diff options
| author | dos-reis <gdr@axiomatics.org> | 2008-08-31 20:28:57 +0000 |
|---|---|---|
| committer | dos-reis <gdr@axiomatics.org> | 2008-08-31 20:28:57 +0000 |
| commit | c7514825ba2dfd72261b2049d826c36b2e5c0593 (patch) | |
| tree | c791e0ca6693ad12f0a651258400ce758e019f61 /src/share | |
| parent | 8483558c6e9bcbe9dd464981f0a8fe5922a9809b (diff) | |
| download | open-axiom-c7514825ba2dfd72261b2049d826c36b2e5c0593.tar.gz | |
* algebra/aggcat.spad.pamphlet (FiniteLinearAggregate): Remove
duplicate definition of reverse.
* algebra/algcat.spad.pamphlet (FramedAlgebra): Remove duplicate
definition of regularRepresentation. Explicitly disambiguate
the argument of coodinates.
* algebra/efupxs.spad.pamphlet
(ElementaryFunctionsUnivariatePuiseuxSeries): Remove duplicate
definition of asinhIfCan, acoshIfCan, asechIfCan, acshIfCan.
* algebra/equation2.spad.pamphlet (Equation): Remove duplicate
definition of *: (S,%) -> %.
* algebra/fortpak.spad.pamphlet (MultiVariableCalculusFunctions):
Remove duplicate definition of jacobian.
* algebra/tree.spad.pamphlet (BinaryTree): Remove duplicate
definition of empty.
Diffstat (limited to 'src/share')
| -rw-r--r-- | src/share/algebra/browse.daase | 182 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 2 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1290 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 6746 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 25082 |
5 files changed, 16651 insertions, 16651 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 97204fdf..63fb62b1 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,12 +1,12 @@ -(2243771 . 3429152923) +(2243771 . 3429202589) (-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 NIL (-19 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."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-20 S) ((|constructor| (NIL "The class of abelian groups,{} \\spadignore{i.e.} additive monoids where each element has an additive inverse. \\blankline")) (* (($ (|Integer|) $) "\\spad{n*x} is the product of \\spad{x} by the integer \\spad{n}.")) (- (($ $ $) "\\spad{x-y} is the difference of \\spad{x} and \\spad{y} \\spadignore{i.e.} \\spad{x + (-y)}.") (($ $) "\\spad{-x} is the additive inverse of \\spad{x}."))) @@ -46,7 +46,7 @@ NIL NIL (-29 R) ((|constructor| (NIL "Model for algebraically closed function spaces.")) (|zerosOf| (((|List| $) $ (|Symbol|)) "\\spad{zerosOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible,{} and otherwise as implicit algebraic quantities which display as \\spad{'yi}. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{zerosOf(p)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}. The \\spad{yi}\\spad{'s} are expressed in radicals if possible. The returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable.")) (|zeroOf| (($ $ (|Symbol|)) "\\spad{zeroOf(p,{} y)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity which displays as \\spad{'y}.") (($ $) "\\spad{zeroOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. The value \\spad{y} is expressed in terms of radicals if possible,{}and otherwise as an implicit algebraic quantity. Error: if \\spad{p} has more than one variable.")) (|rootsOf| (((|List| $) $ (|Symbol|)) "\\spad{rootsOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}; The returned roots display as \\spad{'y1},{}...,{}\\spad{'yn}. Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values.") (((|List| $) $) "\\spad{rootsOf(p,{} y)} returns \\spad{[y1,{}...,{}yn]} such that \\spad{p(\\spad{yi}) = 0}; Note: the returned symbols \\spad{y1},{}...,{}\\spad{yn} are bound in the interpreter to respective root values. Error: if \\spad{p} has more than one variable \\spad{y}.")) (|rootOf| (($ $ (|Symbol|)) "\\spad{rootOf(p,{}y)} returns \\spad{y} such that \\spad{p(y) = 0}. The object returned displays as \\spad{'y}.") (($ $) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) -((-4267 . T) (-4265 . T) (-4264 . T) ((-4272 "*") . T) (-4263 . T) (-4268 . T) (-4262 . T) (-4103 . T)) +((-4267 . T) (-4265 . T) (-4264 . T) ((-4272 "*") . T) (-4263 . T) (-4268 . T) (-4262 . T) (-4102 . T)) NIL (-30) ((|constructor| (NIL "\\indented{1}{Plot a NON-SINGULAR plane algebraic curve \\spad{p}(\\spad{x},{}\\spad{y}) = 0.} Author: Clifton \\spad{J}. Williamson Date Created: Fall 1988 Date Last Updated: 27 April 1990 Keywords: algebraic curve,{} non-singular,{} plot Examples: References:")) (|refine| (($ $ (|DoubleFloat|)) "\\spad{refine(p,{}x)} \\undocumented{}")) (|makeSketch| (($ (|Polynomial| (|Integer|)) (|Symbol|) (|Symbol|) (|Segment| (|Fraction| (|Integer|))) (|Segment| (|Fraction| (|Integer|)))) "\\spad{makeSketch(p,{}x,{}y,{}a..b,{}c..d)} creates an ACPLOT of the curve \\spad{p = 0} in the region {\\em a <= x <= b,{} c <= y <= d}. More specifically,{} 'makeSketch' plots a non-singular algebraic curve \\spad{p = 0} in an rectangular region {\\em xMin <= x <= xMax},{} {\\em yMin <= y <= yMax}. The user inputs \\spad{makeSketch(p,{}x,{}y,{}xMin..xMax,{}yMin..yMax)}. Here \\spad{p} is a polynomial in the variables \\spad{x} and \\spad{y} with integer coefficients (\\spad{p} belongs to the domain \\spad{Polynomial Integer}). The case where \\spad{p} is a polynomial in only one of the variables is allowed. The variables \\spad{x} and \\spad{y} are input to specify the the coordinate axes. The horizontal axis is the \\spad{x}-axis and the vertical axis is the \\spad{y}-axis. The rational numbers xMin,{}...,{}yMax specify the boundaries of the region in which the curve is to be plotted."))) @@ -62,7 +62,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4270))) (-33) ((|constructor| (NIL "The notion of aggregate serves to model any data structure aggregate,{} designating any collection of objects,{} with heterogenous or homogeneous members,{} with a finite or infinite number of members,{} explicitly or implicitly represented. An aggregate can in principle represent everything from a string of characters to abstract sets such as \"the set of \\spad{x} satisfying relation {\\em r(x)}\" An attribute \\spadatt{finiteAggregate} is used to assert that a domain has a finite number of elements.")) (|#| (((|NonNegativeInteger|) $) "\\spad{\\# u} returns the number of items in \\spad{u}.")) (|sample| (($) "\\spad{sample yields} a value of type \\%")) (|size?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{size?(u,{}n)} tests if \\spad{u} has exactly \\spad{n} elements.")) (|more?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{more?(u,{}n)} tests if \\spad{u} has greater than \\spad{n} elements.")) (|less?| (((|Boolean|) $ (|NonNegativeInteger|)) "\\spad{less?(u,{}n)} tests if \\spad{u} has less than \\spad{n} elements.")) (|empty?| (((|Boolean|) $) "\\spad{empty?(u)} tests if \\spad{u} has 0 elements.")) (|empty| (($) "\\spad{empty()}\\$\\spad{D} creates an aggregate of type \\spad{D} with 0 elements. Note: The {\\em \\$D} can be dropped if understood by context,{} \\spadignore{e.g.} \\axiom{u: \\spad{D} \\spad{:=} empty()}.")) (|copy| (($ $) "\\spad{copy(u)} returns a top-level (non-recursive) copy of \\spad{u}. Note: for collections,{} \\axiom{copy(\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u}]}.")) (|eq?| (((|Boolean|) $ $) "\\spad{eq?(u,{}v)} tests if \\spad{u} and \\spad{v} are same objects."))) -((-4103 . T)) +((-4102 . T)) NIL (-34) ((|constructor| (NIL "Category for the inverse hyperbolic trigonometric functions.")) (|atanh| (($ $) "\\spad{atanh(x)} returns the hyperbolic arc-tangent of \\spad{x}.")) (|asinh| (($ $) "\\spad{asinh(x)} returns the hyperbolic arc-sine of \\spad{x}.")) (|asech| (($ $) "\\spad{asech(x)} returns the hyperbolic arc-secant of \\spad{x}.")) (|acsch| (($ $) "\\spad{acsch(x)} returns the hyperbolic arc-cosecant of \\spad{x}.")) (|acoth| (($ $) "\\spad{acoth(x)} returns the hyperbolic arc-cotangent of \\spad{x}.")) (|acosh| (($ $) "\\spad{acosh(x)} returns the hyperbolic arc-cosine of \\spad{x}."))) @@ -70,7 +70,7 @@ NIL NIL (-35 |Key| |Entry|) ((|constructor| (NIL "An association list is a list of key entry pairs which may be viewed as a table. It is a poor mans version of a table: searching for a key is a linear operation.")) (|assoc| (((|Union| (|Record| (|:| |key| |#1|) (|:| |entry| |#2|)) "failed") |#1| $) "\\spad{assoc(k,{}u)} returns the element \\spad{x} in association list \\spad{u} stored with key \\spad{k},{} or \"failed\" if \\spad{u} has no key \\spad{k}."))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-36 S R) ((|constructor| (NIL "The category of associative algebras (modules which are themselves rings). \\blankline")) (|coerce| (($ |#2|) "\\spad{coerce(r)} maps the ring element \\spad{r} to a member of the algebra."))) @@ -84,7 +84,7 @@ NIL ((|constructor| (NIL "Factorization of univariate polynomials with coefficients in \\spadtype{AlgebraicNumber}.")) (|doublyTransitive?| (((|Boolean|) |#1|) "\\spad{doublyTransitive?(p)} is \\spad{true} if \\spad{p} is irreducible over over the field \\spad{K} generated by its coefficients,{} and if \\spad{p(X) / (X - a)} is irreducible over \\spad{K(a)} where \\spad{p(a) = 0}.")) (|split| (((|Factored| |#1|) |#1|) "\\spad{split(p)} returns a prime factorisation of \\spad{p} over its splitting field.")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns a prime factorisation of \\spad{p} over the field generated by its coefficients.") (((|Factored| |#1|) |#1| (|List| (|AlgebraicNumber|))) "\\spad{factor(p,{} [a1,{}...,{}an])} returns a prime factorisation of \\spad{p} over the field generated by its coefficients and a1,{}...,{}an."))) NIL NIL -(-39 -1329 UP UPUP -3794) +(-39 -1329 UP UPUP -1579) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4263 |has| (-388 |#2|) (-344)) (-4268 |has| (-388 |#2|) (-344)) (-4262 |has| (-388 |#2|) (-344)) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) ((|HasCategory| (-388 |#2|) (QUOTE (-138))) (|HasCategory| (-388 |#2|) (QUOTE (-140))) (|HasCategory| (-388 |#2|) (QUOTE (-330))) (-1450 (|HasCategory| (-388 |#2|) (QUOTE (-344))) (|HasCategory| (-388 |#2|) (QUOTE (-330)))) (|HasCategory| (-388 |#2|) (QUOTE (-344))) (|HasCategory| (-388 |#2|) (QUOTE (-349))) (-1450 (-12 (|HasCategory| (-388 |#2|) (QUOTE (-216))) (|HasCategory| (-388 |#2|) (QUOTE (-344)))) (|HasCategory| (-388 |#2|) (QUOTE (-330)))) (-1450 (-12 (|HasCategory| (-388 |#2|) (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| (-388 |#2|) (QUOTE (-344)))) (-12 (|HasCategory| (-388 |#2|) (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| (-388 |#2|) (QUOTE (-330))))) (|HasCategory| (-388 |#2|) (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| (-388 |#2|) (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| (-388 |#2|) (LIST (QUOTE -975) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-349))) (-1450 (|HasCategory| (-388 |#2|) (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| (-388 |#2|) (QUOTE (-344)))) (-12 (|HasCategory| (-388 |#2|) (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| (-388 |#2|) (QUOTE (-344)))) (-12 (|HasCategory| (-388 |#2|) (QUOTE (-216))) (|HasCategory| (-388 |#2|) (QUOTE (-344))))) @@ -150,7 +150,7 @@ NIL NIL (-55 R |Row| |Col|) ((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. 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.")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\spad{map!(f,{}a)} assign \\spad{a(i,{}j)} to \\spad{f(a(i,{}j))} for all \\spad{i,{} j}")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $ |#1|) "\\spad{map(f,{}a,{}b,{}r)} returns \\spad{c},{} where \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))} when both \\spad{a(i,{}j)} and \\spad{b(i,{}j)} exist; else \\spad{c(i,{}j) = f(r,{} b(i,{}j))} when \\spad{a(i,{}j)} does not exist; else \\spad{c(i,{}j) = f(a(i,{}j),{}r)} when \\spad{b(i,{}j)} does not exist; otherwise \\spad{c(i,{}j) = f(r,{}r)}.") (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,{}a,{}b)} returns \\spad{c},{} where \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))} for all \\spad{i,{} j}") (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}a)} returns \\spad{b},{} where \\spad{b(i,{}j) = f(a(i,{}j))} for all \\spad{i,{} j}")) (|setColumn!| (($ $ (|Integer|) |#3|) "\\spad{setColumn!(m,{}j,{}v)} sets to \\spad{j}th column of \\spad{m} to \\spad{v}")) (|setRow!| (($ $ (|Integer|) |#2|) "\\spad{setRow!(m,{}i,{}v)} sets to \\spad{i}th row of \\spad{m} to \\spad{v}")) (|qsetelt!| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{qsetelt!(m,{}i,{}j,{}r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} NO error check to determine if indices are in proper ranges")) (|setelt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{setelt(m,{}i,{}j,{}r)} sets the element in the \\spad{i}th row and \\spad{j}th column of \\spad{m} to \\spad{r} error check to determine if indices are in proper ranges")) (|parts| (((|List| |#1|) $) "\\spad{parts(m)} returns a list of the elements of \\spad{m} in row major order")) (|column| ((|#3| $ (|Integer|)) "\\spad{column(m,{}j)} returns the \\spad{j}th column of \\spad{m} error check to determine if index is in proper ranges")) (|row| ((|#2| $ (|Integer|)) "\\spad{row(m,{}i)} returns the \\spad{i}th row of \\spad{m} error check to determine if index is in proper ranges")) (|qelt| ((|#1| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} NO error check to determine if indices are in proper ranges")) (|elt| ((|#1| $ (|Integer|) (|Integer|) |#1|) "\\spad{elt(m,{}i,{}j,{}r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise") ((|#1| $ (|Integer|) (|Integer|)) "\\spad{elt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the array \\spad{m} error check to determine if indices are in proper ranges")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the array \\spad{m}")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the array \\spad{m}")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the array \\spad{m}")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the array \\spad{m}")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the array \\spad{m}")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the array \\spad{m}")) (|fill!| (($ $ |#1|) "\\spad{fill!(m,{}r)} fills \\spad{m} with \\spad{r}\\spad{'s}")) (|new| (($ (|NonNegativeInteger|) (|NonNegativeInteger|) |#1|) "\\spad{new(m,{}n,{}r)} is an \\spad{m}-by-\\spad{n} array all of whose entries are \\spad{r}")) (|finiteAggregate| ((|attribute|) "two-dimensional arrays are finite")) (|shallowlyMutable| ((|attribute|) "one may destructively alter arrays"))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-56 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),{}...]}."))) @@ -346,7 +346,7 @@ NIL NIL (-104 S) ((|constructor| (NIL "A bag aggregate is an aggregate for which one can insert and extract objects,{} and where the order in which objects are inserted determines the order of extraction. Examples of bags are stacks,{} queues,{} and dequeues.")) (|inspect| ((|#1| $) "\\spad{inspect(u)} returns an (random) element from a bag.")) (|insert!| (($ |#1| $) "\\spad{insert!(x,{}u)} inserts item \\spad{x} into bag \\spad{u}.")) (|extract!| ((|#1| $) "\\spad{extract!(u)} destructively removes a (random) item from bag \\spad{u}.")) (|bag| (($ (|List| |#1|)) "\\spad{bag([x,{}y,{}...,{}z])} creates a bag with elements \\spad{x},{}\\spad{y},{}...,{}\\spad{z}.")) (|shallowlyMutable| ((|attribute|) "shallowlyMutable means that elements of bags may be destructively changed."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-105) ((|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.")) (|coerce| (((|RadixExpansion| 2) $) "\\spad{coerce(b)} converts a binary expansion to a radix expansion with base 2.") (((|Fraction| (|Integer|)) $) "\\spad{coerce(b)} converts a binary expansion to a rational number."))) @@ -398,7 +398,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4271))) (-117 S) ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,{}x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,{}b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "right" $) "\\spad{setelt(a,{}\"right\",{}b)} (also written \\axiom{\\spad{b} . right \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setright!(a,{}\\spad{b})}.") (($ $ "left" $) "\\spad{setelt(a,{}\"left\",{}b)} (also written \\axiom{a . left \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setleft!(a,{}\\spad{b})}.")) (|right| (($ $) "\\spad{right(a)} returns the right child.")) (|elt| (($ $ "right") "\\spad{elt(a,{}\"right\")} (also written: \\axiom{a . right}) is equivalent to \\axiom{right(a)}.") (($ $ "left") "\\spad{elt(u,{}\"left\")} (also written: \\axiom{a . left}) is equivalent to \\axiom{left(a)}.")) (|left| (($ $) "\\spad{left(u)} returns the left child."))) -((-4103 . T)) +((-4102 . T)) NIL (-118 UP) ((|constructor| (NIL "\\indented{1}{Author: Frederic Lehobey,{} James \\spad{H}. Davenport} Date Created: 28 June 1994 Date Last Updated: 11 July 1997 Basic Operations: brillhartIrreducible? Related Domains: Also See: AMS Classifications: Keywords: factorization Examples: References: [1] John Brillhart,{} Note on Irreducibility Testing,{} Mathematics of Computation,{} vol. 35,{} num. 35,{} Oct. 1980,{} 1379-1381 [2] James Davenport,{} On Brillhart Irreducibility. To appear. [3] John Brillhart,{} On the Euler and Bernoulli polynomials,{} \\spad{J}. Reine Angew. Math.,{} \\spad{v}. 234,{} (1969),{} \\spad{pp}. 45-64")) (|noLinearFactor?| (((|Boolean|) |#1|) "\\spad{noLinearFactor?(p)} returns \\spad{true} if \\spad{p} can be shown to have no linear factor by a theorem of Lehmer,{} \\spad{false} else. \\spad{I} insist on the fact that \\spad{false} does not mean that \\spad{p} has a linear factor.")) (|brillhartTrials| (((|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{brillhartTrials(n)} sets to \\spad{n} the number of tests in \\spadfun{brillhartIrreducible?} and returns the previous value.") (((|NonNegativeInteger|)) "\\spad{brillhartTrials()} returns the number of tests in \\spadfun{brillhartIrreducible?}.")) (|brillhartIrreducible?| (((|Boolean|) |#1| (|Boolean|)) "\\spad{brillhartIrreducible?(p,{}noLinears)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by a remark of Brillhart,{} \\spad{false} else. If \\spad{noLinears} is \\spad{true},{} we are being told \\spad{p} has no linear factors \\spad{false} does not mean that \\spad{p} is reducible.") (((|Boolean|) |#1|) "\\spad{brillhartIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by a remark of Brillhart,{} \\spad{false} is inconclusive."))) @@ -414,7 +414,7 @@ NIL NIL (-121) ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,{}b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|or| (($ $ $) "\\spad{a or b} returns the logical {\\em or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|and| (($ $ $) "\\spad{a and b} returns the logical {\\em and} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,{}b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,{}b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|not| (($ $) "\\spad{not(b)} returns the logical {\\em not} of bit aggregate \\axiom{\\spad{b}}."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-122 A S) ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#2| $) "\\spad{node(left,{}v,{}right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}.")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) @@ -422,7 +422,7 @@ NIL NIL (-123 S) ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#1| $) "\\spad{node(left,{}v,{}right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}.")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-124 S) ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#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."))) @@ -452,11 +452,11 @@ 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") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,{}D) -> D} which is commutative."))) (((-4272 "*") . T)) NIL -(-131 |minix| -3003 S T$) +(-131 |minix| -3004 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,{}ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,{}ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL -(-132 |minix| -3003 R) +(-132 |minix| -3004 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\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| $ (|Integer|)) "\\spad{elt(t,{}i)} gives a component of a rank 1 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 @@ -506,7 +506,7 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -572) (QUOTE (-506)))) (|HasCategory| |#2| (QUOTE (-1027))) (|HasAttribute| |#1| (QUOTE -4270))) (-144 S) ((|constructor| (NIL "A collection is a homogeneous aggregate which can built from list of members. The operation used to build the aggregate is generically named \\spadfun{construct}. However,{} each collection provides its own special function with the same name as the data type,{} except with an initial lower case letter,{} \\spadignore{e.g.} \\spadfun{list} for \\spadtype{List},{} \\spadfun{flexibleArray} for \\spadtype{FlexibleArray},{} and so on.")) (|removeDuplicates| (($ $) "\\spad{removeDuplicates(u)} returns a copy of \\spad{u} with all duplicates removed.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(p,{}u)} returns a copy of \\spad{u} containing only those elements such \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note: \\axiom{select(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | \\spad{p}(\\spad{x})]}.")) (|remove| (($ |#1| $) "\\spad{remove(x,{}u)} returns a copy of \\spad{u} with all elements \\axiom{\\spad{y} = \\spad{x}} removed. Note: \\axiom{remove(\\spad{y},{}\\spad{c}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{c} | \\spad{x} \\spad{~=} \\spad{y}]}.") (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove(p,{}u)} returns a copy of \\spad{u} removing all elements \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}. Note: \\axiom{remove(\\spad{p},{}\\spad{u}) \\spad{==} [\\spad{x} for \\spad{x} in \\spad{u} | not \\spad{p}(\\spad{x})]}.")) (|reduce| ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1| |#1|) "\\spad{reduce(f,{}u,{}x,{}z)} reduces the binary operation \\spad{f} across \\spad{u},{} stopping when an \"absorbing element\" \\spad{z} is encountered. As for \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})},{} \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u},{}\\spad{x})} when \\spad{u} contains no element \\spad{z}. Thus the third argument \\spad{x} is returned when \\spad{u} is empty.") ((|#1| (|Mapping| |#1| |#1| |#1|) $ |#1|) "\\spad{reduce(f,{}u,{}x)} reduces the binary operation \\spad{f} across \\spad{u},{} where \\spad{x} is the identity operation of \\spad{f}. Same as \\axiom{reduce(\\spad{f},{}\\spad{u})} if \\spad{u} has 2 or more elements. Returns \\axiom{\\spad{f}(\\spad{x},{}\\spad{y})} if \\spad{u} has one element \\spad{y},{} \\spad{x} if \\spad{u} is empty. For example,{} \\axiom{reduce(+,{}\\spad{u},{}0)} returns the sum of the elements of \\spad{u}.") ((|#1| (|Mapping| |#1| |#1| |#1|) $) "\\spad{reduce(f,{}u)} reduces the binary operation \\spad{f} across \\spad{u}. For example,{} if \\spad{u} is \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]} then \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\axiom{\\spad{f}(..\\spad{f}(\\spad{f}(\\spad{x},{}\\spad{y}),{}...),{}\\spad{z})}. Note: if \\spad{u} has one element \\spad{x},{} \\axiom{reduce(\\spad{f},{}\\spad{u})} returns \\spad{x}. Error: if \\spad{u} is empty.")) (|find| (((|Union| |#1| "failed") (|Mapping| (|Boolean|) |#1|) $) "\\spad{find(p,{}u)} returns the first \\spad{x} in \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \"failed\" otherwise.")) (|construct| (($ (|List| |#1|)) "\\axiom{construct(\\spad{x},{}\\spad{y},{}...,{}\\spad{z})} returns the collection of elements \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}} ordered as given. Equivalently written as \\axiom{[\\spad{x},{}\\spad{y},{}...,{}\\spad{z}]\\$\\spad{D}},{} where \\spad{D} is the domain. \\spad{D} may be omitted for those of type List."))) -((-4103 . T)) +((-4102 . T)) NIL (-145 |n| K Q) ((|constructor| (NIL "CliffordAlgebra(\\spad{n},{} \\spad{K},{} \\spad{Q}) defines a vector space of dimension \\spad{2**n} over \\spad{K},{} given a quadratic form \\spad{Q} on \\spad{K**n}. \\blankline If \\spad{e[i]},{} \\spad{1<=i<=n} is a basis for \\spad{K**n} then \\indented{3}{1,{} \\spad{e[i]} (\\spad{1<=i<=n}),{} \\spad{e[i1]*e[i2]}} (\\spad{1<=i1<i2<=n}),{}...,{}\\spad{e[1]*e[2]*..*e[n]} is a basis for the Clifford Algebra. \\blankline The algebra is defined by the relations \\indented{3}{\\spad{e[i]*e[j] = -e[j]*e[i]}\\space{2}(\\spad{i \\~~= j}),{}} \\indented{3}{\\spad{e[i]*e[i] = Q(e[i])}} \\blankline Examples of Clifford Algebras are: gaussians,{} quaternions,{} exterior algebras and spin algebras.")) (|recip| (((|Union| $ "failed") $) "\\spad{recip(x)} computes the multiplicative inverse of \\spad{x} or \"failed\" if \\spad{x} is not invertible.")) (|coefficient| ((|#2| $ (|List| (|PositiveInteger|))) "\\spad{coefficient(x,{}[i1,{}i2,{}...,{}iN])} extracts the coefficient of \\spad{e(i1)*e(i2)*...*e(iN)} in \\spad{x}.")) (|monomial| (($ |#2| (|List| (|PositiveInteger|))) "\\spad{monomial(c,{}[i1,{}i2,{}...,{}iN])} produces the value given by \\spad{c*e(i1)*e(i2)*...*e(iN)}.")) (|e| (($ (|PositiveInteger|)) "\\spad{e(n)} produces the appropriate unit element."))) @@ -554,7 +554,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-850))) (|HasCategory| |#2| (QUOTE (-515))) (|HasCategory| |#2| (QUOTE (-941))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasCategory| |#2| (QUOTE (-993))) (|HasCategory| |#2| (QUOTE (-960))) (|HasCategory| |#2| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-140))) (|HasCategory| |#2| (LIST (QUOTE -572) (QUOTE (-506)))) (|HasCategory| |#2| (QUOTE (-344))) (|HasAttribute| |#2| (QUOTE -4266)) (|HasAttribute| |#2| (QUOTE -4269)) (|HasCategory| |#2| (QUOTE (-289))) (|HasCategory| |#2| (QUOTE (-522))) (|HasCategory| |#2| (QUOTE (-795)))) (-156 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})"))) -((-4263 -1450 (|has| |#1| (-522)) (-12 (|has| |#1| (-289)) (|has| |#1| (-850)))) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4266 |has| |#1| (-6 -4266)) (-4269 |has| |#1| (-6 -4269)) (-4146 . T) (-4103 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) +((-4263 -1450 (|has| |#1| (-522)) (-12 (|has| |#1| (-289)) (|has| |#1| (-850)))) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4266 |has| |#1| (-6 -4266)) (-4269 |has| |#1| (-6 -4269)) (-4147 . T) (-4102 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) NIL (-157 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."))) @@ -566,7 +566,7 @@ NIL NIL (-159 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}."))) -((-4263 -1450 (|has| |#1| (-522)) (-12 (|has| |#1| (-289)) (|has| |#1| (-850)))) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4266 |has| |#1| (-6 -4266)) (-4269 |has| |#1| (-6 -4269)) (-4146 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) +((-4263 -1450 (|has| |#1| (-522)) (-12 (|has| |#1| (-289)) (|has| |#1| (-850)))) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4266 |has| |#1| (-6 -4266)) (-4269 |has| |#1| (-6 -4269)) (-4147 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) ((|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (|HasCategory| |#1| (QUOTE (-330))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-330)))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-349))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -572) (LIST (QUOTE -833) (QUOTE (-360))))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -572) (LIST (QUOTE -833) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -491) (QUOTE (-1099)) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (QUOTE (-140))) (|HasCategory| |#1| (QUOTE (-330)))) (|HasCategory| |#1| (QUOTE (-216))) (-12 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-330)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -268) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -593) (QUOTE (-530))))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099))))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-349)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-776)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-795)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-960)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-1121)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -572) (QUOTE (-506))))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -291) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -827) (QUOTE (-360))))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -827) (QUOTE (-530))))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (LIST (QUOTE -975) (QUOTE (-530)))))) (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#1| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#1| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (LIST (QUOTE -975) (QUOTE (-530)))) (-1450 (-12 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (|HasCategory| |#1| (QUOTE (-344))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-850))))) (-1450 (-12 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (-12 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-850)))) (-12 (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-850))))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasCategory| |#1| (QUOTE (-941))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (QUOTE (-960))) (|HasCategory| |#1| (LIST (QUOTE -572) (QUOTE (-506)))) (-1450 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-330))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-330)))) (|HasCategory| |#1| (QUOTE (-795))) (|HasCategory| |#1| (LIST (QUOTE -572) (LIST (QUOTE -833) (QUOTE (-360))))) (|HasCategory| |#1| (LIST (QUOTE -572) (LIST (QUOTE -833) (QUOTE (-530))))) (|HasCategory| |#1| (LIST (QUOTE -827) (QUOTE (-530)))) (|HasCategory| |#1| (LIST (QUOTE -827) (QUOTE (-360)))) (|HasCategory| |#1| (LIST (QUOTE -491) (QUOTE (-1099)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -291) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -268) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-776))) (|HasCategory| |#1| (QUOTE (-993))) (-12 (|HasCategory| |#1| (QUOTE (-993))) (|HasCategory| |#1| (QUOTE (-1121)))) (|HasCategory| |#1| (QUOTE (-515))) (-1450 (|HasCategory| |#1| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-344)))) (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850))) (-1450 (-12 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (|HasCategory| |#1| (QUOTE (-344)))) (-1450 (-12 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-216))) (-12 (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (|HasAttribute| |#1| (QUOTE -4266)) (|HasAttribute| |#1| (QUOTE -4269)) (-12 (|HasCategory| |#1| (QUOTE (-216))) (|HasCategory| |#1| (QUOTE (-344)))) (-12 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099))))) (-1450 (-12 (|HasCategory| $ (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (|HasCategory| |#1| (QUOTE (-138)))) (-1450 (-12 (|HasCategory| $ (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-289))) (|HasCategory| |#1| (QUOTE (-850)))) (|HasCategory| |#1| (QUOTE (-330))))) (-160 R S CS) ((|constructor| (NIL "This package supports converting complex expressions to patterns")) (|convert| (((|Pattern| |#1|) |#3|) "\\spad{convert(cs)} converts the complex expression \\spad{cs} to a pattern"))) @@ -778,7 +778,7 @@ NIL NIL (-212 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."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-213 S R) ((|constructor| (NIL "Differential extensions of a ring \\spad{R}. Given a differentiation on \\spad{R},{} extend it to a differentiation on \\%.")) (D (($ $ (|Mapping| |#2| |#2|) (|NonNegativeInteger|)) "\\spad{D(x,{} deriv,{} n)} differentiate \\spad{x} \\spad{n} times using a derivation which extends \\spad{deriv} on \\spad{R}.") (($ $ (|Mapping| |#2| |#2|)) "\\spad{D(x,{} deriv)} differentiates \\spad{x} extending the derivation deriv on \\spad{R}.")) (|differentiate| (($ $ (|Mapping| |#2| |#2|) (|NonNegativeInteger|)) "\\spad{differentiate(x,{} deriv,{} n)} differentiate \\spad{x} \\spad{n} times using a derivation which extends \\spad{deriv} on \\spad{R}.") (($ $ (|Mapping| |#2| |#2|)) "\\spad{differentiate(x,{} deriv)} differentiates \\spad{x} extending the derivation deriv on \\spad{R}."))) @@ -802,25 +802,25 @@ NIL ((|HasAttribute| |#1| (QUOTE -4270))) (-218 S) ((|constructor| (NIL "This category is a collection of operations common to both categories \\spadtype{Dictionary} and \\spadtype{MultiDictionary}")) (|select!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select!(p,{}d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is not \\spad{true}.")) (|remove!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove!(p,{}d)} destructively changes dictionary \\spad{d} by removeing all entries \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.") (($ |#1| $) "\\spad{remove!(x,{}d)} destructively changes dictionary \\spad{d} by removing all entries \\spad{y} such that \\axiom{\\spad{y} = \\spad{x}}.")) (|dictionary| (($ (|List| |#1|)) "\\spad{dictionary([x,{}y,{}...,{}z])} creates a dictionary consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{dictionary()}\\$\\spad{D} creates an empty dictionary of type \\spad{D}."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-219) ((|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 -(-220 S -3003 R) +(-220 S -3004 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (* (($ $ |#3|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#3| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.")) (|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 (-344))) (|HasCategory| |#3| (QUOTE (-741))) (|HasCategory| |#3| (QUOTE (-793))) (|HasAttribute| |#3| (QUOTE -4267)) (|HasCategory| |#3| (QUOTE (-162))) (|HasCategory| |#3| (QUOTE (-349))) (|HasCategory| |#3| (QUOTE (-675))) (|HasCategory| |#3| (QUOTE (-128))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-984))) (|HasCategory| |#3| (QUOTE (-1027)))) -(-221 -3003 R) +(-221 -3004 R) ((|constructor| (NIL "\\indented{2}{This category represents a finite cartesian product of a given type.} Many categorical properties are preserved under this construction.")) (* (($ $ |#2|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#2| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.")) (|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"))) -((-4264 |has| |#2| (-984)) (-4265 |has| |#2| (-984)) (-4267 |has| |#2| (-6 -4267)) ((-4272 "*") |has| |#2| (-162)) (-4270 . T) (-4103 . T)) +((-4264 |has| |#2| (-984)) (-4265 |has| |#2| (-984)) (-4267 |has| |#2| (-6 -4267)) ((-4272 "*") |has| |#2| (-162)) (-4270 . T) (-4102 . T)) NIL -(-222 -3003 A B) +(-222 -3004 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 -(-223 -3003 R) +(-223 -3004 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."))) ((-4264 |has| |#2| (-984)) (-4265 |has| |#2| (-984)) (-4267 |has| |#2| (-6 -4267)) ((-4272 "*") |has| |#2| (-162)) (-4270 . T)) ((-1450 (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-349))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-675))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-741))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-793))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))))) (-1450 (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-1027)))) (-12 (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-984)))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099))))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (|HasCategory| |#2| (LIST (QUOTE -571) (QUOTE (-804))))) (|HasCategory| |#2| (QUOTE (-344))) (-1450 (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (QUOTE (-984)))) (-1450 (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-344)))) (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (QUOTE (-741))) (-1450 (|HasCategory| |#2| (QUOTE (-741))) (|HasCategory| |#2| (QUOTE (-793)))) (|HasCategory| |#2| (QUOTE (-793))) (|HasCategory| |#2| (QUOTE (-675))) (|HasCategory| |#2| (QUOTE (-162))) (-1450 (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-984)))) (|HasCategory| |#2| (QUOTE (-349))) (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (-1450 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (QUOTE (-349))) (|HasCategory| |#2| (QUOTE (-675))) (|HasCategory| |#2| (QUOTE (-741))) (|HasCategory| |#2| (QUOTE (-793))) (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (QUOTE (-1027)))) (-1450 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (QUOTE (-984)))) (-1450 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (QUOTE (-984)))) (-1450 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (QUOTE (-984)))) (-1450 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-984)))) (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-1027))) (-1450 (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-25)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-128)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-162)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-216)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-344)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-349)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-675)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-741)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-793)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-984)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-1027))))) (-1450 (-12 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-349))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-675))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-741))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-793))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530)))))) (|HasCategory| (-530) (QUOTE (-795))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-984)))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099))))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-1450 (|HasCategory| |#2| (QUOTE (-984))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530)))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-1027)))) (|HasAttribute| |#2| (QUOTE -4267)) (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (QUOTE (-25))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -571) (QUOTE (-804))))) @@ -838,7 +838,7 @@ NIL NIL (-227 S) ((|constructor| (NIL "A doubly-linked aggregate serves as a model for a doubly-linked list,{} that is,{} a list which can has links to both next and previous nodes and thus can be efficiently traversed in both directions.")) (|setnext!| (($ $ $) "\\spad{setnext!(u,{}v)} destructively sets the next node of doubly-linked aggregate \\spad{u} to \\spad{v},{} returning \\spad{v}.")) (|setprevious!| (($ $ $) "\\spad{setprevious!(u,{}v)} destructively sets the previous node of doubly-linked aggregate \\spad{u} to \\spad{v},{} returning \\spad{v}.")) (|concat!| (($ $ $) "\\spad{concat!(u,{}v)} destructively concatenates doubly-linked aggregate \\spad{v} to the end of doubly-linked aggregate \\spad{u}.")) (|next| (($ $) "\\spad{next(l)} returns the doubly-linked aggregate beginning with its next element. Error: if \\spad{l} has no next element. Note: \\axiom{next(\\spad{l}) = rest(\\spad{l})} and \\axiom{previous(next(\\spad{l})) = \\spad{l}}.")) (|previous| (($ $) "\\spad{previous(l)} returns the doubly-link list beginning with its previous element. Error: if \\spad{l} has no previous element. Note: \\axiom{next(previous(\\spad{l})) = \\spad{l}}.")) (|tail| (($ $) "\\spad{tail(l)} returns the doubly-linked aggregate \\spad{l} starting at its second element. Error: if \\spad{l} is empty.")) (|head| (($ $) "\\spad{head(l)} returns the first element of a doubly-linked aggregate \\spad{l}. Error: if \\spad{l} is empty.")) (|last| ((|#1| $) "\\spad{last(l)} returns the last element of a doubly-linked aggregate \\spad{l}. Error: if \\spad{l} is empty."))) -((-4103 . T)) +((-4102 . T)) NIL (-228 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}")) (|coerce| (((|List| |#1|) $) "\\spad{coerce(x)} returns the list of elements in \\spad{x}") (($ (|List| |#1|)) "\\spad{coerce(l)} creates a datalist from \\spad{l}"))) @@ -874,7 +874,7 @@ NIL NIL (-236 S) ((|constructor| (NIL "A dequeue is a doubly ended stack,{} that is,{} a bag where first items inserted are the first items extracted,{} at either the front or the back end of the data structure.")) (|reverse!| (($ $) "\\spad{reverse!(d)} destructively replaces \\spad{d} by its reverse dequeue,{} \\spadignore{i.e.} the top (front) element is now the bottom (back) element,{} and so on.")) (|extractBottom!| ((|#1| $) "\\spad{extractBottom!(d)} destructively extracts the bottom (back) element from the dequeue \\spad{d}. Error: if \\spad{d} is empty.")) (|extractTop!| ((|#1| $) "\\spad{extractTop!(d)} destructively extracts the top (front) element from the dequeue \\spad{d}. Error: if \\spad{d} is empty.")) (|insertBottom!| ((|#1| |#1| $) "\\spad{insertBottom!(x,{}d)} destructively inserts \\spad{x} into the dequeue \\spad{d} at the bottom (back) of the dequeue.")) (|insertTop!| ((|#1| |#1| $) "\\spad{insertTop!(x,{}d)} destructively inserts \\spad{x} into the dequeue \\spad{d},{} that is,{} at the top (front) of the dequeue. The element previously at the top of the dequeue becomes the second in the dequeue,{} and so on.")) (|bottom!| ((|#1| $) "\\spad{bottom!(d)} returns the element at the bottom (back) of the dequeue.")) (|top!| ((|#1| $) "\\spad{top!(d)} returns the element at the top (front) of the dequeue.")) (|height| (((|NonNegativeInteger|) $) "\\spad{height(d)} returns the number of elements in dequeue \\spad{d}. Note: \\axiom{height(\\spad{d}) = \\# \\spad{d}}.")) (|dequeue| (($ (|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}.") (($) "\\spad{dequeue()}\\$\\spad{D} creates an empty dequeue of type \\spad{D}."))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-237) ((|constructor| (NIL "TopLevelDrawFunctionsForCompiledFunctions provides top level functions for drawing graphics of expressions.")) (|recolor| (((|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) "\\spad{recolor()},{} uninteresting to top level user; exported in order to compile package.")) (|makeObject| (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(surface(f,{}g,{}h),{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(surface(f,{}g,{}h),{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(f,{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f,{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{makeObject(f,{}a..b,{}c..d)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(f,{}a..b,{}c..d,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)},{} and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{makeObject(sp,{}curve(f,{}g,{}h),{}a..b)} returns the space \\spad{sp} of the domain \\spadtype{ThreeSpace} with the addition of the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeSpace| (|DoubleFloat|)) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f,{}g,{}h),{}a..b,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{makeObject(sp,{}curve(f,{}g,{}h),{}a..b)} returns the space \\spad{sp} of the domain \\spadtype{ThreeSpace} with the addition of the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeSpace| (|DoubleFloat|)) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{makeObject(curve(f,{}g,{}h),{}a..b,{}l)} returns a space of the domain \\spadtype{ThreeSpace} which contains the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.")) (|draw| (((|ThreeDimensionalViewport|) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(surface(f,{}g,{}h),{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeDimensionalViewport|) (|ParametricSurface| (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(surface(f,{}g,{}h),{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{x = f(u,{}v)},{} \\spad{y = g(u,{}v)},{} \\spad{z = h(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}; The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)} The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}c..d)} draws the graph of the parametric surface \\spad{f(u,{}v)} as \\spad{u} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{v} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b,{}c..d)} draws the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}.") (((|ThreeDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}c..d,{}l)} draws the graph of \\spad{z = f(x,{}y)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)} and \\spad{y} ranges from \\spad{min(c,{}d)} to \\spad{max(c,{}d)}. and the options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b,{}l)} draws the graph of the parametric curve \\spad{f} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeDimensionalViewport|) (|Mapping| (|Point| (|DoubleFloat|)) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}l)} draws the graph of the parametric curve \\spad{f} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{draw(curve(f,{}g,{}h),{}a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|ThreeDimensionalViewport|) (|ParametricSpaceCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f,{}g,{}h),{}a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t),{} z = h(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|))) "\\spad{draw(curve(f,{}g),{}a..b)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|TwoDimensionalViewport|) (|ParametricPlaneCurve| (|Mapping| (|DoubleFloat|) (|DoubleFloat|))) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(curve(f,{}g),{}a..b,{}l)} draws the graph of the parametric curve \\spad{x = f(t),{} y = g(t)} as \\spad{t} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied.") (((|TwoDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|))) "\\spad{draw(f,{}a..b)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}.") (((|TwoDimensionalViewport|) (|Mapping| (|DoubleFloat|) (|DoubleFloat|)) (|Segment| (|Float|)) (|List| (|DrawOption|))) "\\spad{draw(f,{}a..b,{}l)} draws the graph of \\spad{y = f(x)} as \\spad{x} ranges from \\spad{min(a,{}b)} to \\spad{max(a,{}b)}. The options contained in the list \\spad{l} of the domain \\spad{DrawOption} are applied."))) @@ -986,7 +986,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-795))) (|HasCategory| |#2| (QUOTE (-1027)))) (-264 S) ((|constructor| (NIL "An extensible aggregate is one which allows insertion and deletion of entries. These aggregates are models of lists and streams which are represented by linked structures so as to make insertion,{} deletion,{} and concatenation efficient. However,{} access to elements of these extensible aggregates is generally slow since access is made from the end. See \\spadtype{FlexibleArray} for an exception.")) (|removeDuplicates!| (($ $) "\\spad{removeDuplicates!(u)} destructively removes duplicates from \\spad{u}.")) (|select!| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select!(p,{}u)} destructively changes \\spad{u} by keeping only values \\spad{x} such that \\axiom{\\spad{p}(\\spad{x})}.")) (|merge!| (($ $ $) "\\spad{merge!(u,{}v)} destructively merges \\spad{u} and \\spad{v} in ascending order.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $ $) "\\spad{merge!(p,{}u,{}v)} destructively merges \\spad{u} and \\spad{v} using predicate \\spad{p}.")) (|insert!| (($ $ $ (|Integer|)) "\\spad{insert!(v,{}u,{}i)} destructively inserts aggregate \\spad{v} into \\spad{u} at position \\spad{i}.") (($ |#1| $ (|Integer|)) "\\spad{insert!(x,{}u,{}i)} destructively inserts \\spad{x} into \\spad{u} at position \\spad{i}.")) (|remove!| (($ |#1| $) "\\spad{remove!(x,{}u)} destructively removes all values \\spad{x} from \\spad{u}.") (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove!(p,{}u)} destructively removes all elements \\spad{x} of \\spad{u} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true}.")) (|delete!| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete!(u,{}i..j)} destructively deletes elements \\spad{u}.\\spad{i} through \\spad{u}.\\spad{j}.") (($ $ (|Integer|)) "\\spad{delete!(u,{}i)} destructively deletes the \\axiom{\\spad{i}}th element of \\spad{u}.")) (|concat!| (($ $ $) "\\spad{concat!(u,{}v)} destructively appends \\spad{v} to the end of \\spad{u}. \\spad{v} is unchanged") (($ $ |#1|) "\\spad{concat!(u,{}x)} destructively adds element \\spad{x} to the end of \\spad{u}."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-265 S) ((|constructor| (NIL "Category for the elementary functions.")) (** (($ $ $) "\\spad{x**y} returns \\spad{x} to the power \\spad{y}.")) (|exp| (($ $) "\\spad{exp(x)} returns \\%\\spad{e} to the power \\spad{x}.")) (|log| (($ $) "\\spad{log(x)} returns the natural logarithm of \\spad{x}."))) @@ -1012,7 +1012,7 @@ 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 -(-271 S R |Mod| -1648 -1216 |exactQuo|) +(-271 S R |Mod| -1810 -4067 |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}")) (|elt| ((|#2| $ |#2|) "\\spad{elt(x,{}r)} or \\spad{x}.\\spad{r} \\undocumented")) (|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"))) ((-4263 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) NIL @@ -1131,7 +1131,7 @@ NIL (-300 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."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4264 . T) (-4265 . T) (-4267 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -2101) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -3700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) (-301 M) ((|constructor| (NIL "computes various functions on factored arguments.")) (|log| (((|List| (|Record| (|:| |coef| (|NonNegativeInteger|)) (|:| |logand| |#1|))) (|Factored| |#1|)) "\\spad{log(f)} returns \\spad{[(a1,{}b1),{}...,{}(am,{}bm)]} such that the logarithm of \\spad{f} is equal to \\spad{a1*log(b1) + ... + am*log(bm)}.")) (|nthRoot| (((|Record| (|:| |exponent| (|NonNegativeInteger|)) (|:| |coef| |#1|) (|:| |radicand| (|List| |#1|))) (|Factored| |#1|) (|NonNegativeInteger|)) "\\spad{nthRoot(f,{} n)} returns \\spad{(p,{} r,{} [r1,{}...,{}rm])} such that the \\spad{n}th-root of \\spad{f} is equal to \\spad{r * \\spad{p}th-root(r1 * ... * rm)},{} where \\spad{r1},{}...,{}\\spad{rm} are distinct factors of \\spad{f},{} each of which has an exponent smaller than \\spad{p} in \\spad{f}."))) NIL @@ -1346,7 +1346,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4271)) (|HasCategory| |#2| (QUOTE (-795))) (|HasCategory| |#2| (QUOTE (-1027)))) (-354 S) ((|constructor| (NIL "A finite linear aggregate is a linear aggregate of finite length. The finite property of the aggregate adds several exports to the list of exports from \\spadtype{LinearAggregate} such as \\spadfun{reverse},{} \\spadfun{sort},{} and so on.")) (|sort!| (($ $) "\\spad{sort!(u)} returns \\spad{u} with its elements in ascending order.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sort!(p,{}u)} returns \\spad{u} with its elements ordered by \\spad{p}.")) (|reverse!| (($ $) "\\spad{reverse!(u)} returns \\spad{u} with its elements in reverse order.")) (|copyInto!| (($ $ $ (|Integer|)) "\\spad{copyInto!(u,{}v,{}i)} returns aggregate \\spad{u} containing a copy of \\spad{v} inserted at element \\spad{i}.")) (|position| (((|Integer|) |#1| $ (|Integer|)) "\\spad{position(x,{}a,{}n)} returns the index \\spad{i} of the first occurrence of \\spad{x} in \\axiom{a} where \\axiom{\\spad{i} \\spad{>=} \\spad{n}},{} and \\axiom{minIndex(a) - 1} if no such \\spad{x} is found.") (((|Integer|) |#1| $) "\\spad{position(x,{}a)} returns the index \\spad{i} of the first occurrence of \\spad{x} in a,{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.") (((|Integer|) (|Mapping| (|Boolean|) |#1|) $) "\\spad{position(p,{}a)} returns the index \\spad{i} of the first \\spad{x} in \\axiom{a} such that \\axiom{\\spad{p}(\\spad{x})} is \\spad{true},{} and \\axiom{minIndex(a) - 1} if there is no such \\spad{x}.")) (|sorted?| (((|Boolean|) $) "\\spad{sorted?(u)} tests if the elements of \\spad{u} are in ascending order.") (((|Boolean|) (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sorted?(p,{}a)} tests if \\axiom{a} is sorted according to predicate \\spad{p}.")) (|sort| (($ $) "\\spad{sort(u)} returns an \\spad{u} with elements in ascending order. Note: \\axiom{sort(\\spad{u}) = sort(\\spad{<=},{}\\spad{u})}.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $) "\\spad{sort(p,{}a)} returns a copy of \\axiom{a} sorted using total ordering predicate \\spad{p}.")) (|reverse| (($ $) "\\spad{reverse(a)} returns a copy of \\axiom{a} with elements in reverse order.")) (|merge| (($ $ $) "\\spad{merge(u,{}v)} merges \\spad{u} and \\spad{v} in ascending order. Note: \\axiom{merge(\\spad{u},{}\\spad{v}) = merge(\\spad{<=},{}\\spad{u},{}\\spad{v})}.") (($ (|Mapping| (|Boolean|) |#1| |#1|) $ $) "\\spad{merge(p,{}a,{}b)} returns an aggregate \\spad{c} which merges \\axiom{a} and \\spad{b}. The result is produced by examining each element \\spad{x} of \\axiom{a} and \\spad{y} of \\spad{b} successively. If \\axiom{\\spad{p}(\\spad{x},{}\\spad{y})} is \\spad{true},{} then \\spad{x} is inserted into the result; otherwise \\spad{y} is inserted. If \\spad{x} is chosen,{} the next element of \\axiom{a} is examined,{} and so on. When all the elements of one aggregate are examined,{} the remaining elements of the other are appended. For example,{} \\axiom{merge(<,{}[1,{}3],{}[2,{}7,{}5])} returns \\axiom{[1,{}2,{}3,{}7,{}5]}."))) -((-4270 . T) (-4103 . T)) +((-4270 . T) (-4102 . T)) NIL (-355 |VarSet| R) ((|constructor| (NIL "The category of free Lie algebras. It is used by domains of non-commutative algebra: \\spadtype{LiePolynomial} and \\spadtype{XPBWPolynomial}. \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr})")) (|eval| (($ $ (|List| |#1|) (|List| $)) "\\axiom{eval(\\spad{p},{} [\\spad{x1},{}...,{}\\spad{xn}],{} [\\spad{v1},{}...,{}\\spad{vn}])} replaces \\axiom{\\spad{xi}} by \\axiom{\\spad{vi}} in \\axiom{\\spad{p}}.") (($ $ |#1| $) "\\axiom{eval(\\spad{p},{} \\spad{x},{} \\spad{v})} replaces \\axiom{\\spad{x}} by \\axiom{\\spad{v}} in \\axiom{\\spad{p}}.")) (|varList| (((|List| |#1|) $) "\\axiom{varList(\\spad{x})} returns the list of distinct entries of \\axiom{\\spad{x}}.")) (|trunc| (($ $ (|NonNegativeInteger|)) "\\axiom{trunc(\\spad{p},{}\\spad{n})} returns the polynomial \\axiom{\\spad{p}} truncated at order \\axiom{\\spad{n}}.")) (|mirror| (($ $) "\\axiom{mirror(\\spad{x})} returns \\axiom{Sum(r_i mirror(w_i))} if \\axiom{\\spad{x}} is \\axiom{Sum(r_i w_i)}.")) (|LiePoly| (($ (|LyndonWord| |#1|)) "\\axiom{LiePoly(\\spad{l})} returns the bracketed form of \\axiom{\\spad{l}} as a Lie polynomial.")) (|rquo| (((|XRecursivePolynomial| |#1| |#2|) (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{rquo(\\spad{x},{}\\spad{y})} returns the right simplification of \\axiom{\\spad{x}} by \\axiom{\\spad{y}}.")) (|lquo| (((|XRecursivePolynomial| |#1| |#2|) (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{lquo(\\spad{x},{}\\spad{y})} returns the left simplification of \\axiom{\\spad{x}} by \\axiom{\\spad{y}}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{x})} returns the greatest length of a word in the support of \\axiom{\\spad{x}}.")) (|coerce| (((|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as a recursive polynomial.") (((|XDistributedPolynomial| |#1| |#2|) $) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as distributed polynomial.") (($ |#1|) "\\axiom{coerce(\\spad{x})} returns \\axiom{\\spad{x}} as a Lie polynomial.")) (|coef| ((|#2| (|XRecursivePolynomial| |#1| |#2|) $) "\\axiom{coef(\\spad{x},{}\\spad{y})} returns the scalar product of \\axiom{\\spad{x}} by \\axiom{\\spad{y}},{} the set of words being regarded as an orthogonal basis."))) @@ -1386,11 +1386,11 @@ NIL NIL (-364) ((|constructor| (NIL "\\axiomType{FortranMatrixCategory} provides support for producing Functions and Subroutines when the input to these is an AXIOM object of type \\axiomType{Matrix} or in domains involving \\axiomType{FortranCode}.")) (|coerce| (($ (|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.}") (($ (|Matrix| (|MachineFloat|))) "\\spad{coerce(v)} produces an ASP which returns the value of \\spad{v}."))) -((-4103 . T)) +((-4102 . T)) NIL (-365) ((|constructor| (NIL "\\axiomType{FortranMatrixFunctionCategory} provides support for producing Functions and Subroutines representing matrices of expressions.")) (|retractIfCan| (((|Union| $ "failed") (|Matrix| (|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") (|Matrix| (|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") (|Matrix| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Expression| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Matrix| (|Expression| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Matrix| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Fraction| (|Polynomial| (|Float|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|Expression| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Matrix| (|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.}"))) -((-4103 . T)) +((-4102 . T)) NIL (-366 R S) ((|constructor| (NIL "A \\spad{bi}-module is a free module over a ring with generators indexed by an ordered set. Each element can be expressed as a finite linear combination of generators. Only non-zero terms are stored."))) @@ -1434,11 +1434,11 @@ NIL NIL (-376) ((|constructor| (NIL "\\axiomType{FortranProgramCategory} provides various models of FORTRAN subprograms. These can be transformed into actual FORTRAN code.")) (|outputAsFortran| (((|Void|) $) "\\axiom{outputAsFortran(\\spad{u})} translates \\axiom{\\spad{u}} into a legal FORTRAN subprogram."))) -((-4103 . T)) +((-4102 . T)) NIL (-377) ((|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.}"))) -((-4103 . T)) +((-4102 . T)) NIL (-378) ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}t,{}lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,{}l,{}ll,{}lv,{}t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}ll,{}lv)} \\undocumented{}"))) @@ -1454,7 +1454,7 @@ NIL NIL (-381 R) ((|constructor| (NIL "A set \\spad{S} is PatternMatchable over \\spad{R} if \\spad{S} can lift the pattern-matching functions of \\spad{S} over the integers and float to itself (necessary for matching in towers)."))) -((-4103 . T)) +((-4102 . T)) NIL (-382 S) ((|constructor| (NIL "FieldOfPrimeCharacteristic is the category of fields of prime characteristic,{} \\spadignore{e.g.} finite fields,{} algebraic closures of fields of prime characteristic,{} transcendental extensions of of fields of prime characteristic.")) (|primeFrobenius| (($ $ (|NonNegativeInteger|)) "\\spad{primeFrobenius(a,{}s)} returns \\spad{a**(p**s)} where \\spad{p} is the characteristic.") (($ $) "\\spad{primeFrobenius(a)} returns \\spad{a ** p} where \\spad{p} is the characteristic.")) (|discreteLog| (((|Union| (|NonNegativeInteger|) "failed") $ $) "\\spad{discreteLog(b,{}a)} computes \\spad{s} with \\spad{b**s = a} if such an \\spad{s} exists.")) (|order| (((|OnePointCompletion| (|PositiveInteger|)) $) "\\spad{order(a)} computes the order of an element in the multiplicative group of the field. Error: if \\spad{a} is 0."))) @@ -1554,7 +1554,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-795))) (|HasCategory| |#2| (QUOTE (-349)))) (-406 S) ((|constructor| (NIL "A finite-set aggregate models the notion of a finite set,{} that is,{} a collection of elements characterized by membership,{} but not by order or multiplicity. See \\spadtype{Set} for an example.")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest element of aggregate \\spad{u}.")) (|max| ((|#1| $) "\\spad{max(u)} returns the largest element of aggregate \\spad{u}.")) (|universe| (($) "\\spad{universe()}\\$\\spad{D} returns the universal set for finite set aggregate \\spad{D}.")) (|complement| (($ $) "\\spad{complement(u)} returns the complement of the set \\spad{u},{} \\spadignore{i.e.} the set of all values not in \\spad{u}.")) (|cardinality| (((|NonNegativeInteger|) $) "\\spad{cardinality(u)} returns the number of elements of \\spad{u}. Note: \\axiom{cardinality(\\spad{u}) = \\#u}."))) -((-4270 . T) (-4260 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4260 . T) (-4271 . T) (-4102 . T)) NIL (-407 R -1329) ((|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."))) @@ -1574,7 +1574,7 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530)))) (|HasCategory| |#2| (QUOTE (-522))) (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-140))) (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-453))) (|HasCategory| |#2| (QUOTE (-1039))) (|HasCategory| |#2| (LIST (QUOTE -572) (QUOTE (-506))))) (-411 R) ((|constructor| (NIL "A space of formal functions with arguments in an arbitrary ordered set.")) (|univariate| (((|Fraction| (|SparseUnivariatePolynomial| $)) $ (|Kernel| $)) "\\spad{univariate(f,{} k)} returns \\spad{f} viewed as a univariate fraction in \\spad{k}.")) (/ (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $)) (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{p1/p2} returns the quotient of \\spad{p1} and \\spad{p2} as an element of \\%.")) (|denominator| (($ $) "\\spad{denominator(f)} returns the denominator of \\spad{f} converted to \\%.")) (|denom| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{denom(f)} returns the denominator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|convert| (($ (|Factored| $)) "\\spad{convert(f1\\^e1 ... fm\\^em)} returns \\spad{(f1)\\^e1 ... (fm)\\^em} as an element of \\%,{} using formal kernels created using a \\spadfunFrom{paren}{ExpressionSpace}.")) (|isPower| (((|Union| (|Record| (|:| |val| $) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isPower(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|numerator| (($ $) "\\spad{numerator(f)} returns the numerator of \\spad{f} converted to \\%.")) (|numer| (((|SparseMultivariatePolynomial| |#1| (|Kernel| $)) $) "\\spad{numer(f)} returns the numerator of \\spad{f} viewed as a polynomial in the kernels over \\spad{R} if \\spad{R} is an integral domain. If not,{} then numer(\\spad{f}) = \\spad{f} viewed as a polynomial in the kernels over \\spad{R}.")) (|coerce| (($ (|Fraction| (|Polynomial| (|Fraction| |#1|)))) "\\spad{coerce(f)} returns \\spad{f} as an element of \\%.") (($ (|Polynomial| (|Fraction| |#1|))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.") (($ (|Fraction| |#1|)) "\\spad{coerce(q)} returns \\spad{q} as an element of \\%.") (($ (|SparseMultivariatePolynomial| |#1| (|Kernel| $))) "\\spad{coerce(p)} returns \\spad{p} as an element of \\%.")) (|isMult| (((|Union| (|Record| (|:| |coef| (|Integer|)) (|:| |var| (|Kernel| $))) "failed") $) "\\spad{isMult(p)} returns \\spad{[n,{} x]} if \\spad{p = n * x} and \\spad{n <> 0}.")) (|isPlus| (((|Union| (|List| $) "failed") $) "\\spad{isPlus(p)} returns \\spad{[m1,{}...,{}mn]} if \\spad{p = m1 +...+ mn} and \\spad{n > 1}.")) (|isExpt| (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|Symbol|)) "\\spad{isExpt(p,{}f)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = f(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $ (|BasicOperator|)) "\\spad{isExpt(p,{}op)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0} and \\spad{x = op(a)}.") (((|Union| (|Record| (|:| |var| (|Kernel| $)) (|:| |exponent| (|Integer|))) "failed") $) "\\spad{isExpt(p)} returns \\spad{[x,{} n]} if \\spad{p = x**n} and \\spad{n <> 0}.")) (|isTimes| (((|Union| (|List| $) "failed") $) "\\spad{isTimes(p)} returns \\spad{[a1,{}...,{}an]} if \\spad{p = a1*...*an} and \\spad{n > 1}.")) (** (($ $ (|NonNegativeInteger|)) "\\spad{x**n} returns \\spad{x} * \\spad{x} * \\spad{x} * ... * \\spad{x} (\\spad{n} times).")) (|eval| (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ $)) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a)**n} in \\spad{x} by \\spad{f(a)} for any \\spad{a}.") (($ $ (|Symbol|) (|NonNegativeInteger|) (|Mapping| $ (|List| $))) "\\spad{eval(x,{} s,{} n,{} f)} replaces every \\spad{s(a1,{}...,{}am)**n} in \\spad{x} by \\spad{f(a1,{}...,{}am)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ (|List| $)))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a1,{}...,{}an)**ni} in \\spad{x} by \\spad{\\spad{fi}(a1,{}...,{}an)} for any a1,{}...,{}am.") (($ $ (|List| (|Symbol|)) (|List| (|NonNegativeInteger|)) (|List| (|Mapping| $ $))) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [n1,{}...,{}nm],{} [f1,{}...,{}fm])} replaces every \\spad{\\spad{si}(a)**ni} in \\spad{x} by \\spad{\\spad{fi}(a)} for any \\spad{a}.") (($ $ (|List| (|BasicOperator|)) (|List| $) (|Symbol|)) "\\spad{eval(x,{} [s1,{}...,{}sm],{} [f1,{}...,{}fm],{} y)} replaces every \\spad{\\spad{si}(a)} in \\spad{x} by \\spad{\\spad{fi}(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $ (|BasicOperator|) $ (|Symbol|)) "\\spad{eval(x,{} s,{} f,{} y)} replaces every \\spad{s(a)} in \\spad{x} by \\spad{f(y)} with \\spad{y} replaced by \\spad{a} for any \\spad{a}.") (($ $) "\\spad{eval(f)} unquotes all the quoted operators in \\spad{f}.") (($ $ (|List| (|Symbol|))) "\\spad{eval(f,{} [foo1,{}...,{}foon])} unquotes all the \\spad{fooi}\\spad{'s} in \\spad{f}.") (($ $ (|Symbol|)) "\\spad{eval(f,{} foo)} unquotes all the foo\\spad{'s} in \\spad{f}.")) (|applyQuote| (($ (|Symbol|) (|List| $)) "\\spad{applyQuote(foo,{} [x1,{}...,{}xn])} returns \\spad{'foo(x1,{}...,{}xn)}.") (($ (|Symbol|) $ $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z,{} t)} returns \\spad{'foo(x,{}y,{}z,{}t)}.") (($ (|Symbol|) $ $ $) "\\spad{applyQuote(foo,{} x,{} y,{} z)} returns \\spad{'foo(x,{}y,{}z)}.") (($ (|Symbol|) $ $) "\\spad{applyQuote(foo,{} x,{} y)} returns \\spad{'foo(x,{}y)}.") (($ (|Symbol|) $) "\\spad{applyQuote(foo,{} x)} returns \\spad{'foo(x)}.")) (|variables| (((|List| (|Symbol|)) $) "\\spad{variables(f)} returns the list of all the variables of \\spad{f}.")) (|ground| ((|#1| $) "\\spad{ground(f)} returns \\spad{f} as an element of \\spad{R}. An error occurs if \\spad{f} is not an element of \\spad{R}.")) (|ground?| (((|Boolean|) $) "\\spad{ground?