 "OP" 2118121 NIL OP (NIL T) -8 NIL NIL NIL) (-857 2114801 2114928 2115102 "ONECOMP2" 2115380 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-856 2111414 2113598 2113967 "ONECOMP" 2114465 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-855 2110815 2110939 2111069 "OMSERVER" 2111304 T OMSERVER (NIL) -7 NIL NIL NIL) (-854 2107327 2110253 2110293 "OMSAGG" 2110354 NIL OMSAGG (NIL T) -9 NIL 2110419 NIL) (-853 2105902 2106213 2106495 "OMPKG" 2107065 T OMPKG (NIL) -7 NIL NIL NIL) (-852 2104249 2105451 2105620 "OMLO" 2105783 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-851 2103185 2103356 2103576 "OMEXPR" 2104075 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-850 2102270 2102606 2102766 "OMERRK" 2103045 T OMERRK (NIL) -8 NIL NIL NIL) (-849 2101507 2101816 2101952 "OMERR" 2102154 T OMERR (NIL) -8 NIL NIL NIL) (-848 2100898 2101184 2101292 "OMENC" 2101419 T OMENC (NIL) -8 NIL NIL NIL) (-847 2094535 2095978 2097149 "OMDEV" 2099747 T OMDEV (NIL) -8 NIL NIL NIL) (-846 2093568 2093775 2093969 "OMCONN" 2094361 T OMCONN (NIL) -8 NIL NIL NIL) (-845 2092974 2093101 2093129 "OM" 2093428 T OM (NIL) -9 NIL NIL NIL) (-844 2091252 2092444 2092472 "OINTDOM" 2092477 T OINTDOM (NIL) -9 NIL 2092498 NIL) (-843 2088327 2089940 2090277 "OFMONOID" 2090947 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-842 2087561 2088264 2088309 "ODVAR" 2088314 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-841 2084705 2087306 2087461 "ODR" 2087466 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-840 2076117 2084481 2084607 "ODPOL" 2084612 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-839 2069411 2075989 2076094 "ODP" 2076099 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-838 2068153 2068392 2068667 "ODETOOLS" 2069185 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-837 2065096 2065778 2066494 "ODESYS" 2067486 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-836 2059926 2060886 2061911 "ODERTRIC" 2064171 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-835 2059346 2059434 2059628 "ODERED" 2059838 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-834 2056198 2056782 2057459 "ODERAT" 2058769 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-833 2053114 2053622 2054219 "ODEPRRIC" 2055727 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-832 2051009 2051653 2052139 "ODEPROB" 2052648 T ODEPROB (NIL) -8 NIL NIL NIL) (-831 2047475 2048014 2048661 "ODEPRIM" 2050488 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-830 2046718 2046826 2047086 "ODEPAL" 2047367 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-829 2042820 2043671 2044535 "ODEPACK" 2045874 T ODEPACK (NIL) -7 NIL NIL NIL) (-828 2041863 2041988 2042210 "ODEINT" 2042709 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-827 2035928 2037389 2038836 "ODEIFTBL" 2040436 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-826 2031278 2032112 2033064 "ODEEF" 2035087 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-825 2030621 2030716 2030939 "ODECONST" 2031183 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-824 2028684 2029393 2029421 "ODECAT" 2030026 T ODECAT (NIL) -9 NIL 2030557 NIL) (-823 2028316 2028365 2028492 "OCTCT2" 2028635 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-822 2024816 2028021 2028143 "OCT" 2028226 NIL OCT (NIL T) -8 NIL NIL NIL) (-821 2024009 2024609 2024637 "OCAMON" 2024642 T OCAMON (NIL) -9 NIL 2024663 NIL) (-820 2018280 2021052 2021092 "OC" 2022189 NIL OC (NIL T) -9 NIL 2023047 NIL) (-819 2015315 2016255 2017245 "OC-" 2017339 NIL OC- (NIL T T) -8 NIL NIL NIL) (-818 2014735 2015160 2015188 "OASGP" 2015193 T OASGP (NIL) -9 NIL 2015213 NIL) (-817 2013831 2014458 2014486 "OAMONS" 2014526 T OAMONS (NIL) -9 NIL 2014569 NIL) (-816 2013007 2013566 2013594 "OAMON" 2013652 T OAMON (NIL) -9 NIL 2013704 NIL) (-815 2012865 2012898 2012966 "OAMON-" 2012971 NIL OAMON- (NIL T) -8 NIL NIL NIL) (-814 2011646 2012399 2012427 "OAGROUP" 2012574 T OAGROUP (NIL) -9 NIL 2012667 NIL) (-813 2011349 2011437 2011555 "OAGROUP-" 2011560 NIL OAGROUP- (NIL T) -8 NIL NIL NIL) (-812 2011031 2011087 2011176 "NUMTUBE" 2011293 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-811 2004550 2006122 2007658 "NUMQUAD" 2009515 T NUMQUAD (NIL) -7 NIL NIL NIL) (-810 2000230 2001264 2002299 "NUMODE" 2003535 T NUMODE (NIL) -7 NIL NIL NIL) (-809 1997511 1998451 1998479 "NUMINT" 1999402 T NUMINT (NIL) -9 NIL 2000166 NIL) (-808 1996423 1996656 1996874 "NUMFMT" 1997313 T NUMFMT (NIL) -7 NIL NIL NIL) (-807 1982606 1985727 1988259 "NUMERIC" 1993930 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-806 1976310 1982054 1982149 "NTSCAT" 1982154 NIL NTSCAT (NIL T T T T) -9 NIL 1982193 NIL) (-805 1975490 1975669 1975862 "NTPOLFN" 1976149 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-804 1975116 1975179 1975288 "NSUP2" 1975427 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-803 1961898 1971941 1972753 "NSUP" 1974337 NIL NSUP (NIL T) -8 NIL NIL NIL) (-802 1950741 1961672 1961805 "NSMP" 1961810 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-801 1949149 1949474 1949831 "NREP" 1950429 NIL NREP (NIL T) -7 NIL NIL NIL) (-800 1947728 1947992 1948350 "NPCOEF" 1948892 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-799 1946776 1946909 1947125 "NORMRETR" 1947609 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-798 1944787 1945107 1945516 "NORMPK" 1946484 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-797 1944466 1944500 1944624 "NORMMA" 1944753 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-796 1944249 1944284 1944353 "NONE1" 1944430 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-795 1944013 1944206 1944235 "NONE" 1944240 T NONE (NIL) -8 NIL NIL NIL) (-794 1943504 1943572 1943751 "NODE1" 1943945 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-793 1941565 1942627 1942882 "NNI" 1943229 T NNI (NIL) -8 NIL NIL 1943464) (-792 1939961 1940298 1940662 "NLINSOL" 1941233 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-791 1936142 1937197 1938096 "NIPROB" 1939082 T NIPROB (NIL) -8 NIL NIL NIL) (-790 1934881 1935133 1935435 "NFINTBAS" 1935904 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-789 1933965 1934531 1934572 "NETCLT" 1934744 NIL NETCLT (NIL T) -9 NIL 1934826 NIL) (-788 1932637 1932904 1933185 "NCODIV" 1933733 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-787 1932393 1932436 1932511 "NCNTFRAC" 1932594 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-786 1930549 1930937 1931357 "NCEP" 1932018 NIL NCEP (NIL T) -7 NIL NIL NIL) (-785 1929212 1930159 1930187 "NASRING" 1930297 T NASRING (NIL) -9 NIL 1930377 NIL) (-784 1928995 1929051 1929145 "NASRING-" 1929150 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-783 1927962 1928613 1928641 "NARNG" 1928758 T NARNG (NIL) -9 NIL 1928849 NIL) (-782 1927636 1927721 1927855 "NARNG-" 1927860 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-781 1926473 1926722 1926957 "NAGSP" 1927421 T NAGSP (NIL) -7 NIL NIL NIL) (-780 1917517 1919429 1921102 "NAGS" 1924820 T NAGS (NIL) -7 NIL NIL NIL) (-779 1916041 1916373 1916704 "NAGF07" 1917206 T NAGF07 (NIL) -7 NIL NIL NIL) (-778 1910513 1911870 1913177 "NAGF04" 1914754 T NAGF04 (NIL) -7 NIL NIL NIL) (-777 1903385 1905095 1906728 "NAGF02" 1908900 T NAGF02 (NIL) -7 NIL NIL NIL) (-776 1898549 1899709 1900826 "NAGF01" 1902288 T NAGF01 (NIL) -7 NIL NIL NIL) (-775 1892129 1893743 1895328 "NAGE04" 1896984 T NAGE04 (NIL) -7 NIL NIL NIL) (-774 1883190 1885419 1887549 "NAGE02" 1890019 T NAGE02 (NIL) -7 NIL NIL NIL) (-773 1879083 1880090 1881054 "NAGE01" 1882246 T NAGE01 (NIL) -7 NIL NIL NIL) (-772 1876860 1877412 1877970 "NAGD03" 1878545 T NAGD03 (NIL) -7 NIL NIL NIL) (-771 1868556 1870538 1872492 "NAGD02" 1874926 T NAGD02 (NIL) -7 NIL NIL NIL) (-770 1862295 1863792 1865232 "NAGD01" 1867136 T NAGD01 (NIL) -7 NIL NIL NIL) (-769 1858432 1859326 1860163 "NAGC06" 1861478 T NAGC06 (NIL) -7 NIL NIL NIL) (-768 1856879 1857229 1857585 "NAGC05" 1858096 T NAGC05 (NIL) -7 NIL NIL NIL) (-767 1856243 1856374 1856518 "NAGC02" 1856755 T NAGC02 (NIL) -7 NIL NIL NIL) (-766 1855044 1855771 1855811 "NAALG" 1855890 NIL NAALG (NIL T) -9 NIL 1855951 NIL) (-765 1854873 1854908 1854998 "NAALG-" 1855003 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-764 1848745 1849931 1851118 "MULTSQFR" 1853769 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-763 1848052 1848139 1848323 "MULTFACT" 1848657 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-762 1840197 1844635 1844688 "MTSCAT" 1845758 NIL MTSCAT (NIL T T) -9 NIL 1846274 NIL) (-761 1839903 1839963 1840055 "MTHING" 1840137 NIL MTHING (NIL T) -7 NIL NIL NIL) (-760 1839689 1839728 1839788 "MSYSCMD" 1839863 T MSYSCMD (NIL) -7 NIL NIL NIL) (-759 1836434 1839250 1839291 "MSETAGG" 1839296 NIL MSETAGG (NIL T) -9 NIL 1839330 NIL) (-758 1832148 1835189 1835509 "MSET" 1836147 NIL MSET (NIL T) -8 NIL NIL NIL) (-757 1827750 1829527 1830272 "MRING" 1831448 NIL MRING (NIL T T) -8 NIL NIL NIL) (-756 1827310 1827383 1827514 "MRF2" 1827677 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-755 1826922 1826963 1827107 "MRATFAC" 1827269 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-754 1824492 1824829 1825260 "MPRFF" 1826627 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-753 1817826 1824346 1824443 "MPOLY" 1824448 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-752 1817310 1817351 1817559 "MPCPF" 1817785 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-751 1816818 1816867 1817051 "MPC3" 1817261 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-750 1816001 1816094 1816315 "MPC2" 1816733 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-749 1814278 1814639 1815029 "MONOTOOL" 1815661 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-748 1813423 1813806 1813834 "MONOID" 1814053 T MONOID (NIL) -9 NIL 1814200 NIL) (-747 1812939 1813088 1813269 "MONOID-" 1813274 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-746 1801912 1808759 1808818 "MONOGEN" 1809492 NIL MONOGEN (NIL T T) -9 NIL 1809948 NIL) (-745 1798962 1799865 1800865 "MONOGEN-" 1800984 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-744 1797679 1798227 1798255 "MONADWU" 1798647 T MONADWU (NIL) -9 NIL 1798885 NIL) (-743 1797009 1797210 1797458 "MONADWU-" 1797463 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-742 1796294 1796598 1796626 "MONAD" 1796833 T MONAD (NIL) -9 NIL 1796945 NIL) (-741 1795961 1796057 1796189 "MONAD-" 1796194 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-740 1794100 1794874 1795153 "MOEBIUS" 1795714 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-739 1793268 1793768 1793808 "MODULE" 1793813 NIL MODULE (NIL T) -9 NIL 1793852 NIL) (-738 1792806 1792932 1793122 "MODULE-" 1793127 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-737 1790336 1791170 1791497 "MODRING" 1792630 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-736 1787065 1788441 1788962 "MODOP" 1789865 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-735 1785551 1786132 1786409 "MODMONOM" 1786928 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-734 1774311 1783842 1784256 "MODMON" 1785188 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-733 1771144 1773155 1773431 "MODFIELD" 1774186 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-732 1770055 1770425 1770615 "MMLFORM" 1770974 T MMLFORM (NIL) -8 NIL NIL NIL) (-731 1769575 1769624 1769803 "MMAP" 1770006 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-730 1767468 1768407 1768448 "MLO" 1768871 NIL MLO (NIL T) -9 NIL 1769113 NIL) (-729 1764816 1765350 1765952 "MLIFT" 1766949 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-728 1764195 1764291 1764445 "MKUCFUNC" 1764727 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-727 1763788 1763864 1763987 "MKRECORD" 1764118 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-726 1762811 1762997 1763225 "MKFUNC" 1763599 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-725 1762187 1762303 1762459 "MKFLCFN" 1762694 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-724 1761452 1761566 1761751 "MKBCFUNC" 1762080 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-723 1757449 1761006 1761142 "MINT" 1761336 T MINT (NIL) -8 NIL NIL NIL) (-722 1756231 1756504 1756781 "MHROWRED" 1757204 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-721 1750982 1754766 1755171 "MFLOAT" 1755846 T MFLOAT (NIL) -8 NIL NIL NIL) (-720 1750327 1750415 1750586 "MFINFACT" 1750894 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-719 1746606 1747490 1748374 "MESH" 1749463 T MESH (NIL) -7 NIL NIL NIL) (-718 1744960 1745308 1745661 "MDDFACT" 1746293 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-717 1741496 1744091 1744132 "MDAGG" 1744387 NIL MDAGG (NIL T) -9 NIL 1744530 NIL) (-716 1729219 1740789 1740996 "MCMPLX" 1741309 T MCMPLX (NIL) -8 NIL NIL NIL) (-715 1728338 1728502 1728703 "MCDEN" 1729068 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-714 1726186 1726498 1726878 "MCALCFN" 1728068 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-713 1725063 1725351 1725584 "MAYBE" 1725992 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-712 1722621 1723198 1723760 "MATSTOR" 1724534 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-711 1718043 1721993 1722241 "MATRIX" 1722406 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-710 1713743 1714516 1715252 "MATLIN" 1717400 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-709 1712319 1712490 1712823 "MATCAT2" 1713578 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-708 1701658 1705376 1705453 "MATCAT" 1710485 NIL MATCAT (NIL T T T) -9 NIL 1711957 NIL) (-707 1697611 1698921 1700334 "MATCAT-" 1700339 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-706 1695687 1696047 1696431 "MAPPKG3" 1697286 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-705 1694644 1694841 1695063 "MAPPKG2" 1695511 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-704 1693101 1693427 1693754 "MAPPKG1" 1694350 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-703 1692102 1692507 1692684 "MAPPAST" 1692944 T MAPPAST (NIL) -8 NIL NIL NIL) (-702 1691707 1691771 1691894 "MAPHACK3" 1692038 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-701 1691287 1691360 1691474 "MAPHACK2" 1691639 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-700 1690713 1690828 1690970 "MAPHACK1" 1691178 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-699 1688636 1689413 1689717 "MAGMA" 1690441 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-698 1688055 1688360 1688451 "MACROAST" 1688565 T MACROAST (NIL) -8 NIL NIL NIL) (-697 1684298 1686294 1686755 "M3D" 1687627 NIL M3D (NIL T) -8 NIL NIL NIL) (-696 1677770 1682609 1682650 "LZSTAGG" 1683432 NIL LZSTAGG (NIL T) -9 NIL 1683727 NIL) (-695 1673452 1674901 1676358 "LZSTAGG-" 1676363 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-694 1670365 1671343 1671830 "LWORD" 1672997 NIL LWORD (NIL T) -8 NIL NIL NIL) (-693 1669887 1670169 1670244 "LSTAST" 1670310 T LSTAST (NIL) -8 NIL NIL NIL) (-692 1661815 1669658 1669792 "LSQM" 1669797 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-691 1661033 1661178 1661406 "LSPP" 1661670 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-690 1657770 1658486 1659216 "LSMP1" 1660335 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-689 1655552 1655883 1656339 "LSMP" 1657459 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-688 1648680 1654642 1654683 "LSAGG" 1654745 NIL LSAGG (NIL T) -9 NIL 1654823 NIL) (-687 1645189 1646299 1647512 "LSAGG-" 1647517 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-686 1642484 1644333 1644582 "LPOLY" 1644984 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-685 1642060 1642151 1642274 "LPEFRAC" 1642393 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-684 1641743 1641822 1641850 "LOGIC" 1641961 T LOGIC (NIL) -9 NIL 1642043 NIL) (-683 1641599 1641628 1641699 "LOGIC-" 1641704 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-682 1640774 1640932 1641125 "LODOOPS" 1641455 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-681 1639298 1639547 1639900 "LODOF" 1640521 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-680 1635174 1637933 1637974 "LODOCAT" 1638412 NIL LODOCAT (NIL T) -9 NIL 1638623 NIL) (-679 1634889 1634965 1635092 "LODOCAT-" 1635097 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-678 1631875 1634730 1634848 "LODO2" 1634853 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-677 1628982 1631812 1631857 "LODO1" 1631862 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-676 1626077 1628898 1628964 "LODO" 1628969 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-675 1624946 1625123 1625428 "LODEEF" 1625900 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-674 1622932 1624040 1624293 "LO" 1624778 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1617904 1621098 1621139 "LNAGG" 1622001 NIL LNAGG (NIL T) -9 NIL 1622436 NIL) (-672 1616997 1617265 1617607 "LNAGG-" 1617612 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-671 1612977 1613922 1614561 "LMOPS" 1616412 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-670 1612276 1612754 1612795 "LMODULE" 1612800 NIL LMODULE (NIL T) -9 NIL 1612826 NIL) (-669 1609231 1611921 1612044 "LMDICT" 1612186 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-668 1608807 1609021 1609062 "LLINSET" 1609123 NIL LLINSET (NIL T) -9 NIL 1609167 NIL) (-667 1608452 1608715 1608775 "LITERAL" 1608780 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-666 1607971 1608051 1608190 "LIST3" 1608372 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-665 1606069 1606417 1606816 "LIST2MAP" 1607618 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-664 1605058 1605254 1605482 "LIST2" 1605887 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-663 1597512 1603992 1604296 "LIST" 1604787 NIL LIST (NIL T) -8 NIL NIL NIL) (-662 1597095 1597331 1597372 "LINSET" 1597377 NIL LINSET (NIL T) -9 NIL 1597411 NIL) (-661 1595909 1596603 1596770 "LINFORM" 1596980 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-660 1594208 1594936 1594977 "LINEXP" 1595467 NIL LINEXP (NIL T) -9 NIL 1595740 NIL) (-659 1592784 1593688 1593869 "LINELT" 1594079 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-658 1591341 1591621 1591932 "LINDEP" 1592536 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-657 1590477 1591073 1591183 "LINBASIS" 1591271 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-656 1587214 1587963 1588740 "LIMITRF" 1589732 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-655 1585499 1585813 1586222 "LIMITPS" 1586909 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-654 1584327 1584902 1584942 "LIECAT" 1585082 NIL LIECAT (NIL T) -9 NIL 1585233 NIL) (-653 1584162 1584195 1584283 "LIECAT-" 1584288 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-652 1578182 1583673 1583901 "LIE" 1583983 NIL LIE (NIL T T) -8 NIL NIL NIL) (-651 1570367 1577722 1577878 "LIB" 1578046 T LIB (NIL) -8 NIL NIL NIL) (-650 1565936 1566885 1567820 "LGROBP" 1569484 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-649 1564560 1565468 1565496 "LFCAT" 1565703 T LFCAT (NIL) -9 NIL 1565842 NIL) (-648 1562498 1562832 1563182 "LF" 1564281 NIL LF (NIL T T) -7 NIL NIL NIL) (-647 1559358 1560030 1560718 "LEXTRIPK" 1561862 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-646 1555946 1556928 1557431 "LEXP" 1558938 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-645 1555362 1555667 1555759 "LETAST" 1555874 T LETAST (NIL) -8 NIL NIL NIL) (-644 1553748 1554073 1554474 "LEADCDET" 1555044 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-643 1552926 1553012 1553241 "LAZM3PK" 1553669 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-642 1547451 1551003 1551541 "LAUPOL" 1552438 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-641 1547024 1547074 1547235 "LAPLACE" 1547401 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-640 1545872 1546588 1546629 "LALG" 1546691 NIL LALG (NIL T) -9 NIL 1546750 NIL) (-639 1545568 1545645 1545781 "LALG-" 1545786 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-638 1543305 1544669 1544920 "LA" 1545401 NIL LA (NIL T T T) -8 NIL NIL NIL) (-637 1543134 1543164 1543205 "KVTFROM" 1543267 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-636 1541891 1542501 1542686 "KTVLOGIC" 1542969 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-635 1541720 1541750 1541791 "KRCFROM" 1541853 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-634 1540612 1540811 1541110 "KOVACIC" 1541520 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-633 1540441 1540471 1540512 "KONVERT" 1540574 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-632 1540270 1540300 1540341 "KOERCE" 1540403 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-631 1539754 1539847 1539979 "KERNEL2" 1540184 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-630 1537441 1538347 1538724 "KERNEL" 1539410 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-629 1530912 1535918 1535972 "KDAGG" 1536349 NIL KDAGG (NIL T T) -9 NIL 1536555 NIL) (-628 1530423 1530565 1530770 "KDAGG-" 1530775 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-627 1523123 1530084 1530239 "KAFILE" 1530301 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-626 1522727 1523012 1523075 "JVMOP" 1523080 T JVMOP (NIL) -8 NIL NIL NIL) (-625 1521463 1521967 1522216 "JVMMDACC" 1522498 T JVMMDACC (NIL) -8 NIL NIL NIL) (-624 1520399 1520853 1521058 "JVMFDACC" 1521278 T JVMFDACC (NIL) -8 NIL NIL NIL) (-623 1518980 1519475 1519775 "JVMCSTTG" 1520119 T JVMCSTTG (NIL) -8 NIL NIL NIL) (-622 1518116 1518520 1518681 "JVMCFACC" 1518839 T JVMCFACC (NIL) -8 NIL NIL NIL) (-621 1517794 1518033 1518082 "JVMBCODE" 1518087 T JVMBCODE (NIL) -8 NIL NIL NIL) (-620 1511813 1517305 1517533 "JORDAN" 1517615 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-619 1511126 1511462 1511583 "JOINAST" 1511712 T JOINAST (NIL) -8 NIL NIL NIL) (-618 1507161 1509303 1509357 "IXAGG" 1510286 NIL IXAGG (NIL T T) -9 NIL 1510745 NIL) (-617 1506014 1506386 1506805 "IXAGG-" 1506810 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-616 1501103 1505936 1505995 "IVECTOR" 1506000 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-615 1499828 1500106 1500372 "ITUPLE" 1500870 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-614 1498300 1498507 1498802 "ITRIGMNP" 1499650 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-613 1497027 1497249 1497532 "ITFUN3" 1498076 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-612 1496625 1496688 1496811 "ITFUN2" 1496950 NIL ITFUN2 (NIL T T) -8 NIL NIL NIL) (-611 1495730 1496105 1496279 "ITFORM" 1496471 T ITFORM (NIL) -8 NIL NIL NIL) (-610 1493499 1494750 1495028 "ITAYLOR" 1495485 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-609 1481903 1487636 1488799 "ISUPS" 1492369 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-608 1480995 1481147 1481383 "ISUMP" 1481750 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-607 1475845 1480940 1480981 "ISTRING" 1480986 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-606 1475261 1475566 1475658 "ISAST" 1475773 T ISAST (NIL) -8 NIL NIL NIL) (-605 1474459 1474552 1474768 "IRURPK" 1475175 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-604 1473371 1473596 1473836 "IRSN" 1474239 T IRSN (NIL) -7 NIL NIL NIL) (-603 1471416 1471797 1472226 "IRRF2F" 1473009 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-602 1471157 1471201 1471277 "IRREDFFX" 1471372 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-601 1469730 1470031 1470330 "IROOT" 1470890 NIL IROOT (NIL T) -7 NIL NIL NIL) (-600 1468869 1469223 1469374 "IRFORM" 1469599 T IRFORM (NIL) -8 NIL NIL NIL) (-599 1467951 1468082 1468296 "IR2F" 1468752 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-598 1465540 1466059 1466625 "IR2" 1467429 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-597 1461980 1463224 1463916 "IR" 1464880 NIL IR (NIL T) -8 NIL NIL NIL) (-596 1461765 1461805 1461865 "IPRNTPK" 1461940 T IPRNTPK (NIL) -7 NIL NIL NIL) (-595 1457739 1461654 1461723 "IPF" 1461728 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-594 1455767 1457664 1457721 "IPADIC" 1457726 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-593 1455025 1455327 1455457 "IP4ADDR" 1455657 T IP4ADDR (NIL) -8 NIL NIL NIL) (-592 1454363 1454654 1454786 "IOMODE" 1454913 T IOMODE (NIL) -8 NIL NIL NIL) (-591 1453334 1453960 1454087 "IOBFILE" 1454256 T IOBFILE (NIL) -8 NIL NIL NIL) (-590 1452744 1453238 1453266 "IOBCON" 1453271 T IOBCON (NIL) -9 NIL 1453292 NIL) (-589 1452249 1452313 1452496 "INVLAPLA" 1452680 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-588 1441819 1444251 1446637 "INTTR" 1449913 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-587 1438112 1438896 1439761 "INTTOOLS" 1441004 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-586 1437692 1437789 1437906 "INTSLPE" 1438015 T INTSLPE (NIL) -7 NIL NIL NIL) (-585 1435159 1437615 1437674 "INTRVL" 1437679 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-584 1432737 1433273 1433848 "INTRF" 1434644 NIL INTRF (NIL T) -7 NIL NIL NIL) (-583 1432130 1432245 1432387 "INTRET" 1432635 NIL INTRET (NIL T) -7 NIL NIL NIL) (-582 1430103 1430516 1430986 "INTRAT" 1431738 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-581 1427348 1427949 1428568 "INTPM" 1429588 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-580 1424065 1424692 1425430 "INTPAF" 1426734 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-579 1419166 1420206 1421257 "INTPACK" 1423034 T INTPACK (NIL) -7 NIL NIL NIL) (-578 1418412 1418570 1418778 "INTHERTR" 1419008 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-577 1417845 1417931 1418119 "INTHERAL" 1418326 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-576 1415613 1416134 1416591 "INTHEORY" 1417408 T INTHEORY (NIL) -7 NIL NIL NIL) (-575 1406945 1408640 1410412 "INTG0" 1413965 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-574 1387470 1392308 1397118 "INTFTBL" 1402155 T INTFTBL (NIL) -8 NIL NIL NIL) (-573 1386695 1386857 1387030 "INTFACT" 1387329 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-572 1384092 1384568 1385125 "INTEF" 1386249 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-571 1382289 1383184 1383212 "INTDOM" 1383513 T INTDOM (NIL) -9 NIL 1383720 NIL) (-570 1381628 1381832 1382074 "INTDOM-" 1382079 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-569 1377496 1379917 1379971 "INTCAT" 1380770 NIL INTCAT (NIL T) -9 NIL 1381091 NIL) (-568 1376950 1377071 1377199 "INTBIT" 1377388 T INTBIT (NIL) -7 NIL NIL NIL) (-567 1375631 1375803 1376110 "INTALG" 1376795 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-566 1375108 1375204 1375361 "INTAF" 1375535 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-565 1368075 1374918 1375058 "INTABL" 1375063 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-564 1367316 1367878 1367943 "INT8" 1367977 T INT8 (NIL) -8 NIL NIL 1368022) (-563 1366556 1367118 1367183 "INT64" 1367217 T INT64 (NIL) -8 NIL NIL 1367262) (-562 1365796 1366358 1366423 "INT32" 1366457 T INT32 (NIL) -8 NIL NIL 1366502) (-561 1365036 1365598 1365663 "INT16" 1365697 T INT16 (NIL) -8 NIL NIL 1365742) (-560 1361240 1364833 1364942 "INT" 1364947 T INT (NIL) -8 NIL NIL NIL) (-559 1355349 1358788 1358816 "INS" 1359750 T INS (NIL) -9 NIL 1360415 NIL) (-558 1352506 1353426 1354367 "INS-" 1354440 NIL INS- (NIL T) -8 NIL NIL NIL) (-557 1351263 1351508 1351806 "INPSIGN" 1352259 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-556 1350357 1350498 1350695 "INPRODPF" 1351143 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-555 1349227 1349368 1349605 "INPRODFF" 1350237 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-554 1348215 1348379 1348639 "INNMFACT" 1349063 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-553 1347394 1347509 1347697 "INMODGCD" 1348114 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-552 1345878 1346147 1346471 "INFSP" 1347139 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-551 1345038 1345179 1345362 "INFPROD0" 1345758 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-550 1344636 1344708 1344806 "INFORM1" 1344973 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-549 1341203 1342701 1343216 "INFORM" 1344129 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340708 1340815 1340929 "INFINITY" 1341109 T INFINITY (NIL) -7 NIL NIL NIL) (-547 1339782 1340428 1340529 "INETCLTS" 1340627 T INETCLTS (NIL) -8 NIL NIL NIL) (-546 1338380 1338648 1338969 "INEP" 1339530 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-545 1337410 1338277 1338342 "INDE" 1338347 NIL INDE (NIL T) -8 NIL NIL NIL) (-544 1336962 1337042 1337159 "INCRMAPS" 1337337 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-543 1335684 1336231 1336437 "INBFILE" 1336776 T INBFILE (NIL) -8 NIL NIL NIL) (-542 1330864 1331920 1332864 "INBFF" 1334772 NIL INBFF (NIL T) -7 NIL NIL NIL) (-541 1329718 1330041 1330069 "INBCON" 1330582 T INBCON (NIL) -9 NIL 1330848 NIL) (-540 1328928 1329193 1329469 "INBCON-" 1329474 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-539 1328347 1328652 1328743 "INAST" 1328857 T INAST (NIL) -8 NIL NIL NIL) (-538 1327714 1328026 1328132 "IMPTAST" 1328261 T IMPTAST (NIL) -8 NIL NIL NIL) (-537 1323635 1327558 1327662 "IMATRIX" 1327667 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-536 1322327 1322466 1322782 "IMATQF" 1323491 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-535 1320507 1320774 1321111 "IMATLIN" 1322083 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-534 1314422 1320431 1320489 "ILIST" 1320494 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-533 1312088 1314282 1314395 "IIARRAY2" 1314400 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-532 1306909 1311999 1312063 "IFF" 1312068 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-531 1306190 1306526 1306642 "IFAST" 1306813 T IFAST (NIL) -8 NIL NIL NIL) (-530 1300702 1305482 1305670 "IFARRAY" 1306047 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-529 1299740 1300606 1300679 "IFAMON" 1300684 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-528 1299312 1299389 1299443 "IEVALAB" 1299650 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-527 1298975 1299055 1299215 "IEVALAB-" 1299220 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-526 1298008 1298864 1298939 "IDPOAMS" 1298944 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-525 1297110 1297897 1297972 "IDPOAM" 1297977 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-524 1296491 1297025 1297087 "IDPO" 1297092 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1294971 1295498 1295550 "IDPC" 1296062 NIL IDPC (NIL T T) -9 NIL 1296343 NIL) (-522 1294303 1294863 1294936 "IDPAM" 1294941 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-521 1293518 1294195 1294268 "IDPAG" 1294273 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-520 1293062 1293324 1293414 "IDENT" 1293448 T IDENT (NIL) -8 NIL NIL NIL) (-519 1289281 1290165 1291060 "IDECOMP" 1292219 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-518 1281916 1283204 1284251 "IDEAL" 1288317 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-517 1281058 1281188 1281388 "ICDEN" 1281800 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-516 1280033 1280538 1280685 "ICARD" 1280931 T ICARD (NIL) -8 NIL NIL NIL) (-515 1278063 1278406 1278811 "IBPTOOLS" 1279710 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-514 1273178 1277683 1277796 "IBITS" 1277982 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-513 1269853 1270477 1271172 "IBATOOL" 1272595 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-512 1267614 1268094 1268627 "IBACHIN" 1269388 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-511 1265204 1267460 1267563 "IARRAY2" 1267568 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-510 1260917 1265130 1265187 "IARRAY1" 1265192 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-509 1253934 1259329 1259810 "IAN" 1260456 T IAN (NIL) -8 NIL NIL NIL) (-508 1253439 1253502 1253675 "IALGFACT" 1253871 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-507 1252931 1253080 1253108 "HYPCAT" 1253315 T HYPCAT (NIL) -9 NIL NIL NIL) (-506 1252433 1252586 1252772 "HYPCAT-" 1252777 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-505 1251980 1252228 1252311 "HOSTNAME" 1252370 T HOSTNAME (NIL) -8 NIL NIL NIL) (-504 1251813 1251862 1251903 "HOMOTOP" 1251908 NIL HOMOTOP (NIL T) -9 NIL 1251941 NIL) (-503 1248246 1249745 1249786 "HOAGG" 1250767 NIL HOAGG (NIL T) -9 NIL 1251496 NIL) (-502 1246762 1247239 1247765 "HOAGG-" 1247770 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-501 1239819 1246355 1246505 "HEXADEC" 1246632 T HEXADEC (NIL) -8 NIL NIL NIL) (-500 1238531 1238789 1239052 "HEUGCD" 1239596 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-499 1237463 1238368 1238498 "HELLFDIV" 1238503 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-498 1235471 1237238 1237327 "HEAP" 1237406 NIL HEAP (NIL T) -8 NIL NIL NIL) (-497 1234668 1235023 1235157 "HEADAST" 1235357 T HEADAST (NIL) -8 NIL NIL NIL) (-496 1228006 1234583 1234645 "HDP" 1234650 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-495 1221025 1227641 1227793 "HDMP" 1227907 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-494 1220331 1220489 1220653 "HB" 1220881 T HB (NIL) -7 NIL NIL NIL) (-493 1213341 1220177 1220281 "HASHTBL" 1220286 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-492 1212757 1213062 1213154 "HASAST" 1213269 T HASAST (NIL) -8 NIL NIL NIL) (-491 1210170 1212379 1212561 "HACKPI" 1212595 T HACKPI (NIL) -8 NIL NIL NIL) (-490 1205342 1210023 1210136 "GTSET" 1210141 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-489 1198381 1205220 1205318 "GSTBL" 1205323 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-488 1190144 1197546 1197802 "GSERIES" 1198181 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-487 1189175 1189688 1189716 "GROUP" 1189919 T GROUP (NIL) -9 NIL 1190053 NIL) (-486 1188499 1188700 1188951 "GROUP-" 1188956 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-485 1186848 1187187 1187574 "GROEBSOL" 1188176 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-484 1185676 1186036 1186087 "GRMOD" 1186616 NIL GRMOD (NIL T T) -9 NIL 1186784 NIL) (-483 1185432 1185480 1185608 "GRMOD-" 1185613 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-482 1180572 1181786 1182786 "GRIMAGE" 1184452 T GRIMAGE (NIL) -8 NIL NIL NIL) (-481 1178966 1179299 1179623 "GRDEF" 1180268 T GRDEF (NIL) -7 NIL NIL NIL) (-480 1178398 1178526 1178667 "GRAY" 1178845 T GRAY (NIL) -7 NIL NIL NIL) (-479 1177475 1177977 1178028 "GRALG" 1178181 NIL GRALG (NIL T T) -9 NIL 1178274 NIL) (-478 1177112 1177209 1177372 "GRALG-" 1177377 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-477 1173593 1176695 1176874 "GPOLSET" 1177018 