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authordos-reis <gdr@axiomatics.org>2011-03-20 19:21:34 +0000
committerdos-reis <gdr@axiomatics.org>2011-03-20 19:21:34 +0000
commit5887c54d95b5bc62167a5e22e56e515cda7a7244 (patch)
treeedc430accc6075c307a40f252f7f50643b6c9f0f /src
parentadac8d95735aa3dc001658f2438b79d1c38a58d4 (diff)
downloadopen-axiom-5887c54d95b5bc62167a5e22e56e515cda7a7244.tar.gz
* interp/g-opt.boot ($VMsideEffectFreeOperators): Include
%bytevec2str and %str2bytevec opcode. * interp/lisp-backend.boot: Expand them. * algebra/data.spad.pamphlet (ByteBuffer): Tidy.
Diffstat (limited to 'src')
-rw-r--r--src/ChangeLog7
-rw-r--r--src/algebra/data.spad.pamphlet21
-rw-r--r--src/interp/g-opt.boot2
-rw-r--r--src/interp/lisp-backend.boot10
-rw-r--r--src/share/algebra/browse.daase636
-rw-r--r--src/share/algebra/category.daase1574
-rw-r--r--src/share/algebra/compress.daase1349
-rw-r--r--src/share/algebra/interp.daase9142
-rw-r--r--src/share/algebra/operation.daase29327
9 files changed, 21043 insertions, 21025 deletions
diff --git a/src/ChangeLog b/src/ChangeLog
index d03372c5..102bcb13 100644
--- a/src/ChangeLog
+++ b/src/ChangeLog
@@ -1,3 +1,10 @@
+2011-03-20 Gabriel Dos Reis <gdr@cs.tamu.edu>
+
+ * interp/g-opt.boot ($VMsideEffectFreeOperators): Include
+ %bytevec2str and %str2bytevec opcode.
+ * interp/lisp-backend.boot: Expand them.
+ * algebra/data.spad.pamphlet (ByteBuffer): Tidy.
+
2011-03-19 Gabriel Dos Reis <gdr@cs.tamu.edu>
* boot/translator.boot (FC): Remove.
diff --git a/src/algebra/data.spad.pamphlet b/src/algebra/data.spad.pamphlet
index 6810cbb1..5f060343 100644
--- a/src/algebra/data.spad.pamphlet
+++ b/src/algebra/data.spad.pamphlet
@@ -301,25 +301,29 @@ import Byte
++ Note: a value of type ByteBuffer is 0-based indexed, as opposed
++ Vector, but not unlike PrimitiveArray Byte.
ByteBuffer(): Public == Private where
+ macro NNI == NonNegativeInteger
Public == Join(OneDimensionalArrayAggregate Byte,_
CoercibleTo PrimitiveArray Byte,CoercibleTo String) with
- byteBuffer: NonNegativeInteger -> %
+ byteBuffer: NNI -> %
++ byteBuffer(n) creates a buffer of capacity n, and length 0.
- capacity: % -> NonNegativeInteger
+ capacity: % -> NNI
++ capacity(buf) returns the pre-allocated maximum size of `buf'.
- setLength!: (%,NonNegativeInteger) -> NonNegativeInteger
+ setLength!: (%,NNI) -> NNI
++ setLength!(buf,n) sets the number of active bytes in the
++ `buf'. Error if `n' is more than the capacity.
finiteAggregate ++ A ByteBuffer object is a finite aggregate
Private == add
+ import %bytevec2str: (PrimitiveArray Byte,NNI) -> String
+ from Foreign Builtin
+
-- A buffer object is a pair of a simple array, and the count
-- of active number in the array. Note that we cannot use
-- Lisp-level fill pointers because that would not guarantee that
-- the implementation uses a simple representation, therefore
-- complicating FFI interface.
- Rep == Record(ary: PrimitiveArray Byte, sz: NonNegativeInteger)
+ Rep == Record(ary: PrimitiveArray Byte, sz: NNI)
- makeByteBuffer(n: NonNegativeInteger): % ==
+ makeByteBuffer(n: NNI): % ==
per [makeByteBuffer(n)$Foreign(Builtin),n]$Rep
byteBuffer n == makeByteBuffer n
@@ -359,11 +363,8 @@ ByteBuffer(): Public == Private where
coerce(buf: %): PrimitiveArray Byte ==
rep(buf).ary
- coerce(buf: %): String ==
- s: String := MAKE_-STRING(#buf)$Foreign(Builtin)
- for i in 0..maxIndex buf repeat
- qsetelt!(s,i + 1,qelt(buf,i)::Character)$String
- s
+ coerce(buf: %): String ==
+ %bytevec2str(rep(buf).ary,#buf)
construct l ==
buf := makeByteBuffer(#l)
diff --git a/src/interp/g-opt.boot b/src/interp/g-opt.boot
index aca6a00c..2d1f9151 100644
--- a/src/interp/g-opt.boot
+++ b/src/interp/g-opt.boot
@@ -448,7 +448,7 @@ $VMsideEffectFreeOperators ==
%ccst %ccstmax %ceq %clt %cle %cgt %cge %c2i %i2c %s2c %c2s %cup %cdown
%sname
%strlength %streq %i2s %schar %strlt %strconc %strcopy
- %vector %aref %vref %vlength
+ %vector %aref %vref %vlength %bytevec2str %str2bytevec
%bitvector
%bitvecnot %bitvecand %bitvecnand %bivecor %bitvecnor %bitvecxor
%bitveccopy %bitvecconc %bitveclength %bitvecref %bitveceq %bitveclt
diff --git a/src/interp/lisp-backend.boot b/src/interp/lisp-backend.boot
index 8a9a2a4c..b5c47b39 100644
--- a/src/interp/lisp-backend.boot
+++ b/src/interp/lisp-backend.boot
@@ -317,6 +317,12 @@ expandStrlt ['%strlt,x,y] ==
expandStrstc ['%strstc,x,y,z] ==
expandToVMForm ['%store,['%schar,x,y],z]
+expandBytevec2str ['%bytevec2str,x,y] ==
+ ['COERCE,['SUBSEQ,expandToVMForm x,0,expandToVMForm y],quoteForm '%String]
+
+expandStr2bytevec ['%str2bytevec,x] ==
+ ['COERCE,expandToVMForm x,quoteForm ['%Vector,'%Byte]]
+
-- bit vector operations
expandBitvecnot ['%bitvecnot,x] ==
['BIT_-NOT,expandToVMForm x]
@@ -447,7 +453,7 @@ for x in [
['%or, :'OR],
-- character operations
- ['%ccstmax,:'_$CharCodeMax],
+ ['%ccstmax,:'_$CharCodeMaximum],
['%ceq, :'CHAR_=],
['%clt, :'CHAR_<],
['%cle, :'CHAR_<_=],
@@ -643,6 +649,8 @@ for x in [
['%streq, :function expandStreq],
['%strlt, :function expandStrlt],
['%strstc, :function expandStrstc],
+ ['%bytevec2str, :function expandBytevec2str],
+ ['%str2bytevec, :function expandStr2bytevec],
['%bitvecnot, :function expandBitvecnot],
['%bitvecand, :function expandBitvecand],
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase
index 82078b99..1e37614b 100644
--- a/src/share/algebra/browse.daase
+++ b/src/share/algebra/browse.daase
@@ -1,5 +1,5 @@
-(2294563 . 3509594073)
+(2294563 . 3509634648)
(-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 -3944)
+(-32 R -3969)
((|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 -3944 UP UPUP -1853)
+(-40 -3969 UP UPUP -4285)
((|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))) (-2179 (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (|HasCategory| (-421 |#2|) (QUOTE (-376))) (|HasCategory| (-421 |#2|) (QUOTE (-381))) (-2179 (-12 (|HasCategory| (-421 |#2|) (QUOTE (-240))) (|HasCategory| (-421 |#2|) (QUOTE (-376)))) (|HasCategory| (-421 |#2|) (QUOTE (-363)))) (-2179 (-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)))) (-2179 (-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))))) (-2179 (-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)))) (-2179 (|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 -3944)
+((|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)
((|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))
-((-2179 (-12 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1868) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1868) (|devaluate| |#2|))))))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-872))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-872))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#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 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (-12 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1868) (|devaluate| |#2|)))))))
+((-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|)))))))
(-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| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}.")))
NIL
@@ -144,7 +144,7 @@ NIL
((|constructor| (NIL "\\spad{ApplyUnivariateSkewPolynomial} (internal) allows univariate skew polynomials to be applied to appropriate modules.")) (|apply| ((|#2| |#3| (|Mapping| |#2| |#2|) |#2|) "\\spad{apply(p, f, m)} returns \\spad{p(m)} where the action is given by \\spad{x m = f(m)}. \\spad{f} must be an \\spad{R}-pseudo linear map on \\spad{M}.")))
NIL
NIL
-(-54 |Base| R -3944)
+(-54 |Base| R -3969)
((|constructor| (NIL "This package apply rewrite rules to expressions,{} calling the pattern matcher.")) (|localUnquote| ((|#3| |#3| (|List| (|Symbol|))) "\\spad{localUnquote(f,ls)} is a local function.")) (|applyRules| ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3| (|PositiveInteger|)) "\\spad{applyRules([r1,...,rn], expr, n)} applies the rules \\spad{r1},{}...,{}rn to \\spad{f} a most \\spad{n} times.") ((|#3| (|List| (|RewriteRule| |#1| |#2| |#3|)) |#3|) "\\spad{applyRules([r1,...,rn], expr)} applies the rules \\spad{r1},{}...,{}rn to \\spad{f} an unlimited number of times,{} \\spadignore{i.e.} until none of \\spad{r1},{}...,{}rn is applicable to the expression.")))
NIL
NIL
@@ -163,7 +163,7 @@ NIL
(-58 S)
((|constructor| (NIL "This is the domain of 1-based one dimensional arrays")) (|oneDimensionalArray| (($ (|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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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
@@ -171,64 +171,64 @@ 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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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 -3783)
+((-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))))
+(-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
NIL
-(-62 -3783)
+(-62 -3866)
((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim} SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT) DOUBLE PRECISION ELAM,P,Q,X,DQDL INTEGER JINT P=1.0D0 Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X) DQDL=1.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-63 -3783)
+(-63 -3866)
((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim} SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO) DOUBLE PRECISION ELAM,FINFO(15) INTEGER MAXIT,IFLAG IF(MAXIT.EQ.-1)THEN PRINT*,\"Output from Monit\" ENDIF PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}.")))
NIL
NIL
-(-64 -3783)
+(-64 -3866)
((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim} SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC) DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N) INTEGER M,N,LJC INTEGER I,J DO 25003 I=1,LJC DO 25004 J=1,N FJACC(I,J)=0.0D025004 CONTINUE25003 CONTINUE FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/( &XC(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/( &XC(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)* &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)* &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+ &XC(2)) FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714 &286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666 &6667D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3) &+XC(2)) FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) FJACC(1,1)=1.0D0 FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(2,1)=1.0D0 FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(3,1)=1.0D0 FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/( &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2) &**2) FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666 &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2) FJACC(4,1)=1.0D0 FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(5,1)=1.0D0 FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399 &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999 &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(6,1)=1.0D0 FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/( &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2) &**2) FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333 &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2) FJACC(7,1)=1.0D0 FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/( &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2) &**2) FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428 &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2) FJACC(8,1)=1.0D0 FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(9,1)=1.0D0 FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(10,1)=1.0D0 FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(11,1)=1.0D0 FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,1)=1.0D0 FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(13,1)=1.0D0 FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(14,1)=1.0D0 FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,1)=1.0D0 FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-65 -3783)
+(-65 -3866)
((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim} SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX) DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH) INTEGER JTHCOL,N,NROWH,NCOLH HX(1)=2.0D0*X(1) HX(2)=2.0D0*X(2) HX(3)=2.0D0*X(4)+2.0D0*X(3) HX(4)=2.0D0*X(4)+2.0D0*X(3) HX(5)=2.0D0*X(5) HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6)) HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6)) RETURN END\\end{verbatim}")))
NIL
NIL
-(-66 -3783)
+(-66 -3866)
((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim} SUBROUTINE FUNCT1(N,XC,FC) DOUBLE PRECISION FC,XC(N) INTEGER N FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5 &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+ &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC( &2)+10.0D0*XC(1)**4+XC(1)**2 RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP.")))
NIL
NIL
-(-67 -3783)
+(-67 -3866)
((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim} FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1 &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W( &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1 &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W( &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8)) &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7) &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0. &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3 &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W( &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1) RETURN END\\end{verbatim}")))
NIL
NIL
-(-68 -3783)
+(-68 -3866)
((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00 &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554 &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365 &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z( &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0. &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050 &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z &(1) W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010 &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136 &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8) &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532 &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056 &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1 &)) W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0 &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033 &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502 &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(- &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961 &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917 &D0*Z(1)) W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0. &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688 &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315 &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0 &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802 &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0* &Z(1) W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+( &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014 &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966 &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352 &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6)) &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718 &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851 &6D0*Z(1) W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048 &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323 &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730 &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z( &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583 &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700 &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1) W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0 &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843 &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017 &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z( &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136 &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015 &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1 &) W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05 &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338 &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869 &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8) &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056 &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544 &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z( &1) W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(- &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173 &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441 &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8 &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23 &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773 &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z( &1) W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0 &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246 &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609 &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8 &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032 &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688 &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z( &1) W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0 &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830 &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8) &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493 &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054 &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1) W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(- &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162 &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889 &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8 &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0. &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226 &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763 &75D0*Z(1) W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+( &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169 &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453 &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z( &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05 &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277 &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0 &*Z(1) W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15)) &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236 &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278 &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0 &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660 &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903 &02D0*Z(1) W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0 &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325 &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556 &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0. &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122 &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z &(1) W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0. &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669 &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114 &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0 &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739 &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0* &Z(1) RETURN END\\end{verbatim}")))
NIL
NIL
-(-69 -3783)
+(-69 -3866)
((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) DOUBLE PRECISION D(K),F(K) INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}.")))
NIL
NIL
-(-70 -3783)
+(-70 -3866)
((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK) INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE DOUBLE PRECISION A(5,5) EXTERNAL F06PAF A(1,1)=1.0D0 A(1,2)=0.0D0 A(1,3)=0.0D0 A(1,4)=-1.0D0 A(1,5)=0.0D0 A(2,1)=0.0D0 A(2,2)=1.0D0 A(2,3)=0.0D0 A(2,4)=0.0D0 A(2,5)=-1.0D0 A(3,1)=0.0D0 A(3,2)=0.0D0 A(3,3)=1.0D0 A(3,4)=-1.0D0 A(3,5)=0.0D0 A(4,1)=-1.0D0 A(4,2)=0.0D0 A(4,3)=-1.0D0 A(4,4)=4.0D0 A(4,5)=-1.0D0 A(5,1)=0.0D0 A(5,2)=-1.0D0 A(5,3)=0.0D0 A(5,4)=-1.0D0 A(5,5)=4.0D0 IF(MODE.EQ.1)THEN CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1) ELSEIF(MODE.EQ.2)THEN CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1) ENDIF RETURN END\\end{verbatim}")))
NIL
NIL
-(-71 -3783)
+(-71 -3866)
((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE PEDERV(X,Y,PW) DOUBLE PRECISION X,Y(*) DOUBLE PRECISION PW(3,3) PW(1,1)=-0.03999999999999999D0 PW(1,2)=10000.0D0*Y(3) PW(1,3)=10000.0D0*Y(2) PW(2,1)=0.03999999999999999D0 PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2)) PW(2,3)=-10000.0D0*Y(2) PW(3,1)=0.0D0 PW(3,2)=60000000.0D0*Y(2) PW(3,3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-72 -3783)
+(-72 -3866)
((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim} SUBROUTINE REPORT(X,V,JINT) DOUBLE PRECISION V(3),X INTEGER JINT RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}.")))
NIL
NIL
-(-73 -3783)
+(-73 -3866)
((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N) INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOUBLE PRECISION W1(3),W2(3),MS(3,3) IFLAG=-1 MS(1,1)=2.0D0 MS(1,2)=1.0D0 MS(1,3)=0.0D0 MS(2,1)=1.0D0 MS(2,2)=2.0D0 MS(2,3)=1.0D0 MS(3,1)=0.0D0 MS(3,2)=1.0D0 MS(3,3)=2.0D0 CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG) IFLAG=-IFLAG RETURN END\\end{verbatim}")))
NIL
NIL
-(-74 -3783)
+(-74 -3866)
((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG) DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N) INTEGER LDFJAC,N,IFLAG IF(IFLAG.EQ.1)THEN FVEC(1)=(-1.0D0*X(2))+X(1) FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2) FVEC(3)=3.0D0*X(3) ELSEIF(IFLAG.EQ.2)THEN FJAC(1,1)=1.0D0 FJAC(1,2)=-1.0D0 FJAC(1,3)=0.0D0 FJAC(2,1)=0.0D0 FJAC(2,2)=2.0D0 FJAC(2,3)=-1.0D0 FJAC(3,1)=0.0D0 FJAC(3,2)=0.0D0 FJAC(3,3)=3.0D0 ENDIF END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-75 -3783)
+(-75 -3866)
((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim} DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X) DOUBLE PRECISION X(NDIM) INTEGER NDIM FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0* &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP.")))
NIL
NIL
@@ -240,51 +240,51 @@ NIL
((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives wrt \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim} SUBROUTINE G(EPS,YA,YB,BC,N) DOUBLE PRECISION EPS,YA(N),YB(N),BC(N) INTEGER N BC(1)=YA(1) BC(2)=YA(2) BC(3)=YB(2)-1.0D0 RETURN END SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N) DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N) INTEGER N AJ(1,1)=1.0D0 AJ(1,2)=0.0D0 AJ(1,3)=0.0D0 AJ(2,1)=0.0D0 AJ(2,2)=1.0D0 AJ(2,3)=0.0D0 AJ(3,1)=0.0D0 AJ(3,2)=0.0D0 AJ(3,3)=0.0D0 BJ(1,1)=0.0D0 BJ(1,2)=0.0D0 BJ(1,3)=0.0D0 BJ(2,1)=0.0D0 BJ(2,2)=0.0D0 BJ(2,3)=0.0D0 BJ(3,1)=0.0D0 BJ(3,2)=1.0D0 BJ(3,3)=0.0D0 RETURN END SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N) DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N) INTEGER N BCEP(1)=0.0D0 BCEP(2)=0.0D0 BCEP(3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-78 -3783)
+(-78 -3866)
((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER) DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*) INTEGER N,IUSER(*),MODE,NSTATE OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7) &+(-1.0D0*X(2)*X(6)) OBJGRD(1)=X(7) OBJGRD(2)=-1.0D0*X(6) OBJGRD(3)=X(8)+(-1.0D0*X(7)) OBJGRD(4)=X(9) OBJGRD(5)=-1.0D0*X(8) OBJGRD(6)=-1.0D0*X(2) OBJGRD(7)=(-1.0D0*X(3))+X(1) OBJGRD(8)=(-1.0D0*X(5))+X(3) OBJGRD(9)=X(4) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP.")))
NIL
NIL
-(-79 -3783)
+(-79 -3866)
((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE LSFUN1(M,N,XC,FVECC) DOUBLE PRECISION FVECC(M),XC(N) INTEGER I,M,N FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X &C(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666 &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X &C(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC &(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142 &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999 &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2)) FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999 &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666 &67D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999 &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2)) FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-80 -3783)
+(-80 -3866)
((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER &,USER) DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*) INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE IF(NEEDC(1).GT.0)THEN C(1)=X(6)**2+X(1)**2 CJAC(1,1)=2.0D0*X(1) CJAC(1,2)=0.0D0 CJAC(1,3)=0.0D0 CJAC(1,4)=0.0D0 CJAC(1,5)=0.0D0 CJAC(1,6)=2.0D0*X(6) ENDIF IF(NEEDC(2).GT.0)THEN C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2 CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1) CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1)) CJAC(2,3)=0.0D0 CJAC(2,4)=0.0D0 CJAC(2,5)=0.0D0 CJAC(2,6)=0.0D0 ENDIF IF(NEEDC(3).GT.0)THEN C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2 CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1) CJAC(3,2)=2.0D0*X(2) CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1)) CJAC(3,4)=0.0D0 CJAC(3,5)=0.0D0 CJAC(3,6)=0.0D0 ENDIF RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-81 -3783)
+(-81 -3866)
((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,IFLAG) DOUBLE PRECISION X(N),FVEC(N) INTEGER N,IFLAG FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0 FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1. &0D0 FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1. &0D0 FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1. &0D0 FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1. &0D0 FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1. &0D0 FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1. &0D0 FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1. &0D0 FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0 RETURN END\\end{verbatim}")))
NIL
NIL
-(-82 -3783)
+(-82 -3866)
((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim} SUBROUTINE FCN(X,Z,F) DOUBLE PRECISION F(*),X,Z(*) F(1)=DTAN(Z(3)) F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2) &**2))/(Z(2)*DCOS(Z(3))) F(3)=-0.03199999999999999D0/(X*Z(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-83 -3783)
+(-83 -3866)
((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI) DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI ALPHA=DSIN(X) BETA=Y GAMMA=X*Y DELTA=DCOS(X)*DSIN(Y) EPSOLN=Y+X PHI=X PSI=Y RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-84 -3783)
+(-84 -3866)
((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE BNDY(X,Y,A,B,C,IBND) DOUBLE PRECISION A,B,C,X,Y INTEGER IBND IF(IBND.EQ.0)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(X) ELSEIF(IBND.EQ.1)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.2)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.3)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(Y) ENDIF END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-85 -3783)
+(-85 -3866)
((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNF(X,F) DOUBLE PRECISION X DOUBLE PRECISION F(2,2) F(1,1)=0.0D0 F(1,2)=1.0D0 F(2,1)=0.0D0 F(2,2)=-10.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-86 -3783)
+(-86 -3866)
((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNG(X,G) DOUBLE PRECISION G(*),X G(1)=0.0D0 G(2)=0.0D0 END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-87 -3783)
+(-87 -3866)
((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim} SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD) DOUBLE PRECISION Y(N),RESULT(M,N),XSOL INTEGER M,N,COUNT LOGICAL FORWRD DOUBLE PRECISION X02ALF,POINTS(8) EXTERNAL X02ALF INTEGER I POINTS(1)=1.0D0 POINTS(2)=2.0D0 POINTS(3)=3.0D0 POINTS(4)=4.0D0 POINTS(5)=5.0D0 POINTS(6)=6.0D0 POINTS(7)=7.0D0 POINTS(8)=8.0D0 COUNT=COUNT+1 DO 25001 I=1,N RESULT(COUNT,I)=Y(I)25001 CONTINUE IF(COUNT.EQ.M)THEN IF(FORWRD)THEN XSOL=X02ALF() ELSE XSOL=-X02ALF() ENDIF ELSE XSOL=POINTS(COUNT) ENDIF END\\end{verbatim}")))
NIL
NIL
-(-88 -3783)
+(-88 -3866)
((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR) DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3) YL(1)=XL YL(2)=2.0D0 YR(1)=1.0D0 YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM)) RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP.")))
NIL
NIL
-(-89 -3783)
+(-89 -3866)
((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim} DOUBLE PRECISION FUNCTION G(X,Y) DOUBLE PRECISION X,Y(*) G=X+Y(1) RETURN END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP.")))
NIL
NIL
@@ -295,7 +295,7 @@ NIL
(-91 S)
((|constructor| (NIL "A stack represented as a flexible array.")) (|arrayStack| (($ (|List| |#1|)) "\\spad{arrayStack([x,y,...,z])} creates an array stack with first (top) element \\spad{x},{} second element \\spad{y},{}...,{}and last element \\spad{z}.")))
((-4510 . T) (-4511 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))) (-2179 (|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)))) (-2179 (-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))) (-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)))))
(-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
@@ -396,7 +396,7 @@ NIL
((|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 -3944 UP)
+(-117 -3969 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))) (-2179 (|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)))) (-2179 (-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))) (-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)))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))
-((-2179 (-12 (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130))))) (-12 (|HasCategory| (-130) (QUOTE (-1133))) (|HasCategory| (-130) (|%list| (QUOTE -321) (QUOTE (-130)))))) (-2179 (-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)))) (-2179 (|HasCategory| (-130) (QUOTE (-872))) (|HasCategory| (-130) (QUOTE (-1133)))) (|HasCategory| (-130) (QUOTE (-872))) (-2179 (|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))))))
+((-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))))))
(-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
@@ -476,11 +476,11 @@ NIL
((|constructor| (NIL "Members of the domain CardinalNumber are values indicating the cardinality of sets,{} both finite and infinite. Arithmetic operations are defined on cardinal numbers as follows. \\blankline If \\spad{x = \\#X} and \\spad{y = \\#Y} then \\indented{2}{\\spad{x+y\\space{2}= \\#(X+Y)}\\space{3}\\tab{30}disjoint union} \\indented{2}{\\spad{x-y\\space{2}= \\#(X-Y)}\\space{3}\\tab{30}relative complement} \\indented{2}{\\spad{x*y\\space{2}= \\#(X*Y)}\\space{3}\\tab{30}cartesian product} \\indented{2}{\\spad{x**y = \\#(X**Y)}\\space{2}\\tab{30}\\spad{X**Y = \\{g| g:Y->X\\}}} \\blankline The non-negative integers have a natural construction as cardinals \\indented{2}{\\spad{0 = \\#\\{\\}},{} \\spad{1 = \\{0\\}},{} \\spad{2 = \\{0, 1\\}},{} ...,{} \\spad{n = \\{i| 0 <= i < n\\}}.} \\blankline That \\spad{0} acts as a zero for the multiplication of cardinals is equivalent to the axiom of choice. \\blankline The generalized continuum hypothesis asserts \\center{\\spad{2**Aleph i = Aleph(i+1)}} and is independent of the axioms of set theory [Goedel 1940]. \\blankline Three commonly encountered cardinal numbers are \\indented{3}{\\spad{a = \\#Z}\\space{7}\\tab{30}countable infinity} \\indented{3}{\\spad{c = \\#R}\\space{7}\\tab{30}the continuum} \\indented{3}{\\spad{f = \\#\\{g| g:[0,1]->R\\}}} \\blankline In this domain,{} these values are obtained using \\indented{3}{\\spad{a := Aleph 0},{} \\spad{c := 2**a},{} \\spad{f := 2**c}.} \\blankline")) (|generalizedContinuumHypothesisAssumed| (((|Boolean|) (|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed(bool)} is used to dictate whether the hypothesis is to be assumed.")) (|generalizedContinuumHypothesisAssumed?| (((|Boolean|)) "\\spad{generalizedContinuumHypothesisAssumed?()} tests if the hypothesis is currently assumed.")) (|countable?| (((|Boolean|) $) "\\spad{countable?(\\spad{a})} determines whether \\spad{a} is a countable cardinal,{} \\spadignore{i.e.} an integer or \\spad{Aleph 0}.")) (|finite?| (((|Boolean|) $) "\\spad{finite?(\\spad{a})} determines whether \\spad{a} is a finite cardinal,{} \\spadignore{i.e.} an integer.")) (|Aleph| (($ (|NonNegativeInteger|)) "\\spad{Aleph(n)} provides the named (infinite) cardinal number.")) (** (($ $ $) "\\spad{x**y} returns \\spad{\\#(X**Y)} where \\spad{X**Y} is defined \\indented{1}{as \\spad{\\{g| g:Y->X\\}}.}")) (- (((|Union| $ "failed") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,D) -> D} which is commutative.")))
(((-4512 "*") . T))
NIL
-(-137 |minix| -3504 R)
+(-137 |minix| -3613 R)
((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\spad{sample()} returns an object of type \\%.")) (|unravel| (($ (|List| |#3|)) "\\spad{unravel(t)} produces a tensor from a list of components such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|ravel| (((|List| |#3|) $) "\\spad{ravel(t)} produces a list of components from a tensor such that \\indented{2}{\\spad{unravel(ravel(t)) = t}.}")) (|leviCivitaSymbol| (($) "\\spad{leviCivitaSymbol()} is the rank \\spad{dim} tensor defined by \\spad{leviCivitaSymbol()(i1,...idim) = +1/0/-1} if \\spad{i1,...,idim} is an even/is nota /is an odd permutation of \\spad{minix,...,minix+dim-1}.")) (|kroneckerDelta| (($) "\\spad{kroneckerDelta()} is the rank 2 tensor defined by \\indented{3}{\\spad{kroneckerDelta()(i,j)}} \\indented{6}{\\spad{= 1\\space{2}if i = j}} \\indented{6}{\\spad{= 0 if\\space{2}i \\~= j}}")) (|reindex| (($ $ (|List| (|Integer|))) "\\spad{reindex(t,[i1,...,idim])} permutes the indices of \\spad{t}. For example,{} if \\spad{r = reindex(t, [4,1,2,3])} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank for tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,i,j,k)}.}")) (|transpose| (($ $ (|Integer|) (|Integer|)) "\\spad{transpose(t,i,j)} exchanges the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices of \\spad{t}. For example,{} if \\spad{r = transpose(t,2,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(i,k,j,l)}.}") (($ $) "\\spad{transpose(t)} exchanges the first and last indices of \\spad{t}. For example,{} if \\spad{r = transpose(t)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = t(l,j,k,i)}.}")) (|contract| (($ $ (|Integer|) (|Integer|)) "\\spad{contract(t,i,j)} is the contraction of tensor \\spad{t} which sums along the \\spad{i}\\spad{-}th and \\spad{j}\\spad{-}th indices. For example,{} if \\spad{r = contract(t,1,3)} for a rank 4 tensor \\spad{t},{} then \\spad{r} is the rank 2 \\spad{(= 4 - 2)} tensor given by \\indented{4}{\\spad{r(i,j) = sum(h=1..dim,t(h,i,h,j))}.}") (($ $ (|Integer|) $ (|Integer|)) "\\spad{contract(t,i,s,j)} is the inner product of tenors \\spad{s} and \\spad{t} which sums along the \\spad{k1}\\spad{-}th index of \\spad{t} and the \\spad{k2}\\spad{-}th index of \\spad{s}. For example,{} if \\spad{r = contract(s,2,t,1)} for rank 3 tensors rank 3 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is the rank 4 \\spad{(= 3 + 3 - 2)} tensor given by \\indented{4}{\\spad{r(i,j,k,l) = sum(h=1..dim,s(i,h,j)*t(h,k,l))}.}")) (* (($ $ $) "\\spad{s*t} is the inner product of the tensors \\spad{s} and \\spad{t} which contracts the last index of \\spad{s} with the first index of \\spad{t},{} \\spadignore{i.e.} \\indented{4}{\\spad{t*s = contract(t,rank t, s, 1)}} \\indented{4}{\\spad{t*s = sum(k=1..N, t[i1,..,iN,k]*s[k,j1,..,jM])}} This is compatible with the use of \\spad{M*v} to denote the matrix-vector inner product.")) (|product| (($ $ $) "\\spad{product(s,t)} is the outer product of the tensors \\spad{s} and \\spad{t}. For example,{} if \\spad{r = product(s,t)} for rank 2 tensors \\spad{s} and \\spad{t},{} then \\spad{r} is a rank 4 tensor given by \\indented{4}{\\spad{r(i,j,k,l) = s(i,j)*t(k,l)}.}")) (|elt| ((|#3| $ (|List| (|Integer|))) "\\spad{elt(t,[i1,...,iN])} gives a component of a rank \\spad{N} tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k,l)} gives a component of a rank 4 tensor.") ((|#3| $ (|Integer|) (|Integer|) (|Integer|)) "\\spad{elt(t,i,j,k)} gives a component of a rank 3 tensor.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(t,i,j)} gives a component of a rank 2 tensor.") ((|#3| $) "\\spad{elt(t)} gives the component of a rank 0 tensor.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(t)} returns the tensorial rank of \\spad{t} (that is,{} the number of indices). This is the same as the graded module degree.")) (|coerce| (($ (|List| $)) "\\spad{coerce([t_1,...,t_dim])} allows tensors to be constructed using lists.") (($ (|List| |#3|)) "\\spad{coerce([r_1,...,r_dim])} allows tensors to be constructed using lists.") (($ (|SquareMatrix| |#2| |#3|)) "\\spad{coerce(m)} views a matrix as a rank 2 tensor.") (($ (|DirectProduct| |#2| |#3|)) "\\spad{coerce(v)} views a vector as a rank 1 tensor.")))
NIL
NIL
-(-138 |minix| -3504 S T$)
+(-138 |minix| -3613 S T$)
((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}.")))
NIL
NIL
@@ -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))
-((-2179 (-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))))))
+((-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))))))
(-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 -3944 UP UPUP)
+(-150 -3969 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 -3944)
+(-160 R -3969)
((|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 -2179 (|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)) (-2765 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-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))
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 -2179 (|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)) (-2765 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
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(-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| (($) "`category' is the kind of category constructors")))
NIL
NIL
-(-191 R -3944)
+(-191 R -3969)
((|constructor| (NIL "\\spadtype{ComplexTrigonometricManipulations} provides function that compute the real and imaginary parts of complex functions.")) (|complexForm| (((|Complex| (|Expression| |#1|)) |#2|) "\\spad{complexForm(f)} returns \\spad{[real f, imag f]}.")) (|trigs| ((|#2| |#2|) "\\spad{trigs(f)} rewrites all the complex logs and exponentials appearing in \\spad{f} in terms of trigonometric functions.")) (|real?| (((|Boolean|) |#2|) "\\spad{real?(f)} returns \\spad{true} if \\spad{f = real f}.")) (|imag| (((|Expression| |#1|) |#2|) "\\spad{imag(f)} returns the imaginary part of \\spad{f} where \\spad{f} is a complex function.")) (|real| (((|Expression| |#1|) |#2|) "\\spad{real(f)} returns the real part of \\spad{f} where \\spad{f} is a complex function.")) (|complexElementary| ((|#2| |#2| (|Symbol|)) "\\spad{complexElementary(f, x)} rewrites the kernels of \\spad{f} involving \\spad{x} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.") ((|#2| |#2|) "\\spad{complexElementary(f)} rewrites \\spad{f} in terms of the 2 fundamental complex transcendental elementary functions: \\spad{log, exp}.")) (|complexNormalize| ((|#2| |#2| (|Symbol|)) "\\spad{complexNormalize(f, x)} rewrites \\spad{f} using the least possible number of complex independent kernels involving \\spad{x}.") ((|#2| |#2|) "\\spad{complexNormalize(f)} rewrites \\spad{f} using the least possible number of complex independent kernels.")))
NIL
NIL
@@ -804,23 +804,23 @@ NIL
((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: July 2,{} 2010 Date Last Modified: July 2,{} 2010 Descrption: \\indented{2}{Representation of a dual vector space basis,{} given by symbols.}")) (|dual| (($ (|LinearBasis| |#1|)) "\\spad{dual x} constructs the dual vector of a linear element which is part of a basis.")))
NIL
NIL
-(-219 -3944 UP UPUP R)
+(-219 -3969 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 -3944 FP)
+(-220 -3969 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))
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(-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|) $) "\\spad{head(d)} returns the head of the definition `d'. This is a list of identifiers starting with the name of the operation followed by the name of the parameters,{} if any.")))
NIL
NIL
-(-223 R -3944)
+(-223 R -3969)
((|constructor| (NIL "\\spadtype{ElementaryFunctionDefiniteIntegration} provides functions to compute definite integrals of elementary functions.")) (|innerint| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|Symbol|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|) (|Boolean|)) "\\spad{innerint(f, x, a, b, ignore?)} should be local but conditional")) (|integrate| (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|)) (|String|)) "\\spad{integrate(f, x = a..b, \"noPole\")} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. If it is not possible to check whether \\spad{f} has a pole for \\spad{x} between a and \\spad{b} (because of parameters),{} then this function will assume that \\spad{f} has no such pole. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b} or if the last argument is not \"noPole\".") (((|Union| (|:| |f1| (|OrderedCompletion| |#2|)) (|:| |f2| (|List| (|OrderedCompletion| |#2|))) (|:| |fail| "failed") (|:| |pole| "potentialPole")) |#2| (|SegmentBinding| (|OrderedCompletion| |#2|))) "\\spad{integrate(f, x = a..b)} returns the integral of \\spad{f(x)dx} from a to \\spad{b}. Error: if \\spad{f} has a pole for \\spad{x} between a and \\spad{b}.")))
NIL
NIL
@@ -835,18 +835,18 @@ NIL
(-226 S)
((|constructor| (NIL "Linked list implementation of a Dequeue")) (|dequeue| (($ (|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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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 -3944)
+(-228 R -3969)
((|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
(-229)
((|constructor| (NIL "\\indented{1}{\\spadtype{DoubleFloat} is intended to make accessible} hardware floating point arithmetic in \\Language{},{} either native double precision,{} or IEEE. On most machines,{} there will be hardware support for the arithmetic operations: \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and possibly also the \\spadfunFrom{sqrt}{DoubleFloat} operation. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat},{} \\spadfunFrom{atan}{DoubleFloat} are normally coded in software based on minimax polynomial/rational approximations. Note that under Lisp/VM,{} \\spadfunFrom{atan}{DoubleFloat} is not available at this time. Some general comments about the accuracy of the operations: the operations \\spadfunFrom{+}{DoubleFloat},{} \\spadfunFrom{*}{DoubleFloat},{} \\spadfunFrom{/}{DoubleFloat} and \\spadfunFrom{sqrt}{DoubleFloat} are expected to be fully accurate. The operations \\spadfunFrom{exp}{DoubleFloat},{} \\spadfunFrom{log}{DoubleFloat},{} \\spadfunFrom{sin}{DoubleFloat},{} \\spadfunFrom{cos}{DoubleFloat} and \\spadfunFrom{atan}{DoubleFloat} are not expected to be fully accurate. In particular,{} \\spadfunFrom{sin}{DoubleFloat} and \\spadfunFrom{cos}{DoubleFloat} will lose all precision for large arguments. \\blankline The \\spadtype{Float} domain provides an alternative to the \\spad{DoubleFloat} domain. It provides an arbitrary precision model of floating point arithmetic. This means that accuracy problems like those above are eliminated by increasing the working precision where necessary. \\spadtype{Float} provides some special functions such as \\spadfunFrom{erf}{DoubleFloat},{} the error function in addition to the elementary functions. The disadvantage of \\spadtype{Float} is that it is much more expensive than small floats when the latter can be used.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)} (that is,{} \\spad{|(r-f)/f| < b**(-n)}).") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|Beta| (($ $ $) "\\spad{Beta(x,y)} is \\spad{Gamma(x) * Gamma(y)/Gamma(x+y)}.")) (|Gamma| (($ $) "\\spad{Gamma(x)} is the Euler Gamma function.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm with base 10 for \\spad{x}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm with base 2 for \\spad{x}.")) (|exp1| (($) "\\spad{exp1()} returns the natural log base \\spad{2.718281828...}.")) (** (($ $ $) "\\spad{x ** y} returns the \\spad{y}th power of \\spad{x} (equal to \\spad{exp(y log x)}).")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}.")))
-((-2754 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-2764 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
(-230)
((|constructor| (NIL "This package provides special functions for double precision real and complex floating point.")) (|hypergeometric0F1| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{hypergeometric0F1(c,z)} is the hypergeometric function \\spad{0F1(; c; z)}.")) (|airyBi| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyBi(x)} is the Airy function \\spad{Bi(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Bi''(x) - x * Bi(x) = 0}.}")) (|airyAi| (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}") (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{airyAi(x)} is the Airy function \\spad{Ai(x)}. This function satisfies the differential equation: \\indented{2}{\\spad{Ai''(x) - x * Ai(x) = 0}.}")) (|besselK| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselK(v,x)} is the modified Bessel function of the first kind,{} \\spad{K(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{K(v,x) = \\%pi/2*(I(-v,x) - I(v,x))/sin(v*\\%pi)}.} so is not valid for integer values of \\spad{v}.")) (|besselI| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselI(v,x)} is the modified Bessel function of the first kind,{} \\spad{I(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) - (x^2+v^2)w(x) = 0}.}")) (|besselY| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselY(v,x)} is the Bessel function of the second kind,{} \\spad{Y(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.} Note: The default implmentation uses the relation \\indented{2}{\\spad{Y(v,x) = (J(v,x) cos(v*\\%pi) - J(-v,x))/sin(v*\\%pi)}} so is not valid for integer values of \\spad{v}.")) (|besselJ| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{besselJ(v,x)} is the Bessel function of the first kind,{} \\spad{J(v,x)}. This function satisfies the differential equation: \\indented{2}{\\spad{x^2 w''(x) + x w'(x) + (x^2-v^2)w(x) = 0}.}")) (|polygamma| (((|Complex| (|DoubleFloat|)) (|NonNegativeInteger|) (|Complex| (|DoubleFloat|))) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.") (((|DoubleFloat|) (|NonNegativeInteger|) (|DoubleFloat|)) "\\spad{polygamma(n, x)} is the \\spad{n}-th derivative of \\spad{digamma(x)}.")) (|digamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{digamma(x)} is the function,{} \\spad{psi(x)},{} defined by \\indented{2}{\\spad{psi(x) = Gamma'(x)/Gamma(x)}.}")) (|logGamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{logGamma(x)} is the natural log of \\spad{Gamma(x)}. This can often be computed even if \\spad{Gamma(x)} cannot.")) (|Beta| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}") (((|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "\\spad{Beta(x, y)} is the Euler beta function,{} \\spad{B(x,y)},{} defined by \\indented{2}{\\spad{Beta(x,y) = integrate(t^(x-1)*(1-t)^(y-1), t=0..1)}.} This is related to \\spad{Gamma(x)} by \\indented{2}{\\spad{Beta(x,y) = Gamma(x)*Gamma(y) / Gamma(x + y)}.}")) (|Gamma| (((|Complex| (|DoubleFloat|)) (|Complex| (|DoubleFloat|))) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}") (((|DoubleFloat|) (|DoubleFloat|)) "\\spad{Gamma(x)} is the Euler gamma function,{} \\spad{Gamma(x)},{} defined by \\indented{2}{\\spad{Gamma(x) = integrate(t^(x-1)*exp(-t), t=0..\\%infinity)}.}")))
@@ -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 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-232 A S)
((|constructor| (NIL "A dictionary is an aggregate in which entries can be inserted,{} searched for and removed. Duplicates are thrown away on insertion. This category models the usual notion of dictionary which involves large amounts of data where copying is impractical. Principal operations are thus destructive (non-copying) ones.")))
NIL
@@ -904,19 +904,19 @@ NIL
((|constructor| (NIL "any solution of a homogeneous linear Diophantine equation can be represented as a sum of minimal solutions,{} which form a \"basis\" (a minimal solution cannot be represented as a nontrivial sum of solutions) in the case of an inhomogeneous linear Diophantine equation,{} each solution is the sum of a inhomogeneous solution and any number of homogeneous solutions therefore,{} it suffices to compute two sets: \\indented{3}{1. all minimal inhomogeneous solutions} \\indented{3}{2. all minimal homogeneous solutions} the algorithm implemented is a completion procedure,{} which enumerates all solutions in a recursive depth-first-search it can be seen as finding monotone paths in a graph for more details see Reference")) (|dioSolve| (((|Record| (|:| |varOrder| (|List| (|Symbol|))) (|:| |inhom| (|Union| (|List| (|Vector| (|NonNegativeInteger|))) "failed")) (|:| |hom| (|List| (|Vector| (|NonNegativeInteger|))))) (|Equation| (|Polynomial| (|Integer|)))) "\\spad{dioSolve(u)} computes a basis of all minimal solutions for linear homogeneous Diophantine equation \\spad{u},{} then all minimal solutions of inhomogeneous equation")))
NIL
NIL
-(-244 S -3504 R)
+(-244 S -3613 R)
((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#3| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#3|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size")))
NIL
((|HasCategory| |#3| (QUOTE (-376))) (|HasCategory| |#3| (QUOTE (-817))) (|HasCategory| |#3| (QUOTE (-872))) (|HasAttribute| |#3| (QUOTE -4507)) (|HasCategory| |#3| (QUOTE (-175))) (|HasCategory| |#3| (QUOTE (-381))) (|HasCategory| |#3| (QUOTE (-748))) (|HasCategory| |#3| (QUOTE (-21))) (|HasCategory| |#3| (QUOTE (-23))) (|HasCategory| |#3| (QUOTE (-133))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-1081))) (|HasCategory| |#3| (QUOTE (-1133))))
-(-245 -3504 R)
+(-245 -3613 R)
((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (|dot| ((|#2| $ $) "\\spad{dot(x,y)} computes the inner product of the vectors \\spad{x} and \\spad{y}.")) (|unitVector| (($ (|PositiveInteger|)) "\\spad{unitVector(n)} produces a vector with 1 in position \\spad{n} and zero elsewhere.")) (|directProduct| (($ (|Vector| |#2|)) "\\spad{directProduct(v)} converts the vector \\spad{v} to become a direct product. Error: if the length of \\spad{v} is different from dim.")) (|finiteAggregate| ((|attribute|) "attribute to indicate an aggregate of finite size")))
((-4504 |has| |#2| (-1081)) (-4505 |has| |#2| (-1081)) (-4507 |has| |#2| (-6 -4507)) (-4510 . T))
NIL
-(-246 -3504 R)
+(-246 -3613 R)
((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying component type. This contrasts with simple vectors in that the members can be viewed as having constant length. Thus many categorical properties can by lifted from the underlying component type. Component extraction operations are provided but no updating operations. Thus new direct product elements can either be created by converting vector elements using the \\spadfun{directProduct} function or by taking appropriate linear combinations of basis vectors provided by the \\spad{unitVector} operation.")))
((-4504 |has| |#2| (-1081)) (-4505 |has| |#2| (-1081)) (-4507 |has| |#2| (-6 -4507)) (-4510 . T))
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+(-247 -3613 A B)
((|constructor| (NIL "\\indented{2}{This package provides operations which all take as arguments} direct products of elements of some type \\spad{A} and functions from \\spad{A} to another type \\spad{B}. The operations all iterate over their vector argument and either return a value of type \\spad{B} or a direct product over \\spad{B}.")) (|map| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2|) (|DirectProduct| |#1| |#2|)) "\\spad{map(f, v)} applies the function \\spad{f} to every element of the vector \\spad{v} producing a new vector containing the values.")) (|reduce| ((|#3| (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{reduce(func,vec,ident)} combines the elements in \\spad{vec} using the binary function \\spad{func}. Argument \\spad{ident} is returned if the vector is empty.")) (|scan| (((|DirectProduct| |#1| |#3|) (|Mapping| |#3| |#2| |#3|) (|DirectProduct| |#1| |#2|) |#3|) "\\spad{scan(func,vec,ident)} creates a new vector whose elements are the result of applying reduce to the binary function \\spad{func},{} increasing initial subsequences of the vector \\spad{vec},{} and the element \\spad{ident}.")))
NIL
NIL
@@ -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 . T))
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(-253 M)
((|constructor| (NIL "DiscreteLogarithmPackage implements help functions for discrete logarithms in monoids using small cyclic groups.")) (|shanksDiscLogAlgorithm| (((|Union| (|NonNegativeInteger|) "failed") |#1| |#1| (|NonNegativeInteger|)) "\\spad{shanksDiscLogAlgorithm(b,a,p)} computes \\spad{s} with \\spad{b**s = a} for assuming that \\spad{a} and \\spad{b} are elements in a 'small' cyclic group of order \\spad{p} by Shank'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.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial")))
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(-256)
((|showSummary| (((|Void|) $) "\\spad{showSummary(d)} prints out implementation detail information of domain `d'.")) (|reflect| (($ (|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|) $) "\\spad{constructor(d)} returns the domain constructor that is instantiated to the domain object `d'.")))
NIL
@@ -966,12 +966,12 @@ NIL
NIL
(-259 |n| R M S)
((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view.")))
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(-260 |n| R S)
((|constructor| (NIL "This constructor provides a direct product of \\spad{R}-modules with an \\spad{R}-module view.")))
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(-261 A R S V E)
((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\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")))
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(-276 A S)
((|constructor| (NIL "\\spadtype{DifferentialVariableCategory} constructs the set of derivatives of a given set of (ordinary) differential indeterminates. If \\spad{x},{}...,{}\\spad{y} is an ordered set of differential indeterminates,{} and the prime notation is used for differentiation,{} then the set of derivatives (including zero-th order) of the differential indeterminates is \\spad{x},{}\\spad{x'},{}\\spad{x''},{}...,{} \\spad{y},{}\\spad{y'},{}\\spad{y''},{}... (Note: in the interpreter,{} the \\spad{n}-th derivative of \\spad{y} is displayed as \\spad{y} with a subscript \\spad{n}.) This set is viewed as a set of algebraic indeterminates,{} totally ordered in a way compatible with differentiation and the given order on the differential indeterminates. Such a total order is called a ranking of the differential indeterminates. \\blankline A domain in this category is needed to construct a differential polynomial domain. Differential polynomials are ordered by a ranking on the derivatives,{} and by an order (extending the ranking) on on the set of differential monomials. One may thus associate a domain in this category with a ranking of the differential indeterminates,{} just as one associates a domain in the category \\spadtype{OrderedAbelianMonoidSup} with an ordering of the set of monomials in a set of algebraic indeterminates. The ranking is specified through the binary relation \\spadfun{<}. For example,{} one may define one derivative to be less than another by lexicographically comparing first the \\spadfun{order},{} then the given order of the differential indeterminates appearing in the derivatives. This is the default implementation. \\blankline The notion of weight generalizes that of degree. A polynomial domain may be made into a graded ring if a weight function is given on the set of indeterminates,{} Very often,{} a grading is the first step in ordering the set of monomials. For differential polynomial domains,{} this constructor provides a function \\spadfun{weight},{} which allows the assignment of a non-negative number to each derivative of a differential indeterminate. For example,{} one may define the weight of a derivative to be simply its \\spadfun{order} (this is the default assignment). This weight function can then be extended to the set of all differential polynomials,{} providing a graded ring structure.")) (|coerce| (($ |#2|) "\\spad{coerce(s)} returns \\spad{s},{} viewed as the zero-th order derivative of \\spad{s}.")) (|weight| (((|NonNegativeInteger|) $) "\\spad{weight(v)} returns the weight of the derivative \\spad{v}.")) (|variable| ((|#2| $) "\\spad{variable(v)} returns \\spad{s} if \\spad{v} is any derivative of the differential indeterminate \\spad{s}.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(v)} returns \\spad{n} if \\spad{v} is the \\spad{n}-th derivative of any differential indeterminate.")) (|makeVariable| (($ |#2| (|NonNegativeInteger|)) "\\spad{makeVariable(s, n)} returns the \\spad{n}-th derivative of a differential indeterminate \\spad{s} as an algebraic indeterminate.")))
NIL
@@ -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 -3944)
+(-287 R -3969)
((|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 -3944)
+(-288 R -3969)
((|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| -2227 -3468 |exactQuo|)
+(-301 S R |Mod| -3626 -2165 |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 -2179 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4504 |has| |#1| (-1081)) (-4505 |has| |#1| (-1081)))
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+((-4507 -2171 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4504 |has| |#1| (-1081)) (-4505 |has| |#1| (-1081)))
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(-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))
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+((-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))))
(-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|) $) "\\spad{elt(op,x)} or \\spad{op}(\\spad{x}) applies the unary operator \\spad{op} to \\spad{x}.")))
NIL
NIL
-(-311 -3944 S)
+(-311 -3969 S)
((|constructor| (NIL "This package allows a map from any expression space into any object to be lifted to a kernel over the expression set,{} using a given property of the operator of the kernel.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|String|) (|Kernel| |#1|)) "\\spad{map(f, p, k)} uses the property \\spad{p} of the operator of \\spad{k},{} in order to lift \\spad{f} and apply it to \\spad{k}.")))
NIL
NIL
-(-312 E -3944)
+(-312 E -3969)
((|constructor| (NIL "This package allows a mapping \\spad{E} -> \\spad{F} to be lifted to a kernel over \\spad{E}; This lifting can fail if the operator of the kernel cannot be applied in \\spad{F}; Do not use this package with \\spad{E} = \\spad{F},{} since this may drop some properties of the operators.")) (|map| ((|#2| (|Mapping| |#2| |#1|) (|Kernel| |#1|)) "\\spad{map(f, k)} returns \\spad{g = op(f(a1),...,f(an))} where \\spad{k = op(a1,...,an)}.")))
NIL
NIL
@@ -1216,7 +1216,7 @@ NIL
((|constructor| (NIL "This category provides \\spadfun{eval} operations. A domain may belong to this category if it is possible to make ``evaluation'' substitutions.")) (|eval| (($ $ (|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 -3944)
+(-322 -3969)
((|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))
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(-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.")))
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(-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 -3944)
+(-329 R -3969)
((|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.")))
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((|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
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((|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))
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+(-340 S -3969)
((|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 -3944)
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((|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 -3944 UP UPUP R)
+(-346 -3969 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 -3944 UP UPUP R)
+(-348 S -3969 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 -3944 UP UPUP R)
+(-349 -3969 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))
-((-2179 (|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 -3944 UP UPUP)
+((-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)
((|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 -3944 UP UPUP)
+(-355 -3969 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))
-((-2179 (|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))))
+((-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))))
(-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))
-((-2179 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147))))
+((-2171 (|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))
-((-2179 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147))))
+((-2171 (|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 -3944)
+(-364 R UP -3969)
((|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))
-((-2179 (|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))))
+((-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))))
(-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))
-((-2179 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147))))
+((-2171 (|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))
-((-2179 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147))))
+((-2171 (|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))
-((-2179 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147))))
+((-2171 (|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 -3944 GF)
+(-370 -3969 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 -3944 FP FPP)
+(-371 -3969 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))
-((-2179 (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-381)))) (|HasCategory| |#1| (QUOTE (-149))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-147))))
+((-2171 (|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
@@ -1494,7 +1494,7 @@ NIL
NIL
(-391)
((|constructor| (NIL "\\spadtype{Float} implements arbitrary precision floating point arithmetic. The number of significant digits of each operation can be set to an arbitrary value (the default is 20 decimal digits). The operation \\spad{float(mantissa,exponent,\\spadfunFrom{base}{FloatingPointSystem})} for integer \\spad{mantissa},{} \\spad{exponent} specifies the number \\spad{mantissa * \\spadfunFrom{base}{FloatingPointSystem} ** exponent} The underlying representation for floats is binary not decimal. The implications of this are described below. \\blankline The model adopted is that arithmetic operations are rounded to to nearest unit in the last place,{} that is,{} accurate to within \\spad{2**(-\\spadfunFrom{bits}{FloatingPointSystem})}. Also,{} the elementary functions and constants are accurate to one unit in the last place. A float is represented as a record of two integers,{} the mantissa and the exponent. The \\spadfunFrom{base}{FloatingPointSystem} of the representation is binary,{} hence a \\spad{Record(m:mantissa,e:exponent)} represents the number \\spad{m * 2 ** e}. Though it is not assumed that the underlying integers are represented with a binary \\spadfunFrom{base}{FloatingPointSystem},{} the code will be most efficient when this is the the case (this is \\spad{true} in most implementations of Lisp). The decision to choose the \\spadfunFrom{base}{FloatingPointSystem} to be binary has some unfortunate consequences. First,{} decimal numbers like 0.3 cannot be represented exactly. Second,{} there is a further loss of accuracy during conversion to decimal for output. To compensate for this,{} if \\spad{d} digits of precision are specified,{} \\spad{1 + ceiling(log2 d)} bits are used. Two numbers that are displayed identically may therefore be not equal. On the other hand,{} a significant efficiency loss would be incurred if we chose to use a decimal \\spadfunFrom{base}{FloatingPointSystem} when the underlying integer base is binary. \\blankline Algorithms used: For the elementary functions,{} the general approach is to apply identities so that the taylor series can be used,{} and,{} so that it will converge within \\spad{O( sqrt n )} steps. For example,{} using the identity \\spad{exp(x) = exp(x/2)**2},{} we can compute \\spad{exp(1/3)} to \\spad{n} digits of precision as follows. We have \\spad{exp(1/3) = exp(2 ** (-sqrt s) / 3) ** (2 ** sqrt s)}. The taylor series will converge in less than sqrt \\spad{n} steps and the exponentiation requires sqrt \\spad{n} multiplications for a total of \\spad{2 sqrt n} multiplications. Assuming integer multiplication costs \\spad{O( n**2 )} the overall running time is \\spad{O( sqrt(n) n**2 )}. This approach is the best known approach for precisions up to about 10,{}000 digits at which point the methods of Brent which are \\spad{O( log(n) n**2 )} become competitive. Note also that summing the terms of the taylor series for the elementary functions is done using integer operations. This avoids the overhead of floating point operations and results in efficient code at low precisions. This implementation makes no attempt to reuse storage,{} relying on the underlying system to do \\spadgloss{garbage collection}. \\spad{I} estimate that the efficiency of this package at low precisions could be improved by a factor of 2 if in-place operations were available. \\blankline Running times: in the following,{} \\spad{n} is the number of bits of precision \\indented{5}{\\spad{*},{} \\spad{/},{} \\spad{sqrt},{} \\spad{pi},{} \\spad{exp1},{} \\spad{log2},{} \\spad{log10}: \\spad{ O( n**2 )}} \\indented{5}{\\spad{exp},{} \\spad{log},{} \\spad{sin},{} \\spad{atan}:\\space{2}\\spad{ O( sqrt(n) n**2 )}} The other elementary functions are coded in terms of the ones above.")) (|outputSpacing| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputSpacing(n)} inserts a space after \\spad{n} (default 10) digits on output; outputSpacing(0) means no spaces are inserted.")) (|outputGeneral| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputGeneral(n)} sets the output mode to general notation with \\spad{n} significant digits displayed.") (((|Void|)) "\\spad{outputGeneral()} sets the output mode (default mode) to general notation; numbers will be displayed in either fixed or floating (scientific) notation depending on the magnitude.")) (|outputFixed| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFixed(n)} sets the output mode to fixed point notation,{} with \\spad{n} digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFixed()} sets the output mode to fixed point notation; the output will contain a decimal point.")) (|outputFloating| (((|Void|) (|NonNegativeInteger|)) "\\spad{outputFloating(n)} sets the output mode to floating (scientific) notation with \\spad{n} significant digits displayed after the decimal point.") (((|Void|)) "\\spad{outputFloating()} sets the output mode to floating (scientific) notation,{} \\spadignore{i.e.} \\spad{mantissa * 10 exponent} is displayed as \\spad{0.mantissa E exponent}.")) (|atan| (($ $ $) "\\spad{atan(x,y)} computes the arc tangent from \\spad{x} with phase \\spad{y}.")) (|exp1| (($) "\\spad{exp1()} returns exp 1: \\spad{2.7182818284...}.")) (|log10| (($ $) "\\spad{log10(x)} computes the logarithm for \\spad{x} to base 10.") (($) "\\spad{log10()} returns \\spad{ln 10}: \\spad{2.3025809299...}.")) (|log2| (($ $) "\\spad{log2(x)} computes the logarithm for \\spad{x} to base 2.") (($) "\\spad{log2()} returns \\spad{ln 2},{} \\spadignore{i.e.} \\spad{0.6931471805...}.")) (|rationalApproximation| (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n, b)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< b**(-n)},{} that is \\spad{|(r-f)/f| < b**(-n)}.") (((|Fraction| (|Integer|)) $ (|NonNegativeInteger|)) "\\spad{rationalApproximation(f, n)} computes a rational approximation \\spad{r} to \\spad{f} with relative error \\spad{< 10**(-n)}.")) (|shift| (($ $ (|Integer|)) "\\spad{shift(x,n)} adds \\spad{n} to the exponent of float \\spad{x}.")) (|relerror| (((|Integer|) $ $) "\\spad{relerror(x,y)} computes the absolute value of \\spad{x - y} divided by \\spad{y},{} when \\spad{y \\~= 0}.")) (|normalize| (($ $) "\\spad{normalize(x)} normalizes \\spad{x} at current precision.")) (** (($ $ $) "\\spad{x ** y} computes \\spad{exp(y log x)} where \\spad{x >= 0}.")) (/ (($ $ (|Integer|)) "\\spad{x / i} computes the division from \\spad{x} by an integer \\spad{i}.")))
-((-4493 . T) (-4501 . T) (-2754 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-4493 . T) (-4501 . T) (-2764 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
(-392 |Par|)
((|constructor| (NIL "\\indented{3}{This is a package for the approximation of complex solutions for} systems of equations of rational functions with complex rational coefficients. The results are expressed as either complex rational numbers or complex floats depending on the type of the precision parameter which can be either a rational number or a floating point number.")) (|complexRoots| (((|List| (|List| (|Complex| |#1|))) (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) (|List| (|Symbol|)) |#1|) "\\spad{complexRoots(lrf, lv, eps)} finds all the complex solutions of a list of rational functions with rational number coefficients with respect the the variables appearing in \\spad{lv}. Each solution is computed to precision eps and returned as list corresponding to the order of variables in \\spad{lv}.") (((|List| (|Complex| |#1|)) (|Fraction| (|Polynomial| (|Complex| (|Integer|)))) |#1|) "\\spad{complexRoots(rf, eps)} finds all the complex solutions of a univariate rational function with rational number coefficients. The solutions are computed to precision eps.")) (|complexSolve| (((|List| (|Equation| (|Polynomial| (|Complex| |#1|)))) (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) |#1|) "\\spad{complexSolve(eq,eps)} finds all the complex solutions of the equation \\spad{eq} of rational functions with rational rational coefficients with respect to all the variables appearing in \\spad{eq},{} with precision \\spad{eps}.") (((|List| (|Equation| (|Polynomial| (|Complex| |#1|)))) (|Fraction| (|Polynomial| (|Complex| (|Integer|)))) |#1|) "\\spad{complexSolve(p,eps)} find all the complex solutions of the rational function \\spad{p} with complex rational coefficients with respect to all the variables appearing in \\spad{p},{} with precision \\spad{eps}.") (((|List| (|List| (|Equation| (|Polynomial| (|Complex| |#1|))))) (|List| (|Equation| (|Fraction| (|Polynomial| (|Complex| (|Integer|)))))) |#1|) "\\spad{complexSolve(leq,eps)} finds all the complex solutions to precision \\spad{eps} of the system \\spad{leq} of equations of rational functions over complex rationals with respect to all the variables appearing in lp.") (((|List| (|List| (|Equation| (|Polynomial| (|Complex| |#1|))))) (|List| (|Fraction| (|Polynomial| (|Complex| (|Integer|))))) |#1|) "\\spad{complexSolve(lp,eps)} finds all the complex solutions to precision \\spad{eps} of the system \\spad{lp} of rational functions over the complex rationals with respect to all the variables appearing in \\spad{lp}.")))