(f)} tests if \\spad{f} is an element of \\spad{R}."))) -((-4267 -1450 (|has| |#1| (-984)) (|has| |#1| (-453))) (-4265 |has| |#1| (-162)) (-4264 |has| |#1| (-162)) ((-4272 "*") |has| |#1| (-522)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-522)) (-4262 |has| |#1| (-522)) (-4103 . T)) +((-4267 -1450 (|has| |#1| (-984)) (|has| |#1| (-453))) (-4265 |has| |#1| (-162)) (-4264 |has| |#1| (-162)) ((-4272 "*") |has| |#1| (-522)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-522)) (-4262 |has| |#1| (-522)) (-4102 . T)) NIL (-412 R -1329) ((|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."))) @@ -1610,11 +1610,11 @@ NIL NIL (-420) ((|constructor| (NIL "\\axiomType{FortranVectorCategory} provides support for producing Functions and Subroutines when the input to these is an AXIOM object of type \\axiomType{Vector} or in domains involving \\axiomType{FortranCode}.")) (|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.}") (($ (|Vector| (|MachineFloat|))) "\\spad{coerce(v)} produces an ASP which returns the value of \\spad{v}."))) -((-4103 . T)) +((-4102 . T)) NIL (-421) ((|constructor| (NIL "\\axiomType{FortranVectorFunctionCategory} is the catagory of arguments to NAG Library routines which return the values of vectors of functions.")) (|retractIfCan| (((|Union| $ "failed") (|Vector| (|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") (|Vector| (|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") (|Vector| (|Polynomial| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Polynomial| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Expression| (|Integer|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (((|Union| $ "failed") (|Vector| (|Expression| (|Float|)))) "\\spad{retractIfCan(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}")) (|retract| (($ (|Vector| (|Fraction| (|Polynomial| (|Integer|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Fraction| (|Polynomial| (|Float|))))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Polynomial| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Polynomial| (|Float|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|Expression| (|Integer|)))) "\\spad{retract(e)} tries to convert \\spad{e} into an ASP,{} checking that \\indented{1}{legal Fortran-77 is produced.}") (($ (|Vector| (|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.}"))) -((-4103 . T)) +((-4102 . T)) NIL (-422 UP) ((|constructor| (NIL "\\spadtype{GaloisGroupFactorizer} provides functions to factor resolvents.")) (|btwFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|) (|Set| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{btwFact(p,{}sqf,{}pd,{}r)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors). \\spad{pd} is the \\spadtype{Set} of possible degrees. \\spad{r} is a lower bound for the number of factors of \\spad{p}. Please do not use this function in your code because its design may change.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(p,{}sqf)} returns the factorization of \\spad{p},{} the result is a Record such that \\spad{contp=}content \\spad{p},{} \\spad{factors=}List of irreducible factors of \\spad{p} with exponent. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).")) (|factorOfDegree| (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|) (|Boolean|)) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees,{}r,{}sqf)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors. If \\spad{sqf=true} the polynomial is assumed to be square free (\\spadignore{i.e.} without repeated factors).") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees,{}r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees},{} and that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorOfDegree(d,{}p,{}listOfDegrees)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1| (|NonNegativeInteger|)) "\\spad{factorOfDegree(d,{}p,{}r)} returns a factor of \\spad{p} of degree \\spad{d} knowing that \\spad{p} has at least \\spad{r} factors.") (((|Union| |#1| "failed") (|PositiveInteger|) |#1|) "\\spad{factorOfDegree(d,{}p)} returns a factor of \\spad{p} of degree \\spad{d}.")) (|factorSquareFree| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}d,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}listOfDegrees,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factorSquareFree(p,{}listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factorSquareFree(p,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors. \\spad{f} is supposed not having any repeated factor (this is not checked).") (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(p)} returns the factorization of \\spad{p} which is supposed not having any repeated factor (this is not checked).")) (|factor| (((|Factored| |#1|) |#1| (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{factor(p,{}d,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{d} divides the degree of all factors of \\spad{p} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|)) (|NonNegativeInteger|)) "\\spad{factor(p,{}listOfDegrees,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm,{} knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees} and that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1| (|List| (|NonNegativeInteger|))) "\\spad{factor(p,{}listOfDegrees)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has for possible splitting of its degree \\spad{listOfDegrees}.") (((|Factored| |#1|) |#1| (|NonNegativeInteger|)) "\\spad{factor(p,{}r)} factorizes the polynomial \\spad{p} using the single factor bound algorithm and knowing that \\spad{p} has at least \\spad{r} factors.") (((|Factored| |#1|) |#1|) "\\spad{factor(p)} returns the factorization of \\spad{p} over the integers.")) (|tryFunctionalDecomposition| (((|Boolean|) (|Boolean|)) "\\spad{tryFunctionalDecomposition(b)} chooses whether factorizers have to look for functional decomposition of polynomials (\\spad{true}) or not (\\spad{false}). Returns the previous value.")) (|tryFunctionalDecomposition?| (((|Boolean|)) "\\spad{tryFunctionalDecomposition?()} returns \\spad{true} if factorizers try functional decomposition of polynomials before factoring them.")) (|eisensteinIrreducible?| (((|Boolean|) |#1|) "\\spad{eisensteinIrreducible?(p)} returns \\spad{true} if \\spad{p} can be shown to be irreducible by Eisenstein\\spad{'s} criterion,{} \\spad{false} is inconclusive.")) (|useEisensteinCriterion| (((|Boolean|) (|Boolean|)) "\\spad{useEisensteinCriterion(b)} chooses whether factorizers check Eisenstein\\spad{'s} criterion before factoring: \\spad{true} for using it,{} \\spad{false} else. Returns the previous value.")) (|useEisensteinCriterion?| (((|Boolean|)) "\\spad{useEisensteinCriterion?()} returns \\spad{true} if factorizers check Eisenstein\\spad{'s} criterion before factoring.")) (|useSingleFactorBound| (((|Boolean|) (|Boolean|)) "\\spad{useSingleFactorBound(b)} chooses the algorithm to be used by the factorizers: \\spad{true} for algorithm with single factor bound,{} \\spad{false} for algorithm with overall bound. Returns the previous value.")) (|useSingleFactorBound?| (((|Boolean|)) "\\spad{useSingleFactorBound?()} returns \\spad{true} if algorithm with single factor bound is used for factorization,{} \\spad{false} for algorithm with overall bound.")) (|modularFactor| (((|Record| (|:| |prime| (|Integer|)) (|:| |factors| (|List| |#1|))) |#1|) "\\spad{modularFactor(f)} chooses a \"good\" prime and returns the factorization of \\spad{f} modulo this prime in a form that may be used by \\spadfunFrom{completeHensel}{GeneralHenselPackage}. If prime is zero it means that \\spad{f} has been proved to be irreducible over the integers or that \\spad{f} is a unit (\\spadignore{i.e.} 1 or \\spad{-1}). \\spad{f} shall be primitive (\\spadignore{i.e.} content(\\spad{p})\\spad{=1}) and square free (\\spadignore{i.e.} without repeated factors).")) (|numberOfFactors| (((|NonNegativeInteger|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{numberOfFactors(ddfactorization)} returns the number of factors of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|stopMusserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{stopMusserTrials(n)} sets to \\spad{n} the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**n} trials. Returns the previous value.") (((|PositiveInteger|)) "\\spad{stopMusserTrials()} returns the bound on the number of factors for which \\spadfun{modularFactor} stops to look for an other prime. You will have to remember that the step of recombining the extraneous factors may take up to \\spad{2**stopMusserTrials()} trials.")) (|musserTrials| (((|PositiveInteger|) (|PositiveInteger|)) "\\spad{musserTrials(n)} sets to \\spad{n} the number of primes to be tried in \\spadfun{modularFactor} and returns the previous value.") (((|PositiveInteger|)) "\\spad{musserTrials()} returns the number of primes that are tried in \\spadfun{modularFactor}.")) (|degreePartition| (((|Multiset| (|NonNegativeInteger|)) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|))))) "\\spad{degreePartition(ddfactorization)} returns the degree partition of the polynomial \\spad{f} modulo \\spad{p} where \\spad{ddfactorization} is the distinct degree factorization of \\spad{f} computed by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} for some prime \\spad{p}.")) (|makeFR| (((|Factored| |#1|) (|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|))))))) "\\spad{makeFR(flist)} turns the final factorization of henselFact into a \\spadtype{Factored} object."))) @@ -1747,7 +1747,7 @@ NIL (-454 |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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|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."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4264 . T) (-4265 . T) (-4267 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -2101) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -3700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) (-455 |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."))) ((-4271 . T)) @@ -1772,7 +1772,7 @@ NIL ((|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"))) (((-4272 "*") |has| |#2| (-162)) (-4263 |has| |#2| (-522)) (-4268 |has| |#2| (-6 -4268)) (-4265 . T) (-4264 . T) (-4267 . 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In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#1| $) "\\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| |#1|) $) "\\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| |#1|) $) "\\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|) |#1| $) "\\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|) |#1|) $) "\\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|) |#1|) $) "\\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|) |#1|) $) "\\spad{any?(p,{}u)} tests if \\axiom{\\spad{p}(\\spad{x})} is \\spad{true} for any element \\spad{x} of \\spad{u}. Note: for collections,{} \\axiom{any?(\\spad{p},{}\\spad{u}) = reduce(or,{}map(\\spad{f},{}\\spad{u}),{}\\spad{false},{}\\spad{true})}.")) (|map!| (($ (|Mapping| |#1| |#1|) $) "\\spad{map!(f,{}u)} destructively replaces each element \\spad{x} of \\spad{u} by \\axiom{\\spad{f}(\\spad{x})}.")) (|map| (($ (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) -((-4103 . T)) +((-4102 . T)) NIL (-469) ((|constructor| (NIL "This domain represents hostnames on computer network.")) (|host| (($ (|String|)) "\\spad{host(n)} constructs a Hostname from the name \\spad{`n'}."))) @@ -2182,7 +2182,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4271)) (|HasCategory| |#2| (QUOTE (-795))) (|HasAttribute| |#1| (QUOTE -4270)) (|HasCategory| |#3| (QUOTE (-1027)))) (-563 |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|) $ |#1| |#1|) "\\spad{swap!(u,{}i,{}j)} interchanges elements \\spad{i} and \\spad{j} of aggregate \\spad{u}. No meaningful value is returned.")) (|fill!| (($ $ |#2|) "\\spad{fill!(u,{}x)} replaces each entry in aggregate \\spad{u} by \\spad{x}. The modified \\spad{u} is returned as value.")) (|first| ((|#2| $) "\\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| ((|#1| $) "\\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| ((|#1| $) "\\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|) |#2| $) "\\spad{entry?(x,{}u)} tests if \\spad{x} equals \\axiom{\\spad{u} . \\spad{i}} for some index \\spad{i}.")) (|indices| (((|List| |#1|) $) "\\spad{indices(u)} returns a list of indices of aggregate \\spad{u} in no particular order.")) (|index?| (((|Boolean|) |#1| $) "\\spad{index?(i,{}u)} tests if \\spad{i} is an index of aggregate \\spad{u}.")) (|entries| (((|List| |#2|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) -((-4103 . T)) +((-4102 . T)) NIL (-564) ((|constructor| (NIL "\\indented{1}{This domain defines the datatype for the Java} Virtual Machine byte codes.")) (|coerce| (($ (|Byte|)) "\\spad{coerce(x)} the numerical byte value into a \\spad{JVM} bytecode."))) @@ -2202,7 +2202,7 @@ NIL NIL (-568 |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| |#2| "failed") |#1| $) "\\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| |#2| "failed") |#1| $) "\\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| |#1|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#1| $) "\\spad{key?(k,{}t)} tests if \\spad{k} is a key in table \\spad{t}."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-569 R S) ((|constructor| (NIL "This package exports some auxiliary functions on kernels")) (|constantIfCan| (((|Union| |#1| "failed") (|Kernel| |#2|)) "\\spad{constantIfCan(k)} \\undocumented")) (|constantKernel| (((|Kernel| |#2|) |#1|) "\\spad{constantKernel(r)} \\undocumented"))) @@ -2338,7 +2338,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4271))) (-602 S) ((|constructor| (NIL "A linear aggregate is an aggregate whose elements are indexed by integers. Examples of linear aggregates are strings,{} lists,{} and arrays. Most of the exported operations for linear aggregates are non-destructive but are not always efficient for a particular aggregate. For example,{} \\spadfun{concat} of two lists needs only to copy its first argument,{} whereas \\spadfun{concat} of two arrays needs to copy both arguments. Most of the operations exported here apply to infinite objects (\\spadignore{e.g.} streams) as well to finite ones. For finite linear aggregates,{} see \\spadtype{FiniteLinearAggregate}.")) (|setelt| ((|#1| $ (|UniversalSegment| (|Integer|)) |#1|) "\\spad{setelt(u,{}i..j,{}x)} (also written: \\axiom{\\spad{u}(\\spad{i}..\\spad{j}) \\spad{:=} \\spad{x}}) destructively replaces each element in the segment \\axiom{\\spad{u}(\\spad{i}..\\spad{j})} by \\spad{x}. The value \\spad{x} is returned. Note: \\spad{u} is destructively change so that \\axiom{\\spad{u}.\\spad{k} \\spad{:=} \\spad{x} for \\spad{k} in \\spad{i}..\\spad{j}}; its length remains unchanged.")) (|insert| (($ $ $ (|Integer|)) "\\spad{insert(v,{}u,{}k)} returns a copy of \\spad{u} having \\spad{v} inserted beginning at the \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{v},{}\\spad{u},{}\\spad{k}) = concat( \\spad{u}(0..\\spad{k}-1),{} \\spad{v},{} \\spad{u}(\\spad{k}..) )}.") (($ |#1| $ (|Integer|)) "\\spad{insert(x,{}u,{}i)} returns a copy of \\spad{u} having \\spad{x} as its \\axiom{\\spad{i}}th element. Note: \\axiom{insert(\\spad{x},{}a,{}\\spad{k}) = concat(concat(a(0..\\spad{k}-1),{}\\spad{x}),{}a(\\spad{k}..))}.")) (|delete| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{delete(u,{}i..j)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th through \\axiom{\\spad{j}}th element deleted. Note: \\axiom{delete(a,{}\\spad{i}..\\spad{j}) = concat(a(0..\\spad{i}-1),{}a(\\spad{j+1}..))}.") (($ $ (|Integer|)) "\\spad{delete(u,{}i)} returns a copy of \\spad{u} with the \\axiom{\\spad{i}}th element deleted. Note: for lists,{} \\axiom{delete(a,{}\\spad{i}) \\spad{==} concat(a(0..\\spad{i} - 1),{}a(\\spad{i} + 1,{}..))}.")) (|elt| (($ $ (|UniversalSegment| (|Integer|))) "\\spad{elt(u,{}i..j)} (also written: \\axiom{a(\\spad{i}..\\spad{j})}) returns the aggregate of elements \\axiom{\\spad{u}} for \\spad{k} from \\spad{i} to \\spad{j} in that order. Note: in general,{} \\axiom{a.\\spad{s} = [a.\\spad{k} for \\spad{i} in \\spad{s}]}.")) (|map| (($ (|Mapping| |#1| |#1| |#1|) $ $) "\\spad{map(f,{}u,{}v)} returns a new collection \\spad{w} with elements \\axiom{\\spad{z} = \\spad{f}(\\spad{x},{}\\spad{y})} for corresponding elements \\spad{x} and \\spad{y} from \\spad{u} and \\spad{v}. Note: for linear aggregates,{} \\axiom{\\spad{w}.\\spad{i} = \\spad{f}(\\spad{u}.\\spad{i},{}\\spad{v}.\\spad{i})}.")) (|concat| (($ (|List| $)) "\\spad{concat(u)},{} where \\spad{u} is a lists of aggregates \\axiom{[a,{}\\spad{b},{}...,{}\\spad{c}]},{} returns a single aggregate consisting of the elements of \\axiom{a} followed by those of \\spad{b} followed ... by the elements of \\spad{c}. Note: \\axiom{concat(a,{}\\spad{b},{}...,{}\\spad{c}) = concat(a,{}concat(\\spad{b},{}...,{}\\spad{c}))}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} then \\axiom{\\spad{w}.\\spad{i} = \\spad{u}.\\spad{i} for \\spad{i} in indices \\spad{u}} and \\axiom{\\spad{w}.(\\spad{j} + maxIndex \\spad{u}) = \\spad{v}.\\spad{j} for \\spad{j} in indices \\spad{v}}.") (($ |#1| $) "\\spad{concat(x,{}u)} returns aggregate \\spad{u} with additional element at the front. Note: for lists: \\axiom{concat(\\spad{x},{}\\spad{u}) \\spad{==} concat([\\spad{x}],{}\\spad{u})}.") (($ $ |#1|) "\\spad{concat(u,{}x)} returns aggregate \\spad{u} with additional element \\spad{x} at the end. Note: for lists,{} \\axiom{concat(\\spad{u},{}\\spad{x}) \\spad{==} concat(\\spad{u},{}[\\spad{x}])}")) (|new| (($ (|NonNegativeInteger|) |#1|) "\\spad{new(n,{}x)} returns \\axiom{fill!(new \\spad{n},{}\\spad{x})}."))) -((-4103 . T)) +((-4102 . T)) NIL (-603 R -1329 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."))) @@ -2364,7 +2364,7 @@ NIL ((|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)))) -(-609 A -3686) +(-609 A -2847) ((|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}}"))) ((-4264 . T) (-4265 . T) (-4267 . T)) ((|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (LIST (QUOTE -975) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-432))) (|HasCategory| |#1| (QUOTE (-344)))) @@ -2398,7 +2398,7 @@ NIL NIL (-617 S) ((|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}."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-618 -1329) ((|constructor| (NIL "This package solves linear system in the matrix form \\spad{AX = B}. It is essentially a particular instantiation of the package \\spadtype{LinearSystemMatrixPackage} for Matrix and Vector. This package\\spad{'s} existence makes it easier to use \\spadfun{solve} in the AXIOM interpreter.")) (|rank| (((|NonNegativeInteger|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{rank(A,{}B)} computes the rank of the complete matrix \\spad{(A|B)} of the linear system \\spad{AX = B}.")) (|hasSolution?| (((|Boolean|) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{hasSolution?(A,{}B)} tests if the linear system \\spad{AX = B} has a solution.")) (|particularSolution| (((|Union| (|Vector| |#1|) "failed") (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{particularSolution(A,{}B)} finds a particular solution of the linear system \\spad{AX = B}.")) (|solve| (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|List| (|List| |#1|)) (|List| (|Vector| |#1|))) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|List| (|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|))))) (|Matrix| |#1|) (|List| (|Vector| |#1|))) "\\spad{solve(A,{}LB)} finds a particular soln of the systems \\spad{AX = B} and a basis of the associated homogeneous systems \\spad{AX = 0} where \\spad{B} varies in the list of column vectors \\spad{LB}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|List| (|List| |#1|)) (|Vector| |#1|)) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}.") (((|Record| (|:| |particular| (|Union| (|Vector| |#1|) "failed")) (|:| |basis| (|List| (|Vector| |#1|)))) (|Matrix| |#1|) (|Vector| |#1|)) "\\spad{solve(A,{}B)} finds a particular solution of the system \\spad{AX = B} and a basis of the associated homogeneous system \\spad{AX = 0}."))) @@ -2426,7 +2426,7 @@ NIL NIL (-624 S) ((|constructor| (NIL "LazyStreamAggregate is the category of streams with lazy evaluation. It is understood that the function 'empty?' will cause lazy evaluation if necessary to determine if there are entries. Functions which call 'empty?',{} \\spadignore{e.g.} 'first' and 'rest',{} will also cause lazy evaluation if necessary.")) (|complete| (($ $) "\\spad{complete(st)} causes all entries of 'st' to be computed. this function should only be called on streams which are known to be finite.")) (|extend| (($ $ (|Integer|)) "\\spad{extend(st,{}n)} causes entries to be computed,{} if necessary,{} so that 'st' will have at least \\spad{'n'} explicit entries or so that all entries of 'st' will be computed if 'st' is finite with length \\spad{<=} \\spad{n}.")) (|numberOfComputedEntries| (((|NonNegativeInteger|) $) "\\spad{numberOfComputedEntries(st)} returns the number of explicitly computed entries of stream \\spad{st} which exist immediately prior to the time this function is called.")) (|rst| (($ $) "\\spad{rst(s)} returns a pointer to the next node of stream \\spad{s}. Caution: this function should only be called after a \\spad{empty?} test has been made since there no error check.")) (|frst| ((|#1| $) "\\spad{frst(s)} returns the first element of stream \\spad{s}. Caution: this function should only be called after a \\spad{empty?} test has been made since there no error check.")) (|lazyEvaluate| (($ $) "\\spad{lazyEvaluate(s)} causes one lazy evaluation of stream \\spad{s}. Caution: the first node must be a lazy evaluation mechanism (satisfies \\spad{lazy?(s) = true}) as there is no error check. Note: a call to this function may or may not produce an explicit first entry")) (|lazy?| (((|Boolean|) $) "\\spad{lazy?(s)} returns \\spad{true} if the first node of the stream \\spad{s} is a lazy evaluation mechanism which could produce an additional entry to \\spad{s}.")) (|explicitlyEmpty?| (((|Boolean|) $) "\\spad{explicitlyEmpty?(s)} returns \\spad{true} if the stream is an (explicitly) empty stream. Note: this is a null test which will not cause lazy evaluation.")) (|explicitEntries?| (((|Boolean|) $) "\\spad{explicitEntries?(s)} returns \\spad{true} if the stream \\spad{s} has explicitly computed entries,{} and \\spad{false} otherwise.")) (|select| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{select(f,{}st)} returns a stream consisting of those elements of stream \\spad{st} satisfying the predicate \\spad{f}. Note: \\spad{select(f,{}st) = [x for x in st | f(x)]}.")) (|remove| (($ (|Mapping| (|Boolean|) |#1|) $) "\\spad{remove(f,{}st)} returns a stream consisting of those elements of stream \\spad{st} which do not satisfy the predicate \\spad{f}. Note: \\spad{remove(f,{}st) = [x for x in st | not f(x)]}."))) -((-4103 . T)) +((-4102 . T)) NIL (-625 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"))) @@ -2470,7 +2470,7 @@ NIL ((|HasAttribute| |#2| (QUOTE (-4272 "*"))) (|HasCategory| |#2| (QUOTE (-289))) (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (QUOTE (-522)))) (-635 R |Row| |Col|) ((|constructor| (NIL "\\spadtype{MatrixCategory} is a general matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col. A domain belonging to this category will be shallowly mutable. 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.")) (|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.")) (|minordet| ((|#1| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|determinant| ((|#1| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}. Error: if the matrix is not square.")) (|nullSpace| (((|List| |#3|) $) "\\spad{nullSpace(m)} returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#1|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#1|) "\\spad{exquo(m,{}r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if matrix is not square or if the matrix is square but not invertible.") (($ $ (|NonNegativeInteger|)) "\\spad{x ** n} computes a non-negative integral power of the matrix \\spad{x}. Error: if the matrix is not square.")) (* ((|#2| |#2| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#3| $ |#3|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.") (($ (|Integer|) $) "\\spad{n * x} is an integer multiple.") (($ $ |#1|) "\\spad{x * r} is the right scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ |#1| $) "\\spad{r*x} is the left scalar multiple of the scalar \\spad{r} and the matrix \\spad{x}.") (($ $ $) "\\spad{x * y} is the product of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (- (($ $) "\\spad{-x} returns the negative of the matrix \\spad{x}.") (($ $ $) "\\spad{x - y} is the difference of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (+ (($ $ $) "\\spad{x + y} is the sum of the matrices \\spad{x} and \\spad{y}. Error: if the dimensions are incompatible.")) (|setsubMatrix!| (($ $ (|Integer|) (|Integer|) $) "\\spad{setsubMatrix(x,{}i1,{}j1,{}y)} destructively alters the matrix \\spad{x}. Here \\spad{x(i,{}j)} is set to \\spad{y(i-i1+1,{}j-j1+1)} for \\spad{i = i1,{}...,{}i1-1+nrows y} and \\spad{j = j1,{}...,{}j1-1+ncols y}.")) (|subMatrix| (($ $ (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subMatrix(x,{}i1,{}i2,{}j1,{}j2)} extracts the submatrix \\spad{[x(i,{}j)]} where the index \\spad{i} ranges from \\spad{i1} to \\spad{i2} and the index \\spad{j} ranges from \\spad{j1} to \\spad{j2}.")) (|swapColumns!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapColumns!(m,{}i,{}j)} interchanges the \\spad{i}th and \\spad{j}th columns of \\spad{m}. This destructively alters the matrix.")) (|swapRows!| (($ $ (|Integer|) (|Integer|)) "\\spad{swapRows!(m,{}i,{}j)} interchanges the \\spad{i}th and \\spad{j}th rows of \\spad{m}. This destructively alters the matrix.")) (|setelt| (($ $ (|List| (|Integer|)) (|List| (|Integer|)) $) "\\spad{setelt(x,{}rowList,{}colList,{}y)} destructively alters the matrix \\spad{x}. If \\spad{y} is \\spad{m}-by-\\spad{n},{} \\spad{rowList = [i<1>,{}i<2>,{}...,{}i<m>]} and \\spad{colList = [j<1>,{}j<2>,{}...,{}j<n>]},{} then \\spad{x(i<k>,{}j<l>)} is set to \\spad{y(k,{}l)} for \\spad{k = 1,{}...,{}m} and \\spad{l = 1,{}...,{}n}.")) (|elt| (($ $ (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{elt(x,{}rowList,{}colList)} returns an \\spad{m}-by-\\spad{n} matrix consisting of elements of \\spad{x},{} where \\spad{m = \\# rowList} and \\spad{n = \\# colList}. If \\spad{rowList = [i<1>,{}i<2>,{}...,{}i<m>]} and \\spad{colList = [j<1>,{}j<2>,{}...,{}j<n>]},{} then the \\spad{(k,{}l)}th entry of \\spad{elt(x,{}rowList,{}colList)} is \\spad{x(i<k>,{}j<l>)}.")) (|listOfLists| (((|List| (|List| |#1|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|vertConcat| (($ $ $) "\\spad{vertConcat(x,{}y)} vertically concatenates two matrices with an equal number of columns. The entries of \\spad{y} appear below of the entries of \\spad{x}. Error: if the matrices do not have the same number of columns.")) (|horizConcat| (($ $ $) "\\spad{horizConcat(x,{}y)} horizontally concatenates two matrices with an equal number of rows. The entries of \\spad{y} appear to the right of the entries of \\spad{x}. Error: if the matrices do not have the same number of rows.")) (|squareTop| (($ $) "\\spad{squareTop(m)} returns an \\spad{n}-by-\\spad{n} matrix consisting of the first \\spad{n} rows of the \\spad{m}-by-\\spad{n} matrix \\spad{m}. Error: if \\spad{m < n}.")) (|transpose| (($ $) "\\spad{transpose(m)} returns the transpose of the matrix \\spad{m}.") (($ |#2|) "\\spad{transpose(r)} converts the row \\spad{r} to a row matrix.")) (|coerce| (($ |#3|) "\\spad{coerce(col)} converts the column \\spad{col} to a column matrix.")) (|diagonalMatrix| (($ (|List| $)) "\\spad{diagonalMatrix([m1,{}...,{}mk])} creates a block diagonal matrix \\spad{M} with block matrices {\\em m1},{}...,{}{\\em mk} down the diagonal,{} with 0 block matrices elsewhere. More precisly: if \\spad{\\spad{ri} := nrows \\spad{mi}},{} \\spad{\\spad{ci} := ncols \\spad{mi}},{} then \\spad{m} is an (\\spad{r1+}..\\spad{+rk}) by (\\spad{c1+}..\\spad{+ck}) - matrix with entries \\spad{m.i.j = ml.(i-r1-..-r(l-1)).(j-n1-..-n(l-1))},{} if \\spad{(r1+..+r(l-1)) < i <= r1+..+rl} and \\spad{(c1+..+c(l-1)) < i <= c1+..+cl},{} \\spad{m.i.j} = 0 otherwise.") (($ (|List| |#1|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ (|NonNegativeInteger|) |#1|) "\\spad{scalarMatrix(n,{}r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere.")) (|matrix| (($ (|List| (|List| |#1|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|zero| (($ (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{zero(m,{}n)} returns an \\spad{m}-by-\\spad{n} zero matrix.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = -m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|finiteAggregate| ((|attribute|) "matrices are finite")) (|shallowlyMutable| ((|attribute|) "One may destructively alter matrices"))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-636 R |Row| |Col| M) ((|constructor| (NIL "\\spadtype{MatrixLinearAlgebraFunctions} provides functions to compute inverses and canonical forms.")) (|inverse| (((|Union| |#4| "failed") |#4|) "\\spad{inverse(m)} returns the inverse of the matrix. If the matrix is not invertible,{} \"failed\" is returned. Error: if the matrix is not square.")) (|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")) (|rowEchelon| ((|#4| |#4|) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (|adjoint| (((|Record| (|:| |adjMat| |#4|) (|:| |detMat| |#1|)) |#4|) "\\spad{adjoint(m)} returns the ajoint matrix of \\spad{m} (\\spadignore{i.e.} the matrix \\spad{n} such that \\spad{m*n} = determinant(\\spad{m})*id) and the detrminant of \\spad{m}.")) (|invertIfCan| (((|Union| |#4| "failed") |#4|) "\\spad{invertIfCan(m)} returns the inverse of \\spad{m} over \\spad{R}")) (|fractionFreeGauss!| ((|#4| |#4|) "\\spad{fractionFreeGauss(m)} performs the fraction free gaussian elimination on the matrix \\spad{m}.")) (|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}.")) (|elColumn2!| ((|#4| |#4| |#1| (|Integer|) (|Integer|)) "\\spad{elColumn2!(m,{}a,{}i,{}j)} adds to column \\spad{i} a*column(\\spad{m},{}\\spad{j}) : elementary operation of second kind. (\\spad{i} \\spad{~=j})")) (|elRow2!| ((|#4| |#4| |#1| (|Integer|) (|Integer|)) "\\spad{elRow2!(m,{}a,{}i,{}j)} adds to row \\spad{i} a*row(\\spad{m},{}\\spad{j}) : elementary operation of second kind. (\\spad{i} \\spad{~=j})")) (|elRow1!| ((|#4| |#4| (|Integer|) (|Integer|)) "\\spad{elRow1!(m,{}i,{}j)} swaps rows \\spad{i} and \\spad{j} of matrix \\spad{m} : elementary operation of first kind")) (|minordet| ((|#1| |#4|) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors. Error: if the matrix is not square.")) (|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."))) @@ -2498,11 +2498,11 @@ NIL NIL (-642) ((|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"))) -((-4263 . T) (-4268 |has| (-647) (-344)) (-4262 |has| (-647) (-344)) (-4146 . T) (-4269 |has| (-647) (-6 -4269)) (-4266 |has| (-647) (-6 -4266)) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) +((-4263 . T) (-4268 |has| (-647) (-344)) (-4262 |has| (-647) (-344)) (-4147 . T) (-4269 |has| (-647) (-6 -4269)) (-4266 |has| (-647) (-6 -4266)) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) ((|HasCategory| (-647) (QUOTE (-140))) (|HasCategory| (-647) (QUOTE (-138))) (|HasCategory| (-647) (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| (-647) (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| (-647) (QUOTE (-349))) (|HasCategory| (-647) (QUOTE (-344))) (|HasCategory| (-647) (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| (-647) (QUOTE (-216))) (-1450 (|HasCategory| (-647) (QUOTE (-344))) (|HasCategory| (-647) (QUOTE (-330)))) (|HasCategory| (-647) (QUOTE (-330))) (|HasCategory| (-647) (LIST (QUOTE -268) (QUOTE (-647)) (QUOTE (-647)))) (|HasCategory| (-647) (LIST (QUOTE -291) (QUOTE (-647)))) (|HasCategory| (-647) (LIST (QUOTE -491) (QUOTE (-1099)) (QUOTE (-647)))) (|HasCategory| (-647) (LIST (QUOTE -827) (QUOTE (-360)))) (|HasCategory| (-647) (LIST (QUOTE -827) (QUOTE (-530)))) (|HasCategory| (-647) (LIST (QUOTE -572) (LIST (QUOTE -833) (QUOTE (-530))))) (|HasCategory| (-647) (LIST (QUOTE -572) (LIST (QUOTE -833) (QUOTE (-360))))) (-1450 (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-344))) (|HasCategory| (-647) (QUOTE (-330)))) (|HasCategory| (-647) (LIST (QUOTE -572) (QUOTE (-506)))) (|HasCategory| (-647) (QUOTE (-960))) (|HasCategory| (-647) (QUOTE (-1121))) (-12 (|HasCategory| (-647) (QUOTE (-941))) (|HasCategory| (-647) (QUOTE (-1121)))) (-1450 (-12 (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (|HasCategory| (-647) (QUOTE (-344))) (-12 (|HasCategory| (-647) (QUOTE (-330))) (|HasCategory| (-647) (QUOTE (-850))))) (-1450 (-12 (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (-12 (|HasCategory| (-647) (QUOTE (-344))) (|HasCategory| (-647) (QUOTE (-850)))) (-12 (|HasCategory| (-647) (QUOTE (-330))) (|HasCategory| (-647) (QUOTE (-850))))) (|HasCategory| (-647) (QUOTE (-515))) (-12 (|HasCategory| (-647) (QUOTE (-993))) (|HasCategory| (-647) (QUOTE (-1121)))) (|HasCategory| (-647) (QUOTE (-993))) (-1450 (|HasCategory| (-647) (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| (-647) (QUOTE (-344)))) (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850))) (-1450 (-12 (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (|HasCategory| (-647) (QUOTE (-344)))) (-1450 (-12 (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (|HasCategory| (-647) (QUOTE (-522)))) (-12 (|HasCategory| (-647) (QUOTE (-216))) (|HasCategory| (-647) (QUOTE (-344)))) (-12 (|HasCategory| (-647) (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| (-647) (QUOTE (-344)))) (|HasCategory| (-647) (LIST (QUOTE -975) (QUOTE (-530)))) (|HasCategory| (-647) (QUOTE (-795))) (|HasCategory| (-647) (QUOTE (-522))) (|HasAttribute| (-647) (QUOTE -4269)) (|HasAttribute| (-647) (QUOTE -4266)) (-12 (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (-1450 (-12 (|HasCategory| $ (QUOTE (-138))) (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (|HasCategory| (-647) (QUOTE (-138)))) (-1450 (-12 (|HasCategory| $ (QUOTE (-138))) (|HasCategory| (-647) (QUOTE (-289))) (|HasCategory| (-647) (QUOTE (-850)))) (|HasCategory| (-647) (QUOTE (-330))))) (-643 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}."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-644 U) ((|constructor| (NIL "This package supports factorization and gcds of univariate polynomials over the integers modulo different primes. The inputs are given as polynomials over the integers with the prime passed explicitly as an extra argument.")) (|exptMod| ((|#1| |#1| (|Integer|) |#1| (|Integer|)) "\\spad{exptMod(f,{}n,{}g,{}p)} raises the univariate polynomial \\spad{f} to the \\spad{n}th power modulo the polynomial \\spad{g} and the prime \\spad{p}.")) (|separateFactors| (((|List| |#1|) (|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|)))) (|Integer|)) "\\spad{separateFactors(ddl,{} p)} refines the distinct degree factorization produced by \\spadfunFrom{ddFact}{ModularDistinctDegreeFactorizer} to give a complete list of factors.")) (|ddFact| (((|List| (|Record| (|:| |factor| |#1|) (|:| |degree| (|Integer|)))) |#1| (|Integer|)) "\\spad{ddFact(f,{}p)} computes a distinct degree factorization of the polynomial \\spad{f} modulo the prime \\spad{p},{} \\spadignore{i.e.} such that each factor is a product of irreducibles of the same degrees. The input polynomial \\spad{f} is assumed to be square-free modulo \\spad{p}.")) (|factor| (((|List| |#1|) |#1| (|Integer|)) "\\spad{factor(f1,{}p)} returns the list of factors of the univariate polynomial \\spad{f1} modulo the integer prime \\spad{p}. Error: if \\spad{f1} is not square-free modulo \\spad{p}.")) (|linears| ((|#1| |#1| (|Integer|)) "\\spad{linears(f,{}p)} returns the product of all the linear factors of \\spad{f} modulo \\spad{p}. Potentially incorrect result if \\spad{f} is not square-free modulo \\spad{p}.")) (|gcd| ((|#1| |#1| |#1| (|Integer|)) "\\spad{gcd(f1,{}f2,{}p)} computes the \\spad{gcd} of the univariate polynomials \\spad{f1} and \\spad{f2} modulo the integer prime \\spad{p}."))) @@ -2568,7 +2568,7 @@ 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 -(-660 R |Mod| -1648 -1216 |exactQuo|) +(-660 R |Mod| -1810 -4067 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4262 . T) (-4268 . T) (-4263 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) NIL @@ -2584,7 +2584,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#1| (|FreeGroup| (|BasicOperator|))) "\\spad{makeop should} be local but conditional")) (|opeval| ((|#2| (|BasicOperator|) |#2|) "\\spad{opeval should} be local but conditional")) (** (($ $ (|Integer|)) "\\spad{op**n} \\undocumented") (($ (|BasicOperator|) (|Integer|)) "\\spad{op**n} \\undocumented")) (|evaluateInverse| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluateInverse(x,{}f)} \\undocumented")) (|evaluate| (($ $ (|Mapping| |#2| |#2|)) "\\spad{evaluate(f,{} u +-> g u)} attaches the map \\spad{g} to \\spad{f}. \\spad{f} must be a basic operator \\spad{g} MUST be additive,{} \\spadignore{i.e.} \\spad{g(a + b) = g(a) + g(b)} for any \\spad{a},{} \\spad{b} in \\spad{M}. This implies that \\spad{g(n a) = n g(a)} for any \\spad{a} in \\spad{M} and integer \\spad{n > 0}.")) (|conjug| ((|#1| |#1|) "\\spad{conjug(x)}should be local but conditional")) (|adjoint| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4265 |has| |#1| (-162)) (-4264 |has| |#1| (-162)) (-4267 . T)) ((|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140)))) -(-664 R |Mod| -1648 -1216 |exactQuo|) +(-664 R |Mod| -1810 -4067 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4267 . T)) NIL @@ -2670,7 +2670,7 @@ NIL ((-12 (|HasCategory| |#1| (QUOTE (-349))) (|HasCategory| |#2| (QUOTE (-349)))) (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (|HasCategory| |#2| (QUOTE (-795)))) (-685 S) ((|constructor| (NIL "A multi-set aggregate is a set which keeps track of the multiplicity of its elements."))) -((-4260 . T) (-4271 . T) (-4103 . T)) +((-4260 . T) (-4271 . T) (-4102 . T)) NIL (-686 S) ((|constructor| (NIL "A multiset is a set with multiplicities.")) (|remove!| (($ (|Mapping| (|Boolean|) |#1|) $ (|Integer|)) "\\spad{remove!(p,{}ms,{}number)} removes destructively at most \\spad{number} copies of elements \\spad{x} such that \\spad{p(x)} is \\spadfun{\\spad{true}} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.") (($ |#1| $ (|Integer|)) "\\spad{remove!(x,{}ms,{}number)} removes destructively at most \\spad{number} copies of element \\spad{x} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.")) (|remove| (($ (|Mapping| (|Boolean|) |#1|) $ (|Integer|)) "\\spad{remove(p,{}ms,{}number)} removes at most \\spad{number} copies of elements \\spad{x} such that \\spad{p(x)} is \\spadfun{\\spad{true}} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.") (($ |#1| $ (|Integer|)) "\\spad{remove(x,{}ms,{}number)} removes at most \\spad{number} copies of element \\spad{x} if \\spad{number} is positive,{} all of them if \\spad{number} equals zero,{} and all but at most \\spad{-number} if \\spad{number} is negative.")) (|members| (((|List| |#1|) $) "\\spad{members(ms)} returns a list of the elements of \\spad{ms} {\\em without} their multiplicity. See also \\spadfun{parts}.")) (|multiset| (($ (|List| |#1|)) "\\spad{multiset(ls)} creates a multiset with elements from \\spad{ls}.") (($ |#1|) "\\spad{multiset(s)} creates a multiset with singleton \\spad{s}.") (($) "\\spad{multiset()}\\$\\spad{D} creates an empty multiset of domain \\spad{D}."))) @@ -2858,7 +2858,7 @@ NIL ((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-732 R E V P) ((|constructor| (NIL "The category of normalized triangular sets. A triangular set \\spad{ts} is said normalized if for every algebraic variable \\spad{v} of \\spad{ts} the polynomial \\spad{select(ts,{}v)} is normalized \\spad{w}.\\spad{r}.\\spad{t}. every polynomial in \\spad{collectUnder(ts,{}v)}. A polynomial \\spad{p} is said normalized \\spad{w}.\\spad{r}.\\spad{t}. a non-constant polynomial \\spad{q} if \\spad{p} is constant or \\spad{degree(p,{}mdeg(q)) = 0} and \\spad{init(p)} is normalized \\spad{w}.\\spad{r}.\\spad{t}. \\spad{q}. One of the important features of normalized triangular sets is that they are regular 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} \\indented{1}{[2] \\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)} \\indented{1}{[3] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[4] \\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.}"))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-733 S) ((|constructor| (NIL "Numeric provides real and complex numerical evaluation functions for various symbolic types.")) (|numericIfCan| (((|Union| (|Float|) "failed") (|Expression| |#1|) (|PositiveInteger|)) "\\spad{numericIfCan(x,{} n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Expression| |#1|)) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{numericIfCan(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{numericIfCan(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Float|) "failed") (|Polynomial| |#1|)) "\\spad{numericIfCan(x)} returns a real approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.")) (|complexNumericIfCan| (((|Union| (|Complex| (|Float|)) "failed") (|Expression| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| (|Complex| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| |#1|) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Expression| |#1|)) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| (|Complex| |#1|))) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| (|Complex| |#1|)))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Fraction| (|Polynomial| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| |#1|)) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumericIfCan(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places,{} or \"failed\" if \\axiom{\\spad{x}} is not a constant.") (((|Union| (|Complex| (|Float|)) "failed") (|Polynomial| (|Complex| |#1|))) "\\spad{complexNumericIfCan(x)} returns a complex approximation of \\spad{x},{} or \"failed\" if \\axiom{\\spad{x}} is not constant.")) (|complexNumeric| (((|Complex| (|Float|)) (|Expression| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Expression| (|Complex| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Expression| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Expression| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| (|Complex| |#1|))) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| (|Complex| |#1|)))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x}") (((|Complex| (|Float|)) (|Fraction| (|Polynomial| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Polynomial| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Polynomial| (|Complex| |#1|)) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Polynomial| (|Complex| |#1|))) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) (|Complex| |#1|) (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) (|Complex| |#1|)) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.") (((|Complex| (|Float|)) |#1| (|PositiveInteger|)) "\\spad{complexNumeric(x,{} n)} returns a complex approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Complex| (|Float|)) |#1|) "\\spad{complexNumeric(x)} returns a complex approximation of \\spad{x}.")) (|numeric| (((|Float|) (|Expression| |#1|) (|PositiveInteger|)) "\\spad{numeric(x,{} n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Expression| |#1|)) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) (|Fraction| (|Polynomial| |#1|)) (|PositiveInteger|)) "\\spad{numeric(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Fraction| (|Polynomial| |#1|))) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) (|Polynomial| |#1|) (|PositiveInteger|)) "\\spad{numeric(x,{}n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) (|Polynomial| |#1|)) "\\spad{numeric(x)} returns a real approximation of \\spad{x}.") (((|Float|) |#1| (|PositiveInteger|)) "\\spad{numeric(x,{} n)} returns a real approximation of \\spad{x} up to \\spad{n} decimal places.") (((|Float|) |#1|) "\\spad{numeric(x)} returns a real approximation of \\spad{x}."))) @@ -2980,7 +2980,7 @@ NIL ((|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(\\spad{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(\\spad{fi})=0}. The value \"failed\" is returned if \\spad{m < n} and no particular solution is found.")) (|wronskianMatrix| (((|Matrix| |#1|) (|List| |#1|) (|NonNegativeInteger|)) "\\spad{wronskianMatrix([f1,{}...,{}fn],{} q,{} D)} returns the \\spad{q x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),{}...,{}fn^(i-1)]}.") (((|Matrix| |#1|) (|List| |#1|)) "\\spad{wronskianMatrix([f1,{}...,{}fn])} returns the \\spad{n x n} matrix \\spad{m} whose i^th row is \\spad{[f1^(i-1),{}...,{}fn^(i-1)]}."))) 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(QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-1027))))) (-1450 (-12 (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530)))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-162))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-344))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-349))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-675))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-741))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-793))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530)))))) (|HasCategory| (-530) (QUOTE (-795))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -593) (QUOTE (-530))))) (-12 (|HasCategory| |#2| (QUOTE (-216))) (|HasCategory| |#2| (QUOTE (-984)))) (-12 (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (LIST (QUOTE -841) (QUOTE (-1099))))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530))))) (-1450 (|HasCategory| |#2| (QUOTE (-984))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530)))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -975) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-1027)))) (|HasAttribute| |#2| (QUOTE -4267)) (|HasCategory| |#2| (QUOTE (-128))) (|HasCategory| |#2| (QUOTE (-25))) (-12 (|HasCategory| |#2| (QUOTE (-1027))) (|HasCategory| |#2| (LIST (QUOTE -291) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -571) (QUOTE (-804))))) @@ -3042,7 +3042,7 @@ NIL NIL (-778 S) ((|constructor| (NIL "to become an in order iterator")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest entry in the multiset aggregate \\spad{u}."))) -((-4270 . T) (-4260 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4260 . T) (-4271 . T) (-4102 . T)) NIL (-779) ((|constructor| (NIL "\\spadtype{OpenMathServerPackage} provides the necessary operations to run AXIOM as an OpenMath server,{} reading/writing objects to/from a port. Please note the facilities available here are very basic. The idea is that a user calls \\spadignore{e.g.} \\axiom{Omserve(4000,{}60)} and then another process sends OpenMath objects to port 4000 and reads the result.")) (|OMserve| (((|Void|) (|SingleInteger|) (|SingleInteger|)) "\\spad{OMserve(portnum,{}timeout)} puts AXIOM into server mode on port number \\axiom{\\spad{portnum}}. The parameter \\axiom{\\spad{timeout}} specifies the \\spad{timeout} period for the connection.")) (|OMsend| (((|Void|) (|OpenMathConnection|) (|Any|)) "\\spad{OMsend(c,{}u)} attempts to output \\axiom{\\spad{u}} on \\aciom{\\spad{c}} in OpenMath.")) (|OMreceive| (((|Any|) (|OpenMathConnection|)) "\\spad{OMreceive(c)} reads an OpenMath object from connection \\axiom{\\spad{c}} and returns the appropriate AXIOM object."))) @@ -3088,7 +3088,7 @@ NIL ((|constructor| (NIL "Ordered finite sets."))) NIL NIL -(-790 -3003 S) +(-790 -3004 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 @@ -3566,7 +3566,7 @@ NIL NIL (-909 S) ((|constructor| (NIL "A priority queue is a bag of items from an ordered set where the item extracted is always the maximum element.")) (|merge!| (($ $ $) "\\spad{merge!(q,{}q1)} destructively changes priority queue \\spad{q} to include the values from priority queue \\spad{q1}.")) (|merge| (($ $ $) "\\spad{merge(q1,{}q2)} returns combines priority queues \\spad{q1} and \\spad{q2} to return a single priority queue \\spad{q}.")) (|max| ((|#1| $) "\\spad{max(q)} returns the maximum element of priority queue \\spad{q}."))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-910 R |polR|) ((|constructor| (NIL "This package contains some functions: \\axiomOpFrom{discriminant}{PseudoRemainderSequence},{} \\axiomOpFrom{resultant}{PseudoRemainderSequence},{} \\axiomOpFrom{subResultantGcd}{PseudoRemainderSequence},{} \\axiomOpFrom{chainSubResultants}{PseudoRemainderSequence},{} \\axiomOpFrom{degreeSubResultant}{PseudoRemainderSequence},{} \\axiomOpFrom{lastSubResultant}{PseudoRemainderSequence},{} \\axiomOpFrom{resultantEuclidean}{PseudoRemainderSequence},{} \\axiomOpFrom{subResultantGcdEuclidean}{PseudoRemainderSequence},{} \\axiomOpFrom{semiSubResultantGcdEuclidean1}{PseudoRemainderSequence},{} \\axiomOpFrom{semiSubResultantGcdEuclidean2}{PseudoRemainderSequence},{} etc. This procedures are coming from improvements of the subresultants algorithm. \\indented{2}{Version : 7} \\indented{2}{References : Lionel Ducos \"Optimizations of the subresultant algorithm\"} \\indented{2}{to appear in the Journal of Pure and Applied Algebra.} \\indented{2}{Author : Ducos Lionel \\axiom{Lionel.Ducos@mathlabo.univ-poitiers.\\spad{fr}}}")) (|semiResultantEuclideannaif| (((|Record| (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the semi-extended resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|resultantEuclideannaif| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the extended resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|resultantnaif| ((|#1| |#2| |#2|) "\\axiom{resultantEuclidean_naif(\\spad{P},{}\\spad{Q})} returns the resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}} computed by means of the naive algorithm.")) (|nextsousResultant2| ((|#2| |#2| |#2| |#2| |#1|) "\\axiom{nextsousResultant2(\\spad{P},{} \\spad{Q},{} \\spad{Z},{} \\spad{s})} returns the subresultant \\axiom{\\spad{S_}{\\spad{e}-1}} where \\axiom{\\spad{P} ~ \\spad{S_d},{} \\spad{Q} = \\spad{S_}{\\spad{d}-1},{} \\spad{Z} = S_e,{} \\spad{s} = \\spad{lc}(\\spad{S_d})}")) (|Lazard2| ((|#2| |#2| |#1| |#1| (|NonNegativeInteger|)) "\\axiom{Lazard2(\\spad{F},{} \\spad{x},{} \\spad{y},{} \\spad{n})} computes \\axiom{(x/y)\\spad{**}(\\spad{n}-1) * \\spad{F}}")) (|Lazard| ((|#1| |#1| |#1| (|NonNegativeInteger|)) "\\axiom{Lazard(\\spad{x},{} \\spad{y},{} \\spad{n})} computes \\axiom{x**n/y**(\\spad{n}-1)}")) (|divide| (((|Record| (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2|) "\\axiom{divide(\\spad{F},{}\\spad{G})} computes quotient and rest of the exact euclidean division of \\axiom{\\spad{F}} by \\axiom{\\spad{G}}.")) (|pseudoDivide| (((|Record| (|:| |coef| |#1|) (|:| |quotient| |#2|) (|:| |remainder| |#2|)) |#2| |#2|) "\\axiom{pseudoDivide(\\spad{P},{}\\spad{Q})} computes the pseudoDivide of \\axiom{\\spad{P}} by \\axiom{\\spad{Q}}.")) (|exquo| (((|Vector| |#2|) (|Vector| |#2|) |#1|) "\\axiom{\\spad{v} exquo \\spad{r}} computes the exact quotient of \\axiom{\\spad{v}} by \\axiom{\\spad{r}}")) (* (((|Vector| |#2|) |#1| (|Vector| |#2|)) "\\axiom{\\spad{r} * \\spad{v}} computes the product of \\axiom{\\spad{r}} and \\axiom{\\spad{v}}")) (|gcd| ((|#2| |#2| |#2|) "\\axiom{\\spad{gcd}(\\spad{P},{} \\spad{Q})} returns the \\spad{gcd} of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiResultantReduitEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |resultantReduit| |#1|)) |#2| |#2|) "\\axiom{semiResultantReduitEuclidean(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" and carries out the equality \\axiom{...\\spad{P} + coef2*Q = resultantReduit(\\spad{P},{}\\spad{Q})}.")) (|resultantReduitEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultantReduit| |#1|)) |#2| |#2|) "\\axiom{resultantReduitEuclidean(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" and carries out the equality \\axiom{coef1*P + coef2*Q = resultantReduit(\\spad{P},{}\\spad{Q})}.")) (|resultantReduit| ((|#1| |#2| |#2|) "\\axiom{resultantReduit(\\spad{P},{}\\spad{Q})} returns the \"reduce resultant\" of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|schema| (((|List| (|NonNegativeInteger|)) |#2| |#2|) "\\axiom{schema(\\spad{P},{}\\spad{Q})} returns the list of degrees of non zero subresultants of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|chainSubResultants| (((|List| |#2|) |#2| |#2|) "\\axiom{chainSubResultants(\\spad{P},{} \\spad{Q})} computes the list of non zero subresultants of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiDiscriminantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |discriminant| |#1|)) |#2|) "\\axiom{discriminantEuclidean(\\spad{P})} carries out the equality \\axiom{...\\spad{P} + coef2 * \\spad{D}(\\spad{P}) = discriminant(\\spad{P})}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|discriminantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |discriminant| |#1|)) |#2|) "\\axiom{discriminantEuclidean(\\spad{P})} carries out the equality \\axiom{coef1 * \\spad{P} + coef2 * \\spad{D}(\\spad{P}) = discriminant(\\spad{P})}.")) (|discriminant| ((|#1| |#2|) "\\axiom{discriminant(\\spad{P},{} \\spad{Q})} returns the discriminant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiSubResultantGcdEuclidean1| (((|Record| (|:| |coef1| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{semiSubResultantGcdEuclidean1(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + ? \\spad{Q} = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible.")) (|semiSubResultantGcdEuclidean2| (((|Record| (|:| |coef2| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{semiSubResultantGcdEuclidean2(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{...\\spad{P} + coef2*Q = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|subResultantGcdEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |gcd| |#2|)) |#2| |#2|) "\\axiom{subResultantGcdEuclidean(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + coef2*Q = \\spad{+/-} S_i(\\spad{P},{}\\spad{Q})} where the degree (not the indice) of the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} is the smaller as possible.")) (|subResultantGcd| ((|#2| |#2| |#2|) "\\axiom{subResultantGcd(\\spad{P},{} \\spad{Q})} returns the \\spad{gcd} of two primitive polynomials \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}.")) (|semiLastSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2|) "\\axiom{semiLastSubResultantEuclidean(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant \\axiom{\\spad{S}} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = \\spad{S}}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|lastSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2|) "\\axiom{lastSubResultantEuclidean(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant \\axiom{\\spad{S}} and carries out the equality \\axiom{coef1*P + coef2*Q = \\spad{S}}.")) (|lastSubResultant| ((|#2| |#2| |#2|) "\\axiom{lastSubResultant(\\spad{P},{} \\spad{Q})} computes the last non zero subresultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}")) (|semiDegreeSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns a subresultant \\axiom{\\spad{S}} of degree \\axiom{\\spad{d}} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = S_i}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|degreeSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns a subresultant \\axiom{\\spad{S}} of degree \\axiom{\\spad{d}} and carries out the equality \\axiom{coef1*P + coef2*Q = S_i}.")) (|degreeSubResultant| ((|#2| |#2| |#2| (|NonNegativeInteger|)) "\\axiom{degreeSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{d})} computes a subresultant of degree \\axiom{\\spad{d}}.")) (|semiIndiceSubResultantEuclidean| (((|Record| (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{semiIndiceSubResultantEuclidean(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} and carries out the equality \\axiom{...\\spad{P} + coef2*Q = S_i(\\spad{P},{}\\spad{Q})} Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|indiceSubResultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |subResultant| |#2|)) |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant \\axiom{S_i(\\spad{P},{}\\spad{Q})} and carries out the equality \\axiom{coef1*P + coef2*Q = S_i(\\spad{P},{}\\spad{Q})}")) (|indiceSubResultant| ((|#2| |#2| |#2| (|NonNegativeInteger|)) "\\axiom{indiceSubResultant(\\spad{P},{} \\spad{Q},{} \\spad{i})} returns the subresultant of indice \\axiom{\\spad{i}}")) (|semiResultantEuclidean1| (((|Record| (|:| |coef1| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{semiResultantEuclidean1(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1.\\spad{P} + ? \\spad{Q} = resultant(\\spad{P},{}\\spad{Q})}.")) (|semiResultantEuclidean2| (((|Record| (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{semiResultantEuclidean2(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{...\\spad{P} + coef2*Q = resultant(\\spad{P},{}\\spad{Q})}. Warning: \\axiom{degree(\\spad{P}) \\spad{>=} degree(\\spad{Q})}.")) (|resultantEuclidean| (((|Record| (|:| |coef1| |#2|) (|:| |coef2| |#2|) (|:| |resultant| |#1|)) |#2| |#2|) "\\axiom{resultantEuclidean(\\spad{P},{}\\spad{Q})} carries out the equality \\axiom{coef1*P + coef2*Q = resultant(\\spad{P},{}\\spad{Q})}")) (|resultant| ((|#1| |#2| |#2|) "\\axiom{resultant(\\spad{P},{} \\spad{Q})} returns the resultant of \\axiom{\\spad{P}} and \\axiom{\\spad{Q}}"))) @@ -3594,7 +3594,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-522)))) (-916 R E |VarSet| P) ((|constructor| (NIL "A category for finite subsets of a polynomial ring. Such a set is only regarded as a set of polynomials and not identified to the ideal it generates. So two distinct sets may generate the same the ideal. Furthermore,{} for \\spad{R} being an integral domain,{} a set of polynomials may be viewed as a representation of the ideal it generates in the polynomial ring \\spad{(R)^(-1) P},{} or the set of its zeros (described for instance by the radical of the previous ideal,{} or a split of the associated affine variety) and so on. So this category provides operations about those different notions.")) (|triangular?| (((|Boolean|) $) "\\axiom{triangular?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} is a triangular set,{} \\spadignore{i.e.} two distinct polynomials have distinct main variables and no constant lies in \\axiom{\\spad{ps}}.")) (|rewriteIdealWithRemainder| (((|List| |#4|) (|List| |#4|) $) "\\axiom{rewriteIdealWithRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that every polynomial in \\axiom{\\spad{lr}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|rewriteIdealWithHeadRemainder| (((|List| |#4|) (|List| |#4|) $) "\\axiom{rewriteIdealWithHeadRemainder(\\spad{lp},{}\\spad{cs})} returns \\axiom{\\spad{lr}} such that the leading monomial of every polynomial in \\axiom{\\spad{lr}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{cs}} and \\axiom{(\\spad{lp},{}\\spad{cs})} and \\axiom{(\\spad{lr},{}\\spad{cs})} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}.")) (|remainder| (((|Record| (|:| |rnum| |#1|) (|:| |polnum| |#4|) (|:| |den| |#1|)) |#4| $) "\\axiom{remainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{c},{}\\spad{b},{}\\spad{r}]} such that \\axiom{\\spad{b}} is fully reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}},{} \\axiom{r*a - \\spad{c*b}} lies in the ideal generated by \\axiom{\\spad{ps}}. Furthermore,{} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} \\axiom{\\spad{b}} is primitive.")) (|headRemainder| (((|Record| (|:| |num| |#4|) (|:| |den| |#1|)) |#4| $) "\\axiom{headRemainder(a,{}\\spad{ps})} returns \\axiom{[\\spad{b},{}\\spad{r}]} such that the leading monomial of \\axiom{\\spad{b}} is reduced in the sense of Groebner bases \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ps}} and \\axiom{r*a - \\spad{b}} lies in the ideal generated by \\axiom{\\spad{ps}}.")) (|roughUnitIdeal?| (((|Boolean|) $) "\\axiom{roughUnitIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} contains some non null element lying in the base ring \\axiom{\\spad{R}}.")) (|roughEqualIdeals?| (((|Boolean|) $ $) "\\axiom{roughEqualIdeals?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that \\axiom{\\spad{ps1}} and \\axiom{\\spad{ps2}} generate the same ideal in \\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}} without computing Groebner bases.")) (|roughSubIdeal?| (((|Boolean|) $ $) "\\axiom{roughSubIdeal?(\\spad{ps1},{}\\spad{ps2})} returns \\spad{true} iff it can proved that all polynomials in \\axiom{\\spad{ps1}} lie in the ideal generated by \\axiom{\\spad{ps2}} in \\axiom{\\axiom{(\\spad{R})^(\\spad{-1}) \\spad{P}}} without computing Groebner bases.")) (|roughBase?| (((|Boolean|) $) "\\axiom{roughBase?(\\spad{ps})} returns \\spad{true} iff for every pair \\axiom{{\\spad{p},{}\\spad{q}}} of polynomials in \\axiom{\\spad{ps}} their leading monomials are relatively prime.")) (|trivialIdeal?| (((|Boolean|) $) "\\axiom{trivialIdeal?(\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{ps}} does not contain non-zero elements.")) (|sort| (((|Record| (|:| |under| $) (|:| |floor| $) (|:| |upper| $)) $ |#3|) "\\axiom{sort(\\spad{v},{}\\spad{ps})} returns \\axiom{us,{}\\spad{vs},{}\\spad{ws}} such that \\axiom{us} is \\axiom{collectUnder(\\spad{ps},{}\\spad{v})},{} \\axiom{\\spad{vs}} is \\axiom{collect(\\spad{ps},{}\\spad{v})} and \\axiom{\\spad{ws}} is \\axiom{collectUpper(\\spad{ps},{}\\spad{v})}.")) (|collectUpper| (($ $ |#3|) "\\axiom{collectUpper(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable greater than \\axiom{\\spad{v}}.")) (|collect| (($ $ |#3|) "\\axiom{collect(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with \\axiom{\\spad{v}} as main variable.")) (|collectUnder| (($ $ |#3|) "\\axiom{collectUnder(\\spad{ps},{}\\spad{v})} returns the set consisting of the polynomials of \\axiom{\\spad{ps}} with main variable less than \\axiom{\\spad{v}}.")) (|mainVariable?| (((|Boolean|) |#3| $) "\\axiom{mainVariable?(\\spad{v},{}\\spad{ps})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ps}}.")) (|mainVariables| (((|List| |#3|) $) "\\axiom{mainVariables(\\spad{ps})} returns the decreasingly sorted list of the variables which are main variables of some polynomial in \\axiom{\\spad{ps}}.")) (|variables| (((|List| |#3|) $) "\\axiom{variables(\\spad{ps})} returns the decreasingly sorted list of the variables which are variables of some polynomial in \\axiom{\\spad{ps}}.")) (|mvar| ((|#3| $) "\\axiom{mvar(\\spad{ps})} returns the main variable of the non constant polynomial with the greatest main variable,{} if any,{} else an error is returned.")) (|retract| (($ (|List| |#4|)) "\\axiom{retract(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|List| |#4|)) "\\axiom{retractIfCan(\\spad{lp})} returns an element of the domain whose elements are the members of \\axiom{\\spad{lp}} if such an element exists,{} otherwise \\axiom{\"failed\"} is returned."))) -((-4270 . T) (-4103 . T)) +((-4270 . T) (-4102 . T)) NIL (-917 R E V P) ((|constructor| (NIL "This package provides modest routines for polynomial system solving. The aim of many of the operations of this package is to remove certain factors in some polynomials in order to avoid unnecessary computations in algorithms involving splitting techniques by partial factorization.")) (|removeIrreducibleRedundantFactors| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeIrreducibleRedundantFactors(\\spad{lp},{}\\spad{lq})} returns the same as \\axiom{irreducibleFactors(concat(\\spad{lp},{}\\spad{lq}))} assuming that \\axiom{irreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.")) (|lazyIrreducibleFactors| (((|List| |#4|) (|List| |#4|)) "\\axiom{lazyIrreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lf}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lf} = [\\spad{f1},{}...,{}\\spad{fm}]} then \\axiom{p1*p2*...*pn=0} means \\axiom{f1*f2*...*fm=0},{} and the \\axiom{\\spad{fi}} are irreducible over \\axiom{\\spad{R}} and are pairwise distinct. The algorithm tries to avoid factorization into irreducible factors as far as possible and makes previously use of \\spad{gcd} techniques over \\axiom{\\spad{R}}.")) (|irreducibleFactors| (((|List| |#4|) (|List| |#4|)) "\\axiom{irreducibleFactors(\\spad{lp})} returns \\axiom{\\spad{lf}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lf} = [\\spad{f1},{}...,{}\\spad{fm}]} then \\axiom{p1*p2*...*pn=0} means \\axiom{f1*f2*...*fm=0},{} and the \\axiom{\\spad{fi}} are irreducible over \\axiom{\\spad{R}} and are pairwise distinct.")) (|removeRedundantFactorsInPols| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp} where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in every polynomial \\axiom{\\spad{p}} of \\axiom{\\spad{lp}} any non trivial factor of any polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in every polynomial \\axiom{\\spad{lp}}.")) (|removeRedundantFactorsInContents| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactorsInContents(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp} where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in the content of every polynomial of \\axiom{\\spad{lp}} any non trivial factor of any polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in the content of every polynomial of \\axiom{\\spad{lp}}.")) (|removeRoughlyRedundantFactorsInContents| (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInContents(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp}where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in the content of every polynomial of \\axiom{\\spad{lp}} any occurence of a polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. Moreover,{} squares over \\axiom{\\spad{R}} are first removed in the content of every polynomial of \\axiom{\\spad{lp}}.")) (|univariatePolynomialsGcds| (((|List| |#4|) (|List| |#4|) (|Boolean|)) "\\axiom{univariatePolynomialsGcds(\\spad{lp},{}opt)} returns the same as \\axiom{univariatePolynomialsGcds(\\spad{lp})} if \\axiom{opt} is \\axiom{\\spad{false}} and if the previous operation does not return any non null and constant polynomial,{} else return \\axiom{[1]}.") (((|List| |#4|) (|List| |#4|)) "\\axiom{univariatePolynomialsGcds(\\spad{lp})} returns \\axiom{\\spad{lg}} where \\axiom{\\spad{lg}} is a list of the gcds of every pair in \\axiom{\\spad{lp}} of univariate polynomials in the same main variable.")) (|squareFreeFactors| (((|List| |#4|) |#4|) "\\axiom{squareFreeFactors(\\spad{p})} returns the square-free factors of \\axiom{\\spad{p}} over \\axiom{\\spad{R}}")) (|rewriteIdealWithQuasiMonicGenerators| (((|List| |#4|) (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{rewriteIdealWithQuasiMonicGenerators(\\spad{lp},{}redOp?,{}redOp)} returns \\axiom{\\spad{lq}} where \\axiom{\\spad{lq}} and \\axiom{\\spad{lp}} generate the same ideal in \\axiom{\\spad{R^}(\\spad{-1}) \\spad{P}} and \\axiom{\\spad{lq}} has rank not higher than the one of \\axiom{\\spad{lp}}. Moreover,{} \\axiom{\\spad{lq}} is computed by reducing \\axiom{\\spad{lp}} \\spad{w}.