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-476 1172941 1173004 1173262 "GOSPER" 1173530 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-475 1168511 1169379 1169905 "GMODPOL" 1172640 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-474 1167498 1167700 1167938 "GHENSEL" 1168323 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-473 1161570 1162497 1163517 "GENUPS" 1166582 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-472 1161261 1161318 1161407 "GENUFACT" 1161513 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-471 1160661 1160750 1160915 "GENPGCD" 1161179 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-470 1160129 1160170 1160383 "GENMFACT" 1160620 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-469 1158666 1158952 1159259 "GENEEZ" 1159872 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-468 1151844 1158277 1158439 "GDMP" 1158589 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-467 1140582 1145615 1146721 "GCNAALG" 1150827 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-466 1138709 1139757 1139785 "GCDDOM" 1140040 T GCDDOM (NIL) -9 NIL 1140197 NIL) (-465 1138149 1138306 1138521 "GCDDOM-" 1138526 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-464 1126621 1129095 1131487 "GBINTERN" 1135840 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-463 1124422 1124750 1125171 "GBF" 1126296 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-462 1123179 1123368 1123635 "GBEUCLID" 1124238 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-461 1121829 1122036 1122340 "GB" 1122958 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-460 1121160 1121303 1121452 "GAUSSFAC" 1121700 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-459 1119481 1119829 1120143 "GALUTIL" 1120879 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-458 1117741 1118063 1118387 "GALPOLYU" 1119208 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-457 1115040 1115396 1115803 "GALFACTU" 1117438 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-456 1106654 1108345 1109953 "GALFACT" 1113472 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-455 1103940 1104700 1104728 "FVFUN" 1105884 T FVFUN (NIL) -9 NIL 1106604 NIL) (-454 1103170 1103388 1103416 "FVC" 1103707 T FVC (NIL) -9 NIL 1103890 NIL) (-453 1102771 1102995 1103063 "FUNDESC" 1103122 T FUNDESC (NIL) -8 NIL NIL NIL) (-452 1102344 1102568 1102649 "FUNCTION" 1102723 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-451 1101021 1101645 1101848 "FTEM" 1102161 T FTEM (NIL) -8 NIL NIL NIL) (-450 1098651 1099343 1099809 "FT" 1100575 T FT (NIL) -8 NIL NIL NIL) (-449 1096920 1097231 1097628 "FSUPFACT" 1098342 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-448 1095239 1095606 1095938 "FST" 1096608 T FST (NIL) -8 NIL NIL NIL) (-447 1094420 1094544 1094732 "FSRED" 1095121 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-446 1093109 1093375 1093722 "FSPRMELT" 1094135 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-445 1090319 1090853 1091339 "FSPECF" 1092672 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-444 1089841 1089901 1090071 "FSINT" 1090260 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-443 1087977 1088834 1089137 "FSERIES" 1089620 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-442 1087001 1087135 1087359 "FSCINT" 1087857 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-441 1086025 1086186 1086413 "FSAGG2" 1086854 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-440 1081889 1084969 1085010 "FSAGG" 1085380 NIL FSAGG (NIL T) -9 NIL 1085639 NIL) (-439 1079489 1080252 1081048 "FSAGG-" 1081143 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-438 1077149 1077447 1077995 "FS2UPS" 1079207 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-437 1076015 1076198 1076500 "FS2EXPXP" 1076974 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-436 1075643 1075692 1075821 "FS2" 1075966 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-435 1055881 1065417 1065458 "FS" 1069342 NIL FS (NIL T) -9 NIL 1071631 NIL) (-434 1043942 1047517 1051574 "FS-" 1051874 NIL FS- (NIL T T) -8 NIL NIL NIL) (-433 1043356 1043483 1043635 "FRUTIL" 1043822 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-432 1037867 1041045 1041085 "FRNAALG" 1042405 NIL FRNAALG (NIL T) -9 NIL 1043003 NIL) (-431 1033348 1034616 1035891 "FRNAALG-" 1036641 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-430 1032980 1033029 1033156 "FRNAAF2" 1033299 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-429 1031267 1031829 1032125 "FRMOD" 1032792 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-428 1030452 1030545 1030836 "FRIDEAL2" 1031174 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-427 1028057 1028827 1029145 "FRIDEAL" 1030243 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-426 1027148 1027604 1027645 "FRETRCT" 1027650 NIL FRETRCT (NIL T) -9 NIL 1027826 NIL) (-425 1026206 1026491 1026842 "FRETRCT-" 1026847 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-424 1023027 1024490 1024549 "FRAMALG" 1025431 NIL FRAMALG (NIL T T) -9 NIL 1025723 NIL) (-423 1021065 1021616 1022246 "FRAMALG-" 1022469 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-422 1020695 1020758 1020865 "FRAC2" 1021002 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-421 1013688 1020168 1020445 "FRAC" 1020450 NIL FRAC (NIL T) -8 NIL NIL NIL) (-420 1013318 1013381 1013488 "FR2" 1013625 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-419 1004235 1008813 1010171 "FR" 1011992 NIL FR (NIL T) -8 NIL NIL NIL) (-418 998154 1001614 1001642 "FPS" 1002761 T FPS (NIL) -9 NIL 1003318 NIL) (-417 997579 997712 997876 "FPS-" 998022 NIL FPS- (NIL T) -8 NIL NIL NIL) (-416 994545 996536 996564 "FPC" 996789 T FPC (NIL) -9 NIL 996931 NIL) (-415 994326 994378 994475 "FPC-" 994480 NIL FPC- (NIL T) -8 NIL NIL NIL) (-414 993084 993814 993855 "FPATMAB" 993860 NIL FPATMAB (NIL T) -9 NIL 994012 NIL) (-413 991227 991826 992173 "FPARFRAC" 992800 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-412 986519 987119 987801 "FORTRAN" 990659 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-411 984093 984757 984785 "FORTFN" 985845 T FORTFN (NIL) -9 NIL 986469 NIL) (-410 983845 983907 983935 "FORTCAT" 983994 T FORTCAT (NIL) -9 NIL 984056 NIL) (-409 981531 982061 982600 "FORT" 983326 T FORT (NIL) -7 NIL NIL NIL) (-408 981313 981349 981418 "FORMULA1" 981495 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-407 979317 979929 980319 "FORMULA" 980943 T FORMULA (NIL) -8 NIL NIL NIL) (-406 978834 978892 979065 "FORDER" 979259 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-405 977894 978094 978287 "FOP" 978661 T FOP (NIL) -7 NIL NIL NIL) (-404 976307 977174 977348 "FNLA" 977776 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-403 974926 975437 975465 "FNCAT" 975925 T FNCAT (NIL) -9 NIL 976185 NIL) (-402 974369 974885 974913 "FNAME" 974918 T FNAME (NIL) -8 NIL NIL NIL) (-401 972695 973868 973896 "FMTC" 973901 T FMTC (NIL) -9 NIL 973937 NIL) (-400 971244 972631 972677 "FMONOID" 972682 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-399 967833 969199 969240 "FMONCAT" 970457 NIL FMONCAT (NIL T) -9 NIL 971062 NIL) (-398 965155 965903 965931 "FMFUN" 967075 T FMFUN (NIL) -9 NIL 967783 NIL) (-397 962028 963080 963134 "FMCAT" 964329 NIL FMCAT (NIL T T) -9 NIL 964824 NIL) (-396 961261 961478 961506 "FMC" 961796 T FMC (NIL) -9 NIL 961978 NIL) (-395 959929 961027 961127 "FM1" 961206 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-394 958947 959671 959820 "FM" 959825 NIL FM (NIL T T) -8 NIL NIL NIL) (-393 956685 957137 957631 "FLOATRP" 958498 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-392 954087 954623 955201 "FLOATCP" 956152 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-391 946750 951816 952437 "FLOAT" 953486 T FLOAT (NIL) -8 NIL NIL NIL) (-390 945268 946342 946383 "FLINEXP" 946388 NIL FLINEXP (NIL T) -9 NIL 946481 NIL) (-389 944398 944657 944985 "FLINEXP-" 944990 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-388 943456 943618 943842 "FLASORT" 944250 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-387 940374 941426 941478 "FLALG" 942705 NIL FLALG (NIL T T) -9 NIL 943172 NIL) (-386 939398 939559 939786 "FLAGG2" 940227 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-385 932653 936807 936848 "FLAGG" 938110 NIL FLAGG (NIL T) -9 NIL 938762 NIL) (-384 931307 931718 932208 "FLAGG-" 932213 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 927945 929152 929211 "FINRALG" 930339 NIL FINRALG (NIL T T) -9 NIL 930847 NIL) (-382 927069 927334 927673 "FINRALG-" 927678 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-381 926375 926674 926702 "FINITE" 926898 T FINITE (NIL) -9 NIL 927005 NIL) (-380 918326 920905 920945 "FINAALG" 924612 NIL FINAALG (NIL T) -9 NIL 926065 NIL) (-379 913442 914708 915852 "FINAALG-" 917231 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-378 912002 912424 912478 "FILECAT" 913162 NIL FILECAT (NIL T T) -9 NIL 913378 NIL) (-377 911280 911757 911860 "FILE" 911932 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 908683 910510 910538 "FIELD" 910578 T FIELD (NIL) -9 NIL 910658 NIL) (-375 907225 907688 908199 "FIELD-" 908204 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-374 904908 905860 906207 "FGROUP" 906911 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-373 903980 904162 904382 "FGLMICPK" 904740 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-372 899235 903905 903962 "FFX" 903967 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-371 898830 898897 899032 "FFSLPE" 899168 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-370 898328 898370 898579 "FFPOLY2" 898788 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-369 894204 895100 895896 "FFPOLY" 897564 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 889473 894123 894186 "FFP" 894191 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-367 884004 888816 889006 "FFNBX" 889327 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-366 878337 883139 883397 "FFNBP" 883858 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-365 872375 877621 877832 "FFNB" 878170 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-364 871195 871405 871720 "FFINTBAS" 872172 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-363 866788 869442 869470 "FFIELDC" 870090 T FFIELDC (NIL) -9 NIL 870466 NIL) (-362 865408 865849 866332 "FFIELDC-" 866337 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-361 864965 865023 865147 "FFHOM" 865350 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-360 862624 863147 863664 "FFF" 864480 NIL FFF (NIL T) -7 NIL NIL NIL) (-359 857659 862366 862467 "FFCGX" 862567 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-358 852698 857391 857498 "FFCGP" 857602 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-357 847298 852425 852533 "FFCG" 852634 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-356 846703 846752 846987 "FFCAT2" 847249 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-355 825385 836435 836521 "FFCAT" 841686 NIL FFCAT (NIL T T T) -9 NIL 843137 NIL) (-354 820396 821630 822944 "FFCAT-" 824174 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-353 815217 820307 820371 "FF" 820376 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-352 803870 808189 809409 "FEXPR" 814069 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-351 802798 803267 803308 "FEVALAB" 803392 NIL FEVALAB (NIL T) -9 NIL 803653 NIL) (-350 801915 802167 802505 "FEVALAB-" 802510 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-349 798777 799662 799777 "FDIVCAT" 801345 NIL FDIVCAT (NIL T T T T) -9 NIL 801782 NIL) (-348 798533 798566 798736 "FDIVCAT-" 798741 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-347 797747 797840 798117 "FDIV2" 798440 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-346 796157 797130 797333 "FDIV" 797646 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-345 795065 795452 795654 "FCTRDATA" 795975 T FCTRDATA (NIL) -8 NIL NIL NIL) (-344 793721 794010 794299 "FCPAK1" 794796 T FCPAK1 (NIL) -7 NIL NIL NIL) (-343 792724 793221 793362 "FCOMP" 793612 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-342 776038 779874 783412 "FC" 789206 T FC (NIL) -8 NIL NIL NIL) (-341 767747 772359 772399 "FAXF" 774201 NIL FAXF (NIL T) -9 NIL 774893 NIL) (-340 764888 765695 766513 "FAXF-" 766978 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-339 759457 764264 764440 "FARRAY" 764745 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-338 754022 756404 756457 "FAMR" 757480 NIL FAMR (NIL T T) -9 NIL 757940 NIL) (-337 752846 753214 753649 "FAMR-" 753654 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-336 751873 752768 752821 "FAMONOID" 752826 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-335 749503 750355 750408 "FAMONC" 751349 NIL FAMONC (NIL T T) -9 NIL 751735 NIL) (-334 747977 749257 749394 "FAGROUP" 749399 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-333 745730 746091 746494 "FACUTIL" 747658 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-332 744817 745014 745236 "FACTFUNC" 745540 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-331 736558 744120 744319 "EXPUPXS" 744673 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-330 734011 734581 735167 "EXPRTUBE" 735992 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-329 730222 730874 731604 "EXPRODE" 733350 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-328 724656 725363 726169 "EXPR2UPS" 729520 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-327 724282 724345 724454 "EXPR2" 724593 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-326 708590 722931 723360 "EXPR" 723886 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 698928 707741 708032 "EXPEXPAN" 708426 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-324 698348 698652 698743 "EXITAST" 698857 T EXITAST (NIL) -8 NIL NIL NIL) (-323 698112 698305 698334 "EXIT" 698339 T EXIT (NIL) -8 NIL NIL NIL) (-322 697733 697801 697914 "EVALCYC" 698044 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-321 697250 697392 697433 "EVALAB" 697603 NIL EVALAB (NIL T) -9 NIL 697707 NIL) (-320 696707 696853 697074 "EVALAB-" 697079 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-319 693822 695363 695391 "EUCDOM" 695946 T EUCDOM (NIL) -9 NIL 696296 NIL) (-318 692182 692683 693266 "EUCDOM-" 693271 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-317 691808 691871 691980 "ESTOOLS2" 692119 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-316 691553 691601 691681 "ESTOOLS1" 691760 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-315 678870 681851 684601 "ESTOOLS" 688823 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 678609 678647 678729 "ESCONT1" 678832 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-313 674917 675744 676524 "ESCONT" 677849 T ESCONT (NIL) -7 NIL NIL NIL) (-312 674586 674642 674742 "ES2" 674861 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-311 674210 674274 674383 "ES1" 674522 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-310 667911 669841 669869 "ES" 672637 T ES (NIL) -9 NIL 674047 NIL) (-309 662588 664145 665962 "ES-" 666126 NIL ES- (NIL T) -8 NIL NIL NIL) (-308 661780 661933 662109 "ERROR" 662432 T ERROR (NIL) -7 NIL NIL NIL) (-307 654796 661639 661730 "EQTBL" 661735 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-306 654422 654485 654594 "EQ2" 654733 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-305 646681 649736 651185 "EQ" 653006 NIL -1502 (NIL T) -8 NIL NIL NIL) (-304 641923 643019 644112 "EP" 645620 NIL EP (NIL T) -7 NIL NIL NIL) (-303 640463 640814 641120 "ENV" 641637 T ENV (NIL) -8 NIL NIL NIL) (-302 639423 640097 640125 "ENTIRER" 640130 T ENTIRER (NIL) -9 NIL 640176 NIL) (-301 635842 637605 637966 "EMR" 639231 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-300 634946 635157 635211 "ELTAGG" 635591 NIL ELTAGG (NIL T T) -9 NIL 635802 NIL) (-299 634653 634727 634868 "ELTAGG-" 634873 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-298 634411 634446 634500 "ELTAB" 634584 NIL ELTAB (NIL T T) -9 NIL 634636 NIL) (-297 633513 633683 633882 "ELFUTS" 634262 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-296 633237 633311 633339 "ELEMFUN" 633444 T ELEMFUN (NIL) -9 NIL NIL NIL) (-295 633101 633128 633196 "ELEMFUN-" 633201 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-294 627512 631143 631184 "ELAGG" 632124 NIL ELAGG (NIL T) -9 NIL 632587 NIL) (-293 625689 626231 626894 "ELAGG-" 626899 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-292 624971 625138 625294 "ELABOR" 625553 T ELABOR (NIL) -8 NIL NIL NIL) (-291 623577 623911 624205 "ELABEXPR" 624697 T ELABEXPR (NIL) -8 NIL NIL NIL) (-290 616089 618214 619043 "EFUPXS" 622852 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-289 609215 611338 612149 "EFULS" 615364 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-288 606652 607058 607530 "EFSTRUC" 608847 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-287 596090 598009 599557 "EF" 605167 NIL EF (NIL T T) -7 NIL NIL NIL) (-286 595068 595575 595724 "EAB" 595961 T EAB (NIL) -8 NIL NIL NIL) (-285 594190 595027 595055 "E04UCFA" 595060 T E04UCFA (NIL) -8 NIL NIL NIL) (-284 593312 594149 594177 "E04NAFA" 594182 T E04NAFA (NIL) -8 NIL NIL NIL) (-283 592434 593271 593299 "E04MBFA" 593304 T E04MBFA (NIL) -8 NIL NIL NIL) (-282 591556 592393 592421 "E04JAFA" 592426 T E04JAFA (NIL) -8 NIL NIL NIL) (-281 590680 591515 591543 "E04GCFA" 591548 T E04GCFA (NIL) -8 NIL NIL NIL) (-280 589804 590639 590667 "E04FDFA" 590672 T E04FDFA (NIL) -8 NIL NIL NIL) (-279 588926 589763 589791 "E04DGFA" 589796 T E04DGFA (NIL) -8 NIL NIL NIL) (-278 583003 584451 585815 "E04AGNT" 587582 T E04AGNT (NIL) -7 NIL NIL NIL) (-277 581623 582304 582344 "DVARCAT" 582685 NIL DVARCAT (NIL T) -9 NIL 582848 NIL) (-276 580773 581039 581353 "DVARCAT-" 581358 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-275 572741 580572 580701 "DSMP" 580706 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-274 571092 571883 571924 "DSEXT" 572287 NIL DSEXT (NIL T) -9 NIL 572581 NIL) (-273 569281 569805 570471 "DSEXT-" 570476 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-272 568940 569005 569103 "DROPT1" 569216 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-271 563959 565181 566318 "DROPT0" 567823 T DROPT0 (NIL) -7 NIL NIL NIL) (-270 558542 559904 560972 "DROPT" 562911 T DROPT (NIL) -8 NIL NIL NIL) (-269 556851 557212 557598 "DRAWPT" 558176 T DRAWPT (NIL) -7 NIL NIL NIL) (-268 556478 556537 556655 "DRAWHACK" 556792 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-267 555179 555478 555769 "DRAWCX" 556207 T DRAWCX (NIL) -7 NIL NIL NIL) (-266 554688 554763 554914 "DRAWCURV" 555105 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-265 545006 547118 549233 "DRAWCFUN" 552593 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-264 539497 540516 541595 "DRAW" 543980 NIL DRAW (NIL T) -7 NIL NIL NIL) (-263 535968 538162 538203 "DQAGG" 538832 NIL DQAGG (NIL T) -9 NIL 539106 NIL) (-262 522551 530179 530262 "DPOLCAT" 532114 NIL DPOLCAT (NIL T T T T) -9 NIL 532659 NIL) (-261 517070 518736 520694 "DPOLCAT-" 520699 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-260 509878 516931 517029 "DPMO" 517034 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-259 502583 509658 509825 "DPMM" 509830 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-258 502105 502367 502456 "DOMTMPLT" 502514 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-257 501454 501907 501987 "DOMCTOR" 502045 T DOMCTOR (NIL) -8 NIL NIL NIL) (-256 500606 500934 501085 "DOMAIN" 501323 T DOMAIN (NIL) -8 NIL NIL NIL) (-255 493625 500241 500393 "DMP" 500507 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-254 491402 492692 492733 "DMEXT" 492738 NIL DMEXT (NIL T) -9 NIL 492914 NIL) (-253 490996 491058 491202 "DLP" 491340 NIL DLP (NIL T) -7 NIL NIL NIL) (-252 484119 490323 490513 "DLIST" 490838 NIL DLIST (NIL T) -8 NIL NIL NIL) (-251 480657 482944 482985 "DLAGG" 483535 NIL DLAGG (NIL T) -9 NIL 483765 NIL) (-250 479169 479983 480011 "DIVRING" 480103 T DIVRING (NIL) -9 NIL 480186 NIL) (-249 478352 478596 478896 "DIVRING-" 478901 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-248 476394 476811 477217 "DISPLAY" 477966 T DISPLAY (NIL) -7 NIL NIL NIL) (-247 475224 475445 475710 "DIRPROD2" 476187 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-246 468582 475138 475201 "DIRPROD" 475206 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 456745 463293 463346 "DIRPCAT" 463604 NIL DIRPCAT (NIL NIL T) -9 NIL 464479 NIL) (-244 453945 454713 455594 "DIRPCAT-" 455931 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-243 453226 453392 453578 "DIOSP" 453779 T DIOSP (NIL) -7 NIL NIL NIL) (-242 449640 452110 452151 "DIOPS" 452585 NIL DIOPS (NIL T) -9 NIL 452814 NIL) (-241 449159 449303 449494 "DIOPS-" 449499 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-240 448066 448838 448866 "DIFRING" 448871 T DIFRING (NIL) -9 NIL 448893 NIL) (-239 447714 447812 447840 "DIFFSPC" 447959 T DIFFSPC (NIL) -9 NIL 448034 NIL) (-238 447335 447437 447589 "DIFFSPC-" 447594 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-237 446271 446869 446910 "DIFFMOD" 446915 NIL DIFFMOD (NIL T) -9 NIL 447013 NIL) (-236 445967 446024 446065 "DIFFDOM" 446186 NIL DIFFDOM (NIL T) -9 NIL 446254 NIL) (-235 445814 445844 445928 "DIFFDOM-" 445933 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-234 443554 445018 445059 "DIFEXT" 445064 NIL DIFEXT (NIL T) -9 NIL 445217 NIL) (-233 440588 443058 443099 "DIAGG" 443104 NIL DIAGG (NIL T) -9 NIL 443124 NIL) (-232 439936 440129 440381 "DIAGG-" 440386 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-231 434786 438895 439172 "DHMATRIX" 439705 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-230 430254 431307 432317 "DFSFUN" 433796 T DFSFUN (NIL) -7 NIL NIL NIL) (-229 424495 429185 429497 "DFLOAT" 429962 T DFLOAT (NIL) -8 NIL NIL NIL) (-228 422734 423039 423428 "DFINTTLS" 424203 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-227 419553 420755 421155 "DERHAM" 422400 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-226 417089 419328 419417 "DEQUEUE" 419497 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-225 416331 416476 416659 "DEGRED" 416951 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-224 412737 413506 414352 "DEFINTRF" 415559 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-223 410274 410761 411353 "DEFINTEF" 412256 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-222 409558 409894 410009 "DEFAST" 410179 T DEFAST (NIL) -8 NIL NIL NIL) (-221 402615 409151 409301 "DECIMAL" 409428 T DECIMAL (NIL) -8 NIL NIL NIL) (-220 400073 400585 401091 "DDFACT" 402159 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-219 399663 399712 399863 "DBLRESP" 400024 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-218 398864 399433 399524 "DBASIS" 399612 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-217 396648 397094 397455 "DBASE" 398630 NIL DBASE (NIL T) -8 NIL NIL NIL) (-216 395836 396128 396274 "DATAARY" 396547 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-215 394894 395795 395823 "D03FAFA" 395828 T D03FAFA (NIL) -8 NIL NIL NIL) (-214 393953 394853 394881 "D03EEFA" 394886 T D03EEFA (NIL) -8 NIL NIL NIL) (-213 391879 392369 392858 "D03AGNT" 393484 T D03AGNT (NIL) -7 NIL NIL NIL) (-212 391120 391838 391866 "D02EJFA" 391871 T D02EJFA (NIL) -8 NIL NIL NIL) (-211 390361 391079 391107 "D02CJFA" 391112 T D02CJFA (NIL) -8 NIL NIL NIL) (-210 389602 390320 390348 "D02BHFA" 390353 T D02BHFA (NIL) -8 NIL NIL NIL) (-209 388843 389561 389589 "D02BBFA" 389594 T D02BBFA (NIL) -8 NIL NIL NIL) (-208 381974 383629 385235 "D02AGNT" 387257 T D02AGNT (NIL) -7 NIL NIL NIL) (-207 379724 380265 380811 "D01WGTS" 381448 T D01WGTS (NIL) -7 NIL NIL NIL) (-206 378731 379683 379711 "D01TRNS" 379716 T D01TRNS (NIL) -8 NIL NIL NIL) (-205 377739 378690 378718 "D01GBFA" 378723 T D01GBFA (NIL) -8 NIL NIL NIL) (-204 376747 377698 377726 "D01FCFA" 377731 T D01FCFA (NIL) -8 NIL NIL NIL) (-203 375755 376706 376734 "D01ASFA" 376739 T D01ASFA (NIL) -8 NIL NIL NIL) (-202 374763 375714 375742 "D01AQFA" 375747 T D01AQFA (NIL) -8 NIL NIL NIL) (-201 373771 374722 374750 "D01APFA" 374755 T D01APFA (NIL) -8 NIL NIL NIL) (-200 372779 373730 373758 "D01ANFA" 373763 T D01ANFA (NIL) -8 NIL NIL NIL) (-199 371787 372738 372766 "D01AMFA" 372771 T D01AMFA (NIL) -8 NIL NIL NIL) (-198 370795 371746 371774 "D01ALFA" 371779 T D01ALFA (NIL) -8 NIL NIL NIL) (-197 369803 370754 370782 "D01AKFA" 370787 T D01AKFA (NIL) -8 NIL NIL NIL) (-196 368811 369762 369790 "D01AJFA" 369795 T D01AJFA (NIL) -8 NIL NIL NIL) (-195 362034 363659 365220 "D01AGNT" 367270 T D01AGNT (NIL) -7 NIL NIL NIL) (-194 361353 361499 361651 "CYCLOTOM" 361902 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-193 358008 358801 359528 "CYCLES" 360646 T CYCLES (NIL) -7 NIL NIL NIL) (-192 357308 357454 357625 "CVMP" 357869 NIL CVMP (NIL T) -7 NIL NIL NIL) (-191 355095 355407 355776 "CTRIGMNP" 357036 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-190 354568 354826 354927 "CTORKIND" 355014 T CTORKIND (NIL) -8 NIL NIL NIL) (-189 353773 354161 354189 "CTORCAT" 354371 T CTORCAT (NIL) -9 NIL 354484 NIL) (-188 353347 353482 353641 "CTORCAT-" 353646 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-187 352761 353021 353129 "CTORCALL" 353271 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-186 352119 352555 352628 "CTOR" 352708 T CTOR (NIL) -8 NIL NIL NIL) (-185 351475 351592 351745 "CSTTOOLS" 352016 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-184 347172 347931 348689 "CRFP" 350787 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-183 346587 346893 346985 "CRCEAST" 347100 T CRCEAST (NIL) -8 NIL NIL NIL) (-182 345610 345819 346047 "CRAPACK" 346391 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-181 344990 345095 345299 "CPMATCH" 345486 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-180 344709 344743 344849 "CPIMA" 344956 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-179 340967 341729 342448 "COORDSYS" 344044 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-178 340355 340500 340642 "CONTOUR" 340845 T CONTOUR (NIL) -8 NIL NIL NIL) (-177 335826 338358 338850 "CONTFRAC" 339895 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-176 335700 335727 335755 "CONDUIT" 335792 T CONDUIT (NIL) -9 NIL NIL NIL) (-175 334654 335328 335356 "COMRING" 335361 T COMRING (NIL) -9 NIL 335413 NIL) (-174 333636 334012 334196 "COMPPROP" 334490 T COMPPROP (NIL) -8 NIL NIL NIL) (-173 333291 333332 333460 "COMPLPAT" 333595 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-172 332921 332984 333091 "COMPLEX2" 333228 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-171 321325 332730 332839 "COMPLEX" 332844 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320646 320785 320945 "COMPILER" 321185 T COMPILER (NIL) -8 NIL NIL NIL) (-169 320358 320399 320497 "COMPFACT" 320605 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-168 301752 314062 314102 "COMPCAT" 315106 NIL COMPCAT (NIL T) -9 NIL 316454 NIL) (-167 290640 294191 297818 "COMPCAT-" 298174 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-166 290363 290397 290500 "COMMUPC" 290606 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-165 290151 290191 290250 "COMMONOP" 290324 T COMMONOP (NIL) -7 NIL NIL NIL) (-164 289673 289955 290030 "COMMAAST" 290096 T COMMAAST (NIL) -8 NIL NIL NIL) (-163 289180 289424 289511 "COMM" 289606 T COMM (NIL) -8 NIL NIL NIL) (-162 288375 288623 288651 "COMBOPC" 288989 T COMBOPC (NIL) -9 NIL 289164 NIL) (-161 287229 287481 287723 "COMBINAT" 288165 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-160 283572 284260 284887 "COMBF" 286651 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-159 282234 282688 282923 "COLOR" 283357 T COLOR (NIL) -8 NIL NIL NIL) (-158 281650 281955 282047 "COLONAST" 282162 T COLONAST (NIL) -8 NIL NIL NIL) (-157 281284 281337 281462 "CMPLXRT" 281597 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-156 280672 280984 281083 "CLLCTAST" 281205 T CLLCTAST (NIL) -8 NIL NIL NIL) (-155 276131 277202 278282 "CLIP" 279612 T CLIP (NIL) -7 NIL NIL NIL) (-154 274304 275232 275472 "CLIF" 275958 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-153 270286 272422 272463 "CLAGG" 273392 NIL CLAGG (NIL T) -9 NIL 273928 NIL) (-152 268630 269165 269748 "CLAGG-" 269753 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-151 268168 268259 268399 "CINTSLPE" 268539 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-150 265633 266140 266688 "CHVAR" 267696 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-149 264673 265347 265375 "CHARZ" 265380 T CHARZ (NIL) -9 NIL 265395 NIL) (-148 264421 264467 264545 "CHARPOL" 264627 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-147 263339 264045 264073 "CHARNZ" 264134 T CHARNZ (NIL) -9 NIL 264183 NIL) (-146 260283 261393 261922 "CHAR" 262830 T CHAR (NIL) -8 NIL NIL NIL) (-145 259991 260070 260098 "CFCAT" 260209 T CFCAT (NIL) -9 NIL NIL NIL) (-144 259214 259343 259526 "CDEN" 259875 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-143 254811 258367 258647 "CCLASS" 258954 T CCLASS (NIL) -8 NIL NIL NIL) (-142 254032 254219 254396 "CATEGORY" 254654 T -10 (NIL) -8 NIL NIL NIL) (-141 253527 253951 253999 "CATCTOR" 254004 T CATCTOR (NIL) -8 NIL NIL NIL) (-140 252918 253230 253328 "CATAST" 253449 T CATAST (NIL) -8 NIL NIL NIL) (-139 252334 252639 252731 "CASEAST" 252846 T CASEAST (NIL) -8 NIL NIL NIL) (-138 251430 251590 251811 "CARTEN2" 252181 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-137 246327 247587 248331 "CARTEN" 250742 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 244457 245477 245734 "CARD" 246090 T CARD (NIL) -8 NIL NIL NIL) (-135 243979 244261 244336 "CAPSLAST" 244402 T CAPSLAST (NIL) -8 NIL NIL NIL) (-134 243421 243677 243705 "CACHSET" 243837 T CACHSET (NIL) -9 NIL 243915 NIL) (-133 242811 243199 243227 "CABMON" 243277 T CABMON (NIL) -9 NIL 243333 NIL) (-132 242248 242515 242625 "BYTEORD" 242721 T BYTEORD (NIL) -8 NIL NIL NIL) (-131 237175 241753 241925 "BYTEBUF" 242096 T BYTEBUF (NIL) -8 NIL NIL NIL) (-130 236006 236718 236853 "BYTE" 237016 T BYTE (NIL) -8 NIL NIL 237131) (-129 233268 235698 235805 "BTREE" 235932 NIL BTREE (NIL T) -8 NIL NIL NIL) (-128 230470 232916 233038 "BTOURN" 233178 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-127 227577 229912 229953 "BTCAT" 230021 NIL BTCAT (NIL T) -9 NIL 230098 NIL) (-126 227226 227324 227473 "BTCAT-" 227478 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-125 222115 226472 226500 "BTAGG" 226614 T BTAGG (NIL) -9 NIL 226724 NIL) (-124 221569 221730 221936 "BTAGG-" 221941 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-123 218305 220847 221062 "BSTREE" 221386 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-122 217413 217569 217753 "BRILL" 218161 NIL BRILL (NIL T) -7 NIL NIL NIL) (-121 213808 216111 216152 "BRAGG" 216801 NIL BRAGG (NIL T) -9 NIL 217059 NIL) (-120 212241 212743 213298 "BRAGG-" 213303 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-119 204498 211585 211770 "BPADICRT" 212088 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-118 202514 204435 204480 "BPADIC" 204485 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-117 202206 202242 202356 "BOUNDZRO" 202478 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-116 199933 200391 200866 "BOP1" 201764 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-115 194915 196359 197271 "BOP" 199041 T BOP (NIL) -8 NIL NIL NIL) (-114 193580 194503 194645 "BOOLEAN" 194793 T BOOLEAN (NIL) -8 NIL NIL NIL) (-113 193173 193330 193358 "BOOLE" 193469 T BOOLE (NIL) -9 NIL 193550 NIL) (-112 193041 193068 193134 "BOOLE-" 193139 NIL BOOLE- (NIL T) -8 NIL NIL NIL) (-111 192210 192710 192764 "BMODULE" 192769 NIL BMODULE (NIL T T) -9 NIL 192834 NIL) (-110 187531 192008 192081 "BITS" 192157 T BITS (NIL) -8 NIL NIL NIL) (-109 186928 187071 187211 "BINDING" 187411 T BINDING (NIL) -8 NIL NIL NIL) (-108 179988 186523 186672 "BINARY" 186799 T BINARY (NIL) -8 NIL NIL NIL) (-107 177595 179215 179256 "BGAGG" 179516 NIL BGAGG (NIL T) -9 NIL 179653 NIL) (-106 177420 177458 177549 "BGAGG-" 177554 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176443 176804 177009 "BFUNCT" 177235 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175113 175311 175599 "BEZOUT" 176267 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171311 173965 174295 "BBTREE" 174816 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170894 170990 171018 "BASTYPE" 171195 T BASTYPE (NIL) -9 NIL 171294 NIL) (-101 170552 170651 170786 "BASTYPE-" 170791 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 169974 170062 170214 "BALFACT" 170463 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168710 169389 169575 "AUTOMOR" 169819 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168436 168441 168467 "ATTREG" 168472 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166598 167133 167485 "ATTRBUT" 168102 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166152 166426 166492 "ATTRAST" 166550 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165652 165801 165827 "ATRIG" 166028 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165449 165502 165589 "ATRIG-" 165594 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165032 165266 165292 "ASTCAT" 165297 T ASTCAT (NIL) -9 NIL 165327 NIL) (-92 164741 164818 164937 "ASTCAT-" 164942 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162715 164517 164605 "ASTACK" 164684 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161204 161517 161882 "ASSOCEQ" 162397 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160128 160863 160987 "ASP9" 161111 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 158888 159733 159875 "ASP80" 160017 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-87 158615 158836 158875 "ASP8" 158880 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-86 157461 158292 158410 "ASP78" 158528 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-85 156322 157141 157258 "ASP77" 157375 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-84 155126 155960 156091 "ASP74" 156222 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-83 153918 154761 154893 "ASP73" 155025 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-82 152708 153553 153685 "ASP7" 153817 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-81 151704 152534 152634 "ASP6" 152639 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150543 151381 151499 "ASP55" 151617 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149384 150217 150336 "ASP50" 150455 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148364 149085 149195 "ASP49" 149305 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-77 147040 147903 148071 "ASP42" 148253 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-76 145709 146573 146743 "ASP41" 146927 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144689 145410 145520 "ASP4" 145630 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-74 143531 144366 144484 "ASP35" 144602 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143260 143479 143518 "ASP34" 143523 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 142979 143064 143140 "ASP33" 143215 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141765 142614 142746 "ASP31" 142878 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141494 141713 141752 "ASP30" 141757 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141211 141298 141374 "ASP29" 141449 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140940 141159 141198 "ASP28" 141203 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140669 140888 140927 "ASP27" 140932 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139645 140367 140478 "ASP24" 140589 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138614 139447 139559 "ASP20" 139564 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137449 138288 138407 "ASP19" 138526 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-63 137168 137253 137329 "ASP12" 137404 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-62 135912 136767 136911 "ASP10" 137055 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-61 134892 135613 135723 "ASP1" 135833 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-60 132504 134736 134827 "ARRAY2" 134832 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 131518 131709 131930 "ARRAY12" 132327 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-58 126878 131166 131280 "ARRAY1" 131435 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-57 120923 123080 123155 "ARR2CAT" 125785 NIL ARR2CAT (NIL T T T) -9 NIL 126543 NIL) (-56 118213 119101 120055 "ARR2CAT-" 120060 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117464 117840 117965 "ARITY" 118106 T ARITY (NIL) -8 NIL NIL NIL) (-54 116222 116392 116691 "APPRULE" 117300 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115867 115921 116040 "APPLYORE" 116168 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115121 115268 115425 "ANY1" 115741 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-51 114421 114714 114834 "ANY" 115019 T ANY (NIL) -8 NIL NIL NIL) (-50 111747 112858 113185 "ANTISYM" 114145 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111191 111454 111550 "ANON" 111669 T ANON (NIL) -8 NIL NIL NIL) (-48 104354 109730 110184 "AN" 110755 T AN (NIL) -8 NIL NIL NIL) (-47 100017 101626 101677 "AMR" 102425 NIL AMR (NIL T T) -9 NIL 103025 NIL) (-46 99069 99350 99713 "AMR-" 99718 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82538 98986 99047 "ALIST" 99052 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78835 82132 82301 "ALGSC" 82456 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75285 75945 76552 "ALGPKG" 78275 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74550 74663 74847 "ALGMFACT" 75171 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70533 71164 71758 "ALGMANIP" 74134 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59893 70159 70309 "ALGFF" 70466 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59065 59220 59399 "ALGFACT" 59751 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57854 58592 58630 "ALGEBRA" 58635 NIL ALGEBRA (NIL T) -9 NIL 58676 NIL) (-37 57554 57631 57763 "ALGEBRA-" 57768 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38508 55391 55443 "ALAGG" 55579 NIL ALAGG (NIL T T) -9 NIL 55740 NIL) (-35 38008 38157 38183 "AHYP" 38384 T AHYP (NIL) -9 NIL NIL NIL) (-34 36893 37187 37213 "AGG" 37712 T AGG (NIL) -9 NIL 37991 NIL) (-33 36291 36489 36703 "AGG-" 36708 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34051 34520 34925 "AF" 35933 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33471 33776 33866 "ADDAST" 33979 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32703 32998 33154 "ACPLOT" 33333 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20267 29635 29673 "ACFS" 30280 NIL ACFS (NIL T) -9 NIL 30519 NIL) (-28 18174 18784 19546 "ACFS-" 19551 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13882 16207 16233 "ACF" 17112 T ACF (NIL) -9 NIL 17525 NIL) (-26 12514 12920 13413 "ACF-" 13418 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12024 12267 12293 "ABELSG" 12385 T ABELSG (NIL) -9 NIL 12450 NIL) (-24 11885 11916 11982 "ABELSG-" 11987 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11154 11501 11527 "ABELMON" 11697 T ABELMON (NIL) -9 NIL 11809 NIL) (-22 10794 10902 11040 "ABELMON-" 11045 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10044 10500 10526 "ABELGRP" 10598 T ABELGRP (NIL) -9 NIL 10673 NIL) (-20 9471 9636 9852 "ABELGRP-" 9857 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8733 8772 "A1AGG" 8777 NIL A1AGG (NIL T) -9 NIL 8817 NIL) (-18 30 1497 3059 "A1AGG-" 3064 NIL A1AGG- (NIL T T) -8 NIL NIL NIL))