@@ -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 -3944 UP UPUP R)
+(-406 -3969 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
@@ -1576,11 +1576,11 @@ NIL
((|constructor| (NIL "\\axiomType{FortranFunctionCategory} is the category of arguments to NAG Library routines which return (sets of) function values.")) (|retractIfCan| (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Polynomial| (|Float|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Expression| (|Integer|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Expression| (|Float|))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Fraction| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Fraction| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Polynomial| (|Integer|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Polynomial| (|Float|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Expression| (|Integer|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Expression| (|Float|))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|coerce| (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(e)} takes the component of \\spad{e} from \\spadtype{List FortranCode} and uses it as the body of the ASP,{} making the declarations in the \\spadtype{SymbolTable} component.") (($ (|FortranCode|)) "\\spad{coerce(e)} takes an object from \\spadtype{FortranCode} and \\indented{1}{uses it as the body of an ASP.}") (($ (|List| (|FortranCode|))) "\\spad{coerce(e)} takes an object from \\spadtype{List FortranCode} and \\indented{1}{uses it as the body of an ASP.}")))
NIL
NIL
-(-412 -3783 |returnType| -3506 |symbols|)
+(-412 -3866 |returnType| -3592 |symbols|)
((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}")))
NIL
NIL
-(-413 -3944 UP)
+(-413 -3969 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| $) "\\spad{p + x} returns the sum of \\spad{p} and \\spad{x}")))
NIL
NIL
@@ -1602,12 +1602,12 @@ NIL
((|HasAttribute| |#1| (QUOTE -4493)) (|HasAttribute| |#1| (QUOTE -4501)))
(-418)
((|constructor| (NIL "This category is intended as a model for floating point systems. A floating point system is a model for the real numbers. In fact,{} it is an approximation in the sense that not all real numbers are exactly representable by floating point numbers. A floating point system is characterized by the following: \\blankline \\indented{2}{1: \\spadfunFrom{base}{FloatingPointSystem} of the \\spadfunFrom{exponent}{FloatingPointSystem}.} \\indented{9}{(actual implemenations are usually binary or decimal)} \\indented{2}{2: \\spadfunFrom{precision}{FloatingPointSystem} of the \\spadfunFrom{mantissa}{FloatingPointSystem} (arbitrary or fixed)} \\indented{2}{3: rounding error for operations} \\blankline Because a Float is an approximation to the real numbers,{} even though it is defined to be a join of a Field and OrderedRing,{} some of the attributes do not hold. In particular associative(\"+\") does not hold. Algorithms defined over a field need special considerations when the field is a floating point system.")) (|max| (($) "\\spad{max()} returns the maximum floating point number.")) (|min| (($) "\\spad{min()} returns the minimum floating point number.")) (|decreasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{decreasePrecision(n)} decreases the current \\spadfunFrom{precision}{FloatingPointSystem} precision by \\spad{n} decimal digits.")) (|increasePrecision| (((|PositiveInteger|) (|Integer|)) "\\spad{increasePrecision(n)} increases the current \\spadfunFrom{precision}{FloatingPointSystem} by \\spad{n} decimal digits.")) (|precision| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(n)} set the precision in the base to \\spad{n} decimal digits.") (((|PositiveInteger|)) "\\spad{precision()} returns the precision in digits base.")) (|digits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{digits(d)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{d} digits.") (((|PositiveInteger|)) "\\spad{digits()} returns ceiling's precision in decimal digits.")) (|bits| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{bits(n)} set the \\spadfunFrom{precision}{FloatingPointSystem} to \\spad{n} bits.") (((|PositiveInteger|)) "\\spad{bits()} returns ceiling's precision in bits.")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(x)} returns the mantissa part of \\spad{x}.")) (|exponent| (((|Integer|) $) "\\spad{exponent(x)} returns the \\spadfunFrom{exponent}{FloatingPointSystem} part of \\spad{x}.")) (|base| (((|PositiveInteger|)) "\\spad{base()} returns the base of the \\spadfunFrom{exponent}{FloatingPointSystem}.")) (|order| (((|Integer|) $) "\\spad{order x} is the order of magnitude of \\spad{x}. Note: \\spad{base ** order x <= |x| < base ** (1 + order x)}.")) (|float| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{float(a,e,b)} returns \\spad{a * b ** e}.") (($ (|Integer|) (|Integer|)) "\\spad{float(a,e)} returns \\spad{a * base() ** e}.")) (|approximate| ((|attribute|) "\\spad{approximate} means \"is an approximation to the real numbers\".")))
-((-2754 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-2764 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
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))
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+((|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))))
(-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))
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+((|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)))))
(-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 -3944 UP A)
+(-427 R -3969 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 -3944 UP A |ibasis|)
+(-429 R -3969 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|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}.")))
-((-4507 -2179 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) ((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-571)) (-4502 |has| |#1| (-571)))
+((-4507 -2171 (|has| |#1| (-1081)) (|has| |#1| (-487))) (-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) ((-4512 "*") |has| |#1| (-571)) (-4503 |has| |#1| (-571)) (-4508 |has| |#1| (-571)) (-4502 |has| |#1| (-571)))
NIL
(-436 R A S B)
((|constructor| (NIL "This package allows a mapping \\spad{R} -> \\spad{S} to be lifted to a mapping from a function space over \\spad{R} to a function space over \\spad{S}.")) (|map| ((|#4| (|Mapping| |#3| |#1|) |#2|) "\\spad{map(f, a)} applies \\spad{f} to all the constants in \\spad{R} appearing in \\spad{a}.")))
@@ -1696,7 +1696,7 @@ NIL
((|constructor| (NIL "\\spad{FiniteSetAggregateFunctions2} provides functions involving two finite set aggregates where the underlying domains might be different. An example of this is to create a set of rational numbers by mapping a function across a set of integers,{} where the function divides each integer by 1000.")) (|scan| ((|#4| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{scan(f,a,r)} successively applies \\spad{reduce(f,x,r)} to more and more leading sub-aggregates \\spad{x} of aggregate \\spad{a}. More precisely,{} if \\spad{a} is \\spad{[a1,a2,...]},{} then \\spad{scan(f,a,r)} returns \\spad {[reduce(f,[a1],r),reduce(f,[a1,a2],r),...]}.")) (|reduce| ((|#3| (|Mapping| |#3| |#1| |#3|) |#2| |#3|) "\\spad{reduce(f,a,r)} applies function \\spad{f} to each successive element of the aggregate \\spad{a} and an accumulant initialised to \\spad{r}. For example,{} \\spad{reduce(_+\\$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 -3944)
+(-442 R -3969)
((|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 -3944)
+(-444 R -3969)
((|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 -3944)
+(-445 R -3969)
((|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 -3944)
+(-446 R -3969)
((|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 -3944)
+(-447 R -3969)
((|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 -3944 UP)
+(-449 R -3969 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 -3944)
+(-457 R UP -3969)
((|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")))
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(-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| -3944 R)
+(-485 |lv| -3969 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.") (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series.")))
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(-489 |Key| |Entry| |Tbl| |dent|)
((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key.")))
((-4511 . T))
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(-490 R E V P)
((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}")))
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@@ -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.")))
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(-494)
((|constructor| (NIL "\\indented{1}{Author : Larry Lambe} Date Created : August 1988 Date Last Updated : March 9 1990 Related Constructors: OrderedSetInts,{} Commutator,{} FreeNilpotentLie AMS Classification: Primary 17B05,{} 17B30; Secondary 17A50 Keywords: free Lie algebra,{} Hall basis,{} basic commutators Description : Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. 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.")) (|reorder| (($ $ (|List| (|Integer|))) "\\spad{reorder(p, perm)} applies the permutation perm to the variables in a polynomial and returns the new correctly ordered polynomial")))
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((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The vectors are ordered first by the sum of their components,{} and then refined using a reverse lexicographic ordering. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}.")))
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(QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-240)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-376)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-381)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-748)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-817)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-872)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-1133))))) (-2171 (-12 (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-381))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-748))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-817))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-872))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#2| (QUOTE (-1081))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (-2171 (-12 (|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-175))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-381))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-748))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-817))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-872))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (|HasCategory| (-560) (QUOTE (-872))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-2171 (|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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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 -3944 UP UPUP R)
+((-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)
((|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))
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+((|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)))))
(-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 -3944 UP |AlExt| |AlPol|)
+(-508 -3969 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))
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+((-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|)))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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 -3944)
+(-513 R UP -3969)
((|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| $) $) "\\spad{squareFree(x)} returns a square-free factorisation of \\spad{x}")))
NIL
NIL
@@ -2000,7 +2000,7 @@ NIL
((|constructor| (NIL "InnerCommonDenominator provides functions to compute the common denominator of a finite linear aggregate of elements of the quotient field of an integral domain.")) (|splitDenominator| (((|Record| (|:| |num| |#3|) (|:| |den| |#1|)) |#4|) "\\spad{splitDenominator([q1,...,qn])} returns \\spad{[[p1,...,pn], d]} such that \\spad{qi = pi/d} and \\spad{d} is a common denominator for the \\spad{qi}'s.")) (|clearDenominator| ((|#3| |#4|) "\\spad{clearDenominator([q1,...,qn])} returns \\spad{[p1,...,pn]} such that \\spad{qi = pi/d} where \\spad{d} is a common denominator for the \\spad{qi}'s.")) (|commonDenominator| ((|#1| |#4|) "\\spad{commonDenominator([q1,...,qn])} returns a common denominator \\spad{d} for \\spad{q1},{}...,{}qn.")))
NIL
NIL
-(-518 -3944 |Expon| |VarSet| |DPoly|)
+(-518 -3969 |Expon| |VarSet| |DPoly|)
((|constructor| (NIL "This domain represents polynomial ideals with coefficients in any field and supports the basic ideal operations,{} including intersection sum and quotient. An ideal is represented by a list of polynomials (the generators of the ideal) and a boolean that is \\spad{true} if the generators are a Groebner basis. The algorithms used are based on Groebner basis computations. The ordering is determined by the datatype of the input polynomials. Users may use refinements of total degree orderings.")) (|relationsIdeal| (((|SuchThat| (|List| (|Polynomial| |#1|)) (|List| (|Equation| (|Polynomial| |#1|)))) (|List| |#4|)) "\\spad{relationsIdeal(polyList)} returns the ideal of relations among the polynomials in \\spad{polyList}.")) (|saturate| (($ $ |#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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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))
-((-2179 (|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))))
+((-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))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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 -3944 |Par|)
+(-546 K -3969 |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 -3944 |Par|)
+(-552 K -3969 |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 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1868) (|devaluate| |#2|)))))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))))
-(-566 R -3944)
+((-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)
((|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 -3944 UP UPUP R)
+(-567 R0 -3969 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
@@ -2206,7 +2206,7 @@ NIL
NIL
(-569 R)
((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This category implements of interval arithmetic and transcendental + functions over intervals.")) (|contains?| (((|Boolean|) $ |#1|) "\\spad{contains?(i,f)} returns \\spad{true} if \\axiom{\\spad{f}} is contained within the interval \\axiom{\\spad{i}},{} \\spad{false} otherwise.")) (|negative?| (((|Boolean|) $) "\\spad{negative?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is negative,{} \\axiom{\\spad{false}} otherwise.")) (|positive?| (((|Boolean|) $) "\\spad{positive?(u)} returns \\axiom{\\spad{true}} if every element of \\spad{u} is positive,{} \\axiom{\\spad{false}} otherwise.")) (|width| ((|#1| $) "\\spad{width(u)} returns \\axiom{sup(\\spad{u}) - inf(\\spad{u})}.")) (|sup| ((|#1| $) "\\spad{sup(u)} returns the supremum of \\axiom{\\spad{u}}.")) (|inf| ((|#1| $) "\\spad{inf(u)} returns the infinum of \\axiom{\\spad{u}}.")) (|qinterval| (($ |#1| |#1|) "\\spad{qinterval(inf,sup)} creates a new interval \\axiom{[\\spad{inf},{}\\spad{sup}]},{} without checking the ordering on the elements.")) (|interval| (($ (|Fraction| (|Integer|))) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1|) "\\spad{interval(f)} creates a new interval around \\spad{f}.") (($ |#1| |#1|) "\\spad{interval(inf,sup)} creates a new interval,{} either \\axiom{[\\spad{inf},{}\\spad{sup}]} if \\axiom{\\spad{inf} <= \\spad{sup}} or \\axiom{[\\spad{sup},{}in]} otherwise.")))
-((-2754 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-2764 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
(-570 S)
((|constructor| (NIL "The category of commutative integral domains,{} \\spadignore{i.e.} commutative rings with no zero divisors. \\blankline Conditional attributes: \\indented{2}{canonicalUnitNormal\\tab{20}the canonical field is the same for all associates} \\indented{2}{canonicalsClosed\\tab{20}the product of two canonicals is itself canonical}")) (|unit?| (((|Boolean|) $) "\\spad{unit?(x)} tests whether \\spad{x} is a unit,{} \\spadignore{i.e.} is invertible.")) (|associates?| (((|Boolean|) $ $) "\\spad{associates?(x,y)} tests whether \\spad{x} and \\spad{y} are associates,{} \\spadignore{i.e.} differ by a unit factor.")) (|unitCanonical| (($ $) "\\spad{unitCanonical(x)} returns \\spad{unitNormal(x).canonical}.")) (|unitNormal| (((|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $)) $) "\\spad{unitNormal(x)} tries to choose a canonical element from the associate class of \\spad{x}. The attribute canonicalUnitNormal,{} if asserted,{} means that the \"canonical\" element is the same across all associates of \\spad{x} if \\spad{unitNormal(x) = [u,c,a]} then \\spad{u*c = x},{} \\spad{a*u = 1}.")) (|exquo| (((|Union| $ "failed") $ $) "\\spad{exquo(a,b)} either returns an element \\spad{c} such that \\spad{c*b=a} or \"failed\" if no such element can be found.")))
@@ -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 -3944)
+(-572 R -3969)
((|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 -3944 L)
+(-575 R -3969 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 -3944 UP UPUP R)
+(-577 -3969 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 -3944 UP)
+(-578 -3969 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 -3944 L)
+(-580 R -3969 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 -3944)
+(-581 R -3969)
((|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 -3944 UP)
+(-582 -3969 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
@@ -2264,27 +2264,27 @@ NIL
((|constructor| (NIL "Provides integer testing and retraction functions. Date Created: March 1990 Date Last Updated: 9 April 1991")) (|integerIfCan| (((|Union| (|Integer|) "failed") |#1|) "\\spad{integerIfCan(x)} returns \\spad{x} as an integer,{} \"failed\" if \\spad{x} is not an integer.")) (|integer?| (((|Boolean|) |#1|) "\\spad{integer?(x)} is \\spad{true} if \\spad{x} is an integer,{} \\spad{false} otherwise.")) (|integer| (((|Integer|) |#1|) "\\spad{integer(x)} returns \\spad{x} as an integer; error if \\spad{x} is not an integer.")))
NIL
NIL
-(-584 -3944)
+(-584 -3969)
((|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
(-585 R)
((|constructor| (NIL "\\indented{1}{+ Author: Mike Dewar} + Date Created: November 1996 + Date Last Updated: + Basic Functions: + Related Constructors: + Also See: + AMS Classifications: + Keywords: + References: + Description: + This domain is an implementation of interval arithmetic and transcendental + functions over intervals.")))
-((-2754 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-2764 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
(-586)
((|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 -3944)
+(-587 R -3969)
((|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 -3944 UP)
+(-588 -3969 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 -3944)
+(-589 R -3969)
((|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 -3944)
+(-597 -3969)
((|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 -3944)
+(-598 E -3969)
((|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 -3944)
+(-599 R -3969)
((|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))
-((-2179 (-12 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146))))) (-12 (|HasCategory| (-146) (QUOTE (-1133))) (|HasCategory| (-146) (|%list| (QUOTE -321) (QUOTE (-146)))))) (-2179 (|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)))) (-2179 (|HasCategory| (-146) (QUOTE (-872))) (|HasCategory| (-146) (QUOTE (-1133)))) (|HasCategory| (-146) (QUOTE (-872))) (-2179 (|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))))))
+((-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))))))
(-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))) (-2179 (|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 -4236) (|%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))) (-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))))))
(-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 -3944 FG)
+(-614 R -3969 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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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 -2179 (-2373 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4505 . T) (-4504 . T))
-((-2179 (|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|)))) (-2179 (-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 -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|))))
(-621)
((|constructor| (NIL "This is the datatype for the JVM bytecodes.")))
NIL
@@ -2439,7 +2439,7 @@ NIL
(-627 |Entry|)
((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")))
((-4510 . T) (-4511 . T))
-((-12 (|HasCategory| (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (QUOTE (-1191))) (|%list| (QUOTE |:|) (QUOTE -1868) (|devaluate| |#1|)))))) (|HasCategory| (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| (-1191) (QUOTE (-872))) (|HasCategory| (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 (-1191)) (|:| -1868 |#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|)))))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| (-1191) (QUOTE (-872))) (|HasCategory| (-2 (|:| -3672 (-1191)) (|:| -1922 |#1|)) (QUOTE (-1133))) (|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))))
(-628 S |Key| |Entry|)
((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,t)} tests if \\spad{k} is a key in table \\spad{t}.")))
NIL
@@ -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| $) "\\spad{convert(a)} transforms a into an element of \\spad{S}.")))
NIL
NIL
-(-634 -3944 UP)
+(-634 -3969 UP)
((|constructor| (NIL "\\spadtype{Kovacic} provides a modified Kovacic's algorithm for solving explicitely irreducible 2nd order linear ordinary differential equations.")) (|kovacic| (((|Union| (|SparseUnivariatePolynomial| (|Fraction| |#2|)) "failed") (|Fraction| |#2|) (|Fraction| |#2|) (|Fraction| |#2|) (|Mapping| (|Factored| |#2|) |#2|)) "\\spad{kovacic(a_0,a_1,a_2,ezfactor)} returns either \"failed\" or \\spad{P}(\\spad{u}) such that \\spad{\\$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 -3944)
+(-641 R -3969)
((|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 -3944)
+(-648 R -3969)
((|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| -3944)
+(-650 |lv| -3969)
((|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))
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+((-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))))
(-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 -2179 (-2373 (|has| |#2| (-380 |#1|)) (|has| |#1| (-571))) (-12 (|has| |#2| (-432 |#1|)) (|has| |#1| (-571)))) (-4505 . T) (-4504 . T))
-((-2179 (|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|)))) (-2179 (-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 -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|))))
(-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
@@ -2563,7 +2563,7 @@ NIL
(-658 S R)
((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}'s exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,...,vn], u)} returns \\spad{[c1,...,cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}'s exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,...,vn])} returns \\spad{[c1,...,cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}'s are 0,{} \"failed\" if the \\spad{vi}'s are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,...,vn])} returns \\spad{true} if the \\spad{vi}'s are linearly dependent over \\spad{S},{} \\spad{false} otherwise.")))
NIL
-((-2361 (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-376))))
+((-2345 (|HasCategory| |#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-376))))
(-659 K B)
((|constructor| (NIL "A simple data structure for elements that form a vector space of finite dimension over a given field,{} with a given symbolic basis.")) (|coordinates| (((|Vector| |#1|) $) "\\spad{coordinates x} returns the coordinates of the linear element with respect to the basis \\spad{B}.")) (|linearElement| (($ (|List| |#1|)) "\\spad{linearElement [x1,..,xn]} returns a linear element \\indented{1}{with coordinates \\spad{[x1,..,xn]} with respect to} the basis elements \\spad{B}.")))
((-4505 . T) (-4504 . T))
@@ -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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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 -3944 L)
+(-675 R -3969 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 -3614)
+(-676 A -3083)
((|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 -3944 UP)
+(-681 -3969 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 -3944 |Row| |Col| M)
+(-689 -3969 |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 -3944)
+(-690 -3969)
((|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)))) (-2179 (-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))) (-2179 (|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)))) (-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))))
(-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
-((-2179 (-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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|)))))
+((-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|)))))
(-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))
-((-2179 (-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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|)))))
+((-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|)))))
(-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.")) (|autoCoerce| ((|#1| $) "\\spad{autoCoerce} is a courtesy coercion function used by the compiler in case it knows that `x' really is a \\spadtype{T}.")) (|case| (((|Boolean|) $ (|[\|\|]| |nothing|)) "\\spad{x case nothing} holds if the value for \\spad{x} is missing.") (((|Boolean|) $ (|[\|\|]| |#1|)) "\\spad{x case T} returns \\spad{true} if \\spad{x} is actually a data of type \\spad{T}.")) (|just| (($ |#1|) "\\spad{just x} injects the value `x' into \\%.")))
NIL
NIL
-(-714 S -3944 FLAF FLAS)
+(-714 S -3969 FLAF FLAS)
((|constructor| (NIL "\\indented{1}{\\spadtype{MultiVariableCalculusFunctions} Package provides several} \\indented{1}{functions for multivariable calculus.} These include gradient,{} hessian and jacobian,{} divergence and laplacian. Various forms for banded and sparse storage of matrices are included.")) (|bandedJacobian| (((|Matrix| |#2|) |#3| |#4| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{bandedJacobian(vf,xlist,kl,ku)} computes the jacobian,{} the matrix of first partial derivatives,{} of the vector field \\spad{vf},{} \\spad{vf} a vector function of the variables listed in \\spad{xlist},{} \\spad{kl} is the number of nonzero subdiagonals,{} \\spad{ku} is the number of nonzero superdiagonals,{} \\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}.")))
NIL
NIL
@@ -2794,8 +2794,8 @@ NIL
NIL
(-716)
((|constructor| (NIL "A domain which models the complex number representation used by machines in the AXIOM-NAG link.")) (|coerce| (((|Complex| (|Float|)) $) "\\spad{coerce(u)} transforms \\spad{u} into a COmplex Float") (($ (|Complex| (|MachineInteger|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|MachineFloat|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Integer|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex") (($ (|Complex| (|Float|))) "\\spad{coerce(u)} transforms \\spad{u} into a MachineComplex")))
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+((-4503 . T) (-4508 |has| (-721) (-376)) (-4502 |has| (-721) (-376)) (-2775 . T) (-4509 |has| (-721) (-6 -4509)) (-4506 |has| (-721) (-6 -4506)) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
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(-717 S)
((|constructor| (NIL "A multi-dictionary is a dictionary which may contain duplicates. As for any dictionary,{} its size is assumed large so that copying (non-destructive) operations are generally to be avoided.")) (|duplicates| (((|List| (|Record| (|:| |entry| |#1|) (|:| |count| (|NonNegativeInteger|)))) $) "\\spad{duplicates(d)} returns a list of values which have duplicates in \\spad{d}")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(d)} destructively removes any duplicate values in dictionary \\spad{d}.")) (|insert!| (($ |#1| $ (|NonNegativeInteger|)) "\\spad{insert!(x,d,n)} destructively inserts \\spad{n} copies of \\spad{x} into dictionary \\spad{d}.")))
((-4511 . T))
@@ -2808,13 +2808,13 @@ NIL
((|constructor| (NIL "\\indented{1}{<description of package>} Author: Jim Wen Date Created: ?? Date Last Updated: October 1991 by Jon Steinbach Keywords: Examples: References:")) (|ptFunc| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{ptFunc(a,b,c,d)} is an internal function exported in order to compile packages.")) (|meshPar1Var| (((|ThreeSpace| (|DoubleFloat|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Expression| (|Integer|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar1Var(s,t,u,f,s1,l)} \\undocumented")) (|meshFun2Var| (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshFun2Var(f,g,s1,s2,l)} \\undocumented")) (|meshPar2Var| (((|ThreeSpace| (|DoubleFloat|)) (|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(sp,f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,s1,s2,l)} \\undocumented") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Union| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) "undefined") (|Segment| (|DoubleFloat|)) (|Segment| (|DoubleFloat|)) (|List| (|DrawOption|))) "\\spad{meshPar2Var(f,g,h,j,s1,s2,l)} \\undocumented")))
NIL
NIL
-(-720 OV E -3944 PG)
+(-720 OV E -3969 PG)
((|constructor| (NIL "Package for factorization of multivariate polynomials over finite fields.")) (|factor| (((|Factored| (|SparseUnivariatePolynomial| |#4|)) (|SparseUnivariatePolynomial| |#4|)) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field. \\spad{p} is represented as a univariate polynomial with multivariate coefficients over a finite field.") (((|Factored| |#4|) |#4|) "\\spad{factor(p)} produces the complete factorization of the multivariate polynomial \\spad{p} over a finite field.")))
NIL
NIL
(-721)
((|constructor| (NIL "A domain which models the floating point representation used by machines in the AXIOM-NAG link.")) (|changeBase| (($ (|Integer|) (|Integer|) (|PositiveInteger|)) "\\spad{changeBase(exp,man,base)} \\undocumented{}")) (|exponent| (((|Integer|) $) "\\spad{exponent(u)} returns the exponent of \\spad{u}")) (|mantissa| (((|Integer|) $) "\\spad{mantissa(u)} returns the mantissa of \\spad{u}")) (|coerce| (($ (|MachineInteger|)) "\\spad{coerce(u)} transforms a MachineInteger into a MachineFloat") (((|Float|) $) "\\spad{coerce(u)} transforms a MachineFloat to a standard Float")) (|minimumExponent| (((|Integer|)) "\\spad{minimumExponent()} returns the minimum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{minimumExponent(e)} sets the minimum exponent in the model to \\spad{e}")) (|maximumExponent| (((|Integer|)) "\\spad{maximumExponent()} returns the maximum exponent in the model") (((|Integer|) (|Integer|)) "\\spad{maximumExponent(e)} sets the maximum exponent in the model to \\spad{e}")) (|base| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{base(b)} sets the base of the model to \\spad{b}")) (|precision| (((|PositiveInteger|)) "\\spad{precision()} returns the number of digits in the model") (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{precision(p)} sets the number of digits in the model to \\spad{p}")))
-((-2754 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
+((-2764 . T) (-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
(-722 R)
((|constructor| (NIL "\\indented{1}{Modular hermitian row reduction.} Author: Manuel Bronstein Date Created: 22 February 1989 Date Last Updated: 24 November 1993 Keywords: matrix,{} reduction.")) (|normalizedDivide| (((|Record| (|:| |quotient| |#1|) (|:| |remainder| |#1|)) |#1| |#1|) "\\spad{normalizedDivide(n,d)} returns a normalized quotient and remainder such that consistently unique representatives for the residue class are chosen,{} \\spadignore{e.g.} positive remainders")) (|rowEchelonLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1| |#1|) "\\spad{rowEchelonLocal(m, d, p)} computes the row-echelon form of \\spad{m} concatenated with \\spad{d} times the identity matrix over a local ring where \\spad{p} is the only prime.")) (|rowEchLocal| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchLocal(m,p)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus over a local ring where \\spad{p} is the only prime.")) (|rowEchelon| (((|Matrix| |#1|) (|Matrix| |#1|) |#1|) "\\spad{rowEchelon(m, d)} computes a modular row-echelon form mod \\spad{d} of \\indented{3}{[\\spad{d}\\space{5}]} \\indented{3}{[\\space{2}\\spad{d}\\space{3}]} \\indented{3}{[\\space{4}. ]} \\indented{3}{[\\space{5}\\spad{d}]} \\indented{3}{[\\space{3}\\spad{M}\\space{2}]} where \\spad{M = m mod d}.")) (|rowEch| (((|Matrix| |#1|) (|Matrix| |#1|)) "\\spad{rowEch(m)} computes a modular row-echelon form of \\spad{m},{} finding an appropriate modulus.")))
@@ -2840,7 +2840,7 @@ NIL
((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,b)} creates a record object with type Record(part1:S,{} part2:R),{} where \\spad{part1} is \\spad{a} and \\spad{part2} is \\spad{b}.")))
NIL
NIL
-(-728 S -1570 I)
+(-728 S -1619 I)
((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr, x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function")))
NIL
NIL
@@ -2860,14 +2860,14 @@ NIL
((|constructor| (NIL "\\spadtype{MathMLFormat} provides a coercion from \\spadtype{OutputForm} to MathML format.")) (|display| (((|Void|) (|String|)) "prints the string returned by coerce,{} adding <math ...> tags.")) (|exprex| (((|String|) (|OutputForm|)) "coverts \\spadtype{OutputForm} to \\spadtype{String} with the structure preserved with braces. Actually this is not quite accurate. The function \\spadfun{precondition} is first applied to the \\spadtype{OutputForm} expression before \\spadfun{exprex}. The raw \\spadtype{OutputForm} and the nature of the \\spadfun{precondition} function is still obscure to me at the time of this writing (2007-02-14).")) (|coerceL| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format and displays result as one long string.")) (|coerceS| (((|String|) (|OutputForm|)) "\\spad{coerceS(o)} changes \\spad{o} in the standard output format to MathML format and displays formatted result.")) (|coerce| (((|String|) (|OutputForm|)) "coerceS(\\spad{o}) changes \\spad{o} in the standard output format to MathML format.")))
NIL
NIL
-(-733 R |Mod| -2227 -3468 |exactQuo|)
+(-733 R |Mod| -3626 -2165 |exactQuo|)
((|constructor| (NIL "\\indented{1}{These domains are used for the factorization and gcds} of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{ModularRing},{} \\spadtype{EuclideanModularRing}")) (|exQuo| (((|Union| $ "failed") $ $) "\\spad{exQuo(x,y)} \\undocumented")) (|reduce| (($ |#1| |#2|) "\\spad{reduce(r,m)} \\undocumented")) (|coerce| ((|#1| $) "\\spad{coerce(x)} \\undocumented")) (|modulus| ((|#2| $) "\\spad{modulus(x)} \\undocumented")))
((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
(-734 R |Rep|)
((|constructor| (NIL "This package \\undocumented")) (|frobenius| (($ $) "\\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 . T))
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(-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| (($ $ $) "\\spad{adjoint(op1, op2)} sets the adjoint of \\spad{op1} to be \\spad{op2}. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}.")))
((-4505 |has| |#1| (-175)) (-4504 |has| |#1| (-175)) (-4507 . T))
((|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))))
-(-737 R |Mod| -2227 -3468 |exactQuo|)
+(-737 R |Mod| -3626 -2165 |exactQuo|)
((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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 -3944)
+(-740 -3969)
((|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 -3944 UP)
+(-749 -3969 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))
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(-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 -3944)
+(-787 -3969)
((|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 -3944)
+(-788 P -3969)
((|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 -3944)
+(-790 UP -3969)
((|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
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((|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 -3944 |ExtF| |SUEx| |ExtP| |n|)
+(-799 -3969 |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.")))
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(-803 R)
((|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| $) "\\axiom{fmecg(\\spad{p1},{}\\spad{e},{}\\spad{r},{}\\spad{p2})} returns \\axiom{\\spad{p1} - \\spad{r} * X**e * \\spad{p2}} where \\axiom{\\spad{X}} is \\axiom{monomial(1,{}1)}")))
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(-804 R S)
((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly.")))
NIL
@@ -3219,8 +3219,8 @@ NIL
(-822 R)
((|constructor| (NIL "Octonion implements octonions (Cayley-Dixon algebra) over a commutative ring,{} an eight-dimensional non-associative algebra,{} doubling the quaternions in the same way as doubling the complex numbers to get the quaternions the main constructor function is {\\em octon} which takes 8 arguments: the real part,{} the \\spad{i} imaginary part,{} the \\spad{j} imaginary part,{} the \\spad{k} imaginary part,{} (as with quaternions) and in addition the imaginary parts \\spad{E},{} \\spad{I},{} \\spad{J},{} \\spad{K}.")) (|octon| (($ (|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))
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-(-823 -2179 R OS S)
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+(-823 -2171 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 -3944 L)
+(-825 R -3969 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 -3944)
+(-826 R -3969)
((|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 -3944)
+(-828 R -3969)
((|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 -3944 UP UPUP R)
+(-830 -3969 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 -3944 UP L LQ)
+(-831 -3969 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 -3944 UP L LQ)
+(-833 -3969 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 -3944 UP)
+(-834 -3969 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 -3944 L UP A LO)
+(-835 -3969 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 -3944 UP)
+(-836 -3969 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 -3944 LO)
+(-837 -3969 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 -3944 LODO)
+(-838 -3969 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)]}.")))
NIL
NIL
-(-839 -3504 S |f|)
+(-839 -3613 S |f|)
((|constructor| (NIL "\\indented{2}{This type represents the finite direct or cartesian product of an} underlying ordered component type. The ordering on the type is determined by its third argument which represents the less than function on vectors. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}.")))
((-4504 |has| |#2| (-1081)) (-4505 |has| |#2| (-1081)) (-4507 |has| |#2| (-6 -4507)) (-4510 . T))
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|#2| (QUOTE (-240))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-376))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-381))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-748))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-817))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-872))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560))))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-560)))))) (|HasCategory| (-560) (QUOTE (-872))) (-12 (|HasCategory| |#2| (|%list| (QUOTE -660) (QUOTE (-560)))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-239))) (|HasCategory| |#2| (QUOTE (-1081)))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (|HasCategory| |#2| (|%list| (QUOTE -930) (QUOTE (-1209))))) (-2171 (|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))) (-2179 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2179 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2179 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2179 (|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)))) (-2179 (|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)))) (-2179 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147)))))
+((|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)))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2179 (|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))) (-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))))
(-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| (($) "\\spad{plusInfinity()} returns +infinity.")))
((-4507 |has| |#1| (-871)))
-((|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-21))) (-2179 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2179 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559))))
+((|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (QUOTE (-21))) (-2171 (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-871)))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (-2171 (|HasCategory| |#1| (QUOTE (-871))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560))))) (|HasCategory| |#1| (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| |#1| (QUOTE (-559))))
(-867 R S)
((|constructor| (NIL "Lifting of maps to ordered completions. Date Created: 4 Oct 1989 Date Last Updated: 4 Oct 1989")) (|map| (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|) (|OrderedCompletion| |#2|) (|OrderedCompletion| |#2|)) "\\spad{map(f, r, p, m)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = \\spad{p} and that \\spad{f}(minusInfinity) = \\spad{m}.") (((|OrderedCompletion| |#2|) (|Mapping| |#2| |#1|) (|OrderedCompletion| |#1|)) "\\spad{map(f, r)} lifts \\spad{f} and applies it to \\spad{r},{} assuming that \\spad{f}(plusInfinity) = plusInfinity and that \\spad{f}(minusInfinity) = minusInfinity.")))
NIL
@@ -3404,7 +3404,7 @@ NIL
((|constructor| (NIL "Ordered finite sets.")) (|max| (($) "\\spad{max} is the maximum value of \\%.")) (|min| (($) "\\spad{min} is the minimum value of \\%.")))
NIL
NIL
-(-869 -3504 S)
+(-869 -3613 S)
((|constructor| (NIL "\\indented{3}{This package provides ordering functions on vectors which} are suitable parameters for OrderedDirectProduct.")) (|reverseLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{reverseLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by the reverse lexicographic ordering.")) (|totalLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{totalLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the ordering which is total degree refined by lexicographic ordering.")) (|pureLex| (((|Boolean|) (|Vector| |#2|) (|Vector| |#2|)) "\\spad{pureLex(v1,v2)} return \\spad{true} if the vector \\spad{v1} is less than the vector \\spad{v2} in the lexicographic ordering.")))
NIL
NIL
@@ -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| -3157)
+(-879 R |sigma| -3234)
((|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| -3157)
+(-880 |x| R |sigma| -3234)
((|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))) (-2179 (|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)))) (-2179 (-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))) (-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)))))
(-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))) (-2179 (|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)))) (-2179 (-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))) (-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)))))
(-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)))) (-2179 (-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)))) (-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))))))
(-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
@@ -3583,7 +3583,7 @@ NIL
(-913 |Base| |Subject| |Pat|)
((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,...,vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr, pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,...,vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,...,en], pat)} matches the pattern pat on the list of expressions \\spad{[e1,...,en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,...,en], pat)} tests if the list of expressions \\spad{[e1,...,en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr, pat)} tests if the expression \\spad{expr} matches the pattern pat.")))
NIL
-((-12 (-2361 (|HasCategory| |#2| (QUOTE (-1081)))) (-2361 (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (-2361 (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))))
+((-12 (-2345 (|HasCategory| |#2| (QUOTE (-1081)))) (-2345 (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))))) (-12 (|HasCategory| |#2| (QUOTE (-1081))) (-2345 (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))))) (|HasCategory| |#2| (|%list| (QUOTE -1070) (QUOTE (-1209)))))
(-914 R S)
((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r, p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don't,{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,e1],...,[vn,en])} returns the match result containing the matches (\\spad{v1},{}\\spad{e1}),{}...,{}(vn,{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var, expr, r, val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var, expr, r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var, r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a, b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match.")))
NIL
@@ -3596,7 +3596,7 @@ NIL
((|constructor| (NIL "Patterns for use by the pattern matcher.")) (|optpair| (((|Union| (|List| $) "failed") (|List| $)) "\\spad{optpair(l)} returns \\spad{l} has the form \\spad{[a, b]} and a is optional,{} and \"failed\" otherwise.")) (|variables| (((|List| $) $) "\\spad{variables(p)} returns the list of matching variables appearing in \\spad{p}.")) (|getBadValues| (((|List| (|Any|)) $) "\\spad{getBadValues(p)} returns the list of \"bad values\" for \\spad{p}. Note: \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (($ $ (|Any|)) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}. Note: \\spad{p} is not allowed to match any of its \"bad values\".")) (|resetBadValues| (($ $) "\\spad{resetBadValues(p)} initializes the list of \"bad values\" for \\spad{p} to \\spad{[]}. Note: \\spad{p} is not allowed to match any of its \"bad values\".")) (|hasTopPredicate?| (((|Boolean|) $) "\\spad{hasTopPredicate?(p)} tests if \\spad{p} has a top-level predicate.")) (|topPredicate| (((|Record| (|:| |var| (|List| (|Symbol|))) (|:| |pred| (|Any|))) $) "\\spad{topPredicate(x)} returns \\spad{[[a1,...,an], f]} where the top-level predicate of \\spad{x} is \\spad{f(a1,...,an)}. Note: \\spad{n} is 0 if \\spad{x} has no top-level predicate.")) (|setTopPredicate| (($ $ (|List| (|Symbol|)) (|Any|)) "\\spad{setTopPredicate(x, [a1,...,an], f)} returns \\spad{x} with the top-level predicate set to \\spad{f(a1,...,an)}.")) (|patternVariable| (($ (|Symbol|) (|Boolean|) (|Boolean|) (|Boolean|)) "\\spad{patternVariable(x, c?, o?, m?)} creates a pattern variable \\spad{x},{} which is constant if \\spad{c? = true},{} optional if \\spad{o? = true},{} and multiple if \\spad{m? = true}.")) (|withPredicates| (($ $ (|List| (|Any|))) "\\spad{withPredicates(p, [p1,...,pn])} makes a copy of \\spad{p} and attaches the predicate \\spad{p1} and ... and pn to the copy,{} which is returned.")) (|setPredicates| (($ $ (|List| (|Any|))) "\\spad{setPredicates(p, [p1,...,pn])} attaches the predicate \\spad{p1} and ... and pn to \\spad{p}.")) (|predicates| (((|List| (|Any|)) $) "\\spad{predicates(p)} returns \\spad{[p1,...,pn]} such that the predicate attached to \\spad{p} is \\spad{p1} and ... and pn.")) (|hasPredicate?| (((|Boolean|) $) "\\spad{hasPredicate?(p)} tests if \\spad{p} has predicates attached to it.")) (|optional?| (((|Boolean|) $) "\\spad{optional?(p)} tests if \\spad{p} is a single matching variable which can match an identity.")) (|multiple?| (((|Boolean|) $) "\\spad{multiple?(p)} tests if \\spad{p} is a single matching variable allowing list matching or multiple term matching in a sum or product.")) (|generic?| (((|Boolean|) $) "\\spad{generic?(p)} tests if \\spad{p} is a single matching variable.")) (|constant?| (((|Boolean|) $) "\\spad{constant?(p)} tests if \\spad{p} contains no matching variables.")) (|symbol?| (((|Boolean|) $) "\\spad{symbol?(p)} tests if \\spad{p} is a symbol.")) (|quoted?| (((|Boolean|) $) "\\spad{quoted?(p)} tests if \\spad{p} is of the form 's for a symbol \\spad{s}.")) (|inR?| (((|Boolean|) $) "\\spad{inR?(p)} tests if \\spad{p} is an atom (\\spadignore{i.e.} an element of \\spad{R}).")) (|copy| (($ $) "\\spad{copy(p)} returns a recursive copy of \\spad{p}.")) (|convert| (($ (|List| $)) "\\spad{convert([a1,...,an])} returns the pattern \\spad{[a1,...,an]}.")) (|depth| (((|NonNegativeInteger|) $) "\\spad{depth(p)} returns the nesting level of \\spad{p}.")) (/ (($ $ $) "\\spad{a / b} returns the pattern \\spad{a / b}.")) (** (($ $ $) "\\spad{a ** b} returns the pattern \\spad{a ** b}.") (($ $ (|NonNegativeInteger|)) "\\spad{a ** n} returns the pattern \\spad{a ** n}.")) (* (($ $ $) "\\spad{a * b} returns the pattern \\spad{a * b}.")) (+ (($ $ $) "\\spad{a + b} returns the pattern \\spad{a + b}.")) (|elt| (($ (|BasicOperator|) (|List| $)) "\\spad{elt(op, [a1,...,an])} returns \\spad{op(a1,...,an)}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| $)) "failed") $) "\\spad{isPower(p)} returns \\spad{[a, b]} if \\spad{p = a ** b},{} and \"failed\" otherwise.")) (|isList| (((|Union| (|List| $) "failed") $) "\\spad{isList(p)} returns \\spad{[a1,...,an]} if \\spad{p = [a1,...,an]},{} \"failed\" otherwise.")) (|isQuotient| (((|Union| (|Record| (|:| |num| $) (|:| |den| $)) "failed") $) "\\spad{isQuotient(p)} returns \\spad{[a, b]} if \\spad{p = a / b},{} and \"failed\" otherwise.")) (|isExpt| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|NonNegativeInteger|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[q, n]} if \\spad{n > 0} and \\spad{p = q ** n},{} and \"failed\" otherwise.")) (|isOp| (((|Union| (|Record| (|:| |op| (|BasicOperator|)) (|:| |arg| (|List| $))) "failed") $) "\\spad{isOp(p)} returns \\spad{[op, [a1,...,an]]} if \\spad{p = op(a1,...,an)},{} and \"failed\" otherwise.") (((|Union| (|List| $) "failed") $ (|BasicOperator|)) "\\spad{isOp(p, op)} returns \\spad{[a1,...,an]} if \\spad{p = op(a1,...,an)},{} and \"failed\" otherwise.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,...,an]} if \\spad{n > 1} and \\spad{p = a1 * ... * an},{} and \"failed\" otherwise.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[a1,...,an]} if \\spad{n > 1} \\indented{1}{and \\spad{p = a1 + ... + an},{}} and \"failed\" otherwise.")) ((|One|) (($) "1")) ((|Zero|) (($) "0")))
NIL
NIL
-(-917 R -1570)
+(-917 R -1619)
((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p, v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,...,vn], p)} returns \\spad{f(v1,...,vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v, p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p, [a1,...,an], f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,...,an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p, [f1,...,fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and fn to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p, f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned.")))
NIL
NIL
@@ -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 -3944)
+(-924 UP -3969)
((|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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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|))) $) "\\spad{listRepresentation(p)} produces a representation {\\em rep} of the permutation \\spad{p} as a list of preimages and images,{} \\spad{i}.\\spad{e} \\spad{p} maps {\\em (rep.preimage).k} to {\\em (rep.image).k} for all indices \\spad{k}. Elements of \\spad{S} not in {\\em (rep.preimage).k} are fixed points,{} and these are the only fixed points of the permutation.")))
((-4507 . T))
-((-2179 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872))))
+((-2171 (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872)))) (|HasCategory| |#1| (QUOTE (-381))) (|HasCategory| |#1| (QUOTE (-872))))
(-933 |n| R)
((|constructor| (NIL "Permanent implements the functions {\\em permanent},{} the permanent for square matrices.")) (|permanent| ((|#2| (|SquareMatrix| |#1| |#2|)) "\\spad{permanent(x)} computes the permanent of a square matrix \\spad{x}. The {\\em permanent} is equivalent to the \\spadfun{determinant} except that coefficients have no change of sign. This function is much more difficult to compute than the {\\em determinant}. The formula used is by \\spad{H}.\\spad{J}. Ryser,{} improved by [Nijenhuis and Wilf,{} Ch. 19]. Note: permanent(\\spad{x}) choose one of three algorithms,{} depending on the underlying ring \\spad{R} and on \\spad{n},{} the number of rows (and columns) of x:\\begin{items} \\item 1. if 2 has an inverse in \\spad{R} we can use the algorithm of \\indented{3}{[Nijenhuis and Wilf,{} ch.19,{}\\spad{p}.158]; if 2 has no inverse,{}} \\indented{3}{some modifications are necessary:} \\item 2. if {\\em n > 6} and \\spad{R} is an integral domain with characteristic \\indented{3}{different from 2 (the algorithm works if and only 2 is not a} \\indented{3}{zero-divisor of \\spad{R} and {\\em characteristic()\\$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 -3944 UP UPUP R)
+(-941 R0 -3969 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 -3944)
+(-948 -3969)
((|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| -3944)
+(-952 |xx| -3969)
((|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 -3944 P)
+(-953 -3969 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 -3944)
+(-960 R -3969)
((|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 -3944)
+(-962 S R -3969)
((|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
@@ -3796,11 +3796,11 @@ NIL
((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p, pat, res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p, pat, res, vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables.")))
NIL
((|HasCategory| |#3| (|%list| (QUOTE -912) (|devaluate| |#1|))))
-(-967 -1570)
+(-967 -1619)
((|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 -3944 -1570)
+(-968 R -3969 -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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2179 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-940)))) (-2179 (|HasCategory| |#1| (QUOTE (-466))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2179 (|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)))) (-2179 (|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)))) (-2179 (-12 (|HasCategory| $ (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-940)))) (|HasCategory| |#1| (QUOTE (-147)))))
+((|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)))))
(-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 -3944)
+(-981 E V R P -3969)
((|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 -3944)
+(-983 E V R P -3969)
((|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))) (-2179 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2179 (|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))) (-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)))
(-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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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 -3944)
+(-991 -3969)
((|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))))
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(-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 -3944)
+(-1017 K R UP -3969)
((|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))
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(-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))
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(-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| (($ $) "\\spad{sqrt(x)} returns the square root of \\spad{x}.")))
NIL
NIL
-(-1035 -3944 UP UPUP |radicnd| |n|)
+(-1035 -3969 UP UPUP |radicnd| |n|)
((|constructor| (NIL "Function field defined by y**n = \\spad{f}(\\spad{x}).")))
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(-1036 |bb|)
((|constructor| (NIL "This domain allows rational numbers to be presented as repeating decimal expansions or more generally as repeating expansions in any base.")) (|fractRadix| (($ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{fractRadix(pre,cyc)} creates a fractional radix expansion from a list of prefix ragits and a list of cyclic ragits. For example,{} \\spad{fractRadix([1],[6])} will return \\spad{0.16666666...}.")) (|wholeRadix| (($ (|List| (|Integer|))) "\\spad{wholeRadix(l)} creates an integral radix expansion from a list of ragits. For example,{} \\spad{wholeRadix([1,3,4])} will return \\spad{134}.")) (|cycleRagits| (((|List| (|Integer|)) $) "\\spad{cycleRagits(rx)} returns the cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{cycleRagits(x) = [7,1,4,2,8,5]}.")) (|prefixRagits| (((|List| (|Integer|)) $) "\\spad{prefixRagits(rx)} returns the non-cyclic part of the ragits of the fractional part of a radix expansion. For example,{} if \\spad{x = 3/28 = 0.10 714285 714285 ...},{} then \\spad{prefixRagits(x)=[1,0]}.")) (|fractRagits| (((|Stream| (|Integer|)) $) "\\spad{fractRagits(rx)} returns the ragits of the fractional part of a radix expansion.")) (|wholeRagits| (((|List| (|Integer|)) $) "\\spad{wholeRagits(rx)} returns the ragits of the integer part of a radix expansion.")) (|fractionPart| (((|Fraction| (|Integer|)) $) "\\spad{fractionPart(rx)} returns the fractional part of a radix expansion.")))
((-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))) (-2179 (|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)))) (-2179 (-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))) (-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)))))
(-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 -3944)
+(-1045 R -3969)
((|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 -3944)
+(-1046 R -3969)
((|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 -3944 UP)
+(-1047 -3969 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 -3944 UP)
+(-1048 -3969 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))
-((-2179 (|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 -3944 L)
+((-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)
((|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 -3944 |Expon| |VarSet| |FPol| |LFPol|)
+(-1066 -3969 |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))
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+((-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))))
(-1068)
((|constructor| (NIL "This domain represents `return' expressions.")) (|expression| (((|SpadAst|) $) "\\spad{expression(e)} returns the expression returned by `e'.")))
NIL
@@ -4256,7 +4256,7 @@ NIL
((|constructor| (NIL "The category of rings with unity,{} always associative,{} but not necessarily commutative.")) (|unitsKnown| ((|attribute|) "recip truly yields reciprocal or \"failed\" if not a unit. Note: \\spad{recip(0) = \"failed\"}.")) (|characteristic| (((|NonNegativeInteger|)) "\\spad{characteristic()} returns the characteristic of the ring this is the smallest positive integer \\spad{n} such that \\spad{n*x=0} for all \\spad{x} in the ring,{} or zero if no such \\spad{n} exists.")))
((-4507 . T))
NIL
-(-1082 |xx| -3944)
+(-1082 |xx| -3969)
((|constructor| (NIL "This package exports rational interpolation algorithms")))
NIL
NIL
@@ -4275,7 +4275,7 @@ NIL
(-1086 |m| |n| R)
((|constructor| (NIL "\\spadtype{RectangularMatrix} is a matrix domain where the number of rows and the number of columns are parameters of the domain.")) (|rectangularMatrix| (($ (|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))
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+((|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)))))
(-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 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (QUOTE (-1209))) (|%list| (QUOTE |:|) (QUOTE -1868) (QUOTE (-51))))))) (-2179 (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-102))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-1133))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| (-51) (QUOTE (-1133))) (|HasCategory| (-51) (|%list| (QUOTE -321) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-1133))) (|HasCategory| (-1209) (QUOTE (-872))) (|HasCategory| (-51) (QUOTE (-1133))) (-2179 (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888))))) (-2179 (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (QUOTE (-102))) (|HasCategory| (-51) (QUOTE (-102)))) (|HasCategory| (-51) (QUOTE (-102))) (|HasCategory| (-51) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-51))) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 (-1209)) (|:| -1868 (-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))))))) (-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))))
(-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 -3944)
+(-1107 |Base| R -3969)
((|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 -3944)
+(-1109 |Base| R -3969)
((|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))
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(-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")))
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(-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)}}")))
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(-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. This type is a suitable third argument for \\spadtype{GeneralDistributedMultivariatePolynomial}.")))
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(|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 -3944)
+(-1149 R -3969)
((|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))
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(-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))) (-2179 (|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))) (-2171 (|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 -3944)
+(-1160 UP -3969)
((|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") $) "\\axiom{extractSplittingLeaf(a)} returns the left most leaf (as a tree) whose status is \\spad{false} if any,{} else \"failed\" is returned.")))
((-4510 . T) (-4511 . T))
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(-1174 |ndim| R)
((|constructor| (NIL "\\spadtype{SquareMatrix} is a matrix domain of square matrices,{} where the number of rows (= number of columns) is a parameter of the type.")) (|unitsKnown| ((|attribute|) "the invertible matrices are simply the matrices whose determinants are units in the Ring \\spad{R}.")) (|central| ((|attribute|) "the elements of the Ring \\spad{R},{} viewed as diagonal matrices,{} commute with all matrices and,{} indeed,{} are the only matrices which commute with all matrices.")) (|squareMatrix| (($ (|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))
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(-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))
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(-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))
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(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-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))) (-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))))
(-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))
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+((-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))))))
(-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))
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(-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. 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.")))
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|#1| (QUOTE (-376)))) (|HasCategory| |#1| (QUOTE (-147)))))
+(-1201 R -3969)
((|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.")))
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(-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 . T) (-4505 . T) (-4507 . T))
-((|HasCategory| |#1| (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| |#1| (QUOTE (-571))) (|HasCategory| |#1| (QUOTE (-175))) (-2179 (|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))) (-2179 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-376))) (|HasCategory| |#1| (QUOTE (-571)))) (-2179 (|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 -4236) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (|%list| (QUOTE -421) (QUOTE (-560)))))) (-2179 (-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 -2150) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2747) (|%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))) (-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|)))))))
(-1207 |Coef| |var| |cen|)
((|constructor| (NIL "Sparse Taylor series in one variable \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries} is a domain representing Taylor} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spadtype{SparseUnivariateTaylorSeries}(Integer,{}\\spad{x},{}3) represents Taylor} \\indented{2}{series in \\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x),x)} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. We may integrate a series when we can divide coefficients by integers.")) (|univariatePolynomial| (((|UnivariatePolynomial| |#2| |#1|) $ (|NonNegativeInteger|)) "\\spad{univariatePolynomial(f,k)} returns a univariate polynomial \\indented{1}{consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.}")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a \\indented{1}{Taylor series.}") (($ (|UnivariatePolynomial| |#2| |#1|)) "\\spad{coerce(p)} converts a univariate polynomial \\spad{p} in the variable \\spad{var} to a univariate Taylor series in \\spad{var}.")))
(((-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))) (-2179 (|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 -4236) (|%list| (|devaluate| |#1|) (QUOTE (-1209)))))) (|HasSignature| |#1| (|%list| (QUOTE **) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-793))))) (|HasCategory| |#1| (QUOTE (-376))) (-2179 (-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 -2150) (|%list| (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1209))))) (|HasSignature| |#1| (|%list| (QUOTE -2747) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#1|)))))))
+((|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|)))))))
(-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))) (-2179 (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-571)))) (|HasCategory| |#1| (QUOTE (-175))) (|HasCategory| |#1| (QUOTE (-147))) (|HasCategory| |#1| (QUOTE (-149))) (-2179 (|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))) (-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)))
(-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 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -321) (|%list| (QUOTE -2) (|%list| (QUOTE |:|) (QUOTE -1684) (|devaluate| |#1|)) (|%list| (QUOTE |:|) (QUOTE -1868) (|devaluate| |#2|)))))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-1133)))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -633) (QUOTE (-549)))) (-12 (|HasCategory| |#2| (QUOTE (-1133))) (|HasCategory| |#2| (|%list| (QUOTE -321) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-1133))) (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#2| (QUOTE (-1133))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888))))) (-2179 (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (QUOTE (-102))) (|HasCategory| |#2| (QUOTE (-102)))) (|HasCategory| |#2| (QUOTE (-102))) (|HasCategory| |#2| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| (-2 (|:| -1684 |#1|) (|:| -1868 |#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|)))))) (-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))))
(-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| $)) "\\spad{tree(nd,ls)} creates a tree with value \\spad{nd},{} and children \\spad{ls}.")))
((-4511 . T) (-4510 . T))
-((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2179 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2179 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))))
+((-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1133))) (-2171 (|HasCategory| |#1| (QUOTE (-102))) (|HasCategory| |#1| (QUOTE (-1133)))) (-2171 (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888))))) (|HasCategory| |#1| (|%list| (QUOTE -632) (QUOTE (-888)))) (|HasCategory| |#1| (QUOTE (-102))))
(-1237 S)
((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}.")))
NIL
@@ -4884,7 +4884,7 @@ NIL
((|constructor| (NIL "Category for the trigonometric functions.")) (|tan| (($ $) "\\spad{tan(x)} returns the tangent of \\spad{x}.")) (|sin| (($ $) "\\spad{sin(x)} returns the sine of \\spad{x}.")) (|sec| (($ $) "\\spad{sec(x)} returns the secant of \\spad{x}.")) (|csc| (($ $) "\\spad{csc(x)} returns the cosecant of \\spad{x}.")) (|cot| (($ $) "\\spad{cot(x)} returns the cotangent of \\spad{x}.")) (|cos| (($ $) "\\spad{cos(x)} returns the cosine of \\spad{x}.")))
NIL
NIL
-(-1239 R -3944)
+(-1239 R -3969)
((|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 -3944)
+(-1241 R -3969)
((|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))) (-2179 (|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))) (-2171 (|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)))))
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+(-1248 -3969)
((|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.")))
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(-1260 |Coef1| |Coef2| |var1| |var2| |cen1| |cen2|)
((|constructor| (NIL "Mapping package for univariate Laurent series \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Laurent series.}")) (|map| (((|UnivariateLaurentSeries| |#2| |#4| |#6|) (|Mapping| |#2| |#1|) (|UnivariateLaurentSeries| |#1| |#3| |#5|)) "\\spad{map(f,g(x))} applies the map \\spad{f} to the coefficients of the Laurent series \\spad{g(x)}.")))
NIL
@@ -4987,7 +4987,7 @@ NIL
(-1264 |Coef| UTS)
((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}.")))
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(-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))
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(-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
@@ -5039,7 +5039,7 @@ NIL
(-1277 S |Coef| |Expon|)
((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree <= \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents.")))
NIL
-((|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#2| (|%list| (QUOTE *) (|%list| (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1144))) (|HasSignature| |#2| (|%list| (QUOTE **) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (|%list| (QUOTE -4236) (|%list| (|devaluate| |#2|) (QUOTE (-1209))))))
+((|HasCategory| |#2| (|%list| (QUOTE -928) (QUOTE (-1209)))) (|HasSignature| |#2| (|%list| (QUOTE *) (|%list| (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1144))) (|HasSignature| |#2| (|%list| (QUOTE **) (|%list| (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (|%list| (QUOTE -2375) (|%list| (|devaluate| |#2|) (QUOTE (-1209))))))
(-1278 |Coef| |Expon|)
((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,n)} causes all terms of \\spad{f} of degree <= \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,k1,k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,n) = min(m,n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents.")))
(((-4512 "*") |has| |#1| (-175)) (-4503 |has| |#1| (-571)) (-4504 . T) (-4505 . T) (-4507 . T))
@@ -5051,7 +5051,7 @@ NIL
(-1280 |Coef| |var| |cen|)
((|constructor| (NIL "Dense Puiseux series in one variable \\indented{2}{\\spadtype{UnivariatePuiseuxSeries} is a domain representing Puiseux} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{UnivariatePuiseuxSeries(Integer,x,3)} represents Puiseux series in} \\indented{2}{\\spad{(x - 3)} with \\spadtype{Integer} coefficients.}")) (|integrate| (($ $ (|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))
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(-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))
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+((|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))))))
(-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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,f(var))}.")))
(((-4512 "*") |has| (-1280 |#2| |#3| |#4|) (-175)) (-4503 |has| (-1280 |#2| |#3| |#4|) (-571)) (-4504 . T) (-4505 . T) (-4507 . T))
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+((|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-147))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-149))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-175))) (-2171 (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -38) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560)))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (|%list| (QUOTE -421) (QUOTE (-560))))) (|HasCategory| (-1280 |#2| |#3| |#4|) (|%list| (QUOTE -1070) (QUOTE (-560)))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-376))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-466))) (|HasCategory| (-1280 |#2| |#3| |#4|) (QUOTE (-571))))
(-1287 A S)
((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|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))
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+((|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|)))))))
(-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 -2747) (|%list| (|%list| (QUOTE -663) (QUOTE (-1209))) (|devaluate| |#2|)))) (|HasSignature| |#2| (|%list| (QUOTE -2150) (|%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 -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))))
(-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 -3944 UP L UTS)
+(-1294 -3969 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))
-((-2179 (-12 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-1133))) (|HasCategory| |#1| (|%list| (QUOTE -321) (|devaluate| |#1|))))) (-2179 (-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)))) (-2179 (|HasCategory| |#1| (QUOTE (-872))) (|HasCategory| |#1| (QUOTE (-1133)))) (|HasCategory| |#1| (QUOTE (-872))) (-2179 (|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|)))))
+((-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|)))))
(-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 -3944)
+(-1309 K R UP -3969)
((|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 -3944)
+(-1317 S -3969)
((|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}.")))
NIL
((|HasCategory| |#2| (QUOTE (-381))) (|HasCategory| |#2| (QUOTE (-147))) (|HasCategory| |#2| (QUOTE (-149))))
-(-1318 -3944)
+(-1318 -3969)
((|constructor| (NIL "ExtensionField {\\em F} is the category of fields which extend the field \\spad{F}")) (|Frobenius| (($ $ (|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|) $) "\\spad{algebraic?(a)} tests whether an element \\spad{a} is algebraic with respect to the ground field \\spad{F}.")))