\\spad{r}.\\spad{t}. some basic set of the ideal generated by the quasi-monic polynomials in \\axiom{\\spad{lp}}.")) (|rewriteSetByReducingWithParticularGenerators| (((|List| |#4|) (|List| |#4|) (|Mapping| (|Boolean|) |#4|) (|Mapping| (|Boolean|) |#4| |#4|) (|Mapping| |#4| |#4| |#4|)) "\\axiom{rewriteSetByReducingWithParticularGenerators(\\spad{lp},{}pred?,{}redOp?,{}redOp)} returns \\axiom{\\spad{lq}} where \\axiom{\\spad{lq}} is computed by the following algorithm. Chose a basic set \\spad{w}.\\spad{r}.\\spad{t}. the reduction-test \\axiom{redOp?} among the polynomials satisfying property \\axiom{pred?},{} if it is empty then leave,{} else reduce the other polynomials by this basic set \\spad{w}.\\spad{r}.\\spad{t}. the reduction-operation \\axiom{redOp}. Repeat while another basic set with smaller rank can be computed. See code. If \\axiom{pred?} is \\axiom{quasiMonic?} the ideal is unchanged.")) (|crushedSet| (((|List| |#4|) (|List| |#4|)) "\\axiom{crushedSet(\\spad{lp})} returns \\axiom{\\spad{lq}} such that \\axiom{\\spad{lp}} and and \\axiom{\\spad{lq}} generate the same ideal and no rough basic sets reduce (in the sense of Groebner bases) the other polynomials in \\axiom{\\spad{lq}}.")) (|roughBasicSet| (((|Union| (|Record| (|:| |bas| (|GeneralTriangularSet| |#1| |#2| |#3| |#4|)) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|)) "\\axiom{roughBasicSet(\\spad{lp})} returns the smallest (with Ritt-Wu ordering) triangular set contained in \\axiom{\\spad{lp}}.")) (|interReduce| (((|List| |#4|) (|List| |#4|)) "\\axiom{interReduce(\\spad{lp})} returns \\axiom{\\spad{lq}} such that \\axiom{\\spad{lp}} and \\axiom{\\spad{lq}} generate the same ideal and no polynomial in \\axiom{\\spad{lq}} is reducuble by the others in the sense of Groebner bases. Since no assumptions are required the result may depend on the ordering the reductions are performed.")) (|removeRoughlyRedundantFactorsInPol| ((|#4| |#4| (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInPol(\\spad{p},{}\\spad{lf})} returns the same as removeRoughlyRedundantFactorsInPols([\\spad{p}],{}\\spad{lf},{}\\spad{true})")) (|removeRoughlyRedundantFactorsInPols| (((|List| |#4|) (|List| |#4|) (|List| |#4|) (|Boolean|)) "\\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf},{}opt)} returns the same as \\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} if \\axiom{opt} is \\axiom{\\spad{false}} and if the previous operation does not return any non null and constant polynomial,{} else return \\axiom{[1]}.") (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lf})} returns \\axiom{newlp}where \\axiom{newlp} is obtained from \\axiom{\\spad{lp}} by removing in every polynomial \\axiom{\\spad{p}} of \\axiom{\\spad{lp}} any occurence of a polynomial \\axiom{\\spad{f}} in \\axiom{\\spad{lf}}. This may involve a lot of exact-quotients computations.")) (|bivariatePolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{bivariatePolynomials(\\spad{lp})} returns \\axiom{\\spad{bps},{}nbps} where \\axiom{\\spad{bps}} is a list of the bivariate polynomials,{} and \\axiom{nbps} are the other ones.")) (|bivariate?| (((|Boolean|) |#4|) "\\axiom{bivariate?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} involves two and only two variables.")) (|linearPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{linearPolynomials(\\spad{lp})} returns \\axiom{\\spad{lps},{}nlps} where \\axiom{\\spad{lps}} is a list of the linear polynomials in \\spad{lp},{} and \\axiom{nlps} are the other ones.")) (|linear?| (((|Boolean|) |#4|) "\\axiom{linear?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} does not lie in the base ring \\axiom{\\spad{R}} and has main degree \\axiom{1}.")) (|univariatePolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{univariatePolynomials(\\spad{lp})} returns \\axiom{ups,{}nups} where \\axiom{ups} is a list of the univariate polynomials,{} and \\axiom{nups} are the other ones.")) (|univariate?| (((|Boolean|) |#4|) "\\axiom{univariate?(\\spad{p})} returns \\spad{true} iff \\axiom{\\spad{p}} involves one and only one variable.")) (|quasiMonicPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| |#4|)) "\\axiom{quasiMonicPolynomials(\\spad{lp})} returns \\axiom{qmps,{}nqmps} where \\axiom{qmps} is a list of the quasi-monic polynomials in \\axiom{\\spad{lp}} and \\axiom{nqmps} are the other ones.")) (|selectAndPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| (|Mapping| (|Boolean|) |#4|)) (|List| |#4|)) "\\axiom{selectAndPolynomials(lpred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds for every \\axiom{pred?} in \\axiom{lpred?} and \\axiom{\\spad{bps}} are the other ones.")) (|selectOrPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|List| (|Mapping| (|Boolean|) |#4|)) (|List| |#4|)) "\\axiom{selectOrPolynomials(lpred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds for some \\axiom{pred?} in \\axiom{lpred?} and \\axiom{\\spad{bps}} are the other ones.")) (|selectPolynomials| (((|Record| (|:| |goodPols| (|List| |#4|)) (|:| |badPols| (|List| |#4|))) (|Mapping| (|Boolean|) |#4|) (|List| |#4|)) "\\axiom{selectPolynomials(pred?,{}\\spad{ps})} returns \\axiom{\\spad{gps},{}\\spad{bps}} where \\axiom{\\spad{gps}} is a list of the polynomial \\axiom{\\spad{p}} in \\axiom{\\spad{ps}} such that \\axiom{pred?(\\spad{p})} holds and \\axiom{\\spad{bps}} are the other ones.")) (|probablyZeroDim?| (((|Boolean|) (|List| |#4|)) "\\axiom{probablyZeroDim?(\\spad{lp})} returns \\spad{true} iff the number of polynomials in \\axiom{\\spad{lp}} is not smaller than the number of variables occurring in these polynomials.")) (|possiblyNewVariety?| (((|Boolean|) (|List| |#4|) (|List| (|List| |#4|))) "\\axiom{possiblyNewVariety?(newlp,{}\\spad{llp})} returns \\spad{true} iff for every \\axiom{\\spad{lp}} in \\axiom{\\spad{llp}} certainlySubVariety?(newlp,{}\\spad{lp}) does not hold.")) (|certainlySubVariety?| (((|Boolean|) (|List| |#4|) (|List| |#4|)) "\\axiom{certainlySubVariety?(newlp,{}\\spad{lp})} returns \\spad{true} iff for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}} the remainder of \\axiom{\\spad{p}} by \\axiom{newlp} using the division algorithm of Groebner techniques is zero.")) (|unprotectedRemoveRedundantFactors| (((|List| |#4|) |#4| |#4|) "\\axiom{unprotectedRemoveRedundantFactors(\\spad{p},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors(\\spad{p},{}\\spad{q})} but does assume that neither \\axiom{\\spad{p}} nor \\axiom{\\spad{q}} lie in the base ring \\axiom{\\spad{R}} and assumes that \\axiom{infRittWu?(\\spad{p},{}\\spad{q})} holds. Moreover,{} if \\axiom{\\spad{R}} is \\spad{gcd}-domain,{} then \\axiom{\\spad{p}} and \\axiom{\\spad{q}} are assumed to be square free.")) (|removeSquaresIfCan| (((|List| |#4|) (|List| |#4|)) "\\axiom{removeSquaresIfCan(\\spad{lp})} returns \\axiom{removeDuplicates [squareFreePart(\\spad{p})\\$\\spad{P} for \\spad{p} in \\spad{lp}]} if \\axiom{\\spad{R}} is \\spad{gcd}-domain else returns \\axiom{\\spad{lp}}.")) (|removeRedundantFactors| (((|List| |#4|) (|List| |#4|) (|List| |#4|) (|Mapping| (|List| |#4|) (|List| |#4|))) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{lq},{}remOp)} returns the same as \\axiom{concat(remOp(removeRoughlyRedundantFactorsInPols(\\spad{lp},{}\\spad{lq})),{}\\spad{lq})} assuming that \\axiom{remOp(\\spad{lq})} returns \\axiom{\\spad{lq}} up to similarity.") (((|List| |#4|) (|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{lq})} returns the same as \\axiom{removeRedundantFactors(concat(\\spad{lp},{}\\spad{lq}))} assuming that \\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.") (((|List| |#4|) (|List| |#4|) |#4|) "\\axiom{removeRedundantFactors(\\spad{lp},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors(cons(\\spad{q},{}\\spad{lp}))} assuming that \\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lp}} up to replacing some polynomial \\axiom{\\spad{pj}} in \\axiom{\\spad{lp}} by some some polynomial \\axiom{\\spad{qj}} associated to \\axiom{\\spad{pj}}.") (((|List| |#4|) |#4| |#4|) "\\axiom{removeRedundantFactors(\\spad{p},{}\\spad{q})} returns the same as \\axiom{removeRedundantFactors([\\spad{p},{}\\spad{q}])}") (((|List| |#4|) (|List| |#4|)) "\\axiom{removeRedundantFactors(\\spad{lp})} returns \\axiom{\\spad{lq}} such that if \\axiom{\\spad{lp} = [\\spad{p1},{}...,{}\\spad{pn}]} and \\axiom{\\spad{lq} = [\\spad{q1},{}...,{}\\spad{qm}]} then the product \\axiom{p1*p2*...\\spad{*pn}} vanishes iff the product \\axiom{q1*q2*...\\spad{*qm}} vanishes,{} and the product of degrees of the \\axiom{\\spad{qi}} is not greater than the one of the \\axiom{\\spad{pj}},{} and no polynomial in \\axiom{\\spad{lq}} divides another polynomial in \\axiom{\\spad{lq}}. In particular,{} polynomials lying in the base ring \\axiom{\\spad{R}} are removed. Moreover,{} \\axiom{\\spad{lq}} is sorted \\spad{w}.\\spad{r}.\\spad{t} \\axiom{infRittWu?}. Furthermore,{} if \\spad{R} is \\spad{gcd}-domain,{} the polynomials in \\axiom{\\spad{lq}} are pairwise without common non trivial factor."))) @@ -3610,7 +3610,7 @@ NIL NIL (-920 R) ((|constructor| (NIL "PointCategory is the category of points in space which may be plotted via the graphics facilities. Functions are provided for defining points and handling elements of points.")) (|extend| (($ $ (|List| |#1|)) "\\spad{extend(x,{}l,{}r)} \\undocumented")) (|cross| (($ $ $) "\\spad{cross(p,{}q)} computes the cross product of the two points \\spad{p} and \\spad{q}. Error if the \\spad{p} and \\spad{q} are not 3 dimensional")) (|convert| (($ (|List| |#1|)) "\\spad{convert(l)} takes a list of elements,{} \\spad{l},{} from the domain Ring and returns the form of point category.")) (|dimension| (((|PositiveInteger|) $) "\\spad{dimension(s)} returns the dimension of the point category \\spad{s}.")) (|point| (($ (|List| |#1|)) "\\spad{point(l)} returns a point category defined by a list \\spad{l} of elements from the domain \\spad{R}."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-921 R1 R2) ((|constructor| (NIL "This package \\undocumented")) (|map| (((|Point| |#2|) (|Mapping| |#2| |#1|) (|Point| |#1|)) "\\spad{map(f,{}p)} \\undocumented"))) @@ -3658,7 +3658,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-850))) (|HasCategory| |#2| (QUOTE (-515))) (|HasCategory| |#2| (QUOTE (-289))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-1099)))) (|HasCategory| |#2| (QUOTE (-138))) (|HasCategory| |#2| (QUOTE (-140))) (|HasCategory| |#2| (LIST (QUOTE -572) (QUOTE (-506)))) (|HasCategory| |#2| (QUOTE (-960))) (|HasCategory| |#2| (QUOTE (-768))) (|HasCategory| |#2| (QUOTE (-795))) (|HasCategory| |#2| (LIST (QUOTE -975) (QUOTE (-530)))) (|HasCategory| |#2| (QUOTE (-1075)))) (-932 S) ((|constructor| (NIL "QuotientField(\\spad{S}) is the category of fractions of an Integral Domain \\spad{S}.")) (|floor| ((|#1| $) "\\spad{floor(x)} returns the largest integral element below \\spad{x}.")) (|ceiling| ((|#1| $) "\\spad{ceiling(x)} returns the smallest integral element above \\spad{x}.")) (|random| (($) "\\spad{random()} returns a random fraction.")) (|fractionPart| (($ $) "\\spad{fractionPart(x)} returns the fractional part of \\spad{x}. \\spad{x} = wholePart(\\spad{x}) + fractionPart(\\spad{x})")) (|wholePart| ((|#1| $) "\\spad{wholePart(x)} returns the whole part of the fraction \\spad{x} \\spadignore{i.e.} the truncated quotient of the numerator by the denominator.")) (|denominator| (($ $) "\\spad{denominator(x)} is the denominator of the fraction \\spad{x} converted to \\%.")) (|numerator| (($ $) "\\spad{numerator(x)} is the numerator of the fraction \\spad{x} converted to \\%.")) (|denom| ((|#1| $) "\\spad{denom(x)} returns the denominator of the fraction \\spad{x}.")) (|numer| ((|#1| $) "\\spad{numer(x)} returns the numerator of the fraction \\spad{x}.")) (/ (($ |#1| |#1|) "\\spad{d1 / d2} returns the fraction \\spad{d1} divided by \\spad{d2}."))) -((-4103 . T) (-4262 . T) (-4268 . T) (-4263 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) +((-4102 . T) (-4262 . T) (-4268 . T) (-4263 . T) ((-4272 "*") . T) (-4264 . T) (-4265 . T) (-4267 . T)) NIL (-933 |n| K) ((|constructor| (NIL "This domain provides modest support for quadratic forms.")) (|elt| ((|#2| $ (|DirectProduct| |#1| |#2|)) "\\spad{elt(qf,{}v)} evaluates the quadratic form \\spad{qf} on the vector \\spad{v},{} producing a scalar.")) (|matrix| (((|SquareMatrix| |#1| |#2|) $) "\\spad{matrix(qf)} creates a square matrix from the quadratic form \\spad{qf}.")) (|quadraticForm| (($ (|SquareMatrix| |#1| |#2|)) "\\spad{quadraticForm(m)} creates a quadratic form from a symmetric,{} square matrix \\spad{m}."))) @@ -3666,7 +3666,7 @@ NIL NIL (-934 S) ((|constructor| (NIL "A queue is a bag where the first item inserted is the first item extracted.")) (|back| ((|#1| $) "\\spad{back(q)} returns the element at the back of the queue. The queue \\spad{q} is unchanged by this operation. Error: if \\spad{q} is empty.")) (|front| ((|#1| $) "\\spad{front(q)} returns the element at the front of the queue. The queue \\spad{q} is unchanged by this operation. Error: if \\spad{q} is empty.")) (|length| (((|NonNegativeInteger|) $) "\\spad{length(q)} returns the number of elements in the queue. Note: \\axiom{length(\\spad{q}) = \\spad{#q}}.")) (|rotate!| (($ $) "\\spad{rotate! q} rotates queue \\spad{q} so that the element at the front of the queue goes to the back of the queue. Note: rotate! \\spad{q} is equivalent to enqueue!(dequeue!(\\spad{q})).")) (|dequeue!| ((|#1| $) "\\spad{dequeue! s} destructively extracts the first (top) element from queue \\spad{q}. The element previously second in the queue becomes the first element. Error: if \\spad{q} is empty.")) (|enqueue!| ((|#1| |#1| $) "\\spad{enqueue!(x,{}q)} inserts \\spad{x} into the queue \\spad{q} at the back end."))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-935 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}."))) @@ -3726,7 +3726,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4271)) (|HasCategory| |#2| (QUOTE (-1027)))) (-949 S) ((|constructor| (NIL "A recursive aggregate over a type \\spad{S} is a model for a a directed graph containing values of type \\spad{S}. Recursively,{} a recursive aggregate is a {\\em node} consisting of a \\spadfun{value} from \\spad{S} and 0 or more \\spadfun{children} which are recursive aggregates. A node with no children is called a \\spadfun{leaf} node. A recursive aggregate may be cyclic for which some operations as noted may go into an infinite loop.")) (|setvalue!| ((|#1| $ |#1|) "\\spad{setvalue!(u,{}x)} sets the value of node \\spad{u} to \\spad{x}.")) (|setelt| ((|#1| $ "value" |#1|) "\\spad{setelt(a,{}\"value\",{}x)} (also written \\axiom{a . value \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setvalue!(a,{}\\spad{x})}")) (|setchildren!| (($ $ (|List| $)) "\\spad{setchildren!(u,{}v)} replaces the current children of node \\spad{u} with the members of \\spad{v} in left-to-right order.")) (|node?| (((|Boolean|) $ $) "\\spad{node?(u,{}v)} tests if node \\spad{u} is contained in node \\spad{v} (either as a child,{} a child of a child,{} etc.).")) (|child?| (((|Boolean|) $ $) "\\spad{child?(u,{}v)} tests if node \\spad{u} is a child of node \\spad{v}.")) (|distance| (((|Integer|) $ $) "\\spad{distance(u,{}v)} returns the path length (an integer) from node \\spad{u} to \\spad{v}.")) (|leaves| (((|List| |#1|) $) "\\spad{leaves(t)} returns the list of values in obtained by visiting the nodes of tree \\axiom{\\spad{t}} in left-to-right order.")) (|cyclic?| (((|Boolean|) $) "\\spad{cyclic?(u)} tests if \\spad{u} has a cycle.")) (|elt| ((|#1| $ "value") "\\spad{elt(u,{}\"value\")} (also written: \\axiom{a. value}) is equivalent to \\axiom{value(a)}.")) (|value| ((|#1| $) "\\spad{value(u)} returns the value of the node \\spad{u}.")) (|leaf?| (((|Boolean|) $) "\\spad{leaf?(u)} tests if \\spad{u} is a terminal node.")) (|nodes| (((|List| $) $) "\\spad{nodes(u)} returns a list of all of the nodes of aggregate \\spad{u}.")) (|children| (((|List| $) $) "\\spad{children(u)} returns a list of the children of aggregate \\spad{u}."))) -((-4103 . T)) +((-4102 . T)) NIL (-950 S) ((|constructor| (NIL "\\axiomType{RealClosedField} provides common acces functions for all real closed fields.")) (|approximate| (((|Fraction| (|Integer|)) $ $) "\\axiom{approximate(\\spad{n},{}\\spad{p})} gives an approximation of \\axiom{\\spad{n}} that has precision \\axiom{\\spad{p}}")) (|rename| (($ $ (|OutputForm|)) "\\axiom{rename(\\spad{x},{}name)} gives a new number that prints as name")) (|rename!| (($ $ (|OutputForm|)) "\\axiom{rename!(\\spad{x},{}name)} changes the way \\axiom{\\spad{x}} is printed")) (|sqrt| (($ (|Integer|)) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ (|Fraction| (|Integer|))) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|PositiveInteger|)) "\\axiom{sqrt(\\spad{x},{}\\spad{n})} is \\axiom{\\spad{x} \\spad{**} (1/n)}")) (|allRootsOf| (((|List| $) (|Polynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|Polynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Integer|))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| (|Fraction| (|Integer|)))) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely") (((|List| $) (|SparseUnivariatePolynomial| $)) "\\axiom{allRootsOf(pol)} creates all the roots of \\axiom{pol} naming each uniquely")) (|rootOf| (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|)) "\\axiom{rootOf(pol,{}\\spad{n})} creates the \\spad{n}th root for the order of \\axiom{pol} and gives it unique name") (((|Union| $ "failed") (|SparseUnivariatePolynomial| $) (|PositiveInteger|) (|OutputForm|)) "\\axiom{rootOf(pol,{}\\spad{n},{}name)} creates the \\spad{n}th root for the order of \\axiom{pol} and names it \\axiom{name}")) (|mainValue| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainValue(\\spad{x})} is the expression of \\axiom{\\spad{x}} in terms of \\axiom{SparseUnivariatePolynomial(\\$)}")) (|mainDefiningPolynomial| (((|Union| (|SparseUnivariatePolynomial| $) "failed") $) "\\axiom{mainDefiningPolynomial(\\spad{x})} is the defining polynomial for the main algebraic quantity of \\axiom{\\spad{x}}")) (|mainForm| (((|Union| (|OutputForm|) "failed") $) "\\axiom{mainForm(\\spad{x})} is the main algebraic quantity name of \\axiom{\\spad{x}}"))) @@ -3878,7 +3878,7 @@ NIL ((|HasCategory| |#4| (QUOTE (-289))) (|HasCategory| |#4| (QUOTE (-344))) (|HasCategory| |#4| (QUOTE (-522))) (|HasCategory| |#4| (QUOTE (-162)))) (-987 |m| |n| R |Row| |Col|) ((|constructor| (NIL "\\spadtype{RectangularMatrixCategory} is a category of matrices of fixed dimensions. The dimensions of the matrix will be parameters of the domain. Domains in this category will be \\spad{R}-modules and will be non-mutable.")) (|nullSpace| (((|List| |#5|) $) "\\spad{nullSpace(m)}+ returns a basis for the null space of the matrix \\spad{m}.")) (|nullity| (((|NonNegativeInteger|) $) "\\spad{nullity(m)} returns the nullity of the matrix \\spad{m}. This is the dimension of the null space of the matrix \\spad{m}.")) (|rank| (((|NonNegativeInteger|) $) "\\spad{rank(m)} returns the rank of the matrix \\spad{m}.")) (|rowEchelon| (($ $) "\\spad{rowEchelon(m)} returns the row echelon form of the matrix \\spad{m}.")) (/ (($ $ |#3|) "\\spad{m/r} divides the elements of \\spad{m} by \\spad{r}. Error: if \\spad{r = 0}.")) (|exquo| (((|Union| $ "failed") $ |#3|) "\\spad{exquo(m,{}r)} computes the exact quotient of the elements of \\spad{m} by \\spad{r},{} returning \\axiom{\"failed\"} if this is not possible.")) (|map| (($ (|Mapping| |#3| |#3| |#3|) $ $) "\\spad{map(f,{}a,{}b)} returns \\spad{c},{} where \\spad{c} is such that \\spad{c(i,{}j) = f(a(i,{}j),{}b(i,{}j))} for all \\spad{i},{} \\spad{j}.") (($ (|Mapping| |#3| |#3|) $) "\\spad{map(f,{}a)} returns \\spad{b},{} where \\spad{b(i,{}j) = a(i,{}j)} for all \\spad{i},{} \\spad{j}.")) (|column| ((|#5| $ (|Integer|)) "\\spad{column(m,{}j)} returns the \\spad{j}th column of the matrix \\spad{m}. Error: if the index outside the proper range.")) (|row| ((|#4| $ (|Integer|)) "\\spad{row(m,{}i)} returns the \\spad{i}th row of the matrix \\spad{m}. Error: if the index is outside the proper range.")) (|qelt| ((|#3| $ (|Integer|) (|Integer|)) "\\spad{qelt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Note: there is NO error check to determine if indices are in the proper ranges.")) (|elt| ((|#3| $ (|Integer|) (|Integer|) |#3|) "\\spad{elt(m,{}i,{}j,{}r)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m},{} if \\spad{m} has an \\spad{i}th row and a \\spad{j}th column,{} and returns \\spad{r} otherwise.") ((|#3| $ (|Integer|) (|Integer|)) "\\spad{elt(m,{}i,{}j)} returns the element in the \\spad{i}th row and \\spad{j}th column of the matrix \\spad{m}. Error: if indices are outside the proper ranges.")) (|listOfLists| (((|List| (|List| |#3|)) $) "\\spad{listOfLists(m)} returns the rows of the matrix \\spad{m} as a list of lists.")) (|ncols| (((|NonNegativeInteger|) $) "\\spad{ncols(m)} returns the number of columns in the matrix \\spad{m}.")) (|nrows| (((|NonNegativeInteger|) $) "\\spad{nrows(m)} returns the number of rows in the matrix \\spad{m}.")) (|maxColIndex| (((|Integer|) $) "\\spad{maxColIndex(m)} returns the index of the 'last' column of the matrix \\spad{m}.")) (|minColIndex| (((|Integer|) $) "\\spad{minColIndex(m)} returns the index of the 'first' column of the matrix \\spad{m}.")) (|maxRowIndex| (((|Integer|) $) "\\spad{maxRowIndex(m)} returns the index of the 'last' row of the matrix \\spad{m}.")) (|minRowIndex| (((|Integer|) $) "\\spad{minRowIndex(m)} returns the index of the 'first' row of the matrix \\spad{m}.")) (|antisymmetric?| (((|Boolean|) $) "\\spad{antisymmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and antisymmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = -m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|symmetric?| (((|Boolean|) $) "\\spad{symmetric?(m)} returns \\spad{true} if the matrix \\spad{m} is square and symmetric (\\spadignore{i.e.} \\spad{m[i,{}j] = m[j,{}i]} for all \\spad{i} and \\spad{j}) and \\spad{false} otherwise.")) (|diagonal?| (((|Boolean|) $) "\\spad{diagonal?(m)} returns \\spad{true} if the matrix \\spad{m} is square and diagonal (\\spadignore{i.e.} all entries of \\spad{m} not on the diagonal are zero) and \\spad{false} otherwise.")) (|square?| (((|Boolean|) $) "\\spad{square?(m)} returns \\spad{true} if \\spad{m} is a square matrix (\\spadignore{i.e.} if \\spad{m} has the same number of rows as columns) and \\spad{false} otherwise.")) (|matrix| (($ (|List| (|List| |#3|))) "\\spad{matrix(l)} converts the list of lists \\spad{l} to a matrix,{} where the list of lists is viewed as a list of the rows of the matrix.")) (|finiteAggregate| ((|attribute|) "matrices are finite"))) -((-4270 . T) (-4103 . T) (-4265 . T) (-4264 . T)) +((-4270 . T) (-4102 . T) (-4265 . T) (-4264 . T)) NIL (-988 |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.")) (|coerce| (((|Matrix| |#3|) $) "\\spad{coerce(m)} converts a matrix of type \\spadtype{RectangularMatrix} to a matrix of type \\spad{Matrix}.")) (|rectangularMatrix| (($ (|Matrix| |#3|)) "\\spad{rectangularMatrix(m)} converts a matrix of type \\spadtype{Matrix} to a matrix of type \\spad{RectangularMatrix}."))) @@ -3942,7 +3942,7 @@ NIL NIL (-1003 R E V P) ((|constructor| (NIL "The category of regular triangular sets,{} introduced under the name regular chains in [1] (and other papers). In [3] it is proved that regular triangular sets and towers of simple extensions of a field are equivalent notions. In the following definitions,{} all polynomials and ideals are taken from the polynomial ring \\spad{k[x1,{}...,{}xn]} where \\spad{k} is the fraction field of \\spad{R}. The triangular set \\spad{[t1,{}...,{}tm]} is regular iff for every \\spad{i} the initial of \\spad{ti+1} is invertible in the tower of simple extensions associated with \\spad{[t1,{}...,{}\\spad{ti}]}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Kalkbrener of a given ideal \\spad{I} iff the radical of \\spad{I} is equal to the intersection of the radical ideals generated by the saturated ideals of the \\spad{[T1,{}...,{}\\spad{Ti}]}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Kalkbrener of a given triangular set \\spad{T} iff it is a split of Kalkbrener of the saturated ideal of \\spad{T}. Let \\spad{K} be an algebraic closure of \\spad{k}. Assume that \\spad{V} is finite with cardinality \\spad{n} and let \\spad{A} be the affine space \\spad{K^n}. For a regular triangular set \\spad{T} let denote by \\spad{W(T)} the set of regular zeros of \\spad{T}. A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Lazard of a given subset \\spad{S} of \\spad{A} iff the union of the \\spad{W(\\spad{Ti})} contains \\spad{S} and is contained in the closure of \\spad{S} (\\spad{w}.\\spad{r}.\\spad{t}. Zariski topology). A family \\spad{[T1,{}...,{}Ts]} of regular triangular sets is a split of Lazard of a given triangular set \\spad{T} if it is a split of Lazard of \\spad{W(T)}. Note that if \\spad{[T1,{}...,{}Ts]} is a split of Lazard of \\spad{T} then it is also a split of Kalkbrener of \\spad{T}. The converse is \\spad{false}. This category provides operations related to both kinds of splits,{} the former being related to ideals decomposition whereas the latter deals with varieties decomposition. See the example illustrating the \\spadtype{RegularTriangularSet} constructor for more explanations about decompositions by means of regular triangular sets. \\newline References : \\indented{1}{[1] \\spad{M}. KALKBRENER \"Three contributions to elimination theory\"} \\indented{5}{\\spad{Phd} Thesis,{} University of Linz,{} Austria,{} 1991.} \\indented{1}{[2] \\spad{M}. KALKBRENER \"Algorithmic properties of polynomial rings\"} \\indented{5}{Journal of Symbol. Comp. 1998} \\indented{1}{[3] \\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)} \\indented{1}{[4] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}")) (|zeroSetSplit| (((|List| $) (|List| |#4|) (|Boolean|)) "\\spad{zeroSetSplit(lp,{}clos?)} returns \\spad{lts} a split of Kalkbrener of the radical ideal associated with \\spad{lp}. If \\spad{clos?} is \\spad{false},{} it is also a decomposition of the variety associated with \\spad{lp} into the regular zero set of the \\spad{ts} in \\spad{lts} (or,{} in other words,{} a split of Lazard of this variety). See the example illustrating the \\spadtype{RegularTriangularSet} constructor for more explanations about decompositions by means of regular triangular sets.")) (|extend| (((|List| $) (|List| |#4|) (|List| $)) "\\spad{extend(lp,{}lts)} returns the same as \\spad{concat([extend(lp,{}ts) for ts in lts])|}") (((|List| $) (|List| |#4|) $) "\\spad{extend(lp,{}ts)} returns \\spad{ts} if \\spad{empty? lp} \\spad{extend(p,{}ts)} if \\spad{lp = [p]} else \\spad{extend(first lp,{} extend(rest lp,{} ts))}") (((|List| $) |#4| (|List| $)) "\\spad{extend(p,{}lts)} returns the same as \\spad{concat([extend(p,{}ts) for ts in lts])|}") (((|List| $) |#4| $) "\\spad{extend(p,{}ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is not a regular triangular set.")) (|internalAugment| (($ (|List| |#4|) $) "\\spad{internalAugment(lp,{}ts)} returns \\spad{ts} if \\spad{lp} is empty otherwise returns \\spad{internalAugment(rest lp,{} internalAugment(first lp,{} ts))}") (($ |#4| $) "\\spad{internalAugment(p,{}ts)} assumes that \\spad{augment(p,{}ts)} returns a singleton and returns it.")) (|augment| (((|List| $) (|List| |#4|) (|List| $)) "\\spad{augment(lp,{}lts)} returns the same as \\spad{concat([augment(lp,{}ts) for ts in lts])}") (((|List| $) (|List| |#4|) $) "\\spad{augment(lp,{}ts)} returns \\spad{ts} if \\spad{empty? lp},{} \\spad{augment(p,{}ts)} if \\spad{lp = [p]},{} otherwise \\spad{augment(first lp,{} augment(rest lp,{} ts))}") (((|List| $) |#4| (|List| $)) "\\spad{augment(p,{}lts)} returns the same as \\spad{concat([augment(p,{}ts) for ts in lts])}") (((|List| $) |#4| $) "\\spad{augment(p,{}ts)} assumes that \\spad{p} is a non-constant polynomial whose main variable is greater than any variable of \\spad{ts}. This operation assumes also that if \\spad{p} is added to \\spad{ts} the resulting set,{} say \\spad{ts+p},{} is a regular triangular set. Then it returns a split of Kalkbrener of \\spad{ts+p}. This may not be \\spad{ts+p} itself,{} if for instance \\spad{ts+p} is required to be square-free.")) (|intersect| (((|List| $) |#4| (|List| $)) "\\spad{intersect(p,{}lts)} returns the same as \\spad{intersect([p],{}lts)}") (((|List| $) (|List| |#4|) (|List| $)) "\\spad{intersect(lp,{}lts)} returns the same as \\spad{concat([intersect(lp,{}ts) for ts in lts])|}") (((|List| $) (|List| |#4|) $) "\\spad{intersect(lp,{}ts)} returns \\spad{lts} a split of Lazard of the intersection of the affine variety associated with \\spad{lp} and the regular zero set of \\spad{ts}.") (((|List| $) |#4| $) "\\spad{intersect(p,{}ts)} returns the same as \\spad{intersect([p],{}ts)}")) (|squareFreePart| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| $))) |#4| $) "\\spad{squareFreePart(p,{}ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a square-free polynomial \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} this polynomial being associated with \\spad{p} modulo \\spad{lpwt.i.tower},{} for every \\spad{i}. Moreover,{} the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. WARNING: This assumes that \\spad{p} is a non-constant polynomial such that if \\spad{p} is added to \\spad{ts},{} then the resulting set is a regular triangular set.")) (|lastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| $))) |#4| |#4| $) "\\spad{lastSubResultant(p1,{}p2,{}ts)} returns \\spad{lpwt} such that \\spad{lpwt.i.val} is a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower},{} for every \\spad{i},{} and such that the list of the \\spad{lpwt.i.tower} is a split of Kalkbrener of \\spad{ts}. Moreover,{} if \\spad{p1} and \\spad{p2} do not have a non-trivial \\spad{gcd} \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower} then \\spad{lpwt.i.val} is the resultant of these polynomials \\spad{w}.\\spad{r}.\\spad{t}. \\spad{lpwt.i.tower}. This assumes that \\spad{p1} and \\spad{p2} have the same maim variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|lastSubResultantElseSplit| (((|Union| |#4| (|List| $)) |#4| |#4| $) "\\spad{lastSubResultantElseSplit(p1,{}p2,{}ts)} returns either \\spad{g} a quasi-monic \\spad{gcd} of \\spad{p1} and \\spad{p2} \\spad{w}.\\spad{r}.\\spad{t}. the \\spad{ts} or a split of Kalkbrener of \\spad{ts}. This assumes that \\spad{p1} and \\spad{p2} have the same maim variable and that this variable is greater that any variable occurring in \\spad{ts}.")) (|invertibleSet| (((|List| $) |#4| $) "\\spad{invertibleSet(p,{}ts)} returns a split of Kalkbrener of the quotient ideal of the ideal \\axiom{\\spad{I}} by \\spad{p} where \\spad{I} is the radical of saturated of \\spad{ts}.")) (|invertible?| (((|Boolean|) |#4| $) "\\spad{invertible?(p,{}ts)} returns \\spad{true} iff \\spad{p} is invertible in the tower associated with \\spad{ts}.") (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| $))) |#4| $) "\\spad{invertible?(p,{}ts)} returns \\spad{lbwt} where \\spad{lbwt.i} is the result of \\spad{invertibleElseSplit?(p,{}lbwt.i.tower)} and the list of the \\spad{(lqrwt.i).tower} is a split of Kalkbrener of \\spad{ts}.")) (|invertibleElseSplit?| (((|Union| (|Boolean|) (|List| $)) |#4| $) "\\spad{invertibleElseSplit?(p,{}ts)} returns \\spad{true} (resp. \\spad{false}) if \\spad{p} is invertible in the tower associated with \\spad{ts} or returns a split of Kalkbrener of \\spad{ts}.")) (|purelyAlgebraicLeadingMonomial?| (((|Boolean|) |#4| $) "\\spad{purelyAlgebraicLeadingMonomial?(p,{}ts)} returns \\spad{true} iff the main variable of any non-constant iterarted initial of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|algebraicCoefficients?| (((|Boolean|) |#4| $) "\\spad{algebraicCoefficients?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} which is not the main one of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}.")) (|purelyTranscendental?| (((|Boolean|) |#4| $) "\\spad{purelyTranscendental?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} is not algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}")) (|purelyAlgebraic?| (((|Boolean|) $) "\\spad{purelyAlgebraic?(ts)} returns \\spad{true} iff for every algebraic variable \\spad{v} of \\spad{ts} we have \\spad{algebraicCoefficients?(t_v,{}ts_v_-)} where \\spad{ts_v} is \\axiomOpFrom{select}{TriangularSetCategory}(\\spad{ts},{}\\spad{v}) and \\spad{ts_v_-} is \\axiomOpFrom{collectUnder}{TriangularSetCategory}(\\spad{ts},{}\\spad{v}).") (((|Boolean|) |#4| $) "\\spad{purelyAlgebraic?(p,{}ts)} returns \\spad{true} iff every variable of \\spad{p} is algebraic \\spad{w}.\\spad{r}.\\spad{t}. \\spad{ts}."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1004 R E V P TS) ((|constructor| (NIL "An internal package for computing gcds and resultants of univariate polynomials with coefficients in a tower of simple extensions of a field.\\newline References : \\indented{1}{[1] \\spad{M}. MORENO MAZA and \\spad{R}. RIOBOO \"Computations of \\spad{gcd} over} \\indented{5}{algebraic towers of simple extensions\" In proceedings of AAECC11} \\indented{5}{Paris,{} 1995.} \\indented{1}{[2] \\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.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}")) (|toseSquareFreePart| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{toseSquareFreePart(\\spad{p},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{squareFreePart}{RegularTriangularSetCategory}.")) (|toseInvertibleSet| (((|List| |#5|) |#4| |#5|) "\\axiom{toseInvertibleSet(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{invertibleSet}{RegularTriangularSetCategory}.")) (|toseInvertible?| (((|List| (|Record| (|:| |val| (|Boolean|)) (|:| |tower| |#5|))) |#4| |#5|) "\\axiom{toseInvertible?(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{invertible?}{RegularTriangularSetCategory}.") (((|Boolean|) |#4| |#5|) "\\axiom{toseInvertible?(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{invertible?}{RegularTriangularSetCategory}.")) (|toseLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{toseLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} has the same specifications as \\axiomOpFrom{lastSubResultant}{RegularTriangularSetCategory}.")) (|integralLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{integralLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|internalLastSubResultant| (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) (|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) |#3| (|Boolean|)) "\\axiom{internalLastSubResultant(lpwt,{}\\spad{v},{}flag)} is an internal subroutine,{} exported only for developement.") (((|List| (|Record| (|:| |val| |#4|) (|:| |tower| |#5|))) |#4| |#4| |#5| (|Boolean|) (|Boolean|)) "\\axiom{internalLastSubResultant(\\spad{p1},{}\\spad{p2},{}\\spad{ts},{}inv?,{}break?)} is an internal subroutine,{} exported only for developement.")) (|prepareSubResAlgo| (((|List| (|Record| (|:| |val| (|List| |#4|)) (|:| |tower| |#5|))) |#4| |#4| |#5|) "\\axiom{prepareSubResAlgo(\\spad{p1},{}\\spad{p2},{}\\spad{ts})} is an internal subroutine,{} exported only for developement.")) (|stopTableInvSet!| (((|Void|)) "\\axiom{stopTableInvSet!()} is an internal subroutine,{} exported only for developement.")) (|startTableInvSet!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableInvSet!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement.")) (|stopTableGcd!| (((|Void|)) "\\axiom{stopTableGcd!()} is an internal subroutine,{} exported only for developement.")) (|startTableGcd!| (((|Void|) (|String|) (|String|) (|String|)) "\\axiom{startTableGcd!(\\spad{s1},{}\\spad{s2},{}\\spad{s3})} is an internal subroutine,{} exported only for developement."))) @@ -4014,7 +4014,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-1027)))) (-1021 S) ((|constructor| (NIL "This category provides operations on ranges,{} or {\\em segments} as they are called.")) (|convert| (($ |#1|) "\\spad{convert(i)} creates the segment \\spad{i..i}.")) (|segment| (($ |#1| |#1|) "\\spad{segment(i,{}j)} is an alternate way to create the segment \\spad{i..j}.")) (|incr| (((|Integer|) $) "\\spad{incr(s)} returns \\spad{n},{} where \\spad{s} is a segment in which every \\spad{n}\\spad{-}th element is used. Note: \\spad{incr(l..h by n) = n}.")) (|high| ((|#1| $) "\\spad{high(s)} returns the second endpoint of \\spad{s}. Note: \\spad{high(l..h) = h}.")) (|low| ((|#1| $) "\\spad{low(s)} returns the first endpoint of \\spad{s}. Note: \\spad{low(l..h) = l}.")) (|hi| ((|#1| $) "\\spad{\\spad{hi}(s)} returns the second endpoint of \\spad{s}. Note: \\spad{\\spad{hi}(l..h) = h}.")) (|lo| ((|#1| $) "\\spad{lo(s)} returns the first endpoint of \\spad{s}. Note: \\spad{lo(l..h) = l}.")) (BY (($ $ (|Integer|)) "\\spad{s by n} creates a new segment in which only every \\spad{n}\\spad{-}th element is used.")) (SEGMENT (($ |#1| |#1|) "\\spad{l..h} creates a segment with \\spad{l} and \\spad{h} as the endpoints."))) -((-4103 . T)) +((-4102 . T)) NIL (-1022 S) ((|constructor| (NIL "This type is used to specify a range of values from type \\spad{S}."))) @@ -4022,7 +4022,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-793))) (|HasCategory| |#1| (QUOTE (-1027)))) (-1023 S L) ((|constructor| (NIL "This category provides an interface for expanding segments to a stream of elements.")) (|map| ((|#2| (|Mapping| |#1| |#1|) $) "\\spad{map(f,{}l..h by k)} produces a value of type \\spad{L} by applying \\spad{f} to each of the succesive elements of the segment,{} that is,{} \\spad{[f(l),{} f(l+k),{} ...,{} f(lN)]},{} where \\spad{lN <= h < lN+k}.")) (|expand| ((|#2| $) "\\spad{expand(l..h by k)} creates value of type \\spad{L} with elements \\spad{l,{} l+k,{} ... lN} where \\spad{lN <= h < lN+k}. For example,{} \\spad{expand(1..5 by 2) = [1,{}3,{}5]}.") ((|#2| (|List| $)) "\\spad{expand(l)} creates a new value of type \\spad{L} in which each segment \\spad{l..h by k} is replaced with \\spad{l,{} l+k,{} ... lN},{} where \\spad{lN <= h < lN+k}. For example,{} \\spad{expand [1..4,{} 7..9] = [1,{}2,{}3,{}4,{}7,{}8,{}9]}."))) -((-4103 . T)) +((-4102 . T)) NIL (-1024 A S) ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#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|) $ $) "\\spad{s} < \\spad{t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) @@ -4030,7 +4030,7 @@ NIL NIL (-1025 S) ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#1| $) "\\spad{union(x,{}u)} returns the set aggregate \\spad{u} with the element \\spad{x} added. If \\spad{u} already contains \\spad{x},{} \\axiom{union(\\spad{x},{}\\spad{u})} returns a copy of \\spad{u}.") (($ $ |#1|) "\\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|) $ $) "\\spad{subset?(u,{}v)} tests if \\spad{u} is a subset of \\spad{v}. Note: equivalent to \\axiom{reduce(and,{}{member?(\\spad{x},{}\\spad{v}) for \\spad{x} in \\spad{u}},{}\\spad{true},{}\\spad{false})}.")) (|symmetricDifference| (($ $ $) "\\spad{symmetricDifference(u,{}v)} returns the set aggregate of elements \\spad{x} which are members of set aggregate \\spad{u} or set aggregate \\spad{v} but not both. If \\spad{u} and \\spad{v} have no elements in common,{} \\axiom{symmetricDifference(\\spad{u},{}\\spad{v})} returns a copy of \\spad{u}. Note: \\axiom{symmetricDifference(\\spad{u},{}\\spad{v}) = union(difference(\\spad{u},{}\\spad{v}),{}difference(\\spad{v},{}\\spad{u}))}")) (|difference| (($ $ |#1|) "\\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| |#1|)) "\\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| |#1|)) "\\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}."))) -((-4260 . T) (-4103 . T)) +((-4260 . T) (-4102 . T)) NIL (-1026 S) ((|constructor| (NIL "\\spadtype{SetCategory} is the basic category for describing a collection of elements with \\spadop{=} (equality) and \\spadfun{coerce} to output form. \\blankline Conditional Attributes: \\indented{3}{canonical\\tab{15}data structure equality is the same as \\spadop{=}}")) (|latex| (((|String|) $) "\\spad{latex(s)} returns a LaTeX-printable output representation of \\spad{s}.")) (|hash| (((|SingleInteger|) $) "\\spad{hash(s)} calculates a hash code for \\spad{s}."))) @@ -4074,7 +4074,7 @@ NIL NIL (-1036 R E V P) ((|constructor| (NIL "The category of square-free regular triangular sets. A regular triangular set \\spad{ts} is square-free if the \\spad{gcd} of any polynomial \\spad{p} in \\spad{ts} and \\spad{differentiate(p,{}mvar(p))} \\spad{w}.\\spad{r}.\\spad{t}. \\axiomOpFrom{collectUnder}{TriangularSetCategory}(\\spad{ts},{}\\axiomOpFrom{mvar}{RecursivePolynomialCategory}(\\spad{p})) has degree zero \\spad{w}.\\spad{r}.\\spad{t}. \\spad{mvar(p)}. Thus any square-free regular set defines a tower of square-free simple extensions.\\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}. KALKBRENER \"Algorithmic properties of polynomial rings\"} \\indented{5}{Habilitation Thesis,{} ETZH,{} Zurich,{} 1995.} \\indented{1}{[3] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}"))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1037) ((|constructor| (NIL "SymmetricGroupCombinatoricFunctions contains combinatoric functions concerning symmetric groups and representation theory: list young tableaus,{} improper partitions,{} subsets bijection of Coleman.")) (|unrankImproperPartitions1| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{unrankImproperPartitions1(n,{}m,{}k)} computes the {\\em k}\\spad{-}th improper partition of nonnegative \\spad{n} in at most \\spad{m} nonnegative parts ordered as follows: first,{} in reverse lexicographically according to their non-zero parts,{} then according to their positions (\\spadignore{i.e.} lexicographical order using {\\em subSet}: {\\em [3,{}0,{}0] < [0,{}3,{}0] < [0,{}0,{}3] < [2,{}1,{}0] < [2,{}0,{}1] < [0,{}2,{}1] < [1,{}2,{}0] < [1,{}0,{}2] < [0,{}1,{}2] < [1,{}1,{}1]}). Note: counting of subtrees is done by {\\em numberOfImproperPartitionsInternal}.")) (|unrankImproperPartitions0| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{unrankImproperPartitions0(n,{}m,{}k)} computes the {\\em k}\\spad{-}th improper partition of nonnegative \\spad{n} in \\spad{m} nonnegative parts in reverse lexicographical order. Example: {\\em [0,{}0,{}3] < [0,{}1,{}2] < [0,{}2,{}1] < [0,{}3,{}0] < [1,{}0,{}2] < [1,{}1,{}1] < [1,{}2,{}0] < [2,{}0,{}1] < [2,{}1,{}0] < [3,{}0,{}0]}. Error: if \\spad{k} is negative or too big. Note: counting of subtrees is done by \\spadfunFrom{numberOfImproperPartitions}{SymmetricGroupCombinatoricFunctions}.")) (|subSet| (((|List| (|Integer|)) (|Integer|) (|Integer|) (|Integer|)) "\\spad{subSet(n,{}m,{}k)} calculates the {\\em k}\\spad{-}th {\\em m}-subset of the set {\\em 0,{}1,{}...,{}(n-1)} in the lexicographic order considered as a decreasing map from {\\em 0,{}...,{}(m-1)} into {\\em 0,{}...,{}(n-1)}. See \\spad{S}.\\spad{G}. Williamson: Theorem 1.60. Error: if not {\\em (0 <= m <= n and 0 < = k < (n choose m))}.")) (|numberOfImproperPartitions| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{numberOfImproperPartitions(n,{}m)} computes the number of partitions of the nonnegative integer \\spad{n} in \\spad{m} nonnegative parts with regarding the order (improper partitions). Example: {\\em numberOfImproperPartitions (3,{}3)} is 10,{} since {\\em [0,{}0,{}3],{} [0,{}1,{}2],{} [0,{}2,{}1],{} [0,{}3,{}0],{} [1,{}0,{}2],{} [1,{}1,{}1],{} [1,{}2,{}0],{} [2,{}0,{}1],{} [2,{}1,{}0],{} [3,{}0,{}0]} are the possibilities. Note: this operation has a recursive implementation.")) (|nextPartition| (((|Vector| (|Integer|)) (|List| (|Integer|)) (|Vector| (|Integer|)) (|Integer|)) "\\spad{nextPartition(gamma,{}part,{}number)} generates the partition of {\\em number} which follows {\\em part} according to the right-to-left lexicographical order. The partition has the property that its components do not exceed the corresponding components of {\\em gamma}. the first partition is achieved by {\\em part=[]}. Also,{} {\\em []} indicates that {\\em part} is the last partition.") (((|Vector| (|Integer|)) (|Vector| (|Integer|)) (|Vector| (|Integer|)) (|Integer|)) "\\spad{nextPartition(gamma,{}part,{}number)} generates the partition of {\\em number} which follows {\\em part} according to the right-to-left lexicographical order. The partition has the property that its components do not exceed the corresponding components of {\\em gamma}. The first partition is achieved by {\\em part=[]}. Also,{} {\\em []} indicates that {\\em part} is the last partition.")) (|nextLatticePermutation| (((|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Boolean|)) "\\spad{nextLatticePermutation(lambda,{}lattP,{}constructNotFirst)} generates the lattice permutation according to the proper partition {\\em lambda} succeeding the lattice permutation {\\em lattP} in lexicographical order as long as {\\em constructNotFirst} is \\spad{true}. If {\\em constructNotFirst} is \\spad{false},{} the first lattice permutation is returned. The result {\\em nil} indicates that {\\em lattP} has no successor.")) (|nextColeman| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Matrix| (|Integer|))) "\\spad{nextColeman(alpha,{}beta,{}C)} generates the next Coleman matrix of column sums {\\em alpha} and row sums {\\em beta} according to the lexicographical order from bottom-to-top. The first Coleman matrix is achieved by {\\em C=new(1,{}1,{}0)}. Also,{} {\\em new(1,{}1,{}0)} indicates that \\spad{C} is the last Coleman matrix.")) (|makeYoungTableau| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{makeYoungTableau(lambda,{}gitter)} computes for a given lattice permutation {\\em gitter} and for an improper partition {\\em lambda} the corresponding standard tableau of shape {\\em lambda}. Notes: see {\\em listYoungTableaus}. The entries are from {\\em 0,{}...,{}n-1}.")) (|listYoungTableaus| (((|List| (|Matrix| (|Integer|))) (|List| (|Integer|))) "\\spad{listYoungTableaus(lambda)} where {\\em lambda} is a proper partition generates the list of all standard tableaus of shape {\\em lambda} by means of lattice permutations. The numbers of the lattice permutation are interpreted as column labels. Hence the contents of these lattice permutations are the conjugate of {\\em lambda}. Notes: the functions {\\em nextLatticePermutation} and {\\em makeYoungTableau} are used. The entries are from {\\em 0,{}...,{}n-1}.")) (|inverseColeman| (((|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|Matrix| (|Integer|))) "\\spad{inverseColeman(alpha,{}beta,{}C)}: there is a bijection from the set of matrices having nonnegative entries and row sums {\\em alpha},{} column sums {\\em beta} to the set of {\\em Salpha - Sbeta} double cosets of the symmetric group {\\em Sn}. ({\\em Salpha} is the Young subgroup corresponding to the improper partition {\\em alpha}). For such a matrix \\spad{C},{} inverseColeman(\\spad{alpha},{}\\spad{beta},{}\\spad{C}) calculates the lexicographical smallest {\\em \\spad{pi}} in the corresponding double coset. Note: the resulting permutation {\\em \\spad{pi}} of {\\em {1,{}2,{}...,{}n}} is given in list form. Notes: the inverse of this map is {\\em coleman}. For details,{} see James/Kerber.")) (|coleman| (((|Matrix| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|)) (|List| (|Integer|))) "\\spad{coleman(alpha,{}beta,{}\\spad{pi})}: there is a bijection from the set of matrices having nonnegative entries and row sums {\\em alpha},{} column sums {\\em beta} to the set of {\\em Salpha - Sbeta} double cosets of the symmetric group {\\em Sn}. ({\\em Salpha} is the Young subgroup corresponding to the improper partition {\\em alpha}). For a representing element {\\em \\spad{pi}} of such a double coset,{} coleman(\\spad{alpha},{}\\spad{beta},{}\\spad{pi}) generates the Coleman-matrix corresponding to {\\em alpha,{} beta,{} \\spad{pi}}. Note: The permutation {\\em \\spad{pi}} of {\\em {1,{}2,{}...,{}n}} has to be given in list form. Note: the inverse of this map is {\\em inverseColeman} (if {\\em \\spad{pi}} is the lexicographical smallest permutation in the coset). For details see James/Kerber."))) @@ -4118,7 +4118,7 @@ NIL NIL (-1047 S) ((|constructor| (NIL "A stack is a bag where the last item inserted is the first item extracted.")) (|depth| (((|NonNegativeInteger|) $) "\\spad{depth(s)} returns the number of elements of stack \\spad{s}. Note: \\axiom{depth(\\spad{s}) = \\spad{#s}}.")) (|top| ((|#1| $) "\\spad{top(s)} returns the top element \\spad{x} from \\spad{s}; \\spad{s} remains unchanged. Note: Use \\axiom{pop!(\\spad{s})} to obtain \\spad{x} and remove it from \\spad{s}.")) (|pop!| ((|#1| $) "\\spad{pop!(s)} returns the top element \\spad{x},{} destructively removing \\spad{x} from \\spad{s}. Note: Use \\axiom{top(\\spad{s})} to obtain \\spad{x} without removing it from \\spad{s}. Error: if \\spad{s} is empty.")) (|push!| ((|#1| |#1| $) "\\spad{push!(x,{}s)} pushes \\spad{x} onto stack \\spad{s},{} \\spadignore{i.e.} destructively changing \\spad{s} so as to have a new first (top) element \\spad{x}. Afterwards,{} pop!(\\spad{s}) produces \\spad{x} and pop!(\\spad{s}) produces the original \\spad{s}."))) -((-4270 . T) (-4271 . T) (-4103 . T)) +((-4270 . T) (-4271 . T) (-4102 . T)) NIL (-1048 S |ndim| R |Row| |Col|) ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if the matrix is not invertible.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m},{} if that matrix is invertible and returns \"failed\" otherwise.")) (|minordet| ((|#3| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors.")) (|determinant| ((|#3| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.")) (* ((|#4| |#4| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#5| $ |#5|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.")) (|diagonalProduct| ((|#3| $) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}.")) (|trace| ((|#3| $) "\\spad{trace(m)} returns the trace of the matrix \\spad{m}. this is the sum of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonal| ((|#4| $) "\\spad{diagonal(m)} returns a row consisting of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonalMatrix| (($ (|List| |#3|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ |#3|) "\\spad{scalarMatrix(r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere."))) @@ -4126,7 +4126,7 @@ NIL ((|HasCategory| |#3| (QUOTE (-344))) (|HasAttribute| |#3| (QUOTE (-4272 "*"))) (|HasCategory| |#3| (QUOTE (-162)))) (-1049 |ndim| R |Row| |Col|) ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|Integer|)) "\\spad{m**n} computes an integral power of the matrix \\spad{m}. Error: if the matrix is not invertible.")) (|inverse| (((|Union| $ "failed") $) "\\spad{inverse(m)} returns the inverse of the matrix \\spad{m},{} if that matrix is invertible and returns \"failed\" otherwise.")) (|minordet| ((|#2| $) "\\spad{minordet(m)} computes the determinant of the matrix \\spad{m} using minors.")) (|determinant| ((|#2| $) "\\spad{determinant(m)} returns the determinant of the matrix \\spad{m}.")) (* ((|#3| |#3| $) "\\spad{r * x} is the product of the row vector \\spad{r} and the matrix \\spad{x}. Error: if the dimensions are incompatible.") ((|#4| $ |#4|) "\\spad{x * c} is the product of the matrix \\spad{x} and the column vector \\spad{c}. Error: if the dimensions are incompatible.")) (|diagonalProduct| ((|#2| $) "\\spad{diagonalProduct(m)} returns the product of the elements on the diagonal of the matrix \\spad{m}.")) (|trace| ((|#2| $) "\\spad{trace(m)} returns the trace of the matrix \\spad{m}. this is the sum of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonal| ((|#3| $) "\\spad{diagonal(m)} returns a row consisting of the elements on the diagonal of the matrix \\spad{m}.")) (|diagonalMatrix| (($ (|List| |#2|)) "\\spad{diagonalMatrix(l)} returns a diagonal matrix with the elements of \\spad{l} on the diagonal.")) (|scalarMatrix| (($ |#2|) "\\spad{scalarMatrix(r)} returns an \\spad{n}-by-\\spad{n} matrix with \\spad{r}\\spad{'s} on the diagonal and zeroes elsewhere."))) -((-4103 . T) (-4270 . T) (-4264 . T) (-4265 . T) (-4267 . T)) +((-4102 . T) (-4270 . T) (-4264 . T) (-4265 . T) (-4267 . T)) NIL (-1050 R |Row| |Col| M) ((|constructor| (NIL "\\spadtype{SmithNormalForm} is a package which provides some standard canonical forms for matrices.")) (|diophantineSystem| (((|Record| (|:| |particular| (|Union| |#3| "failed")) (|:| |basis| (|List| |#3|))) |#4| |#3|) "\\spad{diophantineSystem(A,{}B)} returns a particular integer solution and an integer basis of the equation \\spad{AX = B}.")) (|completeSmith| (((|Record| (|:| |Smith| |#4|) (|:| |leftEqMat| |#4|) (|:| |rightEqMat| |#4|)) |#4|) "\\spad{completeSmith} returns a record that contains the Smith normal form \\spad{H} of the matrix and the left and right equivalence matrices \\spad{U} and \\spad{V} such that U*m*v = \\spad{H}")) (|smith| ((|#4| |#4|) "\\spad{smith(m)} returns the Smith Normal form of the matrix \\spad{m}.")) (|completeHermite| (((|Record| (|:| |Hermite| |#4|) (|:| |eqMat| |#4|)) |#4|) "\\spad{completeHermite} returns a record that contains the Hermite normal form \\spad{H} of the matrix and the equivalence matrix \\spad{U} such that U*m = \\spad{H}")) (|hermite| ((|#4| |#4|) "\\spad{hermite(m)} returns the Hermite normal form of the matrix \\spad{m}."))) @@ -4142,7 +4142,7 @@ NIL ((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-140))) (|HasCategory| |#1| (QUOTE (-138))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-344)))) (-1053 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}"))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1054 UP -1329) ((|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"))) @@ -4202,7 +4202,7 @@ NIL NIL (-1068) ((|constructor| (NIL "A string aggregate is a category for strings,{} that is,{} one dimensional arrays of characters.")) (|elt| (($ $ $) "\\spad{elt(s,{}t)} returns the concatenation of \\spad{s} and \\spad{t}. It is provided to allow juxtaposition of strings to work as concatenation. For example,{} \\axiom{\"smoo\" \"shed\"} returns \\axiom{\"smooshed\"}.")) (|rightTrim| (($ $ (|CharacterClass|)) "\\spad{rightTrim(s,{}cc)} returns \\spad{s} with all trailing occurences of characters in \\spad{cc} deleted. For example,{} \\axiom{rightTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"(abc\"}.") (($ $ (|Character|)) "\\spad{rightTrim(s,{}c)} returns \\spad{s} with all trailing occurrences of \\spad{c} deleted. For example,{} \\axiom{rightTrim(\" abc \",{} char \" \")} returns \\axiom{\" abc\"}.")) (|leftTrim| (($ $ (|CharacterClass|)) "\\spad{leftTrim(s,{}cc)} returns \\spad{s} with all leading characters in \\spad{cc} deleted. For example,{} \\axiom{leftTrim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc)\"}.") (($ $ (|Character|)) "\\spad{leftTrim(s,{}c)} returns \\spad{s} with all leading characters \\spad{c} deleted. For example,{} \\axiom{leftTrim(\" abc \",{} char \" \")} returns \\axiom{\"abc \"}.")) (|trim| (($ $ (|CharacterClass|)) "\\spad{trim(s,{}cc)} returns \\spad{s} with all characters in \\spad{cc} deleted from right and left ends. For example,{} \\axiom{trim(\"(abc)\",{} charClass \"()\")} returns \\axiom{\"abc\"}.") (($ $ (|Character|)) "\\spad{trim(s,{}c)} returns \\spad{s} with all characters \\spad{c} deleted from right and left ends. For example,{} \\axiom{trim(\" abc \",{} char \" \")} returns \\axiom{\"abc\"}.")) (|split| (((|List| $) $ (|CharacterClass|)) "\\spad{split(s,{}cc)} returns a list of substrings delimited by characters in \\spad{cc}.") (((|List| $) $ (|Character|)) "\\spad{split(s,{}c)} returns a list of substrings delimited by character \\spad{c}.")) (|coerce| (($ (|Character|)) "\\spad{coerce(c)} returns \\spad{c} as a string \\spad{s} with the character \\spad{c}.")) (|position| (((|Integer|) (|CharacterClass|) $ (|Integer|)) "\\spad{position(cc,{}t,{}i)} returns the position \\axiom{\\spad{j} \\spad{>=} \\spad{i}} in \\spad{t} of the first character belonging to \\spad{cc}.") (((|Integer|) $ $ (|Integer|)) "\\spad{position(s,{}t,{}i)} returns the position \\spad{j} of the substring \\spad{s} in string \\spad{t},{} where \\axiom{\\spad{j} \\spad{>=} \\spad{i}} is required.")) (|replace| (($ $ (|UniversalSegment| (|Integer|)) $) "\\spad{replace(s,{}i..j,{}t)} replaces the substring \\axiom{\\spad{s}(\\spad{i}..\\spad{j})} of \\spad{s} by string \\spad{t}.")) (|match?| (((|Boolean|) $ $ (|Character|)) "\\spad{match?(s,{}t,{}c)} tests if \\spad{s} matches \\spad{t} except perhaps for multiple and consecutive occurrences of character \\spad{c}. Typically \\spad{c} is the blank character.")) (|match| (((|NonNegativeInteger|) $ $ (|Character|)) "\\spad{match(p,{}s,{}wc)} tests if pattern \\axiom{\\spad{p}} matches subject \\axiom{\\spad{s}} where \\axiom{\\spad{wc}} is a wild card character. If no match occurs,{} the index \\axiom{0} is returned; otheriwse,{} the value returned is the first index of the first character in the subject matching the subject (excluding that matched by an initial wild-card). For example,{} \\axiom{match(\"*to*\",{}\"yorktown\",{}\\spad{\"*\"})} returns \\axiom{5} indicating a successful match starting at index \\axiom{5} of \\axiom{\"yorktown\"}.")) (|substring?| (((|Boolean|) $ $ (|Integer|)) "\\spad{substring?(s,{}t,{}i)} tests if \\spad{s} is a substring of \\spad{t} beginning at index \\spad{i}. Note: \\axiom{substring?(\\spad{s},{}\\spad{t},{}0) = prefix?(\\spad{s},{}\\spad{t})}.")) (|suffix?| (((|Boolean|) $ $) "\\spad{suffix?(s,{}t)} tests if the string \\spad{s} is the final substring of \\spad{t}. Note: \\axiom{suffix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.(\\spad{n} - \\spad{m} + \\spad{i}) for \\spad{i} in 0..maxIndex \\spad{s}])} where \\spad{m} and \\spad{n} denote the maxIndex of \\spad{s} and \\spad{t} respectively.")) (|prefix?| (((|Boolean|) $ $) "\\spad{prefix?(s,{}t)} tests if the string \\spad{s} is the initial substring of \\spad{t}. Note: \\axiom{prefix?(\\spad{s},{}\\spad{t}) \\spad{==} reduce(and,{}[\\spad{s}.\\spad{i} = \\spad{t}.\\spad{i} for \\spad{i} in 0..maxIndex \\spad{s}])}.")) (|upperCase!| (($ $) "\\spad{upperCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by upper case characters.")) (|upperCase| (($ $) "\\spad{upperCase(s)} returns the string with all characters in upper case.")) (|lowerCase!| (($ $) "\\spad{lowerCase!(s)} destructively replaces the alphabetic characters in \\spad{s} by lower case.")) (|lowerCase| (($ $) "\\spad{lowerCase(s)} returns the string with all characters in lower case."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1069 R E V P TS) ((|constructor| (NIL "A package providing a new algorithm for solving polynomial systems by means of regular chains. Two ways of solving are provided: in the sense of Zariski closure (like in Kalkbrener\\spad{'s} algorithm) or in the sense of the regular zeros (like in Wu,{} Wang or Lazard- Moreno methods). This algorithm is valid for nay type of regular set. It does not care about the way a polynomial is added in an regular set,{} or how two quasi-components are compared (by an inclusion-test),{} or how the invertibility test is made in the tower of simple extensions associated with a regular set. These operations are realized respectively by the domain \\spad{TS} and the packages \\spad{QCMPPK(R,{}E,{}V,{}P,{}TS)} and \\spad{RSETGCD(R,{}E,{}V,{}P,{}TS)}. The same way it does not care about the way univariate polynomial gcds (with coefficients in the tower of simple extensions associated with a regular set) are computed. The only requirement is that these gcds need to have invertible initials (normalized or not). WARNING. There is no need for a user to call diectly any operation of this package since they can be accessed by the domain \\axiomType{\\spad{TS}}. Thus,{} the operations of this package are not documented.\\newline References : \\indented{1}{[1] \\spad{M}. MORENO MAZA \"A new algorithm for computing triangular} \\indented{5}{decomposition of algebraic varieties\" NAG Tech. Rep. 4/98.}"))) @@ -4222,7 +4222,7 @@ NIL NIL (-1073 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|) $) "\\spad{explicitlyFinite?(s)} tests if the stream has a finite number of elements,{} and \\spad{false} otherwise. Note: for many datatypes,{} \\axiom{explicitlyFinite?(\\spad{s}) = not possiblyInfinite?(\\spad{s})}."))) -((-4103 . T)) +((-4102 . T)) NIL (-1074 |Key| |Ent| |dent|) ((|constructor| (NIL "A sparse table has a default entry,{} which is returned if no other value has been explicitly stored for a key."))) @@ -4254,7 +4254,7 @@ NIL ((-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (LIST (QUOTE -291) (|devaluate| |#1|)))) (|HasCategory| |#1| (QUOTE (-1027))) (-1450 (-12 (|HasCategory| |#1| (QUOTE (-1027))) (|HasCategory| |#1| (LIST (QUOTE -291) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -571) (QUOTE (-804))))) (|HasCategory| |#1| (LIST (QUOTE -572) (QUOTE (-506)))) (|HasCategory| (-530) (QUOTE (-795))) (|HasCategory| |#1| (LIST (QUOTE -571) (QUOTE (-804))))) (-1081) ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1082) NIL @@ -4291,7 +4291,7 @@ NIL (-1090 |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.")) 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(QUOTE (-344)))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| (-1097 |#1| |#2| |#3|) (QUOTE (-768))) (|HasCategory| |#1| (QUOTE (-344)))) (-12 (|HasCategory| (-1097 |#1| |#2| |#3|) (QUOTE (-850))) (|HasCategory| |#1| (QUOTE (-344)))) (|HasCategory| |#1| (QUOTE (-162)))) (-12 (|HasCategory| (-1097 |#1| |#2| |#3|) (QUOTE (-795))) (|HasCategory| |#1| (QUOTE (-344)))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (-12 (|HasCategory| $ (QUOTE (-138))) (|HasCategory| (-1097 |#1| |#2| |#3|) (QUOTE (-850))) (|HasCategory| |#1| (QUOTE (-344)))) (-1450 (-12 (|HasCategory| $ (QUOTE (-138))) (|HasCategory| (-1097 |#1| |#2| |#3|) (QUOTE (-850))) (|HasCategory| |#1| (QUOTE (-344)))) (-12 (|HasCategory| (-1097 |#1| |#2| |#3|) (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-344)))) (|HasCategory| |#1| (QUOTE (-138))))) (-1091 R -1329) ((|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}(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 @@ -4315,11 +4315,11 @@ NIL (-1096 |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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4264 . T) (-4265 . T) (-4267 . 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We may integrate a series when we can divide coefficients by integers.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{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}."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4264 . T) (-4265 . T) (-4267 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|)))) (|HasCategory| (-719) (QUOTE (-1039))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -2101) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|)))) (|HasCategory| (-719) (QUOTE (-1039))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -3700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) (-1098) ((|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 @@ -4378,7 +4378,7 @@ NIL NIL (-1112 |Key| |Entry|) ((|constructor| (NIL "A table aggregate is a model of a table,{} \\spadignore{i.e.} a discrete many-to-one mapping from keys to entries.")) (|map| (($ (|Mapping| |#2| |#2| |#2|) $ $) "\\spad{map(fn,{}t1,{}t2)} creates a new table \\spad{t} from given tables \\spad{t1} and \\spad{t2} with elements \\spad{fn}(\\spad{x},{}\\spad{y}) where \\spad{x} and \\spad{y} are corresponding elements from \\spad{t1} and \\spad{t2} respectively.")) (|table| (($ (|List| (|Record| (|:| |key| |#1|) (|:| |entry| |#2|)))) "\\spad{table([x,{}y,{}...,{}z])} creates a table consisting of entries \\axiom{\\spad{x},{}\\spad{y},{}...,{}\\spad{z}}.") (($) "\\spad{table()}\\$\\spad{T} creates an empty table of type \\spad{T}.")) (|setelt| ((|#2| $ |#1| |#2|) "\\spad{setelt(t,{}k,{}e)} (also written \\axiom{\\spad{t}.\\spad{k} \\spad{:=} \\spad{e}}) is equivalent to \\axiom{(insert([\\spad{k},{}\\spad{e}],{}\\spad{t}); \\spad{e})}."))) -((-4271 . T) (-4103 . T)) +((-4271 . T) (-4102 . T)) NIL (-1113 |Key| |Entry|) ((|constructor| (NIL "\\axiom{TabulatedComputationPackage(Key ,{}Entry)} provides some modest support for dealing with operations with type \\axiom{Key \\spad{->} Entry}. The result of such operations can be stored and retrieved with this package by using a hash-table. The user does not need to worry about the management of this hash-table. However,{} onnly one hash-table is built by calling \\axiom{TabulatedComputationPackage(Key ,{}Entry)}.")) (|insert!| (((|Void|) |#1| |#2|) "\\axiom{insert!(\\spad{x},{}\\spad{y})} stores the item whose key is \\axiom{\\spad{x}} and whose entry is \\axiom{\\spad{y}}.")) (|extractIfCan| (((|Union| |#2| "failed") |#1|) "\\axiom{extractIfCan(\\spad{x})} searches the item whose key is \\axiom{\\spad{x}}.")) (|makingStats?| (((|Boolean|)) "\\axiom{makingStats?()} returns \\spad{true} iff the statisitics process is running.")) (|printingInfo?| (((|Boolean|)) "\\axiom{printingInfo?()} returns \\spad{true} iff messages are printed when manipulating items from the hash-table.")) (|usingTable?| (((|Boolean|)) "\\axiom{usingTable?()} returns \\spad{true} iff the hash-table is used")) (|clearTable!| (((|Void|)) "\\axiom{clearTable!()} clears the hash-table and assumes that it will no longer be used.")) (|printStats!| (((|Void|)) "\\axiom{printStats!()} prints the statistics.")) (|startStats!