\ No newline at end of file +((-3 3472796 3472801 3472806 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3472781 3472786 3472791 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3472766 3472771 3472776 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3472751 3472756 3472761 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1329 3471744 3472626 3472703 "ZMOD" 3472708 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1328 3470780 3470962 3471185 "ZLINDEP" 3471576 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1327 3459942 3461848 3463820 "ZDSOLVE" 3468910 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1326 3459176 3459329 3459518 "YSTREAM" 3459788 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1325 3458536 3458845 3458960 "YDIAGRAM" 3459083 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1324 3455984 3457837 3458041 "XRPOLY" 3458379 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1323 3452251 3453855 3454430 "XPR" 3455456 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1322 3449582 3451258 3451313 "XPOLYC" 3451601 NIL XPOLYC (NIL T T) -9 NIL 3451714 NIL) (-1321 3446977 3448913 3449117 "XPOLY" 3449413 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1320 3442923 3445494 3445882 "XPBWPOLY" 3446635 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1319 3437815 3439394 3439449 "XFALG" 3441621 NIL XFALG (NIL T T) -9 NIL 3442410 NIL) (-1318 3433091 3435791 3435833 "XF" 3436454 NIL XF (NIL T) -9 NIL 3436854 NIL) (-1317 3432688 3432800 3432969 "XF-" 3432974 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1316 3431803 3431925 3432130 "XEXPPKG" 3432580 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1315 3429544 3431653 3431749 "XDPOLY" 3431754 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1314 3428199 3428937 3428980 "XALG" 3428985 NIL XALG (NIL T) -9 NIL 3429096 NIL) (-1313 3421109 3426176 3426670 "WUTSET" 3427791 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1312 3419211 3420161 3420484 "WP" 3420920 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1311 3418759 3419033 3419103 "WHILEAST" 3419163 T WHILEAST (NIL) -8 NIL NIL NIL) (-1310 3418171 3418476 3418570 "WHEREAST" 3418687 T WHEREAST (NIL) -8 NIL NIL NIL) (-1309 3417045 3417255 3417550 "WFFINTBS" 3417968 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1308 3414913 3415376 3415838 "WEIER" 3416617 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1307 3413837 3414395 3414437 "VSPACE" 3414573 NIL VSPACE (NIL T) -9 NIL 3414647 NIL) (-1306 3413669 3413702 3413793 "VSPACE-" 3413798 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1305 3413466 3413520 3413588 "VOID" 3413623 T VOID (NIL) -8 NIL NIL NIL) (-1304 3409734 3410529 3411266 "VIEWDEF" 3412751 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1303 3398678 3401282 3403455 "VIEW3D" 3407583 T VIEW3D (NIL) -8 NIL NIL NIL) (-1302 3390695 3392589 3394168 "VIEW2D" 3397121 T VIEW2D (NIL) -8 NIL NIL NIL) (-1301 3388795 3389190 3389596 "VIEW" 3390311 T VIEW (NIL) -7 NIL NIL NIL) (-1300 3387348 3387631 3387949 "VECTOR2" 3388525 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1299 3382254 3387118 3387210 "VECTOR" 3387291 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1298 3375199 3379958 3380001 "VECTCAT" 3380996 NIL VECTCAT (NIL T) -9 NIL 3381583 NIL) (-1297 3374141 3374467 3374857 "VECTCAT-" 3374862 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1296 3373547 3373792 3373912 "VARIABLE" 3374056 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1295 3373480 3373485 3373515 "UTYPE" 3373520 T UTYPE (NIL) -9 NIL NIL NIL) (-1294 3372288 3372464 3372726 "UTSODETL" 3373306 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1293 3369680 3370188 3370712 "UTSODE" 3371829 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1292 3359690 3365613 3365656 "UTSCAT" 3366768 NIL UTSCAT (NIL T) -9 NIL 3367526 NIL) (-1291 3356816 3357760 3358749 "UTSCAT-" 3358754 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1290 3356437 3356486 3356619 "UTS2" 3356767 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1289 3347754 3354198 3354678 "UTS" 3356015 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1288 3341621 3344564 3344607 "URAGG" 3346677 NIL URAGG (NIL T) -9 NIL 3347400 NIL) (-1287 3338344 3339423 3340546 "URAGG-" 3340551 NIL URAGG- (NIL T T) -8 NIL NIL NIL) (-1286 3333720 3336979 3337444 "UPXSSING" 3338008 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL NIL) (-1285 3326149 3333624 3333696 "UPXSCONS" 3333701 NIL UPXSCONS (NIL T T) -8 NIL NIL NIL) (-1284 3314907 3322351 3322413 "UPXSCCA" 3322987 NIL UPXSCCA (NIL T T) -9 NIL 3323220 NIL) (-1283 3314527 3314630 3314804 "UPXSCCA-" 3314809 NIL UPXSCCA- (NIL T T T) -8 NIL NIL NIL) (-1282 3303185 3310354 3310397 "UPXSCAT" 3311045 NIL UPXSCAT (NIL T) -9 NIL 3311654 NIL) (-1281 3302609 3302694 3302873 "UPXS2" 3303100 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1280 3294101 3301991 3302255 "UPXS" 3302403 NIL UPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1279 3292737 3293008 3293359 "UPSQFREE" 3293844 NIL UPSQFREE (NIL T T) -7 NIL NIL NIL) (-1278 3285568 3289003 3289058 "UPSCAT" 3290138 NIL UPSCAT (NIL T T) -9 NIL 3290904 NIL) (-1277 3284724 3284979 3285306 "UPSCAT-" 3285311 NIL UPSCAT- (NIL T T T) -8 NIL NIL NIL) (-1276 3284345 3284394 3284527 "UPOLYC2" 3284675 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL NIL) (-1275 3268493 3277472 3277515 "UPOLYC" 3279616 NIL UPOLYC (NIL T) -9 NIL 3280837 NIL) (-1274 3259362 3262261 3265401 "UPOLYC-" 3265406 NIL UPOLYC- (NIL T T) -8 NIL NIL NIL) (-1273 3258683 3258808 3258972 "UPMP" 3259251 NIL UPMP (NIL T T) -7 NIL NIL NIL) (-1272 3258230 3258317 3258456 "UPDIVP" 3258596 NIL UPDIVP (NIL T T) -7 NIL NIL NIL) (-1271 3256768 3257047 3257363 "UPDECOMP" 3257979 NIL UPDECOMP (NIL T T) -7 NIL NIL NIL) (-1270 3255981 3256111 3256297 "UPCDEN" 3256652 NIL UPCDEN (NIL T T T) -7 NIL NIL NIL) (-1269 3255494 3255569 3255718 "UP2" 3255906 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL NIL) (-1268 3246090 3255177 3255306 "UP" 3255413 NIL UP (NIL NIL T) -8 NIL NIL NIL) (-1267 3245295 3245432 3245637 "UNISEG2" 3245933 NIL UNISEG2 (NIL T T) -7 NIL NIL NIL) (-1266 3243648 3244499 3244776 "UNISEG" 3245053 NIL UNISEG (NIL T) -8 NIL NIL NIL) (-1265 3242690 3242888 3243114 "UNIFACT" 3243464 NIL UNIFACT (NIL T) -7 NIL NIL NIL) (-1264 3229421 3242594 3242666 "ULSCONS" 3242671 NIL ULSCONS (NIL T T) -8 NIL NIL NIL) (-1263 3209238 3222501 3222563 "ULSCCAT" 3223201 NIL ULSCCAT (NIL T T) -9 NIL 3223490 NIL) (-1262 3208234 3208533 3208921 "ULSCCAT-" 3208926 NIL ULSCCAT- (NIL T T T) -8 NIL NIL NIL) (-1261 3196689 3203780 3203823 "ULSCAT" 3204686 NIL ULSCAT (NIL T) -9 NIL 3205417 NIL) (-1260 3196113 3196198 3196377 "ULS2" 3196604 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL NIL) (-1259 3177944 3195425 3195667 "ULS" 3195929 NIL ULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1258 3176863 3177563 3177677 "UINT8" 3177788 T UINT8 (NIL) -8 NIL NIL 3177880) (-1257 3175781 3176481 3176595 "UINT64" 3176706 T UINT64 (NIL) -8 NIL NIL 3176798) (-1256 3174699 3175399 3175513 "UINT32" 3175624 T UINT32 (NIL) -8 NIL NIL 3175716) (-1255 3173617 3174317 3174431 "UINT16" 3174542 T UINT16 (NIL) -8 NIL NIL 3174634) (-1254 3171696 3172863 3172893 "UFD" 3173105 T UFD (NIL) -9 NIL 3173219 NIL) (-1253 3171478 3171536 3171631 "UFD-" 3171636 NIL UFD- (NIL T) -8 NIL NIL NIL) (-1252 3170536 3170743 3170959 "UDVO" 3171284 T UDVO (NIL) -7 NIL NIL NIL) (-1251 3168302 3168761 3169232 "UDPO" 3170100 NIL UDPO (NIL T) -7 NIL NIL NIL) (-1250 3168014 3168257 3168288 "TYPEAST" 3168293 T TYPEAST (NIL) -8 NIL NIL NIL) (-1249 3167947 3167952 3167982 "TYPE" 3167987 T TYPE (NIL) -9 NIL NIL NIL) (-1248 3166900 3167120 3167360 "TWOFACT" 3167741 NIL TWOFACT (NIL T) -7 NIL NIL NIL) (-1247 3165875 3166309 3166544 "TUPLE" 3166700 NIL TUPLE (NIL T) -8 NIL NIL NIL) (-1246 3163512 3164085 3164624 "TUBETOOL" 3165358 T TUBETOOL (NIL) -7 NIL NIL NIL) (-1245 3162318 3162559 3162801 "TUBE" 3163305 NIL TUBE (NIL T) -8 NIL NIL NIL) (-1244 3150453 3155075 3155172 "TSETCAT" 3160441 NIL TSETCAT (NIL T T T T) -9 NIL 3161973 NIL) (-1243 3144921 3146785 3148676 "TSETCAT-" 3148681 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1242 3139107 3143893 3144176 "TS" 3144673 NIL TS (NIL T) -8 NIL NIL NIL) (-1241 3133580 3134593 3135522 "TRMANIP" 3138243 NIL TRMANIP (NIL T T) -7 NIL NIL NIL) (-1240 3133009 3133084 3133247 "TRIMAT" 3133512 NIL TRIMAT (NIL T T T T) -7 NIL NIL NIL) (-1239 3130821 3131112 3131469 "TRIGMNIP" 3132758 NIL TRIGMNIP (NIL T T) -7 NIL NIL NIL) (-1238 3130305 3130454 3130484 "TRIGCAT" 3130697 T TRIGCAT (NIL) -9 NIL NIL NIL) (-1237 3129950 3130053 3130194 "TRIGCAT-" 3130199 NIL TRIGCAT- (NIL T) -8 NIL NIL NIL) (-1236 3126564 3128808 3129089 "TREE" 3129704 NIL TREE (NIL T) -8 NIL NIL NIL) (-1235 3125670 3126366 3126396 "TRANFUN" 3126431 T TRANFUN (NIL) -9 NIL 3126497 NIL) (-1234 3124889 3125140 3125420 "TRANFUN-" 3125425 NIL TRANFUN- (NIL T) -8 NIL NIL NIL) (-1233 3124687 3124725 3124786 "TOPSP" 3124850 T TOPSP (NIL) -7 NIL NIL NIL) (-1232 3124017 3124150 3124304 "TOOLSIGN" 3124568 NIL TOOLSIGN (NIL T) -7 NIL NIL NIL) (-1231 3122531 3123194 3123433 "TEXTFILE" 3123800 T TEXTFILE (NIL) -8 NIL NIL NIL) (-1230 3122306 3122343 3122415 "TEX1" 3122494 NIL TEX1 (NIL T) -7 NIL NIL NIL) (-1229 3120110 3120759 3121188 "TEX" 3121899 T TEX (NIL) -8 NIL NIL NIL) (-1228 3119746 3119821 3119911 "TEMUTL" 3120042 T TEMUTL (NIL) -7 NIL NIL NIL) (-1227 3117840 3118180 3118505 "TBCMPPK" 3119469 NIL TBCMPPK (NIL T T) -7 NIL NIL NIL) (-1226 3109160 3115926 3115982 "TBAGG" 3116382 NIL TBAGG (NIL T T) -9 NIL 3116593 NIL) (-1225 3104044 3105718 3107472 "TBAGG-" 3107477 NIL TBAGG- (NIL T T T) -8 NIL NIL NIL) (-1224 3103410 3103535 3103680 "TANEXP" 3103933 NIL TANEXP (NIL T) -7 NIL NIL NIL) (-1223 3102861 3103185 3103275 "TALGOP" 3103355 NIL TALGOP (NIL T) -8 NIL NIL NIL) (-1222 3102255 3102372 3102510 "TABLEAU" 3102758 NIL TABLEAU (NIL T) -8 NIL NIL NIL) (-1221 3095269 3102112 3102205 "TABLE" 3102210 NIL TABLE (NIL T T) -8 NIL NIL NIL) (-1220 3089799 3091097 3092345 "TABLBUMP" 3094055 NIL TABLBUMP (NIL T) -7 NIL NIL NIL) (-1219 3089009 3089168 3089349 "SYSTEM" 3089640 T SYSTEM (NIL) -8 NIL NIL NIL) (-1218 3085414 3086167 3086950 "SYSSOLP" 3088260 NIL SYSSOLP (NIL T) -7 NIL NIL NIL) (-1217 3085176 3085369 3085400 "SYSPTR" 3085405 T SYSPTR (NIL) -8 NIL NIL NIL) (-1216 3084015 3084707 3084833 "SYSNNI" 3085019 NIL SYSNNI (NIL NIL) -8 NIL NIL 3085111) (-1215 3083222 3083777 3083856 "SYSINT" 3083916 NIL SYSINT (NIL NIL) -8 NIL NIL 3083961) (-1214 3079320 3080500 3081210 "SYNTAX" 3082534 T SYNTAX (NIL) -8 NIL NIL NIL) (-1213 3076400 3077080 3077712 "SYMTAB" 3078710 T SYMTAB (NIL) -8 NIL NIL NIL) (-1212 3071499 3072551 3073534 "SYMS" 3075439 T SYMS (NIL) -8 NIL NIL NIL) (-1211 3068405 3070950 3071183 "SYMPOLY" 3071301 NIL SYMPOLY (NIL T) -8 NIL NIL NIL) (-1210 3067910 3067997 3068120 "SYMFUNC" 3068317 NIL SYMFUNC (NIL T) -7 NIL NIL NIL) (-1209 3063708 3065222 3066035 "SYMBOL" 3067119 T SYMBOL (NIL) -8 NIL NIL NIL) (-1208 3057181 3058936 3060656 "SWITCH" 3062010 T SWITCH (NIL) -8 NIL NIL NIL) (-1207 3049942 3056137 3056431 "SUTS" 3056945 NIL SUTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1206 3041434 3049324 3049588 "SUPXS" 3049736 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-1205 3040581 3040720 3040937 "SUPFRACF" 3041302 NIL SUPFRACF (NIL T T T T) -7 NIL NIL NIL) (-1204 3040196 3040261 3040374 "SUP2" 3040516 NIL SUP2 (NIL T T) -7 NIL NIL NIL) (-1203 3030740 3039814 3039940 "SUP" 3040105 NIL SUP (NIL T) -8 NIL NIL NIL) (-1202 3029164 3029462 3029818 "SUMRF" 3030439 NIL SUMRF (NIL T) -7 NIL NIL NIL) (-1201 3028487 3028565 3028757 "SUMFS" 3029085 NIL SUMFS (NIL T T) -7 NIL NIL NIL) (-1200 3010353 3027799 3028041 "SULS" 3028303 NIL SULS (NIL T NIL NIL) -8 NIL NIL NIL) (-1199 3009901 3010175 3010245 "SUCHTAST" 3010305 T SUCHTAST (NIL) -8 NIL NIL NIL) (-1198 3009142 3009426 3009566 "SUCH" 3009809 NIL SUCH (NIL T T) -8 NIL NIL NIL) (-1197 3002781 3004048 3005007 "SUBSPACE" 3008230 NIL SUBSPACE (NIL NIL T) -8 NIL NIL NIL) (-1196 3002201 3002301 3002465 "SUBRESP" 3002669 NIL SUBRESP (NIL T T) -7 NIL NIL NIL) (-1195 2996212 2997494 2998641 "STTFNC" 3001101 NIL STTFNC (NIL T) -7 NIL NIL NIL) (-1194 2989406 2990877 2992188 "STTF" 2994948 NIL STTF (NIL T) -7 NIL NIL NIL) (-1193 2980522 2982588 2984382 "STTAYLOR" 2987647 NIL STTAYLOR (NIL T) -7 NIL NIL NIL) (-1192 2973276 2980386 2980469 "STRTBL" 2980474 NIL STRTBL (NIL T) -8 NIL NIL NIL) (-1191 2967673 2972985 2973084 "STRING" 2973199 T STRING (NIL) -8 NIL NIL NIL) (-1190 2967177 2967260 2967404 "STREAM3" 2967590 NIL STREAM3 (NIL T T T) -7 NIL NIL NIL) (-1189 2966141 2966342 2966577 "STREAM2" 2966990 NIL STREAM2 (NIL T T) -7 NIL NIL NIL) (-1188 2965823 2965881 2965974 "STREAM1" 2966083 NIL STREAM1 (NIL T) -7 NIL NIL NIL) (-1187 2957937 2963442 2964053 "STREAM" 2965247 NIL STREAM (NIL T) -8 NIL NIL NIL) (-1186 2956929 2957134 2957365 "STINPROD" 2957753 NIL STINPROD (NIL T) -7 NIL NIL NIL) (-1185 2956044 2956418 2956566 "STEPAST" 2956803 T STEPAST (NIL) -8 NIL NIL NIL) (-1184 2955540 2955785 2955815 "STEP" 2955909 T STEP (NIL) -9 NIL 2955980 NIL) (-1183 2948596 2955439 2955516 "STBL" 2955521 NIL STBL (NIL T T NIL) -8 NIL NIL NIL) (-1182 2943146 2947759 2947802 "STAGG" 2947955 NIL STAGG (NIL T) -9 NIL 2948044 NIL) (-1181 2940698 2941450 2942322 "STAGG-" 2942327 NIL STAGG- (NIL T T) -8 NIL NIL NIL) (-1180 2938670 2940468 2940560 "STACK" 2940641 NIL STACK (NIL T) -8 NIL NIL NIL) (-1179 2937987 2938500 2938530 "SRING" 2938535 T SRING (NIL) -9 NIL 2938555 NIL) (-1178 2929995 2936128 2936584 "SREGSET" 2937617 NIL SREGSET (NIL T T T T) -8 NIL NIL NIL) (-1177 2922342 2923789 2925302 "SRDCMPK" 2928601 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1176 2914642 2919701 2919731 "SRAGG" 2921034 T SRAGG (NIL) -9 NIL 2921642 NIL) (-1175 2913593 2913914 2914293 "SRAGG-" 2914298 NIL SRAGG- (NIL T) -8 NIL NIL NIL) (-1174 2907177 2912540 2912961 "SQMATRIX" 2913219 NIL SQMATRIX (NIL NIL T) -8 NIL NIL NIL) (-1173 2900589 2903895 2904622 "SPLTREE" 2906522 NIL SPLTREE (NIL T T) -8 NIL NIL NIL) (-1172 2896414 2897245 2897891 "SPLNODE" 2900015 NIL SPLNODE (NIL T T) -8 NIL NIL NIL) (-1171 2895389 2895694 2895724 "SPFCAT" 2896168 T SPFCAT (NIL) -9 NIL NIL NIL) (-1170 2894084 2894336 2894600 "SPECOUT" 2895147 T SPECOUT (NIL) -7 NIL NIL NIL) (-1169 2884730 2887048 2887078 "SPADXPT" 2891756 T SPADXPT (NIL) -9 NIL 2893922 NIL) (-1168 2884485 2884531 2884600 "SPADPRSR" 2884683 T SPADPRSR (NIL) -7 NIL NIL NIL) (-1167 2882088 2884440 2884471 "SPADAST" 2884476 T SPADAST (NIL) -8 NIL NIL NIL) (-1166 2873689 2875792 2875835 "SPACEC" 2880208 NIL SPACEC (NIL T) -9 NIL 2882024 NIL) (-1165 2871489 2873621 2873670 "SPACE3" 2873675 NIL SPACE3 (NIL T) -8 NIL NIL NIL) (-1164 2870221 2870412 2870703 "SORTPAK" 2871294 NIL SORTPAK (NIL T T) -7 NIL NIL NIL) (-1163 2868283 2868616 2869028 "SOLVETRA" 2869885 NIL SOLVETRA (NIL T) -7 NIL NIL NIL) (-1162 2867321 2867555 2867816 "SOLVESER" 2868056 NIL SOLVESER (NIL T) -7 NIL NIL NIL) (-1161 2862553 2863513 2864508 "SOLVERAD" 2866373 NIL SOLVERAD (NIL T) -7 NIL NIL NIL) (-1160 2858278 2858977 2859706 "SOLVEFOR" 2861920 NIL SOLVEFOR (NIL T T) -7 NIL NIL NIL) (-1159 2851882 2857626 2857723 "SNTSCAT" 2857728 NIL SNTSCAT (NIL T T T T) -9 NIL 2857798 NIL) (-1158 2845433 2850205 2850596 "SMTS" 2851572 NIL SMTS (NIL T T T) -8 NIL NIL NIL) (-1157 2839155 2845321 2845398 "SMP" 2845403 NIL SMP (NIL T T) -8 NIL NIL NIL) (-1156 2837284 2837615 2838013 "SMITH" 2838852 NIL SMITH (NIL T T T T) -7 NIL NIL NIL) (-1155 2828809 2833863 2833966 "SMATCAT" 2835317 NIL SMATCAT (NIL NIL T T T) -9 NIL 2835867 NIL) (-1154 2825581 2826572 2827750 "SMATCAT-" 2827755 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL NIL) (-1153 2823050 2824789 2824832 "SKAGG" 2825093 NIL SKAGG (NIL T) -9 NIL 2825228 NIL) (-1152 2818570 2822533 2822710 "SINT" 2822862 T SINT (NIL) -8 NIL NIL 2823017) (-1151 2818336 2818380 2818446 "SIMPAN" 2818526 T SIMPAN (NIL) -7 NIL NIL NIL) (-1150 2817156 2817395 2817670 "SIGNRF" 2818095 NIL SIGNRF (NIL T) -7 NIL NIL NIL) (-1149 2815971 2816140 2816424 "SIGNEF" 2816985 NIL SIGNEF (NIL T T) -7 NIL NIL NIL) (-1148 2815211 2815554 2815678 "SIGAST" 2815869 T SIGAST (NIL) -8 NIL NIL NIL) (-1147 2814436 2814746 2814886 "SIG" 2815093 T SIG (NIL) -8 NIL NIL NIL) (-1146 2812088 2812580 2813086 "SHP" 2813977 NIL SHP (NIL T NIL) -7 NIL NIL NIL) (-1145 2805412 2811989 2812065 "SHDP" 2812070 NIL SHDP (NIL NIL NIL T) -8 NIL NIL NIL) (-1144 2804923 2805163 2805193 "SGROUP" 2805286 T SGROUP (NIL) -9 NIL 2805348 NIL) (-1143 2804775 2804807 2804880 "SGROUP-" 2804885 NIL SGROUP- (NIL T) -8 NIL NIL NIL) (-1142 2801494 2802264 2802987 "SGCF" 2804074 T SGCF (NIL) -7 NIL NIL NIL) (-1141 2795196 2800940 2801037 "SFRTCAT" 2801042 NIL SFRTCAT (NIL T T T T) -9 NIL 2801081 NIL) (-1140 2788515 2789635 2790771 "SFRGCD" 2794179 NIL SFRGCD (NIL T T T T T) -7 NIL NIL NIL) (-1139 2781533 2782714 2783900 "SFQCMPK" 2787448 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1138 2781135 2781242 2781353 "SFORT" 2781474 NIL SFORT (NIL T T) -8 NIL NIL NIL) (-1137 2780061 2780975 2781096 "SEXOF" 2781101 NIL SEXOF (NIL T T T T T) -8 NIL NIL NIL) (-1136 2775650 2776557 2776652 "SEXCAT" 2779274 NIL SEXCAT (NIL T T T T T) -9 NIL 2779834 NIL) (-1135 2774565 2775531 2775599 "SEX" 2775604 T SEX (NIL) -8 NIL NIL NIL) (-1134 2772687 2773278 2773583 "SETMN" 2774306 NIL SETMN (NIL NIL NIL) -8 NIL NIL NIL) (-1133 2772217 2772405 2772435 "SETCAT" 2772552 T SETCAT (NIL) -9 NIL 2772637 NIL) (-1132 2771985 2772049 2772148 "SETCAT-" 2772153 NIL SETCAT- (NIL T) -8 NIL NIL NIL) (-1131 2768088 2770446 2770489 "SETAGG" 2771359 NIL SETAGG (NIL T) -9 NIL 2771699 NIL) (-1130 2767510 2767662 2767899 "SETAGG-" 2767904 NIL SETAGG- (NIL T T) -8 NIL NIL NIL) (-1129 2764319 2767444 2767492 "SET" 2767497 NIL SET (NIL T) -8 NIL NIL NIL) (-1128 2763702 2764015 2764116 "SEQAST" 2764240 T SEQAST (NIL) -8 NIL NIL NIL) (-1127 2762829 2763195 2763256 "SEGXCAT" 2763542 NIL SEGXCAT (NIL T T) -9 NIL 2763662 NIL) (-1126 2761754 2762022 2762065 "SEGCAT" 2762587 NIL SEGCAT (NIL T) -9 NIL 2762808 NIL) (-1125 2761369 2761434 2761547 "SEGBIND2" 2761689 NIL SEGBIND2 (NIL T T) -7 NIL NIL NIL) (-1124 2760259 2760732 2760940 "SEGBIND" 2761196 NIL SEGBIND (NIL T) -8 NIL NIL NIL) (-1123 2759778 2760060 2760137 "SEGAST" 2760204 T SEGAST (NIL) -8 NIL NIL NIL) (-1122 2758987 2759123 2759327 "SEG2" 2759622 NIL SEG2 (NIL T T) -7 NIL NIL NIL) (-1121 2757903 2758653 2758835 "SEG" 2758840 NIL SEG (NIL T) -8 NIL NIL NIL) (-1120 2757136 2757838 2757885 "SDVAR" 2757890 NIL SDVAR (NIL T) -8 NIL NIL NIL) (-1119 2748494 2756906 2757036 "SDPOL" 2757041 NIL SDPOL (NIL T) -8 NIL NIL NIL) (-1118 2747063 2747353 2747672 "SCPKG" 2748209 NIL SCPKG (NIL T) -7 NIL NIL NIL) (-1117 2746185 2746399 2746591 "SCOPE" 2746893 T SCOPE (NIL) -8 NIL NIL NIL) (-1116 2745381 2745539 2745718 "SCACHE" 2746040 NIL SCACHE (NIL T) -7 NIL NIL NIL) (-1115 2744965 2745199 2745229 "SASTCAT" 2745234 T SASTCAT (NIL) -9 NIL 2745247 NIL) (-1114 2744368 2744800 2744876 "SAOS" 2744911 T SAOS (NIL) -8 NIL NIL NIL) (-1113 2743927 2743968 2744141 "SAERFFC" 2744327 NIL SAERFFC (NIL T T T) -7 NIL NIL NIL) (-1112 2743514 2743555 2743714 "SAEFACT" 2743886 NIL SAEFACT (NIL T T T) -7 NIL NIL NIL) (-1111 2736562 2743411 2743491 "SAE" 2743496 NIL SAE (NIL T T NIL) -8 NIL NIL NIL) (-1110 2734865 2735197 2735598 "RURPK" 2736228 NIL RURPK (NIL T NIL) -7 NIL NIL NIL) (-1109 2733442 2733808 2734113 "RULESET" 2734699 NIL RULESET (NIL T T T) -8 NIL NIL NIL) (-1108 2733012 2733236 2733319 "RULECOLD" 2733394 NIL RULECOLD (NIL NIL) -8 NIL NIL NIL) (-1107 2730127 2730765 2731223 "RULE" 2732693 NIL RULE (NIL T T T) -8 NIL NIL NIL) (-1106 2729911 2729945 2730016 "RTVALUE" 2730078 T RTVALUE (NIL) -8 NIL NIL NIL) (-1105 2729322 2729628 2729722 "RSTRCAST" 2729839 T RSTRCAST (NIL) -8 NIL NIL NIL) (-1104 2724092 2724965 2725885 "RSETGCD" 2728521 NIL RSETGCD (NIL T T T T T) -7 NIL NIL NIL) (-1103 2712656 2718400 2718497 "RSETCAT" 2722616 NIL RSETCAT (NIL T T T T) -9 NIL 2723713 NIL) (-1102 2710475 2711122 2711946 "RSETCAT-" 2711951 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1101 2702783 2704237 2705757 "RSDCMPK" 2709074 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL NIL) (-1100 2700652 2701215 2701289 "RRCC" 2702375 NIL RRCC (NIL T T) -9 NIL 2702719 NIL) (-1099 2699973 2700177 2700456 "RRCC-" 2700461 NIL RRCC- (NIL T T T) -8 NIL NIL NIL) (-1098 2699356 2699669 2699770 "RPTAST" 2699894 T RPTAST (NIL) -8 NIL NIL NIL) (-1097 2671742 2682468 2682535 "RPOLCAT" 2693201 NIL RPOLCAT (NIL T T T) -9 NIL 2696361 NIL) (-1096 2662712 2665580 2668702 "RPOLCAT-" 2668707 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL NIL) (-1095 2653165 2660923 2661405 "ROUTINE" 2662252 T ROUTINE (NIL) -8 NIL NIL NIL) (-1094 2649228 2652791 2652931 "ROMAN" 2653047 T ROMAN (NIL) -8 NIL NIL NIL) (-1093 2647340 2648088 2648348 "ROIRC" 2649033 NIL ROIRC (NIL T T) -8 NIL NIL NIL) (-1092 2643113 2645882 2645912 "RNS" 2646181 T RNS (NIL) -9 NIL 2646437 NIL) (-1091 2641520 2642005 2642539 "RNS-" 2642614 NIL RNS- (NIL T) -8 NIL NIL NIL) (-1090 2640481 2640885 2641087 "RNGBIND" 2641371 NIL RNGBIND (NIL T T) -8 NIL NIL NIL) (-1089 2639774 2640278 2640308 "RNG" 2640313 T RNG (NIL) -9 NIL 2640334 NIL) (-1088 2639069 2639547 2639590 "RMODULE" 2639595 NIL RMODULE (NIL T) -9 NIL 2639622 NIL) (-1087 2637893 2637999 2638335 "RMCAT2" 2638970 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL NIL) (-1086 2634395 2637239 2637536 "RMATRIX" 2637655 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL NIL) (-1085 2626894 2629482 2629597 "RMATCAT" 2632956 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2633938 NIL) (-1084 2626233 2626416 2626723 "RMATCAT-" 2626728 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL NIL) (-1083 2625806 2626020 2626063 "RLINSET" 2626125 NIL RLINSET (NIL T) -9 NIL 2626169 NIL) (-1082 2625367 2625448 2625576 "RINTERP" 2625725 NIL RINTERP (NIL NIL T) -7 NIL NIL NIL) (-1081 2624291 2624965 2624995 "RING" 2625051 T RING (NIL) -9 NIL 2625143 NIL) (-1080 2624071 2624127 2624224 "RING-" 2624229 NIL RING- (NIL T) -8 NIL NIL NIL) (-1079 2622882 2623149 2623407 "RIDIST" 2623835 T RIDIST (NIL) -7 NIL NIL NIL) (-1078 2613507 2622350 2622556 "RGCHAIN" 2622730 NIL RGCHAIN (NIL T NIL) -8 NIL NIL NIL) (-1077 2612765 2613249 2613290 "RGBCSPC" 2613348 NIL RGBCSPC (NIL T) -9 NIL 2613400 NIL) (-1076 2611831 2612290 2612331 "RGBCMDL" 2612563 NIL RGBCMDL (NIL T) -9 NIL 2612677 NIL) (-1075 2611471 2611540 2611643 "RFFACTOR" 2611762 NIL RFFACTOR (NIL T) -7 NIL NIL NIL) (-1074 2611190 2611231 2611328 "RFFACT" 2611430 NIL RFFACT (NIL T) -7 NIL NIL NIL) (-1073 2609241 2609671 2610053 "RFDIST" 2610830 T RFDIST (NIL) -7 NIL NIL NIL) (-1072 2606181 2606849 2607519 "RF" 2608605 NIL RF (NIL T) -7 NIL NIL NIL) (-1071 2605628 2605726 2605889 "RETSOL" 2606083 NIL RETSOL (NIL T T) -7 NIL NIL NIL) (-1070 2605246 2605344 2605387 "RETRACT" 2605520 NIL RETRACT (NIL T) -9 NIL 2605607 NIL) (-1069 2605089 2605120 2605207 "RETRACT-" 2605212 NIL RETRACT- (NIL T T) -8 NIL NIL NIL) (-1068 2604637 2604911 2604981 "RETAST" 2605041 T RETAST (NIL) -8 NIL NIL NIL) (-1067 2596987 2604290 2604417 "RESULT" 2604532 T RESULT (NIL) -8 NIL NIL NIL) (-1066 2595422 2596256 2596455 "RESRING" 2596890 NIL RESRING (NIL T T T T NIL) -8 NIL NIL NIL) (-1065 2595046 2595107 2595205 "RESLATC" 2595359 NIL RESLATC (NIL T) -7 NIL NIL NIL) (-1064 2594745 2594786 2594893 "REPSQ" 2595005 NIL REPSQ (NIL T) -7 NIL NIL NIL) (-1063 2594436 2594477 2594588 "REPDB" 2594704 NIL REPDB (NIL T) -7 NIL NIL NIL) (-1062 2588268 2589725 2590948 "REP2" 2593248 NIL REP2 (NIL T) -7 NIL NIL NIL) (-1061 2584571 2585326 2586134 "REP1" 2587495 NIL REP1 (NIL T) -7 NIL NIL NIL) (-1060 2581951 2582573 2583175 "REP" 2583991 T REP (NIL) -7 NIL NIL NIL) (-1059 2573959 2580092 2580548 "REGSET" 2581581 NIL REGSET (NIL T T T T) -8 NIL NIL NIL) (-1058 2572668 2573107 2573357 "REF" 2573744 NIL REF (NIL T) -8 NIL NIL NIL) (-1057 2572033 2572148 2572315 "REDORDER" 2572552 NIL REDORDER (NIL T T) -7 NIL NIL NIL) (-1056 2567404 2571246 2571473 "RECLOS" 2571861 NIL RECLOS (NIL T) -8 NIL NIL NIL) (-1055 2566438 2566637 2566852 "REALSOLV" 2567211 T REALSOLV (NIL) -7 NIL NIL NIL) (-1054 2562885 2563723 2564607 "REAL0Q" 2565603 NIL REAL0Q (NIL T) -7 NIL NIL NIL) (-1053 2558438 2559474 2560535 "REAL0" 2561866 NIL REAL0 (NIL T) -7 NIL NIL NIL) (-1052 2558272 2558325 2558355 "REAL" 2558360 T REAL (NIL) -9 NIL 2558395 NIL) (-1051 2557683 2557989 2558083 "RDUCEAST" 2558200 T RDUCEAST (NIL) -8 NIL NIL NIL) (-1050 2557082 2557160 2557367 "RDIV" 2557605 NIL RDIV (NIL T T T T T) -7 NIL NIL NIL) (-1049 2556132 2556324 2556537 "RDIST" 2556904 NIL RDIST (NIL T) -7 NIL NIL NIL) (-1048 2554717 2555016 2555388 "RDETRS" 2555840 NIL RDETRS (NIL T T) -7 NIL NIL NIL) (-1047 2552511 2552983 2553521 "RDETR" 2554259 NIL RDETR (NIL T T) -7 NIL NIL NIL) (-1046 2551130 2551414 2551811 "RDEEFS" 2552227 NIL RDEEFS (NIL T T) -7 NIL NIL NIL) (-1045 2549633 2549945 2550370 "RDEEF" 2550818 NIL RDEEF (NIL T T) -7 NIL NIL NIL) (-1044 2543112 2546587 2546617 "RCFIELD" 2547912 T RCFIELD (NIL) -9 NIL 2548643 NIL) (-1043 2541068 2541680 2542376 "RCFIELD-" 2542451 NIL RCFIELD- (NIL T) -8 NIL NIL NIL) (-1042 2537120 2539141 2539184 "RCAGG" 2540268 NIL RCAGG (NIL T) -9 NIL 2540733 NIL) (-1041 2536730 2536842 2537005 "RCAGG-" 2537010 NIL RCAGG- (NIL T T) -8 NIL NIL NIL) (-1040 2536047 2536177 2536342 "RATRET" 2536614 NIL RATRET (NIL T) -7 NIL NIL NIL) (-1039 2535588 2535667 2535788 "RATFACT" 2535975 NIL RATFACT (NIL T) -7 NIL NIL NIL) (-1038 2534866 2535016 2535168 "RANDSRC" 2535458 T RANDSRC (NIL) -7 NIL NIL NIL) (-1037 2534594 2534644 2534717 "RADUTIL" 2534815 T RADUTIL (NIL) -7 NIL NIL NIL) (-1036 2526739 2533425 2533736 "RADIX" 2534317 NIL RADIX (NIL NIL) -8 NIL NIL NIL) (-1035 2516354 2526581 2526711 "RADFF" 2526716 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL NIL) (-1034 2515983 2516076 2516106 "RADCAT" 2516266 T RADCAT (NIL) -9 NIL NIL NIL) (-1033 2515753 2515813 2515913 "RADCAT-" 2515918 NIL RADCAT- (NIL T) -8 NIL NIL NIL) (-1032 2513664 2515523 2515615 "QUEUE" 2515696 NIL QUEUE (NIL T) -8 NIL NIL NIL) (-1031 2513289 2513338 2513469 "QUATCT2" 2513615 NIL QUATCT2 (NIL T T T T) -7 NIL NIL NIL) (-1030 2505667 2509712 2509754 "QUATCAT" 2510545 NIL QUATCAT (NIL T) -9 NIL 2511311 NIL) (-1029 2501548 2502843 2504233 "QUATCAT-" 2504329 NIL QUATCAT- (NIL T T) -8 NIL NIL NIL) (-1028 2497394 2501481 2501529 "QUAT" 2501534 NIL QUAT (NIL T) -8 NIL NIL NIL) (-1027 2494650 2496442 2496485 "QUAGG" 2496866 NIL QUAGG (NIL T) -9 NIL 2497041 NIL) (-1026 2494198 2494472 2494542 "QQUTAST" 2494602 T QQUTAST (NIL) -8 NIL NIL NIL) (-1025 2493109 2493711 2493876 "QFORM" 2494079 NIL QFORM (NIL NIL T) -8 NIL NIL NIL) (-1024 2492734 2492783 2492914 "QFCAT2" 2493060 NIL QFCAT2 (NIL T T T T) -7 NIL NIL NIL) (-1023 2482431 2488581 2488623 "QFCAT" 2489291 NIL QFCAT (NIL T) -9 NIL 2490292 NIL) (-1022 2477765 2479213 2480800 "QFCAT-" 2480896 NIL QFCAT- (NIL T T) -8 NIL NIL NIL) (-1021 2477196 2477330 2477462 "QEQUAT" 2477655 T QEQUAT (NIL) -8 NIL NIL NIL) (-1020 2470214 2471395 2472581 "QCMPACK" 2476129 NIL QCMPACK (NIL T T T T T) -7 NIL NIL NIL) (-1019 2469443 2469625 2469861 "QALGSET2" 2470032 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL NIL) (-1018 2466893 2467429 2467859 "QALGSET" 2469098 NIL QALGSET (NIL T T T T) -8 NIL NIL NIL) (-1017 2465560 2465802 2466121 "PWFFINTB" 2466666 NIL PWFFINTB (NIL T T T T) -7 NIL NIL NIL) (-1016 2463705 2463903 2464259 "PUSHVAR" 2465374 NIL PUSHVAR (NIL T T T T) -7 NIL NIL NIL) (-1015 2459432 2460648 2460691 "PTRANFN" 2462602 NIL PTRANFN (NIL T) -9 NIL NIL NIL) (-1014 2457769 2458114 2458438 "PTPACK" 2459143 NIL PTPACK (NIL T) -7 NIL NIL NIL) (-1013 2457392 2457455 2457566 "PTFUNC2" 2457706 NIL PTFUNC2 (NIL T T) -7 NIL NIL NIL) (-1012 2451308 2456181 2456224 "PTCAT" 2456524 NIL PTCAT (NIL T) -9 NIL 2456677 NIL) (-1011 2450957 2450998 2451124 "PSQFR" 2451267 NIL PSQFR (NIL T T T T) -7 NIL NIL NIL) (-1010 2449529 2449845 2450181 "PSEUDLIN" 2450655 NIL PSEUDLIN (NIL T) -7 NIL NIL NIL) (-1009 2436049 2438624 2440950 "PSETPK" 2447289 NIL PSETPK (NIL T T T T) -7 NIL NIL NIL) (-1008 2428757 2431785 2431883 "PSETCAT" 2434924 NIL PSETCAT (NIL T T T T) -9 NIL 2435738 NIL) (-1007 2426482 2427224 2428048 "PSETCAT-" 2428053 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL NIL) (-1006 2425795 2425990 2426020 "PSCURVE" 2426292 T PSCURVE (NIL) -9 NIL 2426459 NIL) (-1005 2421518 2423285 2423352 "PSCAT" 2424204 NIL PSCAT (NIL T T T) -9 NIL 2424444 NIL) (-1004 2420512 2420794 2421197 "PSCAT-" 2421202 NIL PSCAT- (NIL T T T T) -8 NIL NIL NIL) (-1003 2418680 2419571 2419836 "PRTITION" 2420269 T PRTITION (NIL) -8 NIL NIL NIL) (-1002 2418091 2418397 2418491 "PRTDAST" 2418608 T PRTDAST (NIL) -8 NIL NIL NIL) (-1001 2406935 2409357 2411547 "PRS" 2415953 NIL PRS (NIL T T) -7 NIL NIL NIL) (-1000 2404550 2406252 2406294 "PRQAGG" 2406480 NIL PRQAGG (NIL T) -9 NIL 2406582 NIL) (-999 2403729 2404178 2404206 "PROPLOG" 2404345 T PROPLOG (NIL) -9 NIL 2404460 NIL) (-998 2403327 2403390 2403513 "PROPFUN2" 2403652 NIL PROPFUN2 (NIL T T) -8 NIL NIL NIL) (-997 2402624 2402763 2402935 "PROPFUN1" 2403188 NIL PROPFUN1 (NIL T) -8 NIL NIL NIL) (-996 2400605 2401371 2401668 "PROPFRML" 2402360 NIL PROPFRML (NIL T) -8 NIL NIL NIL) (-995 2400050 2400181 2400309 "PROPERTY" 2400497 T PROPERTY (NIL) -8 NIL NIL NIL) (-994 2393863 2398216 2399036 "PRODUCT" 2399276 NIL PRODUCT (NIL T T) -8 NIL NIL NIL) (-993 2393653 2393691 2393750 "PRINT" 2393824 T PRINT (NIL) -7 NIL NIL NIL) (-992 2392969 2393110 2393262 "PRIMES" 2393533 NIL PRIMES (NIL T) -7 NIL NIL NIL) (-991 2391016 2391435 2391901 "PRIMELT" 2392548 NIL PRIMELT (NIL T) -7 NIL NIL NIL) (-990 2390733 2390794 2390822 "PRIMCAT" 2390946 T PRIMCAT (NIL) -9 