((-4502 . T) (-4508 . T) (-4503 . T) ((-4512 "*") . T) (-4504 . T) (-4505 . T) (-4507 . T))
NIL
diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase
index b8211e50..84c4d374 100644
--- a/src/share/algebra/category.daase
+++ b/src/share/algebra/category.daase
@@ -1,15 +1,15 @@
-(205681 . 3509594078)
-(((|#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))) ((#0=(-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) #0#) |has| (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)) (-321 (-2 (|:| -1684 |#1|) (|:| -1868 |#2|)))))
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+(205681 . 3509634653)
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(((|#1| |#1|) . T))
((($) . T) (((-421 (-560))) . T))
@@ -170,12 +170,12 @@
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(|has| |#3| (-817))
(((|#1| |#2|) . T))
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((((-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|))))
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(((|#1| (-1209) (-1120 (-1209)) (-545 (-1120 (-1209)))) . T))
((((-560) |#1|) . T))
@@ -195,29 +195,29 @@
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(((|#1|) . T))
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(((|#3| (-793)) . T))
(|has| |#1| (-149))
(|has| |#1| (-147))
((($) . T) (((-421 (-560))) . T))
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((((-421 (-560))) . T) (($) . T))
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((((-1209) |#2|) |has| |#2| (-528 (-1209) |#2|)) ((|#2| |#2|) |has| |#2| (-321 |#2|)))
((((-421 (-560))) . T) (((-560)) . T))
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(((|#1|) . T) (($) . T))
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((((-560)) . T))
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((((-560)) . T))
((((-560)) . T))
((((-421 (-560))) . T) (($) . T))
@@ -228,7 +228,7 @@
(((|#1|) . T))
(|has| |#2| (-376))
((((-1266 (-560)) $) . T) (((-560) |#1|) . T))
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((($) . T) (((-560)) . T) (((-421 (-560))) . T))
(((|#1| |#2|) . T))
((((-888)) . T))
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(((|#1|) . T))
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((((-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|) . T))
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(|has| |#1| (-376))
((((-888)) . T))
((($) . T))
@@ -269,7 +269,7 @@
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(|has| |#3| (-1081))
((((-888)) . T) (((-1214)) . T))
@@ -280,45 +280,45 @@
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(((|#1|) . T))
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(((|#1| |#2| |#3| |#4|) . T))
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((((-888)) . T))
((((-888)) . T))
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@@ -326,15 +326,15 @@
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((((-421 $) (-421 $)) |has| |#2| (-571)) (($ $) . T) ((|#2| |#2|) . T))
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(((|#1|) . T))
(|has| |#2| (-940))
((((-1191) (-51)) . T))
((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T))
((((-549)) . T) (((-229)) . T) (((-391)) . T) (((-916 (-391))) . T))
((((-888)) . T))
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(((|#1|) |has| |#1| (-175)))
(((|#1| $) |has| |#1| (-298 |#1| |#1|)))
((((-888)) . T))
@@ -349,15 +349,15 @@
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((((-936 |#1|)) . T) (($) . T) (((-421 (-560))) . T))
(((|#1|) . T))
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(((|#1| (-545 (-842 (-1209)))) . T))
(((|#1| (-1003)) . T))
((((-560)) . T) ((|#2|) . T))
@@ -369,7 +369,7 @@
(((|#1|) . T))
(((|#2| |#2|) . T))
(|has| |#1| (-1184))
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+((((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T))
(|has| (-1286 |#1| |#2| |#3| |#4|) (-147))
(|has| (-1286 |#1| |#2| |#3| |#4|) (-149))
(|has| |#1| (-147))
@@ -381,28 +381,28 @@
(((|#2|) . T))
(((|#1|) . T))
(((|#2|) . T) (((-560)) |has| |#2| (-660 (-560))))
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+((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-842 (-1209))) . T) (($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T))
(|has| |#2| (-381))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
((($) . T) ((|#1|) . T))
(((|#2|) |has| |#2| (-1081)))
((((-888)) . T))
(|has| |#1| (-871))
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(((|#1|) . T))
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((((-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))))))
((($) . T))
((((-888)) . T))
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((((-888)) . T))
((($) . T))
((($) . T))
((($) . T))
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((((-888)) . T))
((((-888)) . T))
(|has| (-1280 |#2| |#3| |#4|) (-149))
@@ -415,18 +415,18 @@
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
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(((|#1|) . T))
((($) . T))
((((-560) |#1|) . T))
(((|#2|) |has| |#2| (-175)))
(((|#1|) . T))
(((|#1|) |has| |#1| (-175)))
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((((-936 |#1|)) . T))
((((-421 |#2|) |#3|) . T))
(|has| |#1| (-15 * (|#1| (-560) |#1|)))
@@ -437,7 +437,7 @@
((((-888)) . T))
((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)))
(|has| |#1| (-376))
-(-2179 (-12 (|has| (-1289 |#1| |#2| |#3|) (-240)) (|has| |#1| (-376))) (|has| |#1| (-15 * (|#1| (-560) |#1|))))
+(-2171 (-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)) $) . T) (((-560) |#1|) . T))
((((-888)) . T))
(((|#2|) . T))
-(-2179 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
+(-2171 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
((((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)))
((($) |has| |#1| (-571)) (((-560)) . T))
(|has| |#2| (-817))
(|has| |#2| (-817))
-((((-1289 |#1| |#2| |#3|)) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2179 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-560)) . T) ((|#1|) |has| |#1| (-175)))
-((((-1296 |#2|)) . T) (((-1289 |#1| |#2| |#3|)) . T) (((-1259 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) -2179 (|has| |#1| (-376)) (|has| |#1| (-571))))
+((((-1289 |#1| |#2| |#3|)) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2171 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-560)) . T) ((|#1|) |has| |#1| (-175)))
+((((-1296 |#2|)) . T) (((-1289 |#1| |#2| |#3|)) . T) (((-1259 |#1| |#2| |#3|)) . T) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) -2171 (|has| |#1| (-376)) (|has| |#1| (-571))))
((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) (((-560)) . T))
(((|#1|) . T))
((((-1209)) -12 (|has| |#3| (-928 (-1209))) (|has| |#3| (-1081))))
(((|#1|) . T))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
(-12 (|has| |#1| (-376)) (|has| |#2| (-844)))
-(-2179 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571)))
-(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . T) (($ $) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))))
+(-2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571)))
+(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . T) (($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))))
((($ $) |has| |#1| (-571)) ((|#1| |#1|) . T))
-((($ (-1209)) -2179 (|has| (-421 |#2|) (-928 (-1209))) (|has| (-421 |#2|) (-930 (-1209)))))
+((($ (-1209)) -2171 (|has| (-421 |#2|) (-928 (-1209))) (|has| (-421 |#2|) (-930 (-1209)))))
(((#0=(-721) (-1203 #0#)) . T))
((((-595 |#1|)) . T) (((-421 (-560))) . T) (($) . T))
((((-421 (-560))) . T) (($) . T))
@@ -475,18 +475,18 @@
((((-888)) . T) (((-1299 |#3|)) . T))
((((-595 |#1|)) . T) (($) . T) (((-421 (-560))) . T))
((($) . T) (((-421 (-560))) . T))
-((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))))
+((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))))
((($) |has| |#1| (-571)) ((|#1|) . T))
((((-888)) . T))
((($) . T) (((-560)) . T) (((-421 (-560))) . T))
((($) . T))
-((($ $) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((#1=(-1289 |#1| |#2| |#3|) #1#) |has| |#1| (-376)) ((|#1| |#1|) . T))
-(((|#1| |#1|) . T) (($ $) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) . T))
-(((|#1|) . T) (($) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))))
+((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((#1=(-1289 |#1| |#2| |#3|) #1#) |has| |#1| (-376)) ((|#1| |#1|) . T))
+(((|#1| |#1|) . T) (($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) ((#0=(-421 (-560)) #0#) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) . T))
+(((|#1|) . T) (($) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))))
(((|#3|) |has| |#3| (-1081)))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
-((($ $) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))))
(|has| (-1121 |#1|) (-1133))
(((|#2| (-843 |#1|)) . T))
((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T))
@@ -494,20 +494,20 @@
(((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T))
(((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T))
(((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T))
-((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2179 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
+((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) |has| |#2| (-175)) (($) -2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
(((|#2|) . T) ((|#6|) . T))
(|has| |#1| (-376))
((((-560)) . T) ((|#2|) . T))
-((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (($) -2179 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
+((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (($) -2171 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
(((|#2|) . T) ((|#6|) . T))
-((($) -2179 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
-((($) -2179 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
(((|#1|) . T))
-((($) -2179 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
((((-421 $) (-421 $)) |has| |#1| (-571)) (($ $) . T) ((|#1| |#1|) . T))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
(((#0=(-1114) |#2|) . T) ((#0# $) . T) (($ $) . T))
((((-888)) . T))
((((-936 |#1|)) . T))
@@ -516,22 +516,22 @@
((((-246 |#1| |#2|) |#2|) . T))
((((-888)) . T))
(((|#3|) |has| |#3| (-1133)) (((-560)) -12 (|has| |#3| (-1070 (-560))) (|has| |#3| (-1133))) (((-421 (-560))) -12 (|has| |#3| (-1070 (-421 (-560)))) (|has| |#3| (-1133))))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(((|#1|) . T))
-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133))))
+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133))))
((((-549)) |has| |#1| (-633 (-549))))
(((|#1|) |has| |#1| (-175)))
-((((-2 (|:| -1684 (-1209)) (|:| -1868 (-51)))) . T))
+((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T))
(|has| |#1| (-376))
((((-1214)) . T))
(((|#1|) . T))
-(-2179 (|has| |#1| (-21)) (|has| |#1| (-871)))
+(-2171 (|has| |#1| (-21)) (|has| |#1| (-871)))
((($) . T))
((((-1209) |#1|) |has| |#1| (-528 (-1209) |#1|)) ((|#1| |#1|) |has| |#1| (-321 |#1|)))
(|has| |#2| (-844))
(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-871))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(((|#1| |#2|) . T))
(((|#1| |#2| |#3| (-545 |#3|)) . T))
((((-888)) . T))
@@ -540,15 +540,15 @@
(|has| |#1| (-381))
((((-421 (-560))) . T))
(((|#1|) . T))
-(-2179 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
+(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
((((-421 (-560))) . T))
((((-1191) |#1|) . T))
(|has| |#1| (-381))
((((-560)) . T))
((((-560)) . T))
(((|#1|) . T) (((-560)) . T))
-(-2179 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))
-(-2179 (|has| |#1| (-872)) (|has| |#1| (-1133)))
+(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))
+(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133)))
((((-888)) . T))
(((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T))
((((-1209)) -12 (|has| |#1| (-376)) (|has| |#1| (-928 (-1209)))))
@@ -562,12 +562,12 @@
((((-560) |#3|) . T))
(((|#1|) . T) (((-560)) |has| |#1| (-660 (-560))))
(|has| |#2| (-1081))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
-(-2179 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
+(-2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
((((-888)) . T))
((((-1286 |#1| |#2| |#3| |#4|)) . T))
((((-421 (-560))) . T) (((-560)) . T))
-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
(((|#1| |#1|) . T))
(((|#1|) . T))
(((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
@@ -576,9 +576,9 @@
((($) . T) (((-560)) . T) (((-421 (-560))) . T))
((((-560)) . T))
((((-560)) . T))
-((($) . T) (((-560)) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . T))
+((($) . T) (((-560)) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . T))
((($) . T) (((-560)) . T) (((-421 (-560))) . T))
-((((-560)) -2179 (-12 (|has| |#2| (-1070 (-560))) (|has| |#2| (-1133))) (|has| |#2| (-1081))) ((|#2|) |has| |#2| (-1133)) (((-421 (-560))) -12 (|has| |#2| (-1070 (-421 (-560)))) (|has| |#2| (-1133))))
+((((-560)) -2171 (-12 (|has| |#2| (-1070 (-560))) (|has| |#2| (-1133))) (|has| |#2| (-1081))) ((|#2|) |has| |#2| (-1133)) (((-421 (-560))) -12 (|has| |#2| (-1070 (-421 (-560)))) (|has| |#2| (-1133))))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
@@ -595,7 +595,7 @@
((((-888)) . T))
((((-560)) . T) (((-421 (-560))) . T) (($) . T))
(((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))))
-((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))))
+((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))))
((((-888)) . T))
((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)))
((((-560) |#1|) . T))
@@ -604,92 +604,92 @@
((($) . T))
((($ $) . T) ((#0=(-1209) $) . T) ((#0# |#1|) . T))
(((|#2|) |has| |#2| (-175)))
-((($) -2179 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) ((|#2|) |has| |#2| (-175)) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))))
-(((|#2| |#2|) -2179 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))))
+((($) -2171 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) ((|#2|) |has| |#2| (-175)) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))))
+(((|#2| |#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))))
((((-146)) . T))
(((|#1|) . T))
(-12 (|has| |#1| (-381)) (|has| |#2| (-381)))
((((-888)) . T))
-(((|#2|) -2179 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))))
+(((|#2|) -2171 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))))
(((|#1|) . T))
((((-888)) . T))
(|has| |#1| (-1133))
(|has| $ (-149))
((((-1214)) . T))
-((((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (((-560)) . T) (($) . T) ((|#1|) . T))
-(((|#1|) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T))
+((((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (((-560)) . T) (($) . T) ((|#1|) . T))
+(((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T))
((((-1266 (-560)) $) . T) (((-560) |#1|) . T))
-((($) -2179 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2179 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T))
+((($) -2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T))
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@@ -812,26 +812,26 @@
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@@ -840,8 +840,8 @@
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@@ -855,37 +855,37 @@
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@@ -924,7 +924,7 @@
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@@ -990,29 +990,29 @@
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-(-2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571)))
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((((-888)) . T))
((((-888)) . T))
((((-888)) . T))
@@ -1025,7 +1025,7 @@
((((-1214)) . T) (((-888)) . T))
((((-1214)) . T))
((((-888)) . T))
-(-2179 (|has| |#1| (-102)) (|has| |#1| (-1133)))
+(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133)))
(((|#1| (-1003)) . T))
(((|#1| |#1|) . T))
((($) . T))
@@ -1041,23 +1041,23 @@
(((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
(-12 (|has| |#1| (-817)) (|has| |#2| (-817)))
(-12 (|has| |#1| (-817)) (|has| |#2| (-817)))
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(((|#1| |#2|) . T))
(((|#1|) |has| |#1| (-175)) ((|#4|) . T) (((-560)) . T))
(((|#2|) |has| |#2| (-175)))
(((|#1|) |has| |#1| (-175)))
((((-888)) . T))
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(|has| |#1| (-363))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
((((-421 (-560))) . T) (($) . T))
(((|#2|) . T) (($) . T) (((-421 (-560))) . T))
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(|has| |#1| (-845))
((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) |has| |#1| (-1070 (-560))) ((|#1|) . T))
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(((|#1| $) |has| |#1| (-298 |#1| |#1|)))
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((($) |has| |#1| (-571)))
@@ -1065,49 +1065,49 @@
(((|#4|) |has| |#4| (-1133)))
(((|#3|) |has| |#3| (-1133)))
(|has| |#3| (-381))
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+((($) |has| |#1| (-571)) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-560)) . T))
((((-888)) . T))
(((|#1| |#2|) . T))
((((-888)) . T))
(|has| |#1| (-872))
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(((|#2|) . T))
(|has| |#2| (-376))
((((-421 (-560))) . T) (((-560)) . T))
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((($ (-889 |#1|)) . T))
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((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T))
(((|#1|) . T))
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(((|#2|) . T))
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(((|#1|) . T))
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((((-146)) . T))
((((-146)) . T))
((((-421 (-560))) . #0=(|has| |#2| (-376))) (($) . #0#) ((|#2|) . T) (((-560)) . T))
(((|#1| |#2| |#3|) . T))
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(((|#1|) |has| |#1| (-175)))
(|has| $ (-149))
(|has| $ (-149))
((((-1214)) . T))
(((|#1|) |has| |#1| (-175)))
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((((-888)) . T))
(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-38 (-421 (-560))))
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((($ $) |has| |#1| (-298 $ $)) ((|#1| $) |has| |#1| (-298 |#1| |#1|)))
(((|#1| (-421 (-560))) . T))
(((|#1|) . T))
@@ -1116,8 +1116,8 @@
(((|#1|) . T))
((((-1209)) . T))
(|has| |#1| (-571))
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-(-2179 (|has| |#1| (-376)) (|has| |#1| (-571)))
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(|has| |#1| (-571))
(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-38 (-421 (-560))))
@@ -1129,7 +1129,7 @@
(|has| |#1| (-149))
(|has| |#1| (-147))
(|has| |#1| (-149))
-(((|#2| (-246 (-2093 |#1|) (-793)) (-889 |#1|)) . T))
+(((|#2| (-246 (-2086 |#1|) (-793)) (-889 |#1|)) . T))
(((|#1| (-545 |#3|) |#3|) . T))
(|has| |#1| (-147))
(((#0=(-421 (-560)) #0#) |has| |#2| (-376)) (($ $) . T))
@@ -1143,12 +1143,12 @@
(|has| |#1| (-147))
((((-421 (-560))) |has| |#2| (-376)) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
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+(-2171 (|has| |#1| (-363)) (|has| |#1| (-381)))
((((-1174 |#2| |#1|)) . T) ((|#1|) . T))
(((|#1| |#2|) . T))
(-12 (|has| |#2| (-240)) (|has| |#2| (-1081)))
-(((|#2|) . T) (((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(|has| |#3| (-817))
(|has| |#3| (-817))
((((-888)) . T))
@@ -1176,18 +1176,18 @@
((((-888)) . T))
((((-888)) . T))
(((|#1| |#2|) . T))
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(((|#1|) . T))
(((|#3|) . T) (((-630 $)) . T))
(((|#1| (-421 (-560))) . T))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(((|#1| |#2|) . T))
(((|#1|) . T) (($) . T))
(((|#1|) . T))
(((|#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)))))
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+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
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(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
((($ $) . T) ((|#2| $) . T))
((((-560)) . T) (($) . T) (((-421 (-560))) . T))
@@ -1195,15 +1195,15 @@
((((-888)) . T))
((((-888)) . T))
(((|#1| |#1|) . T))
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((((-888)) . T))
(((|#1|) . T))
(((|#3| |#3|) . T))
(((|#1|) . T))
((($) . T) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560))))
((((-1209) (-51)) . T))
-((((-1209)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))))
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(((|#3|) . T))
((($ $) . 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) (($) . T) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
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-((((-560) (-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T) ((|#1| |#2|) . T))
-(((|#2|) -2179 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))))
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+((((-560) (-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T) ((|#1| |#2|) . T))
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((((-560)) . T))
((((-1214)) . T))
((((-793)) . T))
@@ -1233,34 +1233,34 @@
(((|#1|) . T))
((((-421 (-560))) . T) (($) . T))
((($) . T) (((-421 (-560))) . T))
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((((-1214)) . T))
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-(-2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571)))
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((((-560)) . T))
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((((-560)) . T))
(|has| |#1| (-149))
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((($ (-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209)))))
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((((-888)) . T))
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((((-888)) . T) (((-1214)) . T))
((((-1214)) . T))
((($) . T))
(((|#1|) . T))
((((-888)) . T))
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((((-894 |#1|)) . T))
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(-12 (|has| |#3| (-240)) (|has| |#3| (-1081)))
(|has| |#2| (-1184))
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(((|#1| |#2|) . T))
(((|#1| (-657 |#2|)) . T))
(|has| |#3| (-1081))
@@ -1269,10 +1269,10 @@
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(((|#1| (-421 (-560)) (-1114)) . T))
((((-1209)) . T))
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-((($) -2179 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239))))
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@@ -1280,46 +1280,46 @@
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(((|#1| |#3|) . T))
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(((|#2|) . T))
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((($) . T))
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@@ -1352,7 +1352,7 @@
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(((|#1| |#1|) . T))
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@@ -1361,7 +1361,7 @@
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(((|#2|) . T) (($) . T))
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@@ -1375,7 +1375,7 @@
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(((|#1|) . T) (($) . T) (((-421 (-560))) . T))
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((((-888)) . T))
@@ -1383,39 +1383,39 @@
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((((-888)) . T))
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((((-560)) |has| #0=(-421 |#2|) (-660 (-560))) ((#0#) . T))
((($) . T) (((-560)) . T))
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((((-421 (-560))) . T) (($) . T))
(((|#1|) . T))
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((((-888)) . T))
((((-936 |#1|)) . T))
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@@ -1423,11 +1423,11 @@
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+((($) -2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)) (|has| |#1| (-571))) (((-421 (-560))) -2171 (|has| |#1| (-376)) (|has| |#1| (-363))) ((|#1|) . T))
(|has| |#1| (-376))
(((|#1|) . T) (($) . T))
(|has| |#1| (-871))
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((((-1209)) |has| |#1| (-928 (-1209))))
(|has| |#1| (-871))
((((-520)) . T))
@@ -1443,7 +1443,7 @@
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((((-888)) . T))
((($) . T))
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(((|#1|) . T))
(((|#2|) . T) (($) . T))
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@@ -1453,22 +1453,22 @@
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(((|#3|) . T))
(((|#1|) |has| |#1| (-175)))
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(((|#1|) . T))
(((|#1|) . T))
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((((-888)) . T))
((((-894 |#1|)) . T) (($) . T) (((-421 (-560))) . T))
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((((-520)) . T))
((((-520)) . T))
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((((-894 |#1|)) . T) (((-421 (-560))) . T) (($) . T))
(|has| |#1| (-381))
(|has| |#1| (-381))
@@ -1477,7 +1477,7 @@
((((-1191) |#1|) . T))
(|has| |#1| (-1184))
((((-988 |#1|)) . T))
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((((-421 (-560))) |has| |#1| (-1070 (-560))) (((-560)) |has| |#1| (-1070 (-560))) (((-1209)) |has| |#1| (-1070 (-1209))) ((|#1|) . T))
((($) . 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|) . T))
((((-560)) |has| |#1| (-912 (-560))) (((-391)) |has| |#1| (-912 (-391))))
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(((|#1|) . T))
(((|#1|) . T) (($) . T) (((-560)) . T))
((((-663 |#4|)) . T) (((-888)) . T))
@@ -1493,37 +1493,37 @@
((((-549)) |has| |#4| (-633 (-549))))
((((-888)) . T) (((-663 |#4|)) . T))
((($) |has| |#1| (-871)))
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(((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) (((-560)) . T) (($) . T))
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(((|#2|) . T))
((((-560) |#2|) . T))
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(((|#2|) . T) (((-560)) . T))
((((-888)) . T))
((((-888)) . T))
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((((-888)) . T))
((((-888)) . T))
((((-1191) (-1209) (-560) (-229) (-888)) . T))
@@ -1559,9 +1559,9 @@
((((-421 (-560))) . T) (($) . T))
((((-888)) . T))
((((-549)) |has| |#1| (-633 (-549))))
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((($) . T) (((-421 (-560))) . T))
-(((|#2|) -2179 (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081))))
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(|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))
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(|has| |#1| (-149))
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(|has| |#1| (-149))
(((|#1|) . T))
(|has| |#2| (-240))
@@ -1611,9 +1611,9 @@
((((-888)) . T))
((((-888)) . T))
((((-1028 |#1|)) . T) ((|#1|) . T))
-((((-1209)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-842 (-1209))) . T))
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((((-888)) . T))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
((((-421 (-560))) . T) (((-421 |#1|)) . T) ((|#1|) . T) (($) . T))
(((|#1| (-1203 |#1|)) . T))
((((-560)) . T) (($) . T) (((-421 (-560))) . T))
@@ -1622,8 +1622,8 @@
(((|#1|) . T) (((-560)) . T) (($) . T))
(((|#2|) . T))
((((-560)) . T) (($) . T) (((-421 (-560))) . T))
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-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
+((((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T))
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((((-560) |#2|) . T))
(((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T))
((($) . T) (((-560)) . T) (((-421 (-560))) . T))
@@ -1636,30 +1636,30 @@
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((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)))
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(((|#2| |#2|) . T))
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(|has| |#2| (-376))
(((|#2|) . T) (((-560)) |has| |#2| (-1070 (-560))) (((-421 (-560))) |has| |#2| (-1070 (-421 (-560)))))
(|has| |#1| (-38 (-421 (-560))))
(((|#2|) . T))
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(((|#1|) . T))
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-((($ (-1209)) -2179 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))) (($ (-1114)) . T))
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(|has| |#1| (-38 (-421 (-560))))
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(((|#2|) |has| |#2| (-175)))
(((|#2|) . T))
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(((|#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)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))))
+((($ (-1209)) -2171 (|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))
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+(-2171 (|has| |#2| (-240)) (|has| |#2| (-239)))
((((-560) (-146)) . T) (((-1266 (-560)) $) . T))
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(|has| |#1| (-872))
(((|#2| (-793) (-1114)) . T))
(((|#1| |#2|) . T))
((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209)))))
(|has| |#1| (-814))
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((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209)))))
((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-793) |#1|))) (|has| |#1| (-928 (-1209)))))
(((|#1|) |has| |#1| (-175)))
(((|#4|) . T))
(((|#4|) . T))
(((|#1| |#2|) . T))
-(-2179 (|has| |#1| (-149)) (-12 (|has| |#1| (-376)) (|has| |#2| (-149))))
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(((|#4|) . T))
-(-2179 (|has| |#1| (-147)) (-12 (|has| |#1| (-376)) (|has| |#2| (-147))))
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((((-1191) |#1|) . T))
(|has| |#1| (-147))
(|has| |#1| (-149))
@@ -1718,24 +1718,24 @@
(((|#3|) . T))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)))
((($) . T) (((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T))
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-(((|#1|) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T))
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+(((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-560)) . T) (($) . T))
((((-888)) . T))
-(-2179 (|has| |#1| (-102)) (|has| |#1| (-872)) (|has| |#1| (-1133)))
+(-2171 (|has| |#1| (-102)) (|has| |#1| (-872)) (|has| |#1| (-1133)))
(((|#1|) . T))
(((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) (((-560)) . T) (($) . T))
-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))) (((-988 |#1|)) . T))
+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))) (((-988 |#1|)) . T))
(|has| |#1| (-871))
(|has| |#1| (-871))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
((((-988 |#1|)) . T))
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-(((|#3|) -2179 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748))))
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(|has| |#2| (-376))
(((|#1|) |has| |#1| (-175)))
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-(((|#3|) -2179 (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-748)) (|has| |#3| (-1081))))
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(((|#2|) |has| |#2| (-1081)))
(((|#2|) |has| |#2| (-1081)))
((((-1191) |#1|) . T))
@@ -1747,8 +1747,8 @@
((((-402) (-1191)) . T))
((($ (-1209)) . T))
((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
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-(((#0=(-51)) . T) (((-2 (|:| -1684 (-1191)) (|:| -1868 #0#))) . T))
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+(((#0=(-51)) . T) (((-2 (|:| -3672 (-1191)) (|:| -1922 #0#))) . T))
(((|#1|) . T))
((((-888)) . T))
(((|#2| |#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))))
@@ -1757,7 +1757,7 @@
((((-560)) . T))
(|has| |#2| (-149))
(|has| |#1| (-487))
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(|has| |#1| (-376))
((((-888)) . T))
(|has| |#1| (-38 (-421 (-560))))
@@ -1768,8 +1768,8 @@
(|has| |#1| (-871))
((((-888)) . T))
(((|#2|) . T))
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((($) |has| |#1| (-571)) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
(((|#2|) . T) (((-560)) . T) (((-843 |#1|)) . T))
(((|#1| |#2|) . T))
@@ -1778,8 +1778,8 @@
((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T))
((((-888)) . T))
((((-888)) . T))
-(-2179 (|has| |#1| (-102)) (|has| |#1| (-1133)))
-(((|#2| (-496 (-2093 |#1|) (-793)) (-889 |#1|)) . T))
+(-2171 (|has| |#1| (-102)) (|has| |#1| (-1133)))
+(((|#2| (-496 (-2086 |#1|) (-793)) (-889 |#1|)) . T))
((((-421 (-560))) . #0=(|has| |#2| (-376))) (($) . #0#))
(((|#1| (-545 (-1209)) (-1209)) . T))
(((|#1|) . T))
@@ -1800,19 +1800,19 @@
(((|#2|) |has| |#2| (-175)))
(((|#1|) . T))
(((|#2|) . T))
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-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+(((|#1|) . T) (((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(((|#2|) . T))
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+((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T))
((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)))
((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
((((-1209) (-51)) . T))
((((-421 (-560)) |#1|) . T) (($ $) . T))
(((|#1| (-560)) . T))
((((-936 |#1|)) . T))
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(((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))))
(|has| |#1| (-872))
(|has| |#1| (-872))
@@ -1833,15 +1833,15 @@
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(((|#1|) |has| |#1| (-175)))
(((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133))))
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-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+(((|#3|) -2171 (|has| |#3| (-175)) (|has| |#3| (-376))))
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+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
((($ |#2|) . T))
-((($ (-1209)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T))
+((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T))
((($ $) . T) ((#0=(-421 (-560)) #0#) . T))
((((-560) |#2|) . T))
-(((|#2|) -2179 (|has| |#2| (-175)) (|has| |#2| (-376))))
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(|has| |#1| (-363))
(((|#3| |#3|) -12 (|has| |#3| (-321 |#3|)) (|has| |#3| (-1133))))
(((|#2|) . T) (((-560)) . T))
@@ -1850,7 +1850,7 @@
(|has| |#1| (-844))
(|has| |#1| (-844))
(((|#1|) . T))
-(-2179 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)))
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(|has| |#1| (-871))
(|has| |#1| (-871))
(|has| |#1| (-871))
@@ -1859,14 +1859,14 @@
((((-560)) . T) (($) . T) (((-421 (-560))) . T))
(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-38 (-421 (-560))))
-(-2179 (|has| |#1| (-376)) (|has| |#1| (-363)))
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(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-38 (-421 (-560))))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
((((-1209)) |has| |#1| (-928 (-1209))) (((-1114)) . T))
(((|#1|) . T))
(|has| |#1| (-871))
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(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
(|has| |#1| (-1133))
((((-888)) . T) (((-1214)) . T))
@@ -1889,14 +1889,14 @@
(((|#1| (-545 |#2|) |#2|) . T))
(((|#3|) . T))
(((|#1| (-793) (-1114)) . T))
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+((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) -2171 (|has| |#1| (-871)) (|has| |#1| (-1070 (-560)))) ((|#1|) . T))
(((|#1|) . T))
(((|#2|) . T))
((((-146)) . T))
-((((-1209)) -2179 (-12 (|has| (-1207 |#1| |#2| |#3|) (-928 (-1209))) (|has| |#1| (-376))) (-12 (|has| (-1207 |#1| |#2| |#3|) (-930 (-1209))) (|has| |#1| (-376))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209))))))
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((((-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)))))
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(((|#1|) . T))
(|has| |#1| (-147))
(|has| |#1| (-149))
@@ -1915,31 +1915,31 @@
((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)))
((($) |has| |#1| (-571)))
(((|#2|) . T))
-((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))))
+((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))))
((($) |has| |#1| (-571)) ((|#1|) . T))
((($) |has| |#1| (-871)))
((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)))
(|has| |#1| (-940))
((((-1209)) . T))
((((-888)) . T))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-571))) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) . T))
-((((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) -2179 (|has| |#1| (-376)) (|has| |#1| (-571))) (((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)) ((|#1|) |has| |#1| (-175)))
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(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
((((-560) |#2|) . T))
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((($) |has| |#1| (-381)))
((($) |has| |#1| (-381)))
((($) |has| |#1| (-381)))
(((|#1| |#2|) . T))
-(-2179 (|has| |#2| (-466)) (|has| |#2| (-940)))
-(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))) ((#0=(-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) #0#) |has| (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)) (-321 (-2 (|:| -1684 (-1191)) (|:| -1868 |#1|)))))
-(-2179 (|has| |#1| (-466)) (|has| |#1| (-940)))
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(((|#1|) . T))
(((|#1|) . T) (($) . T))
(((|#2|) -12 (|has| |#2| (-321 |#2|)) (|has| |#2| (-1133))))
@@ -1948,23 +1948,23 @@
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
-(((|#3|) -2179 (|has| |#3| (-175)) (|has| |#3| (-376))))
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(|has| |#1| (-872))
(|has| |#1| (-571))
((((-595 |#1|)) . T))
((($) . T))
(((|#2|) . T))
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(((|#1| |#2| |#3| |#4|) . T))
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@@ -2005,16 +2005,16 @@
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(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
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@@ -2079,7 +2079,7 @@
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(((|#1| (-793)) . T))
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((((-560)) . T))
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(((|#1|) |has| |#1| (-321 |#1|)))
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@@ -2122,31 +2122,31 @@
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(((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) (((-560)) . T) (($) . T))
(((|#3|) |has| |#3| (-1133)))
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((((-1280 |#2| |#3| |#4|)) . T))
((((-114)) . T))
@@ -2157,8 +2157,8 @@
(|has| |#1| (-871))
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(((|#1| (-421 (-560)) (-1114)) . T))
(((|#1| (-793) (-1114)) . T))
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@@ -2172,41 +2172,41 @@
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@@ -2241,12 +2241,12 @@
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@@ -2257,13 +2257,13 @@
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@@ -2271,7 +2271,7 @@
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(((|#1| |#1|) . T))
@@ -2282,7 +2282,7 @@
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@@ -2298,7 +2298,7 @@
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@@ -2360,7 +2360,7 @@
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((((-888)) . T))
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((((-421 (-560))) . T) (($) . T))
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((((-118 |#1|)) . T))
(|has| |#1| (-363))
@@ -2381,7 +2381,7 @@
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(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-38 (-421 (-560))))
@@ -2391,18 +2391,18 @@
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(|has| |#1| (-38 (-421 (-560))))
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((($) . T) (((-560)) . T))
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(((|#2|) . T))
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(((|#3|) . T))
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(|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|)))
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(((|#2|) . T) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) |has| |#1| (-1070 (-560))) ((|#1|) . T))
@@ -2421,17 +2421,17 @@
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(((|#1|) |has| |#1| (-376)))
((((-888)) . T))
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((($ $) . T) (((-630 $) $) . T))
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(|has| |#1| (-376))
(|has| |#1| (-376))
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(((|#3|) |has| |#3| (-376)))
((((-421 |#2|)) . T))
@@ -2655,10 +2655,10 @@
((((-888)) . T))
((((-888)) . T))
((((-549)) |has| |#1| (-633 (-549))))
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(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
((((-560)) . T) (((-421 (-560))) . T) (($) . T))
(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
@@ -2668,14 +2668,14 @@
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(((|#2|) . T))
((((-421 (-560))) . T) (((-721)) . T) (($) . T))
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((((-889 |#1|)) . T))
(((|#2|) |has| |#2| (-175)))
@@ -2684,7 +2684,7 @@
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((((-1209)) |has| |#1| (-928 (-1209))) (((-1120 (-1209))) . T))
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((((-421 (-560))) . T) (((-560)) . T) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
(|has| |#1| (-38 (-421 (-560))))
@@ -2693,13 +2693,13 @@
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(|has| |#1| (-149))
((($ $) . T))
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(((|#1|) . T))
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(((|#1| (-58 |#1|) (-58 |#1|)) . T))
@@ -2719,37 +2719,37 @@
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((($) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))))
(|has| |#1| (-147))
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@@ -2768,16 +2768,16 @@
(((|#2| |#3|) . T))
(((|#1| (-545 |#2|)) . T))
(((|#1| (-793)) . T))
-(-2179 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
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(((|#1| (-545 (-1120 (-1209)))) . T))
(((|#1|) |has| |#1| (-175)))
(((|#1|) . T))
(|has| |#2| (-940))
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((((-888)) . T))
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((($ $) . T) ((#0=(-1280 |#2| |#3| |#4|) #0#) . T) ((#1=(-421 (-560)) #1#) |has| #0# (-38 (-421 (-560)))))
((((-936 |#1|)) . T))
(-12 (|has| |#1| (-376)) (|has| |#2| (-844)))
@@ -2785,14 +2785,14 @@
((((-888)) . T))
((($) . T) (((-560)) . T))
((($) . T))
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(|has| |#1| (-376))
(|has| |#1| (-376))
(((|#1| |#2|) . T))
((($) . T) ((#0=(-1280 |#2| |#3| |#4|)) . T) (((-421 (-560))) |has| #0# (-38 (-421 (-560)))))
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((((-560)) |has| |#1| (-660 (-560))) ((|#1|) . T))
(((|#1| |#2|) . T))
((((-888)) . T))
@@ -2830,7 +2830,7 @@
((($) . T))
(((|#4|) . T))
((($) . T))
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((((-888)) . T))
(((|#1| (-545 (-1209))) . T))
((($ $) . T))
@@ -2840,29 +2840,29 @@
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(((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133))))
(((|#2|) . T))
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(((|#2|) |has| |#2| (-175)))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
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((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)))
((((-888)) . T))
((((-888)) . T))
((((-549)) . T) (((-560)) . T) (((-916 (-560))) . T) (((-391)) . T) (((-229)) . T))
(((|#1| |#2|) . T))
((($) . T) (((-560)) . T))
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(((|#1|) . T))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
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((((-888)) . T))
(((|#1| |#2|) . T))
((($) . T) (((-560)) . T))
(((|#1| (-421 (-560))) . T))
(((|#1|) . T))
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((((-146)) . T))
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@@ -2878,7 +2878,7 @@
((((-888)) . T))
((((-888)) . T))
((((-186)) . T) (((-888)) . T))
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(((|#2| |#2|) . T) ((|#1| |#1|) . T))
((((-888)) . T))
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@@ -2895,8 +2895,8 @@
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((((-888)) . T))
(((|#2|) |has| |#2| (-376)))
((((-888)) . T))
@@ -2911,19 +2911,19 @@
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(((|#1|) . T))
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(((|#2|) . T))
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(((#0=(-421 (-560)) #0#) . T) (($ $) . T))
((((-560)) . T))
(((|#1|) . T))
@@ -2935,12 +2935,12 @@
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(|has| |#1| (-38 (-421 (-560))))
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(|has| |#1| (-844))
(((#0=(-936 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T))
((((-421 |#2|)) . T))
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(((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) . T) ((#1=(-560) #1#) . T) (($ $) . T))
((((-936 |#1|)) . T) (($) . T) (((-421 (-560))) . T))
(((|#2|) |has| |#2| (-1081)) (((-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1081))))
@@ -2959,36 +2959,36 @@
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(((|#1|) . T))
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(|has| |#1| (-363))
((((-560)) . T))
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(((#0=(-1114) |#1|) . T) ((#0# $) . T) (($ $) . T))
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(((#0=(-421 (-560)) #0#) . T) ((#1=(-721) #1#) . T) (($ $) . T))
((((-326 |#1|)) . T) (($) . T))
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((((-888)) . T))
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@@ -3009,10 +3009,10 @@
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(((|#2|) . T))
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((((-560)) . T))
(((|#2|) . T) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((|#1|) . T) (($) . T) (((-560)) . T))
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(((|#2|) . T) (((-560)) |has| |#2| (-660 (-560))))
(((|#1| |#2|) . T))
((($) . T))
@@ -3055,7 +3055,7 @@
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((($) . T))
(|has| |#1| (-940))
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(((|#4|) . T))
((($) . T))
(((|#2|) . T))
@@ -3065,32 +3065,32 @@
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((($) . T) (((-560)) . T) ((|#1|) . T) (((-421 (-560))) . T))
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((($ $) . T) ((#0=(-421 (-560)) #0#) . T))
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(((|#1|) . T))
((((-793)) . T))
((((-888)) . T))
((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209)))))
((((-421 |#2|) |#3|) . T))
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((($) . T) (((-421 (-560))) . T))
((($) . T) (((-560)) . T) (((-421 (-560))) . T) (((-630 $)) . T))
((((-560)) . T) (($) . T))
((((-560)) . T) (($) . T))
((((-793) |#1|) . T))
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(((|#1| (-545 |#3|)) . T))
((((-421 (-560))) . T))
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((((-1191)) . T) (((-888)) . T))
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((((-1191)) . T))
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(((|#1|) . T) (($) . T) (((-560)) . T))
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((((-171 (-391))) . T) (((-229)) . T) (((-391)) . T))
((((-888)) . T))
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@@ -3107,12 +3107,12 @@
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(|has| |#1| (-38 (-421 (-560))))
(-12 (|has| |#1| (-559)) (|has| |#1| (-845)))
((((-888)) . T))
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((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209)))))
((((-421 (-560))) . T) (($) . T))
@@ -3124,13 +3124,13 @@
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((((-560)) . T) (($) . T))
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(((|#1|) . T))
(((|#1|) . T))
(((|#1|) |has| |#1| (-175)))
@@ -3165,7 +3165,7 @@
(|has| |#1| (-872))
((((-888)) . T))
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(((|#1|) . T))
((($) . T) (((-560)) . T) ((|#2|) . T))
@@ -3174,27 +3174,27 @@
(((|#3|) . T))
((((-1191)) . T) (((-520)) . T) (((-229)) . T) (((-560)) . T))
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(((|#4| |#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133))))
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(((|#2|) . T))
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-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
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+((((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T))
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(((|#1| |#2|) . T))
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((($) . T))
(|has| |#1| (-149))
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((($) . T))
((((-595 |#1|)) . T))
@@ -3210,7 +3210,7 @@
((((-421 (-560))) |has| |#2| (-1070 (-560))) (((-560)) |has| |#2| (-1070 (-560))) (((-1209)) |has| |#2| (-1070 (-1209))) ((|#2|) . T))
(((#0=(-421 |#2|) #0#) . T) ((#1=(-421 (-560)) #1#) . T) (($ $) . T))
(((|#1|) . T))
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((((-888)) . T))
((($) . T))
@@ -3230,15 +3230,15 @@
((((-421 |#2|)) . T))
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(|has| |#1| (-814))
((((-888)) . T))
((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T))
((((-888)) . T))
((((-549)) |has| |#1| (-633 (-549))))
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((((-115)) . T) ((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
@@ -3248,7 +3248,7 @@
(((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)) (((-421 (-560))) |has| |#1| (-571)))
((((-888)) . T))
((((-888)) . T))
-(-2179 (-12 (|has| |#2| (-240)) (|has| |#2| (-1081))) (-12 (|has| |#2| (-239)) (|has| |#2| (-1081))))
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(((#0=(-936 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T))
(((|#2|) . T))
(((|#1|) . T))
@@ -3260,10 +3260,10 @@
((((-888)) . T))
(((|#2|) . T))
((((-560)) . T))
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((((-888)) . T))
((((-560)) . T))
-(-2179 (|has| |#2| (-817)) (|has| |#2| (-872)))
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((((-171 (-391))) . T) (((-229)) . T) (((-391)) . T))
((((-888)) . T))
((((-888)) . T))
@@ -3275,11 +3275,11 @@
(((|#1|) . T) (($) . T) (((-421 (-560))) . T))