| (((|Void|) (|String|)) "\\axiom{startStats!(\\spad{x})} initializes the statisitics process and sets the comments to display when statistics are printed")) (|printInfo!| (((|Void|) (|String|) (|String|)) "\\axiom{printInfo!(\\spad{x},{}\\spad{y})} initializes the mesages to be printed when manipulating items from the hash-table. If a key is retrieved then \\axiom{\\spad{x}} is displayed. If an item is stored then \\axiom{\\spad{y}} is displayed.")) (|initTable!| (((|Void|)) "\\axiom{initTable!()} initializes the hash-table."))) @@ -4446,7 +4446,7 @@ NIL ((|HasCategory| |#4| (QUOTE (-349)))) (-1129 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} < ... < \\spad{Xn}}. A set \\axiom{\\spad{S}} of polynomials in \\axiom{\\spad{R}[\\spad{X1},{}\\spad{X2},{}...,{}\\spad{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|) $) "\\axiom{coHeight(\\spad{ts})} returns \\axiom{size()\\spad{\\$}\\spad{V}} minus \\axiom{\\spad{\\#}\\spad{ts}}.")) (|extend| (($ $ |#4|) "\\axiom{extend(\\spad{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{\\spad{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") $ |#4|) "\\axiom{extendIfCan(\\spad{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{\\spad{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| |#4| "failed") $ |#3|) "\\axiom{select(\\spad{ts},{}\\spad{v})} returns the polynomial of \\axiom{\\spad{ts}} with \\axiom{\\spad{v}} as main variable,{} if any.")) (|algebraic?| (((|Boolean|) |#3| $) "\\axiom{algebraic?(\\spad{v},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{v}} is the main variable of some polynomial in \\axiom{\\spad{ts}}.")) (|algebraicVariables| (((|List| |#3|) $) "\\axiom{algebraicVariables(\\spad{ts})} returns the decreasingly sorted list of the main variables of the polynomials of \\axiom{\\spad{ts}}.")) (|rest| (((|Union| $ "failed") $) "\\axiom{rest(\\spad{ts})} returns the polynomials of \\axiom{\\spad{ts}} with smaller main variable than \\axiom{mvar(\\spad{ts})} if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \"failed\"")) (|last| (((|Union| |#4| "failed") $) "\\axiom{last(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with smallest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|first| (((|Union| |#4| "failed") $) "\\axiom{first(\\spad{ts})} returns the polynomial of \\axiom{\\spad{ts}} with greatest main variable if \\axiom{\\spad{ts}} is not empty,{} otherwise returns \\axiom{\"failed\"}.")) (|zeroSetSplitIntoTriangularSystems| (((|List| (|Record| (|:| |close| $) (|:| |open| (|List| |#4|)))) (|List| |#4|)) "\\axiom{zeroSetSplitIntoTriangularSystems(\\spad{lp})} returns a list of triangular systems \\axiom{[[\\spad{ts1},{}\\spad{qs1}],{}...,{}[\\spad{tsn},{}\\spad{qsn}]]} such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the \\axiom{W_i} where \\axiom{W_i} consists of the zeros of \\axiom{\\spad{ts}} which do not cancel any polynomial in \\axiom{qsi}.")) (|zeroSetSplit| (((|List| $) (|List| |#4|)) "\\axiom{zeroSetSplit(\\spad{lp})} returns a list \\axiom{\\spad{lts}} of triangular sets such that the zero set of \\axiom{\\spad{lp}} is the union of the closures of the regular zero sets of the members of \\axiom{\\spad{lts}}.")) (|reduceByQuasiMonic| ((|#4| |#4| $) "\\axiom{reduceByQuasiMonic(\\spad{p},{}\\spad{ts})} returns the same as \\axiom{remainder(\\spad{p},{}collectQuasiMonic(\\spad{ts})).polnum}.")) (|collectQuasiMonic| (($ $) "\\axiom{collectQuasiMonic(\\spad{ts})} returns the subset of \\axiom{\\spad{ts}} consisting of the polynomials with initial in \\axiom{\\spad{R}}.")) (|removeZero| ((|#4| |#4| $) "\\axiom{removeZero(\\spad{p},{}\\spad{ts})} returns \\axiom{0} if \\axiom{\\spad{p}} reduces to \\axiom{0} by pseudo-division \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{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| ((|#4| |#4| $) "\\axiom{initiallyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|headReduce| ((|#4| |#4| $) "\\axiom{headReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduce?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|stronglyReduce| ((|#4| |#4| $) "\\axiom{stronglyReduce(\\spad{p},{}\\spad{ts})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{stronglyReduced?(\\spad{r},{}\\spad{ts})} holds and there exists some product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{ts}}.")) (|rewriteSetWithReduction| (((|List| |#4|) (|List| |#4|) $ (|Mapping| |#4| |#4| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{rewriteSetWithReduction(\\spad{lp},{}\\spad{ts},{}redOp,{}redOp?)} returns a list \\axiom{\\spad{lq}} of polynomials such that \\axiom{[reduce(\\spad{p},{}\\spad{ts},{}redOp,{}redOp?) for \\spad{p} in \\spad{lp}]} and \\axiom{\\spad{lp}} have the same zeros inside the regular zero set of \\axiom{\\spad{ts}}. Moreover,{} for every polynomial \\axiom{\\spad{q}} in \\axiom{\\spad{lq}} and every polynomial \\axiom{\\spad{t}} in \\axiom{\\spad{ts}} \\axiom{redOp?(\\spad{q},{}\\spad{t})} holds and there exists a polynomial \\axiom{\\spad{p}} in the ideal generated by \\axiom{\\spad{lp}} and a product \\axiom{\\spad{h}} of \\axiom{initials(\\spad{ts})} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{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 = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|reduce| ((|#4| |#4| $ (|Mapping| |#4| |#4| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{reduce(\\spad{p},{}\\spad{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{\\spad{ts}} and there exists some product \\axiom{\\spad{h}} of the initials of the members of \\axiom{\\spad{ts}} such that \\axiom{\\spad{h*p} - \\spad{r}} lies in the ideal generated by \\axiom{\\spad{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 = \\spad{f*q} + redOp(\\spad{p},{}\\spad{q})}.")) (|autoReduced?| (((|Boolean|) $ (|Mapping| (|Boolean|) |#4| (|List| |#4|))) "\\axiom{autoReduced?(\\spad{ts},{}redOp?)} returns \\spad{true} iff every element of \\axiom{\\spad{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|) |#4| $) "\\axiom{initiallyReduced?(\\spad{p},{}\\spad{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{\\spad{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|) |#4| $) "\\axiom{headReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff the head of \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|stronglyReduced?| (((|Boolean|) $) "\\axiom{stronglyReduced?(\\spad{ts})} returns \\spad{true} iff every element of \\axiom{\\spad{ts}} is reduced \\spad{w}.\\spad{r}.\\spad{t} to any other element of \\axiom{\\spad{ts}}.") (((|Boolean|) |#4| $) "\\axiom{stronglyReduced?(\\spad{p},{}\\spad{ts})} returns \\spad{true} iff \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{ts}}.")) (|reduced?| (((|Boolean|) |#4| $ (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{reduced?(\\spad{p},{}\\spad{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{\\spad{ts}} \\axiom{redOp?(\\spad{p},{}\\spad{t})} holds.")) (|normalized?| (((|Boolean|) $) "\\axiom{normalized?(\\spad{ts})} returns \\spad{true} iff for every axiom{\\spad{p}} in axiom{\\spad{ts}} we have \\axiom{normalized?(\\spad{p},{}us)} where \\axiom{us} is \\axiom{collectUnder(\\spad{ts},{}mvar(\\spad{p}))}.") (((|Boolean|) |#4| $) "\\axiom{normalized?(\\spad{p},{}\\spad{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{\\spad{ts}}")) (|quasiComponent| (((|Record| (|:| |close| (|List| |#4|)) (|:| |open| (|List| |#4|))) $) "\\axiom{quasiComponent(\\spad{ts})} returns \\axiom{[\\spad{lp},{}\\spad{lq}]} where \\axiom{\\spad{lp}} is the list of the members of \\axiom{\\spad{ts}} and \\axiom{\\spad{lq}}is \\axiom{initials(\\spad{ts})}.")) (|degree| (((|NonNegativeInteger|) $) "\\axiom{degree(\\spad{ts})} returns the product of main degrees of the members of \\axiom{\\spad{ts}}.")) (|initials| (((|List| |#4|) $) "\\axiom{initials(\\spad{ts})} returns the list of the non-constant initials of the members of \\axiom{\\spad{ts}}.")) (|basicSet| (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{basicSet(\\spad{ps},{}pred?,{}redOp?)} returns the same as \\axiom{basicSet(\\spad{qs},{}redOp?)} where \\axiom{\\spad{qs}} consists of the polynomials of \\axiom{\\spad{ps}} satisfying property \\axiom{pred?}.") (((|Union| (|Record| (|:| |bas| $) (|:| |top| (|List| |#4|))) "failed") (|List| |#4|) (|Mapping| (|Boolean|) |#4| |#4|)) "\\axiom{basicSet(\\spad{ps},{}redOp?)} returns \\axiom{[\\spad{bs},{}\\spad{ts}]} where \\axiom{concat(\\spad{bs},{}\\spad{ts})} is \\axiom{\\spad{ps}} and \\axiom{\\spad{bs}} is a basic set in Wu Wen Tsun sense of \\axiom{\\spad{ps}} \\spad{w}.\\spad{r}.\\spad{t} the reduction-test \\axiom{redOp?},{} if no non-zero constant polynomial lie in \\axiom{\\spad{ps}},{} otherwise \\axiom{\"failed\"} is returned.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1130 |Coef|) ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|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}."))) @@ -4470,7 +4470,7 @@ NIL NIL (-1135) ((|constructor| (NIL "The fundamental Type."))) -((-4103 . T)) +((-4102 . T)) NIL (-1136 S) ((|constructor| (NIL "Provides functions to force a partial ordering on any set.")) (|more?| (((|Boolean|) |#1| |#1|) "\\spad{more?(a,{} b)} compares \\spad{a} and \\spad{b} in the partial ordering induced by setOrder,{} and uses the ordering on \\spad{S} if \\spad{a} and \\spad{b} are not comparable in the partial ordering.")) (|userOrdered?| (((|Boolean|)) "\\spad{userOrdered?()} tests if the partial ordering induced by \\spadfunFrom{setOrder}{UserDefinedPartialOrdering} is not empty.")) (|largest| ((|#1| (|List| |#1|)) "\\spad{largest l} returns the largest element of \\spad{l} where the partial ordering induced by setOrder is completed into a total one by the ordering on \\spad{S}.") ((|#1| (|List| |#1|) (|Mapping| (|Boolean|) |#1| |#1|)) "\\spad{largest(l,{} fn)} returns the largest element of \\spad{l} where the partial ordering induced by setOrder is completed into a total one by \\spad{fn}.")) (|less?| (((|Boolean|) |#1| |#1| (|Mapping| (|Boolean|) |#1| |#1|)) "\\spad{less?(a,{} b,{} fn)} compares \\spad{a} and \\spad{b} in the partial ordering induced by setOrder,{} and returns \\spad{fn(a,{} b)} if \\spad{a} and \\spad{b} are not comparable in that ordering.") (((|Union| (|Boolean|) "failed") |#1| |#1|) "\\spad{less?(a,{} b)} compares \\spad{a} and \\spad{b} in the partial ordering induced by setOrder.")) (|getOrder| (((|Record| (|:| |low| (|List| |#1|)) (|:| |high| (|List| |#1|)))) "\\spad{getOrder()} returns \\spad{[[b1,{}...,{}bm],{} [a1,{}...,{}an]]} such that the partial ordering on \\spad{S} was given by \\spad{setOrder([b1,{}...,{}bm],{}[a1,{}...,{}an])}.")) (|setOrder| (((|Void|) (|List| |#1|) (|List| |#1|)) "\\spad{setOrder([b1,{}...,{}bm],{} [a1,{}...,{}an])} defines a partial ordering on \\spad{S} given \\spad{by:} \\indented{3}{(1)\\space{2}\\spad{b1 < b2 < ... < bm < a1 < a2 < ... < an}.} \\indented{3}{(2)\\space{2}\\spad{bj < c < \\spad{ai}}\\space{2}for \\spad{c} not among the \\spad{ai}\\spad{'s} and \\spad{bj}\\spad{'s}.} \\indented{3}{(3)\\space{2}undefined on \\spad{(c,{}d)} if neither is among the \\spad{ai}\\spad{'s},{}\\spad{bj}\\spad{'s}.}") (((|Void|) (|List| |#1|)) "\\spad{setOrder([a1,{}...,{}an])} defines a partial ordering on \\spad{S} given \\spad{by:} \\indented{3}{(1)\\space{2}\\spad{a1 < a2 < ... < an}.} \\indented{3}{(2)\\space{2}\\spad{b < \\spad{ai}\\space{3}for i = 1..n} and \\spad{b} not among the \\spad{ai}\\spad{'s}.} \\indented{3}{(3)\\space{2}undefined on \\spad{(b,{} c)} if neither is among the \\spad{ai}\\spad{'s}.}"))) @@ -4502,16 +4502,16 @@ NIL ((|HasCategory| |#2| (QUOTE (-344)))) (-1143 |Coef| UTS) ((|constructor| (NIL "This is a category of univariate Laurent series constructed from univariate Taylor series. A Laurent series is 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)}.")) (|taylorIfCan| (((|Union| |#2| "failed") $) "\\spad{taylorIfCan(f(x))} converts the Laurent series \\spad{f(x)} to a Taylor series,{} if possible. If this is not possible,{} \"failed\" is returned.")) (|taylor| ((|#2| $) "\\spad{taylor(f(x))} converts the Laurent series \\spad{f}(\\spad{x}) to a Taylor series,{} if possible. Error: if this is not possible.")) (|coerce| (($ |#2|) "\\spad{coerce(f(x))} converts the Taylor series \\spad{f(x)} to a Laurent series.")) (|removeZeroes| (($ (|Integer|) $) "\\spad{removeZeroes(n,{}f(x))} removes up to \\spad{n} leading zeroes from the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable.") (($ $) "\\spad{removeZeroes(f(x))} removes leading zeroes from the representation of the Laurent series \\spad{f(x)}. A Laurent series is represented by (1) an exponent and (2) a Taylor series which may have leading zero coefficients. When the Taylor series has a leading zero coefficient,{} the 'leading zero' is removed from the Laurent series as follows: the series is rewritten by increasing the exponent by 1 and dividing the Taylor series by its variable. Note: \\spad{removeZeroes(f)} removes all leading zeroes from \\spad{f}")) (|taylorRep| ((|#2| $) "\\spad{taylorRep(f(x))} returns \\spad{g(x)},{} where \\spad{f = x**n * g(x)} is represented by \\spad{[n,{}g(x)]}.")) 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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 @@ -4591,11 +4591,11 @@ NIL (-1165 |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)}."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4264 . T) (-4265 . T) (-4267 . T)) -((|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -2101) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) +((|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -3700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1166 |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.")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} returns the derivative of \\spad{f(x)} with respect to \\spad{x}.")) (|coerce| (($ (|Variable| |#2|)) "\\spad{coerce(var)} converts the series variable \\spad{var} into a Puiseux series."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4268 |has| |#1| (-344)) (-4262 |has| |#1| (-344)) (-4264 . T) (-4265 . T) (-4267 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -2101) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (|HasCategory| |#1| (QUOTE (-162))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530))) (|devaluate| |#1|)))) (|HasCategory| (-388 (-530)) (QUOTE (-1039))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-1450 (|HasCategory| |#1| (QUOTE (-344))) (|HasCategory| |#1| (QUOTE (-522)))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -388) (QUOTE (-530)))))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -3700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) (-1167 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) (((-4272 "*") |has| (-1166 |#2| |#3| |#4|) (-162)) (-4263 |has| (-1166 |#2| |#3| |#4|) (-522)) (-4264 . T) (-4265 . T) (-4267 . T)) @@ -4606,7 +4606,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4271))) (-1169 S) ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|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!| ((|#1| $ |#1|) "\\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| ((|#1| $ "last" |#1|) "\\spad{setelt(u,{}\"last\",{}x)} (also written: \\axiom{\\spad{u}.last \\spad{:=} \\spad{b}}) is equivalent to \\axiom{setlast!(\\spad{u},{}\\spad{v})}.") (($ $ "rest" $) "\\spad{setelt(u,{}\"rest\",{}v)} (also written: \\axiom{\\spad{u}.rest \\spad{:=} \\spad{v}}) is equivalent to \\axiom{setrest!(\\spad{u},{}\\spad{v})}.") ((|#1| $ "first" |#1|) "\\spad{setelt(u,{}\"first\",{}x)} (also written: \\axiom{\\spad{u}.first \\spad{:=} \\spad{x}}) is equivalent to \\axiom{setfirst!(\\spad{u},{}\\spad{x})}.")) (|setfirst!| ((|#1| $ |#1|) "\\spad{setfirst!(u,{}x)} destructively changes the first element of a to \\spad{x}.")) (|cycleSplit!| (($ $) "\\spad{cycleSplit!(u)} splits the aggregate by dropping off the cycle. The value returned is the cycle entry,{} or nil if none exists. For example,{} if \\axiom{\\spad{w} = concat(\\spad{u},{}\\spad{v})} is the cyclic list where \\spad{v} is the head of the cycle,{} \\axiom{cycleSplit!(\\spad{w})} will drop \\spad{v} off \\spad{w} thus destructively changing \\spad{w} to \\spad{u},{} and returning \\spad{v}.")) (|concat!| (($ $ |#1|) "\\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| ((|#1| $) "\\spad{third(u)} returns the third element of \\spad{u}. Note: \\axiom{third(\\spad{u}) = first(rest(rest(\\spad{u})))}.")) (|second| ((|#1| $) "\\spad{second(u)} returns the second element of \\spad{u}. Note: \\axiom{second(\\spad{u}) = first(rest(\\spad{u}))}.")) (|tail| (($ $) "\\spad{tail(u)} returns the last node of \\spad{u}. Note: if \\spad{u} is \\axiom{shallowlyMutable},{} \\axiom{setrest(tail(\\spad{u}),{}\\spad{v}) = concat(\\spad{u},{}\\spad{v})}.")) (|last| (($ $ (|NonNegativeInteger|)) "\\spad{last(u,{}n)} returns a copy of the last \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) nodes of \\spad{u}. Note: \\axiom{last(\\spad{u},{}\\spad{n})} is a list of \\spad{n} elements.") ((|#1| $) "\\spad{last(u)} resturn the last element of \\spad{u}. Note: for lists,{} \\axiom{last(\\spad{u}) = \\spad{u} . (maxIndex \\spad{u}) = \\spad{u} . (\\# \\spad{u} - 1)}.")) (|rest| (($ $ (|NonNegativeInteger|)) "\\spad{rest(u,{}n)} returns the \\axiom{\\spad{n}}th (\\spad{n} \\spad{>=} 0) node of \\spad{u}. Note: \\axiom{rest(\\spad{u},{}0) = \\spad{u}}.") (($ $) "\\spad{rest(u)} returns an aggregate consisting of all but the first element of \\spad{u} (equivalently,{} the next node of \\spad{u}).")) (|elt| ((|#1| $ "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}}.") ((|#1| $ "first") "\\spad{elt(u,{}\"first\")} (also written: \\axiom{\\spad{u} . first}) is equivalent to first \\spad{u}.")) (|first| (($ $ (|NonNegativeInteger|)) "\\spad{first(u,{}n)} returns a copy of the first \\spad{n} (\\axiom{\\spad{n} \\spad{>=} 0}) elements of \\spad{u}.") ((|#1| $) "\\spad{first(u)} returns the first element of \\spad{u} (equivalently,{} the value at the current node).")) (|concat| (($ |#1| $) "\\spad{concat(x,{}u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) -((-4103 . T)) +((-4102 . T)) NIL (-1170 |Coef1| |Coef2| UTS1 UTS2) ((|constructor| (NIL "Mapping package for univariate Taylor series. \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Taylor series.}")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(f,{}g(x))} applies the map \\spad{f} to the coefficients of \\indented{1}{the Taylor series \\spad{g(x)}.}"))) @@ -4615,7 +4615,7 @@ NIL (-1171 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-530)))) (|HasCategory| |#2| (QUOTE (-900))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasSignature| |#2| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -2101) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1099))))) (|HasCategory| |#2| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-344)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#2| (QUOTE (-900))) (|HasCategory| |#2| (QUOTE (-1121))) (|HasSignature| |#2| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3700) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1099))))) (|HasCategory| |#2| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#2| (QUOTE (-344)))) (-1172 |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."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4264 . T) (-4265 . T) (-4267 . T)) @@ -4623,7 +4623,7 @@ NIL (-1173 |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|) $) "\\spad{multisect(a,{}b,{}f(x))} selects the coefficients of \\indented{1}{\\spad{x^((a+b)*n+a)},{} and changes this monomial to \\spad{x^n}.}")) (|revert| (($ $) "\\spad{revert(f(x))} returns a Taylor series \\spad{g(x)} such that \\spad{f(g(x)) = g(f(x)) = x}. Series \\spad{f(x)} should have constant coefficient 0 and 1st order coefficient 1.")) (|generalLambert| (($ $ (|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| (($ $) "\\spad{evenlambert(f(x))} returns \\spad{f(x^2) + f(x^4) + f(x^6) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n))) = exp(log(evenlambert(f(x))))}.}")) (|oddlambert| (($ $) "\\spad{oddlambert(f(x))} returns \\spad{f(x) + f(x^3) + f(x^5) + ...}. \\indented{1}{\\spad{f(x)} should have a zero constant coefficient.} \\indented{1}{This function is used for computing infinite products.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n=1..infinity,{}f(x^(2*n-1)))=exp(log(oddlambert(f(x))))}.}")) (|lambert| (($ $) "\\spad{lambert(f(x))} returns \\spad{f(x) + f(x^2) + f(x^3) + ...}. \\indented{1}{This function is used for computing infinite products.} \\indented{1}{\\spad{f(x)} should have zero constant coefficient.} \\indented{1}{If \\spad{f(x)} is a Taylor series with constant term 1,{} then} \\indented{1}{\\spad{product(n = 1..infinity,{}f(x^n)) = exp(log(lambert(f(x))))}.}")) (|lagrange| (($ $) "\\spad{lagrange(g(x))} produces the Taylor series for \\spad{f(x)} \\indented{1}{where \\spad{f(x)} is implicitly defined as \\spad{f(x) = x*g(f(x))}.}")) (|differentiate| (($ $ (|Variable| |#2|)) "\\spad{differentiate(f(x),{}x)} computes the derivative of \\spad{f(x)} with respect to \\spad{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}."))) (((-4272 "*") |has| |#1| (-162)) (-4263 |has| |#1| (-522)) (-4264 . T) (-4265 . T) (-4267 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|)))) (|HasCategory| (-719) (QUOTE (-1039))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -2101) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2560) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasCategory| |#1| (QUOTE (-522))) (-1450 (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-522)))) (|HasCategory| |#1| (QUOTE (-162))) (|HasCategory| |#1| (QUOTE (-138))) (|HasCategory| |#1| (QUOTE (-140))) (-12 (|HasCategory| |#1| (LIST (QUOTE -841) (QUOTE (-1099)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|))))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-719)) (|devaluate| |#1|)))) (|HasCategory| (-719) (QUOTE (-1039))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasSignature| |#1| (LIST (QUOTE -2235) (LIST (|devaluate| |#1|) (QUOTE (-1099)))))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-719))))) (|HasCategory| |#1| (QUOTE (-344))) (-1450 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-530)))) (|HasCategory| |#1| (QUOTE (-900))) (|HasCategory| |#1| (QUOTE (-1121))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -388) (QUOTE (-530))))) (|HasSignature| |#1| (LIST (QUOTE -3700) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1099))))) (|HasSignature| |#1| (LIST (QUOTE -2562) (LIST (LIST (QUOTE -597) (QUOTE (-1099))) (|devaluate| |#1|))))))) (-1174 |Coef| UTS) ((|constructor| (NIL "\\indented{1}{This package provides Taylor series solutions to regular} linear or non-linear ordinary differential equations of arbitrary order.")) (|mpsode| (((|List| |#2|) (|List| |#1|) (|List| (|Mapping| |#2| (|List| |#2|)))) "\\spad{mpsode(r,{}f)} solves the system of differential equations \\spad{dy[i]/dx =f[i] [x,{}y[1],{}y[2],{}...,{}y[n]]},{} \\spad{y[i](a) = r[i]} for \\spad{i} in 1..\\spad{n}.")) (|ode| ((|#2| (|Mapping| |#2| (|List| |#2|)) (|List| |#1|)) "\\spad{ode(f,{}cl)} is the solution to \\spad{y<n>=f(y,{}y',{}..,{}y<n-1>)} such that \\spad{y<i>(a) = cl.i} for \\spad{i} in 1..\\spad{n}.")) (|ode2| ((|#2| (|Mapping| |#2| |#2| |#2|) |#1| |#1|) "\\spad{ode2(f,{}c0,{}c1)} is the solution to \\spad{y'' = f(y,{}y')} such that \\spad{y(a) = c0} and \\spad{y'(a) = c1}.")) (|ode1| ((|#2| (|Mapping| |#2| |#2|) |#1|) "\\spad{ode1(f,{}c)} is the solution to \\spad{y' = f(y)} such that \\spad{y(a) = c}.")) (|fixedPointExquo| ((|#2| |#2| |#2|) "\\spad{fixedPointExquo(f,{}g)} computes the exact quotient of \\spad{f} and \\spad{g} using a fixed point computation.")) (|stFuncN| (((|Mapping| (|Stream| |#1|) (|List| (|Stream| |#1|))) (|Mapping| |#2| (|List| |#2|))) "\\spad{stFuncN(f)} is a local function xported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc2| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2| |#2|)) "\\spad{stFunc2(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user.")) (|stFunc1| (((|Mapping| (|Stream| |#1|) (|Stream| |#1|)) (|Mapping| |#2| |#2|)) "\\spad{stFunc1(f)} is a local function exported due to compiler problem. This function is of no interest to the top-level user."))) NIL @@ -4634,7 +4634,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-522)))) (-1176) ((|constructor| (NIL "The category of domains that act like unions. UnionType,{} like Type or Category,{} acts mostly as a take that communicates `union-like' intended semantics to the compiler. A domain \\spad{D} that satifies UnionType should provide definitions for `case' operators,{} with corresponding `autoCoerce' operators."))) -((-4103 . T)) +((-4102 . T)) NIL (-1177 |sym|) ((|constructor| (NIL "This domain implements variables")) (|variable| (((|Symbol|)) "\\spad{variable()} returns the symbol")) (|coerce| (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol"))) @@ -4646,7 +4646,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-941))) (|HasCategory| |#2| (QUOTE (-984))) (|HasCategory| |#2| (QUOTE (-675))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-25)))) (-1179 R) ((|constructor| (NIL "\\spadtype{VectorCategory} represents the type of vector like objects,{} \\spadignore{i.e.} finite sequences indexed by some finite segment of the integers. The operations available on vectors depend on the structure of the underlying components. Many operations from the component domain are defined for vectors componentwise. It can by assumed that extraction or updating components can be done in constant time.")) (|magnitude| ((|#1| $) "\\spad{magnitude(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the length")) (|length| ((|#1| $) "\\spad{length(v)} computes the sqrt(dot(\\spad{v},{}\\spad{v})),{} \\spadignore{i.e.} the magnitude")) (|cross| (($ $ $) "vectorProduct(\\spad{u},{}\\spad{v}) constructs the cross product of \\spad{u} and \\spad{v}. Error: if \\spad{u} and \\spad{v} are not of length 3.")) (|outerProduct| (((|Matrix| |#1|) $ $) "\\spad{outerProduct(u,{}v)} constructs the matrix whose (\\spad{i},{}\\spad{j})\\spad{'}th element is \\spad{u}(\\spad{i})\\spad{*v}(\\spad{j}).")) (|dot| ((|#1| $ $) "\\spad{dot(x,{}y)} computes the inner product of the two vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.")) (* (($ $ |#1|) "\\spad{y * r} multiplies each component of the vector \\spad{y} by the element \\spad{r}.") (($ |#1| $) "\\spad{r * y} multiplies the element \\spad{r} times each component of the vector \\spad{y}.") (($ (|Integer|) $) "\\spad{n * y} multiplies each component of the vector \\spad{y} by the integer \\spad{n}.")) (- (($ $ $) "\\spad{x - y} returns the component-wise difference of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length.") (($ $) "\\spad{-x} negates all components of the vector \\spad{x}.")) (|zero| (($ (|NonNegativeInteger|)) "\\spad{zero(n)} creates a zero vector of length \\spad{n}.")) (+ (($ $ $) "\\spad{x + y} returns the component-wise sum of the vectors \\spad{x} and \\spad{y}. Error: if \\spad{x} and \\spad{y} are not of the same length."))) -((-4271 . T) (-4270 . T) (-4103 . T)) +((-4271 . T) (-4270 . T) (-4102 . T)) NIL (-1180 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}."))) diff --git a/src/share/algebra/category.daase b/src/share/algebra/category.daase index f09df49d..ed7c9091 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,5 +1,5 @@ -(143433 . 3429152928) +(143433 . 3429202594) (((|#2| |#2|) -12 (|has| |#2| (-291 |#2|)) (|has| |#2| (-1027))) ((#0=(-2 (|:| -2913 |#1|) (|:| -1782 |#2|)) #0#) |has| (-2 (|:| -2913 |#1|) (|:| -1782 |#2|)) (-291 (-2 (|:| -2913 |#1|) (|:| -1782 |#2|))))) (((|#2| |#2|) . T)) ((((-530)) . T)) diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index 24a70e1d..06965869 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3429152921) +(30 . 3429202587) (4273 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -461,650 +461,650 @@ |XPolynomialRing| |XRecursivePolynomial| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |powers| |minGbasis| |varselect| - |genericRightTraceForm| |merge| |head| |f04faf| |palgextint0| |f07aef| - |OMencodingXML| |zeroMatrix| |e04naf| |byte| |viewpoint| - |rightRankPolynomial| |atom?| |factorByRecursion| |coerceP| |submod| - |finite?| |withPredicates| |dom| |enqueue!| |linearDependence| - |curryLeft| |rowEchLocal| |conditionsForIdempotents| |polygamma| - |rightGcd| |set| |derivative| |karatsubaOnce| |decrease| |green| - |index?| |OMputFloat| |summation| |insertTop!| |roughBase?| |/\\| - |f01qdf| |clip| |stop| |conjug| |schema| |vark| |acothIfCan| - |meshFun2Var| |\\/| |topPredicate| |extendedSubResultantGcd| - |solveLinearlyOverQ| |mkcomm| |f04maf| |revert| |quasiRegular| |is?| - |expandTrigProducts| |shallowExpand| |legendre| |nthRoot| |qPot| - |reorder| |wrregime| |numericIfCan| |conical| |normal01| |cAcsch| - |removeSquaresIfCan| |component| |title| |colorFunction| - |basisOfCommutingElements| |messagePrint| |monomRDE| |mulmod| |lquo| - |charClass| |multiplyExponents| |compose| |numberOfComponents| - |divergence| |aromberg| |f2st| |ksec| |tanh2coth| |complexZeros| - |selectsecond| |OMgetEndBind| |setrest!| |belong?| |s14baf| |sort| - |quoted?| |palgint0| |semiResultantEuclideannaif| |df2st| |monomial?| - |e| |cothIfCan| |LyndonWordsList1| |goodnessOfFit| |concat!| |debug3D| - |child?| |setEpilogue!| |e01sff| |dihedralGroup| |subSet| |optpair| - |yellow| |numberOfFractionalTerms| |anticoord| |iitanh| |d01ajf| - |trapezoidalo| |setlast!| F |fmecg| |mr| |showClipRegion| - |knownInfBasis| |partialQuotients| |showSummary| |An| |lex| |imagK| - |show| |edf2ef| |light| |eigenvectors| |axesColorDefault| |iiperm| - |OMputInteger| |gradient| |linearlyDependent?| |mkPrim| - |transcendenceDegree| |sayLength| |primitivePart| |oddintegers| - |sumOfSquares| |setErrorBound| |newLine| |d02gaf| |showAttributes| - |random| |fortranLinkerArgs| |romberg| |trace| |quartic| |ldf2vmf| - |relationsIdeal| |commaSeparate| |exprToUPS| |ceiling| |pquo| |lift| - |zerosOf| |compactFraction| |radicalSolve| |expintfldpoly| - |monicLeftDivide| |tan2cot| |iisec| |getlo| UP2UTS |reduce| - |OMgetInteger| |tanQ| |int| |nthExpon| |mightHaveRoots| |separant| - |iicsc| |linkToFortran| |leftGcd| |exponentialOrder| |invertibleSet| - |putColorInfo| |monomialIntPoly| |selectOrPolynomials| |KrullNumber| 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|mainVariable?| - |setvalue!| |setDifference| |OMgetEndAttr| |fortranLiteralLine| - |numberOfChildren| |mainCoefficients| |char| |setref| |systemSizeIF| - |interpolate| |beauzamyBound| |midpoints| |setIntersection| - |setOfMinN| |powerSum| |cTanh| |lieAdmissible?| |reduceLODE| |e04dgf| - |semiSubResultantGcdEuclidean1| |rightRank| |compdegd| |setUnion| - |isobaric?| |bombieriNorm| |outputAsTex| |alternatingGroup| - |substring?| |d02bhf| |hdmpToDmp| |nilFactor| |startStats!| |lambert| - |denomLODE| |apply| |doubleFloatFormat| |absolutelyIrreducible?| - |firstUncouplingMatrix| |acscIfCan| |primes| |sort!| - |probablyZeroDim?| |viewThetaDefault| |cCsc| |setMaxPoints| - |modularFactor| |suffix?| |headReduce| |atanhIfCan| |moreAlgebraic?| - |resize| |LazardQuotient2| |float| |paraboloidal| |writable?| - |zeroDimensional?| |void| |squareTop| |ridHack1| |size| - |hyperelliptic| |generalPosition| |complexRoots| |typeLists| - |mkIntegral| |parabolicCylindrical| |reciprocalPolynomial| - |useEisensteinCriterion?| |quadraticNorm| |deleteProperty!| - |leadingTerm| |createIrreduciblePoly| |llprop| |prefix?| |csubst| - |eigenvalues| |sparsityIF| |univariate?| |distance| |generalTwoFactor| - |generalizedContinuumHypothesisAssumed?| |e01daf| - |oneDimensionalArray| |antiAssociative?| |graphs| |LiePoly| - |constantCoefficientRicDE| |addPointLast| |child| |checkRur| |delay| - |first| |mapDown!| |blue| |cAcos| |scan| |rightDivide| |s17akf| - |rightExtendedGcd| |elements| |open?| |viewWriteDefault| |rest| - |aLinear| |radPoly| |branchPoint?| |null| |mesh| |implies| - |replaceKthElement| |infiniteProduct| |extractProperty| - |stosePrepareSubResAlgo| |diagonalProduct| |innerEigenvectors| |mdeg| - |substitute| |determinant| |shellSort| |getGoodPrime| |prefixRagits| - |case| |leftUnit| |constantOpIfCan| |mathieu23| |permutations| - |movedPoints| |removeDuplicates| |key| |coefficients| |bezoutMatrix| - |unitNormal| |nullary| |Zero| |notelem| |resultantEuclideannaif| |xor| - |toroidal| |lazyPrem| |rarrow| |expandPower| |finiteBound| |exp1| - |cSec| |hasSolution?| |infix?| |One| |backOldPos| |idealiserMatrix| GE - |zeroOf| |central?| |randomLC| |e01baf| |filename| |unit?| |lintgcd| - |mask| |leftExtendedGcd| |interpretString| |normalElement| |c06ekf| GT - |leftAlternative?| |content| |d02cjf| |subQuasiComponent?| |not?| - |physicalLength!| |lexTriangular| |mindeg| |OMgetApp| |acosIfCan| LE - |e02zaf| |subscript| |const| |baseRDE| |parse| |laplacian| - |conditionP| |recolor| |viewPosDefault| |basisOfLeftAnnihilator| - |tab1| |semiDiscriminantEuclidean| LT |doubleRank| |weights| |rk4a| - |stoseInvertible?| |df2fi| |diophantineSystem| |clearTheIFTable| - |endOfFile?| |stoseSquareFreePart| |leftTraceMatrix| - |genericLeftDiscriminant| |bat1| |label| |OMgetEndError| - |relativeApprox| |symbolTable| |resetVariableOrder| |retractIfCan| - |singularitiesOf| |groebSolve| |structuralConstants| |fixedPointExquo| - |critB| |exprHasLogarithmicWeights| |ravel| |stirling2| |compBound| - |HenselLift| |unravel| |rational| |getDatabase| |dim| |usingTable?| - |OMputEndBind| |curveColor| |prepareDecompose| |reshape| |augment| - |pushFortranOutputStack| |permutationGroup| |doubleDisc| |nil?| - |coth2trigh| |dot| |e01bgf| |rCoord| |euclideanSize| - |curveColorPalette| |integral?| |popFortranOutputStack| |cosIfCan| - |triangular?| |lazyPseudoDivide| |purelyAlgebraicLeadingMonomial?| - |string| |collectUnder| |pointPlot| |SturmHabichtCoefficients| - |ScanArabic| |rightTraceMatrix| |tableForDiscreteLogarithm| - |univariatePolynomials| |commutator| |crest| |preprocess| - |outputAsFortran| |shanksDiscLogAlgorithm| |Frobenius| |triangulate| - |failed?| |listexp| |noncommutativeJordanAlgebra?| |setImagSteps| - |fixedPoints| |bit?| |coefficient| |weakBiRank| |useNagFunctions| - |selectFiniteRoutines| |c02aff| |getBadValues| - |ScanFloatIgnoreSpacesIfCan| |lexico| |rowEchelon| |iicos| |digits| - |wreath| |points| |distdfact| |square?| |mapMatrixIfCan| |binomial| - |extension| |setPredicates| |nextLatticePermutation| |update| - |toScale| |iiasin| |polarCoordinates| |expenseOfEvaluationIF| - |showTypeInOutput| |supersub| |intcompBasis| |nextColeman| |f01rdf| - |certainlySubVariety?| |symbolIfCan| |flexibleArray| |reverse!| - |charpol| |OMcloseConn| |mantissa| |position!| |graphImage| - |insertBottom!| |headRemainder| |polynomialZeros| |root?| - |OMUnknownSymbol?| |factorList| |cot2tan| |shufflein| |LazardQuotient| - |map| |principal?| |critMonD1| |enumerate| |readLineIfCan!| - |shiftRoots| |prime| |hexDigit?| |exQuo| |gderiv| |write!| |e01bff| - |integerBound| |abelianGroup| |prindINFO| |karatsuba| |OMreadStr| - |FormatArabic| |rename| |partitions| |stoseInvertibleSet| |palgLODE0| - |lexGroebner| |tryFunctionalDecomposition?| |string?| |primlimintfrac| - |cycle| |cyclic?| |putGraph| |hasPredicate?| |shallowCopy| - |makeViewport3D| |rootKerSimp| |indices| |sdf2lst| - |discriminantEuclidean| |truncate| |second| |viewZoomDefault| - |maximumExponent| |cycleTail| |iicot| |printStatement| |hue| |top!| - |normalise| |iiasinh| |leadingExponent| |ParCondList| |baseRDEsys| - |third| |tan2trig| |denominator| |corrPoly| |symmetricRemainder| - |csc2sin| |padicallyExpand| |rewriteIdealWithRemainder| |convert| - |seriesSolve| |inverseIntegralMatrixAtInfinity| |operator| - |modularGcd| |f04adf| |iteratedInitials| |script| |constant?| - |bringDown| |normalForm| |radix| |list?| |tubePoints| |resetBadValues| - |gethi| |loopPoints| |rightMinimalPolynomial| |subResultantChain| - |sylvesterMatrix| |extract!| |signAround| |normFactors| |cscIfCan| - |interpret| |vector| |binary| |c05nbf| |keys| |hcrf| |nullity| |color| - |OMputAttr| |ipow| |halfExtendedResultant2| |associatorDependence| - |nullSpace| |slash| |differentiate| |balancedFactorisation| |quotient| - |getStream| |whatInfinity| |resultantEuclidean| |tex| - |pseudoRemainder| |rischDEsys| |matrixGcd| |solveInField| |nand| - |safeFloor| |read!| |removeRedundantFactorsInPols| |jordanAdmissible?| - |refine| |resetNew| |outputForm| |cap| |moebius| - |completeEchelonBasis| |multMonom| |e02dcf| |Nul| |entry?| |f01maf| - |s21bcf| |rk4qc| |nextPartition| |solveRetract| |bezoutDiscriminant| - |resultantnaif| |compiledFunction| |s17agf| |cylindrical| - |setFieldInfo| |cCot| |removeRoughlyRedundantFactorsInPols| - |OMlistSymbols| |rightExactQuotient| |constantOperator| - |sortConstraints| |prepareSubResAlgo| |tubeRadius| |pdct| - |trailingCoefficient| |totolex| |myDegree| |e04ycf| |swapRows!| - |moduloP| |key?| |omError| |ScanFloatIgnoreSpaces| |showAllElements| - |s18aff| |debug| |critBonD| |asinIfCan| |unitCanonical| - |commutativeEquality| |normalDenom| |boundOfCauchy| |iidprod| - |spherical| |multiEuclidean| |prod| |sech2cosh| D - |integralDerivationMatrix| |insertMatch| |LyndonCoordinates| - |choosemon| |selectMultiDimensionalRoutines| |addiag| |explogs2trigs| - |iifact| |selectNonFiniteRoutines| |option?| |f01rcf| |has?| - |highCommonTerms| |rightUnit| |regularRepresentation| |kroneckerDelta| - |normalDeriv| |kovacic| |adaptive| |member?| |iExquo| |power!| - |whileLoop| |terms| |credPol| |leftRemainder| |algebraicVariables| - |parent| |reduceByQuasiMonic| |numberOfComputedEntries| - |normalizedDivide| |computeInt| |forLoop| |one?| |mapExponents| - |d01apf| |OMputString| |evaluateInverse| |coerceS| |leftExactQuotient| - |true| |simplifyLog| |palgLODE| |taylorIfCan| |leftZero| |split| - |nextPrimitivePoly| |bfKeys| |complex?| |numberOfDivisors| - |internalZeroSetSplit| |monomials| |gcdPrimitive| |and| |brace| - |leftRegularRepresentation| |c06gbf| |completeSmith| - |HermiteIntegrate| |e04gcf| |iisin| |OMgetBind| - |numericalOptimization| |setScreenResolution3D| |modifyPoint| - |difference| |leaves| |algebraicSort| |linearMatrix| |normalize| - |s15adf| |quasiMonicPolynomials| |wordsForStrongGenerators| |lp| - |null?| |enterPointData| |irreducible?| |mapExpon| |iisech| - |primintegrate| |rombergo| |roughBasicSet| |exponential| |components| - |subtractIfCan| |polygon| |cAcosh| |generalLambert| |setTex!| - |branchPointAtInfinity?| |f01brf| |topFortranOutputStack| - |roughEqualIdeals?| |composite| |s17ajf| |clikeUniv| |algint| - |setStatus| |value| |numberOfNormalPoly| |hMonic| |OMgetEndObject| - |accuracyIF| |float?| |factorFraction| |perfectSquare?| - |separateFactors| |computePowers| |listOfLists| |sum| |viewport2D| - |elColumn2!| |stoseInvertible?reg| |iipow| |showTheIFTable| - |listRepresentation| |parabolic| |packageCall| |mainKernel| |atoms| - |dihedral| |and?| |stopTableInvSet!| |isMult| |evenInfiniteProduct| - |factorGroebnerBasis| |subspace| |qelt| |countRealRootsMultiple| - |complexExpand| |getGraph| |computeCycleLength| |bernoulli| - |semiLastSubResultantEuclidean| |radicalRoots| |closeComponent| - |quotedOperators| |createRandomElement| |getIdentifier| - |showTheRoutinesTable| |minPoly| |OMmakeConn| |getMeasure| - |powerAssociative?| |makeTerm| |df2mf| |leftScalarTimes!| |isTimes| - |hexDigit| |repeating| |univcase| |xRange| |palglimint0| - |RittWuCompare| |setClosed| |OMreceive| |leftLcm| |e01sbf| - |stronglyReduced?| |rischNormalize| |halfExtendedResultant1| |yRange| - |slex| |callForm?| |f04jgf| RF2UTS |wholeRadix| |stopTable!| |deref| - |superscript| |partialNumerators| |drawStyle| |realEigenvalues| - |zRange| |Ci| |quatern| |Aleph| |modTree| |finiteBasis| - |incrementKthElement| |setPrologue!| |concat| |map!| |viewDefaults| - |besselI| |viewPhiDefault| |recur| |factorSFBRlcUnit| - |stiffnessAndStabilityFactor| |changeName| |makeResult| |e02daf| - |mapdiv| |polar| |qsetelt!| |dAndcExp| |normDeriv2| |droot| - |critpOrder| |listConjugateBases| |maxPoints3D| |gramschmidt| - |UpTriBddDenomInv| |viewDeltaYDefault| |sqfrFactor| |isPlus| - |monicDecomposeIfCan| |stirling1| |nextsubResultant2| |mapBivariate| - |maxIndex| |semiSubResultantGcdEuclidean2| |sizeMultiplication| - |innerSolve| |id| |elRow2!| |s18adf| |addPoint2| |trueEqual| |s01eaf| - |fi2df| |degreeSubResultant| |simplifyExp| |upperCase?| |leadingIdeal| - |collect| |nativeModuleExtension| |squareFree| |LagrangeInterpolation| - |changeMeasure| |uncouplingMatrices| |equiv| |skewSFunction| - |useSingleFactorBound| |allRootsOf| |table| |asimpson| |nthFactor| - |d01gbf| |internalDecompose| |univariatePolynomial| |besselY| - |extractClosed| |createNormalPoly| |e02ajf| |duplicates?| |s19abf| - |acsch| |new| |chiSquare1| |root| |hitherPlane| |exprToGenUPS| |imagE| - |setVariableOrder| |satisfy?| |partialFraction| |OMputApp| - |functionIsFracPolynomial?| |showTheSymbolTable| |create| - |fortranDoubleComplex| |exquo| |reindex| |frobenius| - |cyclotomicFactorization| |range| |currentEnv| |jordanAlgebra?| - |fortranComplex| |aCubic| |setClipValue| |getProperties| |div| - |setleaves!| |updatD| |laplace| |perspective| |setProperty!| |mapGen| - |leftPower| |rdHack1| |rangePascalTriangle| |copy!| |quo| - |pointColorPalette| |inGroundField?| |OMencodingUnknown| |prem| - |size?| |imagi| |cosSinInfo| |rightZero| |internalIntegrate0| |hclf| - |orbit| |pmintegrate| |mpsode| |returnTypeOf| |nextNormalPoly| - |laguerre| |linSolve| |UP2ifCan| |tanh2trigh| |rem| |move| - |var2StepsDefault| |realElementary| |imagJ| |fractRadix| |Gamma| - |printCode| |e01saf| |maxrow| |lyndon?| |dmp2rfi| |diagonals| - |singRicDE| |weight| |dflist| |isExpt| |symmetric?| |symbol?| - |squareFreeFactors| |complementaryBasis| |matrixConcat3D| - |monicModulo| |selectPolynomials| |unmakeSUP| |infix| - |decreasePrecision| |cyclePartition| - |removeRedundantFactorsInContents| |noLinearFactor?| |makeSin| - |integralAtInfinity?| |OMopenFile| |extractIndex| |innerSolve1| - |doubleComplex?| |setButtonValue| |leadingCoefficientRicDE| |fortran| - |rootBound| |insertRoot!| |roman| |left| |sin2csc| |removeSinSq| - |andOperands| |cAcoth| |bandedJacobian| |connect| |permanent| - |rangeIsFinite| |SturmHabichtMultiple| |computeCycleEntry| |right| - |printInfo!| |adaptive3D?| |gcdPolynomial| |realZeros| - |selectODEIVPRoutines| |copies| |exactQuotient| - |unrankImproperPartitions1| |coshIfCan| |generalizedEigenvectors| - |ODESolve| |tanintegrate| |shiftRight| |element?| |mindegTerm| - |setStatus!| |even?| |argumentList!| |logIfCan| |init| |moduleSum| - |BumInSepFFE| |leftQuotient| |cCoth| |wordInGenerators| |parts| - |monomRDEsys| |karatsubaDivide| |rightMult| |replace| |getCurve| - |s17dcf| |explicitlyFinite?| |extendIfCan| |irreducibleFactor| - |lineColorDefault| |internal?| |realEigenvectors| |e04jaf| |f04asf| - |not| |antiCommutative?| |initials| |limitPlus| |approximants| |Is| - |deleteRoutine!| |curry| |tubePointsDefault| |s21bdf| |over| - |permutation| |lfextlimint| |rdregime| |linearlyDependentOverZ?| - |startPolynomial| |hermite| |quadratic| |logpart| |rootPoly| - |blankSeparate| |gcdcofact| |fTable| |rightScalarTimes!| |octon| - |unvectorise| |varList| |diff| |rules| |shuffle| |center| - |integralRepresents| |ocf2ocdf| |iiGamma| |pdf2ef| |companionBlocks| - |external?| |semiResultantReduitEuclidean| |transcendent?| |low| - |pushup| |fibonacci| |createNormalPrimitivePoly| |mvar| - |rootNormalize| |s14aaf| |purelyTranscendental?| |magnitude| - |complexNumericIfCan| |decomposeFunc| |latex| |symmetricProduct| - |algSplitSimple| |leftMinimalPolynomial| |lowerCase?| |presuper| - |c06fpf| |e02aef| |s17adf| |zero?| |lazyResidueClass| |e02baf| - |elementary| |argument| |exprex| |acoshIfCan| |column| - |clearTheSymbolTable| |real?| |symbol| |createThreeSpace| |unitVector| - |fixPredicate| |nthRootIfCan| |maxRowIndex| |match?| - |exprHasWeightCosWXorSinWX| |numberOfImproperPartitions| - |primaryDecomp| |generic?| |solveLinearPolynomialEquationByFractions| - |multisect| |d01aqf| |alphabetic| |symmetricTensors| - |rationalFunction| |logical?| |constantRight| |split!| |swapColumns!| - |vspace| |integer| |diagonal| |bitior| |imagk| |consnewpol| ** - |solid?| |region| |makeCrit| |minColIndex| |plus!| |mapSolve| - |decompose| |defineProperty| |figureUnits| |vconcat| |lflimitedint| - |algebraicCoefficients?| |generalizedContinuumHypothesisAssumed| - |drawComplexVectorField| |laguerreL| |getZechTable| |d03eef| - |associates?| |squareMatrix| |ode2| |transform| - |squareFreeLexTriangular| |initiallyReduced?| |zeroSquareMatrix| - |factorsOfCyclicGroupSize| |duplicates| |cyclicEqual?| |s17dgf| EQ - |representationType| |infieldint| |overlabel| |badNum| |iiacsch| - |OMputEndAtp| |basisOfRightAnnihilator| |palgRDE0| |repSq| |modulus| - |conjugates| |rationalPower| |objects| |setAdaptive3D| - |nonSingularModel| |zeroDimPrime?| |inc| |asechIfCan| |solve1| - |ignore?| |push!| |scalarTypeOf| |fill!| |makeGraphImage| |readIfCan!| - |base| |laurentIfCan| |cRationalPower| |intermediateResultsIF| - |splitSquarefree| |stiffnessAndStabilityOfODEIF| |basisOfLeftNucloid| - |collectQuasiMonic| |genericRightNorm| |firstSubsetGray| - |getMultiplicationMatrix| |toseLastSubResultant| |complement| - |integralMatrixAtInfinity| |pascalTriangle| |seriesToOutputForm| - |bottom!| |plus| |dmpToHdmp| SEGMENT |setPoly| |newTypeLists| - |safeCeiling| |psolve| |genericLeftMinimalPolynomial| |prefix| - |clearDenominator| |edf2efi| |adaptive?| |red| |supRittWu?| - |checkForZero| |createPrimitivePoly| |OMconnOutDevice| |prime?| - |dictionary| |squareFreePolynomial| |removeCosSq| |initiallyReduce| - |test| |denominators| |expenseOfEvaluation| |expintegrate| - |plenaryPower| |c06fqf| |triangSolve| |nextSubsetGray| |realSolve| - |entries| |more?| |startTableGcd!| |fglmIfCan| |reducedDiscriminant| - |s17aef| |secIfCan| |frst| |simpson| |showRegion| |normalizeIfCan| - |f01qef| |stack| |listBranches| |rationalPoints| |cAtanh| |uniform| - |times| |coercePreimagesImages| |lastSubResultant| - |inverseIntegralMatrix| |directSum| |nthFlag| - |initializeGroupForWordProblem| |ldf2lst| |maxdeg| - |leastAffineMultiple| |every?| |rightUnits| |aQuadratic| |rk4f| - |OMgetEndAtp| |name| |chebyshevT| |wronskianMatrix| |OMputSymbol| - |monicCompleteDecompose| |error| |rootSplit| |pointLists| |f02fjf| - |rewriteSetByReducingWithParticularGenerators| |f02aaf| |aspFilename| - |body| |cot2trig| |scripted?| |reducedForm| |leftDiscriminant| - |assert| |clearFortranOutputStack| |merge!| |cAsinh| |e01bef| - |intChoose| |collectUpper| |optimize| |mergeDifference| - |bandedHessian| |e02dff| |semiResultantEuclidean2| |cAcsc| |s19acf| - |rewriteIdealWithQuasiMonicGenerators| |pushNewContour| |monom| - |subCase?| |postfix| |lfunc| |linearAssociatedOrder| |factors| |node?| - |bitTruth| |nullary?| |integralLastSubResultant| |expPot| - |toseSquareFreePart| |qqq| |trivialIdeal?| |previous| |f02aef| - |rootsOf| |escape| |bubbleSort!| |stopTableGcd!| |graphStates| - |exptMod| |numericalIntegration| |saturate| |basicSet| |polyred| - |expr| |ratDsolve| |alphanumeric| |rotate!| |arg1| |cartesian| - |rightLcm| |common| |createMultiplicationTable| |fullDisplay| - |possiblyNewVariety?| |nextsousResultant2| |argscript| |pushdterm| - |lllip| |arg2| |box| |htrigs| |elRow1!| |ScanRoman| |rst| |leftDivide| - |OMputEndObject| |lifting| |solveLinearPolynomialEquationByRecursion| - |represents| |dark| |complexIntegrate| |zCoord| |tanAn| |multiset| - |wholePart| |OMwrite| |OMunhandledSymbol| |ramifiedAtInfinity?| - |euler| |primextintfrac| |complexLimit| |f02bbf| |linearPart| - |deepestTail| |fortranLogical| |bivariatePolynomials| - |getMultiplicationTable| |primitive?| |outputFloating| |divide| - |variable| |f02awf| |setValue!| |overbar| |horizConcat| - |updateStatus!| |subresultantVector| |unexpand| |rightRemainder| - |iiexp| |c06eaf| |makeViewport2D| |algebraicOf| |zeroDimPrimary?| - |ratpart| |sub| |sequences| |particularSolution| |factorAndSplit| - |restorePrecision| |rationalApproximation| |linear| |leftOne| |cAsin| - |insert| |failed| |cotIfCan| |minimumDegree| |scale| |leftRecip| - |screenResolution3D| |totalGroebner| |bindings| |redPo| - |multiEuclideanTree| |standardBasisOfCyclicSubmodule| |formula| - |relerror| |internalSubPolSet?| |zag| |sqfree| |t| |power| |diagonal?| - |bitLength| |polynomial| |euclideanNormalForm| |s18def| |inspect| - |next| |ReduceOrder| |poisson| |cosh2sech| |getVariableOrder| - |att2Result| |leftUnits| |f02adf| |cubic| |digit?| - |definingPolynomial| |errorKind| |less?| |space| |expandLog| |d01akf| - |flatten| |Ei| |twist| |printTypes| |drawComplex| |euclideanGroebner| - |generalInfiniteProduct| |cn| |interReduce| |singleFactorBound| - |drawCurves| |oblateSpheroidal| |s18acf| |schwerpunkt| - |antiCommutator| |makeUnit| |nrows| |orbits| - |semiIndiceSubResultantEuclidean| |queue| |countRealRoots| |ratPoly| - |numberOfPrimitivePoly| |point| |OMgetType| |ref| |splitLinear| - |fractionPart| |mapUp!| |ncols| |heapSort| |directory| - |rightDiscriminant| |f04atf| |stoseInvertibleSetreg| |sign| |eval| - |iisqrt3| |roughSubIdeal?| |isQuotient| |lazyPremWithDefault| - |interval| |nil| |reverse| |makingStats?| |setleft!| |repeating?| - |shade| |eyeDistance| |f02ajf| |close!| |getOperator| |torsion?| - |palgextint| |nor| |OMputEndApp| |vectorise| |algebraic?| - |sumOfDivisors| |series| |associatedSystem| |shrinkable| |lookup| - |term| Y |minPol| |degreePartition| |palgintegrate| |setMaxPoints3D| - |perfectNthRoot| |hconcat| |coerceListOfPairs| |f02axf| - |semiResultantEuclidean1| |OMputEndBVar| |conjugate| |approximate| - |localUnquote| |cCsch| |stronglyReduce| |printInfo| |bracket| - |firstDenom| |op| |deriv| |complex| |palgint| |extendedEuclidean| - |addPoint| |systemCommand| |cSinh| |quadraticForm| |lfextendedint| - |pade| |sumSquares| |dimensionsOf| |height| |updatF| |inHallBasis?| - |zeroVector| |e02def| |powern| |rootPower| |domainOf| - |splitDenominator| |min| |parametersOf| |chainSubResultants| - |currentCategoryFrame| |fortranCharacter| |linearDependenceOverZ| - |simplifyPower| |OMreadFile| |iiacsc| |parametric?| |lyndon| - |outerProduct| |viewWriteAvailable| |high| |hasHi| - |bipolarCylindrical| |firstNumer| |normal| |linearPolynomials| - |getOperands| |identityMatrix| |OMputBind| - |indicialEquationAtInfinity| |brillhartTrials| |minrank| |hermiteH| - |trace2PowMod| |OMconnInDevice| |factorials| |diag| |setTopPredicate| - |hasTopPredicate?| |generalizedInverse| |mesh?| |resultant| |graeffe| - |prevPrime| |outputMeasure| |coefChoose| |union| |mirror| |prinshINFO| - |c06frf| |shift| |indiceSubResultant| |groebner?| |mapUnivariate| - |sturmSequence| |imaginary| |coord| |cAcot| |nlde| |numeric| |nodeOf?| - |cycleEntry| |depth| |OMencodingBinary| |getSyntaxFormsFromFile| - |dequeue!| |ratDenom| |iCompose| |radical| |generalizedEigenvector| - |indiceSubResultantEuclidean| |input| |create3Space| |surface| - |closedCurve| |coordinate| |closedCurve?| |countable?| - |isAbsolutelyIrreducible?| |getConstant| |d01anf| |options| - |setProperties| |perfectSqrt| |library| |matrixDimensions| |mainValue| - |startTableInvSet!| |genericLeftTraceForm| |smith| |associative?| - |stopMusserTrials| |nil| |infinite| |arbitraryExponent| |approximate| - |complex| |shallowMutable| |canonical| |noetherian| |central| + |Record| |Union| |fortranCompilerName| |rightNorm| |dAndcExp| + |generalizedInverse| |denominator| |perfectNthPower?| |nary?| + |factor1| |leftRankPolynomial| |normDeriv2| |corrPoly| |mesh?| + |headAst| |typeList| |makeCrit| |changeThreshhold| |pushdown| |droot| + |f07fdf| |symmetricRemainder| |resultant| |dom| |e02adf| |jacobian| + |c06gqf| |minColIndex| |critpOrder| |rootOf| |s13aaf| |set| |graeffe| + |csc2sin| |factorial| |setprevious!| |plus!| |minPoints3D| + |listConjugateBases| |splitConstant| |setMinPoints3D| |/\\| + |fortranLiteral| |stop| |realRoots| |indicialEquation| |mapSolve| + |createPrimitiveNormalPoly| |nextSublist| |maxPoints3D| |\\/| + |univariatePolynomials| |drawCurves| |extensionDegree| |decimal| + |radicalEigenvectors| |decompose| |subNode?| |gramschmidt| + |numberOfComposites| |oblateSpheroidal| |commutator| + |numberOfVariables| |insertionSort!| |binding| |defineProperty| + |chebyshevU| |lieAlgebra?| |UpTriBddDenomInv| |s18acf| |crest| + |f02aff| |title| |mat| |swap| |figureUnits| |intersect| |hspace| + |viewDeltaYDefault| |schwerpunkt| |preprocess| |sincos| + |newSubProgram| |cAsec| |vconcat| |doubleResultant| |sqfrFactor| + |normalized?| |shanksDiscLogAlgorithm| |antiCommutator| |e02bcf| + |removeCoshSq| |rotatez| |lflimitedint| |sort| |stFuncN| |minIndex| + |isPlus| |makeUnit| |Frobenius| |e| |removeRedundantFactors| |isPower| + |minRowIndex| |algebraicCoefficients?| |evaluate| + |monicDecomposeIfCan| |monicDivide| |triangulate| |orbits| |shiftLeft| + |primeFrobenius| |generalizedContinuumHypothesisAssumed| + |characteristic| |linGenPos| |stirling1| |triangularSystems| |failed?| + |semiIndiceSubResultantEuclidean| F |viewport3D| |diagonalMatrix| |mr| + |makeSketch| |drawComplexVectorField| |showSummary| + |patternMatchTimes| |screenResolution| |nextsubResultant2| |show| + |listexp| |queue| |minimize| |maxPoints| |style| |laguerreL| + |summation| |s17ahf| |mapBivariate| |var1StepsDefault| + |noncommutativeJordanAlgebra?| |countRealRoots| |imagj| + |createLowComplexityNormalBasis| |getZechTable| |makeCos| |insertTop!| + |showAttributes| |random| |maxIndex| |characteristicPolynomial| + |trace| |extractPoint| |ratPoly| |setImagSteps| |var1Steps| |testDim| + |d03eef| |qroot| |lift| |stFunc1| |semiSubResultantGcdEuclidean2| + |deepCopy| |numberOfPrimitivePoly| |fixedPoints| |dimensions| + |delete!| |associates?| |variationOfParameters| |reduce| |clipBoolean| + |sizeMultiplication| |stFunc2| |bit?| |OMgetType| |basisOfNucleus| + |virtualDegree| |yCoordinates| |squareMatrix| |iicoth| + |factorsOfDegree| |innerSolve| |f04faf| |ref| |coefficient| + |positiveRemainder| |universe| |readable?| |ode2| + |rightFactorCandidate| |elRow2!| |implies?| |weakBiRank| |splitLinear| + |zoom| |untab| |transform| |pile| |palgextint0| |leaf?| |s18adf| + |divideIfCan| |useNagFunctions| |fractionPart| + |createLowComplexityTable| |colorDef| |squareFreeLexTriangular| |Si| + |noKaratsuba| |getCode| |addPoint2| |mapUp!| |selectFiniteRoutines| + |trim| |PollardSmallFactor| |logGamma| |initiallyReduced?| |OMputBVar| + |trueEqual| |pow| |heapSort| |c02aff| |tablePow| |leadingSupport| + |zeroSquareMatrix| |genericRightTrace| |width| |s01eaf| + |unprotectedRemoveRedundantFactors| |orOperands| NOT + |rightDiscriminant| |getBadValues| |inverseColeman| |maxrank| + |factorsOfCyclicGroupSize| |c06fuf| |problemPoints| GF2FG |fi2df| OR + |f04atf| |ScanFloatIgnoreSpacesIfCan| |squareFreePrim| + |separateDegrees| |duplicates| |OMopenString| |resetAttributeButtons| + |degreeSubResultant| |front| AND |lexico| |stoseInvertibleSetreg| + |plusInfinity| |lhs| |modularGcdPrimitive| |midpoint| |returnType!| + |cyclicEqual?| |elliptic| |fixedDivisor| |simplifyExp| |rowEchelon| + |sign| |minusInfinity| |rhs| |f04arf| |acotIfCan| |f01ref| |s17dgf| + |supDimElseRittWu?| |upperCase?| |e01bhf| |iisqrt3| |iicos| + |OMgetFloat| |invertIfCan| |representationType| |lazyEvaluate| + |numberOfIrreduciblePoly| |zero| |leadingIdeal| |e04ucf| |digits| + |roughSubIdeal?| |OMgetError| |numberOfCycles| |infieldint| + |complexNormalize| |optional| |solveLinearPolynomialEquation| + |collect| |removeIrreducibleRedundantFactors| |wreath| + |lazyPremWithDefault| |makeEq| |constDsolve| |overlabel| + |zeroSetSplitIntoTriangularSystems| |setright!| |And| + |nativeModuleExtension| |cross| |interval| |points| |e04fdf| + |contract| |badNum| |leastMonomial| |node| |Or| |cycles| + |changeWeightLevel| |squareFree| |distdfact| |makingStats?| |c06gcf| + |ptFunc| |iiacsch| |s21bbf| |Not| |paren| |LagrangeInterpolation| + |irreducibleFactors| |setleft!| |square?| |type| |atanIfCan| |sin?| + |objectOf| |OMputEndAtp| |irreducibleRepresentation| |unitNormalize| + |changeMeasure| |mapMatrixIfCan| |repeating?| |rootProduct| |invmod| + |basisOfRightAnnihilator| |testModulus| |uncouplingMatrices| + |contours| |asinhIfCan| * |shade| |binomial| |d01gaf| |maxColIndex| + |palgRDE0| |radicalEigenvector| |setFormula!| |push| |equiv| + |extension| |eyeDistance| |top| |elliptic?| |integralBasisAtInfinity| + |repSq| |variable?| |setPosition| |skewSFunction| |ffactor| |print| + |f02ajf| |setPredicates| |continue| |iiacoth| |pop!| |modulus| + |sts2stst| |datalist| |sizePascalTriangle| |useSingleFactorBound| + |infRittWu?| |close!| |nextLatticePermutation| |e02bef| |ef2edf| + |conjugates| |dimension| |chvar| |GospersMethod| |allRootsOf| + |toScale| |getOperator| |pToDmp| |kmax| |rowEchelonLocal| |tree| + |rationalPower| |cons| |iiasin| |numberOfOperations| |approxSqrt| + |asimpson| |torsion?| |lex| |sup| |expint| |rightRecip| + |setAdaptive3D| |polarCoordinates| |phiCoord| |normalizedAssociate| + |nthFactor| |palgextint| |imagK| |linears| |polygon?| + |nonSingularModel| |complexEigenvectors| |nor| |solid| |addmod| + |d01gbf| |expenseOfEvaluationIF| |edf2ef| |randnum| |term?| |level| + |zeroDimPrime?| |pol| |equation| |showTypeInOutput| |divideExponents| + |leastPower| |internalDecompose| |OMputEndApp| |light| + |unrankImproperPartitions0| |lowerCase!| |f2df| |asechIfCan| |d01asf| + |withPredicates| |palgRDE| |univariatePolynomial| |supersub| + |vectorise| |unaryFunction| |solve1| |mainSquareFreePart| + |findBinding| |enqueue!| |returns| |besselY| |intcompBasis| + |algebraic?| |radicalEigenvalues| |bipolar| |ignore?| |divergence| + |source| |combineFeatureCompatibility| |s20acf| |dec| |extractClosed| + |sumOfDivisors| |nextColeman| |extendedIntegrate| |lazyPquo| |push!| + |aromberg| |rightQuotient| |createNormalPoly| F2FG |associatedSystem| + |f01rdf| |traceMatrix| |scalarTypeOf| |showAll?| |e02ajf| |janko2| + |shrinkable| |certainlySubVariety?| |s17aff| |infinityNorm| |fill!| + |find| |duplicates?| |commonDenominator| |lookup| |symbolIfCan| + |exponents| |makeGraphImage| |OMputError| |rroot| |s19abf| |getOrder| + |flexibleArray| |term| |bright| |drawToScale| |createGenericMatrix| + |readIfCan!| |target| |lfintegrate| |chiSquare1| |mainContent| + |minPol| |reverse!| |numberOfHues| |laurentIfCan| |addMatchRestricted| + |curryRight| |root| |degreePartition| |charpol| + |univariatePolynomialsGcds| |specialTrigs| |cRationalPower| + |inconsistent?| |solve| |hitherPlane| |palgintegrate| |OMcloseConn| + |meshPar2Var| |intermediateResultsIF| |genericPosition| + |removeSuperfluousQuasiComponents| |max| |exprToGenUPS| + |useEisensteinCriterion| |property| |position!| |setMaxPoints3D| + |patternMatch| |splitSquarefree| |OMgetObject| |empty?| |precision| + |graphImage| |perfectNthRoot| |getButtonValue| + |stiffnessAndStabilityOfODEIF| |trunc| |computeCycleLength| |comp| + |binaryFunction| |adjoint| |selectsecond| |insertBottom!| |hconcat| + |delete| |totalfract| |basisOfLeftNucloid| |invmultisect| + |alphanumeric?| |bernoulli| |seed| |result| |units| + |coerceListOfPairs| |headRemainder| |rectangularMatrix| + |setProperties!| |collectQuasiMonic| |upperCase!| + |semiLastSubResultantEuclidean| |closed?| |polynomialZeros| |f02axf| + |fortranReal| |semiDegreeSubResultantEuclidean| |monicRightDivide| + |radicalRoots| |semiResultantEuclidean1| |root?| |controlPanel| + |critM| |transcendent?| |entry| |SturmHabicht| |closeComponent| UTS2UP + |OMputEndBVar| |OMUnknownSymbol?| |listOfMonoms| |low| |printingInfo?| + |infieldIntegrate| |changeNameToObjf| |quotedOperators| |factorList| + |conjugate| |li| |uniform01| |pushup| |airyBi| |thetaCoord| + |tracePowMod| |createRandomElement| |code| |clearCache| |setRealSteps| + |quasiMonic?| |fibonacci| |elt| |charClass| |reduction| + |getIdentifier| |polyPart| |iiexp| |viewPosDefault| + |rightCharacteristicPolynomial| |createNormalPrimitivePoly| |d01bbf| + |raisePolynomial| |dimensionOfIrreducibleRepresentation| + |multiplyExponents| |showTheRoutinesTable| |basisOfLeftAnnihilator| + |c06eaf| |inR?| |OMReadError?| |numer| |mvar| |leftFactor| |minPoly| + |B1solve| |tab1| |makeViewport2D| |rootNormalize| |charthRoot| |denom| + |writeLine!| |point?| |block| |OMmakeConn| |semiDiscriminantEuclidean| + |algebraicOf| |subst| |s14aaf| |OMgetVariable| |calcRanges| |rule| + |printHeader| |getMeasure| |currentScope| |doubleRank| + |zeroDimPrimary?| |log10| |unparse| |invertible?| + |purelyTranscendental?| |pi| |any| |operation| |rischDE| + |powerAssociative?| |lowerCase| |weights| |ratpart| |bitand| |heap| + |infinity| |magnitude| |quasiRegular?| |besselK| |makeTerm| + |compound?| |rk4a| |sub| |extendedResultant| |complexNumericIfCan| + |fintegrate| |df2mf| |lepol| |nthCoef| |generator| |sequences| + |stoseInvertible?| |yCoord| |completeEval| |decomposeFunc| + |gcdcofactprim| |cSin| |leftScalarTimes!| |df2fi| |particularSolution| + |index| |kernel| |hessian| |pushucoef| |latex| |hypergeometric0F1| + |ideal| |isTimes| |factorAndSplit| |diophantineSystem| |s14baf| |draw| + |sec2cos| |symmetricProduct| |tube| |hexDigit| |option| + |areEquivalent?| |comment| |atrapezoidal| |restorePrecision| + |clearTheIFTable| |quoted?| |subNodeOf?| |iiacos| |algSplitSimple| + |complexForm| |factorSquareFreePolynomial| |repeating| + |rationalApproximation| |endOfFile?| |pair| + |lastSubResultantEuclidean| BY |edf2fi| |leftMinimalPolynomial| + |position| |iroot| |univcase| |ricDsolve| |leftOne| + |stoseSquareFreePart| |weighted| |lowerCase?| |prolateSpheroidal| + |equality| |palglimint0| |recip| |leftTraceMatrix| |cAsin| + |makeObject| |d01amf| |presuper| |stoseLastSubResultant| |function| + |select!| |s15aef| |RittWuCompare| |genericLeftDiscriminant| + |cotIfCan| |Hausdorff| |c06fpf| |presub| |extractTop!| |fracPart| |lo| + |setClosed| |minimumDegree| |bat1| |ranges| |positiveSolve| |e02aef| + |coef| |scopes| |OMreceive| |sinIfCan| |incr| |OMgetEndError| |scale| + |orthonormalBasis| |socf2socdf| |s17adf| |condition| |splitNodeOf!| + |leftLcm| |primitivePart!| |hi| |leftRecip| |relativeApprox| |iomode| + |zero?| |tubeRadiusDefault| |Lazard2| |normalizeAtInfinity| |e01sbf| + |screenResolution3D| |resetVariableOrder| |clearTheFTable| + |nextNormalPrimitivePoly| |lazyResidueClass| |singularitiesOf| + |aQuartic| |dmpToP| |stronglyReduced?| |nothing| |totalGroebner| + |cycleSplit!| |e02baf| |subTriSet?| |exponential1| |rischNormalize| + |selectfirst| |bindings| |groebSolve| |intensity| |elementary| |log2| + |iiatanh| |jacobiIdentity?| |halfExtendedResultant1| |redPo| + |structuralConstants| |delta| |changeBase| |argument| + |pointSizeDefault| |sample| |cLog| |slex| |multiEuclideanTree| + |fixedPointExquo| |tail| |asecIfCan| |exprex| |badValues| |callForm?| + |eisensteinIrreducible?| |commutative?| |critB| + |standardBasisOfCyclicSubmodule| |pattern| |tableau| |cyclicGroup| + |acoshIfCan| |s21baf| |leftNorm| |f04jgf| |exprHasLogarithmicWeights| + |relerror| |rightRegularRepresentation| |cycleRagits| |column| |goto| + |safetyMargin| RF2UTS |stirling2| |internalSubPolSet?| |taylorRep| + |physicalLength| |clearTheSymbolTable| |log| |cond| |lcm| + |minimalPolynomial| |erf| |cPower| |wholeRadix| |compBound| |zag| + |OMlistCDs| |maxint| |real?| |useSingleFactorBound?| |HenselLift| + |stopTable!| |userOrdered?| |message| |sqfree| |idealSimplify| + |output| |quote| |createThreeSpace| |append| |generalSqFr| |deref| + |lazyGintegrate| |unravel| |power| |lambda| |outputList| |f04qaf| + |status| |f01bsf| |unitVector| |localReal?| |gcd| |dilog| |reseed| + |generate| |superscript| |rational| |diagonal?| |properties| + |nextItem| |fixPredicate| |composites| |false| |iitan| |sin| + |partialNumerators| |weierstrass| |bitLength| |getDatabase| + |translate| |outputAsScript| |padecf| |nthRootIfCan| |double?| + |compile| |incrementBy| |cos| |meshPar1Var| |drawStyle| + |euclideanNormalForm| |usingTable?| |partialQuotients| + |upDateBranches| |maxRowIndex| |branchIfCan| + |tryFunctionalDecomposition| |d03edf| |s18def| |tan| |realEigenvalues| + |expand| |OMputEndBind| = |setAdaptive| |exprHasWeightCosWXorSinWX| + |deepestInitial| |Ci| |cot| |check| |c02agf| |filterWhile| |inspect| + |curveColor| |basisOfRightNucleus| |unary?| |matrix| + |numberOfImproperPartitions| |iisinh| |d02raf| |#| |quatern| |sec| + |filterUntil| < |ReduceOrder| |prepareDecompose| |norm| + |primaryDecomp| |denomRicDE| |Aleph| |complexEigenvalues| |select| + |csc| |nextPrime| > |double| |poisson| |augment| |morphism| |generic?| + |antisymmetricTensors| |modTree| |iiabs| |asin| |in?| <= + |permutationGroup| |cosh2sech| |normInvertible?| + |solveLinearPolynomialEquationByFractions| |besselJ| |rank| |innerint| + |identification| |acos| |finiteBasis| >= |doubleDisc| + |getVariableOrder| |fortranTypeOf| |middle| |multisect| |atan| + |eulerE| |equiv?| |incrementKthElement| |att2Result| |nil?| |cycleElt| + |d01aqf| |infLex?| |rightOne| |acot| |brillhartIrreducible?| + |setPrologue!| |leftUnits| |coth2trigh| |factorSquareFreeByRecursion| + |alphabetic| |moebiusMu| |binaryTree| |polCase| |asec| |f02adf| + |viewDefaults| |dot| + |optional?| |setchildren!| |symmetricTensors| + |times!| |makeRecord| |acsc| |numFunEvals3D| |e01bgf| |besselI| + |cubic| - ~= |numberOfMonomials| |rationalFunction| |rquo| |setRow!| + |close| |viewPhiDefault| |sinh| |rCoord| |definingPolynomial| + |declare!| / |coerce| |npcoef| |functionIsOscillatory| |logical?| + |lists| |lSpaceBasis| |cosh| |distFact| |recur| |euclideanSize| + |errorKind| |construct| |mergeFactors| |increasePrecision| + |constantRight| |remove| |initial| |binomThmExpt| |factorSFBRlcUnit| + |tanh| |row| |display| |curveColorPalette| |less?| |expt| |csch2sinh| + |split!| |checkPrecision| |character?| |coth| |basisOfCentroid| + |stiffnessAndStabilityFactor| |space| |integral?| |genericLeftTrace| + |swapColumns!| |last| |numerator| |sech| |changeName| |getProperty| + |cosIfCan| |expandLog| |pair?| |makeFR| |vspace| |assoc| + |rationalPoint?| |csch| |makeResult| |sinhcosh| |d01akf| |triangular?| + |super| |OMsetEncoding| |diagonal| |completeHermite| |asinh| |e02akf| + |e02daf| |Ei| |lazyPseudoDivide| |fillPascalTriangle| + |basisOfRightNucloid| |imagk| |idealiser| |acosh| |twist| + |purelyAlgebraicLeadingMonomial?| |direction| |consnewpol| |setOrder| + |quasiMonicPolynomials| |lazyIrreducibleFactors| |curve| |puiseux| + |atanh| |collectUnder| |printTypes| |binaryTournament| |setProperty| + |solid?