NIL NIL NIL) (-989 2389722 2389918 2390146 "PRIMARR2" 2390551 NIL PRIMARR2 (NIL T T) -7 NIL NIL NIL) (-988 2385444 2389660 2389705 "PRIMARR" 2389710 NIL PRIMARR (NIL T) -8 NIL NIL NIL) (-987 2385081 2385143 2385254 "PREASSOC" 2385382 NIL PREASSOC (NIL T T) -7 NIL NIL NIL) (-986 2382046 2384539 2384773 "PR" 2384892 NIL PR (NIL T T) -8 NIL NIL NIL) (-985 2381497 2381654 2381682 "PPCURVE" 2381887 T PPCURVE (NIL) -9 NIL 2382023 NIL) (-984 2381044 2381292 2381375 "PORTNUM" 2381434 T PORTNUM (NIL) -8 NIL NIL NIL) (-983 2378381 2378802 2379394 "POLYROOT" 2380625 NIL POLYROOT (NIL T T T T T) -7 NIL NIL NIL) (-982 2377758 2377822 2378056 "POLYLIFT" 2378317 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL NIL) (-981 2373979 2374482 2375111 "POLYCATQ" 2377303 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL NIL) (-980 2359627 2365726 2365791 "POLYCAT" 2369305 NIL POLYCAT (NIL T T T) -9 NIL 2371183 NIL) (-979 2352767 2354952 2357329 "POLYCAT-" 2357334 NIL POLYCAT- (NIL T T T T) -8 NIL NIL NIL) (-978 2352348 2352422 2352542 "POLY2UP" 2352693 NIL POLY2UP (NIL NIL T) -7 NIL NIL NIL) (-977 2351974 2352037 2352146 "POLY2" 2352285 NIL POLY2 (NIL T T) -7 NIL NIL NIL) (-976 2345189 2351578 2351738 "POLY" 2351847 NIL POLY (NIL T) -8 NIL NIL NIL) (-975 2343850 2344113 2344389 "POLUTIL" 2344963 NIL POLUTIL (NIL T T) -7 NIL NIL NIL) (-974 2342169 2342482 2342813 "POLTOPOL" 2343572 NIL POLTOPOL (NIL NIL T) -7 NIL NIL NIL) (-973 2337165 2342103 2342150 "POINT" 2342155 NIL POINT (NIL T) -8 NIL NIL NIL) (-972 2335298 2335709 2336084 "PNTHEORY" 2336810 T PNTHEORY (NIL) -7 NIL NIL NIL) (-971 2333744 2334053 2334452 "PMTOOLS" 2334996 NIL PMTOOLS (NIL T T T) -7 NIL NIL NIL) (-970 2333331 2333415 2333532 "PMSYM" 2333660 NIL PMSYM (NIL T) -7 NIL NIL NIL) (-969 2332833 2332908 2333083 "PMQFCAT" 2333256 NIL PMQFCAT (NIL T T T) -7 NIL NIL NIL) (-968 2332214 2332312 2332474 "PMPREDFS" 2332734 NIL PMPREDFS (NIL T T T) -7 NIL NIL NIL) (-967 2331557 2331679 2331835 "PMPRED" 2332091 NIL PMPRED (NIL T) -7 NIL NIL NIL) (-966 2330211 2330429 2330807 "PMPLCAT" 2331319 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL NIL) (-965 2329737 2329822 2329974 "PMLSAGG" 2330126 NIL PMLSAGG (NIL T T T) -7 NIL NIL NIL) (-964 2329204 2329286 2329468 "PMKERNEL" 2329655 NIL PMKERNEL (NIL T T) -7 NIL NIL NIL) (-963 2328815 2328896 2329009 "PMINS" 2329123 NIL PMINS (NIL T) -7 NIL NIL NIL) (-962 2328251 2328326 2328535 "PMFS" 2328740 NIL PMFS (NIL T T T) -7 NIL NIL NIL) (-961 2327467 2327597 2327802 "PMDOWN" 2328128 NIL PMDOWN (NIL T T T) -7 NIL NIL NIL) (-960 2326716 2326850 2327013 "PMASSFS" 2327354 NIL PMASSFS (NIL T T) -7 NIL NIL NIL) (-959 2325859 2326041 2326222 "PMASS" 2326555 T PMASS (NIL) -7 NIL NIL NIL) (-958 2325508 2325582 2325676 "PLOTTOOL" 2325785 T PLOTTOOL (NIL) -7 NIL NIL NIL) (-957 2321160 2322354 2323276 "PLOT3D" 2324606 T PLOT3D (NIL) -8 NIL NIL NIL) (-956 2320048 2320249 2320484 "PLOT1" 2320964 NIL PLOT1 (NIL T) -7 NIL NIL NIL) (-955 2314469 2315859 2317007 "PLOT" 2318920 T PLOT (NIL) -8 NIL NIL NIL) (-954 2289644 2294535 2299386 "PLEQN" 2309735 NIL PLEQN (NIL T T T T) -7 NIL NIL NIL) (-953 2289331 2289384 2289487 "PINTERPA" 2289591 NIL PINTERPA (NIL T T) -7 NIL NIL NIL) (-952 2288637 2288771 2288951 "PINTERP" 2289196 NIL PINTERP (NIL NIL T) -7 NIL NIL NIL) (-951 2286721 2287887 2287915 "PID" 2288112 T PID (NIL) -9 NIL 2288239 NIL) (-950 2286466 2286509 2286584 "PICOERCE" 2286678 NIL PICOERCE (NIL T) -7 NIL NIL NIL) (-949 2285562 2286230 2286317 "PI" 2286357 T PI (NIL) -8 NIL NIL 2286424) (-948 2284870 2285021 2285197 "PGROEB" 2285418 NIL PGROEB (NIL T) -7 NIL NIL NIL) (-947 2280309 2281268 2282174 "PGE" 2283984 T PGE (NIL) -7 NIL NIL NIL) (-946 2278390 2278679 2279045 "PGCD" 2280026 NIL PGCD (NIL T T T T) -7 NIL NIL NIL) (-945 2277716 2277831 2277992 "PFRPAC" 2278274 NIL PFRPAC (NIL T) -7 NIL NIL NIL) (-944 2273974 2276264 2276617 "PFR" 2277395 NIL PFR (NIL T) -8 NIL NIL NIL) (-943 2272327 2272607 2272932 "PFOTOOLS" 2273721 NIL PFOTOOLS (NIL T T) -7 NIL NIL NIL) (-942 2270842 2271099 2271450 "PFOQ" 2272084 NIL PFOQ (NIL T T T) -7 NIL NIL NIL) (-941 2269325 2269555 2269911 "PFO" 2270626 NIL PFO (NIL T T T T T) -7 NIL NIL NIL) (-940 2266409 2267915 2267943 "PFECAT" 2268536 T PFECAT (NIL) -9 NIL 2268913 NIL) (-939 2265857 2266022 2266229 "PFECAT-" 2266234 NIL PFECAT- (NIL T) -8 NIL NIL NIL) (-938 2264430 2264712 2265013 "PFBRU" 2265606 NIL PFBRU (NIL T T) -7 NIL NIL NIL) (-937 2262259 2262648 2263080 "PFBR" 2264081 NIL PFBR (NIL T T T T) -7 NIL NIL NIL) (-936 2258205 2262148 2262217 "PF" 2262222 NIL PF (NIL NIL) -8 NIL NIL NIL) (-935 2253259 2254412 2255282 "PERMGRP" 2257368 NIL PERMGRP (NIL T) -8 NIL NIL NIL) (-934 2251171 2252283 2252324 "PERMCAT" 2252724 NIL PERMCAT (NIL T) -9 NIL 2253022 NIL) (-933 2250818 2250865 2250989 "PERMAN" 2251124 NIL PERMAN (NIL NIL T) -7 NIL NIL NIL) (-932 2246620 2248327 2248975 "PERM" 2250203 NIL PERM (NIL T) -8 NIL NIL NIL) (-931 2243861 2246285 2246407 "PENDTREE" 2246531 NIL PENDTREE (NIL T) -8 NIL NIL NIL) (-930 2242742 2243005 2243046 "PDSPC" 2243579 NIL PDSPC (NIL T) -9 NIL 2243824 NIL) (-929 2241797 2242063 2242425 "PDSPC-" 2242430 NIL PDSPC- (NIL T T) -8 NIL NIL NIL) (-928 2240511 2241447 2241488 "PDRING" 2241493 NIL PDRING (NIL T) -9 NIL 2241521 NIL) (-927 2239254 2240016 2240070 "PDMOD" 2240075 NIL PDMOD (NIL T T) -9 NIL 2240179 NIL) (-926 2236421 2237247 2237915 "PDEPROB" 2238606 T PDEPROB (NIL) -8 NIL NIL NIL) (-925 2233930 2234470 2235025 "PDEPACK" 2235886 T PDEPACK (NIL) -7 NIL NIL NIL) (-924 2232818 2233032 2233283 "PDECOMP" 2233729 NIL PDECOMP (NIL T T) -7 NIL NIL NIL) (-923 2230335 2231226 2231254 "PDECAT" 2232041 T PDECAT (NIL) -9 NIL 2232754 NIL) (-922 2229952 2230019 2230073 "PDDOM" 2230238 NIL PDDOM (NIL T T) -9 NIL 2230318 NIL) (-921 2229765 2229801 2229908 "PDDOM-" 2229913 NIL PDDOM- (NIL T T T) -8 NIL NIL NIL) (-920 2229510 2229549 2229639 "PCOMP" 2229726 NIL PCOMP (NIL T T) -7 NIL NIL NIL) (-919 2227550 2228311 2228608 "PBWLB" 2229239 NIL PBWLB (NIL T) -8 NIL NIL NIL) (-918 2227176 2227239 2227348 "PATTERN2" 2227487 NIL PATTERN2 (NIL T T) -7 NIL NIL NIL) (-917 2224885 2225321 2225778 "PATTERN1" 2226765 NIL PATTERN1 (NIL T T) -7 NIL NIL NIL) (-916 2217064 2218958 2220296 "PATTERN" 2223568 NIL PATTERN (NIL T) -8 NIL NIL NIL) (-915 2216622 2216695 2216827 "PATRES2" 2216991 NIL PATRES2 (NIL T T T) -7 NIL NIL NIL) (-914 2213888 2214571 2215052 "PATRES" 2216187 NIL PATRES (NIL T T) -8 NIL NIL NIL) (-913 2211741 2212176 2212583 "PATMATCH" 2213555 NIL PATMATCH (NIL T T T) -7 NIL NIL NIL) (-912 2211195 2211446 2211487 "PATMAB" 2211594 NIL PATMAB (NIL T) -9 NIL 2211677 NIL) (-911 2209641 2210049 2210307 "PATLRES" 2211000 NIL PATLRES (NIL T T T) -8 NIL NIL NIL) (-910 2209179 2209310 2209351 "PATAB" 2209356 NIL PATAB (NIL T) -9 NIL 2209528 NIL) (-909 2207319 2207756 2208179 "PARTPERM" 2208776 T PARTPERM (NIL) -7 NIL NIL NIL) (-908 2206928 2207003 2207105 "PARSURF" 2207250 NIL PARSURF (NIL T) -8 NIL NIL NIL) (-907 2206554 2206617 2206726 "PARSU2" 2206865 NIL PARSU2 (NIL T T) -7 NIL NIL NIL) (-906 2206312 2206358 2206425 "PARSER" 2206507 T PARSER (NIL) -7 NIL NIL NIL) (-905 2205921 2205996 2206098 "PARSCURV" 2206243 NIL PARSCURV (NIL T) -8 NIL NIL NIL) (-904 2205547 2205610 2205719 "PARSC2" 2205858 NIL PARSC2 (NIL T T) -7 NIL NIL NIL) (-903 2205174 2205244 2205341 "PARPCURV" 2205483 NIL PARPCURV (NIL T) -8 NIL NIL NIL) (-902 2204800 2204863 2204972 "PARPC2" 2205111 NIL PARPC2 (NIL T T) -7 NIL NIL NIL) (-901 2203789 2204173 2204355 "PARAMAST" 2204638 T PARAMAST (NIL) -8 NIL NIL NIL) (-900 2203297 2203395 2203514 "PAN2EXPR" 2203690 T PAN2EXPR (NIL) -7 NIL NIL NIL) (-899 2201990 2202418 2202646 "PALETTE" 2203089 T PALETTE (NIL) -8 NIL NIL NIL) (-898 2200335 2200995 2201355 "PAIR" 2201676 NIL PAIR (NIL T T) -8 NIL NIL NIL) (-897 2193268 2199592 2199787 "PADICRC" 2200189 NIL PADICRC (NIL NIL T) -8 NIL NIL NIL) (-896 2185525 2192612 2192797 "PADICRAT" 2193115 NIL PADICRAT (NIL NIL) -8 NIL NIL NIL) (-895 2182322 2184185 2184225 "PADICCT" 2184806 NIL PADICCT (NIL NIL) -9 NIL 2185088 NIL) (-894 2180338 2182259 2182304 "PADIC" 2182309 NIL PADIC (NIL NIL) -8 NIL NIL NIL) (-893 2179283 2179495 2179763 "PADEPAC" 2180125 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL NIL) (-892 2178483 2178628 2178834 "PADE" 2179145 NIL PADE (NIL T T T) -7 NIL NIL NIL) (-891 2176716 2177691 2177971 "OWP" 2178287 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-890 2176161 2176422 2176519 "OVERSET" 2176639 T OVERSET (NIL) -8 NIL NIL NIL) (-889 2175081 2175766 2175938 "OVAR" 2176029 NIL OVAR (NIL NIL) -8 NIL NIL NIL) (-888 2163317 2166190 2168390 "OUTFORM" 2172901 T OUTFORM (NIL) -8 NIL NIL NIL) (-887 2162599 2162914 2163041 "OUTBFILE" 2163210 T OUTBFILE (NIL) -8 NIL NIL NIL) (-886 2161876 2162071 2162099 "OUTBCON" 2162417 T OUTBCON (NIL) -9 NIL 2162583 NIL) (-885 2161459 2161589 2161746 "OUTBCON-" 2161751 NIL OUTBCON- (NIL T) -8 NIL NIL NIL) (-884 2160699 2160844 2161005 "OUT" 2161318 T OUT (NIL) -7 NIL NIL NIL) (-883 2159995 2160428 2160517 "OSI" 2160630 T OSI (NIL) -8 NIL NIL NIL) (-882 2159414 2159836 2159864 "OSGROUP" 2159869 T OSGROUP (NIL) -9 NIL 2159891 NIL) (-881 2158125 2158386 2158671 "ORTHPOL" 2159161 NIL ORTHPOL (NIL T) -7 NIL NIL NIL) (-880 2155376 2157960 2158081 "OREUP" 2158086 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL NIL) (-879 2152479 2155067 2155194 "ORESUP" 2155318 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL NIL) (-878 2149979 2150507 2151068 "OREPCTO" 2151968 NIL OREPCTO (NIL T T) -7 NIL NIL NIL) (-877 2143357 2145852 2145893 "OREPCAT" 2148241 NIL OREPCAT (NIL T) -9 NIL 2149345 NIL) (-876 2140330 2141286 2142344 "OREPCAT-" 2142349 NIL OREPCAT- (NIL T T) -8 NIL NIL NIL) (-875 2139522 2139800 2139828 "ORDTYPE" 2140137 T ORDTYPE (NIL) -9 NIL 2140300 NIL) (-874 2138823 2139039 2139294 "ORDTYPE-" 2139299 NIL ORDTYPE- (NIL T) -8 NIL NIL NIL) (-873 2138179 2138562 2138720 "ORDSTRCT" 2138725 NIL ORDSTRCT (NIL T NIL) -8 NIL NIL NIL) (-872 2137677 2138047 2138075 "ORDSET" 2138080 T ORDSET (NIL) -9 NIL 2138102 NIL) (-871 2136328 2137299 2137327 "ORDRING" 2137332 T ORDRING (NIL) -9 NIL 2137361 NIL) (-870 2135579 2136144 2136172 "ORDMON" 2136177 T ORDMON (NIL) -9 NIL 2136198 NIL) (-869 2134723 2134888 2135083 "ORDFUNS" 2135428 NIL ORDFUNS (NIL NIL T) -7 NIL NIL NIL) (-868 2133938 2134453 2134481 "ORDFIN" 2134546 T ORDFIN (NIL) -9 NIL 2134620 NIL) (-867 2133192 2133331 2133517 "ORDCOMP2" 2133798 NIL ORDCOMP2 (NIL T T) -7 NIL NIL NIL) (-866 2129539 2131778 2132187 "ORDCOMP" 2132816 NIL ORDCOMP (NIL T) -8 NIL NIL NIL) (-865 2126060 2127030 2127844 "OPTPROB" 2128745 T OPTPROB (NIL) -8 NIL NIL NIL) (-864 2122802 2123501 2124205 "OPTPACK" 2125376 T OPTPACK (NIL) -7 NIL NIL NIL) (-863 2120415 2121241 2121269 "OPTCAT" 2122088 T OPTCAT (NIL) -9 NIL 2122738 NIL) (-862 2119733 2120092 2120197 "OPSIG" 2120330 T OPSIG (NIL) -8 NIL NIL NIL) (-861 2119495 2119540 2119606 "OPQUERY" 2119687 T OPQUERY (NIL) -7 NIL NIL NIL) (-860 2118801 2119081 2119122 "OPERCAT" 2119334 NIL OPERCAT (NIL T) -9 NIL 2119431 NIL) (-859 2118544 2118612 2118729 "OPERCAT-" 2118734 NIL OPERCAT- (NIL T T) -8 NIL NIL NIL) (-858 2115460 2116855 2117359 "OP" 2118073 NIL OP (NIL T) -8 NIL NIL NIL) (-857 2114753 2114880 2115054 "ONECOMP2" 2115332 NIL ONECOMP2 (NIL T T) -7 NIL NIL NIL) (-856 2111366 2113550 2113919 "ONECOMP" 2114417 NIL ONECOMP (NIL T) -8 NIL NIL NIL) (-855 2110767 2110891 2111021 "OMSERVER" 2111256 T OMSERVER (NIL) -7 NIL NIL NIL) (-854 2107279 2110205 2110245 "OMSAGG" 2110306 NIL OMSAGG (NIL T) -9 NIL 2110371 NIL) (-853 2105854 2106165 2106447 "OMPKG" 2107017 T OMPKG (NIL) -7 NIL NIL NIL) (-852 2104201 2105403 2105572 "OMLO" 2105735 NIL OMLO (NIL T T) -8 NIL NIL NIL) (-851 2103137 2103308 2103528 "OMEXPR" 2104027 NIL OMEXPR (NIL T) -7 NIL NIL NIL) (-850 2102222 2102558 2102718 "OMERRK" 2102997 T OMERRK (NIL) -8 NIL NIL NIL) (-849 2101459 2101768 2101904 "OMERR" 2102106 T OMERR (NIL) -8 NIL NIL NIL) (-848 2100850 2101136 2101244 "OMENC" 2101371 T OMENC (NIL) -8 NIL NIL NIL) (-847 2094487 2095930 2097101 "OMDEV" 2099699 T OMDEV (NIL) -8 NIL NIL NIL) (-846 2093520 2093727 2093921 "OMCONN" 2094313 T OMCONN (NIL) -8 NIL NIL NIL) (-845 2092926 2093053 2093081 "OM" 2093380 T OM (NIL) -9 NIL NIL NIL) (-844 2091204 2092396 2092424 "OINTDOM" 2092429 T OINTDOM (NIL) -9 NIL 2092450 NIL) (-843 2088279 2089892 2090229 "OFMONOID" 2090899 NIL OFMONOID (NIL T) -8 NIL NIL NIL) (-842 2087513 2088216 2088261 "ODVAR" 2088266 NIL ODVAR (NIL T) -8 NIL NIL NIL) (-841 2084657 2087258 2087413 "ODR" 2087418 NIL ODR (NIL T T NIL) -8 NIL NIL NIL) (-840 2076069 2084433 2084559 "ODPOL" 2084564 NIL ODPOL (NIL T) -8 NIL NIL NIL) (-839 2069363 2075941 2076046 "ODP" 2076051 NIL ODP (NIL NIL T NIL) -8 NIL NIL NIL) (-838 2068105 2068344 2068619 "ODETOOLS" 2069137 NIL ODETOOLS (NIL T T) -7 NIL NIL NIL) (-837 2065048 2065730 2066446 "ODESYS" 2067438 NIL ODESYS (NIL T T) -7 NIL NIL NIL) (-836 2059878 2060838 2061863 "ODERTRIC" 2064123 NIL ODERTRIC (NIL T T) -7 NIL NIL NIL) (-835 2059298 2059386 2059580 "ODERED" 2059790 NIL ODERED (NIL T T T T T) -7 NIL NIL NIL) (-834 2056150 2056734 2057411 "ODERAT" 2058721 NIL ODERAT (NIL T T) -7 NIL NIL NIL) (-833 2053066 2053574 2054171 "ODEPRRIC" 2055679 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL NIL) (-832 2050961 2051605 2052091 "ODEPROB" 2052600 T ODEPROB (NIL) -8 NIL NIL NIL) (-831 2047427 2047966 2048613 "ODEPRIM" 2050440 NIL ODEPRIM (NIL T T T T) -7 NIL NIL NIL) (-830 2046670 2046778 2047038 "ODEPAL" 2047319 NIL ODEPAL (NIL T T T T) -7 NIL NIL NIL) (-829 2042772 2043623 2044487 "ODEPACK" 2045826 T ODEPACK (NIL) -7 NIL NIL NIL) (-828 2041815 2041940 2042162 "ODEINT" 2042661 NIL ODEINT (NIL T T) -7 NIL NIL NIL) (-827 2035880 2037341 2038788 "ODEIFTBL" 2040388 T ODEIFTBL (NIL) -8 NIL NIL NIL) (-826 2031230 2032064 2033016 "ODEEF" 2035039 NIL ODEEF (NIL T T) -7 NIL NIL NIL) (-825 2030573 2030668 2030891 "ODECONST" 2031135 NIL ODECONST (NIL T T T) -7 NIL NIL NIL) (-824 2028636 2029345 2029373 "ODECAT" 2029978 T ODECAT (NIL) -9 NIL 2030509 NIL) (-823 2028268 2028317 2028444 "OCTCT2" 2028587 NIL OCTCT2 (NIL T T T T) -7 NIL NIL NIL) (-822 2024768 2027973 2028095 "OCT" 2028178 NIL OCT (NIL T) -8 NIL NIL NIL) (-821 2023961 2024561 2024589 "OCAMON" 2024594 T OCAMON (NIL) -9 NIL 2024615 NIL) (-820 2018232 2021004 2021044 "OC" 2022141 NIL OC (NIL T) -9 NIL 2022999 NIL) (-819 2015267 2016207 2017197 "OC-" 2017291 NIL OC- (NIL T T) -8 NIL NIL NIL) (-818 2014687 2015112 2015140 "OASGP" 2015145 T OASGP (NIL) -9 NIL 2015165 NIL) (-817 2013783 2014410 2014438 "OAMONS" 2014478 T OAMONS (NIL) -9 NIL 2014521 NIL) (-816 2012959 2013518 2013546 "OAMON" 2013604 T OAMON (NIL) -9 NIL 2013656 NIL) (-815 2012817 2012850 2012918 "OAMON-" 2012923 NIL OAMON- (NIL T) -8 NIL NIL NIL) (-814 2011598 2012351 2012379 "OAGROUP" 2012526 T OAGROUP (NIL) -9 NIL 2012619 NIL) (-813 2011301 2011389 2011507 "OAGROUP-" 2011512 NIL OAGROUP- (NIL T) -8 NIL NIL NIL) (-812 2010983 2011039 2011128 "NUMTUBE" 2011245 NIL NUMTUBE (NIL T) -7 NIL NIL NIL) (-811 2004502 2006074 2007610 "NUMQUAD" 2009467 T NUMQUAD (NIL) -7 NIL NIL NIL) (-810 2000182 2001216 2002251 "NUMODE" 2003487 T NUMODE (NIL) -7 NIL NIL NIL) (-809 1997463 1998403 1998431 "NUMINT" 1999354 T NUMINT (NIL) -9 NIL 2000118 NIL) (-808 1996375 1996608 1996826 "NUMFMT" 1997265 T NUMFMT (NIL) -7 NIL NIL NIL) (-807 1982558 1985679 1988211 "NUMERIC" 1993882 NIL NUMERIC (NIL T) -7 NIL NIL NIL) (-806 1976262 1982006 1982101 "NTSCAT" 1982106 NIL NTSCAT (NIL T T T T) -9 NIL 1982145 NIL) (-805 1975442 1975621 1975814 "NTPOLFN" 1976101 NIL NTPOLFN (NIL T) -7 NIL NIL NIL) (-804 1975068 1975131 1975240 "NSUP2" 1975379 NIL NSUP2 (NIL T T) -7 NIL NIL NIL) (-803 1961850 1971893 1972705 "NSUP" 1974289 NIL NSUP (NIL T) -8 NIL NIL NIL) (-802 1950693 1961624 1961757 "NSMP" 1961762 NIL NSMP (NIL T T) -8 NIL NIL NIL) (-801 1949101 1949426 1949783 "NREP" 1950381 NIL NREP (NIL T) -7 NIL NIL NIL) (-800 1947680 1947944 1948302 "NPCOEF" 1948844 NIL NPCOEF (NIL T T T T T) -7 NIL NIL NIL) (-799 1946728 1946861 1947077 "NORMRETR" 1947561 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL NIL) (-798 1944739 1945059 1945468 "NORMPK" 1946436 NIL NORMPK (NIL T T T T T) -7 NIL NIL NIL) (-797 1944418 1944452 1944576 "NORMMA" 1944705 NIL NORMMA (NIL T T T T) -7 NIL NIL NIL) (-796 1944201 1944236 1944305 "NONE1" 1944382 NIL NONE1 (NIL T) -7 NIL NIL NIL) (-795 1943965 1944158 1944187 "NONE" 1944192 T NONE (NIL) -8 NIL NIL NIL) (-794 1943456 1943524 1943703 "NODE1" 1943897 NIL NODE1 (NIL T T) -7 NIL NIL NIL) (-793 1941517 1942579 1942834 "NNI" 1943181 T NNI (NIL) -8 NIL NIL 1943416) (-792 1939913 1940250 1940614 "NLINSOL" 1941185 NIL NLINSOL (NIL T) -7 NIL NIL NIL) (-791 1936094 1937149 1938048 "NIPROB" 1939034 T NIPROB (NIL) -8 NIL NIL NIL) (-790 1934833 1935085 1935387 "NFINTBAS" 1935856 NIL NFINTBAS (NIL T T) -7 NIL NIL NIL) (-789 1933917 1934483 1934524 "NETCLT" 1934696 NIL NETCLT (NIL T) -9 NIL 1934778 NIL) (-788 1932589 1932856 1933137 "NCODIV" 1933685 NIL NCODIV (NIL T T) -7 NIL NIL NIL) (-787 1932345 1932388 1932463 "NCNTFRAC" 1932546 NIL NCNTFRAC (NIL T) -7 NIL NIL NIL) (-786 1930501 1930889 1931309 "NCEP" 1931970 NIL NCEP (NIL T) -7 NIL NIL NIL) (-785 1929164 1930111 1930139 "NASRING" 1930249 T NASRING (NIL) -9 NIL 1930329 NIL) (-784 1928947 1929003 1929097 "NASRING-" 1929102 NIL NASRING- (NIL T) -8 NIL NIL NIL) (-783 1927914 1928565 1928593 "NARNG" 1928710 T NARNG (NIL) -9 NIL 1928801 NIL) (-782 1927588 1927673 1927807 "NARNG-" 1927812 NIL NARNG- (NIL T) -8 NIL NIL NIL) (-781 1926425 1926674 1926909 "NAGSP" 1927373 T NAGSP (NIL) -7 NIL NIL NIL) (-780 1917469 1919381 1921054 "NAGS" 1924772 T NAGS (NIL) -7 NIL NIL NIL) (-779 1915993 1916325 1916656 "NAGF07" 1917158 T NAGF07 (NIL) -7 NIL NIL NIL) (-778 1910465 1911822 1913129 "NAGF04" 1914706 T NAGF04 (NIL) -7 NIL NIL NIL) (-777 1903337 1905047 1906680 "NAGF02" 1908852 T NAGF02 (NIL) -7 NIL NIL NIL) (-776 1898501 1899661 1900778 "NAGF01" 1902240 T NAGF01 (NIL) -7 NIL NIL NIL) (-775 1892081 1893695 1895280 "NAGE04" 1896936 T NAGE04 (NIL) -7 NIL NIL NIL) (-774 1883142 1885371 1887501 "NAGE02" 1889971 T NAGE02 (NIL) -7 NIL NIL NIL) (-773 1879035 1880042 1881006 "NAGE01" 1882198 T NAGE01 (NIL) -7 NIL NIL NIL) (-772 1876812 1877364 1877922 "NAGD03" 1878497 T NAGD03 (NIL) -7 NIL NIL NIL) (-771 1868508 1870490 1872444 "NAGD02" 1874878 T NAGD02 (NIL) -7 NIL NIL NIL) (-770 1862247 1863744 1865184 "NAGD01" 1867088 T NAGD01 (NIL) -7 NIL NIL NIL) (-769 1858384 1859278 1860115 "NAGC06" 1861430 T NAGC06 (NIL) -7 NIL NIL NIL) (-768 1856831 1857181 1857537 "NAGC05" 1858048 T NAGC05 (NIL) -7 NIL NIL NIL) (-767 1856195 1856326 1856470 "NAGC02" 1856707 T NAGC02 (NIL) -7 NIL NIL NIL) (-766 1854996 1855723 1855763 "NAALG" 1855842 NIL NAALG (NIL T) -9 NIL 1855903 NIL) (-765 1854825 1854860 1854950 "NAALG-" 1854955 NIL NAALG- (NIL T T) -8 NIL NIL NIL) (-764 1848697 1849883 1851070 "MULTSQFR" 1853721 NIL MULTSQFR (NIL T T T T) -7 NIL NIL NIL) (-763 1848004 1848091 1848275 "MULTFACT" 1848609 NIL MULTFACT (NIL T T T T) -7 NIL NIL NIL) (-762 1840149 1844587 1844640 "MTSCAT" 1845710 NIL MTSCAT (NIL T T) -9 NIL 1846226 NIL) (-761 1839855 1839915 1840007 "MTHING" 1840089 NIL MTHING (NIL T) -7 NIL NIL NIL) (-760 1839641 1839680 1839740 "MSYSCMD" 1839815 T MSYSCMD (NIL) -7 NIL NIL NIL) (-759 1836386 1839202 1839243 "MSETAGG" 1839248 NIL MSETAGG (NIL T) -9 NIL 1839282 NIL) (-758 1832100 1835141 1835461 "MSET" 1836099 NIL MSET (NIL T) -8 NIL NIL NIL) (-757 1827702 1829479 1830224 "MRING" 1831400 NIL MRING (NIL T T) -8 NIL NIL NIL) (-756 1827262 1827335 1827466 "MRF2" 1827629 NIL MRF2 (NIL T T T) -7 NIL NIL NIL) (-755 1826874 1826915 1827059 "MRATFAC" 1827221 NIL MRATFAC (NIL T T T T) -7 NIL NIL NIL) (-754 1824444 1824781 1825212 "MPRFF" 1826579 NIL MPRFF (NIL T T T T) -7 NIL NIL NIL) (-753 1817778 1824298 1824395 "MPOLY" 1824400 NIL MPOLY (NIL NIL T) -8 NIL NIL NIL) (-752 1817262 1817303 1817511 "MPCPF" 1817737 NIL MPCPF (NIL T T T T) -7 NIL NIL NIL) (-751 1816770 1816819 1817003 "MPC3" 1817213 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL NIL) (-750 1815953 1816046 1816267 "MPC2" 1816685 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL NIL) (-749 1814230 1814591 1814981 "MONOTOOL" 1815613 NIL MONOTOOL (NIL T T) -7 NIL NIL NIL) (-748 1813375 1813758 1813786 "MONOID" 1814005 T MONOID (NIL) -9 NIL 1814152 NIL) (-747 1812891 1813040 1813221 "MONOID-" 1813226 NIL MONOID- (NIL T) -8 NIL NIL NIL) (-746 1801864 1808711 1808770 "MONOGEN" 1809444 NIL MONOGEN (NIL T T) -9 NIL 1809900 NIL) (-745 1798914 1799817 1800817 "MONOGEN-" 1800936 NIL MONOGEN- (NIL T T T) -8 NIL NIL NIL) (-744 1797631 1798179 1798207 "MONADWU" 1798599 T MONADWU (NIL) -9 NIL 1798837 NIL) (-743 1796961 1797162 1797410 "MONADWU-" 1797415 NIL MONADWU- (NIL T) -8 NIL NIL NIL) (-742 1796246 1796550 1796578 "MONAD" 1796785 T MONAD (NIL) -9 NIL 1796897 NIL) (-741 1795913 1796009 1796141 "MONAD-" 1796146 NIL MONAD- (NIL T) -8 NIL NIL NIL) (-740 1794052 1794826 1795105 "MOEBIUS" 1795666 NIL MOEBIUS (NIL T) -8 NIL NIL NIL) (-739 1793220 1793720 1793760 "MODULE" 1793765 NIL MODULE (NIL T) -9 NIL 1793804 NIL) (-738 1792758 1792884 1793074 "MODULE-" 1793079 NIL MODULE- (NIL T T) -8 NIL NIL NIL) (-737 1790288 1791122 1791449 "MODRING" 1792582 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-736 1787017 1788393 1788914 "MODOP" 1789817 NIL MODOP (NIL T T) -8 NIL NIL NIL) (-735 1785503 1786084 1786361 "MODMONOM" 1786880 NIL MODMONOM (NIL T T NIL) -8 NIL NIL NIL) (-734 1774263 1783794 1784208 "MODMON" 1785140 NIL MODMON (NIL T T) -8 NIL NIL NIL) (-733 1771096 1773107 1773383 "MODFIELD" 1774138 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL NIL) (-732 1770007 1770377 1770567 "MMLFORM" 1770926 T MMLFORM (NIL) -8 NIL NIL NIL) (-731 1769527 1769576 1769755 "MMAP" 1769958 NIL MMAP (NIL T T T T T T) -7 NIL NIL NIL) (-730 1767420 1768359 1768400 "MLO" 1768823 NIL MLO (NIL T) -9 NIL 1769065 NIL) (-729 1764768 1765302 1765904 "MLIFT" 1766901 NIL MLIFT (NIL T T T T) -7 NIL NIL NIL) (-728 1764147 1764243 1764397 "MKUCFUNC" 1764679 NIL MKUCFUNC (NIL T T T) -7 NIL NIL NIL) (-727 1763740 1763816 1763939 "MKRECORD" 1764070 NIL MKRECORD (NIL T T) -7 NIL NIL NIL) (-726 1762763 1762949 1763177 "MKFUNC" 1763551 NIL MKFUNC (NIL T) -7 NIL NIL NIL) (-725 1762139 1762255 1762411 "MKFLCFN" 1762646 NIL MKFLCFN (NIL T) -7 NIL NIL NIL) (-724 1761404 1761518 1761703 "MKBCFUNC" 1762032 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL NIL) (-723 1757401 1760958 1761094 "MINT" 1761288 T MINT (NIL) -8 NIL NIL NIL) (-722 1756183 1756456 1756733 "MHROWRED" 1757156 NIL MHROWRED (NIL T) -7 NIL NIL NIL) (-721 1750934 1754718 1755123 "MFLOAT" 1755798 T MFLOAT (NIL) -8 NIL NIL NIL) (-720 1750279 1750367 1750538 "MFINFACT" 1750846 NIL MFINFACT (NIL T T T T) -7 NIL NIL NIL) (-719 1746558 1747442 1748326 "MESH" 1749415 T MESH (NIL) -7 NIL NIL NIL) (-718 1744912 1745260 1745613 "MDDFACT" 1746245 NIL MDDFACT (NIL T) -7 NIL NIL NIL) (-717 1741448 1744043 1744084 "MDAGG" 1744339 NIL MDAGG (NIL T) -9 NIL 1744482 NIL) (-716 1729171 1740741 1740948 "MCMPLX" 1741261 T MCMPLX (NIL) -8 NIL NIL NIL) (-715 1728290 1728454 1728655 "MCDEN" 1729020 NIL MCDEN (NIL T T) -7 NIL NIL NIL) (-714 1726138 1726450 1726830 "MCALCFN" 1728020 NIL MCALCFN (NIL T T T T) -7 NIL NIL NIL) (-713 1725015 1725303 1725536 "MAYBE" 1725944 NIL MAYBE (NIL T) -8 NIL NIL NIL) (-712 1722573 1723150 1723712 "MATSTOR" 1724486 NIL MATSTOR (NIL T) -7 NIL NIL NIL) (-711 1717995 1721945 1722193 "MATRIX" 1722358 NIL MATRIX (NIL T) -8 NIL NIL NIL) (-710 1713695 1714468 1715204 "MATLIN" 1717352 NIL MATLIN (NIL T T T T) -7 NIL NIL NIL) (-709 1712271 1712442 1712775 "MATCAT2" 1713530 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-708 1701610 1705328 1705405 "MATCAT" 1710437 NIL MATCAT (NIL T T T) -9 NIL 1711909 NIL) (-707 1697563 1698873 1700286 "MATCAT-" 1700291 NIL MATCAT- (NIL T T T T) -8 NIL NIL NIL) (-706 1695639 1695999 1696383 "MAPPKG3" 1697238 NIL MAPPKG3 (NIL T T T) -7 NIL NIL NIL) (-705 1694596 1694793 1695015 "MAPPKG2" 1695463 NIL MAPPKG2 (NIL T T) -7 NIL NIL NIL) (-704 1693053 1693379 1693706 "MAPPKG1" 1694302 NIL MAPPKG1 (NIL T) -7 NIL NIL NIL) (-703 1692054 1692459 1692636 "MAPPAST" 1692896 T MAPPAST (NIL) -8 NIL NIL NIL) (-702 1691659 1691723 1691846 "MAPHACK3" 1691990 NIL MAPHACK3 (NIL T T T) -7 NIL NIL NIL) (-701 1691239 1691312 1691426 "MAPHACK2" 1691591 NIL MAPHACK2 (NIL T T) -7 NIL NIL NIL) (-700 1690665 1690780 1690922 "MAPHACK1" 1691130 NIL MAPHACK1 (NIL T) -7 NIL NIL NIL) (-699 1688588 1689365 1689669 "MAGMA" 1690393 NIL MAGMA (NIL T) -8 NIL NIL NIL) (-698 1688007 1688312 1688403 "MACROAST" 1688517 T MACROAST (NIL) -8 NIL NIL NIL) (-697 1684250 1686246 1686707 "M3D" 1687579 NIL M3D (NIL T) -8 NIL NIL NIL) (-696 1677722 1682561 1682602 "LZSTAGG" 1683384 NIL LZSTAGG (NIL T) -9 NIL 1683679 NIL) (-695 1673404 1674853 1676310 "LZSTAGG-" 1676315 NIL LZSTAGG- (NIL T T) -8 NIL NIL NIL) (-694 1670317 1671295 1671782 "LWORD" 1672949 NIL LWORD (NIL T) -8 NIL NIL NIL) (-693 1669839 1670121 1670196 "LSTAST" 1670262 T LSTAST (NIL) -8 NIL NIL NIL) (-692 1661767 1669610 1669744 "LSQM" 1669749 NIL LSQM (NIL NIL T) -8 NIL NIL NIL) (-691 1660985 1661130 1661358 "LSPP" 1661622 NIL LSPP (NIL T T T T) -7 NIL NIL NIL) (-690 1657722 1658438 1659168 "LSMP1" 1660287 NIL LSMP1 (NIL T) -7 NIL NIL NIL) (-689 1655504 1655835 1656291 "LSMP" 1657411 NIL LSMP (NIL T T T T) -7 NIL NIL NIL) (-688 1648632 1654594 1654635 "LSAGG" 1654697 NIL LSAGG (NIL T) -9 NIL 1654775 NIL) (-687 1645141 1646251 1647464 "LSAGG-" 1647469 NIL LSAGG- (NIL T T) -8 NIL NIL NIL) (-686 1642436 1644285 1644534 "LPOLY" 1644936 NIL LPOLY (NIL T T) -8 NIL NIL NIL) (-685 1642012 1642103 1642226 "LPEFRAC" 1642345 NIL LPEFRAC (NIL T) -7 NIL NIL NIL) (-684 1641695 1641774 1641802 "LOGIC" 1641913 T LOGIC (NIL) -9 NIL 1641995 NIL) (-683 1641551 1641580 1641651 "LOGIC-" 1641656 NIL LOGIC- (NIL T) -8 NIL NIL NIL) (-682 1640726 1640884 1641077 "LODOOPS" 1641407 NIL LODOOPS (NIL T T) -7 NIL NIL NIL) (-681 1639250 1639499 1639852 "LODOF" 1640473 NIL LODOF (NIL T T) -7 NIL NIL NIL) (-680 1635126 1637885 1637926 "LODOCAT" 1638364 NIL LODOCAT (NIL T) -9 NIL 1638575 NIL) (-679 1634841 1634917 1635044 "LODOCAT-" 1635049 NIL LODOCAT- (NIL T T) -8 NIL NIL NIL) (-678 1631827 1634682 1634800 "LODO2" 1634805 NIL LODO2 (NIL T T) -8 NIL NIL NIL) (-677 1628934 1631764 1631809 "LODO1" 1631814 NIL LODO1 (NIL T) -8 NIL NIL NIL) (-676 1626029 1628850 1628916 "LODO" 1628921 NIL LODO (NIL T NIL) -8 NIL NIL NIL) (-675 1624898 1625075 1625380 "LODEEF" 1625852 NIL LODEEF (NIL T T T) -7 NIL NIL NIL) (-674 1622884 1623992 1624245 "LO" 1624730 NIL LO (NIL T T T) -8 NIL NIL NIL) (-673 1617856 1621050 1621091 "LNAGG" 1621953 NIL LNAGG (NIL T) -9 NIL 1622388 NIL) (-672 1616949 1617217 1617559 "LNAGG-" 1617564 NIL LNAGG- (NIL T T) -8 NIL NIL NIL) (-671 1612929 1613874 1614513 "LMOPS" 1616364 NIL LMOPS (NIL T T NIL) -8 NIL NIL NIL) (-670 1612228 1612706 1612747 "LMODULE" 1612752 NIL LMODULE (NIL T) -9 NIL 1612778 NIL) (-669 1609183 1611873 1611996 "LMDICT" 1612138 NIL LMDICT (NIL T) -8 NIL NIL NIL) (-668 1608759 1608973 1609014 "LLINSET" 1609075 NIL LLINSET (NIL T) -9 NIL 1609119 NIL) (-667 1608404 1608667 1608727 "LITERAL" 1608732 NIL LITERAL (NIL T) -8 NIL NIL NIL) (-666 1607923 1608003 1608142 "LIST3" 1608324 NIL LIST3 (NIL T T T) -7 NIL NIL NIL) (-665 1606021 1606369 1606768 "LIST2MAP" 1607570 NIL LIST2MAP (NIL T T) -7 NIL NIL NIL) (-664 1605010 1605206 1605434 "LIST2" 1605839 NIL LIST2 (NIL T T) -7 NIL NIL NIL) (-663 1597464 1603944 1604248 "LIST" 1604739 NIL LIST (NIL T) -8 NIL NIL NIL) (-662 1597047 1597283 1597324 "LINSET" 1597329 NIL LINSET (NIL T) -9 NIL 1597363 NIL) (-661 1595861 1596555 1596722 "LINFORM" 1596932 NIL LINFORM (NIL T NIL) -8 NIL NIL NIL) (-660 1594160 1594888 1594929 "LINEXP" 1595419 NIL LINEXP (NIL T) -9 NIL 1595692 NIL) (-659 1592736 1593640 1593821 "LINELT" 1594031 NIL LINELT (NIL T NIL) -8 NIL NIL NIL) (-658 1591293 1591573 1591884 "LINDEP" 1592488 NIL LINDEP (NIL T T) -7 NIL NIL NIL) (-657 1590429 1591025 1591135 "LINBASIS" 1591223 NIL LINBASIS (NIL NIL) -8 NIL NIL NIL) (-656 1587166 1587915 1588692 "LIMITRF" 1589684 NIL LIMITRF (NIL T) -7 NIL NIL NIL) (-655 1585451 1585765 1586174 "LIMITPS" 1586861 NIL LIMITPS (NIL T T) -7 NIL NIL NIL) (-654 1584279 1584854 1584894 "LIECAT" 1585034 NIL LIECAT (NIL T) -9 NIL 1585185 NIL) (-653 1584114 1584147 1584235 "LIECAT-" 1584240 NIL LIECAT- (NIL T T) -8 NIL NIL NIL) (-652 1578134 1583625 1583853 "LIE" 1583935 NIL LIE (NIL T T) -8 NIL NIL NIL) (-651 1570319 1577674 1577830 "LIB" 1577998 T LIB (NIL) -8 NIL NIL NIL) (-650 1565888 1566837 1567772 "LGROBP" 1569436 NIL LGROBP (NIL NIL T) -7 NIL NIL NIL) (-649 1564512 1565420 1565448 "LFCAT" 1565655 T LFCAT (NIL) -9 NIL 1565794 NIL) (-648 1562450 1562784 1563134 "LF" 1564233 NIL LF (NIL T T) -7 NIL NIL NIL) (-647 1559310 1559982 1560670 "LEXTRIPK" 1561814 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL NIL) (-646 1555898 1556880 1557383 "LEXP" 1558890 NIL LEXP (NIL T T NIL) -8 NIL NIL NIL) (-645 1555314 1555619 1555711 "LETAST" 1555826 T LETAST (NIL) -8 NIL NIL NIL) (-644 1553700 1554025 1554426 "LEADCDET" 1554996 NIL LEADCDET (NIL T T T T) -7 NIL NIL NIL) (-643 1552878 1552964 1553193 "LAZM3PK" 1553621 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL NIL) (-642 1547403 1550955 1551493 "LAUPOL" 1552390 NIL LAUPOL (NIL T T) -8 NIL NIL NIL) (-641 1546976 1547026 1547187 "LAPLACE" 1547353 NIL LAPLACE (NIL T T) -7 NIL NIL NIL) (-640 1545824 1546540 1546581 "LALG" 1546643 NIL LALG (NIL T) -9 NIL 1546702 NIL) (-639 1545520 1545597 1545733 "LALG-" 1545738 NIL LALG- (NIL T T) -8 NIL NIL NIL) (-638 1543257 1544621 1544872 "LA" 1545353 NIL LA (NIL T T T) -8 NIL NIL NIL) (-637 1543086 1543116 1543157 "KVTFROM" 1543219 NIL KVTFROM (NIL T) -9 NIL NIL NIL) (-636 1541843 1542453 1542638 "KTVLOGIC" 1542921 T KTVLOGIC (NIL) -8 NIL NIL NIL) (-635 1541672 1541702 1541743 "KRCFROM" 1541805 NIL KRCFROM (NIL T) -9 NIL NIL NIL) (-634 1540564 1540763 1541062 "KOVACIC" 1541472 NIL KOVACIC (NIL T T) -7 NIL NIL NIL) (-633 1540393 1540423 1540464 "KONVERT" 1540526 NIL KONVERT (NIL T) -9 NIL NIL NIL) (-632 1540222 1540252 1540293 "KOERCE" 1540355 NIL KOERCE (NIL T) -9 NIL NIL NIL) (-631 1539706 1539799 1539931 "KERNEL2" 1540136 NIL KERNEL2 (NIL T T) -7 NIL NIL NIL) (-630 1537393 1538299 1538676 "KERNEL" 1539362 NIL KERNEL (NIL T) -8 NIL NIL NIL) (-629 1530864 1535870 1535924 "KDAGG" 1536301 NIL KDAGG (NIL T T) -9 NIL 1536507 NIL) (-628 1530375 1530517 1530722 "KDAGG-" 1530727 NIL KDAGG- (NIL T T T) -8 NIL NIL NIL) (-627 1523075 1530036 1530191 "KAFILE" 1530253 NIL KAFILE (NIL T) -8 NIL NIL NIL) (-626 1522679 1522964 1523027 "JVMOP" 1523032 T JVMOP (NIL) -8 NIL NIL NIL) (-625 1521415 1521919 1522168 "JVMMDACC" 1522450 T JVMMDACC (NIL) -8 NIL NIL NIL) (-624 1520351 1520805 1521010 "JVMFDACC" 1521230 T JVMFDACC (NIL) -8 NIL NIL NIL) (-623 1518932 1519427 1519727 "JVMCSTTG" 1520071 T JVMCSTTG (NIL) -8 NIL NIL NIL) (-622 1518068 1518472 1518633 "JVMCFACC" 1518791 T JVMCFACC (NIL) -8 NIL NIL NIL) (-621 1517746 1517985 1518034 "JVMBCODE" 1518039 T JVMBCODE (NIL) -8 NIL NIL NIL) (-620 1511765 1517257 1517485 "JORDAN" 1517567 NIL JORDAN (NIL T T) -8 NIL NIL NIL) (-619 1511078 1511414 1511535 "JOINAST" 1511664 T JOINAST (NIL) -8 NIL NIL NIL) (-618 1507113 1509255 1509309 "IXAGG" 1510238 NIL IXAGG (NIL T T) -9 NIL 1510697 NIL) (-617 1505966 1506338 1506757 "IXAGG-" 1506762 NIL IXAGG- (NIL T T T) -8 NIL NIL NIL) (-616 1501055 1505888 1505947 "IVECTOR" 1505952 NIL IVECTOR (NIL T NIL) -8 NIL NIL NIL) (-615 1499780 1500058 1500324 "ITUPLE" 1500822 NIL ITUPLE (NIL T) -8 NIL NIL NIL) (-614 1498252 1498459 1498754 "ITRIGMNP" 1499602 NIL ITRIGMNP (NIL T T T) -7 NIL NIL NIL) (-613 1496979 1497201 1497484 "ITFUN3" 1498028 NIL ITFUN3 (NIL T T T) -7 NIL NIL NIL) (-612 1496577 1496640 1496763 "ITFUN2" 1496902 NIL ITFUN2 (NIL T T) -8 NIL NIL NIL) (-611 1495682 1496057 1496231 "ITFORM" 1496423 T ITFORM (NIL) -8 NIL NIL NIL) (-610 1493451 1494702 1494980 "ITAYLOR" 1495437 NIL ITAYLOR (NIL T) -8 NIL NIL NIL) (-609 1481855 1487588 1488751 "ISUPS" 1492321 NIL ISUPS (NIL T) -8 NIL NIL NIL) (-608 1480947 1481099 1481335 "ISUMP" 1481702 NIL ISUMP (NIL T T T T) -7 NIL NIL NIL) (-607 1475797 1480892 1480933 "ISTRING" 1480938 NIL ISTRING (NIL NIL) -8 NIL NIL NIL) (-606 1475213 1475518 1475610 "ISAST" 1475725 T ISAST (NIL) -8 NIL NIL NIL) (-605 1474411 1474504 1474720 "IRURPK" 1475127 NIL IRURPK (NIL T T T T T) -7 NIL NIL NIL) (-604 1473323 1473548 1473788 "IRSN" 1474191 T IRSN (NIL) -7 NIL NIL NIL) (-603 1471368 1471749 1472178 "IRRF2F" 1472961 NIL IRRF2F (NIL T) -7 NIL NIL NIL) (-602 1471109 1471153 1471229 "IRREDFFX" 1471324 NIL IRREDFFX (NIL T) -7 NIL NIL NIL) (-601 1469682 1469983 1470282 "IROOT" 1470842 NIL IROOT (NIL T) -7 NIL NIL NIL) (-600 1468821 1469175 1469326 "IRFORM" 1469551 T IRFORM (NIL) -8 NIL NIL NIL) (-599 1467903 1468034 1468248 "IR2F" 1468704 NIL IR2F (NIL T T) -7 NIL NIL NIL) (-598 1465492 1466011 1466577 "IR2" 1467381 NIL IR2 (NIL T T) -7 NIL NIL NIL) (-597 1461932 1463176 1463868 "IR" 1464832 NIL IR (NIL T) -8 NIL NIL NIL) (-596 1461717 1461757 1461817 "IPRNTPK" 1461892 T IPRNTPK (NIL) -7 NIL NIL NIL) (-595 1457691 1461606 1461675 "IPF" 1461680 NIL IPF (NIL NIL) -8 NIL NIL NIL) (-594 1455719 1457616 1457673 "IPADIC" 1457678 NIL IPADIC (NIL NIL NIL) -8 NIL NIL NIL) (-593 1454977 1455279 1455409 "IP4ADDR" 1455609 T IP4ADDR (NIL) -8 NIL NIL NIL) (-592 1454315 1454606 1454738 "IOMODE" 1454865 T IOMODE (NIL) -8 NIL NIL NIL) (-591 1453286 1453912 1454039 "IOBFILE" 1454208 T IOBFILE (NIL) -8 NIL NIL NIL) (-590 1452696 1453190 1453218 "IOBCON" 1453223 T IOBCON (NIL) -9 NIL 1453244 NIL) (-589 1452201 1452265 1452448 "INVLAPLA" 1452632 NIL INVLAPLA (NIL T T) -7 NIL NIL NIL) (-588 1441771 1444203 1446589 "INTTR" 1449865 NIL INTTR (NIL T T) -7 NIL NIL NIL) (-587 1438064 1438848 1439713 "INTTOOLS" 1440956 NIL INTTOOLS (NIL T T) -7 NIL NIL NIL) (-586 1437644 1437741 1437858 "INTSLPE" 1437967 T INTSLPE (NIL) -7 NIL NIL NIL) (-585 1435111 1437567 1437626 "INTRVL" 1437631 NIL INTRVL (NIL T) -8 NIL NIL NIL) (-584 1432689 1433225 1433800 "INTRF" 1434596 NIL INTRF (NIL T) -7 NIL NIL NIL) (-583 1432082 1432197 1432339 "INTRET" 1432587 NIL INTRET (NIL T) -7 NIL NIL NIL) (-582 1430055 1430468 1430938 "INTRAT" 1431690 NIL INTRAT (NIL T T) -7 NIL NIL NIL) (-581 1427300 1427901 1428520 "INTPM" 1429540 NIL INTPM (NIL T T) -7 NIL NIL NIL) (-580 1424017 1424644 1425382 "INTPAF" 1426686 NIL INTPAF (NIL T T T) -7 NIL NIL NIL) (-579 1419118 1420158 1421209 "INTPACK" 1422986 T INTPACK (NIL) -7 NIL NIL NIL) (-578 1418364 1418522 1418730 "INTHERTR" 1418960 NIL INTHERTR (NIL T T) -7 NIL NIL NIL) (-577 1417797 1417883 1418071 "INTHERAL" 1418278 NIL INTHERAL (NIL T T T T) -7 NIL NIL NIL) (-576 