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+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
((((-888)) . T))
((((-560) $) . T) (((-663 (-560)) $) . T))
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(|has| |#1| (-1184))
((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T))
((($) . T))
@@ -3289,22 +3289,22 @@
(((#0=(-118 |#1|) $) |has| #0# (-298 #0# #0#)))
(((|#1|) |has| |#1| (-175)))
((((-326 |#1|)) . T) (((-560)) . T))
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(((|#1|) . T))
(((|#1| |#1|) . T))
((((-888)) . T))
(((|#1|) . T))
((((-115)) . T) ((|#1|) . T))
((((-888)) . T))
-((((-1209)) -2179 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))))
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(((|#1|) |has| |#1| (-321 |#1|)))
((((-560) |#1|) . T) (((-1266 (-560)) $) . T))
(((|#1| |#2|) . T))
((((-1209) |#1|) . T))
-(((|#1|) -2179 (|has| |#1| (-175)) (|has| |#1| (-376))))
+(((|#1|) -2171 (|has| |#1| (-175)) (|has| |#1| (-376))))
(((|#1|) . T))
((($ (-1209)) . T))
-(((|#1|) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-1081))))
+(((|#1|) -2171 (|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) (($) . T))
-(-2179 (|has| |#1| (-376)) (|has| |#1| (-571)))
+(-2171 (|has| |#1| (-376)) (|has| |#1| (-571)))
(|has| |#1| (-376))
-(-2179 (|has| |#1| (-376)) (|has| |#1| (-571)))
+(-2171 (|has| |#1| (-376)) (|has| |#1| (-571)))
(|has| |#1| (-376))
(|has| |#1| (-571))
((($) . T))
(|has| |#1| (-1133))
((((-802 |#1| (-889 |#2|))) |has| (-802 |#1| (-889 |#2|)) (-321 (-802 |#1| (-889 |#2|)))))
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+(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
(((|#1|) . T))
(((|#2| |#3|) . T))
(((|#1|) . T))
@@ -3330,17 +3330,17 @@
(((|#1| (-793)) . T))
(|has| |#1| (-240))
(((|#1| (-545 (-1120 (-1209)))) . T))
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((((-595 |#1|)) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T))
((((-560)) . T) (((-421 (-560))) . T) (($) . T))
-((((-2 (|:| -1684 (-1191)) (|:| -1868 (-51)))) . T))
+((((-2 (|:| -3672 (-1191)) (|:| -1922 (-51)))) . T))
(((|#1|) . T))
(((|#1|) . T) (((-560)) . T))
(((|#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
(|has| |#2| (-376))
((((-888)) . T))
((((-888)) . T))
-(-2179 (|has| |#3| (-817)) (|has| |#3| (-872)))
+(-2171 (|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))
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-((((-1157 |#1| |#2|)) . T) ((|#2|) . T) (($) -2179 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-560)) . T))
-((((-1203 |#1|)) . T) (((-560)) . T) (($) -2179 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (((-1114)) . T) ((|#1|) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))))
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+(-2171 (|has| |#1| (-319)) (|has| |#1| (-376)) (|has| |#1| (-363)))
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+((((-1157 |#1| |#2|)) . T) ((|#2|) . T) (($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-560)) . T))
+((((-1203 |#1|)) . T) (((-560)) . T) (($) -2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) (((-1114)) . T) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))))
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(((#0=(-595 |#1|) #0#) . T) (($ $) . T) ((#1=(-421 (-560)) #1#) . T))
((($ $) . T) ((#0=(-421 (-560)) #0#) . T))
-((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-1120 (-1209))) . T) (($) -2179 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T))
+((((-1157 |#1| (-1209))) . T) (((-560)) . T) (((-1120 (-1209))) . T) (($) -2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-1070 (-421 (-560))))) (((-1209)) . T))
(((|#1|) |has| |#1| (-175)))
(((|#1| (-1299 |#1|) (-1299 |#1|)) . T))
((((-595 |#1|)) . T) (($) . T) (((-421 (-560))) . T))
@@ -3373,7 +3373,7 @@
((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) ((|#1|) . T) (((-560)) . T))
(((|#1|) . T))
((((-888)) . T))
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+(((#0=(-421 (-560)) #0#) |has| |#2| (-38 (-421 (-560)))) ((|#2| |#2|) . T) (($ $) -2171 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
(((|#2| |#2|) . T) ((|#6| |#6|) . T))
((((-305 |#3|)) . T))
(((|#1|) . T))
@@ -3382,30 +3382,30 @@
(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
(((|#1|) . T) (((-421 (-560))) . T) (($) . T))
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+((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))))
+((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))))
(((|#2|) . T))
-((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (($) -2179 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
+((((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (($) -2171 (|has| |#2| (-175)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
(((|#2|) . T) ((|#6|) . T))
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+((($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1| |#1|) . T) ((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))))
((((-888)) . T))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
-((($) -2179 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
(|has| |#2| (-940))
(|has| |#1| (-940))
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+((($) -2171 (|has| |#1| (-175)) (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
((((-888)) . T))
(((|#1|) . T))
(((|#1|) . T))
-((((-2 (|:| -1684 (-1191)) (|:| -1868 |#1|))) . T))
+((((-2 (|:| -3672 (-1191)) (|:| -1922 |#1|))) . T))
(((|#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
(((|#1| |#1|) . T))
(((|#1|) . T))
(((|#1|) . T))
-(-2179 (|has| |#2| (-817)) (|has| |#2| (-872)))
-(-2179 (|has| |#1| (-102)) (|has| |#1| (-1133)))
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(((|#1|) . T))
(((|#1|) . T) (($) . T) (((-421 (-560))) . T))
((((-1209)) . T) ((|#1|) . T))
@@ -3417,15 +3417,15 @@
(((#0=(-421 (-560)) #0#) . T))
((((-421 (-560))) . T))
(((|#1|) |has| |#1| (-175)))
-(-2179 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))
+(-2171 (|has| |#2| (-21)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-1081)))
(((|#1|) . T))
(((|#1|) . T))
-(-2179 (|has| |#2| (-21)) (|has| |#2| (-23)) (|has| |#2| (-25)) (|has| |#2| (-133)) (|has| |#2| (-175)) (|has| |#2| (-376)) (|has| |#2| (-817)) (|has| |#2| (-1081)))
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(((|#1|) . T))
((((-421 (-560))) . T) (((-560)) . T) (($) . T))
((((-549)) . T))
((((-888)) . T))
-((($) -2179 (-12 (|has| |#3| (-240)) (|has| |#3| (-1081))) (-12 (|has| |#3| (-239)) (|has| |#3| (-1081)))))
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(|has| |#1| (-872))
((((-888)) . T))
((((-560)) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) |has| |#1| (-175)) (($) |has| |#1| (-571)))
@@ -3441,21 +3441,21 @@
((($ $) . T) ((#0=(-421 (-560)) #0#) . T))
((((-1209)) |has| |#1| (-928 (-1209))))
((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T))
-((($) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . T))
-(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . T) (($ $) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))))
+((($) . T) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#1|) . T))
+(((#0=(-421 (-560)) #0#) |has| |#1| (-38 (-421 (-560)))) ((|#1| |#1|) . T) (($ $) -2171 (|has| |#1| (-175)) (|has| |#1| (-571))))
((((-421 |#2|)) . T) (((-421 (-560))) . T) (($) . T))
((($) . T) (((-421 (-560))) . T))
(((|#1|) . T) (((-421 (-560))) . T) (((-560)) . T) (($) . T))
(((|#2|) |has| |#2| (-1081)) (((-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1081))))
((((-421 |#2|)) . T) (((-421 (-560))) . T) (($) . T))
-((((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (($) -2179 (|has| |#1| (-175)) (|has| |#1| (-571))))
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(|has| |#1| (-571))
(((|#1|) |has| |#1| (-376)))
((((-560)) . T))
((((-1209) #0=(-118 |#1|)) |has| #0# (-528 (-1209) #0#)) ((#0# #0#) |has| #0# (-321 #0#)))
(|has| |#1| (-814))
(|has| |#1| (-814))
-((((-1209)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))))
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(((|#2|) . 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 @@
((($) |has| |#1| (-381)))
(|has| |#2| (-844))
(|has| |#2| (-844))
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+((((-560)) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) (((-421 (-560))) -2171 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) ((|#2|) |has| |#1| (-376)) (($) . T) ((|#1|) . T))
((($ (-1209)) |has| |#1| (-928 (-1209))))
(((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))))
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-(((|#1|) . T) (((-421 (-560))) -2179 (|has| |#1| (-38 (-421 (-560)))) (|has| |#1| (-376))) (($) . T))
+((($) -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))) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
((((-560)) |has| |#1| (-912 (-560))) (((-391)) |has| |#1| (-912 (-391))))
(((|#1|) . T))
@@ -3494,7 +3494,7 @@
(-12 (|has| |#1| (-376)) (|has| |#2| (-940)))
(|has| |#1| (-376))
(((|#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133))))
-(((|#2|) -2179 (|has| |#2| (-6 (-4512 "*"))) (|has| |#2| (-175))))
+(((|#2|) -2171 (|has| |#2| (-6 (-4512 "*"))) (|has| |#2| (-175))))
(((|#2|) . T))
(|has| |#1| (-376))
(((|#2|) . T))
@@ -3508,12 +3508,12 @@
(((|#2| (-793)) . T))
((((-1209)) . T))
((((-894 |#1|)) . T))
-(-2179 (|has| |#3| (-21)) (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-1081)))
-(-2179 (|has| |#3| (-21)) (|has| |#3| (-23)) (|has| |#3| (-25)) (|has| |#3| (-133)) (|has| |#3| (-175)) (|has| |#3| (-376)) (|has| |#3| (-817)) (|has| |#3| (-1081)))
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((((-888)) . T))
(((|#1|) . T))
-(-2179 (|has| |#2| (-817)) (|has| |#2| (-872)))
-(-2179 (-12 (|has| |#1| (-817)) (|has| |#2| (-817))) (-12 (|has| |#1| (-872)) (|has| |#2| (-872))))
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((((-894 |#1|)) . T))
(((|#1|) . T))
(|has| |#1| (-381))
@@ -3531,7 +3531,7 @@
(((|#1|) . T))
((((-888)) . T))
((($) . T) ((|#2|) . T) (((-421 (-560))) . T) (((-560)) |has| |#2| (-660 (-560))))
-(-2179 (|has| |#1| (-102)) (|has| |#1| (-1133)))
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(((|#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))))
@@ -3540,7 +3540,7 @@
(((|#1|) . T))
((((-888)) . T))
(|has| |#2| (-940))
-((((-2 (|:| -1684 (-1209)) (|:| -1868 (-51)))) . T))
+((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T))
((((-549)) |has| |#2| (-633 (-549))) (((-916 (-391))) |has| |#2| (-633 (-916 (-391)))) (((-916 (-560))) |has| |#2| (-633 (-916 (-560)))))
((((-888)) . T))
((((-888)) . T))
@@ -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)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-1114)) . T))
+((((-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (((-1114)) . T))
((((-118 |#1|)) . T) (($) . T) (((-421 (-560))) . T))
((((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-560)) |has| |#1| (-1070 (-560))) ((|#1|) . T) (((-1209)) . T))
((((-888)) . T))
@@ -3571,10 +3571,10 @@
((((-663 |#1|)) . T))
((($) |has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))))
((($) . T) (((-560)) . T) (((-1286 |#1| |#2| |#3| |#4|)) . T) (((-421 (-560))) . T))
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((((-560)) . T) (((-421 (-560))) . T))
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(((|#1|) . T))
((((-1214)) . T))
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@@ -3589,16 +3589,16 @@
((((-421 |#2|) |#3|) . T))
(((|#1|) . T))
((((-888)) . T))
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((((-560) |#1|) . T))
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(((|#2| |#2|) . T))
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((((-560)) . T))
(((|#2|) . T))
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(((|#2|) . T))
((((-1209)) |has| |#1| (-928 (-1209))) (((-1114)) . T))
(((|#1|) . T) (((-560)) |has| |#1| (-660 (-560))))
@@ -3607,9 +3607,9 @@
((($) . T) (((-421 (-560))) . T))
((($) . T))
((($) . T))
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(((|#1|) . T))
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((((-888)) . T))
((((-146)) . T))
(((|#1|) . T) (((-421 (-560))) . T))
@@ -3618,7 +3618,7 @@
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(((|#1|) . T))
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(((|#1|) . T))
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((((-421 $) (-421 $)) |has| |#1| (-571)) (($ $) . T) ((|#1| |#1|) . T))
@@ -3643,44 +3643,44 @@
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(|has| |#1| (-376))
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(|has| |#1| (-240))
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(((|#1|) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T))
(((|#1|) . T) (((-421 (-560))) . T) (($) . T) (((-560)) . T))
@@ -3699,18 +3699,18 @@
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(((|#2|) |has| |#2| (-1081)) (((-560)) -12 (|has| |#2| (-660 (-560))) (|has| |#2| (-1081))))
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(((|#1|) . T))
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(((|#1| |#1|) . T) (($ $) . T) ((#0=(-421 (-560)) #0#) . T))
(((|#1| |#1|) . T) (($ $) . T) ((#0=(-421 (-560)) #0#) . T))
(((|#1| |#1|) . T) (($ $) . T) ((#0=(-421 (-560)) #0#) . T))
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(((|#2| |#2|) . T))
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(((|#1|) . T) (($) . T) (((-421 (-560))) . T))
(((|#1|) . T) (($) . T) (((-421 (-560))) . T))
(((|#1|) . T) (($) . T) (((-421 (-560))) . T))
@@ -3722,11 +3722,11 @@
(((|#1|) . T))
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(|has| |#1| (-376))
(((|#1|) |has| |#2| (-432 |#1|)))
(((|#1|) |has| |#2| (-432 |#1|)))
@@ -3735,7 +3735,7 @@
((((-888)) . T) (((-1214)) . T))
((((-888)) . T) (((-1214)) . T))
((((-888)) . T) (((-1214)) . T))
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((((-1214)) . T))
((((-1214)) . T))
((((-1214)) . T))
@@ -3750,19 +3750,19 @@
((((-1214)) . T))
((((-888)) . T) (((-1214)) . T))
((((-1214)) . T))
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((((-560) |#1|) . T))
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((((-560) |#1|) . T))
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(((|#1|) . T))
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@@ -3775,21 +3775,21 @@
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((($ $) . T) ((#0=(-889 |#1|) $) . T) ((#0# |#2|) . T))
((((-1157 |#1| (-1209))) . T) (((-842 (-1209))) . T) ((|#1|) . T) (((-560)) |has| |#1| (-1070 (-560))) (((-421 (-560))) |has| |#1| (-1070 (-421 (-560)))) (((-1209)) . T))
((($) . T))
@@ -3808,12 +3808,12 @@
(((#0=(-1286 |#1| |#2| |#3| |#4|)) |has| #0# (-321 #0#)))
((($) . T))
(((|#1|) . T))
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(|has| |#2| (-240))
(|has| $ (-149))
((((-888)) . T))
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((((-888)) . T))
(|has| |#1| (-871))
((((-130)) . T))
@@ -3821,7 +3821,7 @@
((((-421 (-560))) . T) (((-721)) . T) (($) . T) (((-560)) . T))
(((|#1|) . T))
((((-130)) . T))
-((($ (-1209)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))))
+((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))))
((((-888)) . T))
(-12 (|has| |#1| (-319)) (|has| |#1| (-940)))
(((|#2| (-694 |#1|)) . T))
@@ -3830,24 +3830,24 @@
((((-888)) |has| |#1| (-1133)))
(((|#4|) . T))
(|has| |#1| (-571))
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((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-421 (-560)) |#1|))) (|has| |#1| (-928 (-1209)))))
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((((-1266 (-560)) $) . T) (((-560) |#1|) . T))
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((((-1209)) -12 (|has| |#1| (-15 * (|#1| (-793) |#1|))) (|has| |#1| (-928 (-1209)))))
(((|#4|) -12 (|has| |#4| (-321 |#4|)) (|has| |#4| (-1133))))
(((|#1|) . T))
(((|#1| (-545 (-842 (-1209)))) . T))
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((((-560)) . T) ((|#2|) . T) (($) . T) (((-421 (-560))) . T) (((-1209)) |has| |#2| (-1070 (-1209))))
(((|#1|) . T))
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(((|#1|) . T))
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((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)))
((($) . T) (((-894 |#1|)) . T) (((-421 (-560))) . T))
((((-1289 |#1| |#2| |#3|)) |has| |#1| (-376)))
@@ -3856,15 +3856,15 @@
(((|#1|) . T))
(((|#1|) . T))
((((-421 |#2|)) . T))
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-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133))))
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((((-549)) |has| |#1| (-633 (-549))))
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-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133))))
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((((-549)) |has| |#1| (-633 (-549))))
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((((-549)) |has| |#1| (-633 (-549))))
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(((|#1|) . T))
(((|#2| |#2|) . T) ((#0=(-421 (-560)) #0#) . T) (($ $) . T))
(((|#2|) . T) (((-421 (-560))) . T) (($) . T))
@@ -3884,7 +3884,7 @@
((((-888)) . T))
((((-888)) . T))
((((-888)) . T))
-(-2179 (|has| |#1| (-240)) (|has| |#1| (-239)))
+(-2171 (|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)) (($) -2179 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))))
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(((|#2|) . T) ((|#6|) . T))
((($) . T) (((-421 (-560))) |has| |#2| (-38 (-421 (-560)))) ((|#2|) . T) (((-560)) |has| |#2| (-660 (-560))))
((($) . T) (((-560)) . T))
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((((-1135)) . T))
((((-888)) . T))
((((-1214)) . T) (((-888)) . T))
((((-1214)) . T) (((-888)) . T))
((((-1214)) . T))
((((-1214)) . T))
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((($) . T) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))) ((|#1|) . T) (((-560)) |has| |#1| (-660 (-560))))
((($) . T) (((-560)) . T))
-((($) -2179 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940))) ((|#1|) |has| |#1| (-175)) (((-421 (-560))) |has| |#1| (-38 (-421 (-560)))))
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(|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)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
((((-1214)) . T))
-(-2179 (|has| |#2| (-817)) (|has| |#2| (-872)))
+(-2171 (|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)) -2179 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T))
+((($ (-1209)) -2171 (|has| |#1| (-928 (-1209))) (|has| |#1| (-930 (-1209)))) (($ (-1114)) . T))
(((|#1|) |has| |#1| (-175)))
((((-1214)) . T))
((((-1214)) . T))
((((-1214)) . T))
((((-1214)) . T))
-(-2179 (|has| |#1| (-376)) (|has| |#1| (-363)))
-(-2179 (|has| |#1| (-376)) (|has| |#1| (-363)))
+(-2171 (|has| |#1| (-376)) (|has| |#1| (-363)))
+(-2171 (|has| |#1| (-376)) (|has| |#1| (-363)))
((((-1214)) . T))
((((-1214)) . T))
(|has| |#1| (-376))
(|has| |#1| (-376))
-(-2179 (|has| |#1| (-175)) (|has| |#1| (-571)))
+(-2171 (|has| |#1| (-175)) (|has| |#1| (-571)))
(((|#1| (-560)) . T))
(((|#1| (-421 (-560))) . T))
(((|#1| (-793)) . T))
@@ -3958,24 +3958,24 @@
(((|#1| (-545 |#2|) |#2|) . T))
((((-560) |#1|) . T))
((((-560) |#1|) . T))
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-(-2179 (|has| (-421 |#2|) (-240)) (|has| (-421 |#2|) (-239)))
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+(-2171 (|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))
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((((-888)) . T))
((((-560)) . T))
((((-560)) . T))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(((|#1| |#2|) . T))
(((|#1|) . T))
((((-1209)) -12 (|has| |#2| (-928 (-1209))) (|has| |#2| (-1081))))
(|has| |#2| (-1081))
-(-2179 (-12 (|has| |#1| (-487)) (|has| |#2| (-487))) (-12 (|has| |#1| (-748)) (|has| |#2| (-748))))
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(|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))
-(-2179 (|has| |#1| (-363)) (|has| |#1| (-381)))
+(-2171 (|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))))
-(-2179 (|has| |#2| (-240)) (|has| |#2| (-239)))
+(-2171 (|has| |#2| (-240)) (|has| |#2| (-239)))
(((|#1|) . T))
(((|#1|) . T))
((((-549)) |has| |#1| (-633 (-549))))
-((((-888)) -2179 (|has| |#1| (-632 (-888))) (|has| |#1| (-872)) (|has| |#1| (-1133))))
+((((-888)) -2171 (|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))
-(-2179 (|has| |#1| (-376)) (|has| |#1| (-571)))
-(-2179 (|has| |#1| (-21)) (|has| |#1| (-871)))
+(-2171 (|has| |#1| (-376)) (|has| |#1| (-571)))
+(-2171 (|has| |#1| (-21)) (|has| |#1| (-871)))
(((|#2|) . T))
-(-2179 (|has| |#1| (-21)) (|has| |#1| (-871)))
+(-2171 (|has| |#1| (-21)) (|has| |#1| (-871)))
(((|#1|) |has| |#1| (-175)))
(((|#1|) . T))
(((|#1|) . T))
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((((-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))
-(-2179 (|has| |#3| (-817)) (|has| |#3| (-872)))
+(-2171 (|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))
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((((-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) (($ $) . T))
@@ -4081,11 +4081,11 @@
((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)))
((((-1172 |#1| |#2|)) . T))
((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)))
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+(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
+((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T))
((($) . T))
(|has| |#1| (-1052))
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+(((|#2|) . T) (((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
((($) . T))
((((-888)) . T))
((((-549)) |has| |#2| (-633 (-549))) (((-916 (-560))) |has| |#2| (-633 (-916 (-560)))) (((-916 (-391))) |has| |#2| (-633 (-916 (-391)))) (((-391)) . #0=(|has| |#2| (-1052))) (((-229)) . #0#))
@@ -4094,7 +4094,7 @@
(((|#1|) . T))
(|has| |#1| (-38 (-421 (-560))))
(|has| |#1| (-38 (-421 (-560))))
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+((((-1209)) -2171 (|has| |#2| (-928 (-1209))) (|has| |#2| (-930 (-1209)))))
((((-888)) . T))
(((|#2|) . T))
((((-888)) . T))
@@ -4104,15 +4104,15 @@
((((-1207 |#1| |#2| |#3|)) . T))
((((-1207 |#1| |#2| |#3|)) . T) (((-1200 |#1| |#2| |#3|)) . T))
((((-888)) . T))
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+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
((((-560) |#1|) . T))
((((-1207 |#1| |#2| |#3|)) |has| |#1| (-376)))
(((|#1| |#2| |#3| |#4|) . T))
(((|#1|) . T))
(((|#2|) . T))
(|has| |#2| (-376))
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+(((|#3|) . T) ((|#2|) . T) ((|#4|) -2171 (|has| |#4| (-175)) (|has| |#4| (-376)) (|has| |#4| (-1081))) (($) |has| |#4| (-1081)) (((-560)) -12 (|has| |#4| (-660 (-560))) (|has| |#4| (-1081))))
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(((|#1|) . T))
(((|#1|) . T))
((((-118 |#1|)) . T))
@@ -4126,7 +4126,7 @@
((((-186)) . T) (((-888)) . T))
((((-888)) . T))
(((|#1|) . T))
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+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
((((-560) |#1|) . T) (((-1266 (-560)) $) . T))
((((-888)) . T))
(((|#1|) . T))
@@ -4134,14 +4134,14 @@
(((|#1|) . T))
(((|#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) (($ $) . T) (((-560) |#1|) . T))
((($ $) . T) (((-421 (-560)) |#1|) . T))
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+(-2171 (|has| |#1| (-376)) (|has| |#1| (-466)) (|has| |#1| (-940)))
((($ (-1209)) |has| |#1| (-1081)))
-(-2179 (|has| |#1| (-872)) (|has| |#1| (-1133)))
+(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133)))
((((-888)) . T))
((((-888)) . T))
((((-888)) . T))
(((|#1| (-545 |#2|)) . T))
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+((((-2 (|:| -3672 (-1209)) (|:| -1922 (-51)))) . T))
((((-560) (-130)) . T))
(((|#1| (-560)) . T))
(((|#1| (-421 (-560))) . T))
@@ -4156,8 +4156,8 @@
((((-1214)) . T))
((((-888)) . T) (((-1214)) . T))
((((-888)) . T) (((-1214)) . T))
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+(-2171 (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940)))
+(-2171 (|has| |#1| (-466)) (|has| |#1| (-571)) (|has| |#1| (-940)))
((($) . T))
(((|#2| (-545 (-889 |#1|))) . T))
((((-1214)) . T))
@@ -4172,7 +4172,7 @@
((((-1214)) . T))
((((-888)) . T) (((-1214)) . T))
((((-1214)) . T))
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+((((-888)) -2171 (|has| |#1| (-632 (-888))) (|has| |#1| (-1133))))
(((|#1| |#2|) . T))
(((|#1|) . T))
((((-1191) |#1|) . T))
@@ -4180,7 +4180,7 @@
((((-421 |#2|)) . T))
(|has| |#1| (-571))
(|has| |#1| (-571))
-((((-2 (|:| -1684 |#1|) (|:| -1868 |#2|))) . T))
+((((-2 (|:| -3672 |#1|) (|:| -1922 |#2|))) . T))
(((|#2| (-793)) . T))
((($) . T) ((|#2|) . T))
((($) . T) (((-421 (-560))) . T))
@@ -4190,14 +4190,14 @@
((((-560)) . T) (($) . T))
(((|#2| $) |has| |#2| (-298 |#2| |#2|)))
(((|#1| (-663 |#1|)) |has| |#1| (-871)))
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+(-2171 (|has| |#1| (-240)) (|has| |#1| (-363)))
+(-2171 (|has| |#1| (-376)) (|has| |#1| (-363)))
((((-1296 |#1|)) . T) (((-560)) . T) ((|#2|) . T) (((-421 (-560))) |has| |#2| (-1070 (-421 (-560)))))
(|has| |#1| (-1133))
(((|#1|) . T))
((((-421 (-560))) . T) (($) . T))
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+((((-1296 |#1|)) . T) (((-560)) . T) (($) -2171 (|has| |#2| (-376)) (|has| |#2| (-466)) (|has| |#2| (-571)) (|has| |#2| (-940))) (((-1114)) . T) ((|#2|) . T) (((-421 (-560))) -2171 (|has| |#2| (-38 (-421 (-560)))) (|has| |#2| (-1070 (-421 (-560))))))
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((((-936 |#1|)) . T) (((-421 (-560))) . T) (($) . T))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
(((|#1| |#1|) -12 (|has| |#1| (-321 |#1|)) (|has| |#1| (-1133))))
@@ -4214,11 +4214,11 @@
(((|#1| |#2| |#3| |#4|) . T))
(((#0=(-1172 |#1| |#2|) #0#) |has| (-1172 |#1| |#2|) (-321 (-1172 |#1| |#2|))))
(((|#1|) . T))
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+(-2171 (|has| |#1| (-240)) (|has| |#1| (-239)))
(((#0=(-118 |#1|)) |has| #0# (-321 #0#)))
((($ $) . T))
-(-2179 (|has| |#1| (-872)) (|has| |#1| (-1133)))
+(-2171 (|has| |#1| (-872)) (|has| |#1| (-1133)))
((($ $) . T) ((#0=(-889 |#1|) $) . T) ((#0# |#2|) . T))
((($ $) . T) ((|#2| $) |has| |#1| (-240)) ((|#2| |#1|) |has| |#1| (-240)) ((|#3| |#1|) . T) ((|#3| $) . T))
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T) ((-73 . -410) T) ((-1056 . -38) 198512) ((-716 . -414) 198494) ((-99 . -102) T) ((-1329 . -1083) 198481) ((-733 . -1133) T) ((-1145 . -875) 198432) ((-1035 . -147) 198404) ((-1035 . -149) 198376) ((-894 . -668) 198348) ((-391 . -111) 198304) ((-331 . -1254) 198283) ((-488 . -1034) 198249) ((-353 . -38) 198214) ((-40 . -383) 198186) ((-898 . -632) 198058) ((-129 . -127) 198042) ((-123 . -127) 198026) ((-858 . -1088) 197996) ((-856 . -21) 197948) ((-852 . -1088) 197932) ((-856 . -25) 197884) ((-331 . -571) 197835) ((-531 . -635) 197816) ((-560 . -845) T) ((-246 . -1249) T) ((-1066 . -635) 197785) ((-858 . -111) 197750) ((-852 . -111) 197729) ((-1285 . -632) 197711) ((-1264 . -632) 197693) ((-1264 . -633) 197364) ((-1203 . -940) 197343) ((-1157 . -940) 197322) ((-48 . -38) 197287) ((-1321 . -1144) T) ((-549 . -298) 197243) ((-616 . -632) 197155) ((-616 . -633) 197116) ((-1320 . -1144) T) ((-374 . -635) 197100) ((-334 . -635) 197084) ((-1174 . -239) 197035) ((-246 . -1070) 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) ((-154 . -23) T) ((-530 . -298) 195848) ((-339 . -528) 195781) ((-510 . -298) 195733) ((-391 . -250) T) ((-391 . -240) T) ((-858 . -1081) T) ((-852 . -1081) T) ((-734 . -980) 195702) ((-723 . -872) T) ((-630 . -875) T) ((-488 . -632) 195684) ((-1286 . -1083) 195589) ((-594 . -668) 195561) ((-560 . -668) 195533) ((-509 . -668) 195483) ((-852 . -240) 195462) ((-136 . -872) T) ((-1286 . -662) 195354) ((-676 . -1133) T) ((-1221 . -618) 195333) ((-565 . -1226) 195312) ((-346 . -1133) T) ((-331 . -376) 195291) ((-421 . -149) 195270) ((-421 . -147) 195249) ((-994 . -1144) 195148) ((-839 . -1144) 195126) ((-246 . -928) 195058) ((-678 . -877) 195042) ((-493 . -618) 195021) ((-110 . -875) T) ((-538 . -1249) T) ((-565 . -107) 194971) ((-1036 . -390) 194953) ((-1036 . -351) 194935) ((-1209 . -632) 194917) ((-97 . -1133) T) ((-994 . -23) 194728) ((-491 . -21) T) ((-491 . -25) T) ((-839 . -23) 194580) ((-1209 . -633) 194502) ((-58 . -19) 194486) ((-1203 . -748) T) ((-1157 . -748) T) ((-1119 . -1133) 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) ((-501 . -844) T) ((-501 . -951) T) ((-372 . -1254) T) ((-367 . -1254) T) ((-359 . -1254) T) ((-331 . -1144) T) ((-326 . -1083) 193494) ((-325 . -1083) 193423) ((-108 . -1254) T) ((-645 . -635) 193404) ((-372 . -571) T) ((-221 . -951) T) ((-221 . -844) T) ((-326 . -662) 193314) ((-325 . -662) 193243) ((-367 . -571) T) ((-359 . -571) T) ((-659 . -111) 193222) ((-497 . -635) 193203) ((-108 . -571) T) ((-1200 . -1052) NIL) ((-676 . -739) 193173) ((-496 . -875) 193124) ((-222 . -635) 193105) ((-331 . -23) T) ((-67 . -1249) T) ((-1032 . -632) 193037) ((-1329 . -1184) T) ((-716 . -274) 193019) ((-716 . -234) 193001) ((-1324 . -21) T) ((-736 . -111) 192966) ((-1324 . -25) T) ((-663 . -34) T) ((-252 . -503) 192950) ((-1321 . -133) T) ((-1320 . -133) T) ((-1313 . -102) T) ((-1296 . -632) 192916) ((-1129 . -1131) 192900) ((-174 . -1133) T) ((-1289 . -1249) T) ((-1280 . -1249) T) ((-1280 . -1070) 192835) ((-1259 . -1249) T) ((-1259 . -912) NIL) ((-976 . -940) 192814) ((-1259 . -910) 192766) ((-1259 . -1070) 192732) ((-1242 . -528) 192699) ((-529 . -635) 192683) ((-1221 . -633) NIL) ((-1221 . -632) 192665) ((-1174 . -1155) 192610) ((-495 . -940) 192589) ((-1119 . -739) 192438) ((-1094 . -670) 192410) ((-976 . -670) 192299) ((-842 . -875) T) ((-803 . -739) 192128) ((-611 . -504) 192109) ((-600 . -504) 192090) ((-611 . -632) 192056) ((-600 . -632) 192022) ((-549 . -632) 192004) ((-593 . -1249) T) ((-549 . -633) 191985) ((-802 . -739) 191834) ((-1109 . -102) T) ((-642 . -668) 191806) ((-395 . -25) T) ((-395 . -21) T) ((-495 . -670) 191695) ((-475 . -739) 191666) ((-468 . -739) 191515) ((-1018 . -102) T) ((-1078 . -1244) 191444) ((-931 . -321) 191382) ((-758 . -102) T) ((-659 . -635) 191359) ((-119 . -668) 191289) ((-901 . -93) T) ((-736 . -635) 191243) ((-703 . -93) T) ((-545 . -25) T) ((-698 . -93) T) ((-686 . -632) 191225) ((-667 . -504) 191206) ((-667 . -632) 191159) ((-143 . -102) T) ((-44 . -133) T) ((-610 . -1249) T) ((-609 . -1249) T) ((-357 . -1089) T) ((-301 . -1144) 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) ((-1242 . -302) 187809) ((-1219 . -1249) T) ((-1216 . -381) T) ((-1215 . -381) T) ((-1178 . -153) 187793) ((-1152 . -102) T) ((-1147 . -1133) T) ((-1111 . -23) T) ((-1111 . -1144) T) ((-1108 . -102) T) ((-1090 . -632) 187760) ((-1035 . -424) 187732) ((-955 . -985) T) ((-758 . -321) 187670) ((-76 . -1249) T) ((-686 . -397) 187642) ((-171 . -940) 187595) ((-30 . -985) T) ((-114 . -868) T) ((-1 . -632) 187577) ((-1028 . -922) 187498) ((-131 . -673) 187480) ((-50 . -640) 187464) ((-716 . -668) 187399) ((-609 . -928) 187312) ((-452 . -102) T) ((-143 . -321) NIL) ((-131 . -385) 187294) ((-897 . -1081) T) ((-856 . -872) 187273) ((-81 . -1249) T) ((-733 . -302) T) ((-40 . -1089) T) ((-595 . -175) T) ((-532 . -175) T) ((-526 . -632) 187255) ((-171 . -670) 187129) ((-521 . -632) 187111) ((-365 . -149) 187093) ((-365 . -147) T) ((-372 . -1144) T) ((-367 . -1144) T) ((-359 . -1144) T) ((-1036 . -319) T) ((-944 . -319) T) ((-897 . -250) T) ((-108 . -1144) T) ((-897 . -240) 187072) ((-1285 . -111) 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) ((-488 . -1088) 185035) ((-514 . -113) T) ((-357 . -1133) T) ((-325 . -1184) NIL) ((-301 . -133) T) ((-407 . -1133) T) ((-894 . -1089) T) ((-716 . -383) 185002) ((-353 . -668) 184932) ((-227 . -640) 184909) ((-339 . -298) 184861) ((-488 . -111) 184682) ((-1285 . -1081) T) ((-1264 . -1081) T) ((-840 . -390) 184666) ((-850 . -1249) T) ((-171 . -748) T) ((-1315 . -1249) T) ((-678 . -102) T) ((-1285 . -250) 184645) ((-1285 . -240) 184597) ((-1264 . -240) 184502) ((-1264 . -250) 184481) ((-1035 . -416) NIL) ((-692 . -660) 184429) ((-326 . -38) 184339) ((-325 . -38) 184268) ((-69 . -632) 184250) ((-331 . -507) 184216) ((-48 . -668) 184166) ((-1221 . -300) 184145) ((-1258 . -872) T) ((-1145 . -1144) 184123) ((-84 . -1249) T) ((-62 . -632) 184105) ((-889 . -875) T) ((-493 . -300) 184084) ((-1315 . -1070) 184061) ((-1197 . -1133) T) ((-1145 . -23) 183913) ((-840 . -928) 183849) ((-1268 . -748) T) ((-1129 . -1249) T) ((-488 . -635) 183675) ((-365 . -239) T) ((-1119 . -302) 183606) ((-996 . -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) ((-1264 . -821) 178964) ((-260 . -390) 178933) ((-259 . -390) 178902) ((-564 . -875) T) ((-678 . -38) 178872) ((-627 . -34) T) ((-496 . -1144) 178850) ((-489 . -34) T) ((-1145 . -133) 178721) ((-994 . -25) 178532) ((-936 . -635) 178482) ((-899 . -632) 178464) ((-218 . -868) T) ((-994 . -21) 178419) ((-839 . -25) 178252) ((-839 . -21) 178163) ((-1256 . -381) T) ((-642 . -1089) T) ((-1211 . -571) 178142) ((-1203 . -47) 178119) ((-368 . -1081) T) ((-366 . -1081) T) ((-496 . -23) 177971) ((-358 . -1081) T) ((-275 . -1081) T) ((-255 . -1081) T) ((-1157 . -47) 177943) ((-119 . -1089) T) ((-1066 . -670) 177917) ((-988 . -34) T) ((-368 . -240) 177896) ((-368 . -250) T) ((-366 . -240) 177875) ((-366 . -250) T) ((-358 . -240) 177854) ((-358 . -250) T) ((-275 . -338) 177826) ((-255 . -338) 177783) ((-275 . -240) 177762) ((-1187 . -153) 177746) ((-260 . -928) 177678) ((-259 . -928) 177610) ((-1174 . -922) 177531) ((-1114 . -872) T) ((-1266 . -1249) 177509) ((-429 . -1144) T) ((-1242 . -1034) 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) ((-852 . -748) T) ((-1148 . -1249) T) ((-663 . -1249) T) ((-1111 . -660) 175413) ((-1203 . -928) 175356) ((-1157 . -928) 175340) ((-839 . -236) 175231) ((-674 . -1088) 175215) ((-108 . -660) 175197) ((-496 . -133) 175068) ((-1211 . -1144) T) ((-843 . -1249) T) ((-976 . -47) 175037) ((-642 . -1133) T) ((-674 . -111) 175016) ((-505 . -632) 174982) ((-339 . -300) 174959) ((-400 . -1249) T) ((-336 . -1249) T) ((-495 . -47) 174916) ((-1211 . -23) T) ((-119 . -1133) T) ((-103 . -102) 174866) ((-1312 . -1144) T) ((-563 . -872) T) ((-229 . -1249) T) ((-1086 . -133) T) ((-1056 . -1089) T) ((-1312 . -23) T) ((-1229 . -632) 174848) ((-843 . -1070) 174832) ((-1152 . -845) T) ((-1035 . -746) 174804) ((-1137 . -1133) T) ((-721 . -739) 174769) ((-597 . -632) 174751) ((-400 . -1070) 174735) ((-353 . -1089) T) ((-394 . -133) T) ((-336 . -1070) 174719) ((-1111 . -21) T) ((-1111 . -25) T) ((-1036 . -844) T) ((-229 . -912) 174701) ((-1036 . -951) T) ((-91 . -34) T) ((-1028 . -321) 174666) ((-944 . -951) 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) ((-450 . -1133) T) ((-1094 . -319) T) ((-119 . -302) T) ((-1135 . -102) T) ((-1035 . -102) T) ((-597 . -111) 167007) ((-1242 . -1081) T) ((-1174 . -321) 166945) ((-1094 . -1052) T) ((-1086 . -25) T) ((-66 . -1249) T) ((-916 . -1249) T) ((-1086 . -21) T) ((-733 . -1081) T) ((-394 . -21) T) ((-394 . -25) T) ((-716 . -528) NIL) ((-1056 . -175) T) ((-733 . -250) T) ((-1094 . -559) T) ((-734 . -668) 166855) ((-520 . -102) T) ((-516 . -102) T) ((-357 . -632) 166837) ((-353 . -175) T) ((-421 . -1083) 166789) ((-407 . -632) 166771) ((-1152 . -871) T) ((-488 . -748) T) ((-916 . -1070) 166739) ((-421 . -662) 166691) ((-108 . -872) T) ((-676 . -1088) 166675) ((-501 . -133) T) ((-1286 . -1089) T) ((-221 . -133) T) ((-1187 . -102) 166625) ((-99 . -1133) T) ((-246 . -875) 166576) ((-252 . -688) 166560) ((-252 . -673) 166544) ((-676 . -111) 166523) ((-597 . -635) 166507) ((-326 . -426) 166491) ((-252 . -385) 166475) ((-1192 . -242) 166422) ((-1028 . -274) 166406) ((-1028 . -234) 166390) ((-74 . -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) ((-1299 . -503) 164339) ((-1217 . -1249) T) ((-1216 . -1249) T) ((-1174 . -38) 164299) ((-986 . -23) T) ((-936 . -670) 164264) ((-890 . -1133) T) ((-866 . -102) T) ((-841 . -21) T) ((-652 . -1083) 164248) ((-620 . -1083) 164232) ((-841 . -25) T) ((-757 . -23) T) ((-737 . -23) T) ((-652 . -662) 164216) ((-110 . -684) T) ((-620 . -662) 164200) ((-595 . -1088) 164165) ((-532 . -1088) 164110) ((-231 . -57) 164068) ((-467 . -23) T) ((-421 . -102) T) ((-1215 . -1249) T) ((-270 . -102) T) ((-110 . -113) T) ((-716 . -302) T) ((-891 . -38) 164038) ((-1119 . -635) 163774) ((-595 . -111) 163730) ((-532 . -111) 163659) ((-419 . -1144) T) ((-326 . -1089) 163549) ((-325 . -1089) T) ((-132 . -1249) T) ((-131 . -1249) T) ((-803 . -635) 163297) ((-802 . -635) 163063) ((-676 . -1081) T) ((-1329 . -1133) T) ((-468 . -635) 162848) ((-171 . -319) 162779) ((-419 . -23) T) ((-40 . -632) 162761) ((-40 . -633) 162745) ((-108 . -1023) 162727) ((-118 . -895) 162711) ((-671 . -635) 162695) ((-48 . -528) 162661) ((-1236 . -1042) 162645) ((-1214 . -632) 162612) ((-1221 . -34) T) ((-984 . -632) 162578) ((-949 . -632) 162560) ((-1145 . -872) 162511) ((-793 . -632) 162493) ((-694 . -632) 162475) ((-531 . -1249) T) ((-1268 . -319) 162454) ((-1187 . -321) 162392) ((-1173 . -34) T) ((-493 . -34) T) ((-1124 . -1249) T) ((-491 . -466) T) ((-1066 . -1249) T) ((-1119 . -1081) T) ((-50 . -635) 162361) ((-803 . -1081) T) ((-802 . -1081) T) ((-669 . -242) 162345) ((-651 . -242) 162291) ((-1211 . -21) T) ((-595 . -635) 162241) ((-532 . -635) 162171) ((-496 . -236) 162062) ((-1211 . -25) T) ((-1119 . -338) 162023) ((-468 . -1081) T) ((-1119 . -240) 162002) ((-803 . -338) 161979) ((-803 . -240) T) ((-802 . -338) 161951) ((-753 . -1254) 161930) ((-533 . -34) T) ((-339 . -673) 161914) ((-530 . -34) T) ((-58 . -34) T) ((-511 . -34) T) ((-510 . -34) T) ((-468 . -338) 161893) ((-339 . -385) 161877) ((-374 . -1249) T) ((-334 . -1249) T) ((-1035 . -1184) NIL) ((-753 . -571) 161808) ((-652 . -102) T) ((-620 . -102) T) ((-368 . -748) T) ((-366 . -748) T) ((-358 . -748) T) ((-275 . -748) T) ((-255 . -748) T) ((-391 . -1249) T) ((-1312 . -21) T) ((-1078 . -321) 161716) ((-1312 . -25) T) ((-931 . -1133) 161694) ((-842 . -236) 161681) ((-50 . -1081) T) ((-1207 . -571) 161660) ((-1206 . -1254) 161639) ((-1206 . -571) 161590) ((-1200 . -1254) 161569) ((-1200 . -571) 161520) ((-1056 . -302) T) ((-595 . -1081) T) ((-532 . -1081) T) ((-1035 . -38) 161465) ((-374 . -1070) 161449) ((-334 . -1070) 161433) ((-1028 . -668) 161356) ((-391 . -912) 161338) ((-858 . -1249) T) ((-852 . -1249) T) ((-849 . -1249) T) ((-822 . -1144) T) ((-936 . -748) T) ((-595 . -250) T) ((-595 . -240) T) ((-532 . -240) T) ((-532 . -250) T) ((-1158 . -571) 161317) ((-353 . -302) T) ((-669 . -717) 161301) ((-391 . -1070) 161261) ((-305 . -1083) 161182) ((-352 . -922) 161161) ((-1152 . -1089) T) ((-103 . -127) 161145) ((-305 . -662) 161087) ((-822 . -23) T) ((-1321 . -1319) 161063) ((-1320 . -1319) 161042) ((-1299 . -298) 160994) ((-1286 . -1133) T) ((-421 . -321) 160959) ((-1174 . -930) 160882) ((-894 . -632) 160864) ((-858 . -1070) 160833) ((-661 . -1088) 160817) ((-206 . -809) T) ((-205 . -809) T) ((-204 . -809) T) ((-203 . -809) T) ((-202 . -809) T) ((-201 . -809) T) ((-200 . -809) T) ((-199 . -809) T) ((-198 . -809) T) ((-197 . -809) T) ((-562 . -632) 160799) ((-509 . -1034) T) ((-285 . -863) T) ((-284 . -863) T) ((-283 . -863) T) ((-282 . -863) T) ((-48 . -302) T) ((-281 . -863) T) ((-280 . -863) T) ((-279 . -863) T) ((-196 . -809) T) ((-661 . -111) 160778) ((-630 . -872) T) ((-678 . -426) 160762) ((-692 . -239) 160713) ((-227 . -635) 160675) ((-110 . -872) T) ((-677 . -21) T) ((-677 . -25) T) ((-1323 . -38) 160645) ((-119 . -298) 160596) ((-1299 . -19) 160580) ((-1259 . -875) NIL) ((-1299 . -618) 160557) ((-1313 . -1133) T) ((-365 . -1083) 160502) ((-1109 . -1133) T) ((-1018 . -1133) T) ((-986 . -133) T) ((-841 . -236) 160489) ((-758 . -1133) T) ((-365 . -662) 160434) ((-757 . -133) T) ((-737 . -133) T) ((-526 . -817) T) ((-526 . -818) T) ((-467 . -133) T) ((-421 . -1184) 160412) ((-227 . -1081) T) ((-305 . -102) 160194) ((-143 . -1133) T) ((-721 . -1034) T) ((-1137 . -298) 160150) ((-91 . -1249) T) ((-218 . -632) 160132) ((-129 . -632) 160064) ((-123 . -632) 159996) ((-1329 . -175) T) ((-1206 . -376) 159975) ((-1200 . -376) 159954) ((-326 . -1133) T) ((-419 . -133) T) ((-325 . -1133) T) ((-421 . -38) 159906) ((-1165 . -102) T) ((-1286 . -739) 159798) ((-1167 . -1295) T) ((-1128 . -1249) T) ((-1123 . -1249) T) ((-678 . -1089) T) ((-1105 . -1249) T) ((-1098 . -1249) T) ((-1068 . -1249) T) ((-1051 . -1249) T) ((-331 . -147) 159777) ((-331 . -149) 159756) ((-141 . -1133) T) ((-137 . -1133) T) ((-115 . -1133) T) ((-883 . -102) T) ((-645 . -1249) T) ((-497 . -1249) T) ((-594 . -632) 159738) ((-560 . -633) 159637) ((-560 . -632) 159619) ((-509 . -632) 159601) ((-509 . -633) 159546) ((-499 . -23) T) ((-222 . -1249) T) ((-496 . -872) 159497) ((-501 . -660) 159479) ((-995 . -632) 159461) ((-1035 . -930) 159370) ((-221 . -660) 159352) ((-229 . -418) T) ((-674 . -670) 159336) ((-55 . -632) 159318) ((-1203 . -951) 159297) ((-753 . -1144) T) ((-657 . -102) T) ((-529 . -1249) T) ((-525 . -1249) T) ((-522 . -1249) T) ((-365 . -102) T) ((-1250 . -1115) T) ((-1152 . -868) T) ((-842 . -872) T) ((-753 . -23) T) ((-357 . -1088) 159242) ((-1180 . -107) 159226) ((-1302 . -632) 159208) ((-1207 . -23) T) ((-1207 . -1144) T) ((-1206 . -1144) T) ((-659 . -1249) T) ((-1206 . -23) T) ((-1200 . -1144) T) ((-1200 . -23) T) ((-1174 . -274) 159192) ((-529 . -1070) 159176) ((-1174 . -234) 159160) ((-1158 . -1144) T) ((-357 . -111) 159089) ((-1036 . -1254) T) ((-128 . -1249) T) ((-944 . -1254) T) ((-1158 . -23) T) ((-1108 . -1133) T) ((-716 . -298) NIL) ((-736 . -1249) T) ((-1036 . -571) T) ((-944 . -571) T) ((-839 . -239) 158986) ((-625 . -684) T) ((-624 . -684) T) ((-257 . -1249) T) ((-186 . -1249) T) ((-163 . -1249) T) ((-159 . -1249) T) ((-256 . -632) 158968) ((-622 . -684) T) ((-822 . -133) T) 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156849) ((-391 . -1052) T) ((-108 . -149) T) ((-108 . -147) NIL) ((-45 . -242) 156799) ((-678 . -1133) T) ((-627 . -107) 156746) ((-499 . -133) T) ((-489 . -107) 156696) ((-246 . -1144) 156674) ((-31 . -1249) T) ((-897 . -390) 156658) ((-897 . -351) 156642) ((-246 . -23) 156494) ((-40 . -635) 156424) ((-1313 . -528) 156357) ((-1094 . -951) T) ((-1094 . -844) T) ((-595 . -381) T) ((-532 . -381) T) ((-1289 . -571) 156336) ((-1285 . -1249) T) ((-1280 . -1254) 156315) ((-1280 . -571) 156266) ((-1264 . -1249) T) ((-365 . -1184) T) ((-339 . -34) T) ((-44 . -432) 156250) ((-1214 . -635) 156186) ((-898 . -1249) T) ((-404 . -766) 156170) ((-1264 . -912) 156043) ((-1264 . -910) 156013) ((-1174 . -668) 155972) ((-753 . -133) T) ((-694 . -635) 155956) ((-1259 . -1254) 155935) ((-1259 . -571) 155886) ((-1207 . -133) T) ((-1206 . -133) T) ((-1200 . -133) T) ((-1158 . -133) T) ((-324 . -1115) T) ((-1056 . -1034) T) ((-758 . -528) 155819) ((-1036 . -23) T) ((-1036 . -1144) T) ((-919 . -1133) T) ((-146 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. -1083) 148942) ((-1200 . -660) 148894) ((-491 . -662) 148859) ((-663 . -875) 148838) ((-499 . -25) T) ((-499 . -21) T) ((-1264 . -1052) 148790) ((-1090 . -1249) T) ((-1 . -1249) T) ((-642 . -1081) T) ((-391 . -418) T) ((-404 . -102) T) ((-1137 . -637) 148705) ((-275 . -928) 148651) ((-255 . -928) 148628) ((-119 . -1081) T) ((-1119 . -748) T) ((-840 . -1144) T) ((-843 . -875) T) ((-642 . -240) 148607) ((-638 . -102) T) ((-526 . -1249) T) ((-521 . -1249) T) ((-803 . -748) T) ((-802 . -748) T) ((-1255 . -872) T) ((-427 . -1144) T) ((-119 . -250) T) ((-40 . -381) NIL) ((-119 . -240) NIL) ((-400 . -875) 148586) ((-468 . -748) T) ((-840 . -23) T) ((-753 . -25) T) ((-753 . -21) T) ((-692 . -922) 148507) ((-1109 . -298) 148486) ((-75 . -411) T) ((-75 . -410) T) ((-547 . -789) 148468) ((-229 . -875) T) ((-716 . -1088) 148418) ((-1325 . -102) T) ((-1289 . -133) T) ((-1280 . -133) T) ((-1259 . -133) T) ((-1207 . -25) T) ((-1174 . -426) 148402) ((-652 . -380) 148334) ((-620 . -380) 148266) 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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 . 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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) 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-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 . -872) 127346) ((-734 . -338) 127323) ((-495 . -660) 127271) ((-40 . -1070) 127159) ((-734 . -240) T) ((-723 . -739) 127146) ((-352 . -1133) T) ((-177 . -1133) T) ((-343 . -872) T) ((-419 . -466) 127096) ((-391 . -23) T) ((-372 . -38) 127061) ((-367 . -38) 127026) ((-359 . -38) 126991) ((-80 . -455) T) ((-80 . -410) T) ((-229 . -25) T) ((-229 . -21) T) ((-858 . -1144) T) ((-108 . -38) 126941) ((-852 . -1144) T) ((-795 . -1133) T) ((-118 . -739) 126928) ((-694 . -1070) 126912) ((-630 . -102) T) ((-858 . -23) T) ((-852 . -23) T) ((-1187 . -298) 126864) ((-1145 . -321) 126802) ((-496 . -1083) 126703) ((-1129 . -242) 126687) ((-61 . -411) T) ((-61 . -410) T) ((-1185 . -102) T) ((-110 . -102) T) ((-496 . -662) 126609) ((-40 . -390) 126586) ((-96 . -102) T) ((-677 . -877) 126570) ((-1203 . -236) 126557) ((-1167 . -1115) T) ((-1094 . -21) T) ((-1094 . -25) T) ((-1086 . -1083) 126541) ((-839 . -274) 126510) ((-839 . -234) 126479) ((-976 . -25) T) ((-976 . -21) T) ((-1152 . -381) T) ((-1086 . -662) 126421) ((-638 . -1089) T) ((-1059 . -321) 126359) ((-914 . -632) 126341) ((-692 . -668) 126300) ((-495 . -25) T) ((-495 . -21) T) ((-394 . -1083) 126284) ((-911 . -632) 126266) ((-894 . -1249) T) ((-537 . -528) 126199) ((-260 . -872) 126150) ((-259 . -872) 126101) ((-394 . -662) 126071) ((-896 . -660) 126048) ((-490 . -321) 125986) ((-562 . -1249) T) ((-477 . -321) 125924) ((-365 . -302) T) ((-1187 . -1288) 125908) ((-1174 . -632) 125870) ((-1174 . -633) 125831) ((-1172 . -102) T) ((-1028 . -1088) 125727) ((-40 . -928) 125679) ((-1187 . -618) 125656) ((-1329 . -670) 125643) ((-1095 . -153) 125589) ((-501 . -922) NIL) ((-891 . -504) 125566) ((-1028 . -111) 125448) ((-897 . -1254) T) ((-221 . -922) NIL) ((-352 . -739) 125432) ((-891 . -632) 125394) ((-177 . -739) 125326) ((-897 . -571) T) ((-421 . -298) 125284) ((-246 . -239) 125181) ((-108 . -414) 125163) ((-85 . -398) T) ((-85 . -410) T) ((-723 . -175) T) ((-636 . -632) 125145) ((-99 . -748) T) ((-496 . -102) 124877) ((-99 . -487) T) ((-118 . -175) T) ((-1321 . -668) 124836) ((-1320 . -668) 124795) ((-171 . -660) 124743) ((-1111 . -930) 124614) ((-1086 . -102) T) ((-1028 . -635) 124504) ((-896 . -25) T) ((-839 . -245) 124483) ((-896 . -21) T) ((-842 . -102) T) ((-1036 . -239) T) ((-44 . -668) 124426) ((-429 . -102) T) ((-394 . -102) T) ((-110 . -321) NIL) ((-231 . -102) 124376) ((-218 . -1249) T) ((-129 . -1249) T) ((-123 . -1249) T) ((-108 . -930) NIL) ((-841 . -1083) 124327) ((-58 . -875) 124306) ((-841 . -662) 124248) ((-530 . -875) 124227) ((-510 . -875) 124206) ((-1066 . -133) T) ((-692 . -380) 124190) ((-154 . -668) 124149) ((-1329 . -748) T) ((-652 . -298) 124107) ((-620 . -298) 124065) ((-1289 . -147) 124044) ((-1268 . -660) 123992) ((-1028 . -1081) T) ((-1135 . -632) 123974) ((-1035 . -632) 123956) ((-594 . -1249) T) ((-560 . -1249) T) ((-509 . -1249) T) ((-529 . -23) T) ((-525 . -23) T) ((-357 . -319) T) ((-522 . -23) T) ((-334 . -133) T) ((-3 . -1133) T) ((-1035 . -633) 123940) ((-1028 . -250) 123919) ((-1028 . -240) 123898) ((-1289 . -149) 123877) ((-1285 . -1254) 123856) ((-856 . -1133) T) ((-1280 . -149) 123835) ((-1280 . -147) 123814) ((-1264 . -1254) 123793) ((-1259 . -147) 123700) ((-1259 . -149) 123607) ((-391 . -133) T) ((-229 . -236) 123594) ((-177 . -175) T) ((-560 . -912) 123576) ((0 . -1133) T) ((-171 . -21) T) ((-171 . -25) T) ((-55 . -1249) T) ((-49 . -1133) T) ((-1286 . -670) 123481) ((-1285 . -571) 123432) ((-1264 . -571) 123383) ((-736 . -1144) T) ((-659 . -23) T) ((-560 . -1070) 123365) ((-609 . -149) 123344) ((-609 . -147) 123323) ((-509 . -1070) 123266) ((-1167 . -1169) T) ((-88 . -398) T) ((-88 . -410) T) ((-897 . -376) T) ((-858 . -133) T) ((-852 . -133) T) ((-994 . -668) 123210) ((-736 . -23) T) ((-520 . -632) 123160) ((-516 . -632) 123142) ((-839 . -668) 122921) ((-1324 . -1089) T) ((-391 . -1092) T) ((-1058 . -1133) 122899) ((-55 . -1070) 122881) ((-931 . -34) T) ((-496 . -321) 122819) ((-606 . -102) T) ((-1187 . -633) 122780) ((-1187 . -632) 122712) 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-670) 121441) ((-325 . -670) 121370) ((-488 . -571) 121321) ((-352 . -528) 121287) ((-565 . -153) 121237) ((-40 . -319) T) ((-866 . -632) 121219) ((-723 . -302) T) ((-897 . -23) T) ((-391 . -507) T) ((-1111 . -274) 121189) ((-1111 . -234) 121159) ((-524 . -102) T) ((-421 . -633) 120966) ((-421 . -632) 120948) ((-270 . -632) 120930) ((-118 . -302) T) ((-1286 . -748) T) ((-642 . -1249) T) ((-1325 . -1133) T) ((-1285 . -376) 120909) ((-1264 . -376) 120888) ((-1313 . -34) T) ((-1258 . -1133) T) ((-119 . -1249) T) ((-108 . -274) 120870) ((-108 . -234) 120852) ((-1211 . -102) T) ((-491 . -1133) T) ((-537 . -503) 120836) ((-758 . -34) T) ((-677 . -1083) 120820) ((-677 . -662) 120790) ((-896 . -236) NIL) ((-143 . -34) T) ((-119 . -910) 120767) ((-119 . -912) NIL) ((-1312 . -102) T) ((-1289 . -239) 120726) ((-642 . -1070) 120609) ((-625 . -102) T) ((-624 . -102) T) ((-622 . -102) T) ((-663 . -872) 120588) ((-1280 . -239) 120540) ((-1259 . -239) 120363) ((-307 . -102) T) ((-734 . -381) 120342) 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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) 103921) ((-723 . -111) 103906) ((-1325 . -632) 103872) ((-1325 . -504) 103853) ((-1285 . -236) 103799) ((-1264 . -236) 103652) ((-451 . -102) T) ((-901 . -1295) T) ((-258 . -102) T) ((-45 . -1182) 103602) ((-118 . -111) 103587) ((-1303 . -632) 103569) ((-1268 . -239) T) ((-1258 . -632) 103551) ((-1256 . -872) T) ((-652 . -742) T) ((-620 . -742) T) ((-1242 . -1144) T) ((-1242 . -23) T) ((-1203 . -466) 103482) ((-1200 . -321) 103367) ((-1199 . -1133) T) ((-839 . -528) 103300) ((-1067 . -1249) T) ((-246 . -1083) 103201) ((-1191 . -1133) T) ((-1174 . -670) 103139) ((-973 . -153) 103123) ((-1158 . -321) 103110) ((-1157 . -466) 103061) ((-246 . -662) 102983) ((-1119 . -571) 102914) ((-1119 . -1254) 102893) ((-1111 . -739) 102761) ((-539 . -102) T) ((-534 . -102) 102691) ((-1036 . -1083) 102641) ((-1026 . -1133) T) ((-840 . -922) 102537) ((-803 . -1254) 102516) ((-802 . -1254) 102495) ((-63 . -1249) T) ((-491 . -632) 102447) ((-491 . -633) 102369) ((-803 . -571) 102280) ((-802 . -571) 102211) 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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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83938) ((-1203 . -1083) 83761) ((-1174 . -1249) T) ((-1157 . -1083) 83604) ((-879 . -1083) 83588) ((-651 . -618) 83563) ((-1285 . -95) 83529) ((-1285 . -239) 83481) ((-1266 . -102) 83459) ((-1203 . -662) 83288) ((-1157 . -662) 83137) ((-879 . -662) 83107) ((-1264 . -1235) 83073) ((-1119 . -25) T) ((-564 . -1133) T) ((-1119 . -21) T) ((-986 . -1089) T) ((-545 . -816) T) ((-545 . -821) T) ((-119 . -1254) T) ((-891 . -1249) T) ((-642 . -571) T) ((-803 . -25) T) ((-803 . -21) T) ((-802 . -21) T) ((-802 . -25) T) ((-757 . -1089) T) ((-737 . -1089) T) ((-692 . -1088) 83057) ((-531 . -1115) T) ((-475 . -25) T) ((-119 . -571) T) ((-475 . -21) T) ((-468 . -25) T) ((-468 . -21) T) ((-1264 . -1238) 83023) ((-1185 . -93) T) ((-1174 . -1070) 82919) ((-841 . -302) 82898) ((-1264 . -239) 82757) ((-848 . -1133) T) ((-996 . -999) T) ((-692 . -111) 82736) ((-636 . -1249) T) ((-307 . -528) 82528) ((-1259 . -234) 82480) ((-1259 . -274) 82432) ((-1258 . -381) T) ((-260 . -321) 82370) ((-259 . -321) 82308) 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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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17245) ((-345 . -102) T) ((-336 . -632) 17227) ((-171 . -298) 17185) ((-1258 . -875) T) ((-64 . -1249) T) ((-114 . -102) T) ((-897 . -1133) T) ((-524 . -1249) T) ((-177 . -571) T) ((-736 . -739) 17155) ((-305 . -133) 17038) ((-229 . -632) 17020) ((-229 . -633) 16950) ((-1035 . -660) 16889) ((-1315 . -1081) T) ((-1211 . -1249) T) ((-1152 . -149) T) ((-651 . -1226) 16864) ((-753 . -940) 16843) ((-607 . -34) T) ((-669 . -107) 16827) ((-651 . -107) 16773) ((-625 . -1249) T) ((-624 . -1249) T) ((-622 . -1249) T) ((-1312 . -1249) T) ((-642 . -922) 16694) ((-1268 . -298) 16621) ((-753 . -670) 16510) ((-307 . -1249) T) ((-1211 . -1070) 16406) ((-973 . -637) 16383) ((-591 . -590) T) ((-591 . -541) T) ((-543 . -541) T) ((-119 . -922) NIL) ((-1200 . -940) NIL) ((-1094 . -633) 16298) ((-1094 . -632) 16280) ((-976 . -632) 16262) ((-735 . -504) 16212) ((-357 . -102) T) ((-260 . -1088) 16133) ((-259 . -1088) 16054) ((-407 . -102) T) ((-31 . -1133) T) ((-976 . -633) 15915) ((-735 . -632) 15850) 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((-326 . -95) 14388) ((-91 . -528) 14321) ((-177 . -376) T) ((-260 . -635) 14119) ((-259 . -635) 13917) ((-326 . -35) 13896) ((-627 . -503) 13830) ((-136 . -23) T) ((-118 . -23) T) ((-996 . -102) T) ((-740 . -1133) T) ((-489 . -503) 13767) ((-421 . -660) 13715) ((-677 . -1070) 13611) ((-988 . -503) 13595) ((-368 . -1089) T) ((-366 . -1089) T) ((-358 . -1089) T) ((-275 . -1089) T) ((-255 . -1089) T) ((-896 . -633) NIL) ((-896 . -632) 13577) ((-1311 . -504) 13558) ((-1310 . -504) 13539) ((-1323 . -21) T) ((-1311 . -632) 13505) ((-1310 . -632) 13471) ((-585 . -1034) T) ((-753 . -748) T) ((-1323 . -25) T) ((-260 . -1081) 13449) ((-259 . -1081) 13427) ((-72 . -1249) T) ((-1174 . -236) 13372) ((-260 . -240) 13324) ((-259 . -240) 13276) ((-1152 . -239) T) ((-40 . -102) T) ((-936 . -1089) T) ((-716 . -922) NIL) ((-1214 . -102) T) ((-131 . -503) 13258) ((-1207 . -748) T) ((-1206 . -748) T) ((-1200 . -748) T) ((-1200 . -814) NIL) ((-1200 . -818) NIL) ((-984 . -102) T) ((-949 . -102) T) ((-894 . -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) T) ((-880 . -632) 11352) ((-1107 . -298) 11331) ((-1242 . -668) 11241) ((-80 . -1249) T) ((-932 . -1249) T) ((-1236 . -528) 11174) ((-1036 . -940) NIL) ((-1119 . -274) 11158) ((-627 . -298) 11134) ((-1119 . -234) 11118) ((-501 . -1249) T) ((-585 . -632) 11100) ((-489 . -298) 11079) ((-1036 . -670) 11029) ((-531 . -93) T) ((-1035 . -236) 10960) ((-221 . -1249) T) ((-988 . -298) 10912) ((-894 . -102) T) ((-301 . -951) T) ((-841 . -319) 10891) ((-803 . -274) 10875) ((-803 . -234) 10859) ((-944 . -670) 10811) ((-733 . -668) 10761) ((-716 . -746) 10728) ((-652 . -21) T) ((-652 . -25) T) ((-620 . -21) T) ((-562 . -102) T) ((-357 . -38) 10693) ((-501 . -910) 10675) ((-501 . -912) 10657) ((-488 . -739) 10498) ((-61 . -1249) T) ((-221 . -910) 10480) ((-221 . -912) 10462) ((-620 . -25) T) ((-443 . -670) 10436) ((-1203 . -635) 10205) ((-501 . -1070) 10165) ((-897 . -528) 10077) ((-1157 . -635) 9869) ((-879 . -635) 9787) ((-221 . -1070) 9747) ((-246 . -34) T) ((-1032 . -1133) 9725) ((-594 . -1083) 9712) ((-560 . -1083) 9699) ((-509 . -1083) 9664) ((-1285 . -175) 9595) ((-1264 . -175) 9526) ((-594 . -662) 9513) ((-560 . -662) 9500) ((-509 . -662) 9465) ((-734 . -147) 9444) ((-734 . -149) 9423) ((-130 . -875) T) ((-723 . -133) T) ((-564 . -1249) T) ((-137 . -479) 9400) ((-1180 . -632) 9332) ((-676 . -680) 9316) ((-131 . -298) 9266) ((-118 . -133) T) ((-491 . -1254) T) ((-627 . -618) 9242) ((-489 . -618) 9221) ((-611 . -1133) T) ((-346 . -349) 9190) ((-600 . -1133) T) ((-549 . -1133) T) ((-491 . -571) T) ((-1203 . -1081) T) ((-1157 . -1081) T) ((-879 . -1081) T) ((-848 . -1249) T) ((-246 . -818) 9169) ((-246 . -817) 9148) ((-1203 . -338) 9125) ((-246 . -748) 9103) ((-988 . -19) 9087) ((-501 . -390) 9069) ((-501 . -351) 9051) ((-1157 . -338) 9023) ((-353 . -1307) 9000) ((-221 . -390) 8982) ((-221 . -351) 8964) ((-988 . -618) 8941) ((-1203 . -240) T) ((-1296 . -1133) T) ((-1221 . -1133) T) ((-686 . -1133) T) ((-667 . -1133) T) ((-1119 . -262) 8878) ((-597 . -668) 8838) ((-368 . -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) ((-359 . -951) T) ((-229 . -111) 7873) ((-856 . -23) 7825) ((-443 . -748) T) ((-108 . -951) T) ((-40 . -38) 7770) ((-108 . -844) T) ((-595 . -363) T) ((-532 . -363) T) ((-676 . -668) 7729) ((-326 . -466) 7708) ((-325 . -466) T) ((-616 . -528) 7641) ((-421 . -236) 7586) ((-352 . -133) T) ((-177 . -133) T) ((-305 . -25) 7450) ((-305 . -21) 7333) ((-45 . -1226) 7312) ((-66 . -632) 7294) ((-55 . -102) T) ((-346 . -668) 7276) ((-1302 . -102) T) ((-1299 . -102) 7206) ((-1289 . -670) 7131) ((-1280 . -670) 7028) ((-45 . -107) 6978) ((-843 . -635) 6962) ((-1259 . -670) 6814) ((-1259 . -940) NIL) ((-1255 . -1249) T) ((-1231 . -632) 6796) ((-1223 . -102) T) ((-1129 . -440) 6780) ((-1129 . -381) 6759) ((-400 . -635) 6743) ((-336 . -635) 6727) ((-1128 . -93) T) ((-1119 . -668) 6637) ((-1095 . -1249) T) ((-1094 . -1088) 6624) ((-1094 . -111) 6609) ((-976 . -111) 6438) ((-976 . -1088) 6281) ((-803 . -668) 6191) ((-802 . -668) 6101) ((-686 . -739) 6085) ((-642 . -1083) 6072) ((-642 . -662) 6059) ((-563 . -875) T) ((-495 . -1088) 5902) ((-491 . -376) T) ((-475 . -668) 5858) ((-468 . -668) 5768) ((-229 . -635) 5718) ((-368 . -739) 5670) ((-366 . -739) 5622) ((-119 . -1083) 5567) ((-358 . -739) 5519) ((-275 . -739) 5368) ((-255 . -739) 5217) ((-1123 . -93) T) ((-1105 . -93) T) ((-119 . -662) 5162) ((-1098 . -93) T) ((-973 . -673) 5146) ((-1090 . -1133) 5124) ((-495 . -111) 4953) ((-1068 . -93) T) ((-1051 . -93) T) ((-973 . -385) 4937) ((-256 . -102) T) ((-986 . -47) 4916) ((-74 . -632) 4898) ((-734 . -239) T) ((-732 . -102) T) ((-721 . -102) T) ((-1 . -1133) T) ((-638 . -1144) T) ((-1120 . -632) 4880) ((-645 . -93) T) ((-1107 . -632) 4862) ((-936 . -739) 4827) ((-128 . -503) 4811) ((-497 . -93) T) ((-638 . -23) T) ((-404 . -23) T) ((-88 . -1249) T) ((-222 . -93) T) ((-627 . -632) 4793) ((-627 . -633) NIL) ((-489 . -633) NIL) ((-489 . -632) 4775) ((-365 . -25) T) ((-365 . -21) T) ((-50 . -668) 4734) ((-526 . -1133) T) ((-521 . -1133) T) ((-123 . -321) 4672) ((-129 . -321) 4610) 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-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 a027c04d..c4ee603e 100644