| |SFunction| |lazyPseudoQuotient| |wordsForStrongGenerators| + |acoth| |tower| |drawComplex| |pointPlot| |lazyVariations| |measure| + |region| |iisqrt2| |rightAlternative?| |inv| |null?| |asech| + |euclideanGroebner| |SturmHabichtCoefficients| |explicitEntries?| + |ground?| |computeBasis| |factorOfDegree| |enterPointData| + |ScanArabic| |generalInfiniteProduct| |LyndonBasis| |measure2Result| + |setStatus!| |irreducible?| |deepExpand| |tValues| |ground| |multiple| + |rightTraceMatrix| |interReduce| |declare| |quasiAlgebraicSet| |even?| + |tab| |applyQuote| |taylorQuoByVar| |lprop| |mapExpon| + |leadingMonomial| |tableForDiscreteLogarithm| |singleFactorBound| ~ + |segment| |f07adf| |integerIfCan| |argumentList!| |constructorName| + |iisech| |transpose| |scaleRoots| |leadingCoefficient| + |complexNumeric| |number?| |LyndonWordsList| |logIfCan| |say| + |internalIntegrate| |primintegrate| |OMgetEndApp| |primitiveMonomials| + |extractProperty| |graphStates| |open| |setelt| |d02gbf| |moduleSum| + |minimumExponent| |kernels| |constantIfCan| |rombergo| |OMbindTCP| + |reductum| |ruleset| |exptMod| |stosePrepareSubResAlgo| |rootSimp| + |obj| |expressIdealMember| |BumInSepFFE| |iilog| + |invertibleElseSplit?| |roughBasicSet| |numericalIntegration| + |diagonalProduct| |univariate| |copy| |cache| |zeroSetSplit| + |leftQuotient| |bumprow| |retract| |iiasech| |reducedSystem| + |exponential| |saturate| |innerEigenvectors| |jacobi| |any?| |cCoth| + |e02dcf| |alternative?| |getRef| |components| |suchThat| |mdeg| + |basicSet| |subset?| |wordInGenerators| |extractIfCan| |Nul| + |subtractIfCan| |algintegrate| |d01alf| |polyred| |determinant| + |factor| |autoCoerce| |makeSeries| |linearAssociatedLog| |monomRDEsys| + |entry?| |exteriorDifferential| |shellSort| |rationalIfCan| |reset| + |polygon| |ratDsolve| |hash| |sqrt| |setScreenResolution| + |cardinality| |karatsubaDivide| |f01maf| |alphanumeric| |setnext!| + |showScalarValues| |count| |cAcosh| |getGoodPrime| |real| + |stoseInvertible?sqfreg| |biRank| |rightMult| |s21bcf| |Vectorise| + |errorInfo| |write| |generalLambert| |rotate!| |prefixRagits| |imag| + |fortranInteger| |halfExtendedSubResultantGcd2| |getCurve| |rk4qc| + |cartesian| |save| |s13acf| |setTex!| |axes| |directProduct| + |leftUnit| |primintfldpoly| |totalDifferential| |s17dcf| + |nextPartition| |factorSquareFree| |branchPointAtInfinity?| + |enterInCache| |constantOpIfCan| |rightLcm| |pdf2df| + |explicitlyFinite?| |reduced?| |solveRetract| |predicate| + |createMultiplicationTable| |localIntegralBasis| |f01brf| |remove!| + |destruct| |mathieu23| |froot| |extendIfCan| |product| + |bezoutDiscriminant| |extendedint| |topFortranOutputStack| + |showIntensityFunctions| |fullDisplay| |permutations| + |wordInStrongGenerators| |irreducibleFactor| |setEmpty!| + |resultantnaif| |e02bdf| |basisOfMiddleNucleus| |roughEqualIdeals?| + |movedPoints| |possiblyNewVariety?| |coHeight| |simpsono| + |lineColorDefault| |constant| |arguments| |compiledFunction| |inverse| + |subMatrix| |composite| |nextsousResultant2| |coefficients| |eq?| + |ddFact| |internal?| |s17agf| |bezoutMatrix| |modifyPointData| + |distribute| |s17ajf| |monomial| |argscript| |fortranDouble| + |realEigenvectors| |primPartElseUnitCanonical!| |cylindrical| + |outputFixed| |unitNormal| |subresultantSequence| |rowEchLocal| + |clikeUniv| |pushdterm| |multivariate| |meatAxe| |var2Steps| |e04jaf| + |setFieldInfo| |conditionsForIdempotents| |increment| |buildSyntax| + |algint| |nullary| |variables| |lllip| |mkAnswer| |f04asf| + |evenlambert| |cCot| |algebraicDecompose| |f04axf| |setStatus| + |notelem| |htrigs| |antiCommutative?| |algDsolve| FG2F |An| + |removeRoughlyRedundantFactorsInPols| |parameters| |search| + |initTable!| |numberOfNormalPoly| |mainForm| |elRow1!| + |resultantEuclideannaif| |setAttributeButtonStep| |nonLinearPart| |eq| + |initials| |OMlistSymbols| |quasiComponent| |hMonic| |c05pbf| + |toroidal| |ScanRoman| |qinterval| |symbolTableOf| |iter| |limitPlus| + |rightExactQuotient| |viewDeltaXDefault| |OMgetEndObject| + |strongGenerators| |rst| |lazyPrem| |iitanh| + |functionIsContinuousAtEndPoints| |approximants| |coleman| + |constantOperator| |accuracyIF| |dn| |sumOfKthPowerDivisors| |taylor| + |leftDivide| |rarrow| |removeConstantTerm| |Is| |ListOfTerms| + |sortConstraints| |or| |laurent| |selectOptimizationRoutines| |or?| + |float?| |OMputEndObject| |expandPower| |d01ajf| |f02bjf| + |validExponential| |deleteRoutine!| |prepareSubResAlgo| |setlast!| + |padicFraction| |factorFraction| |recoverAfterFail| |finiteBound| + |lifting| |trapezoidalo| |quadratic?| |vedf2vef| |curry| |tubeRadius| + |fmecg| |order| |exprToXXP| |perfectSquare?| |exp1| + |solveLinearPolynomialEquationByRecursion| |predicates| + |setsubMatrix!| |tubePointsDefault| |pdct| |limitedint| + |separateFactors| |ode1| |represents| |cSec| |s21bdf| |quoByVar| + |PDESolve| |exp| |trailingCoefficient| |subscriptedVariables| + |cos2sec| |hasSolution?| |computePowers| |dark| |polygamma| + |BasicMethod| |s17def| |over| |totolex| |rightTrim| |backOldPos| + |harmonic| |s20adf| |listOfLists| |complexIntegrate| |rightGcd| + |stoseInternalLastSubResultant| |permutation| |fractionFreeGauss!| + |myDegree| |leftTrim| |removeSinhSq| |OMsupportsCD?| |viewport2D| + |idealiserMatrix| |zCoord| |symmetricSquare| ^ |cyclic| |lfextlimint| + |e04ycf| |fortranCarriageReturn| |explimitedint| |elColumn2!| |zeroOf| + |tanAn| |showFortranOutputStack| |rdregime| |tanIfCan| |swapRows!| + |length| |OMputEndAttr| |stoseInvertible?reg| |leftFactorIfCan| + |central?| |multiset| |lfinfieldint| |coerceImages| + |linearlyDependentOverZ?| |moduloP| |digit| |iipow| |randomLC| + |s17acf| |scripts| |wholePart| |conditions| |makeMulti| + |startPolynomial| |s19aaf| |key?| |linearDependence| |e01baf| + |subHeight| |showTheIFTable| |iFTable| |OMwrite| |match| |d02ejf| + |ptree| |minordet| |hermite| |omError| |curryLeft| |solveLinear| + |listRepresentation| |selectAndPolynomials| |unit?| + |OMunhandledSymbol| |call| |selectSumOfSquaresRoutines| |quadratic| + |squareFreePart| |ScanFloatIgnoreSpaces| |pastel| |parabolic| + |nonQsign| |ramifiedAtInfinity?| |lintgcd| |list| |cCosh| |logpart| + |showArrayValues| |showAllElements| |leader| |fixedPoint| + |packageCall| |d02bbf| |leftExtendedGcd| |euler| |car| + |sylvesterSequence| |rootPoly| |mainPrimitivePart| |s18aff| + |legendreP| |mainKernel| |f02wef| |primextintfrac| |interpretString| + |cdr| |OMgetEndBind| |iibinom| |blankSeparate| |mathieu11| |critBonD| + |setelt!| |loadNativeModule| |palginfieldint| |atoms| |normalElement| + |complexLimit| |setDifference| |contains?| |gcdcofact| |children| + |asinIfCan| |char| |airyAi| |dihedral| |prologue| |c06ekf| |f02bbf| + |setIntersection| |sinhIfCan| |leftRank| |fTable| |unitCanonical| + |OMconnectTCP| |OMputVariable| |and?| |linearPart| |leftAlternative?| + |setUnion| |setLabelValue| |singularAtInfinity?| |rightScalarTimes!| + |powers| |substring?| |commutativeEquality| |exactQuotient!| |neglist| + |stopTableInvSet!| |content| |deepestTail| |apply| |genus| |minGbasis| + |octon| |graphCurves| |normalDenom| |isMult| |factorByRecursion| + |oddInfiniteProduct| |fortranLogical| |d02cjf| |varselect| |suffix?| + |youngGroup| |unvectorise| |setCondition!| |boundOfCauchy| + |autoReduced?| |float| |coerceP| |palglimint| |void| + |evenInfiniteProduct| |bivariatePolynomials| |subQuasiComponent?| + |size| |genericRightTraceForm| |genericRightMinimalPolynomial| |diff| + |odd?| |iidprod| |goodPoint| |singular?| |factorGroebnerBasis| + |submod| |getMultiplicationTable| |physicalLength!| |prefix?| + |routines| |shuffle| |pr2dmp| |spherical| |symmetricGroup| |finite?| + |nthr| |subspace| |primitive?| |lexTriangular| |eigenvectors| + |integralRepresents| |imagI| |multiEuclidean| |geometric| + |halfExtendedSubResultantGcd1| |countRealRootsMultiple| + |outputFloating| |mindeg| |first| |reopen!| |cup| |ocf2ocdf| + |axesColorDefault| |prod| |numberOfFactors| |complexExpand| + |resultantReduit| |OMgetApp| |divide| |rest| |coth2tanh| |iiperm| + |iiGamma| |null| |randomR| |implies| |sech2cosh| + |SturmHabichtSequence| |showClipRegion| |pointData| |getGraph| + |f02awf| |acosIfCan| |substitute| |selectPDERoutines| |pdf2ef| + |OMputInteger| |equivOperands| |case| |integralDerivationMatrix| + |knownInfBasis| |isOp| |e02zaf| |setValue!| |removeDuplicates| |key| + |nodes| |binarySearchTree| |gradient| |Zero| |companionBlocks| + |insertMatch| |d03faf| |xor| |has?| |OMsend| |overbar| |subscript| + |pomopo!| |nsqfree| |external?| |linearlyDependent?| |infix?| |One| + |LyndonCoordinates| |henselFact| GE |tubePlot| |highCommonTerms| + |const| |horizConcat| |filename| |outputArgs| |createZechTable| |mask| + |mkPrim| |semiResultantReduitEuclidean| |choosemon| + |multiplyCoefficients| GT |rightUnit| |sechIfCan| |baseRDE| + |updateStatus!| |not?| |leadingBasisTerm| |f07aef| + |transcendenceDegree| |selectMultiDimensionalRoutines| |mathieu22| LE + |regularRepresentation| |upperCase| |laplacian| |subresultantVector| + |parse| |derivationCoordinates| |OMencodingXML| |lyndon?| LODO2FUN + |sayLength| |addiag| |tanNa| LT |applyRules| |kroneckerDelta| + |conditionP| |unexpand| |zeroMatrix| |makeYoungTableau| |torsionIfCan| + |dmp2rfi| |primitivePart| |explogs2trigs| |recolor| |rotate| + |normalDeriv| |contractSolve| |rightRemainder| |symbolTable| |label| + |retractIfCan| |someBasis| |e04naf| |externalList| |diagonals| + |oddintegers| |iifact| |ravel| |alternating| |kovacic| |lazy?| |byte| + |createMultiplicationMatrix| |leftTrace| |singRicDE| |dim| + |sumOfSquares| |pushFortranOutputStack| |selectNonFiniteRoutines| + |reshape| |rightFactorIfCan| |adaptive| |rightPower| |nthFlag| + |headReduce| |viewpoint| |se2rfi| |weight| |symmetricDifference| + |setErrorBound| |basisOfCenter| |option?| |popFortranOutputStack| + |initializeGroupForWordProblem| |OMgetAtp| |member?| |atanhIfCan| + |string| |FormatRoman| |dflist| |possiblyInfinite?| |newLine| |f01rcf| + |ldf2lst| |printStats!| |iExquo| |empty| |moreAlgebraic?| + |outputAsFortran| |rightRankPolynomial| |digamma| |polyRicDE| |isExpt| + |d02gaf| |groebnerFactorize| |iicsch| |power!| |resize| |maxdeg| + |differentialVariables| |fortranLinkerArgs| |atom?| |rk4| |symmetric?| + |padicallyExpand| |prevPrime| |OMgetString| |whileLoop| + |principalIdeal| |leastAffineMultiple| |LazardQuotient2| + |outputMeasure| |solveid| |f04mcf| |symbol?| |romberg| + |rewriteIdealWithRemainder| |infinite?| |update| |createNormalElement| + |terms| |paraboloidal| |every?| |seriesSolve| |cyclotomic| + |squareFreeFactors| |cschIfCan| |coefChoose| |quartic| |remainder| + |credPol| |divideIfCan!| |writable?| |rightUnits| |mantissa| |ldf2vmf| + |mapUnivariateIfCan| |complementaryBasis| |Beta| + |inverseIntegralMatrixAtInfinity| |mirror| |crushedSet| + |intPatternMatch| |leftRemainder| |zeroDimensional?| |aQuadratic| + |map| |prinshINFO| |prinpolINFO| |matrixConcat3D| |rootDirectory| + |relationsIdeal| |operator| |comparison| |f04mbf| |algebraicVariables| + |squareTop| |rk4f| |pleskenSplit| |coerceL| |modularGcd| |monicModulo| + |c06frf| |commaSeparate| |expextendedint| |parent| |makeSUP| + |OMgetEndAtp| |ridHack1| |exprToUPS| |rewriteIdealWithHeadRemainder| + |groebgen| |selectPolynomials| |f04adf| |indiceSubResultant| + |flagFactor| |reduceByQuasiMonic| |viewSizeDefault| |hyperelliptic| + |chebyshevT| |groebner?| |bat| |trigs| |unmakeSUP| |second| |ceiling| + |iteratedInitials| |createPrimitiveElement| |numberOfComputedEntries| + |f02abf| |generalPosition| |wronskianMatrix| |outputSpacing| + |mapUnivariate| |infix| |third| |oddlambert| |pquo| |constant?| + |f02akf| |normalizedDivide| |definingEquations| |complexRoots| + |OMputSymbol| |convert| |inrootof| |zerosOf| |inRadical?| + |decreasePrecision| |bringDown| |sturmSequence| |script| |plotPolar| + |computeInt| |eigenMatrix| |typeLists| |monicCompleteDecompose| + |imaginary| |cExp| |cyclePartition| |internalSubQuasiComponent?| + |compactFraction| |normalForm| |rootSplit| |mkIntegral| + |mainCharacterization| |forLoop| |linear?| |interpret| |vector| + |iiacosh| |coord| |removeZeroes| |keys| + |removeRedundantFactorsInContents| |radicalSolve| |radix| + |parabolicCylindrical| |dioSolve| |one?| |removeSuperfluousCases| + |pointLists| |differentiate| |noLinearFactor?| |expintfldpoly| + |vertConcat| |cAcot| |definingInequation| |list?| |tex| |subPolSet?| + |bag| |mapExponents| |reciprocalPolynomial| |f02fjf| |tubePoints| + |tRange| |makeSin| |pack!| |nlde| |monicLeftDivide| |optAttributes| + |d01apf| |RemainderList| |useEisensteinCriterion?| + |rewriteSetByReducingWithParticularGenerators| |dfRange| |sizeLess?| + |integralAtInfinity?| |resetBadValues| |nodeOf?| |tan2cot| |integer?| + |multinomial| |OMputString| |quadraticNorm| |f02aaf| |iisec| |c05adf| + |eigenvector| |OMopenFile| |gethi| |cycleEntry| |identitySquareMatrix| + |discreteLog| |evaluateInverse| |deleteProperty!| |aspFilename| + |getlo| |copyInto!| |mainVariables| |extractIndex| |OMencodingBinary| + |loopPoints| |leadingTerm| |semicolonSeparate| |coerceS| + |pseudoQuotient| |cot2trig| |debug| |rightMinimalPolynomial| + |pseudoDivide| |quickSort| |innerSolve1| |getSyntaxFormsFromFile| + UP2UTS |associatedEquations| |leviCivitaSymbol| + |createIrreduciblePoly| |leftExactQuotient| |scripted?| D + |doubleComplex?| |tensorProduct| |fprindINFO| |dequeue!| + |subResultantChain| |OMgetInteger| |newReduc| |nextIrreduciblePoly| + |simplifyLog| |reducedForm| |llprop| |ratDenom| |monomialIntegrate| + |setButtonValue| |groebner| |sylvesterMatrix| |tanQ| |c06ecf| + |palgLODE| |complexElementary| |leftDiscriminant| |csubst| |extract!| + |bernoulliB| |leadingCoefficientRicDE| |pToHdmp| |iCompose| |int| + |symFunc| |makeVariable| |taylorIfCan| |eigenvalues| + |clearFortranOutputStack| |optpair| |generalizedEigenvector| + |medialSet| |rootBound| |cycleLength| |signAround| |nthExpon| |true| + |indicialEquations| |leftZero| |module| |sparsityIF| |merge!| |yellow| + |insertRoot!| |gcdprim| |normFactors| |lazyPseudoRemainder| + |indiceSubResultantEuclidean| |mightHaveRoots| |and| |brace| |sn| + |e02agf| |split| |cAsinh| |univariate?| |separant| |cTan| |cscIfCan| + |roman| |largest| |create3Space| |leaves| |impliesOperands| + |nextPrimitivePoly| |flexible?| |e01bef| |distance| + |reducedContinuedFraction| |lp| |sin2csc| |graphState| |binary| + |surface| |plot| |bfKeys| |musserTrials| |intChoose| + |generalTwoFactor| |acschIfCan| |integralMatrix| |removeSinSq| + |c05nbf| |closedCurve| |leftCharacteristicPolynomial| |nthExponent| + |complex?| |generalizedContinuumHypothesisAssumed?| |collectUpper| + |lagrange| |andOperands| |negative?| |hcrf| |coordinate| |value| + |extend| |numberOfDivisors| |lllp| |mergeDifference| |e01daf| + |currentSubProgram| |gbasis| |cAcoth| |nullity| |closedCurve?| |sum| + |cfirst| |anfactor| |internalZeroSetSplit| |oneDimensionalArray| + |bandedHessian| |bsolve| |leadingIndex| |bandedJacobian| |countable?| + |color| |setfirst!| |monomials| |tanSum| |antiAssociative?| |e02dff| + |basis| |characteristicSerie| |qelt| |connect| |OMputAttr| + |isAbsolutelyIrreducible?| |sorted?| |gcdPrimitive| + |lastSubResultantElseSplit| |semiResultantEuclidean2| |graphs| + |numberOfFractionalTerms| |totalLex| |permanent| + |transcendentalDecompose| |ipow| |getConstant| + |subResultantGcdEuclidean| |clipWithRanges| + |leftRegularRepresentation| |LiePoly| |cAcsc| |anticoord| + |rangeIsFinite| |lighting| |xRange| |addBadValue| |d01anf| + |halfExtendedResultant2| |OMputAtp| |rightTrace| |c06gbf| |s19acf| + |constantCoefficientRicDE| |exprHasAlgebraicWeight| |yRange| |rspace| + |SturmHabichtMultiple| |setProperties| |associatorDependence| + |argumentListOf| |normal?| |completeSmith| + |rewriteIdealWithQuasiMonicGenerators| |addPointLast| + |computeCycleEntry| |OMputObject| |zRange| |minset| |perfectSqrt| + |nullSpace| |rootRadius| |hex| |HermiteIntegrate| |pushNewContour| + |child| |concat| |map!| |extractSplittingLeaf| |e02bbf| |printInfo!| + |matrixDimensions| |slash| |iflist2Result| |e04gcf| |univariateSolve| + |checkRur| |subCase?| |qsetelt!| |ramified?| |genericLeftNorm| + |adaptive3D?| |balancedFactorisation| |mainValue| |convergents| + |iisin| |c06ebf| |postfix| |delay| |btwFact| |gcdPolynomial| + |mainMonomial| |quotient| |startTableInvSet!| |powmod| |s18aef| + |OMgetBind| |mapDown!| |lfunc| |cSech| |hdmpToP| |id| |realZeros| + |genericLeftTraceForm| |getStream| |homogeneous?| |OMsupportsSymbol?| + |numericalOptimization| |blue| |linearAssociatedOrder| |s14abf| + |members| |selectODEIVPRoutines| |whatInfinity| |smith| |iiasec| + |setScreenResolution3D| |cAcos| |factors| |copies| |minPoints| + |leftMult| |table| |associative?| |resultantEuclidean| + |pointColorDefault| |pole?| |modifyPoint| |node?| |scan| + |characteristicSet| |acsch| |new| |exactQuotient| |mapmult| + |stopMusserTrials| |pseudoRemainder| |iicosh| |mainVariable| + |difference| |bitTruth| |rightDivide| |critT| |e02ahf| + |unrankImproperPartitions1| |rischDEsys| |bits| |exquo| + |reduceBasisAtInfinity| |algebraicSort| |nullary?| |s17akf| + |currentEnv| |palgint0| |coshIfCan| |internalAugment| |matrixGcd| + |extractBottom!| |div| |linearMatrix| + |setLegalFortranSourceExtensions| |rightExtendedGcd| + |integralLastSubResultant| |numFunEvals| |generalizedEigenvectors| + |unit| |semiResultantEuclideannaif| |solveInField| |OMencodingSGML| + |quo| |normalize| |dominantTerm| |expPot| |elements| |categoryFrame| + |ODESolve| |mainMonomials| |nand| |pushuconst| |s15adf| |rename!| + |toseSquareFreePart| |open?| |removeZero| |qfactor| |tanintegrate| + |safeFloor| |s17dhf| |setEpilogue!| |rem| |viewWriteDefault| |qqq| + |basisOfLeftNucleus| |setMinPoints| |shiftRight| |roughBase?| |read!| + |e01sff| |multiple?| |groebnerIdeal| |trivialIdeal?| |aLinear| + |OMclose| |element?| |f01qdf| |OMputEndError| + |removeRedundantFactorsInPols| |makeprod| |toseInvertibleSet| + |radPoly| |f02aef| |regime| |clip| |monic?| |mindegTerm| + |jordanAdmissible?| |iidsum| |separate| |rootsOf| |branchPoint?| + |constantToUnaryFunction| |conjug| |refine| |chineseRemainder| |cCos| + |escape| |fortran| |mesh| |fractRagits| |alphabetic?| |imagE| |schema| + |left| |resetNew| |addMatch| |rational?| |replaceKthElement| + |bubbleSort!| |readLine!| |outputGeneral| |setVariableOrder| |vark| + |right| |outputForm| |bfEntry| |part?| |stopTableGcd!| + |infiniteProduct| |lyndonIfCan| |satisfy?| + |removeRoughlyRedundantFactorsInPol| |acothIfCan| |cap| |f02agf| + |localAbs| |endSubProgram| |e04mbf| |partialFraction| |meshFun2Var| + |moebius| |complete| |assign| |init| |genericRightNorm| |abs| + |resultantReduitEuclidean| |OMputApp| |mathieu12| |parts| + |topPredicate| |completeEchelonBasis| |appendPoint| |replace| + |UnVectorise| |firstSubsetGray| |nthFractionalTerm| |hasoln| + |functionIsFracPolynomial?| |toseInvertible?| + |extendedSubResultantGcd| |multMonom| |ParCond| |xn| |not| + |getMultiplicationMatrix| |s18dcf| |wholeRagits| |ellipticCylindrical| + |showTheSymbolTable| |solveLinearlyOverQ| |iprint| |clearTable!| + |identity| |toseLastSubResultant| |localUnquote| |repeatUntilLoop| + |primitiveElement| |create| |mkcomm| |cot2tan| |cAsech| |iiacot| + |complement| |redPol| |fortranDoubleComplex| |bitCoef| |cCsch| + |f04maf| |reverseLex| |varList| |shufflein| |rules| |bumptab1| + |center| |integralCoordinates| |integralMatrixAtInfinity| |swap!| + |reindex| |bivariate?| |lifting1| |LazardQuotient| |stronglyReduce| + |revert| |monicRightFactorIfCan| |integrate| |pascalTriangle| + |primPartElseUnitCanonical| |principal?| |explicitlyEmpty?| + |frobenius| |bumptab| |bracket| |quasiRegular| |OMParseError?| + |c06gsf| |zeroDim?| |seriesToOutputForm| |cyclotomicFactorization| + |f07fef| |critMonD1| |removeRoughlyRedundantFactorsInContents| + |firstDenom| |is?| |cyclicSubmodule| |factorPolynomial| |bottom!| + |OMgetEndBVar| |range| |changeVar| |enumerate| |deriv| |twoFactor| + |symbol| |expandTrigProducts| |birth| |exponent| |OMgetBVar| + |dmpToHdmp| |match?| |jordanAlgebra?| |integers| |shallowExpand| + |f01qcf| |palgint| |readLineIfCan!| |s17dlf| |simpleBounds?| |setPoly| + |po| |extendedEuclidean| |fortranComplex| |hostPlatform| |shiftRoots| + |inverseLaplace| |legendre| |integer| |bitior| |continuedFraction| + |overset?| ** |setColumn!| |newTypeLists| |e01sef| |simplify| |prime| + |aCubic| |addPoint| |nthRoot| |genericRightDiscriminant| |Lazard| + |safeCeiling| |sturmVariationsOf| |doublyTransitive?| |hexDigit?| + |setClipValue| |f2st| |superHeight| |qPot| |cSinh| |purelyAlgebraic?| + |limitedIntegrate| |generators| |psolve| |getProperties| |reorder| + |ksec| |headReduced?| |startTable!| EQ |exQuo| |quadraticForm| + |trigs2explogs| |back| |genericLeftMinimalPolynomial| |factorset| + |setleaves!| |lazyIntegrate| |bezoutResultant| |lfextendedint| + |gderiv| |wrregime| |objects| |symmetricPower| |operators| |inc| + |mainVariable?| |clearDenominator| |setrest!| |write!| |retractable?| + |updatD| |host| |pade| |numericIfCan| |base| |makeFloatFunction| + |subResultantsChain| |edf2efi| |setvalue!| |belong?| |conical| + |listYoungTableaus| |laplace| |mainDefiningPolynomial| |sumSquares| + |e01bff| |clipParametric| |eulerPhi| |OMgetEndAttr| |adaptive?| + |integerBound| |clipPointsDefault| |plus| SEGMENT |cyclicEntries| + |perspective| |dimensionsOf| |normal01| |rootOfIrreduciblePoly| + |prefix| |rur| |red| |fortranLiteralLine| |setProperty!| + |bivariateSLPEBR| |linearAssociatedExp| |updatF| |cAcsch| + |abelianGroup| |rotatey| |radicalSimplify| |supRittWu?| + |numberOfChildren| |test| |divisor| |prindINFO| |elem?| |mapGen| + |inHallBasis?| |removeSquaresIfCan| |mapCoef| |floor| |checkForZero| + |mainCoefficients| |cothIfCan| |zeroVector| |expIfCan| |build| + |leftPower| |component| |karatsuba| |scanOneDimSubspaces| + |createPrimitivePoly| |fullPartialFraction| |stack| |setref| + |colorFunction| |LyndonWordsList1| |discriminant| |opeval| |times| + |rdHack1| |e02def| |OMreadStr| |critMTonD1| |pureLex| |systemSizeIF| + |OMconnOutDevice| |basisOfCommutingElements| |patternVariable| + |rangePascalTriangle| |curve?| |FormatArabic| |powern| |name| + |divisors| |degreeSubResultantEuclidean| |interpolate| |prime?| + |error| |rootPower| |redmat| |copy!| |OMserve| |rename| |messagePrint| + |body| |mathieu24| |permutationRepresentation| |dictionary| + |beauzamyBound| |assert| |domainOf| |sh| |pointColorPalette| |iiatan| + |partitions| |monomRDE| |optimize| |arity| |primlimitedint| + |squareFreePolynomial| |midpoints| |mulmod| |stoseInvertibleSetsqfreg| + |OMgetAttr| |monom| |inGroundField?| |stoseInvertibleSet| + |splitDenominator| |ran| |ode| |setOfMinN| |removeCosSq| + |goodnessOfFit| |ord| |integral| |palgLODE0| |OMencodingUnknown| + |parametersOf| |lquo| |previous| |OMgetSymbol| + |cyclotomicDecomposition| |powerSum| |initiallyReduce| |concat!| + |unitsColorDefault| |round| |prem| |lexGroebner| |chainSubResultants| + |associator| |expr| |laurentRep| |denominators| |cTanh| |arg1| |size?| + |generateIrredPoly| |common| |complexSolve| + |tryFunctionalDecomposition?| |currentCategoryFrame| + |internalLastSubResultant| |showTheFTable| |expenseOfEvaluation| + |lieAdmissible?| |arg2| |box| |insert!| |d02kef| |imagi| + |fortranCharacter| |string?| |dihedralGroup| |removeDuplicates!| + |totalDegree| |expintegrate| |reduceLODE| |polyRDE| + |rewriteSetWithReduction| |cosSinInfo| |primlimintfrac| + |linearDependenceOverZ| |subSet| |cyclicCopy| |df2st| |epilogue| + |plenaryPower| |e04dgf| |increase| |rightZero| |approxNthRoot| + |simplifyPower| |cycle| |derivative| |reducedQPowers| |rubiksGroup| + |variable| |monomial?| |c06fqf| |semiSubResultantGcdEuclidean1| + |exists?| |internalIntegrate0| |primextendedint| |OMreadFile| + |cyclic?| |coordinates| |rightRank| |antisymmetric?| |karatsubaOnce| + |triangSolve| |primeFactor| |hclf| |getPickedPoints| |iiacsc| + |putGraph| |radicalOfLeftTraceForm| |nextPrimitiveNormalPoly| + |decrease| |linear| |nextSubsetGray| |compdegd| |insert| |failed| + |degree| |rowEch| |orbit| |hasPredicate?| |parametric?| |redpps| + |green| |lowerPolynomial| |isobaric?| |realSolve| |formula| + |pmintegrate| |tanhIfCan| |lyndon| |integralBasis| |t| |shallowCopy| + |selectIntegrationRoutines| |polynomial| |isList| |bombieriNorm| + |entries| |numerators| |next| |LowTriBddDenomInv| |mpsode| + |makeViewport3D| |viewWriteAvailable| |rotatex| |reify| |outputAsTex| + |more?| |digit?| |stoseIntegralLastSubResultant| |getExplanations| + |returnTypeOf| |rootKerSimp| |high| |cyclicParents| |flatten| |minus!| + |alternatingGroup| |startTableGcd!| |divisorCascade| |cn| |merge| + |nextNormalPoly| |xCoord| |indices| |hasHi| |overlap| |s19adf| + |fglmIfCan| |d02bhf| |laguerre| |nrows| |head| |roughUnitIdeal?| + |findCycle| |tanh2coth| |bipolarCylindrical| |sdf2lst| |point| + |scalarMatrix| |internalInfRittWu?| |hdmpToDmp| |reducedDiscriminant| + |complexZeros| |ncols| |reflect| |directory| |linSolve| |trapezoidal| + |firstNumer| |discriminantEuclidean| |eval| |nilFactor| |port| + |isQuotient| |listLoops| |nil| |s17aef| |reverse| |outlineRender| + |UP2ifCan| |d01fcf| |linearPolynomials| |truncate| |f02xef| |secIfCan| + |startStats!| |compose| |processTemplate| |generic| |tanh2trigh| + |getOperands| |viewZoomDefault| |iicsc| |series| |sncndn| |index?| + |frst| |lambert| Y |numberOfComponents| |pmComplexintegrate| |limit| + |move| |identityMatrix| |maximumExponent| |linkToFortran| |traverse| + |OMputFloat| |simpson| |denomLODE| |approximate| |arrayStack| |e02gaf| + |var2StepsDefault| |printInfo| |OMputBind| |cycleTail| |op| |leftGcd| + |balancedBinaryTree| |complex| |doubleFloatFormat| |showRegion| + |systemCommand| |realElementary| |OMUnknownCD?| |iicot| + |indicialEquationAtInfinity| |exponentialOrder| |inf| |height| + |absolutelyIrreducible?| |normalizeIfCan| |sPol| |edf2df| |imagJ| + |brillhartTrials| |printStatement| |invertibleSet| |min| |cAtan| + |f01qef| |firstUncouplingMatrix| |s13adf| |debug3D| |dequeue| + |fractRadix| |minrank| |hue| |putColorInfo| |outerProduct| |positive?| + |listBranches| |acscIfCan| |freeOf?| |child?| |normal| |quotientByP| + |Gamma| |top!| |hermiteH| |monomialIntPoly| |rationalPoints| |primes| + |partition| |printCode| |subResultantGcd| |trace2PowMod| |normalise| + |selectOrPolynomials| |pointColor| |sort!| |cAtanh| |chiSquare| + |e01saf| |f01mcf| |iiasinh| |OMconnInDevice| |union| |KrullNumber| + |prinb| |shift| |probablyZeroDim?| |uniform| |completeHensel| + |partialDenominators| |maxrow| |factorials| |leadingExponent| + |getMatch| |clipSurface| |numeric| |coercePreimagesImages| + |viewThetaDefault| |depth| |mix| |diag| |ParCondList| |df2ef| + |stripCommentsAndBlanks| |radical| |cCsc| |lastSubResultant| |input| + |sinh2csch| |notOperand| |mapdiv| |setTopPredicate| |baseRDEsys| + |constantKernel| |OMread| |inverseIntegralMatrix| |setMaxPoints| + |options| |polar| |e02ddf| |library| |constantLeft| |hasTopPredicate?| + |tan2trig| |makeop| |LiePolyIfCan| |modularFactor| |directSum| |nil| + |infinite| |arbitraryExponent| |approximate| |complex| + |shallowMutable| |canonical| |noetherian| |central| |partiallyOrderedSet| |arbitraryPrecision| |canonicalsClosed| |noZeroDivisors| |rightUnitary| |leftUnitary| |additiveValuation| |unitsKnown| |canonicalUnitNormal| |multiplicativeValuation| diff --git a/src/share/algebra/interp.daase b/src/share/algebra/interp.daase index fc8c2225..26e5fc37 100644 --- a/src/share/algebra/interp.daase +++ b/src/share/algebra/interp.daase @@ -1,81 +1,81 @@ -(3152501 . 3429152943) -((-1561 (((-110) (-1 (-110) |#2| |#2|) $) 63) (((-110) $) NIL)) (-2825 (($ (-1 (-110) |#2| |#2|) $) 18) (($ $) NIL)) (-2384 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T) ((-291 |#2|) -12 (|has| |#2| (-291 |#2|)) (|has| |#2| (-1027))) ((-349) |has| |#2| (-349)) ((-358 |#2|) |has| |#2| (-984)) ((-392 |#2|) |has| |#2| (-1027)) ((-468 |#2|) . T) ((-563 #0# |#2|) . 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T) ((-358 |#1|) . T) ((-392 |#1|) . T) ((-432) -1450 (|has| |#1| (-850)) (|has| |#1| (-432))) ((-491 |#2| |#1|) |has| |#1| (-216)) ((-491 |#2| $) |has| |#1| (-216)) ((-491 |#3| |#1|) . T) ((-491 |#3| $) . T) ((-491 $ $) . T) ((-522) -1450 (|has| |#1| (-850)) (|has| |#1| (-522)) (|has| |#1| (-432))) ((-599 #0#) |has| |#1| (-37 (-388 (-530)))) ((-599 |#1|) . T) ((-599 $) . T) ((-593 (-530)) |has| |#1| (-593 (-530))) ((-593 |#1|) . T) ((-666 #0#) |has| |#1| (-37 (-388 (-530)))) ((-666 |#1|) |has| |#1| (-162)) ((-666 $) -1450 (|has| |#1| (-850)) (|has| |#1| (-522)) (|has| |#1| (-432))) ((-675) . T) ((-795) |has| |#1| (-795)) ((-841 (-1099)) |has| |#1| (-841 (-1099))) ((-841 |#3|) . T) ((-827 (-360)) -12 (|has| |#1| (-827 (-360))) (|has| |#3| (-827 (-360)))) ((-827 (-530)) -12 (|has| |#1| (-827 (-530))) (|has| |#3| (-827 (-530)))) ((-890 |#1| |#4| |#3|) . 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T) ((-522) |has| |#1| (-522)) ((-599 #0#) |has| |#1| (-522)) ((-599 |#1|) |has| |#1| (-162)) ((-599 $) -1450 (|has| |#1| (-984)) (|has| |#1| (-522)) (|has| |#1| (-162)) (|has| |#1| (-140)) (|has| |#1| (-138))) ((-593 (-530)) -12 (|has| |#1| (-593 (-530))) (|has| |#1| (-984))) ((-593 |#1|) |has| |#1| (-984)) ((-666 #0#) |has| |#1| (-522)) ((-666 |#1|) |has| |#1| (-162)) ((-666 $) |has| |#1| (-522)) ((-675) -1450 (|has| |#1| (-1039)) (|has| |#1| (-984)) (|has| |#1| (-522)) (|has| |#1| (-453)) (|has| |#1| (-162)) (|has| |#1| (-140)) (|has| |#1| (-138))) ((-795) . T) ((-841 (-1099)) |has| |#1| (-984)) ((-827 (-360)) |has| |#1| (-827 (-360))) ((-827 (-530)) |has| |#1| (-827 (-530))) ((-825 |#1|) . T) ((-861) |has| |#1| (-522)) ((-975 (-388 (-530))) -1450 (|has| |#1| (-975 (-388 (-530)))) (-12 (|has| |#1| (-522)) (|has| |#1| (-975 (-530))))) ((-975 (-388 (-893 |#1|))) |has| |#1| (-522)) ((-975 (-530)) |has| |#1| (-975 (-530))) ((-975 (-570 $)) . 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"STRICAT" 2694098 T STRICAT (NIL) -9 NIL 2694160) (-1080 2682238 2687047 2687667 "STREAM" 2688939 NIL STREAM (NIL T) -8 NIL NIL) (-1079 2681748 2681825 2681969 "STREAM3" 2682155 NIL STREAM3 (NIL T T T) -7 NIL NIL) (-1078 2680730 2680913 2681148 "STREAM2" 2681561 NIL STREAM2 (NIL T T) -7 NIL NIL) (-1077 2680418 2680470 2680563 "STREAM1" 2680672 NIL STREAM1 (NIL T) -7 NIL NIL) (-1076 2679434 2679615 2679846 "STINPROD" 2680234 NIL STINPROD (NIL T) -7 NIL NIL) (-1075 2679013 2679197 2679227 "STEP" 2679307 T STEP (NIL) -9 NIL 2679385) (-1074 2672556 2678912 2678989 "STBL" 2678994 NIL STBL (NIL T T NIL) -8 NIL NIL) (-1073 2667732 2671779 2671822 "STAGG" 2671975 NIL STAGG (NIL T) -9 NIL 2672064) (-1072 2665434 2666036 2666908 "STAGG-" 2666913 NIL STAGG- (NIL T T) -8 NIL NIL) (-1071 2663629 2665204 2665296 "STACK" 2665377 NIL STACK (NIL T) -8 NIL NIL) (-1070 2656360 2661776 2662231 "SREGSET" 2663259 NIL SREGSET (NIL T T T T) -8 NIL NIL) (-1069 2648800 2650168 2651680 "SRDCMPK" 2654966 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL) (-1068 2641768 2646241 2646271 "SRAGG" 2647574 T SRAGG (NIL) -9 NIL 2648182) (-1067 2640785 2641040 2641419 "SRAGG-" 2641424 NIL SRAGG- (NIL T) -8 NIL NIL) (-1066 2635234 2639704 2640131 "SQMATRIX" 2640404 NIL SQMATRIX (NIL NIL T) -8 NIL NIL) (-1065 2628986 2631954 2632680 "SPLTREE" 2634580 NIL SPLTREE (NIL T T) -8 NIL NIL) (-1064 2624976 2625642 2626288 "SPLNODE" 2628412 NIL SPLNODE (NIL T T) -8 NIL NIL) (-1063 2624023 2624256 2624286 "SPFCAT" 2624730 T SPFCAT (NIL) -9 NIL NIL) (-1062 2622760 2622970 2623234 "SPECOUT" 2623781 T SPECOUT (NIL) -7 NIL NIL) (-1061 2622521 2622561 2622630 "SPADPRSR" 2622713 T SPADPRSR (NIL) -7 NIL NIL) (-1060 2614544 2616291 2616333 "SPACEC" 2620656 NIL SPACEC (NIL T) -9 NIL 2622472) (-1059 2612716 2614477 2614525 "SPACE3" 2614530 NIL SPACE3 (NIL T) -8 NIL NIL) (-1058 2611468 2611639 2611930 "SORTPAK" 2612521 NIL SORTPAK (NIL T T) -7 NIL NIL) (-1057 2609524 2609827 2610245 "SOLVETRA" 2611132 NIL SOLVETRA (NIL T) -7 NIL NIL) (-1056 2608535 2608757 2609031 "SOLVESER" 2609297 NIL SOLVESER (NIL T) -7 NIL NIL) (-1055 2603755 2604636 2605638 "SOLVERAD" 2607587 NIL SOLVERAD (NIL T) -7 NIL NIL) (-1054 2599570 2600179 2600908 "SOLVEFOR" 2603122 NIL SOLVEFOR (NIL T T) -7 NIL NIL) (-1053 2593869 2598921 2599017 "SNTSCAT" 2599022 NIL SNTSCAT (NIL T T T T) -9 NIL 2599092) (-1052 2587973 2592200 2592590 "SMTS" 2593559 NIL SMTS (NIL T T T) -8 NIL NIL) (-1051 2582383 2587862 2587938 "SMP" 2587943 NIL SMP (NIL T T) -8 NIL NIL) (-1050 2580542 2580843 2581241 "SMITH" 2582080 NIL SMITH (NIL T T T T) -7 NIL NIL) (-1049 2573507 2577703 2577805 "SMATCAT" 2579145 NIL SMATCAT (NIL NIL T T T) -9 NIL 2579694) (-1048 2570448 2571271 2572448 "SMATCAT-" 2572453 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL) (-1047 2568162 2569685 2569728 "SKAGG" 2569989 NIL SKAGG (NIL T) -9 NIL 2570124) (-1046 2564220 2567266 2567544 "SINT" 2567906 T SINT (NIL) -8 NIL NIL) (-1045 2563992 2564030 2564096 "SIMPAN" 2564176 T SIMPAN (NIL) -7 NIL NIL) (-1044 2563508 2563694 2563793 "SIG" 2563915 T SIG (NIL) -8 NIL NIL) (-1043 2562346 2562567 2562842 "SIGNRF" 2563267 NIL SIGNRF (NIL T) -7 NIL NIL) (-1042 2561155 2561306 2561596 "SIGNEF" 2562175 NIL SIGNEF (NIL T T) -7 NIL NIL) (-1041 2558845 2559299 2559805 "SHP" 2560696 NIL SHP (NIL T NIL) -7 NIL NIL) (-1040 2552698 2558746 2558822 "SHDP" 2558827 NIL SHDP (NIL NIL NIL T) -8 NIL NIL) (-1039 2552188 2552380 2552410 "SGROUP" 2552562 T SGROUP (NIL) -9 NIL 2552649) (-1038 2551958 2552010 2552114 "SGROUP-" 2552119 NIL SGROUP- (NIL T) -8 NIL NIL) (-1037 2548794 2549491 2550214 "SGCF" 2551257 T SGCF (NIL) -7 NIL NIL) (-1036 2543191 2548243 2548339 "SFRTCAT" 2548344 NIL SFRTCAT (NIL T T T T) -9 NIL 2548383) (-1035 2536633 2537648 2538783 "SFRGCD" 2542174 NIL SFRGCD (NIL T T T T T) -7 NIL NIL) (-1034 2529780 2530851 2532036 "SFQCMPK" 2535566 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL) (-1033 2529402 2529491 2529601 "SFORT" 2529721 NIL SFORT (NIL T T) -8 NIL NIL) (-1032 2528547 2529242 2529363 "SEXOF" 2529368 NIL SEXOF (NIL T T T T T) -8 NIL NIL) (-1031 2527681 2528428 2528496 "SEX" 2528501 T SEX (NIL) -8 NIL NIL) (-1030 2522458 2523147 2523242 "SEXCAT" 2527013 NIL SEXCAT (NIL T T T T T) -9 NIL 2527632) (-1029 2519638 2522392 2522440 "SET" 2522445 NIL SET (NIL T) -8 NIL NIL) (-1028 2517889 2518351 2518656 "SETMN" 2519379 NIL SETMN (NIL NIL NIL) -8 NIL NIL) (-1027 2517497 2517623 2517653 "SETCAT" 2517770 T SETCAT (NIL) -9 NIL 2517854) (-1026 2517277 2517329 2517428 "SETCAT-" 2517433 NIL SETCAT- (NIL T) -8 NIL NIL) (-1025 2513665 2515739 2515782 "SETAGG" 2516652 NIL SETAGG (NIL T) -9 NIL 2516992) (-1024 2513123 2513239 2513476 "SETAGG-" 2513481 NIL SETAGG- (NIL T T) -8 NIL NIL) (-1023 2512327 2512620 2512681 "SEGXCAT" 2512967 NIL SEGXCAT (NIL T T) -9 NIL 2513087) (-1022 2511383 2511993 2512175 "SEG" 2512180 NIL SEG (NIL T) -8 NIL NIL) (-1021 2510290 2510503 2510546 "SEGCAT" 2511128 NIL SEGCAT (NIL T) -9 NIL 2511366) (-1020 2509339 2509669 2509869 "SEGBIND" 2510125 NIL SEGBIND (NIL T) -8 NIL NIL) (-1019 2508960 2509019 2509132 "SEGBIND2" 2509274 NIL SEGBIND2 (NIL T T) -7 NIL NIL) (-1018 2508179 2508305 2508509 "SEG2" 2508804 NIL SEG2 (NIL T T) -7 NIL NIL) (-1017 2507616 2508114 2508161 "SDVAR" 2508166 NIL SDVAR (NIL T) -8 NIL NIL) (-1016 2499868 2507389 2507517 "SDPOL" 2507522 NIL SDPOL (NIL T) -8 NIL NIL) (-1015 2498461 2498727 2499046 "SCPKG" 2499583 NIL SCPKG (NIL T) -7 NIL NIL) (-1014 2497597 2497777 2497977 "SCOPE" 2498283 T SCOPE (NIL) -8 NIL NIL) (-1013 2496818 2496951 2497130 "SCACHE" 2497452 NIL SCACHE (NIL T) -7 NIL NIL) (-1012 2496257 2496578 2496663 "SAOS" 2496755 T SAOS (NIL) -8 NIL NIL) (-1011 2495822 2495857 2496030 "SAERFFC" 2496216 NIL SAERFFC (NIL T T T) -7 NIL NIL) (-1010 2489716 2495719 2495799 "SAE" 2495804 NIL SAE (NIL T T NIL) -8 NIL NIL) (-1009 2489309 2489344 2489503 "SAEFACT" 2489675 NIL SAEFACT (NIL T T T) -7 NIL NIL) (-1008 2487630 2487944 2488345 "RURPK" 2488975 NIL RURPK (NIL T NIL) -7 NIL NIL) (-1007 2486270 2486549 2486860 "RULESET" 2487464 NIL RULESET (NIL T T T) -8 NIL NIL) (-1006 2483468 2483971 2484434 "RULE" 2485952 NIL RULE (NIL T T T) -8 NIL NIL) (-1005 2483107 2483262 2483345 "RULECOLD" 2483420 NIL RULECOLD (NIL NIL) -8 NIL NIL) (-1004 2477970 2478764 2479683 "RSETGCD" 2482306 NIL RSETGCD (NIL T T T T T) -7 NIL NIL) (-1003 2467256 2472308 2472404 "RSETCAT" 2476496 NIL RSETCAT (NIL T T T T) -9 NIL 2477593) (-1002 2465184 2465723 2466546 "RSETCAT-" 2466551 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL) (-1001 2457585 2458960 2460479 "RSDCMPK" 2463783 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL) (-1000 2455591 2456032 2456106 "RRCC" 2457192 NIL RRCC (NIL T T) -9 NIL 2457536) (-999 2454944 2455118 2455395 "RRCC-" 2455400 NIL RRCC- (NIL T T T) -8 NIL NIL) (-998 2429311 2438936 2439000 "RPOLCAT" 2449502 NIL RPOLCAT (NIL T T T) -9 NIL 2452660) (-997 2420815 2423153 2426271 "RPOLCAT-" 2426276 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL) (-996 2411881 2419045 2419525 "ROUTINE" 2420355 T ROUTINE (NIL) -8 NIL NIL) (-995 2408586 2411437 2411584 "ROMAN" 2411754 T ROMAN (NIL) -8 NIL NIL) (-994 2406870 2407455 2407713 "ROIRC" 2408391 NIL ROIRC (NIL T T) -8 NIL NIL) (-993 2403275 2405579 2405607 "RNS" 2405903 T RNS (NIL) -9 NIL 2406173) (-992 2401789 2402172 2402703 "RNS-" 2402776 NIL RNS- (NIL T) -8 NIL NIL) (-991 2401215 2401623 2401651 "RNG" 2401656 T RNG (NIL) -9 NIL 2401677) (-990 2400613 2400975 2401015 "RMODULE" 2401075 NIL RMODULE (NIL T) -9 NIL 2401117) (-989 2399465 2399559 2399889 "RMCAT2" 2400514 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL) (-988 2396179 2398648 2398969 "RMATRIX" 2399200 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL) (-987 2389176 2391410 2391522 "RMATCAT" 2394831 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2395813) (-986 2388555 2388702 2389005 "RMATCAT-" 2389010 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL) (-985 2388125 2388200 2388326 "RINTERP" 2388474 NIL RINTERP (NIL NIL T) -7 NIL NIL) (-984 2387176 2387740 2387768 "RING" 2387878 T RING (NIL) -9 NIL 2387972) (-983 2386971 2387015 2387109 "RING-" 2387114 NIL RING- (NIL T) -8 NIL NIL) (-982 2385819 2386056 2386312 "RIDIST" 2386735 T RIDIST (NIL) -7 NIL NIL) (-981 2377139 2385291 2385495 "RGCHAIN" 2385667 NIL RGCHAIN (NIL T NIL) -8 NIL NIL) (-980 2374144 2374758 2375426 "RF" 2376503 NIL RF (NIL T) -7 NIL NIL) (-979 2373793 2373856 2373957 "RFFACTOR" 2374075 NIL RFFACTOR (NIL T) -7 NIL NIL) (-978 2373521 2373556 2373651 "RFFACT" 2373752 NIL RFFACT (NIL T) -7 NIL NIL) (-977 2371651 2372015 2372395 "RFDIST" 2373161 T RFDIST (NIL) -7 NIL NIL) (-976 2371109 2371201 2371361 "RETSOL" 2371553 NIL RETSOL (NIL T T) -7 NIL NIL) (-975 2370702 2370782 2370823 "RETRACT" 2371013 NIL RETRACT (NIL T) -9 NIL NIL) (-974 2370554 2370579 2370663 "RETRACT-" 2370668 NIL RETRACT- (NIL T T) -8 NIL NIL) (-973 2363412 2370211 2370336 "RESULT" 2370449 T RESULT (NIL) -8 NIL NIL) (-972 2361997 2362686 2362883 "RESRING" 2363315 NIL RESRING (NIL T T T T NIL) -8 NIL NIL) (-971 2361637 2361686 2361782 "RESLATC" 2361934 NIL RESLATC (NIL T) -7 NIL NIL) (-970 2361346 2361380 2361485 "REPSQ" 2361596 NIL REPSQ (NIL T) -7 NIL NIL) (-969 2358777 2359357 2359957 "REP" 2360766 T REP (NIL) -7 NIL NIL) (-968 2358478 2358512 2358621 "REPDB" 2358736 NIL REPDB (NIL T) -7 NIL NIL) (-967 2352423 2353802 2355022 "REP2" 2357290 NIL REP2 (NIL T) -7 NIL NIL) (-966 2348829 2349510 2350315 "REP1" 2351650 NIL REP1 (NIL T) -7 NIL NIL) (-965 2341573 2346988 2347441 "REGSET" 2348459 NIL REGSET (NIL T T T T) -8 NIL NIL) (-964 2340394 2340729 2340977 "REF" 2341358 NIL REF (NIL T) -8 NIL NIL) (-963 2339775 2339878 2340043 "REDORDER" 2340278 NIL REDORDER (NIL T T) -7 NIL NIL) (-962 2335744 2339009 2339230 "RECLOS" 2339606 NIL RECLOS (NIL T) -8 NIL NIL) (-961 2334801 2334982 2335195 "REALSOLV" 2335551 T REALSOLV (NIL) -7 NIL NIL) (-960 2334649 2334690 2334718 "REAL" 2334723 T REAL (NIL) -9 NIL 2334758) (-959 2331140 2331942 2332824 "REAL0Q" 2333814 NIL REAL0Q (NIL T) -7 NIL NIL) (-958 2326751 2327739 2328798 "REAL0" 2330121 NIL REAL0 (NIL T) -7 NIL NIL) (-957 2326159 2326231 2326436 "RDIV" 2326673 NIL RDIV (NIL T T T T T) -7 NIL NIL) (-956 2325232 2325406 2325617 "RDIST" 2325981 NIL RDIST (NIL T) -7 NIL NIL) (-955 2323836 2324123 2324492 "RDETRS" 2324940 NIL RDETRS (NIL T T) -7 NIL NIL) (-954 2321657 2322111 2322646 "RDETR" 2323378 NIL RDETR (NIL T T) -7 NIL NIL) (-953 2320273 2320551 2320952 "RDEEFS" 2321373 NIL RDEEFS (NIL T T) -7 NIL NIL) (-952 2318773 2319079 2319508 "RDEEF" 2319961 NIL RDEEF (NIL T T) -7 NIL NIL) (-951 2313058 2315990 2316018 "RCFIELD" 2317295 T RCFIELD (NIL) -9 NIL 2318025) (-950 2311127 2311631 2312324 "RCFIELD-" 2312397 NIL RCFIELD- (NIL T) -8 NIL NIL) (-949 2307459 2309244 2309285 "RCAGG" 2310356 NIL RCAGG (NIL T) -9 NIL 2310821) (-948 2307090 2307184 2307344 "RCAGG-" 2307349 NIL RCAGG- (NIL T T) -8 NIL NIL) (-947 2306434 2306546 2306708 "RATRET" 2306974 NIL RATRET (NIL T) -7 NIL NIL) (-946 2305991 2306058 2306177 "RATFACT" 2306362 NIL RATFACT (NIL T) -7 NIL NIL) (-945 2305306 2305426 2305576 "RANDSRC" 2305861 T RANDSRC (NIL) -7 NIL NIL) (-944 2305043 2305087 2305158 "RADUTIL" 2305255 T RADUTIL (NIL) -7 NIL NIL) (-943 2298050 2303786 2304103 "RADIX" 2304758 NIL RADIX (NIL NIL) -8 NIL NIL) (-942 2289619 2297894 2298022 "RADFF" 2298027 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL) (-941 2289271 2289346 2289374 "RADCAT" 2289531 T RADCAT (NIL) -9 NIL NIL) (-940 2289056 2289104 2289201 "RADCAT-" 2289206 NIL RADCAT- (NIL T) -8 NIL NIL) (-939 2287207 2288831 2288920 "QUEUE" 2289000 NIL QUEUE (NIL T) -8 NIL NIL) (-938 2283704 2287144 2287189 "QUAT" 2287194 NIL QUAT (NIL T) -8 NIL NIL) (-937 2283342 2283385 2283512 "QUATCT2" 2283655 NIL QUATCT2 (NIL T T T T) -7 NIL NIL) (-936 2277136 2280516 2280556 "QUATCAT" 2281335 NIL QUATCAT (NIL T) -9 NIL 2282100) (-935 2273280 2274317 2275704 "QUATCAT-" 2275798 NIL QUATCAT- (NIL T T) -8 NIL NIL) (-934 2270801 2272365 2272406 "QUAGG" 2272781 NIL QUAGG (NIL T) -9 NIL 2272956) (-933 2269726 2270199 2270371 "QFORM" 2270673 NIL QFORM (NIL NIL T) -8 NIL NIL) (-932 2261023 2266281 2266321 "QFCAT" 2266979 NIL QFCAT (NIL T) -9 NIL 2267972) (-931 2256595 2257796 2259387 "QFCAT-" 2259481 NIL QFCAT- (NIL T T) -8 NIL NIL) (-930 2256233 2256276 2256403 "QFCAT2" 2256546 NIL QFCAT2 (NIL T T T T) -7 NIL NIL) (-929 2255693 2255803 2255933 "QEQUAT" 2256123 T QEQUAT (NIL) -8 NIL NIL) (-928 2248860 2249931 2251114 "QCMPACK" 2254626 NIL QCMPACK (NIL T T T T T) -7 NIL NIL) (-927 2246436 2246857 2247285 "QALGSET" 2248515 NIL QALGSET (NIL T T T T) -8 NIL NIL) (-926 2245681 2245855 2246087 "QALGSET2" 2246256 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL) (-925 2244372 2244595 2244912 "PWFFINTB" 2245454 NIL PWFFINTB (NIL T T T T) -7 NIL NIL) (-924 2242560 2242728 2243081 "PUSHVAR" 2244186 NIL PUSHVAR (NIL T T T T) -7 NIL NIL) (-923 2238478 2239532 2239573 "PTRANFN" 2241457 NIL PTRANFN (NIL T) -9 NIL NIL) (-922 2236890 2237181 2237502 "PTPACK" 2238189 NIL PTPACK (NIL T) -7 NIL NIL) (-921 2236526 2236583 2236690 "PTFUNC2" 2236827 NIL PTFUNC2 (NIL T T) -7 NIL NIL) (-920 2231003 2235344 2235384 "PTCAT" 2235752 NIL PTCAT (NIL T) -9 NIL 2235914) (-919 2230661 2230696 2230820 "PSQFR" 2230962 NIL PSQFR (NIL T T T T) -7 NIL NIL) (-918 2229256 2229554 2229888 "PSEUDLIN" 2230359 NIL PSEUDLIN (NIL T) -7 NIL NIL) (-917 2216063 2218428 2220751 "PSETPK" 2227016 NIL PSETPK (NIL T T T T) -7 NIL NIL) (-916 2209150 2211864 2211958 "PSETCAT" 2214939 NIL PSETCAT (NIL T T T T) -9 NIL 2215753) (-915 2206988 2207622 2208441 "PSETCAT-" 2208446 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL) (-914 2206337 2206502 2206530 "PSCURVE" 2206798 T PSCURVE (NIL) -9 NIL 2206965) (-913 2202789 2204315 2204379 "PSCAT" 2205215 NIL PSCAT (NIL T T T) -9 NIL 2205455) (-912 2201853 2202069 2202468 "PSCAT-" 2202473 NIL PSCAT- (NIL T T T T) -8 NIL NIL) (-911 2200505 2201138 2201352 "PRTITION" 2201659 T PRTITION (NIL) -8 NIL NIL) (-910 2189603 2191809 2193997 "PRS" 2198367 NIL PRS (NIL T T) -7 NIL NIL) (-909 2187462 2188954 2188994 "PRQAGG" 2189177 NIL PRQAGG (NIL T) -9 NIL 2189279) (-908 2187033 2187135 2187163 "PROPLOG" 2187348 T PROPLOG (NIL) -9 NIL NIL) (-907 2184156 2184721 2185248 "PROPFRML" 2186538 NIL PROPFRML (NIL T) -8 NIL NIL) (-906 2183616 2183726 2183856 "PROPERTY" 2184046 T PROPERTY (NIL) -8 NIL NIL) (-905 2177390 2181782 2182602 "PRODUCT" 2182842 NIL PRODUCT (NIL T T) -8 NIL NIL) (-904 2174666 2176850 2177083 "PR" 2177201 NIL PR (NIL T T) -8 NIL NIL) (-903 2174462 2174494 2174553 "PRINT" 2174627 T PRINT (NIL) -7 NIL NIL) (-902 2173802 2173919 2174071 "PRIMES" 2174342 NIL PRIMES (NIL T) -7 NIL NIL) (-901 2171867 2172268 2172734 "PRIMELT" 2173381 NIL PRIMELT (NIL T) -7 NIL NIL) (-900 2171596 2171645 2171673 "PRIMCAT" 2171797 T PRIMCAT (NIL) -9 NIL NIL) (-899 2167757 2171534 2171579 "PRIMARR" 2171584 NIL PRIMARR (NIL T) -8 NIL NIL) (-898 2166764 2166942 2167170 "PRIMARR2" 2167575 NIL PRIMARR2 (NIL T T) -7 NIL NIL) (-897 2166407 2166463 2166574 "PREASSOC" 2166702 NIL PREASSOC (NIL T T) -7 NIL NIL) (-896 2165882 2166015 2166043 "PPCURVE" 2166248 T PPCURVE (NIL) -9 NIL 2166384) (-895 2165504 2165677 2165760 "PORTNUM" 2165819 T PORTNUM (NIL) -8 NIL NIL) (-894 2162863 2163262 2163854 "POLYROOT" 2165085 NIL POLYROOT (NIL T T T T T) -7 NIL NIL) (-893 2156769 2162469 2162628 "POLY" 2162736 NIL POLY (NIL T) -8 NIL NIL) (-892 2156154 2156212 2156445 "POLYLIFT" 2156705 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL) (-891 2152439 2152888 2153516 "POLYCATQ" 2155699 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL) (-890 2139480 2144877 2144941 "POLYCAT" 2148426 NIL POLYCAT (NIL T T T) -9 NIL 2150353) (-889 2132931 2134792 2137175 "POLYCAT-" 2137180 NIL POLYCAT- (NIL T T T T) -8 NIL NIL) (-888 2132520 2132588 2132707 "POLY2UP" 2132857 NIL POLY2UP (NIL NIL T) -7 NIL NIL) (-887 2132156 2132213 2132320 "POLY2" 2132457 NIL POLY2 (NIL T T) -7 NIL NIL) (-886 2130841 2131080 2131356 "POLUTIL" 2131930 NIL POLUTIL (NIL T T) -7 NIL NIL) (-885 2129203 2129480 2129810 "POLTOPOL" 2130563 NIL POLTOPOL (NIL NIL T) -7 NIL NIL) (-884 2124726 2129140 2129185 "POINT" 2129190 NIL POINT (NIL T) -8 NIL NIL) (-883 2122913 2123270 2123645 "PNTHEORY" 2124371 T PNTHEORY (NIL) -7 NIL NIL) (-882 2121341 2121638 2122047 "PMTOOLS" 2122611 NIL PMTOOLS (NIL T T T) -7 NIL NIL) (-881 2120934 2121012 2121129 "PMSYM" 2121257 NIL PMSYM (NIL T) -7 NIL NIL) (-880 2120444 2120513 2120687 "PMQFCAT" 2120859 NIL PMQFCAT (NIL T T T) -7 NIL NIL) (-879 2119799 2119909 2120065 "PMPRED" 2120321 NIL PMPRED (NIL T) -7 NIL NIL) (-878 2119195 2119281 2119442 "PMPREDFS" 2119700 NIL PMPREDFS (NIL T T T) -7 NIL NIL) (-877 2117841 2118049 2118433 "PMPLCAT" 2118957 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL) (-876 2117373 2117452 2117604 "PMLSAGG" 2117756 NIL PMLSAGG (NIL T T T) -7 NIL NIL) (-875 2116850 2116926 2117106 "PMKERNEL" 2117291 NIL PMKERNEL (NIL T T) -7 NIL NIL) (-874 2116467 2116542 2116655 "PMINS" 2116769 NIL PMINS (NIL T) -7 NIL NIL) (-873 2115897 2115966 2116181 "PMFS" 2116392 NIL PMFS (NIL T T T) -7 NIL NIL) (-872 2115128 2115246 2115450 "PMDOWN" 2115774 NIL PMDOWN (NIL T T T) -7 NIL NIL) (-871 2114291 2114450 2114632 "PMASS" 2114966 T PMASS (NIL) -7 NIL NIL) (-870 2113565 2113676 2113839 "PMASSFS" 2114177 NIL PMASSFS (NIL T T) -7 NIL NIL) (-869 2113220 2113288 2113382 "PLOTTOOL" 2113491 T PLOTTOOL (NIL) -7 NIL NIL) (-868 2107842 2109031 2110179 "PLOT" 2112092 T PLOT (NIL) -8 NIL NIL) (-867 2103656 2104690 2105611 "PLOT3D" 2106941 T PLOT3D (NIL) -8 NIL NIL) (-866 2102568 2102745 2102980 "PLOT1" 2103460 NIL PLOT1 (NIL T) -7 NIL NIL) (-865 2077962 2082634 2087485 "PLEQN" 2097834 NIL PLEQN (NIL T T T T) -7 NIL NIL) (-864 2077280 2077402 2077582 "PINTERP" 2077827 NIL PINTERP (NIL NIL T) -7 NIL NIL) (-863 2076973 2077020 2077123 "PINTERPA" 2077227 NIL PINTERPA (NIL T T) -7 NIL NIL) (-862 2076212 2076779 2076866 "PI" 2076906 T PI (NIL) -8 NIL NIL) (-861 2074604 2075589 2075617 "PID" 2075799 T PID (NIL) -9 NIL 2075933) (-860 2074329 2074366 2074454 "PICOERCE" 2074561 NIL PICOERCE (NIL T) -7 NIL NIL) (-859 2073649 2073788 2073964 "PGROEB" 2074185 NIL PGROEB (NIL T) -7 NIL NIL) (-858 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1976168 1976301 1976507 "PADE" 1976818 NIL PADE (NIL T T T) -7 NIL NIL) (-807 1974179 1975011 1975326 "OWP" 1975936 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL) (-806 1973288 1973784 1973956 "OVAR" 1974047 NIL OVAR (NIL NIL) -8 NIL NIL) (-805 1972552 1972673 1972834 "OUT" 1973147 T OUT (NIL) -7 NIL NIL) (-804 1961606 1963777 1965947 "OUTFORM" 1970402 T OUTFORM (NIL) -8 NIL NIL) (-803 1961014 1961335 1961424 "OSI" 1961537 T OSI (NIL) -8 NIL NIL) (-802 1960545 1960883 1960911 "OSGROUP" 1960916 T OSGROUP (NIL) -9 NIL 1960938) (-801 1959290 1959517 1959802 "ORTHPOL" 1960292 NIL ORTHPOL (NIL T) -7 NIL NIL) (-800 1956661 1958951 1959089 "OREUP" 1959233 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL) (-799 1954057 1956354 1956480 "ORESUP" 1956603 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL) (-798 1951592 1952092 1952652 "OREPCTO" 1953546 NIL OREPCTO (NIL T T) -7 NIL NIL) (-797 1945502 1947708 1947748 "OREPCAT" 1950069 NIL OREPCAT (NIL T) -9 NIL 1951172) (-796 1942650 1943432 1944489 "OREPCAT-" 1944494 NIL OREPCAT- (NIL T T) -8 NIL NIL) (-795 1941828 1942100 1942128 "ORDSET" 1942437 T ORDSET (NIL) -9 NIL 1942601) (-794 1941347 1941469 1941662 "ORDSET-" 1941667 NIL ORDSET- (NIL T) -8 NIL NIL) (-793 1939961 1940762 1940790 "ORDRING" 1940992 T ORDRING (NIL) -9 NIL 1941116) (-792 1939606 1939700 1939844 "ORDRING-" 1939849 NIL ORDRING- (NIL T) -8 NIL NIL) (-791 1938969 1939450 1939478 "ORDMON" 1939483 T ORDMON (NIL) -9 NIL 1939504) (-790 1938131 1938278 1938473 "ORDFUNS" 1938818 NIL ORDFUNS (NIL NIL T) -7 NIL NIL) (-789 1937643 1938002 1938030 "ORDFIN" 1938035 T ORDFIN (NIL) -9 NIL 1938056) (-788 1934155 1936229 1936638 "ORDCOMP" 1937267 NIL ORDCOMP (NIL T) -8 NIL NIL) (-787 1933421 1933548 1933734 "ORDCOMP2" 1934015 NIL ORDCOMP2 (NIL T T) -7 NIL NIL) (-786 1929928 1930811 1931648 "OPTPROB" 1932604 T OPTPROB (NIL) -8 NIL NIL) (-785 1926770 1927399 1928093 "OPTPACK" 1929254 T OPTPACK (NIL) -7 NIL NIL) (-784 1924496 1925232 1925260 "OPTCAT" 1926075 T OPTCAT (NIL) -9 NIL 1926721) (-783 1924264 1924303 1924369 "OPQUERY" 1924450 T OPQUERY (NIL) -7 NIL NIL) (-782 1921400 1922591 1923091 "OP" 1923796 NIL OP (NIL T) -8 NIL NIL) (-781 1918165 1920197 1920566 "ONECOMP" 1921064 NIL ONECOMP (NIL T) -8 NIL NIL) (-780 1917470 1917585 1917759 "ONECOMP2" 1918037 NIL ONECOMP2 (NIL T T) -7 NIL NIL) (-779 1916889 1916995 1917125 "OMSERVER" 1917360 T OMSERVER (NIL) -7 NIL NIL) (-778 1913778 1916330 1916370 "OMSAGG" 1916431 NIL OMSAGG (NIL T) -9 NIL 1916495) (-777 1912401 1912664 1912946 "OMPKG" 1913516 T OMPKG (NIL) -7 NIL NIL) (-776 1911831 1911934 1911962 "OM" 1912261 T OM (NIL) -9 NIL NIL) (-775 1910370 1911383 1911551 "OMLO" 1911712 NIL OMLO (NIL T T) -8 NIL NIL) (-774 1909300 1909447 1909673 "OMEXPR" 1910196 NIL OMEXPR (NIL T) -7 NIL NIL) (-773 1908618 1908846 1908982 "OMERR" 1909184 T OMERR (NIL) -8 NIL NIL) (-772 1907796 1908039 1908199 "OMERRK" 1908478 T OMERRK (NIL) -8 NIL NIL) (-771 1907274 1907473 1907581 "OMENC" 1907708 T OMENC (NIL) -8 NIL NIL) (-770 1901169 1902354 1903525 "OMDEV" 1906123 T OMDEV (NIL) -8 NIL NIL) (-769 1900238 1900409 1900603 "OMCONN" 1900995 T OMCONN (NIL) -8 NIL NIL) (-768 1898854 1899840 1899868 "OINTDOM" 1899873 T OINTDOM (NIL) -9 NIL 1899894) (-767 1894616 1895846 1896561 "OFMONOID" 1898171 NIL OFMONOID (NIL T) -8 NIL NIL) (-766 1894054 1894553 1894598 "ODVAR" 1894603 NIL ODVAR (NIL T) -8 NIL NIL) (-765 1891179 1893551 1893736 "ODR" 1893929 NIL ODR (NIL T T NIL) -8 NIL NIL) (-764 1883485 1890958 1891082 "ODPOL" 1891087 NIL ODPOL (NIL T) -8 NIL NIL) (-763 1877308 1883357 1883462 "ODP" 1883467 NIL ODP (NIL NIL T NIL) -8 NIL NIL) (-762 1876074 1876289 1876564 "ODETOOLS" 1877082 NIL ODETOOLS (NIL T T) -7 NIL NIL) (-761 1873043 1873699 1874415 "ODESYS" 1875407 NIL ODESYS (NIL T T) -7 NIL NIL) (-760 1867947 1868855 1869878 "ODERTRIC" 1872118 NIL ODERTRIC (NIL T T) -7 NIL NIL) (-759 1867373 1867455 1867649 "ODERED" 1867859 NIL ODERED (NIL T T T T T) -7 NIL NIL) (-758 1864275 1864823 1865498 "ODERAT" 1866796 NIL ODERAT (NIL T T) -7 NIL NIL) (-757 1861243 1861707 1862303 "ODEPRRIC" 1863804 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL) (-756 1859112 1859681 1860190 "ODEPROB" 1860754 T ODEPROB (NIL) -8 NIL NIL) (-755 1855644 1856127 1856773 "ODEPRIM" 1858591 NIL ODEPRIM (NIL T T T T) -7 NIL NIL) (-754 1854897 1854999 1855257 "ODEPAL" 1855536 NIL ODEPAL (NIL T T T T) -7 NIL NIL) (-753 1851099 1851880 1852734 "ODEPACK" 1854063 T ODEPACK (NIL) -7 NIL NIL) (-752 1850136 1850243 1850471 "ODEINT" 1850988 NIL ODEINT (NIL T T) -7 NIL NIL) (-751 1844237 1845662 1847109 "ODEIFTBL" 1848709 T ODEIFTBL (NIL) -8 NIL NIL) (-750 1839581 1840367 1841325 "ODEEF" 1843396 NIL ODEEF (NIL T T) -7 NIL NIL) (-749 1838918 1839007 1839236 "ODECONST" 1839486 NIL ODECONST (NIL T T T) -7 NIL NIL) (-748 1837076 1837709 1837737 "ODECAT" 1838340 T ODECAT (NIL) -9 NIL 1838869) (-747 1833948 1836788 1836907 "OCT" 1836989 NIL OCT (NIL T) -8 NIL NIL) (-746 1833586 1833629 1833756 "OCTCT2" 1833899 NIL OCTCT2 (NIL T T T T) -7 NIL NIL) (-745 1828420 1830858 1830898 "OC" 1831994 NIL OC (NIL T) -9 NIL 1832851) (-744 1825647 1826395 1827385 "OC-" 1827479 NIL OC- (NIL T T) -8 NIL NIL) (-743 1825026 1825468 1825496 "OCAMON" 1825501 T OCAMON (NIL) -9 NIL 1825522) (-742 1824584 1824899 1824927 "OASGP" 1824932 T OASGP (NIL) -9 NIL 1824952) (-741 1823872 1824335 1824363 "OAMONS" 1824403 T OAMONS (NIL) -9 NIL 1824446) (-740 1823313 1823720 1823748 "OAMON" 1823753 T OAMON (NIL) -9 NIL 1823773) (-739 1822618 1823110 1823138 "OAGROUP" 1823143 T OAGROUP (NIL) -9 NIL 1823163) (-738 1822308 1822358 1822446 "NUMTUBE" 1822562 NIL NUMTUBE (NIL T) -7 NIL NIL) (-737 1815881 1817399 1818935 "NUMQUAD" 1820792 T NUMQUAD (NIL) -7 NIL NIL) (-736 1811637 1812625 1813650 "NUMODE" 1814876 T NUMODE (NIL) -7 NIL NIL) (-735 1809041 1809887 1809915 "NUMINT" 1810832 T NUMINT (NIL) -9 NIL 1811588) (-734 1807989 1808186 1808404 "NUMFMT" 1808843 T NUMFMT (NIL) -7 NIL NIL) (-733 1794368 1797305 1799835 "NUMERIC" 1805498 NIL NUMERIC (NIL T) -7 NIL NIL) (-732 1788767 1793819 1793913 "NTSCAT" 1793918 NIL NTSCAT (NIL T T T T) -9 NIL 1793957) (-731 1787961 1788126 1788319 "NTPOLFN" 1788606 NIL NTPOLFN (NIL T) -7 NIL NIL) (-730 1775777 1784803 1785613 "NSUP" 1787183 NIL NSUP (NIL T) -8 NIL NIL) (-729 1775413 1775470 1775577 "NSUP2" 1775714 NIL NSUP2 (NIL T T) -7 NIL NIL) (-728 1765375 1775192 1775322 "NSMP" 1775327 NIL NSMP (NIL T T) -8 NIL NIL) (-727 1763807 1764108 1764465 "NREP" 1765063 NIL NREP (NIL T) -7 NIL NIL) (-726 1762398 1762650 1763008 "NPCOEF" 1763550 NIL NPCOEF (NIL T T T T T) -7 NIL NIL) (-725 1761464 1761579 1761795 "NORMRETR" 1762279 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL) (-724 1759511 1759801 1760209 "NORMPK" 1761172 NIL NORMPK (NIL T T T T T) -7 NIL NIL) (-723 1759196 1759224 1759348 "NORMMA" 1759477 NIL NORMMA (NIL T T T T) -7 NIL NIL) (-722 1759023 1759153 1759182 "NONE" 1759187 T NONE (NIL) -8 NIL NIL) (-721 1758812 1758841 1758910 "NONE1" 1758987 NIL NONE1 (NIL T) -7 NIL NIL) (-720 1758297 1758359 1758544 "NODE1" 1758744 NIL NODE1 (NIL T T) -7 NIL NIL) (-719 1756591 1757460 1757715 "NNI" 1758062 T NNI (NIL) -8 NIL NIL) (-718 1755011 1755324 1755688 "NLINSOL" 1756259 NIL NLINSOL (NIL T) -7 NIL NIL) (-717 1751178 1752146 1753068 "NIPROB" 1754109 T NIPROB (NIL) -8 NIL NIL) (-716 1749935 1750169 1750471 "NFINTBAS" 1750940 NIL NFINTBAS (NIL T T) -7 NIL NIL) (-715 1748643 1748874 1749155 "NCODIV" 1749703 NIL NCODIV (NIL T T) -7 NIL NIL) (-714 1748405 1748442 1748517 "NCNTFRAC" 1748600 NIL NCNTFRAC (NIL T) -7 NIL NIL) (-713 1746585 1746949 1747369 "NCEP" 1748030 NIL NCEP (NIL T) -7 NIL NIL) (-712 1745497 1746236 1746264 "NASRING" 1746374 T NASRING (NIL) -9 NIL 1746448) (-711 1745292 1745336 1745430 "NASRING-" 1745435 NIL NASRING- (NIL T) -8 NIL NIL) (-710 1744446 1744945 1744973 "NARNG" 1745090 T NARNG (NIL) -9 NIL 1745181) (-709 1744138 1744205 1744339 "NARNG-" 1744344 NIL NARNG- (NIL T) -8 NIL NIL) (-708 1743017 1743224 1743459 "NAGSP" 1743923 T NAGSP (NIL) -7 NIL NIL) (-707 1734441 1736087 1737722 "NAGS" 1741402 T NAGS (NIL) -7 NIL NIL) (-706 1733005 1733309 1733636 "NAGF07" 1734134 T NAGF07 (NIL) -7 NIL NIL) (-705 1727587 1728867 1730163 "NAGF04" 1731729 T NAGF04 (NIL) -7 NIL NIL) (-704 1720619 1722217 1723834 "NAGF02" 1725990 T NAGF02 (NIL) -7 NIL NIL) (-703 1715883 1716973 1718080 "NAGF01" 1719532 T NAGF01 (NIL) -7 NIL NIL) (-702 1709543 1711101 1712678 "NAGE04" 1714326 T NAGE04 (NIL) -7 NIL NIL) (-701 1700784 1702887 1704999 "NAGE02" 1707451 T NAGE02 (NIL) -7 NIL NIL) (-700 1696777 1697714 1698668 "NAGE01" 1699850 T NAGE01 (NIL) -7 NIL NIL) (-699 1694584 1695115 1695670 "NAGD03" 1696242 T NAGD03 (NIL) -7 NIL NIL) (-698 1686370 1688289 1690234 "NAGD02" 1692659 T NAGD02 (NIL) -7 NIL NIL) (-697 1680229 1681642 1683070 "NAGD01" 1684962 T NAGD01 (NIL) -7 NIL NIL) (-696 1676486 1677296 1678121 "NAGC06" 1679424 T NAGC06 (NIL) -7 NIL NIL) (-695 1674963 1675292 1675645 "NAGC05" 1676153 T NAGC05 (NIL) -7 NIL NIL) (-694 1674347 1674464 1674606 "NAGC02" 1674841 T NAGC02 (NIL) -7 NIL NIL) (-693 1673409 1673966 1674006 "NAALG" 1674085 NIL NAALG (NIL T) -9 NIL 1674146) (-692 1673244 1673273 1673363 "NAALG-" 1673368 NIL NAALG- (NIL T T) -8 NIL NIL) (-691 1667194 1668302 1669489 "MULTSQFR" 1672140 NIL MULTSQFR (NIL T T T T) -7 NIL NIL) (-690 1666513 1666588 1666772 "MULTFACT" 1667106 NIL MULTFACT (NIL T T T T) -7 NIL NIL) (-689 1659707 1663618 1663670 "MTSCAT" 1664730 NIL MTSCAT (NIL T T) -9 NIL 1665244) (-688 1659419 1659473 1659565 "MTHING" 1659647 NIL MTHING (NIL T) -7 NIL NIL) (-687 1659211 1659244 1659304 "MSYSCMD" 1659379 T MSYSCMD (NIL) -7 NIL NIL) (-686 1655323 1657966 1658286 "MSET" 1658924 NIL MSET (NIL T) -8 NIL NIL) (-685 1652419 1654885 1654926 "MSETAGG" 1654931 NIL MSETAGG (NIL T) -9 NIL 1654965) (-684 1648275 1649817 1650558 "MRING" 1651722 NIL MRING (NIL T T) -8 NIL NIL) (-683 1647845 1647912 1648041 "MRF2" 1648202 NIL MRF2 (NIL T T T) -7 NIL NIL) (-682 1647463 1647498 1647642 "MRATFAC" 1647804 NIL MRATFAC (NIL T T T T) -7 NIL NIL) (-681 1645075 1645370 1645801 "MPRFF" 1647168 NIL MPRFF (NIL T T T T) -7 NIL NIL) (-680 1639095 1644930 1645026 "MPOLY" 1645031 NIL MPOLY (NIL NIL T) -8 NIL NIL) (-679 1638585 1638620 1638828 "MPCPF" 1639054 NIL MPCPF (NIL T T T T) -7 NIL NIL) (-678 1638101 1638144 1638327 "MPC3" 1638536 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL) (-677 1637302 1637383 1637602 "MPC2" 1638016 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL) (-676 1635603 1635940 1636330 "MONOTOOL" 1636962 NIL MONOTOOL (NIL T T) -7 NIL NIL) (-675 1634728 1635063 1635091 "MONOID" 1635368 T MONOID (NIL) -9 NIL 1635540) (-674 1634106 1634269 1634512 "MONOID-" 1634517 NIL MONOID- (NIL T) -8 NIL NIL) (-673 1625087 1631073 1631132 "MONOGEN" 1631806 NIL MONOGEN (NIL T T) -9 NIL 1632262) (-672 1622305 1623040 1624040 "MONOGEN-" 1624159 NIL MONOGEN- (NIL T T T) -8 NIL NIL) (-671 1621165 1621585 1621613 "MONADWU" 1622005 T MONADWU (NIL) -9 NIL 1622243) (-670 1620537 1620696 1620944 "MONADWU-" 1620949 NIL MONADWU- (NIL T) -8 NIL NIL) (-669 1619923 1620141 1620169 "MONAD" 1620376 T MONAD (NIL) -9 NIL 1620488) (-668 1619608 1619686 1619818 "MONAD-" 1619823 NIL MONAD- (NIL T) -8 NIL NIL) (-667 1617859 1618521 1618800 "MOEBIUS" 1619361 NIL MOEBIUS (NIL T) -8 NIL NIL) (-666 1617253 1617631 1617671 "MODULE" 1617676 NIL MODULE (NIL T) -9 NIL 1617702) (-665 1616821 1616917 1617107 "MODULE-" 1617112 NIL MODULE- (NIL T T) -8 NIL NIL) (-664 1614492 1615187 1615513 "MODRING" 1616646 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL) (-663 1611448 1612613 1613130 "MODOP" 1614024 NIL MODOP (NIL T T) -8 NIL NIL) (-662 1609635 1610087 1610428 "MODMONOM" 1611247 NIL MODMONOM (NIL T T NIL) -8 NIL NIL) (-661 1599314 1607839 1608261 "MODMON" 1609263 NIL MODMON (NIL T T) -8 NIL NIL) (-660 1596440 1598158 1598434 "MODFIELD" 1599189 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL) (-659 1595444 1595721 1595911 "MMLFORM" 1596270 T MMLFORM (NIL) -8 NIL NIL) (-658 1594970 1595013 1595192 "MMAP" 1595395 NIL MMAP (NIL T T T T T T) -7 NIL NIL) (-657 1593207 1593984 1594024 "MLO" 1594441 NIL MLO (NIL T) -9 NIL 1594682) (-656 1590574 1591089 1591691 "MLIFT" 1592688 NIL MLIFT (NIL T T T T) -7 NIL NIL) (-655 1589965 1590049 1590203 "MKUCFUNC" 1590485 NIL MKUCFUNC (NIL T T T) -7 NIL NIL) (-654 1589564 1589634 1589757 "MKRECORD" 1589888 NIL MKRECORD (NIL T T) -7 NIL NIL) (-653 1588612 1588773 1589001 "MKFUNC" 1589375 NIL MKFUNC (NIL T) -7 NIL NIL) (-652 1588000 1588104 1588260 "MKFLCFN" 1588495 NIL MKFLCFN (NIL T) -7 NIL NIL) (-651 1587426 1587793 1587882 "MKCHSET" 1587944 NIL MKCHSET (NIL T) -8 NIL NIL) (-650 1586703 1586805 1586990 "MKBCFUNC" 1587319 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL) (-649 1583387 1586257 1586393 "MINT" 1586587 T MINT (NIL) -8 NIL NIL) (-648 1582199 1582442 1582719 "MHROWRED" 1583142 NIL MHROWRED (NIL T) -7 NIL NIL) (-647 1577470 1580644 1581068 "MFLOAT" 1581795 T MFLOAT (NIL) -8 NIL NIL) (-646 1576827 1576903 1577074 "MFINFACT" 1577382 NIL MFINFACT (NIL T T T T) -7 NIL NIL) (-645 1573142 1573990 1574874 "MESH" 1575963 T MESH (NIL) -7 NIL NIL) (-644 1571532 1571844 1572197 "MDDFACT" 1572829 NIL MDDFACT (NIL T) -7 NIL NIL) (-643 1568375 1570692 1570733 "MDAGG" 1570988 NIL MDAGG (NIL T) -9 NIL 1571131) (-642 1558073 1567668 1567875 "MCMPLX" 1568188 T MCMPLX (NIL) -8 NIL NIL) (-641 1557214 1557360 1557560 "MCDEN" 1557922 NIL MCDEN (NIL T T) -7 NIL NIL) (-640 1555104 1555374 1555754 "MCALCFN" 1556944 NIL MCALCFN (NIL T T T T) -7 NIL NIL) (-639 1554015 1554188 1554429 "MAYBE" 1554902 NIL MAYBE (NIL T) -8 NIL NIL) (-638 1551637 1552160 1552721 "MATSTOR" 1553486 NIL MATSTOR (NIL T) -7 NIL NIL) (-637 1547646 1551012 1551259 "MATRIX" 1551422 NIL MATRIX (NIL T) -8 NIL NIL) (-636 1543415 1544119 1544855 "MATLIN" 1547003 NIL MATLIN (NIL T T T T) -7 NIL NIL) (-635 1533613 1536751 1536827 "MATCAT" 1541665 NIL MATCAT (NIL T T T) -9 NIL 1543082) (-634 1529978 1530991 1532346 "MATCAT-" 1532351 NIL MATCAT- (NIL T T T T) -8 NIL NIL) (-633 1528580 1528733 1529064 "MATCAT2" 1529813 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-632 1526692 1527016 1527400 "MAPPKG3" 1528255 NIL MAPPKG3 (NIL T T T) -7 NIL NIL) (-631 1525673 1525846 1526068 "MAPPKG2" 1526516 NIL MAPPKG2 (NIL T T) -7 NIL NIL) (-630 1524172 1524456 1524783 "MAPPKG1" 1525379 NIL MAPPKG1 (NIL T) -7 NIL NIL) (-629 1523783 1523841 1523964 "MAPHACK3" 1524108 NIL MAPHACK3 (NIL T T T) -7 NIL NIL) (-628 1523375 1523436 1523550 "MAPHACK2" 1523715 NIL MAPHACK2 (NIL T T) -7 NIL NIL) (-627 1522813 1522916 1523058 "MAPHACK1" 1523266 NIL MAPHACK1 (NIL T) -7 NIL NIL) (-626 1520921 1521515 1521818 "MAGMA" 1522542 NIL MAGMA (NIL T) -8 NIL NIL) (-625 1517396 1519165 1519625 "M3D" 1520494 NIL M3D (NIL T) -8 NIL NIL) (-624 1511552 1515767 1515808 "LZSTAGG" 1516590 NIL LZSTAGG (NIL T) -9 NIL 1516885) (-623 1507525 1508683 1510140 "LZSTAGG-" 1510145 NIL LZSTAGG- (NIL T T) -8 NIL NIL) (-622 1504641 1505418 1505904 "LWORD" 1507071 NIL LWORD (NIL T) -8 NIL NIL) (-621 1497801 1504412 1504546 "LSQM" 1504551 NIL LSQM (NIL NIL T) -8 NIL NIL) (-620 1497025 1497164 1497392 "LSPP" 1497656 NIL LSPP (NIL T T T T) -7 NIL NIL) (-619 1494837 1495138 1495594 "LSMP" 1496714 NIL LSMP (NIL T T T T) -7 NIL NIL) (-618 1491616 1492290 1493020 "LSMP1" 1494139 NIL LSMP1 (NIL T) -7 NIL NIL) (-617 1485543 1490785 1490826 "LSAGG" 1490888 NIL LSAGG (NIL T) -9 NIL 1490966) (-616 1482238 1483162 1484375 "LSAGG-" 1484380 NIL LSAGG- (NIL T T) -8 NIL NIL) (-615 1479864 1481382 1481631 "LPOLY" 1482033 NIL LPOLY (NIL T T) -8 NIL NIL) (-614 1479446 1479531 1479654 "LPEFRAC" 1479773 NIL LPEFRAC (NIL T) -7 NIL NIL) (-613 1477793 1478540 1478793 "LO" 1479278 NIL LO (NIL T T T) -8 NIL NIL) (-612 1477447 1477559 1477587 "LOGIC" 1477698 T LOGIC (NIL) -9 NIL 1477778) (-611 1477309 1477332 1477403 "LOGIC-" 1477408 NIL LOGIC- (NIL T) -8 NIL NIL) (-610 1476502 1476642 1476835 "LODOOPS" 1477165 NIL LODOOPS (NIL T T) -7 NIL NIL) (-609 1473920 1476419 1476484 "LODO" 1476489 NIL LODO (NIL T NIL) -8 NIL NIL) (-608 1472466 1472701 1473052 "LODOF" 1473667 NIL LODOF (NIL T T) -7 NIL NIL) (-607 1468886 1471322 1471362 "LODOCAT" 1471794 NIL LODOCAT (NIL T) -9 NIL 1472005) (-606 1468620 1468678 1468804 "LODOCAT-" 1468809 NIL LODOCAT- (NIL T T) -8 NIL NIL) (-605 1465934 1468461 1468579 "LODO2" 1468584 NIL LODO2 (NIL T T) -8 NIL NIL) (-604 1463363 1465871 1465916 "LODO1" 1465921 NIL LODO1 (NIL T) -8 NIL NIL) (-603 1462226 1462391 1462702 "LODEEF" 1463186 NIL LODEEF (NIL T T T) -7 NIL NIL) (-602 1457513 1460357 1460398 "LNAGG" 1461345 NIL LNAGG (NIL T) -9 NIL 1461789) (-601 1456660 1456874 1457216 "LNAGG-" 1457221 NIL LNAGG- (NIL T T) -8 NIL NIL) (-600 1452825 1453587 1454225 "LMOPS" 1456076 NIL LMOPS (NIL T T NIL) -8 NIL NIL) (-599 1452223 1452585 1452625 "LMODULE" 1452685 NIL LMODULE (NIL T) -9 NIL 1452727) (-598 1449469 1451868 1451991 "LMDICT" 1452133 NIL LMDICT (NIL T) -8 NIL NIL) (-597 1442696 1448415 1448713 "LIST" 1449204 NIL LIST (NIL T) -8 NIL NIL) (-596 1442221 1442295 1442434 "LIST3" 1442616 NIL LIST3 (NIL T T T) -7 NIL NIL) (-595 1441228 1441406 1441634 "LIST2" 1442039 NIL LIST2 (NIL T T) -7 NIL NIL) (-594 1439362 1439674 1440073 "LIST2MAP" 1440875 NIL LIST2MAP (NIL T T) -7 NIL NIL) (-593 1438075 1438755 1438795 "LINEXP" 1439048 NIL LINEXP (NIL T) -9 NIL 1439196) (-592 1436722 1436982 1437279 "LINDEP" 1437827 NIL LINDEP (NIL T T) -7 NIL NIL) (-591 1433489 1434208 1434985 "LIMITRF" 1435977 NIL LIMITRF (NIL T) -7 NIL NIL) (-590 1431769 1432064 1432479 "LIMITPS" 1433184 NIL LIMITPS (NIL T T) -7 NIL NIL) (-589 1426224 1431280 1431508 "LIE" 1431590 NIL LIE (NIL T T) -8 NIL NIL) (-588 1425275 1425718 1425758 "LIECAT" 1425898 NIL LIECAT (NIL T) -9 NIL 1426049) (-587 1425116 1425143 1425231 "LIECAT-" 1425236 NIL LIECAT- (NIL T T) -8 NIL NIL) (-586 1417728 1424565 1424730 "LIB" 1424971 T LIB (NIL) -8 NIL NIL) (-585 1413365 1414246 1415181 "LGROBP" 1416845 NIL LGROBP (NIL NIL T) -7 NIL NIL) (-584 1411231 1411505 1411867 "LF" 1413086 NIL LF (NIL T T) -7 NIL NIL) (-583 1410071 1410763 1410791 "LFCAT" 1410998 T LFCAT (NIL) -9 NIL 1411137) (-582 1406983 1407609 1408295 "LEXTRIPK" 1409437 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL) (-581 1403689 1404553 1405056 "LEXP" 1406563 NIL LEXP (NIL T T NIL) -8 NIL NIL) (-580 1402087 1402400 1402801 "LEADCDET" 1403371 NIL LEADCDET (NIL T T T T) -7 NIL NIL) (-579 1401280 1401354 1401582 "LAZM3PK" 1402008 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL) (-578 