1415565 1416086 1416543 "INTHEORY" 1417360 T INTHEORY (NIL) -7 NIL NIL NIL) (-575 1406897 1408592 1410364 "INTG0" 1413917 NIL INTG0 (NIL T T T) -7 NIL NIL NIL) (-574 1387422 1392260 1397070 "INTFTBL" 1402107 T INTFTBL (NIL) -8 NIL NIL NIL) (-573 1386647 1386809 1386982 "INTFACT" 1387281 NIL INTFACT (NIL T) -7 NIL NIL NIL) (-572 1384044 1384520 1385077 "INTEF" 1386201 NIL INTEF (NIL T T) -7 NIL NIL NIL) (-571 1382241 1383136 1383164 "INTDOM" 1383465 T INTDOM (NIL) -9 NIL 1383672 NIL) (-570 1381580 1381784 1382026 "INTDOM-" 1382031 NIL INTDOM- (NIL T) -8 NIL NIL NIL) (-569 1377448 1379869 1379923 "INTCAT" 1380722 NIL INTCAT (NIL T) -9 NIL 1381043 NIL) (-568 1376902 1377023 1377151 "INTBIT" 1377340 T INTBIT (NIL) -7 NIL NIL NIL) (-567 1375583 1375755 1376062 "INTALG" 1376747 NIL INTALG (NIL T T T T T) -7 NIL NIL NIL) (-566 1375060 1375156 1375313 "INTAF" 1375487 NIL INTAF (NIL T T) -7 NIL NIL NIL) (-565 1368027 1374870 1375010 "INTABL" 1375015 NIL INTABL (NIL T T T) -8 NIL NIL NIL) (-564 1367268 1367830 1367895 "INT8" 1367929 T INT8 (NIL) -8 NIL NIL 1367974) (-563 1366508 1367070 1367135 "INT64" 1367169 T INT64 (NIL) -8 NIL NIL 1367214) (-562 1365748 1366310 1366375 "INT32" 1366409 T INT32 (NIL) -8 NIL NIL 1366454) (-561 1364988 1365550 1365615 "INT16" 1365649 T INT16 (NIL) -8 NIL NIL 1365694) (-560 1361192 1364785 1364894 "INT" 1364899 T INT (NIL) -8 NIL NIL NIL) (-559 1355301 1358740 1358768 "INS" 1359702 T INS (NIL) -9 NIL 1360367 NIL) (-558 1352458 1353378 1354319 "INS-" 1354392 NIL INS- (NIL T) -8 NIL NIL NIL) (-557 1351215 1351460 1351758 "INPSIGN" 1352211 NIL INPSIGN (NIL T T) -7 NIL NIL NIL) (-556 1350309 1350450 1350647 "INPRODPF" 1351095 NIL INPRODPF (NIL T T) -7 NIL NIL NIL) (-555 1349179 1349320 1349557 "INPRODFF" 1350189 NIL INPRODFF (NIL T T T T) -7 NIL NIL NIL) (-554 1348167 1348331 1348591 "INNMFACT" 1349015 NIL INNMFACT (NIL T T T T) -7 NIL NIL NIL) (-553 1347346 1347461 1347649 "INMODGCD" 1348066 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL NIL) (-552 1345830 1346099 1346423 "INFSP" 1347091 NIL INFSP (NIL T T T) -7 NIL NIL NIL) (-551 1344990 1345131 1345314 "INFPROD0" 1345710 NIL INFPROD0 (NIL T T) -7 NIL NIL NIL) (-550 1344588 1344660 1344758 "INFORM1" 1344925 NIL INFORM1 (NIL T) -7 NIL NIL NIL) (-549 1341155 1342653 1343168 "INFORM" 1344081 T INFORM (NIL) -8 NIL NIL NIL) (-548 1340660 1340767 1340881 "INFINITY" 1341061 T INFINITY (NIL) -7 NIL NIL NIL) (-547 1339734 1340380 1340481 "INETCLTS" 1340579 T INETCLTS (NIL) -8 NIL NIL NIL) (-546 1338332 1338600 1338921 "INEP" 1339482 NIL INEP (NIL T T T) -7 NIL NIL NIL) (-545 1337362 1338229 1338294 "INDE" 1338299 NIL INDE (NIL T) -8 NIL NIL NIL) (-544 1336914 1336994 1337111 "INCRMAPS" 1337289 NIL INCRMAPS (NIL T) -7 NIL NIL NIL) (-543 1335636 1336183 1336389 "INBFILE" 1336728 T INBFILE (NIL) -8 NIL NIL NIL) (-542 1330816 1331872 1332816 "INBFF" 1334724 NIL INBFF (NIL T) -7 NIL NIL NIL) (-541 1329670 1329993 1330021 "INBCON" 1330534 T INBCON (NIL) -9 NIL 1330800 NIL) (-540 1328880 1329145 1329421 "INBCON-" 1329426 NIL INBCON- (NIL T) -8 NIL NIL NIL) (-539 1328299 1328604 1328695 "INAST" 1328809 T INAST (NIL) -8 NIL NIL NIL) (-538 1327666 1327978 1328084 "IMPTAST" 1328213 T IMPTAST (NIL) -8 NIL NIL NIL) (-537 1323587 1327510 1327614 "IMATRIX" 1327619 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL NIL) (-536 1322279 1322418 1322734 "IMATQF" 1323443 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL NIL) (-535 1320459 1320726 1321063 "IMATLIN" 1322035 NIL IMATLIN (NIL T T T T) -7 NIL NIL NIL) (-534 1314374 1320383 1320441 "ILIST" 1320446 NIL ILIST (NIL T NIL) -8 NIL NIL NIL) (-533 1312040 1314234 1314347 "IIARRAY2" 1314352 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL NIL) (-532 1306861 1311951 1312015 "IFF" 1312020 NIL IFF (NIL NIL NIL) -8 NIL NIL NIL) (-531 1306142 1306478 1306594 "IFAST" 1306765 T IFAST (NIL) -8 NIL NIL NIL) (-530 1300654 1305434 1305622 "IFARRAY" 1305999 NIL IFARRAY (NIL T NIL) -8 NIL NIL NIL) (-529 1299692 1300558 1300631 "IFAMON" 1300636 NIL IFAMON (NIL T T NIL) -8 NIL NIL NIL) (-528 1299264 1299341 1299395 "IEVALAB" 1299602 NIL IEVALAB (NIL T T) -9 NIL NIL NIL) (-527 1298927 1299007 1299167 "IEVALAB-" 1299172 NIL IEVALAB- (NIL T T T) -8 NIL NIL NIL) (-526 1297960 1298816 1298891 "IDPOAMS" 1298896 NIL IDPOAMS (NIL T T) -8 NIL NIL NIL) (-525 1297062 1297849 1297924 "IDPOAM" 1297929 NIL IDPOAM (NIL T T) -8 NIL NIL NIL) (-524 1296443 1296977 1297039 "IDPO" 1297044 NIL IDPO (NIL T T) -8 NIL NIL NIL) (-523 1294923 1295450 1295502 "IDPC" 1296014 NIL IDPC (NIL T T) -9 NIL 1296295 NIL) (-522 1294255 1294815 1294888 "IDPAM" 1294893 NIL IDPAM (NIL T T) -8 NIL NIL NIL) (-521 1293470 1294147 1294220 "IDPAG" 1294225 NIL IDPAG (NIL T T) -8 NIL NIL NIL) (-520 1293014 1293276 1293366 "IDENT" 1293400 T IDENT (NIL) -8 NIL NIL NIL) (-519 1289233 1290117 1291012 "IDECOMP" 1292171 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL NIL) (-518 1281868 1283156 1284203 "IDEAL" 1288269 NIL IDEAL (NIL T T T T) -8 NIL NIL NIL) (-517 1281010 1281140 1281340 "ICDEN" 1281752 NIL ICDEN (NIL T T T T) -7 NIL NIL NIL) (-516 1279985 1280490 1280637 "ICARD" 1280883 T ICARD (NIL) -8 NIL NIL NIL) (-515 1278015 1278358 1278763 "IBPTOOLS" 1279662 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL NIL) (-514 1273130 1277635 1277748 "IBITS" 1277934 NIL IBITS (NIL NIL) -8 NIL NIL NIL) (-513 1269805 1270429 1271124 "IBATOOL" 1272547 NIL IBATOOL (NIL T T T) -7 NIL NIL NIL) (-512 1267566 1268046 1268579 "IBACHIN" 1269340 NIL IBACHIN (NIL T T T) -7 NIL NIL NIL) (-511 1265156 1267412 1267515 "IARRAY2" 1267520 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL NIL) (-510 1260869 1265082 1265139 "IARRAY1" 1265144 NIL IARRAY1 (NIL T NIL) -8 NIL NIL NIL) (-509 1253886 1259281 1259762 "IAN" 1260408 T IAN (NIL) -8 NIL NIL NIL) (-508 1253391 1253454 1253627 "IALGFACT" 1253823 NIL IALGFACT (NIL T T T T) -7 NIL NIL NIL) (-507 1252883 1253032 1253060 "HYPCAT" 1253267 T HYPCAT (NIL) -9 NIL NIL NIL) (-506 1252385 1252538 1252724 "HYPCAT-" 1252729 NIL HYPCAT- (NIL T) -8 NIL NIL NIL) (-505 1251932 1252180 1252263 "HOSTNAME" 1252322 T HOSTNAME (NIL) -8 NIL NIL NIL) (-504 1251765 1251814 1251855 "HOMOTOP" 1251860 NIL HOMOTOP (NIL T) -9 NIL 1251893 NIL) (-503 1248198 1249697 1249738 "HOAGG" 1250719 NIL HOAGG (NIL T) -9 NIL 1251448 NIL) (-502 1246714 1247191 1247717 "HOAGG-" 1247722 NIL HOAGG- (NIL T T) -8 NIL NIL NIL) (-501 1239771 1246307 1246457 "HEXADEC" 1246584 T HEXADEC (NIL) -8 NIL NIL NIL) (-500 1238483 1238741 1239004 "HEUGCD" 1239548 NIL HEUGCD (NIL T) -7 NIL NIL NIL) (-499 1237415 1238320 1238450 "HELLFDIV" 1238455 NIL HELLFDIV (NIL T T T T) -8 NIL NIL NIL) (-498 1235423 1237190 1237279 "HEAP" 1237358 NIL HEAP (NIL T) -8 NIL NIL NIL) (-497 1234620 1234975 1235109 "HEADAST" 1235309 T HEADAST (NIL) -8 NIL NIL NIL) (-496 1227958 1234535 1234597 "HDP" 1234602 NIL HDP (NIL NIL T) -8 NIL NIL NIL) (-495 1220977 1227593 1227745 "HDMP" 1227859 NIL HDMP (NIL NIL T) -8 NIL NIL NIL) (-494 1220283 1220441 1220605 "HB" 1220833 T HB (NIL) -7 NIL NIL NIL) (-493 1213293 1220129 1220233 "HASHTBL" 1220238 NIL HASHTBL (NIL T T NIL) -8 NIL NIL NIL) (-492 1212709 1213014 1213106 "HASAST" 1213221 T HASAST (NIL) -8 NIL NIL NIL) (-491 1210122 1212331 1212513 "HACKPI" 1212547 T HACKPI (NIL) -8 NIL NIL NIL) (-490 1205294 1209975 1210088 "GTSET" 1210093 NIL GTSET (NIL T T T T) -8 NIL NIL NIL) (-489 1198333 1205172 1205270 "GSTBL" 1205275 NIL GSTBL (NIL T T T NIL) -8 NIL NIL NIL) (-488 1190096 1197498 1197754 "GSERIES" 1198133 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL NIL) (-487 1189127 1189640 1189668 "GROUP" 1189871 T GROUP (NIL) -9 NIL 1190005 NIL) (-486 1188451 1188652 1188903 "GROUP-" 1188908 NIL GROUP- (NIL T) -8 NIL NIL NIL) (-485 1186800 1187139 1187526 "GROEBSOL" 1188128 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL NIL) (-484 1185628 1185988 1186039 "GRMOD" 1186568 NIL GRMOD (NIL T T) -9 NIL 1186736 NIL) (-483 1185384 1185432 1185560 "GRMOD-" 1185565 NIL GRMOD- (NIL T T T) -8 NIL NIL NIL) (-482 1180524 1181738 1182738 "GRIMAGE" 1184404 T GRIMAGE (NIL) -8 NIL NIL NIL) (-481 1178918 1179251 1179575 "GRDEF" 1180220 T GRDEF (NIL) -7 NIL NIL NIL) (-480 1178350 1178478 1178619 "GRAY" 1178797 T GRAY (NIL) -7 NIL NIL NIL) (-479 1177427 1177929 1177980 "GRALG" 1178133 NIL GRALG (NIL T T) -9 NIL 1178226 NIL) (-478 1177064 1177161 1177324 "GRALG-" 1177329 NIL GRALG- (NIL T T T) -8 NIL NIL NIL) (-477 1173545 1176647 1176826 "GPOLSET" 1176970 NIL GPOLSET (NIL T T T T) -8 NIL NIL NIL) (-476 1172893 1172956 1173214 "GOSPER" 1173482 NIL GOSPER (NIL T T T T T) -7 NIL NIL NIL) (-475 1168463 1169331 1169857 "GMODPOL" 1172592 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL NIL) (-474 1167450 1167652 1167890 "GHENSEL" 1168275 NIL GHENSEL (NIL T T) -7 NIL NIL NIL) (-473 1161522 1162449 1163469 "GENUPS" 1166534 NIL GENUPS (NIL T T) -7 NIL NIL NIL) (-472 1161213 1161270 1161359 "GENUFACT" 1161465 NIL GENUFACT (NIL T) -7 NIL NIL NIL) (-471 1160613 1160702 1160867 "GENPGCD" 1161131 NIL GENPGCD (NIL T T T T) -7 NIL NIL NIL) (-470 1160081 1160122 1160335 "GENMFACT" 1160572 NIL GENMFACT (NIL T T T T T) -7 NIL NIL NIL) (-469 1158618 1158904 1159211 "GENEEZ" 1159824 NIL GENEEZ (NIL T T) -7 NIL NIL NIL) (-468 1151796 1158229 1158391 "GDMP" 1158541 NIL GDMP (NIL NIL T T) -8 NIL NIL NIL) (-467 1140534 1145567 1146673 "GCNAALG" 1150779 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-466 1138661 1139709 1139737 "GCDDOM" 1139992 T GCDDOM (NIL) -9 NIL 1140149 NIL) (-465 1138101 1138258 1138473 "GCDDOM-" 1138478 NIL GCDDOM- (NIL T) -8 NIL NIL NIL) (-464 1126573 1129047 1131439 "GBINTERN" 1135792 NIL GBINTERN (NIL T T T T) -7 NIL NIL NIL) (-463 1124374 1124702 1125123 "GBF" 1126248 NIL GBF (NIL T T T T) -7 NIL NIL NIL) (-462 1123131 1123320 1123587 "GBEUCLID" 1124190 NIL GBEUCLID (NIL T T T T) -7 NIL NIL NIL) (-461 1121781 1121988 1122292 "GB" 1122910 NIL GB (NIL T T T T) -7 NIL NIL NIL) (-460 1121112 1121255 1121404 "GAUSSFAC" 1121652 T GAUSSFAC (NIL) -7 NIL NIL NIL) (-459 1119433 1119781 1120095 "GALUTIL" 1120831 NIL GALUTIL (NIL T) -7 NIL NIL NIL) (-458 1117693 1118015 1118339 "GALPOLYU" 1119160 NIL GALPOLYU (NIL T T) -7 NIL NIL NIL) (-457 1114992 1115348 1115755 "GALFACTU" 1117390 NIL GALFACTU (NIL T T T) -7 NIL NIL NIL) (-456 1106606 1108297 1109905 "GALFACT" 1113424 NIL GALFACT (NIL T) -7 NIL NIL NIL) (-455 1103892 1104652 1104680 "FVFUN" 1105836 T FVFUN (NIL) -9 NIL 1106556 NIL) (-454 1103122 1103340 1103368 "FVC" 1103659 T FVC (NIL) -9 NIL 1103842 NIL) (-453 1102723 1102947 1103015 "FUNDESC" 1103074 T FUNDESC (NIL) -8 NIL NIL NIL) (-452 1102296 1102520 1102601 "FUNCTION" 1102675 NIL FUNCTION (NIL NIL) -8 NIL NIL NIL) (-451 1100973 1101597 1101800 "FTEM" 1102113 T FTEM (NIL) -8 NIL NIL NIL) (-450 1098603 1099295 1099761 "FT" 1100527 T FT (NIL) -8 NIL NIL NIL) (-449 1096872 1097183 1097580 "FSUPFACT" 1098294 NIL FSUPFACT (NIL T T T) -7 NIL NIL NIL) (-448 1095191 1095558 1095890 "FST" 1096560 T FST (NIL) -8 NIL NIL NIL) (-447 1094372 1094496 1094684 "FSRED" 1095073 NIL FSRED (NIL T T) -7 NIL NIL NIL) (-446 1093061 1093327 1093674 "FSPRMELT" 1094087 NIL FSPRMELT (NIL T T) -7 NIL NIL NIL) (-445 1090271 1090805 1091291 "FSPECF" 1092624 NIL FSPECF (NIL T T) -7 NIL NIL NIL) (-444 1089793 1089853 1090023 "FSINT" 1090212 NIL FSINT (NIL T T) -7 NIL NIL NIL) (-443 1087929 1088786 1089089 "FSERIES" 1089572 NIL FSERIES (NIL T T) -8 NIL NIL NIL) (-442 1086953 1087087 1087311 "FSCINT" 1087809 NIL FSCINT (NIL T T) -7 NIL NIL NIL) (-441 1085977 1086138 1086365 "FSAGG2" 1086806 NIL FSAGG2 (NIL T T T T) -7 NIL NIL NIL) (-440 1081841 1084921 1084962 "FSAGG" 1085332 NIL FSAGG (NIL T) -9 NIL 1085591 NIL) (-439 1079441 1080204 1081000 "FSAGG-" 1081095 NIL FSAGG- (NIL T T) -8 NIL NIL NIL) (-438 1077101 1077399 1077947 "FS2UPS" 1079159 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL NIL) (-437 1075967 1076150 1076452 "FS2EXPXP" 1076926 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL NIL) (-436 1075595 1075644 1075773 "FS2" 1075918 NIL FS2 (NIL T T T T) -7 NIL NIL NIL) (-435 1055833 1065369 1065410 "FS" 1069294 NIL FS (NIL T) -9 NIL 1071583 NIL) (-434 1043894 1047469 1051526 "FS-" 1051826 NIL FS- (NIL T T) -8 NIL NIL NIL) (-433 1043308 1043435 1043587 "FRUTIL" 1043774 NIL FRUTIL (NIL T) -7 NIL NIL NIL) (-432 1037819 1040997 1041037 "FRNAALG" 1042357 NIL FRNAALG (NIL T) -9 NIL 1042955 NIL) (-431 1033300 1034568 1035843 "FRNAALG-" 1036593 NIL FRNAALG- (NIL T T) -8 NIL NIL NIL) (-430 1032932 1032981 1033108 "FRNAAF2" 1033251 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL NIL) (-429 1031219 1031781 1032077 "FRMOD" 1032744 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL NIL) (-428 1030404 1030497 1030788 "FRIDEAL2" 1031126 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-427 1028009 1028779 1029097 "FRIDEAL" 1030195 NIL FRIDEAL (NIL T T T T) -8 NIL NIL NIL) (-426 1027100 1027556 1027597 "FRETRCT" 1027602 NIL FRETRCT (NIL T) -9 NIL 1027778 NIL) (-425 1026158 1026443 1026794 "FRETRCT-" 1026799 NIL FRETRCT- (NIL T T) -8 NIL NIL NIL) (-424 1022979 1024442 1024501 "FRAMALG" 1025383 NIL FRAMALG (NIL T T) -9 NIL 1025675 NIL) (-423 1021017 1021568 1022198 "FRAMALG-" 1022421 NIL FRAMALG- (NIL T T T) -8 NIL NIL NIL) (-422 1020647 1020710 1020817 "FRAC2" 1020954 NIL FRAC2 (NIL T T) -7 NIL NIL NIL) (-421 1013640 1020120 1020397 "FRAC" 1020402 NIL FRAC (NIL T) -8 NIL NIL NIL) (-420 1013270 1013333 1013440 "FR2" 1013577 NIL FR2 (NIL T T) -7 NIL NIL NIL) (-419 1004187 1008765 1010123 "FR" 1011944 NIL FR (NIL T) -8 NIL NIL NIL) (-418 998106 1001566 1001594 "FPS" 1002713 T FPS (NIL) -9 NIL 1003270 NIL) (-417 997531 997664 997828 "FPS-" 997974 NIL FPS- (NIL T) -8 NIL NIL NIL) (-416 994497 996488 996516 "FPC" 996741 T FPC (NIL) -9 NIL 996883 NIL) (-415 994278 994330 994427 "FPC-" 994432 NIL FPC- (NIL T) -8 NIL NIL NIL) (-414 993036 993766 993807 "FPATMAB" 993812 NIL FPATMAB (NIL T) -9 NIL 993964 NIL) (-413 991179 991778 992125 "FPARFRAC" 992752 NIL FPARFRAC (NIL T T) -8 NIL NIL NIL) (-412 986471 987071 987753 "FORTRAN" 990611 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL NIL) (-411 984045 984709 984737 "FORTFN" 985797 T FORTFN (NIL) -9 NIL 986421 NIL) (-410 983797 983859 983887 "FORTCAT" 983946 T FORTCAT (NIL) -9 NIL 984008 NIL) (-409 981483 982013 982552 "FORT" 983278 T FORT (NIL) -7 NIL NIL NIL) (-408 981265 981301 981370 "FORMULA1" 981447 NIL FORMULA1 (NIL T) -7 NIL NIL NIL) (-407 979269 979881 980271 "FORMULA" 980895 T FORMULA (NIL) -8 NIL NIL NIL) (-406 978786 978844 979017 "FORDER" 979211 NIL FORDER (NIL T T T T) -7 NIL NIL NIL) (-405 977846 978046 978239 "FOP" 978613 T FOP (NIL) -7 NIL NIL NIL) (-404 976259 977126 977300 "FNLA" 977728 NIL FNLA (NIL NIL NIL T) -8 NIL NIL NIL) (-403 974878 975389 975417 "FNCAT" 975877 T FNCAT (NIL) -9 NIL 976137 NIL) (-402 974321 974837 974865 "FNAME" 974870 T FNAME (NIL) -8 NIL NIL NIL) (-401 972647 973820 973848 "FMTC" 973853 T FMTC (NIL) -9 NIL 973889 NIL) (-400 971196 972583 972629 "FMONOID" 972634 NIL FMONOID (NIL T) -8 NIL NIL NIL) (-399 967785 969151 969192 "FMONCAT" 970409 NIL FMONCAT (NIL T) -9 NIL 971014 NIL) (-398 965107 965855 965883 "FMFUN" 967027 T FMFUN (NIL) -9 NIL 967735 NIL) (-397 961980 963032 963086 "FMCAT" 964281 NIL FMCAT (NIL T T) -9 NIL 964776 NIL) (-396 961213 961430 961458 "FMC" 961748 T FMC (NIL) -9 NIL 961930 NIL) (-395 959881 960979 961079 "FM1" 961158 NIL FM1 (NIL T T) -8 NIL NIL NIL) (-394 958899 959623 959772 "FM" 959777 NIL FM (NIL T T) -8 NIL NIL NIL) (-393 956637 957089 957583 "FLOATRP" 958450 NIL FLOATRP (NIL T) -7 NIL NIL NIL) (-392 954039 954575 955153 "FLOATCP" 956104 NIL FLOATCP (NIL T) -7 NIL NIL NIL) (-391 946702 951768 952389 "FLOAT" 953438 T FLOAT (NIL) -8 NIL NIL NIL) (-390 945220 946294 946335 "FLINEXP" 946340 NIL FLINEXP (NIL T) -9 NIL 946433 NIL) (-389 944350 944609 944937 "FLINEXP-" 944942 NIL FLINEXP- (NIL T T) -8 NIL NIL NIL) (-388 943408 943570 943794 "FLASORT" 944202 NIL FLASORT (NIL T T) -7 NIL NIL NIL) (-387 940326 941378 941430 "FLALG" 942657 NIL FLALG (NIL T T) -9 NIL 943124 NIL) (-386 939350 939511 939738 "FLAGG2" 940179 NIL FLAGG2 (NIL T T T T) -7 NIL NIL NIL) (-385 932605 936759 936800 "FLAGG" 938062 NIL FLAGG (NIL T) -9 NIL 938714 NIL) (-384 931259 931670 932160 "FLAGG-" 932165 NIL FLAGG- (NIL T T) -8 NIL NIL NIL) (-383 927897 929104 929163 "FINRALG" 930291 NIL FINRALG (NIL T T) -9 NIL 930799 NIL) (-382 927021 927286 927625 "FINRALG-" 927630 NIL FINRALG- (NIL T T T) -8 NIL NIL NIL) (-381 926327 926626 926654 "FINITE" 926850 T FINITE (NIL) -9 NIL 926957 NIL) (-380 918278 920857 920897 "FINAALG" 924564 NIL FINAALG (NIL T) -9 NIL 926017 NIL) (-379 913394 914660 915804 "FINAALG-" 917183 NIL FINAALG- (NIL T T) -8 NIL NIL NIL) (-378 911954 912376 912430 "FILECAT" 913114 NIL FILECAT (NIL T T) -9 NIL 913330 NIL) (-377 911232 911709 911812 "FILE" 911884 NIL FILE (NIL T) -8 NIL NIL NIL) (-376 908635 910462 910490 "FIELD" 910530 T FIELD (NIL) -9 NIL 910610 NIL) (-375 907177 907640 908151 "FIELD-" 908156 NIL FIELD- (NIL T) -8 NIL NIL NIL) (-374 904860 905812 906159 "FGROUP" 906863 NIL FGROUP (NIL T) -8 NIL NIL NIL) (-373 903932 904114 904334 "FGLMICPK" 904692 NIL FGLMICPK (NIL T NIL) -7 NIL NIL NIL) (-372 899187 903857 903914 "FFX" 903919 NIL FFX (NIL T NIL) -8 NIL NIL NIL) (-371 898782 898849 898984 "FFSLPE" 899120 NIL FFSLPE (NIL T T T) -7 NIL NIL NIL) (-370 898280 898322 898531 "FFPOLY2" 898740 NIL FFPOLY2 (NIL T T) -7 NIL NIL NIL) (-369 894156 895052 895848 "FFPOLY" 897516 NIL FFPOLY (NIL T) -7 NIL NIL NIL) (-368 889425 894075 894138 "FFP" 894143 NIL FFP (NIL T NIL) -8 NIL NIL NIL) (-367 883956 888768 888958 "FFNBX" 889279 NIL FFNBX (NIL T NIL) -8 NIL NIL NIL) (-366 878289 883091 883349 "FFNBP" 883810 NIL FFNBP (NIL T NIL) -8 NIL NIL NIL) (-365 872327 877573 877784 "FFNB" 878122 NIL FFNB (NIL NIL NIL) -8 NIL NIL NIL) (-364 871147 871357 871672 "FFINTBAS" 872124 NIL FFINTBAS (NIL T T T) -7 NIL NIL NIL) (-363 866740 869394 869422 "FFIELDC" 870042 T FFIELDC (NIL) -9 NIL 870418 NIL) (-362 865360 865801 866284 "FFIELDC-" 866289 NIL FFIELDC- (NIL T) -8 NIL NIL NIL) (-361 864917 864975 865099 "FFHOM" 865302 NIL FFHOM (NIL T T T) -7 NIL NIL NIL) (-360 862576 863099 863616 "FFF" 864432 NIL FFF (NIL T) -7 NIL NIL NIL) (-359 857611 862318 862419 "FFCGX" 862519 NIL FFCGX (NIL T NIL) -8 NIL NIL NIL) (-358 852650 857343 857450 "FFCGP" 857554 NIL FFCGP (NIL T NIL) -8 NIL NIL NIL) (-357 847250 852377 852485 "FFCG" 852586 NIL FFCG (NIL NIL NIL) -8 NIL NIL NIL) (-356 846655 846704 846939 "FFCAT2" 847201 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-355 825337 836387 836473 "FFCAT" 841638 NIL FFCAT (NIL T T T) -9 NIL 843089 NIL) (-354 820348 821582 822896 "FFCAT-" 824126 NIL FFCAT- (NIL T T T T) -8 NIL NIL NIL) (-353 815169 820259 820323 "FF" 820328 NIL FF (NIL NIL NIL) -8 NIL NIL NIL) (-352 803822 808141 809361 "FEXPR" 814021 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL NIL) (-351 802750 803219 803260 "FEVALAB" 803344 NIL FEVALAB (NIL T) -9 NIL 803605 NIL) (-350 801867 802119 802457 "FEVALAB-" 802462 NIL FEVALAB- (NIL T T) -8 NIL NIL NIL) (-349 798729 799614 799729 "FDIVCAT" 801297 NIL FDIVCAT (NIL T T T T) -9 NIL 801734 NIL) (-348 798485 798518 798688 "FDIVCAT-" 798693 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL NIL) (-347 797699 797792 798069 "FDIV2" 798392 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL NIL) (-346 796109 797082 797285 "FDIV" 797598 NIL FDIV (NIL T T T T) -8 NIL NIL NIL) (-345 795017 795404 795606 "FCTRDATA" 795927 T FCTRDATA (NIL) -8 NIL NIL NIL) (-344 793673 793962 794251 "FCPAK1" 794748 T FCPAK1 (NIL) -7 NIL NIL NIL) (-343 792676 793173 793314 "FCOMP" 793564 NIL FCOMP (NIL T) -8 NIL NIL NIL) (-342 775990 779826 783364 "FC" 789158 T FC (NIL) -8 NIL NIL NIL) (-341 767699 772311 772351 "FAXF" 774153 NIL FAXF (NIL T) -9 NIL 774845 NIL) (-340 764840 765647 766465 "FAXF-" 766930 NIL FAXF- (NIL T T) -8 NIL NIL NIL) (-339 759409 764216 764392 "FARRAY" 764697 NIL FARRAY (NIL T) -8 NIL NIL NIL) (-338 753974 756356 756409 "FAMR" 757432 NIL FAMR (NIL T T) -9 NIL 757892 NIL) (-337 752798 753166 753601 "FAMR-" 753606 NIL FAMR- (NIL T T T) -8 NIL NIL NIL) (-336 751825 752720 752773 "FAMONOID" 752778 NIL FAMONOID (NIL T) -8 NIL NIL NIL) (-335 749455 750307 750360 "FAMONC" 751301 NIL FAMONC (NIL T T) -9 NIL 751687 NIL) (-334 747929 749209 749346 "FAGROUP" 749351 NIL FAGROUP (NIL T) -8 NIL NIL NIL) (-333 745682 746043 746446 "FACUTIL" 747610 NIL FACUTIL (NIL T T T T) -7 NIL NIL NIL) (-332 744769 744966 745188 "FACTFUNC" 745492 NIL FACTFUNC (NIL T) -7 NIL NIL NIL) (-331 736510 744072 744271 "EXPUPXS" 744625 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL NIL) (-330 733963 734533 735119 "EXPRTUBE" 735944 T EXPRTUBE (NIL) -7 NIL NIL NIL) (-329 730174 730826 731556 "EXPRODE" 733302 NIL EXPRODE (NIL T T) -7 NIL NIL NIL) (-328 724608 725315 726121 "EXPR2UPS" 729472 NIL EXPR2UPS (NIL T T) -7 NIL NIL NIL) (-327 724234 724297 724406 "EXPR2" 724545 NIL EXPR2 (NIL T T) -7 NIL NIL NIL) (-326 708542 722883 723312 "EXPR" 723838 NIL EXPR (NIL T) -8 NIL NIL NIL) (-325 698880 707693 707984 "EXPEXPAN" 708378 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL NIL) (-324 698300 698604 698695 "EXITAST" 698809 T EXITAST (NIL) -8 NIL NIL NIL) (-323 698064 698257 698286 "EXIT" 698291 T EXIT (NIL) -8 NIL NIL NIL) (-322 697685 697753 697866 "EVALCYC" 697996 NIL EVALCYC (NIL T) -7 NIL NIL NIL) (-321 697202 697344 697385 "EVALAB" 697555 NIL EVALAB (NIL T) -9 NIL 697659 NIL) (-320 696659 696805 697026 "EVALAB-" 697031 NIL EVALAB- (NIL T T) -8 NIL NIL NIL) (-319 693774 695315 695343 "EUCDOM" 695898 T EUCDOM (NIL) -9 NIL 696248 NIL) (-318 692134 692635 693218 "EUCDOM-" 693223 NIL EUCDOM- (NIL T) -8 NIL NIL NIL) (-317 691760 691823 691932 "ESTOOLS2" 692071 NIL ESTOOLS2 (NIL T T) -7 NIL NIL NIL) (-316 691505 691553 691633 "ESTOOLS1" 691712 NIL ESTOOLS1 (NIL T) -7 NIL NIL NIL) (-315 678822 681803 684553 "ESTOOLS" 688775 T ESTOOLS (NIL) -7 NIL NIL NIL) (-314 678561 678599 678681 "ESCONT1" 678784 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL NIL) (-313 674869 675696 676476 "ESCONT" 677801 T ESCONT (NIL) -7 NIL NIL NIL) (-312 674538 674594 674694 "ES2" 674813 NIL ES2 (NIL T T) -7 NIL NIL NIL) (-311 674162 674226 674335 "ES1" 674474 NIL ES1 (NIL T T) -7 NIL NIL NIL) (-310 667863 669793 669821 "ES" 672589 T ES (NIL) -9 NIL 673999 NIL) (-309 662540 664097 665914 "ES-" 666078 NIL ES- (NIL T) -8 NIL NIL NIL) (-308 661732 661885 662061 "ERROR" 662384 T ERROR (NIL) -7 NIL NIL NIL) (-307 654748 661591 661682 "EQTBL" 661687 NIL EQTBL (NIL T T) -8 NIL NIL NIL) (-306 654374 654437 654546 "EQ2" 654685 NIL EQ2 (NIL T T) -7 NIL NIL NIL) (-305 646633 649688 651137 "EQ" 652958 NIL -1502 (NIL T) -8 NIL NIL NIL) (-304 641875 642971 644064 "EP" 645572 NIL EP (NIL T) -7 NIL NIL NIL) (-303 640415 640766 641072 "ENV" 641589 T ENV (NIL) -8 NIL NIL NIL) (-302 639375 640049 640077 "ENTIRER" 640082 T ENTIRER (NIL) -9 NIL 640128 NIL) (-301 635794 637557 637918 "EMR" 639183 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL NIL) (-300 634898 635109 635163 "ELTAGG" 635543 NIL ELTAGG (NIL T T) -9 NIL 635754 NIL) (-299 634605 634679 634820 "ELTAGG-" 634825 NIL ELTAGG- (NIL T T T) -8 NIL NIL NIL) (-298 634363 634398 634452 "ELTAB" 634536 NIL ELTAB (NIL T T) -9 NIL 634588 NIL) (-297 633465 633635 633834 "ELFUTS" 634214 NIL ELFUTS (NIL T T) -7 NIL NIL NIL) (-296 633189 633263 633291 "ELEMFUN" 633396 T ELEMFUN (NIL) -9 NIL NIL NIL) (-295 633053 633080 633148 "ELEMFUN-" 633153 NIL ELEMFUN- (NIL T) -8 NIL NIL NIL) (-294 627464 631095 631136 "ELAGG" 632076 NIL ELAGG (NIL T) -9 NIL 632539 NIL) (-293 625641 626183 626846 "ELAGG-" 626851 NIL ELAGG- (NIL T T) -8 NIL NIL NIL) (-292 624923 625090 625246 "ELABOR" 625505 T ELABOR (NIL) -8 NIL NIL NIL) (-291 623529 623863 624157 "ELABEXPR" 624649 T ELABEXPR (NIL) -8 NIL NIL NIL) (-290 616041 618166 618995 "EFUPXS" 622804 NIL EFUPXS (NIL T T T T) -8 NIL NIL NIL) (-289 609167 611290 612101 "EFULS" 615316 NIL EFULS (NIL T T T) -8 NIL NIL NIL) (-288 606604 607010 607482 "EFSTRUC" 608799 NIL EFSTRUC (NIL T T) -7 NIL NIL NIL) (-287 596042 597961 599509 "EF" 605119 NIL EF (NIL T T) -7 NIL NIL NIL) (-286 595020 595527 595676 "EAB" 595913 T EAB (NIL) -8 NIL NIL NIL) (-285 594142 594979 595007 "E04UCFA" 595012 T E04UCFA (NIL) -8 NIL NIL NIL) (-284 593264 594101 594129 "E04NAFA" 594134 T E04NAFA (NIL) -8 NIL NIL NIL) (-283 592386 593223 593251 "E04MBFA" 593256 T E04MBFA (NIL) -8 NIL NIL NIL) (-282 591508 592345 592373 "E04JAFA" 592378 T E04JAFA (NIL) -8 NIL NIL NIL) (-281 590632 591467 591495 "E04GCFA" 591500 T E04GCFA (NIL) -8 NIL NIL NIL) (-280 589756 590591 590619 "E04FDFA" 590624 T E04FDFA (NIL) -8 NIL NIL NIL) (-279 588878 589715 589743 "E04DGFA" 589748 T E04DGFA (NIL) -8 NIL NIL NIL) (-278 582955 584403 585767 "E04AGNT" 587534 T E04AGNT (NIL) -7 NIL NIL NIL) (-277 581575 582256 582296 "DVARCAT" 582637 NIL DVARCAT (NIL T) -9 NIL 582800 NIL) (-276 580725 580991 581305 "DVARCAT-" 581310 NIL DVARCAT- (NIL T T) -8 NIL NIL NIL) (-275 572693 580524 580653 "DSMP" 580658 NIL DSMP (NIL T T T) -8 NIL NIL NIL) (-274 571044 571835 571876 "DSEXT" 572239 NIL DSEXT (NIL T) -9 NIL 572533 NIL) (-273 569233 569757 570423 "DSEXT-" 570428 NIL DSEXT- (NIL T T) -8 NIL NIL NIL) (-272 568892 568957 569055 "DROPT1" 569168 NIL DROPT1 (NIL T) -7 NIL NIL NIL) (-271 563911 565133 566270 "DROPT0" 567775 T DROPT0 (NIL) -7 NIL NIL NIL) (-270 558494 559856 560924 "DROPT" 562863 T DROPT (NIL) -8 NIL NIL NIL) (-269 556803 557164 557550 "DRAWPT" 558128 T DRAWPT (NIL) -7 NIL NIL NIL) (-268 556430 556489 556607 "DRAWHACK" 556744 NIL DRAWHACK (NIL T) -7 NIL NIL NIL) (-267 555131 555430 555721 "DRAWCX" 556159 T DRAWCX (NIL) -7 NIL NIL NIL) (-266 554640 554715 554866 "DRAWCURV" 555057 NIL DRAWCURV (NIL T T) -7 NIL NIL NIL) (-265 544958 547070 549185 "DRAWCFUN" 552545 T DRAWCFUN (NIL) -7 NIL NIL NIL) (-264 539449 540468 541547 "DRAW" 543932 NIL DRAW (NIL T) -7 NIL NIL NIL) (-263 535920 538114 538155 "DQAGG" 538784 NIL DQAGG (NIL T) -9 NIL 539058 NIL) (-262 522503 530131 530214 "DPOLCAT" 532066 NIL DPOLCAT (NIL T T T T) -9 NIL 532611 NIL) (-261 517022 518688 520646 "DPOLCAT-" 520651 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL NIL) (-260 509830 516883 516981 "DPMO" 516986 NIL DPMO (NIL NIL T T) -8 NIL NIL NIL) (-259 502535 509610 509777 "DPMM" 509782 NIL DPMM (NIL NIL T T T) -8 NIL NIL NIL) (-258 502057 502319 502408 "DOMTMPLT" 502466 T DOMTMPLT (NIL) -8 NIL NIL NIL) (-257 501406 501859 501939 "DOMCTOR" 501997 T DOMCTOR (NIL) -8 NIL NIL NIL) (-256 500558 500886 501037 "DOMAIN" 501275 T DOMAIN (NIL) -8 NIL NIL NIL) (-255 493577 500193 500345 "DMP" 500459 NIL DMP (NIL NIL T) -8 NIL NIL NIL) (-254 491354 492644 492685 "DMEXT" 492690 NIL DMEXT (NIL T) -9 NIL 492866 NIL) (-253 490948 491010 491154 "DLP" 491292 NIL DLP (NIL T) -7 NIL NIL NIL) (-252 484071 490275 490465 "DLIST" 490790 NIL DLIST (NIL T) -8 NIL NIL NIL) (-251 480609 482896 482937 "DLAGG" 483487 NIL DLAGG (NIL T) -9 NIL 483717 NIL) (-250 479121 479935 479963 "DIVRING" 480055 T DIVRING (NIL) -9 NIL 480138 NIL) (-249 478304 478548 478848 "DIVRING-" 478853 NIL DIVRING- (NIL T) -8 NIL NIL NIL) (-248 476346 476763 477169 "DISPLAY" 477918 T DISPLAY (NIL) -7 NIL NIL NIL) (-247 475176 475397 475662 "DIRPROD2" 476139 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL NIL) (-246 468534 475090 475153 "DIRPROD" 475158 NIL DIRPROD (NIL NIL T) -8 NIL NIL NIL) (-245 456697 463245 463298 "DIRPCAT" 463556 NIL DIRPCAT (NIL NIL T) -9 NIL 464431 NIL) (-244 453897 454665 455546 "DIRPCAT-" 455883 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL NIL) (-243 453178 453344 453530 "DIOSP" 453731 T DIOSP (NIL) -7 NIL NIL NIL) (-242 449592 452062 452103 "DIOPS" 452537 NIL DIOPS (NIL T) -9 NIL 452766 NIL) (-241 449111 449255 449446 "DIOPS-" 449451 NIL DIOPS- (NIL T T) -8 NIL NIL NIL) (-240 448018 448790 448818 "DIFRING" 448823 T DIFRING (NIL) -9 NIL 448845 NIL) (-239 447666 447764 447792 "DIFFSPC" 447911 T DIFFSPC (NIL) -9 NIL 447986 NIL) (-238 447287 447389 447541 "DIFFSPC-" 447546 NIL DIFFSPC- (NIL T) -8 NIL NIL NIL) (-237 446223 446821 446862 "DIFFMOD" 446867 NIL DIFFMOD (NIL T) -9 NIL 446965 NIL) (-236 445919 445976 446017 "DIFFDOM" 446138 NIL DIFFDOM (NIL T) -9 NIL 446206 NIL) (-235 445766 445796 445880 "DIFFDOM-" 445885 NIL DIFFDOM- (NIL T T) -8 NIL NIL NIL) (-234 443506 444970 445011 "DIFEXT" 445016 NIL DIFEXT (NIL T) -9 NIL 445169 NIL) (-233 440540 443010 443051 "DIAGG" 443056 NIL DIAGG (NIL T) -9 NIL 443076 NIL) (-232 439888 440081 440333 "DIAGG-" 440338 NIL DIAGG- (NIL T T) -8 NIL NIL NIL) (-231 434738 438847 439124 "DHMATRIX" 439657 NIL DHMATRIX (NIL T) -8 NIL NIL NIL) (-230 430206 431259 432269 "DFSFUN" 433748 T DFSFUN (NIL) -7 NIL NIL NIL) (-229 424447 429137 429449 "DFLOAT" 429914 T DFLOAT (NIL) -8 NIL NIL NIL) (-228 422686 422991 423380 "DFINTTLS" 424155 NIL DFINTTLS (NIL T T) -7 NIL NIL NIL) (-227 419505 420707 421107 "DERHAM" 422352 NIL DERHAM (NIL T NIL) -8 NIL NIL NIL) (-226 417041 419280 419369 "DEQUEUE" 419449 NIL DEQUEUE (NIL T) -8 NIL NIL NIL) (-225 416283 416428 416611 "DEGRED" 416903 NIL DEGRED (NIL T T) -7 NIL NIL NIL) (-224 412689 413458 414304 "DEFINTRF" 415511 NIL DEFINTRF (NIL T) -7 NIL NIL NIL) (-223 410226 410713 411305 "DEFINTEF" 412208 NIL DEFINTEF (NIL T T) -7 NIL NIL NIL) (-222 409510 409846 409961 "DEFAST" 410131 T DEFAST (NIL) -8 NIL NIL NIL) (-221 402567 409103 409253 "DECIMAL" 409380 T DECIMAL (NIL) -8 NIL NIL NIL) (-220 400025 400537 401043 "DDFACT" 402111 NIL DDFACT (NIL T T) -7 NIL NIL NIL) (-219 399615 399664 399815 "DBLRESP" 399976 NIL DBLRESP (NIL T T T T) -7 NIL NIL NIL) (-218 398816 399385 399476 "DBASIS" 399564 NIL DBASIS (NIL NIL) -8 NIL NIL NIL) (-217 396600 397046 397407 "DBASE" 398582 NIL DBASE (NIL T) -8 NIL NIL NIL) (-216 395788 396080 396226 "DATAARY" 396499 NIL DATAARY (NIL NIL T) -8 NIL NIL NIL) (-215 394846 395747 395775 "D03FAFA" 395780 T D03FAFA (NIL) -8 NIL NIL NIL) (-214 393905 394805 394833 "D03EEFA" 394838 T D03EEFA (NIL) -8 NIL NIL NIL) (-213 391831 392321 392810 "D03AGNT" 393436 T D03AGNT (NIL) -7 NIL NIL NIL) (-212 391072 391790 391818 "D02EJFA" 391823 T D02EJFA (NIL) -8 NIL NIL NIL) (-211 390313 391031 391059 "D02CJFA" 391064 T D02CJFA (NIL) -8 NIL NIL NIL) (-210 389554 390272 390300 "D02BHFA" 390305 T D02BHFA (NIL) -8 NIL NIL NIL) (-209 388795 389513 389541 "D02BBFA" 389546 T D02BBFA (NIL) -8 NIL NIL NIL) (-208 381926 383581 385187 "D02AGNT" 387209 T D02AGNT (NIL) -7 NIL NIL NIL) (-207 379676 380217 380763 "D01WGTS" 381400 T D01WGTS (NIL) -7 NIL NIL NIL) (-206 378683 379635 379663 "D01TRNS" 379668 T D01TRNS (NIL) -8 NIL NIL NIL) (-205 377691 378642 378670 "D01GBFA" 378675 T D01GBFA (NIL) -8 NIL NIL NIL) (-204 376699 377650 377678 "D01FCFA" 377683 T D01FCFA (NIL) -8 NIL NIL NIL) (-203 375707 376658 376686 "D01ASFA" 376691 T D01ASFA (NIL) -8 NIL NIL NIL) (-202 374715 375666 375694 "D01AQFA" 375699 T D01AQFA (NIL) -8 NIL NIL NIL) (-201 373723 374674 374702 "D01APFA" 374707 T D01APFA (NIL) -8 NIL NIL NIL) (-200 372731 373682 373710 "D01ANFA" 373715 T D01ANFA (NIL) -8 NIL NIL NIL) (-199 371739 372690 372718 "D01AMFA" 372723 T D01AMFA (NIL) -8 NIL NIL NIL) (-198 370747 371698 371726 "D01ALFA" 371731 T D01ALFA (NIL) -8 NIL NIL NIL) (-197 369755 370706 370734 "D01AKFA" 370739 T D01AKFA (NIL) -8 NIL NIL NIL) (-196 368763 369714 369742 "D01AJFA" 369747 T D01AJFA (NIL) -8 NIL NIL NIL) (-195 361986 363611 365172 "D01AGNT" 367222 T D01AGNT (NIL) -7 NIL NIL NIL) (-194 361305 361451 361603 "CYCLOTOM" 361854 T CYCLOTOM (NIL) -7 NIL NIL NIL) (-193 357960 358753 359480 "CYCLES" 360598 T CYCLES (NIL) -7 NIL NIL NIL) (-192 357260 357406 357577 "CVMP" 357821 NIL CVMP (NIL T) -7 NIL NIL NIL) (-191 355047 355359 355728 "CTRIGMNP" 356988 NIL CTRIGMNP (NIL T T) -7 NIL NIL NIL) (-190 354520 354778 354879 "CTORKIND" 354966 T CTORKIND (NIL) -8 NIL NIL NIL) (-189 353725 354113 354141 "CTORCAT" 354323 T CTORCAT (NIL) -9 NIL 354436 NIL) (-188 353299 353434 353593 "CTORCAT-" 353598 NIL CTORCAT- (NIL T) -8 NIL NIL NIL) (-187 352713 352973 353081 "CTORCALL" 353223 NIL CTORCALL (NIL T) -8 NIL NIL NIL) (-186 352071 352507 352580 "CTOR" 352660 T CTOR (NIL) -8 NIL NIL NIL) (-185 351427 351544 351697 "CSTTOOLS" 351968 NIL CSTTOOLS (NIL T T) -7 NIL NIL NIL) (-184 347124 347883 348641 "CRFP" 350739 NIL CRFP (NIL T T) -7 NIL NIL NIL) (-183 346539 346845 346937 "CRCEAST" 347052 T CRCEAST (NIL) -8 NIL NIL NIL) (-182 345562 345771 345999 "CRAPACK" 346343 NIL CRAPACK (NIL T) -7 NIL NIL NIL) (-181 344942 345047 345251 "CPMATCH" 345438 NIL CPMATCH (NIL T T T) -7 NIL NIL NIL) (-180 344661 344695 344801 "CPIMA" 344908 NIL CPIMA (NIL T T T) -7 NIL NIL NIL) (-179 340919 341681 342400 "COORDSYS" 343996 NIL COORDSYS (NIL T) -7 NIL NIL NIL) (-178 340307 340452 340594 "CONTOUR" 340797 T CONTOUR (NIL) -8 NIL NIL NIL) (-177 335778 338310 338802 "CONTFRAC" 339847 NIL CONTFRAC (NIL T) -8 NIL NIL NIL) (-176 335652 335679 335707 "CONDUIT" 335744 T CONDUIT (NIL) -9 NIL NIL NIL) (-175 334606 335280 335308 "COMRING" 335313 T COMRING (NIL) -9 NIL 335365 NIL) (-174 333588 333964 334148 "COMPPROP" 334442 T COMPPROP (NIL) -8 NIL NIL NIL) (-173 333243 333284 333412 "COMPLPAT" 333547 NIL COMPLPAT (NIL T T T) -7 NIL NIL NIL) (-172 332873 332936 333043 "COMPLEX2" 333180 NIL COMPLEX2 (NIL T T) -7 NIL NIL NIL) (-171 321277 332682 332791 "COMPLEX" 332796 NIL COMPLEX (NIL T) -8 NIL NIL NIL) (-170 320598 320737 320897 "COMPILER" 321137 T COMPILER (NIL) -8 NIL NIL NIL) (-169 320310 320351 320449 "COMPFACT" 320557 NIL COMPFACT (NIL T T) -7 NIL NIL NIL) (-168 301704 314014 314054 "COMPCAT" 315058 NIL COMPCAT (NIL T) -9 NIL 316406 NIL) (-167 290592 294143 297770 "COMPCAT-" 298126 NIL COMPCAT- (NIL T T) -8 NIL NIL NIL) (-166 290315 290349 290452 "COMMUPC" 290558 NIL COMMUPC (NIL T T T) -7 NIL NIL NIL) (-165 290103 290143 290202 "COMMONOP" 290276 T COMMONOP (NIL) -7 NIL NIL NIL) (-164 289625 289907 289982 "COMMAAST" 290048 T COMMAAST (NIL) -8 NIL NIL NIL) (-163 289132 289376 289463 "COMM" 289558 T COMM (NIL) -8 NIL NIL NIL) (-162 288327 288575 288603 "COMBOPC" 288941 T COMBOPC (NIL) -9 NIL 289116 NIL) (-161 287181 287433 287675 "COMBINAT" 288117 NIL COMBINAT (NIL T) -7 NIL NIL NIL) (-160 283524 284212 284839 "COMBF" 286603 NIL COMBF (NIL T T) -7 NIL NIL NIL) (-159 282186 282640 282875 "COLOR" 283309 T COLOR (NIL) -8 NIL NIL NIL) (-158 281602 281907 281999 "COLONAST" 282114 T COLONAST (NIL) -8 NIL NIL NIL) (-157 281236 281289 281414 "CMPLXRT" 281549 NIL CMPLXRT (NIL T T) -7 NIL NIL NIL) (-156 280624 280936 281035 "CLLCTAST" 281157 T CLLCTAST (NIL) -8 NIL NIL NIL) (-155 276083 277154 278234 "CLIP" 279564 T CLIP (NIL) -7 NIL NIL NIL) (-154 274256 275184 275424 "CLIF" 275910 NIL CLIF (NIL NIL T NIL) -8 NIL NIL NIL) (-153 270238 272374 272415 "CLAGG" 273344 NIL CLAGG (NIL T) -9 NIL 273880 NIL) (-152 268582 269117 269700 "CLAGG-" 