--- a/src/share/algebra/compress.daase
+++ b/src/share/algebra/compress.daase
@@ -1,5 +1,5 @@
-(30 . 3509594072)
+(30 . 3509634647)
(4513 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain|
ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join|
|ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&|
@@ -489,676 +489,677 @@
|XPolynomialsCat| |XPolynomialRing| |XRecursivePolynomial|
|YoungDiagram| |ParadoxicalCombinatorsForStreams|
|ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod|
- |Enumeration| |Mapping| |Record| |Union| |clearTheIFTable| |quartic|
- |makeTerm| |screenResolution| |palglimint0| |point| |reseed|
- |clipParametric| |computePowers| |listConjugateBases|
- |permutationGroup| |wrregime| |rectangularMatrix| |commutative?|
- |resultantReduit| |symbolTableOf| |e01sef| |coefficients|
- |characteristicPolynomial| |uniform01| |distance|
- |basisOfMiddleNucleus| |printStatement| |satisfy?| SEGMENT |escape|
- |composite| |polygon| |node| |degreeSubResultant| |subresultantVector|
- |balancedBinaryTree| |rightPower| |endSubProgram| |subResultantsChain|
- |basis| |inR?| |s21baf| |conjunction| |create3Space| |series| |iitanh|
- |unitNormal| |meshFun2Var| |minset| |clearDenominator| |update|
- |lists| |removeSinhSq| |monic?| |relativeApprox| |invertIfCan|
- |coleman| |hcrf| |argumentListOf| |rowEchelon| |prem| |biRank|
- |associatedEquations| |collectQuasiMonic| |bumptab1| |separate|
- |patternVariable| |leaves| |jvmInterfaceMethodConstantTag|
- |expression| |janko2| |underscore| |expintegrate| |stopTableInvSet!|
- |externalList| |s19abf| |factorPolynomial| |polyRicDE| |empty?|
- |createZechTable| |integer| |stoseIntegralLastSubResultant| |quoted?|
- |cyclotomic| |basisOfLeftAnnihilator| |highCommonTerms|
- |selectMultiDimensionalRoutines| |viewDefaults| |approximants|
- |primextintfrac| |exponential1| |min| |internalSubPolSet?| |e01saf|
- |loopPoints| |rationalPoint?| |iiatan| |shiftRoots| |credPol| |s13aaf|
- |genericPosition| |minColIndex| |ReduceOrder| |eigenvector|
- |tanintegrate| |e02ahf| |sqfrFactor| |mantissa| |next|
- |linearAssociatedOrder| |sizePascalTriangle| |addPoint2|
- |showClipRegion| |fintegrate| |showRegion| |leftMinimalPolynomial|
- |pascalTriangle| |sequence| |addiag| |factorsOfCyclicGroupSize|
- |parabolicCylindrical| |iilog| |OMsupportsSymbol?| |largest|
- |fortranDoubleComplex| |groebgen| |setUnion| |uniform| |linears|
- |realEigenvectors| |clearTheFTable| |asinIfCan| |se2rfi|
- |exactQuotient| |leadingExponent| |changeWeightLevel| |var1Steps|
- |squareFreePrim| |karatsubaOnce| |extend| |singleFactorBound|
- |withPredicates| |createPrimitiveElement| |entry?| |arrayStack|
- |getStream| |removeCosSq| |OMgetType| |useNagFunctions| |bothWays|
- |semiDiscriminantEuclidean| |mvar| |exprex| |plenaryPower|
- |jordanAdmissible?| |lazyIntegrate| |generateIrredPoly|
- |getMultiplicationMatrix| |subNodeOf?| |compose| |iFTable| |LiePoly|
- |minRowIndex| |mindegTerm| |iicsch| |partitions| |s20adf| |setClosed|
- |zerosOf| |secIfCan| |elColumn2!| |meshPar1Var| |infieldint|
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- EQ |bezoutResultant| |equation| |unitNormalize| |c06ecf| |leftUnit|
- |LiePolyIfCan| |optional?| |zeroSetSplitIntoTriangularSystems|
- |safeCeiling| |f01mcf| |setLength!| |charClass|
- |numberOfIrreduciblePoly| |environment| |laurentIfCan| |coerceS|
- |rootOfIrreduciblePoly| |constant| |pmComplexintegrate| |evaluate|
- |rootProduct| |hitherPlane| |critT| |abs| |whitePoint| |ScanArabic|
- |nil?| |parseString| |setsubMatrix!| |ratPoly| |factorSFBRlcUnit|
- |generalizedEigenvector| |quadratic| |f07adf| |nor| |powerSum| |qPot|
- |removeSuperfluousQuasiComponents| |row| |errorInfo| |fi2df|
- |solveLinearlyOverQ| |bezoutMatrix| |addMatch| |rightUnits| |dec|
- |smith| |OMgetEndError| |getVariableOrder| |minusInfinity|
- |makeViewport3D| |debug| |e01baf| |euclideanNormalForm| |meshPar2Var|
- |exponentialOrder| |setPredicates| |OMParseError?| |OMreadFile|
- |solid?| |polyred| |OMencodingSGML| D |rational?| |depth| |Aleph|
- |toScale| |harmonic| |totalfract| |overset?| |moreAlgebraic?|
- |increase| |baseRDE| |points| |integralDerivationMatrix| |directSum|
- |times!| |df2ef| |startTableGcd!| |approxSqrt|
- |setLegalFortranSourceExtensions| |lowerCase?| |bounds|
- |transcendent?| |crushedSet| |genericRightTrace| |rowEch| |character?|
- |padicFraction| |htrigs| |e02zaf| |reducedContinuedFraction|
- |identity| |color| |nary?| |rotatex| |getGraph| |minPoints|
- |LazardQuotient| |logical?| |type| |nodeOf?| |primlimintfrac| |d01anf|
- |basisOfRightNucleus| |c02aff| |OMputVariable| |totalLex|
- |sortConstraints| |divergence| |binomial|
- |degreeSubResultantEuclidean| |fracPart| |rightRegularRepresentation|
- |hexDigit?| |psolve| |showTheSymbolTable| |BumInSepFFE|
- |createLowComplexityTable| |lineColorDefault| |lowerCase|
- |branchIfCan| |create| |triangularSystems| |listRepresentation|
- |limit| |setprevious!| |makeViewport2D| |empty| |rationalFunction|
- |root?| |f04adf| |lyndon?| |OMgetAtp| |cycleSplit!| |setErrorBound|
- |stiffnessAndStabilityFactor| |f02aff| |quasiRegular?| |normalDeriv|
- |declare| |printHeader| |quote| |s14abf| |OMputEndObject|
- |viewDeltaXDefault| |moduleSum| |divideIfCan!| |primintegrate|
- |computeInt| |enterInCache| |groebnerIdeal| |nextNormalPrimitivePoly|
- |polar| |high| |minimalPolynomial| |print| |prolateSpheroidal|
- |extendedResultant| |radicalSolve| |varselect| |binaryFunction|
- |froot| |structuralConstants| |redPo| |viewThetaDefault|
- |discriminantEuclidean| |resolve| |phiCoord| |applyRules|
- |finiteBasis| |outputMeasure| |expintfldpoly| |chineseRemainder|
- |apply| |semiResultantEuclidean2| |key| |pointColor| |debug3D|
- |squareFreePolynomial| |e04gcf| |complexZeros| |d01apf|
- |interpretString| |factorSquareFree| |swapRows!| |close| |insert!|
- |first| |pdf2df| |mainContent| |shape| |LyndonWordsList|
- |restorePrecision| |derivative| |cyclic| |e04naf| |filename| |diag|
- |rest| |rk4qc| |univariatePolynomials| |numerators| |nthExponent|
- |identityMatrix| |unary?| |elaborateFile| |pushNewContour| |display|
- |splitSquarefree| |lastSubResultantEuclidean| |besselK|
- |leftRankPolynomial| |showTheFTable| |sech2cosh| |e02aef| |scripted?|
- |drawComplex| |in?| |parse| |bat| |rationalPower| |setlast!|
- |jvmClassConstantTag| |log| |crest| |palgLODE0| |d02bhf| |floor|
- |monomRDEsys| |expandPower| |makeSketch| |eq?| |lazyVariations|
- |digit| |prevPrime| |OMputEndBind| |f07fef| |countable?| |cycleTail|
- |denominators| |maxint| |pointPlot| |complete| |getOperator|
- |mainCharacterization| |s18adf| |lowerPolynomial|
- |jvmMethodrefConstantTag| |sub| |clipBoolean| |OMgetEndApp| |octon|
- |var2StepsDefault| |input| |cdr| |linefeed| |arbitrary| |conical|
- |standardBasisOfCyclicSubmodule| |rules| |space| |nextItem|
- |summation| |library| |rubiksGroup| |factorAndSplit| |property|
- |randomR| |palgint0| |possiblyInfinite?| |measure2Result| |f04jgf|
- |sayLength| |d02cjf| |resetAttributeButtons| |curryRight|
- |pointColorPalette| |monomialIntPoly| |s14baf| |leadingIndex|
- |subHeight| |isOpen?| |innerEigenvectors| |cotIfCan| |acotIfCan|
- |close!| |d02bbf| |headReduced?| |iiperm| |linearElement|
- |OMputEndAtp| |fortranTypeOf| |rewriteIdealWithRemainder| |rischDEsys|
- |outputBinaryFile| |radix| |mapBivariate| |optional|
- |diophantineSystem| |expandTrigProducts| |super| |bright|
- |triangular?| |rdregime| |multiplyCoefficients| |prinpolINFO|
- |packageCall| |minGbasis| |numericIfCan| |even?| |repSq| |leftUnits|
- |poisson| |deepExpand| |unaryFunction| |remove!|
- |squareFreeLexTriangular| |makeMulti| |semiSubResultantGcdEuclidean2|
- |goto| |addPointLast| |numFunEvals| |maxRowIndex| |cosSinInfo|
- |stoseInvertibleSetsqfreg| |bits| |imagE| |addmod| |eulerPhi|
- |sin2csc| |attributeData| |prindINFO| |d01gaf| |units| |dictionary|
- |mulmod| |numberOfMonomials| |removeRedundantFactorsInContents|
- |reducedForm| |groebner| |rightExtendedGcd| |monicRightDivide|
- |OMsupportsCD?| |nextColeman| |modulus| |readIfCan!|
- |quasiAlgebraicSet| |d01aqf| |atoms| |halfExtendedSubResultantGcd1|
- |tanAn| |horizontalTab| |OMlistSymbols| |cup| |substitute| |imagi|
- |vector| |rdHack1| |brillhartTrials| |entry| |fortranLiteral|
- |logpart| |s18aff| |remove| |fortranComplex| |predicates|
- |minPoints3D| |differentiate| |partialFraction| |label| |sncndn|
- |viewDeltaYDefault| |finiteBound| |removeIrreducibleRedundantFactors|
- |show| UTS2UP |getProperties| |OMreceive| |laplacian| |code|
- |drawToScale| |jvmFieldrefConstantTag| |e04dgf| |solve| |last| |sn|
- |expr| |KrullNumber| |bandedHessian| |numerator| |diagonal?| |assoc|
- |mkPrim| |ScanRoman| GF2FG |chainSubResultants| |wholeRadix|
- |OMputSymbol| |const| |copy!| |jvmPrivate| |contains?| |rombergo|
- |calcRanges| |quoByVar| |choosemon| |explicitlyFinite?| |jacobian|
- |completeHermite| |lifting| |elRow1!| |f04asf| |tubePoints| |one?|
- |fprindINFO| |iipow| |rischNormalize| |setchildren!| |vspace| |level|
- |adaptive3D?| |listBranches| |fortranCarriageReturn| |f02fjf|
- |resetVariableOrder| |variable| |algebraicSort| |equality| |integral?|
- |c06gqf| |pack!| |toseInvertible?| |isOr| |printInfo| |squareFreePart|
- |rightRankPolynomial| |iterators| |modTree| |plotPolar|
- |stronglyReduce| |predicate| |bivariateSLPEBR| |option| |ptFunc|
- |controlPanel| |leadingBasisTerm| |f07fdf| |f04mbf| |e01bgf| |power|
- |primitivePart| |quotient| |top| |generic?| |vectorise| |every?|
- |pquo| |accuracyIF| |tablePow| |morphism| |tubePlot| |dual| |continue|
- |rightScalarTimes!| |lex| |lookupFunction| |leftRemainder|
- |primeFrobenius| |prinshINFO| |rotate!| |chvar|
- |rationalApproximation| |factorial| |disjunction| |nlde|
- |genericRightNorm| |monicCompleteDecompose| |powerAssociative?|
- |delete| |internalInfRittWu?| |roughSubIdeal?| |direction|
- |loadNativeModule| |writeByte!| |rootPower| |revert| |taylorQuoByVar|
- |jvmIntegerConstantTag| |d01amf| |solveLinearPolynomialEquation|
- |plus!| |e04fdf| |setfirst!| |SturmHabichtSequence|
- |exprHasWeightCosWXorSinWX| |reduceLODE| |splitLinear|
- |nativeModuleExtension| |element?| |ddFact| |d02gaf| |cyclicEntries|
- |linearDependenceOverZ| |quickSort| |iicosh| |nilFactor| |dfRange|
- |denomLODE| |karatsubaDivide| |tanSum| |palgextint0| |ldf2lst|
- |symmetricProduct| |kovacic| |mergeFactors| |npcoef| |OMopenFile|
- |sincos| |monicModulo| |rem| |nodes| |e04mbf| |outputForm| |gradient|
- |exprHasAlgebraicWeight| |operators| |processTemplate| |pr2dmp|
- |createNormalPoly| |comp| |quo| |clikeUniv| |rootSplit| |position!|
- |createIrreduciblePoly| |fTable| |closed| |children| |wreath|
- |returnType!| |jvmPublic| |euler| |coefficient| |taylorRep|
- |createGenericMatrix| |rightMinimalPolynomial| |cAcot| |OMwrite|
- |gbasis| |resultant| |iicos| |div| |setValue!| |inrootof| |digit?|
- |rightCharacteristicPolynomial| |setright!| |equiv| |reduced?|
- |primintfldpoly| |isEquiv| |irVar| |exquo| |ode2| |mapDown!|
- |palgLODE| |oddInfiniteProduct| |skewSFunction| |heapSort|
- |perfectNthPower?| |outputAsScript| |c05adf| ~= |subscriptedVariables|
- |mapExponents| |coth2tanh| |makeSUP| |pattern| |basisOfNucleus|
- |f02akf| |ScanFloatIgnoreSpaces| |showAllElements| |mainExpression|
- |showSummary| |#| |baseRDEsys| |elem?| |patternMatch| |hessian| BY
- |FormatRoman| |OMgetBind| |closedCurve| |coHeight| |partition| ~
- |palgextint| |nthFlag| |minimumDegree| |scalarMatrix| |readInt8!|
- |back| |complexEigenvalues| |rCoord| |queue| |showAttributes|
- |factorByRecursion| |cCsc| |internalLastSubResultant| |lllip|
- |double?| |normalDenom| |setCondition!| |shallowCopy| |cAsin|
- |tubeRadius| |f07aef| |aspFilename| |pointSizeDefault| |elaboration|
- |cschIfCan| |member?| |tanh2trigh| |basicSet| |light| |/\\|
- |allRootsOf| |concat| |cycles| |initiallyReduced?| |stopTableGcd!|
- |leadingIdeal| |s21bdf| |setStatus!| |writeInt8!| |tanIfCan|
- |nullary?| |\\/| |collectUnder| |child| |makeCos| |integrate|
- |palgRDE0| |Ei| |f02adf| |continuedFraction| |algebraicCoefficients?|
- |autoReduced?| |rightRecip| |beauzamyBound| |quadraticForm| |Lazard|
- |curve| |OMgetVariable| |s17akf| |pointColorDefault| |nonLinearPart|
- |realEigenvalues| |numberOfComponents| NOT |alternatingGroup|
- |stoseInvertibleSet| |paraboloidal| |cyclotomicFactorization| |yellow|
- |extractBottom!| |open| |internalZeroSetSplit| |newLine| |s19acf| OR
- |printStats!| |exprToXXP| |jvmUTF8ConstantTag| |airyBi| |augment|
- |eigenvectors| |parts| |rewriteIdealWithHeadRemainder|
- |partialNumerators| |qfactor| |getIdentifier| AND |true| |saturate|
- |lifting1| |concat!| |fixedPoints| |clearCache| |irreducibleFactor|
- |seed| |generalizedContinuumHypothesisAssumed| |less?| |square?|
- |jvmVolatile| |d01alf| |e02gaf| |numberOfComputedEntries| |bfKeys|
- |zag| |linGenPos| |leadingCoefficientRicDE| |integralCoordinates|
- |findCycle| |OMputInteger| |setMaxPoints3D|
- |lastSubResultantElseSplit| |leaf?| |operations| |alternating|
- |minimize| |getConstant| |definingEquations|
- |subResultantGcdEuclidean| |lieAdmissible?| |commaSeparate| |bsolve|
- |totalDegree| |reduction| |comment| |fglmIfCan| |removeSinSq|
- |exportedOperators| |trapezoidalo| |badNum| |tValues| |sparsityIF|
- |hypergeometric0F1| |powmod| |buildSyntax| |getCurve|
- |drawComplexVectorField| |cAtanh| |graphStates| |copies| |datalist|
- |semiIndiceSubResultantEuclidean| |Lazard2| |e02agf|
- |genericLeftMinimalPolynomial| |romberg| |shuffle| |title| |solve1|
- |numer| |forLoop| |set| |getMultiplicationTable| |rootNormalize|
- |write!| |makeUnit| |convert| |euclideanGroebner| |totalGroebner|
- |check| |denom| |rename| |ocf2ocdf| |s15adf| |groebnerFactorize|
- |f02agf| |invmultisect| |updatD| |lcm| |removeZero| |compiledFunction|
- |iteratedInitials| |viewpoint| |rightDiscriminant| |figureUnits|
- |OMgetInteger| |mappingMode| |e| |curryLeft| |stoseInvertible?reg|
- |hasHi| |reducedDiscriminant| |pi| |binary| * |deleteRoutine!|
- |linearAssociatedExp| |s14aaf| |cross| |checkForZero|
- |conditionsForIdempotents| |append| |henselFact| |infinity|
- |geometric| |inf| |OMputEndError| |constantRight| |viewPosDefault|
- |primPartElseUnitCanonical| |macroExpand| |mappingAst|
- |fractionFreeGauss!| |localIntegralBasis| |gcd|
- |transcendentalDecompose| |elementary| |sylvesterSequence|
- |rewriteIdealWithQuasiMonicGenerators| |quadratic?|
- |combineFeatureCompatibility| |false| |split!| |OMcloseConn| |nthr|
- |interpolate| |removeCoshSq| = |ratpart| |asechIfCan| |lowerBound|
- |lllp| |iicoth| |att2Result| |constantLeft| |kernel| |Gamma|
- |reduceByQuasiMonic| |setOrder| |OMgetEndBVar| |inRadical?| |rur|
- |useSingleFactorBound?| |specialTrigs| |ScanFloatIgnoreSpacesIfCan|
- |postfix| |dihedralGroup| |list| |quasiComponent| |more?| <
- |LyndonCoordinates| |dAndcExp| |f04arf| |compactFraction| |null|
- |draw| |noncommutativeJordanAlgebra?| |semiSubResultantGcdEuclidean1|
- |fortranLogical| |mapExpon| > |arity| |oddintegers| |currentEnv|
- |writeUInt8!| |sort| |not| |s18def| |showAll?| |hex| |nsqfree|
- |getRef| |delay| <= |sumSquares| |mkAnswer| |outputAsTex| |fortran|
- |and| |nthRoot| |mapSolve| |integerIfCan| |newSubProgram| |cCoth|
- |iicot| >= |clipPointsDefault| |symmetricGroup| |graphCurves| |random|
- |or| |mat| |numberOfChildren| |zeroOf| |readInt16!| |rightUnit|
- |critB| |gensym| |xor| |alphanumeric| |imagk| |makeObject|
- |physicalLength!| |unvectorise| |nthRootIfCan| |axes|
- |nextIrreduciblePoly| |twist| |generator| |roughBase?| |case|
- |jvmStatic| |setrest!| |leftReducedSystem| |zero| |quasiRegular|
- |coef| |simplifyPower| |rationalPoints| |subMatrix| + |readUInt32!|
- |LyndonWordsList1| |genericLeftNorm| |Zero| |recolor| |magnitude|
- |derivationCoordinates| |leftExtendedGcd| |readByte!| |bitLength|
- |composites| - |conjugates| |countRealRootsMultiple| |fixedPoint|
- |condition| |One| |reorder| |OMread| |And| |fortranCharacter|
- |stosePrepareSubResAlgo| |mapGen| / |basisOfRightAnnihilator|
- |basisOfCenter| |univariateSolve| |lfintegrate| |leftDivide| |region|
- |getlo| |subset?| |Or| |ip4Address| |cycleElt| |imagj| |iiatanh|
- |tower| |zero?| |gcdPolynomial| |pdct| |imaginary| |setImagSteps|
- |Not| |indices| |setTopPredicate| |traceMatrix| |match?|
- |factorSquareFreeByRecursion| |symmetricTensors| |lastSubResultant|
- |irreducible?| |hMonic| |OMputError| |getZechTable| |entries|
- |fortranLiteralLine| |lagrange| |hermiteH| |bottom!| |OMgetEndAtp|
- |list?| |taylorIfCan| |getPickedPoints| |mapUnivariate|
- |antisymmetricTensors| |primitive?| |pmintegrate| |complexElementary|
- |intersect| |signature| |d01bbf| |mainForm|
- |selectIntegrationRoutines| |rootPoly| |cyclePartition| |elt| |s21bcf|
- |setelt| |anticoord| |tRange| |characteristicSet| |c06gsf| |f04axf|
- |support| |principalIdeal| |ramified?| |e01bef|
- |monicRightFactorIfCan| |pile| |zeroSetSplit| |cCosh| |setnext!|
- |matrix| |c05pbf| |showArrayValues| |typeForm|
- |tryFunctionalDecomposition| |cSech| |script| |lexTriangular| |copy|
- |odd?| |endOfFile?| |option?| |iisinh| |printCode| |complexNumeric|
- |getDatabase| |incr| |atanhIfCan| |shiftRight|
- |integralBasisAtInfinity| |Hausdorff| |rangeIsFinite| |modularGcd|
- |module| |inHallBasis?| |pastel| |hi| |resultantReduitEuclidean|
- |returns| |duplicates?| |autoCoerce| |genericLeftDiscriminant|
- |realZeros| |exQuo| |radPoly| |increment| |kernels|
- |commutativeEquality| |unitVector| |lexico| |tex| |notelem|
- |OMreadStr| |failed?| |cycle| |wholePart| |normFactors| |rischDE|
- |acscIfCan| |operator| |testModulus| |presuper| |exponent|
- |pseudoRemainder| |extendedSubResultantGcd| |mainMonomial|
- |subtractIfCan| |mkcomm| |tanQ| |univariate| |push!|
- |stoseSquareFreePart| |realSolve| |linearAssociatedLog| |logIfCan|
- |f02xef| |indicialEquationAtInfinity| |mapCoef| |startTableInvSet!|
- |singularitiesOf| |divide| |viewSizeDefault| |drawStyle| |charpol|
- |LowTriBddDenomInv| |lazyPquo| |listYoungTableaus| |jvmFinal|
- |laplace| |asinhIfCan| |elaborate| |e02daf| |principalAncestors|
- |completeSmith| |positive?| |pseudoDivide| |overlap| |power!|
- |trace2PowMod| |divisorCascade| |removeRedundantFactors| |truncate|
- |nthExpon| |factor| |algDsolve| |compile| |totalDifferential|
- |extractProperty| |coerceL| |commonDenominator|
- |createMultiplicationMatrix| |generic| |s21bbf| |invertible?|
- |optpair| |sqrt| |rowEchelonLocal| |useEisensteinCriterion?| |e02baf|
- |functorData| |sts2stst| |subResultantChain| |rightZero| |makeResult|
- |cLog| |real| |f02abf| |cAtan| |headReduce| |size?| |lazyPrem|
- |cosIfCan| |sorted?| |solveLinear| |imag| |zoom| |nthFractionalTerm|
- |bfEntry| |checkRur| |shanksDiscLogAlgorithm| |s17dlf|
- |quasiMonicPolynomials| |directProduct| |chiSquare1| |mainKernel|
- |hasSolution?| |linSolve| |wronskianMatrix| |leftZero| |besselJ|
- |read!| |leftDiscriminant| |determinant| |headRemainder| |frst|
- |symmetric?| |paren| |possiblyNewVariety?| |selectsecond| |fractRadix|
- |tree| |doublyTransitive?| |generalSqFr| |getBadValues|
- |basisOfCommutingElements| |definingInequation| |associatedSystem|
- |s18acf| |realElementary| |brace| |generate| |green| |swap!|
- |initializeGroupForWordProblem| |UP2ifCan| |radicalEigenvectors|
- |acschIfCan| |internal?| |mathieu23| |idealSimplify| |destruct|
- |terms| |decomposeFunc| |fixedDivisor| |deepCopy| |isExpt|
- |argumentList!| |SturmHabicht| |permutation| |isImplies| |innerint|
- |solveInField| |littleEndian| |incrementBy| |ipow| |e01bff|
- |insertTop!| |trueEqual| |isAbsolutelyIrreducible?| |normal01|
- |minus!| |surface| |c06fuf| |expand| |makeop| |drawCurves| |e02akf|
- |parametric?| |getCode| |formfeed| |refine| |lazyResidueClass|
- |filterWhile| |ODESolve| |explogs2trigs| |aLinear| |vedf2vef|
- |sec2cos| |OMReadError?| |ratDenom| |nil| |flatten| |cothIfCan|
- |monomial| |particularSolution| |filterUntil| |invertibleElseSplit?|
- |sinhIfCan| |colorDef| |setAttributeButtonStep| |torsionIfCan| |iicsc|
- |idealiserMatrix| |limitedIntegrate| |c06ekf| |multivariate| |select!|
- |select| |edf2ef| |height| |pair?| |complexLimit| |d03edf|
- |cylindrical| |trailingCoefficient| |insert| |superscript| |s17acf|
- |variables| |setIntersection| |bitCoef| |cos2sec| |s17aff| |OMgetApp|
- |matrixDimensions| |approximate| |startPolynomial| |conditionP|
- |supDimElseRittWu?| |numberOfComposites| |initial|
- |singularAtInfinity?| |unitCanonical| |df2fi| |minimumExponent|
- |cAsinh| |complex| |key?| |exptMod| |internalAugment|
- |extendedIntegrate| |antiAssociative?| |expandLog| |OMconnInDevice|
- |coordinates| |stronglyReduced?| |linearlyDependent?| |rroot|
- |signatureAst| |segment| |midpoint| |stack| |stop| |d02ejf| |pToDmp|
- |extractPoint| |leftFactorIfCan| |shellSort| |keys|
- |algebraicDecompose| |useEisensteinCriterion| |multMonom| |gderiv|
- |qelt| |exprToGenUPS| |subscript| |iibinom| |invmod| |complexRoots|
- |fullPartialFraction| |normalizedDivide| |mainVariable| |taylor|
- |operation| |mapUnivariateIfCan| |qsetelt| |associatorDependence|
- |lookup| |extractTop!| |tableForDiscreteLogarithm| |leadingSupport|
- |iisec| |double| |round| |setEpilogue!| |laurent| |companionBlocks|
- |xRange| |s17agf| |aQuartic| |jacobi| |denominator| |gcdcofactprim|
- |clip| |shufflein| |outerProduct| |puiseux| |eyeDistance| |var2Steps|
- |yRange| |findConstructor| |outputList| |rename!| |zeroDim?| |tab|
- |hasoln| |dom| |integralMatrix| |sizeLess?| |sinIfCan|
- |encodingDirectory| |OMgetEndBind| |viewZoomDefault| |df2st|
- |irreducibleFactors| |toroidal| |obj| |lfinfieldint| |inv|
- |antisymmetric?| |lazyPseudoDivide| |cardinality|
- |expenseOfEvaluationIF| |horizConcat| |separateFactors|
- |numFunEvals3D| |makeRecord| |wordsForStrongGenerators| |findBinding|
- |increasePrecision| |bivariatePolynomials| |ground?| |adaptive?|
- |factorials| |permutationRepresentation| |tableau| |divideExponents|
- |measure| |mpsode| |factorList| |optimize| |minPoly| |precision| |op|
- |currentScope| |ground| |legendreP| |rquo| |parametersOf| |polyPart|
- |multiple?| |sdf2lst| |numericalOptimization| |coord|
- |generalPosition| |connect| |leadingMonomial| |node?| |optAttributes|
- |setEmpty!| |characteristicSerie| |prod| |setAdaptive|
- |leviCivitaSymbol| |transform| |corrPoly| |declare!| |evaluateInverse|
- |leadingCoefficient| |weierstrass| |directory|
- |integralMatrixAtInfinity| |d02kef| |getExplanations| |birth|
- |makeSin| |interval| |iiacsc| |coerceImages| |primitiveMonomials|
- |removeRedundantFactorsInPols| |tail| |leftOne| |OMunhandledSymbol|
- |prepareSubResAlgo| |elRow2!| |compdegd| |startStats!| |coth2trigh|
- |mathieu22| |plot| |trim| |reductum| |rangePascalTriangle| |cartesian|
- |dioSolve| |binomThmExpt| |external?| |f01qcf| |norm| |bat1| |ceiling|
- |besselY| |symmetricRemainder| |simpson| |indicialEquation|
- |matrixGcd| |monicDecomposeIfCan| |listOfLists| |setProperties| |kind|
- |radicalEigenvector| |reindex| |lhs| |setPoly| |aromberg| |subSet|
- |sort!| |idealiser| |sqfree| |inverseIntegralMatrix| |exactQuotient!|
- |multisect| |rhs| |tubeRadiusDefault| |unrankImproperPartitions0|
- |factorOfDegree| |LazardQuotient2| |cap| |dequeue| |qroot|
- |distribute| |leftAlternative?| |linearForm| |doubleRank|
- |contractSolve| |removeConstantTerm| |nextsubResultant2| |ricDsolve|
- |latex| |outputFixed| |width| |weighted| |leastPower| |connectTo|
- |trunc| |sumOfDivisors| |whatInfinity| |rightTrace| |output|
- |pointLists| |chiSquare| |SturmHabichtMultiple| |unit?|
- |indicialEquations| |selectOptimizationRoutines| |rightExactQuotient|
- |repeating?| |test| |zeroSquareMatrix| |fortranCompilerName|
- |stirling2| |OMUnknownSymbol?| |nand| |rk4a| |createRandomElement|
- |d03faf| |linear?| |OMputBVar| |prime| |lepol| |erf| |SFunction|
- |mainPrimitivePart| |rightGcd| |squareFree| FG2F |myDegree| |any|
- |csch2sinh| |oddlambert| |roughUnitIdeal?| |void| |iidsum| |stFunc1|
- |lSpaceBasis| |mainDefiningPolynomial| |perfectSqrt| |polygon?|
- |flagFactor| |hasTopPredicate?| |cRationalPower|
- |constantToUnaryFunction| |repeating|
- |dimensionOfIrreducibleRepresentation| |randnum| |message|
- |upperCase!| |slex| |asecIfCan| |dilog| |radicalOfLeftTraceForm|
- |deref| |regularRepresentation| |palgintegrate| |weights| |OMputAtp|
- |root| |coerceListOfPairs| |leftTrim| |hash| |bag| |sin| |exprToUPS|
- |lambert| |tracePowMod| |constDsolve| |subresultantSequence| |mapUp!|
- |nullSpace| |count| |untab| |cAcosh| |cos| |thenBranch| |coefChoose|
- |iiGamma| |OMmakeConn| |flexibleArray| |constantOperator| |stirling1|
- |bit?| |lp| |FormatArabic| |tan| |localReal?| |frobenius| |setelt!|
- |OMgetString| |firstSubsetGray|
- |removeRoughlyRedundantFactorsInContents| |sin?| |pushdterm| |cot|
- |coordinate| |viewPhiDefault| |s15aef| |maxPoints3D| |hspace|
- |bivariate?| |selectAndPolynomials| |acothIfCan| |aQuadratic|
- |OMputEndAttr| |basisOfLeftNucleus| |sec| |style| |f04qaf|
- |eigenMatrix| |nextLatticePermutation| |char| |primextendedint|
- |c06fqf| |resultantnaif| |f01ref| |f04mcf| |graeffe| |setClipValue|
- |leastAffineMultiple| |csc| |f02aef| |sechIfCan| |times|
- |updateStatus!| |genericRightTraceForm| |s01eaf| |leastMonomial|
- |child?| |prime?| |mr| |asin| |fillPascalTriangle| |numberOfVariables|
- |functionIsFracPolynomial?| |prologue| |f01qdf| |rootKerSimp| |s13adf|
- |mapmult| |zeroDimPrime?| |jvmFloatConstantTag| |acos| |c05nbf|
- |insertMatch| |top!| |normalElement| |returnTypeOf| |deleteProperty!|
- |doubleComplex?| |complex?| |overlabel| |rightOne| |initials| |atan|
- |cyclotomicDecomposition| |open?| |setColumn!| |nextPartition| |float|
- |enqueue!| |leftPower| |nextPrime| |scan| |contours| |generalLambert|
- |leadingTerm| |acot| |quasiMonic?| |atrapezoidal| |printingInfo?|
- |monom| |getButtonValue| |changeNameToObjf| |gcdprim| |prefix|
- |semiLastSubResultantEuclidean| |replaceKthElement| |sequences|
- |delta| |asec| |mainVariable?| |mainCoefficients| |setFieldInfo|
- |omError| |OMgetFloat| |exprHasLogarithmicWeights| |quotedOperators|
- |iiasin| |padicallyExpand| |balancedFactorisation| |isList| |acsc|
- |options| |aCubic| |symFunc| |knownInfBasis| |radicalSimplify|
- |perfectSquare?| |rootRadius| |constructor| |outputArgs| LODO2FUN
- |e02ddf| |adjoint| |has?| |sinh| |exponents| |simpsono| |common|
- |fortranInteger| |absolutelyIrreducible?| |s17ajf| |leftNorm|
- |chebyshevT| |rightLcm| |isAtom| |fortranLinkerArgs| |cosh| |string|
- |cyclicSubmodule| |sturmVariationsOf| |graphs| |move| |bringDown|
- |iisqrt2| |completeHensel| |youngGroup| |length| |moebius|
- |preprocess| |createLowComplexityNormalBasis| |tanh| |normalize|
- |integralLastSubResultant| |fill!| |axesColorDefault|
- |genericLeftTrace| |conjug| |components|
- |removeRoughlyRedundantFactorsInPols| |scripts| |jvmLongConstantTag|
- |nullity| |BasicMethod| |reverse| |coth| |rk4| |prefixRagits|
- |simplifyLog| |algebraic?| |physicalLength| |powers| |pomopo!|
- |removeSuperfluousCases| |sizeMultiplication| |numericalIntegration|
- |sech| |rightFactorCandidate| |lexGroebner| |quadraticNorm|
- |monomial?| |modularFactor| GE |binaryTree| |red| |leftQuotient|
- |subPolSet?| |lambda| |jvmSuper| |csch| |c06eaf| |imagK|
- |euclideanSize| |fmecg| |cycleLength| GT |leftTrace| |component|
- |lfextendedint| |eulerE| |checkPrecision| |splitDenominator| |asinh|
- |setButtonValue| |showScalarValues| |swapColumns!| |Frobenius|
- |linearPart| LE |finite?| |categoryMode| |stoseInvertible?sqfreg|
- |dflist| |iprint| |acosh| |fibonacci| |clearTable!| |byteBuffer|
- |critM| |lieAlgebra?| LT |unravel| |relerror| |implies| |cCsch|
- |lazyGintegrate| |atanh| |jvmTransient| |leftGcd| |convergents|
- |setOfMinN| |internalDecompose| |f02bjf| |jvmProtected| |po|
- |duplicates| |sample| |acoth| |iiasec| |real?|
- |showIntensityFunctions| |readLineIfCan!| |internalIntegrate0| |Is|
- |OMlistCDs| |coercePreimagesImages| |intPatternMatch|
- |unitsColorDefault| |asech| |c06gbf| |bumptab| |distdfact|
- |denomRicDE| |OMencodingUnknown| |stopTable!| |relationsIdeal|
- |ridHack1| |stopMusserTrials| |ParCond| |redPol| |monomRDE| |s20acf|
- |radicalRoots| |s19aaf| |inputBinaryFile| |multiEuclidean| |d03eef|
- |univcase| |squareMatrix| |multiple| |isobaric?| |xn|
- |integralRepresents| |doubleDisc| |integer?| |identification|
- |genericLeftTraceForm| |elements| |reflect| |s17adf| |applyQuote|
- |problemPoints| |extensionDegree| |cAsech|
- |solveLinearPolynomialEquationByFractions| |explicitlyEmpty?|
- |complexForm| |invertibleSet| |infLex?| |OMconnOutDevice| |null?|
- |curry| |leftRecip| |divisor| |changeThreshhold| |transpose| |testDim|
- |setleft!| |mapMatrixIfCan| |polarCoordinates| |e01sff|
- |makeFloatFunction| |selectfirst| |nextNormalPoly| |replace| |isAnd|
- |innerSolve1| |setPosition| |selectNonFiniteRoutines| |integerBound|
- |universe| |ruleset| |hyperelliptic| |setvalue!|
- |jvmDoubleConstantTag| |constantCoefficientRicDE| |constantOpIfCan|
- |OMputAttr| |leftScalarTimes!| |interReduce| |expextendedint|
- |legendre| |rotatey| |e04ycf| |pade| |changeName| |divisors|
- |signAround| |matrixConcat3D| |semiResultantEuclideannaif|
- |resultantEuclideannaif| |cfirst| |plusInfinity| |hasPredicate?|
- |oblateSpheroidal| |iiasinh| |head| |box| |yCoordinates|
- |symmetricDifference| |complementaryBasis| |normalise| |linkToFortran|
- |maxColIndex| |ord| |rootDirectory| |graphImage| |suchThat|
- |approxNthRoot| |f01brf| |upDateBranches| |laurentRep| |clipSurface|
- |monicLeftDivide| |complexNumericIfCan| |tan2cot| |eigenvalues|
- |presub| |OMputEndApp| |tanNa| |mathieu11| |showFortranOutputStack|
- |minrank| |primitivePart!| |id| |ode1| |getMatch| |redpps| |number?|
- |c02agf| |f02ajf| |fractRagits| |primes| |scale| |complexIntegrate|
- |function| |e02dff| |lo| |brillhartIrreducible?| |minPol|
- |repeatUntilLoop| |musserTrials| |seriesToOutputForm| |setAdaptive3D|
- |neglist| |quatern| |Beta| |OMserve| |step| |multiset| |integralBasis|
- |ldf2vmf| |s17dgf| |genericRightMinimalPolynomial| |assign|
- |UnVectorise| |e04jaf| |makeVariable| |jvmStrict| |cons| |singular?|
- |insertionSort!| |safetyMargin| |dimensions| |curveColorPalette|
- |conjugate| |positiveSolve| |weight| |log10| |merge| |goodPoint|
- |jvmStringConstantTag| |supRittWu?| |swap| |f04faf| |elliptic?|
- |interactiveEnv| |OMsend| |bitand| |subspace| |prepareDecompose|
- |ravel| |contract| |e04ucf| |generalInfiniteProduct| |numberOfHues|
- |freeOf?| |weakBiRank| |createMultiplicationTable|
- |selectSumOfSquaresRoutines| |genericRightDiscriminant| |bitior|
- |laguerre| |parents| |ptree| |localAbs| |expIfCan| |bytes| |reshape|
- |realRoots| |transcendenceDegree| |bitTruth| |iCompose| |e02def|
- |squareTop| |dim| |indiceSubResultant| |arguments| |closeComponent|
- |removeDuplicates!| |selectPolynomials| |reopen!| |removeSquaresIfCan|
- |someBasis| |cyclicEqual?| |Nul| |perfectNthRoot| |changeBase|
- |source| |noKaratsuba| |leftTraceMatrix| |compBound|
- |rightTraceMatrix| |mainSquareFreePart| |li| |decreasePrecision|
- |readInt32!| |ref| |closed?| |iisqrt3| |s17ahf|
- |leftRegularRepresentation| |chebyshevU| |expint| |topPredicate|
- |generalizedEigenvectors| |OMsetEncoding| |initTable!| |B1solve|
- |makeprod| |normalizedAssociate| |resize| |getGoodPrime|
- |resultantEuclidean| |zeroMatrix| |consnewpol| |btwFact| |sPol|
- |leftMult| |functionIsContinuousAtEndPoints| |tanhIfCan| |limitPlus|
- |OMgetEndAttr| |target| |OMencodingXML| |tan2trig| |e02bbf| |rarrow|
- |univariatePolynomial| |PDESolve| |setMinPoints3D| |retract|
- |OMconnectTCP| |mainValue| |shade| |deriv| |e01daf| |rspace|
- |newReduc| |argument| |infinityNorm| |jvmSynchronized| |cCos|
- |minIndex| |cosh2sech| |f01rdf| |rightRemainder| |currentSubProgram|
- |expressIdealMember| |mindeg| |hostPlatform| |f04maf| |imagI|
- |certainlySubVariety?| |subCase?| |linearDependence| |readable?|
- |index?| |listexp| |elliptic| |decompose|
- |semiResultantReduitEuclidean| |badValues| |extractIndex| |dark| |sh|
- |binding| |s18aef| |recoverAfterFail| |SturmHabichtCoefficients|
- |position| |sumOfSquares| |numberOfFactors| |csubst| |fullDisplay|
- |cAcsc| |isOp| |front| |makeCrit| |eq| |distFact| |reverseLex|
- |iiasech| |primitiveElement| |putProperty| |diff| |UpTriBddDenomInv|
- |bombieriNorm| |maxrank| |iter| |halfExtendedResultant2| |zRange|
- |getMeasure| |cot2trig| |intermediateResultsIF| |linearMatrix| |pol|
- |hostByteOrder| |var1StepsDefault| |iExquo| |extractClosed| |status|
- |map!| |table| |rightRank| |domainTemplate| |build| |mainMonomials|
- |hue| |viewWriteAvailable| |represents| |just|
- |lazyIrreducibleFactors| |iidprod| |genus| |exteriorDifferential|
- |singRicDE| |qsetelt!| |new| |factorGroebnerBasis| Y |infRittWu?|
- |stFuncN| |explimitedint| |maxIndex| |numberOfImproperPartitions|
- |removeZeroes| |collectUpper| |computeCycleEntry| |normDeriv2|
- |numberOfCycles| |decimal| |intChoose| |sumOfKthPowerDivisors|
- |wordInStrongGenerators| |capacity| |overbar| |palgint| |OMbindTCP|
- |wordInGenerators| |exp1| |s19adf| |lazyPseudoRemainder|
- |sturmSequence| |computeBasis| |univariate?| |second|
- |OMencodingBinary| |nthCoef| |exponential| |zeroVector| |roman|
- |ffactor| |vconcat| |prinb| |dequeue!| |third|
- |jvmNameAndTypeConstantTag| |outputSpacing| |virtualDegree|
- |rewriteSetByReducingWithParticularGenerators| |acoshIfCan|
- |algebraicOf| |viewWriteDefault| |OMclose| |acsch| |df2mf| |cAcoth|
- |recur| |OMgetBVar| |alphanumeric?| |stiffnessAndStabilityOfODEIF|
- |stoseInvertibleSetreg| |listLoops| |lquo| |groebner?|
- |primlimitedint| |value| |backOldPos| |max| |splitConstant|
- |pushucoef| |errorKind| |setPrologue!| |rightAlternative?| |d01akf|
- UP2UTS |properties| |inverseLaplace| |lazyPseudoQuotient| |dmpToHdmp|
- |mapdiv| |formula| |rightQuotient| |block| |column|
- |setScreenResolution| |extractIfCan| |translate| |safeFloor|
- |typeList| |leftRank| |complexNormalize| |rootBound| |failed| |left|
- |modifyPoint| |constant?| |slash| |internalSubQuasiComponent?|
- |oneDimensionalArray| |socf2socdf| |toseSquareFreePart| |youngDiagram|
- |maxdeg| |right| |inputOutputBinaryFile| |over| |cSinh| |atanIfCan|
- |ignore?| |integral| |symbolIfCan| |cyclicCopy| |mathieu12| |isNot|
- |setVariableOrder| |coerceP| |index| |f02awf| |showTheIFTable| |nrows|
- |trigs| |algSplitSimple| |log2| |PollardSmallFactor|
- |basisOfRightNucloid| |pToHdmp| |upperCase?| |regime| |diagonal|
- |complement| |ncols| |inverseColeman| |critMonD1| |OMgetError| |kmax|
- |digamma| |error| |submod| |pair| |createThreeSpace| |Vectorise|
- |OMputEndBVar| |name| |result| |inconsistent?| |retractIfCan|
- |antiCommutative?| |leftCharacteristicPolynomial| |cCot| |opeval|
- |backspace| |showTheRoutinesTable| |indiceSubResultantEuclidean|
- |thetaCoord| |body| |cPower| |countRealRoots| |generators| |init|
- |unexpand| |nextPrimitiveNormalPoly| |algintegrate| |irDef| |bumprow|
- |collect| |getProperty| |principal?| |epilogue| |interpret|
- |radicalEigenvalues| |mathieu24| |simplifyExp| |f02bbf|
- |toseInvertibleSet| |callForm?| |lprop| |tryFunctionalDecomposition?|
- |solveLinearPolynomialEquationByRecursion| |torsion?| |polCase|
- |OMputString| |cAsec| |nextsousResultant2| |Ci| |upperBound|
- |stoseLastSubResultant| |cycleEntry| |before?| |sup|
- |generalTwoFactor| |constantIfCan| |rewriteSetWithReduction|
- |separant| |vark| |stripCommentsAndBlanks| |mirror| |alphabetic?|
- |partialQuotients| |cot2tan| |yCoord| |Si| |point?| |polynomialZeros|
- |leftLcm| |functionIsOscillatory| |range| |qinterval| |updatF|
- |negative?| |normalizeAtInfinity| |linear| |ode| |hexDigit| |bipolar|
- |dihedral| |solveid| |trace| |f2st| |algebraicVariables|
- |variationOfParameters| |polygamma| |upperCase| |localUnquote|
- |members| |symbol| |rightMult| |evenlambert| |bezoutDiscriminant|
- |setFormula!| |innerSolve| |pushuconst| |f01qef| |eval|
- |setDifference| |hdmpToDmp| |bigEndian| |factorFraction| |polynomial|
- |reducedQPowers| |middle| |digits| |factorSquareFreePolynomial|
- |nextSubsetGray| |setref| |isMult| |expt| |putProperties| |port|
- |firstDenom| |groebSolve| |squareFreeFactors| |carriageReturn| |order|
- |ellipticCylindrical| |lazy?| |scalarTypeOf| |reducedSystem|
- |solveRetract| |decrease| |edf2efi| |search| |An| |e02bcf| |minordet|
- |writable?| |trapezoidal| |iisin| |deepestTail| |besselI| |critMTonD1|
- |jvmInterface| |closedCurve?| |numberOfOperations| |split|
- |comparison| |monomials| |noValueMode| |retractable?| |cTan| |t|
- |OMUnknownCD?| |qualifier| |createNormalElement| |rst| |dn|
- |characteristic| |verticalTab| |copyInto!| |triangulate| |wholeRagits|
- |makeYoungTableau| |insertRoot!| |insertBottom!| |purelyAlgebraic?|
- |imports| |bandedJacobian| |complexExpand| |unknown| |scopes| |ranges|
- |bernoulliB| |tubePointsDefault| |cSin| F |OMopenString|
- |currentCategoryFrame| |zeroDimPrimary?| |changeMeasure| |voidMode|
- |patternMatchTimes| |s17dhf| |gcdPrimitive| |midpoints| |meatAxe|
- |isQuotient| |cubic| |roughBasicSet| |zCoord| |makeGraphImage|
- |lowerCase!| |diagonalMatrix| |argscript| |pleskenSplit| |algint|
- |reciprocalPolynomial| |dot| |s17def| |iisech| |push| |flexible?|
- |primeFactor| |superHeight| |reduceBasisAtInfinity| |lyndon|
- |shallowExpand| |mightHaveRoots| |spherical| |makeFR| |logGamma|
- |bernoulli| |whileLoop| |pole?| |OMgetSymbol| |quotientByP|
- |setleaves!| |curve?| |mesh| |multiEuclideanTree| |iiacot| |cond| |cn|
- |e01sbf| |associates?| |cExp| |d01fcf| |subQuasiComponent?|
- |colorFunction| |symmetricSquare| |resetNew| |systemCommand| |tab1|
- |appendPoint| |newTypeLists| |printTypes| |userOrdered?| |parameters|
- |dmp2rfi| |cyclic?| |extractSplittingLeaf| |RemainderList| |iiacos| **
- |orbits| |rule| F2FG |f01bsf| |extendedint| |boundOfCauchy| |ksec|
- |setScreenResolution3D| |pow| |blankSeparate| |monomialIntegrate|
- |normal| |iflist2Result| |blue| |typeLists| |componentUpperBound|
- |stoseInternalLastSubResultant| |bipolarCylindrical|
- |purelyAlgebraicLeadingMonomial?| |RittWuCompare| |initiallyReduce|
- |unparse| |nothing| |s18dcf| |vertConcat| |monicDivide|
- |clipWithRanges| |lazyPremWithDefault| |simpleBounds?| |content|
- |e02adf| |purelyTranscendental?| |irCtor| |separateDegrees|
- |acosIfCan| |createPrimitiveNormalPoly| |tanh2coth| |subTriSet?|
- |integers| |normal?| |intensity| |f2df| |s17dcf|
- |getSyntaxFormsFromFile| |createNormalPrimitivePoly| |categories|
- |alternative?| |numeric| |adaptive| |pushdown|
- |inverseIntegralMatrixAtInfinity| |subResultantGcd| |elseBranch|
- |enumerate| |outlineRender| |expenseOfEvaluation| |listOfMonoms|
- |critpOrder| |radical| |d01gbf| |dominantTerm| |d02gbf| |karatsuba|
- |routines| |maxrow| |identitySquareMatrix| |addMatchRestricted|
- |normalized?| |jvmNative| |laguerreL| |startTable!| |rightDivide|
- |changeVar| |ListOfTerms| |part?| |llprop| |gethi|
- |selectOrPolynomials| |evenInfiniteProduct| |numberOfPrimitivePoly|
- |explicitEntries?| |uncouplingMatrices| |pop!| |s13acf| |diagonals|
- |rightNorm| |makeSeries| |substring?| |nonSingularModel| |cAcos|
- |leftExactQuotient| |diagonalProduct| |rootSimp| |moduloP| |factorset|
- |traverse| |OMgetAttr| |medialSet| |numberOfNormalPoly| |sinh2csch|
- |linearPolynomials| |orthonormalBasis| |basisOfLeftNucloid|
- |probablyZeroDim?| |e02bdf| |is?| |binarySearchTree| |perspective|
- |suffix?| |isTimes| |merge!| |newline| |discriminant| |symbol?|
- |recip| |low| |clearTheSymbolTable| |ParCondList| |string?|
- |partialDenominators| |viewport2D| |completeEval| |nonQsign|
- |simplify| |leader| |heap| |delete!| |scaleRoots| |schema|
- |roughEqualIdeals?| |prefix?| |primaryDecomp| |cAcsch|
- |numberOfDivisors| |trigs2explogs| |csc2sin| |atom?| |GospersMethod|
- |constantKernel| |c06ebf| |triangSolve| |deepestInitial|
- |defineProperty| |maximumExponent| |OMgetObject| |positiveRemainder|
- |rotate| |removeRoughlyRedundantFactorsInPol| |hermite| |extension|
- |addBadValue| |infix| |orbit| |clearFortranOutputStack| |writeLine!|
- |curveColor| |anfactor| |lintgcd| |unmakeSUP| |assert| |writeBytes!|
- |bracket| |e02dcf| |mainVariables| |padecf| |redmat| |limitedint|
- |HermiteIntegrate| |jordanAlgebra?| |dmpToP| |HenselLift| |putGraph|
- |extract!| |resetBadValues| |degree| |category|
- |unprotectedRemoveRedundantFactors| |enterPointData| |bindings|
- |droot| |shrinkable| |readUInt16!| |associator| |solid| |sum| |domain|
- |normalForm| |normalizeIfCan| |multiplyExponents| |iroot| |ideal|
- |fortranDouble| |cyclicParents| |complexEigenvectors| |remainder|
- |infix?| |package| |makeEq| |setMaxPoints| |printInfo!| |usingTable?|
- |unit| |mdeg| |computeCycleLength| |commutator| |jacobiIdentity?|
- |host| |mask| |iterationVar| |pushup| |product| |hclf| |gramschmidt|
- |lyndonIfCan| |e02bef| |OMputObject| |unrankImproperPartitions1|
- |iiacoth| |rationalIfCan| |outputFloating| |setProperty| |mkIntegral|
- |lflimitedint| |coerce| |extendIfCan| |varList| |multinomial|
- |nullary| |hconcat| |symbolTable| |ran| |cTanh| |removeDuplicates|
- |setTex!| |central?| |associative?| |lift| |construct|
- |symmetricPower| |definingPolynomial| |d01ajf| |pseudoQuotient|
- |linearlyDependentOverZ?| |sylvesterMatrix| |trivialIdeal?|
- |jvmAbstract| |reduce| |pointData| |getOrder| |halfExtendedResultant1|
- |coshIfCan| |degreePartition| |pushFortranOutputStack| |palgRDE|
- |semiResultantEuclidean1| |areEquivalent?| |fractionPart|
- |doubleResultant| |firstNumer| |tensorProduct|
- |irreducibleRepresentation| |stoseInvertible?| |infiniteProduct|
- |categoryFrame| |popFortranOutputStack| |goodnessOfFit| |cyclicGroup|
- |qqq| |branchPointAtInfinity?| |c06fpf| |pureLex| |exists?| |reset|
- |LagrangeInterpolation| |firstUncouplingMatrix| |outputAsFortran|
- |asimpson| |imagJ| |subst| |cSec| |totolex| |pdf2ef| |gcdcofact|
- |polyRDE| |nextSublist| |rotatez| |readLine!| |kroneckerDelta|
- |irForm| |headAst| |abelianGroup| |mix| |outputGeneral|
- |infieldIntegrate| |splitNodeOf!| |f01maf| |write| |airyAi| |say|
- |mergeDifference| |OMputBind| |rightTrim| |supersub| |modifyPointData|
- |isPlus| |OMgetEndObject| |differentialVariables| |inGroundField?|
- |basisOfCentroid| |save| |alphabetic| |unknownEndian| |inc| |exp|
- |float?| |univariatePolynomialsGcds| |rational| |iifact| |rk4f|
- |extendedEuclidean| |randomLC| |expPot| |LyndonBasis| |arg1| |setRow!|
- |divideIfCan| |dimension| |objects| |validExponential| |setStatus|
- |permutations| |lazyEvaluate| |arg2| RF2UTS |f01rcf| |makingStats?|
- |eof?| |base| |iiacosh| |plus| |antiCommutator| |factor1|
- |systemSizeIF| |complexSolve| |setLabelValue| |permanent| |graphState|
- |cycleRagits| |factorsOfDegree| |e02ajf| |conditions| |cache|
- |eisensteinIrreducible?| |bubbleSort!| |iiacsch| |modularGcdPrimitive|
- |intcompBasis| |charthRoot| |strongGenerators| |match| |inverse|
- |iiexp| |readBytes!| |useSingleFactorBound| |shift| |union|
- |parabolic| |addPoint| |center| |sign| |find| |screenResolution3D|
- |call| |nextPrimitivePoly| |palginfieldint| |critBonD| |factors|
- |ratDsolve| |messagePrint| |f02wef| |d02raf| |selectODEIVPRoutines|
- |byte| |internalIntegrate| |generalizedInverse| |hdmpToP|
- |representationType| |primPartElseUnitCanonical!| |infinite?|
- |selectPDERoutines| |ef2edf| |rightFactorIfCan| |setRealSteps|
- |dualSignature| |OMputApp| |lfextlimint| |raisePolynomial|
- |isConnected?| |isPower| |noLinearFactor?| |twoFactor| |maxPoints|
- |cscIfCan| |incrementKthElement| |binaryTournament| |readUInt8!|
- |scanOneDimSubspaces| |halfExtendedSubResultantGcd2| |xCoord|
- |viewport3D| |f02aaf| |size| |generalizedContinuumHypothesisAssumed?|
- |powern| |putColorInfo| |reverse!| |normInvertible?| |shiftLeft|
- |seriesSolve| |rowEchLocal| |s17aef| |variable?| |fortranReal|
- |completeEchelonBasis| |car| |subNode?| |edf2fi| |parent|
- |createPrimitivePoly| |stFunc2| |edf2df| |jokerMode| |e01bhf| |reify|
- |iomode| |setMinPoints| |discreteLog| |tube| |selectFiniteRoutines|
- |rootOf| |map| |previous| |topFortranOutputStack| |zeroDimensional?|
- |semiDegreeSubResultantEuclidean| |leftFactor| |any?| |mesh?| |f02axf|