1396197 1399359 1399896 "LAUPOL" 1400793 NIL LAUPOL (NIL T T) -8 NIL NIL) (-577 1395764 1395808 1395975 "LAPLACE" 1396147 NIL LAPLACE (NIL T T) -7 NIL NIL) (-576 1393692 1394865 1395116 "LA" 1395597 NIL LA (NIL T T T) -8 NIL NIL) (-575 1392755 1393349 1393389 "LALG" 1393450 NIL LALG (NIL T) -9 NIL 1393508) (-574 1392470 1392529 1392664 "LALG-" 1392669 NIL LALG- (NIL T T) -8 NIL NIL) (-573 1391380 1391567 1391864 "KOVACIC" 1392270 NIL KOVACIC (NIL T T) -7 NIL NIL) (-572 1391215 1391239 1391280 "KONVERT" 1391342 NIL KONVERT (NIL T) -9 NIL NIL) (-571 1391050 1391074 1391115 "KOERCE" 1391177 NIL KOERCE (NIL T) -9 NIL NIL) (-570 1388784 1389544 1389937 "KERNEL" 1390689 NIL KERNEL (NIL T) -8 NIL NIL) (-569 1388286 1388367 1388497 "KERNEL2" 1388698 NIL KERNEL2 (NIL T T) -7 NIL NIL) (-568 1382138 1386826 1386880 "KDAGG" 1387257 NIL KDAGG (NIL T T) -9 NIL 1387463) (-567 1381667 1381791 1381996 "KDAGG-" 1382001 NIL KDAGG- (NIL T T T) -8 NIL NIL) (-566 1374842 1381328 1381483 "KAFILE" 1381545 NIL KAFILE (NIL T) -8 NIL NIL) (-565 1369297 1374353 1374581 "JORDAN" 1374663 NIL JORDAN (NIL T T) -8 NIL NIL) (-564 1369026 1369085 1369172 "JAVACODE" 1369230 T JAVACODE (NIL) -8 NIL NIL) (-563 1365326 1367232 1367286 "IXAGG" 1368215 NIL IXAGG (NIL T T) -9 NIL 1368674) (-562 1364245 1364551 1364970 "IXAGG-" 1364975 NIL IXAGG- (NIL T T T) -8 NIL NIL) (-561 1359830 1364167 1364226 "IVECTOR" 1364231 NIL IVECTOR (NIL T NIL) -8 NIL NIL) (-560 1358596 1358833 1359099 "ITUPLE" 1359597 NIL ITUPLE (NIL T) -8 NIL NIL) (-559 1357032 1357209 1357515 "ITRIGMNP" 1358418 NIL ITRIGMNP (NIL T T T) -7 NIL NIL) (-558 1355777 1355981 1356264 "ITFUN3" 1356808 NIL ITFUN3 (NIL T T T) -7 NIL NIL) (-557 1355409 1355466 1355575 "ITFUN2" 1355714 NIL ITFUN2 (NIL T T) -7 NIL NIL) (-556 1353211 1354282 1354579 "ITAYLOR" 1355144 NIL ITAYLOR (NIL T) -8 NIL NIL) (-555 1342199 1347397 1348556 "ISUPS" 1352084 NIL ISUPS (NIL T) -8 NIL NIL) (-554 1341303 1341443 1341679 "ISUMP" 1342046 NIL ISUMP (NIL T T T T) -7 NIL NIL) (-553 1336567 1341104 1341183 "ISTRING" 1341256 NIL ISTRING (NIL NIL) -8 NIL NIL) (-552 1335780 1335861 1336076 "IRURPK" 1336481 NIL IRURPK (NIL T T T T T) -7 NIL NIL) (-551 1334716 1334917 1335157 "IRSN" 1335560 T IRSN (NIL) -7 NIL NIL) (-550 1332751 1333106 1333541 "IRRF2F" 1334354 NIL IRRF2F (NIL T) -7 NIL NIL) (-549 1332498 1332536 1332612 "IRREDFFX" 1332707 NIL IRREDFFX (NIL T) -7 NIL NIL) (-548 1331113 1331372 1331671 "IROOT" 1332231 NIL IROOT (NIL T) -7 NIL NIL) (-547 1327751 1328802 1329492 "IR" 1330455 NIL IR (NIL T) -8 NIL NIL) (-546 1325364 1325859 1326425 "IR2" 1327229 NIL IR2 (NIL T T) -7 NIL NIL) (-545 1324440 1324553 1324773 "IR2F" 1325247 NIL IR2F (NIL T T) -7 NIL NIL) (-544 1324231 1324265 1324325 "IPRNTPK" 1324400 T IPRNTPK (NIL) -7 NIL NIL) (-543 1320785 1324120 1324189 "IPF" 1324194 NIL IPF (NIL NIL) -8 NIL NIL) (-542 1319102 1320710 1320767 "IPADIC" 1320772 NIL IPADIC (NIL NIL NIL) -8 NIL NIL) (-541 1318601 1318659 1318848 "INVLAPLA" 1319038 NIL INVLAPLA (NIL T T) -7 NIL NIL) (-540 1308250 1310603 1312989 "INTTR" 1316265 NIL INTTR (NIL T T) -7 NIL NIL) (-539 1304598 1305339 1306202 "INTTOOLS" 1307436 NIL INTTOOLS (NIL T T) -7 NIL NIL) (-538 1304184 1304275 1304392 "INTSLPE" 1304501 T INTSLPE (NIL) -7 NIL NIL) (-537 1302134 1304107 1304166 "INTRVL" 1304171 NIL INTRVL (NIL T) -8 NIL NIL) (-536 1299741 1300253 1300827 "INTRF" 1301619 NIL INTRF (NIL T) -7 NIL NIL) (-535 1299156 1299253 1299394 "INTRET" 1299639 NIL INTRET (NIL T) -7 NIL NIL) (-534 1297158 1297547 1298016 "INTRAT" 1298764 NIL INTRAT (NIL T T) -7 NIL NIL) (-533 1294391 1294974 1295599 "INTPM" 1296643 NIL INTPM (NIL T T) -7 NIL NIL) (-532 1291100 1291699 1292443 "INTPAF" 1293777 NIL INTPAF (NIL T T T) -7 NIL NIL) (-531 1286343 1287289 1288324 "INTPACK" 1290085 T INTPACK (NIL) -7 NIL NIL) (-530 1283197 1286072 1286199 "INT" 1286236 T INT (NIL) -8 NIL NIL) (-529 1282449 1282601 1282809 "INTHERTR" 1283039 NIL INTHERTR (NIL T T) -7 NIL NIL) (-528 1281888 1281968 1282156 "INTHERAL" 1282363 NIL INTHERAL (NIL T T T T) -7 NIL NIL) (-527 1279734 1280177 1280634 "INTHEORY" 1281451 T INTHEORY (NIL) -7 NIL NIL) (-526 1271056 1272677 1274455 "INTG0" 1278086 NIL INTG0 (NIL T T T) -7 NIL NIL) (-525 1251629 1256419 1261229 "INTFTBL" 1266266 T INTFTBL (NIL) -8 NIL NIL) (-524 1250878 1251016 1251189 "INTFACT" 1251488 NIL INTFACT (NIL T) -7 NIL NIL) (-523 1248269 1248715 1249278 "INTEF" 1250432 NIL INTEF (NIL T T) -7 NIL NIL) (-522 1246731 1247480 1247508 "INTDOM" 1247809 T INTDOM (NIL) -9 NIL 1248016) (-521 1246100 1246274 1246516 "INTDOM-" 1246521 NIL INTDOM- (NIL T) -8 NIL NIL) (-520 1242593 1244525 1244579 "INTCAT" 1245378 NIL INTCAT (NIL T) -9 NIL 1245697) (-519 1242066 1242168 1242296 "INTBIT" 1242485 T INTBIT (NIL) -7 NIL NIL) (-518 1240741 1240895 1241208 "INTALG" 1241911 NIL INTALG (NIL T T T T T) -7 NIL NIL) (-517 1240198 1240288 1240458 "INTAF" 1240645 NIL INTAF (NIL T T) -7 NIL NIL) (-516 1233652 1240008 1240148 "INTABL" 1240153 NIL INTABL (NIL T T T) -8 NIL NIL) (-515 1228603 1231332 1231360 "INS" 1232328 T INS (NIL) -9 NIL 1233009) (-514 1225843 1226614 1227588 "INS-" 1227661 NIL INS- (NIL T) -8 NIL NIL) (-513 1224622 1224849 1225146 "INPSIGN" 1225596 NIL INPSIGN (NIL T T) -7 NIL NIL) (-512 1223740 1223857 1224054 "INPRODPF" 1224502 NIL INPRODPF (NIL T T) -7 NIL NIL) (-511 1222634 1222751 1222988 "INPRODFF" 1223620 NIL INPRODFF (NIL T T T T) -7 NIL NIL) (-510 1221634 1221786 1222046 "INNMFACT" 1222470 NIL INNMFACT (NIL T T T T) -7 NIL NIL) (-509 1220831 1220928 1221116 "INMODGCD" 1221533 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL) (-508 1219340 1219584 1219908 "INFSP" 1220576 NIL INFSP (NIL T T T) -7 NIL NIL) (-507 1218524 1218641 1218824 "INFPROD0" 1219220 NIL INFPROD0 (NIL T T) -7 NIL NIL) (-506 1215535 1216693 1217184 "INFORM" 1218041 T INFORM (NIL) -8 NIL NIL) (-505 1215145 1215205 1215303 "INFORM1" 1215470 NIL INFORM1 (NIL T) -7 NIL NIL) (-504 1214668 1214757 1214871 "INFINITY" 1215051 T INFINITY (NIL) -7 NIL NIL) (-503 1213285 1213534 1213855 "INEP" 1214416 NIL INEP (NIL T T T) -7 NIL NIL) (-502 1212561 1213182 1213247 "INDE" 1213252 NIL INDE (NIL T) -8 NIL NIL) (-501 1212125 1212193 1212310 "INCRMAPS" 1212488 NIL INCRMAPS (NIL T) -7 NIL NIL) (-500 1207436 1208361 1209305 "INBFF" 1211213 NIL INBFF (NIL T) -7 NIL NIL) (-499 1203931 1207281 1207384 "IMATRIX" 1207389 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL) (-498 1202643 1202766 1203081 "IMATQF" 1203787 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL) (-497 1200863 1201090 1201427 "IMATLIN" 1202399 NIL IMATLIN (NIL T T T T) -7 NIL NIL) (-496 1195489 1200787 1200845 "ILIST" 1200850 NIL ILIST (NIL T NIL) -8 NIL NIL) (-495 1193442 1195349 1195462 "IIARRAY2" 1195467 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL) (-494 1188810 1193353 1193417 "IFF" 1193422 NIL IFF (NIL NIL NIL) -8 NIL NIL) (-493 1183853 1188102 1188290 "IFARRAY" 1188667 NIL IFARRAY (NIL T NIL) -8 NIL NIL) (-492 1183060 1183757 1183830 "IFAMON" 1183835 NIL IFAMON (NIL T T NIL) -8 NIL NIL) (-491 1182644 1182709 1182763 "IEVALAB" 1182970 NIL IEVALAB (NIL T T) -9 NIL NIL) (-490 1182319 1182387 1182547 "IEVALAB-" 1182552 NIL IEVALAB- (NIL T T T) -8 NIL NIL) (-489 1181977 1182233 1182296 "IDPO" 1182301 NIL IDPO (NIL T T) -8 NIL NIL) (-488 1181254 1181866 1181941 "IDPOAMS" 1181946 NIL IDPOAMS (NIL T T) -8 NIL NIL) (-487 1180588 1181143 1181218 "IDPOAM" 1181223 NIL IDPOAM (NIL T T) -8 NIL NIL) (-486 1179674 1179924 1179977 "IDPC" 1180390 NIL IDPC (NIL T T) -9 NIL 1180539) (-485 1179170 1179566 1179639 "IDPAM" 1179644 NIL IDPAM (NIL T T) -8 NIL NIL) (-484 1178573 1179062 1179135 "IDPAG" 1179140 NIL IDPAG (NIL T T) -8 NIL NIL) (-483 1174828 1175676 1176571 "IDECOMP" 1177730 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL) (-482 1167701 1168751 1169798 "IDEAL" 1173864 NIL IDEAL (NIL T T T T) -8 NIL NIL) (-481 1166865 1166977 1167176 "ICDEN" 1167585 NIL ICDEN (NIL T T T T) -7 NIL NIL) (-480 1165964 1166345 1166492 "ICARD" 1166738 T ICARD (NIL) -8 NIL NIL) (-479 1164036 1164349 1164752 "IBPTOOLS" 1165641 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL) (-478 1159670 1163656 1163769 "IBITS" 1163955 NIL IBITS (NIL NIL) -8 NIL NIL) (-477 1156393 1156969 1157664 "IBATOOL" 1159087 NIL IBATOOL (NIL T T T) -7 NIL NIL) (-476 1154173 1154634 1155167 "IBACHIN" 1155928 NIL IBACHIN (NIL T T T) -7 NIL NIL) (-475 1152050 1154019 1154122 "IARRAY2" 1154127 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL) (-474 1148203 1151976 1152033 "IARRAY1" 1152038 NIL IARRAY1 (NIL T NIL) -8 NIL NIL) (-473 1142141 1146621 1147099 "IAN" 1147745 T IAN (NIL) -8 NIL NIL) (-472 1141652 1141709 1141882 "IALGFACT" 1142078 NIL IALGFACT (NIL T T T T) -7 NIL NIL) (-471 1141180 1141293 1141321 "HYPCAT" 1141528 T HYPCAT (NIL) -9 NIL NIL) (-470 1140718 1140835 1141021 "HYPCAT-" 1141026 NIL HYPCAT- (NIL T) -8 NIL NIL) (-469 1140340 1140513 1140596 "HOSTNAME" 1140655 T HOSTNAME (NIL) -8 NIL NIL) (-468 1137020 1138351 1138392 "HOAGG" 1139373 NIL HOAGG (NIL T) -9 NIL 1140052) (-467 1135614 1136013 1136539 "HOAGG-" 1136544 NIL HOAGG- (NIL T T) -8 NIL NIL) (-466 1129444 1135055 1135221 "HEXADEC" 1135468 T HEXADEC (NIL) -8 NIL NIL) (-465 1128192 1128414 1128677 "HEUGCD" 1129221 NIL HEUGCD (NIL T) -7 NIL NIL) (-464 1127295 1128029 1128159 "HELLFDIV" 1128164 NIL HELLFDIV (NIL T T T T) -8 NIL NIL) (-463 1125523 1127072 1127160 "HEAP" 1127239 NIL HEAP (NIL T) -8 NIL NIL) (-462 1124862 1125102 1125230 "HEADAST" 1125415 T HEADAST (NIL) -8 NIL NIL) (-461 1118729 1124777 1124839 "HDP" 1124844 NIL HDP (NIL NIL T) -8 NIL NIL) (-460 1112441 1118366 1118517 "HDMP" 1118630 NIL HDMP (NIL NIL T) -8 NIL NIL) (-459 1111766 1111905 1112069 "HB" 1112297 T HB (NIL) -7 NIL NIL) (-458 1105263 1111612 1111716 "HASHTBL" 1111721 NIL HASHTBL (NIL T T NIL) -8 NIL NIL) (-457 1103016 1104891 1105070 "HACKPI" 1105104 T HACKPI (NIL) -8 NIL NIL) (-456 1098712 1102870 1102982 "GTSET" 1102987 NIL GTSET (NIL T T T T) -8 NIL NIL) (-455 1092238 1098590 1098688 "GSTBL" 1098693 NIL GSTBL (NIL T T T NIL) -8 NIL NIL) (-454 1084471 1091274 1091538 "GSERIES" 1092029 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL) (-453 1083494 1083947 1083975 "GROUP" 1084236 T GROUP (NIL) -9 NIL 1084395) (-452 1082610 1082833 1083177 "GROUP-" 1083182 NIL GROUP- (NIL T) -8 NIL NIL) (-451 1080979 1081298 1081685 "GROEBSOL" 1082287 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL) (-450 1079920 1080182 1080233 "GRMOD" 1080762 NIL GRMOD (NIL T T) -9 NIL 1080930) (-449 1079688 1079724 1079852 "GRMOD-" 1079857 NIL GRMOD- (NIL T T T) -8 NIL NIL) (-448 1075013 1076042 1077042 "GRIMAGE" 1078708 T GRIMAGE (NIL) -8 NIL NIL) (-447 1073480 1073740 1074064 "GRDEF" 1074709 T GRDEF (NIL) -7 NIL NIL) (-446 1072924 1073040 1073181 "GRAY" 1073359 T GRAY (NIL) -7 NIL NIL) (-445 1072158 1072538 1072589 "GRALG" 1072742 NIL GRALG (NIL T T) -9 NIL 1072834) (-444 1071819 1071892 1072055 "GRALG-" 1072060 NIL GRALG- (NIL T T T) -8 NIL NIL) (-443 1068627 1071408 1071584 "GPOLSET" 1071726 NIL GPOLSET (NIL T T T T) -8 NIL NIL) (-442 1067983 1068040 1068297 "GOSPER" 1068564 NIL GOSPER (NIL T T T T T) -7 NIL NIL) (-441 1063742 1064421 1064947 "GMODPOL" 1067682 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL) (-440 1062747 1062931 1063169 "GHENSEL" 1063554 NIL GHENSEL (NIL T T) -7 NIL NIL) (-439 1056813 1057656 1058682 "GENUPS" 1061831 NIL GENUPS (NIL T T) -7 NIL NIL) (-438 1056510 1056561 1056650 "GENUFACT" 1056756 NIL GENUFACT (NIL T) -7 NIL NIL) (-437 1055922 1055999 1056164 "GENPGCD" 1056428 NIL GENPGCD (NIL T T T T) -7 NIL NIL) (-436 1055396 1055431 1055644 "GENMFACT" 1055881 NIL GENMFACT (NIL T T T T T) -7 NIL NIL) (-435 1053964 1054219 1054526 "GENEEZ" 1055139 NIL GENEEZ (NIL T T) -7 NIL NIL) (-434 1047838 1053577 1053738 "GDMP" 1053887 NIL GDMP (NIL NIL T T) -8 NIL NIL) (-433 1037215 1041609 1042715 "GCNAALG" 1046821 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL) (-432 1035637 1036509 1036537 "GCDDOM" 1036792 T GCDDOM (NIL) -9 NIL 1036949) (-431 1035107 1035234 1035449 "GCDDOM-" 1035454 NIL GCDDOM- (NIL T) -8 NIL NIL) (-430 1033779 1033964 1034268 "GB" 1034886 NIL GB (NIL T T T T) -7 NIL NIL) (-429 1022399 1024725 1027117 "GBINTERN" 1031470 NIL GBINTERN (NIL T T T T) -7 NIL NIL) (-428 1020236 1020528 1020949 "GBF" 1022074 NIL GBF (NIL T T T T) -7 NIL NIL) (-427 1019017 1019182 1019449 "GBEUCLID" 1020052 NIL GBEUCLID (NIL T T T T) -7 NIL NIL) (-426 1018366 1018491 1018640 "GAUSSFAC" 1018888 T GAUSSFAC (NIL) -7 NIL NIL) (-425 1016743 1017045 1017358 "GALUTIL" 1018085 NIL GALUTIL (NIL T) -7 NIL NIL) (-424 1015060 1015334 1015657 "GALPOLYU" 1016470 NIL GALPOLYU (NIL T T) -7 NIL NIL) (-423 1012449 1012739 1013144 "GALFACTU" 1014757 NIL GALFACTU (NIL T T T) -7 NIL NIL) (-422 1004255 1005754 1007362 "GALFACT" 1010881 NIL GALFACT (NIL T) -7 NIL NIL) (-421 1001643 1002301 1002329 "FVFUN" 1003485 T FVFUN (NIL) -9 NIL 1004205) (-420 1000909 1001091 1001119 "FVC" 1001410 T FVC (NIL) -9 NIL 1001593) (-419 1000551 1000706 1000787 "FUNCTION" 1000861 NIL FUNCTION (NIL NIL) -8 NIL NIL) (-418 998221 998772 999261 "FT" 1000082 T FT (NIL) -8 NIL NIL) (-417 997039 997522 997725 "FTEM" 998038 T FTEM (NIL) -8 NIL NIL) (-416 995304 995592 995994 "FSUPFACT" 996731 NIL FSUPFACT (NIL T T T) -7 NIL NIL) (-415 993701 993990 994322 "FST" 994992 T FST (NIL) -8 NIL NIL) (-414 992876 992982 993176 "FSRED" 993583 NIL FSRED (NIL T T) -7 NIL NIL) (-413 991555 991810 992164 "FSPRMELT" 992591 NIL FSPRMELT (NIL T T) -7 NIL NIL) (-412 988640 989078 989577 "FSPECF" 991118 NIL FSPECF (NIL T T) -7 NIL NIL) (-411 971014 979571 979611 "FS" 983449 NIL FS (NIL T) -9 NIL 985731) (-410 959664 962654 966710 "FS-" 967007 NIL FS- (NIL T T) -8 NIL NIL) (-409 959180 959234 959410 "FSINT" 959605 NIL FSINT (NIL T T) -7 NIL NIL) (-408 957461 958173 958476 "FSERIES" 958959 NIL FSERIES (NIL T T) -8 NIL NIL) (-407 956479 956595 956825 "FSCINT" 957341 NIL FSCINT (NIL T T) -7 NIL NIL) (-406 952714 955424 955465 "FSAGG" 955835 NIL FSAGG (NIL T) -9 NIL 956094) (-405 950476 951077 951873 "FSAGG-" 951968 NIL FSAGG- (NIL T T) -8 NIL NIL) (-404 949518 949661 949888 "FSAGG2" 950329 NIL FSAGG2 (NIL T T T T) -7 NIL NIL) (-403 947177 947456 948009 "FS2UPS" 949236 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL) (-402 946763 946806 946959 "FS2" 947128 NIL FS2 (NIL T T T T) -7 NIL NIL) (-401 945623 945794 946102 "FS2EXPXP" 946588 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL) (-400 945049 945164 945316 "FRUTIL" 945503 NIL FRUTIL (NIL T) -7 NIL NIL) (-399 936469 940548 941904 "FR" 943725 NIL FR (NIL T) -8 NIL NIL) (-398 931546 934189 934229 "FRNAALG" 935625 NIL FRNAALG (NIL T) -9 NIL 936232) (-397 927224 928295 929570 "FRNAALG-" 930320 NIL FRNAALG- (NIL T T) -8 NIL NIL) (-396 926862 926905 927032 "FRNAAF2" 927175 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL) (-395 925227 925719 926013 "FRMOD" 926675 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL) (-394 922949 923618 923934 "FRIDEAL" 925018 NIL FRIDEAL (NIL T T T T) -8 NIL NIL) (-393 922148 922235 922522 "FRIDEAL2" 922856 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL) (-392 921406 921814 921855 "FRETRCT" 921860 NIL FRETRCT (NIL T) -9 NIL 922031) (-391 920518 920749 921100 "FRETRCT-" 921105 NIL FRETRCT- (NIL T T) -8 NIL NIL) (-390 917728 918948 919007 "FRAMALG" 919889 NIL FRAMALG (NIL T T) -9 NIL 920181) (-389 915861 916317 916947 "FRAMALG-" 917170 NIL FRAMALG- (NIL T T T) -8 NIL NIL) (-388 909763 915336 915612 "FRAC" 915617 NIL FRAC (NIL T) -8 NIL NIL) (-387 909399 909456 909563 "FRAC2" 909700 NIL FRAC2 (NIL T T) -7 NIL NIL) (-386 909035 909092 909199 "FR2" 909336 NIL FR2 (NIL T T) -7 NIL NIL) (-385 903709 906622 906650 "FPS" 907769 T FPS (NIL) -9 NIL 908325) (-384 903158 903267 903431 "FPS-" 903577 NIL FPS- (NIL T) -8 NIL NIL) (-383 900607 902304 902332 "FPC" 902557 T FPC (NIL) -9 NIL 902699) (-382 900400 900440 900537 "FPC-" 900542 NIL FPC- (NIL T) -8 NIL NIL) (-381 899279 899889 899930 "FPATMAB" 899935 NIL FPATMAB (NIL T) -9 NIL 900087) (-380 896979 897455 897881 "FPARFRAC" 898916 NIL FPARFRAC (NIL T T) -8 NIL NIL) (-379 892372 892871 893553 "FORTRAN" 896411 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL) (-378 890088 890588 891127 "FORT" 891853 T FORT (NIL) -7 NIL NIL) (-377 887764 888326 888354 "FORTFN" 889414 T FORTFN (NIL) -9 NIL 890038) (-376 887528 887578 887606 "FORTCAT" 887665 T FORTCAT (NIL) -9 NIL 887727) (-375 885588 886071 886470 "FORMULA" 887149 T FORMULA (NIL) -8 NIL NIL) (-374 885376 885406 885475 "FORMULA1" 885552 NIL FORMULA1 (NIL T) -7 NIL NIL) (-373 884899 884951 885124 "FORDER" 885318 NIL FORDER (NIL T T T T) -7 NIL NIL) (-372 883995 884159 884352 "FOP" 884726 T FOP (NIL) -7 NIL NIL) (-371 882603 883275 883449 "FNLA" 883877 NIL FNLA (NIL NIL NIL T) -8 NIL NIL) (-370 881272 881661 881689 "FNCAT" 882261 T FNCAT (NIL) -9 NIL 882554) (-369 880838 881231 881259 "FNAME" 881264 T FNAME (NIL) -8 NIL NIL) (-368 879498 880471 880499 "FMTC" 880504 T FMTC (NIL) -9 NIL 880539) (-367 875816 877023 877651 "FMONOID" 878903 NIL FMONOID (NIL T) -8 NIL NIL) (-366 875036 875559 875707 "FM" 875712 NIL FM (NIL T T) -8 NIL NIL) (-365 872460 873106 873134 "FMFUN" 874278 T FMFUN (NIL) -9 NIL 874986) (-364 871729 871910 871938 "FMC" 872228 T FMC (NIL) -9 NIL 872410) (-363 868959 869793 869846 "FMCAT" 871028 NIL FMCAT (NIL T T) -9 NIL 871522) (-362 867854 868727 868826 "FM1" 868904 NIL FM1 (NIL T T) -8 NIL NIL) (-361 865628 866044 866538 "FLOATRP" 867405 NIL FLOATRP (NIL T) -7 NIL NIL) (-360 859114 863284 863914 "FLOAT" 865018 T FLOAT (NIL) -8 NIL NIL) (-359 856552 857052 857630 "FLOATCP" 858581 NIL FLOATCP (NIL T) -7 NIL NIL) (-358 855341 856189 856229 "FLINEXP" 856234 NIL FLINEXP (NIL T) -9 NIL 856327) (-357 854496 854731 855058 "FLINEXP-" 855063 NIL FLINEXP- (NIL T T) -8 NIL NIL) (-356 853572 853716 853940 "FLASORT" 854348 NIL FLASORT (NIL T T) -7 NIL NIL) (-355 850791 851633 851685 "FLALG" 852912 NIL FLALG (NIL T T) -9 NIL 853379) (-354 844576 848278 848319 "FLAGG" 849581 NIL FLAGG (NIL T) -9 NIL 850233) (-353 843302 843641 844131 "FLAGG-" 844136 NIL FLAGG- (NIL T T) -8 NIL NIL) (-352 842344 842487 842714 "FLAGG2" 843155 NIL FLAGG2 (NIL T T T T) -7 NIL NIL) (-351 839317 840335 840394 "FINRALG" 841522 NIL FINRALG (NIL T T) -9 NIL 842030) (-350 838477 838706 839045 "FINRALG-" 839050 NIL FINRALG- (NIL T T T) -8 NIL NIL) (-349 837884 838097 838125 "FINITE" 838321 T FINITE (NIL) -9 NIL 838428) (-348 830344 832505 832545 "FINAALG" 836212 NIL FINAALG (NIL T) -9 NIL 837665) (-347 825685 826726 827870 "FINAALG-" 829249 NIL FINAALG- (NIL T T) -8 NIL NIL) (-346 825080 825440 825543 "FILE" 825615 NIL FILE (NIL T) -8 NIL NIL) (-345 823765 824077 824131 "FILECAT" 824815 NIL FILECAT (NIL T T) -9 NIL 825031) (-344 821628 823184 823212 "FIELD" 823252 T FIELD (NIL) -9 NIL 823332) (-343 820248 820633 821144 "FIELD-" 821149 NIL FIELD- (NIL T) -8 NIL NIL) (-342 818063 818885 819231 "FGROUP" 819935 NIL FGROUP (NIL T) -8 NIL NIL) (-341 817153 817317 817537 "FGLMICPK" 817895 NIL FGLMICPK (NIL T NIL) -7 NIL NIL) (-340 812955 817078 817135 "FFX" 817140 NIL FFX (NIL T NIL) -8 NIL NIL) (-339 812556 812617 812752 "FFSLPE" 812888 NIL FFSLPE (NIL T T T) -7 NIL NIL) (-338 808549 809328 810124 "FFPOLY" 811792 NIL FFPOLY (NIL T) -7 NIL NIL) (-337 808053 808089 808298 "FFPOLY2" 808507 NIL FFPOLY2 (NIL T T) -7 NIL NIL) (-336 803874 807972 808035 "FFP" 808040 NIL FFP (NIL T NIL) -8 NIL NIL) (-335 799242 803785 803849 "FF" 803854 NIL FF (NIL NIL NIL) -8 NIL NIL) (-334 794338 798585 798775 "FFNBX" 799096 NIL FFNBX (NIL T NIL) -8 NIL NIL) (-333 789247 793473 793731 "FFNBP" 794192 NIL FFNBP (NIL T NIL) -8 NIL NIL) (-332 783850 788531 788742 "FFNB" 789080 NIL FFNB (NIL NIL NIL) -8 NIL NIL) (-331 782682 782880 783195 "FFINTBAS" 783647 NIL FFINTBAS (NIL T T T) -7 NIL NIL) (-330 778906 781146 781174 "FFIELDC" 781794 T FFIELDC (NIL) -9 NIL 782170) (-329 777569 777939 778436 "FFIELDC-" 778441 NIL FFIELDC- (NIL T) -8 NIL NIL) (-328 777139 777184 777308 "FFHOM" 777511 NIL FFHOM (NIL T T T) -7 NIL NIL) (-327 774837 775321 775838 "FFF" 776654 NIL FFF (NIL T) -7 NIL NIL) (-326 770425 774579 774680 "FFCGX" 774780 NIL FFCGX (NIL T NIL) -8 NIL NIL) (-325 766027 770157 770264 "FFCGP" 770368 NIL FFCGP (NIL T NIL) -8 NIL NIL) (-324 761180 765754 765862 "FFCG" 765963 NIL FFCG (NIL NIL NIL) -8 NIL NIL) (-323 743126 752249 752335 "FFCAT" 757500 NIL FFCAT (NIL T T T) -9 NIL 758987) (-322 738324 739371 740685 "FFCAT-" 741915 NIL FFCAT- (NIL T T T T) -8 NIL NIL) (-321 737735 737778 738013 "FFCAT2" 738275 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-320 726935 730725 731942 "FEXPR" 736590 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL) (-319 725935 726370 726411 "FEVALAB" 726495 NIL FEVALAB (NIL T) -9 NIL 726756) (-318 725094 725304 725642 "FEVALAB-" 725647 NIL FEVALAB- (NIL T T) -8 NIL NIL) (-317 723687 724477 724680 "FDIV" 724993 NIL FDIV (NIL T T T T) -8 NIL NIL) (-316 720754 721469 721584 "FDIVCAT" 723152 NIL FDIVCAT (NIL T T T T) -9 NIL 723589) (-315 720516 720543 720713 "FDIVCAT-" 720718 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL) (-314 719736 719823 720100 "FDIV2" 720423 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL) (-313 718422 718681 718970 "FCPAK1" 719467 T FCPAK1 (NIL) -7 NIL NIL) (-312 717550 717922 718063 "FCOMP" 718313 NIL FCOMP (NIL T) -8 NIL NIL) (-311 701185 704599 708160 "FC" 714009 T FC (NIL) -8 NIL NIL) (-310 693781 697827 697867 "FAXF" 699669 NIL FAXF (NIL T) -9 NIL 700360) (-309 691060 691715 692540 "FAXF-" 693005 NIL FAXF- (NIL T T) -8 NIL NIL) (-308 686160 690436 690612 "FARRAY" 690917 NIL FARRAY (NIL T) -8 NIL NIL) (-307 681551 683622 683674 "FAMR" 684686 NIL FAMR (NIL T T) -9 NIL 685146) (-306 680442 680744 681178 "FAMR-" 681183 NIL FAMR- (NIL T T T) -8 NIL NIL) (-305 679638 680364 680417 "FAMONOID" 680422 NIL FAMONOID (NIL T) -8 NIL NIL) (-304 677471 678155 678208 "FAMONC" 679149 NIL FAMONC (NIL T T) -9 NIL 679534) (-303 676163 677225 677362 "FAGROUP" 677367 NIL FAGROUP (NIL T) -8 NIL NIL) (-302 673966 674285 674687 "FACUTIL" 675844 NIL FACUTIL (NIL T T T T) -7 NIL NIL) (-301 673065 673250 673472 "FACTFUNC" 673776 NIL FACTFUNC (NIL T) -7 NIL NIL) (-300 665385 672316 672528 "EXPUPXS" 672921 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL) (-299 662868 663408 663994 "EXPRTUBE" 664819 T EXPRTUBE (NIL) -7 NIL NIL) (-298 659062 659654 660391 "EXPRODE" 662207 NIL EXPRODE (NIL T T) -7 NIL NIL) (-297 644221 657721 658147 "EXPR" 658668 NIL EXPR (NIL T) -8 NIL NIL) (-296 638649 639236 640048 "EXPR2UPS" 643519 NIL EXPR2UPS (NIL T T) -7 NIL NIL) (-295 638285 638342 638449 "EXPR2" 638586 NIL EXPR2 (NIL T T) -7 NIL NIL) (-294 629639 637422 637717 "EXPEXPAN" 638123 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL) (-293 629466 629596 629625 "EXIT" 629630 T EXIT (NIL) -8 NIL NIL) (-292 629093 629155 629268 "EVALCYC" 629398 NIL EVALCYC (NIL T) -7 NIL NIL) (-291 628634 628752 628793 "EVALAB" 628963 NIL EVALAB (NIL T) -9 NIL 629067) (-290 628115 628237 628458 "EVALAB-" 628463 NIL EVALAB- (NIL T T) -8 NIL NIL) (-289 625578 626890 626918 "EUCDOM" 627473 T EUCDOM (NIL) -9 NIL 627823) (-288 623983 624425 625015 "EUCDOM-" 625020 NIL EUCDOM- (NIL T) -8 NIL NIL) (-287 611561 614309 617049 "ESTOOLS" 621263 T ESTOOLS (NIL) -7 NIL NIL) (-286 611197 611254 611361 "ESTOOLS2" 611498 NIL ESTOOLS2 (NIL T T) -7 NIL NIL) (-285 610948 610990 611070 "ESTOOLS1" 611149 NIL ESTOOLS1 (NIL T) -7 NIL NIL) (-284 604886 606610 606638 "ES" 609402 T ES (NIL) -9 NIL 610808) (-283 599833 601120 602937 "ES-" 603101 NIL ES- (NIL T) -8 NIL NIL) (-282 596208 596968 597748 "ESCONT" 599073 T ESCONT (NIL) -7 NIL NIL) (-281 595953 595985 596067 "ESCONT1" 596170 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL) (-280 595628 595678 595778 "ES2" 595897 NIL ES2 (NIL T T) -7 NIL NIL) (-279 595258 595316 595425 "ES1" 595564 NIL ES1 (NIL T T) -7 NIL NIL) (-278 594474 594603 594779 "ERROR" 595102 T ERROR (NIL) -7 NIL NIL) (-277 587977 594333 594424 "EQTBL" 594429 NIL EQTBL (NIL T T) -8 NIL NIL) (-276 580414 583295 584742 "EQ" 586563 NIL -3784 (NIL T) -8 NIL NIL) (-275 580046 580103 580212 "EQ2" 580351 NIL EQ2 (NIL T T) -7 NIL NIL) (-274 575338 576384 577477 "EP" 578985 NIL EP (NIL T) -7 NIL NIL) (-273 573920 574221 574538 "ENV" 575041 T ENV (NIL) -8 NIL NIL) (-272 573080 573644 573672 "ENTIRER" 573677 T ENTIRER (NIL) -9 NIL 573722) (-271 569536 571035 571405 "EMR" 572879 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL) (-270 568680 568865 568919 "ELTAGG" 569299 NIL ELTAGG (NIL T T) -9 NIL 569510) (-269 568399 568461 568602 "ELTAGG-" 568607 NIL ELTAGG- (NIL T T T) -8 NIL NIL) (-268 568188 568217 568271 "ELTAB" 568355 NIL ELTAB (NIL T T) -9 NIL NIL) (-267 567314 567460 567659 "ELFUTS" 568039 NIL ELFUTS (NIL T T) -7 NIL NIL) (-266 567056 567112 567140 "ELEMFUN" 567245 T ELEMFUN (NIL) -9 NIL NIL) (-265 566926 566947 567015 "ELEMFUN-" 567020 NIL ELEMFUN- (NIL T) -8 NIL NIL) (-264 561818 565027 565068 "ELAGG" 566008 NIL ELAGG (NIL T) -9 NIL 566471) (-263 560103 560537 561200 "ELAGG-" 561205 NIL ELAGG- (NIL T T) -8 NIL NIL) (-262 558760 559040 559335 "ELABEXPR" 559828 T ELABEXPR (NIL) -8 NIL NIL) (-261 551628 553427 554254 "EFUPXS" 558036 NIL EFUPXS (NIL T T T T) -8 NIL NIL) (-260 545078 546879 547689 "EFULS" 550904 NIL EFULS (NIL T T T) -8 NIL NIL) (-259 542509 542867 543345 "EFSTRUC" 544710 NIL EFSTRUC (NIL T T) -7 NIL NIL) (-258 531581 533146 534706 "EF" 541024 NIL EF (NIL T T) -7 NIL NIL) (-257 530682 531066 531215 "EAB" 531452 T EAB (NIL) -8 NIL NIL) (-256 529895 530641 530669 "E04UCFA" 530674 T E04UCFA (NIL) -8 NIL NIL) (-255 529108 529854 529882 "E04NAFA" 529887 T E04NAFA (NIL) -8 NIL NIL) (-254 528321 529067 529095 "E04MBFA" 529100 T E04MBFA (NIL) -8 NIL NIL) (-253 527534 528280 528308 "E04JAFA" 528313 T E04JAFA (NIL) -8 NIL NIL) (-252 526749 527493 527521 "E04GCFA" 527526 T E04GCFA (NIL) -8 NIL NIL) (-251 525964 526708 526736 "E04FDFA" 526741 T E04FDFA (NIL) -8 NIL NIL) (-250 525177 525923 525951 "E04DGFA" 525956 T E04DGFA (NIL) -8 NIL NIL) (-249 519362 520707 522069 "E04AGNT" 523835 T E04AGNT (NIL) -7 NIL NIL) (-248 518089 518569 518609 "DVARCAT" 519084 NIL DVARCAT (NIL T) -9 NIL 519282) (-247 517293 517505 517819 "DVARCAT-" 517824 NIL DVARCAT- (NIL T T) -8 NIL NIL) (-246 510155 517095 517222 "DSMP" 517227 NIL DSMP (NIL T T T) -8 NIL NIL) (-245 504965 506100 507168 "DROPT" 509107 T DROPT (NIL) -8 NIL NIL) (-244 504630 504689 504787 "DROPT1" 504900 NIL DROPT1 (NIL T) -7 NIL NIL) (-243 499745 500871 502008 "DROPT0" 503513 T DROPT0 (NIL) -7 NIL NIL) (-242 498090 498415 498801 "DRAWPT" 499379 T DRAWPT (NIL) -7 NIL NIL) (-241 492677 493600 494679 "DRAW" 497064 NIL DRAW (NIL T) -7 NIL NIL) (-240 492310 492363 492481 "DRAWHACK" 492618 NIL DRAWHACK (NIL T) -7 NIL NIL) (-239 491041 491310 491601 "DRAWCX" 492039 T DRAWCX (NIL) -7 NIL NIL) (-238 490559 490627 490777 "DRAWCURV" 490967 NIL DRAWCURV (NIL T T) -7 NIL NIL) (-237 481030 482989 485104 "DRAWCFUN" 488464 T DRAWCFUN (NIL) -7 NIL NIL) (-236 477844 479726 479767 "DQAGG" 480396 NIL DQAGG (NIL T) -9 NIL 480669) (-235 466351 473089 473171 "DPOLCAT" 475009 NIL DPOLCAT (NIL T T T T) -9 NIL 475553) (-234 461191 462537 464494 "DPOLCAT-" 464499 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL) (-233 453987 461053 461150 "DPMO" 461155 NIL DPMO (NIL NIL T T) -8 NIL NIL) (-232 446686 453768 453934 "DPMM" 453939 NIL DPMM (NIL NIL T T T) -8 NIL NIL) (-231 446106 446309 446423 "DOMAIN" 446592 T DOMAIN (NIL) -8 NIL NIL) (-230 439818 445743 445894 "DMP" 446007 NIL DMP (NIL NIL T) -8 NIL NIL) (-229 439418 439474 439618 "DLP" 439756 NIL DLP (NIL T) -7 NIL NIL) (-228 433062 438519 438746 "DLIST" 439223 NIL DLIST (NIL T) -8 NIL NIL) (-227 429909 431918 431959 "DLAGG" 432509 NIL DLAGG (NIL T) -9 NIL 432738) (-226 428619 429311 429339 "DIVRING" 429489 T DIVRING (NIL) -9 NIL 429597) (-225 427607 427860 428253 "DIVRING-" 428258 NIL DIVRING- (NIL T) -8 NIL NIL) (-224 425709 426066 426472 "DISPLAY" 427221 T DISPLAY (NIL) -7 NIL NIL) (-223 419598 425623 425686 "DIRPROD" 425691 NIL DIRPROD (NIL NIL T) -8 NIL NIL) (-222 418446 418649 418914 "DIRPROD2" 419391 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL) (-221 407965 413970 414023 "DIRPCAT" 414431 NIL DIRPCAT (NIL NIL T) -9 NIL 415270) (-220 405291 405933 406814 "DIRPCAT-" 407151 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL) (-219 404578 404738 404924 "DIOSP" 405125 T DIOSP (NIL) -7 NIL NIL) (-218 401281 403491 403532 "DIOPS" 403966 NIL DIOPS (NIL T) -9 NIL 404195) (-217 400830 400944 401135 "DIOPS-" 401140 NIL DIOPS- (NIL T T) -8 NIL NIL) (-216 399702 400340 400368 "DIFRING" 400555 T DIFRING (NIL) -9 NIL 400664) (-215 399348 399425 399577 "DIFRING-" 399582 NIL DIFRING- (NIL T) -8 NIL NIL) (-214 397138 398420 398460 "DIFEXT" 398819 NIL DIFEXT (NIL T) -9 NIL 399112) (-213 395424 395852 396517 "DIFEXT-" 396522 NIL DIFEXT- (NIL T T) -8 NIL NIL) (-212 392747 394957 394998 "DIAGG" 395003 NIL DIAGG (NIL T) -9 NIL 395023) (-211 392131 392288 392540 "DIAGG-" 392545 NIL DIAGG- (NIL T T) -8 NIL NIL) (-210 387596 391090 391367 "DHMATRIX" 391900 NIL DHMATRIX (NIL T) -8 NIL NIL) (-209 383208 384117 385127 "DFSFUN" 386606 T DFSFUN (NIL) -7 NIL NIL) (-208 377994 381922 382287 "DFLOAT" 382863 T DFLOAT (NIL) -8 NIL NIL) (-207 376227 376508 376903 "DFINTTLS" 377702 NIL DFINTTLS (NIL T T) -7 NIL NIL) (-206 373260 374262 374660 "DERHAM" 375894 NIL DERHAM (NIL T NIL) -8 NIL NIL) (-205 371109 373035 373124 "DEQUEUE" 373204 NIL DEQUEUE (NIL T) -8 NIL NIL) (-204 370327 370460 370655 "DEGRED" 370971 NIL DEGRED (NIL T T) -7 NIL NIL) (-203 366727 367472 368324 "DEFINTRF" 369555 NIL DEFINTRF (NIL T) -7 NIL NIL) (-202 364258 364727 365325 "DEFINTEF" 366246 NIL DEFINTEF (NIL T T) -7 NIL NIL) (-201 358088 363699 363865 "DECIMAL" 364112 T DECIMAL (NIL) -8 NIL NIL) (-200 355600 356058 356564 "DDFACT" 357632 NIL DDFACT (NIL T T) -7 NIL NIL) (-199 355196 355239 355390 "DBLRESP" 355551 NIL DBLRESP (NIL T T T T) -7 NIL NIL) (-198 352906 353240 353609 "DBASE" 354954 NIL DBASE (NIL T) -8 NIL NIL) (-197 352175 352386 352532 "DATABUF" 352805 NIL DATABUF (NIL NIL T) -8 NIL NIL) (-196 351310 352134 352162 "D03FAFA" 352167 T D03FAFA (NIL) -8 NIL NIL) (-195 350446 351269 351297 "D03EEFA" 351302 T D03EEFA (NIL) -8 NIL NIL) (-194 348396 348862 349351 "D03AGNT" 349977 T D03AGNT (NIL) -7 NIL NIL) (-193 347714 348355 348383 "D02EJFA" 348388 T D02EJFA (NIL) -8 NIL NIL) (-192 347032 347673 347701 "D02CJFA" 347706 T D02CJFA (NIL) -8 NIL NIL) (-191 346350 346991 347019 "D02BHFA" 347024 T D02BHFA (NIL) -8 NIL NIL) (-190 345668 346309 346337 "D02BBFA" 346342 T D02BBFA (NIL) -8 NIL NIL) (-189 338866 340454 342060 "D02AGNT" 344082 T D02AGNT (NIL) -7 NIL NIL) (-188 336635 337157 337703 "D01WGTS" 338340 T D01WGTS (NIL) -7 NIL NIL) (-187 335738 336594 336622 "D01TRNS" 336627 T D01TRNS (NIL) -8 NIL NIL) (-186 334841 335697 335725 "D01GBFA" 335730 T D01GBFA (NIL) -8 NIL NIL) (-185 333944 334800 334828 "D01FCFA" 334833 T D01FCFA (NIL) -8 NIL NIL) (-184 333047 333903 333931 "D01ASFA" 333936 T D01ASFA (NIL) -8 NIL NIL) (-183 332150 333006 333034 "D01AQFA" 333039 T D01AQFA (NIL) -8 NIL NIL) (-182 331253 332109 332137 "D01APFA" 332142 T D01APFA (NIL) -8 NIL NIL) (-181 330356 331212 331240 "D01ANFA" 331245 T D01ANFA (NIL) -8 NIL NIL) (-180 329459 330315 330343 "D01AMFA" 330348 T D01AMFA (NIL) -8 NIL NIL) (-179 328562 329418 329446 "D01ALFA" 329451 T D01ALFA (NIL) -8 NIL NIL) (-178 327665 328521 328549 "D01AKFA" 328554 T D01AKFA (NIL) -8 NIL NIL) (-177 326768 327624 327652 "D01AJFA" 327657 T D01AJFA (NIL) -8 NIL NIL) (-176 320072 321621 323180 "D01AGNT" 325229 T D01AGNT (NIL) -7 NIL NIL) (-175 319409 319537 319689 "CYCLOTOM" 319940 T CYCLOTOM (NIL) -7 NIL NIL) (-174 316144 316857 317584 "CYCLES" 318702 T CYCLES (NIL) -7 NIL NIL) (-173 315456 315590 315761 "CVMP" 316005 NIL CVMP (NIL T) -7 NIL NIL) (-172 313237 313495 313870 "CTRIGMNP" 315184 NIL CTRIGMNP (NIL T T) -7 NIL NIL) (-171 312748 312937 313036 "CTORCALL" 313158 T CTORCALL (NIL) -8 NIL NIL) (-170 312122 312221 312374 "CSTTOOLS" 312645 NIL CSTTOOLS (NIL T T) -7 NIL NIL) (-169 307921 308578 309336 "CRFP" 311434 NIL CRFP (NIL T T) -7 NIL NIL) (-168 306968 307153 307381 "CRAPACK" 307725 NIL CRAPACK (NIL T) -7 NIL NIL) (-167 306352 306453 306657 "CPMATCH" 306844 NIL CPMATCH (NIL T T T) -7 NIL NIL) (-166 306077 306105 306211 "CPIMA" 306318 NIL CPIMA (NIL T T T) -7 NIL NIL) (-165 302441 303113 303831 "COORDSYS" 305412 NIL COORDSYS (NIL T) -7 NIL NIL) (-164 301825 301954 302104 "CONTOUR" 302311 T CONTOUR (NIL) -8 NIL NIL) (-163 297686 299828 300320 "CONTFRAC" 301365 NIL CONTFRAC (NIL T) -8 NIL NIL) (-162 296840 297404 297432 "COMRING" 297437 T COMRING (NIL) -9 NIL 297488) (-161 295921 296198 296382 "COMPPROP" 296676 T COMPPROP (NIL) -8 NIL NIL) (-160 295582 295617 295745 "COMPLPAT" 295880 NIL COMPLPAT (NIL T T T) -7 NIL NIL) (-159 285563 295391 295500 "COMPLEX" 295505 NIL COMPLEX (NIL T) -8 NIL NIL) (-158 285199 285256 285363 "COMPLEX2" 285500 NIL COMPLEX2 (NIL T T) -7 NIL NIL) (-157 284917 284952 285050 "COMPFACT" 285158 NIL COMPFACT (NIL T T) -7 NIL NIL) (-156 269252 279546 279586 "COMPCAT" 280588 NIL COMPCAT (NIL T) -9 NIL 281981) (-155 258767 261691 265318 "COMPCAT-" 265674 NIL COMPCAT- (NIL T T) -8 NIL NIL) (-154 258498 258526 258628 "COMMUPC" 258733 NIL COMMUPC (NIL T T T) -7 NIL NIL) (-153 258293 258326 258385 "COMMONOP" 258459 T COMMONOP (NIL) -7 NIL NIL) (-152 257876 258044 258131 "COMM" 258226 T COMM (NIL) -8 NIL NIL) (-151 257125 257319 257347 "COMBOPC" 257685 T COMBOPC (NIL) -9 NIL 257860) (-150 256021 256231 256473 "COMBINAT" 256915 NIL COMBINAT (NIL T) -7 NIL NIL) (-149 252219 252792 253432 "COMBF" 255443 NIL COMBF (NIL T T) -7 NIL NIL) (-148 251005 251335 251570 "COLOR" 252004 T COLOR (NIL) -8 NIL NIL) (-147 250645 250692 250817 "CMPLXRT" 250952 NIL CMPLXRT (NIL T T) -7 NIL NIL) (-146 246147 247175 248255 "CLIP" 249585 T CLIP (NIL) -7 NIL NIL) (-145 244485 245255 245493 "CLIF" 245975 NIL CLIF (NIL NIL T NIL) -8 NIL NIL) (-144 240708 242632 242673 "CLAGG" 243602 NIL CLAGG (NIL T) -9 NIL 244138) (-143 239130 239587 240170 "CLAGG-" 240175 NIL CLAGG- (NIL T T) -8 NIL NIL) (-142 238674 238759 238899 "CINTSLPE" 239039 NIL CINTSLPE (NIL T T) -7 NIL NIL) (-141 236175 236646 237194 "CHVAR" 238202 NIL CHVAR (NIL T T T) -7 NIL NIL) (-140 235398 235962 235990 "CHARZ" 235995 T CHARZ (NIL) -9 NIL 236009) (-139 235152 235192 235270 "CHARPOL" 235352 NIL CHARPOL (NIL T) -7 NIL NIL) (-138 234259 234856 234884 "CHARNZ" 234931 T CHARNZ (NIL) -9 NIL 234986) (-137 232284 232949 233284 "CHAR" 233944 T CHAR (NIL) -8 NIL NIL) (-136 232010 232071 232099 "CFCAT" 232210 T CFCAT (NIL) -9 NIL NIL) (-135 231255 231366 231548 "CDEN" 231894 NIL CDEN (NIL T T T) -7 NIL NIL) (-134 227247 230408 230688 "CCLASS" 230995 T CCLASS (NIL) -8 NIL NIL) (-133 227166 227192 227227 "CATEGORY" 227232 T -10 (NIL) -8 NIL NIL) (-132 222218 223195 223948 "CARTEN" 226469 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL) (-131 221326 221474 221695 "CARTEN2" 222065 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL) (-130 219624 220478 220734 "CARD" 221090 T CARD (NIL) -8 NIL NIL) (-129 218997 219325 219353 "CACHSET" 219485 T CACHSET (NIL) -9 NIL 219562) (-128 218494 218790 218818 "CABMON" 218868 T CABMON (NIL) -9 NIL 218924) (-127 217662 218041 218184 "BYTE" 218371 T BYTE (NIL) -8 NIL NIL) (-126 213610 217609 217643 "BYTEARY" 217648 T BYTEARY (NIL) -8 NIL NIL) (-125 211167 213302 213409 "BTREE" 213536 NIL BTREE (NIL T) -8 NIL NIL) (-124 208665 210815 210937 "BTOURN" 211077 NIL BTOURN (NIL T) -8 NIL NIL) (-123 206084 208137 208178 "BTCAT" 208246 NIL BTCAT (NIL T) -9 NIL 208323) (-122 205751 205831 205980 "BTCAT-" 205985 NIL BTCAT- (NIL T T) -8 NIL NIL) (-121 201044 204895 204923 "BTAGG" 205145 T BTAGG (NIL) -9 NIL 205306) (-120 200534 200659 200865 "BTAGG-" 200870 NIL BTAGG- (NIL T) -8 NIL NIL) (-119 197578 199812 200027 "BSTREE" 200351 NIL BSTREE (NIL T) -8 NIL NIL) (-118 196716 196842 197026 "BRILL" 197434 NIL BRILL (NIL T) -7 NIL NIL) (-117 193418 195445 195486 "BRAGG" 196135 NIL BRAGG (NIL T) -9 NIL 196392) (-116 191947 192353 192908 "BRAGG-" 192913 NIL BRAGG- (NIL T T) -8 NIL NIL) (-115 185155 191293 191477 "BPADICRT" 191795 NIL BPADICRT (NIL NIL) -8 NIL NIL) (-114 183459 185092 185137 "BPADIC" 185142 NIL BPADIC (NIL NIL) -8 NIL NIL) (-113 183159 183189 183302 "BOUNDZRO" 183423 NIL BOUNDZRO (NIL T T) -7 NIL NIL) (-112 178674 179765 180632 "BOP" 182312 T BOP (NIL) -8 NIL NIL) (-111 176295 176739 177259 "BOP1" 178187 NIL BOP1 (NIL T) -7 NIL NIL) (-110 175019 175705 175905 "BOOLEAN" 176115 T BOOLEAN (NIL) -8 NIL NIL) (-109 174386 174764 174816 "BMODULE" 174821 NIL BMODULE (NIL T T) -9 NIL 174885) (-108 170216 174184 174257 "BITS" 174333 T BITS (NIL) -8 NIL NIL) (-107 169313 169748 169900 "BINFILE" 170084 T BINFILE (NIL) -8 NIL NIL) (-106 168725 168847 168989 "BINDING" 169191 T BINDING (NIL) -8 NIL NIL) (-105 162559 168169 168334 "BINARY" 168580 T BINARY (NIL) -8 NIL NIL) (-104 160387 161815 161856 "BGAGG" 162116 NIL BGAGG (NIL T) -9 NIL 162253) (-103 160218 160250 160341 "BGAGG-" 160346 NIL BGAGG- (NIL T T) -8 NIL NIL) (-102 159316 159602 159807 "BFUNCT" 160033 T BFUNCT (NIL) -8 NIL NIL) (-101 158011 158189 158476 "BEZOUT" 159140 NIL BEZOUT (NIL T T T T T) -7 NIL NIL) (-100 154528 156863 157193 "BBTREE" 157714 NIL BBTREE (NIL T) -8 NIL NIL) (-99 154266 154319 154345 "BASTYPE" 154462 T BASTYPE (NIL) -9 NIL NIL) (-98 154121 154150 154220 "BASTYPE-" 154225 NIL BASTYPE- (NIL T) -8 NIL NIL) (-97 153559 153635 153785 "BALFACT" 154032 NIL BALFACT (NIL T T) -7 NIL NIL) (-96 152381 152978 153163 "AUTOMOR" 153404 NIL AUTOMOR (NIL T) -8 NIL NIL) (-95 152107 152112 152138 "ATTREG" 152143 T ATTREG (NIL) -9 NIL NIL) (-94 150386 150804 151156 "ATTRBUT" 151773 T ATTRBUT (NIL) -8 NIL NIL) (-93 149922 150035 150061 "ATRIG" 150262 T ATRIG (NIL) -9 NIL NIL) (-92 149731 149772 149859 "ATRIG-" 149864 NIL ATRIG- (NIL T) -8 NIL NIL) (-91 149457 149600 149626 "ASTCAT" 149631 T ASTCAT (NIL) -9 NIL 149661) (-90 149254 149297 149389 "ASTCAT-" 149394 NIL ASTCAT- (NIL T) -8 NIL NIL) (-89 147451 149030 149118 "ASTACK" 149197 NIL ASTACK (NIL T) -8 NIL NIL) (-88 145956 146253 146618 "ASSOCEQ" 147133 NIL ASSOCEQ (NIL T T) -7 NIL NIL) (-87 144988 145615 145739 "ASP9" 145863 NIL ASP9 (NIL NIL) -8 NIL NIL) (-86 144752 144936 144975 "ASP8" 144980 NIL ASP8 (NIL NIL) -8 NIL NIL) (-85 143621 144357 144499 "ASP80" 144641 NIL ASP80 (NIL NIL) -8 NIL NIL) (-84 142520 143256 143388 "ASP7" 143520 NIL ASP7 (NIL NIL) -8 NIL NIL) (-83 141474 142197 142315 "ASP78" 142433 NIL ASP78 (NIL NIL) -8 NIL NIL) (-82 140443 141154 141271 "ASP77" 141388 NIL ASP77 (NIL NIL) -8 NIL NIL) (-81 139355 140081 140212 "ASP74" 140343 NIL ASP74 (NIL NIL) -8 NIL NIL) (-80 138255 138990 139122 "ASP73" 139254 NIL ASP73 (NIL NIL) -8 NIL NIL) (-79 137210 137932 138050 "ASP6" 138168 NIL ASP6 (NIL NIL) -8 NIL NIL) (-78 136158 136887 137005 "ASP55" 137123 NIL ASP55 (NIL NIL) -8 NIL NIL) (-77 135108 135832 135951 "ASP50" 136070 NIL ASP50 (NIL NIL) -8 NIL NIL) (-76 134196 134809 134919 "ASP4" 135029 NIL ASP4 (NIL NIL) -8 NIL NIL) (-75 133284 133897 134007 "ASP49" 134117 NIL ASP49 (NIL NIL) -8 NIL NIL) (-74 132069 132823 132991 "ASP42" 133173 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL) (-73 130846 131602 131772 "ASP41" 131956 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL) (-72 129796 130523 130641 "ASP35" 130759 NIL ASP35 (NIL NIL) -8 NIL NIL) (-71 129561 129744 129783 "ASP34" 129788 NIL ASP34 (NIL NIL) -8 NIL NIL) (-70 129298 129365 129441 "ASP33" 129516 NIL ASP33 (NIL NIL) -8 NIL NIL) (-69 128193 128933 129065 "ASP31" 129197 NIL ASP31 (NIL NIL) -8 NIL NIL) (-68 127958 128141 128180 "ASP30" 128185 NIL ASP30 (NIL NIL) -8 NIL NIL) (-67 127693 127762 127838 "ASP29" 127913 NIL ASP29 (NIL NIL) -8 NIL NIL) (-66 127458 127641 127680 "ASP28" 127685 NIL ASP28 (NIL NIL) -8 NIL NIL) (-65 127223 127406 127445 "ASP27" 127450 NIL ASP27 (NIL NIL) -8 NIL NIL) (-64 126307 126921 127032 "ASP24" 127143 NIL ASP24 (NIL NIL) -8 NIL NIL) (-63 125223 125948 126078 "ASP20" 126208 NIL ASP20 (NIL NIL) -8 NIL NIL) (-62 124311 124924 125034 "ASP1" 125144 NIL ASP1 (NIL NIL) -8 NIL NIL) (-61 123255 123985 124104 "ASP19" 124223 NIL ASP19 (NIL NIL) -8 NIL NIL) (-60 122992 123059 123135 "ASP12" 123210 NIL ASP12 (NIL NIL) -8 NIL NIL) (-59 121844 122591 122735 "ASP10" 122879 NIL ASP10 (NIL NIL) -8 NIL NIL) (-58 119743 121688 121779 "ARRAY2" 121784 NIL ARRAY2 (NIL T) -8 NIL NIL) (-57 115559 119391 119505 "ARRAY1" 119660 NIL ARRAY1 (NIL T) -8 NIL NIL) (-56 114591 114764 114985 "ARRAY12" 115382 NIL ARRAY12 (NIL T T) -7 NIL NIL) (-55 108951 110822 110897 "ARR2CAT" 113527 NIL ARR2CAT (NIL T T T) -9 NIL 114285) (-54 106385 107129 108083 "ARR2CAT-" 108088 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL) (-53 105137 105289 105594 "APPRULE" 106221 NIL APPRULE (NIL T T T) -7 NIL NIL) (-52 104790 104838 104956 "APPLYORE" 105083 NIL APPLYORE (NIL T T T) -7 NIL NIL) (-51 103764 104055 104250 "ANY" 104613 T ANY (NIL) -8 NIL NIL) (-50 103042 103165 103322 "ANY1" 103638 NIL ANY1 (NIL T) -7 NIL NIL) (-49 100574 101492 101817 "ANTISYM" 102767 NIL ANTISYM (NIL T NIL) -8 NIL NIL) (-48 100089 100278 100375 "ANON" 100495 T ANON (NIL) -8 NIL NIL) (-47 94166 98634 99085 "AN" 99656 T AN (NIL) -8 NIL NIL) (-46 90520 91918 91968 "AMR" 92707 NIL AMR (NIL T T) -9 NIL 93306) (-45 89633 89854 90216 "AMR-" 90221 NIL AMR- (NIL T T T) -8 NIL NIL) (-44 74183 89550 89611 "ALIST" 89616 NIL ALIST (NIL T T) -8 NIL NIL) (-43 71020 73777 73946 "ALGSC" 74101 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL) (-42 67576 68130 68737 "ALGPKG" 70460 NIL ALGPKG (NIL T T) -7 NIL NIL) (-41 66853 66954 67138 "ALGMFACT" 67462 NIL ALGMFACT (NIL T T T) -7 NIL NIL) (-40 62602 63283 63937 "ALGMANIP" 66377 NIL ALGMANIP (NIL T T) -7 NIL NIL) (-39 53921 62228 62378 "ALGFF" 62535 NIL ALGFF (NIL T T T NIL) -8 NIL NIL) (-38 53117 53248 53427 "ALGFACT" 53779 NIL ALGFACT (NIL T) -7 NIL NIL) (-37 52108 52718 52756 "ALGEBRA" 52816 NIL ALGEBRA (NIL T) -9 NIL 52874) (-36 51826 51885 52017 "ALGEBRA-" 52022 NIL ALGEBRA- (NIL T T) -8 NIL NIL) (-35 34087 49830 49882 "ALAGG" 50018 NIL ALAGG (NIL T T) -9 NIL 50179) (-34 33623 33736 33762 "AHYP" 33963 T AHYP (NIL) -9 NIL NIL) (-33 32554 32802 32828 "AGG" 33327 T AGG (NIL) -9 NIL 33606) (-32 31988 32150 32364 "AGG-" 32369 NIL AGG- (NIL T) -8 NIL NIL) (-31 29675 30093 30510 "AF" 31631 NIL AF (NIL T T) -7 NIL NIL) (-30 28944 29202 29358 "ACPLOT" 29537 T ACPLOT (NIL) -8 NIL NIL) (-29 18411 26357 26408 "ACFS" 27119 NIL ACFS (NIL T) -9 NIL 27358) (-28 16425 16915 17690 "ACFS-" 17695 NIL ACFS- (NIL T T) -8 NIL NIL) (-27 12693 14649 14675 "ACF" 15554 T ACF (NIL) -9 NIL 15966) (-26 11397 11731 12224 "ACF-" 12229 NIL ACF- (NIL T) -8 NIL NIL) (-25 10996 11165 11191 "ABELSG" 11283 T ABELSG (NIL) -9 NIL 11348) (-24 10863 10888 10954 "ABELSG-" 10959 NIL ABELSG- (NIL T) -8 NIL NIL) (-23 10233 10494 10520 "ABELMON" 10690 T ABELMON (NIL) -9 NIL 10802) (-22 9897 9981 10119 "ABELMON-" 10124 NIL ABELMON- (NIL T) -8 NIL NIL) (-21 9232 9578 9604 "ABELGRP" 9729 T ABELGRP (NIL) -9 NIL 9811) (-20 8695 8824 9040 "ABELGRP-" 9045 NIL ABELGRP- (NIL T) -8 NIL NIL) (-19 4333 8035 8074 "A1AGG" 8079 NIL A1AGG (NIL T) -9 NIL 8119) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL))
\ No newline at end of file +((-3 3152487 3152492 3152497 NIL NIL NIL NIL (NIL) -8 NIL NIL) (-2 3152472 3152477 3152482 NIL NIL NIL NIL (NIL) -8 NIL NIL) (-1 3152457 3152462 3152467 NIL NIL NIL NIL (NIL) -8 NIL NIL) (0 3152442 3152447 3152452 NIL NIL NIL NIL (NIL) -8 NIL NIL) (-1207 3151572 3152317 3152394 "ZMOD" 3152399 NIL ZMOD (NIL NIL) -8 NIL NIL) (-1206 3150682 3150846 3151055 "ZLINDEP" 3151404 NIL ZLINDEP (NIL T) -7 NIL NIL) (-1205 3140086 3141831 3143783 "ZDSOLVE" 3148831 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL) (-1204 3139332 3139473 3139662 "YSTREAM" 3139932 NIL YSTREAM (NIL T) -7 NIL NIL) (-1203 3137101 3138637 3138840 "XRPOLY" 3139175 NIL XRPOLY (NIL T T) -8 NIL NIL) (-1202 3133563 3134892 3135474 "XPR" 3136565 NIL XPR (NIL T T) -8 NIL NIL) (-1201 3131277 3132898 3133101 "XPOLY" 3133394 NIL XPOLY (NIL T) -8 NIL NIL) (-1200 3129091 3130469 3130523 "XPOLYC" 3130808 NIL XPOLYC (NIL T T) -9 NIL 3130921) (-1199 3125463 3127608 3127996 "XPBWPOLY" 3128749 NIL XPBWPOLY (NIL T T) -8 NIL NIL) (-1198 3121391 3123704 3123746 "XF" 3124367 NIL XF (NIL T) -9 NIL 3124766) (-1197 3121012 3121100 3121269 "XF-" 3121274 NIL XF- (NIL T T) -8 NIL NIL) (-1196 3116392 3117691 3117745 "XFALG" 3119893 NIL XFALG (NIL T T) -9 NIL 3120680) (-1195 3115529 3115633 3115837 "XEXPPKG" 3116284 NIL XEXPPKG (NIL T T T) -7 NIL NIL) (-1194 3113628 3115380 3115475 "XDPOLY" 3115480 NIL XDPOLY (NIL T T) -8 NIL NIL) (-1193 3112507 3113117 3113159 "XALG" 3113221 NIL XALG (NIL T) -9 NIL 3113340) (-1192 3105983 3110491 3110984 "WUTSET" 3112099 NIL WUTSET (NIL T T T T) -8 NIL NIL) (-1191 3103795 3104602 3104953 "WP" 3105765 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL) (-1190 3102681 3102879 3103174 "WFFINTBS" 3103592 NIL WFFINTBS (NIL T T T T) -7 NIL NIL) (-1189 3100585 3101012 3101474 "WEIER" 3102253 NIL WEIER (NIL T) -7 NIL NIL) (-1188 3099734 3100158 3100200 "VSPACE" 3100336 NIL VSPACE (NIL T) -9 NIL 3100410) (-1187 3099572 3099599 3099690 "VSPACE-" 3099695 NIL VSPACE- (NIL T T) -8 NIL NIL) (-1186 3099318 3099361 3099432 "VOID" 3099523 T VOID (NIL) -8 NIL NIL) (-1185 3097454 3097813 3098219 "VIEW" 3098934 T VIEW (NIL) -7 NIL NIL) (-1184 3093879 3094517 3095254 "VIEWDEF" 3096739 T VIEWDEF (NIL) -7 NIL NIL) (-1183 3083217 3085427 3087600 "VIEW3D" 3091728 T VIEW3D (NIL) -8 NIL NIL) (-1182 3075499 3077128 3078707 "VIEW2D" 3081660 T VIEW2D (NIL) -8 NIL NIL) (-1181 3070908 3075269 3075361 "VECTOR" 3075442 NIL VECTOR (NIL T) -8 NIL NIL) (-1180 3069485 3069744 3070062 "VECTOR2" 3070638 NIL VECTOR2 (NIL T T) -7 NIL NIL) (-1179 3063025 3067277 3067320 "VECTCAT" 3068308 NIL VECTCAT (NIL T) -9 NIL 3068892) (-1178 3062039 3062293 3062683 "VECTCAT-" 3062688 NIL VECTCAT- (NIL T T) -8 NIL NIL) (-1177 3061520 3061690 3061810 "VARIABLE" 3061954 NIL VARIABLE (NIL NIL) -8 NIL NIL) (-1176 3061453 3061458 3061488 "UTYPE" 3061493 T UTYPE (NIL) -9 NIL NIL) (-1175 3060288 3060442 3060703 "UTSODETL" 3061279 NIL UTSODETL (NIL T T T T) -7 NIL NIL) (-1174 3057728 3058188 3058712 "UTSODE" 3059829 NIL UTSODE (NIL T T) -7 NIL NIL) (-1173 3049572 3055368 3055856 "UTS" 3057297 NIL UTS (NIL T NIL NIL) -8 NIL NIL) (-1172 3040917 3046282 3046324 "UTSCAT" 3047425 NIL UTSCAT (NIL T) -9 NIL 3048182) (-1171 3038272 3038988 3039976 "UTSCAT-" 3039981 NIL UTSCAT- (NIL T T) -8 NIL NIL) (-1170 3037903 3037946 3038077 "UTS2" 3038223 NIL UTS2 (NIL T T T T) -7 NIL NIL) (-1169 3032179 3034744 3034787 "URAGG" 3036857 NIL URAGG (NIL T) -9 NIL 3037579) (-1168 3029118 3029981 3031104 "URAGG-" 3031109 NIL URAGG- (NIL T T) -8 NIL NIL) (-1167 3024804 3027735 3028206 "UPXSSING" 3028782 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL) (-1166 3016695 3023925 3024205 "UPXS" 3024581 NIL UPXS (NIL T NIL NIL) -8 NIL NIL) (-1165 3009724 3016600 3016671 "UPXSCONS" 3016676 NIL UPXSCONS (NIL T T) -8 NIL NIL) (-1164 3000013 3006843 3006904 "UPXSCCA" 3007553 NIL UPXSCCA (NIL T T) -9 NIL 3007794) (-1163 2999652 2999737 2999910 "UPXSCCA-" 2999915 NIL UPXSCCA- (NIL T T T) -8 NIL NIL) (-1162 2989863 2996466 2996508 "UPXSCAT" 2997151 NIL UPXSCAT (NIL T) -9 NIL 2997759) (-1161 2989297 2989376 2989553 "UPXS2" 2989778 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1160 2987951 2988204 2988555 "UPSQFREE" 2989040 NIL UPSQFREE (NIL T T) -7 NIL NIL) (-1159 2981842 2984897 2984951 "UPSCAT" 2986100 NIL UPSCAT (NIL T T) -9 NIL 2986874) (-1158 2981047 2981254 2981580 "UPSCAT-" 2981585 NIL UPSCAT- (NIL T T T) -8 NIL NIL) (-1157 2967133 2975170 2975212 "UPOLYC" 2977290 NIL UPOLYC (NIL T) -9 NIL 2978511) (-1156 2958463 2960888 2964034 "UPOLYC-" 2964039 NIL UPOLYC- (NIL T T) -8 NIL NIL) (-1155 2958094 2958137 2958268 "UPOLYC2" 2958414 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL) (-1154 2949513 2957663 2957800 "UP" 2958004 NIL UP (NIL NIL T) -8 NIL NIL) (-1153 2948856 2948963 2949126 "UPMP" 2949402 NIL UPMP (NIL T T) -7 NIL NIL) (-1152 2948409 2948490 2948629 "UPDIVP" 2948769 NIL UPDIVP (NIL T T) -7 NIL NIL) (-1151 2946977 2947226 2947542 "UPDECOMP" 2948158 NIL UPDECOMP (NIL T T) -7 NIL NIL) (-1150 2946212 2946324 2946509 "UPCDEN" 2946861 NIL UPCDEN (NIL T T T) -7 NIL NIL) (-1149 2945735 2945804 2945951 "UP2" 2946137 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL) (-1148 2944252 2944939 2945216 "UNISEG" 2945493 NIL UNISEG (NIL T) -8 NIL NIL) (-1147 2943467 2943594 2943799 "UNISEG2" 2944095 NIL UNISEG2 (NIL T T) -7 NIL NIL) (-1146 2942527 2942707 2942933 "UNIFACT" 2943283 NIL UNIFACT (NIL T) -7 NIL NIL) (-1145 2926423 2941708 2941958 "ULS" 2942334 NIL ULS (NIL T NIL NIL) -8 NIL NIL) (-1144 2914388 2926328 2926399 "ULSCONS" 2926404 NIL ULSCONS (NIL T T) -8 NIL NIL) (-1143 2897138 2909151 2909212 "ULSCCAT" 2909924 NIL ULSCCAT (NIL T T) -9 NIL 2910220) (-1142 2896189 2896434 2896821 "ULSCCAT-" 2896826 NIL ULSCCAT- (NIL T T T) -8 NIL NIL) (-1141 2886179 2892696 2892738 "ULSCAT" 2893594 NIL ULSCAT (NIL T) -9 NIL 2894324) (-1140 2885613 2885692 2885869 "ULS2" 2886094 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1139 2884011 2884978 2885008 "UFD" 2885220 T UFD (NIL) -9 NIL 2885334) (-1138 2883805 2883851 2883946 "UFD-" 2883951 NIL UFD- (NIL T) -8 NIL NIL) (-1137 2882887 2883070 2883286 "UDVO" 2883611 T UDVO (NIL) -7 NIL NIL) (-1136 2880703 2881112 2881583 "UDPO" 2882451 NIL UDPO (NIL T) -7 NIL NIL) (-1135 2880636 2880641 2880671 "TYPE" 2880676 T TYPE (NIL) -9 NIL NIL) (-1134 2879607 2879809 2880049 "TWOFACT" 2880430 NIL TWOFACT (NIL T) -7 NIL NIL) (-1133 2878545 2878882 2879145 "TUPLE" 2879379 NIL TUPLE (NIL T) -8 NIL NIL) (-1132 2876236 2876755 2877294 "TUBETOOL" 2878028 T TUBETOOL (NIL) -7 NIL NIL) (-1131 2875085 2875290 2875531 "TUBE" 2876029 NIL TUBE (NIL T) -8 NIL NIL) (-1130 2869809 2874063 2874345 "TS" 2874837 NIL TS (NIL T) -8 NIL NIL) (-1129 2858513 2862605 2862701 "TSETCAT" 2867935 NIL TSETCAT (NIL T T T T) -9 NIL 2869466) (-1128 2853248 2854846 2856736 "TSETCAT-" 2856741 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL) (-1127 2847511 2848357 2849299 "TRMANIP" 2852384 NIL TRMANIP (NIL T T) -7 NIL NIL) (-1126 2846952 2847015 2847178 "TRIMAT" 2847443 NIL TRIMAT (NIL T T T T) -7 NIL NIL) (-1125 2844758 2844995 2845358 "TRIGMNIP" 2846701 NIL TRIGMNIP (NIL T T) -7 NIL NIL) (-1124 2844278 2844391 2844421 "TRIGCAT" 2844634 T TRIGCAT (NIL) -9 NIL NIL) (-1123 2843947 2844026 2844167 "TRIGCAT-" 2844172 NIL TRIGCAT- (NIL T) -8 NIL NIL) (-1122 2840846 2842807 2843087 "TREE" 2843702 NIL TREE (NIL T) -8 NIL NIL) (-1121 2840120 2840648 2840678 "TRANFUN" 2840713 T TRANFUN (NIL) -9 NIL 2840779) (-1120 2839399 2839590 2839870 "TRANFUN-" 2839875 NIL TRANFUN- (NIL T) -8 NIL NIL) (-1119 2839203 2839235 2839296 "TOPSP" 2839360 T TOPSP (NIL) -7 NIL NIL) (-1118 2838555 2838670 2838823 "TOOLSIGN" 2839084 NIL TOOLSIGN (NIL T) -7 NIL NIL) (-1117 2837216 2837732 2837971 "TEXTFILE" 2838338 T TEXTFILE (NIL) -8 NIL NIL) (-1116 2835081 2835595 2836033 "TEX" 2836800 T TEX (NIL) -8 NIL NIL) (-1115 2834862 2834893 2834965 "TEX1" 2835044 NIL TEX1 (NIL T) -7 NIL NIL) (-1114 2834510 2834573 2834663 "TEMUTL" 2834794 T TEMUTL (NIL) -7 NIL NIL) (-1113 2832664 2832944 2833269 "TBCMPPK" 2834233 NIL TBCMPPK (NIL T T) -7 NIL NIL) (-1112 2824553 2830825 2830881 "TBAGG" 2831281 NIL TBAGG (NIL T T) -9 NIL 2831492) (-1111 2819623 2821111 2822865 "TBAGG-" 2822870 NIL TBAGG- (NIL T T T) -8 NIL NIL) (-1110 2819007 2819114 2819259 "TANEXP" 2819512 NIL TANEXP (NIL T) -7 NIL NIL) (-1109 2812508 2818864 2818957 "TABLE" 2818962 NIL TABLE (NIL T T) -8 NIL NIL) (-1108 2811920 2812019 2812157 "TABLEAU" 2812405 NIL TABLEAU (NIL T) -8 NIL NIL) (-1107 2806528 2807748 2808996 "TABLBUMP" 2810706 NIL TABLBUMP (NIL T) -7 NIL NIL) (-1106 2805956 2806056 2806184 "SYSTEM" 2806422 T SYSTEM (NIL) -7 NIL NIL) (-1105 2802419 2803114 2803897 "SYSSOLP" 2805207 NIL SYSSOLP (NIL T) -7 NIL NIL) (-1104 2798710 2799418 2800152 "SYNTAX" 2801707 T SYNTAX (NIL) -8 NIL NIL) (-1103 2795844 2796452 2797090 "SYMTAB" 2798094 T SYMTAB (NIL) -8 NIL NIL) (-1102 2791093 2791995 2792978 "SYMS" 2794883 T SYMS (NIL) -8 NIL NIL) (-1101 2788326 2790553 2790782 "SYMPOLY" 2790898 NIL SYMPOLY (NIL T) -8 NIL NIL) (-1100 2787846 2787921 2788043 "SYMFUNC" 2788238 NIL SYMFUNC (NIL T) -7 NIL NIL) (-1099 2783823 2785083 2785905 "SYMBOL" 2787046 T SYMBOL (NIL) -8 NIL NIL) (-1098 2777362 2779051 2780771 "SWITCH" 2782125 T SWITCH (NIL) -8 NIL NIL) (-1097 2770592 2776189 2776491 "SUTS" 2777117 NIL SUTS (NIL T NIL NIL) -8 NIL NIL) (-1096 2762482 2769713 2769993 "SUPXS" 2770369 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL) (-1095 2753974 2762103 2762228 "SUP" 2762391 NIL SUP (NIL T) -8 NIL NIL) (-1094 2753133 2753260 2753477 "SUPFRACF" 2753842 NIL SUPFRACF (NIL T T T T) -7 NIL NIL) (-1093 2752758 2752817 2752928 "SUP2" 2753068 NIL SUP2 (NIL T T) -7 NIL NIL) (-1092 2751176 2751450 2751812 "SUMRF" 2752457 NIL SUMRF (NIL T) -7 NIL NIL) (-1091 2750493 2750559 2750757 "SUMFS" 2751097 NIL SUMFS (NIL T T) -7 NIL NIL) (-1090 2734429 2749674 2749924 "SULS" 2750300 NIL SULS (NIL T NIL NIL) -8 NIL NIL) (-1089 2733751 2733954 2734094 "SUCH" 2734337 NIL SUCH (NIL T T) -8 NIL NIL) (-1088 2727678 2728690 2729648 "SUBSPACE" 2732839 NIL SUBSPACE (NIL NIL T) -8 NIL NIL) (-1087 2727108 2727198 2727362 "SUBRESP" 2727566 NIL SUBRESP (NIL T T) -7 NIL NIL) (-1086 2720477 2721773 2723084 "STTF" 2725844 NIL STTF (NIL T) -7 NIL NIL) (-1085 2714650 2715770 2716917 "STTFNC" 2719377 NIL STTFNC (NIL T) -7 NIL NIL) (-1084 2706001 2707868 2709661 "STTAYLOR" 2712891 NIL STTAYLOR (NIL T) -7 NIL NIL) (-1083 2699245 2705865 2705948 "STRTBL" 2705953 NIL STRTBL (NIL T) -8 NIL NIL) (-1082 2694636 2699200 2699231 "STRING" 2699236 T STRING (NIL) -8 NIL NIL) (-1081 2689525 2694010 2694040 "STRICAT" 2694099 T STRICAT (NIL) -9 NIL 2694161) (-1080 2682239 2687048 2687668 "STREAM" 2688940 NIL STREAM (NIL T) -8 NIL NIL) (-1079 2681749 2681826 2681970 "STREAM3" 2682156 NIL STREAM3 (NIL T T T) -7 NIL NIL) (-1078 2680731 2680914 2681149 "STREAM2" 2681562 NIL STREAM2 (NIL T T) -7 NIL NIL) (-1077 2680419 2680471 2680564 "STREAM1" 2680673 NIL STREAM1 (NIL T) -7 NIL NIL) (-1076 2679435 2679616 2679847 "STINPROD" 2680235 NIL STINPROD (NIL T) -7 NIL NIL) (-1075 2679014 2679198 2679228 "STEP" 2679308 T STEP (NIL) -9 NIL 2679386) (-1074 2672557 2678913 2678990 "STBL" 2678995 NIL STBL (NIL T T NIL) -8 NIL NIL) (-1073 2667733 2671780 2671823 "STAGG" 2671976 NIL STAGG (NIL T) -9 NIL 2672065) (-1072 2665435 2666037 2666909 "STAGG-" 2666914 NIL STAGG- (NIL T T) -8 NIL NIL) (-1071 2663630 2665205 2665297 "STACK" 2665378 NIL STACK (NIL T) -8 NIL NIL) (-1070 2656361 2661777 2662232 "SREGSET" 2663260 NIL SREGSET (NIL T T T T) -8 NIL NIL) (-1069 2648801 2650169 2651681 "SRDCMPK" 2654967 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL) (-1068 2641769 2646242 2646272 "SRAGG" 2647575 T SRAGG (NIL) -9 NIL 2648183) (-1067 2640786 2641041 2641420 "SRAGG-" 2641425 NIL SRAGG- (NIL T) -8 NIL NIL) (-1066 2635235 2639705 2640132 "SQMATRIX" 2640405 NIL SQMATRIX (NIL NIL T) -8 NIL NIL) (-1065 2628987 2631955 2632681 "SPLTREE" 2634581 NIL SPLTREE (NIL T T) -8 NIL NIL) (-1064 2624977 2625643 2626289 "SPLNODE" 2628413 NIL SPLNODE (NIL T T) -8 NIL NIL) (-1063 2624024 2624257 2624287 "SPFCAT" 2624731 T SPFCAT (NIL) -9 NIL NIL) (-1062 2622761 2622971 2623235 "SPECOUT" 2623782 T SPECOUT (NIL) -7 NIL NIL) (-1061 2622522 2622562 2622631 "SPADPRSR" 2622714 T SPADPRSR (NIL) -7 NIL NIL) (-1060 2614545 2616292 2616334 "SPACEC" 2620657 NIL SPACEC (NIL T) -9 NIL 2622473) (-1059 2612717 2614478 2614526 "SPACE3" 2614531 NIL SPACE3 (NIL T) -8 NIL NIL) (-1058 2611469 2611640 2611931 "SORTPAK" 2612522 NIL SORTPAK (NIL T T) -7 NIL NIL) (-1057 2609525 2609828 2610246 "SOLVETRA" 2611133 NIL SOLVETRA (NIL T) -7 NIL NIL) (-1056 2608536 2608758 2609032 "SOLVESER" 2609298 NIL SOLVESER (NIL T) -7 NIL NIL) (-1055 2603756 2604637 2605639 "SOLVERAD" 2607588 NIL SOLVERAD (NIL T) -7 NIL NIL) (-1054 2599571 2600180 2600909 "SOLVEFOR" 2603123 NIL SOLVEFOR (NIL T T) -7 NIL NIL) (-1053 2593870 2598922 2599018 "SNTSCAT" 2599023 NIL SNTSCAT (NIL T T T T) -9 NIL 2599093) (-1052 2587974 2592201 2592591 "SMTS" 2593560 NIL SMTS (NIL T T T) -8 NIL NIL) (-1051 2582384 2587863 2587939 "SMP" 2587944 NIL SMP (NIL T T) -8 NIL NIL) (-1050 2580543 2580844 2581242 "SMITH" 2582081 NIL SMITH (NIL T T T T) -7 NIL NIL) (-1049 2573508 2577704 2577806 "SMATCAT" 2579146 NIL SMATCAT (NIL NIL T T T) -9 NIL 2579695) (-1048 2570449 2571272 2572449 "SMATCAT-" 2572454 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL) (-1047 2568163 2569686 2569729 "SKAGG" 2569990 NIL SKAGG (NIL T) -9 NIL 2570125) (-1046 2564221 2567267 2567545 "SINT" 2567907 T SINT (NIL) -8 NIL NIL) (-1045 2563993 2564031 2564097 "SIMPAN" 2564177 T SIMPAN (NIL) -7 NIL NIL) (-1044 2563509 2563695 2563794 "SIG" 2563916 T SIG (NIL) -8 NIL NIL) (-1043 2562347 2562568 2562843 "SIGNRF" 2563268 NIL SIGNRF (NIL T) -7 NIL NIL) (-1042 2561156 2561307 2561597 "SIGNEF" 2562176 NIL SIGNEF (NIL T T) -7 NIL NIL) (-1041 2558846 2559300 2559806 "SHP" 2560697 NIL SHP (NIL T NIL) -7 NIL NIL) (-1040 2552699 2558747 2558823 "SHDP" 2558828 NIL SHDP (NIL NIL NIL T) -8 NIL NIL) (-1039 2552189 2552381 2552411 "SGROUP" 2552563 T SGROUP (NIL) -9 NIL 2552650) (-1038 2551959 2552011 2552115 "SGROUP-" 2552120 NIL SGROUP- (NIL T) -8 NIL NIL) (-1037 2548795 2549492 2550215 "SGCF" 2551258 T SGCF (NIL) -7 NIL NIL) (-1036 2543192 2548244 2548340 "SFRTCAT" 2548345 NIL SFRTCAT (NIL T T T T) -9 NIL 2548384) (-1035 2536634 2537649 2538784 "SFRGCD" 2542175 NIL SFRGCD (NIL T T T T T) -7 NIL NIL) (-1034 2529781 2530852 2532037 "SFQCMPK" 2535567 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL) (-1033 2529403 2529492 2529602 "SFORT" 2529722 NIL SFORT (NIL T T) -8 NIL NIL) (-1032 2528548 2529243 2529364 "SEXOF" 2529369 NIL SEXOF (NIL T T T T T) -8 NIL NIL) (-1031 2527682 2528429 2528497 "SEX" 2528502 T SEX (NIL) -8 NIL NIL) (-1030 2522459 2523148 2523243 "SEXCAT" 2527014 NIL SEXCAT (NIL T T T T T) -9 NIL 2527633) (-1029 2519639 2522393 2522441 "SET" 2522446 NIL SET (NIL T) -8 NIL NIL) (-1028 2517890 2518352 2518657 "SETMN" 2519380 NIL SETMN (NIL NIL NIL) -8 NIL NIL) (-1027 2517498 2517624 2517654 "SETCAT" 2517771 T SETCAT (NIL) -9 NIL 2517855) (-1026 2517278 2517330 2517429 "SETCAT-" 2517434 NIL SETCAT- (NIL T) -8 NIL NIL) (-1025 2513666 2515740 2515783 "SETAGG" 2516653 NIL SETAGG (NIL T) -9 NIL 2516993) (-1024 2513124 2513240 2513477 "SETAGG-" 2513482 NIL SETAGG- (NIL T T) -8 NIL NIL) (-1023 2512328 2512621 2512682 "SEGXCAT" 2512968 NIL SEGXCAT (NIL T T) -9 NIL 2513088) (-1022 2511384 2511994 2512176 "SEG" 2512181 NIL SEG (NIL T) -8 NIL NIL) (-1021 2510291 2510504 2510547 "SEGCAT" 2511129 NIL SEGCAT (NIL T) -9 NIL 2511367) (-1020 2509340 2509670 2509870 "SEGBIND" 2510126 NIL SEGBIND (NIL T) -8 NIL NIL) (-1019 2508961 2509020 2509133 "SEGBIND2" 2509275 NIL SEGBIND2 (NIL T T) -7 NIL NIL) (-1018 2508180 2508306 2508510 "SEG2" 2508805 NIL SEG2 (NIL T T) -7 NIL NIL) (-1017 2507617 2508115 2508162 "SDVAR" 2508167 NIL SDVAR (NIL T) -8 NIL NIL) (-1016 2499869 2507390 2507518 "SDPOL" 2507523 NIL SDPOL (NIL T) -8 NIL NIL) (-1015 2498462 2498728 2499047 "SCPKG" 2499584 NIL SCPKG (NIL T) -7 NIL NIL) (-1014 2497598 2497778 2497978 "SCOPE" 2498284 T SCOPE (NIL) -8 NIL NIL) (-1013 2496819 2496952 2497131 "SCACHE" 2497453 NIL SCACHE (NIL T) -7 NIL NIL) (-1012 2496258 2496579 2496664 "SAOS" 2496756 T SAOS (NIL) -8 NIL NIL) (-1011 2495823 2495858 2496031 "SAERFFC" 2496217 NIL SAERFFC (NIL T T T) -7 NIL NIL) (-1010 2489717 2495720 2495800 "SAE" 2495805 NIL SAE (NIL T T NIL) -8 NIL NIL) (-1009 2489310 2489345 2489504 "SAEFACT" 2489676 NIL SAEFACT (NIL T T T) -7 NIL NIL) (-1008 2487631 2487945 2488346 "RURPK" 2488976 NIL RURPK (NIL T NIL) -7 NIL NIL) (-1007 2486271 2486550 2486861 "RULESET" 2487465 NIL RULESET (NIL T T T) -8 NIL NIL) (-1006 2483469 2483972 2484435 "RULE" 2485953 NIL RULE (NIL T T T) -8 NIL NIL) (-1005 2483108 2483263 2483346 "RULECOLD" 2483421 NIL RULECOLD (NIL NIL) -8 NIL NIL) (-1004 2477971 2478765 2479684 "RSETGCD" 2482307 NIL RSETGCD (NIL T T T T T) -7 NIL NIL) (-1003 2467257 2472309 2472405 "RSETCAT" 2476497 NIL RSETCAT (NIL T T T T) -9 NIL 2477594) (-1002 2465185 2465724 2466547 "RSETCAT-" 2466552 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL) (-1001 2457586 2458961 2460480 "RSDCMPK" 2463784 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL) (-1000 2455592 2456033 2456107 "RRCC" 2457193 NIL RRCC (NIL T T) -9 NIL 2457537) (-999 2454945 2455119 2455396 "RRCC-" 2455401 NIL RRCC- (NIL T T T) -8 NIL NIL) (-998 2429312 2438937 2439001 "RPOLCAT" 2449503 NIL RPOLCAT (NIL T T T) -9 NIL 2452661) (-997 2420816 2423154 2426272 "RPOLCAT-" 2426277 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL) (-996 2411882 2419046 2419526 "ROUTINE" 2420356 T ROUTINE (NIL) -8 NIL NIL) (-995 2408587 2411438 2411585 "ROMAN" 2411755 T ROMAN (NIL) -8 NIL NIL) (-994 2406871 2407456 2407714 "ROIRC" 2408392 NIL ROIRC (NIL T T) -8 NIL NIL) (-993 2403276 2405580 2405608 "RNS" 2405904 T RNS (NIL) -9 NIL 2406174) (-992 2401790 2402173 2402704 "RNS-" 2402777 NIL RNS- (NIL T) -8 NIL NIL) (-991 2401216 2401624 2401652 "RNG" 2401657 T RNG (NIL) -9 NIL 2401678) (-990 2400614 2400976 2401016 "RMODULE" 2401076 NIL RMODULE (NIL T) -9 NIL 2401118) (-989 2399466 2399560 2399890 "RMCAT2" 2400515 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL) (-988 2396180 2398649 2398970 "RMATRIX" 2399201 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL) (-987 2389177 2391411 2391523 "RMATCAT" 2394832 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2395814) (-986 2388556 2388703 2389006 "RMATCAT-" 2389011 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL) (-985 2388126 2388201 2388327 "RINTERP" 2388475 NIL RINTERP (NIL NIL T) -7 NIL NIL) (-984 2387177 2387741 2387769 "RING" 2387879 T RING (NIL) -9 NIL 2387973) (-983 2386972 2387016 2387110 "RING-" 2387115 NIL RING- (NIL T) -8 NIL NIL) (-982 2385820 2386057 2386313 "RIDIST" 2386736 T RIDIST (NIL) -7 NIL NIL) (-981 2377140 2385292 2385496 "RGCHAIN" 2385668 NIL RGCHAIN (NIL T NIL) -8 NIL NIL) (-980 2374145 2374759 2375427 "RF" 2376504 NIL RF (NIL T) -7 NIL NIL) (-979 2373794 2373857 2373958 "RFFACTOR" 2374076 NIL RFFACTOR (NIL T) -7 NIL NIL) (-978 2373522 2373557 2373652 "RFFACT" 2373753 NIL RFFACT (NIL T) -7 NIL NIL) (-977 2371652 2372016 2372396 "RFDIST" 2373162 T RFDIST (NIL) -7 NIL NIL) (-976 2371110 2371202 2371362 "RETSOL" 2371554 NIL RETSOL (NIL T T) -7 NIL NIL) (-975 2370703 2370783 2370824 "RETRACT" 2371014 NIL RETRACT (NIL T) -9 NIL NIL) (-974 2370555 2370580 2370664 "RETRACT-" 2370669 NIL RETRACT- (NIL T T) -8 NIL NIL) (-973 2363413 2370212 2370337 "RESULT" 2370450 T RESULT (NIL) -8 NIL NIL) (-972 2361998 2362687 2362884 "RESRING" 2363316 NIL RESRING (NIL T T T T NIL) -8 NIL NIL) (-971 2361638 2361687 2361783 "RESLATC" 2361935 NIL RESLATC (NIL T) -7 NIL NIL) (-970 2361347 2361381 2361486 "REPSQ" 2361597 NIL REPSQ (NIL T) -7 NIL NIL) (-969 2358778 2359358 2359958 "REP" 2360767 T REP (NIL) -7 NIL NIL) (-968 2358479 2358513 2358622 "REPDB" 2358737 NIL REPDB (NIL T) -7 NIL NIL) (-967 2352424 2353803 2355023 "REP2" 2357291 NIL REP2 (NIL T) -7 NIL NIL) (-966 2348830 2349511 2350316 "REP1" 2351651 NIL REP1 (NIL T) -7 NIL NIL) (-965 2341574 2346989 2347442 "REGSET" 2348460 NIL REGSET (NIL T T T T) -8 NIL NIL) (-964 2340395 2340730 2340978 "REF" 2341359 NIL REF (NIL T) -8 NIL NIL) (-963 2339776 2339879 2340044 "REDORDER" 2340279 NIL REDORDER (NIL T T) -7 NIL NIL) (-962 2335745 2339010 2339231 "RECLOS" 2339607 NIL RECLOS (NIL T) -8 NIL NIL) (-961 2334802 2334983 2335196 "REALSOLV" 2335552 T REALSOLV (NIL) -7 NIL NIL) (-960 2334650 2334691 2334719 "REAL" 2334724 T REAL (NIL) -9 NIL 2334759) (-959 2331141 2331943 2332825 "REAL0Q" 2333815 NIL REAL0Q (NIL T) -7 NIL NIL) (-958 2326752 2327740 2328799 "REAL0" 2330122 NIL REAL0 (NIL T) -7 NIL NIL) (-957 2326160 2326232 2326437 "RDIV" 2326674 NIL RDIV (NIL T T T T T) -7 NIL NIL) (-956 2325233 2325407 2325618 "RDIST" 2325982 NIL RDIST (NIL T) -7 NIL NIL) (-955 2323837 2324124 2324493 "RDETRS" 2324941 NIL RDETRS (NIL T T) -7 NIL NIL) (-954 2321658 2322112 2322647 "RDETR" 2323379 NIL RDETR (NIL T T) -7 NIL NIL) (-953 2320274 2320552 2320953 "RDEEFS" 2321374 NIL RDEEFS (NIL T T) -7 NIL NIL) (-952 2318774 2319080 2319509 "RDEEF" 2319962 NIL RDEEF (NIL T T) -7 NIL NIL) (-951 2313059 2315991 2316019 "RCFIELD" 2317296 T RCFIELD (NIL) -9 NIL 2318026) (-950 2311128 2311632 2312325 "RCFIELD-" 2312398 NIL RCFIELD- (NIL T) -8 NIL NIL) (-949 2307460 2309245 2309286 "RCAGG" 2310357 NIL RCAGG (NIL T) -9 NIL 2310822) (-948 2307091 2307185 2307345 "RCAGG-" 2307350 NIL RCAGG- (NIL T T) -8 NIL NIL) (-947 2306435 2306547 2306709 "RATRET" 2306975 NIL RATRET (NIL T) -7 NIL NIL) (-946 2305992 2306059 2306178 "RATFACT" 2306363 NIL RATFACT (NIL T) -7 NIL NIL) (-945 2305307 2305427 2305577 "RANDSRC" 2305862 T RANDSRC (NIL) -7 NIL NIL) (-944 2305044 2305088 2305159 "RADUTIL" 2305256 T RADUTIL (NIL) -7 NIL NIL) (-943 2298051 2303787 2304104 "RADIX" 2304759 NIL RADIX (NIL NIL) -8 NIL NIL) (-942 2289620 2297895 2298023 "RADFF" 2298028 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL) (-941 2289272 2289347 2289375 "RADCAT" 2289532 T RADCAT (NIL) -9 NIL NIL) (-940 2289057 2289105 2289202 "RADCAT-" 2289207 NIL RADCAT- (NIL T) -8 NIL NIL) (-939 2287208 2288832 2288921 "QUEUE" 2289001 NIL QUEUE (NIL T) -8 NIL NIL) (-938 2283705 2287145 2287190 "QUAT" 2287195 NIL QUAT (NIL T) -8 NIL NIL) (-937 2283343 2283386 2283513 "QUATCT2" 2283656 NIL QUATCT2 (NIL T T T T) -7 NIL NIL) (-936 2277137 2280517 2280557 "QUATCAT" 2281336 NIL QUATCAT (NIL T) -9 NIL 2282101) (-935 2273281 2274318 2275705 "QUATCAT-" 2275799 NIL QUATCAT- (NIL T T) -8 NIL NIL) (-934 2270802 2272366 2272407 "QUAGG" 2272782 NIL QUAGG (NIL T) -9 NIL 2272957) (-933 2269727 2270200 2270372 "QFORM" 2270674 NIL QFORM (NIL NIL T) -8 NIL NIL) (-932 2261024 2266282 2266322 "QFCAT" 2266980 NIL QFCAT (NIL T) -9 NIL 2267973) (-931 2256596 2257797 2259388 "QFCAT-" 2259482 NIL QFCAT- (NIL T T) -8 NIL NIL) (-930 2256234 2256277 2256404 "QFCAT2" 2256547 NIL QFCAT2 (NIL T T T T) -7 NIL NIL) (-929 2255694 2255804 2255934 "QEQUAT" 2256124 T QEQUAT (NIL) -8 NIL NIL) (-928 2248861 2249932 2251115 "QCMPACK" 2254627 NIL QCMPACK (NIL T T T T T) -7 NIL NIL) (-927 2246437 2246858 2247286 "QALGSET" 2248516 NIL QALGSET (NIL T T T T) -8 NIL NIL) (-926 2245682 2245856 2246088 "QALGSET2" 2246257 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL) (-925 2244373 2244596 