269705 NIL CLAGG- (NIL T T) -8 NIL NIL NIL) (-151 268120 268211 268351 "CINTSLPE" 268491 NIL CINTSLPE (NIL T T) -7 NIL NIL NIL) (-150 265585 266092 266640 "CHVAR" 267648 NIL CHVAR (NIL T T T) -7 NIL NIL NIL) (-149 264625 265299 265327 "CHARZ" 265332 T CHARZ (NIL) -9 NIL 265347 NIL) (-148 264373 264419 264497 "CHARPOL" 264579 NIL CHARPOL (NIL T) -7 NIL NIL NIL) (-147 263291 263997 264025 "CHARNZ" 264086 T CHARNZ (NIL) -9 NIL 264135 NIL) (-146 260235 261345 261874 "CHAR" 262782 T CHAR (NIL) -8 NIL NIL NIL) (-145 259943 260022 260050 "CFCAT" 260161 T CFCAT (NIL) -9 NIL NIL NIL) (-144 259166 259295 259478 "CDEN" 259827 NIL CDEN (NIL T T T) -7 NIL NIL NIL) (-143 254763 258319 258599 "CCLASS" 258906 T CCLASS (NIL) -8 NIL NIL NIL) (-142 253984 254171 254348 "CATEGORY" 254606 T -10 (NIL) -8 NIL NIL NIL) (-141 253479 253903 253951 "CATCTOR" 253956 T CATCTOR (NIL) -8 NIL NIL NIL) (-140 252870 253182 253280 "CATAST" 253401 T CATAST (NIL) -8 NIL NIL NIL) (-139 252286 252591 252683 "CASEAST" 252798 T CASEAST (NIL) -8 NIL NIL NIL) (-138 251382 251542 251763 "CARTEN2" 252133 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL NIL) (-137 246279 247539 248283 "CARTEN" 250694 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL NIL) (-136 244409 245429 245686 "CARD" 246042 T CARD (NIL) -8 NIL NIL NIL) (-135 243931 244213 244288 "CAPSLAST" 244354 T CAPSLAST (NIL) -8 NIL NIL NIL) (-134 243373 243629 243657 "CACHSET" 243789 T CACHSET (NIL) -9 NIL 243867 NIL) (-133 242763 243151 243179 "CABMON" 243229 T CABMON (NIL) -9 NIL 243285 NIL) (-132 242200 242467 242577 "BYTEORD" 242673 T BYTEORD (NIL) -8 NIL NIL NIL) (-131 237127 241705 241877 "BYTEBUF" 242048 T BYTEBUF (NIL) -8 NIL NIL NIL) (-130 235958 236670 236805 "BYTE" 236968 T BYTE (NIL) -8 NIL NIL 237083) (-129 233220 235650 235757 "BTREE" 235884 NIL BTREE (NIL T) -8 NIL NIL NIL) (-128 230422 232868 232990 "BTOURN" 233130 NIL BTOURN (NIL T) -8 NIL NIL NIL) (-127 227529 229864 229905 "BTCAT" 229973 NIL BTCAT (NIL T) -9 NIL 230050 NIL) (-126 227178 227276 227425 "BTCAT-" 227430 NIL BTCAT- (NIL T T) -8 NIL NIL NIL) (-125 222067 226424 226452 "BTAGG" 226566 T BTAGG (NIL) -9 NIL 226676 NIL) (-124 221521 221682 221888 "BTAGG-" 221893 NIL BTAGG- (NIL T) -8 NIL NIL NIL) (-123 218257 220799 221014 "BSTREE" 221338 NIL BSTREE (NIL T) -8 NIL NIL NIL) (-122 217365 217521 217705 "BRILL" 218113 NIL BRILL (NIL T) -7 NIL NIL NIL) (-121 213760 216063 216104 "BRAGG" 216753 NIL BRAGG (NIL T) -9 NIL 217011 NIL) (-120 212193 212695 213250 "BRAGG-" 213255 NIL BRAGG- (NIL T T) -8 NIL NIL NIL) (-119 204450 211537 211722 "BPADICRT" 212040 NIL BPADICRT (NIL NIL) -8 NIL NIL NIL) (-118 202466 204387 204432 "BPADIC" 204437 NIL BPADIC (NIL NIL) -8 NIL NIL NIL) (-117 202158 202194 202308 "BOUNDZRO" 202430 NIL BOUNDZRO (NIL T T) -7 NIL NIL NIL) (-116 199885 200343 200818 "BOP1" 201716 NIL BOP1 (NIL T) -7 NIL NIL NIL) (-115 194915 196345 197243 "BOP" 199007 T BOP (NIL) -8 NIL NIL NIL) (-114 193580 194503 194645 "BOOLEAN" 194793 T BOOLEAN (NIL) -8 NIL NIL NIL) (-113 193173 193330 193358 "BOOLE" 193469 T BOOLE (NIL) -9 NIL 193550 NIL) (-112 193041 193068 193134 "BOOLE-" 193139 NIL BOOLE- (NIL T) -8 NIL NIL NIL) (-111 192210 192710 192764 "BMODULE" 192769 NIL BMODULE (NIL T T) -9 NIL 192834 NIL) (-110 187531 192008 192081 "BITS" 192157 T BITS (NIL) -8 NIL NIL NIL) (-109 186928 187071 187211 "BINDING" 187411 T BINDING (NIL) -8 NIL NIL NIL) (-108 179988 186523 186672 "BINARY" 186799 T BINARY (NIL) -8 NIL NIL NIL) (-107 177595 179215 179256 "BGAGG" 179516 NIL BGAGG (NIL T) -9 NIL 179653 NIL) (-106 177420 177458 177549 "BGAGG-" 177554 NIL BGAGG- (NIL T T) -8 NIL NIL NIL) (-105 176443 176804 177009 "BFUNCT" 177235 T BFUNCT (NIL) -8 NIL NIL NIL) (-104 175113 175311 175599 "BEZOUT" 176267 NIL BEZOUT (NIL T T T T T) -7 NIL NIL NIL) (-103 171311 173965 174295 "BBTREE" 174816 NIL BBTREE (NIL T) -8 NIL NIL NIL) (-102 170894 170990 171018 "BASTYPE" 171195 T BASTYPE (NIL) -9 NIL 171294 NIL) (-101 170552 170651 170786 "BASTYPE-" 170791 NIL BASTYPE- (NIL T) -8 NIL NIL NIL) (-100 169974 170062 170214 "BALFACT" 170463 NIL BALFACT (NIL T T) -7 NIL NIL NIL) (-99 168710 169389 169575 "AUTOMOR" 169819 NIL AUTOMOR (NIL T) -8 NIL NIL NIL) (-98 168436 168441 168467 "ATTREG" 168472 T ATTREG (NIL) -9 NIL NIL NIL) (-97 166598 167133 167485 "ATTRBUT" 168102 T ATTRBUT (NIL) -8 NIL NIL NIL) (-96 166152 166426 166492 "ATTRAST" 166550 T ATTRAST (NIL) -8 NIL NIL NIL) (-95 165652 165801 165827 "ATRIG" 166028 T ATRIG (NIL) -9 NIL NIL NIL) (-94 165449 165502 165589 "ATRIG-" 165594 NIL ATRIG- (NIL T) -8 NIL NIL NIL) (-93 165032 165266 165292 "ASTCAT" 165297 T ASTCAT (NIL) -9 NIL 165327 NIL) (-92 164741 164818 164937 "ASTCAT-" 164942 NIL ASTCAT- (NIL T) -8 NIL NIL NIL) (-91 162715 164517 164605 "ASTACK" 164684 NIL ASTACK (NIL T) -8 NIL NIL NIL) (-90 161204 161517 161882 "ASSOCEQ" 162397 NIL ASSOCEQ (NIL T T) -7 NIL NIL NIL) (-89 160128 160863 160987 "ASP9" 161111 NIL ASP9 (NIL NIL) -8 NIL NIL NIL) (-88 158888 159733 159875 "ASP80" 160017 NIL ASP80 (NIL NIL) -8 NIL NIL NIL) (-87 158615 158836 158875 "ASP8" 158880 NIL ASP8 (NIL NIL) -8 NIL NIL NIL) (-86 157461 158292 158410 "ASP78" 158528 NIL ASP78 (NIL NIL) -8 NIL NIL NIL) (-85 156322 157141 157258 "ASP77" 157375 NIL ASP77 (NIL NIL) -8 NIL NIL NIL) (-84 155126 155960 156091 "ASP74" 156222 NIL ASP74 (NIL NIL) -8 NIL NIL NIL) (-83 153918 154761 154893 "ASP73" 155025 NIL ASP73 (NIL NIL) -8 NIL NIL NIL) (-82 152708 153553 153685 "ASP7" 153817 NIL ASP7 (NIL NIL) -8 NIL NIL NIL) (-81 151704 152534 152634 "ASP6" 152639 NIL ASP6 (NIL NIL) -8 NIL NIL NIL) (-80 150543 151381 151499 "ASP55" 151617 NIL ASP55 (NIL NIL) -8 NIL NIL NIL) (-79 149384 150217 150336 "ASP50" 150455 NIL ASP50 (NIL NIL) -8 NIL NIL NIL) (-78 148364 149085 149195 "ASP49" 149305 NIL ASP49 (NIL NIL) -8 NIL NIL NIL) (-77 147040 147903 148071 "ASP42" 148253 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-76 145709 146573 146743 "ASP41" 146927 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL NIL) (-75 144689 145410 145520 "ASP4" 145630 NIL ASP4 (NIL NIL) -8 NIL NIL NIL) (-74 143531 144366 144484 "ASP35" 144602 NIL ASP35 (NIL NIL) -8 NIL NIL NIL) (-73 143260 143479 143518 "ASP34" 143523 NIL ASP34 (NIL NIL) -8 NIL NIL NIL) (-72 142979 143064 143140 "ASP33" 143215 NIL ASP33 (NIL NIL) -8 NIL NIL NIL) (-71 141765 142614 142746 "ASP31" 142878 NIL ASP31 (NIL NIL) -8 NIL NIL NIL) (-70 141494 141713 141752 "ASP30" 141757 NIL ASP30 (NIL NIL) -8 NIL NIL NIL) (-69 141211 141298 141374 "ASP29" 141449 NIL ASP29 (NIL NIL) -8 NIL NIL NIL) (-68 140940 141159 141198 "ASP28" 141203 NIL ASP28 (NIL NIL) -8 NIL NIL NIL) (-67 140669 140888 140927 "ASP27" 140932 NIL ASP27 (NIL NIL) -8 NIL NIL NIL) (-66 139645 140367 140478 "ASP24" 140589 NIL ASP24 (NIL NIL) -8 NIL NIL NIL) (-65 138614 139447 139559 "ASP20" 139564 NIL ASP20 (NIL NIL) -8 NIL NIL NIL) (-64 137449 138288 138407 "ASP19" 138526 NIL ASP19 (NIL NIL) -8 NIL NIL NIL) (-63 137168 137253 137329 "ASP12" 137404 NIL ASP12 (NIL NIL) -8 NIL NIL NIL) (-62 135912 136767 136911 "ASP10" 137055 NIL ASP10 (NIL NIL) -8 NIL NIL NIL) (-61 134892 135613 135723 "ASP1" 135833 NIL ASP1 (NIL NIL) -8 NIL NIL NIL) (-60 132504 134736 134827 "ARRAY2" 134832 NIL ARRAY2 (NIL T) -8 NIL NIL NIL) (-59 131518 131709 131930 "ARRAY12" 132327 NIL ARRAY12 (NIL T T) -7 NIL NIL NIL) (-58 126878 131166 131280 "ARRAY1" 131435 NIL ARRAY1 (NIL T) -8 NIL NIL NIL) (-57 120923 123080 123155 "ARR2CAT" 125785 NIL ARR2CAT (NIL T T T) -9 NIL 126543 NIL) (-56 118213 119101 120055 "ARR2CAT-" 120060 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL NIL) (-55 117464 117840 117965 "ARITY" 118106 T ARITY (NIL) -8 NIL NIL NIL) (-54 116222 116392 116691 "APPRULE" 117300 NIL APPRULE (NIL T T T) -7 NIL NIL NIL) (-53 115867 115921 116040 "APPLYORE" 116168 NIL APPLYORE (NIL T T T) -7 NIL NIL NIL) (-52 115121 115268 115425 "ANY1" 115741 NIL ANY1 (NIL T) -7 NIL NIL NIL) (-51 114421 114714 114834 "ANY" 115019 T ANY (NIL) -8 NIL NIL NIL) (-50 111747 112858 113185 "ANTISYM" 114145 NIL ANTISYM (NIL T NIL) -8 NIL NIL NIL) (-49 111191 111454 111550 "ANON" 111669 T ANON (NIL) -8 NIL NIL NIL) (-48 104354 109730 110184 "AN" 110755 T AN (NIL) -8 NIL NIL NIL) (-47 100017 101626 101677 "AMR" 102425 NIL AMR (NIL T T) -9 NIL 103025 NIL) (-46 99069 99350 99713 "AMR-" 99718 NIL AMR- (NIL T T T) -8 NIL NIL NIL) (-45 82538 98986 99047 "ALIST" 99052 NIL ALIST (NIL T T) -8 NIL NIL NIL) (-44 78835 82132 82301 "ALGSC" 82456 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL NIL) (-43 75285 75945 76552 "ALGPKG" 78275 NIL ALGPKG (NIL T T) -7 NIL NIL NIL) (-42 74550 74663 74847 "ALGMFACT" 75171 NIL ALGMFACT (NIL T T T) -7 NIL NIL NIL) (-41 70533 71164 71758 "ALGMANIP" 74134 NIL ALGMANIP (NIL T T) -7 NIL NIL NIL) (-40 59893 70159 70309 "ALGFF" 70466 NIL ALGFF (NIL T T T NIL) -8 NIL NIL NIL) (-39 59065 59220 59399 "ALGFACT" 59751 NIL ALGFACT (NIL T) -7 NIL NIL NIL) (-38 57854 58592 58630 "ALGEBRA" 58635 NIL ALGEBRA (NIL T) -9 NIL 58676 NIL) (-37 57554 57631 57763 "ALGEBRA-" 57768 NIL ALGEBRA- (NIL T T) -8 NIL NIL NIL) (-36 38508 55391 55443 "ALAGG" 55579 NIL ALAGG (NIL T T) -9 NIL 55740 NIL) (-35 38008 38157 38183 "AHYP" 38384 T AHYP (NIL) -9 NIL NIL NIL) (-34 36893 37187 37213 "AGG" 37712 T AGG (NIL) -9 NIL 37991 NIL) (-33 36291 36489 36703 "AGG-" 36708 NIL AGG- (NIL T) -8 NIL NIL NIL) (-32 34051 34520 34925 "AF" 35933 NIL AF (NIL T T) -7 NIL NIL NIL) (-31 33471 33776 33866 "ADDAST" 33979 T ADDAST (NIL) -8 NIL NIL NIL) (-30 32703 32998 33154 "ACPLOT" 33333 T ACPLOT (NIL) -8 NIL NIL NIL) (-29 20267 29635 29673 "ACFS" 30280 NIL ACFS (NIL T) -9 NIL 30519 NIL) (-28 18174 18784 19546 "ACFS-" 19551 NIL ACFS- (NIL T T) -8 NIL NIL NIL) (-27 13882 16207 16233 "ACF" 17112 T ACF (NIL) -9 NIL 17525 NIL) (-26 12514 12920 13413 "ACF-" 13418 NIL ACF- (NIL T) -8 NIL NIL NIL) (-25 12024 12267 12293 "ABELSG" 12385 T ABELSG (NIL) -9 NIL 12450 NIL) (-24 11885 11916 11982 "ABELSG-" 11987 NIL ABELSG- (NIL T) -8 NIL NIL NIL) (-23 11154 11501 11527 "ABELMON" 11697 T ABELMON (NIL) -9 NIL 11809 NIL) (-22 10794 10902 11040 "ABELMON-" 11045 NIL ABELMON- (NIL T) -8 NIL NIL NIL) (-21 10044 10500 10526 "ABELGRP" 10598 T ABELGRP (NIL) -9 NIL 10673 NIL) (-20 9471 9636 9852 "ABELGRP-" 9857 NIL ABELGRP- (NIL T) -8 NIL NIL NIL) (-19 4579 8733 8772 "A1AGG" 8777 NIL A1AGG (NIL T) -9 NIL 8817 NIL) (-18 30 1497 3059 "A1AGG-" 3064 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 011cf95e..59b078d6 100644 --- a/src/share/algebra/operation.daase +++ b/src/share/algebra/operation.daase @@ -1,30 +1,24 @@ -(733388 . 3509634649) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-711 (-421 (-560)))) - (-5 *2 - (-663 - (-2 (|:| |outval| *4) (|:| |outmult| (-560)) - (|:| |outvect| (-663 (-711 *4)))))) - (-5 *1 (-801 *4)) (-4 *4 (-13 (-376) (-871)))))) -(((*1 *2 *1 *3) (-12 (-4 *1 (-310)) (-5 *3 (-1209)) (-5 *2 (-114)))) - ((*1 *2 *1 *3) (-12 (-4 *1 (-310)) (-5 *3 (-115)) (-5 *2 (-114)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-1209)) (-5 *2 (-114)) (-5 *1 (-630 *4)) - (-4 *4 (-1133)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-115)) (-5 *2 (-114)) (-5 *1 (-630 *4)) (-4 *4 (-1133)))) - ((*1 *2 *1 *3) (-12 (-4 *1 (-860 *3)) (-4 *3 (-1133)) (-5 *2 (-114)))) - ((*1 *2 *3 *4) - (-12 (-4 *5 (-1133)) (-5 *2 (-114)) (-5 *1 (-913 *5 *3 *4)) - (-4 *3 (-912 *5)) (-4 *4 (-633 (-916 *5))))) - ((*1 *2 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(-419 (-1203 *5))) + (-5 *1 (-938 *4 *5)) (-5 *3 (-1203 *5))))) +(((*1 *2) + (-12 (-5 *2 (-114)) (-5 *1 (-1227 *3 *4)) (-4 *3 (-1133)) + (-4 *4 (-1133))))) (((*1 *2) (-12 (-14 *4 *2) (-4 *5 (-1249)) (-5 *2 (-793)) (-5 *1 (-244 *3 *4 *5)) (-4 *3 (-245 *4 *5)))) @@ -50,170 +44,182 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-871) (-376))) (-5 *1 (-1093 *2 *3)) (-4 *3 (-1275 *2))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1299 (-1299 *4))) (-4 *4 (-1081)) (-5 *2 (-711 *4)) - (-5 *1 (-1062 *4))))) -(((*1 *2 *1 *1) - (-12 - (-5 *2 - (-2 (|:| |polnum| (-803 *3)) (|:| |polden| *3) (|:| -2718 (-793)))) - (-5 *1 (-803 *3)) (-4 *3 (-1081)))) - ((*1 *2 *1 *1) - (-12 (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) - (-5 *2 (-2 (|:| |polnum| *1) (|:| |polden| *1) (|:| -2718 (-793)))) - (-4 *1 (-1097 *3 *4 *5))))) +(((*1 *2 *2 *2) + (|partial| -12 (-4 *3 (-376)) (-5 *1 (-788 *2 *3)) (-4 *2 (-730 *3)))) + ((*1 *1 *1 *1) + (|partial| -12 (-4 *1 (-877 *2)) (-4 *2 (-1081)) (-4 *2 (-376))))) +(((*1 *1 *1) + (-12 (-5 *1 (-1197 *2 *3)) (-14 *2 (-949)) (-4 *3 (-1081))))) (((*1 *2 *2 *3) - (|partial| -12 (-5 *2 (-663 (-1203 *7))) (-5 *3 (-1203 *7)) - (-4 *7 (-980 *4 *5 *6)) (-4 *4 (-940)) (-4 *5 (-817)) - (-4 *6 (-872)) (-5 *1 (-937 *4 *5 *6 *7)))) - ((*1 *2 *2 *3) - (|partial| -12 (-5 *2 (-663 (-1203 *5))) (-5 *3 (-1203 *5)) - (-4 *5 (-1275 *4)) (-4 *4 (-940)) (-5 *1 (-938 *4 *5))))) -(((*1 *2 *1) (-12 (-4 *1 (-380 *2)) (-4 *2 (-175))))) -(((*1 *2 *1) (-12 (-5 *2 (-611)) (-5 *1 (-292))))) -(((*1 *2 *3 *2) - (-12 (-5 *3 (-1203 *2)) (-4 *2 (-435 *4)) (-4 *4 (-571)) - (-5 *1 (-32 *4 *2))))) -(((*1 *2 *3 *4 *4 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067)) - (-5 *1 (-774))))) -(((*1 *1 *1 *2 *3) - (-12 (-5 *2 (-663 (-793))) (-5 *3 (-114)) (-5 *1 (-1197 *4 *5)) - (-14 *4 (-949)) (-4 *5 (-1081))))) -(((*1 *2 *1) (-12 (-4 *1 (-541)) (-5 *2 (-713 (-561)))))) -(((*1 *2 *1) - (|partial| -12 (-5 *2 (-1093 (-1056 *3) 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(-4 *1 (-341 *3)) (-4 *3 (-376)) (-4 *3 (-381)))) ((*1 *2 *1) (-12 (-4 *1 (-341 *2)) (-4 *2 (-376)))) @@ -3290,39 +2958,23 @@ ((*1 *2 *1) (-12 (-4 *1 (-1155 *3 *2 *4 *5)) (-4 *4 (-245 *3 *2)) (-4 *5 (-245 *3 *2)) (-4 *2 (-1081))))) -(((*1 *2 *3 *4 *4 *5 *4 *3 *6 *3 *4 *7 *8 *9 *10) - (-12 (-5 *4 (-560)) (-5 *5 (-1191)) (-5 *6 (-711 (-229))) - (-5 *7 (-3 (|:| |fn| (-402)) (|:| |fp| (-89 G)))) - (-5 *8 (-3 (|:| |fn| (-402)) (|:| |fp| (-82 FCN)))) - (-5 *9 (-3 (|:| |fn| (-402)) (|:| |fp| (-71 PEDERV)))) - (-5 *10 (-3 (|:| |fn| (-402)) (|:| |fp| (-87 OUTPUT)))) - (-5 *3 (-229)) (-5 *2 (-1067)) (-5 *1 (-771))))) -(((*1 *2 *3) - (-12 (-4 *4 (-363)) (-5 *2 (-988 (-1203 *4))) (-5 *1 (-369 *4)) - (-5 *3 (-1203 *4))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1155 *3 *4 *2 *5)) (-4 *4 (-1081)) (-4 *5 (-245 *3 *4)) + (-4 *2 (-245 *3 *4))))) +(((*1 *2) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-853))))) +(((*1 *2) + (-12 (-4 *3 (-466)) (-4 *4 (-817)) (-4 *5 (-872)) + (-4 *6 (-1097 *3 *4 *5)) (-5 *2 (-1305)) + (-5 *1 (-1104 *3 *4 *5 *6 *7)) (-4 *7 (-1103 *3 *4 *5 *6)))) + ((*1 *2) + (-12 (-4 *3 (-466)) (-4 *4 (-817)) (-4 *5 (-872)) + (-4 *6 (-1097 *3 *4 *5)) (-5 *2 (-1305)) + (-5 *1 (-1140 *3 *4 *5 *6 *7)) (-4 *7 (-1103 *3 *4 *5 *6))))) (((*1 *2 *3) - (-12 (-4 *4 (-571)) (-4 *5 (-1023 *4)) - (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-144 *4 *5 *3)) - (-4 *3 (-385 *5)))) - ((*1 *2 *3) - (-12 (-4 *4 (-571)) (-4 *5 (-1023 *4)) - (-5 *2 (-2 (|:| |num| *6) (|:| |den| *4))) - (-5 *1 (-517 *4 *5 *6 *3)) (-4 *6 (-385 *4)) (-4 *3 (-385 *5)))) - ((*1 *2 *3) - (-12 (-5 *3 (-711 *5)) (-4 *5 (-1023 *4)) (-4 *4 (-571)) - (-5 *2 (-2 (|:| |num| (-711 *4)) (|:| |den| *4))) - (-5 *1 (-715 *4 *5)))) - ((*1 *2 *3 *4) - (-12 (-4 *5 (-13 (-376) (-149) (-1070 (-421 (-560))))) - (-4 *6 (-1275 *5)) - (-5 *2 (-2 (|:| -3687 *7) (|:| |rh| (-663 (-421 *6))))) - (-5 *1 (-831 *5 *6 *7 *3)) (-5 *4 (-663 (-421 *6))) - (-4 *7 (-680 *6)) (-4 *3 (-680 (-421 *6))))) + (-12 (-5 *2 (-419 (-1203 *1))) (-5 *1 (-326 *4)) (-5 *3 (-1203 *1)) + (-4 *4 (-466)) (-4 *4 (-571)) (-4 *4 (-1133)))) ((*1 *2 *3) - (-12 (-4 *4 (-571)) (-4 *5 (-1023 *4)) - (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-1270 *4 *5 *3)) - (-4 *3 (-1275 *5))))) -(((*1 *2 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-781))))) + (-12 (-4 *1 (-940)) (-5 *2 (-419 (-1203 *1))) (-5 *3 (-1203 *1))))) (((*1 *2 *3) (|partial| -12 (-5 *3 (-51)) (-5 *1 (-52 *2)) (-4 *2 (-1249)))) ((*1 *1 *2) @@ -3398,7 +3050,7 @@ (-4 *1 (-1008 *3 *4 *5 *6)))) ((*1 *2 *1) (|partial| -12 (-4 *1 (-1070 *2)) (-4 *2 (-1249)))) ((*1 *1 *2) - (|partial| -2171 + (|partial| -2172 (-12 (-5 *2 (-976 *3)) (-12 (-2345 (-4 *3 (-38 (-421 (-560))))) (-2345 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1209)))) @@ -3415,7 +3067,7 @@ (-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817)) (-4 *5 (-872))))) ((*1 *1 *2) - (|partial| -2171 + (|partial| -2172 (-12 (-5 *2 (-976 (-560))) (-4 *1 (-1097 *3 *4 *5)) (-12 (-2345 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560))) (-4 *5 (-633 (-1209)))) @@ -3427,7 +3079,9 @@ (|partial| -12 (-5 *2 (-976 (-421 (-560)))) (-4 *1 (-1097 *3 *4 *5)) (-4 *3 (-38 (-421 (-560)))) (-4 *5 (-633 (-1209))) (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872))))) -(((*1 *2) (-12 (-5 *2 (-1305)) (-5 *1 (-827))))) +(((*1 *2 *2 *3 *2) + (-12 (-5 *3 (-793)) (-4 *4 (-363)) (-5 *1 (-220 *4 *2)) + (-4 *2 (-1275 *4))))) (((*1 *2 *1) (-12 (-5 *2 (-663 (-2 (|:| |val| *3) (|:| -2514 *4)))) (-5 *1 (-1173 *3 *4)) (-4 *3 (-13 (-1133) (-34))) @@ -3443,31 +3097,35 @@ ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-1051)))) ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-1098)))) ((*1 *2 *1) (-12 (-5 *2 (-663 (-1167))) (-5 *1 (-1128))))) -(((*1 *2 *3 *3 *4 *4) - (|partial| -12 (-5 *3 (-793)) (-4 *5 (-376)) (-5 *2 (-177 *6)) - (-5 *1 (-892 *5 *4 *6)) (-4 *4 (-1292 *5)) (-4 *6 (-1275 *5))))) -(((*1 *1 *1 *2 *3) - (-12 (-5 *2 (-663 (-1209))) (-5 *3 (-51)) (-5 *1 (-916 *4)) - (-4 *4 (-1133))))) -(((*1 *2) - (-12 (-4 *3 (-13 (-571) (-1070 (-560)))) (-5 *2 (-1305)) - (-5 *1 (-447 *3 *4)) (-4 *4 (-435 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*4 *2)) (-4 *4 (-872)) (-4 *2 (-175)))) @@ -3515,59 +3177,70 @@ (-4 *2 (-1081)))) ((*1 *2 *1 *3) (-12 (-4 *2 (-1081)) (-5 *1 (-1323 *2 *3)) (-4 *3 (-870))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-520)) (-5 *3 (-1147)) (-5 *1 (-1148))))) -(((*1 *2 *3 *4 *3) - (|partial| -12 (-5 *4 (-1209)) - (-4 *5 (-13 (-466) (-149) (-1070 (-560)) (-660 (-560)))) - (-5 *2 (-2 (|:| -1941 *3) (|:| |coeff| *3))) (-5 *1 (-572 *5 *3)) - (-4 *3 (-13 (-27) (-1235) (-435 *5)))))) -(((*1 *1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-270)))) - ((*1 *2 *3 *2) - (-12 (-5 *2 (-391)) (-5 *3 (-663 (-270))) (-5 *1 (-271))))) -(((*1 *1) (-5 *1 (-132)))) -(((*1 *2 *3 *4 *5 *4 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *7 *4) - (-12 (-5 *3 (-1191)) (-5 *5 (-711 (-229))) (-5 *6 (-229)) - (-5 *7 (-711 (-560))) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-774))))) +(((*1 *2 *2) + (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1235)))))) +(((*1 *2 *3) + (|partial| -12 (-4 *2 (-1133)) (-5 *1 (-1227 *3 *2)) (-4 *3 (-1133))))) +(((*1 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(-663 (-1209))) (-4 *5 (-1081)) - (-5 *2 (-255 *4 *5)) (-5 *1 (-974 *4 *5))))) -(((*1 *1 *1) - (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1081))))) -(((*1 *2 *1 *3 *4 *4 *5) - (-12 (-5 *3 (-973 (-229))) (-5 *4 (-899)) (-5 *5 (-949)) - (-5 *2 (-1305)) (-5 *1 (-482)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-973 (-229))) (-5 *2 (-1305)) (-5 *1 (-482)))) - ((*1 *2 *1 *3 *4 *4 *5) - (-12 (-5 *3 (-663 (-973 (-229)))) (-5 *4 (-899)) (-5 *5 (-949)) - (-5 *2 (-1305)) (-5 *1 (-482))))) + (-12 (-4 *4 (-571)) (-4 *2 (-13 (-435 *4) (-1034) (-1235))) + (-5 *1 (-614 *4 *2 *3)) + (-4 *3 (-13 (-435 (-171 *4)) (-1034) (-1235)))))) +(((*1 *2 *2) (-12 (-5 *2 (-229)) (-5 *1 (-267))))) (((*1 *2 *3 *4 *5) (-12 (-5 *3 (-905 *6)) (-5 *4 (-1124 (-391))) (-5 *5 (-663 (-270))) (-4 *6 (-13 (-633 (-549)) (-1133))) (-5 *2 (-1165 (-229))) @@ -3621,31 +3294,14 @@ ((*1 *2 *3 *4 *4) (-12 (-5 *3 (-908 (-1 (-229) (-229) (-229)))) (-5 *4 (-1121 (-391))) (-5 *2 (-1165 (-229))) (-5 *1 (-265))))) -(((*1 *1 *2) (-12 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+(((*1 *2 *3 *4) + (-12 (-5 *3 (-663 *7)) (-4 *7 (-872)) (-4 *5 (-940)) (-4 *6 (-817)) + (-4 *8 (-980 *5 *6 *7)) (-5 *2 (-419 (-1203 *8))) + (-5 *1 (-937 *5 *6 *7 *8)) (-5 *4 (-1203 *8)))) + ((*1 *2 *3) + (-12 (-4 *4 (-940)) (-4 *5 (-1275 *4)) (-5 *2 (-419 (-1203 *5))) + (-5 *1 (-938 *4 *5)) (-5 *3 (-1203 *5))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-597 *3)) (-4 *3 (-376))))) (((*1 *1 *1) (-12 (-4 *1 (-121 *2)) (-4 *2 (-1249)))) ((*1 *1 *1) (-12 (-5 *1 (-694 *2)) (-4 *2 (-872)))) ((*1 *1 *1) (-12 (-5 *1 (-699 *2)) (-4 *2 (-872)))) @@ -3672,71 +3347,34 @@ ((*1 *2 *1) (-12 (-4 *2 (-13 (-871) (-376))) (-5 *1 (-1093 *2 *3)) (-4 *3 (-1275 *2))))) -(((*1 *2 *1 *3) (-12 (-4 *1 (-886)) (-5 *3 (-131)) (-5 *2 (-793))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1303))))) -(((*1 *2 *1) (-12 (-5 *2 (-560)) (-5 *1 (-899)))) - ((*1 *2 *3) - (-12 (-5 *3 (-973 *2)) (-5 *1 (-1014 *2)) (-4 *2 (-1081))))) -(((*1 *2 *1) (-12 (-5 *2 (-949)) (-5 *1 (-1003))))) -(((*1 *1 *1 *2) 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(-421 *2))) (-4 *2 (-1275 *4)) - (-5 *1 (-834 *4 *2)) - (-4 *4 (-13 (-376) (-149) (-1070 (-560)) (-1070 (-421 (-560)))))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-571)) (-5 *2 (-2 (|:| |coef1| *3) (|:| -2349 *3))) + (-5 *1 (-1001 *4 *3)) (-4 *3 (-1275 *4))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-1214))) (-5 *1 (-1214)))) + ((*1 *1 *2 *3) + (-12 (-5 *2 (-520)) (-5 *3 (-663 (-1214))) (-5 *1 (-1214))))) +(((*1 *2 *1) + (-12 (-5 *2 (-421 (-976 *3))) (-5 *1 (-467 *3 *4 *5 *6)) + (-4 *3 (-571)) (-4 *3 (-175)) (-14 *4 (-949)) + (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3)))))) (((*1 *1 *1) (-5 *1 (-48))) ((*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-58 *5)) (-4 *5 (-1249)) @@ -4332,7 +4072,7 @@ (-4 *2 (-1249)))) ((*1 *2 *3) (-12 (-4 *4 (-1081)) - (-5 *2 (-2 (|:| -3189 (-1203 *4)) (|:| |deg| (-949)))) + (-5 *2 (-2 (|:| -4114 (-1203 *4)) (|:| |deg| (-949)))) (-5 *1 (-225 *4 *5)) (-5 *3 (-1203 *4)) (-4 *5 (-571)))) ((*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-246 *5 *6)) (-14 *5 (-793)) @@ -4399,37 +4139,66 @@ ((*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *5 *2)) (-5 *4 (-1299 *5)) (-4 *5 (-1249)) (-4 *2 (-1249)) (-5 *1 (-1300 *5 *2))))) -(((*1 *2 *3 *3 *4) - (-12 (-4 *5 (-466)) (-4 *6 (-817)) (-4 *7 (-872)) - (-4 *3 (-1097 *5 *6 *7)) - (-5 *2 (-663 (-2 (|:| |val| *3) (|:| -2514 *4)))) - (-5 *1 (-1140 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3))))) (((*1 *2 *3) - (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1227 *4 *5)) - (-4 *4 (-1133)) (-4 *5 (-1133))))) + (-12 + (-5 *3 + (-2 (|:| |pde| (-663 (-326 (-229)))) + (|:| |constraints| + (-663 + (-2 (|:| |start| (-229)) (|:| |finish| (-229)) + (|:| |grid| (-793)) (|:| |boundaryType| (-560)) + (|:| |dStart| (-711 (-229))) (|:| |dFinish| (-711 (-229)))))) + (|:| |f| (-663 (-663 (-326 (-229))))) (|:| |st| (-1191)) + (|:| |tol| (-229)))) + (-5 *2 (-114)) (-5 *1 (-213))))) +(((*1 *1 *1 *2 *2) + (|partial| -12 (-5 *2 (-949)) (-5 *1 (-1134 *3 *4)) (-14 *3 *2) + (-14 *4 *2)))) (((*1 *2 *3) - (-12 (-5 *3 (-663 *2)) (-4 *2 (-435 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(|:| |abserr| (-229)) (|:| |relerr| (-229)))) + (-5 *2 + (-2 (|:| |stiffnessFactor| (-391)) (|:| |stabilityFactor| (-391)))) + (-5 *1 (-208))))) +(((*1 *2 *1) (-12 (-5 *2 (-497)) (-5 *1 (-222)))) + ((*1 *1 *1) (-12 (-4 *1 (-251 *2)) (-4 *2 (-1249)))) + ((*1 *2 *1) (-12 (-5 *2 (-497)) (-5 *1 (-698)))) + ((*1 *1 *1) + (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817)) + (-4 *4 (-872))))) +(((*1 *2 *2 *2 *3) + (-12 (-5 *3 (-793)) (-4 *2 (-571)) (-5 *1 (-1001 *2 *4)) + (-4 *4 (-1275 *2))))) (((*1 *2 *3 *4) (-12 (-5 *4 (-630 *6)) (-4 *6 (-13 (-435 *5) (-27) (-1235))) (-4 *5 (-13 (-466) (-1070 (-560)) (-149) (-660 (-560)))) @@ -4449,63 +4218,80 @@ (-12 (-4 *2 (-980 *3 *4 *5)) (-5 *1 (-1066 *3 *4 *5 *2 *6)) (-4 *3 (-376)) (-4 *4 (-817)) (-4 *5 (-872)) (-14 *6 (-663 *2))))) (((*1 *2 *3) - (-12 (-5 *3 (-1203 *4)) (-4 *4 (-363)) (-5 *2 (-988 (-1152))) - (-5 *1 (-360 *4))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-663 *1)) (-4 *1 (-1097 *4 *5 *6)) (-4 *4 (-1081)) - (-4 *5 (-817)) (-4 *6 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(-229))) + (|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229))) + (|:| |abserr| (-229)) (|:| |relerr| (-229)))) + (-5 *2 (-391)) (-5 *1 (-208))))) (((*1 *2 *1) (-12 (-4 *1 (-134)) (-5 *2 (-793)))) ((*1 *2 *3 *1 *2) (-12 (-5 *2 (-560)) (-4 *1 (-385 *3)) (-4 *3 (-1249)) @@ -4519,63 +4305,74 @@ ((*1 *2 *1) (-12 (-5 *2 (-1152)) (-5 *1 (-543)))) ((*1 *2 *3 *1 *2) (-12 (-4 *1 (-1176)) (-5 *2 (-560)) (-5 *3 (-143)))) ((*1 *2 *1 *1 *2) (-12 (-4 *1 (-1176)) (-5 *2 (-560))))) -(((*1 *2 *1) - (-12 (-5 *2 (-713 (-898 (-996 *3) (-996 *3)))) (-5 *1 (-996 *3)) - (-4 *3 (-1133))))) -(((*1 *2 *3) - (-12 (-4 *3 (-1275 (-421 (-560)))) - (-5 *2 (-2 (|:| |den| (-560)) (|:| |gcdnum| (-560)))) - (-5 *1 (-943 *3 *4)) (-4 *4 (-1275 (-421 *3))))) - ((*1 *2 *3) - (-12 (-4 *4 (-1275 (-421 *2))) (-5 *2 (-560)) (-5 *1 (-943 *4 *3)) - (-4 *3 (-1275 (-421 *4)))))) +(((*1 *2 *3 *3 *3) + (-12 (-5 *3 (-1191)) (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) + (-4 *7 (-1097 *4 *5 *6)) (-5 *2 (-1305)) + (-5 *1 (-1020 *4 *5 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*2)) + (-15 -4417 ((-1299 *2) (-949))) (-15 -2431 (*2 *2))))) + (-5 *1 (-370 *2 *4))))) +(((*1 *2 *2 *1) + (-12 (-4 *1 (-1244 *3 *4 *5 *2)) (-4 *3 (-571)) (-4 *4 (-817)) + (-4 *5 (-872)) (-4 *2 (-1097 *3 *4 *5))))) +(((*1 *2 *3 *3) + (-12 (-4 *3 (-319)) (-4 *3 (-175)) (-4 *4 (-385 *3)) + (-4 *5 (-385 *3)) (-5 *2 (-2 (|:| -2899 *3) (|:| -1803 *3))) + (-5 *1 (-710 *3 *4 *5 *6)) (-4 *6 (-708 *3 *4 *5)))) + ((*1 *2 *3 *3) + (-12 (-5 *2 (-2 (|:| -2899 *3) (|:| -1803 *3))) (-5 *1 (-722 *3)) + (-4 *3 (-319))))) +(((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-793)) (-4 *1 (-338 *3 *4)) (-4 *3 (-1081)) + (-4 *4 (-816)) (-4 *3 (-175))))) (((*1 *2 *3) (-12 (-5 *3 (-51)) (-5 *1 (-52 *2)) (-4 *2 (-1249)))) ((*1 *1 *2) (-12 (-5 *2 (-976 (-391))) (-5 *1 (-352 *3 *4 *5)) @@ -4726,11 +4503,11 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) - (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) + (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| |mdnia| (-2 (|:| |fn| (-326 (-229))) - (|:| -1623 (-663 (-1121 (-866 (-229))))) + (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))))) (-5 *1 (-791)))) ((*1 *2 *1) @@ -4746,13 +4523,13 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-326 (-229))) (|:| -1912 (-663 (-229))) + (-2 (|:| |fn| (-326 (-229))) (|:| -1911 (-663 (-229))) (|:| |lb| (-663 (-866 (-229)))) (|:| |cf| (-663 (-326 (-229)))) (|:| |ub| (-663 (-866 (-229)))))) (|:| |lsa| (-2 (|:| |lfn| (-663 (-326 (-229)))) - (|:| -1912 (-663 (-229))))))) + (|:| -1911 (-663 (-229))))))) (-5 *1 (-865)))) ((*1 *2 *1) (-12 @@ -4771,7 +4548,7 @@ (-4 *4 (-817)) (-4 *5 (-872)) (-4 *1 (-1008 *3 *4 *5 *6)))) ((*1 *2 *1) (-12 (-4 *1 (-1070 *2)) (-4 *2 (-1249)))) ((*1 *1 *2) - (-2171 + (-2172 (-12 (-5 *2 (-976 *3)) (-12 (-2345 (-4 *3 (-38 (-421 (-560))))) (-2345 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1209)))) @@ -4788,7 +4565,7 @@ (-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817)) (-4 *5 (-872))))) ((*1 *1 *2) - (-2171 + (-2172 (-12 (-5 *2 (-976 (-560))) (-4 *1 (-1097 *3 *4 *5)) (-12 (-2345 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560))) (-4 *5 (-633 (-1209)))) @@ -4800,229 +4577,213 @@ (-12 (-5 *2 (-976 (-421 (-560)))) (-4 *1 (-1097 *3 *4 *5)) (-4 *3 (-38 (-421 (-560)))) (-4 *5 (-633 (-1209))) (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872))))) -(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847))))) -(((*1 *2 *1) (-12 (-4 *1 (-34)) (-5 *2 (-114)))) - ((*1 *2 *1) - (-12 (-4 *3 (-466)) (-4 *4 (-872)) (-4 *5 (-817)) (-5 *2 (-114)) - (-5 *1 (-1018 *3 *4 *5 *6)) (-4 *6 (-980 *3 *5 *4)))) - ((*1 *2 *1) - (-12 (-5 *2 (-114)) (-5 *1 (-1172 *3 *4)) (-4 *3 (-13 (-1133) (-34))) - (-4 *4 (-13 (-1133) (-34)))))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *3 (-560)) (-4 *4 (-175)) (-4 *5 (-385 *4)) - (-4 *6 (-385 *4)) (-5 *1 (-710 *4 *5 *6 *2)) - (-4 *2 (-708 *4 *5 *6))))) -(((*1 *2 *3 *1) - (-12 (-4 *4 (-13 (-871) (-376))) (-5 *2 (-114)) (-5 *1 (-1093 *4 *3)) - (-4 *3 (-1275 *4))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-1 *4 *4)) (-4 *4 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+ (-5 *2 (-711 *4))))) (((*1 *1 *1) (-4 *1 (-35))) ((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) @@ -6388,60 +5916,40 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) -(((*1 *1 *1 *2) - (|partial| -12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081))))) -(((*1 *2 *3 *4 *2 *5) - (-12 (-5 *3 (-663 *8)) (-5 *4 (-663 (-916 *6))) - (-5 *5 (-1 (-914 *6 *8) *8 (-916 *6) (-914 *6 *8))) (-4 *6 (-1133)) - (-4 *8 (-13 (-1081) (-633 (-916 *6)) (-1070 *7))) - (-5 *2 (-914 *6 *8)) (-4 *7 (-1081)) (-5 *1 (-971 *6 *7 *8))))) -(((*1 *2 *1) - (-12 (-4 *1 (-708 *3 *4 *5)) (-4 *3 (-1081)) (-4 *4 (-385 *3)) - (-4 *5 (-385 *3)) (-5 *2 (-114)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1085 *3 *4 *5 *6 *7)) (-4 *5 (-1081)) - (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5)) (-5 *2 (-114))))) -(((*1 *2 *1 *1) - (-12 (-5 *2 (-663 (-305 *4))) (-5 *1 (-646 *3 *4 *5)) (-4 *3 (-872)) - (-4 *4 (-13 (-175) (-739 (-421 (-560))))) (-14 *5 (-949))))) -(((*1 *2 *3 *3 *3) - (-12 (-5 *3 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*3) (|:| -4027 *4))) - (-5 *1 (-1001 *4 *3)) (-4 *3 (-1275 *4))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-877 *2)) (-4 *2 (-1081)) (-4 *2 (-376))))) -(((*1 *2 *3) (-12 (-5 *3 (-846)) (-5 *2 (-51)) (-5 *1 (-855))))) + (-12 (-4 *4 (-13 (-871) (-319) (-149) (-1052))) + (-5 *2 + (-663 (-2 (|:| -1798 (-1203 *4)) (|:| -2332 (-663 (-976 *4)))))) + (-5 *1 (-1327 *4 *5 *6)) (-5 *3 (-663 (-976 *4))) + (-14 *5 (-663 (-1209))) (-14 *6 (-663 (-1209)))))) +(((*1 *1 *1 *1) (-5 *1 (-888)))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-1142))))) +(((*1 *2 *3 *4 *5) + (|partial| -12 (-5 *5 (-663 *4)) (-4 *4 (-376)) (-5 *2 (-1299 *4)) + (-5 *1 (-838 *4 *3)) (-4 *3 (-680 *4))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1034))))) @@ -6604,66 +6096,77 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) +(((*1 *2 *1) + (-12 (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) (-5 *2 (-663 *1)) + (-4 *1 (-1097 *3 *4 *5))))) (((*1 *2 *3) - (-12 - (-5 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(|partial| -12 (-5 *4 (-1 *3)) (-4 *3 (-872)) (-4 *5 (-817)) + (-4 *6 (-571)) (-4 *7 (-980 *6 *5 *3)) + (-5 *1 (-476 *5 *3 *6 *7 *2)) + (-4 *2 + (-13 (-1070 (-421 (-560))) (-376) + (-10 -8 (-15 -2375 ($ *7)) (-15 -2324 (*7 $)) + (-15 -2337 (*7 $)))))))) +(((*1 *2 *1 *1) + (-12 (-4 *3 (-376)) (-4 *3 (-1081)) + (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -2468 *1))) + (-4 *1 (-877 *3))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-803 *2)) (-4 *2 (-1081))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1034))))) @@ -6686,8 +6189,10 @@ ((*1 *1 *1) (-12 (-5 *1 (-671 *2 *3 *4)) (-4 *2 (-1133)) (-4 *3 (-23)) (-14 *4 *3)))) -(((*1 *1) (-5 *1 (-1117)))) -(((*1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-955))))) +(((*1 *1 *1 *1) (-5 *1 (-888)))) +(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) + (-12 (-5 *4 (-711 (-229))) (-5 *5 (-711 (-560))) (-5 *6 (-229)) + (-5 *3 (-560)) (-5 *2 (-1067)) (-5 *1 (-774))))) (((*1 *2 *3) (-12 (-4 *4 (-1081)) (-4 *2 (-13 (-418) (-1070 *4) (-376) (-1235) (-296))) @@ -6702,34 +6207,45 @@ ((*1 *2 *1) (-12 (-4 *1 (-1298 *2)) (-4 *2 (-1249)) (-4 *2 (-1034)) (-4 *2 (-1081))))) -(((*1 *2 *3) - (-12 (-5 *3 (-793)) (-5 *2 (-1203 *4)) (-5 *1 (-542 *4)) - (-4 *4 (-363))))) -(((*1 *1 *2 *3) (-12 (-5 *3 (-560)) (-5 *1 (-419 *2)) (-4 *2 (-571))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1 *5 *5)) (-4 *1 (-355 *4 *5 *6)) (-4 *4 (-1254)) - (-4 *5 (-1275 *4)) (-4 *6 (-1275 (-421 *5))) - (-5 *2 (-2 (|:| |num| (-711 *5)) (|:| |den| *5)))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-793)) (-4 *1 (-680 *3)) (-4 *3 (-1081)) (-4 *3 (-376)))) - ((*1 *2 *2 *3 *4) - (-12 (-5 *3 (-793)) (-5 *4 (-1 *5 *5)) (-4 *5 (-376)) - (-5 *1 (-682 *5 *2)) (-4 *2 (-680 *5))))) -(((*1 *2 *3 *3 *3 *3) - (-12 (-5 *3 (-560)) (-5 *2 (-114)) (-5 *1 (-494))))) -(((*1 *1 *2 *3 *4) - (-12 (-14 *5 (-663 (-1209))) (-4 *2 (-175)) - (-4 *4 (-245 (-2086 *5) (-793))) - (-14 *6 - (-1 (-114) (-2 (|:| -3836 *3) (|:| -3562 *4)) - (-2 (|:| -3836 *3) (|:| -3562 *4)))) - (-5 *1 (-475 *5 *2 *3 *4 *6 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*1 (-6 -4511)) (-4 *1 (-385 *2)) (-4 *2 (-1249)) + (-4 *2 (-872)))) + ((*1 *1 *2 *1) + (-12 (-5 *2 (-1 (-114) *3 *3)) (|has| *1 (-6 -4511)) + (-4 *1 (-385 *3)) (-4 *3 (-1249))))) +(((*1 *1 *1) (-4 *1 (-176))) + ((*1 *1 *1) + (-12 (-4 *1 (-378 *2 *3)) (-4 *2 (-1133)) (-4 *3 (-1133))))) +(((*1 *2 *2) + (-12 (-5 *2 (-663 *6)) (-4 *6 (-1097 *3 *4 *5)) (-4 *3 (-466)) + (-4 *3 (-571)) (-4 *4 (-817)) (-4 *5 (-872)) + (-5 *1 (-1009 *3 *4 *5 *6)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-663 *7)) (-5 *3 (-114)) (-4 *7 (-1097 *4 *5 *6)) + (-4 *4 (-466)) (-4 *4 (-571)) (-4 *5 (-817)) (-4 *6 (-872)) + (-5 *1 (-1009 *4 *5 *6 *7))))) +(((*1 *2 *1) + (-12 (-5 *2 (-421 (-976 *3))) (-5 *1 (-467 *3 *4 *5 *6)) + (-4 *3 (-571)) (-4 *3 (-175)) (-14 *4 (-949)) + (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3)))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1034))))) @@ -6749,43 +6265,53 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) +(((*1 *1 *2 *3) + (-12 (-5 *3 (-663 (-1209))) (-5 *2 (-1209)) (-5 *1 (-342))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448)))) + ((*1 *2 *3) + (-12 (-5 *2 (-114)) (-5 *1 (-583 *3)) (-4 *3 (-1070 (-560))))) + ((*1 *2 *1) + (-12 (-4 *1 (-1136 *3 *4 *5 *6 *7)) (-4 *3 (-1133)) (-4 *4 (-1133)) + (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *7 (-1133)) (-5 *2 (-114))))) (((*1 *2 *3) - (-12 (-5 *3 (-663 (-949))) (-5 *2 (-1211 (-421 (-560)))) - (-5 *1 (-193))))) + (-12 (-5 *3 (-973 *2)) (-5 *1 (-1014 *2)) (-4 *2 (-1081))))) (((*1 *2 *3) - (-12 (-4 *4 (-571)) (-4 *5 (-817)) (-4 *6 (-872)) - (-4 *7 (-1097 *4 *5 *6)) - (-5 *2 (-2 (|:| |goodPols| (-663 *7)) (|:| |badPols| (-663 *7)))) - (-5 *1 (-1009 *4 *5 *6 *7)) (-5 *3 (-663 *7))))) -(((*1 *1 *2 *3) (-12 (-5 *2 (-1191)) (-5 *3 (-848)) (-5 *1 (-847))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1129 *3)) (-5 *1 (-932 *3)) (-4 *3 (-381)) - (-4 *3 (-1133))))) -(((*1 *2 *1) - (-12 (-4 *1 (-262 *3 *4 *5 *6)) (-4 *3 (-1081)) (-4 *4 (-872)) - (-4 *5 (-277 *4)) (-4 *6 (-817)) (-5 *2 (-114))))) + (-12 (-5 *3 (-1191)) (-5 *2 (-663 (-1214))) (-5 *1 (-906))))) +(((*1 *2 *3 *4 *5 *6 *3 *3 *3 *3 *6 *3 *7 *8) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *5 (-114)) + (-5 *6 (-229)) (-5 *7 (-3 (|:| |fn| (-402)) (|:| |fp| (-68 APROD)))) + (-5 *8 (-3 (|:| |fn| (-402)) (|:| |fp| (-73 MSOLVE)))) + (-5 *2 (-1067)) (-5 *1 (-778))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-339 *3)) (-4 *3 (-1249)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-560)) (-5 *1 (-530 *3 *4)) (-4 *3 (-1249)) (-14 *4 *2)))) +(((*1 *2 *3 *4 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067)) + (-5 *1 (-769))))) +(((*1 *2 *1) (-12 (-4 *1 (-1166 *3)) (-4 *3 (-1081)) (-5 *2 (-114))))) +(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847))))) (((*1 *2 *1 *3 *4) - (-12 (-5 *3 (-949)) (-5 *4 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1302))))) -(((*1 *2) - (-12 (-4 *4 (-175)) (-5 *2 (-114)) (-5 *1 (-379 *3 *4)) - (-4 *3 (-380 *4)))) - ((*1 *2) (-12 (-4 *1 (-380 *3)) (-4 *3 (-175)) (-5 *2 (-114))))) 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(-25)) (-4 *3 (-1133)) (-5 *2 (-663 *1)) + (-4 *1 (-435 *3)))) + ((*1 *2 *1) + (|partial| -12 (-5 *2 (-663 (-916 *3))) (-5 *1 (-916 *3)) + (-4 *3 (-1133)))) + ((*1 *2 *1) + (|partial| -12 (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) + (-5 *2 (-663 *1)) (-4 *1 (-980 *3 *4 *5)))) + ((*1 *2 *3) + (|partial| -12 (-4 *4 (-817)) (-4 *5 (-872)) (-4 *6 (-1081)) + (-4 *7 (-980 *6 *4 *5)) (-5 *2 (-663 *3)) + (-5 *1 (-981 *4 *5 *6 *7 *3)) + (-4 *3 + (-13 (-376) + (-10 -8 (-15 -2375 ($ *7)) (-15 -2324 (*7 $)) + (-15 -2337 (*7 $)))))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1034))))) @@ -6805,43 +6331,40 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) -(((*1 *1 *1) - (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1081))))) -(((*1 *2 *3) - (-12 (-5 *3 (-560)) (|has| *1 (-6 -4501)) (-4 *1 (-418)) - (-5 *2 (-949))))) -(((*1 *1 *1 *1) - (-12 (|has| *1 (-6 -4511)) (-4 *1 (-251 *2)) (-4 *2 (-1249)))) - ((*1 *1 *1 *1) (-12 (-4 *1 (-294 *2)) (-4 *2 (-1249)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-294 *2)) (-4 *2 (-1249)))) - ((*1 *1 *1 *2) - (-12 (|has| *1 (-6 -4511)) (-4 *1 (-1288 *2)) (-4 *2 (-1249)))) - ((*1 *1 *1 *1) - (-12 (|has| *1 (-6 -4511)) (-4 *1 (-1288 *2)) (-4 *2 (-1249))))) -(((*1 *1 *2) - (-12 (-5 *2 (-711 *4)) (-4 *4 (-1081)) (-5 *1 (-1174 *3 *4)) - (-14 *3 (-793))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-13 (-376) (-149) (-1070 (-560)))) (-4 *5 (-1275 *4)) - (-5 *2 (-2 (|:| |ans| (-421 *5)) (|:| |nosol| (-114)))) - (-5 *1 (-1047 *4 *5)) (-5 *3 (-421 *5))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235))))) (((*1 *2 *2) - (|partial| -12 (-5 *2 (-421 *4)) (-4 *4 (-1275 *3)) - (-4 *3 (-13 (-376) (-149) (-1070 (-560)))) (-5 *1 (-582 *3 *4))))) -(((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-663 (-326 (-229)))) (-5 *3 (-229)) (-5 *2 (-114)) - (-5 *1 (-213))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 *2)) (-4 *2 (-1275 *4)) (-5 *1 (-553 *4 *2 *5 *6)) - (-4 *4 (-319)) (-14 *5 *4) (-14 *6 (-1 *4 *4 (-793)))))) -(((*1 *2 *3) - (-12 (-4 *4 (-571)) (-5 *2 (-793)) (-5 *1 (-43 *4 *3)) - (-4 *3 (-432 *4))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-888)))) - ((*1 *1 *1) (-5 *1 (-888)))) + (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1034)))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-663 (-866 (-229)))) (-5 *4 (-229)) (-5 *2 (-663 *4)) - (-5 *1 (-278))))) + (-12 (-4 *5 (-466)) (-4 *6 (-817)) (-4 *7 (-872)) + (-4 *3 (-1097 *5 *6 *7)) (-5 *2 (-114)) + (-5 *1 (-1140 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-466)) (-4 *6 (-817)) (-4 *7 (-872)) + (-4 *3 (-1097 *5 *6 *7)) + (-5 *2 (-663 (-2 (|:| |val| (-114)) (|:| -2514 *4)))) + (-5 *1 (-1140 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3))))) +(((*1 *1 *2 *3) (-12 (-5 *2 (-793)) (-5 *1 (-103 *3)) (-4 *3 (-1133))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-663 *2)) (-4 *2 (-559)) (-5 *1 (-161 *2))))) +(((*1 *1 *1 *1) + (-12 (-4 *1 (-708 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-385 *2)) + (-4 *4 (-385 *2))))) +(((*1 *2 *3) + (-12 (-5 *3 (-711 *2)) (-4 *4 (-1275 *2)) + (-4 *2 (-13 (-319) (-10 -8 (-15 -2959 ((-419 $) $))))) + (-5 *1 (-513 *2 *4 *5)) (-4 *5 (-424 *2 *4)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1155 *3 *2 *4 *5)) (-4 *4 (-245 *3 *2)) + (-4 *5 (-245 *3 *2)) (-4 *2 (-1081))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1303))))) +(((*1 *2 *2) (|partial| -12 (-5 *1 (-601 *2)) (-4 *2 (-559))))) +(((*1 *2 *2 *3 *2) + (-12 (-5 *2 (-711 *3)) (-4 *3 (-1081)) (-5 *1 (-712 *3))))) +(((*1 *2 *1) + (-12 (-4 *3 (-376)) (-4 *4 (-1275 *3)) (-4 *5 (-1275 (-421 *4))) + (-5 *2 (-1299 *6)) (-5 *1 (-346 *3 *4 *5 *6)) + (-4 *6 (-355 *3 *4 *5))))) (((*1 *2 *1) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-1229))))) (((*1 *1 *1) (-5 *1 (-888))) ((*1 *2 *1) @@ -6869,29 +6392,49 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-949)) (-5 *1 (-1304)))) - ((*1 *2) (-12 (-5 *2 (-949)) (-5 *1 (-1304))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-520)) (-5 *2 (-713 (-109))) (-5 *1 (-178)))) +(((*1 *2 *3) + (-12 (-5 *3 (-663 *7)) (-4 *7 (-980 *4 *5 *6)) (-4 *4 (-466)) + (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-1305)) + (-5 *1 (-464 *4 *5 *6 *7))))) +(((*1 *2 *1) (-12 (-5 *2 (-345)) (-5 *1 (-257))))) +(((*1 *2 *3) + (-12 (-4 *4 (-571)) (-4 *5 (-817)) (-4 *6 (-872)) + (-4 *7 (-1097 *4 *5 *6)) + (-5 *2 (-663 (-2 (|:| -1676 *1) (|:| -2229 (-663 *7))))) + (-5 *3 (-663 *7)) (-4 *1 (-1244 *4 *5 *6 *7))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-663 *1)) (-5 *3 (-663 *7)) (-4 *1 (-1103 *4 *5 *6 *7)) + (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) + (-4 *7 (-1097 *4 *5 *6)))) ((*1 *2 *3 *1) - (-12 (-5 *3 (-520)) (-5 *2 (-713 (-109))) (-5 *1 (-1117))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-817)) (-4 *4 (-872)) (-4 *6 (-319)) (-5 *2 (-419 *3)) - (-5 *1 (-764 *5 *4 *6 *3)) (-4 *3 (-980 *6 *5 *4))))) -(((*1 *2 *3 *4 *2 *5 *6 *7 *8 *9 *10) - (|partial| -12 (-5 *2 (-663 (-1203 *13))) (-5 *3 (-1203 *13)) - (-5 *4 (-663 *12)) (-5 *5 (-663 *10)) (-5 *6 (-663 *13)) - (-5 *7 (-663 (-663 (-2 (|:| -3963 (-793)) (|:| |pcoef| *13))))) - (-5 *8 (-663 (-793))) (-5 *9 (-1299 (-663 (-1203 *10)))) - (-4 *12 (-872)) (-4 *10 (-319)) (-4 *13 (-980 *10 *11 *12)) - (-4 *11 (-817)) (-5 *1 (-729 *11 *12 *10 *13))))) -(((*1 *2 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-391)) (-5 *1 (-97)))) - ((*1 *2 *3 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-391)) (-5 *1 (-97))))) -(((*1 *2 *3 *3 *3 *4 *5 *6) - (-12 (-5 *3 (-326 (-560))) (-5 *4 (-1 (-229) (-229))) - (-5 *5 (-1121 (-229))) (-5 *6 (-663 (-270))) (-5 *2 (-1165 (-229))) - (-5 *1 (-719))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-1229))))) + (-12 (-5 *3 (-663 *7)) (-4 *7 (-1097 *4 *5 *6)) (-4 *4 (-466)) + (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-663 *1)) + (-4 *1 (-1103 *4 *5 *6 *7)))) + ((*1 *2 *3 *2) + (-12 (-5 *2 (-663 *1)) (-4 *1 (-1103 *4 *5 *6 *3)) (-4 *4 (-466)) + (-4 *5 (-817)) (-4 *6 (-872)) (-4 *3 (-1097 *4 *5 *6)))) + ((*1 *2 *3 *1) + (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) + (-4 *3 (-1097 *4 *5 *6)) (-5 *2 (-663 *1)) + (-4 *1 (-1103 *4 *5 *6 *3))))) +(((*1 *2 *3) (-12 (-5 *3 (-391)) (-5 *2 (-1191)) (-5 *1 (-315))))) +(((*1 *1 *1 *2 *3 *1) + (-12 (-5 *2 (-793)) (-5 *1 (-803 *3)) (-4 *3 (-1081)))) + ((*1 *1 *1 *2 *3 *1) + (-12 (-5 *1 (-986 *3 *2)) (-4 *2 (-133)) (-4 *3 (-571)) + (-4 *3 (-1081)) (-4 *2 (-816)))) + ((*1 *1 *1 *2 *3 *1) + (-12 (-5 *2 (-793)) (-5 *1 (-1203 *3)) (-4 *3 (-1081)))) + ((*1 *1 *1 *2 *3 *1) + (-12 (-5 *2 (-1003)) (-4 *2 (-133)) (-5 *1 (-1211 *3)) (-4 *3 (-571)) + (-4 *3 (-1081)))) + ((*1 *1 *1 *2 *3 *1) + (-12 (-5 *2 (-793)) (-5 *1 (-1268 *4 *3)) (-14 *4 (-1209)) + (-4 *3 (-1081))))) +(((*1 *2 *3) + (-12 (-4 *4 (-1081)) (-5 *2 (-560)) (-5 *1 (-457 *4 *3 *5)) + (-4 *3 (-1275 *4)) + (-4 *5 (-13 (-418) (-1070 *4) (-376) (-1235) (-296)))))) (((*1 *1 *2 *3) (-12 (-4 *1 (-397 *3 *2)) (-4 *3 (-1081)) (-4 *2 (-1133)))) ((*1 *2 *3 *4) @@ -6900,16 +6443,24 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-843 *4)) (-4 *4 (-872)) (-4 *1 (-1319 *4 *3)) (-4 *3 (-1081))))) -(((*1 *2 *1) - (|partial| -12 (-4 *3 (-466)) (-4 *4 (-872)) (-4 *5 (-817)) - (-5 *2 (-114)) (-5 *1 (-1018 *3 *4 *5 *6)) - (-4 *6 (-980 *3 *5 *4)))) - ((*1 *2 *1) - (-12 (-5 *2 (-114)) (-5 *1 (-1172 *3 *4)) (-4 *3 (-13 (-1133) (-34))) - (-4 *4 (-13 (-1133) (-34)))))) -(((*1 *2 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303)))) - ((*1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303))))) -(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847))))) +(((*1 *2 *3) + (-12 (-5 *3 (-711 (-421 (-976 (-560))))) + (-5 *2 + (-663 + (-2 (|:| |radval| (-326 (-560))) (|:| |radmult| (-560)) + (|:| |radvect| (-663 (-711 (-326 (-560)))))))) + (-5 *1 (-1060))))) +(((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-793)) (-4 *1 (-1097 *3 *4 *5)) (-4 *3 (-1081)) + (-4 *4 (-817)) (-4 *5 (-872)) (-4 *3 (-571))))) +(((*1 *2 *3) + (-12 (-5 *3 (-663 *7)) (-4 *7 (-980 *4 *6 *5)) + (-4 *4 (-13 (-319) (-149))) (-4 *5 (-13 (-872) (-633 (-1209)))) + (-4 *6 (-817)) (-5 *2 (-114)) (-5 *1 (-954 *4 *5 *6 *7)))) + ((*1 *2 *3) + (-12 (-5 *3 (-663 (-976 *4))) (-4 *4 (-13 (-319) (-149))) + (-4 *5 (-13 (-872) (-633 (-1209)))) (-4 *6 (-817)) (-5 *2 (-114)) + (-5 *1 (-954 *4 *5 *6 *7)) (-4 *7 (-980 *4 *6 *5))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) @@ -6926,43 +6477,19 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) -(((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) - (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) - (|:| |relerr| (-229)))) - (-5 *2 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| "The bottom of range is infinite") - (|:| |upperInfinite| "The top of range is infinite") - (|:| |bothInfinite| "Both top and bottom points are infinite") - (|:| |notEvaluated| "Range not yet evaluated"))) - (-5 *1 (-195))))) -(((*1 *2 *1) - (-12 (-5 *2 (-663 (-663 (-793)))) (-5 *1 (-935 *3)) (-4 *3 (-1133))))) -(((*1 *2 *3 *2) - (-12 (-5 *3 (-793)) (-5 *1 (-805 *2)) (-4 *2 (-38 (-421 (-560)))) - (-4 *2 (-175))))) -(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5 *4 *6 *7) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *5 (-1191)) - (-5 *6 (-3 (|:| |fn| (-402)) (|:| |fp| (-83 PDEF)))) - (-5 *7 (-3 (|:| |fn| (-402)) (|:| |fp| (-84 BNDY)))) (-5 *2 (-1067)) - (-5 *1 (-772))))) -(((*1 *1 *1 *2 *3) - (-12 (-5 *3 (-663 *6)) (-4 *6 (-872)) (-4 *4 (-376)) (-4 *5 (-817)) - (-5 *1 (-518 *4 *5 *6 *2)) (-4 *2 (-980 *4 *5 *6)))) - ((*1 *1 *1 *2) - (-12 (-4 *3 (-376)) (-4 *4 (-817)) (-4 *5 (-872)) - (-5 *1 (-518 *3 *4 *5 *2)) (-4 *2 (-980 *3 *4 *5))))) +(((*1 *1) (-5 *1 (-592)))) +(((*1 *2 *1) (-12 (-4 *1 (-1027 *2)) (-4 *2 (-1249))))) +(((*1 *1 *1 *1) (-5 *1 (-114))) ((*1 *1 *1 *1) (-4 *1 (-125)))) +(((*1 *2) + (-12 (-4 *4 (-1254)) (-4 *5 (-1275 *4)) (-4 *6 (-1275 (-421 *5))) + (-5 *2 (-793)) (-5 *1 (-354 *3 *4 *5 *6)) (-4 *3 (-355 *4 *5 *6)))) + ((*1 *2) + (-12 (-4 *1 (-355 *3 *4 *5)) (-4 *3 (-1254)) (-4 *4 (-1275 *3)) + (-4 *5 (-1275 (-421 *4))) (-5 *2 (-793)))) + ((*1 *2 *1) (-12 (-4 *1 (-1166 *3)) (-4 *3 (-1081)) (-5 *2 (-793))))) (((*1 *2 *3 *3) - (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) - (-4 *7 (-1097 *4 *5 *6)) (-5 *2 (-114)) - (-5 *1 (-1020 *4 *5 *6 *7 *3)) (-4 *3 (-1103 *4 *5 *6 *7)))) - ((*1 *2 *3 *3) - (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) - (-4 *7 (-1097 *4 *5 *6)) (-5 *2 (-114)) - (-5 *1 (-1139 *4 *5 *6 *7 *3)) (-4 *3 (-1103 *4 *5 *6 *7))))) + (-12 (-4 *4 (-844)) (-14 *5 (-1209)) (-5 *2 (-663 (-1268 *5 *4))) + (-5 *1 (-1146 *4 *5)) (-5 *3 (-1268 *5 *4))))) (((*1 *1 *2 *2 *3) (-12 (-5 *2 (-793)) (-5 *3 (-1 *4 (-560) (-560))) (-4 *4 (-1081)) (-4 *1 (-708 *4 *5 *6)) (-4 *5 (-385 *4)) (-4 *6 (-385 *4)))) @@ -6977,27 +6504,46 @@ (-12 (-5 *2 (-663 (-663 *5))) (-4 *5 (-1081)) (-4 *1 (-1085 *3 *4 *5 *6 *7)) (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5))))) +(((*1 *2 *3) + (-12 (-5 *3 (-630 *5)) (-4 *5 (-435 *4)) (-4 *4 (-1070 (-560))) + (-4 *4 (-571)) (-5 *2 (-1203 *5)) (-5 *1 (-32 *4 *5)))) + ((*1 *2 *3) + (-12 (-5 *3 (-630 *1)) (-4 *1 (-1081)) (-4 *1 (-310)) + (-5 *2 (-1203 *1))))) (((*1 *2 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*1 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1303))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-419 *5)) (-4 *5 (-571)) + (-5 *2 + (-2 (|:| -1795 (-793)) (|:| -3858 *5) (|:| |radicand| (-663 *5)))) + (-5 *1 (-332 *5)) (-5 *4 (-793)))) + ((*1 *1 *1 *2) (-12 (-4 *1 (-1034)) (-5 *2 (-560))))) (((*1 *2 *1) - (-12 (-5 *2 (-114)) (-5 *1 (-1197 *3 *4)) (-14 *3 (-949)) - (-4 *4 (-1081))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 (-326 (-229)))) (-5 *2 (-114)) (-5 *1 (-278)))) - ((*1 *2 *3) (-12 (-5 *3 (-326 (-229))) (-5 *2 (-114)) (-5 *1 (-278)))) - ((*1 *2 *3) - (-12 (-4 *4 (-571)) (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-114)) - (-5 *1 (-1009 *4 *5 *6 *3)) (-4 *3 (-1097 *4 *5 *6))))) + (-12 (-4 *1 (-708 *3 *4 *5)) (-4 *3 (-1081)) (-4 *4 (-385 *3)) + (-4 *5 (-385 *3)) (-5 *2 (-114)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1085 *3 *4 *5 *6 *7)) (-4 *5 (-1081)) + (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5)) (-5 *2 (-114))))) (((*1 *2 *3 *4) - (-12 (-4 *4 (-376)) (-5 *2 (-663 (-1187 *4))) (-5 *1 (-297 *4 *5)) - 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|coeff| *3) (|:| |logand| *3)))))) + (-5 *1 (-582 *5 *6))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-13 (-376) (-149) (-1070 (-560)))) (-4 *5 (-1275 *4)) + (-5 *2 (-2 (|:| |ans| (-421 *5)) (|:| |nosol| (-114)))) + (-5 *1 (-1047 *4 *5)) (-5 *3 (-421 *5))))) +(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-846))))) (((*1 *1 *1 *2) (-12 (-5 *2 - (-2 (|:| -1364 (-663 (-888))) (|:| -1446 (-663 (-888))) - (|:| |presup| (-663 (-888))) (|:| -2938 (-663 (-888))) + (-2 (|:| -3327 (-663 (-888))) (|:| -3145 (-663 (-888))) + (|:| |presup| (-663 (-888))) (|:| -3299 (-663 (-888))) (|:| |args| (-663 (-888))))) (-5 *1 (-1209)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-663 (-888)))) (-5 *1 (-1209))))) @@ -7080,37 +6639,48 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) +(((*1 *2 *3 *4 *3) + (|partial| -12 (-5 *4 (-1209)) + (-4 *5 (-13 (-571) (-1070 (-560)) (-149))) + (-5 *2 + (-2 (|:| -2240 (-421 (-976 *5))) (|:| |coeff| (-421 (-976 *5))))) + (-5 *1 (-584 *5)) (-5 *3 (-421 (-976 *5)))))) +(((*1 *1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-131))))) (((*1 *2 *3) - (-12 (-5 *3 (-663 (-2 (|:| |deg| (-793)) (|:| -3586 *5)))) - (-4 *5 (-1275 *4)) (-4 *4 (-363)) (-5 *2 (-663 *5)) - (-5 *1 (-220 *4 *5)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-663 (-2 (|:| -2668 *5) (|:| -3992 (-560))))) - (-5 *4 (-560)) (-4 *5 (-1275 *4)) (-5 *2 (-663 *5)) - (-5 *1 (-718 *5))))) -(((*1 *2 *1) (-12 (-5 *2 (-663 (-1117))) (-5 *1 (-303))))) -(((*1 *1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-543)))) - ((*1 *1 *2) (-12 (-5 *2 (-402)) (-5 *1 (-543))))) -(((*1 *2 *3) - (|partial| -12 (-4 *4 (-13 (-571) (-1070 (-560)))) (-4 *5 (-435 *4)) - (-5 *2 (-419 (-1203 (-421 (-560))))) (-5 *1 (-449 *4 *5 *3)) - (-4 *3 (-1275 *5))))) -(((*1 *2 *3) - (-12 (-4 *4 (-817)) - (-4 *5 (-13 (-872) (-10 -8 (-15 -2312 ((-1209) $))))) (-4 *6 (-571)) - (-5 *2 (-2 (|:| -1446 (-976 *6)) (|:| -2999 (-976 *6)))) - (-5 *1 (-754 *4 *5 *6 *3)) (-4 *3 (-980 (-421 (-976 *6)) *4 *5))))) -(((*1 *2 *3) - (-12 (-5 *3 (-560)) (-4 *4 (-817)) (-4 *5 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*1) (-5 *1 (-229))) ((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) @@ -7131,35 +6701,61 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) -(((*1 *1 *1 *1) - (-12 (-4 *1 (-708 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-385 *2)) - (-4 *4 (-385 *2))))) -(((*1 *2 *3) - (-12 (-5 *3 (-597 *2)) (-4 *2 (-13 (-29 *4) (-1235))) - (-5 *1 (-599 *4 *2)) - (-4 *4 (-13 (-466) (-1070 (-560)) (-660 (-560)))))) - ((*1 *2 *3) - (-12 (-5 *3 (-597 (-421 (-976 *4)))) - (-4 *4 (-13 (-466) (-1070 (-560)) (-660 (-560)))) (-5 *2 (-326 *4)) - (-5 *1 (-603 *4))))) +(((*1 *1 *1) (-5 *1 (-1095)))) +(((*1 *1 *2 *3) (-12 (-5 *3 (-560)) (-5 *1 (-419 *2)) (-4 *2 (-571))))) +(((*1 *2 *1) (-12 (-5 *2 (-713 *1)) (-4 *1 (-147)))) + ((*1 *1 *1) (-4 *1 (-363))) + ((*1 *2 *1) (-12 (-5 *2 (-713 *1)) (-4 *1 (-147)) (-4 *1 (-940))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780))))) -(((*1 *2 *1) (-12 (-5 *2 (-1187 *3)) (-5 *1 (-177 *3)) (-4 *3 (-319))))) 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(-1097 *5 *6 *7)) (-4 *9 (-1103 *5 *6 *7 *8)) (-4 *5 (-466)) + (-4 *6 (-817)) (-4 *7 (-872)) (-5 *1 (-1101 *5 *6 *7 *8 *9)))) + ((*1 *2 *3 *2 *4 *4) + (-12 (-5 *2 (-663 *9)) (-5 *3 (-663 *8)) (-5 *4 (-114)) + (-4 *8 (-1097 *5 *6 *7)) (-4 *9 (-1141 *5 *6 *7 *8)) (-4 *5 (-466)) + (-4 *6 (-817)) (-4 *7 (-872)) (-5 *1 (-1177 *5 *6 *7 *8 *9)))) + ((*1 *2 *3 *2 *4 *4 *4 *4 *4) + (-12 (-5 *2 (-663 *9)) (-5 *3 (-663 *8)) (-5 *4 (-114)) + (-4 *8 (-1097 *5 *6 *7)) (-4 *9 (-1141 *5 *6 *7 *8)) (-4 *5 (-466)) + (-4 *6 (-817)) (-4 *7 (-872)) (-5 *1 (-1177 *5 *6 *7 *8 *9))))) +(((*1 *1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-888))))) (((*1 *1 *1) (-4 *1 (-95))) ((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) @@ -7240,35 +6871,62 @@ ((*1 *2 *2) (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3))))) -(((*1 *1 *1 *1) (-5 *1 (-114))) ((*1 *1 *1 *1) (-4 *1 (-125)))) -(((*1 *2 *1) (-12 (-5 *2 (-663 (-1250))) (-5 *1 (-538))))) -(((*1 *2 *1) (-12 (-4 *1 (-440 *3)) (-4 *3 (-1133)) (-5 *2 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(-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1034))))) @@ -7285,70 +6943,30 @@ (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560)))) (-5 *1 (-1195 *3)))) ((*1 *1 *1) (-4 *1 (-1238)))) -(((*1 *2 *1) - (-12 (-4 *1 (-1103 *3 *4 *5 *6)) (-4 *3 (-466)) (-4 *4 (-817)) - (-4 *5 (-872)) (-4 *6 (-1097 *3 *4 *5)) (-5 *2 (-114)))) - ((*1 *2 *3 *1) - (-12 (-4 *1 (-1103 *4 *5 *6 *3)) (-4 *4 (-466)) (-4 *5 (-817)) - (-4 *6 (-872)) (-4 *3 (-1097 *4 *5 *6)) (-5 *2 (-114))))) -(((*1 *2 *1 *1) - (-12 - (-5 *2 - (-2 (|:| -3858 *3) (|:| |gap| (-793)) (|:| -2744 (-803 *3)) - (|:| -4170 (-803 *3)))) - (-5 *1 (-803 *3)) (-4 *3 (-1081)))) - ((*1 *2 *1 *1 *3) - (-12 (-4 *4 (-1081)) (-4 *5 (-817)) (-4 *3 (-872)) - (-5 *2 - (-2 (|:| -3858 *1) (|:| |gap| (-793)) (|:| -2744 *1) - (|:| -4170 *1))) - (-4 *1 (-1097 *4 *5 *3)))) - ((*1 *2 *1 *1) - (-12 (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) - (-5 *2 - (-2 (|:| -3858 *1) (|:| |gap| (-793)) (|:| -2744 *1) - (|:| -4170 *1))) - (-4 *1 (-1097 *3 *4 *5))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-663 *1)) (-5 *3 (-663 *7)) (-4 *1 (-1103 *4 *5 *6 *7)) - (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) - (-4 *7 (-1097 *4 *5 *6)))) - ((*1 *2 *3 *1) - (-12 (-5 *3 (-663 *7)) (-4 *7 (-1097 *4 *5 *6)) (-4 *4 (-466)) - (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-663 *1)) - (-4 *1 (-1103 *4 *5 *6 *7)))) - ((*1 *2 *3 *2) - (-12 (-5 *2 (-663 *1)) (-4 *1 (-1103 *4 *5 *6 *3)) (-4 *4 (-466)) - (-4 *5 (-817)) (-4 *6 (-872)) (-4 *3 (-1097 *4 *5 *6)))) - ((*1 *2 *3 *1) - (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) - (-4 *3 (-1097 *4 *5 *6)) (-5 *2 (-663 *1)) - (-4 *1 (-1103 *4 *5 *6 *3))))) -(((*1 *2 *3 *3 *4) - (|partial| -12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1275 *5)) - (-4 *5 (-13 (-376) (-149) (-1070 (-560)))) - (-5 *2 - (-2 (|:| |a| *6) (|:| |b| (-421 *6)) (|:| |c| (-421 *6)) - (|:| -4004 *6))) - (-5 *1 (-1047 *5 *6)) (-5 *3 (-421 *6))))) -(((*1 *2 *1) - (-12 (-4 *1 (-168 *3)) (-4 *3 (-175)) (-4 *3 (-559)) (-5 *2 (-114)))) - ((*1 *2 *1) - (-12 (-5 *2 (-114)) (-5 *1 (-419 *3)) (-4 *3 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(-34)) (-5 *2 (-114))))) +(((*1 *2 *3) (-12 (-5 *3 (-888)) (-5 *2 (-1191)) (-5 *1 (-732))))) +(((*1 *2 *3 *1) + (-12 (|has| *1 (-6 -4510)) (-4 *1 (-618 *4 *3)) (-4 *4 (-1133)) + (-4 *3 (-1249)) (-4 *3 (-1133)) (-5 *2 (-114))))) +(((*1 *2 *3) + (-12 (-5 *3 (-3 (|:| |fst| (-448)) (|:| -3103 "void"))) + (-5 *2 (-1305)) (-5 *1 (-1212)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-1209)) + (-5 *4 (-3 (|:| |fst| (-448)) (|:| -3103 "void"))) (-5 *2 (-1305)) + (-5 *1 (-1212)))) + ((*1 *2 *3 *4 *1) + (-12 (-5 *3 (-1209)) + (-5 *4 (-3 (|:| |fst| (-448)) (|:| -3103 "void"))) (-5 *2 (-1305)) + (-5 *1 (-1212))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-671 *2 *3 *4)) (-4 *2 (-1133)) (-4 *3 (-23)) (-14 *4 *3))) @@ -7357,27 +6975,17 @@ (-14 *4 *3))) ((*1 *1 *1 *1) (-12 (-5 *1 (-697 *2)) (-4 *2 (-1081)) (-4 *2 (-1133))))) -(((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1034)))))) +(((*1 *1 *1 *1) + (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817)) + (-4 *4 (-872)))) + ((*1 *2 *2 *1) + (-12 (-4 *1 (-1244 *3 *4 *5 *2)) (-4 *3 (-571)) (-4 *4 (-817)) + (-4 *5 (-872)) (-4 *2 (-1097 *3 *4 *5))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-1103 *4 *5 *6 *3)) (-4 *4 (-466)) (-4 *5 (-817)) + (-4 *6 (-872)) (-4 *3 (-1097 *4 *5 *6)) (-5 *2 (-114))))) (((*1 *2 *1) - (-12 - (-5 *2 - (-663 - (-2 (|:| |scalar| (-421 (-560))) (|:| |coeff| (-1203 *3)) - (|:| |logand| (-1203 *3))))) - (-5 *1 (-597 *3)) (-4 *3 (-376))))) -(((*1 *2) - (-12 (-5 *2 (-711 (-936 *3))) (-5 *1 (-365 *3 *4)) (-14 *3 (-949)) - (-14 *4 (-949)))) - ((*1 *2) - (-12 (-5 *2 (-711 *3)) (-5 *1 (-366 *3 *4)) (-4 *3 (-363)) - (-14 *4 - (-3 (-1203 *3) - (-1299 (-663 (-2 (|:| -3788 *3) (|:| -3836 (-1152))))))))) - ((*1 *2) - (-12 (-5 *2 (-711 *3)) (-5 *1 (-367 *3 *4)) (-4 *3 (-363)) - (-14 *4 (-949))))) + (-12 (-5 *2 (-663 (-560))) (-5 *1 (-1036 *3)) (-14 *3 (-560))))) (((*1 *2 *2) (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) (-4 *2 (-13 (-435 *3) (-1034))))) @@ -7394,43 +7002,37 @@ (-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 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(-149) (-1070 (-560)) (-660 (-560)))) + (-5 *2 (-2 (|:| -2240 *3) (|:| |coeff| *3))) (-5 *1 (-572 *5 *3)) + (-4 *3 (-13 (-27) (-1235) (-435 *5)))))) (((*1 *2 *3 *4 *2) (-12 (-5 *4 (-1 *2 *2)) (-4 *2 (-670 *5)) (-4 *5 (-1081)) (-5 *1 (-53 *5 *2 *3)) (-4 *3 (-877 *5)))) @@ -7934,10 +7871,20 @@ ((*1 *2 *3 *2 *2 *4 *5) (-12 (-5 *4 (-99 *2)) (-5 *5 (-1 *2 *2)) (-4 *2 (-1081)) (-5 *1 (-878 *2 *3)) (-4 *3 (-877 *2))))) -(((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-576))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-1103 *4 *5 *6 *3)) (-4 *4 (-466)) (-4 *5 (-817)) - (-4 *6 (-872)) (-4 *3 (-1097 *4 *5 *6)) (-5 *2 (-114))))) +(((*1 *2 *3) (-12 (-5 *3 (-793)) (-5 *2 (-1305)) (-5 *1 (-391)))) + ((*1 *2) (-12 (-5 *2 (-1305)) (-5 *1 (-391))))) +(((*1 *2) + (-12 (-5 *2 (-988 (-1152))) (-5 *1 (-357 *3 *4)) (-14 *3 (-949)) + (-14 *4 (-949)))) + ((*1 *2) + (-12 (-5 *2 (-988 (-1152))) (-5 *1 (-358 *3 *4)) (-4 *3 (-363)) + (-14 *4 (-1203 *3)))) + ((*1 *2) + (-12 (-5 *2 (-988 (-1152))) (-5 *1 (-359 *3 *4)) (-4 *3 (-363)) + (-14 *4 (-949))))) +(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3) + (-12 (-5 *3 (-560)) (-5 *5 (-711 (-229))) (-5 *4 (-229)) + (-5 *2 (-1067)) (-5 *1 (-774))))) (((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-139)))) ((*1 *2 *1) (-12 (-5 *2 (-1250)) (-5 *1 (-158)))) ((*1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-1249)))) @@ -7951,53 +7898,39 @@ (-4 *4 (-13 (-1081) (-912 *3) (-633 (-916 *3)))))) ((*1 *2 *1) (-12 (-4 *2 (-1133)) (-5 *1 (-1198 *3 *2)) (-4 *3 (-1133))))) -(((*1 *2 *3 *1) - (|partial| -12 (-5 *3 (-916 *4)) (-4 *4 (-1133)) (-4 *2 (-1133)) - (-5 *1 (-914 *4 *2))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235))))) (((*1 *2 *3) - (-12 (-5 *3 (-1 *6 *4)) (-4 *4 (-1133)) (-4 *6 (-1133)) - (-5 *2 (-1 *6 *4 *5)) (-5 *1 (-706 *4 *5 *6)) (-4 *5 (-1133))))) -(((*1 *2 *2) - (-12 (-4 *3 (-319)) (-4 *4 (-385 *3)) (-4 *5 (-385 *3)) - (-5 *1 (-1156 *3 *4 *5 *2)) (-4 *2 (-708 *3 *4 *5))))) -(((*1 *2 *2) - (-12 (-5 *2 (-114)) (-5 *1 (-352 *3 *4 *5)) (-14 *3 (-663 (-1209))) - (-14 *4 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(-872)) (-4 *3 (-319)) + (-4 *10 (-980 *3 *9 *8)) (-4 *9 (-817)) + (-5 *2 + (-2 (|:| |polfac| (-663 *10)) (|:| |correct| *3) + (|:| |corrfact| (-663 (-1203 *3))))) + (-5 *1 (-644 *8 *9 *3 *10)) (-5 *4 (-663 (-1203 *3)))))) +(((*1 *1) (-5 *1 (-303)))) (((*1 *2 *1) - (-12 (-5 *2 (-421 (-976 *3))) (-5 *1 (-467 *3 *4 *5 *6)) - (-4 *3 (-571)) (-4 *3 (-175)) (-14 *4 (-949)) - (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3)))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 (-326 (-229)))) (-5 *2 (-114)) (-5 *1 (-278))))) + (-12 (-4 *1 (-1319 *3 *4)) (-4 *3 (-872)) (-4 *4 (-1081)) + (-5 *2 (-843 *3)))) + ((*1 *2 *1) + (-12 (-4 *2 (-870)) (-5 *1 (-1323 *3 *2)) (-4 *3 (-1081))))) (((*1 *1 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-816)))) ((*1 *1 *1) (-12 (-5 *1 (-50 *2 *3)) (-4 *2 (-1081)) (-14 *3 (-663 (-1209))))) @@ -8113,8 +8022,8 @@ (-12 (-14 *2 (-663 (-1209))) (-4 *3 (-175)) (-4 *5 (-245 (-2086 *2) (-793))) (-14 *6 - (-1 (-114) (-2 (|:| -3836 *4) (|:| -3562 *5)) - (-2 (|:| -3836 *4) (|:| 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+ ((*1 *2 *1) (-12 (-4 *1 (-559)) (-5 *2 (-421 (-560))))) + ((*1 *2 *1) + (-12 (-4 *1 (-820 *3)) (-4 *3 (-175)) (-4 *3 (-559)) + (-5 *2 (-421 (-560))))) + ((*1 *2 *1) + (-12 (-5 *2 (-421 (-560))) (-5 *1 (-856 *3)) (-4 *3 (-559)) + (-4 *3 (-1133)))) + ((*1 *2 *1) + (-12 (-5 *2 (-421 (-560))) (-5 *1 (-866 *3)) (-4 *3 (-559)) + (-4 *3 (-1133)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1030 *3)) (-4 *3 (-175)) (-4 *3 (-559)) + (-5 *2 (-421 (-560))))) + ((*1 *2 *3) + (-12 (-5 *2 (-421 (-560))) (-5 *1 (-1040 *3)) (-4 *3 (-1070 *2))))) +(((*1 *2 *3) (-12 (-5 *3 (-949)) (-5 *2 (-935 (-560))) (-5 *1 (-947)))) + ((*1 *2 *3) + (-12 (-5 *3 (-663 (-560))) (-5 *2 (-935 (-560))) (-5 *1 (-947))))) +(((*1 *2 *2) + (|partial| -12 (-5 *2 (-663 (-916 *3))) (-5 *1 (-916 *3)) + (-4 *3 (-1133))))) +(((*1 *2 *2 *3) + (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3))))) +(((*1 *2 *3 *4 *5 *5) + (-12 (-5 *5 (-793)) (-4 *6 (-1133)) (-4 *7 (-928 *6)) + (-5 *2 (-711 *7)) (-5 *1 (-714 *6 *7 *3 *4)) (-4 *3 (-385 *7)) + (-4 *4 (-13 (-385 *6) (-10 -7 (-6 -4510))))))) +(((*1 *2) (-12 (-5 *2 (-1165 (-229))) (-5 *1 (-1233))))) (((*1 *2 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *3 (-816)) (-4 *2 (-1081)))) ((*1 *2 *1) (-12 (-4 *2 (-1081)) (-5 *1 (-50 *2 *3)) (-14 *3 (-663 (-1209))))) @@ -8241,8 +8161,8 @@ ((*1 *2 *1) (-12 (-14 *3 (-663 (-1209))) (-4 *5 (-245 (-2086 *3) (-793))) (-14 *6 - (-1 (-114) (-2 (|:| -3836 *4) (|:| -3562 *5)) - (-2 (|:| -3836 *4) (|:| -3562 *5)))) + (-1 (-114) (-2 (|:| -3838 *4) (|:| -1795 *5)) + (-2 (|:| -3838 *4) (|:| -1795 *5)))) (-4 *2 (-175)) (-5 *1 (-475 *3 *2 *4 *5 *6 *7)) (-4 *4 (-872)) (-4 *7 (-980 *2 *5 (-889 *3))))) ((*1 *2 *1) (-12 (-4 *1 (-523 *2 *3)) (-4 *3 (-875)) (-4 *2 (-102)))) @@ -8259,53 +8179,91 @@ ((*1 *1 *1 *2) (-12 (-4 *1 (-1097 *3 *4 *2)) (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *2 (-872))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-1 *7 *7)) + (-5 *5 (-1 (-3 (-663 *6) "failed") (-560) *6 *6)) (-4 *6 (-376)) + (-4 *7 (-1275 *6)) + (-5 *2 (-2 (|:| |answer| (-597 (-421 *7))) (|:| |a0| *6))) + (-5 *1 (-588 *6 *7)) (-5 *3 (-421 *7))))) (((*1 *2 *3) - (-12 (-5 *3 (-663 (-560))) (-5 *2 (-935 (-560))) (-5 *1 (-947)))) - ((*1 *2) (-12 (-5 *2 (-935 (-560))) (-5 *1 (-947))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1299 *1)) (-4 *1 (-380 *4)) (-4 *4 (-175)) - (-5 *2 (-663 (-976 *4))))) - ((*1 *2) - (-12 (-4 *4 (-175)) (-5 *2 (-663 (-976 *4))) (-5 *1 (-431 *3 *4)) - (-4 *3 (-432 *4)))) - ((*1 *2) - (-12 (-4 *1 (-432 *3)) (-4 *3 (-175)) (-5 *2 (-663 (-976 *3))))) - ((*1 *2) - (-12 (-5 *2 (-663 (-976 *3))) (-5 *1 (-467 *3 *4 *5 *6)) - (-4 *3 (-571)) (-4 *3 (-175)) (-14 *4 (-949)) - (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3))))) - ((*1 *2 *3) - (-12 (-5 *3 (-1299 (-467 *4 *5 *6 *7))) (-5 *2 (-663 (-976 *4))) - (-5 *1 (-467 *4 *5 *6 *7)) (-4 *4 (-571)) (-4 *4 (-175)) - (-14 *5 (-949)) (-14 *6 (-663 (-1209))) (-14 *7 (-1299 (-711 *4)))))) -(((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1034)))))) -(((*1 *1 *1 *1) - (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817)) - (-4 *4 (-872)))) - ((*1 *2 *2 *1) - (-12 (-4 *1 (-1244 *3 *4 *5 *2)) (-4 *3 (-571)) (-4 *4 (-817)) - (-4 *5 (-872)) (-4 *2 (-1097 *3 *4 *5))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-448)) + (-12 (-5 *3 (-1187 (-1187 *4))) (-5 *2 (-1187 *4)) (-5 *1 (-1193 *4)) + (-4 *4 (-38 (-421 (-560)))) (-4 *4 (-1081))))) +(((*1 *2 *3 *3) + (-12 (-5 *2 (-1203 *3)) (-5 *1 (-944 *3)) (-4 *3 (-319))))) +(((*1 *2 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-949)) (-5 *1 (-808))))) +(((*1 *1 *2) + (-12 (-5 *2 (-711 *4)) (-4 *4 (-1081)) (-5 *1 (-1174 *3 *4)) + (-14 *3 (-793))))) +(((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-531))))) +(((*1 *1 *2) + (-12 (-5 *2 (-663 - (-3 (|:| -3866 (-1209)) - (|:| -3397 (-663 (-3 (|:| S (-1209)) (|:| P (-976 (-560))))))))) - (-5 *1 (-1213))))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235))))) -(((*1 *1 *1) (-4 *1 (-145))) - ((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-160 *3 *2)) (-4 *2 (-435 *3)))) - ((*1 *2 *2) (-12 (-5 *1 (-161 *2)) (-4 *2 (-559))))) -(((*1 *2 *1 *1 *3) - (-12 (-4 *4 (-1081)) (-4 *5 (-817)) (-4 *3 (-872)) - (-5 *2 (-2 (|:| -2744 *1) (|:| -4170 *1))) (-4 *1 (-980 *4 *5 *3)))) - ((*1 *2 *1 *1) - (-12 (-4 *3 (-1081)) (-5 *2 (-2 (|:| -2744 *1) (|:| -4170 *1))) - (-4 *1 (-1275 *3))))) -(((*1 *2 *2 *3) (-12 (-5 *3 (-560)) (-5 *1 (-1224 *2)) (-4 *2 (-376))))) + (-2 + (|:| -3672 + (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) + (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) + (|:| |relerr| (-229)))) + (|:| -1922 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1187 (-229))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -2048 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| + "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated")))))))) + (-5 *1 (-574))))) +(((*1 *2 *3) (-12 (-5 *2 (-419 *3)) (-5 *1 (-573 *3)) (-4 *3 (-559)))) + ((*1 *2 *3) + (-12 (-4 *4 (-817)) (-4 *5 (-872)) (-4 *6 (-319)) (-5 *2 (-419 *3)) + (-5 *1 (-764 *4 *5 *6 *3)) (-4 *3 (-980 *6 *4 *5)))) + ((*1 *2 *3) + (-12 (-4 *4 (-817)) (-4 *5 (-872)) (-4 *6 (-319)) + (-4 *7 (-980 *6 *4 *5)) (-5 *2 (-419 (-1203 *7))) + (-5 *1 (-764 *4 *5 *6 *7)) (-5 *3 (-1203 *7)))) + ((*1 *2 *1) + (-12 (-4 *3 (-466)) (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) + (-5 *2 (-419 *1)) (-4 *1 (-980 *3 *4 *5)))) + ((*1 *2 *3) + (-12 (-4 *4 (-872)) (-4 *5 (-817)) (-4 *6 (-466)) (-5 *2 (-419 *3)) + (-5 *1 (-1011 *4 *5 *6 *3)) (-4 *3 (-980 *6 *5 *4)))) + ((*1 *2 *3) + (-12 (-4 *4 (-817)) (-4 *5 (-872)) (-4 *6 (-466)) + (-4 *7 (-980 *6 *4 *5)) (-5 *2 (-419 (-1203 (-421 *7)))) + (-5 *1 (-1205 *4 *5 *6 *7)) (-5 *3 (-1203 (-421 *7))))) + ((*1 *2 *1) (-12 (-5 *2 (-419 *1)) (-4 *1 (-1254)))) + ((*1 *2 *3) + (-12 (-4 *4 (-571)) (-5 *2 (-419 *3)) (-5 *1 (-1279 *4 *3)) + (-4 *3 (-13 (-1275 *4) (-571) (-10 -8 (-15 -2349 ($ $ $))))))) + ((*1 *2 *3) + (-12 (-5 *3 (-1078 *4 *5)) (-4 *4 (-13 (-871) (-319) (-149) (-1052))) + (-14 *5 (-663 (-1209))) + (-5 *2 + (-663 (-1178 *4 (-545 (-889 *6)) (-889 *6) (-802 *4 (-889 *6))))) + (-5 *1 (-1327 *4 *5 *6)) (-14 *6 (-663 (-1209)))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-793)) (-4 *1 (-387 *3 *4)) (-4 *3 (-872)) + (-4 *4 (-175)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-793)) (-4 *1 (-1322 *3 *4)) (-4 *3 (-872)) + (-4 *4 (-1081))))) +(((*1 *1) (-12 (-4 *1 (-1077 *2)) (-4 *2 (-23))))) (((*1 *1 *1) (-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-816)))) ((*1 *2 *1) (-12 (-4 *1 (-397 *3 *2)) (-4 *3 (-1081)) (-4 *2 (-1133)))) @@ -8313,8 +8271,8 @@ (-12 (-14 *3 (-663 (-1209))) (-4 *4 (-175)) (-4 *6 (-245 (-2086 *3) (-793))) (-14 *7 - (-1 (-114) (-2 (|:| -3836 *5) (|:| -3562 *6)) - (-2 (|:| -3836 *5) (|:| -3562 *6)))) + (-1 (-114) (-2 (|:| -3838 *5) (|:| -1795 *6)) + (-2 (|:| -3838 *5) (|:| -1795 *6)))) (-5 *2 (-735 *5 *6 *7)) (-5 *1 (-475 *3 *4 *5 *6 *7 *8)) (-4 *5 (-872)) (-4 *8 (-980 *4 *6 (-889 *3))))) ((*1 *2 *1) @@ -8327,118 +8285,116 @@ ((*1 *2) (-12 (-4 *1 (-418)) (-5 *2 (-949)))) ((*1 *2 *2) (-12 (-5 *2 (-949)) (-5 *1 (-721)))) ((*1 *2) (-12 (-5 *2 (-949)) (-5 *1 (-721))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-663 (-630 *5))) (-5 *3 (-1209)) (-4 *5 (-435 *4)) - (-4 *4 (-1133)) (-5 *1 (-587 *4 *5))))) -(((*1 *2 *3 *4 *5 *5 *2) - (|partial| -12 (-5 *2 (-114)) (-5 *3 (-976 *6)) (-5 *4 (-1209)) - (-5 *5 (-866 *7)) - (-4 *6 (-13 (-466) (-1070 (-560)) (-660 (-560)))) - (-4 *7 (-13 (-1235) (-29 *6))) (-5 *1 (-228 *6 *7)))) - ((*1 *2 *3 *4 *4 *2) - (|partial| -12 (-5 *2 (-114)) (-5 *3 (-1203 *6)) (-5 *4 (-866 *6)) 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(-5 *1 (-123 *2)) (-4 *2 (-872))))) +(((*1 *1) (-5 *1 (-450)))) (((*1 *2 *3) - (-12 (-5 *3 (-663 *4)) (-4 *4 (-872)) (-5 *2 (-663 (-686 *4 *5))) - (-5 *1 (-646 *4 *5 *6)) (-4 *5 (-13 (-175) (-739 (-421 (-560))))) - (-14 *6 (-949))))) + (-12 (-4 *4 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560))))))) + (-5 *2 (-663 *4)) (-5 *1 (-1160 *3 *4)) (-4 *3 (-1275 *4)))) + ((*1 *2 *3 *3 *3) + (-12 (-4 *3 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560))))))) + (-5 *2 (-663 *3)) (-5 *1 (-1160 *4 *3)) (-4 *4 (-1275 *3))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-1133)) (-4 *3 (-928 *5)) (-5 *2 (-1299 *3)) + (-5 *1 (-714 *5 *3 *6 *4)) (-4 *6 (-385 *3)) + (-4 *4 (-13 (-385 *5) (-10 -7 (-6 -4510))))))) +(((*1 *2 *3 *3) + (-12 (-5 *2 (-1187 (-663 (-560)))) (-5 *1 (-909)) + (-5 *3 (-663 (-560))))) + ((*1 *2 *3) + (-12 (-5 *2 (-1187 (-663 (-560)))) (-5 *1 (-909)) + (-5 *3 (-663 (-560)))))) +(((*1 *2 *2 *3 *4 *4) + (-12 (-5 *4 (-560)) (-4 *3 (-175)) (-4 *5 (-385 *3)) + (-4 *6 (-385 *3)) (-5 *1 (-710 *3 *5 *6 *2)) + (-4 *2 (-708 *3 *5 *6))))) (((*1 *2 *3 *4) (-12 (-5 *4 (-949)) (-4 *6 (-571)) (-5 *2 (-663 (-326 *6))) (-5 *1 (-225 *5 *6)) (-5 *3 (-326 *6)) (-4 *5 (-1081)))) @@ -9006,33 +8928,26 @@ ((*1 *2 *1) (-12 (-5 *2 (-1315 *3 *4)) (-5 *1 (-1324 *3 *4)) (-4 *3 (-872)) (-4 *4 (-1081))))) +(((*1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-1251 *3)) (-4 *3 (-1133))))) (((*1 *2 *2) - (|partial| -12 (-5 *2 (-663 (-916 *3))) (-5 *1 (-916 *3)) - (-4 *3 (-1133))))) -(((*1 *2 *3 *3 *4 *4 *4 *4 *3 *3 *3 *3 *5 *3 *6) - (-12 (-5 *3 (-560)) (-5 *5 (-711 (-229))) - (-5 *6 (-3 (|:| |fn| (-402)) (|:| |fp| (-70 APROD)))) (-5 *4 (-229)) - (-5 *2 (-1067)) (-5 *1 (-778))))) -(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) - (-5 *5 (-3 (|:| |fn| (-402)) (|:| |fp| (-61 -3969)))) - (-5 *2 (-1067)) (-5 *1 (-770))))) -(((*1 *1 *2) - (-12 (-5 *2 (-1 *3 *3 (-560))) (-4 *3 (-1081)) (-5 *1 (-99 *3)))) - ((*1 *1 *2 *2) - (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1081)) (-5 *1 (-99 *3)))) - ((*1 *1 *2) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1081)) (-5 *1 (-99 *3))))) -(((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |stiffness| (-391)) (|:| |stability| (-391)) - (|:| |expense| (-391)) (|:| |accuracy| (-391)) - (|:| |intermediateResults| (-391)))) - (-5 *2 (-1067)) (-5 *1 (-315))))) + (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1235)))))) +(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1187 (-421 *3))) (-5 *1 (-177 *3)) (-4 *3 (-319))))) +(((*1 *2 *2) + (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1034)))))) +(((*1 *1 *1 *1 *2) + (-12 (-4 *1 (-1097 *3 *4 *2)) (-4 *3 (-1081)) (-4 *4 (-817)) + (-4 *2 (-872)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817)) + (-4 *4 (-872))))) (((*1 *2 *3) (-12 (-5 *3 - (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -1912 (-663 (-229))))) + (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -1911 (-663 (-229))))) (-5 *2 (-663 (-1209))) (-5 *1 (-278)))) ((*1 *2 *3) (-12 (-5 *3 (-1203 *7)) (-4 *7 (-980 *6 *4 *5)) (-4 *4 (-817)) @@ -9054,7 +8969,7 @@ (-5 *1 (-981 *4 *5 *6 *7 *3)) (-4 *3 (-13 (-376) - (-10 -8 (-15 -2375 ($ *7)) (-15 -2327 (*7 $)) (-15 -2338 (*7 $))))))) + (-10 -8 (-15 -2375 ($ *7)) (-15 -2324 (*7 $)) (-15 -2337 (*7 $))))))) ((*1 *2 *1) (-12 (-4 *1 (-1005 *3 *4 *5)) (-4 *3 (-1081)) (-4 *4 (-816)) (-4 *5 (-872)) (-5 *2 (-663 *5)))) @@ -9064,44 +8979,35 @@ ((*1 *2 *3) (-12 (-5 *3 (-421 (-976 *4))) (-4 *4 (-571)) (-5 *2 (-663 (-1209))) (-5 *1 (-1072 *4))))) -(((*1 *1) (-5 *1 (-482)))) -(((*1 *2 *3 *3 *2 *4) - (-12 (-5 *3 (-711 *2)) (-5 *4 (-560)) - (-4 *2 (-13 (-319) (-10 -8 (-15 -3332 ((-419 $) $))))) - (-4 *5 (-1275 *2)) (-5 *1 (-513 *2 *5 *6)) (-4 *6 (-424 *2 *5))))) -(((*1 *2 *3) - (-12 (-5 *3 (-663 (-663 (-973 (-229))))) (-5 *2 (-663 (-229))) - (-5 *1 (-482))))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *2 (-1299 *4)) (-5 *3 (-1152)) (-4 *4 (-363)) - (-5 *1 (-542 *4))))) -(((*1 *2 *3 *1) - (-12 (-4 *1 (-1103 *4 *5 *6 *3)) (-4 *4 (-466)) (-4 *5 (-817)) - (-4 *6 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(-1249)) + (-4 *5 (-385 *4)) (-4 *2 (-385 *4)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-560)) (-4 *1 (-1085 *4 *5 *6 *2 *7)) (-4 *6 (-1081)) + (-4 *7 (-245 *4 *6)) (-4 *2 (-245 *5 *6))))) (((*1 *2 *3 *4 *2) (-12 (-5 *3 (-1203 (-421 (-1203 *2)))) (-5 *4 (-630 *2)) (-4 *2 (-13 (-435 *5) (-27) (-1235))) @@ -9118,81 +9024,51 @@ (-4 *6 (-1081)) (-4 *2 (-13 (-376) - (-10 -8 (-15 -2375 ($ *7)) (-15 -2327 (*7 $)) (-15 -2338 (*7 $))))) + (-10 -8 (-15 -2375 ($ *7)) (-15 -2324 (*7 $)) (-15 -2337 (*7 $))))) (-5 *1 (-981 *5 *4 *6 *7 *2)) (-4 *7 (-980 *6 *5 *4)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-421 (-1203 (-421 (-976 *5))))) (-5 *4 (-1209)) (-5 *2 (-421 (-976 *5))) (-5 *1 (-1072 *5)) (-4 *5 (-571))))) +(((*1 *2 *3 *4 *3 *3 *4 *4 *4 *5) + (-12 (-5 *3 (-229)) (-5 *4 (-560)) + (-5 *5 (-3 (|:| |fn| (-402)) (|:| |fp| (-61 -3968)))) + (-5 *2 (-1067)) (-5 *1 (-770))))) (((*1 *1 *1 *1 *2) (-12 (-5 *2 (-560)) (-4 *1 (-673 *3)) (-4 *3 (-1249)))) ((*1 *1 *2 *1 *3) (-12 (-5 *3 (-560)) (-4 *1 (-673 *2)) (-4 *2 (-1249))))) -(((*1 *2 *2 *2) - (-12 - (-5 *2 - (-2 (|:| -4238 (-711 *3)) (|:| |basisDen| *3) - (|:| |basisInv| (-711 *3)))) - (-4 *3 (-13 (-319) (-10 -8 (-15 -3332 ((-419 $) $))))) - (-4 *4 (-1275 *3)) (-5 *1 (-513 *3 *4 *5)) (-4 *5 (-424 *3 *4))))) -(((*1 *2 *3) (-12 (-5 *3 (-1299 *1)) (-4 *1 (-380 *2)) (-4 *2 (-175)))) - ((*1 *2) (-12 (-4 *2 (-175)) (-5 *1 (-431 *3 *2)) (-4 *3 (-432 *2)))) - ((*1 *2) (-12 (-4 *1 (-432 *2)) (-4 *2 (-175))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-793)) (-5 *4 (-1299 *2)) (-4 *5 (-319)) - (-4 *6 (-1023 *5)) (-4 *2 (-13 (-424 *6 *7) (-1070 *6))) - (-5 *1 (-427 *5 *6 *7 *2)) (-4 *7 (-1275 *6))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-407)))) - ((*1 *2 *1 *2) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-1229))))) -(((*1 *2 *3 *3 *3 *4) - (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780))))) +(((*1 *1 *2 *3) + (-12 (-5 *1 (-443 *3 *2)) (-4 *3 (-13 (-175) (-38 (-421 (-560))))) + (-4 *2 (-13 (-872) (-21)))))) +(((*1 *2 *3 *3) + (-12 (-5 *2 (-1 (-973 *3) (-973 *3))) (-5 *1 (-179 *3)) + (-4 *3 (-13 (-376) (-1235) (-1034)))))) +(((*1 *2 *1) + (-12 (-5 *2 (-713 (-898 (-996 *3) (-996 *3)))) (-5 *1 (-996 *3)) + (-4 *3 (-1133))))) (((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |xinit| (-229)) (|:| |xend| (-229)) - (|:| |fn| (-1299 (-326 (-229)))) (|:| |yinit| (-663 (-229))) - (|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229))) - (|:| |abserr| (-229)) (|:| |relerr| (-229)))) - (-5 *2 (-391)) (-5 *1 (-208))))) -(((*1 *2) - (-12 (-4 *3 (-571)) (-5 *2 (-663 *4)) (-5 *1 (-43 *3 *4)) - (-4 *4 (-432 *3))))) -(((*1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-888))))) -(((*1 *1 *2) - (-12 - (-5 *2 - (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -1843 (-229)) - (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) - (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) - (-5 *1 (-270)))) - ((*1 *2 *3 *2) - (-12 - (-5 *2 - (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -1843 (-229)) - (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) - (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) - (-5 *3 (-663 (-270))) (-5 *1 (-271)))) - ((*1 *2 *1 *3 *3 *3) - (-12 (-5 *3 (-391)) (-5 *2 (-1305)) (-5 *1 (-1303)))) - ((*1 *2 *1 *3 *3) - (-12 (-5 *3 (-391)) (-5 *2 (-1305)) (-5 *1 (-1303)))) - ((*1 *2 *1 *3 *3 *4 *4 *4) - (-12 (-5 *3 (-560)) (-5 *4 (-391)) (-5 *2 (-1305)) (-5 *1 (-1303)))) - ((*1 *2 *1 *3) - (-12 - (-5 *3 - (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -1843 (-229)) - (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) - (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) - (-5 *2 (-1305)) (-5 *1 (-1303)))) + (-12 (-5 *3 (-949)) (-5 *2 (-1211 (-421 (-560)))) (-5 *1 (-193)))) ((*1 *2 *1) - (-12 - (-5 *2 - (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -1843 (-229)) - (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229)) - (|:| |deltaX| (-229)) (|:| |deltaY| (-229)))) - (-5 *1 (-1303)))) - ((*1 *2 *1 *3 *3 *3 *3 *3) - (-12 (-5 *3 (-391)) (-5 *2 (-1305)) (-5 *1 (-1303))))) + 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(-14 *7 - (-1 (-114) (-2 (|:| -3836 *5) (|:| -3562 *6)) - (-2 (|:| -3836 *5) (|:| -3562 *6)))) + (-1 (-114) (-2 (|:| -3838 *5) (|:| -1795 *6)) + (-2 (|:| -3838 *5) (|:| -1795 *6)))) (-14 *4 (-663 (-1209))) (-4 *2 (-175)) (-5 *1 (-475 *4 *2 *5 *6 *7 *8)) (-4 *8 (-980 *2 *6 (-889 *4))))) ((*1 *1 *2 *3) @@ -9233,145 +9109,227 @@ ((*1 *1 *1 *2 *3) (-12 (-4 *1 (-1005 *4 *3 *2)) (-4 *4 (-1081)) (-4 *3 (-816)) (-4 *2 (-872))))) -(((*1 *2 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303)))) - ((*1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303))))) +(((*1 *1) (-5 *1 (-592)))) +(((*1 *2 *2 *3) + (-12 (-4 *4 (-817)) + (-4 *3 (-13 (-872) (-10 -8 (-15 -2312 ((-1209) $))))) (-4 *5 (-571)) + (-5 *1 (-754 *4 *3 *5 *2)) (-4 *2 (-980 (-421 (-976 *5)) *4 *3)))) + ((*1 *2 *2 *3) + (-12 (-4 *4 (-1081)) (-4 *5 (-817)) + (-4 *3 + (-13 (-872) + (-10 -8 (-15 -2312 ((-1209) $)) + (-15 -1989 ((-3 $ "failed") (-1209)))))) + (-5 *1 (-1016 *4 *5 *3 *2)) (-4 *2 (-980 (-976 *4) *5 *3)))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-663 *6)) + (-4 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+ (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -2048 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated"))))) + (-5 *2 (-1067)) (-5 *1 (-315))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-1209))))) +(((*1 *2 *3 *3 *3) + (|partial| -12 + (-4 *4 (-13 (-149) (-27) (-1070 (-560)) (-1070 (-421 (-560))))) + (-4 *5 (-1275 *4)) (-5 *2 (-1203 (-421 *5))) (-5 *1 (-634 *4 *5)) + (-5 *3 (-421 *5)))) + ((*1 *2 *3 *3 *3 *4) + (|partial| -12 (-5 *4 (-1 (-419 *6) *6)) (-4 *6 (-1275 *5)) + (-4 *5 (-13 (-149) (-27) (-1070 (-560)) (-1070 (-421 (-560))))) + (-5 *2 (-1203 (-421 *6))) (-5 *1 (-634 *5 *6)) (-5 *3 (-421 *6))))) +(((*1 *2 *3 *4 *4 *3 *3 *5) + (|partial| -12 (-5 *4 (-630 *3)) (-5 *5 (-1203 *3)) + (-4 *3 (-13 (-435 *6) (-27) (-1235))) + (-4 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(-4 *1 (-479 *2 *3)) (-4 *2 (-175)) (-4 *3 (-23)))) ((*1 *1) (-5 *1 (-549))) ((*1 *1) (-4 *1 (-744))) ((*1 *1) (-4 *1 (-748))) @@ -11397,13 +11294,14 @@ ((*1 *2 *1 *3) (-12 (-4 *4 (-1081)) (-4 *5 (-817)) (-4 *3 (-872)) (-4 *6 (-1097 *4 *5 *3)) - (-5 *2 (-2 (|:| |under| *1) (|:| -4313 *1) (|:| |upper| *1))) + (-5 *2 (-2 (|:| |under| *1) (|:| -3081 *1) (|:| |upper| *1))) (-4 *1 (-1008 *4 *5 *3 *6))))) -(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847))))) -(((*1 *2 *2) - (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1235)))))) -(((*1 *1 *1 *1 *1) (-4 *1 (-559)))) +(((*1 *2 *3) (-12 (-5 *3 (-1209)) (-5 *2 (-1305)) (-5 *1 (-1212))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1203 (-560))) (-5 *2 (-560)) (-5 *1 (-972))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-571)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -2289 *4))) + (-5 *1 (-1001 *4 *3)) (-4 *3 (-1275 *4))))) (((*1 *1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1 *1) (|partial| -5 *1 (-136))) ((*1 *1 *1 *1) @@ -11411,7 +11309,7 @@ (-4 *2 (-13 (-872) (-10 -8 (-15 -2481 ((-1191) $ (-1209))) (-15 -1696 ((-1305) $)) - (-15 -4265 ((-1305) $))))))) + (-15 -2346 ((-1305) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-305 *2)) (-4 *2 (-21)) (-4 *2 (-1249)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-21)) (-4 *2 (-1249)))) ((*1 *1 *1 *1) @@ -11431,69 +11329,57 @@ ((*1 *2 *2 *2) (-12 (-5 *2 (-973 (-229))) (-5 *1 (-1246)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1298 *2)) (-4 *2 (-1249)) (-4 *2 (-21)))) ((*1 *1 *1) (-12 (-4 *1 (-1298 *2)) (-4 *2 (-1249)) (-4 *2 (-21))))) -(((*1 *2 *1) - (-12 (-4 *3 (-13 (-376) (-149))) - (-5 *2 (-663 (-2 (|:| -3562 (-793)) (|:| -4444 *4) (|:| |num| *4)))) - (-5 *1 (-413 *3 *4)) (-4 *4 (-1275 *3))))) -(((*1 *2 *2 *3) - (-12 (-5 *2 (-663 (-663 (-973 (-229))))) (-5 *3 (-663 (-899))) - (-5 *1 (-482))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-376) (-1070 (-421 *2)))) (-5 *2 (-560)) - (-5 *1 (-117 *4 *3)) (-4 *3 (-1275 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-407)))) - ((*1 *2 *1) (-12 (-5 *2 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*1 *1 *2 *2) + (-12 (-4 *1 (-1278 *3 *2)) (-4 *3 (-1081)) (-4 *2 (-816)))) + ((*1 *1 *1 *2) + (-12 (-4 *1 (-1278 *3 *2)) (-4 *3 (-1081)) (-4 *2 (-816))))) (((*1 *1 *1 *1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-159))) ((*1 *1 *1 *1) (-12 (-5 *1 (-217 *2)) (-4 *2 (-13 (-872) (-10 -8 (-15 -2481 ((-1191) $ (-1209))) (-15 -1696 ((-1305) $)) - (-15 -4265 ((-1305) $))))))) + (-15 -2346 ((-1305) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-305 *2)) (-4 *2 (-25)) (-4 *2 (-1249)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-25)) (-4 *2 (-1249)))) ((*1 *1 *2 *1) @@ -11516,40 +11402,48 @@ (-12 (-5 *2 (-1187 *3)) (-4 *3 (-1081)) (-5 *1 (-1193 *3)))) ((*1 *2 *2 *2) (-12 (-5 *2 (-973 (-229))) (-5 *1 (-1246)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1298 *2)) (-4 *2 (-1249)) (-4 *2 (-25))))) -(((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-793)) (-4 *5 (-571)) - (-5 *2 - (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3))) - (-5 *1 (-1001 *5 *3)) (-4 *3 (-1275 *5))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-376)) (-5 *2 (-2 (|:| -2899 *3) (|:| -1803 *3))) + (-5 *1 (-788 *3 *4)) (-4 *3 (-730 *4)))) + ((*1 *2 *1 *1) + (-12 (-4 *3 (-376)) (-4 *3 (-1081)) + (-5 *2 (-2 (|:| -2899 *1) (|:| -1803 *1))) (-4 *1 (-877 *3)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-99 *5)) (-4 *5 (-376)) (-4 *5 (-1081)) + (-5 *2 (-2 (|:| -2899 *3) (|:| -1803 *3))) (-5 *1 (-878 *5 *3)) + (-4 *3 (-877 *5))))) +(((*1 *2 *3 *4 *3 *4 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067)) + (-5 *1 (-778))))) +(((*1 *2 *3) + (-12 (-5 *3 (-663 *2)) (-4 *2 (-435 *4)) (-5 *1 (-160 *4 *2)) + (-4 *4 (-571))))) +(((*1 *2 *1 *3) + (-12 (-5 *3 (-973 *5)) (-4 *5 (-1081)) (-5 *2 (-793)) + (-5 *1 (-1197 *4 *5)) (-14 *4 (-949)))) + ((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-663 (-793))) (-5 *3 (-793)) (-5 *1 (-1197 *4 *5)) + (-14 *4 (-949)) (-4 *5 (-1081)))) + ((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-663 (-793))) (-5 *3 (-973 *5)) (-4 *5 (-1081)) + (-5 *1 (-1197 *4 *5)) (-14 *4 (-949))))) +(((*1 *2 *2) + (-12 (-5 *2 (-973 *3)) (-4 *3 (-13 (-376) (-1235) 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- (-12 (-5 *3 (-793)) (-4 *4 (-363)) (-5 *1 (-220 *4 *2)) - (-4 *2 (-1275 *4))))) + (-12 (-5 *3 (-793)) (-5 *1 (-881 *2)) (-4 *2 (-38 (-421 (-560)))) + (-4 *2 (-175))))) +(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3) + (-12 (-5 *3 (-560)) (-5 *4 (-114)) (-5 *5 (-711 (-229))) + (-5 *2 (-1067)) (-5 *1 (-777))))) (((*1 *2 *1 *3) (-12 (-5 *3 (|[\|\|]| -2183)) (-5 *2 (-114)) (-5 *1 (-636)))) ((*1 *2 *1 *3) - (-12 (-5 *3 (|[\|\|]| -4052)) (-5 *2 (-114)) (-5 *1 (-636)))) + (-12 (-5 *3 (|[\|\|]| -4054)) (-5 *2 (-114)) (-5 *1 (-636)))) ((*1 *2 *1 *3) - (-12 (-5 *3 (|[\|\|]| -2363)) (-5 *2 (-114)) (-5 *1 (-636)))) + (-12 (-5 *3 (|[\|\|]| -2364)) (-5 *2 (-114)) (-5 *1 (-636)))) ((*1 *2 *1 *3) (-12 (-5 *3 (|[\|\|]| -4124)) (-5 *2 (-114)) (-5 *1 (-713 *4)) (-4 *4 (-632 (-888))))) @@ -11634,50 +11528,40 @@ (-12 (-5 *3 (|[\|\|]| (-229))) (-5 *2 (-114)) (-5 *1 (-1214)))) ((*1 *2 *1 *3) (-12 (-5 *3 (|[\|\|]| (-560))) (-5 *2 (-114)) (-5 *1 (-1214))))) +(((*1 *2 *3) + (-12 (-5 *3 (-949)) (-5 *2 (-1211 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*1 *2) - (|partial| -12 (-5 *2 (-1315 *3 *4)) (-4 *3 (-872)) (-4 *4 (-175)) - (-5 *1 (-686 *3 *4)))) + (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5)) (-5 *2 (-663 (-663 *5))))) ((*1 *2 *1) - (|partial| -12 (-5 *2 (-686 *3 *4)) (-5 *1 (-1320 *3 *4)) - (-4 *3 (-872)) (-4 *4 (-175))))) -(((*1 *2 *3 *3 *1) - (-12 (-5 *3 (-520)) (-5 *2 (-713 (-1135))) (-5 *1 (-303))))) -(((*1 *2 *2) - (-12 (-5 *2 (-1187 *3)) (-4 *3 (-1081)) (-5 *1 (-1193 *3)))) - ((*1 *1 *1) - (-12 (-5 *1 (-1289 *2 *3 *4)) (-4 *2 (-1081)) (-14 *3 (-1209)) - (-14 *4 *2)))) + (-12 (-5 *2 (-663 (-663 *3))) (-5 *1 (-1222 *3)) (-4 *3 (-1133))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-3 (-114) "failed")) (-4 *3 (-466)) (-4 *4 (-872)) + (-4 *5 (-817)) (-5 *1 (-1018 *3 *4 *5 *6)) (-4 *6 (-980 *3 *5 *4))))) +(((*1 *2) (-12 (-5 *2 (-1305)) (-5 *1 (-97))))) (((*1 *1 *2) (-12 (-5 *2 (-663 *3)) (-4 *3 (-1249)) (-4 *1 (-153 *3)))) ((*1 *1 *2) (-12 - (-5 *2 (-663 (-2 (|:| -3562 (-793)) (|:| -4444 *4) (|:| |num| *4)))) + (-5 *2 (-663 (-2 (|:| -1795 (-793)) (|:| -4444 *4) (|:| |num| *4)))) (-4 *4 (-1275 *3)) (-4 *3 (-13 (-376) (-149))) (-5 *1 (-413 *3 *4)))) ((*1 *1 *2 *3 *4) (-12 (-5 *2 (-3 (|:| |fst| (-448)) (|:| -3103 "void"))) @@ -11703,8 +11587,8 @@ ((*1 *1 *2 *3) (-12 (-5 *1 (-735 *2 *3 *4)) (-4 *2 (-872)) (-4 *3 (-1133)) (-14 *4 - (-1 (-114) (-2 (|:| -3836 *2) (|:| -3562 *3)) - (-2 (|:| -3836 *2) (|:| -3562 *3)))))) + (-1 (-114) (-2 (|:| -3838 *2) (|:| -1795 *3)) + (-2 (|:| -3838 *2) (|:| -1795 *3)))))) ((*1 *1 *2 *3) (-12 (-5 *2 (-520)) (-5 *3 (-1147)) (-5 *1 (-862)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-898 *2 *3)) (-4 *2 (-1249)) (-4 *3 (-1249)))) @@ -11743,97 +11627,94 @@ (-4 *4 (-13 (-1133) (-34))) (-5 *1 (-1173 *3 *4)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-1198 *2 *3)) (-4 *2 (-1133)) (-4 *3 (-1133))))) +(((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-694 *3)) (-4 *3 (-872)))) + ((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-699 *3)) (-4 *3 (-872)))) + ((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-843 *3)) (-4 *3 (-872))))) (((*1 *1 *1 *1) 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'XC) (-721)))) + (-12 (-5 *2 (-1299 (-352 (-2387) (-2387 'XC) (-721)))) (-5 *1 (-79 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-1299 (-352 (-2386) (-2386 'X) (-721)))) + (-12 (-5 *2 (-1299 (-352 (-2387) (-2387 'X) (-721)))) (-5 *1 (-80 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-1299 (-352 (-2386 'X) (-2386 '-3718) (-721)))) + (-12 (-5 *2 (-1299 (-352 (-2387 'X) (-2387 '-3718) (-721)))) (-5 *1 (-82 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-1299 (-352 (-2386 'X '-3718) (-2386) (-721)))) + (-12 (-5 *2 (-1299 (-352 (-2387 'X '-3718) (-2387) (-721)))) (-5 *1 (-83 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-711 (-352 (-2386 'X '-3718) (-2386) (-721)))) + (-12 (-5 *2 (-711 (-352 (-2387 'X '-3718) (-2387) (-721)))) (-5 *1 (-84 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-711 (-352 (-2386 'X) (-2386) (-721)))) (-5 *1 (-85 *3)) + (-12 (-5 *2 (-711 (-352 (-2387 'X) (-2387) (-721)))) (-5 *1 (-85 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-1299 (-352 (-2386 'X) (-2386) (-721)))) + (-12 (-5 *2 (-1299 (-352 (-2387 'X) (-2387) (-721)))) (-5 *1 (-86 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-711 (-352 (-2386 'XL 'XR 'ELAM) (-2386) (-721)))) + (-12 (-5 *2 (-711 (-352 (-2387 'XL 'XR 'ELAM) (-2387) (-721)))) (-5 *1 (-88 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) - (-12 (-5 *2 (-352 (-2386 'X) (-2386 '-3718) (-721))) (-5 *1 (-89 *3)) + (-12 (-5 *2 (-352 (-2387 'X) (-2387 '-3718) (-721))) (-5 *1 (-89 *3)) (-14 *3 (-1209)))) ((*1 *1 *2) (-12 (-5 *2 (-663 (-137 *3 *4 *5))) (-5 *1 (-137 *3 *4 *5)) @@ -12074,25 +11955,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) - (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) + (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (|:| |mdnia| (-2 (|:| |fn| (-326 (-229))) - (|:| -1623 (-663 (-1121 (-866 (-229))))) + (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))))) (-5 *1 (-791)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-326 (-229))) - (|:| -1623 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) + (|:| -2048 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *1 (-791)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) - (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) + (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *1 (-791)))) ((*1 *2 *3) (-12 (-5 *2 (-795)) (-5 *1 (-796 *3)) (-4 *3 (-1249)))) @@ -12110,23 +11991,23 @@ (-5 *2 (-3 (|:| |noa| - (-2 (|:| |fn| (-326 (-229))) (|:| -1912 (-663 (-229))) + (-2 (|:| |fn| (-326 (-229))) (|:| -1911 (-663 (-229))) (|:| |lb| (-663 (-866 (-229)))) (|:| |cf| (-663 (-326 (-229)))) (|:| |ub| (-663 (-866 (-229)))))) (|:| |lsa| (-2 (|:| |lfn| (-663 (-326 (-229)))) - (|:| -1912 (-663 (-229))))))) + (|:| -1911 (-663 (-229))))))) (-5 *1 (-865)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -1912 (-663 (-229))))) + (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -1911 (-663 (-229))))) (-5 *1 (-865)))) ((*1 *1 *2) (-12 (-5 *2 - (-2 (|:| |fn| (-326 (-229))) (|:| -1912 (-663 (-229))) + (-2 (|:| |fn| (-326 (-229))) (|:| -1911 (-663 (-229))) (|:| |lb| (-663 (-866 (-229)))) (|:| |cf| (-663 (-326 (-229)))) (|:| |ub| (-663 (-866 (-229)))))) (-5 *1 (-865)))) @@ -12227,54 +12108,47 @@ ((*1 *1 *2) (-12 (-5 *2 (-686 *3 *4)) (-4 *3 (-872)) (-4 *4 (-175)) (-5 *1 (-1320 *3 *4))))) -(((*1 *2 *3 *4 *4 *2 *2 *2 *2) - (-12 (-5 *2 (-560)) - (-5 *3 - (-2 (|:| |lcmfij| *6) (|:| |totdeg| (-793)) (|:| |poli| *4) - (|:| |polj| *4))) - (-4 *6 (-817)) (-4 *4 (-980 *5 *6 *7)) (-4 *5 (-466)) (-4 *7 (-872)) - (-5 *1 (-464 *5 *6 *7 *4))))) +(((*1 *2 *1) (-12 (-4 *1 (-1027 *2)) (-4 *2 (-1249))))) (((*1 *1 *1 *1) (-4 *1 (-113))) ((*1 *1 *1 *1) (-5 *1 (-888)))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-114)) (-4 *6 (-13 (-466) (-1070 (-560)) (-660 (-560)))) - (-4 *3 (-13 (-27) (-1235) (-435 *6) (-10 -8 (-15 -2375 ($ *7))))) - (-4 *7 (-871)) - (-4 *8 - (-13 (-1278 *3 *7) (-376) (-1235) - (-10 -8 (-15 -1932 ($ $)) (-15 -4116 ($ $))))) - (-5 *2 - (-3 (|:| |%series| *8) - (|:| |%problem| (-2 (|:| |func| (-1191)) (|:| |prob| (-1191)))))) - (-5 *1 (-438 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1191)) (-4 *9 (-1015 *8)) - (-14 *10 (-1209))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-466) (-1070 (-560)))) (-4 *3 (-571)) - (-5 *1 (-41 *3 *2)) (-4 *2 (-435 *3)) - (-4 *2 - (-13 (-376) (-310) - (-10 -8 (-15 -2327 ((-1157 *3 (-630 $)) $)) - (-15 -2338 ((-1157 *3 (-630 $)) $)) - (-15 -2375 ($ (-1157 *3 (-630 $)))))))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-419 *5)) (-4 *5 (-571)) - (-5 *2 - (-2 (|:| -3562 (-793)) (|:| -3858 *5) (|:| |radicand| (-663 *5)))) - (-5 *1 (-332 *5)) (-5 *4 (-793)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-1034)) (-5 *2 (-560))))) -(((*1 *2) - (-12 (-5 *2 (-421 (-976 *3))) (-5 *1 (-467 *3 *4 *5 *6)) - (-4 *3 (-571)) (-4 *3 (-175)) (-14 *4 (-949)) - (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3)))))) + (|partial| -12 (-5 *2 (-421 *4)) (-4 *4 (-1275 *3)) + 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(-817)) + (-4 *8 (-872)) (-4 *9 (-1097 *6 *7 *8)) + (-5 *2 + (-2 (|:| -3688 (-663 *9)) (|:| -2514 *4) (|:| |ineq| (-663 *9)))) + (-5 *1 (-1020 *6 *7 *8 *9 *4)) (-5 *3 (-663 *9)) + (-4 *4 (-1103 *6 *7 *8 *9)))) + ((*1 *2 *3 *4 *3 *5 *5 *5 *5 *5) + (|partial| -12 (-5 *5 (-114)) (-4 *6 (-466)) (-4 *7 (-817)) + (-4 *8 (-872)) (-4 *9 (-1097 *6 *7 *8)) + (-5 *2 + (-2 (|:| -3688 (-663 *9)) (|:| -2514 *4) (|:| |ineq| (-663 *9)))) + (-5 *1 (-1139 *6 *7 *8 *9 *4)) (-5 *3 (-663 *9)) + (-4 *4 (-1103 *6 *7 *8 *9))))) +(((*1 *2 *3) + (-12 (-5 *2 (-630 *4)) (-5 *1 (-631 *3 *4)) (-4 *3 (-1133)) + (-4 *4 (-1133))))) (((*1 *2) (-12 (-4 *2 (-13 (-435 *3) (-1034))) (-5 *1 (-287 *3 *2)) (-4 *3 (-571)))) @@ -12282,56 +12156,67 @@ (-12 (-5 *1 (-352 *2 *3 *4)) (-14 *2 (-663 (-1209))) (-14 *3 (-663 (-1209))) (-4 *4 (-401)))) ((*1 *1) (-5 *1 (-491))) ((*1 *1) (-4 *1 (-1235)))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *3 (-1 (-114) *6 *6)) (-4 *6 (-872)) (-5 *4 (-663 *6)) - (-5 *2 (-2 (|:| |fs| (-114)) (|:| |sd| *4) (|:| |td| (-663 *4)))) - (-5 *1 (-1220 *6)) (-5 *5 (-663 *4))))) (((*1 *1) (-4 *1 (-999)))) -(((*1 *2 *1 *1) (-12 (-5 *2 (-114)) (-5 *1 (-509))))) -(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-55)))) - ((*1 *2 *1) - (-12 (-4 *3 (-376)) (-4 *4 (-817)) (-4 *5 (-872)) (-5 *2 (-114)) - (-5 *1 (-518 *3 *4 *5 *6)) (-4 *6 (-980 *3 *4 *5)))) - ((*1 *2 *1) (-12 (-4 *1 (-744)) (-5 *2 (-114)))) - ((*1 *2 *1) (-12 (-4 *1 (-748)) (-5 *2 (-114))))) -(((*1 *2 *2 *3) (-12 (-5 *2 (-1167)) (-5 *3 (-303)) (-5 *1 (-170))))) +(((*1 *2 *2 *2 *2 *2 *3) + (-12 (-5 *2 (-711 *4)) (-5 *3 (-793)) (-4 *4 (-1081)) + (-5 *1 (-712 *4))))) +(((*1 *2 *2 *3 *4) + (-12 (-5 *3 (-663 (-630 *2))) (-5 *4 (-663 (-1209))) + (-4 *2 (-13 (-435 (-171 *5)) (-1034) (-1235))) (-4 *5 (-571)) + (-5 *1 (-614 *5 *6 *2)) (-4 *6 (-13 (-435 *5) (-1034) (-1235)))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-1 *6 *5 *4)) (-4 *5 (-1133)) (-4 *4 (-1133)) + (-4 *6 (-1133)) (-5 *2 (-1 *6 *5)) (-5 *1 (-706 *5 *4 *6))))) +(((*1 *1 *1) + (-12 (-4 *2 (-376)) (-4 *3 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(-13 (-376) (-1235))))) + ((*1 *1 *1 *2) (-12 (-5 *1 (-740 *2)) (-4 *2 (-376)))) + ((*1 *1 *2) (-12 (-5 *1 (-740 *2)) (-4 *2 (-376)))) + ((*1 *2 *1 *3 *4 *4) + (-12 (-5 *3 (-949)) (-5 *4 (-391)) (-5 *2 (-1305)) (-5 *1 (-1302))))) +(((*1 *2 *1) (-12 (-5 *2 (-560)) (-5 *1 (-847))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-391)) (-5 *2 (-1305)) (-5 *1 (-1303))))) (((*1 *2 *1) (-12 (-5 *2 (-1157 (-560) (-630 (-48)))) (-5 *1 (-48)))) ((*1 *2 *1) (-12 (-4 *3 (-1023 *2)) (-4 *4 (-1275 *3)) (-4 *2 (-319)) @@ -12409,32 +12301,78 @@ (-12 (-4 *4 (-175)) (-4 *2 (|SubsetCategory| (-748) *4)) (-5 *1 (-674 *3 *4 *2)) (-4 *3 (-739 *4)))) ((*1 *2 *1) (-12 (-4 *1 (-1023 *2)) (-4 *2 (-571))))) -(((*1 *2 *3 *4 *4 *4 *3 *4 *3) - (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067)) - (-5 *1 (-773))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-663 *2)) (-4 *2 (-1249))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-1 *7 *7)) (-4 *7 (-1275 *6)) - (-4 *6 (-13 (-27) (-435 *5))) (-4 *5 (-13 (-571) (-1070 (-560)))) - (-4 *8 (-1275 (-421 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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| (-1187 (-229))) - (|:| |notEvaluated| - "Internal singularities not yet evaluated"))) - (|:| -1623 - (-3 (|:| |finite| "The range is finite") - (|:| |lowerInfinite| - "The bottom of range is infinite") - (|:| |upperInfinite| "The top of range is infinite") - (|:| |bothInfinite| - "Both top and bottom points are infinite") - (|:| |notEvaluated| "Range not yet evaluated"))))))) - (-5 *1 (-574)))) - ((*1 *1 *2 *1 *3) - (-12 (-5 *3 (-793)) (-4 *1 (-717 *2)) (-4 *2 (-1133)))) - ((*1 *1 *2) - (-12 - (-5 *2 - (-2 - (|:| -3672 - (-2 (|:| |xinit| (-229)) (|:| |xend| (-229)) - (|:| |fn| (-1299 (-326 (-229)))) (|:| |yinit| (-663 (-229))) - (|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229))) - (|:| |abserr| (-229)) (|:| |relerr| (-229)))) - (|:| -1922 - (-2 (|:| |stiffness| (-391)) (|:| |stability| (-391)) - (|:| |expense| (-391)) (|:| |accuracy| (-391)) - (|:| |intermediateResults| (-391)))))) - (-5 *1 (-827)))) - ((*1 *2 *3 *4) - (-12 (-5 *2 (-1305)) (-5 *1 (-1227 *3 *4)) (-4 *3 (-1133)) - (-4 *4 (-1133))))) -(((*1 *2 *2) - (-12 (-5 *2 (-973 *3)) (-4 *3 (-13 (-376) (-1235) (-1034))) - (-5 *1 (-179 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-251 *2)) (-4 *2 (-1249)))) - ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-1128)))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-1244 *3 *4 *5 *2)) (-4 *3 (-571)) - (-4 *4 (-817)) (-4 *5 (-872)) (-4 *2 (-1097 *3 *4 *5)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-793)) (-4 *1 (-1288 *3)) (-4 *3 (-1249)))) - ((*1 *2 *1) (-12 (-4 *1 (-1288 *2)) (-4 *2 (-1249))))) (((*1 *2 *3) (-12 (-4 *4 (-385 *2)) (-4 *5 (-385 *2)) (-4 *2 (-376)) (-5 *1 (-535 *2 *4 *5 *3)) (-4 *3 (-708 *2 *4 *5)))) @@ -14483,30 +14271,53 @@ ((*1 *2 *1) (-12 (-4 *1 (-1155 *3 *2 *4 *5)) (-4 *4 (-245 *3 *2)) (-4 *5 (-245 *3 *2)) (|has| *2 (-6 (-4512 "*"))) (-4 *2 (-1081))))) -(((*1 *2 *1) - (-12 (-5 *2 (-713 (-996 *3))) (-5 *1 (-996 *3)) (-4 *3 (-1133))))) -(((*1 *2 *2) (-12 (-5 *2 (-326 (-229))) (-5 *1 (-278))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-520)) (-5 *1 (-115)))) - ((*1 *1 *1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-115))))) +(((*1 *1) (-5 *1 (-146))) ((*1 *1 *1) (-5 *1 (-888)))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-1 (-114) *4 *4)) (-4 *4 (-1249)) (-5 *1 (-388 *4 *2)) + (-4 *2 (-13 (-385 *4) (-10 -7 (-6 -4511))))))) (((*1 *2 *2 *3) - (-12 (-4 *4 (-817)) - (-4 *3 (-13 (-872) (-10 -8 (-15 -2312 ((-1209) $))))) (-4 *5 (-571)) - (-5 *1 (-754 *4 *3 *5 *2)) (-4 *2 (-980 (-421 (-976 *5)) *4 *3)))) - ((*1 *2 *2 *3) - (-12 (-4 *4 (-1081)) (-4 *5 (-817)) - (-4 *3 - (-13 (-872) - (-10 -8 (-15 -2312 ((-1209) $)) - (-15 -1989 ((-3 $ "failed") (-1209)))))) - (-5 *1 (-1016 *4 *5 *3 *2)) (-4 *2 (-980 (-976 *4) *5 *3)))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-663 *6)) - (-4 *6 - (-13 (-872) - (-10 -8 (-15 -2312 ((-1209) $)) - (-15 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(-239)) (-5 *2 (-793)))) ((*1 *1 *1 *2 *3) @@ -14534,34 +14345,27 @@ (-12 (-5 *2 (-663 *3)) (-4 *1 (-930 *3)) (-4 *3 (-1133)))) ((*1 *1 *1 *2 *1) (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-1275 *3)) (-4 *3 (-1081))))) -(((*1 *2 *2) - (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2)) - (-4 *2 (-13 (-435 *3) (-1235)))))) -(((*1 *1 *1 *2 *2) - (-12 (-5 *2 (-560)) (-4 *1 (-708 *3 *4 *5)) (-4 *3 (-1081)) - (-4 *4 (-385 *3)) (-4 *5 (-385 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-663 *3)) (-4 *3 (-871)) (-5 *1 (-316 *3))))) -(((*1 *2 *2) - (-12 (-5 *2 (-114)) (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560)))))) +(((*1 *1 *1) + (-12 (-4 *1 (-1319 *2 *3)) (-4 *2 (-872)) (-4 *3 (-1081)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1323 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-870))))) +(((*1 *2 *1 *1) (-12 (-4 *1 (-571)) (-5 *2 (-114))))) (((*1 *2 *3) - (-12 (-5 *3 (-663 (-560))) (-5 *2 (-935 (-560))) (-5 *1 (-947)))) - ((*1 *2) (-12 (-5 *2 (-935 (-560))) (-5 *1 (-947))))) -(((*1 *2 *3) (-12 (-5 *3 (-1299 *1)) (-4 *1 (-380 *2)) (-4 *2 (-175)))) - ((*1 *2) (-12 (-4 *2 (-175)) (-5 *1 (-431 *3 *2)) (-4 *3 (-432 *2)))) - ((*1 *2) (-12 (-4 *1 (-432 *2)) (-4 *2 (-175))))) -(((*1 *2 *3 *1) - (-12 (-5 *3 (-1209)) - (-5 *2 (-3 (|:| |fst| (-448)) (|:| -3103 "void"))) (-5 *1 (-1212))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-376)) (-4 *7 (-1275 *5)) (-4 *4 (-746 *5 *7)) - (-5 *2 (-2 (|:| -4451 (-711 *6)) (|:| |vec| (-1299 *5)))) - (-5 *1 (-835 *5 *6 *7 *4 *3)) (-4 *6 (-680 *5)) (-4 *3 (-680 *4))))) + (-12 (-4 *4 (-571)) (-5 *2 (-793)) (-5 *1 (-43 *4 *3)) + (-4 *3 (-432 *4))))) +(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-1266 *3)) (-4 *3 (-1249))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5) + (-12 (-5 *3 (-1 (-391) (-391))) (-5 *4 (-391)) + (-5 *2 + (-2 (|:| -3787 *4) (|:| -3802 *4) (|:| |totalpts| (-560)) + (|:| |success| (-114)))) + (-5 *1 (-811)) (-5 *5 (-560))))) (((*1 *1 *1 *1) (-5 *1 (-888)))) (((*1 *2 *3) (-12 (-5 *3 (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) - (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) + (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) (-5 *2 (-2 @@ -14579,7 +14383,7 @@ (-3 (|:| |str| (-1187 (-229))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -1623 + (|:| -2048 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") @@ -14587,46 +14391,23 @@ "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-574))))) -(((*1 *1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-270)))) - ((*1 *2 *3 *2) - (-12 (-5 *2 (-114)) (-5 *3 (-663 (-270))) (-5 *1 (-271)))) - ((*1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-481)))) - ((*1 *2 *2) (-12 (-5 *2 (-114)) (-5 *1 (-481))))) +(((*1 *1) (-5 *1 (-848)))) (((*1 *1 *2) (-12 (-5 *2 (-663 *3)) (-4 *3 (-1249)) (-5 *1 (-1299 *3))))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *2 (-1268 *4 *5)) (-5 *3 (-663 *5)) (-14 *4 (-1209)) - (-4 *5 (-376)) (-5 *1 (-952 *4 *5)))) - ((*1 *2 *3 *3) - (-12 (-5 *3 (-663 *5)) (-4 *5 (-376)) (-5 *2 (-1203 *5)) - (-5 *1 (-952 *4 *5)) (-14 *4 (-1209)))) - ((*1 *2 *3 *3 *4 *4) - (-12 (-5 *3 (-663 *6)) (-5 *4 (-793)) (-4 *6 (-376)) - (-5 *2 (-421 (-976 *6))) (-5 *1 (-1082 *5 *6)) (-14 *5 (-1209))))) -(((*1 *2 *3) - (-12 (-4 *4 (-363)) (-5 *2 (-419 *3)) (-5 *1 (-220 *4 *3)) - (-4 *3 (-1275 *4)))) - ((*1 *2 *3) - (-12 (-5 *2 (-419 *3)) (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560))))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-793)) (-5 *2 (-419 *3)) (-5 *1 (-456 *3)) - (-4 *3 (-1275 (-560))))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-663 (-793))) (-5 *2 (-419 *3)) (-5 *1 (-456 *3)) - (-4 *3 (-1275 (-560))))) - ((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-663 (-793))) (-5 *5 (-793)) (-5 *2 (-419 *3)) - (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560))))) - ((*1 *2 *3 *4 *4) - (-12 (-5 *4 (-793)) (-5 *2 (-419 *3)) (-5 *1 (-456 *3)) - (-4 *3 (-1275 (-560))))) - ((*1 *2 *3) - (-12 (-5 *2 (-419 *3)) (-5 *1 (-1039 *3)) - (-4 *3 (-1275 (-421 (-560)))))) - ((*1 *2 *3) - (-12 (-5 *2 (-419 *3)) (-5 *1 (-1265 *3)) (-4 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(-3 (|:| |fn| (-402)) (|:| |fp| (-82 FCN)))) + (-5 *7 (-3 (|:| |fn| (-402)) (|:| |fp| (-87 OUTPUT)))) + (-5 *3 (-229)) (-5 *2 (-1067)) (-5 *1 (-771))))) (((*1 *2 *1 *3 *3) (-12 (-5 *3 (-793)) (-4 *1 (-762 *4 *5)) (-4 *4 (-1081)) (-4 *5 (-872)) (-5 *2 (-976 *4)))) @@ -16934,19 +16866,64 @@ ((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-4 *1 (-1292 *4)) (-4 *4 (-1081)) (-5 *2 (-976 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-916 *3)) (-4 *3 (-1133)))) +(((*1 *2 *2) + (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2)) + (-4 *2 (-13 (-435 *3) (-1235)))))) +(((*1 *2 *1) (|partial| -12 (-5 *2 (-520)) (-5 *1 (-291)))) ((*1 *2 *1) - (-12 (-4 *1 (-1136 *3 *4 *5 *6 *7)) (-4 *3 (-1133)) (-4 *4 (-1133)) - (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *7 (-1133)) (-5 *2 (-114))))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-793)) (-4 *1 (-1015 *2)) (-4 *2 (-1235))))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-793)) (-5 *1 (-601 *2)) (-4 *2 (-559)))) + (-12 (-5 *2 (-3 (-560) (-229) (-520) (-1191) (-1214))) + (-5 *1 (-1214))))) +(((*1 *2 *3) + (-12 (-4 *4 (-376)) (-4 *5 (-385 *4)) (-4 *6 (-385 *4)) + (-5 *2 (-793)) (-5 *1 (-535 *4 *5 *6 *3)) (-4 *3 (-708 *4 *5 *6)))) + ((*1 *2 *1) + (-12 (-4 *1 (-708 *3 *4 *5)) (-4 *3 (-1081)) (-4 *4 (-385 *3)) + (-4 *5 (-385 *3)) (-4 *3 (-571)) (-5 *2 (-793)))) ((*1 *2 *3) - (-12 (-5 *2 (-2 (|:| -4413 *3) (|:| -3562 (-793)))) (-5 *1 (-601 *3)) - (-4 *3 (-559))))) -(((*1 *2) (-12 (-5 *2 (-949)) (-5 *1 (-1304)))) - ((*1 *2 *2) (-12 (-5 *2 (-949)) (-5 *1 (-1304))))) + (-12 (-4 *4 (-571)) (-4 *4 (-175)) (-4 *5 (-385 *4)) + (-4 *6 (-385 *4)) (-5 *2 (-793)) (-5 *1 (-710 *4 *5 *6 *3)) + (-4 *3 (-708 *4 *5 *6)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1085 *3 *4 *5 *6 *7)) (-4 *5 (-1081)) + (-4 *6 (-245 *4 *5)) (-4 *7 (-245 *3 *5)) (-4 *5 (-571)) + (-5 *2 (-793))))) +(((*1 *2 *1) + (-12 + (-5 *2 + (-663 + (-2 + (|:| -3672 + (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) + (|:| -2048 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) + (|:| |relerr| (-229)))) + (|:| -1922 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1187 (-229))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -2048 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| + "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated")))))))) + (-5 *1 (-574)))) + ((*1 *2 *1) + (-12 (-4 *1 (-618 *3 *4)) (-4 *3 (-1133)) (-4 *4 (-1249)) + (-5 *2 (-663 *4))))) (((*1 *2 *1 *3 *4) (-12 (-5 *3 (-973 (-229))) (-5 *4 (-899)) (-5 *2 (-1305)) (-5 *1 (-482)))) @@ -16964,142 +16941,151 @@ (-12 (-5 *2 (-973 *3)) (-4 *1 (-1166 *3)) (-4 *3 (-1081)))) ((*1 *2 *3 *3 *3 *3) (-12 (-5 *2 (-973 (-229))) (-5 *1 (-1246)) (-5 *3 (-229))))) -(((*1 *2 *3) (-12 (-5 *3 (-326 (-229))) (-5 *2 (-229)) (-5 *1 (-315))))) -(((*1 *2 *1) (-12 (-5 *2 (-713 (-1167))) (-5 *1 (-1185))))) -(((*1 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-41 *3 *2)) - (-4 *2 - (-13 (-376) (-310) - (-10 -8 (-15 -2327 ((-1157 *3 (-630 $)) $)) - (-15 -2338 ((-1157 *3 (-630 $)) $)) - (-15 -2375 ($ (-1157 *3 (-630 $))))))))) - ((*1 *2 *2 *2) - (-12 (-4 *3 (-571)) (-5 *1 (-41 *3 *2)) - (-4 *2 - (-13 (-376) (-310) - (-10 -8 (-15 -2327 ((-1157 *3 (-630 $)) $)) - (-15 -2338 ((-1157 *3 (-630 $)) $)) - (-15 -2375 ($ (-1157 *3 (-630 $))))))))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-663 *2)) - (-4 *2 - (-13 (-376) (-310) - (-10 -8 (-15 -2327 ((-1157 *4 (-630 $)) $)) - (-15 -2338 ((-1157 *4 (-630 $)) $)) - (-15 -2375 ($ (-1157 *4 (-630 $))))))) - (-4 *4 (-571)) (-5 *1 (-41 *4 *2)))) - ((*1 *2 *2 *3) - (-12 (-5 *3 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2350) (-4479 . 2298) (-4480 . 2228) (-4481 . 2129) + (-4482 . 2018) (-4483 . 1940) (-4484 . 1765) (-4485 . 829) + (-4486 . 736) (-4487 . 440) (-4488 . 240) (-4489 . 116) (-4490 . 30))
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