- |rank| |iitan| |moebiusMu| |rootsOf| |f04atf| |dimensionsOf| |int|
- |lfunc| |palglimint| |semicolonSeparate| |getOperands|
- |ramifiedAtInfinity?| |OMputFloat| |c06gcf| |lighting| |schwerpunkt|
- |belong?| |sinhcosh| |fixedPointExquo| |branchPoint?| |c06frf| |iiabs|
- |difference| |toseLastSubResultant| |inspect| |nthFactor| |compound?|
- |integralAtInfinity?| |homogeneous?| |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| |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|
+ |genericLeftMinimalPolynomial| |expextendedint| |subQuasiComponent?|
+ |constantOperator| |pack!| |virtualDegree| |laplace| |outputGeneral|
+ |evaluate| |elColumn2!| |triangularSystems| |signature| |romberg|
+ |legendre| |colorFunction| |stirling1| |toseInvertible?| |setelt|
+ |rewriteSetByReducingWithParticularGenerators| |asinhIfCan|
+ |rootProduct| |infieldIntegrate| |listRepresentation| |compose|
+ |rotatey| |shuffle| |symmetricSquare| |bit?| |isOr| |elaborate|
+ |acoshIfCan| |splitNodeOf!| |hitherPlane| |limit| |solve1| |e04ycf|
+ |resetNew| |FormatArabic| |copy| |squareFreePart| |e02daf|
+ |algebraicOf| |critT| |f01maf| |setprevious!| |forLoop|
+ |complexNumeric| |pade| |tab1| |incr| |localReal?|
+ |rightRankPolynomial| |principalAncestors| |viewWriteDefault| |airyAi|
+ |abs| |makeViewport2D| |changeName| |getMultiplicationTable|
+ |appendPoint| |hi| |modTree| |frobenius| |autoCoerce| |OMclose|
+ |completeSmith| |mergeDifference| |whitePoint| |rootNormalize| |empty|
+ |kernels| |divisors| |newTypeLists| |s21baf| |setelt!| |plotPolar|
+ |df2mf| |positive?| |ScanArabic| |OMputBind| |primextintfrac| |write!|
+ |rationalFunction| |signAround| |operator| |printTypes| |conjunction|
+ |OMgetString| |stronglyReduce| |cAcoth| |pseudoDivide| |supersub|
+ |nil?| |exponential1| |makeUnit| |root?| |matrixConcat3D| |univariate|
+ |userOrdered?| |create3Space| |firstSubsetGray| |bivariateSLPEBR|
+ |overlap| |recur| |parseString| |modifyPointData| |internalSubPolSet?|
+ |f04adf| |euclideanGroebner| |semiResultantEuclideannaif| |dmp2rfi|
+ |ptFunc| |removeRoughlyRedundantFactorsInContents| |power!|
+ |OMgetBVar| |setsubMatrix!| |isPlus| |lyndon?| |totalGroebner|
+ |resultantEuclideannaif| |cyclic?| |sin?| |controlPanel|
+ |alphanumeric?| |trace2PowMod| |ratPoly| |OMgetEndObject| |OMgetAtp|
+ |check| |factor| |cfirst| |extractSplittingLeaf| |compile|
+ |leadingBasisTerm| |pushdterm| |divisorCascade|
+ |stiffnessAndStabilityOfODEIF| |differentialVariables|
+ |factorSFBRlcUnit| |cycleSplit!| |hasPredicate?| |rename| |sqrt|
+ |RemainderList| |f07fdf| |coordinate| |removeRedundantFactors|
+ |stoseInvertibleSetreg| |generalizedEigenvector| |inGroundField?|
+ |oblateSpheroidal| |setErrorBound| |ocf2ocdf| |real| |iiacos| |f04mbf|
+ |viewPhiDefault| |listLoops| |truncate| |basisOfCentroid| |quadratic|
+ |stiffnessAndStabilityFactor| |iiasinh| |s15adf| |imag| |orbits|
+ |e01bgf| |s15aef| |nthExpon| |lquo| |alphabetic| |f07adf|
+ |directProduct| |f02aff| |groebnerFactorize| |head| F2FG |next|
+ |maxPoints3D| |power| |groebner?| |algDsolve| |nor| |unknownEndian|
+ |nil| |selectMultiDimensionalRoutines| |quasiRegular?| |yCoordinates|
+ |f02agf| |f01bsf| |hspace| |primitivePart| |tree| |totalDifferential|
+ |primlimitedint| |powerSum| |float?| |normalDeriv| |e01saf|
+ |symmetricDifference| |viewDefaults| |brace| |invmultisect|
+ |extendedint| |generate| |quotient| |bivariate?| |backOldPos|
+ |extractProperty| |qPot| |univariatePolynomialsGcds| |approximants|
+ |loopPoints| |complementaryBasis| |printHeader| |updatD| |destruct|
+ |boundOfCauchy| |generic?| |selectAndPolynomials| |coerceL| |max|
+ |rational| |removeSuperfluousQuasiComponents| |rationalPoint?|
+ |approximate| |quote| |normalise| |removeZero| |ksec| |acothIfCan|
+ |vectorise| |splitConstant| |commonDenominator| |iifact| |row|
+ |complex| |s14abf| |linkToFortran| |compiledFunction|
+ |setScreenResolution3D| |every?| |isQuotient| |aQuadratic|
+ |createMultiplicationMatrix| |pushucoef| |rk4f| |errorInfo|
+ |OMputEndObject| |maxColIndex| |iteratedInitials| |pow| |OMputEndAttr|
+ |pquo| |generic| |errorKind| |fi2df| |extendedEuclidean| |ord|
+ |flatten| |viewDeltaXDefault| |monomial| |viewpoint| |blankSeparate|
+ |basisOfLeftNucleus| |accuracyIF| |s21bbf| |setPrologue!| |randomLC|
+ |rightDiscriminant| |moduleSum| |insert| |multivariate|
+ |rootDirectory| |monomialIntegrate| |style| |rightAlternative?|
+ |tablePow| |incrementBy| |invertible?| |expPot| |figureUnits|
+ |divideIfCan!| |graphImage| |variables| |iflist2Result| |morphism|
+ |d01akf| |f04qaf| |optpair| |expand| |LyndonBasis| |primintegrate|
+ |approxNthRoot| |OMgetInteger| |blue| |initial| |tubePlot| |directory|
+ |rowEchelonLocal| |height| |eigenMatrix| UP2UTS |filterWhile|
+ |setRow!| |computeInt| |mappingMode| |f01brf| |typeLists|
+ |useEisensteinCriterion?| |dual| |nextLatticePermutation|
+ |inverseLaplace| |filterUntil| |divideIfCan| |enterInCache|
+ |curryLeft| |upDateBranches| |componentUpperBound| |stop|
+ |primextendedint| |setClosed| |rightScalarTimes!| |e02baf|
+ |lazyPseudoQuotient| |select| |dimension| |groebnerIdeal| |keys|
+ |stoseInvertible?reg| |laurentRep| |stoseInternalLastSubResultant|
+ |zerosOf| |c06fqf| |lex| |functorData| |dmpToHdmp| |validExponential|
+ |optimize| |nextNormalPrimitivePoly| |taylor| |hasHi| |clipSurface|
+ |bipolarCylindrical| |stack| |secIfCan| |lookupFunction|
+ |resultantnaif| |mapdiv| |sts2stst| |setStatus| |polar|
+ |monicLeftDivide| |double| |reducedDiscriminant| |laurent|
+ |purelyAlgebraicLeadingMonomial?| |f01ref| |leftRemainder|
+ |rightQuotient| |subResultantChain| |permutations| |dom| |binary|
+ |outerProduct| |high| |complexNumericIfCan| |puiseux| |RittWuCompare|
+ |primeFrobenius| |f04mcf| |rightZero| |block| |lazyEvaluate| |obj|
+ |minimalPolynomial| |deleteRoutine!| |tan2cot| |initiallyReduce|
+ |graeffe| |prinshINFO| |makeResult| |column| RF2UTS
+ |prolateSpheroidal| |eigenvalues| |linearAssociatedExp| |inv|
+ |unparse| |setClipValue| |cLog| |rotate!| |makeRecord|
+ |setScreenResolution| |f01rcf| |ground?| |extendedResultant| |op|
+ |s14aaf| |presub| |s18dcf| |chvar| |leastAffineMultiple| |f02abf|
+ |extractIfCan| |makingStats?| |ground| |radicalSolve| |OMputEndApp|
+ |cross| |vertConcat| |rationalApproximation| |f02aef| |safeFloor|
+ |cAtan| |eof?| |checkForZero| |varselect| |precision|
+ |leadingMonomial| |tanNa| |monicDivide| |factorial| |sechIfCan|
+ |typeList| |headReduce| |iiacosh| |conditionsForIdempotents|
+ |mathieu11| |leadingCoefficient| |clipWithRanges| |disjunction|
+ |updateStatus!| |size?| |leftRank| |antiCommutator|
+ |solveLinearlyOverQ| |showFortranOutputStack| |primitiveMonomials|
+ |henselFact| |lazyPremWithDefault| |genericRightTraceForm| |nlde|
+ |lazyPrem| |complexNormalize| |factor1| |output| |bezoutMatrix|
+ |minrank| |geometric| |reductum| |simpleBounds?| |genericRightNorm|
+ |s01eaf| |rootBound| |cosIfCan| |test| |systemSizeIF| |addMatch|
+ |kind| |inf| |primitivePart!| |tail| |content| |sorted?| |modifyPoint|
+ |complexSolve| |rightUnits| |OMgetType| |OMputEndError| |lhs| |ode1|
+ |e02adf| |readIfCan!| |trunc| |solveLinear| |constant?| |bindings|
+ |setLabelValue| |useNagFunctions| |smith| |constantRight| |getMatch|
+ |rhs| |purelyTranscendental?| |sumOfDivisors| |apply|
+ |quasiAlgebraicSet| |slash| |zoom| |permanent| |bothWays|
+ |OMgetEndError| |redpps| |viewPosDefault| |irCtor| |d01aqf|
+ |whatInfinity| |first| |nthFractionalTerm|
+ |internalSubQuasiComponent?| |message| |graphState| |getVariableOrder|
+ |separateDegrees| |rightTrace| |atoms| |rest| |oneDimensionalArray|
+ |bfEntry| |cycleRagits| |makeViewport3D| |paraboloidal| |c06gbf|
+ |acosIfCan| |pointLists| |halfExtendedSubResultantGcd1| |socf2socdf|
+ |checkRur| |factorsOfDegree| |e01baf| |cyclotomicFactorization|
+ |bumptab| |createPrimitiveNormalPoly| |chiSquare| |tanAn|
+ |shanksDiscLogAlgorithm| |toseSquareFreePart| |e02ajf|
+ |euclideanNormalForm| |yellow| |distdfact| |tanh2coth| |erf|
+ |horizontalTab| |SturmHabichtMultiple| |eisensteinIrreducible?|
+ |meshPar2Var| |extractBottom!| |denomRicDE| |subTriSet?| |fortran|
+ |unit?| |OMlistSymbols| |diff| |showArrayValues| |bubbleSort!| |any|
+ |exponentialOrder| |OMencodingUnknown| |internalZeroSetSplit|
+ |integers| |cup| |indicialEquations| |lp| |tryFunctionalDecomposition|
+ |UpTriBddDenomInv| |newLine| |iiacsch| |stopTable!| |setPredicates|
+ |rightTrim| |hash| |normal?| |void| |dilog| |substitute|
+ |selectOptimizationRoutines| |bombieriNorm| |cSech| |count|
+ |modularGcdPrimitive| |relationsIdeal| |OMParseError?| |s19acf|
+ |leftTrim| |sin| |imagi| |rightExactQuotient| |lexTriangular|
+ |maxrank| |intcompBasis| |OMreadFile| |ridHack1| |printStats!|
+ |irreducibleFactors| |wholeRagits| |cos| |rdHack1| |repeating?|
+ |halfExtendedResultant2| |odd?| |charthRoot| |solid?| |exprToXXP|
+ |stopMusserTrials| |toroidal| |makeYoungTableau| |tan|
+ |brillhartTrials| |zeroSquareMatrix| |getMeasure| |endOfFile?|
+ |strongGenerators| |polyred| |jvmUTF8ConstantTag| |ParCond|
+ |insertRoot!| |lfinfieldint| |fortranLiteral| |cot|
+ |generateIrredPoly| |fortranCompilerName| |option?| |cot2trig| |char|
+ |OMencodingSGML| |redPol| |airyBi| |insertBottom!| |antisymmetric?|
+ |stirling2| |intermediateResultsIF| |sec| |getMultiplicationMatrix|
+ |logpart| |iisinh| |plus| |extendIfCan| |rational?| |monomRDE|
+ |augment| |lazyPseudoDivide| |purelyAlgebraic?| |csc| |s18aff|
+ |OMUnknownSymbol?| |linearMatrix| |printCode| |multinomial| |Aleph|
+ |eigenvectors| |s20acf| |mr| |cardinality| |imports| |nand| |asin|
+ |fortranComplex| |subNodeOf?| |pol| |getDatabase| |nullary| |toScale|
+ |rewriteIdealWithHeadRemainder| |radicalRoots| |expenseOfEvaluationIF|
+ |bandedJacobian| |rk4a| |acos| |times| |predicates| |atanhIfCan|
+ |hostByteOrder| |hconcat| |float| |harmonic| |partialNumerators|
+ |s19aaf| |complexExpand| |horizConcat| |atan| |minPoints3D|
+ |createRandomElement| |shiftRight| |var1StepsDefault| |ran|
+ |totalfract| |qfactor| |inputBinaryFile| |scopes| |separateFactors|
+ |acot| |script| |d03faf| |partialFraction| |integralBasisAtInfinity|
+ |iExquo| |sn| |cTanh| |getIdentifier| |overset?| |multiEuclidean|
+ |ranges| |numFunEvals3D| |delta| |asec| |options| |sncndn| |linear?|
+ |extractClosed| |Hausdorff| |removeDuplicates| |constructor| |matrix|
+ |moreAlgebraic?| |saturate| |d03eef| |bernoulliB|
+ |wordsForStrongGenerators| |rangeIsFinite| |acsc| |OMputBVar|
+ |viewDeltaYDefault| |status| |monom| |setTex!| |meshPar1Var|
+ |increase| |lifting1| |univcase| |findBinding| |tubePointsDefault|
+ |sinh| |string| |tex| |finiteBound| |prime| |rightRank| |modularGcd|
+ |central?| |infieldint| |baseRDE| |squareMatrix| |concat!|
+ |increasePrecision| |cSin| |cosh| |lepol|
+ |removeIrreducibleRedundantFactors| |domainTemplate| |module|
+ |associative?| |points| |isobaric?| |fixedPoints| |OMopenString|
+ |bivariatePolynomials| |SFunction| |tanh| |common| UTS2UP |build|
+ |inHallBasis?| |symmetricPower| |integralDerivationMatrix|
+ |irreducibleFactor| |xn| |length| |adaptive?| |currentCategoryFrame|
+ |reverse| |coth| |getProperties| |mainPrimitivePart| |pastel|
+ |mainMonomials| |definingPolynomial| GE |integralRepresents|
+ |directSum| |semiDiscriminantEuclidean| |seed| |scripts| |factorials|
+ |zeroDimPrimary?| |sech| |OMreceive| |rightGcd|
+ |resultantReduitEuclidean| |hue| |d01ajf| GT
+ |generalizedContinuumHypothesisAssumed| |times!| |mvar| |lambda|
+ |doubleDisc| |permutationRepresentation| |changeMeasure| |iiatan|
+ |csch| |laplacian| |squareFree| |returns| |viewWriteAvailable|
+ |pseudoQuotient| LE |df2ef| |exprex| |integer?| |less?| |voidMode|
+ |tableau| |asinh| |drawToScale| FG2F |represents| |duplicates?|
+ |linearlyDependentOverZ?| LT |startTableGcd!| |identification|
+ |square?| |patternMatchTimes| |divideExponents| |acosh|
+ |jvmFieldrefConstantTag| |myDegree| |genericLeftDiscriminant| |just|
+ |sylvesterMatrix| |shiftRoots| |approxSqrt| |genericLeftTraceForm|
+ |jvmVolatile| |s17dhf| |measure| |atanh| |e04dgf| |csch2sinh|
+ |lazyIrreducibleFactors| |realZeros| |credPol| |trivialIdeal?|
+ |setLegalFortranSourceExtensions| |d01alf| |elements| |gcdPrimitive|
+ |mpsode| |acoth| |solve| |oddlambert| |iidprod| |exQuo| |jvmAbstract|
+ |s13aaf| |lowerCase?| |reflect| |e02gaf| |factorList| |midpoints|
+ |asech| |roughUnitIdeal?| |KrullNumber| |radPoly| |genus| |pointData|
+ |bounds| |numberOfComputedEntries| |s17adf| |minPoly| |meatAxe|
+ |iidsum| |bandedHessian| |exteriorDifferential| |increment| |getOrder|
+ |transcendent?| |bfKeys| |problemPoints| |currentScope| |cubic|
+ |multiple| |numerator| |stFunc1| |commutativeEquality| |singRicDE|
+ |halfExtendedResultant1| |crushedSet| |zag| |extensionDegree|
+ |legendreP| |roughBasicSet| |applyQuote| |lSpaceBasis| |diagonal?|
+ |factorGroebnerBasis| |unitVector| |coshIfCan| |genericRightTrace|
+ |cAsech| |linGenPos| |declare!| |zCoord| |rquo| |mkPrim|
+ |mainDefiningPolynomial| |lexico| |infRittWu?| |degreePartition|
+ |rowEch| |solveLinearPolynomialEquationByFractions|
+ |leadingCoefficientRicDE| |makeGraphImage| |parametersOf|
+ |perfectSqrt| |ScanRoman| |notelem| |stFuncN| |palgRDE| |character?|
+ |integralCoordinates| |explicitlyEmpty?| |polyPart| |lowerCase!|
+ |parameters| GF2FG |ruleset| |fixPredicate| |polygon?| |explimitedint|
+ |OMreadStr| |semiResultantEuclidean1| |padicFraction| |findCycle|
+ |complexForm| |multiple?| |diagonalMatrix| |bezoutResultant|
+ |flagFactor| |chainSubResultants| |maxIndex| |failed?|
+ |areEquivalent?| |id| |htrigs| |OMputInteger| |invertibleSet|
+ |sdf2lst| |argscript| |unitNormalize| |hasTopPredicate?| |wholeRadix|
+ |cycle| |numberOfImproperPartitions| |fractionPart| |e02zaf| |lo|
+ |setMaxPoints3D| |infLex?| |pleskenSplit| |numericalOptimization|
+ |cRationalPower| |suchThat| |c06ecf| |OMputSymbol| |wholePart|
+ |removeZeroes| |doubleResultant| |reducedContinuedFraction| |step|
+ |OMconnOutDevice| |lastSubResultantElseSplit| |algint| |coord|
+ |constantToUnaryFunction| |const| |normFactors| |collectUpper|
+ |firstNumer| |identity| |segment| |null?| |leaf?|
+ |reciprocalPolynomial| |generalPosition| |genericPosition| |copy!|
+ |repeating| |computeCycleEntry| |rischDE| |tensorProduct| |color|
+ |alternating| |curry| |dot| |connect|
+ |dimensionOfIrreducibleRepresentation| |jvmPrivate| |minColIndex|
+ |normDeriv2| |acscIfCan| |irreducibleRepresentation| |nary?| |cons|
+ |minimize| |leftRecip| |s17def| |node?| |log10| |contains?|
+ |ReduceOrder| |randnum| |testModulus| |numberOfCycles|
+ |stoseInvertible?| |rotatex| |getConstant| |divisor| |optAttributes|
+ |iisech| |decimal| |rombergo| |upperCase!| |bitand| |presuper|
+ |infiniteProduct| |getGraph| |definingEquations| |changeThreshhold|
+ |push| |setEmpty!| |exponent| |outputList| |calcRanges| |slex|
+ |intChoose| |bitior| |categoryFrame| |ravel| |minPoints|
+ |subResultantGcdEuclidean| |transpose| |flexible?|
+ |characteristicSerie| |asecIfCan| |quoByVar| |sumOfKthPowerDivisors|
+ |pseudoRemainder| |goodnessOfFit| |ptree| |lieAdmissible?|
+ |LazardQuotient| |testDim| |reshape| |primeFactor| |prod|
+ |radicalOfLeftTraceForm| |choosemon| |wordInStrongGenerators|
+ |extendedSubResultantGcd| |cyclicGroup| |arguments| |logical?|
+ |source| |setleft!| |commaSeparate| |superHeight| |setAdaptive|
+ |deref| |explicitlyFinite?| |capacity| |mainMonomial| |qqq| |nodeOf?|
+ |mapMatrixIfCan| |bsolve| |leviCivitaSymbol| |reduceBasisAtInfinity|
+ |subtractIfCan| |regularRepresentation| |jacobian| |overbar| |dim|
+ |branchPointAtInfinity?| |primlimintfrac| |polarCoordinates|
+ |totalDegree| |transform| |lyndon| |palgintegrate| |factorPolynomial|
+ |completeHermite| |mkcomm| |palgint| |c06fpf| |reduction| |e01sff|
+ |shallowExpand| |corrPoly| |weights| |lifting| |polyRicDE| |tanQ|
+ |OMbindTCP| |pureLex| |fglmIfCan| |makeFloatFunction|
+ |evaluateInverse| |mightHaveRoots| |elRow1!| |empty?| |OMputAtp|
+ |retract| |wordInGenerators| |push!| |exists?| |selectfirst|
+ |removeSinSq| |spherical| |weierstrass| |f04asf| |root| |exp1|
+ |stoseSquareFreePart| |LagrangeInterpolation| |exportedOperators|
+ |nextNormalPoly| |integralMatrixAtInfinity| |makeFR| |coleman|
+ |s19adf| |realSolve| |firstUncouplingMatrix| |qelt| |trapezoidalo|
+ |replace| |logGamma| |d02kef| |close!| |hcrf| |prepareSubResAlgo|
+ |key| |linearAssociatedLog| |lazyPseudoRemainder| |asimpson| |qsetelt|
+ |badNum| |isAnd| |position| |bernoulli| |getExplanations|
+ |argumentListOf| |elRow2!| |d02bbf| |sturmSequence| |logIfCan| |eq|
+ |imagJ| |xRange| |innerSolve1| |tValues| |whileLoop| |birth|
+ |filename| |compdegd| |headReduced?| |createZechTable| |lift|
+ |computeBasis| |f02xef| |cSec| |iter| |yRange| |makeSin| |pole?|
+ |iiperm| |startStats!| |stoseIntegralLastSubResultant| |reduce|
+ |indicialEquationAtInfinity| |univariate?| |totolex| |zRange| |table|
+ |modularFactor| |back| |associatedEquations| Y |interval|
+ |OMgetSymbol| |linearElement| |parse| |coth2trigh| |quoted?| |mapCoef|
+ |OMencodingBinary| |pdf2ef| |map!| |new| |binaryTree|
+ |complexEigenvalues| |iiacsc| |quotientByP| |collectQuasiMonic|
+ |OMputEndAtp| |mathieu22| |nthCoef| |startTableInvSet!| |gcdcofact|
+ |qsetelt!| |rCoord| |red| |setleaves!| |coerceImages| |bumptab1|
+ |plot| |fortranTypeOf| |polyRDE| |leftQuotient| |queue|
+ |removeRedundantFactorsInPols| |curve?| |rewriteIdealWithRemainder|
+ |trim| |e02bbf| |subset?| |failed| |nextSublist| |factorByRecursion|
+ |subPolSet?| |leftOne| |mesh| |rangePascalTriangle| |rischDEsys|
+ |ip4Address| |rarrow| |rotatez| |cCsc| |jvmSuper| |multiEuclideanTree|
+ |OMunhandledSymbol| |cartesian| |outputBinaryFile| |cycleElt|
+ |univariatePolynomial| |readLine!| |c06eaf| |internalLastSubResultant|
+ |dioSolve| |radix| |imagj| |PDESolve| |kroneckerDelta| |setFormula!|
+ |acsch| |imagK| |lllip| |value| |list| |expandLog| |binomThmExpt|
+ |mapBivariate| |iiatanh| |setMinPoints3D| |irForm| |draw|
+ |euclideanSize| |double?| |innerSolve| |OMconnInDevice| |properties|
+ |error| |formula| |external?| |diophantineSystem| |OMconnectTCP|
+ |zero?| |headAst| |normalDenom| |fmecg| |pushuconst| |coordinates|
+ |translate| |f01qcf| |expandTrigProducts| |gcdPolynomial| |mainValue|
+ |addPoint2| |left| |setCondition!| |cycleLength| |f01qef|
+ |stronglyReduced?| |triangular?| |norm| |pdct| |shade|
+ |showClipRegion| |writeBytes!| |right| |leftTrace| |shallowCopy|
+ |linearlyDependent?| |setDifference| |imaginary| |index| |rdregime|
+ |bat1| |deriv| |fintegrate| |bracket| |makeObject| |component| |cAsin|
+ |hdmpToDmp| |rroot| |byte| |setImagSteps| |ceiling|
+ |multiplyCoefficients| |e01daf| |nrows| |e02dcf| |bigEndian|
+ |tubeRadius| |lfextendedint| |signatureAst| |coef| |prinpolINFO|
+ |indices| |pair| |besselY| |ncols| |rspace| |mainVariables| |name|
+ |f07aef| |eulerE| |midpoint| |factorFraction| |packageCall|
+ |symmetricRemainder| |newReduc| |setTopPredicate| |padecf| |body|
+ |result| |clearTheIFTable| |retractIfCan| |aspFilename|
+ |splitDenominator| |reducedQPowers| |d02ejf| |trace| |minGbasis|
+ |simpson| |traceMatrix| |argument| |redmat| |quartic| |setButtonValue|
+ |pointSizeDefault| |pToDmp| |middle| |numericIfCan| |indicialEquation|
+ |eval| |infinityNorm| |factorSquareFreeByRecursion| |limitedint|
+ |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
diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase
index 60da4c6a..072dd8d4 100644
--- a/src/share/algebra/interp.daase
+++ b/src/share/algebra/interp.daase
@@ -1,5480 +1,5480 @@
-(3472859 . 3509594090)
-((-2631 (((-114) (-1 (-114) |#2| |#2|) $) 86 T ELT) (((-114) $) NIL T ELT)) (-2946 (($ (-1 (-114) |#2| |#2|) $) 18 T ELT) (($ $) NIL T ELT)) (-2494 ((|#2| $ (-560) |#2|) NIL T ELT) ((|#2| $ (-1266 (-560)) |#2|) 44 T ELT)) (-4428 (($ $) 80 T ELT)) (-4259 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 52 T ELT) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 50 T ELT) ((|#2| (-1 |#2| |#2| |#2|) $) 49 T ELT)) (-3599 (((-560) (-1 (-114) |#2|) $) 27 T ELT) (((-560) |#2| $) NIL T ELT) (((-560) |#2| $ (-560)) 96 T ELT)) (-2186 (((-663 |#2|) $) 13 T ELT)) (-3468 (($ (-1 (-114) |#2| |#2|) $ $) 64 T ELT) (($ $ $) NIL T ELT)) (-3631 (($ (-1 |#2| |#2|) $) 37 T ELT)) (-4453 (($ (-1 |#2| |#2|) $) NIL T ELT) (($ (-1 |#2| |#2| |#2|) $ $) 60 T ELT)) (-2744 (($ |#2| $ (-560)) NIL T ELT) (($ $ $ (-560)) 67 T ELT)) (-4383 (((-3 |#2| "failed") (-1 (-114) |#2|) $) 29 T ELT)) (-1964 (((-114) (-1 (-114) |#2|) $) 23 T ELT)) (-2492 ((|#2| $ (-560) |#2|) NIL T ELT) ((|#2| $ (-560)) NIL T ELT) (($ $ (-1266 (-560))) 66 T ELT)) (-1987 (($ $ (-560)) 76 T ELT) (($ $ (-1266 (-560))) 75 T ELT)) (-3049 (((-793) (-1 (-114) |#2|) $) 34 T ELT) (((-793) |#2| $) NIL T ELT)) (-3928 (($ $ $ (-560)) 69 T ELT)) (-2517 (($ $) 68 T ELT)) (-4250 (($ (-663 |#2|)) 73 T ELT)) (-2136 (($ $ |#2|) NIL T ELT) (($ |#2| $) NIL T ELT) (($ $ $) 87 T ELT) (($ (-663 $)) 85 T ELT)) (-4236 (((-888) $) 92 T ELT)) (-4459 (((-114) (-1 (-114) |#2|) $) 22 T ELT)) (-2321 (((-114) $ $) 95 T ELT)) (-2344 (((-114) $ $) 99 T ELT)))
-(((-18 |#1| |#2|) (-10 -8 (-15 -2321 ((-114) |#1| |#1|)) (-15 -4236 ((-888) |#1|)) (-15 -2344 ((-114) |#1| |#1|)) (-15 -2946 (|#1| |#1|)) (-15 -2946 (|#1| (-1 (-114) |#2| |#2|) |#1|)) (-15 -4428 (|#1| |#1|)) (-15 -3928 (|#1| |#1| |#1| (-560))) (-15 -2631 ((-114) |#1|)) (-15 -3468 (|#1| |#1| |#1|)) (-15 -3599 ((-560) |#2| |#1| (-560))) (-15 -3599 ((-560) |#2| |#1|)) (-15 -3599 ((-560) (-1 (-114) |#2|) |#1|)) (-15 -2631 ((-114) (-1 (-114) |#2| |#2|) |#1|)) (-15 -3468 (|#1| (-1 (-114) |#2| |#2|) |#1| |#1|)) (-15 -2494 (|#2| |#1| (-1266 (-560)) |#2|)) (-15 -2744 (|#1| |#1| |#1| (-560))) (-15 -2744 (|#1| |#2| |#1| (-560))) (-15 -1987 (|#1| |#1| (-1266 (-560)))) (-15 -1987 (|#1| |#1| (-560))) (-15 -4453 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -2136 (|#1| (-663 |#1|))) (-15 -2136 (|#1| |#1| |#1|)) (-15 -2136 (|#1| |#2| |#1|)) (-15 -2136 (|#1| |#1| |#2|)) (-15 -2492 (|#1| |#1| (-1266 (-560)))) (-15 -4250 (|#1| (-663 |#2|))) (-15 -4383 ((-3 |#2| "failed") (-1 (-114) |#2|) |#1|)) (-15 -4259 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -4259 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -4259 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2492 (|#2| |#1| (-560))) (-15 -2492 (|#2| |#1| (-560) |#2|)) (-15 -2494 (|#2| |#1| (-560) |#2|)) (-15 -3049 ((-793) |#2| |#1|)) (-15 -2186 ((-663 |#2|) |#1|)) (-15 -3049 ((-793) (-1 (-114) |#2|) |#1|)) (-15 -1964 ((-114) (-1 (-114) |#2|) |#1|)) (-15 -4459 ((-114) (-1 (-114) |#2|) |#1|)) (-15 -3631 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -4453 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -2517 (|#1| |#1|))) (-19 |#2|) (-1249)) (T -18))
+(3472859 . 3509634665)
+((-3003 (((-114) (-1 (-114) |#2| |#2|) $) 86 T ELT) (((-114) $) NIL T ELT)) (-4010 (($ (-1 (-114) |#2| |#2|) $) 18 T ELT) (($ $) NIL T ELT)) (-2556 ((|#2| $ (-560) |#2|) NIL T ELT) ((|#2| $ (-1266 (-560)) |#2|) 44 T ELT)) (-2431 (($ $) 80 T ELT)) (-3709 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 52 T ELT) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 50 T ELT) ((|#2| (-1 |#2| |#2| |#2|) $) 49 T ELT)) (-3679 (((-560) (-1 (-114) |#2|) $) 27 T ELT) (((-560) |#2| $) NIL T ELT) (((-560) |#2| $ (-560)) 96 T ELT)) (-2241 (((-663 |#2|) $) 13 T ELT)) (-2165 (($ (-1 (-114) |#2| |#2|) $ $) 64 T ELT) (($ $ $) NIL T ELT)) (-3728 (($ (-1 |#2| |#2|) $) 37 T ELT)) (-1362 (($ (-1 |#2| |#2|) $) NIL T ELT) (($ (-1 |#2| |#2| |#2|) $ $) 60 T ELT)) (-2810 (($ |#2| $ (-560)) NIL T ELT) (($ $ $ (-560)) 67 T ELT)) (-1968 (((-3 |#2| "failed") (-1 (-114) |#2|) $) 29 T ELT)) (-2780 (((-114) (-1 (-114) |#2|) $) 23 T ELT)) (-2481 ((|#2| $ (-560) |#2|) NIL T ELT) ((|#2| $ (-560)) NIL T ELT) (($ $ (-1266 (-560))) 66 T ELT)) (-2039 (($ $ (-560)) 76 T ELT) (($ $ (-1266 (-560))) 75 T ELT)) (-3109 (((-793) (-1 (-114) |#2|) $) 34 T ELT) (((-793) |#2| $) NIL T ELT)) (-4376 (($ $ $ (-560)) 69 T ELT)) (-2577 (($ $) 68 T ELT)) (-2386 (($ (-663 |#2|)) 73 T ELT)) (-2185 (($ $ |#2|) NIL T ELT) (($ |#2| $) NIL T ELT) (($ $ $) 87 T ELT) (($ (-663 $)) 85 T ELT)) (-2375 (((-888) $) 92 T ELT)) (-1548 (((-114) (-1 (-114) |#2|) $) 22 T ELT)) (-2308 (((-114) $ $) 95 T ELT)) (-2330 (((-114) $ $) 99 T ELT)))
+(((-18 |#1| |#2|) (-10 -8 (-15 -2308 ((-114) |#1| |#1|)) (-15 -2375 ((-888) |#1|)) (-15 -2330 ((-114) |#1| |#1|)) (-15 -4010 (|#1| |#1|)) (-15 -4010 (|#1| (-1 (-114) |#2| |#2|) |#1|)) (-15 -2431 (|#1| |#1|)) (-15 -4376 (|#1| |#1| |#1| (-560))) (-15 -3003 ((-114) |#1|)) (-15 -2165 (|#1| |#1| |#1|)) (-15 -3679 ((-560) |#2| |#1| (-560))) (-15 -3679 ((-560) |#2| |#1|)) (-15 -3679 ((-560) (-1 (-114) |#2|) |#1|)) (-15 -3003 ((-114) (-1 (-114) |#2| |#2|) |#1|)) (-15 -2165 (|#1| (-1 (-114) |#2| |#2|) |#1| |#1|)) (-15 -2556 (|#2| |#1| (-1266 (-560)) |#2|)) (-15 -2810 (|#1| |#1| |#1| (-560))) (-15 -2810 (|#1| |#2| |#1| (-560))) (-15 -2039 (|#1| |#1| (-1266 (-560)))) (-15 -2039 (|#1| |#1| (-560))) (-15 -1362 (|#1| (-1 |#2| |#2| |#2|) |#1| |#1|)) (-15 -2185 (|#1| (-663 |#1|))) (-15 -2185 (|#1| |#1| |#1|)) (-15 -2185 (|#1| |#2| |#1|)) (-15 -2185 (|#1| |#1| |#2|)) (-15 -2481 (|#1| |#1| (-1266 (-560)))) (-15 -2386 (|#1| (-663 |#2|))) (-15 -1968 ((-3 |#2| "failed") (-1 (-114) |#2|) |#1|)) (-15 -3709 (|#2| (-1 |#2| |#2| |#2|) |#1|)) (-15 -3709 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2|)) (-15 -3709 (|#2| (-1 |#2| |#2| |#2|) |#1| |#2| |#2|)) (-15 -2481 (|#2| |#1| (-560))) (-15 -2481 (|#2| |#1| (-560) |#2|)) (-15 -2556 (|#2| |#1| (-560) |#2|)) (-15 -3109 ((-793) |#2| |#1|)) (-15 -2241 ((-663 |#2|) |#1|)) (-15 -3109 ((-793) (-1 (-114) |#2|) |#1|)) (-15 -2780 ((-114) (-1 (-114) |#2|) |#1|)) (-15 -1548 ((-114) (-1 (-114) |#2|) |#1|)) (-15 -3728 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -1362 (|#1| (-1 |#2| |#2|) |#1|)) (-15 -2577 (|#1| |#1|))) (-19 |#2|) (-1249)) (T -18))
NIL
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NIL
(-13 (-385 |t#1|) (-10 -7 (-6 -4511)))
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NIL
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(((-23) . T) ((-25) . T) ((-102) . T) ((-133) . T) ((-632 (-888)) . T) ((-668 (-560)) . T) ((-1133) . T) ((-1249) . T))
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NIL
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(((-23) (-142)) (T -23))
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(((-25) . T) ((-102) . T) ((-632 (-888)) . T) ((-1133) . T) ((-1249) . T))
((* (($ (-949) $) 10 T ELT)))
(((-24 |#1|) (-10 -8 (-15 * (|#1| (-949) |#1|))) (-25)) (T -24))
NIL
(-10 -8 (-15 * (|#1| (-949) |#1|)))
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(((-25) (-142)) (T -25))
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(((-102) . T) ((-632 (-888)) . T) ((-1133) . T) ((-1249) . T))
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NIL
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(((-27) (-142)) (T -27))
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 #0=(-421 (-560))) . T) ((-38 $) . T) ((-102) . T) ((-111 #0# #0#) . T) ((-111 $ $) . T) ((-133) . T) ((-635 #0#) . T) ((-635 (-560)) . T) ((-635 $) . T) ((-632 (-888)) . T) ((-175) . T) ((-250) . T) ((-302) . T) ((-319) . T) ((-376) . T) ((-466) . T) ((-571) . T) ((-668 #0#) . T) ((-668 (-560)) . T) ((-668 $) . T) ((-670 #0#) . T) ((-670 $) . T) ((-662 #0#) . T) ((-662 $) . T) ((-739 #0#) . T) ((-739 $) . T) ((-748) . T) ((-951) . T) ((-1034) . T) ((-1083 #0#) . T) ((-1083 $) . T) ((-1088 #0#) . T) ((-1088 $) . T) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . T) ((-1254) . T))
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(((-38 |#1|) (-142) (-175)) (T -38))
NIL
(-13 (-1081) (-739 |t#1|) (-635 |t#1|))
(((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-133) . T) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-632 (-888)) . T) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 |#1|) . T) ((-670 $) . T) ((-662 |#1|) . T) ((-739 |#1|) . T) ((-748) . T) ((-1083 |#1|) . T) ((-1088 |#1|) . T) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . T))
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NIL
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NIL
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NIL
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(((-196) (-809)) (T -196))
NIL
(-809)
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(((-197) (-809)) (T -197))
NIL
(-809)
-((-2081 (((-114) $ $) NIL T ELT)) (-3234 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 81 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -3846 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-2866 (((-2 (|:| -2866 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 46 T ELT) (((-2 (|:| -2866 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -3846 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-2968 (((-1191) $) NIL T ELT)) (-3039 (((-1152) $) NIL T ELT)) (-4236 (((-888) $) NIL T ELT)) (-3828 (((-114) $ $) NIL T ELT)) (-2321 (((-114) $ $) NIL T ELT)))
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(((-198) (-809)) (T -198))
NIL
(-809)
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(((-199) (-809)) (T -199))
NIL
(-809)
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(((-200) (-809)) (T -200))
NIL
(-809)
-((-2081 (((-114) $ $) NIL T ELT)) (-3234 (((-1067) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) 93 T ELT) (((-1067) (-2 (|:| |fn| (-326 (-229))) (|:| -3846 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229))) (-1067)) NIL T ELT)) (-2866 (((-2 (|:| -2866 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229))) (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) 49 T ELT) (((-2 (|:| -2866 (-391)) (|:| |explanations| (-1191)) (|:| |extra| (-1067))) (-1095) (-2 (|:| |fn| (-326 (-229))) (|:| -3846 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229)) (|:| |relerr| (-229)))) NIL T ELT)) (-2968 (((-1191) $) NIL T ELT)) (-3039 (((-1152) $) NIL T ELT)) (-4236 (((-888) $) NIL T ELT)) (-3828 (((-114) $ $) NIL T ELT)) (-2321 (((-114) $ $) NIL T ELT)))
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(((-201) (-809)) (T -201))
NIL
(-809)
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(((-202) (-809)) (T -202))
NIL
(-809)
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(((-203) (-809)) (T -203))
NIL
(-809)
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(((-204) (-809)) (T -204))
NIL
(-809)
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(((-205) (-809)) (T -205))
NIL
(-809)
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(((-206) (-809)) (T -206))
NIL
(-809)
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(((-209) (-824)) (T -209))
NIL
(-824)
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(((-210) (-824)) (T -210))
NIL
(-824)
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(((-211) (-824)) (T -211))
NIL
(-824)
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(((-212) (-824)) (T -212))
NIL
(-824)
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(((-214) (-923)) (T -214))
NIL
(-923)
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(((-215) (-923)) (T -215))
NIL
(-923)
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NIL
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NIL
(-245 |#1| |#2|)
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NIL
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(((-250) (-142)) (T -250))
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NIL
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(((-277 |#1|) (-142) (-872)) (T -277))
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(((-102) . T) ((-635 |#1|) . T) ((-632 (-888)) . T) ((-236 $) . T) ((-239) . T) ((-872) . T) ((-875) . T) ((-1070 |#1|) . T) ((-1133) . T) ((-1249) . T))
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(((-279) (-863)) (T -279))
NIL
(-863)
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(((-280) (-863)) (T -280))
NIL
(-863)
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(((-281) (-863)) (T -281))
NIL
(-863)
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(((-282) (-863)) (T -282))
NIL
(-863)
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(((-283) (-863)) (T -283))
NIL
(-863)
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(((-284) (-863)) (T -284))
NIL
(-863)
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(((-285) (-863)) (T -285))
NIL
(-863)
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NIL
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(((-302) (-142)) (T -302))
NIL
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NIL
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NIL
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NIL
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NIL
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(((-21) . T) ((-23) . T) ((-25) . T) ((-102) . T) ((-133) . T) ((-632 (-888)) . T) ((-668 (-560)) . T) ((-1133) . T) ((-1249) . T))
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NIL
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(((-363) (-142)) (T -363))
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NIL
(-341 |#1|)
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(((-383 |#1| |#2|) (-142) (-175) (-1275 |t#1|)) (T -383))
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 |#1|) . T) ((-102) . T) ((-111 |#1| |#1|) . T) ((-133) . T) ((-147) |has| |#1| (-147)) ((-149) |has| |#1| (-149)) ((-635 (-560)) . T) ((-635 |#1|) . T) ((-632 (-888)) . T) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 $) . T) ((-670 |#1|) . T) ((-670 $) . T) ((-662 |#1|) . T) ((-739 |#1|) . T) ((-748) . T) ((-1083 |#1|) . T) ((-1088 |#1|) . T) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1249) . T))
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NIL
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NIL
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(((-426 |#1|) (-142) (-1249)) (T -426))
NIL
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NIL
(-1244 |#1| |#2| |#3| |#4|)
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(((-176) . T))
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(((-21) . T) ((-23) . T) ((-25) . T) ((-38 $) . T) ((-35) . T) ((-95) . T) ((-102) . T) ((-111 $ $) . T) ((-133) . T) ((-635 (-560)) . T) ((-635 $) . T) ((-632 (-888)) . T) ((-175) . T) ((-296) . T) ((-302) . T) ((-466) . T) ((-507) . T) ((-571) . T) ((-668 (-560)) . T) ((-668 $) . T) ((-670 $) . T) ((-662 $) . T) ((-739 $) . T) ((-748) . T) ((-872) . T) ((-875) . T) ((-1034) . T) ((-1070 (-560)) . T) ((-1083 $) . T) ((-1088 $) . T) ((-1081) . T) ((-1089) . T) ((-1144) . T) ((-1133) . T) ((-1235) . T) ((-1238) . T) ((-1249) . T))
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NIL
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(((-571) (-142)) (T -571))
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(((-677 |#1|) (-680 |#1|) (-240)) (T -677))
NIL
(-680 |#1|)
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NIL
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NIL
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NIL
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NIL
(-13 (-111 |t#1| |t#1|) (-662 |t#1|))
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(((-742) (-142)) (T -742))
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(((-102) . T) ((-632 (-888)) . T) ((-1133) . T) ((-1249) . T))
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NIL
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((|Integer|) (|%not| (|%ilt| |#1| 0)))
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NIL
(-1133)
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NIL
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(((-824) (-142)) (T -824))
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NIL
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(((-102) . T) ((-1249) . T))
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NIL
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NIL
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(((-1006) (-142)) (T -1006))
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(((-632 (-888)) . T))
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NIL
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NIL
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NIL
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NIL
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NIL
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(((-23) . T) ((-25) . T) ((-102) . T) ((-632 (-888)) . T) ((-748) . T) ((-1144) . T) ((-1133) . T) ((-1249) . T))
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NIL
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NIL
(-1115)
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T) ((-298 |#2| $) -12 (|has| |#1| (-376)) (|has| |#2| (-298 |#2| |#2|))) ((-298 $ $) |has| (-560) (-1144)) ((-302) -2179 (|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) -2179 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-668 #1#) -2179 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-668 (-560)) . T) ((-668 |#1|) . T) ((-668 |#2|) |has| |#1| (-376)) ((-668 $) . T) ((-670 #1#) -2179 (|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#) -2179 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-662 |#1|) |has| |#1| (-175)) ((-662 |#2|) |has| |#1| (-376)) ((-662 $) -2179 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-660 #3#) -12 (|has| |#1| (-376)) (|has| |#2| (-660 (-560)))) ((-660 |#2|) |has| |#1| (-376)) ((-739 #1#) -2179 (|has| |#1| (-376)) (|has| |#1| (-38 (-421 (-560))))) ((-739 |#1|) |has| |#1| (-175)) ((-739 |#2|) |has| |#1| (-376)) ((-739 $) -2179 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-748) . 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T) ((-635 $) -2171 (|has| |#1| (-571)) (|has| |#1| (-376))) ((-632 (-888)) . 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) . 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) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-872))) (-12 (|has| |#1| (-376)) (|has| |#2| (-844)))) ((-875) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-872))) (-12 (|has| |#1| (-376)) (|has| |#2| (-844)))) ((-922 $ #4=(-1209)) -2171 (-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)) -2171 (-12 (|has| |#1| (-376)) (|has| |#2| (-928 (-1209)))) (-12 (|has| |#1| (-15 * (|#1| (-560) |#1|))) (|has| |#1| (-928 (-1209))))) ((-930 #4#) -2171 (-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)) . 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NIL
(-1284 |#1| |#2|)
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-NIL
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NIL
(((-1295) (-142)) (T -1295))
NIL
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(((-1329 |#1|) (-13 (-175) (-381) (-633 (-560)) (-1184)) (-949)) (T -1329))
NIL
(-13 (-175) (-381) (-633 (-560)) (-1184))
@@ -5490,4 +5490,4 @@ NIL
NIL
NIL
NIL
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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 -1507 (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 3472844 3472849 3472854 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-2 3472829 3472834 3472839 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1 3472814 3472819 3472824 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (0 3472799 3472804 3472809 NIL NIL NIL NIL (NIL) -8 NIL NIL NIL) (-1329 3471792 3472674 3472751 "ZMOD" 3472756 NIL ZMOD (NIL NIL) -8 NIL NIL NIL) (-1328 3470828 3471010 3471233 "ZLINDEP" 3471624 NIL ZLINDEP (NIL T) -7 NIL NIL NIL) (-1327 3459990 3461896 3463868 "ZDSOLVE" 3468958 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL NIL) (-1326 3459224 3459377 3459566 "YSTREAM" 3459836 NIL YSTREAM (NIL T) -7 NIL NIL NIL) (-1325 3458584 3458893 3459008 "YDIAGRAM" 3459131 T YDIAGRAM (NIL) -8 NIL NIL NIL) (-1324 3456032 3457885 3458089 "XRPOLY" 3458427 NIL XRPOLY (NIL T T) -8 NIL NIL NIL) (-1323 3452299 3453903 3454478 "XPR" 3455504 NIL XPR (NIL T T) -8 NIL NIL NIL) (-1322 3449630 3451306 3451361 "XPOLYC" 3451649 NIL XPOLYC (NIL T T) -9 NIL 3451762 NIL) (-1321 3447025 3448961 3449165 "XPOLY" 3449461 NIL XPOLY (NIL T) -8 NIL NIL NIL) (-1320 3442971 3445542 3445930 "XPBWPOLY" 3446683 NIL XPBWPOLY (NIL T T) -8 NIL NIL NIL) (-1319 3437863 3439442 3439497 "XFALG" 3441669 NIL XFALG (NIL T T) -9 NIL 3442458 NIL) (-1318 3433139 3435839 3435881 "XF" 3436502 NIL XF (NIL T) -9 NIL 3436902 NIL) (-1317 3432736 3432848 3433017 "XF-" 3433022 NIL XF- (NIL T T) -8 NIL NIL NIL) (-1316 3431851 3431973 3432178 "XEXPPKG" 3432628 NIL XEXPPKG (NIL T T T) -7 NIL NIL NIL) (-1315 3429592 3431701 3431797 "XDPOLY" 3431802 NIL XDPOLY (NIL T T) -8 NIL NIL NIL) (-1314 3428247 3428985 3429028 "XALG" 3429033 NIL XALG (NIL T) -9 NIL 3429144 NIL) (-1313 3421157 3426224 3426718 "WUTSET" 3427839 NIL WUTSET (NIL T T T T) -8 NIL NIL NIL) (-1312 3419259 3420209 3420532 "WP" 3420968 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL NIL) (-1311 3418807 3419081 3419151 "WHILEAST" 3419211 T WHILEAST (NIL) -8 NIL NIL NIL) (-1310 3418219 3418524 3418618 "WHEREAST" 3418735 T WHEREAST (NIL) -8 NIL NIL NIL) (-1309 3417093 3417303 3417598 "WFFINTBS" 3418016 NIL WFFINTBS (NIL T T T T) -7 NIL NIL NIL) (-1308 3414961 3415424 3415886 "WEIER" 3416665 NIL WEIER (NIL T) -7 NIL NIL NIL) (-1307 3413885 3414443 3414485 "VSPACE" 3414621 NIL VSPACE (NIL T) -9 NIL 3414695 NIL) (-1306 3413717 3413750 3413841 "VSPACE-" 3413846 NIL VSPACE- (NIL T T) -8 NIL NIL NIL) (-1305 3413514 3413568 3413636 "VOID" 3413671 T VOID (NIL) -8 NIL NIL NIL) (-1304 3409782 3410577 3411314 "VIEWDEF" 3412799 T VIEWDEF (NIL) -7 NIL NIL NIL) (-1303 3398726 3401330 3403503 "VIEW3D" 3407631 T VIEW3D (NIL) -8 NIL NIL NIL) (-1302 3390743 3392637 3394216 "VIEW2D" 3397169 T VIEW2D (NIL) -8 NIL NIL NIL) (-1301 3388843 3389238 3389644 "VIEW" 3390359 T VIEW (NIL) -7 NIL NIL NIL) (-1300 3387396 3387679 3387997 "VECTOR2" 3388573 NIL VECTOR2 (NIL T T) -7 NIL NIL NIL) (-1299 3382302 3387166 3387258 "VECTOR" 3387339 NIL VECTOR (NIL T) -8 NIL NIL NIL) (-1298 3375247 3380006 3380049 "VECTCAT" 3381044 NIL VECTCAT (NIL T) -9 NIL 3381631 NIL) (-1297 3374189 3374515 3374905 "VECTCAT-" 3374910 NIL VECTCAT- (NIL T T) -8 NIL NIL NIL) (-1296 3373595 3373840 3373960 "VARIABLE" 3374104 NIL VARIABLE (NIL NIL) -8 NIL NIL NIL) (-1295 3373528 3373533 3373563 "UTYPE" 3373568 T UTYPE (NIL) -9 NIL NIL NIL) (-1294 3372336 3372512 3372774 "UTSODETL" 3373354 NIL UTSODETL (NIL T T T T) -7 NIL NIL NIL) (-1293 3369728 3370236 3370760 "UTSODE" 3371877 NIL UTSODE (NIL T T) -7 NIL NIL NIL) (-1292 3359738 3365661 3365704 "UTSCAT" 3366816 NIL UTSCAT (NIL T) -9 NIL 3367574 NIL) (-1291 3356864 3357808 3358797 "UTSCAT-" 3358802 NIL UTSCAT- (NIL T T) -8 NIL NIL NIL) (-1290 3356485 3356534 3356667 "UTS2" 3356815 NIL UTS2 (NIL T T T T) -7 NIL NIL NIL) (-1289 3347802 3354246 3354726 "UTS" 3356063 NIL UTS (NIL T NIL NIL) -8 NIL NIL NIL) (-1288 3341669 3344612 3344655 "URAGG" 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
diff --git a/src/share/algebra/operation.daase b/src/share/algebra/operation.daase
index 4bc1d678..011cf95e 100644
--- a/src/share/algebra/operation.daase
+++ b/src/share/algebra/operation.daase
@@ -1,634 +1,30 @@
-(733388 . 3509594075)
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(((*1 *2)
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(-5 *1 (-244 *3 *4 *5)) (-4 *3 (-245 *4 *5))))
@@ -654,187 +50,170 @@
((*1 *2 *1)
(-12 (-4 *2 (-13 (-871) (-376))) (-5 *1 (-1093 *2 *3))
(-4 *3 (-1275 *2)))))
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(((*1 *2 *3)
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+ (-12
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+ (-2 (|:| |polnum| (-803 *3)) (|:| |polden| *3) (|:| -2718 (-793))))
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((*1 *2 *1 *1)
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(-4 *1 (-1097 *3 *4 *5)))))
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((*1 *2 *2 *3 *4)
(-12 (-5 *2 (-663 (-1191))) (-5 *3 (-560)) (-5 *4 (-1191))
@@ -843,58 +222,34 @@
((*1 *1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-888))))
((*1 *2 *1)
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@@ -914,86 +269,97 @@
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- (-5 *3
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(((*1 *2 *2)
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@@ -1001,116 +367,66 @@
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@@ -1144,54 +460,139 @@
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@@ -1200,425 +601,255 @@
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@@ -3887,58 +3211,74 @@
((*1 *2 *1 *3)
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+ (-12 (-5 *3 (-1 (-391) (-391))) (-5 *4 (-391))
+ (-5 *2
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+ (|:| |success| (-114))))
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@@ -3950,226 +3290,39 @@
((*1 *2 *1)
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- (-5 *2
- (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3)))
- (-5 *1 (-1001 *5 *3)) (-4 *3 (-1275 *5)))))
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+ (-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)))))
+ ((*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)))))
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(((*1 *2 *3)
(|partial| -12 (-5 *3 (-51)) (-5 *1 (-52 *2)) (-4 *2 (-1249))))
((*1 *1 *2)
@@ -4245,26 +3398,26 @@
(-4 *1 (-1008 *3 *4 *5 *6))))
((*1 *2 *1) (|partial| -12 (-4 *1 (-1070 *2)) (-4 *2 (-1249))))
((*1 *1 *2)
- (|partial| -2179
+ (|partial| -2171
(-12 (-5 *2 (-976 *3))
- (-12 (-2361 (-4 *3 (-38 (-421 (-560)))))
- (-2361 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1209))))
+ (-12 (-2345 (-4 *3 (-38 (-421 (-560)))))
+ (-2345 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817))
(-4 *5 (-872)))
(-12 (-5 *2 (-976 *3))
- (-12 (-2361 (-4 *3 (-559))) (-2361 (-4 *3 (-38 (-421 (-560)))))
+ (-12 (-2345 (-4 *3 (-559))) (-2345 (-4 *3 (-38 (-421 (-560)))))
(-4 *3 (-38 (-560))) (-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817))
(-4 *5 (-872)))
(-12 (-5 *2 (-976 *3))
- (-12 (-2361 (-4 *3 (-1023 (-560)))) (-4 *3 (-38 (-421 (-560))))
+ (-12 (-2345 (-4 *3 (-1023 (-560)))) (-4 *3 (-38 (-421 (-560))))
(-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817))
(-4 *5 (-872)))))
((*1 *1 *2)
- (|partial| -2179
+ (|partial| -2171
(-12 (-5 *2 (-976 (-560))) (-4 *1 (-1097 *3 *4 *5))
- (-12 (-2361 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560)))
+ (-12 (-2345 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560)))
(-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)))
(-12 (-5 *2 (-976 (-560))) (-4 *1 (-1097 *3 *4 *5))
@@ -4274,18 +3427,47 @@
(|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)))))
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- (-4 *4 (-13 (-319) (-149))) (-4 *5 (-13 (-872) (-633 (-1209))))
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- (-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 *2) (-12 (-5 *2 (-1305)) (-5 *1 (-827)))))
(((*1 *2 *1)
- (-12 (-5 *2 (-663 (-2 (|:| |val| *3) (|:| -2453 *4))))
+ (-12 (-5 *2 (-663 (-2 (|:| |val| *3) (|:| -2514 *4))))
(-5 *1 (-1173 *3 *4)) (-4 *3 (-13 (-1133) (-34)))
(-4 *4 (-13 (-1133) (-34))))))
+(((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-31))))
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+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-1167))) (-5 *1 (-135))))
+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-1167))) (-5 *1 (-140))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-156))))
+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-1167))) (-5 *1 (-164))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-222))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-698))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-1051))))
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+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-1167))) (-5 *1 (-1128)))))
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+ (-4 *4 (-1133)))))
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+ (-5 *1 (-447 *3 *4)) (-4 *4 (-435 *3)))))
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+ (-12 (-5 *3 (-1209)) (-5 *2 (-549)) (-5 *1 (-550 *4))
+ (-4 *4 (-1249)))))
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+ (-12 (-5 *3 (-421 (-976 *4))) (-4 *4 (-319))
+ (-5 *2 (-421 (-419 (-976 *4)))) (-5 *1 (-1075 *4)))))
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+ (-12 (-5 *3 (-2 (|:| -3819 (-421 (-560))) (|:| -3830 (-421 (-560)))))
+ (-5 *2 (-421 (-560))) (-5 *1 (-1053 *4)) (-4 *4 (-1275 (-560))))))
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+ (-12 (-5 *3 (-793)) (-5 *1 (-805 *2)) (-4 *2 (-38 (-421 (-560))))
+ (-4 *2 (-175)))))
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+ (-12 (-5 *3 (-1191)) (-5 *5 (-711 (-229))) (-5 *6 (-711 (-560)))
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(((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-96))))
((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-109))))
((*1 *2 *1)
@@ -4299,99 +3481,171 @@
((*1 *2 *1) (-12 (-5 *2 (-1209)) (-5 *1 (-1108 *3)) (-14 *3 *2)))
((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-1148))))
((*1 *1 *1) (-5 *1 (-1209))))
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(((*1 *2 *1)
- (-12 (-4 *3 (-1081)) (-5 *2 (-1299 *3)) (-5 *1 (-734 *3 *4))
- (-4 *4 (-1275 *3)))))
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-(((*1 *1 *1 *1 *1) (-4 *1 (-559))))
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- ((*1 *2 *3)
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- ((*1 *2 *3 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-323)) (-5 *1 (-308))))
- ((*1 *2 *3 *4)
- (-12 (-5 *4 (-663 (-1191))) (-5 *3 (-1191)) (-5 *2 (-323))
- (-5 *1 (-308)))))
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- ((*1 *2 *2) (-12 (-5 *2 (-171 (-229))) (-5 *1 (-230))))
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- ((*1 *1 *1) (-4 *1 (-1171))))
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- (-5 *1 (-587 *4 *5)) (-4 *5 (-435 *4)))))
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-(((*1 *2 *3 *2)
- (-12
- (-5 *2
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- (-2 (|:| |lcmfij| *3) (|:| |totdeg| (-793)) (|:| |poli| *6)
- (|:| |polj| *6))))
- (-4 *3 (-817)) (-4 *6 (-980 *4 *3 *5)) (-4 *4 (-466)) (-4 *5 (-872))
- (-5 *1 (-464 *4 *3 *5 *6)))))
-(((*1 *2 *2 *2 *3)
- (-12 (-5 *2 (-663 (-560))) (-5 *3 (-711 (-560))) (-5 *1 (-1142)))))
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+ (-12 (-5 *3 (-663 (-663 (-663 *4)))) (-5 *2 (-663 (-663 *4)))
+ (-5 *1 (-1220 *4)) (-4 *4 (-872)))))
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+ (-12 (-5 *3 (-1191)) (-4 *4 (-13 (-319) (-149)))
+ (-4 *5 (-13 (-872) (-633 (-1209)))) (-4 *6 (-817))
+ (-5 *2
+ (-663
+ (-2 (|:| |eqzro| (-663 *7)) (|:| |neqzro| (-663 *7))
+ (|:| |wcond| (-663 (-976 *4)))