2244913 "PWFFINTB" 2245455 NIL PWFFINTB (NIL T T T T) -7 NIL NIL) (-924 2242561 2242729 2243082 "PUSHVAR" 2244187 NIL PUSHVAR (NIL T T T T) -7 NIL NIL) (-923 2238479 2239533 2239574 "PTRANFN" 2241458 NIL PTRANFN (NIL T) -9 NIL NIL) (-922 2236891 2237182 2237503 "PTPACK" 2238190 NIL PTPACK (NIL T) -7 NIL NIL) (-921 2236527 2236584 2236691 "PTFUNC2" 2236828 NIL PTFUNC2 (NIL T T) -7 NIL NIL) (-920 2231004 2235345 2235385 "PTCAT" 2235753 NIL PTCAT (NIL T) -9 NIL 2235915) (-919 2230662 2230697 2230821 "PSQFR" 2230963 NIL PSQFR (NIL T T T T) -7 NIL NIL) (-918 2229257 2229555 2229889 "PSEUDLIN" 2230360 NIL PSEUDLIN (NIL T) -7 NIL NIL) (-917 2216064 2218429 2220752 "PSETPK" 2227017 NIL PSETPK (NIL T T T T) -7 NIL NIL) (-916 2209151 2211865 2211959 "PSETCAT" 2214940 NIL PSETCAT (NIL T T T T) -9 NIL 2215754) (-915 2206989 2207623 2208442 "PSETCAT-" 2208447 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL) (-914 2206338 2206503 2206531 "PSCURVE" 2206799 T PSCURVE (NIL) -9 NIL 2206966) (-913 2202790 2204316 2204380 "PSCAT" 2205216 NIL PSCAT (NIL T T T) -9 NIL 2205456) (-912 2201854 2202070 2202469 "PSCAT-" 2202474 NIL PSCAT- (NIL T T T T) -8 NIL NIL) (-911 2200506 2201139 2201353 "PRTITION" 2201660 T PRTITION (NIL) -8 NIL NIL) (-910 2189604 2191810 2193998 "PRS" 2198368 NIL PRS (NIL T T) -7 NIL NIL) (-909 2187463 2188955 2188995 "PRQAGG" 2189178 NIL PRQAGG (NIL T) -9 NIL 2189280) (-908 2187034 2187136 2187164 "PROPLOG" 2187349 T PROPLOG (NIL) -9 NIL NIL) (-907 2184157 2184722 2185249 "PROPFRML" 2186539 NIL PROPFRML (NIL T) -8 NIL NIL) (-906 2183617 2183727 2183857 "PROPERTY" 2184047 T PROPERTY (NIL) -8 NIL NIL) (-905 2177391 2181783 2182603 "PRODUCT" 2182843 NIL PRODUCT (NIL T T) -8 NIL NIL) (-904 2174667 2176851 2177084 "PR" 2177202 NIL PR (NIL T T) -8 NIL NIL) (-903 2174463 2174495 2174554 "PRINT" 2174628 T PRINT (NIL) -7 NIL NIL) (-902 2173803 2173920 2174072 "PRIMES" 2174343 NIL PRIMES (NIL T) -7 NIL NIL) (-901 2171868 2172269 2172735 "PRIMELT" 2173382 NIL PRIMELT (NIL T) -7 NIL NIL) (-900 2171597 2171646 2171674 "PRIMCAT" 2171798 T PRIMCAT (NIL) -9 NIL NIL) (-899 2167758 2171535 2171580 "PRIMARR" 2171585 NIL PRIMARR (NIL T) -8 NIL NIL) (-898 2166765 2166943 2167171 "PRIMARR2" 2167576 NIL PRIMARR2 (NIL T T) -7 NIL NIL) (-897 2166408 2166464 2166575 "PREASSOC" 2166703 NIL PREASSOC (NIL T T) -7 NIL NIL) (-896 2165883 2166016 2166044 "PPCURVE" 2166249 T PPCURVE (NIL) -9 NIL 2166385) (-895 2165505 2165678 2165761 "PORTNUM" 2165820 T PORTNUM (NIL) -8 NIL NIL) (-894 2162864 2163263 2163855 "POLYROOT" 2165086 NIL POLYROOT (NIL T T T T T) -7 NIL NIL) (-893 2156770 2162470 2162629 "POLY" 2162737 NIL POLY (NIL T) -8 NIL NIL) (-892 2156155 2156213 2156446 "POLYLIFT" 2156706 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL) (-891 2152440 2152889 2153517 "POLYCATQ" 2155700 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL) (-890 2139481 2144878 2144942 "POLYCAT" 2148427 NIL POLYCAT (NIL T T 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2029932 2030623 "PDEPROB" 2031369 T PDEPROB (NIL) -8 NIL NIL) (-838 2026752 2027248 2027797 "PDEPACK" 2028652 T PDEPACK (NIL) -7 NIL NIL) (-837 2025664 2025854 2026105 "PDECOMP" 2026551 NIL PDECOMP (NIL T T) -7 NIL NIL) (-836 2023276 2024091 2024119 "PDECAT" 2024904 T PDECAT (NIL) -9 NIL 2025615) (-835 2023029 2023062 2023151 "PCOMP" 2023237 NIL PCOMP (NIL T T) -7 NIL NIL) (-834 2021236 2021832 2022128 "PBWLB" 2022759 NIL PBWLB (NIL T) -8 NIL NIL) (-833 2013744 2015313 2016649 "PATTERN" 2019921 NIL PATTERN (NIL T) -8 NIL NIL) (-832 2013376 2013433 2013542 "PATTERN2" 2013681 NIL PATTERN2 (NIL T T) -7 NIL NIL) (-831 2011133 2011521 2011978 "PATTERN1" 2012965 NIL PATTERN1 (NIL T T) -7 NIL NIL) (-830 2008528 2009082 2009563 "PATRES" 2010698 NIL PATRES (NIL T T) -8 NIL NIL) (-829 2008092 2008159 2008291 "PATRES2" 2008455 NIL PATRES2 (NIL T T T) -7 NIL NIL) (-828 2005989 2006389 2006794 "PATMATCH" 2007761 NIL PATMATCH (NIL T T T) -7 NIL NIL) (-827 2005526 2005709 2005750 "PATMAB" 2005857 NIL PATMAB (NIL T) -9 NIL 2005940) (-826 2004071 2004380 2004638 "PATLRES" 2005331 NIL PATLRES (NIL T T T) -8 NIL NIL) (-825 2003617 2003740 2003781 "PATAB" 2003786 NIL PATAB (NIL T) -9 NIL 2003958) (-824 2001098 2001630 2002203 "PARTPERM" 2003064 T PARTPERM (NIL) -7 NIL NIL) (-823 2000719 2000782 2000884 "PARSURF" 2001029 NIL PARSURF (NIL T) -8 NIL NIL) (-822 2000351 2000408 2000517 "PARSU2" 2000656 NIL PARSU2 (NIL T T) -7 NIL NIL) (-821 2000115 2000155 2000222 "PARSER" 2000304 T PARSER (NIL) -7 NIL NIL) (-820 1999736 1999799 1999901 "PARSCURV" 2000046 NIL PARSCURV (NIL T) -8 NIL NIL) (-819 1999368 1999425 1999534 "PARSC2" 1999673 NIL PARSC2 (NIL T T) -7 NIL NIL) (-818 1999007 1999065 1999162 "PARPCURV" 1999304 NIL PARPCURV (NIL T) -8 NIL NIL) (-817 1998639 1998696 1998805 "PARPC2" 1998944 NIL PARPC2 (NIL T T) -7 NIL NIL) (-816 1998159 1998245 1998364 "PAN2EXPR" 1998540 T PAN2EXPR (NIL) -7 NIL NIL) (-815 1996965 1997280 1997508 "PALETTE" 1997951 T PALETTE (NIL) -8 NIL NIL) (-814 1995433 1995970 1996330 "PAIR" 1996651 NIL PAIR (NIL T T) -8 NIL NIL) (-813 1989283 1994692 1994886 "PADICRC" 1995288 NIL PADICRC (NIL NIL T) -8 NIL NIL) (-812 1982491 1988629 1988813 "PADICRAT" 1989131 NIL PADICRAT (NIL NIL) -8 NIL NIL) (-811 1980795 1982428 1982473 "PADIC" 1982478 NIL PADIC (NIL NIL) -8 NIL NIL) (-810 1978000 1979574 1979614 "PADICCT" 1980195 NIL PADICCT (NIL NIL) -9 NIL 1980477) (-809 1976957 1977157 1977425 "PADEPAC" 1977787 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL) (-808 1976169 1976302 1976508 "PADE" 1976819 NIL PADE (NIL T T T) -7 NIL NIL) (-807 1974180 1975012 1975327 "OWP" 1975937 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL) (-806 1973289 1973785 1973957 "OVAR" 1974048 NIL OVAR (NIL NIL) -8 NIL NIL) (-805 1972553 1972674 1972835 "OUT" 1973148 T OUT (NIL) -7 NIL NIL) (-804 1961607 1963778 1965948 "OUTFORM" 1970403 T OUTFORM (NIL) -8 NIL NIL) (-803 1961015 1961336 1961425 "OSI" 1961538 T OSI (NIL) -8 NIL NIL) (-802 1960546 1960884 1960912 "OSGROUP" 1960917 T OSGROUP (NIL) -9 NIL 1960939) (-801 1959291 1959518 1959803 "ORTHPOL" 1960293 NIL ORTHPOL (NIL T) -7 NIL NIL) (-800 1956662 1958952 1959090 "OREUP" 1959234 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL) (-799 1954058 1956355 1956481 "ORESUP" 1956604 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL) (-798 1951593 1952093 1952653 "OREPCTO" 1953547 NIL OREPCTO (NIL T T) -7 NIL NIL) (-797 1945503 1947709 1947749 "OREPCAT" 1950070 NIL OREPCAT (NIL T) -9 NIL 1951173) (-796 1942651 1943433 1944490 "OREPCAT-" 1944495 NIL OREPCAT- (NIL T T) -8 NIL NIL) (-795 1941829 1942101 1942129 "ORDSET" 1942438 T ORDSET (NIL) -9 NIL 1942602) (-794 1941348 1941470 1941663 "ORDSET-" 1941668 NIL ORDSET- (NIL T) -8 NIL NIL) (-793 1939962 1940763 1940791 "ORDRING" 1940993 T ORDRING (NIL) -9 NIL 1941117) (-792 1939607 1939701 1939845 "ORDRING-" 1939850 NIL ORDRING- (NIL T) -8 NIL NIL) (-791 1938970 1939451 1939479 "ORDMON" 1939484 T ORDMON (NIL) -9 NIL 1939505) (-790 1938132 1938279 1938474 "ORDFUNS" 1938819 NIL ORDFUNS (NIL NIL T) -7 NIL NIL) (-789 1937644 1938003 1938031 "ORDFIN" 1938036 T ORDFIN (NIL) -9 NIL 1938057) (-788 1934156 1936230 1936639 "ORDCOMP" 1937268 NIL ORDCOMP (NIL T) -8 NIL NIL) (-787 1933422 1933549 1933735 "ORDCOMP2" 1934016 NIL ORDCOMP2 (NIL T T) -7 NIL NIL) (-786 1929929 1930812 1931649 "OPTPROB" 1932605 T OPTPROB (NIL) -8 NIL NIL) (-785 1926771 1927400 1928094 "OPTPACK" 1929255 T OPTPACK (NIL) -7 NIL NIL) (-784 1924497 1925233 1925261 "OPTCAT" 1926076 T OPTCAT (NIL) -9 NIL 1926722) (-783 1924265 1924304 1924370 "OPQUERY" 1924451 T OPQUERY (NIL) -7 NIL NIL) (-782 1921401 1922592 1923092 "OP" 1923797 NIL OP (NIL T) -8 NIL NIL) (-781 1918166 1920198 1920567 "ONECOMP" 1921065 NIL ONECOMP (NIL T) -8 NIL NIL) (-780 1917471 1917586 1917760 "ONECOMP2" 1918038 NIL ONECOMP2 (NIL T T) -7 NIL NIL) (-779 1916890 1916996 1917126 "OMSERVER" 1917361 T OMSERVER (NIL) -7 NIL NIL) (-778 1913779 1916331 1916371 "OMSAGG" 1916432 NIL OMSAGG (NIL T) -9 NIL 1916496) (-777 1912402 1912665 1912947 "OMPKG" 1913517 T OMPKG (NIL) -7 NIL NIL) (-776 1911832 1911935 1911963 "OM" 1912262 T OM (NIL) -9 NIL NIL) (-775 1910371 1911384 1911552 "OMLO" 1911713 NIL OMLO (NIL T T) -8 NIL NIL) (-774 1909301 1909448 1909674 "OMEXPR" 1910197 NIL OMEXPR (NIL T) -7 NIL NIL) (-773 1908619 1908847 1908983 "OMERR" 1909185 T OMERR (NIL) -8 NIL NIL) (-772 1907797 1908040 1908200 "OMERRK" 1908479 T OMERRK (NIL) -8 NIL NIL) (-771 1907275 1907474 1907582 "OMENC" 1907709 T OMENC (NIL) -8 NIL NIL) (-770 1901170 1902355 1903526 "OMDEV" 1906124 T OMDEV (NIL) -8 NIL NIL) (-769 1900239 1900410 1900604 "OMCONN" 1900996 T OMCONN (NIL) -8 NIL NIL) (-768 1898855 1899841 1899869 "OINTDOM" 1899874 T OINTDOM (NIL) -9 NIL 1899895) (-767 1894617 1895847 1896562 "OFMONOID" 1898172 NIL OFMONOID (NIL T) -8 NIL NIL) (-766 1894055 1894554 1894599 "ODVAR" 1894604 NIL ODVAR (NIL T) -8 NIL NIL) (-765 1891180 1893552 1893737 "ODR" 1893930 NIL ODR (NIL T T NIL) -8 NIL NIL) (-764 1883486 1890959 1891083 "ODPOL" 1891088 NIL ODPOL (NIL T) -8 NIL NIL) (-763 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1847110 "ODEIFTBL" 1848710 T ODEIFTBL (NIL) -8 NIL NIL) (-750 1839582 1840368 1841326 "ODEEF" 1843397 NIL ODEEF (NIL T T) -7 NIL NIL) (-749 1838919 1839008 1839237 "ODECONST" 1839487 NIL ODECONST (NIL T T T) -7 NIL NIL) (-748 1837077 1837710 1837738 "ODECAT" 1838341 T ODECAT (NIL) -9 NIL 1838870) (-747 1833949 1836789 1836908 "OCT" 1836990 NIL OCT (NIL T) -8 NIL NIL) (-746 1833587 1833630 1833757 "OCTCT2" 1833900 NIL OCTCT2 (NIL T T T T) -7 NIL NIL) (-745 1828421 1830859 1830899 "OC" 1831995 NIL OC (NIL T) -9 NIL 1832852) (-744 1825648 1826396 1827386 "OC-" 1827480 NIL OC- (NIL T T) -8 NIL NIL) (-743 1825027 1825469 1825497 "OCAMON" 1825502 T OCAMON (NIL) -9 NIL 1825523) (-742 1824585 1824900 1824928 "OASGP" 1824933 T OASGP (NIL) -9 NIL 1824953) (-741 1823873 1824336 1824364 "OAMONS" 1824404 T OAMONS (NIL) -9 NIL 1824447) (-740 1823314 1823721 1823749 "OAMON" 1823754 T OAMON (NIL) -9 NIL 1823774) (-739 1822619 1823111 1823139 "OAGROUP" 1823144 T OAGROUP (NIL) -9 NIL 1823164) (-738 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-7 NIL NIL) (-725 1761465 1761580 1761796 "NORMRETR" 1762280 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL) (-724 1759512 1759802 1760210 "NORMPK" 1761173 NIL NORMPK (NIL T T T T T) -7 NIL NIL) (-723 1759197 1759225 1759349 "NORMMA" 1759478 NIL NORMMA (NIL T T T T) -7 NIL NIL) (-722 1759024 1759154 1759183 "NONE" 1759188 T NONE (NIL) -8 NIL NIL) (-721 1758813 1758842 1758911 "NONE1" 1758988 NIL NONE1 (NIL T) -7 NIL NIL) (-720 1758298 1758360 1758545 "NODE1" 1758745 NIL NODE1 (NIL T T) -7 NIL NIL) (-719 1756592 1757461 1757716 "NNI" 1758063 T NNI (NIL) -8 NIL NIL) (-718 1755012 1755325 1755689 "NLINSOL" 1756260 NIL NLINSOL (NIL T) -7 NIL NIL) (-717 1751179 1752147 1753069 "NIPROB" 1754110 T NIPROB (NIL) -8 NIL NIL) (-716 1749936 1750170 1750472 "NFINTBAS" 1750941 NIL NFINTBAS (NIL T T) -7 NIL NIL) (-715 1748644 1748875 1749156 "NCODIV" 1749704 NIL NCODIV (NIL T T) -7 NIL NIL) (-714 1748406 1748443 1748518 "NCNTFRAC" 1748601 NIL NCNTFRAC (NIL T) -7 NIL NIL) (-713 1746586 1746950 1747370 "NCEP" 1748031 NIL NCEP (NIL T) -7 NIL NIL) (-712 1745498 1746237 1746265 "NASRING" 1746375 T NASRING (NIL) -9 NIL 1746449) (-711 1745293 1745337 1745431 "NASRING-" 1745436 NIL NASRING- (NIL T) -8 NIL NIL) (-710 1744447 1744946 1744974 "NARNG" 1745091 T NARNG (NIL) -9 NIL 1745182) (-709 1744139 1744206 1744340 "NARNG-" 1744345 NIL NARNG- (NIL T) -8 NIL NIL) (-708 1743018 1743225 1743460 "NAGSP" 1743924 T NAGSP (NIL) -7 NIL NIL) (-707 1734442 1736088 1737723 "NAGS" 1741403 T NAGS (NIL) -7 NIL NIL) (-706 1733006 1733310 1733637 "NAGF07" 1734135 T NAGF07 (NIL) -7 NIL NIL) (-705 1727588 1728868 1730164 "NAGF04" 1731730 T NAGF04 (NIL) -7 NIL NIL) (-704 1720620 1722218 1723835 "NAGF02" 1725991 T NAGF02 (NIL) -7 NIL NIL) (-703 1715884 1716974 1718081 "NAGF01" 1719533 T NAGF01 (NIL) -7 NIL NIL) (-702 1709544 1711102 1712679 "NAGE04" 1714327 T NAGE04 (NIL) -7 NIL NIL) (-701 1700785 1702888 1705000 "NAGE02" 1707452 T NAGE02 (NIL) -7 NIL NIL) (-700 1696778 1697715 1698669 "NAGE01" 1699851 T NAGE01 (NIL) -7 NIL NIL) (-699 1694585 1695116 1695671 "NAGD03" 1696243 T NAGD03 (NIL) -7 NIL NIL) (-698 1686371 1688290 1690235 "NAGD02" 1692660 T NAGD02 (NIL) -7 NIL NIL) (-697 1680230 1681643 1683071 "NAGD01" 1684963 T NAGD01 (NIL) -7 NIL NIL) (-696 1676487 1677297 1678122 "NAGC06" 1679425 T NAGC06 (NIL) -7 NIL NIL) (-695 1674964 1675293 1675646 "NAGC05" 1676154 T NAGC05 (NIL) -7 NIL NIL) (-694 1674348 1674465 1674607 "NAGC02" 1674842 T NAGC02 (NIL) -7 NIL NIL) (-693 1673410 1673967 1674007 "NAALG" 1674086 NIL NAALG (NIL T) -9 NIL 1674147) (-692 1673245 1673274 1673364 "NAALG-" 1673369 NIL NAALG- (NIL T T) -8 NIL NIL) (-691 1667195 1668303 1669490 "MULTSQFR" 1672141 NIL MULTSQFR (NIL T T T T) -7 NIL NIL) (-690 1666514 1666589 1666773 "MULTFACT" 1667107 NIL MULTFACT (NIL T T T T) -7 NIL NIL) (-689 1659708 1663619 1663671 "MTSCAT" 1664731 NIL MTSCAT (NIL T T) -9 NIL 1665245) (-688 1659420 1659474 1659566 "MTHING" 1659648 NIL MTHING (NIL T) -7 NIL NIL) (-687 1659212 1659245 1659305 "MSYSCMD" 1659380 T MSYSCMD (NIL) -7 NIL NIL) (-686 1655324 1657967 1658287 "MSET" 1658925 NIL MSET (NIL T) -8 NIL NIL) (-685 1652420 1654886 1654927 "MSETAGG" 1654932 NIL MSETAGG (NIL T) -9 NIL 1654966) (-684 1648276 1649818 1650559 "MRING" 1651723 NIL MRING (NIL T T) -8 NIL NIL) (-683 1647846 1647913 1648042 "MRF2" 1648203 NIL MRF2 (NIL T T T) -7 NIL NIL) (-682 1647464 1647499 1647643 "MRATFAC" 1647805 NIL MRATFAC (NIL T T T T) -7 NIL NIL) (-681 1645076 1645371 1645802 "MPRFF" 1647169 NIL MPRFF (NIL T T T T) -7 NIL NIL) (-680 1639096 1644931 1645027 "MPOLY" 1645032 NIL MPOLY (NIL NIL T) -8 NIL NIL) (-679 1638586 1638621 1638829 "MPCPF" 1639055 NIL MPCPF (NIL T T T T) -7 NIL NIL) (-678 1638102 1638145 1638328 "MPC3" 1638537 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL) (-677 1637303 1637384 1637603 "MPC2" 1638017 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL) (-676 1635604 1635941 1636331 "MONOTOOL" 1636963 NIL MONOTOOL (NIL T T) -7 NIL NIL) (-675 1634729 1635064 1635092 "MONOID" 1635369 T MONOID (NIL) -9 NIL 1635541) (-674 1634107 1634270 1634513 "MONOID-" 1634518 NIL MONOID- (NIL T) -8 NIL NIL) (-673 1625088 1631074 1631133 "MONOGEN" 1631807 NIL MONOGEN (NIL T T) -9 NIL 1632263) (-672 1622306 1623041 1624041 "MONOGEN-" 1624160 NIL MONOGEN- (NIL T T T) -8 NIL NIL) (-671 1621166 1621586 1621614 "MONADWU" 1622006 T MONADWU (NIL) -9 NIL 1622244) (-670 1620538 1620697 1620945 "MONADWU-" 1620950 NIL MONADWU- (NIL T) -8 NIL NIL) (-669 1619924 1620142 1620170 "MONAD" 1620377 T MONAD (NIL) -9 NIL 1620489) (-668 1619609 1619687 1619819 "MONAD-" 1619824 NIL MONAD- (NIL T) -8 NIL NIL) (-667 1617860 1618522 1618801 "MOEBIUS" 1619362 NIL MOEBIUS (NIL T) -8 NIL NIL) (-666 1617254 1617632 1617672 "MODULE" 1617677 NIL MODULE (NIL T) -9 NIL 1617703) (-665 1616822 1616918 1617108 "MODULE-" 1617113 NIL MODULE- (NIL T T) -8 NIL NIL) (-664 1614493 1615188 1615514 "MODRING" 1616647 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL) (-663 1611449 1612614 1613131 "MODOP" 1614025 NIL MODOP (NIL T T) -8 NIL NIL) (-662 1609636 1610088 1610429 "MODMONOM" 1611248 NIL MODMONOM (NIL T T NIL) -8 NIL NIL) (-661 1599315 1607840 1608262 "MODMON" 1609264 NIL MODMON (NIL T T) -8 NIL NIL) (-660 1596441 1598159 1598435 "MODFIELD" 1599190 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL) (-659 1595445 1595722 1595912 "MMLFORM" 1596271 T MMLFORM (NIL) -8 NIL NIL) (-658 1594971 1595014 1595193 "MMAP" 1595396 NIL MMAP (NIL T T T T T T) -7 NIL NIL) (-657 1593208 1593985 1594025 "MLO" 1594442 NIL MLO (NIL T) -9 NIL 1594683) (-656 1590575 1591090 1591692 "MLIFT" 1592689 NIL MLIFT (NIL T T T T) -7 NIL NIL) (-655 1589966 1590050 1590204 "MKUCFUNC" 1590486 NIL MKUCFUNC (NIL T T T) -7 NIL NIL) (-654 1589565 1589635 1589758 "MKRECORD" 1589889 NIL MKRECORD (NIL T T) -7 NIL NIL) (-653 1588613 1588774 1589002 "MKFUNC" 1589376 NIL MKFUNC (NIL T) -7 NIL NIL) (-652 1588001 1588105 1588261 "MKFLCFN" 1588496 NIL MKFLCFN (NIL T) -7 NIL NIL) (-651 1587427 1587794 1587883 "MKCHSET" 1587945 NIL MKCHSET (NIL T) -8 NIL NIL) (-650 1586704 1586806 1586991 "MKBCFUNC" 1587320 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL) (-649 1583388 1586258 1586394 "MINT" 1586588 T MINT (NIL) -8 NIL NIL) (-648 1582200 1582443 1582720 "MHROWRED" 1583143 NIL MHROWRED (NIL T) -7 NIL NIL) (-647 1577471 1580645 1581069 "MFLOAT" 1581796 T MFLOAT (NIL) -8 NIL NIL) (-646 1576828 1576904 1577075 "MFINFACT" 1577383 NIL MFINFACT (NIL T T T T) -7 NIL NIL) (-645 1573143 1573991 1574875 "MESH" 1575964 T MESH (NIL) -7 NIL NIL) (-644 1571533 1571845 1572198 "MDDFACT" 1572830 NIL MDDFACT (NIL T) -7 NIL NIL) (-643 1568376 1570693 1570734 "MDAGG" 1570989 NIL MDAGG (NIL T) -9 NIL 1571132) (-642 1558074 1567669 1567876 "MCMPLX" 1568189 T MCMPLX (NIL) -8 NIL NIL) (-641 1557215 1557361 1557561 "MCDEN" 1557923 NIL MCDEN (NIL T T) -7 NIL NIL) (-640 1555105 1555375 1555755 "MCALCFN" 1556945 NIL MCALCFN (NIL T T T T) -7 NIL NIL) (-639 1554016 1554189 1554430 "MAYBE" 1554903 NIL MAYBE (NIL T) -8 NIL NIL) (-638 1551638 1552161 1552722 "MATSTOR" 1553487 NIL MATSTOR (NIL T) -7 NIL NIL) (-637 1547647 1551013 1551260 "MATRIX" 1551423 NIL MATRIX (NIL T) -8 NIL NIL) (-636 1543416 1544120 1544856 "MATLIN" 1547004 NIL MATLIN (NIL T T T T) -7 NIL NIL) (-635 1533614 1536752 1536828 "MATCAT" 1541666 NIL MATCAT (NIL T T T) -9 NIL 1543083) (-634 1529979 1530992 1532347 "MATCAT-" 1532352 NIL MATCAT- (NIL T T T T) -8 NIL NIL) (-633 1528581 1528734 1529065 "MATCAT2" 1529814 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-632 1526693 1527017 1527401 "MAPPKG3" 1528256 NIL MAPPKG3 (NIL T T T) -7 NIL NIL) (-631 1525674 1525847 1526069 "MAPPKG2" 1526517 NIL MAPPKG2 (NIL T T) -7 NIL NIL) (-630 1524173 1524457 1524784 "MAPPKG1" 1525380 NIL MAPPKG1 (NIL T) -7 NIL NIL) (-629 1523784 1523842 1523965 "MAPHACK3" 1524109 NIL MAPHACK3 (NIL T T T) -7 NIL NIL) (-628 1523376 1523437 1523551 "MAPHACK2" 1523716 NIL MAPHACK2 (NIL T T) -7 NIL NIL) (-627 1522814 1522917 1523059 "MAPHACK1" 1523267 NIL MAPHACK1 (NIL T) -7 NIL NIL) (-626 1520922 1521516 1521819 "MAGMA" 1522543 NIL MAGMA (NIL T) -8 NIL NIL) (-625 1517397 1519166 1519626 "M3D" 1520495 NIL M3D (NIL T) -8 NIL NIL) (-624 1511553 1515768 1515809 "LZSTAGG" 1516591 NIL LZSTAGG (NIL T) -9 NIL 1516886) (-623 1507526 1508684 1510141 "LZSTAGG-" 1510146 NIL LZSTAGG- (NIL T T) -8 NIL NIL) (-622 1504642 1505419 1505905 "LWORD" 1507072 NIL LWORD (NIL T) -8 NIL NIL) (-621 1497802 1504413 1504547 "LSQM" 1504552 NIL LSQM (NIL NIL T) -8 NIL NIL) (-620 1497026 1497165 1497393 "LSPP" 1497657 NIL LSPP (NIL T T T T) -7 NIL NIL) (-619 1494838 1495139 1495595 "LSMP" 1496715 NIL LSMP (NIL T T T T) -7 NIL NIL) (-618 1491617 1492291 1493021 "LSMP1" 1494140 NIL LSMP1 (NIL T) -7 NIL NIL) (-617 1485544 1490786 1490827 "LSAGG" 1490889 NIL LSAGG (NIL T) -9 NIL 1490967) (-616 1482239 1483163 1484376 "LSAGG-" 1484381 NIL LSAGG- (NIL T T) -8 NIL NIL) (-615 1479865 1481383 1481632 "LPOLY" 1482034 NIL LPOLY (NIL T T) -8 NIL NIL) (-614 1479447 1479532 1479655 "LPEFRAC" 1479774 NIL LPEFRAC (NIL T) -7 NIL NIL) (-613 1477794 1478541 1478794 "LO" 1479279 NIL LO (NIL T T T) -8 NIL NIL) (-612 1477448 1477560 1477588 "LOGIC" 1477699 T LOGIC (NIL) -9 NIL 1477779) (-611 1477310 1477333 1477404 "LOGIC-" 1477409 NIL LOGIC- (NIL T) -8 NIL NIL) (-610 1476503 1476643 1476836 "LODOOPS" 1477166 NIL LODOOPS (NIL T T) -7 NIL NIL) (-609 1473921 1476420 1476485 "LODO" 1476490 NIL LODO (NIL T NIL) -8 NIL NIL) (-608 1472467 1472702 1473053 "LODOF" 1473668 NIL LODOF (NIL T T) -7 NIL NIL) (-607 1468887 1471323 1471363 "LODOCAT" 1471795 NIL LODOCAT (NIL T) -9 NIL 1472006) (-606 1468621 1468679 1468805 "LODOCAT-" 1468810 NIL LODOCAT- (NIL T T) -8 NIL NIL) (-605 1465935 1468462 1468580 "LODO2" 1468585 NIL LODO2 (NIL T T) -8 NIL NIL) (-604 1463364 1465872 1465917 "LODO1" 1465922 NIL LODO1 (NIL T) -8 NIL NIL) (-603 1462227 1462392 1462703 "LODEEF" 1463187 NIL LODEEF (NIL T T T) -7 NIL NIL) (-602 1457514 1460358 1460399 "LNAGG" 1461346 NIL LNAGG (NIL T) -9 NIL 1461790) (-601 1456661 1456875 1457217 "LNAGG-" 1457222 NIL LNAGG- (NIL T T) -8 NIL NIL) (-600 1452826 1453588 1454226 "LMOPS" 1456077 NIL LMOPS (NIL T T NIL) -8 NIL NIL) (-599 1452224 1452586 1452626 "LMODULE" 1452686 NIL LMODULE (NIL T) -9 NIL 1452728) (-598 1449470 1451869 1451992 "LMDICT" 1452134 NIL LMDICT (NIL T) -8 NIL NIL) (-597 1442697 1448416 1448714 "LIST" 1449205 NIL LIST (NIL T) -8 NIL NIL) (-596 1442222 1442296 1442435 "LIST3" 1442617 NIL LIST3 (NIL T T T) -7 NIL NIL) (-595 1441229 1441407 1441635 "LIST2" 1442040 NIL LIST2 (NIL T T) -7 NIL NIL) (-594 1439363 1439675 1440074 "LIST2MAP" 1440876 NIL LIST2MAP (NIL T T) -7 NIL NIL) (-593 1438076 1438756 1438796 "LINEXP" 1439049 NIL LINEXP (NIL T) -9 NIL 1439197) (-592 1436723 1436983 1437280 "LINDEP" 1437828 NIL LINDEP (NIL T T) -7 NIL NIL) (-591 1433490 1434209 1434986 "LIMITRF" 1435978 NIL LIMITRF (NIL T) -7 NIL NIL) (-590 1431770 1432065 1432480 "LIMITPS" 1433185 NIL LIMITPS (NIL T T) -7 NIL NIL) (-589 1426225 1431281 1431509 "LIE" 1431591 NIL LIE (NIL T T) -8 NIL NIL) (-588 1425276 1425719 1425759 "LIECAT" 1425899 NIL LIECAT (NIL T) -9 NIL 1426050) (-587 1425117 1425144 1425232 "LIECAT-" 1425237 NIL LIECAT- (NIL T T) -8 NIL NIL) (-586 1417729 1424566 1424731 "LIB" 1424972 T LIB (NIL) -8 NIL NIL) (-585 1413366 1414247 1415182 "LGROBP" 1416846 NIL LGROBP (NIL NIL T) -7 NIL NIL) (-584 1411232 1411506 1411868 "LF" 1413087 NIL LF (NIL T T) -7 NIL NIL) (-583 1410072 1410764 1410792 "LFCAT" 1410999 T LFCAT (NIL) -9 NIL 1411138) (-582 1406984 1407610 1408296 "LEXTRIPK" 1409438 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL) (-581 1403690 1404554 1405057 "LEXP" 1406564 NIL LEXP (NIL T T NIL) -8 NIL NIL) (-580 1402088 1402401 1402802 "LEADCDET" 1403372 NIL LEADCDET (NIL T T T T) -7 NIL NIL) (-579 1401281 1401355 1401583 "LAZM3PK" 1402009 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL) (-578 1396198 1399360 1399897 "LAUPOL" 1400794 NIL LAUPOL (NIL T T) -8 NIL NIL) (-577 1395765 1395809 1395976 "LAPLACE" 1396148 NIL LAPLACE (NIL T T) -7 NIL NIL) (-576 1393693 1394866 1395117 "LA" 1395598 NIL LA (NIL T T T) -8 NIL NIL) (-575 1392756 1393350 1393390 "LALG" 1393451 NIL LALG (NIL T) -9 NIL 1393509) (-574 1392471 1392530 1392665 "LALG-" 1392670 NIL LALG- (NIL T T) -8 NIL NIL) (-573 1391381 1391568 1391865 "KOVACIC" 1392271 NIL KOVACIC (NIL T T) -7 NIL NIL) (-572 1391216 1391240 1391281 "KONVERT" 1391343 NIL KONVERT (NIL T) -9 NIL NIL) (-571 1391051 1391075 1391116 "KOERCE" 1391178 NIL KOERCE (NIL T) -9 NIL NIL) (-570 1388785 1389545 1389938 "KERNEL" 1390690 NIL KERNEL (NIL T) -8 NIL NIL) (-569 1388287 1388368 1388498 "KERNEL2" 1388699 NIL KERNEL2 (NIL T T) -7 NIL NIL) (-568 1382139 1386827 1386881 "KDAGG" 1387258 NIL KDAGG (NIL T T) -9 NIL 1387464) (-567 1381668 1381792 1381997 "KDAGG-" 1382002 NIL KDAGG- (NIL T T T) -8 NIL NIL) (-566 1374843 1381329 1381484 "KAFILE" 1381546 NIL KAFILE (NIL T) -8 NIL NIL) (-565 1369298 1374354 1374582 "JORDAN" 1374664 NIL JORDAN (NIL T T) -8 NIL NIL) (-564 1369027 1369086 1369173 "JAVACODE" 1369231 T JAVACODE (NIL) -8 NIL NIL) (-563 1365327 1367233 1367287 "IXAGG" 1368216 NIL IXAGG (NIL T T) -9 NIL 1368675) (-562 1364246 1364552 1364971 "IXAGG-" 1364976 NIL IXAGG- (NIL T T T) -8 NIL NIL) (-561 1359831 1364168 1364227 "IVECTOR" 1364232 NIL IVECTOR (NIL T NIL) -8 NIL NIL) (-560 1358597 1358834 1359100 "ITUPLE" 1359598 NIL ITUPLE (NIL T) -8 NIL NIL) (-559 1357033 1357210 1357516 "ITRIGMNP" 1358419 NIL ITRIGMNP (NIL T T T) -7 NIL NIL) (-558 1355778 1355982 1356265 "ITFUN3" 1356809 NIL ITFUN3 (NIL T T T) -7 NIL NIL) (-557 1355410 1355467 1355576 "ITFUN2" 1355715 NIL ITFUN2 (NIL T T) -7 NIL NIL) (-556 1353212 1354283 1354580 "ITAYLOR" 1355145 NIL ITAYLOR (NIL T) -8 NIL NIL) (-555 1342200 1347398 1348557 "ISUPS" 1352085 NIL ISUPS (NIL T) -8 NIL NIL) (-554 1341304 1341444 1341680 "ISUMP" 1342047 NIL ISUMP (NIL T T T T) -7 NIL NIL) (-553 1336568 1341105 1341184 "ISTRING" 1341257 NIL ISTRING (NIL NIL) -8 NIL NIL) (-552 1335781 1335862 1336077 "IRURPK" 1336482 NIL IRURPK (NIL T T T T T) -7 NIL NIL) (-551 1334717 1334918 1335158 "IRSN" 1335561 T IRSN (NIL) -7 NIL NIL) (-550 1332752 1333107 1333542 "IRRF2F" 1334355 NIL IRRF2F (NIL T) -7 NIL NIL) (-549 1332499 1332537 1332613 "IRREDFFX" 1332708 NIL IRREDFFX (NIL T) -7 NIL NIL) (-548 1331114 1331373 1331672 "IROOT" 1332232 NIL IROOT (NIL T) -7 NIL NIL) (-547 1327752 1328803 1329493 "IR" 1330456 NIL IR (NIL T) -8 NIL NIL) (-546 1325365 1325860 1326426 "IR2" 1327230 NIL IR2 (NIL T T) -7 NIL NIL) (-545 1324441 1324554 1324774 "IR2F" 1325248 NIL IR2F (NIL T T) -7 NIL NIL) (-544 1324232 1324266 1324326 "IPRNTPK" 1324401 T IPRNTPK (NIL) -7 NIL NIL) (-543 1320786 1324121 1324190 "IPF" 1324195 NIL IPF (NIL NIL) -8 NIL NIL) (-542 1319103 1320711 1320768 "IPADIC" 1320773 NIL IPADIC (NIL NIL NIL) -8 NIL NIL) (-541 1318602 1318660 1318849 "INVLAPLA" 1319039 NIL INVLAPLA (NIL T T) -7 NIL NIL) (-540 1308251 1310604 1312990 "INTTR" 1316266 NIL INTTR (NIL T T) -7 NIL NIL) (-539 1304599 1305340 1306203 "INTTOOLS" 1307437 NIL INTTOOLS (NIL T T) -7 NIL NIL) (-538 1304185 1304276 1304393 "INTSLPE" 1304502 T INTSLPE (NIL) -7 NIL NIL) (-537 1302135 1304108 1304167 "INTRVL" 1304172 NIL INTRVL (NIL T) -8 NIL NIL) (-536 1299742 1300254 1300828 "INTRF" 1301620 NIL INTRF (NIL T) -7 NIL NIL) (-535 1299157 1299254 1299395 "INTRET" 1299640 NIL INTRET (NIL T) -7 NIL NIL) (-534 1297159 1297548 1298017 "INTRAT" 1298765 NIL INTRAT (NIL T T) -7 NIL NIL) (-533 1294392 1294975 1295600 "INTPM" 1296644 NIL INTPM (NIL T T) -7 NIL NIL) (-532 1291101 1291700 1292444 "INTPAF" 1293778 NIL INTPAF (NIL T T T) -7 NIL NIL) (-531 1286344 1287290 1288325 "INTPACK" 1290086 T INTPACK (NIL) -7 NIL NIL) (-530 1283198 1286073 1286200 "INT" 1286237 T INT (NIL) -8 NIL NIL) (-529 1282450 1282602 1282810 "INTHERTR" 1283040 NIL INTHERTR (NIL T T) -7 NIL NIL) (-528 1281889 1281969 1282157 "INTHERAL" 1282364 NIL INTHERAL (NIL T T T T) -7 NIL NIL) (-527 1279735 1280178 1280635 "INTHEORY" 1281452 T INTHEORY (NIL) -7 NIL NIL) (-526 1271057 1272678 1274456 "INTG0" 1278087 NIL INTG0 (NIL T T T) -7 NIL NIL) (-525 1251630 1256420 1261230 "INTFTBL" 1266267 T INTFTBL (NIL) -8 NIL NIL) (-524 1250879 1251017 1251190 "INTFACT" 1251489 NIL INTFACT (NIL T) -7 NIL NIL) (-523 1248270 1248716 1249279 "INTEF" 1250433 NIL INTEF (NIL T T) -7 NIL NIL) (-522 1246732 1247481 1247509 "INTDOM" 1247810 T INTDOM (NIL) -9 NIL 1248017) (-521 1246101 1246275 1246517 "INTDOM-" 1246522 NIL INTDOM- (NIL T) -8 NIL NIL) (-520 1242594 1244526 1244580 "INTCAT" 1245379 NIL INTCAT (NIL T) -9 NIL 1245698) (-519 1242067 1242169 1242297 "INTBIT" 1242486 T INTBIT (NIL) -7 NIL NIL) (-518 1240742 1240896 1241209 "INTALG" 1241912 NIL INTALG (NIL T T T T T) -7 NIL NIL) (-517 1240199 1240289 1240459 "INTAF" 1240646 NIL INTAF (NIL T T) -7 NIL NIL) (-516 1233653 1240009 1240149 "INTABL" 1240154 NIL INTABL (NIL T T T) -8 NIL NIL) (-515 1228604 1231333 1231361 "INS" 1232329 T INS (NIL) -9 NIL 1233010) (-514 1225844 1226615 1227589 "INS-" 1227662 NIL INS- (NIL T) -8 NIL NIL) (-513 1224623 1224850 1225147 "INPSIGN" 1225597 NIL INPSIGN (NIL T T) -7 NIL NIL) (-512 1223741 1223858 1224055 "INPRODPF" 1224503 NIL INPRODPF (NIL T T) -7 NIL NIL) (-511 1222635 1222752 1222989 "INPRODFF" 1223621 NIL INPRODFF (NIL T T T T) -7 NIL NIL) (-510 1221635 1221787 1222047 "INNMFACT" 1222471 NIL INNMFACT (NIL T T T T) -7 NIL NIL) (-509 1220832 1220929 1221117 "INMODGCD" 1221534 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL) (-508 1219341 1219585 1219909 "INFSP" 1220577 NIL INFSP (NIL T T T) -7 NIL NIL) (-507 1218525 1218642 1218825 "INFPROD0" 1219221 NIL INFPROD0 (NIL T T) -7 NIL NIL) (-506 1215536 1216694 1217185 "INFORM" 1218042 T INFORM (NIL) -8 NIL NIL) (-505 1215146 1215206 1215304 "INFORM1" 1215471 NIL INFORM1 (NIL T) -7 NIL NIL) (-504 1214669 1214758 1214872 "INFINITY" 1215052 T INFINITY (NIL) -7 NIL NIL) (-503 1213286 1213535 1213856 "INEP" 1214417 NIL INEP (NIL T T T) -7 NIL NIL) (-502 1212562 1213183 1213248 "INDE" 1213253 NIL INDE (NIL T) -8 NIL NIL) (-501 1212126 1212194 1212311 "INCRMAPS" 1212489 NIL INCRMAPS (NIL T) -7 NIL NIL) (-500 1207437 1208362 1209306 "INBFF" 1211214 NIL INBFF (NIL T) -7 NIL NIL) (-499 1203932 1207282 1207385 "IMATRIX" 1207390 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL) (-498 1202644 1202767 1203082 "IMATQF" 1203788 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL) (-497 1200864 1201091 1201428 "IMATLIN" 1202400 NIL IMATLIN (NIL T T T T) -7 NIL NIL) (-496 1195490 1200788 1200846 "ILIST" 1200851 NIL ILIST (NIL T NIL) -8 NIL NIL) (-495 1193443 1195350 1195463 "IIARRAY2" 1195468 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL) (-494 1188811 1193354 1193418 "IFF" 1193423 NIL IFF (NIL NIL NIL) -8 NIL NIL) (-493 1183854 1188103 1188291 "IFARRAY" 1188668 NIL IFARRAY (NIL T NIL) -8 NIL NIL) (-492 1183061 1183758 1183831 "IFAMON" 1183836 NIL IFAMON (NIL T T NIL) -8 NIL NIL) (-491 1182645 1182710 1182764 "IEVALAB" 1182971 NIL IEVALAB (NIL T T) -9 NIL NIL) (-490 1182320 1182388 1182548 "IEVALAB-" 1182553 NIL IEVALAB- (NIL T T T) -8 NIL NIL) (-489 1181978 1182234 1182297 "IDPO" 1182302 NIL IDPO (NIL T T) -8 NIL NIL) (-488 1181255 1181867 1181942 "IDPOAMS" 1181947 NIL IDPOAMS (NIL T T) -8 NIL NIL) (-487 1180589 1181144 1181219 "IDPOAM" 1181224 NIL IDPOAM (NIL T T) -8 NIL NIL) (-486 1179675 1179925 1179978 "IDPC" 1180391 NIL IDPC (NIL T T) -9 NIL 1180540) (-485 1179171 1179567 1179640 "IDPAM" 1179645 NIL IDPAM (NIL T T) -8 NIL NIL) (-484 1178574 1179063 1179136 "IDPAG" 1179141 NIL IDPAG (NIL T T) -8 NIL NIL) (-483 1174829 1175677 1176572 "IDECOMP" 1177731 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL) (-482 1167702 1168752 1169799 "IDEAL" 1173865 NIL IDEAL (NIL T T T T) -8 NIL NIL) (-481 1166866 1166978 1167177 "ICDEN" 1167586 NIL ICDEN (NIL T T T T) -7 NIL NIL) (-480 1165965 1166346 1166493 "ICARD" 1166739 T ICARD (NIL) -8 NIL NIL) (-479 1164037 1164350 1164753 "IBPTOOLS" 1165642 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL) (-478 1159671 1163657 1163770 "IBITS" 1163956 NIL IBITS (NIL NIL) -8 NIL NIL) (-477 1156394 1156970 1157665 "IBATOOL" 1159088 NIL IBATOOL (NIL T T T) -7 NIL NIL) (-476 1154174 1154635 1155168 "IBACHIN" 1155929 NIL IBACHIN (NIL T T T) -7 NIL NIL) (-475 1152051 1154020 1154123 "IARRAY2" 1154128 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL) (-474 1148204 1151977 1152034 "IARRAY1" 1152039 NIL IARRAY1 (NIL T NIL) -8 NIL NIL) (-473 1142142 1146622 1147100 "IAN" 1147746 T IAN (NIL) -8 NIL NIL) (-472 1141653 1141710 1141883 "IALGFACT" 1142079 NIL IALGFACT (NIL T T T T) -7 NIL NIL) (-471 1141181 1141294 1141322 "HYPCAT" 1141529 T HYPCAT (NIL) -9 NIL NIL) (-470 1140719 1140836 1141022 "HYPCAT-" 1141027 NIL HYPCAT- (NIL T) -8 NIL NIL) (-469 1140341 1140514 1140597 "HOSTNAME" 1140656 T HOSTNAME (NIL) -8 NIL NIL) (-468 1137021 1138352 1138393 "HOAGG" 1139374 NIL HOAGG (NIL T) -9 NIL 1140053) (-467 1135615 1136014 1136540 "HOAGG-" 1136545 NIL HOAGG- (NIL T T) -8 NIL NIL) (-466 1129445 1135056 1135222 "HEXADEC" 1135469 T HEXADEC (NIL) -8 NIL NIL) (-465 1128193 1128415 1128678 "HEUGCD" 1129222 NIL HEUGCD (NIL T) -7 NIL NIL) (-464 1127296 1128030 1128160 "HELLFDIV" 1128165 NIL HELLFDIV (NIL T T T T) -8 NIL NIL) (-463 1125524 1127073 1127161 "HEAP" 1127240 NIL HEAP (NIL T) -8 NIL NIL) (-462 1124863 1125103 1125231 "HEADAST" 1125416 T HEADAST (NIL) -8 NIL NIL) (-461 1118730 1124778 1124840 "HDP" 1124845 NIL HDP (NIL NIL T) -8 NIL NIL) (-460 1112442 1118367 1118518 "HDMP" 1118631 NIL HDMP (NIL NIL T) -8 NIL NIL) (-459 1111767 1111906 1112070 "HB" 1112298 T HB (NIL) -7 NIL NIL) (-458 1105264 1111613 1111717 "HASHTBL" 1111722 NIL HASHTBL (NIL T T NIL) -8 NIL NIL) (-457 1103017 1104892 1105071 "HACKPI" 1105105 T HACKPI (NIL) -8 NIL NIL) (-456 1098713 1102871 1102983 "GTSET" 1102988 NIL GTSET (NIL T T T T) -8 NIL NIL) (-455 1092239 1098591 1098689 "GSTBL" 1098694 NIL GSTBL (NIL T T T NIL) -8 NIL NIL) (-454 1084472 1091275 1091539 "GSERIES" 1092030 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL) (-453 1083495 1083948 1083976 "GROUP" 1084237 T GROUP (NIL) -9 NIL 1084396) (-452 1082611 1082834 1083178 "GROUP-" 1083183 NIL GROUP- (NIL T) -8 NIL NIL) (-451 1080980 1081299 1081686 "GROEBSOL" 1082288 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL) (-450 1079921 1080183 1080234 "GRMOD" 1080763 NIL GRMOD (NIL T T) -9 NIL 1080931) (-449 1079689 1079725 1079853 "GRMOD-" 1079858 NIL GRMOD- (NIL T T T) -8 NIL NIL) (-448 1075014 1076043 1077043 "GRIMAGE" 1078709 T GRIMAGE (NIL) -8 NIL NIL) (-447 1073481 1073741 1074065 "GRDEF" 1074710 T GRDEF (NIL) -7 NIL NIL) (-446 1072925 1073041 1073182 "GRAY" 1073360 T GRAY (NIL) -7 NIL NIL) (-445 1072159 1072539 1072590 "GRALG" 1072743 NIL GRALG (NIL T T) -9 NIL 1072835) (-444 1071820 1071893 1072056 "GRALG-" 1072061 NIL GRALG- (NIL T T T) -8 NIL NIL) (-443 1068628 1071409 1071585 "GPOLSET" 1071727 NIL GPOLSET (NIL T T T T) -8 NIL NIL) (-442 1067984 1068041 1068298 "GOSPER" 1068565 NIL GOSPER (NIL T T T T T) -7 NIL NIL) (-441 1063743 1064422 1064948 "GMODPOL" 1067683 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL) (-440 1062748 1062932 1063170 "GHENSEL" 1063555 NIL GHENSEL (NIL T T) -7 NIL NIL) (-439 1056814 1057657 1058683 "GENUPS" 1061832 NIL GENUPS (NIL T T) -7 NIL NIL) (-438 1056511 1056562 1056651 "GENUFACT" 1056757 NIL GENUFACT (NIL T) -7 NIL NIL) (-437 1055923 1056000 1056165 "GENPGCD" 1056429 NIL GENPGCD (NIL T T T T) -7 NIL NIL) (-436 1055397 1055432 1055645 "GENMFACT" 1055882 NIL GENMFACT (NIL T T T T T) -7 NIL NIL) (-435 1053965 1054220 1054527 "GENEEZ" 1055140 NIL GENEEZ (NIL T T) -7 NIL NIL) (-434 1047839 1053578 1053739 "GDMP" 1053888 NIL GDMP (NIL NIL T T) -8 NIL NIL) (-433 1037216 1041610 1042716 "GCNAALG" 1046822 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL) (-432 1035638 1036510 1036538 "GCDDOM" 1036793 T GCDDOM (NIL) -9 NIL 1036950) (-431 1035108 1035235 1035450 "GCDDOM-" 1035455 NIL GCDDOM- (NIL T) -8 NIL NIL) (-430 1033780 1033965 1034269 "GB" 1034887 NIL GB (NIL T T T T) -7 NIL NIL) (-429 1022400 1024726 1027118 "GBINTERN" 1031471 NIL GBINTERN (NIL T T T T) -7 NIL NIL) (-428 1020237 1020529 1020950 "GBF" 1022075 NIL GBF (NIL T T T T) -7 NIL NIL) (-427 1019018 1019183 1019450 "GBEUCLID" 1020053 NIL GBEUCLID (NIL T T T T) -7 NIL NIL) (-426 1018367 1018492 1018641 "GAUSSFAC" 1018889 T GAUSSFAC (NIL) -7 NIL NIL) (-425 1016744 1017046 1017359 "GALUTIL" 1018086 NIL GALUTIL (NIL T) -7 NIL NIL) (-424 1015061 1015335 1015658 "GALPOLYU" 1016471 NIL GALPOLYU (NIL T T) -7 NIL NIL) (-423 1012450 1012740 1013145 "GALFACTU" 1014758 NIL GALFACTU (NIL T T T) -7 NIL NIL) (-422 1004256 1005755 1007363 "GALFACT" 1010882 NIL GALFACT (NIL T) -7 NIL NIL) (-421 1001644 1002302 1002330 "FVFUN" 1003486 T FVFUN (NIL) -9 NIL 1004206) (-420 1000910 1001092 1001120 "FVC" 1001411 T FVC (NIL) -9 NIL 1001594) (-419 1000552 1000707 1000788 "FUNCTION" 1000862 NIL FUNCTION (NIL NIL) -8 NIL NIL) (-418 998222 998773 999262 "FT" 1000083 T FT (NIL) -8 NIL NIL) (-417 997040 997523 997726 "FTEM" 998039 T FTEM (NIL) -8 NIL NIL) (-416 995305 995593 995995 "FSUPFACT" 996732 NIL FSUPFACT (NIL T T T) -7 NIL NIL) (-415 993702 993991 994323 "FST" 994993 T FST (NIL) -8 NIL NIL) (-414 992877 992983 993177 "FSRED" 993584 NIL FSRED (NIL T T) -7 NIL NIL) (-413 991556 991811 992165 "FSPRMELT" 992592 NIL FSPRMELT (NIL T T) -7 NIL NIL) (-412 988641 989079 989578 "FSPECF" 991119 NIL FSPECF (NIL T T) -7 NIL NIL) (-411 971015 979572 979612 "FS" 983450 NIL FS (NIL T) -9 NIL 985732) (-410 959665 962655 966711 "FS-" 967008 NIL FS- (NIL T T) -8 NIL NIL) (-409 959181 959235 959411 "FSINT" 959606 NIL FSINT (NIL T T) -7 NIL NIL) (-408 957462 958174 958477 "FSERIES" 958960 NIL FSERIES (NIL T T) -8 NIL NIL) (-407 956480 956596 956826 "FSCINT" 957342 NIL FSCINT (NIL T T) -7 NIL NIL) (-406 952715 955425 955466 "FSAGG" 955836 NIL FSAGG (NIL T) -9 NIL 956095) (-405 950477 951078 951874 "FSAGG-" 951969 NIL FSAGG- (NIL T T) -8 NIL NIL) (-404 949519 949662 949889 "FSAGG2" 950330 NIL FSAGG2 (NIL T T T T) -7 NIL NIL) (-403 947178 947457 948010 "FS2UPS" 949237 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL) (-402 946764 946807 946960 "FS2" 947129 NIL FS2 (NIL T T T T) -7 NIL NIL) (-401 945624 945795 946103 "FS2EXPXP" 946589 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL) (-400 945050 945165 945317 "FRUTIL" 945504 NIL FRUTIL (NIL T) -7 NIL NIL) (-399 936470 940549 941905 "FR" 943726 NIL FR (NIL T) -8 NIL NIL) (-398 931547 934190 934230 "FRNAALG" 935626 NIL FRNAALG (NIL T) -9 NIL 936233) (-397 927225 928296 929571 "FRNAALG-" 930321 NIL FRNAALG- (NIL T T) -8 NIL NIL) (-396 926863 926906 927033 "FRNAAF2" 927176 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL) (-395 925228 925720 926014 "FRMOD" 926676 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL) (-394 922950 923619 923935 "FRIDEAL" 925019 NIL FRIDEAL (NIL T T T T) -8 NIL NIL) (-393 922149 922236 922523 "FRIDEAL2" 922857 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL) (-392 921407 921815 921856 "FRETRCT" 921861 NIL FRETRCT (NIL T) -9 NIL 922032) (-391 920519 920750 921101 "FRETRCT-" 921106 NIL FRETRCT- (NIL T T) -8 NIL NIL) (-390 917729 918949 919008 "FRAMALG" 919890 NIL FRAMALG (NIL T T) -9 NIL 920182) (-389 915863 916318 916948 "FRAMALG-" 917171 NIL FRAMALG- (NIL T T T) -8 NIL NIL) (-388 909765 915338 915614 "FRAC" 915619 NIL FRAC (NIL T) -8 NIL NIL) (-387 909401 909458 909565 "FRAC2" 909702 NIL FRAC2 (NIL T T) -7 NIL NIL) (-386 909037 909094 909201 "FR2" 909338 NIL FR2 (NIL T T) -7 NIL NIL) (-385 903711 906624 906652 "FPS" 907771 T FPS (NIL) -9 NIL 908327) (-384 903160 903269 903433 "FPS-" 903579 NIL FPS- (NIL T) -8 NIL NIL) (-383 900609 902306 902334 "FPC" 902559 T FPC (NIL) -9 NIL 902701) (-382 900402 900442 900539 "FPC-" 900544 NIL FPC- (NIL T) -8 NIL NIL) (-381 899281 899891 899932 "FPATMAB" 899937 NIL FPATMAB (NIL T) -9 NIL 900089) (-380 896981 897457 897883 "FPARFRAC" 898918 NIL FPARFRAC (NIL T T) -8 NIL NIL) (-379 892374 892873 893555 "FORTRAN" 896413 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL) (-378 890090 890590 891129 "FORT" 891855 T FORT (NIL) -7 NIL NIL) (-377 887766 888328 888356 "FORTFN" 889416 T FORTFN (NIL) -9 NIL 890040) (-376 887530 887580 887608 "FORTCAT" 887667 T FORTCAT (NIL) -9 NIL 887729) (-375 885590 886073 886472 "FORMULA" 887151 T FORMULA (NIL) -8 NIL NIL) (-374 885378 885408 885477 "FORMULA1" 885554 NIL FORMULA1 (NIL T) -7 NIL NIL) (-373 884901 884953 885126 "FORDER" 885320 NIL FORDER (NIL T T T T) -7 NIL NIL) (-372 883997 884161 884354 "FOP" 884728 T FOP (NIL) -7 NIL NIL) (-371 882605 883277 883451 "FNLA" 883879 NIL FNLA (NIL NIL NIL T) -8 NIL NIL) (-370 881274 881663 881691 "FNCAT" 882263 T FNCAT (NIL) -9 NIL 882556) (-369 880840 881233 881261 "FNAME" 881266 T FNAME (NIL) -8 NIL NIL) (-368 879500 880473 880501 "FMTC" 880506 T FMTC (NIL) -9 NIL 880541) (-367 875818 877025 877653 "FMONOID" 878905 NIL FMONOID (NIL T) -8 NIL NIL) (-366 875038 875561 875709 "FM" 875714 NIL FM (NIL T T) -8 NIL NIL) (-365 872462 873108 873136 "FMFUN" 874280 T FMFUN (NIL) -9 NIL 874988) (-364 871731 871912 871940 "FMC" 872230 T FMC (NIL) -9 NIL 872412) (-363 868961 869795 869848 "FMCAT" 871030 NIL FMCAT (NIL T T) -9 NIL 871524) (-362 867856 868729 868828 "FM1" 868906 NIL FM1 (NIL T T) -8 NIL NIL) (-361 865630 866046 866540 "FLOATRP" 867407 NIL FLOATRP (NIL T) -7 NIL NIL) (-360 859116 863286 863916 "FLOAT" 865020 T FLOAT (NIL) -8 NIL NIL) (-359 856554 857054 857632 "FLOATCP" 858583 NIL FLOATCP (NIL T) -7 NIL NIL) (-358 855343 856191 856231 "FLINEXP" 856236 NIL FLINEXP (NIL T) -9 NIL 856329) (-357 854498 854733 855060 "FLINEXP-" 855065 NIL FLINEXP- (NIL T T) -8 NIL NIL) (-356 853574 853718 853942 "FLASORT" 854350 NIL FLASORT (NIL T T) -7 NIL NIL) (-355 850793 851635 851687 "FLALG" 852914 NIL FLALG (NIL T T) -9 NIL 853381) (-354 844578 848280 848321 "FLAGG" 849583 NIL FLAGG (NIL T) -9 NIL 850235) (-353 843304 843643 844133 "FLAGG-" 844138 NIL FLAGG- (NIL T T) -8 NIL NIL) (-352 842346 842489 842716 "FLAGG2" 843157 NIL FLAGG2 (NIL T T T T) -7 NIL NIL) (-351 839319 840337 840396 "FINRALG" 841524 NIL FINRALG (NIL T T) -9 NIL 842032) (-350 838479 838708 839047 "FINRALG-" 839052 NIL FINRALG- (NIL T T T) -8 NIL NIL) (-349 837886 838099 838127 "FINITE" 838323 T FINITE (NIL) -9 NIL 838430) (-348 830346 832507 832547 "FINAALG" 836214 NIL FINAALG (NIL T) -9 NIL 837667) (-347 825687 826728 827872 "FINAALG-" 829251 NIL FINAALG- (NIL T T) -8 NIL NIL) (-346 825082 825442 825545 "FILE" 825617 NIL FILE (NIL T) -8 NIL NIL) (-345 823767 824079 824133 "FILECAT" 824817 NIL FILECAT (NIL T T) -9 NIL 825033) (-344 821630 823186 823214 "FIELD" 823254 T FIELD (NIL) -9 NIL 823334) (-343 820250 820635 821146 "FIELD-" 821151 NIL FIELD- (NIL T) -8 NIL NIL) (-342 818065 818887 819233 "FGROUP" 819937 NIL FGROUP (NIL T) -8 NIL NIL) (-341 817155 817319 817539 "FGLMICPK" 817897 NIL FGLMICPK (NIL T NIL) -7 NIL NIL) (-340 812957 817080 817137 "FFX" 817142 NIL FFX (NIL T NIL) -8 NIL NIL) (-339 812558 812619 812754 "FFSLPE" 812890 NIL FFSLPE (NIL T T T) -7 NIL NIL) (-338 808551 809330 810126 "FFPOLY" 811794 NIL FFPOLY (NIL T) -7 NIL NIL) (-337 808055 808091 808300 "FFPOLY2" 808509 NIL FFPOLY2 (NIL T T) -7 NIL NIL) (-336 803876 807974 808037 "FFP" 808042 NIL FFP (NIL T NIL) -8 NIL NIL) (-335 799244 803787 803851 "FF" 803856 NIL FF (NIL NIL NIL) -8 NIL NIL) (-334 794340 798587 798777 "FFNBX" 799098 NIL FFNBX (NIL T NIL) -8 NIL NIL) (-333 789249 793475 793733 "FFNBP" 794194 NIL FFNBP (NIL T NIL) -8 NIL NIL) (-332 783852 788533 788744 "FFNB" 789082 NIL FFNB (NIL NIL NIL) -8 NIL NIL) (-331 782684 782882 783197 "FFINTBAS" 783649 NIL FFINTBAS (NIL T T T) -7 NIL NIL) (-330 778908 781148 781176 "FFIELDC" 781796 T FFIELDC (NIL) -9 NIL 782172) (-329 777571 777941 778438 "FFIELDC-" 778443 NIL FFIELDC- (NIL T) -8 NIL NIL) (-328 777141 777186 777310 "FFHOM" 777513 NIL FFHOM (NIL T T T) -7 NIL NIL) (-327 774839 775323 775840 "FFF" 776656 NIL FFF (NIL T) -7 NIL NIL) (-326 770427 774581 774682 "FFCGX" 774782 NIL FFCGX (NIL T NIL) -8 NIL NIL) (-325 766029 770159 770266 "FFCGP" 770370 NIL FFCGP (NIL T NIL) -8 NIL NIL) (-324 761182 765756 765864 "FFCG" 765965 NIL FFCG (NIL NIL NIL) -8 NIL NIL) (-323 743128 752251 752337 "FFCAT" 757502 NIL FFCAT (NIL T T T) -9 NIL 758989) (-322 738326 739373 740687 "FFCAT-" 741917 NIL FFCAT- (NIL T T T T) -8 NIL NIL) (-321 737737 737780 738015 "FFCAT2" 738277 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-320 726937 730727 731944 "FEXPR" 736592 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL) (-319 725937 726372 726413 "FEVALAB" 726497 NIL FEVALAB (NIL T) -9 NIL 726758) (-318 725096 725306 725644 "FEVALAB-" 725649 NIL FEVALAB- (NIL T T) -8 NIL NIL) (-317 723689 724479 724682 "FDIV" 724995 NIL FDIV (NIL T T T T) -8 NIL NIL) (-316 720756 721471 721586 "FDIVCAT" 723154 NIL FDIVCAT (NIL T T T T) -9 NIL 723591) (-315 720518 720545 720715 "FDIVCAT-" 720720 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL) (-314 719738 719825 720102 "FDIV2" 720425 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL) (-313 718424 718683 718972 "FCPAK1" 719469 T FCPAK1 (NIL) -7 NIL NIL) (-312 717552 717924 718065 "FCOMP" 718315 NIL FCOMP (NIL T) -8 NIL NIL) (-311 701187 704601 708162 "FC" 714011 T FC (NIL) -8 NIL NIL) (-310 693783 697829 697869 "FAXF" 699671 NIL FAXF (NIL T) -9 NIL 700362) (-309 691062 691717 692542 "FAXF-" 693007 NIL FAXF- (NIL T T) -8 NIL NIL) (-308 686162 690438 690614 "FARRAY" 690919 NIL FARRAY (NIL T) -8 NIL NIL) (-307 681553 683624 683676 "FAMR" 684688 NIL FAMR (NIL T T) -9 NIL 685148) (-306 680444 680746 681180 "FAMR-" 681185 NIL FAMR- (NIL T T T) -8 NIL NIL) (-305 679640 680366 680419 "FAMONOID" 680424 NIL FAMONOID (NIL T) -8 NIL NIL) (-304 677473 678157 678210 "FAMONC" 679151 NIL FAMONC (NIL T T) -9 NIL 679536) (-303 676165 677227 677364 "FAGROUP" 677369 NIL FAGROUP (NIL T) -8 NIL NIL) (-302 673968 674287 674689 "FACUTIL" 675846 NIL FACUTIL (NIL T T T T) -7 NIL NIL) (-301 673067 673252 673474 "FACTFUNC" 673778 NIL FACTFUNC (NIL T) -7 NIL NIL) (-300 665387 672318 672530 "EXPUPXS" 672923 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL) (-299 662870 663410 663996 "EXPRTUBE" 664821 T EXPRTUBE (NIL) -7 NIL NIL) (-298 659064 659656 660393 "EXPRODE" 662209 NIL EXPRODE (NIL T T) -7 NIL NIL) (-297 644223 657723 658149 "EXPR" 658670 NIL EXPR (NIL T) -8 NIL NIL) (-296 638651 639238 640050 "EXPR2UPS" 643521 NIL EXPR2UPS (NIL T T) -7 NIL NIL) (-295 638287 638344 638451 "EXPR2" 638588 NIL EXPR2 (NIL T T) -7 NIL NIL) (-294 629641 637424 637719 "EXPEXPAN" 638125 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL) (-293 629468 629598 629627 "EXIT" 629632 T EXIT (NIL) -8 NIL NIL) (-292 629095 629157 629270 "EVALCYC" 629400 NIL EVALCYC (NIL T) -7 NIL NIL) (-291 628636 628754 628795 "EVALAB" 628965 NIL EVALAB (NIL T) -9 NIL 629069) (-290 628117 628239 628460 "EVALAB-" 628465 NIL EVALAB- (NIL T T) -8 NIL NIL) (-289 625580 626892 626920 "EUCDOM" 627475 T EUCDOM (NIL) -9 NIL 627825) (-288 623985 624427 625017 "EUCDOM-" 625022 NIL EUCDOM- (NIL T) -8 NIL NIL) (-287 611563 614311 617051 "ESTOOLS" 621265 T ESTOOLS (NIL) -7 NIL NIL) (-286 611199 611256 611363 "ESTOOLS2" 611500 NIL ESTOOLS2 (NIL T T) -7 NIL NIL) (-285 610950 610992 611072 "ESTOOLS1" 611151 NIL ESTOOLS1 (NIL T) -7 NIL NIL) (-284 604888 606612 606640 "ES" 609404 T ES (NIL) -9 NIL 610810) (-283 599835 601122 602939 "ES-" 603103 NIL ES- (NIL T) -8 NIL NIL) (-282 596210 596970 597750 "ESCONT" 599075 T ESCONT (NIL) -7 NIL NIL) (-281 595955 595987 596069 "ESCONT1" 596172 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL) (-280 595630 595680 595780 "ES2" 595899 NIL ES2 (NIL T T) -7 NIL NIL) (-279 595260 595318 595427 "ES1" 595566 NIL ES1 (NIL T T) -7 NIL NIL) (-278 594476 594605 594781 "ERROR" 595104 T ERROR (NIL) -7 NIL NIL) (-277 587979 594335 594426 "EQTBL" 594431 NIL EQTBL (NIL T T) -8 NIL NIL) (-276 580416 583297 584744 "EQ" 586565 NIL -3784 (NIL T) -8 NIL NIL) (-275 580048 580105 580214 "EQ2" 580353 NIL EQ2 (NIL T T) -7 NIL NIL) (-274 575340 576386 577479 "EP" 578987 NIL EP (NIL T) -7 NIL NIL) (-273 573922 574223 574540 "ENV" 575043 T ENV (NIL) -8 NIL NIL) (-272 573082 573646 573674 "ENTIRER" 573679 T ENTIRER (NIL) -9 NIL 573724) (-271 569538 571037 571407 "EMR" 572881 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL) (-270 568682 568867 568921 "ELTAGG" 569301 NIL ELTAGG (NIL T T) -9 NIL 569512) (-269 568401 568463 568604 "ELTAGG-" 568609 NIL ELTAGG- (NIL T T T) -8 NIL NIL) (-268 568190 568219 568273 "ELTAB" 568357 NIL ELTAB (NIL T T) -9 NIL NIL) (-267 567316 567462 567661 "ELFUTS" 568041 NIL ELFUTS (NIL T T) -7 NIL NIL) (-266 567058 567114 567142 "ELEMFUN" 567247 T ELEMFUN (NIL) -9 NIL NIL) (-265 566928 566949 567017 "ELEMFUN-" 567022 NIL ELEMFUN- (NIL T) -8 NIL NIL) (-264 561820 565029 565070 "ELAGG" 566010 NIL ELAGG (NIL T) -9 NIL 566473) (-263 560105 560539 561202 "ELAGG-" 561207 NIL ELAGG- (NIL T T) -8 NIL NIL) (-262 558762 559042 559337 "ELABEXPR" 559830 T ELABEXPR (NIL) -8 NIL NIL) (-261 551628 553429 554256 "EFUPXS" 558038 NIL EFUPXS (NIL T T T T) -8 NIL NIL) (-260 545078 546879 547689 "EFULS" 550904 NIL EFULS (NIL T T T) -8 NIL NIL) (-259 542509 542867 543345 "EFSTRUC" 544710 NIL EFSTRUC (NIL T T) -7 NIL NIL) (-258 531581 533146 534706 "EF" 541024 NIL EF (NIL T T) -7 NIL NIL) (-257 530682 531066 531215 "EAB" 531452 T EAB (NIL) -8 NIL NIL) (-256 529895 530641 530669 "E04UCFA" 530674 T E04UCFA (NIL) -8 NIL NIL) (-255 529108 529854 529882 "E04NAFA" 529887 T E04NAFA (NIL) -8 NIL NIL) (-254 528321 529067 529095 "E04MBFA" 529100 T E04MBFA (NIL) -8 NIL NIL) (-253 527534 528280 528308 "E04JAFA" 528313 T E04JAFA (NIL) -8 NIL NIL) (-252 526749 527493 527521 "E04GCFA" 527526 T E04GCFA (NIL) -8 NIL NIL) (-251 525964 526708 526736 "E04FDFA" 526741 T E04FDFA (NIL) -8 NIL NIL) (-250 525177 525923 525951 "E04DGFA" 525956 T E04DGFA (NIL) -8 NIL NIL) (-249 519362 520707 522069 "E04AGNT" 523835 T E04AGNT (NIL) -7 NIL NIL) (-248 518089 518569 518609 "DVARCAT" 519084 NIL DVARCAT (NIL T) -9 NIL 519282) (-247 517293 517505 517819 "DVARCAT-" 517824 NIL DVARCAT- (NIL T T) -8 NIL NIL) (-246 510155 517095 517222 "DSMP" 517227 NIL DSMP (NIL T T T) -8 NIL NIL) (-245 504965 506100 507168 "DROPT" 509107 T DROPT (NIL) -8 NIL NIL) (-244 504630 504689 504787 "DROPT1" 504900 NIL DROPT1 (NIL T) -7 NIL NIL) (-243 499745 500871 502008 "DROPT0" 503513 T DROPT0 (NIL) -7 NIL NIL) (-242 498090 498415 498801 "DRAWPT" 499379 T DRAWPT (NIL) -7 NIL NIL) (-241 492677 493600 494679 "DRAW" 497064 NIL DRAW (NIL T) -7 NIL NIL) (-240 492310 492363 492481 "DRAWHACK" 492618 NIL DRAWHACK (NIL T) -7 NIL NIL) (-239 491041 491310 491601 "DRAWCX" 492039 T DRAWCX (NIL) -7 NIL NIL) (-238 490559 490627 490777 "DRAWCURV" 490967 NIL DRAWCURV (NIL T T) -7 NIL NIL) (-237 481030 482989 485104 "DRAWCFUN" 488464 T DRAWCFUN (NIL) -7 NIL NIL) (-236 477844 479726 479767 "DQAGG" 480396 NIL DQAGG (NIL T) -9 NIL 480669) (-235 466351 473089 473171 "DPOLCAT" 475009 NIL DPOLCAT (NIL T T T T) -9 NIL 475553) (-234 461191 462537 464494 "DPOLCAT-" 464499 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL) (-233 453987 461053 461150 "DPMO" 461155 NIL DPMO (NIL NIL T T) -8 NIL NIL) (-232 446686 453768 453934 "DPMM" 453939 NIL DPMM (NIL NIL T T T) -8 NIL NIL) (-231 446106 446309 446423 "DOMAIN" 446592 T DOMAIN (NIL) -8 NIL NIL) (-230 439818 445743 445894 "DMP" 446007 NIL DMP (NIL NIL T) -8 NIL NIL) (-229 439418 439474 439618 "DLP" 439756 NIL DLP (NIL T) -7 NIL NIL) (-228 433062 438519 438746 "DLIST" 439223 NIL DLIST (NIL T) -8 NIL NIL) (-227 429909 431918 431959 "DLAGG" 432509 NIL DLAGG (NIL T) -9 NIL 432738) (-226 428619 429311 429339 "DIVRING" 429489 T DIVRING (NIL) -9 NIL 429597) (-225 427607 427860 428253 "DIVRING-" 428258 NIL DIVRING- (NIL T) -8 NIL NIL) (-224 425709 426066 426472 "DISPLAY" 427221 T DISPLAY (NIL) -7 NIL NIL) (-223 419598 425623 425686 "DIRPROD" 425691 NIL DIRPROD (NIL NIL T) -8 NIL NIL) (-222 418446 418649 418914 "DIRPROD2" 419391 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL) (-221 407965 413970 414023 "DIRPCAT" 414431 NIL DIRPCAT (NIL NIL T) -9 NIL 415270) (-220 405291 405933 406814 "DIRPCAT-" 407151 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL) (-219 404578 404738 404924 "DIOSP" 405125 T DIOSP (NIL) -7 NIL NIL) (-218 401281 403491 403532 "DIOPS" 403966 NIL DIOPS (NIL T) -9 NIL 404195) (-217 400830 400944 401135 "DIOPS-" 401140 NIL DIOPS- (NIL T T) -8 NIL NIL) (-216 399702 400340 400368 "DIFRING" 400555 T DIFRING (NIL) -9 NIL 400664) (-215 399348 399425 399577 "DIFRING-" 399582 NIL DIFRING- (NIL T) -8 NIL NIL) (-214 397138 398420 398460 "DIFEXT" 398819 NIL DIFEXT (NIL T) -9 NIL 399112) (-213 395424 395852 396517 "DIFEXT-" 396522 NIL DIFEXT- (NIL T T) -8 NIL NIL) (-212 392747 394957 394998 "DIAGG" 395003 NIL DIAGG (NIL T) -9 NIL 395023) (-211 392131 392288 392540 "DIAGG-" 392545 NIL DIAGG- (NIL T T) -8 NIL NIL) (-210 387596 391090 391367 "DHMATRIX" 391900 NIL DHMATRIX (NIL T) -8 NIL NIL) (-209 383208 384117 385127 "DFSFUN" 386606 T DFSFUN (NIL) -7 NIL NIL) (-208 377994 381922 382287 "DFLOAT" 382863 T DFLOAT (NIL) -8 NIL NIL) (-207 376227 376508 376903 "DFINTTLS" 377702 NIL DFINTTLS (NIL T T) -7 NIL NIL) (-206 373260 374262 374660 "DERHAM" 375894 NIL DERHAM (NIL T NIL) -8 NIL NIL) (-205 371109 373035 373124 "DEQUEUE" 373204 NIL DEQUEUE (NIL T) -8 NIL NIL) (-204 370327 370460 370655 "DEGRED" 370971 NIL DEGRED (NIL T T) -7 NIL NIL) (-203 366727 367472 368324 "DEFINTRF" 369555 NIL DEFINTRF (NIL T) -7 NIL NIL) (-202 364258 364727 365325 "DEFINTEF" 366246 NIL DEFINTEF (NIL T T) -7 NIL NIL) (-201 358088 363699 363865 "DECIMAL" 364112 T DECIMAL (NIL) -8 NIL NIL) (-200 355600 356058 356564 "DDFACT" 357632 NIL DDFACT (NIL T T) -7 NIL NIL) (-199 355196 355239 355390 "DBLRESP" 355551 NIL DBLRESP (NIL T T T T) -7 NIL NIL) (-198 352906 353240 353609 "DBASE" 354954 NIL DBASE (NIL T) -8 NIL NIL) (-197 352175 352386 352532 "DATABUF" 352805 NIL DATABUF (NIL NIL T) -8 NIL NIL) (-196 351310 352134 352162 "D03FAFA" 352167 T D03FAFA (NIL) -8 NIL NIL) (-195 350446 351269 351297 "D03EEFA" 351302 T D03EEFA (NIL) -8 NIL NIL) (-194 348396 348862 349351 "D03AGNT" 349977 T D03AGNT (NIL) -7 NIL NIL) (-193 347714 348355 348383 "D02EJFA" 348388 T D02EJFA (NIL) -8 NIL NIL) (-192 347032 347673 347701 "D02CJFA" 347706 T D02CJFA (NIL) -8 NIL NIL) (-191 346350 346991 347019 "D02BHFA" 347024 T D02BHFA (NIL) -8 NIL NIL) (-190 345668 346309 346337 "D02BBFA" 346342 T D02BBFA (NIL) -8 NIL NIL) (-189 338866 340454 342060 "D02AGNT" 344082 T D02AGNT (NIL) -7 NIL NIL) (-188 336635 337157 337703 "D01WGTS" 338340 T D01WGTS (NIL) -7 NIL NIL) (-187 335738 336594 336622 "D01TRNS" 336627 T D01TRNS (NIL) -8 NIL NIL) (-186 334841 335697 335725 "D01GBFA" 335730 T D01GBFA (NIL) -8 NIL NIL) (-185 333944 334800 334828 "D01FCFA" 334833 T D01FCFA (NIL) -8 NIL NIL) (-184 333047 333903 333931 "D01ASFA" 333936 T D01ASFA (NIL) -8 NIL NIL) (-183 332150 333006 333034 "D01AQFA" 333039 T D01AQFA (NIL) -8 NIL NIL) (-182 331253 332109 332137 "D01APFA" 332142 T D01APFA (NIL) -8 NIL NIL) (-181 330356 331212 331240 "D01ANFA" 331245 T D01ANFA (NIL) -8 NIL NIL) (-180 329459 330315 330343 "D01AMFA" 330348 T D01AMFA (NIL) -8 NIL NIL) (-179 328562 329418 329446 "D01ALFA" 329451 T D01ALFA (NIL) -8 NIL NIL) (-178 327665 328521 328549 "D01AKFA" 328554 T D01AKFA (NIL) -8 NIL NIL) (-177 326768 327624 327652 "D01AJFA" 327657 T D01AJFA (NIL) -8 NIL NIL) (-176 320072 321621 323180 "D01AGNT" 325229 T D01AGNT (NIL) -7 NIL NIL) (-175 319409 319537 319689 "CYCLOTOM" 319940 T CYCLOTOM (NIL) -7 NIL NIL) (-174 316144 316857 317584 "CYCLES" 318702 T CYCLES (NIL) -7 NIL NIL) (-173 315456 315590 315761 "CVMP" 316005 NIL CVMP (NIL T) -7 NIL NIL) (-172 313237 313495 313870 "CTRIGMNP" 315184 NIL CTRIGMNP (NIL T T) -7 NIL NIL) (-171 312748 312937 313036 "CTORCALL" 313158 T CTORCALL (NIL) -8 NIL NIL) (-170 312122 312221 312374 "CSTTOOLS" 312645 NIL CSTTOOLS (NIL T T) -7 NIL NIL) (-169 307921 308578 309336 "CRFP" 311434 NIL CRFP (NIL T T) -7 NIL NIL) (-168 306968 307153 307381 "CRAPACK" 307725 NIL CRAPACK (NIL T) -7 NIL NIL) (-167 306352 306453 306657 "CPMATCH" 306844 NIL CPMATCH (NIL T T T) -7 NIL NIL) (-166 306077 306105 306211 "CPIMA" 306318 NIL CPIMA (NIL T T T) -7 NIL NIL) (-165 302441 303113 303831 "COORDSYS" 305412 NIL COORDSYS (NIL T) -7 NIL NIL) (-164 301825 301954 302104 "CONTOUR" 302311 T CONTOUR (NIL) -8 NIL NIL) (-163 297686 299828 300320 "CONTFRAC" 301365 NIL CONTFRAC (NIL T) -8 NIL NIL) (-162 296840 297404 297432 "COMRING" 297437 T COMRING (NIL) -9 NIL 297488) (-161 295921 296198 296382 "COMPPROP" 296676 T COMPPROP (NIL) -8 NIL NIL) (-160 295582 295617 295745 "COMPLPAT" 295880 NIL COMPLPAT (NIL T T T) -7 NIL NIL) (-159 285563 295391 295500 "COMPLEX" 295505 NIL COMPLEX (NIL T) -8 NIL NIL) (-158 285199 285256 285363 "COMPLEX2" 285500 NIL COMPLEX2 (NIL T T) -7 NIL NIL) (-157 284917 284952 285050 "COMPFACT" 285158 NIL COMPFACT (NIL T T) -7 NIL NIL) (-156 269252 279546 279586 "COMPCAT" 280588 NIL COMPCAT (NIL T) -9 NIL 281981) (-155 258767 261691 265318 "COMPCAT-" 265674 NIL COMPCAT- (NIL T T) -8 NIL NIL) (-154 258498 258526 258628 "COMMUPC" 258733 NIL COMMUPC (NIL T T T) -7 NIL NIL) (-153 258293 258326 258385 "COMMONOP" 258459 T COMMONOP (NIL) -7 NIL NIL) (-152 257876 258044 258131 "COMM" 258226 T COMM (NIL) -8 NIL NIL) (-151 257125 257319 257347 "COMBOPC" 257685 T COMBOPC (NIL) -9 NIL 257860) (-150 256021 256231 256473 "COMBINAT" 256915 NIL COMBINAT (NIL T) -7 NIL NIL) (-149 252219 252792 253432 "COMBF" 255443 NIL COMBF (NIL T T) -7 NIL NIL) (-148 251005 251335 251570 "COLOR" 252004 T COLOR (NIL) -8 NIL NIL) (-147 250645 250692 250817 "CMPLXRT" 250952 NIL CMPLXRT (NIL T T) -7 NIL NIL) (-146 246147 247175 248255 "CLIP" 249585 T CLIP (NIL) -7 NIL NIL) (-145 244485 245255 245493 "CLIF" 245975 NIL CLIF (NIL NIL T NIL) -8 NIL NIL) (-144 240708 242632 242673 "CLAGG" 243602 NIL CLAGG (NIL T) -9 NIL 244138) (-143 239130 239587 240170 "CLAGG-" 240175 NIL CLAGG- (NIL T T) -8 NIL NIL) (-142 238674 238759 238899 "CINTSLPE" 239039 NIL CINTSLPE (NIL T T) -7 NIL NIL) (-141 236175 236646 237194 "CHVAR" 238202 NIL CHVAR (NIL T T T) -7 NIL NIL) (-140 235398 235962 235990 "CHARZ" 235995 T CHARZ (NIL) -9 NIL 236009) (-139 235152 235192 235270 "CHARPOL" 235352 NIL CHARPOL (NIL T) -7 NIL NIL) (-138 234259 234856 234884 "CHARNZ" 234931 T CHARNZ (NIL) -9 NIL 234986) (-137 232284 232949 233284 "CHAR" 233944 T CHAR (NIL) -8 NIL NIL) (-136 232010 232071 232099 "CFCAT" 232210 T CFCAT (NIL) -9 NIL NIL) (-135 231255 231366 231548 "CDEN" 231894 NIL CDEN (NIL T T T) -7 NIL NIL) (-134 227247 230408 230688 "CCLASS" 230995 T CCLASS (NIL) -8 NIL NIL) (-133 227166 227192 227227 "CATEGORY" 227232 T -10 (NIL) -8 NIL NIL) (-132 222218 223195 223948 "CARTEN" 226469 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL) (-131 221326 221474 221695 "CARTEN2" 222065 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL) (-130 219624 220478 220734 "CARD" 221090 T CARD (NIL) -8 NIL NIL) (-129 218997 219325 219353 "CACHSET" 219485 T CACHSET (NIL) -9 NIL 219562) (-128 218494 218790 218818 "CABMON" 218868 T CABMON (NIL) -9 NIL 218924) (-127 217662 218041 218184 "BYTE" 218371 T BYTE (NIL) -8 NIL NIL) (-126 213610 217609 217643 "BYTEARY" 217648 T BYTEARY (NIL) -8 NIL NIL) (-125 211167 213302 213409 "BTREE" 213536 NIL BTREE (NIL T) -8 NIL NIL) (-124 208665 210815 210937 "BTOURN" 211077 NIL BTOURN (NIL T) -8 NIL NIL) (-123 206084 208137 208178 "BTCAT" 208246 NIL BTCAT (NIL T) -9 NIL 208323) (-122 205751 205831 205980 "BTCAT-" 205985 NIL BTCAT- (NIL T T) -8 NIL NIL) (-121 201044 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NIL 11348) (-24 10863 10888 10954 "ABELSG-" 10959 NIL ABELSG- (NIL T) -8 NIL NIL) (-23 10233 10494 10520 "ABELMON" 10690 T ABELMON (NIL) -9 NIL 10802) (-22 9897 9981 10119 "ABELMON-" 10124 NIL ABELMON- (NIL T) -8 NIL NIL) (-21 9232 9578 9604 "ABELGRP" 9729 T ABELGRP (NIL) -9 NIL 9811) (-20 8695 8824 9040 "ABELGRP-" 9045 NIL ABELGRP- (NIL T) -8 NIL NIL) (-19 4333 8035 8074 "A1AGG" 8079 NIL A1AGG (NIL T) -9 NIL 8119) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL))