+ (|:| |bsoln|
+ (-2 (|:| |partsol| (-1299 (-421 (-976 *4))))
+ (|:| -4238 (-663 (-1299 (-421 (-976 *4))))))))))
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(((*1 *1 *2) (-12 (-5 *2 (-949)) (-4 *1 (-381))))
((*1 *2 *3 *3)
(-12 (-5 *3 (-949)) (-5 *2 (-1299 *4)) (-5 *1 (-542 *4))
@@ -4399,45 +3653,17 @@
((*1 *2 *1)
(-12 (-4 *2 (-872)) (-5 *1 (-735 *2 *3 *4)) (-4 *3 (-1133))
(-14 *4
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- ((*1 *1 *1 *2) (-12 (-4 *1 (-990)) (-5 *2 (-1209))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1124 *1)) (-4 *1 (-990)))))
+ (-1 (-114) (-2 (|:| -3836 *2) (|:| -3562 *3))
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(((*1 *2 *3)
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-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235)))))
+ (-12 (-5 *3 (-1299 *5)) (-4 *5 (-13 (-1081) (-660 *4)))
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(((*1 *1 *1)
- (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1081)))))
-(((*1 *1 *1 *1) (-5 *1 (-888))))
-(((*1 *1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-591))))
- ((*1 *1 *2) (-12 (-5 *2 (-402)) (-5 *1 (-591)))))
+ (-12 (-5 *1 (-1197 *2 *3)) (-14 *2 (-949)) (-4 *3 (-1081)))))
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(((*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))))
@@ -4446,48 +3672,71 @@
((*1 *2 *1)
(-12 (-4 *2 (-13 (-871) (-376))) (-5 *1 (-1093 *2 *3))
(-4 *3 (-1275 *2)))))
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((*1 *1 *1) (-12 (-5 *1 (-699 *2)) (-4 *2 (-872))))
@@ -4496,108 +3745,234 @@
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+ (-12 (-5 *3 (-663 (-560))) (-5 *2 (-711 (-560))) (-5 *1 (-1142)))))
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+ (-12
+ (-5 *3
+ (-663
+ (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2)
+ (|:| |xpnt| (-560)))))
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+ (-5 *3
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+ (-12 (-4 *1 (-355 *3 *4 *5)) (-4 *3 (-1254)) (-4 *4 (-1275 *3))
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(((*1 *2 *3 *3)
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- (-12 (-5 *3 (-1191)) (-5 *4 (-560)) (-5 *5 (-711 (-171 (-229))))
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+ (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067))
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+ (-12 (-5 *2 (-973 *3)) (-4 *3 (-13 (-376) (-1235) (-1034)))
+ (-5 *1 (-179 *3)))))
(((*1 *2 *2)
(-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2))
(-4 *2 (-13 (-435 *3) (-1235))))))
(((*1 *2 *1)
- (-12 (-4 *1 (-618 *2 *3)) (-4 *3 (-1249)) (-4 *2 (-1133))
- (-4 *2 (-872)))))
-(((*1 *1 *1)
- (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1081)))))
-(((*1 *1) (-5 *1 (-625))))
-(((*1 *2 *3)
- (-12 (-4 *4 (-1081))
- (-4 *2 (-13 (-418) (-1070 *4) (-376) (-1235) (-296)))
- (-5 *1 (-457 *4 *3 *2)) (-4 *3 (-1275 *4)))))
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- ((*1 *2 *1) (-12 (-5 *1 (-343 *2)) (-4 *2 (-872))))
- ((*1 *2 *1) (-12 (-5 *2 (-663 *3)) (-5 *1 (-630 *3)) (-4 *3 (-1133)))))
-(((*1 *2)
- (-12 (-4 *3 (-13 (-571) (-1070 (-560)))) (-5 *2 (-1305))
- (-5 *1 (-447 *3 *4)) (-4 *4 (-435 *3)))))
-(((*1 *1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-888)))))
-(((*1 *2 *3 *3 *4 *4 *4 *3)
- (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067))
- (-5 *1 (-773)))))
-(((*1 *2 *2)
- (-12 (-5 *2 (-1187 *3)) (-4 *3 (-1081)) (-5 *1 (-1193 *3)))))
-(((*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) (|partial| -12 (-5 *2 (-1203 *1)) (-4 *1 (-1044)))))
-(((*1 *2 *1 *3 *4)
- (-12 (-5 *3 (-1191)) (-5 *4 (-1152)) (-5 *2 (-114)) (-5 *1 (-846)))))
+ (-12 (-4 *2 (-1133)) (-5 *1 (-994 *2 *3)) (-4 *3 (-1133)))))
+(((*1 *2 *1) (-12 (-4 *1 (-403)) (-5 *2 (-114)))))
+(((*1 *2 *2 *1) (-12 (-4 *1 (-1153 *2)) (-4 *2 (-1249)))))
+(((*1 *2 *3 *1)
+ (-12 (-5 *3 (-932 *4)) (-4 *4 (-1133)) (-5 *2 (-663 (-793)))
+ (-5 *1 (-935 *4)))))
(((*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))
@@ -5303,11 +4726,11 @@
(-3
(|:| |nia|
(-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
+ (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
(|:| |relerr| (-229))))
(|:| |mdnia|
(-2 (|:| |fn| (-326 (-229)))
- (|:| -3846 (-663 (-1121 (-866 (-229)))))
+ (|:| -1623 (-663 (-1121 (-866 (-229)))))
(|:| |abserr| (-229)) (|:| |relerr| (-229))))))
(-5 *1 (-791))))
((*1 *2 *1)
@@ -5323,13 +4746,13 @@
(-5 *2
(-3
(|:| |noa|
- (-2 (|:| |fn| (-326 (-229))) (|:| -3799 (-663 (-229)))
+ (-2 (|:| |fn| (-326 (-229))) (|:| -1912 (-663 (-229)))
(|:| |lb| (-663 (-866 (-229))))
(|:| |cf| (-663 (-326 (-229))))
(|:| |ub| (-663 (-866 (-229))))))
(|:| |lsa|
(-2 (|:| |lfn| (-663 (-326 (-229))))
- (|:| -3799 (-663 (-229)))))))
+ (|:| -1912 (-663 (-229)))))))
(-5 *1 (-865))))
((*1 *2 *1)
(-12
@@ -5348,26 +4771,26 @@
(-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)
- (-2179
+ (-2171
(-12 (-5 *2 (-976 *3))
- (-12 (-2361 (-4 *3 (-38 (-421 (-560)))))
- (-2361 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1209))))
+ (-12 (-2345 (-4 *3 (-38 (-421 (-560)))))
+ (-2345 (-4 *3 (-38 (-560)))) (-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817))
(-4 *5 (-872)))
(-12 (-5 *2 (-976 *3))
- (-12 (-2361 (-4 *3 (-559))) (-2361 (-4 *3 (-38 (-421 (-560)))))
+ (-12 (-2345 (-4 *3 (-559))) (-2345 (-4 *3 (-38 (-421 (-560)))))
(-4 *3 (-38 (-560))) (-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817))
(-4 *5 (-872)))
(-12 (-5 *2 (-976 *3))
- (-12 (-2361 (-4 *3 (-1023 (-560)))) (-4 *3 (-38 (-421 (-560))))
+ (-12 (-2345 (-4 *3 (-1023 (-560)))) (-4 *3 (-38 (-421 (-560))))
(-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *1 (-1097 *3 *4 *5)) (-4 *4 (-817))
(-4 *5 (-872)))))
((*1 *1 *2)
- (-2179
+ (-2171
(-12 (-5 *2 (-976 (-560))) (-4 *1 (-1097 *3 *4 *5))
- (-12 (-2361 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560)))
+ (-12 (-2345 (-4 *3 (-38 (-421 (-560))))) (-4 *3 (-38 (-560)))
(-4 *5 (-633 (-1209))))
(-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)))
(-12 (-5 *2 (-976 (-560))) (-4 *1 (-1097 *3 *4 *5))
@@ -5377,243 +4800,229 @@
(-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 *2) (-12 (-5 *2 (-560)) (-5 *1 (-957)))))
-(((*1 *2 *3)
- (-12 (-4 *1 (-923))
- (-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 (-1067)))))
-(((*1 *2 *1 *3)
- (-12 (-5 *3 (-793)) (-5 *2 (-1268 *5 *4)) (-5 *1 (-1207 *4 *5 *6))
- (-4 *4 (-1081)) (-14 *5 (-1209)) (-14 *6 *4)))
- ((*1 *2 *1 *3)
- (-12 (-5 *3 (-793)) (-5 *2 (-1268 *5 *4)) (-5 *1 (-1289 *4 *5 *6))
- (-4 *4 (-1081)) (-14 *5 (-1209)) (-14 *6 *4))))
-(((*1 *1 *1 *1) (-5 *1 (-888))))
-(((*1 *2 *3 *4 *4 *5 *3)
- (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *5 (-229))
- (-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 *1) (-5 *1 (-848))))
-(((*1 *2 *1) (-12 (-5 *2 (-1250)) (-5 *1 (-183))))
- ((*1 *2 *1) (-12 (-5 *2 (-1250)) (-5 *1 (-703))))
- ((*1 *2 *1) (-12 (-5 *2 (-1250)) (-5 *1 (-1002))))
- ((*1 *2 *1) (-12 (-5 *2 (-1250)) (-5 *1 (-1105))))
- ((*1 *2 *1) (-12 (-5 *2 (-1214)) (-5 *1 (-1147)))))
(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847)))))
-(((*1 *2 *1)
- (|partial| -12 (-4 *3 (-13 (-1070 (-560)) (-660 (-560)) (-466)))
- (-5 *2 (-866 *4)) (-5 *1 (-325 *3 *4 *5 *6))
- (-4 *4 (-13 (-27) (-1235) (-435 *3))) (-14 *5 (-1209))
- (-14 *6 *4)))
+(((*1 *2 *1) (-12 (-4 *1 (-34)) (-5 *2 (-114))))
((*1 *2 *1)
- (|partial| -12 (-4 *3 (-13 (-1070 (-560)) (-660 (-560)) (-466)))
- (-5 *2 (-866 *4)) (-5 *1 (-1286 *3 *4 *5 *6))
- (-4 *4 (-13 (-27) (-1235) (-435 *3))) (-14 *5 (-1209))
- (-14 *6 *4))))
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235)))))
-(((*1 *2 *3)
- (-12
- (-5 *3
- (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
- (|:| |relerr| (-229))))
- (-5 *2
- (-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")))
- (-5 *1 (-195)))))
-(((*1 *1 *2 *1)
- (-12 (-5 *1 (-671 *2 *3 *4)) (-4 *2 (-1133)) (-4 *3 (-23))
- (-14 *4 *3))))
-(((*1 *2 *3)
- (-12
- (-5 *3
- (-2 (|:| |lcmfij| *5) (|:| |totdeg| (-793)) (|:| |poli| *2)
- (|:| |polj| *2)))
- (-4 *5 (-817)) (-4 *2 (-980 *4 *5 *6)) (-5 *1 (-464 *4 *5 *6 *2))
- (-4 *4 (-466)) (-4 *6 (-872)))))
-(((*1 *2 *3 *4 *5 *6)
- (-12 (-5 *4 (-114)) (-5 *5 (-1129 (-793))) (-5 *6 (-793))
- (-5 *2
- (-2 (|:| |contp| (-560))
- (|:| -4389 (-663 (-2 (|:| |irr| *3) (|:| -4021 (-560)))))))
- (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560))))))
-(((*1 *2 *3 *4 *5)
- (-12 (-5 *5 (-560)) (-4 *6 (-817)) (-4 *7 (-872)) (-4 *8 (-319))
- (-4 *9 (-980 *8 *6 *7))
- (-5 *2 (-2 (|:| -3625 (-1203 *9)) (|:| |polval| (-1203 *8))))
- (-5 *1 (-764 *6 *7 *8 *9)) (-5 *3 (-1203 *9)) (-5 *4 (-1203 *8)))))
-(((*1 *2 *3 *4 *4)
- (-12 (-5 *3 (-1209)) (-5 *4 (-976 (-560))) (-5 *2 (-342))
- (-5 *1 (-344))))
+ (-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)
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+ (-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)))))
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+ (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-670 *3)) (-4 *3 (-1081))
+ (-5 *1 (-736 *3 *4))))
+ ((*1 *1 *1 *2)
+ (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1081)) (-5 *1 (-858 *3)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-1209)) (-5 *2 (-1 (-229) (-229))) (-5 *1 (-725 *3))
+ (-4 *3 (-633 (-549)))))
((*1 *2 *3 *4 *4)
- (-12 (-5 *3 (-1209)) (-5 *4 (-1124 (-976 (-560)))) (-5 *2 (-342))
- (-5 *1 (-344))))
- ((*1 *1 *2 *2 *2)
- (-12 (-5 *2 (-793)) (-5 *1 (-697 *3)) (-4 *3 (-1081))
- (-4 *3 (-1133)))))
+ (-12 (-5 *4 (-1209)) (-5 *2 (-1 (-229) (-229) (-229)))
+ (-5 *1 (-725 *3)) (-4 *3 (-633 (-549))))))
+(((*1 *2 *2)
+ (|partial| -12 (-5 *2 (-663 (-976 *3))) (-4 *3 (-466))
+ (-5 *1 (-373 *3 *4)) (-14 *4 (-663 (-1209)))))
+ ((*1 *2 *2)
+ (|partial| -12 (-5 *2 (-663 (-802 *3 (-889 *4)))) (-4 *3 (-466))
+ (-14 *4 (-663 (-1209))) (-5 *1 (-647 *3 *4)))))
(((*1 *2 *3 *3)
- (-12 (-4 *4 (-571))
- (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -2058 *4)))
- (-5 *1 (-1001 *4 *3)) (-4 *3 (-1275 *4)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-560)) (-4 *4 (-1275 (-421 *3))) (-5 *2 (-949))
- (-5 *1 (-943 *4 *5)) (-4 *5 (-1275 (-421 *4))))))
-(((*1 *2 *1 *3 *3)
- (-12 (-5 *3 (-949)) (-5 *2 (-1305)) (-5 *1 (-1302))))
- ((*1 *2 *1 *3 *3)
- (-12 (-5 *3 (-949)) (-5 *2 (-1305)) (-5 *1 (-1303)))))
+ (-12 (-5 *3 (-1299 *5)) (-4 *5 (-816)) (-5 *2 (-114))
+ (-5 *1 (-869 *4 *5)) (-14 *4 (-793)))))
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1152)) (-5 *2 (-114)) (-5 *1 (-846)))))
+(((*1 *2 *3 *2)
+ (-12 (-5 *3 (-421 (-560)))
+ (-4 *4 (-13 (-571) (-1070 (-560)) (-660 (-560))))
+ (-5 *1 (-288 *4 *2)) (-4 *2 (-13 (-27) (-1235) (-435 *4))))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-1 (-663 *5) *6))
+ (-4 *5 (-13 (-376) (-149) (-1070 (-421 (-560))))) (-4 *6 (-1275 *5))
+ (-5 *2 (-663 (-2 (|:| |poly| *6) (|:| -3687 *3))))
+ (-5 *1 (-833 *5 *6 *3 *7)) (-4 *3 (-680 *6))
+ (-4 *7 (-680 (-421 *6)))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *4 (-1 (-663 *5) *6))
+ (-4 *5 (-13 (-376) (-149) (-1070 (-560)) (-1070 (-421 (-560)))))
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@@ -5623,530 +5032,367 @@
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(((*1 *1 *1) (-4 *1 (-35)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -6641,78 +6154,85 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
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(((*1 *1 *1) (-4 *1 (-35)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -6729,34 +6249,129 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
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(-5 *2
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+ (|:| |explanations| (-663 (-1191)))))
+ (-5 *1 (-925)))))
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+ (-5 *2 (-1067)) (-5 *1 (-780)))))
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+ (-12 (-5 *2 (-421 (-976 *3))) (-5 *1 (-467 *3 *4 *5 *6))
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+ (-12 (-4 *3 (-1081)) (-5 *1 (-458 *3 *2)) (-4 *2 (-1275 *3)))))
(((*1 *2 *3 *3)
- (-12 (-4 *4 (-466)) (-4 *3 (-817)) (-4 *5 (-872)) (-5 *2 (-114))
- (-5 *1 (-464 *4 *3 *5 *6)) (-4 *6 (-980 *4 *3 *5)))))
-(((*1 *1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-131)))))
+ (-12 (-4 *4 (-1081)) (-4 *2 (-708 *4 *5 *6))
+ (-5 *1 (-104 *4 *3 *2 *5 *6)) (-4 *3 (-1275 *4)) (-4 *5 (-385 *4))
+ (-4 *6 (-385 *4)))))
+(((*1 *1 *2) (-12 (-5 *1 (-713 *2)) (-4 *2 (-632 (-888))))))
(((*1 *2)
- (-12 (-5 *2 (-1305)) (-5 *1 (-1227 *3 *4)) (-4 *3 (-1133))
- (-4 *4 (-1133)))))
-(((*1 *2 *2) (-12 (-5 *2 (-560)) (-5 *1 (-576)))))
+ (-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))))))
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+ (-12 (-5 *3 (-1203 *9)) (-5 *4 (-663 *7)) (-4 *7 (-872))
+ (-4 *9 (-980 *8 *6 *7)) (-4 *6 (-817)) (-4 *8 (-319))
+ (-5 *2 (-663 (-793))) (-5 *1 (-764 *6 *7 *8 *9)) (-5 *5 (-793)))))
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(((*1 *1 *1) (-4 *1 (-35)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -6773,40 +6388,60 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-596)))))
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- (-12
- (-5 *3
- (-663 (-2 (|:| -3734 (-421 (-560))) (|:| -3744 (-421 (-560))))))
- (-5 *2 (-663 (-229))) (-5 *1 (-315)))))
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- (-12 (-4 *5 (-466)) (-4 *6 (-817)) (-4 *7 (-872))
- (-4 *3 (-1097 *5 *6 *7))
- (-5 *2 (-663 (-2 (|:| |val| (-114)) (|:| -2453 *4))))
- (-5 *1 (-1140 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3)))))
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- ((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-866 *3)) (-4 *3 (-1133)))))
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+ (|partial| -12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))))
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+ (-5 *5 (-1 (-914 *6 *8) *8 (-916 *6) (-914 *6 *8))) (-4 *6 (-1133))
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+ (-4 *5 (-385 *3)) (-5 *2 (-114))))
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(((*1 *1 *2 *2)
(-12
(-5 *2
- (-3 (|:| I (-326 (-560))) (|:| -3944 (-326 (-391)))
+ (-3 (|:| I (-326 (-560))) (|:| -3969 (-326 (-391)))
(|:| CF (-326 (-171 (-391)))) (|:| |switch| (-1208))))
(-5 *1 (-1208)))))
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- ((*1 *1 *1 *2)
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- ((*1 *1 *1) (-12 (-4 *1 (-1318 *2)) (-4 *2 (-376)) (-4 *2 (-381)))))
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- ((*1 *2 *3 *2) (-12 (-5 *2 (-391)) (-5 *3 (-1191)) (-5 *1 (-97)))))
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+ (-12 (-5 *3 (-1299 *4)) (-4 *4 (-13 (-1081) (-660 (-560))))
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+ (-12 (-5 *2 (-1299 *3)) (-4 *3 (-1275 *4)) (-4 *4 (-1254))
+ (-4 *1 (-355 *4 *3 *5)) (-4 *5 (-1275 (-421 *3)))))
+ ((*1 *1 *2 *3)
+ (-12 (-5 *2 (-1299 *4)) (-5 *3 (-1299 *1)) (-4 *4 (-175))
+ (-4 *1 (-380 *4))))
+ ((*1 *1 *2 *3)
+ (-12 (-5 *2 (-1299 *4)) (-5 *3 (-1299 *1)) (-4 *4 (-175))
+ (-4 *1 (-383 *4 *5)) (-4 *5 (-1275 *4))))
+ ((*1 *1 *2)
+ (-12 (-5 *2 (-1299 *3)) (-4 *3 (-175)) (-4 *1 (-424 *3 *4))
+ (-4 *4 (-1275 *3))))
+ ((*1 *1 *2) (-12 (-5 *2 (-1299 *3)) (-4 *3 (-175)) (-4 *1 (-432 *3)))))
+(((*1 *2 *3)
+ (-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) (-12 (-5 *2 (-114)) (-5 *1 (-481))))
+ ((*1 *2 *2) (-12 (-5 *2 (-114)) (-5 *1 (-481)))))
(((*1 *1 *1) (-4 *1 (-35)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -6823,72 +6458,70 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*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 (|:| -3608 *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)))))
+(((*1 *1 *2)
+ (-12 (-5 *2 (-663 (-663 *3))) (-4 *3 (-1133)) (-5 *1 (-1222 *3)))))
+(((*1 *1) (-5 *1 (-611))))
+(((*1 *2 *1 *3) (-12 (-4 *1 (-34)) (-5 *3 (-793)) (-5 *2 (-114))))
+ ((*1 *2 *3 *3)
+ (|partial| -12 (-5 *2 (-114)) (-5 *1 (-1251 *3)) (-4 *3 (-1133))))
+ ((*1 *2 *3 *3 *4)
+ (-12 (-5 *4 (-1 (-114) *3 *3)) (-4 *3 (-1133)) (-5 *2 (-114))
+ (-5 *1 (-1251 *3)))))
+(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448))))
((*1 *2 *3)
- (-12 (-4 *4 (-571)) (-4 *5 (-1023 *4))
- (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-1270 *4 *5 *3))
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- (-5 *2 (-2 (|:| -2322 *3) (|:| |coeff| *3))) (-5 *1 (-572 *5 *3))
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- (-5 *2 (-1305)) (-5 *1 (-482)))))
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(((*1 *1 *2 *2)
(-12
(-5 *2
- (-3 (|:| I (-326 (-560))) (|:| -3944 (-326 (-391)))
+ (-3 (|:| I (-326 (-560))) (|:| -3969 (-326 (-391)))
(|:| CF (-326 (-171 (-391)))) (|:| |switch| (-1208))))
(-5 *1 (-1208)))))
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- (-5 *1 (-769)))))
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+ ((*1 *1 *2) (-12 (-5 *2 (-326 (-391))) (-5 *1 (-342))))
+ ((*1 *1 *2) (-12 (-5 *2 (-326 (-716))) (-5 *1 (-342))))
+ ((*1 *1 *2) (-12 (-5 *2 (-326 (-723))) (-5 *1 (-342))))
+ ((*1 *1 *2) (-12 (-5 *2 (-326 (-721))) (-5 *1 (-342))))
+ ((*1 *1) (-5 *1 (-342))))
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+ ((*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 -2350 ($ $ $)))))))
+ ((*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 *2 *2 *3)
+ (-12 (-4 *4 (-1133)) (-4 *2 (-928 *4)) (-5 *1 (-714 *4 *2 *5 *3))
+ (-4 *5 (-385 *2)) (-4 *3 (-13 (-385 *4) (-10 -7 (-6 -4510)))))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -6905,58 +6538,56 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *1) (-5 *1 (-622))))
+(((*1 *2 *2)
+ (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
+ (-4 *2 (-13 (-435 *3) (-1034))))))
+(((*1 *1 *1 *2 *3)
+ (-12 (-5 *2 (-1209)) (-5 *3 (-391)) (-5 *1 (-1095)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-932 (-560))) (-5 *4 (-560)) (-5 *2 (-711 *4))
+ (-5 *1 (-1061 *5)) (-4 *5 (-1081))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-663 (-560))) (-5 *2 (-711 (-560))) (-5 *1 (-1061 *4))
+ (-4 *4 (-1081))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-663 (-932 (-560)))) (-5 *4 (-560))
+ (-5 *2 (-663 (-711 *4))) (-5 *1 (-1061 *5)) (-4 *5 (-1081))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-663 (-663 (-560)))) (-5 *2 (-663 (-711 (-560))))
+ (-5 *1 (-1061 *4)) (-4 *4 (-1081)))))
+(((*1 *2 *3)
+ (-12 (-4 *4 (-1275 (-421 *2))) (-5 *2 (-560)) (-5 *1 (-943 *4 *3))
+ (-4 *3 (-1275 (-421 *4))))))
(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-1209))) (-5 *1 (-549)))))
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- (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-114))
- (-5 *1 (-1020 *4 *5 *6 *7 *8)) (-4 *8 (-1103 *4 *5 *6 *7))))
- ((*1 *2 *3 *3)
- (-12 (-5 *3 (-663 *7)) (-4 *7 (-1097 *4 *5 *6)) (-4 *4 (-466))
- (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-114))
- (-5 *1 (-1139 *4 *5 *6 *7 *8)) (-4 *8 (-1103 *4 *5 *6 *7)))))
-(((*1 *2 *2 *2)
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+ (-4 *2 (-872)))))
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(((*1 *1 *2 *2)
(-12
(-5 *2
- (-3 (|:| I (-326 (-560))) (|:| -3944 (-326 (-391)))
+ (-3 (|:| I (-326 (-560))) (|:| -3969 (-326 (-391)))
(|:| CF (-326 (-171 (-391)))) (|:| |switch| (-1208))))
(-5 *1 (-1208)))))
-(((*1 *2 *3)
- (-12 (-5 *2 (-2 (|:| -2998 (-560)) (|:| -4389 (-663 *3))))
- (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560))))))
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- (-5 *2 (-114))))
- ((*1 *2 *1)
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- (-5 *2 (-114))))
- ((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-609 *3)) (-4 *3 (-1081))))
- ((*1 *2 *1)
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- (-4 *4 (-1275 *3))))
- ((*1 *2 *1)
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- (-4 *4 (-748))))
- ((*1 *2 *1)
- (-12 (-4 *1 (-1319 *3 *4)) (-4 *3 (-872)) (-4 *4 (-1081))
- (-5 *2 (-114)))))
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- (-12 (-4 *4 (-1081))
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- (-5 *1 (-457 *4 *3 *2)) (-4 *3 (-1275 *4)))))
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- (-12 (-5 *2 (-663 (-976 *4))) (-5 *3 (-663 (-1209))) (-4 *4 (-466))
- (-5 *1 (-948 *4)))))
-(((*1 *2 *2 *3)
- (-12 (-5 *3 (-793)) (-4 *4 (-376)) (-5 *1 (-924 *2 *4))
- (-4 *2 (-1275 *4)))))
+(((*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 *2 *1) (-12 (-5 *2 (-560)) (-5 *1 (-159))))
+ ((*1 *2 *1) (-12 (-5 *2 (-159)) (-5 *1 (-899))))
+ ((*1 *2 *3)
+ (-12 (-5 *3 (-973 *2)) (-5 *1 (-1014 *2)) (-4 *2 (-1081)))))
+(((*1 *2 *3 *3)
+ (-12 (-4 *4 (-466)) (-4 *4 (-571))
+ (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *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)))))
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(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -6973,64 +6604,66 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2 *3 *2)
- (-12 (-4 *1 (-809)) (-5 *2 (-1067))
- (-5 *3
- (-2 (|:| |fn| (-326 (-229)))
- (|:| -3846 (-663 (-1121 (-866 (-229))))) (|:| |abserr| (-229))
- (|:| |relerr| (-229))))))
- ((*1 *2 *3 *2)
- (-12 (-4 *1 (-809)) (-5 *2 (-1067))
- (-5 *3
- (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
- (|:| |relerr| (-229)))))))
(((*1 *2 *3)
- (-12 (-5 *3 (-1299 (-663 (-2 (|:| -3706 *4) (|:| -3757 (-1152))))))
- (-4 *4 (-363)) (-5 *2 (-793)) (-5 *1 (-360 *4))))
- ((*1 *2)
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- (-14 *4 (-949))))
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- (-12 (-5 *2 (-793)) (-5 *1 (-366 *3 *4)) (-4 *3 (-363))
- (-14 *4
- (-3 (-1203 *3)
- (-1299 (-663 (-2 (|:| -3706 *3) (|:| -3757 (-1152)))))))))
- ((*1 *2)
- (-12 (-5 *2 (-793)) (-5 *1 (-367 *3 *4)) (-4 *3 (-363))
- (-14 *4 (-949)))))
+ (-12
+ (-5 *3
+ (-518 (-421 (-560)) (-246 *5 (-793)) (-889 *4)
+ (-255 *4 (-421 (-560)))))
+ (-14 *4 (-663 (-1209))) (-14 *5 (-793)) (-5 *2 (-114))
+ (-5 *1 (-519 *4 *5)))))
(((*1 *2 *2)
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((*1 *2 *1)
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+ (-12
+ (-5 *2
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+ (-4 *1 (-355 *4 *3 *5)) (-4 *5 (-1275 (-421 *3))))))
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+ (-12
+ (-5 *2
+ (-3 (|:| I (-326 (-560))) (|:| -3969 (-326 (-391)))
+ (|:| CF (-326 (-171 (-391)))) (|:| |switch| (-1208))))
+ (-5 *1 (-1208)))))
(((*1 *2 *2)
- (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2))
- (-4 *2 (-13 (-435 *3) (-1235))))))
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+ ((*1 *1 *1) (-12 (-4 *1 (-1081)) (-4 *1 (-310))))
+ ((*1 *2) (-12 (-4 *1 (-341 *3)) (-4 *3 (-376)) (-5 *2 (-1203 *3))))
+ ((*1 *2) (-12 (-4 *1 (-746 *3 *2)) (-4 *3 (-175)) (-4 *2 (-1275 *3))))
+ ((*1 *2 *1)
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(((*1 *2 *1)
- (-12 (-5 *2 (-663 (-560))) (-5 *1 (-1036 *3)) (-14 *3 (-560)))))
-(((*1 *2 *3 *4 *5 *5 *6)
- (-12 (-5 *4 (-560)) (-5 *6 (-1 (-1305) (-1299 *5) (-1299 *5) (-391)))
- (-5 *3 (-1299 (-391))) (-5 *5 (-391)) (-5 *2 (-1305))
- (-5 *1 (-810))))
- ((*1 *2 *3 *4 *5 *5 *6 *3 *3 *3 *3)
- (-12 (-5 *4 (-560)) (-5 *6 (-1 (-1305) (-1299 *5) (-1299 *5) (-391)))
- (-5 *3 (-1299 (-391))) (-5 *5 (-391)) (-5 *2 (-1305))
- (-5 *1 (-810)))))
+ (-12 (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) (-5 *2 (-663 *1))
+ (-4 *1 (-1097 *3 *4 *5)))))
+(((*1 *1 *2) (-12 (-5 *2 (-159)) (-5 *1 (-899)))))
+(((*1 *1 *1)
+ (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817))
+ (-4 *4 (-872)) (-4 *2 (-466)))))
+(((*1 *2 *3 *1)
+ (-12 (-5 *3 (-520)) (-5 *2 (-663 (-995))) (-5 *1 (-303)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7053,73 +6686,50 @@
((*1 *1 *1)
(-12 (-5 *1 (-671 *2 *3 *4)) (-4 *2 (-1133)) (-4 *3 (-23))
(-14 *4 *3))))
-(((*1 *2 *3) (-12 (-5 *2 (-419 *3)) (-5 *1 (-573 *3)) (-4 *3 (-559)))))
+(((*1 *1) (-5 *1 (-1117))))
+(((*1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-955)))))
(((*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 (-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 *1) (-5 *1 (-623))))
-(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-888))))
+ (-12 (-4 *4 (-1081))
+ (-4 *2 (-13 (-418) (-1070 *4) (-376) (-1235) (-296)))
+ (-5 *1 (-457 *4 *3 *2)) (-4 *3 (-1275 *4))))
+ ((*1 *1 *1) (-4 *1 (-559)))
+ ((*1 *2 *1) (-12 (-5 *2 (-949)) (-5 *1 (-694 *3)) (-4 *3 (-872))))
+ ((*1 *2 *1) (-12 (-5 *2 (-949)) (-5 *1 (-699 *3)) (-4 *3 (-872))))
+ ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-843 *3)) (-4 *3 (-872))))
+ ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-919 *3)) (-4 *3 (-872))))
+ ((*1 *2 *1) (-12 (-4 *1 (-1027 *3)) (-4 *3 (-1249)) (-5 *2 (-793))))
+ ((*1 *2 *1) (-12 (-5 *2 (-793)) (-5 *1 (-1247 *3)) (-4 *3 (-1249))))
((*1 *2 *1)
- (-12
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- (|:| |presup| (-663 (-888))) (|:| -3416 (-663 (-888)))
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- (-5 *1 (-1209)))))
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(((*1 *1 *1 *2)
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- ((*1 *1 *1 *2)
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- (-4 *2 (-1249)))))
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- (-5 *1 (-1104 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3)))))
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- (-5 *1 (-798 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3)))))
+ (-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 *7)) (-4 *3 (-872))
+ (-4 *7 (-980 *2 *4 (-889 *5))))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-793)) (-4 *5 (-1081)) (-4 *2 (-1275 *5))
+ (-5 *1 (-1294 *5 *2 *6 *3)) (-4 *6 (-680 *2)) (-4 *3 (-1292 *5)))))
+(((*1 *1 *2 *3)
+ (-12 (-5 *3 (-663 (-1209))) (-5 *2 (-1209)) (-5 *1 (-342)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7140,78 +6750,42 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
(((*1 *2 *3)
- (-12 (-5 *3 (-949))
- (-5 *2
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- (-5 *1 (-360 *4)) (-4 *4 (-363)))))
-(((*1 *2 *3 *4 *4)
- (-12 (-5 *4 (-114)) (-4 *5 (-466)) (-4 *6 (-817)) (-4 *7 (-872))
- (-4 *8 (-1097 *5 *6 *7))
- (-5 *2
- (-2 (|:| |val| (-663 *8))
- (|:| |towers| (-663 (-1059 *5 *6 *7 *8)))))
- (-5 *1 (-1059 *5 *6 *7 *8)) (-5 *3 (-663 *8))))
- ((*1 *2 *3 *4 *4)
- (-12 (-5 *4 (-114)) (-4 *5 (-466)) (-4 *6 (-817)) (-4 *7 (-872))
- (-4 *8 (-1097 *5 *6 *7))
- (-5 *2
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- (|:| |towers| (-663 (-1178 *5 *6 *7 *8)))))
- (-5 *1 (-1178 *5 *6 *7 *8)) (-5 *3 (-663 *8)))))
-(((*1 *1 *2 *2 *2 *2) (-12 (-5 *1 (-740 *2)) (-4 *2 (-376)))))
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(((*1 *2 *3)
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(((*1 *2 *3)
- (-12 (-5 *3 (-663 *4)) (-4 *4 (-871)) (-4 *4 (-376)) (-5 *2 (-793))
- (-5 *1 (-975 *4 *5)) (-4 *5 (-1275 *4)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-663 (-711 *5))) (-4 *5 (-319)) (-4 *5 (-1081))
- (-5 *2 (-1299 (-1299 *5))) (-5 *1 (-1062 *5)) (-5 *4 (-1299 *5)))))
-(((*1 *1 *1) (-5 *1 (-888)))
- ((*1 *2 *1)
- (-12 (-4 *1 (-1136 *2 *3 *4 *5 *6)) (-4 *3 (-1133)) (-4 *4 (-1133))
- (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *2 (-1133))))
- ((*1 *1 *2) (-12 (-5 *2 (-229)) (-5 *1 (-1191))))
- ((*1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-1191))))
- ((*1 *2 *1) (-12 (-5 *2 (-1191)) (-5 *1 (-1209)))))
+ (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-560))
+ (-5 *1 (-464 *4 *5 *6 *3)) (-4 *3 (-980 *4 *5 *6)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7231,31 +6805,51 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-781)))))
-(((*1 *2 *1) (-12 (-5 *2 (-713 *3)) (-5 *1 (-996 *3)) (-4 *3 (-1133)))))
-(((*1 *1 *1 *1) (-12 (-4 *1 (-877 *2)) (-4 *2 (-1081)) (-4 *2 (-376)))))
-(((*1 *2 *3 *2) (-12 (-5 *3 (-793)) (-5 *1 (-881 *2)) (-4 *2 (-175))))
- ((*1 *2 *3)
- (-12 (-5 *2 (-1203 (-560))) (-5 *1 (-972)) (-5 *3 (-560)))))
-(((*1 *2 *1) (-12 (-4 *1 (-380 *2)) (-4 *2 (-175)))))
+(((*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 (-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))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780)))))
-(((*1 *2)
- (-12 (-4 *4 (-1254)) (-4 *5 (-1275 *4)) (-4 *6 (-1275 (-421 *5)))
- (-5 *2 (-114)) (-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 (-114)))))
-(((*1 *1) (-5 *1 (-450))))
-(((*1 *1 *2 *3)
- (-12 (-5 *3 (-663 (-1209))) (-5 *2 (-1209)) (-5 *1 (-342)))))
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5)
- (-12 (-5 *3 (-1 (-391) (-391))) (-5 *4 (-391))
- (-5 *2
- (-2 (|:| -3706 *4) (|:| -3777 *4) (|:| |totalpts| (-560))
- (|:| |success| (-114))))
- (-5 *1 (-811)) (-5 *5 (-560)))))
-(((*1 *2 *1) (-12 (-5 *2 (-663 (-560))) (-5 *1 (-286)))))
+ (-12 (-5 *3 (-663 (-866 (-229)))) (-5 *4 (-229)) (-5 *2 (-663 *4))
+ (-5 *1 (-278)))))
+(((*1 *2 *1) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-1229)))))
+(((*1 *1 *1) (-5 *1 (-888)))
+ ((*1 *2 *1)
+ (-12 (-4 *1 (-1136 *2 *3 *4 *5 *6)) (-4 *3 (-1133)) (-4 *4 (-1133))
+ (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *2 (-1133))))
+ ((*1 *1 *2) (-12 (-5 *2 (-229)) (-5 *1 (-1191))))
+ ((*1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-1191))))
+ ((*1 *2 *1) (-12 (-5 *2 (-1191)) (-5 *1 (-1209)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7275,62 +6869,47 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2 *1 *3) (-12 (-5 *3 (-520)) (-5 *2 (-114)) (-5 *1 (-115)))))
-(((*1 *1 *1) (-12 (-4 *1 (-680 *2)) (-4 *2 (-1081))))
- ((*1 *2 *3)
- (-12 (-4 *4 (-571)) (-4 *4 (-175)) (-4 *5 (-385 *4))
- (-4 *6 (-385 *4)) (-5 *2 (-2 (|:| |adjMat| *3) (|:| |detMat| *4)))
- (-5 *1 (-710 *4 *5 *6 *3)) (-4 *3 (-708 *4 *5 *6))))
- ((*1 *1 *1 *1)
- (-12 (-4 *2 (-175)) (-4 *2 (-1081)) (-5 *1 (-736 *2 *3))
- (-4 *3 (-670 *2))))
- ((*1 *1 *1)
- (-12 (-4 *2 (-175)) (-4 *2 (-1081)) (-5 *1 (-736 *2 *3))
- (-4 *3 (-670 *2))))
- ((*1 *1 *1 *1) (-12 (-5 *1 (-858 *2)) (-4 *2 (-175)) (-4 *2 (-1081))))
- ((*1 *1 *1) (-12 (-5 *1 (-858 *2)) (-4 *2 (-175)) (-4 *2 (-1081)))))
-(((*1 *2 *3 *4 *5 *5 *5 *5 *6 *4 *4 *4 *4 *4 *5 *4 *5 *5 *4)
- (-12 (-5 *3 (-1191)) (-5 *4 (-560)) (-5 *5 (-711 (-229)))
- (-5 *6 (-229)) (-5 *2 (-1067)) (-5 *1 (-774)))))
-(((*1 *2 *3)
- (-12 (-4 *4 (-1081)) (-4 *5 (-1275 *4)) (-5 *2 (-1 *6 (-663 *6)))
- (-5 *1 (-1294 *4 *5 *3 *6)) (-4 *3 (-680 *5)) (-4 *6 (-1292 *4)))))
-(((*1 *2 *3 *3 *4 *5)
- (-12 (-5 *3 (-1191)) (-4 *6 (-466)) (-4 *7 (-817)) (-4 *8 (-872))
- (-4 *4 (-1097 *6 *7 *8)) (-5 *2 (-1305))
- (-5 *1 (-798 *6 *7 *8 *4 *5)) (-4 *5 (-1103 *6 *7 *8 *4)))))
-(((*1 *2 *1) (-12 (-5 *2 (-141)) (-5 *1 (-142))))
- ((*1 *2 *1) (-12 (-5 *1 (-187 *2)) (-4 *2 (-189))))
- ((*1 *2 *1) (-12 (-5 *2 (-257)) (-5 *1 (-256)))))
-(((*1 *2 *3 *2)
- (-12 (-4 *2 (-13 (-376) (-871))) (-5 *1 (-184 *2 *3))
- (-4 *3 (-1275 (-171 *2)))))
- ((*1 *2 *3)
- (-12 (-4 *2 (-13 (-376) (-871))) (-5 *1 (-184 *2 *3))
- (-4 *3 (-1275 (-171 *2))))))
-(((*1 *2 *3) (-12 (-5 *2 (-114)) (-5 *1 (-601 *3)) (-4 *3 (-559)))))
-(((*1 *2 *2)
- (-12
- (-5 *2
- (-1018 (-421 (-560)) (-889 *3) (-246 *4 (-793))
- (-255 *3 (-421 (-560)))))
- (-14 *3 (-663 (-1209))) (-14 *4 (-793)) (-5 *1 (-1019 *3 *4)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-793)) (-4 *4 (-376)) (-4 *5 (-1275 *4)) (-5 *2 (-1305))
- (-5 *1 (-40 *4 *5 *6 *7)) (-4 *6 (-1275 (-421 *5))) (-14 *7 *6))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-663 *4)) (-4 *4 (-1081)) (-5 *2 (-1299 *4))
- (-5 *1 (-1210 *4))))
+(((*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 *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)))))
+(((*1 *1 *2 *3)
+ (-12 (-4 *1 (-397 *3 *2)) (-4 *3 (-1081)) (-4 *2 (-1133))))
((*1 *2 *3 *4)
- (-12 (-5 *4 (-949)) (-5 *2 (-1299 *3)) (-5 *1 (-1210 *3))
+ (-12 (-5 *4 (-560)) (-5 *2 (-1187 *3)) (-5 *1 (-1193 *3))
+ (-4 *3 (-1081))))
+ ((*1 *1 *2 *3)
+ (-12 (-5 *2 (-843 *4)) (-4 *4 (-872)) (-4 *1 (-1319 *4 *3))
(-4 *3 (-1081)))))
-(((*1 *2 *2 *2 *2 *2)
- (-12 (-4 *2 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560)))))))
- (-5 *1 (-1160 *3 *2)) (-4 *3 (-1275 *2)))))
-(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1302))))
- ((*1 *2 *1) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1302))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1303))))
- ((*1 *2 *1) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1303)))))
+(((*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 *1 *1) (-4 *1 (-95)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -7347,43 +6926,82 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2 *1)
- (|partial| -12 (-5 *2 (-663 (-916 *3))) (-5 *1 (-916 *3))
- (-4 *3 (-1133)))))
-(((*1 *2 *3 *3)
- (-12 (-4 *4 (-13 (-466) (-149))) (-5 *2 (-419 *3))
- (-5 *1 (-100 *4 *3)) (-4 *3 (-1275 *4))))
- ((*1 *2 *3 *4)
- (-12 (-5 *4 (-663 *3)) (-4 *3 (-1275 *5)) (-4 *5 (-13 (-466) (-149)))
- (-5 *2 (-419 *3)) (-5 *1 (-100 *5 *3)))))
-(((*1 *2 *3 *3)
- (-12 (-5 *2 (-1203 *3)) (-5 *1 (-944 *3)) (-4 *3 (-319)))))
-(((*1 *2 *2)
- (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
- (-4 *2 (-13 (-435 *3) (-1034))))))
-(((*1 *2 *1)
- (-12 (-4 *3 (-1133)) (-4 *4 (-13 (-1081) (-912 *3) (-633 (-916 *3))))
- (-5 *2 (-663 (-1209))) (-5 *1 (-1107 *3 *4 *5))
- (-4 *5 (-13 (-435 *4) (-912 *3) (-633 (-916 *3)))))))
(((*1 *2 *3)
(-12
(-5 *3
(-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
+ (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
(|:| |relerr| (-229))))
- (-5 *2 (-560)) (-5 *1 (-207)))))
-(((*1 *2 *1) (-12 (-5 *2 (-229)) (-5 *1 (-847)))))
-(((*1 *1 *2 *3)
- (-12 (-5 *2 (-850)) (-5 *3 (-663 (-1209))) (-5 *1 (-849)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-1299 (-663 (-2 (|:| -3706 *4) (|:| -3757 (-1152))))))
- (-4 *4 (-363)) (-5 *2 (-1305)) (-5 *1 (-542 *4)))))
+ (-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 (-4 *3 (-1081)) (-4 *4 (-817)) (-4 *5 (-872)) (-5 *2 (-663 *1))
- (-4 *1 (-1097 *3 *4 *5)))))
-(((*1 *2 *3 *1)
- (-12 (-4 *1 (-1008 *4 *5 *3 *6)) (-4 *4 (-1081)) (-4 *5 (-817))
- (-4 *3 (-872)) (-4 *6 (-1097 *4 *5 *3)) (-5 *2 (-114)))))
+ (-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 *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)))))
+(((*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))))
+ ((*1 *1 *2)
+ (-12 (-5 *2 (-663 (-663 *3))) (-4 *3 (-1081)) (-4 *1 (-708 *3 *4 *5))
+ (-4 *4 (-385 *3)) (-4 *5 (-385 *3))))
+ ((*1 *1 *2) (-12 (-5 *2 (-663 (-663 (-888)))) (-5 *1 (-888))))
+ ((*1 *2 *1)
+ (-12 (-5 *2 (-1174 *3 *4)) (-5 *1 (-1025 *3 *4)) (-14 *3 (-949))
+ (-4 *4 (-376))))
+ ((*1 *1 *2)
+ (-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 *1) (-12 (-5 *2 (-141)) (-5 *1 (-142))))
+ ((*1 *2 *1) (-12 (-5 *1 (-187 *2)) (-4 *2 (-189))))
+ ((*1 *2 *1) (-12 (-5 *2 (-257)) (-5 *1 (-256)))))
+(((*1 *1 *1)
+ (-12 (|has| *1 (-6 -4510)) (-4 *1 (-153 *2)) (-4 *2 (-1249))
+ (-4 *2 (-1133)))))
+(((*1 *2 *2 *2 *3)
+ (-12 (-5 *3 (-793)) (-4 *4 (-13 (-1081) (-739 (-421 (-560)))))
+ (-4 *5 (-872)) (-5 *1 (-1316 *4 *5 *2)) (-4 *2 (-1322 *5 *4)))))
+(((*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)))))
+(((*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)))))
+(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1302))))
+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1302))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1303))))
+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-270))) (-5 *1 (-1303)))))
(((*1 *1 *1) (-4 *1 (-95)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -7403,44 +7021,49 @@
(((*1 *2 *1 *3 *3)
(-12 (-5 *3 (-949)) (-5 *2 (-793)) (-5 *1 (-1134 *4 *5)) (-14 *4 *3)
(-14 *5 *3))))
-(((*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 *1 *1 *2 *2)
- (|partial| -12 (-5 *2 (-949)) (-5 *1 (-1134 *3 *4)) (-14 *3 *2)
- (-14 *4 *2))))
-(((*1 *2 *3 *3)
- (-12 (-4 *4 (-571))
- (-5 *2 (-2 (|:| |coef2| *3) (|:| |subResultant| *3)))
- (-5 *1 (-1001 *4 *3)) (-4 *3 (-1275 *4)))))
-(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-888)))))
-(((*1 *2 *3)
- (-12 (-5 *3 (-663 *2)) (-5 *1 (-500 *2)) (-4 *2 (-1275 (-560))))))
-(((*1 *2 *3 *2) (-12 (-5 *2 (-1067)) (-5 *3 (-1209)) (-5 *1 (-278)))))
-(((*1 *2 *3 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-391)) (-5 *1 (-97)))))
+(((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-957)))))
+(((*1 *1 *2) (-12 (-5 *2 (-663 (-1121 (-391)))) (-5 *1 (-270))))
+ ((*1 *2 *3 *2)
+ (-12 (-5 *2 (-663 (-1121 (-391)))) (-5 *3 (-663 (-270)))
+ (-5 *1 (-271))))
+ ((*1 *2 *1 *2) (-12 (-5 *2 (-663 (-1121 (-391)))) (-5 *1 (-482))))
+ ((*1 *2 *1) (-12 (-5 *2 (-663 (-1121 (-391)))) (-5 *1 (-482)))))
+(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-663 *1)) (-4 *1 (-319)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-663 (-663 *8))) (-5 *3 (-663 *8))
+ (-4 *8 (-980 *5 *7 *6)) (-4 *5 (-13 (-319) (-149)))
+ (-4 *6 (-13 (-872) (-633 (-1209)))) (-4 *7 (-817)) (-5 *2 (-114))
+ (-5 *1 (-954 *5 *6 *7 *8)))))
+(((*1 *2 *1) (|partial| -12 (-5 *2 (-520)) (-5 *1 (-291)))))
+(((*1 *1 *1)
+ (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1081)))))
+(((*1 *2 *2 *3)
+ (-12 (-4 *3 (-376)) (-5 *1 (-297 *3 *2)) (-4 *2 (-1292 *3)))))
+(((*1 *1 *1 *1 *2)
+ (|partial| -12 (-5 *2 (-114)) (-5 *1 (-609 *3)) (-4 *3 (-1081)))))
+(((*1 *2)
+ (-12 (-4 *3 (-1254)) (-4 *4 (-1275 *3)) (-4 *5 (-1275 (-421 *4)))
+ (-5 *2 (-1299 *1)) (-4 *1 (-355 *3 *4 *5)))))
(((*1 *1 *2 *3)
- (-12 (-4 *1 (-397 *3 *2)) (-4 *3 (-1081)) (-4 *2 (-1133))))
+ (-12 (-5 *3 (-419 *2)) (-4 *2 (-319)) (-5 *1 (-944 *2))))
((*1 *2 *3 *4)
- (-12 (-5 *4 (-560)) (-5 *2 (-1187 *3)) (-5 *1 (-1193 *3))
- (-4 *3 (-1081))))
- ((*1 *1 *2 *3)
- (-12 (-5 *2 (-843 *4)) (-4 *4 (-872)) (-4 *1 (-1319 *4 *3))
- (-4 *3 (-1081)))))
-(((*1 *2)
- (-12 (-5 *2 (-114)) (-5 *1 (-1227 *3 *4)) (-4 *3 (-1133))
- (-4 *4 (-1133)))))
-(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5)
- (-12 (-5 *3 (-1 (-391) (-391))) (-5 *4 (-391))
+ (-12 (-5 *3 (-421 (-976 *5))) (-5 *4 (-1209))
+ (-4 *5 (-13 (-319) (-149))) (-5 *2 (-51)) (-5 *1 (-945 *5))))
+ ((*1 *2 *3 *4 *5)
+ (-12 (-5 *4 (-419 (-976 *6))) (-5 *5 (-1209)) (-5 *3 (-976 *6))
+ (-4 *6 (-13 (-319) (-149))) (-5 *2 (-51)) (-5 *1 (-945 *6)))))
+(((*1 *2 *3 *3 *4 *4 *5 *5 *3 *3 *4 *4 *5 *5 *3 *3 *4 *4 *5 *5 *3 *4 *4
+ *4 *6 *4)
+ (-12 (-5 *4 (-560)) (-5 *5 (-711 (-229))) (-5 *6 (-697 (-229)))
+ (-5 *3 (-229)) (-5 *2 (-1067)) (-5 *1 (-772)))))
+(((*1 *1 *1 *2)
+ (-12
(-5 *2
- (-2 (|:| -3706 *4) (|:| -3777 *4) (|:| |totalpts| (-560))
- (|:| |success| (-114))))
- (-5 *1 (-811)) (-5 *5 (-560)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-1097 *3 *4 *5)) (-4 *3 (-1081)) (-4 *4 (-817))
- (-4 *5 (-872)) (-5 *2 (-114)))))
+ (-2 (|:| -1364 (-663 (-888))) (|:| -1446 (-663 (-888)))
+ (|:| |presup| (-663 (-888))) (|:| -2938 (-663 (-888)))
+ (|:| |args| (-663 (-888)))))
+ (-5 *1 (-1209))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-663 (-888)))) (-5 *1 (-1209)))))
(((*1 *1 *1) (-4 *1 (-95)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -7457,61 +7080,37 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-397 *3 *4)) (-4 *3 (-1081)) (-4 *4 (-1133))
- (-5 *2 (-2 (|:| |k| *4) (|:| |c| *3))))))
-(((*1 *2 *2 *3 *3)
- (-12 (-5 *2 (-1187 *4)) (-5 *3 (-560)) (-4 *4 (-1081))
- (-5 *1 (-1193 *4))))
- ((*1 *1 *1 *2 *2)
- (-12 (-5 *2 (-560)) (-5 *1 (-1289 *3 *4 *5)) (-4 *3 (-1081))
- (-14 *4 (-1209)) (-14 *5 *3))))
-(((*1 *2 *1) (-12 (-5 *2 (-663 (-178))) (-5 *1 (-1117)))))
-(((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-58 *6)) (-4 *6 (-1249))
- (-4 *5 (-1249)) (-5 *2 (-58 *5)) (-5 *1 (-59 *6 *5))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-246 *6 *7)) (-14 *6 (-793))
- (-4 *7 (-1249)) (-4 *5 (-1249)) (-5 *2 (-246 *6 *5))
- (-5 *1 (-247 *6 *7 *5))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *6 *5)) (-4 *6 (-1249)) (-4 *5 (-1249))
- (-4 *2 (-385 *5)) (-5 *1 (-386 *6 *4 *5 *2)) (-4 *4 (-385 *6))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *6 *5)) (-4 *6 (-1133)) (-4 *5 (-1133))
- (-4 *2 (-440 *5)) (-5 *1 (-441 *6 *4 *5 *2)) (-4 *4 (-440 *6))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-663 *6)) (-4 *6 (-1249))
- (-4 *5 (-1249)) (-5 *2 (-663 *5)) (-5 *1 (-664 *6 *5))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-988 *6)) (-4 *6 (-1249))
- (-4 *5 (-1249)) (-5 *2 (-988 *5)) (-5 *1 (-989 *6 *5))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *4 (-1 *3 *6 *3)) (-5 *5 (-1187 *6)) (-4 *6 (-1249))
- (-4 *3 (-1249)) (-5 *2 (-1187 *3)) (-5 *1 (-1189 *6 *3))))
- ((*1 *2 *3 *4 *5)
- (-12 (-5 *3 (-1 *5 *6 *5)) (-5 *4 (-1299 *6)) (-4 *6 (-1249))
- (-4 *5 (-1249)) (-5 *2 (-1299 *5)) (-5 *1 (-1300 *6 *5)))))
-(((*1 *2 *2) (-12 (-5 *1 (-992 *2)) (-4 *2 (-559)))))
-(((*1 *1 *1 *2) (-12 (-4 *1 (-742)) (-5 *2 (-949))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-744)) (-5 *2 (-793)))))
-(((*1 *2 *2 *1) (-12 (-4 *1 (-1027 *2)) (-4 *2 (-1249)))))
-(((*1 *1 *2 *2 *3) (-12 (-5 *2 (-560)) (-5 *3 (-949)) (-4 *1 (-418))))
- ((*1 *1 *2 *2) (-12 (-5 *2 (-560)) (-4 *1 (-418))))
- ((*1 *2 *1)
- (-12 (-4 *1 (-1136 *3 *4 *5 *2 *6)) (-4 *3 (-1133)) (-4 *4 (-1133))
- (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *2 (-1133)))))
-(((*1 *2 *2 *2 *3)
- (-12 (-5 *2 (-1299 (-560))) (-5 *3 (-560)) (-5 *1 (-1142))))
- ((*1 *2 *3 *2 *4)
- (-12 (-5 *2 (-1299 (-560))) (-5 *3 (-663 (-560))) (-5 *4 (-560))
- (-5 *1 (-1142)))))
-(((*1 *1 *1 *2 *3)
- (-12 (-5 *2 (-560)) (-4 *1 (-57 *4 *5 *3)) (-4 *4 (-1249))
- (-4 *5 (-385 *4)) (-4 *3 (-385 *4)))))
-(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-1245 *3)) (-4 *3 (-1006)))))
(((*1 *2 *3)
- (-12 (-5 *2 (-663 (-1203 (-560)))) (-5 *1 (-194)) (-5 *3 (-560)))))
+ (-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 (-872)) (-4 *2 (-1081))
+ (-5 *1 (-333 *4 *5 *2 *6)) (-4 *6 (-980 *2 *4 *5)))))
+(((*1 *2) (-12 (-5 *2 (-949)) (-5 *1 (-1304))))
+ ((*1 *2 *2) (-12 (-5 *2 (-949)) (-5 *1 (-1304)))))
+(((*1 *1 *1 *2)
+ (-12 (-5 *2 (-793)) (-4 *1 (-1275 *3)) (-4 *3 (-1081)))))
+(((*1 *2 *3 *2)
+ (-12 (-5 *3 (-663 (-711 *4))) (-5 *2 (-711 *4)) (-4 *4 (-1081))
+ (-5 *1 (-1062 *4)))))
+(((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-957)))))
(((*1 *1 *1) (-4 *1 (-95))) ((*1 *1 *1 *1) (-5 *1 (-229)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -7532,31 +7131,35 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-1244 *3 *4 *5 *6)) (-4 *3 (-571)) (-4 *4 (-817))
- (-4 *5 (-872)) (-4 *6 (-1097 *3 *4 *5)) (-5 *2 (-663 *6)))))
-(((*1 *1 *1)
- (|partial| -12 (-5 *1 (-305 *2)) (-4 *2 (-748)) (-4 *2 (-1249)))))
-(((*1 *1 *1 *1) (-5 *1 (-888))))
-(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448)))))
-(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448)))))
-(((*1 *1 *1 *2) (-12 (-5 *2 (-520)) (-5 *1 (-115))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-115)))))
-(((*1 *2 *3 *1)
- (-12 (-5 *3 (-1209))
- (-5 *2 (-3 (|:| |fst| (-448)) (|:| -3011 "void"))) (-5 *1 (-1212)))))
-(((*1 *1) (-12 (-4 *1 (-341 *2)) (-4 *2 (-381)) (-4 *2 (-376))))
+(((*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 (-949)) (-5 *2 (-1299 *4)) (-5 *1 (-542 *4))
- (-4 *4 (-363)))))
-(((*1 *2 *1) (-12 (-4 *1 (-263 *2)) (-4 *2 (-1249)))))
-(((*1 *1 *2 *3 *1)
- (-12 (-5 *2 (-916 *4)) (-4 *4 (-1133)) (-5 *1 (-914 *4 *3))
- (-4 *3 (-1133)))))
-(((*1 *2 *3 *3 *4 *5 *3 *6)
- (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *5 (-229))
- (-5 *6 (-3 (|:| |fn| (-402)) (|:| |fp| (-81 FCN)))) (-5 *2 (-1067))
- (-5 *1 (-768)))))
+ (-12 (-5 *3 (-597 (-421 (-976 *4))))
+ (-4 *4 (-13 (-466) (-1070 (-560)) (-660 (-560)))) (-5 *2 (-326 *4))
+ (-5 *1 (-603 *4)))))
+(((*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)))))
+(((*1 *2 *3) (-12 (-5 *2 (-421 (-560))) (-5 *1 (-576)) (-5 *3 (-560)))))
+(((*1 *1 *2 *2 *3) (-12 (-5 *2 (-560)) (-5 *3 (-949)) (-4 *1 (-418))))
+ ((*1 *1 *2 *2) (-12 (-5 *2 (-560)) (-4 *1 (-418))))
+ ((*1 *2 *1)
+ (-12 (-4 *1 (-1136 *3 *4 *5 *2 *6)) (-4 *3 (-1133)) (-4 *4 (-1133))
+ (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *2 (-1133)))))
+(((*1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-888))))
+ ((*1 *1 *1 *1) (-5 *1 (-888))))
+(((*1 *2) (-12 (-5 *2 (-132)) (-5 *1 (-1219)))))
+(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235)))))
+(((*1 *2 *1)
+ (-12 (-5 *2 (-663 (-51))) (-5 *1 (-916 *3)) (-4 *3 (-1133)))))
+(((*1 *2 *2 *2 *3 *4)
+ (-12 (-5 *3 (-99 *5)) (-5 *4 (-1 *5 *5)) (-4 *5 (-1081))
+ (-5 *1 (-878 *5 *2)) (-4 *2 (-877 *5)))))
(((*1 *1 *1) (-4 *1 (-95)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -7576,48 +7179,48 @@
((*1 *2 *2)
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3)))))
-(((*1 *1) (-5 *1 (-623))))
-(((*1 *2 *3)
- (-12
- (-5 *3
- (-518 (-421 (-560)) (-246 *5 (-793)) (-889 *4)
- (-255 *4 (-421 (-560)))))
- (-14 *4 (-663 (-1209))) (-14 *5 (-793)) (-5 *2 (-114))
- (-5 *1 (-519 *4 *5)))))
-(((*1 *2 *2 *2)
- (-12 (-5 *2 (-1187 *3)) (-4 *3 (-1081)) (-5 *1 (-1193 *3)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780)))))
-(((*1 *2 *3 *2 *4)
- (-12 (-5 *3 (-115)) (-5 *4 (-793))
- (-4 *5 (-13 (-466) (-1070 (-560)))) (-4 *5 (-571))
- (-5 *1 (-41 *5 *2)) (-4 *2 (-435 *5))
- (-4 *2
- (-13 (-376) (-310)
- (-10 -8 (-15 -2253 ((-1157 *5 (-630 $)) $))
- (-15 -2264 ((-1157 *5 (-630 $)) $))
- (-15 -4236 ($ (-1157 *5 (-630 $))))))))))
-(((*1 *2 *3 *3 *4 *4 *5 *4 *5 *4 *4 *5 *4)
- (-12 (-5 *3 (-1191)) (-5 *4 (-560)) (-5 *5 (-711 (-229)))
- (-5 *2 (-1067)) (-5 *1 (-776)))))
-(((*1 *2 *1) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-407))))
- ((*1 *2 *1) (-12 (-5 *2 (-663 (-1191))) (-5 *1 (-1229)))))
+(((*1 *2 *3 *4 *5 *5 *5 *5 *4 *6)
+ (-12 (-5 *4 (-560)) (-5 *6 (-1 (-1305) (-1299 *5) (-1299 *5) (-391)))
+ (-5 *3 (-1299 (-391))) (-5 *5 (-391)) (-5 *2 (-1305))
+ (-5 *1 (-810)))))
+(((*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 *3)
(-12
(-5 *3
- (-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
- (|:| |relerr| (-229))))
- (-5 *2 (-114)) (-5 *1 (-313)))))
+ (-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 *3 *4)
- (-12 (-5 *3 (-663 *8)) (-5 *4 (-663 *9)) (-4 *8 (-1097 *5 *6 *7))
- (-4 *9 (-1103 *5 *6 *7 *8)) (-4 *5 (-466)) (-4 *6 (-817))
- (-4 *7 (-872)) (-5 *2 (-793)) (-5 *1 (-1101 *5 *6 *7 *8 *9))))
+ (-12 (-5 *3 (-421 (-976 *5))) (-5 *4 (-1209))
+ (-4 *5 (-13 (-319) (-149))) (-5 *2 (-663 (-326 *5)))
+ (-5 *1 (-1161 *5))))
((*1 *2 *3 *4)
- (-12 (-5 *3 (-663 *8)) (-5 *4 (-663 *9)) (-4 *8 (-1097 *5 *6 *7))
- (-4 *9 (-1141 *5 *6 *7 *8)) (-4 *5 (-466)) (-4 *6 (-817))
- (-4 *7 (-872)) (-5 *2 (-793)) (-5 *1 (-1177 *5 *6 *7 *8 *9)))))
-(((*1 *2) (-12 (-5 *2 (-1305)) (-5 *1 (-459 *3)) (-4 *3 (-1081)))))
+ (-12 (-5 *3 (-663 (-421 (-976 *5)))) (-5 *4 (-663 (-1209)))
+ (-4 *5 (-13 (-319) (-149))) (-5 *2 (-663 (-663 (-326 *5))))
+ (-5 *1 (-1161 *5)))))
+(((*1 *2 *2 *1)
+ (-12 (-5 *2 (-663 *6)) (-4 *1 (-1008 *3 *4 *5 *6)) (-4 *3 (-1081))
+ (-4 *4 (-817)) (-4 *5 (-872)) (-4 *6 (-1097 *3 *4 *5))
+ (-4 *3 (-571)))))
+(((*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 *3) (-12 (-5 *2 (-1 *3)) (-5 *1 (-704 *3)) (-4 *3 (-1133)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-1191)) (-5 *2 (-217 (-516))) (-5 *1 (-861)))))
+(((*1 *2 *3)
+ (-12 (-5 *3 (-1299 *4)) (-4 *4 (-363)) (-5 *2 (-1203 *4))
+ (-5 *1 (-542 *4)))))
+(((*1 *2 *3 *1 *4)
+ (-12 (-5 *3 (-1172 *5 *6)) (-5 *4 (-1 (-114) *6 *6))
+ (-4 *5 (-13 (-1133) (-34))) (-4 *6 (-13 (-1133) (-34)))
+ (-5 *2 (-114)) (-5 *1 (-1173 *5 *6)))))
+(((*1 *1) (-5 *1 (-450))))
(((*1 *1 *1) (-4 *1 (-95)))
((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
@@ -7637,45 +7240,35 @@
((*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 (-793)))))
(((*1 *2 *3)
(-12 (-4 *4 (-872))
(-5 *2
(-2 (|:| |f1| (-663 *4)) (|:| |f2| (-663 (-663 (-663 *4))))
(|:| |f3| (-663 (-663 *4))) (|:| |f4| (-663 (-663 (-663 *4))))))
(-5 *1 (-1220 *4)) (-5 *3 (-663 (-663 (-663 *4)))))))
-(((*1 *2 *3) (-12 (-5 *3 (-171 (-560))) (-5 *2 (-114)) (-5 *1 (-460))))
- ((*1 *2 *3)
- (-12
- (-5 *3
- (-518 (-421 (-560)) (-246 *5 (-793)) (-889 *4)
- (-255 *4 (-421 (-560)))))
- (-14 *4 (-663 (-1209))) (-14 *5 (-793)) (-5 *2 (-114))
- (-5 *1 (-519 *4 *5))))
- ((*1 *2 *3) (-12 (-5 *2 (-114)) (-5 *1 (-992 *3)) (-4 *3 (-559))))
- ((*1 *2 *1) (-12 (-4 *1 (-1254)) (-5 *2 (-114)))))
-(((*1 *2 *1 *1)
- (-12 (-4 *1 (-1042 *3)) (-4 *3 (-1249)) (-4 *3 (-1133))
- (-5 *2 (-114)))))
-(((*1 *1 *1)
- (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817))
- (-4 *4 (-872)))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-171 (-229))) (-5 *4 (-560)) (-5 *2 (-1067))
- (-5 *1 (-780)))))
-(((*1 *2 *1 *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)
- (-12 (-5 *1 (-1173 *2 *3)) (-4 *2 (-13 (-1133) (-34)))
- (-4 *3 (-13 (-1133) (-34))))))
-(((*1 *2 *2 *2 *3 *4)
- (-12 (-5 *3 (-99 *5)) (-5 *4 (-1 *5 *5)) (-4 *5 (-1081))
- (-5 *1 (-878 *5 *2)) (-4 *2 (-877 *5)))))
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235)))))
-(((*1 *2 *3 *3 *3 *3 *4 *4 *3)
- (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067))
- (-5 *1 (-777)))))
+ (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780)))))
+(((*1 *2 *3)
+ (-12 (-4 *4 (-466))
+ (-5 *2
+ (-663
+ (-2 (|:| |eigval| (-3 (-421 (-976 *4)) (-1198 (-1209) (-976 *4))))
+ (|:| |eigmult| (-793))
+ (|:| |eigvec| (-663 (-711 (-421 (-976 *4))))))))
+ (-5 *1 (-304 *4)) (-5 *3 (-711 (-421 (-976 *4)))))))
+(((*1 *1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-136)))))
+(((*1 *2 *2 *3)
+ (-12 (-5 *3 (-663 *2)) (-4 *2 (-559)) (-5 *1 (-161 *2)))))
+(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-342)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-663 (-326 (-229)))) (-5 *4 (-793))
+ (-5 *2 (-711 (-229))) (-5 *1 (-278)))))
+(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-850)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7692,45 +7285,99 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3))))
((*1 *1 *1) (-4 *1 (-1238))))
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+ (-14 *4 *3)))
+ ((*1 *1 *2 *3 *1)
+ (-12 (-5 *1 (-671 *2 *3 *4)) (-4 *2 (-1133)) (-4 *3 (-23))
+ (-14 *4 *3)))
+ ((*1 *1 *1 *1)
+ (-12 (-5 *1 (-697 *2)) (-4 *2 (-1081)) (-4 *2 (-1133)))))
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+ (-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
+ (-4 *2 (-13 (-435 *3) (-1034))))))
+(((*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)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7747,31 +7394,43 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3))))
((*1 *1 *1) (-4 *1 (-1238))))
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- (-4 *4 (-432 *3)))))
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- (-12 (-4 *2 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560)))))))
- (-5 *1 (-1160 *3 *2)) (-4 *3 (-1275 *2)))))
-(((*1 *2 *2) (|partial| -12 (-4 *1 (-1015 *2)) (-4 *2 (-1235)))))
-(((*1 *2 *3 *4)
- (-12 (-5 *3 (-663 (-1 (-114) *8))) (-4 *8 (-1097 *5 *6 *7))
- (-4 *5 (-571)) (-4 *6 (-817)) (-4 *7 (-872))
- (-5 *2 (-2 (|:| |goodPols| (-663 *8)) (|:| |badPols| (-663 *8))))
- (-5 *1 (-1009 *5 *6 *7 *8)) (-5 *4 (-663 *8)))))
(((*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)))))
-(((*1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-888)))))
-(((*1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-957)))))
+ (-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)))))
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+ (-4 *5 (-385 *3)) (-5 *2 (-114))))
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+ (-12 (-5 *3 (-663 *2)) (-4 *2 (-980 *4 *5 *6)) (-4 *4 (-466))
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+ (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2))
+ (-4 *2 (-13 (-435 *3) (-1235))))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-229)) (-5 *4 (-560)) (-5 *2 (-1067)) (-5 *1 (-780)))))
-(((*1 *2 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303))))
- ((*1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303)))))
-(((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-5 *1 (-903 *2)) (-4 *2 (-1249))))
- ((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-5 *1 (-905 *2)) (-4 *2 (-1249))))
- ((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-5 *1 (-908 *2)) (-4 *2 (-1249)))))
+ (-12 (-5 *3 (-663 (-270))) (-5 *4 (-1209)) (-5 *2 (-114))
+ (-5 *1 (-270)))))
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+ (-12 (-5 *3 (-949)) (-5 *2 (-1203 *4)) (-5 *1 (-602 *4))
+ (-4 *4 (-363)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7788,27 +7447,36 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3))))
((*1 *1 *1) (-4 *1 (-1238))))
+(((*1 *2 *3) (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-451)))))
+(((*1 *2 *2 *3)
+ (|partial| -12 (-5 *3 (-1209))
+ (-4 *4 (-13 (-466) (-149) (-1070 (-560)) (-660 (-560))))
+ (-5 *1 (-572 *4 *2)) (-4 *2 (-13 (-27) (-1235) (-435 *4))))))
+(((*1 *1 *2 *1) (-12 (-5 *1 (-123 *2)) (-4 *2 (-872)))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-1203 *2)) (-4 *2 (-980 (-421 (-976 *6)) *5 *4))
- (-5 *1 (-754 *5 *4 *6 *2)) (-4 *5 (-817))
- (-4 *4 (-13 (-872) (-10 -8 (-15 -2260 ((-1209) $)))))
- (-4 *6 (-571)))))
-(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-343 *3)) (-4 *3 (-872)))))
-(((*1 *2 *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 *3)
- (-12 (-5 *3 (-949)) (-5 *2 (-1299 (-1299 (-560)))) (-5 *1 (-480)))))
-(((*1 *2 *1) (-12 (-5 *2 (-1191)) (-5 *1 (-847)))))
-(((*1 *2 *1 *3 *3 *3 *2)
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-(((*1 *1 *1)
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- (-4 *3 (-1275 *2)))))
-(((*1 *2 *3)
- (-12 (-4 *4 (-571)) (-5 *2 (-114)) (-5 *1 (-287 *4 *3))
- (-4 *3 (-13 (-435 *4) (-1034))))))
+ (-12 (-5 *3 (-711 *8)) (-5 *4 (-793)) (-4 *8 (-980 *5 *7 *6))
+ (-4 *5 (-13 (-319) (-149))) (-4 *6 (-13 (-872) (-633 (-1209))))
+ (-4 *7 (-817))
+ (-5 *2
+ (-663
+ (-2 (|:| |det| *8) (|:| |rows| (-663 (-560)))
+ (|:| |cols| (-663 (-560))))))
+ (-5 *1 (-954 *5 *6 *7 *8)))))
+(((*1 *1) (-5 *1 (-623))))
+(((*1 *2 *2)
+ (-12 (-4 *3 (-1275 (-421 (-560)))) (-5 *1 (-943 *3 *2))
+ (-4 *2 (-1275 (-421 *3))))))
+(((*1 *2 *1)
+ (-12 (-5 *2 (-663 (-932 *3))) (-5 *1 (-935 *3)) (-4 *3 (-1133)))))
+(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-1231)))))
+(((*1 *2 *1 *3) (-12 (-5 *3 (-1209)) (-5 *2 (-391)) (-5 *1 (-1095)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-1209)) (-5 *4 (-976 (-560))) (-5 *2 (-342))
+ (-5 *1 (-344)))))
+(((*1 *2)
+ (-12 (-5 *2 (-793)) (-5 *1 (-122 *3)) (-4 *3 (-1275 (-560)))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-793)) (-5 *1 (-122 *3)) (-4 *3 (-1275 (-560))))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7828,24 +7496,40 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3))))
((*1 *1 *1) (-4 *1 (-1238))))
-(((*1 *2 *3) (-12 (-5 *3 (-949)) (-5 *2 (-1191)) (-5 *1 (-808)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-1166 *3)) (-4 *3 (-1081)) (-5 *2 (-663 (-973 *3))))))
-(((*1 *2 *1 *1) (-12 (-4 *1 (-559)) (-5 *2 (-114)))))
-(((*1 *2 *2 *2) (-12 (-5 *1 (-161 *2)) (-4 *2 (-559)))))
-(((*1 *2 *3) (-12 (-5 *2 (-115)) (-5 *1 (-116 *3)) (-4 *3 (-1133)))))
-(((*1 *1 *2) (-12 (-5 *2 (-663 *3)) (-4 *3 (-1249)) (-5 *1 (-339 *3))))
- ((*1 *1 *2)
- (-12 (-5 *2 (-663 *3)) (-4 *3 (-1249)) (-5 *1 (-530 *3 *4))
- (-14 *4 (-560)))))
-(((*1 *1 *2) (-12 (-5 *2 (-1152)) (-5 *1 (-846)))))
-(((*1 *2 *2)
- (-12 (-4 *3 (-571)) (-5 *1 (-445 *3 *2)) (-4 *2 (-435 *3)))))
(((*1 *2 *3 *4)
- (-12 (-5 *3 (-560)) (-5 *4 (-419 *2)) (-4 *2 (-980 *7 *5 *6))
- (-5 *1 (-764 *5 *6 *7 *2)) (-4 *5 (-817)) (-4 *6 (-872))
- (-4 *7 (-319)))))
-(((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-531)))))
+ (-12 (-5 *3 (-663 (-949))) (-5 *4 (-663 (-560)))
+ (-5 *2 (-711 (-560))) (-5 *1 (-1142)))))
+(((*1 *2 *3)
+ (-12 (-5 *2 (-1 (-973 *3) (-973 *3))) (-5 *1 (-179 *3))
+ (-4 *3 (-13 (-376) (-1235) (-1034))))))
+(((*1 *2)
+ (-12 (-5 *2 (-949)) (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560)))))
+ ((*1 *2 *2)
+ (-12 (-5 *2 (-949)) (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560))))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-114)) (-4 *5 (-13 (-466) (-1070 (-560)) (-660 (-560))))
+ (-5 *2
+ (-3 (|:| |%expansion| (-325 *5 *3 *6 *7))
+ (|:| |%problem| (-2 (|:| |func| (-1191)) (|:| |prob| (-1191))))))
+ (-5 *1 (-437 *5 *3 *6 *7)) (-4 *3 (-13 (-27) (-1235) (-435 *5)))
+ (-14 *6 (-1209)) (-14 *7 *3))))
+(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-174)))))
+(((*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 *1)
+ (-12 (-4 *1 (-1070 (-560))) (-4 *1 (-310)) (-5 *2 (-114))))
+ ((*1 *2 *1) (-12 (-4 *1 (-559)) (-5 *2 (-114))))
+ ((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-932 *3)) (-4 *3 (-1133)))))
+(((*1 *2 *1 *1)
+ (-12 (-5 *2 (-2 (|:| -4455 *3) (|:| |coef2| (-803 *3))))
+ (-5 *1 (-803 *3)) (-4 *3 (-571)) (-4 *3 (-1081)))))
+(((*1 *2 *3 *1)
+ (-12 (-5 *3 (-663 *4)) (-4 *4 (-1133)) (-4 *4 (-1249)) (-5 *2 (-114))
+ (-5 *1 (-1187 *4)))))
+(((*1 *2 *3 *4 *5)
+ (-12 (-5 *3 (-1299 *6)) (-5 *4 (-1299 (-560))) (-5 *5 (-560))
+ (-4 *6 (-1133)) (-5 *2 (-1 *6)) (-5 *1 (-1049 *6)))))
(((*1 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-287 *3 *2))
(-4 *2 (-13 (-435 *3) (-1034)))))
@@ -7866,71 +7550,40 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-38 (-421 (-560))))
(-5 *1 (-1195 *3))))
((*1 *1 *1) (-4 *1 (-1238))))
-(((*1 *1 *1)
- (-12 (-5 *1 (-609 *2)) (-4 *2 (-38 (-421 (-560)))) (-4 *2 (-1081)))))
-(((*1 *2 *2 *3)
- (-12 (-5 *3 (-663 (-663 (-663 *4)))) (-5 *2 (-663 (-663 *4)))
- (-4 *4 (-872)) (-5 *1 (-1220 *4)))))
-(((*1 *2 *3 *1)
- (-12 (|has| *1 (-6 -4510)) (-4 *1 (-503 *3)) (-4 *3 (-1249))
- (-4 *3 (-1133)) (-5 *2 (-793))))
- ((*1 *2 *3 *1)
- (-12 (-5 *3 (-1 (-114) *4)) (|has| *1 (-6 -4510)) (-4 *1 (-503 *4))
- (-4 *4 (-1249)) (-5 *2 (-793)))))
-(((*1 *2 *3)
- (-12 (|has| *6 (-6 -4511)) (-4 *4 (-376)) (-4 *5 (-385 *4))
- (-4 *6 (-385 *4)) (-5 *2 (-663 *6)) (-5 *1 (-535 *4 *5 *6 *3))
- (-4 *3 (-708 *4 *5 *6))))
- ((*1 *2 *3)
- (-12 (|has| *9 (-6 -4511)) (-4 *4 (-571)) (-4 *5 (-385 *4))
- (-4 *6 (-385 *4)) (-4 *7 (-1023 *4)) (-4 *8 (-385 *7))
- (-4 *9 (-385 *7)) (-5 *2 (-663 *6))
- (-5 *1 (-536 *4 *5 *6 *3 *7 *8 *9 *10)) (-4 *3 (-708 *4 *5 *6))
- (-4 *10 (-708 *7 *8 *9))))
- ((*1 *2 *1)
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- (-4 *5 (-385 *3)) (-4 *3 (-571)) (-5 *2 (-663 *5))))
- ((*1 *2 *3)
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- (-4 *6 (-385 *4)) (-5 *2 (-663 *6)) (-5 *1 (-710 *4 *5 *6 *3))
- (-4 *3 (-708 *4 *5 *6))))
- ((*1 *2 *1)
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+ (-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 (-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))))
@@ -8295,48 +7951,53 @@
(-4 *4 (-13 (-1081) (-912 *3) (-633 (-916 *3))))))
((*1 *2 *1)
(-12 (-4 *2 (-1133)) (-5 *1 (-1198 *3 *2)) (-4 *3 (-1133)))))
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- (-12 (-5 *2 (-1187 *4)) (-5 *3 (-560)) (-4 *4 (-1081))
- (-5 *1 (-1193 *4))))
- ((*1 *1 *2 *2 *1)
- (-12 (-5 *2 (-560)) (-5 *1 (-1289 *3 *4 *5)) (-4 *3 (-1081))
- (-14 *4 (-1209)) (-14 *5 *3))))
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- ((*1 *1 *1 *2)
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- (-4 *4 (-872)) (-4 *2 (-571)))))
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- (-4 *5 (-1275 (-421 *4))) (-5 *2 (-711 (-421 *4))))))
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+ (|partial| -12 (-5 *3 (-916 *4)) (-4 *4 (-1133)) (-4 *2 (-1133))
+ (-5 *1 (-914 *4 *2)))))
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+ (-5 *2 (-1 *6 *4 *5)) (-5 *1 (-706 *4 *5 *6)) (-4 *5 (-1133)))))
(((*1 *2 *2)
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- (|:| |success| (-114))))
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(((*1 *2 *2)
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+ ((*1 *2 *1)
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+ (-5 *2 (-114))))
+ ((*1 *2 *1)
+ (-12 (-5 *2 (-114)) (-5 *1 (-1323 *3 *4)) (-4 *3 (-1081))
+ (-4 *4 (-870)))))
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+ (|partial| -12 (-5 *3 (-1299 *4)) (-4 *4 (-13 (-1081) (-660 *5)))
+ (-4 *5 (-376)) (-4 *5 (-571)) (-5 *2 (-1299 *5))
+ (-5 *1 (-658 *5 *4))))
+ ((*1 *2 *3 *4)
+ (|partial| -12 (-5 *3 (-1299 *4)) (-4 *4 (-13 (-1081) (-660 *5)))
+ (-2345 (-4 *5 (-376))) (-4 *5 (-571)) (-5 *2 (-1299 (-421 *5)))
+ (-5 *1 (-658 *5 *4)))))
+(((*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 *2 *1) (|partial| -12 (-5 *1 (-377 *2)) (-4 *2 (-1133))))
+ ((*1 *2 *1) (|partial| -12 (-5 *2 (-1191)) (-5 *1 (-1231)))))
+(((*1 *2 *3 *3 *3 *4 *4 *4 *3)
+ (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067))
+ (-5 *1 (-774)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *3 (-1 *2 *2)) (-4 *2 (-1292 *4)) (-5 *1 (-1293 *4 *2))
+ (-4 *4 (-38 (-421 (-560)))))))
(((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-139))))
((*1 *2 *1) (-12 (-5 *2 (-1167)) (-5 *1 (-158))))
((*1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-1249))))
@@ -8350,118 +8011,96 @@
(-4 *4 (-13 (-1081) (-912 *3) (-633 (-916 *3))))))
((*1 *2 *1)
(-12 (-4 *2 (-1133)) (-5 *1 (-1198 *2 *3)) (-4 *3 (-1133)))))
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- (-12 (-5 *2 (-663 (-560))) (-5 *1 (-137 *3 *4 *5)) (-14 *3 (-560))
- (-14 *4 (-793)) (-4 *5 (-175)))))
+(((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-847)))))
+(((*1 *2 *1) (-12 (-5 *2 (-1209)) (-5 *1 (-847)))))
+(((*1 *2)
+ (|partial| -12 (-4 *3 (-571)) (-4 *3 (-175))
+ (-5 *2 (-2 (|:| |particular| *1) (|:| -4238 (-663 *1))))
+ (-4 *1 (-380 *3))))
+ ((*1 *2)
+ (|partial| -12
+ (-5 *2
+ (-2 (|:| |particular| (-467 *3 *4 *5 *6))
+ (|:| -4238 (-663 (-467 *3 *4 *5 *6)))))
+ (-5 *1 (-467 *3 *4 *5 *6)) (-4 *3 (-175)) (-14 *4 (-949))
+ (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3))))))
(((*1 *2 *3 *4)
- (-12 (-5 *4 (-711 (-421 (-976 (-560)))))
- (-5 *2 (-663 (-711 (-326 (-560))))) (-5 *1 (-1060))
- (-5 *3 (-326 (-560))))))
+ (-12 (-5 *3 (-663 (-421 (-976 (-171 (-560))))))
+ (-5 *2 (-663 (-663 (-305 (-976 (-171 *4)))))) (-5 *1 (-392 *4))
+ (-4 *4 (-13 (-376) (-871)))))
+ ((*1 *2 *3 *4)
+ (-12 (-5 *3 (-663 (-305 (-421 (-976 (-171 (-560)))))))
+ (-5 *2 (-663 (-663 (-305 (-976 (-171 *4)))))) (-5 *1 (-392 *4))
+ (-4 *4 (-13 (-376) (-871)))))
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+ (-5 *2 (-663 (-305 (-976 (-171 *4))))) (-5 *1 (-392 *4))
+ (-4 *4 (-13 (-376) (-871)))))
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+ (-4 *3 (-1133)))))
(((*1 *2 *3)
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-(((*1 *2 *1) (-12 (-4 *1 (-1023 *2)) (-4 *2 (-571)) (-4 *2 (-559))))
- ((*1 *1 *1) (-4 *1 (-1092))))
+ (-12
+ (-5 *3
+ (-2 (|:| |xinit| (-229)) (|:| |xend| (-229))
+ (|:| |fn| (-1299 (-326 (-229)))) (|:| |yinit| (-663 (-229)))
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- (-5 *1 (-542 *4))))
- ((*1 *2 *3)
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- (-5 *1 (-797 *4 *2 *5 *3)) (-4 *3 (-1275 *5))))
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- ((*1 *1 *1) (-4 *1 (-1092))))
-(((*1 *2 *3 *3 *3 *4 *3)
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- (-5 *1 (-776)))))
-(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-450)))))
-(((*1 *1 *1 *1 *2)
- (-12 (-5 *2 (-793)) (-4 *1 (-338 *3 *4)) (-4 *3 (-1081))
- (-4 *4 (-816)) (-4 *3 (-175)))))
+ (-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 *2 *3 *4)
+ (-12 (-5 *3 (-171 (-229))) (-5 *4 (-560)) (-5 *2 (-1067))
+ (-5 *1 (-780)))))
+(((*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 (-305 (-976 (-560))))
- (-5 *2
- (-2 (|:| |varOrder| (-663 (-1209)))
- (|:| |inhom| (-3 (-663 (-1299 (-793))) "failed"))
- (|:| |hom| (-663 (-1299 (-793))))))
- (-5 *1 (-243)))))
-(((*1 *2 *2)
- (-12 (-5 *2 (-973 *3)) (-4 *3 (-13 (-376) (-1235) (-1034)))
- (-5 *1 (-179 *3)))))
-(((*1 *2 *2) (-12 (-5 *2 (-793)) (-5 *1 (-459 *3)) (-4 *3 (-1081))))
- ((*1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-459 *3)) (-4 *3 (-1081)))))
+ (-12 (-5 *3 (-663 (-326 (-229)))) (-5 *2 (-114)) (-5 *1 (-278)))))
(((*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)))))
@@ -8472,10 +8111,10 @@
(-12 (-4 *1 (-397 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-1133))))
((*1 *1 *1)
(-12 (-14 *2 (-663 (-1209))) (-4 *3 (-175))
- (-4 *5 (-245 (-2093 *2) (-793)))
+ (-4 *5 (-245 (-2086 *2) (-793)))
(-14 *6
- (-1 (-114) (-2 (|:| -3757 *4) (|:| -2561 *5))
- (-2 (|:| -3757 *4) (|:| -2561 *5))))
+ (-1 (-114) (-2 (|:| -3836 *4) (|:| -3562 *5))
+ (-2 (|:| -3836 *4) (|:| -3562 *5))))
(-5 *1 (-475 *2 *3 *4 *5 *6 *7)) (-4 *4 (-872))
(-4 *7 (-980 *3 *5 (-889 *2)))))
((*1 *1 *1) (-12 (-4 *1 (-523 *2 *3)) (-4 *2 (-102)) (-4 *3 (-875))))
@@ -8491,110 +8130,106 @@
(-4 *2 (-872))))
((*1 *1 *1)
(-12 (-5 *1 (-1323 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-870)))))
-(((*1 *1 *1 *2) (-12 (-4 *1 (-1176)) (-5 *2 (-143))))
- ((*1 *1 *1 *2) (-12 (-4 *1 (-1176)) (-5 *2 (-146)))))
-(((*1 *1 *1 *2) (-12 (-5 *2 (-1121 (-229))) (-5 *1 (-955))))
- ((*1 *1 *2 *2 *3 *3 *3)
- (-12 (-5 *2 (-1 (-229) (-229))) (-5 *3 (-1121 (-229)))
- (-5 *1 (-955))))
- ((*1 *1 *2 *2 *3)
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- (-5 *1 (-955))))
- ((*1 *1 *2 *3)
- (-12 (-5 *2 (-663 (-1 (-229) (-229)))) (-5 *3 (-1121 (-229)))
- (-5 *1 (-955))))
- ((*1 *1 *2 *3 *3)
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- ((*1 *1 *2 *3)
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- (-5 *1 (-955))))
- ((*1 *2 *3 *4 *5)
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- ((*1 *1 *2 *2 *2 *2 *3 *3 *3 *3)
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(((*1 *2 *3)
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-(((*1 *2 *2)
- (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2))
- (-4 *2 (-13 (-435 *3) (-1235))))))
+ (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-560))) (-5 *1 (-1079)))))
(((*1 *2 *3)
- (-12 (-5 *3 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1227 *4 *5))
- (-4 *4 (-1133)) (-4 *5 (-1133)))))
+ (-12
+ (-5 *3
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- (-5 *1 (-1308 *5)) (-5 *4 (-1242 *5)))))
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+ (-5 *2 (-1299 (-421 (-560)))) (-5 *1 (-1328 *4)))))
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+ (-12 (-4 *4 (-571)) (-5 *2 (-793)) (-5 *1 (-43 *4 *3))
+ (-4 *3 (-432 *4)))))
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+ (-12 (-5 *1 (-1173 *2 *3)) (-4 *2 (-13 (-1133) (-34)))
+ (-4 *3 (-13 (-1133) (-34))))))
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+(((*1 *2 *3 *4 *4 *4 *4)
+ (-12 (-5 *4 (-229))
+ (-5 *2
+ (-2 (|:| |brans| (-663 (-663 (-973 *4))))
+ (|:| |xValues| (-1121 *4)) (|:| |yValues| (-1121 *4))))
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(((*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)))))
@@ -8604,10 +8239,10 @@
((*1 *2 *1)
(-12 (-4 *1 (-397 *2 *3)) (-4 *3 (-1133)) (-4 *2 (-1081))))
((*1 *2 *1)
- (-12 (-14 *3 (-663 (-1209))) (-4 *5 (-245 (-2093 *3) (-793)))
+ (-12 (-14 *3 (-663 (-1209))) (-4 *5 (-245 (-2086 *3) (-793)))
(-14 *6
- (-1 (-114) (-2 (|:| -3757 *4) (|:| -2561 *5))
- (-2 (|:| -3757 *4) (|:| -2561 *5))))
+ (-1 (-114) (-2 (|:| -3836 *4) (|:| -3562 *5))
+ (-2 (|:| -3836 *4) (|:| -3562 *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))))
@@ -8624,75 +8259,62 @@
((*1 *1 *1 *2)
(-12 (-4 *1 (-1097 *3 *4 *2)) (-4 *3 (-1081)) (-4 *4 (-817))
(-4 *2 (-872)))))
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- (-12 (-5 *2 (-1 *4 *4)) (-4 *4 (-670 *3)) (-4 *3 (-1081))
- (-5 *1 (-736 *3 *4))))
- ((*1 *1 *1 *2)
- (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1081)) (-5 *1 (-858 *3)))))
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- ((*1 *2 *3 *2) (-12 (-5 *2 (-450)) (-5 *3 (-1209)) (-5 *1 (-1212))))
- ((*1 *2 *3 *2 *4 *1)
- (-12 (-5 *2 (-450)) (-5 *3 (-663 (-1209))) (-5 *4 (-1209))
- (-5 *1 (-1212))))
- ((*1 *2 *3 *2 *3 *1)
- (-12 (-5 *2 (-450)) (-5 *3 (-1209)) (-5 *1 (-1212))))
- ((*1 *2 *3 *2 *1)
- (-12 (-5 *2 (-450)) (-5 *3 (-1209)) (-5 *1 (-1213))))
- ((*1 *2 *3 *2 *1)
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(((*1 *2 *3)
- (-12
- (-5 *3
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+ (-12 (-4 *1 (-1244 *3 *4 *5 *2)) (-4 *3 (-571)) (-4 *4 (-817))
+ (-4 *5 (-872)) (-4 *2 (-1097 *3 *4 *5)))))
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+ (-12 (-5 *3 (-448))
+ (-5 *2
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+ (-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)))))
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(((*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))))
((*1 *2 *1)
(-12 (-14 *3 (-663 (-1209))) (-4 *4 (-175))
- (-4 *6 (-245 (-2093 *3) (-793)))
+ (-4 *6 (-245 (-2086 *3) (-793)))
(-14 *7
- (-1 (-114) (-2 (|:| -3757 *5) (|:| -2561 *6))
- (-2 (|:| -3757 *5) (|:| -2561 *6))))
+ (-1 (-114) (-2 (|:| -3836 *5) (|:| -3562 *6))
+ (-2 (|:| -3836 *5) (|:| -3562 *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)
@@ -8701,295 +8323,122 @@
((*1 *1 *1)
(-12 (-4 *1 (-1005 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-816))
(-4 *4 (-872)))))
-(((*1 *2 *1 *3 *4)
- (-12 (-5 *3 (-949)) (-5 *4 (-1191)) (-5 *2 (-1305)) (-5 *1 (-1302)))))
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- (-12 (-5 *3 (-663 *6)) (-4 *6 (-872)) (-4 *4 (-376)) (-4 *5 (-817))
- (-5 *2
- (-2 (|:| |mval| (-711 *4)) (|:| |invmval| (-711 *4))
- (|:| |genIdeal| (-518 *4 *5 *6 *7))))
- (-5 *1 (-518 *4 *5 *6 *7)) (-4 *7 (-980 *4 *5 *6)))))
-(((*1 *1 *2)
- (-12 (-5 *2 (-1 (-973 (-229)) (-973 (-229)))) (-5 *1 (-270))))
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- (-12 (-5 *2 (-1 (-973 (-229)) (-973 (-229)))) (-5 *3 (-663 (-270)))
- (-5 *1 (-271))))
- ((*1 *2 *3 *4)
- (-12 (-5 *4 (-663 (-495 *5 *6))) (-5 *3 (-495 *5 *6))
- (-14 *5 (-663 (-1209))) (-4 *6 (-466)) (-5 *2 (-1299 *6))
- (-5 *1 (-650 *5 *6)))))
-(((*1 *2 *3)
- (-12 (-4 *1 (-863))
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- (-5 *2 (-1067))))
- ((*1 *2 *3)
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(((*1 *2 *2) (-12 (-5 *2 (-949)) (|has| *1 (-6 -4501)) (-4 *1 (-418))))
((*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)))))
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+ (-4 *4 (-1133)) (-5 *1 (-587 *4 *5)))))
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(((*1 *1 *1) (-4 *1 (-250)))
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@@ -8997,7 +8446,7 @@
(-14 *6 (-1 (-3 *4 "failed") *4 *4))
(-14 *7 (-1 (-3 *3 "failed") *3 *3 *4))))
((*1 *1 *1)
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((*1 *1 *1) (-4 *1 (-487)))
((*1 *2 *2) (-12 (-5 *2 (-1299 *3)) (-4 *3 (-363)) (-5 *1 (-542 *3))))
@@ -9006,55 +8455,67 @@
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(-14 *6 (-1 (-3 *2 "failed") *2 *2 *3))))
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(((*1 *2 *3)
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@@ -9089,54 +8550,67 @@
((*1 *1 *2 *3)
(-12 (-5 *2 (-421 (-560))) (-4 *4 (-1081)) (-4 *1 (-1284 *4 *3))
(-4 *3 (-1261 *4)))))
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@@ -9171,48 +8645,42 @@
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@@ -9255,97 +8723,74 @@
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+ (-5 *2 (-1067)) (-5 *1 (-778)))))
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+ (-12 (-5 *3 (-229)) (-5 *4 (-560))
+ (-5 *5 (-3 (|:| |fn| (-402)) (|:| |fp| (-61 -3969))))
+ (-5 *2 (-1067)) (-5 *1 (-770)))))
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+ (-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 (|:| |lfn| (-663 (-326 (-229)))) (|:| -3799 (-663 (-229)))))
+ (-2 (|:| |stiffness| (-391)) (|:| |stability| (-391))
+ (|:| |expense| (-391)) (|:| |accuracy| (-391))
+ (|:| |intermediateResults| (-391))))
+ (-5 *2 (-1067)) (-5 *1 (-315)))))
+(((*1 *2 *3)
+ (-12
+ (-5 *3
+ (-2 (|:| |lfn| (-663 (-326 (-229)))) (|:| -1912 (-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))
@@ -9567,7 +9054,7 @@
(-5 *1 (-981 *4 *5 *6 *7 *3))
(-4 *3
(-13 (-376)
- (-10 -8 (-15 -4236 ($ *7)) (-15 -2253 (*7 $)) (-15 -2264 (*7 $)))))))
+ (-10 -8 (-15 -2375 ($ *7)) (-15 -2327 (*7 $)) (-15 -2338 (*7 $)))))))
((*1 *2 *1)
(-12 (-4 *1 (-1005 *3 *4 *5)) (-4 *3 (-1081)) (-4 *4 (-816))
(-4 *5 (-872)) (-5 *2 (-663 *5))))
@@ -9577,64 +9064,44 @@
((*1 *2 *3)
(-12 (-5 *3 (-421 (-976 *4))) (-4 *4 (-571)) (-5 *2 (-663 (-1209)))
(-5 *1 (-1072 *4)))))
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-(((*1 *1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-1209)))))
-(((*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 *1)
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- (-12 (-5 *2 (-973 *3)) (-4 *3 (-13 (-376) (-1235) (-1034)))
- (-5 *1 (-179 *3)))))
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- (-12 (-5 *3 (-560)) (-5 *5 (-711 (-229))) (-5 *4 (-229))
- (-5 *2 (-1067)) (-5 *1 (-772)))))
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- (-5 *2 (-856 *3)) (-5 *1 (-655 *5 *3))
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+ (-5 *1 (-482)))))
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+ (-12 (-5 *2 (-1299 *4)) (-5 *3 (-1152)) (-4 *4 (-363))
+ (-5 *1 (-542 *4)))))
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+ ((*1 *2 *3 *1)
+ (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872))
+ (-4 *3 (-1097 *4 *5 *6))
+ (-5 *2 (-663 (-2 (|:| |val| (-114)) (|:| -2514 *1))))
+ (-4 *1 (-1103 *4 *5 *6 *3)))))
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+ (-12 (-5 *2 (-1 *3 *3)) (-5 *1 (-544 *3)) (-4 *3 (-13 (-748) (-25))))))
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+ (|partial| -12 (-5 *3 (-793)) (-4 *4 (-319)) (-4 *6 (-1275 *4))
+ (-5 *2 (-1299 (-663 *6))) (-5 *1 (-469 *4 *6)) (-5 *5 (-663 *6)))))
+(((*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)))))
+(((*1 *1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-270))))
+ ((*1 *2 *3 *2)
+ (-12 (-5 *2 (-1191)) (-5 *3 (-663 (-270))) (-5 *1 (-271)))))
+(((*1 *2 *3 *4)
+ (-12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1275 *5)) (-4 *5 (-376))
+ (-5 *2
+ (-2 (|:| |ir| (-597 (-421 *6))) (|:| |specpart| (-421 *6))
+ (|:| |polypart| *6)))
+ (-5 *1 (-588 *5 *6)) (-5 *3 (-421 *6)))))
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(((*1 *2 *3 *4 *2)
(-12 (-5 *3 (-1203 (-421 (-1203 *2)))) (-5 *4 (-630 *2))
(-4 *2 (-13 (-435 *5) (-27) (-1235)))
@@ -9651,68 +9118,81 @@
(-4 *6 (-1081))
(-4 *2
(-13 (-376)
- (-10 -8 (-15 -4236 ($ *7)) (-15 -2253 (*7 $)) (-15 -2264 (*7 $)))))
+ (-10 -8 (-15 -2375 ($ *7)) (-15 -2327 (*7 $)) (-15 -2338 (*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 *3 *4 *4 *3)
- (-12 (-5 *3 (-560)) (-5 *4 (-711 (-229))) (-5 *2 (-1067))
- (-5 *1 (-769)))))
-(((*1 *2 *3 *4 *5)
- (|partial| -12 (-5 *4 (-1209)) (-5 *5 (-663 (-421 (-976 *6))))
- (-5 *3 (-421 (-976 *6)))
- (-4 *6 (-13 (-571) (-1070 (-560)) (-149)))
- (-5 *2
- (-2 (|:| |mainpart| *3)
- (|:| |limitedlogs|
- (-663 (-2 (|:| |coeff| *3) (|:| |logand| *3))))))
- (-5 *1 (-584 *6)))))
+(((*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 (-711 *3))
- (-4 *3 (-13 (-319) (-10 -8 (-15 -3004 ((-419 $) $)))))
+ (-12
+ (-5 *2
+ (-2 (|:| -4238 (-711 *3)) (|:| |basisDen| *3)
+ (|:| |basisInv| (-711 *3))))
+ (-4 *3 (-13 (-319) (-10 -8 (-15 -3332 ((-419 $) $)))))
(-4 *4 (-1275 *3)) (-5 *1 (-513 *3 *4 *5)) (-4 *5 (-424 *3 *4)))))
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- (-4 *2 (-13 (-435 *3) (-1034))))))
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(((*1 *2 *3)
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- (-5 *1 (-942 *4 *5 *6)))))
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- (-4 *1 (-1103 *4 *5 *6 *3)))))
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- (-4 *2 (-13 (-385 *4) (-10 -7 (-6 -4511))))
- (-5 *1 (-689 *4 *5 *2 *3)) (-4 *3 (-708 *4 *5 *2))))
+ (-12
+ (-5 *3
+ (-2 (|:| |xinit| (-229)) (|:| |xend| (-229))
+ (|:| |fn| (-1299 (-326 (-229)))) (|:| |yinit| (-663 (-229)))
+ (|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229)))
+ (|:| |abserr| (-229)) (|:| |relerr| (-229))))
+ (-5 *2 (-391)) (-5 *1 (-208)))))
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+ (-12 (-4 *3 (-571)) (-5 *2 (-663 *4)) (-5 *1 (-43 *3 *4))
+ (-4 *4 (-432 *3)))))
+(((*1 *1 *2) (-12 (-5 *2 (-663 (-888))) (-5 *1 (-888)))))
+(((*1 *1 *2)
+ (-12
+ (-5 *2
+ (-2 (|:| |theta| (-229)) (|:| |phi| (-229)) (|:| -1843 (-229))
+ (|:| |scaleX| (-229)) (|:| |scaleY| (-229)) (|:| |scaleZ| (-229))
+ (|:| |deltaX| (-229)) (|:| |deltaY| (-229))))
+ (-5 *1 (-270))))
((*1 *2 *3 *2)
- (|partial| -12 (-5 *2 (-1299 *4)) (-5 *3 (-711 *4)) (-4 *4 (-376))
- (-5 *1 (-690 *4))))
- ((*1 *2 *3 *2 *4 *5)
- (|partial| -12 (-5 *4 (-663 *2)) (-5 *5 (-1 *2 *2)) (-4 *2 (-376))
- (-5 *1 (-838 *2 *3)) (-4 *3 (-680 *2))))
- ((*1 *2 *3)
- (-12 (-4 *2 (-13 (-376) (-10 -8 (-15 ** ($ $ (-421 (-560)))))))
- (-5 *1 (-1160 *3 *2)) (-4 *3 (-1275 *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))))
+ ((*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)))))
(((*1 *1 *2 *3)
(-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-816))))
((*1 *1 *2 *3)
@@ -9720,10 +9200,10 @@
(-4 *2 (-376)) (-14 *5 (-1025 *4 *2))))
((*1 *1 *2 *3)
(-12 (-5 *3 (-735 *5 *6 *7)) (-4 *5 (-872))
- (-4 *6 (-245 (-2093 *4) (-793)))
+ (-4 *6 (-245 (-2086 *4) (-793)))
(-14 *7
- (-1 (-114) (-2 (|:| -3757 *5) (|:| -2561 *6))
- (-2 (|:| -3757 *5) (|:| -2561 *6))))
+ (-1 (-114) (-2 (|:| -3836 *5) (|:| -3562 *6))
+ (-2 (|:| -3836 *5) (|:| -3562 *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)
@@ -9753,294 +9233,269 @@
((*1 *1 *1 *2 *3)
(-12 (-4 *1 (-1005 *4 *3 *2)) (-4 *4 (-1081)) (-4 *3 (-816))
(-4 *2 (-872)))))
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(((*1 *2 *1) (-12 (-4 *1 (-168 *2)) (-4 *2 (-175))))
((*1 *2 *3)
(-12 (-4 *4 (-13 (-571) (-1070 (-560)))) (-5 *2 (-326 *4))
@@ -10192,37 +9674,42 @@
(-12 (-4 *3 (-13 (-466) (-1070 (-560)) (-660 (-560))))
(-5 *1 (-1239 *3 *2)) (-4 *2 (-13 (-27) (-1235) (-435 *3))))))
(((*1 *2 *3 *4)
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- (-2361 (-4 *5 (-376))) (-4 *5 (-571)) (-5 *2 (-1299 (-421 *5)))
- (-5 *1 (-658 *5 *4)))))
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+ (-4 *2 (-13 (-435 *3) (-1034))))))
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+ (-2 (|:| |stiffnessFactor| (-391)) (|:| |stabilityFactor| (-391))))
+ (-5 *1 (-208)))))
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- (-12 (-5 *3 (-711 (-229))) (-5 *4 (-560)) (-5 *2 (-1067))
- (-5 *1 (-777)))))
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+ (-4 *3 (-1006)))))
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+ ((*1 *2) (-12 (-5 *2 (-391)) (-5 *1 (-1303)))))
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+ (-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)))))
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(((*1 *2 *1) (-12 (-4 *1 (-168 *2)) (-4 *2 (-175))))
((*1 *2 *3)
(-12 (-4 *4 (-13 (-571) (-1070 (-560)))) (-5 *2 (-326 *4))
@@ -10232,26 +9719,58 @@
((*1 *2 *2)
(-12 (-4 *3 (-13 (-466) (-1070 (-560)) (-660 (-560))))
(-5 *1 (-1239 *3 *2)) (-4 *2 (-13 (-27) (-1235) (-435 *3))))))
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- (-5 *2 (-663 *1)) (-4 *1 (-1097 *3 *4 *5)))))
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+ ((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-5 *1 (-905 *2)) (-4 *2 (-1249))))
+ ((*1 *2 *1 *3) (-12 (-5 *3 (-793)) (-5 *1 (-908 *2)) (-4 *2 (-1249)))))
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+ (-12 (-5 *3 (-1191)) (-5 *4 (-560)) (-5 *5 (-711 (-229)))
+ (-5 *2 (-1067)) (-5 *1 (-779)))))
+(((*1 *2 *1)
+ (-12 (-5 *2 (-663 (-2 (|:| |k| (-1209)) (|:| |c| (-1321 *3)))))
+ (-5 *1 (-1321 *3)) (-4 *3 (-1081))))
+ ((*1 *2 *1)
+ (-12 (-5 *2 (-663 (-2 (|:| |k| *3) (|:| |c| (-1324 *3 *4)))))
+ (-5 *1 (-1324 *3 *4)) (-4 *3 (-872)) (-4 *4 (-1081)))))
(((*1 *1 *1)
(-12 (-5 *1 (-352 *2 *3 *4)) (-14 *2 (-663 (-1209)))
(-14 *3 (-663 (-1209))) (-4 *4 (-401))))
@@ -10261,72 +9780,56 @@
((*1 *1 *2) (-12 (-5 *2 (-421 (-560))) (-4 *1 (-1044))))
((*1 *1 *1 *2) (-12 (-4 *1 (-1044)) (-5 *2 (-949))))
((*1 *1 *1) (-4 *1 (-1044))))
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- (|partial| -12 (-5 *2 (-663 (-916 *3))) (-5 *1 (-916 *3))
- (-4 *3 (-1133)))))
-(((*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 *1)
- (-12 (-4 *4 (-466)) (-4 *5 (-817)) (-4 *6 (-872))
- (-4 *3 (-1097 *4 *5 *6))
- (-5 *2 (-663 (-2 (|:| |val| (-114)) (|:| -2453 *1))))
- (-4 *1 (-1103 *4 *5 *6 *3)))))
-(((*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 *2 (-1299 (-1209))) (-5 *3 (-1299 (-467 *4 *5 *6 *7)))
- (-5 *1 (-467 *4 *5 *6 *7)) (-4 *4 (-175)) (-14 *5 (-949))
- (-14 *6 (-663 (-1209))) (-14 *7 (-1299 (-711 *4)))))
- ((*1 *1 *2 *3)
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- (-14 *6 (-663 *2)) (-14 *7 (-1299 (-711 *4)))))
- ((*1 *1 *2)
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- (-4 *3 (-175)) (-14 *4 (-949)) (-14 *5 (-663 (-1209)))
- (-14 *6 (-1299 (-711 *3)))))
- ((*1 *1 *2)
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((*1 *2 *3)
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- (-4 *3 (-1275 *4)))))
-(((*1 *2 *3) (-12 (-5 *3 (-888)) (-5 *2 (-1191)) (-5 *1 (-732)))))
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(((*1 *2 *1)
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- (-5 *1 (-227 *3 *4)) (-14 *4 (-663 (-1209))))))
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(((*1 *2 *2 *3)
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- (-4 *6 (-1275 *5)) (-4 *7 (-1275 (-421 *6)))
- (-5 *2
- (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1369 (-663 *4))))
- (-5 *1 (-830 *5 *6 *7 *4)))))
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+ (|partial| -12 (-5 *1 (-1173 *2 *3)) (-4 *2 (-13 (-1133) (-34)))
+ (-4 *3 (-13 (-1133) (-34))))))
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(((*1 *2 *3 *4)
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@@ -10375,8 +9878,8 @@
(-12
(-4 *4
(-13 (-872)
- (-10 -8 (-15 -2260 ((-1209) $))
- (-15 -1934 ((-3 $ "failed") (-1209))))))
+ (-10 -8 (-15 -2312 ((-1209) $))
+ (-15 -1989 ((-3 $ "failed") (-1209))))))
(-4 *5 (-817)) (-4 *7 (-571)) (-5 *2 (-419 *3))
(-5 *1 (-470 *4 *5 *6 *7 *3)) (-4 *6 (-571))
(-4 *3 (-980 *7 *5 *4))))
@@ -10425,13 +9928,13 @@
(-12 (-4 *4 (-817))
(-4 *5
(-13 (-872)
- (-10 -8 (-15 -2260 ((-1209) $))
- (-15 -1934 ((-3 $ "failed") (-1209))))))
+ (-10 -8 (-15 -2312 ((-1209) $))
+ (-15 -1989 ((-3 $ "failed") (-1209))))))
(-4 *6 (-319)) (-5 *2 (-419 *3)) (-5 *1 (-752 *4 *5 *6 *3))
(-4 *3 (-980 (-976 *6) *4 *5))))
((*1 *2 *3)
(-12 (-4 *4 (-817))
- (-4 *5 (-13 (-872) (-10 -8 (-15 -2260 ((-1209) $))))) (-4 *6 (-571))
+ (-4 *5 (-13 (-872) (-10 -8 (-15 -2312 ((-1209) $))))) (-4 *6 (-571))
(-5 *2 (-419 *3)) (-5 *1 (-754 *4 *5 *6 *3))
(-4 *3 (-980 (-421 (-976 *6)) *4 *5))))
((*1 *2 *3)
@@ -10467,189 +9970,136 @@
((*1 *2 *1) (-12 (-5 *2 (-419 *1)) (-4 *1 (-1254))))
((*1 *2 *3)
(-12 (-5 *2 (-419 *3)) (-5 *1 (-1265 *3)) (-4 *3 (-1275 (-560))))))
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+ (-12 (-5 *3 (-949)) (-5 *2 (-1299 (-1299 (-560)))) (-5 *1 (-480)))))
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+ (-12 (-5 *2 (-1197 3 *3)) (-4 *3 (-1081)) (-4 *1 (-1166 *3))))
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(((*1 *2 *1 *3)
(-12 (-5 *3 (-630 *1)) (-4 *1 (-435 *4)) (-4 *4 (-1133))
(-4 *4 (-571)) (-5 *2 (-421 (-1203 *1)))))
@@ -10673,54 +10123,49 @@
(-5 *1 (-981 *5 *4 *6 *7 *3))
(-4 *3
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@@ -10748,126 +10193,76 @@
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+ (-2 (|:| |Smith| *3) (|:| |leftEqMat| *3) (|:| |rightEqMat| *3)))
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(((*1 *2 *1) (-12 (-5 *1 (-713 *2)) (-4 *2 (-632 (-888)))))
((*1 *2 *1) (-12 (-5 *2 (-1191)) (-5 *1 (-901))))
((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-901))))
@@ -10908,58 +10303,76 @@
((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-1214))))
((*1 *2 *1) (-12 (-5 *2 (-229)) (-5 *1 (-1214))))
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(((*1 *2 *3)
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((*1 *2 *3 *4)
@@ -11008,18 +10421,41 @@
(-12 (-5 *3 (-326 (-171 *5))) (-5 *4 (-949)) (-4 *5 (-571))
(-4 *5 (-872)) (-4 *5 (-633 (-391))) (-5 *2 (-171 (-391)))
(-5 *1 (-807 *5)))))
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+ (-5 *3
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(((*1 *1 *1) (-4 *1 (-34))) ((*1 *1 *1) (-5 *1 (-115)))
((*1 *1 *1) (-5 *1 (-174))) ((*1 *1 *1) (-4 *1 (-559)))
((*1 *1 *1) (-12 (-5 *1 (-916 *2)) (-4 *2 (-1133))))
@@ -11027,128 +10463,93 @@
((*1 *1 *1)
(-12 (-5 *1 (-1172 *2 *3)) (-4 *2 (-13 (-1133) (-34)))
(-4 *3 (-13 (-1133) (-34))))))
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+ (-12 (-5 *3 (-560)) (-5 *5 (-711 (-229))) (-5 *4 (-229))
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(((*1 *2 *3 *4)
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+ (-5 *1 (-41 *3 *2)) (-4 *2 (-435 *3))
+ (-4 *2
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+ (-10 -8 (-15 -2327 ((-1157 *3 (-630 $)) $))
+ (-15 -2338 ((-1157 *3 (-630 $)) $))
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+ (-5 *4 (-1 (-114) *9 *9)) (-5 *5 (-1 *9 *9 *9))
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(((*1 *2 *1 *3 *3 *2)
(-12 (-5 *3 (-560)) (-4 *1 (-57 *2 *4 *5)) (-4 *2 (-1249))
(-4 *4 (-385 *2)) (-4 *5 (-385 *2))))
@@ -11183,8 +10584,296 @@
((*1 *2 *1 *3 *2)
(-12 (-5 *3 "first") (|has| *1 (-6 -4511)) (-4 *1 (-1288 *2))
(-4 *2 (-1249)))))
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+ (-4 *3 (-1097 *5 *6 *7)) (-5 *2 (-114))
+ (-5 *1 (-1104 *5 *6 *7 *3 *4)) (-4 *4 (-1103 *5 *6 *7 *3))))
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+ (-5 *2
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+ (|:| |success| (-114))))
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@@ -11213,14 +10902,14 @@
(-12 (-5 *3 (-1209)) (-5 *2 (-252 (-1191))) (-5 *1 (-217 *4))
(-4 *4
(-13 (-872)
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((*1 *1 *1 *2)
(-12 (-5 *2 (-1021)) (-5 *1 (-217 *3))
(-4 *3
(-13 (-872)
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((*1 *2 *1 *3)
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((*1 *1 *1 *2) (-12 (-5 *2 "sort") (-5 *1 (-252 *3)) (-4 *3 (-872))))
@@ -11284,292 +10973,354 @@
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((*1 *2 *1 *3)
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- (-12 (-4 *4 (-571)) (-5 *2 (-663 *3)) (-5 *1 (-43 *4 *3))
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+ (-12
+ (-5 *3
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+ (-4 *6 (-817)) (-4 *7 (-872)) (-5 *1 (-1313 *5 *6 *7 *8)))))
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+ (-12 (-5 *2 (-520)) (-5 *3 (-663 (-1214))) (-5 *1 (-1214)))))
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(((*1 *1 *1 *2)
(-12 (-4 *1 (-47 *2 *3)) (-4 *2 (-1081)) (-4 *3 (-816))
(-4 *2 (-376))))
((*1 *1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-229))))
((*1 *1 *1 *1)
- (-2179 (-12 (-5 *1 (-305 *2)) (-4 *2 (-376)) (-4 *2 (-1249)))
+ (-2171 (-12 (-5 *1 (-305 *2)) (-4 *2 (-376)) (-4 *2 (-1249)))
(-12 (-5 *1 (-305 *2)) (-4 *2 (-487)) (-4 *2 (-1249)))))
((*1 *1 *1 *1) (-4 *1 (-376)))
((*1 *1 *1 *2) (-12 (-5 *2 (-560)) (-5 *1 (-391))))
@@ -11617,62 +11368,50 @@
((*1 *1 *1 *2)
(-12 (-5 *1 (-1323 *2 *3)) (-4 *2 (-376)) (-4 *2 (-1081))
(-4 *3 (-870)))))
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- ((*1 *1 *2 *1)
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- ((*1 *1 *2 *1)
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- (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-1133)) (-5 *1 (-671 *3 *4 *5))
- (-4 *4 (-23)) (-14 *5 *4))))
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- (-4 *3 (-1097 *5 *6 *7))
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+ (-4 *6 (-1097 *4 *5 *3))
+ (-5 *2 (-2 (|:| |under| *1) (|:| -4313 *1) (|:| |upper| *1)))
+ (-4 *1 (-1008 *4 *5 *3 *6)))))
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+ (-12 (-4 *3 (-466)) (-5 *1 (-1241 *3 *2))
+ (-4 *2 (-13 (-435 *3) (-1235))))))
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(((*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)
(-12 (-5 *1 (-217 *2))
(-4 *2
(-13 (-872)
- (-10 -8 (-15 -2492 ((-1191) $ (-1209))) (-15 -1716 ((-1305) $))
- (-15 -3603 ((-1305) $)))))))
+ (-10 -8 (-15 -2481 ((-1191) $ (-1209))) (-15 -1696 ((-1305) $))
+ (-15 -4265 ((-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)
@@ -11693,42 +11432,68 @@
((*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)))))
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-(((*1 *2 *1) (-12 (-4 *1 (-541)) (-5 *2 (-713 (-130))))))
-(((*1 *2 *1 *1)
- (-12 (-4 *3 (-376)) (-4 *3 (-1081))
- (-5 *2 (-2 (|:| |coef1| *1) (|:| |coef2| *1) (|:| -2403 *1)))
- (-4 *1 (-877 *3)))))
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- (-12 (-5 *3 (-1299 *1)) (-5 *4 (-1 *5 *5)) (-4 *5 (-376))
- (-4 *1 (-746 *5 *6)) (-4 *5 (-175)) (-4 *6 (-1275 *5))
- (-5 *2 (-711 *5)))))
-(((*1 *2 *1)
- (-12 (-4 *1 (-1298 *2)) (-4 *2 (-1249)) (-4 *2 (-1034))
- (-4 *2 (-1081)))))
+ (-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 (-1 (-973 (-229)) (-229) (-229)))
- (-5 *3 (-1 (-229) (-229) (-229) (-229))) (-5 *1 (-265)))))
+ (-12 (-5 *2 (-663 (-663 (-973 (-229))))) (-5 *3 (-663 (-899)))
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((*1 *1 *1 *1)
(-12 (-5 *1 (-217 *2))
(-4 *2
(-13 (-872)
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((*1 *1 *2 *1) (-12 (-5 *1 (-305 *2)) (-4 *2 (-25)) (-4 *2 (-1249))))
((*1 *1 *2 *1)
@@ -11751,56 +11516,42 @@
(-12 (-5 *2 (-1187 *3)) (-4 *3 (-1081)) (-5 *1 (-1193 *3))))
((*1 *2 *2 *2) (-12 (-5 *2 (-973 (-229))) (-5 *1 (-1246))))
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(((*1 *2 *1 *3)
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((*1 *2 *1 *3)
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((*1 *2 *1 *3)
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((*1 *2 *1 *3)
- (-12 (-5 *3 (|[\|\|]| -4035)) (-5 *2 (-114)) (-5 *1 (-713 *4))
+ (-12 (-5 *3 (|[\|\|]| -4124)) (-5 *2 (-114)) (-5 *1 (-713 *4))
(-4 *4 (-632 (-888)))))
((*1 *2 *1 *3)
(-12 (-5 *3 (|[\|\|]| *4)) (-4 *4 (-632 (-888))) (-5 *2 (-114))
@@ -11884,544 +11635,703 @@
((*1 *2 *1 *3)
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(((*1 *2 *1)
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- (-14 *4 (-663 (-1209)))))
- ((*1 *1) (-12 (-4 *1 (-341 *2)) (-4 *2 (-381)) (-4 *2 (-376))))
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((*1 *2 *1)
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- ((*1 *1) (-12 (-4 *2 (-175)) (-4 *1 (-746 *2 *3)) (-4 *3 (-1275 *2)))))
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(((*1 *2 *3)
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(((*1 *1 *2) (-12 (-5 *2 (-663 *1)) (-4 *1 (-466))))
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((*1 *2 *3)
@@ -12450,101 +12360,409 @@
((*1 *2 *2 *1)
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((*1 *1 *1 *1)
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((*1 *1 *2 *1)
(-12 (-14 *3 (-663 (-1209))) (-4 *4 (-175))
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@@ -12648,519 +12866,154 @@
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+ (-5 *2 (-1203 (-976 *3)))))
+ ((*1 *2)
+ (-12 (-5 *2 (-1203 (-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)
(|partial| -12
(-5 *3
(-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
+ (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
(|:| |relerr| (-229))))
(-5 *2
(-2
@@ -13648,7 +13359,7 @@
(-3 (|:| |str| (-1187 (-229)))
(|:| |notEvaluated|
"Internal singularities not yet evaluated")))
- (|:| -3846
+ (|:| -1623
(-3 (|:| |finite| "The range is finite")
(|:| |lowerInfinite| "The bottom of range is infinite")
(|:| |upperInfinite| "The top of range is infinite")
@@ -13656,470 +13367,187 @@
"Both top and bottom points are infinite")
(|:| |notEvaluated| "Range not yet evaluated")))))
(-5 *1 (-574)))))
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- (-12 (-5 *2 (-663 *3)) (-4 *3 (-1133)) (-5 *1 (-1032 *3)))))
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+ (-12
(-5 *2
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(((*1 *2 *3 *3 *3)
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@@ -14129,32 +13557,296 @@
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(((*1 *2 *3)
(-12
(-5 *3
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(-2
(|:| |endPointContinuity|
(-3 (|:| |continuous| "Continuous at the end points")
@@ -15036,744 +14192,215 @@
(-3 (|:| |str| (-1187 (-229)))
(|:| |notEvaluated|
"Internal singularities not yet evaluated")))
- (|:| -3846
+ (|:| -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")))))
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- (-14 *5 (-663 (-1209))) (-14 *6 (-1299 (-711 *3))))))
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+ (-5 *2 (-1299 (-711 (-976 *4)))) (-5 *1 (-192 *4)))))
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+ (-12 (-4 *4 (-376)) (-4 *5 (-817)) (-4 *6 (-872)) (-5 *2 (-114))
+ (-5 *1 (-518 *4 *5 *6 *3)) (-4 *3 (-980 *4 *5 *6)))))
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+(((*1 *2 *2 *2)
+ (-12 (-4 *3 (-571)) (-5 *1 (-1001 *3 *2)) (-4 *2 (-1275 *3))))
+ ((*1 *1 *1 *1)
+ (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817))
+ (-4 *4 (-872)) (-4 *2 (-571))))
+ ((*1 *1 *1 *1)
+ (-12 (-4 *1 (-1275 *2)) (-4 *2 (-1081)) (-4 *2 (-571)))))
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+ ((*1 *2 *2 *2) (-12 (-5 *2 (-229)) (-5 *1 (-230))))
((*1 *2 *2 *2) (-12 (-5 *2 (-171 (-229))) (-5 *1 (-230))))
((*1 *2 *2 *2)
(-12 (-4 *3 (-571)) (-5 *1 (-445 *3 *2)) (-4 *2 (-435 *3))))
+ ((*1 *2 *3 *3)
+ (-12 (-5 *3 (-793)) (-5 *2 (-1 (-391))) (-5 *1 (-1073))))
((*1 *1 *1 *1) (-4 *1 (-1171))))
-(((*1 *2 *3 *3)
- (-12 (-4 *4 (-571))
- (-5 *2
- (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| |subResultant| *3)))
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- (-12 (-5 *4 (-1 *3 *3)) (-4 *3 (-1275 *5)) (-4 *5 (-376))
- (-5 *2 (-2 (|:| -4024 (-419 *3)) (|:| |special| (-419 *3))))
- (-5 *1 (-749 *5 *3)))))
-(((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-888) (-888))) (-5 *1 (-115))))
- ((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-888) (-663 (-888)))) (-5 *1 (-115))))
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- (-12 (-5 *2 (-793)) (-5 *1 (-697 *3)) (-4 *3 (-1081))
- (-4 *3 (-1133)))))
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- (-5 *2 (-2 (|:| |goodPols| (-663 *7)) (|:| |badPols| (-663 *7))))
- (-5 *1 (-1009 *4 *5 *6 *7)) (-5 *3 (-663 *7)))))
-(((*1 *2 *3 *4 *5 *6 *5 *3 *7)
- (-12 (-5 *4 (-560))
- (-5 *6
- (-2 (|:| |tryValue| (-391)) (|:| |did| (-391)) (|:| -1438 (-391))))
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- (-12 (-5 *4 (-560))
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- (-12 (-5 *3 (-1 *5 *4 *4)) (-4 *4 (-1133)) (-4 *5 (-1133))
- (-5 *2 (-1 *5 *4)) (-5 *1 (-705 *4 *5)))))
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-(((*1 *2 *3 *3 *3 *3 *3 *3 *3 *3 *4 *5 *5 *5 *5 *5 *5 *6 *6 *6 *3 *3 *5
- *7 *3 *8)
- (-12 (-5 *5 (-711 (-229))) (-5 *6 (-114)) (-5 *7 (-711 (-560)))
- (-5 *8 (-3 (|:| |fn| (-402)) (|:| |fp| (-65 QPHESS))))
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- (-12 (-5 *3 (-949)) (-5 *2 (-1211 (-421 (-560)))) (-5 *1 (-193)))))
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- (-5 *1 (-116 *4)) (-4 *4 (-1133)))))
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- (-12 (-4 *1 (-1097 *2 *3 *4)) (-4 *2 (-1081)) (-4 *3 (-817))
- (-4 *4 (-872)) (-4 *2 (-466)))))
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(((*1 *2 *3) (-12 (-5 *3 (-976 (-229))) (-5 *2 (-229)) (-5 *1 (-315)))))
(((*1 *2 *1)
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- (|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)))))
+ (-12 (-4 *1 (-1136 *3 *4 *5 *6 *2)) (-4 *3 (-1133)) (-4 *4 (-1133))
+ (-4 *5 (-1133)) (-4 *6 (-1133)) (-4 *2 (-1133)))))
+(((*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 *3)
+ (-12 (-5 *3 (-663 (-1209))) (-5 *2 (-1305)) (-5 *1 (-1252))))
+ ((*1 *2 *3 *3)
+ (-12 (-5 *3 (-663 (-1209))) (-5 *2 (-1305)) (-5 *1 (-1252)))))
+(((*1 *2 *3 *1)
+ (-12 (-4 *1 (-1008 *4 *5 *6 *3)) (-4 *4 (-1081)) (-4 *5 (-817))
+ (-4 *6 (-872)) (-4 *3 (-1097 *4 *5 *6)) (-4 *4 (-571))
+ (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))))))
+(((*1 *2) (-12 (-5 *2 (-1191)) (-5 *1 (-1219)))))
+(((*1 *2 *1) (-12 (-5 *2 (-114)) (-5 *1 (-448)))))
+(((*1 *2 *3 *1)
+ (|partial| -12 (-4 *1 (-36 *3 *4)) (-4 *3 (-1133)) (-4 *4 (-1133))
+ (-5 *2 (-2 (|:| -3672 *3) (|:| -1922 *4))))))
+(((*1 *2)
+ (-12 (-4 *1 (-355 *3 *4 *5)) (-4 *3 (-1254)) (-4 *4 (-1275 *3))
+ (-4 *5 (-1275 (-421 *4))) (-5 *2 (-711 (-421 *4))))))
+(((*1 *1 *2 *2 *2 *2) (-12 (-4 *1 (-1030 *2)) (-4 *2 (-175)))))
+(((*1 *2 *1) (-12 (-5 *1 (-597 *2)) (-4 *2 (-376)))))
(((*1 *1 *2 *1) (-12 (-4 *1 (-107 *2)) (-4 *2 (-1249))))
((*1 *1 *2 *1) (-12 (-5 *1 (-123 *2)) (-4 *2 (-872))))
((*1 *1 *2 *1) (-12 (-5 *1 (-128 *2)) (-4 *2 (-872))))
@@ -15785,11 +14412,11 @@
(-12
(-5 *2
(-2
- (|:| -1684
+ (|:| -3672
(-2 (|:| |var| (-1209)) (|:| |fn| (-326 (-229)))
- (|:| -3846 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
+ (|:| -1623 (-1121 (-866 (-229)))) (|:| |abserr| (-229))
(|:| |relerr| (-229))))
- (|:| -1868
+ (|:| -1922
(-2
(|:| |endPointContinuity|
(-3 (|:| |continuous| "Continuous at the end points")
@@ -15805,7 +14432,7 @@
(-3 (|:| |str| (-1187 (-229)))
(|:| |notEvaluated|
"Internal singularities not yet evaluated")))
- (|:| -3846
+ (|:| -1623
(-3 (|:| |finite| "The range is finite")
(|:| |lowerInfinite|
"The bottom of range is infinite")
@@ -15820,12 +14447,12 @@
(-12
(-5 *2
(-2
- (|:| -1684
+ (|:| -3672
(-2 (|:| |xinit| (-229)) (|:| |xend| (-229))
(|:| |fn| (-1299 (-326 (-229)))) (|:| |yinit| (-663 (-229)))
(|:| |intvals| (-663 (-229))) (|:| |g| (-326 (-229)))
(|:| |abserr| (-229)) (|:| |relerr| (-229))))
- (|:| -1868
+ (|:| -1922
(-2 (|:| |stiffness| (-391)) (|:| |stability| (-391))
(|:| |expense| (-391)) (|:| |accuracy| (-391))
(|:| |intermediateResults| (-391))))))
@@ -15833,12 +14460,149 @@
((*1 *2 *3 *4)
(-12 (-5 *2 (-1305)) (-5 *1 (-1227 *3 *4)) (-4 *3 (-1133))
(-4 *4 (-1133)))))
-(((*1 *2 *1 *2) (-12 (-5 *2 (-114)) (-5 *1 (-174))))
- ((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-1302))))
- ((*1 *2 *1) (-12 (-5 *2 (-1305)) (-5 *1 (-1303)))))
+(((*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))))
+ ((*1 *2 *1)
+ (-12 (-4 *1 (-708 *2 *3 *4)) (-4 *3 (-385 *2)) (-4 *4 (-385 *2))
+ (|has| *2 (-6 (-4512 "*"))) (-4 *2 (-1081))))
+ ((*1 *2 *3)
+ (-12 (-4 *4 (-385 *2)) (-4 *5 (-385 *2)) (-4 *2 (-175))
+ (-5 *1 (-710 *2 *4 *5 *3)) (-4 *3 (-708 *2 *4 *5))))
+ ((*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 *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 -1989 ((-3 $ "failed") (-1209))))))
+ (-4 *4 (-1081)) (-4 *5 (-817)) (-5 *1 (-1016 *4 *5 *6 *2))
+ (-4 *2 (-980 (-976 *4) *5 *6)))))
+(((*1 *2 *1) (-12 (-4 *1 (-236 *2)) (-4 *2 (-1249))))
+ ((*1 *1 *1 *2) (-12 (-4 *1 (-239)) (-5 *2 (-793))))
+ ((*1 *1 *1 *2 *3)
+ (-12 (-5 *2 (-1 *4 *4)) (-5 *3 (-793)) (-4 *1 (-274 *4))
+ (-4 *4 (-1249))))
+ ((*1 *1 *1 *2)
+ (-12 (-5 *2 (-1 *3 *3)) (-4 *1 (-274 *3)) (-4 *3 (-1249))))
+ ((*1 *1 *1 *2)
+ (-12 (-5 *2 (-1 *4 *4)) (-4 *1 (-355 *3 *4 *5)) (-4 *3 (-1254))
+ (-4 *4 (-1275 *3)) (-4 *5 (-1275 (-421 *4)))))
+ ((*1 *2 *1 *3)
+ (-12 (-4 *2 (-376)) (-4 *2 (-928 *3)) (-5 *1 (-597 *2))
+ (-5 *3 (-1209))))
+ ((*1 *2 *1 *3)
+ (-12 (-5 *3 (-1 *2 *2)) (-5 *1 (-597 *2)) (-4 *2 (-376))))
+ ((*1 *1 *1 *2) (-12 (-5 *2 (-793)) (-5 *1 (-888))))
+ ((*1 *2 *1 *3)
+ (-12 (-4 *1 (-922 *2 *3)) (-4 *3 (-1249)) (-4 *2 (-1249))))
+ ((*1 *1 *1 *2 *3)
+ (-12 (-5 *2 (-663 *4)) (-5 *3 (-663 (-793))) (-4 *1 (-930 *4))
+ (-4 *4 (-1133))))
+ ((*1 *1 *1 *2 *3)
+ (-12 (-5 *3 (-793)) (-4 *1 (-930 *2)) (-4 *2 (-1133))))
+ ((*1 *1 *1 *2)
+ (-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)))))
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+(((*1 *2 *2)
+ (-12 (-5 *2 (-114)) (-5 *1 (-456 *3)) (-4 *3 (-1275 (-560))))))
+(((*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)))))
+(((*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))
+ (|:| |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")))
+ (|:| -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) (-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 *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))))
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@@ -15973,505 +15409,575 @@
((*1 *2 *3)
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(-5 *2 (-1299 (-711 *4))) (-5 *1 (-1118 *4)))))
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+ (|:| |lowerSingular|
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+ (|:| |upperSingular|
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+ (|:| |bothSingular| "There are singularities at both end points")
+ (|:| |notEvaluated| "End point continuity not yet evaluated")))
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(((*1 *2 *3)
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(-5 *1 (-705 *4 *5)) (-4 *4 (-1133))))
@@ -16680,45 +16163,87 @@
(-12 (-4 *1 (-1319 *3 *2)) (-4 *3 (-872)) (-4 *2 (-1081))))
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((*1 *1 *2 *3) (-12 (-5 *2 (-1209)) (-5 *3 (-1191)) (-5 *1 (-1021))))
((*1 *1 *2 *3)
@@ -16727,293 +16252,231 @@
((*1 *1 *2 *3)
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(-5 *1 (-1124 *4)))))
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- (-12
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@@ -17348,181 +16814,139 @@
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@@ -17540,823 +16964,1400 @@
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((*1 *2 *3 *3 *3 *3)
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generated by cgit v1.2.3 (git 2.39.1) at 2024-07-04 20:29:42 +0000