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|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| (-1080 (-208))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -3723 + (-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 (-525)))) + ((*1 *1 *2 *1 *3) + (-12 (-5 *3 (-719)) (-4 *1 (-643 *2)) (-4 *2 (-1027)))) + ((*1 *1 *2) + (-12 + (-5 *2 + (-2 + (|:| -2913 + (-2 (|:| |xinit| (-208)) (|:| |xend| (-208)) + (|:| |fn| (-1181 (-297 (-208)))) (|:| |yinit| (-597 (-208))) + (|:| |intvals| (-597 (-208))) (|:| |g| (-297 (-208))) + (|:| |abserr| (-208)) (|:| |relerr| (-208)))) + (|:| 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(-530))) (-5 *1 (-460 *3 *4)) + (-14 *3 (-597 (-1099))) (-4 *4 (-984))))) +(((*1 *2 *3 *1) + (|partial| -12 (-5 *3 (-1099)) (-5 *2 (-597 (-906))) (-5 *1 (-273))))) (((*1 *2 *3 *4) (-12 (-5 *3 (-637 *8)) (-4 *8 (-890 *5 *7 *6)) (-4 *5 (-13 (-289) (-140))) (-4 *6 (-13 (-795) (-572 (-1099)))) @@ -2011,7 +2390,7 @@ (|:| |wcond| (-597 (-893 *5))) (|:| |bsoln| (-2 (|:| |partsol| (-1181 (-388 (-893 *5)))) - (|:| -2558 (-597 (-1181 (-388 (-893 *5)))))))))) + (|:| -3386 (-597 (-1181 (-388 (-893 *5)))))))))) (-5 *1 (-865 *5 *6 *7 *8)) (-5 *4 (-597 *8)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-637 *8)) (-5 *4 (-597 (-1099))) (-4 *8 (-890 *5 *7 *6)) @@ -2023,7 +2402,7 @@ (|:| |wcond| (-597 (-893 *5))) (|:| |bsoln| (-2 (|:| |partsol| (-1181 (-388 (-893 *5)))) - (|:| -2558 (-597 (-1181 (-388 (-893 *5)))))))))) + (|:| -3386 (-597 (-1181 (-388 (-893 *5)))))))))) (-5 *1 (-865 *5 *6 *7 *8)))) ((*1 *2 *3) (-12 (-5 *3 (-637 *7)) (-4 *7 (-890 *4 *6 *5)) @@ -2035,7 +2414,7 @@ (|:| |wcond| (-597 (-893 *4))) (|:| |bsoln| (-2 (|:| |partsol| (-1181 (-388 (-893 *4)))) - (|:| -2558 (-597 (-1181 (-388 (-893 *4)))))))))) + (|:| -3386 (-597 (-1181 (-388 (-893 *4)))))))))) (-5 *1 (-865 *4 *5 *6 *7)))) ((*1 *2 *3 *4 *5) (-12 (-5 *3 (-637 *9)) (-5 *5 (-862)) (-4 *9 (-890 *6 *8 *7)) @@ -2047,7 +2426,7 @@ (|:| |wcond| (-597 (-893 *6))) (|:| |bsoln| (-2 (|:| |partsol| (-1181 (-388 (-893 *6)))) - (|:| -2558 (-597 (-1181 (-388 (-893 *6)))))))))) + (|:| -3386 (-597 (-1181 (-388 (-893 *6)))))))))) (-5 *1 (-865 *6 *7 *8 *9)) (-5 *4 (-597 *9)))) ((*1 *2 *3 *4 *5) (-12 (-5 *3 (-637 *9)) (-5 *4 (-597 (-1099))) (-5 *5 (-862)) @@ -2059,7 +2438,7 @@ (|:| |wcond| (-597 (-893 *6))) (|:| |bsoln| (-2 (|:| |partsol| (-1181 (-388 (-893 *6)))) - (|:| -2558 (-597 (-1181 (-388 (-893 *6)))))))))) + (|:| -3386 (-597 (-1181 (-388 (-893 *6)))))))))) (-5 *1 (-865 *6 *7 *8 *9)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-637 *8)) (-5 *4 (-862)) (-4 *8 (-890 *5 *7 *6)) @@ -2071,7 +2450,7 @@ (|:| |wcond| (-597 (-893 *5))) (|:| |bsoln| (-2 (|:| 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*3) + (-12 (-5 *2 (-637 *3)) (-4 *3 (-289)) (-5 *1 (-648 *3))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-768)) (-14 *5 (-1099)) (-5 *2 (-597 (-1154 *5 *4))) + (-5 *1 (-1041 *4 *5)) (-5 *3 (-1154 *5 *4))))) (((*1 *2 *1) - (-12 (-4 *1 (-916 *3 *4 *5 *6)) (-4 *3 (-984)) (-4 *4 (-741)) - (-4 *5 (-795)) (-4 *6 (-998 *3 *4 *5)) (-5 *2 (-597 *5))))) + (-12 (-5 *2 (-2 (|:| -3541 *1) (|:| -4257 *1) (|:| |associate| *1))) + (-4 *1 (-522))))) +(((*1 *2 *3) (-12 (-5 *3 (-719)) (-5 *2 (-1186)) (-5 *1 (-360)))) + ((*1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-360))))) +(((*1 *2 *2) + (-12 (-5 *2 (-884 *3)) (-4 *3 (-13 (-344) (-1121) (-941))) + (-5 *1 (-165 *3))))) +(((*1 *1 *1) + (-12 (-4 *1 (-998 *2 *3 *4)) (-4 *2 (-984)) (-4 *3 (-741)) + (-4 *4 (-795)) (-4 *2 (-522))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-3 (-388 (-893 *5)) (-1089 (-1099) (-893 *5)))) - (-4 *5 (-432)) (-5 *2 (-597 (-637 (-388 (-893 *5))))) - (-5 *1 (-274 *5)) (-5 *4 (-637 (-388 (-893 *5))))))) -(((*1 *2 *2) (-12 (-5 *2 (-1022 (-788 (-208)))) (-5 *1 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(-788 (-208)))) (|:| |abserr| (-208)) + (|:| |relerr| (-208))))))) (((*1 *2 *3) - (-12 (-5 *3 (-862)) (-5 *2 (-1095 *4)) (-5 *1 (-338 *4)) - (-4 *4 (-330))))) + (|partial| -12 (-4 *4 (-522)) (-4 *5 (-741)) (-4 *6 (-795)) + (-4 *7 (-998 *4 *5 *6)) + (-5 *2 (-2 (|:| |bas| (-456 *4 *5 *6 *7)) (|:| -1565 (-597 *7)))) + (-5 *1 (-917 *4 *5 *6 *7)) (-5 *3 (-597 *7))))) +(((*1 *2 *3 *1) + (-12 (-4 *4 (-432)) (-4 *5 (-741)) (-4 *6 (-795)) + (-4 *3 (-998 *4 *5 *6)) (-5 *2 (-3 (-110) (-597 *1))) + (-4 *1 (-1003 *4 *5 *6 *3))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) + (-4 *2 (-13 (-411 *3) (-941)))))) +(((*1 *2 *2) + (-12 + (-5 *2 + (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *4) + (|:| |xpnt| (-530)))) + (-4 *4 (-13 (-1157 *3) (-522) (-10 -8 (-15 -2086 ($ $ $))))) + (-4 *3 (-522)) (-5 *1 (-1160 *3 *4))))) +(((*1 *2 *2 *1) (|partial| -12 (-5 *2 (-597 *1)) (-4 *1 (-861))))) +(((*1 *2 *1) (-12 (-5 *2 (-722)) (-5 *1 (-51))))) +(((*1 *2 *2) + (-12 (-4 *3 (-432)) (-4 *3 (-795)) (-4 *3 (-975 (-530))) + (-4 *3 (-522)) (-5 *1 (-40 *3 *2)) (-4 *2 (-411 *3)) + (-4 *2 + (-13 (-344) (-284) + (-10 -8 (-15 -1826 ((-1051 *3 (-570 $)) $)) + (-15 -1835 ((-1051 *3 (-570 $)) $)) + (-15 -2235 ($ (-1051 *3 (-570 $)))))))))) +(((*1 *2 *3 *3 *4) + (-12 (-4 *5 (-432)) (-4 *6 (-741)) (-4 *7 (-795)) + (-4 *3 (-998 *5 *6 *7)) + (-5 *2 (-597 (-2 (|:| |val| (-597 *3)) (|:| -2321 *4)))) + (-5 *1 (-1035 *5 *6 *7 *3 *4)) (-4 *4 (-1003 *5 *6 *7 *3))))) +(((*1 *2 *2 *3 *2) + (-12 (-5 *3 (-719)) (-4 *4 (-330)) (-5 *1 (-200 *4 *2)) + (-4 *2 (-1157 *4)))) + ((*1 *2 *2 *3 *2 *3) + (-12 (-5 *3 (-530)) (-5 *1 (-644 *2)) (-4 *2 (-1157 *3))))) (((*1 *1 *2) (-12 (-5 *2 (-597 (-1006 *3 *4 *5))) (-4 *3 (-1027)) (-4 *4 (-13 (-984) (-827 *3) (-795) (-572 (-833 *3)))) @@ -9878,8 +10166,8 @@ (-12 (-14 *2 (-597 (-1099))) (-4 *3 (-162)) (-4 *5 (-221 (-2144 *2) (-719))) (-14 *6 - (-1 (-110) (-2 (|:| -1891 *4) (|:| -2105 *5)) - (-2 (|:| -1891 *4) (|:| -2105 *5)))) + (-1 (-110) (-2 (|:| -1891 *4) (|:| -3731 *5)) + (-2 (|:| -1891 *4) (|:| -3731 *5)))) (-5 *1 (-441 *2 *3 *4 *5 *6 *7)) (-4 *4 (-795)) (-4 *7 (-890 *3 *5 (-806 *2))))) ((*1 *1 *1) (-12 (-4 *1 (-486 *2 *3)) (-4 *2 (-1027)) (-4 *3 (-795)))) @@ -9894,27 +10182,31 @@ (-12 (-4 *1 (-998 *3 *4 *2)) (-4 *3 (-984)) (-4 *4 (-741)) (-4 *2 (-795)))) ((*1 *1 *1) (-12 (-5 *1 (-1202 *2 *3)) (-4 *2 (-984)) (-4 *3 (-791))))) -(((*1 *2 *2) (-12 (-5 *2 (-530)) (-5 *1 (-867))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-208)) (-5 *4 (-530)) (-5 *2 (-973)) (-5 *1 (-707))))) -(((*1 *2 *3 *4 *4 *5) - (-12 (-5 *3 (-1082)) (-5 *4 (-530)) (-5 *5 (-637 (-208))) - (-5 *2 (-973)) (-5 *1 (-706))))) -(((*1 *2 *1) (-12 (-5 *2 (-597 (-570 *1))) (-4 *1 (-284))))) -(((*1 *2) - (-12 (-4 *4 (-162)) (-5 *2 (-1095 (-893 *4))) (-5 *1 (-397 *3 *4)) - (-4 *3 (-398 *4)))) - ((*1 *2) - (-12 (-4 *1 (-398 *3)) (-4 *3 (-162)) (-4 *3 (-344)) - (-5 *2 (-1095 (-893 *3))))) - ((*1 *2) - (-12 (-5 *2 (-1095 (-388 (-893 *3)))) (-5 *1 (-433 *3 *4 *5 *6)) - (-4 *3 (-522)) (-4 *3 (-162)) (-14 *4 (-862)) - (-14 *5 (-597 (-1099))) (-14 *6 (-1181 (-637 *3)))))) -(((*1 *2 *1) (-12 (-4 *1 (-348 *2)) (-4 *2 (-162))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-1046)) (-5 *2 (-110)) (-5 *1 (-769))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5) + (-12 (-5 *3 (-1 (-360) (-360))) (-5 *4 (-360)) + (-5 *2 + (-2 (|:| -3359 *4) (|:| -3895 *4) (|:| |totalpts| (-530)) + (|:| |success| (-110)))) + (-5 *1 (-737)) (-5 *5 (-530))))) (((*1 *2 *3) - (-12 (-5 *3 (-1 *6 *5)) (-4 *5 (-1027)) (-4 *6 (-1027)) - (-5 *2 (-1 *6 *4 *5)) (-5 *1 (-632 *4 *5 *6)) (-4 *4 (-1027))))) + (|partial| -12 (-5 *3 (-570 *4)) (-4 *4 (-795)) (-4 *2 (-795)) + (-5 *1 (-569 *2 *4))))) +(((*1 *2 *1) (-12 (-5 *2 (-597 (-570 *1))) (-4 *1 (-284))))) +(((*1 *2) (-12 (-5 *2 (-530)) (-5 *1 (-647)))) + ((*1 *2 *2) (-12 (-5 *2 (-530)) (-5 *1 (-647))))) +(((*1 *2 *2 *2) + (-12 + (-5 *2 + (-2 (|:| -3386 (-637 *3)) (|:| |basisDen| *3) + (|:| |basisInv| (-637 *3)))) + (-4 *3 (-13 (-289) (-10 -8 (-15 -1523 ((-399 $) $))))) + (-4 *4 (-1157 *3)) (-5 *1 (-477 *3 *4 *5)) (-4 *5 (-390 *3 *4))))) +(((*1 *2 *3 *3 *4 *3 *4 *4 *4 *5 *5 *5 *5 *4 *4 *6 *7) + (-12 (-5 *4 (-530)) (-5 *5 (-637 (-208))) + (-5 *6 (-3 (|:| |fn| (-369)) (|:| |fp| (-82 FCNF)))) + (-5 *7 (-3 (|:| |fn| (-369)) (|:| |fp| (-83 FCNG)))) (-5 *3 (-208)) + (-5 *2 (-973)) (-5 *1 (-698))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-530)) (-4 *1 (-55 *2 *4 *5)) (-4 *2 (-1135)) (-4 *4 (-354 *2)) (-4 *5 (-354 *2)))) @@ -9957,45 +10249,47 @@ (-4 *4 (-1027)))) ((*1 *1 *2) (-12 (-4 *1 (-345 *2 *3)) (-4 *2 (-1027)) (-4 *3 (-1027))))) -(((*1 *1 *1) (-12 (-5 *1 (-907 *2)) (-4 *2 (-908))))) -(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3) - (-12 (-5 *3 (-530)) (-5 *5 (-637 (-208))) (-5 *4 (-208)) - (-5 *2 (-973)) (-5 *1 (-701))))) -(((*1 *2 *3) - (-12 (-4 *4 (-37 (-388 (-530)))) - (-5 *2 (-2 (|:| -2230 (-1080 *4)) (|:| -2241 (-1080 *4)))) - (-5 *1 (-1086 *4)) (-5 *3 (-1080 *4))))) +(((*1 *2 *1) + (-12 + (-5 *2 + (-1181 + (-2 (|:| |scaleX| (-208)) (|:| |scaleY| (-208)) + (|:| |deltaX| 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(-208))) (-5 *3 (-1022 (-208))) + (-5 *1 (-868)))) + ((*1 *1 *2 *3) + (-12 (-5 *2 (-1 (-884 (-208)) (-208))) (-5 *3 (-1022 (-208))) + (-5 *1 (-868))))) +(((*1 *2 *3 *4 *4 *5) + (-12 (-5 *3 (-1 (-159 (-208)) (-159 (-208)))) (-5 *4 (-1022 (-208))) + (-5 *5 (-110)) (-5 *2 (-1183)) (-5 *1 (-239))))) (((*1 *2 *1) (-12 (-5 *2 (-597 (-570 *1))) (-4 *1 (-284))))) (((*1 *1 *1) (-4 *1 (-34))) ((*1 *2 *2) @@ -10344,40 +10737,20 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *1 *2) (-12 (-5 *2 (-597 (-311))) (-5 *1 (-311))))) -(((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| -2028 (-637 (-388 (-893 *4)))) - (|:| |vec| (-597 (-388 (-893 *4)))) (|:| -2176 (-719)) - (|:| |rows| (-597 (-530))) (|:| |cols| (-597 (-530))))) - (-4 *4 (-13 (-289) (-140))) (-4 *5 (-13 (-795) (-572 (-1099)))) - (-4 *6 (-741)) - (-5 *2 - (-2 (|:| |partsol| (-1181 (-388 (-893 *4)))) - (|:| -2558 (-597 (-1181 (-388 (-893 *4))))))) - (-5 *1 (-865 *4 *5 *6 *7)) (-4 *7 (-890 *4 *6 *5))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1095 *6)) (-4 *6 (-984)) (-4 *4 (-741)) (-4 *5 (-795)) - (-5 *2 (-1095 *7)) (-5 *1 (-302 *4 *5 *6 *7)) - (-4 *7 (-890 *6 *4 *5))))) (((*1 *2 *1) - (-12 (-4 *2 (-1157 *3)) (-5 *1 (-380 *3 *2)) - (-4 *3 (-13 (-344) (-140)))))) -(((*1 *2 *2 *3 *2) - (-12 (-5 *3 (-719)) (-4 *4 (-330)) (-5 *1 (-200 *4 *2)) - (-4 *2 (-1157 *4))))) -(((*1 *2 *3 *2) (-12 (-5 *2 (-973)) (-5 *3 (-1099)) (-5 *1 (-249))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-719)) (-4 *5 (-984)) (-4 *2 (-1157 *5)) - (-5 *1 (-1175 *5 *2 *6 *3)) (-4 *6 (-607 *2)) (-4 *3 (-1172 *5))))) -(((*1 *2 *1 *1) - (-12 (-4 *3 (-522)) (-4 *3 (-984)) - (-5 *2 (-2 (|:| -3193 *1) (|:| -1532 *1))) (-4 *1 (-797 *3)))) - ((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-96 *5)) (-4 *5 (-522)) (-4 *5 (-984)) - (-5 *2 (-2 (|:| -3193 *3) (|:| -1532 *3))) (-5 *1 (-798 *5 *3)) - (-4 *3 (-797 *5))))) + (-12 (-5 *2 (-597 (-597 (-719)))) (-5 *1 (-845 *3)) (-4 *3 (-1027))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-730 *2)) (-4 *2 (-984))))) +(((*1 *2 *3) + (-12 (-5 *3 (-597 (-530))) (-5 *2 (-1101 (-388 (-530)))) + (-5 *1 (-174))))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-161))))) +(((*1 *1 *1 *2 *3) (-12 (-5 *2 (-1082)) (-5 *3 (-722)) (-5 *1 (-112))))) +(((*1 *1 *2) (-12 (-5 *2 (-597 *3)) (-4 *3 (-795)) (-5 *1 (-124 *3))))) +(((*1 *2 *3) (-12 (-5 *3 (-1099)) (-5 *2 (-1186)) (-5 *1 (-1102)))) + ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-1103))))) +(((*1 *1 *1 *2) + (-12 (-4 *1 (-916 *3 *4 *2 *5)) (-4 *3 (-984)) (-4 *4 (-741)) + (-4 *2 (-795)) (-4 *5 (-998 *3 *4 *2))))) (((*1 *1 *1) (-4 *1 (-34))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -10431,50 +10804,45 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-388 (-530))) (-4 *4 (-984)) (-4 *1 (-1164 *4 *3)) (-4 *3 (-1141 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-161)))) - ((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-1131 *3)) (-4 *3 (-914))))) -(((*1 *2) (-12 (-5 *2 (-530)) (-5 *1 (-945))))) -(((*1 *1 *1) (-12 (-4 *1 (-607 *2)) (-4 *2 (-984)))) - ((*1 *2 *3) - (-12 (-4 *4 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(-4 *1 (-1060 *3)) (-4 *3 (-984))))) +(((*1 *2 *2) + (-12 (-5 *2 (-597 *6)) (-4 *6 (-998 *3 *4 *5)) (-4 *3 (-140)) + (-4 *3 (-289)) (-4 *3 (-522)) (-4 *4 (-741)) (-4 *5 (-795)) + (-5 *1 (-917 *3 *4 *5 *6))))) +(((*1 *2 *3) + (-12 (-4 *4 (-522)) (-4 *5 (-741)) (-4 *6 (-795)) + (-4 *7 (-998 *4 *5 *6)) + (-5 *2 (-2 (|:| |goodPols| (-597 *7)) (|:| |badPols| (-597 *7)))) + (-5 *1 (-917 *4 *5 *6 *7)) (-5 *3 (-597 *7))))) +(((*1 *2 *3) + (-12 (-5 *3 (-597 *4)) (-4 *4 (-1027)) (-5 *2 (-1186)) + (-5 *1 (-1136 *4)))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-597 *4)) (-4 *4 (-1027)) (-5 *2 (-1186)) + (-5 *1 (-1136 *4))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-530)) (-4 *6 (-741)) (-4 *7 (-795)) (-4 *8 (-289)) + (-4 *9 (-890 *8 *6 *7)) + (-5 *2 (-2 (|:| -1632 (-1095 *9)) (|:| |polval| (-1095 *8)))) + (-5 *1 (-691 *6 *7 *8 *9)) (-5 *3 (-1095 *9)) (-5 *4 (-1095 *8))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1082)) (-5 *2 (-530)) (-5 *1 (-1118 *4)) (-4 *4 (-984))))) -(((*1 *2 *3 *3) - (-12 (-4 *2 (-522)) (-4 *2 (-432)) (-5 *1 (-910 *2 *3)) - (-4 *3 (-1157 *2))))) -(((*1 *2 *1 *1) - (-12 (-5 *2 (-2 (|:| -2086 (-730 *3)) (|:| |coef1| (-730 *3)))) - (-5 *1 (-730 *3)) (-4 *3 (-522)) (-4 *3 (-984)))) - ((*1 *2 *1 *1) - (-12 (-4 *3 (-522)) (-4 *3 (-984)) (-4 *4 (-741)) (-4 *5 (-795)) - (-5 *2 (-2 (|:| -2086 *1) (|:| |coef1| *1))) - (-4 *1 (-998 *3 *4 *5))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-741)) (-4 *6 (-795)) (-4 *7 (-522)) - (-4 *3 (-890 *7 *5 *6)) - (-5 *2 - (-2 (|:| -2105 (-719)) (|:| -1963 *3) (|:| |radicand| (-597 *3)))) - (-5 *1 (-894 *5 *6 *7 *3 *8)) (-5 *4 (-719)) - (-4 *8 - (-13 (-344) - (-10 -8 (-15 -1826 (*3 $)) (-15 -1836 (*3 $)) (-15 -2235 ($ *3)))))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-1003 *4 *5 *6 *3)) (-4 *4 (-432)) (-4 *5 (-741)) + (-4 *6 (-795)) (-4 *3 (-998 *4 *5 *6)) (-5 *2 (-110))))) (((*1 *2 *3) - (-12 (-4 *1 (-323 *4 *3 *5)) (-4 *4 (-1139)) (-4 *3 (-1157 *4)) - (-4 *5 (-1157 (-388 *3))) (-5 *2 (-110)))) - ((*1 *2 *3) - (-12 (-4 *1 (-323 *3 *4 *5)) (-4 *3 (-1139)) (-4 *4 (-1157 *3)) - (-4 *5 (-1157 (-388 *4))) (-5 *2 (-110))))) + (-12 (-5 *3 (-1 *6 *4 *5)) (-4 *4 (-1027)) (-4 *5 (-1027)) + (-4 *6 (-1027)) (-5 *2 (-1 *6 *5 *4)) (-5 *1 (-632 *4 *5 *6))))) (((*1 *1 *1) (-4 *1 (-34))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -10491,45 +10859,47 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *3 *4 *4 *5) - (|partial| -12 (-5 *4 (-570 *3)) (-5 *5 (-597 *3)) - (-4 *3 (-13 (-411 *6) (-27) (-1121))) - (-4 *6 (-13 (-432) (-975 (-530)) (-795) (-140) (-593 (-530)))) - (-5 *2 - (-2 (|:| |mainpart| *3) - (|:| |limitedlogs| - (-597 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) - (-5 *1 (-532 *6 *3 *7)) (-4 *7 (-1027))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-522) (-140))) (-5 *1 (-507 *3 *2)) - (-4 *2 (-1172 *3)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-344) (-349) (-572 (-530)))) (-4 *4 (-1157 *3)) - (-4 *5 (-673 *3 *4)) (-5 *1 (-511 *3 *4 *5 *2)) (-4 *2 (-1172 *5)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-344) (-349) (-572 (-530)))) (-5 *1 (-512 *3 *2)) - (-4 *2 (-1172 *3)))) +(((*1 *2 *2 *2) + (-12 (-5 *2 (-637 *3)) + (-4 *3 (-13 (-289) (-10 -8 (-15 -1523 ((-399 $) $))))) + (-4 *4 (-1157 *3)) (-5 *1 (-477 *3 *4 *5)) (-4 *5 (-390 *3 *4)))) + ((*1 *2 *2 *2 *3) + (-12 (-5 *2 (-637 *3)) + (-4 *3 (-13 (-289) (-10 -8 (-15 -1523 ((-399 $) $))))) + (-4 *4 (-1157 *3)) (-5 *1 (-477 *3 *4 *5)) (-4 *5 (-390 *3 *4))))) +(((*1 *2 *1) (-12 (-4 *1 (-745 *2)) (-4 *2 (-162))))) +(((*1 *2) + (-12 (-4 *3 (-522)) (-5 *2 (-597 (-637 *3))) (-5 *1 (-42 *3 *4)) + (-4 *4 (-398 *3))))) +(((*1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-425 *3)) (-4 *3 (-984))))) +(((*1 *2 *1 *1) + (-12 + (-5 *2 + (-2 (|:| -1963 *3) (|:| |gap| (-719)) (|:| -3468 (-730 *3)) + (|:| -3078 (-730 *3)))) + (-5 *1 (-730 *3)) (-4 *3 (-984)))) + ((*1 *2 *1 *1 *3) + (-12 (-4 *4 (-984)) (-4 *5 (-741)) (-4 *3 (-795)) + (-5 *2 + (-2 (|:| -1963 *1) (|:| |gap| (-719)) (|:| -3468 *1) + (|:| -3078 *1))) + (-4 *1 (-998 *4 *5 *3)))) + ((*1 *2 *1 *1) + (-12 (-4 *3 (-984)) (-4 *4 (-741)) (-4 *5 (-795)) + (-5 *2 + (-2 (|:| -1963 *1) (|:| |gap| (-719)) (|:| -3468 *1) + (|:| -3078 *1))) + (-4 *1 (-998 *3 *4 *5))))) +(((*1 *1 *1) (-4 *1 (-583))) ((*1 *2 *2) - (-12 (-5 *2 (-1080 *3)) (-4 *3 (-13 (-522) (-140))) - (-5 *1 (-1076 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-597 *3)) (-4 *3 (-793)) (-5 *1 (-285 *3))))) -(((*1 *2 *1 *3) (-12 (-5 *3 (-1099)) (-5 *2 (-1186)) (-5 *1 (-770))))) -(((*1 *2 *1) (-12 (-5 *2 (-597 (-1082))) (-5 *1 (-375)))) - ((*1 *2 *1) (-12 (-5 *2 (-597 (-1082))) (-5 *1 (-1116))))) -(((*1 *2 *2 *3) - (|partial| -12 (-5 *3 (-1 *6 *6)) (-4 *6 (-1157 *5)) - (-4 *5 (-13 (-27) (-411 *4))) - (-4 *4 (-13 (-795) (-522) (-975 (-530)))) - (-4 *7 (-1157 (-388 *6))) (-5 *1 (-518 *4 *5 *6 *7 *2)) - (-4 *2 (-323 *5 *6 *7))))) -(((*1 *2 *3 *3 *3 *3 *3 *4 *3 *4 *3 *5 *5 *3) - (-12 (-5 *3 (-530)) (-5 *4 (-110)) (-5 *5 (-637 (-208))) - (-5 *2 (-973)) (-5 *1 (-704))))) -(((*1 *2 *3 *4 *4 *4 *3 *5 *3 *4 *6 *7) - (-12 (-5 *4 (-530)) (-5 *5 (-637 (-208))) - (-5 *6 (-3 (|:| |fn| (-369)) (|:| |fp| (-84 FCN)))) - (-5 *7 (-3 (|:| |fn| (-369)) (|:| |fp| (-86 OUTPUT)))) - (-5 *3 (-208)) (-5 *2 (-973)) (-5 *1 (-698))))) + (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-584 *3 *2)) + (-4 *2 (-13 (-411 *3) (-941) (-1121)))))) +(((*1 *2 *3 *3 *3 *4 *4 *4 *4 *4 *5 *3 *3 *3 *6 *4 *3) + (-12 (-5 *4 (-637 (-208))) (-5 *5 (-637 (-530))) (-5 *6 (-208)) + (-5 *3 (-530)) (-5 *2 (-973)) (-5 *1 (-701))))) +(((*1 *2 *3 *4 *4 *5 *3 *3 *4 *3) + (-12 (-5 *3 (-530)) (-5 *5 (-637 (-208))) (-5 *4 (-208)) + (-5 *2 (-973)) (-5 *1 (-701))))) (((*1 *1 *1) (-4 *1 (-34))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -10547,51 +10917,29 @@ (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) (((*1 *2 *3) - (|partial| -12 (-5 *2 (-530)) (-5 *1 (-1118 *3)) (-4 *3 (-984))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-597 (-1 (-110) *8))) (-4 *8 (-998 *5 *6 *7)) - (-4 *5 (-522)) (-4 *6 (-741)) (-4 *7 (-795)) - (-5 *2 (-2 (|:| |goodPols| (-597 *8)) (|:| |badPols| (-597 *8)))) - (-5 *1 (-917 *5 *6 *7 *8)) (-5 *4 (-597 *8))))) -(((*1 *1 *2) - (-12 - (-5 *2 - (-597 - (-2 - (|:| -2913 - (-2 (|:| |xinit| (-208)) (|:| |xend| (-208)) - (|:| |fn| (-1181 (-297 (-208)))) - (|:| |yinit| (-597 (-208))) (|:| |intvals| (-597 (-208))) - (|:| |g| (-297 (-208))) (|:| |abserr| (-208)) - (|:| |relerr| (-208)))) - (|:| -1782 - (-2 (|:| |stiffness| (-360)) (|:| |stability| (-360)) - (|:| |expense| (-360)) (|:| |accuracy| (-360)) - (|:| |intermediateResults| (-360))))))) - (-5 *1 (-751))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-208)) (-5 *4 (-530)) (-5 *2 (-973)) (-5 *1 (-707))))) -(((*1 *2 *2 *2) - (|partial| -12 (-4 *3 (-13 (-522) (-140))) (-5 *1 (-1151 *3 *2)) - (-4 *2 (-1157 *3))))) -(((*1 *2 *3 *4 *5 *6) - (|partial| -12 (-5 *4 (-1 *8 *8)) - (-5 *5 - (-1 (-2 (|:| |ans| *7) (|:| -3618 *7) (|:| |sol?| (-110))) - (-530) *7)) - (-5 *6 (-597 (-388 *8))) (-4 *7 (-344)) (-4 *8 (-1157 *7)) - (-5 *3 (-388 *8)) - (-5 *2 - (-2 - (|:| |answer| - (-2 (|:| |mainpart| *3) - (|:| |limitedlogs| - (-597 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) - (|:| |a0| *7))) - (-5 *1 (-540 *7 *8))))) -(((*1 *2 *3) (-12 (-5 *3 (-1082)) (-5 *2 (-110)) (-5 *1 (-777))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-208)) (-5 *4 (-530)) (-5 *2 (-973)) (-5 *1 (-707))))) + (-12 (-4 *4 (-289)) (-4 *5 (-354 *4)) (-4 *6 (-354 *4)) + (-5 *2 (-2 (|:| |Hermite| *3) (|:| |eqMat| *3))) + (-5 *1 (-1050 *4 *5 *6 *3)) (-4 *3 (-635 *4 *5 *6))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1049 *3 *4 *2 *5)) (-4 *4 (-984)) (-4 *5 (-221 *3 *4)) + (-4 *2 (-221 *3 *4))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-771)) (-5 *2 (-1186)) (-5 *1 (-770))))) +(((*1 *1 *1 *1) (-5 *1 (-804)))) +(((*1 *2 *1) + (-12 (-4 *1 (-916 *3 *4 *5 *6)) (-4 *3 (-984)) (-4 *4 (-741)) + (-4 *5 (-795)) (-4 *6 (-998 *3 *4 *5)) (-4 *3 (-522)) + (-5 *2 (-110))))) +(((*1 *2 *3 *3 *3 *3 *4 *4 *4 *5) + (-12 (-5 *3 (-208)) (-5 *4 (-530)) + (-5 *5 (-3 (|:| |fn| (-369)) (|:| |fp| (-62 -1329)))) (-5 *2 (-973)) + (-5 *1 (-697))))) +(((*1 *2 *3) + (-12 (-4 *4 (-37 (-388 (-530)))) + (-5 *2 (-2 (|:| -2230 (-1080 *4)) (|:| -2241 (-1080 *4)))) + (-5 *1 (-1086 *4)) (-5 *3 (-1080 *4))))) +(((*1 *1 *2 *3) + (-12 (-5 *2 (-830 *4 *5)) (-5 *3 (-830 *4 *6)) (-4 *4 (-1027)) + (-4 *5 (-1027)) (-4 *6 (-617 *5)) (-5 *1 (-826 *4 *5 *6))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) (-4 *2 (-13 (-411 *3) (-941))))) @@ -10608,31 +10956,39 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-297 (-208))) (-5 *1 (-194))))) +(((*1 *2 *3 *3) + (-12 (-4 *3 (-1139)) (-4 *5 (-1157 *3)) (-4 *6 (-1157 (-388 *5))) + (-5 *2 (-110)) (-5 *1 (-322 *4 *3 *5 *6)) (-4 *4 (-323 *3 *5 *6)))) + ((*1 *2 *3 *3) + (-12 (-4 *1 (-323 *3 *4 *5)) (-4 *3 (-1139)) (-4 *4 (-1157 *3)) + (-4 *5 (-1157 (-388 *4))) (-5 *2 (-110))))) (((*1 *2 *3 *1) (|partial| -12 (-4 *1 (-35 *3 *4)) (-4 *3 (-1027)) (-4 *4 (-1027)) (-5 *2 (-2 (|:| -2913 *3) (|:| -1782 *4)))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *2 *2)) (-4 *2 (-1172 *4)) (-5 *1 (-1174 *4 *2)) - (-4 *4 (-37 (-388 (-530))))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-110)) - (-4 *5 (-13 (-432) (-795) (-975 (-530)) (-593 (-530)))) - (-5 *2 - (-3 (|:| |%expansion| (-294 *5 *3 *6 *7)) - (|:| |%problem| (-2 (|:| |func| (-1082)) (|:| |prob| (-1082)))))) - (-5 *1 (-401 *5 *3 *6 *7)) (-4 *3 (-13 (-27) (-1121) (-411 *5))) - (-14 *6 (-1099)) (-14 *7 *3)))) -(((*1 *2 *1 *2 *3) - (|partial| -12 (-5 *2 (-1082)) (-5 *3 (-530)) (-5 *1 (-996))))) -(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-907 *3)) (-4 *3 (-908))))) -(((*1 *2 *2 *3) (-12 (-5 *2 (-530)) (-5 *3 (-719)) (-5 *1 (-527))))) +(((*1 *1 *2) (-12 (-5 *2 (-530)) (-5 *1 (-804))))) +(((*1 *1 *2 *3) + (-12 + (-5 *3 + (-597 + (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2) + (|:| |xpnt| (-530))))) + (-4 *2 (-522)) (-5 *1 (-399 *2)))) + ((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |contp| (-530)) + (|:| -3494 (-597 (-2 (|:| |irr| *4) (|:| -1429 (-530))))))) + (-4 *4 (-1157 (-530))) (-5 *2 (-399 *4)) (-5 *1 (-422 *4))))) (((*1 *2 *1) - (-12 (-5 *2 (-597 (-846 *3))) (-5 *1 (-845 *3)) (-4 *3 (-1027))))) -(((*1 *2 *3 *3 *3 *4 *5 *3 *6) - (-12 (-5 *3 (-530)) (-5 *4 (-637 (-208))) (-5 *5 (-208)) - (-5 *6 (-3 (|:| |fn| (-369)) (|:| |fp| (-72 FCN)))) (-5 *2 (-973)) - (-5 *1 (-695))))) + (-12 (-4 *1 (-1030 *3 *4 *5 *6 *7)) (-4 *3 (-1027)) (-4 *4 (-1027)) + (-4 *5 (-1027)) (-4 *6 (-1027)) (-4 *7 (-1027)) (-5 *2 (-110))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-795) (-432))) (-5 *1 (-1127 *3 *2)) + (-4 *2 (-13 (-411 *3) (-1121)))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-923 *2)) (-4 *2 (-1121))))) +(((*1 *2 *3 *3 *1) + (|partial| -12 (-5 *3 (-1099)) (-5 *2 (-1031)) (-5 *1 (-273))))) +(((*1 *2 *3 *3 *2) (-12 (-5 *2 (-973)) (-5 *3 (-1099)) (-5 *1 (-176))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) (-4 *2 (-13 (-411 *3) (-941))))) @@ -10649,7 +11005,8 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *1) (|partial| -12 (-4 *1 (-951)) (-5 *2 (-804))))) +(((*1 *1 *1) (-12 (-4 *1 (-411 *2)) (-4 *2 (-795)) (-4 *2 (-984)))) + ((*1 *1 *1) (-12 (-4 *1 (-932 *2)) (-4 *2 (-522))))) (((*1 *2 *1) (-12 (-4 *1 (-227 *2)) (-4 *2 (-1135)))) ((*1 *2 *1) (|partial| -12 (-4 *1 (-1129 *3 *4 *5 *2)) (-4 *3 (-522)) @@ -10657,19 +11014,33 @@ ((*1 *1 *1 *2) (-12 (-5 *2 (-719)) (-4 *1 (-1169 *3)) (-4 *3 (-1135)))) ((*1 *2 *1) (-12 (-4 *1 (-1169 *2)) (-4 *2 (-1135))))) -(((*1 *2 *3 *4 *3 *5 *5 *3 *5 *4) - (-12 (-5 *4 (-637 (-208))) (-5 *5 (-637 (-530))) (-5 *3 (-530)) - (-5 *2 (-973)) (-5 *1 (-705))))) -(((*1 *2) - (-12 (-5 *2 (-1 *3 *3)) (-5 *1 (-501 *3)) (-4 *3 (-13 (-675) (-25)))))) -(((*1 *2 *3) (-12 (-5 *3 (-719)) (-5 *2 (-1186)) (-5 *1 (-360)))) - ((*1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-360))))) -(((*1 *1 *1 *1) (-4 *1 (-284))) ((*1 *1 *1) (-4 *1 (-284)))) -(((*1 *1 *1 *2 *2 *2 *2) +(((*1 *1 *1 *2 *2) (-12 (-5 *2 (-530)) (-4 *1 (-635 *3 *4 *5)) (-4 *3 (-984)) (-4 *4 (-354 *3)) (-4 *5 (-354 *3))))) +(((*1 *2 *1) + (-12 (-5 *2 (-388 (-893 *3))) (-5 *1 (-433 *3 *4 *5 *6)) + (-4 *3 (-522)) (-4 *3 (-162)) (-14 *4 (-862)) + (-14 *5 (-597 (-1099))) (-14 *6 (-1181 (-637 *3)))))) +(((*1 *2 *1 *3) + (-12 (-4 *1 (-323 *4 *3 *5)) (-4 *4 (-1139)) (-4 *3 (-1157 *4)) + (-4 *5 (-1157 (-388 *3))) (-5 *2 (-110)))) + ((*1 *2 *1 *3) + (-12 (-4 *1 (-323 *3 *4 *5)) (-4 *3 (-1139)) (-4 *4 (-1157 *3)) + (-4 *5 (-1157 (-388 *4))) (-5 *2 (-110)))) + ((*1 *2 *1) + (-12 (-4 *1 (-323 *3 *4 *5)) (-4 *3 (-1139)) (-4 *4 (-1157 *3)) + (-4 *5 (-1157 (-388 *4))) (-5 *2 (-110))))) +(((*1 *1) (-5 *1 (-137))) + ((*1 *2 *3) + (-12 (-5 *3 (-597 (-245))) (-5 *2 (-1059 (-208))) (-5 *1 (-243)))) + ((*1 *1 *2) (-12 (-5 *2 (-1059 (-208))) (-5 *1 (-245))))) +(((*1 *2 *3) + (-12 (-5 *3 (-637 (-297 (-208)))) + (-5 *2 + (-2 (|:| |stiffnessFactor| (-360)) (|:| |stabilityFactor| (-360)))) + (-5 *1 (-189))))) (((*1 *2) - (-12 (-4 *3 (-522)) (-5 *2 (-597 *4)) (-5 *1 (-42 *3 *4)) + (-12 (-4 *3 (-522)) (-5 *2 (-597 (-637 *3))) (-5 *1 (-42 *3 *4)) (-4 *4 (-398 *3))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -10687,52 +11058,25 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *3) - (|partial| -12 - (-5 *3 - (-2 (|:| |xinit| (-208)) (|:| |xend| (-208)) - (|:| |fn| (-1181 (-297 (-208)))) (|:| |yinit| (-597 (-208))) - (|:| |intvals| (-597 (-208))) (|:| |g| (-297 (-208))) - (|:| |abserr| (-208)) (|:| |relerr| (-208)))) - (-5 *2 - (-2 (|:| |stiffness| (-360)) (|:| |stability| (-360)) - (|:| |expense| (-360)) (|:| |accuracy| (-360)) - (|:| |intermediateResults| (-360)))) - (-5 *1 (-751))))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-415))))) (((*1 *2) (-12 (-5 *2 (-110)) (-5 *1 (-708))))) -(((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-110) *3)) (|has| *1 (-6 -4270)) (-4 *1 (-218 *3)) - (-4 *3 (-1027)))) - ((*1 *1 *2 *1) - (-12 (|has| *1 (-6 -4270)) (-4 *1 (-218 *2)) (-4 *2 (-1027)))) - ((*1 *1 *2 *1) - (-12 (-4 *1 (-264 *2)) (-4 *2 (-1135)) (-4 *2 (-1027)))) - ((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-110) *3)) (-4 *1 (-264 *3)) (-4 *3 (-1135)))) - ((*1 *2 *3 *1) - (|partial| -12 (-4 *1 (-568 *3 *2)) (-4 *3 (-1027)) (-4 *2 (-1027)))) - ((*1 *1 *2 *1 *3) - (-12 (-5 *2 (-1 (-110) *4)) (-5 *3 (-530)) (-4 *4 (-1027)) - (-5 *1 (-686 *4)))) - ((*1 *1 *2 *1 *3) - (-12 (-5 *3 (-530)) (-5 *1 (-686 *2)) (-4 *2 (-1027)))) - ((*1 *1 *2 *1) - (-12 (-5 *2 (-1064 *3 *4)) (-4 *3 (-13 (-1027) (-33))) - (-4 *4 (-13 (-1027) (-33))) (-5 *1 (-1065 *3 *4))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-530)) (|has| *1 (-6 -4271)) (-4 *1 (-1169 *3)) + (-4 *3 (-1135))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-795) (-432))) (-5 *1 (-1127 *3 *2)) + (-4 *2 (-13 (-411 *3) (-1121)))))) (((*1 *2 *2 *3) - (-12 (-5 *3 (-1 (-110) *2)) (-4 *2 (-129)) (-5 *1 (-1013 *2)))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-1 (-530) *2 *2)) (-4 *2 (-129)) (-5 *1 (-1013 *2))))) -(((*1 *2 *1 *3 *4) - (-12 (-5 *3 (-862)) (-5 *4 (-815)) (-5 *2 (-1186)) (-5 *1 (-1182)))) - ((*1 *2 *1 *3 *4) - (-12 (-5 *3 (-862)) (-5 *4 (-1082)) (-5 *2 (-1186)) (-5 *1 (-1182)))) - ((*1 *2 *1 *3) (-12 (-5 *3 (-1082)) (-5 *2 (-1186)) (-5 *1 (-1183))))) -(((*1 *2 *1) - (-12 (-4 *3 (-984)) (-5 *2 (-1181 *3)) (-5 *1 (-661 *3 *4)) - (-4 *4 (-1157 *3))))) -(((*1 *1 *1 *1) - (-12 (|has| *1 (-6 -4271)) (-4 *1 (-227 *2)) (-4 *2 (-1135))))) + (-12 (-5 *3 (-862)) (-5 *1 (-970 *2)) + (-4 *2 (-13 (-1027) (-10 -8 (-15 * ($ $ $)))))))) +(((*1 *2 *1 *3) (-12 (-4 *1 (-33)) (-5 *3 (-719)) (-5 *2 (-110)))) + ((*1 *2 *3 *3) + (|partial| -12 (-5 *2 (-110)) (-5 *1 (-1136 *3)) (-4 *3 (-1027)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *4 (-1 (-110) *3 *3)) (-4 *3 (-1027)) (-5 *2 (-110)) + (-5 *1 (-1136 *3))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-815)) (-5 *3 (-597 (-245))) (-5 *1 (-243))))) (((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-804) (-804))) (-5 *1 (-112)))) ((*1 *1 *1 *2) (-12 (-5 *2 (-1 (-804) (-597 (-804)))) (-5 *1 (-112)))) ((*1 *2 *1) @@ -10742,35 +11086,19 @@ (-4 *3 (-13 (-795) (-10 -8 (-15 -1808 ((-1082) $ (-1099))) (-15 -2256 (*2 $)) - (-15 -3958 (*2 $))))))) + (-15 -2510 (*2 $))))))) ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-375)))) ((*1 *2 *1 *3) (-12 (-5 *3 (-530)) (-5 *2 (-1186)) (-5 *1 (-375)))) ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-480)))) ((*1 *2 *3) (-12 (-5 *3 (-1082)) (-5 *2 (-1186)) (-5 *1 (-659)))) ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-1116)))) ((*1 *2 *1 *3) (-12 (-5 *3 (-530)) (-5 *2 (-1186)) (-5 *1 (-1116))))) -(((*1 *2 *1) - (|partial| -12 (-4 *1 (-156 *3)) (-4 *3 (-162)) (-4 *3 (-515)) - (-5 *2 (-388 (-530))))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-388 (-530))) (-5 *1 (-399 *3)) (-4 *3 (-515)) - (-4 *3 (-522)))) - ((*1 *2 *1) (|partial| -12 (-4 *1 (-515)) (-5 *2 (-388 (-530))))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-745 *3)) (-4 *3 (-162)) (-4 *3 (-515)) - (-5 *2 (-388 (-530))))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-388 (-530))) (-5 *1 (-781 *3)) (-4 *3 (-515)) - (-4 *3 (-1027)))) - ((*1 *2 *1) - (|partial| -12 (-5 *2 (-388 (-530))) (-5 *1 (-788 *3)) (-4 *3 (-515)) - (-4 *3 (-1027)))) - ((*1 *2 *1) - (|partial| -12 (-4 *1 (-936 *3)) (-4 *3 (-162)) (-4 *3 (-515)) - (-5 *2 (-388 (-530))))) - ((*1 *2 *3) - (|partial| -12 (-5 *2 (-388 (-530))) (-5 *1 (-947 *3)) - (-4 *3 (-975 *2))))) +(((*1 *2 *1 *3) + (-12 (-5 *3 (-530)) (-4 *1 (-55 *4 *2 *5)) (-4 *4 (-1135)) + (-4 *5 (-354 *4)) (-4 *2 (-354 *4)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-530)) (-4 *1 (-987 *4 *5 *6 *2 *7)) (-4 *6 (-984)) + (-4 *7 (-221 *4 *6)) (-4 *2 (-221 *5 *6))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) (-4 *2 (-13 (-411 *3) (-941))))) @@ -10790,12 +11118,16 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *3 *3 *4 *5 *3 *3 *4 *4 *4 *6) - (-12 (-5 *4 (-530)) (-5 *5 (-637 (-208))) - (-5 *6 (-3 (|:| |fn| (-369)) (|:| |fp| (-62 -1329)))) (-5 *3 (-208)) - (-5 *2 (-973)) (-5 *1 (-697))))) -(((*1 *2 *1) - (-12 (-5 *2 (-964 (-788 (-530)))) (-5 *1 (-555 *3)) (-4 *3 (-984))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-597 *7)) (-4 *7 (-795)) (-4 *5 (-850)) (-4 *6 (-741)) + (-4 *8 (-890 *5 *6 *7)) (-5 *2 (-399 (-1095 *8))) + (-5 *1 (-847 *5 *6 *7 *8)) (-5 *4 (-1095 *8)))) + ((*1 *2 *3) + (-12 (-4 *4 (-850)) (-4 *5 (-1157 *4)) (-5 *2 (-399 (-1095 *5))) + (-5 *1 (-848 *4 *5)) (-5 *3 (-1095 *5))))) +(((*1 *1 *1 *1 *2) + (-12 (-5 *2 (-719)) (-4 *1 (-307 *3 *4)) (-4 *3 (-984)) + (-4 *4 (-740)) (-4 *3 (-162))))) (((*1 *1 *1) (-12 (-4 *1 (-235 *2 *3 *4 *5)) (-4 *2 (-984)) (-4 *3 (-795)) (-4 *4 (-248 *3)) (-4 *5 (-741))))) @@ -10815,29 +11147,24 @@ ((*1 *1 *2 *1) (-12 (-5 *2 (-1064 *3 *4)) (-4 *3 (-13 (-1027) (-33))) (-4 *4 (-13 (-1027) (-33))) (-5 *1 (-1065 *3 *4))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-637 *1)) (-5 *4 (-1181 *1)) (-4 *1 (-593 *5)) - (-4 *5 (-984)) - (-5 *2 (-2 (|:| -2028 (-637 *5)) (|:| |vec| (-1181 *5)))))) - ((*1 *2 *3) - (-12 (-5 *3 (-637 *1)) (-4 *1 (-593 *4)) (-4 *4 (-984)) - (-5 *2 (-637 *4))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) - (-4 *2 (-13 (-411 *3) (-941)))))) (((*1 *2 *3) - (|partial| -12 (-5 *3 (-570 *4)) (-4 *4 (-795)) (-4 *2 (-795)) - (-5 *1 (-569 *2 *4))))) + (-12 (-5 *3 (-1 *6 *4)) (-4 *4 (-1027)) (-4 *6 (-1027)) + (-5 *2 (-1 *6 *4 *5)) (-5 *1 (-632 *4 *5 *6)) (-4 *5 (-1027))))) +(((*1 *2 *3) + (-12 (-5 *3 (-530)) (|has| *1 (-6 -4261)) (-4 *1 (-385)) + (-5 *2 (-862))))) +(((*1 *2 *2 *2) + (-12 (-5 *2 (-399 *3)) (-4 *3 (-522)) (-5 *1 (-400 *3))))) (((*1 *1 *2) (-12 (-5 *2 (-597 *3)) (-4 *3 (-1135)) (-4 *1 (-144 *3)))) ((*1 *1 *2) (-12 - (-5 *2 (-597 (-2 (|:| -2105 (-719)) (|:| -3689 *4) (|:| |num| *4)))) + (-5 *2 (-597 (-2 (|:| -3731 (-719)) (|:| -3689 *4) (|:| |num| *4)))) (-4 *4 (-1157 *3)) (-4 *3 (-13 (-344) (-140))) (-5 *1 (-380 *3 *4)))) ((*1 *1 *2 *3 *4) - (-12 (-5 *2 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-12 (-5 *2 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-5 *3 (-597 (-893 (-530)))) (-5 *4 (-110)) (-5 *1 (-418)))) ((*1 *1 *2 *3 *4) - (-12 (-5 *2 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-12 (-5 *2 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-5 *3 (-597 (-1099))) (-5 *4 (-110)) (-5 *1 (-418)))) ((*1 *2 *1) (-12 (-5 *2 (-1080 *3)) (-5 *1 (-560 *3)) (-4 *3 (-1135)))) @@ -10857,8 +11184,8 @@ ((*1 *1 *2 *3) (-12 (-5 *1 (-662 *2 *3 *4)) (-4 *2 (-795)) (-4 *3 (-1027)) (-14 *4 - (-1 (-110) (-2 (|:| -1891 *2) (|:| -2105 *3)) - (-2 (|:| -1891 *2) (|:| -2105 *3)))))) + (-1 (-110) (-2 (|:| -1891 *2) (|:| -3731 *3)) + (-2 (|:| -1891 *2) (|:| -3731 *3)))))) ((*1 *1 *2 *3) (-12 (-5 *1 (-814 *2 *3)) (-4 *2 (-1135)) (-4 *3 (-1135)))) ((*1 *1 *2) @@ -10896,13 +11223,24 @@ (-4 *4 (-13 (-1027) (-33))) (-5 *1 (-1065 *3 *4)))) ((*1 *1 *2 *3) (-12 (-5 *1 (-1089 *2 *3)) (-4 *2 (-1027)) (-4 *3 (-1027))))) -(((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-770))))) -(((*1 *2 *2 *3) - (-12 (-4 *3 (-984)) (-5 *1 (-424 *3 *2)) (-4 *2 (-1157 *3))))) -(((*1 *1 *1) (-12 (-5 *1 (-555 *2)) (-4 *2 (-984))))) -(((*1 *2 *1) - (-12 (-5 *2 (-804)) (-5 *1 (-371 *3 *4 *5)) (-14 *3 (-719)) - (-14 *4 (-719)) (-4 *5 (-162))))) +(((*1 *2 *1) (-12 (-5 *2 (-772)) (-5 *1 (-773))))) +(((*1 *2 *1) (-12 (-4 *1 (-289)) (-5 *2 (-719))))) +(((*1 *2 *3 *4 *2) + (-12 (-5 *3 (-1 *2 (-719) *2)) (-5 *4 (-719)) (-4 *2 (-1027)) + (-5 *1 (-627 *2)))) + ((*1 *2 *2) + (-12 (-5 *2 (-1 *3 (-719) *3)) (-4 *3 (-1027)) (-5 *1 (-630 *3))))) +(((*1 *2 *3 *4 *5 *6 *7 *6) + (|partial| -12 + (-5 *5 + (-2 (|:| |contp| *3) + (|:| -3494 (-597 (-2 (|:| |irr| *10) (|:| -1429 (-530))))))) + (-5 *6 (-597 *3)) (-5 *7 (-597 *8)) (-4 *8 (-795)) (-4 *3 (-289)) + (-4 *10 (-890 *3 *9 *8)) (-4 *9 (-741)) + (-5 *2 + (-2 (|:| |polfac| (-597 *10)) (|:| |correct| *3) + (|:| |corrfact| (-597 (-1095 *3))))) + (-5 *1 (-580 *8 *9 *3 *10)) (-5 *4 (-597 (-1095 *3)))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) (-4 *2 (-13 (-411 *3) (-941))))) @@ -10922,37 +11260,31 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *3 *2) - (|partial| -12 (-5 *3 (-862)) (-5 *1 (-422 *2)) - (-4 *2 (-1157 (-530))))) - ((*1 *2 *3 *2 *4) - (|partial| -12 (-5 *3 (-862)) (-5 *4 (-719)) (-5 *1 (-422 *2)) - (-4 *2 (-1157 (-530))))) - ((*1 *2 *3 *2 *4) - (|partial| -12 (-5 *3 (-862)) (-5 *4 (-597 (-719))) (-5 *1 (-422 *2)) - (-4 *2 (-1157 (-530))))) - ((*1 *2 *3 *2 *4 *5) - (|partial| -12 (-5 *3 (-862)) (-5 *4 (-597 (-719))) (-5 *5 (-719)) - (-5 *1 (-422 *2)) (-4 *2 (-1157 (-530))))) - ((*1 *2 *3 *2 *4 *5 *6) - (|partial| -12 (-5 *3 (-862)) (-5 *4 (-597 (-719))) (-5 *5 (-719)) - (-5 *6 (-110)) (-5 *1 (-422 *2)) (-4 *2 (-1157 (-530))))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-862)) (-5 *4 (-399 *2)) (-4 *2 (-1157 *5)) - (-5 *1 (-424 *5 *2)) (-4 *5 (-984))))) +(((*1 *2 *1) + (-12 (-4 *3 (-344)) (-4 *4 (-1157 *3)) (-4 *5 (-1157 (-388 *4))) + (-5 *2 (-1181 *6)) (-5 *1 (-317 *3 *4 *5 *6)) + (-4 *6 (-323 *3 *4 *5))))) (((*1 *2 *1) (-12 (-4 *4 (-1027)) (-5 *2 (-830 *3 *5)) (-5 *1 (-826 *3 *4 *5)) (-4 *3 (-1027)) (-4 *5 (-617 *4))))) -(((*1 *2) - (-12 (-4 *2 (-13 (-411 *3) (-941))) (-5 *1 (-258 *3 *2)) - (-4 *3 (-13 (-795) (-522)))))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-415))))) (((*1 *2 *3) - (-12 (-5 *3 (-597 (-530))) (-5 *2 (-1101 (-388 (-530)))) - (-5 *1 (-174))))) -(((*1 *2 *2) - (-12 (-5 *2 (-597 *6)) (-4 *6 (-998 *3 *4 *5)) (-4 *3 (-140)) - (-4 *3 (-289)) (-4 *3 (-522)) (-4 *4 (-741)) (-4 *5 (-795)) - (-5 *1 (-917 *3 *4 *5 *6))))) + (-12 + (-5 *3 + (-2 (|:| |var| (-1099)) (|:| |fn| (-297 (-208))) + (|:| -3723 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) + (|:| |relerr| (-208)))) + (-5 *2 (-360)) (-5 *1 (-176))))) +(((*1 *2 *3 *4 *5) + (-12 (-4 *6 (-1157 *9)) (-4 *7 (-741)) (-4 *8 (-795)) (-4 *9 (-289)) + (-4 *10 (-890 *9 *7 *8)) + (-5 *2 + (-2 (|:| |deter| (-597 (-1095 *10))) + (|:| |dterm| + (-597 (-597 (-2 (|:| -2259 (-719)) (|:| |pcoef| *10))))) + (|:| |nfacts| (-597 *6)) (|:| |nlead| (-597 *10)))) + (-5 *1 (-726 *6 *7 *8 *9 *10)) (-5 *3 (-1095 *10)) (-5 *4 (-597 *6)) + (-5 *5 (-597 *10))))) (((*1 *1 *2) (-12 (-4 *1 (-37 *2)) (-4 *2 (-162)))) ((*1 *1 *2) (-12 (-5 *2 (-1181 *3)) (-4 *3 (-344)) (-14 *6 (-1181 (-637 *3))) @@ -11047,7 +11379,7 @@ (-4 *3 (-13 (-795) (-10 -8 (-15 -1808 ((-1082) $ (-1099))) (-15 -2256 ((-1186) $)) - (-15 -3958 ((-1186) $))))) + (-15 -2510 ((-1186) $))))) (-5 *1 (-198 *3)))) ((*1 *2 *1) (-12 (-5 *2 (-943 10)) (-5 *1 (-201)))) ((*1 *2 *1) (-12 (-5 *2 (-388 (-530))) (-5 *1 (-201)))) @@ -11111,65 +11443,65 @@ ((*1 *1 *2) (-12 (-5 *2 (-597 (-311))) (-4 *1 (-377)))) ((*1 *1 *2) (-12 (-5 *2 (-276 (-297 (-159 (-360))))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-276 (-297 (-360)))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-276 (-297 (-530)))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-297 (-159 (-360)))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-297 (-360))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-297 (-530))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-276 (-297 (-642)))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-276 (-297 (-647)))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-276 (-297 (-649)))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-297 (-642))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-297 (-647))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-297 (-649))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |localSymbols| (-1103)) (|:| -1803 (-597 (-311))))) (-5 *1 (-379 *3 *4 *5 *6)) (-14 *3 (-1099)) - (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-597 (-311))) (-5 *1 (-379 *3 *4 *5 *6)) - (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *3 (-1099)) (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-311)) (-5 *1 (-379 *3 *4 *5 *6)) (-14 *3 (-1099)) - (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2841 "void"))) + (-14 *4 (-3 (|:| |fst| (-415)) (|:| -2840 "void"))) (-14 *5 (-597 (-1099))) (-14 *6 (-1103)))) ((*1 *1 *2) (-12 (-5 *2 (-312 *4)) (-4 *4 (-13 (-795) (-21))) @@ -11273,18 +11605,18 @@ ((*1 *1 *2) (-12 (-4 *3 (-984)) (-5 *1 (-661 *3 *2)) (-4 *2 (-1157 *3)))) ((*1 *2 *1) - (-12 (-5 *2 (-2 (|:| -1891 *3) (|:| -2105 *4))) + (-12 (-5 *2 (-2 (|:| -1891 *3) (|:| -3731 *4))) (-5 *1 (-662 *3 *4 *5)) (-4 *3 (-795)) (-4 *4 (-1027)) (-14 *5 (-1 (-110) *2 *2)))) ((*1 *1 *2) - (-12 (-5 *2 (-2 (|:| -1891 *3) (|:| -2105 *4))) (-4 *3 (-795)) + (-12 (-5 *2 (-2 (|:| -1891 *3) (|:| -3731 *4))) (-4 *3 (-795)) (-4 *4 (-1027)) (-5 *1 (-662 *3 *4 *5)) (-14 *5 (-1 (-110) *2 *2)))) ((*1 *2 *1) (-12 (-4 *2 (-162)) (-5 *1 (-664 *2 *3 *4 *5 *6)) (-4 *3 (-23)) (-14 *4 (-1 *2 *2 *3)) (-14 *5 (-1 (-3 *3 "failed") *3 *3)) (-14 *6 (-1 (-3 *2 "failed") *2 *2 *3)))) ((*1 *1 *2) - (-12 (-5 *2 (-597 (-2 (|:| -1963 *3) (|:| -3923 *4)))) (-4 *3 (-984)) + (-12 (-5 *2 (-597 (-2 (|:| -1963 *3) (|:| -3922 *4)))) (-4 *3 (-984)) (-4 *4 (-675)) (-5 *1 (-684 *3 *4)))) ((*1 *1 *2) (-12 (-5 *2 (-530)) (-4 *1 (-712)))) ((*1 *1 *2) @@ -11293,25 +11625,25 @@ (-3 (|:| |nia| (-2 (|:| |var| (-1099)) (|:| |fn| (-297 (-208))) - (|:| -3527 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) + (|:| -3723 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) (|:| |relerr| (-208)))) (|:| |mdnia| (-2 (|:| |fn| (-297 (-208))) - (|:| -3527 (-597 (-1022 (-788 (-208))))) + (|:| -3723 (-597 (-1022 (-788 (-208))))) (|:| |abserr| (-208)) (|:| |relerr| (-208)))))) (-5 *1 (-717)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |fn| (-297 (-208))) - (|:| -3527 (-597 (-1022 (-788 (-208))))) (|:| |abserr| (-208)) + (|:| -3723 (-597 (-1022 (-788 (-208))))) (|:| |abserr| (-208)) (|:| |relerr| (-208)))) (-5 *1 (-717)))) ((*1 *1 *2) (-12 (-5 *2 (-2 (|:| |var| (-1099)) (|:| |fn| (-297 (-208))) - (|:| -3527 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) + (|:| -3723 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) (|:| |relerr| (-208)))) (-5 *1 (-717)))) ((*1 *2 *1) (-12 (-5 *2 (-804)) (-5 *1 (-717)))) @@ -11577,10 +11909,19 @@ (-12 (-5 *2 (-418)) (-5 *3 (-1099)) (-5 *1 (-1103)))) ((*1 *2 *3 *2 *1) (-12 (-5 *2 (-418)) (-5 *3 (-597 (-1099))) (-5 *1 (-1103))))) -(((*1 *1 *1 *2) (-12 (-4 *1 (-951)) (-5 *2 (-804))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-110)) (-5 *1 (-161)))) - ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-1182)))) - ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-1183))))) +(((*1 *2 *2) + (-12 (-4 *3 (-975 (-530))) (-4 *3 (-13 (-795) (-522))) + (-5 *1 (-31 *3 *2)) (-4 *2 (-411 *3)))) + ((*1 *2) + (-12 (-4 *4 (-162)) (-5 *2 (-1095 *4)) (-5 *1 (-155 *3 *4)) + (-4 *3 (-156 *4)))) + ((*1 *1 *1) (-12 (-4 *1 (-984)) (-4 *1 (-284)))) + ((*1 *2) (-12 (-4 *1 (-310 *3)) (-4 *3 (-344)) (-5 *2 (-1095 *3)))) + ((*1 *2) (-12 (-4 *1 (-673 *3 *2)) (-4 *3 (-162)) (-4 *2 (-1157 *3)))) + ((*1 *2 *1) + (-12 (-4 *1 (-1000 *3 *2)) (-4 *3 (-13 (-793) (-344))) + (-4 *2 (-1157 *3))))) +(((*1 *2 *3) (-12 (-5 *3 (-884 *2)) (-5 *1 (-922 *2)) (-4 *2 (-984))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) (-4 *2 (-13 (-411 *3) (-941))))) @@ -11600,43 +11941,42 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) +(((*1 *2 *2) (-12 (-5 *2 (-360)) (-5 *1 (-1183)))) + ((*1 *2) (-12 (-5 *2 (-360)) (-5 *1 (-1183))))) +(((*1 *2 *1 *2) (-12 (-5 *2 (-110)) (-5 *1 (-161)))) + ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-1182)))) + ((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-1183))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-530)) (-4 *1 (-55 *4 *3 *5)) (-4 *4 (-1135)) + (-4 *3 (-354 *4)) (-4 *5 (-354 *4))))) +(((*1 *2 *2 *1) + (-12 (-5 *2 (-1203 *3 *4)) (-4 *1 (-355 *3 *4)) (-4 *3 (-795)) + (-4 *4 (-162)))) + ((*1 *1 *1 *1) (|partial| -12 (-5 *1 (-367 *2)) (-4 *2 (-1027)))) + ((*1 *1 *1 *2) (|partial| -12 (-5 *1 (-767 *2)) (-4 *2 (-795)))) + ((*1 *1 *1 *1) (|partial| -12 (-5 *1 (-767 *2)) (-4 *2 (-795)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-1196 *2 *3)) (-4 *2 (-795)) (-4 *3 (-984)))) + ((*1 *1 *1 *2) + (-12 (-5 *2 (-767 *3)) (-4 *1 (-1196 *3 *4)) (-4 *3 (-795)) + (-4 *4 (-984)))) + ((*1 *1 *1 *2) + (-12 (-4 *1 (-1196 *2 *3)) (-4 *2 (-795)) (-4 *3 (-984))))) +(((*1 *2 *1 *3 *3) + (-12 (-5 *3 (-530)) (-4 *1 (-1141 *4)) (-4 *4 (-984)) (-4 *4 (-522)) + (-5 *2 (-388 (-893 *4))))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-530)) (-4 *1 (-1141 *4)) (-4 *4 (-984)) (-4 *4 (-522)) + (-5 *2 (-388 (-893 *4)))))) (((*1 *2 *1) - (|partial| -12 - (-4 *3 (-13 (-795) (-975 (-530)) (-593 (-530)) (-432))) - (-5 *2 - (-2 - (|:| |%term| - (-2 (|:| |%coef| (-1166 *4 *5 *6)) - (|:| |%expon| (-300 *4 *5 *6)) - (|:| |%expTerms| - (-597 (-2 (|:| |k| (-388 (-530))) (|:| |c| *4)))))) - (|:| |%type| (-1082)))) - (-5 *1 (-1167 *3 *4 *5 *6)) (-4 *4 (-13 (-27) (-1121) (-411 *3))) - (-14 *5 (-1099)) (-14 *6 *4)))) -(((*1 *2 *2) (-12 (-5 *2 (-597 (-1082))) (-5 *1 (-378))))) -(((*1 *2 *2) - (-12 (-5 *2 (-1181 *1)) (-4 *1 (-323 *3 *4 *5)) (-4 *3 (-1139)) - (-4 *4 (-1157 *3)) (-4 *5 (-1157 (-388 *4)))))) -(((*1 *2 *1) - (|partial| -12 (-4 *1 (-890 *3 *4 *2)) (-4 *3 (-984)) (-4 *4 (-741)) - (-4 *2 (-795)))) - ((*1 *2 *3) - (|partial| -12 (-4 *4 (-741)) (-4 *5 (-984)) (-4 *6 (-890 *5 *4 *2)) - (-4 *2 (-795)) (-5 *1 (-891 *4 *2 *5 *6 *3)) - (-4 *3 - (-13 (-344) - (-10 -8 (-15 -2235 ($ *6)) (-15 -1826 (*6 $)) - (-15 -1836 (*6 $))))))) - ((*1 *2 *3) - (|partial| -12 (-5 *3 (-388 (-893 *4))) (-4 *4 (-522)) - (-5 *2 (-1099)) (-5 *1 (-980 *4))))) -(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-556 *3)) (-4 *3 (-984)))) + (-12 (-4 *1 (-307 *3 *4)) (-4 *3 (-984)) (-4 *4 (-740)) + (-5 *2 (-719)))) ((*1 *2 *1) - (-12 (-4 *1 (-913 *3 *4 *5)) (-4 *3 (-984)) (-4 *4 (-740)) - (-4 *5 (-795)) (-5 *2 (-110))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) - (-4 *2 (-13 (-411 *3) (-941)))))) + (-12 (-4 *1 (-363 *3 *4)) (-4 *3 (-984)) (-4 *4 (-1027)) + (-5 *2 (-719)))) + ((*1 *2 *1) + (-12 (-5 *2 (-719)) (-5 *1 (-684 *3 *4)) (-4 *3 (-984)) + (-4 *4 (-675))))) (((*1 *2 *1 *1) (-12 (-4 *1 (-99)) (-5 *2 (-110)))) ((*1 *1 *1 *1) (-5 *1 (-804)))) (((*1 *1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1) (-4 *1 (-21))) @@ -11646,7 +11986,7 @@ (-4 *2 (-13 (-795) (-10 -8 (-15 -1808 ((-1082) $ (-1099))) (-15 -2256 ((-1186) $)) - (-15 -3958 ((-1186) $))))))) + (-15 -2510 ((-1186) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-276 *2)) (-4 *2 (-21)) (-4 *2 (-1135)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-276 *2)) (-4 *2 (-21)) (-4 *2 (-1135)))) ((*1 *1 *1 *1) @@ -11666,42 +12006,22 @@ ((*1 *2 *2 *2) (-12 (-5 *2 (-884 (-208))) (-5 *1 (-1132)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1179 *2)) (-4 *2 (-1135)) (-4 *2 (-21)))) ((*1 *1 *1) (-12 (-4 *1 (-1179 *2)) (-4 *2 (-1135)) (-4 *2 (-21))))) -(((*1 *2 *3 *3) (-12 (-5 *3 (-1082)) (-5 *2 (-110)) (-5 *1 (-777))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-208)) (-5 *4 (-530)) (-5 *2 (-973)) (-5 *1 (-707))))) -(((*1 *2 *3 *4 *3) - (-12 (-5 *3 (-530)) (-5 *4 (-637 (-208))) (-5 *2 (-973)) - (-5 *1 (-696))))) (((*1 *2 *3) - (-12 (-5 *3 (-981 *4 *5)) (-4 *4 (-13 (-793) (-289) (-140) (-960))) - (-14 *5 (-597 (-1099))) - (-5 *2 - (-597 (-2 (|:| -2847 (-1095 *4)) (|:| -1498 (-597 (-893 *4)))))) - (-5 *1 (-1205 *4 *5 *6)) (-14 *6 (-597 (-1099))))) - ((*1 *2 *3 *4 *4 *4) - (-12 (-5 *4 (-110)) (-4 *5 (-13 (-793) (-289) (-140) (-960))) - (-5 *2 - (-597 (-2 (|:| -2847 (-1095 *5)) (|:| -1498 (-597 (-893 *5)))))) - (-5 *1 (-1205 *5 *6 *7)) (-5 *3 (-597 (-893 *5))) - (-14 *6 (-597 (-1099))) (-14 *7 (-597 (-1099))))) - ((*1 *2 *3 *4 *4) - (-12 (-5 *4 (-110)) (-4 *5 (-13 (-793) (-289) (-140) (-960))) - (-5 *2 - (-597 (-2 (|:| -2847 (-1095 *5)) (|:| -1498 (-597 (-893 *5)))))) - (-5 *1 (-1205 *5 *6 *7)) (-5 *3 (-597 (-893 *5))) - (-14 *6 (-597 (-1099))) (-14 *7 (-597 (-1099))))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-110)) (-4 *5 (-13 (-793) (-289) (-140) (-960))) - (-5 *2 - (-597 (-2 (|:| -2847 (-1095 *5)) (|:| -1498 (-597 (-893 *5)))))) - (-5 *1 (-1205 *5 *6 *7)) (-5 *3 (-597 (-893 *5))) - (-14 *6 (-597 (-1099))) (-14 *7 (-597 (-1099))))) - ((*1 *2 *3) - (-12 (-4 *4 (-13 (-793) (-289) (-140) (-960))) - (-5 *2 - (-597 (-2 (|:| -2847 (-1095 *4)) (|:| -1498 (-597 (-893 *4)))))) - (-5 *1 (-1205 *4 *5 *6)) (-5 *3 (-597 (-893 *4))) - (-14 *5 (-597 (-1099))) (-14 *6 (-597 (-1099)))))) + (-12 (-4 *4 (-13 (-344) (-10 -8 (-15 ** ($ $ (-388 (-530))))))) + (-5 *2 (-597 *4)) (-5 *1 (-1054 *3 *4)) (-4 *3 (-1157 *4)))) + ((*1 *2 *3 *3 *3 *3) + (-12 (-4 *3 (-13 (-344) (-10 -8 (-15 ** ($ $ (-388 (-530))))))) + (-5 *2 (-597 *3)) (-5 *1 (-1054 *4 *3)) (-4 *4 (-1157 *3))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-208)) (-5 *1 (-209)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-159 (-208))) (-5 *1 (-209)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-412 *3 *2)) + (-4 *2 (-411 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1063)))) +(((*1 *2 *3 *4 *4 *4 *3 *4 *3) + (-12 (-5 *3 (-530)) (-5 *4 (-637 (-208))) (-5 *2 (-973)) + (-5 *1 (-700))))) +(((*1 *2) (-12 (-5 *2 (-530)) (-5 *1 (-867))))) (((*1 *1 *1) (-4 *1 (-93))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -11721,29 +12041,25 @@ (((*1 *2 *3 *4) (-12 (-5 *2 (-2 (|:| |part1| *3) (|:| |part2| *4))) (-5 *1 (-654 *3 *4)) (-4 *3 (-1135)) (-4 *4 (-1135))))) -(((*1 *1 *2) (-12 (-5 *2 (-388 (-530))) (-5 *1 (-466))))) -(((*1 *2 *1) - (-12 (-4 *1 (-310 *3)) (-4 *3 (-344)) (-4 *3 (-349)) (-5 *2 (-110)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1095 *4)) (-4 *4 (-330)) (-5 *2 (-110)) - (-5 *1 (-338 *4)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1181 *4)) (-4 *4 (-330)) (-5 *2 (-110)) - (-5 *1 (-500 *4))))) -(((*1 *2 *1) (-12 (-4 *1 (-348 *2)) (-4 *2 (-162))))) -(((*1 *2 *3 *4 *4 *4 *4) - (-12 (-5 *4 (-208)) - (-5 *2 - (-2 (|:| |brans| (-597 (-597 (-884 *4)))) - (|:| |xValues| (-1022 *4)) (|:| |yValues| (-1022 *4)))) - (-5 *1 (-146)) (-5 *3 (-597 (-597 (-884 *4))))))) +(((*1 *2 *2 *2 *2) + (-12 (-5 *2 (-637 *3)) (-4 *3 (-984)) (-5 *1 (-638 *3))))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-637 *4)) (-5 *3 (-862)) (-4 *4 (-984)) + (-5 *1 (-966 *4)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-597 (-637 *4))) (-5 *3 (-862)) (-4 *4 (-984)) + (-5 *1 (-966 *4))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-597 *1)) (|has| *1 (-6 -4271)) (-4 *1 (-949 *3)) + (-4 *3 (-1135))))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-833 *3)) (-4 *3 (-1027))))) (((*1 *1 *1 *1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-148))) ((*1 *1 *1 *1) (-12 (-5 *1 (-198 *2)) (-4 *2 (-13 (-795) (-10 -8 (-15 -1808 ((-1082) $ (-1099))) (-15 -2256 ((-1186) $)) - (-15 -3958 ((-1186) $))))))) + (-15 -2510 ((-1186) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-276 *2)) (-4 *2 (-25)) (-4 *2 (-1135)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-276 *2)) (-4 *2 (-25)) (-4 *2 (-1135)))) ((*1 *1 *2 *1) @@ -11766,19 +12082,18 @@ (-12 (-5 *2 (-1080 *3)) (-4 *3 (-984)) (-5 *1 (-1084 *3)))) ((*1 *2 *2 *2) (-12 (-5 *2 (-884 (-208))) (-5 *1 (-1132)))) ((*1 *1 *1 *1) (-12 (-4 *1 (-1179 *2)) (-4 *2 (-1135)) (-4 *2 (-25))))) -(((*1 *2 *3 *3 *1) - (-12 (-4 *4 (-432)) (-4 *5 (-741)) (-4 *6 (-795)) - (-4 *3 (-998 *4 *5 *6)) (-5 *2 (-3 *3 (-597 *1))) - (-4 *1 (-1003 *4 *5 *6 *3))))) -(((*1 *2 *3) (-12 (-5 *3 (-597 *2)) (-5 *1 (-1110 *2)) (-4 *2 (-344))))) -(((*1 *2 *3) - (|partial| -12 (-4 *5 (-975 (-47))) - (-4 *4 (-13 (-522) (-795) (-975 (-530)))) (-4 *5 (-411 *4)) - (-5 *2 (-399 (-1095 (-47)))) (-5 *1 (-416 *4 *5 *3)) - (-4 *3 (-1157 *5))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1060 *3)) (-4 *3 (-984)) - (-5 *2 (-597 (-597 (-597 (-884 *3)))))))) +(((*1 *2 *1 *1) + (-12 (-4 *1 (-221 *3 *2)) (-4 *2 (-1135)) (-4 *2 (-984)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-719)) (-5 *1 (-804)))) + ((*1 *1 *1) (-5 *1 (-804))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-884 (-208))) (-5 *2 (-208)) (-5 *1 (-1132)))) + ((*1 *2 *1 *1) + (-12 (-4 *1 (-1179 *2)) (-4 *2 (-1135)) (-4 *2 (-984))))) +(((*1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-1184))))) +(((*1 *2 *3 *3 *3 *4 *4 *3) + (-12 (-5 *3 (-530)) (-5 *4 (-637 (-208))) (-5 *2 (-973)) + (-5 *1 (-704))))) (((*1 *1 *1) (-4 *1 (-93))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -11795,48 +12110,41 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-530)) (-5 *1 (-399 *3)) (-4 *3 (-522))))) -(((*1 *2) - (-12 (-5 *2 (-862)) (-5 *1 (-422 *3)) (-4 *3 (-1157 (-530))))) - ((*1 *2 *2) - (-12 (-5 *2 (-862)) (-5 *1 (-422 *3)) (-4 *3 (-1157 (-530)))))) -(((*1 *2) - (-12 (-4 *4 (-162)) (-5 *2 (-110)) (-5 *1 (-347 *3 *4)) - (-4 *3 (-348 *4)))) - ((*1 *2) (-12 (-4 *1 (-348 *3)) (-4 *3 (-162)) (-5 *2 (-110))))) -(((*1 *2 *3 *3 *3 *4 *4 *5 *5 *5 *3 *5 *5 *3 *6 *3 *3 *3) - (-12 (-5 *5 (-637 (-208))) (-5 *6 (-637 (-530))) (-5 *3 (-530)) - (-5 *4 (-208)) (-5 *2 (-973)) (-5 *1 (-701))))) -(((*1 *1 *2) - (-12 (-5 *2 (-394 *3 *4 *5 *6)) (-4 *6 (-975 *4)) (-4 *3 (-289)) - (-4 *4 (-932 *3)) (-4 *5 (-1157 *4)) (-4 *6 (-390 *4 *5)) - (-14 *7 (-1181 *6)) (-5 *1 (-395 *3 *4 *5 *6 *7)))) - ((*1 *1 *2) - (-12 (-5 *2 (-1181 *6)) (-4 *6 (-390 *4 *5)) (-4 *4 (-932 *3)) - (-4 *5 (-1157 *4)) (-4 *3 (-289)) (-5 *1 (-395 *3 *4 *5 *6 *7)) - (-14 *7 *2)))) -(((*1 *2 *1) - (-12 (-4 *3 (-216)) (-4 *3 (-984)) (-4 *4 (-795)) (-4 *5 (-248 *4)) - (-4 *6 (-741)) (-5 *2 (-1 *1 (-719))) (-4 *1 (-235 *3 *4 *5 *6)))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-719)) (-5 *5 (-597 *3)) (-4 *3 (-289)) (-4 *6 (-795)) + (-4 *7 (-741)) (-5 *2 (-110)) (-5 *1 (-580 *6 *7 *3 *8)) + (-4 *8 (-890 *3 *7 *6))))) +(((*1 *1 *1 *2 *1) (-12 (-5 *1 (-125 *2)) (-4 *2 (-1027)))) + ((*1 *1 *2) (-12 (-5 *1 (-125 *2)) (-4 *2 (-1027))))) +(((*1 *2 *2) (-12 (-5 *2 (-530)) (-5 *1 (-527))))) +(((*1 *1) (-5 *1 (-134)))) +(((*1 *2 *3) + (-12 (-4 *4 (-850)) (-4 *5 (-741)) (-4 *6 (-795)) + (-4 *7 (-890 *4 *5 *6)) (-5 *2 (-399 (-1095 *7))) + (-5 *1 (-847 *4 *5 *6 *7)) (-5 *3 (-1095 *7)))) ((*1 *2 *3) - (-12 (-4 *4 (-984)) (-4 *3 (-795)) (-4 *5 (-248 *3)) (-4 *6 (-741)) - (-5 *2 (-1 *1 (-719))) (-4 *1 (-235 *4 *3 *5 *6)))) - ((*1 *1 *2 *3) (-12 (-5 *3 (-719)) (-4 *1 (-248 *2)) (-4 *2 (-795))))) -(((*1 *2 *2) - (-12 (-4 *3 (-13 (-522) (-795) (-975 (-530)))) (-5 *1 (-172 *3 *2)) - (-4 *2 (-13 (-27) (-1121) (-411 (-159 *3)))))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-1099)) (-4 *4 (-13 (-522) (-795) (-975 (-530)))) - (-5 *1 (-172 *4 *2)) (-4 *2 (-13 (-27) (-1121) (-411 (-159 *4)))))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-432) (-795) (-975 (-530)) (-593 (-530)))) - (-5 *1 (-1125 *3 *2)) (-4 *2 (-13 (-27) (-1121) (-411 *3))))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-1099)) - (-4 *4 (-13 (-432) (-795) (-975 (-530)) (-593 (-530)))) - (-5 *1 (-1125 *4 *2)) (-4 *2 (-13 (-27) (-1121) (-411 *4)))))) + (-12 (-4 *4 (-850)) (-4 *5 (-1157 *4)) (-5 *2 (-399 (-1095 *5))) + (-5 *1 (-848 *4 *5)) (-5 *3 (-1095 *5))))) (((*1 *2 *2) - (|partial| -12 (-5 *2 (-1095 *3)) (-4 *3 (-330)) (-5 *1 (-338 *3))))) + (-12 (-4 *3 (-13 (-795) (-432))) (-5 *1 (-1127 *3 *2)) + (-4 *2 (-13 (-411 *3) (-1121)))))) +(((*1 *2) + (|partial| -12 (-4 *3 (-522)) (-4 *3 (-162)) + (-5 *2 (-2 (|:| |particular| *1) (|:| -3386 (-597 *1)))) + (-4 *1 (-348 *3)))) + ((*1 *2) + (|partial| -12 + (-5 *2 + (-2 (|:| |particular| (-433 *3 *4 *5 *6)) + (|:| -3386 (-597 (-433 *3 *4 *5 *6))))) + (-5 *1 (-433 *3 *4 *5 *6)) (-4 *3 (-162)) (-14 *4 (-862)) + (-14 *5 (-597 (-1099))) (-14 *6 (-1181 (-637 *3)))))) +(((*1 *2 *1 *2) (-12 (-5 *2 (-597 (-1082))) (-5 *1 (-375)))) + ((*1 *2 *1 *2) (-12 (-5 *2 (-597 (-1082))) (-5 *1 (-1116))))) +(((*1 *2 *3) + (-12 (-5 *2 (-110)) (-5 *1 (-118 *3)) (-4 *3 (-1157 (-530))))) + ((*1 *2 *3 *2) + (-12 (-5 *2 (-110)) (-5 *1 (-118 *3)) (-4 *3 (-1157 (-530)))))) (((*1 *1 *1) (-4 *1 (-93))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -11853,41 +12161,53 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *3 *4) - (-12 (-4 *5 (-344)) (-4 *5 (-522)) - (-5 *2 - (-2 (|:| |minor| (-597 (-862))) (|:| -2587 *3) - (|:| |minors| (-597 (-597 (-862)))) (|:| |ops| (-597 *3)))) - (-5 *1 (-88 *5 *3)) (-5 *4 (-862)) (-4 *3 (-607 *5))))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-1157 *2)) (-4 *2 (-984)) (-4 *2 (-522))))) -(((*1 *2 *1) (-12 (-4 *1 (-330)) (-5 *2 (-719)))) - ((*1 *2 *1 *1) (|partial| -12 (-4 *1 (-383)) (-5 *2 (-719))))) -(((*1 *2 *2 *3) - (-12 (-5 *3 (-597 *2)) (-4 *2 (-515)) (-5 *1 (-150 *2))))) -(((*1 *2 *1) - (-12 (-5 *2 (-597 (-2 (|:| |k| (-1099)) (|:| |c| (-1201 *3))))) - (-5 *1 (-1201 *3)) (-4 *3 (-984)))) - ((*1 *2 *1) - (-12 (-5 *2 (-597 (-2 (|:| |k| *3) (|:| |c| (-1203 *3 *4))))) - (-5 *1 (-1203 *3 *4)) (-4 *3 (-795)) (-4 *4 (-984))))) -(((*1 *1 *2) (-12 (-5 *2 (-597 *3)) (-4 *3 (-1135)) (-4 *1 (-104 *3))))) +(((*1 *1 *1) + (|partial| -12 (-5 *1 (-276 *2)) (-4 *2 (-675)) (-4 *2 (-1135))))) +(((*1 *2 *1 *1 *3 *4) + (-12 (-5 *3 (-1 (-110) *5 *5)) (-5 *4 (-1 (-110) *6 *6)) + (-4 *5 (-13 (-1027) (-33))) (-4 *6 (-13 (-1027) (-33))) + (-5 *2 (-110)) (-5 *1 (-1064 *5 *6))))) +(((*1 *2 *3 *3 *3 *3 *3 *4 *4 *4 *5) + (-12 (-5 *3 (-208)) (-5 *4 (-530)) + (-5 *5 (-3 (|:| |fn| (-369)) (|:| |fp| (-62 G)))) (-5 *2 (-973)) + (-5 *1 (-697))))) (((*1 *2 *2) - (-12 (-5 *2 (-597 (-2 (|:| |val| (-597 *6)) (|:| -2321 *7)))) - (-4 *6 (-998 *3 *4 *5)) (-4 *7 (-1003 *3 *4 *5 *6)) (-4 *3 (-432)) - (-4 *4 (-741)) (-4 *5 (-795)) (-5 *1 (-928 *3 *4 *5 *6 *7)))) - ((*1 *2 *2) - (-12 (-5 *2 (-597 (-2 (|:| |val| (-597 *6)) (|:| -2321 *7)))) - (-4 *6 (-998 *3 *4 *5)) (-4 *7 (-1003 *3 *4 *5 *6)) (-4 *3 (-432)) - (-4 *4 (-741)) (-4 *5 (-795)) (-5 *1 (-1034 *3 *4 *5 *6 *7))))) -(((*1 *2 *3) - (-12 (-5 *3 (-597 (-297 (-208)))) (-5 *2 (-110)) (-5 *1 (-249)))) - ((*1 *2 *3) (-12 (-5 *3 (-297 (-208))) (-5 *2 (-110)) (-5 *1 (-249)))) - ((*1 *2 *3) - (-12 (-4 *4 (-522)) (-4 *5 (-741)) (-4 *6 (-795)) (-5 *2 (-110)) - (-5 *1 (-917 *4 *5 *6 *3)) (-4 *3 (-998 *4 *5 *6))))) + (|partial| -12 (-4 *3 (-1135)) (-5 *1 (-170 *3 *2)) + (-4 *2 (-624 *3))))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-1104))))) (((*1 *2 *3) - (|partial| -12 (-5 *3 (-637 (-388 (-893 (-530))))) - (-5 *2 (-637 (-297 (-530)))) (-5 *1 (-969))))) + (-12 + (-5 *3 + (-2 + (|:| |endPointContinuity| + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| + "There are singularities at both end points") + (|:| |notEvaluated| + "End point continuity not yet evaluated"))) + (|:| |singularitiesStream| + (-3 (|:| |str| (-1080 (-208))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -3723 + (-3 (|:| |finite| "The range is finite") + (|:| |lowerInfinite| "The bottom of range is infinite") + (|:| |upperInfinite| "The top of range is infinite") + (|:| |bothInfinite| + "Both top and bottom points are infinite") + (|:| |notEvaluated| "Range not yet evaluated"))))) + (-5 *2 (-973)) (-5 *1 (-287))))) +(((*1 *1 *1 *2) + (|partial| -12 (-5 *2 (-862)) (-5 *1 (-1028 *3 *4)) (-14 *3 *2) + (-14 *4 *2)))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-907 *3)) (-4 *3 (-908))))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-719)) (-5 *1 (-731 *2)) (-4 *2 (-37 (-388 (-530)))) + (-4 *2 (-162))))) (((*1 *1 *1) (-4 *1 (-93))) ((*1 *1 *1 *1) (-5 *1 (-208))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -11908,32 +12228,29 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) +(((*1 *2 *3 *3 *2) + (-12 (-5 *2 (-1080 *4)) (-5 *3 (-530)) (-4 *4 (-984)) + (-5 *1 (-1084 *4)))) + ((*1 *1 *2 *2 *1) + (-12 (-5 *2 (-530)) (-5 *1 (-1173 *3 *4 *5)) (-4 *3 (-984)) + (-14 *4 (-1099)) (-14 *5 *3)))) (((*1 *2 *1) - (-12 (-4 *3 (-432)) (-4 *4 (-795)) (-4 *5 (-741)) (-5 *2 (-597 *6)) - (-5 *1 (-927 *3 *4 *5 *6)) (-4 *6 (-890 *3 *5 *4))))) -(((*1 *2 *3 *4 *4 *4 *4) - (-12 (-5 *3 (-637 (-208))) (-5 *4 (-530)) (-5 *2 (-973)) - (-5 *1 (-704))))) -(((*1 *2) (-12 (-5 *2 (-597 (-862))) (-5 *1 (-1184)))) - ((*1 *2 *2) (-12 (-5 *2 (-597 (-862))) (-5 *1 (-1184))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1157 *3)) (-4 *3 (-984)) (-5 *2 (-1095 *3))))) + (-12 (-4 *2 (-13 (-793) (-344))) (-5 *1 (-994 *2 *3)) + (-4 *3 (-1157 *2))))) +(((*1 *2 *3 *1) (-12 (-5 *3 (-1099)) (-5 *2 (-418)) (-5 *1 (-1103))))) +(((*1 *2) + (-12 + (-5 *2 (-2 (|:| -4059 (-597 (-1099))) (|:| -1789 (-597 (-1099))))) + (-5 *1 (-1137))))) +(((*1 *2 *3) + (-12 (-4 *4 (-1157 (-388 *2))) (-5 *2 (-530)) (-5 *1 (-854 *4 *3)) + (-4 *3 (-1157 (-388 *4)))))) (((*1 *2 *1 *1) (-12 (-4 *1 (-795)) (-5 *2 (-110)))) ((*1 *1 *1 *1) (-5 *1 (-804)))) -(((*1 *2 *3 *4 *5 *6 *3 *3 *3 *3 *6 *3 *7 *8) - (-12 (-5 *3 (-530)) (-5 *4 (-637 (-208))) (-5 *5 (-110)) - (-5 *6 (-208)) (-5 *7 (-3 (|:| |fn| (-369)) (|:| |fp| (-66 APROD)))) - (-5 *8 (-3 (|:| |fn| (-369)) (|:| |fp| (-71 MSOLVE)))) - (-5 *2 (-973)) (-5 *1 (-705))))) -(((*1 *2 *3 *4 *5 *6) - (-12 (-5 *5 (-1 (-547 *3) *3 (-1099))) - (-5 *6 - (-1 (-3 (-2 (|:| |special| *3) (|:| |integrand| *3)) "failed") *3 - (-1099))) - (-4 *3 (-266)) (-4 *3 (-583)) (-4 *3 (-975 *4)) (-4 *3 (-411 *7)) - (-5 *4 (-1099)) (-4 *7 (-572 (-833 (-530)))) (-4 *7 (-432)) - (-4 *7 (-827 (-530))) (-4 *7 (-795)) (-5 *2 (-547 *3)) - (-5 *1 (-539 *7 *3))))) +(((*1 *2 *1) + (-12 (-4 *3 (-344)) (-4 *4 (-1157 *3)) (-4 *5 (-1157 (-388 *4))) + (-5 *2 (-1181 *6)) (-5 *1 (-317 *3 *4 *5 *6)) + (-4 *6 (-323 *3 *4 *5))))) (((*1 *1 *1) (-4 *1 (-93))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -11953,11 +12270,17 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) -(((*1 *2 *3 *3 *2 *4) - (-12 (-5 *3 (-637 *2)) (-5 *4 (-530)) - (-4 *2 (-13 (-289) (-10 -8 (-15 -3488 ((-399 $) $))))) - (-4 *5 (-1157 *2)) (-5 *1 (-477 *2 *5 *6)) (-4 *6 (-390 *2 *5))))) -(((*1 *1) (-12 (-4 *1 (-310 *2)) (-4 *2 (-349)) (-4 *2 (-344))))) +(((*1 *2 *1 *1) + (-12 (-5 *2 (-597 (-276 *4))) (-5 *1 (-581 *3 *4 *5)) (-4 *3 (-795)) + (-4 *4 (-13 (-162) (-666 (-388 (-530))))) (-14 *5 (-862))))) +(((*1 *2 *3 *4 *5 *5 *6) + (-12 (-5 *4 (-1099)) (-5 *6 (-110)) + (-4 *7 (-13 (-289) (-795) (-140) (-975 (-530)) (-593 (-530)))) + (-4 *3 (-13 (-1121) (-900) (-29 *7))) + (-5 *2 + (-3 (|:| |f1| (-788 *3)) (|:| |f2| (-597 (-788 *3))) + (|:| |fail| "failed") (|:| |pole| "potentialPole"))) + (-5 *1 (-202 *7 *3)) (-5 *5 (-788 *3))))) (((*1 *2 *1) (-12 (-5 *2 (-719)) (-5 *1 (-132 *3 *4 *5)) (-14 *3 (-530)) (-14 *4 *2) (-4 *5 (-162)))) @@ -11989,39 +12312,37 @@ (-12 (-4 *1 (-987 *3 *4 *5 *6 *7)) (-4 *5 (-984)) (-4 *6 (-221 *4 *5)) (-4 *7 (-221 *3 *5)) (-4 *5 (-522)) (-5 *2 (-719))))) -(((*1 *2 *3) - (-12 (-4 *1 (-861)) (-5 *2 (-2 (|:| -1963 (-597 *1)) (|:| -1879 *1))) - (-5 *3 (-597 *1))))) +(((*1 *2 *2 *2) (-12 (-5 *2 (-208)) (-5 *1 (-209)))) + ((*1 *2 *2 *2) (-12 (-5 *2 (-159 (-208))) (-5 *1 (-209)))) + ((*1 *2 *2 *2) + (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-412 *3 *2)) + (-4 *2 (-411 *3)))) + ((*1 *1 *1 *1) (-4 *1 (-1063)))) +(((*1 *2 *2 *3) + (|partial| -12 (-5 *2 (-597 (-1095 *4))) (-5 *3 (-1095 *4)) + (-4 *4 (-850)) (-5 *1 (-614 *4))))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-432)) (-4 *6 (-741)) (-4 *7 (-795)) + (-4 *3 (-998 *5 *6 *7)) + (-5 *2 (-597 (-2 (|:| |val| (-110)) (|:| -2321 *4)))) + (-5 *1 (-724 *5 *6 *7 *3 *4)) (-4 *4 (-1003 *5 *6 *7 *3))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) - (-4 *2 (-13 (-411 *3) (-941)))))) -(((*1 *1) (-4 *1 (-33))) ((*1 *1) (-5 *1 (-273))) - ((*1 *1) (-5 *1 (-804))) - ((*1 *1) - (-12 (-4 *2 (-432)) (-4 *3 (-795)) (-4 *4 (-741)) - (-5 *1 (-927 *2 *3 *4 *5)) (-4 *5 (-890 *2 *4 *3)))) - ((*1 *1) (-5 *1 (-1014))) - ((*1 *1) - (-12 (-5 *1 (-1064 *2 *3)) (-4 *2 (-13 (-1027) (-33))) - (-4 *3 (-13 (-1027) (-33))))) - ((*1 *1) (-5 *1 (-1102))) ((*1 *1) (-5 *1 (-1103)))) + (-12 (-4 *3 (-13 (-795) (-432))) (-5 *1 (-1127 *3 *2)) + (-4 *2 (-13 (-411 *3) (-1121)))))) +(((*1 *1 *2) + (-12 (-5 *2 (-597 (-846 *3))) (-4 *3 (-1027)) (-5 *1 (-845 *3))))) (((*1 *2 *1 *1) (-12 (-4 *1 (-795)) (-5 *2 (-110)))) ((*1 *1 *1 *1) (-5 *1 (-804))) ((*1 *2 *1 *1) (-12 (-5 *2 (-110)) (-5 *1 (-845 *3)) (-4 *3 (-1027))))) -(((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-770))))) -(((*1 *1 *1 *2) (-12 (-4 *1 (-669)) (-5 *2 (-862)))) - ((*1 *1 *1 *2) (-12 (-4 *1 (-671)) (-5 *2 (-719))))) -(((*1 *2 *1) (-12 (-4 *1 (-624 *3)) (-4 *3 (-1135)) (-5 *2 (-110))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-276 (-388 (-893 *5)))) (-5 *4 (-1099)) - (-4 *5 (-13 (-289) (-795) (-140))) - (-5 *2 (-1089 (-597 (-297 *5)) (-597 (-276 (-297 *5))))) - (-5 *1 (-1055 *5)))) +(((*1 *2 *3) + (-12 (-5 *3 (-208)) (-5 *2 (-110)) (-5 *1 (-281 *4 *5)) (-14 *4 *3) + (-14 *5 *3))) ((*1 *2 *3 *4) - (-12 (-5 *3 (-388 (-893 *5))) (-5 *4 (-1099)) - (-4 *5 (-13 (-289) (-795) (-140))) - (-5 *2 (-1089 (-597 (-297 *5)) (-597 (-276 (-297 *5))))) - (-5 *1 (-1055 *5))))) + (-12 (-5 *4 (-1022 (-788 (-208)))) (-5 *3 (-208)) (-5 *2 (-110)) + (-5 *1 (-287)))) + ((*1 *2 *1 *1) + (-12 (-4 *3 (-344)) (-4 *4 (-741)) (-4 *5 (-795)) (-5 *2 (-110)) + (-5 *1 (-482 *3 *4 *5 *6)) (-4 *6 (-890 *3 *4 *5))))) (((*1 *1 *1) (-4 *1 (-93))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) @@ -12041,60 +12362,46 @@ ((*1 *2 *2) (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-412 *3 *2)) + (-4 *2 (-411 *3))))) (((*1 *2 *3 *2) - (-12 (-5 *3 (-597 (-1006 *4 *5 *2))) (-4 *4 (-1027)) - (-4 *5 (-13 (-984) (-827 *4) (-795) (-572 (-833 *4)))) - (-4 *2 (-13 (-411 *5) (-827 *4) (-572 (-833 *4)))) - (-5 *1 (-53 *4 *5 *2)))) - ((*1 *2 *3 *2 *4) - (-12 (-5 *3 (-597 (-1006 *5 *6 *2))) (-5 *4 (-862)) (-4 *5 (-1027)) - (-4 *6 (-13 (-984) (-827 *5) (-795) (-572 (-833 *5)))) - (-4 *2 (-13 (-411 *6) (-827 *5) (-572 (-833 *5)))) - (-5 *1 (-53 *5 *6 *2))))) -(((*1 *1) (-5 *1 (-134))) ((*1 *1 *1) (-5 *1 (-137))) - ((*1 *1 *1) (-4 *1 (-1068)))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-923 *2)) (-4 *2 (-1121))))) -(((*1 *2 *3 *3 *3 *4 *5 *4 *6) - (-12 (-5 *3 (-297 (-530))) (-5 *4 (-1 (-208) (-208))) - (-5 *5 (-1022 (-208))) (-5 *6 (-530)) (-5 *2 (-1131 (-867))) - (-5 *1 (-299)))) - ((*1 *2 *3 *3 *3 *4 *5 *4 *6 *7) - (-12 (-5 *3 (-297 (-530))) (-5 *4 (-1 (-208) (-208))) - (-5 *5 (-1022 (-208))) (-5 *6 (-530)) (-5 *7 (-1082)) - (-5 *2 (-1131 (-867))) (-5 *1 (-299)))) - ((*1 *2 *3 *3 *3 *4 *5 *6 *7) - (-12 (-5 *3 (-297 (-530))) (-5 *4 (-1 (-208) (-208))) - (-5 *5 (-1022 (-208))) (-5 *6 (-208)) (-5 *7 (-530)) - (-5 *2 (-1131 (-867))) (-5 *1 (-299)))) - ((*1 *2 *3 *3 *3 *4 *5 *6 *7 *8) - (-12 (-5 *3 (-297 (-530))) (-5 *4 (-1 (-208) (-208))) - (-5 *5 (-1022 (-208))) (-5 *6 (-208)) (-5 *7 (-530)) (-5 *8 (-1082)) - (-5 *2 (-1131 (-867))) (-5 *1 (-299))))) + (-12 (-5 *2 (-597 *3)) (-4 *3 (-289)) (-5 *1 (-168 *3))))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-637 *4)) (-5 *3 (-862)) (|has| *4 (-6 (-4272 "*"))) + (-4 *4 (-984)) (-5 *1 (-966 *4)))) + ((*1 *2 *2 *3) + (-12 (-5 *2 (-597 (-637 *4))) (-5 *3 (-862)) + (|has| *4 (-6 (-4272 "*"))) (-4 *4 (-984)) (-5 *1 (-966 *4))))) +(((*1 *2 *1) (-12 (-5 *2 (-110)) (-5 *1 (-833 *3)) (-4 *3 (-1027))))) +(((*1 *1 *2) + (-12 (-5 *2 (-1 *3 *3 (-530))) (-4 *3 (-984)) (-5 *1 (-96 *3)))) + ((*1 *1 *2 *2) + (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-984)) (-5 *1 (-96 *3)))) + ((*1 *1 *2) (-12 (-5 *2 (-1 *3 *3)) (-4 *3 (-984)) (-5 *1 (-96 *3))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-597 *1)) (-5 *3 (-597 *7)) (-4 *1 (-1003 *4 *5 *6 *7)) + (-4 *4 (-432)) (-4 *5 (-741)) (-4 *6 (-795)) + (-4 *7 (-998 *4 *5 *6)))) + ((*1 *2 *3 *1) + (-12 (-5 *3 (-597 *7)) (-4 *7 (-998 *4 *5 *6)) (-4 *4 (-432)) + (-4 *5 (-741)) (-4 *6 (-795)) (-5 *2 (-597 *1)) + (-4 *1 (-1003 *4 *5 *6 *7)))) + ((*1 *2 *3 *2) + (-12 (-5 *2 (-597 *1)) (-4 *1 (-1003 *4 *5 *6 *3)) (-4 *4 (-432)) + (-4 *5 (-741)) (-4 *6 (-795)) (-4 *3 (-998 *4 *5 *6)))) + ((*1 *2 *3 *1) + (-12 (-4 *4 (-432)) (-4 *5 (-741)) (-4 *6 (-795)) + (-4 *3 (-998 *4 *5 *6)) (-5 *2 (-597 *1)) + (-4 *1 (-1003 *4 *5 *6 *3))))) +(((*1 *2 *3) + (-12 (-5 *3 |RationalNumber|) (-5 *2 (-1 (-530))) (-5 *1 (-982))))) (((*1 *2 *3 *2) (-12 (-5 *3 (-862)) (-5 *1 (-968 *2)) (-4 *2 (-13 (-1027) (-10 -8 (-15 -2211 ($ $ $)))))))) (((*1 *2 *1 *1) (-12 (-4 *1 (-795)) (-5 *2 (-110)))) ((*1 *1 *1 *1) (-5 *1 (-804)))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-769)) (-5 *4 (-51)) (-5 *2 (-1186)) (-5 *1 (-779))))) -(((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-110) *3)) (|has| *1 (-6 -4270)) (-4 *1 (-144 *3)) - (-4 *3 (-1135)))) - ((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-110) *3)) (-4 *3 (-1135)) (-5 *1 (-560 *3)))) - ((*1 *1 *2 *1) - (-12 (-5 *2 (-1 (-110) *3)) (-4 *1 (-624 *3)) (-4 *3 (-1135)))) - ((*1 *2 *1 *3) - (|partial| -12 (-4 *1 (-1129 *4 *5 *3 *2)) (-4 *4 (-522)) - (-4 *5 (-741)) (-4 *3 (-795)) (-4 *2 (-998 *4 *5 *3)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-719)) (-5 *1 (-1133 *2)) (-4 *2 (-1135))))) -(((*1 *2 *1) - (-12 (-4 *1 (-520 *3)) (-4 *3 (-13 (-385) (-1121))) (-5 *2 (-110)))) - ((*1 *2 *1) (-12 (-4 *1 (-793)) (-5 *2 (-110)))) - ((*1 *2 *3 *1) - (-12 (-4 *1 (-1000 *4 *3)) (-4 *4 (-13 (-793) (-344))) - (-4 *3 (-1157 *4)) (-5 *2 (-110))))) +(((*1 *2 *2) (-12 (-5 *1 (-902 *2)) (-4 *2 (-515))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-795) (-522))) (-5 *1 (-258 *3 *2)) (-4 *2 (-13 (-411 *3) (-941))))) @@ -12111,22 +12418,97 @@ (-12 (-5 *2 (-1080 *3)) (-4 *3 (-37 (-388 (-530)))) (-5 *1 (-1086 *3)))) ((*1 *1 *1) 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"failed") *7)) - (-5 *6 (-597 (-388 *8))) (-4 *7 (-344)) (-4 *8 (-1157 *7)) - (-5 *3 (-388 *8)) - (-5 *2 - (-2 - (|:| |answer| - (-2 (|:| |mainpart| *3) - (|:| |limitedlogs| - (-597 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) - (|:| |a0| *7))) - (-5 *1 (-540 *7 *8))))) +(((*1 *2 *1) (-12 (-5 *2 (-1186)) (-5 *1 (-770))))) (((*1 *2 *3 *4) (-12 (-5 *4 (-862)) (-4 *6 (-13 (-522) (-795))) (-5 *2 (-597 (-297 *6))) (-5 *1 (-204 *5 *6)) (-5 *3 (-297 *6)) @@ -12286,25 +12644,8 @@ (-12 (-5 *2 (-1194 *3 *4)) (-5 *1 (-1203 *3 *4)) (-4 *3 (-795)) (-4 *4 (-984))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-846 (-530))) (-5 *4 (-530)) (-5 *2 (-637 *4)) - (-5 *1 (-966 *5)) (-4 *5 (-984)))) - ((*1 *2 *3) - (-12 (-5 *3 (-597 (-530))) (-5 *2 (-637 (-530))) (-5 *1 (-966 *4)) - (-4 *4 (-984)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-597 (-846 (-530)))) (-5 *4 (-530)) - (-5 *2 (-597 (-637 *4))) (-5 *1 (-966 *5)) (-4 *5 (-984)))) - ((*1 *2 *3) - (-12 (-5 *3 (-597 (-597 (-530)))) (-5 *2 (-597 (-637 (-530)))) - (-5 *1 (-966 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*3 (-289)) (-5 *1 (-435 *3 *2)) (-4 *2 (-1157 *3)))) + ((*1 *2 *2 *3) + (-12 (-4 *3 (-289)) (-5 *1 (-440 *3 *2)) (-4 *2 (-1157 *3)))) + ((*1 *2 *2 *3) + (-12 (-4 *3 (-289)) (-14 *4 *3) (-14 *5 (-1 *3 *3 (-719))) + (-5 *1 (-509 *3 *2 *4 *5)) (-4 *2 (-1157 *3))))) +(((*1 *1 *2) (-12 (-5 *2 (-597 (-137))) (-5 *1 (-134)))) + ((*1 *1 *2) (-12 (-5 *2 (-1082)) (-5 *1 (-134))))) (((*1 *2 *1 *3 *3 *2) (-12 (-5 *3 (-530)) (-4 *1 (-55 *2 *4 *5)) (-4 *2 (-1135)) (-4 *4 (-354 *2)) (-4 *5 (-354 *2)))) @@ -14203,13 +14241,13 @@ (-4 *4 (-13 (-795) (-10 -8 (-15 -1808 ((-1082) $ *3)) (-15 -2256 ((-1186) $)) - (-15 -3958 ((-1186) $))))))) + (-15 -2510 ((-1186) $))))))) ((*1 *1 *1 *2) (-12 (-5 *2 (-929)) (-5 *1 (-198 *3)) (-4 *3 (-13 (-795) (-10 -8 (-15 -1808 ((-1082) $ (-1099))) (-15 -2256 ((-1186) $)) - (-15 -3958 ((-1186) $))))))) + (-15 -2510 ((-1186) $))))))) ((*1 *2 *1 *3) (-12 (-5 *3 "count") (-5 *2 (-719)) (-5 *1 (-228 *4)) (-4 *4 (-795)))) ((*1 *1 *1 *2) (-12 (-5 *2 "sort") (-5 *1 (-228 *3)) (-4 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(-1143 *3 *4)) (-4 *3 (-984)) (-4 *4 (-1172 *3)) - (-5 *2 (-530)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1164 *3 *4)) (-4 *3 (-984)) (-4 *4 (-1141 *3)) - (-5 *2 (-388 (-530))))) - ((*1 *2 *1) - (-12 (-4 *1 (-1198 *3)) (-4 *3 (-344)) (-5 *2 (-781 (-862))))) - ((*1 *2 *1) - (-12 (-4 *1 (-1200 *3 *4)) (-4 *3 (-795)) (-4 *4 (-984)) - (-5 *2 (-719))))) -(((*1 *1 *2 *3) (-12 (-5 *3 (-530)) (-5 *1 (-399 *2)) (-4 *2 (-522))))) +(((*1 *2 *2) (-12 (-5 *2 (-530)) (-5 *1 (-527))))) +(((*1 *2 *1) + (-12 (-4 *1 (-998 *3 *4 *5)) (-4 *3 (-984)) (-4 *4 (-741)) + (-4 *5 (-795)) (-5 *2 (-110))))) +(((*1 *2 *2) (-12 (-5 *2 (-530)) (-5 *1 (-239))))) (((*1 *2) (-12 (-5 *2 (-1186)) (-5 *1 (-1013 *3)) (-4 *3 (-129))))) (((*1 *2 *1) (-12 @@ -14364,13 +14355,13 @@ (-2 (|:| |switch| (-1098)) (|:| |thenClause| (-311)) (|:| |elseClause| (-311)))) (|:| |returnBranch| - (-2 (|:| -1640 (-110)) + (-2 (|:| -1740 (-110)) (|:| -3359 (-2 (|:| |ints2Floats?| (-110)) (|:| -3949 (-804)))))) (|:| |blockBranch| (-597 (-311))) (|:| |commentBranch| (-597 (-1082))) (|:| |callBranch| (-1082)) (|:| |forBranch| - (-2 (|:| -3527 (-1020 (-893 (-530)))) + (-2 (|:| -3723 (-1020 (-893 (-530)))) (|:| |span| (-893 (-530))) (|:| -3902 (-311)))) (|:| |labelBranch| (-1046)) (|:| |loopBranch| (-2 (|:| |switch| (-1098)) (|:| -3902 (-311)))) @@ -14378,175 +14369,92 @@ (-2 (|:| -3890 (-1099)) (|:| |contents| (-597 (-1099))))) (|:| |printBranch| (-597 (-804))))) (-5 *1 (-311))))) -(((*1 *2 *1) (-12 (-4 *1 (-370)) (-5 *2 (-110))))) -(((*1 *2 *3) (-12 (-5 *3 (-1082)) (-5 *2 (-360)) (-5 *1 (-94)))) - ((*1 *2 *3 *3) (-12 (-5 *3 (-1082)) (-5 *2 (-360)) (-5 *1 (-94))))) -(((*1 *2 *3 *3 *3 *4 *5) - (-12 (-5 *5 (-1 *3 *3)) (-4 *3 (-1157 *6)) - (-4 *6 (-13 (-344) (-140) (-975 *4))) (-5 *4 (-530)) - (-5 *2 - (-3 (|:| |ans| (-2 (|:| |ans| *3) (|:| |nosol| (-110)))) - (|:| -2587 - (-2 (|:| |b| *3) (|:| |c| *3) (|:| |m| *4) (|:| |alpha| *3) - (|:| |beta| *3))))) - (-5 *1 (-954 *6 *3))))) -(((*1 *1 *2 *1) (-12 (-4 *1 (-104 *2)) (-4 *2 (-1135)))) 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(-208)))) (-5 *2 (-2 @@ -14564,7 +14472,7 @@ (-3 (|:| |str| (-1080 (-208))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -3527 + (|:| -3723 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") @@ -14572,68 +14480,65 @@ "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-525))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-597 *1)) (-4 *1 (-998 *4 *5 *6)) (-4 *4 (-984)) - (-4 *5 (-741)) (-4 *6 (-795)) (-5 *2 (-110)))) - ((*1 *2 *1 *1) - (-12 (-4 *1 (-998 *3 *4 *5)) (-4 *3 (-984)) (-4 *4 (-741)) - (-4 *5 (-795)) (-5 *2 (-110)))) - ((*1 *2 *1) - (-12 (-4 *1 (-1129 *3 *4 *5 *6)) (-4 *3 (-522)) (-4 *4 (-741)) - (-4 *5 (-795)) (-4 *6 (-998 *3 *4 *5)) (-5 *2 (-110)))) - ((*1 *2 *3 *1) - (-12 (-4 *1 (-1129 *4 *5 *6 *3)) (-4 *4 (-522)) (-4 *5 (-741)) - (-4 *6 (-795)) (-4 *3 (-998 *4 *5 *6)) (-5 *2 (-110))))) -(((*1 *2 *3) - (-12 (-5 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-(((*1 *2 *1) (-12 (-5 *2 (-1082)) (-5 *1 (-1117))))) -(((*1 *2 *1) - (-12 (-5 *2 (-1080 (-530))) (-5 *1 (-943 *3)) (-14 *3 (-530))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1 (-208) (-208))) (-5 *1 (-299)) (-5 *3 (-208))))) + (-12 (-5 *2 (-637 *5)) (-4 *5 (-984)) (-5 *1 (-988 *3 *4 *5)) + (-14 *3 (-719)) (-14 *4 (-719))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-916 *4 *5 *6 *3)) (-4 *4 (-984)) (-4 *5 (-741)) + (-4 *6 (-795)) (-4 *3 (-998 *4 *5 *6)) (-4 *4 (-522)) + (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4)))))) +(((*1 *1 *2) + (-12 (-5 *2 (-597 (-597 *3))) (-4 *3 (-1027)) (-5 *1 (-846 *3))))) (((*1 *2 *3 *2) (-12 (-5 *2 (-597 (-360))) (-5 *3 (-597 (-245))) (-5 *1 (-243)))) ((*1 *2 *1 *2) (-12 (-5 *2 (-597 (-360))) (-5 *1 (-448)))) @@ -14646,105 +14551,165 @@ (-12 (-5 *2 (-597 (-2 (|:| |val| *3) (|:| -2321 *4)))) (-5 *1 (-1065 *3 *4)) (-4 *3 (-13 (-1027) (-33))) (-4 *4 (-13 (-1027) (-33)))))) -(((*1 *2 *3 *4 *5 *6 *7 *7 *8) - (-12 - (-5 *3 - (-2 (|:| |det| *12) (|:| |rows| (-597 (-530))) - (|:| |cols| 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(-27) (-1121))) (-4 *5 (-13 (-432) (-975 (-530)) (-795) (-140) (-593 (-530)))) @@ -16649,43 +16603,37 @@ ((*1 *2 *1) (-12 (-4 *2 (-890 *3 *4 *5)) (-5 *1 (-972 *3 *4 *5 *2 *6)) (-4 *3 (-344)) (-4 *4 (-741)) (-4 *5 (-795)) (-14 *6 (-597 *2))))) -(((*1 *1 *1 *1 *2) - (-12 (-4 *1 (-998 *3 *4 *2)) (-4 *3 (-984)) (-4 *4 (-741)) - (-4 *2 (-795)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-998 *2 *3 *4)) (-4 *2 (-984)) (-4 *3 (-741)) - (-4 *4 (-795))))) -(((*1 *2 *1) (-12 (-4 *1 (-932 *2)) (-4 *2 (-522)) (-4 *2 (-515)))) - ((*1 *1 *1) (-4 *1 (-993)))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *4 (-110)) - (-4 *6 (-13 (-432) (-795) (-975 (-530)) (-593 (-530)))) - (-4 *3 (-13 (-27) (-1121) (-411 *6) (-10 -8 (-15 -2235 ($ *7))))) - (-4 *7 (-793)) - (-4 *8 - (-13 (-1159 *3 *7) (-344) (-1121) - (-10 -8 (-15 -3191 ($ $)) (-15 -2101 ($ $))))) - (-5 *2 - (-3 (|:| |%series| *8) - (|:| |%problem| (-2 (|:| |func| (-1082)) (|:| |prob| (-1082)))))) - (-5 *1 (-403 *6 *3 *7 *8 *9 *10)) (-5 *5 (-1082)) (-4 *9 (-923 *8)) - (-14 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(((*1 *1 *1 *2) (-12 (-5 *2 (-862)) (-4 *1 (-310 *3)) (-4 *3 (-344)) (-4 *3 (-349)))) ((*1 *2 *1) (-12 (-4 *1 (-310 *2)) (-4 *2 (-344)))) @@ -16697,13 +16645,37 @@ ((*1 *2 *1) (-12 (-4 *1 (-1049 *3 *2 *4 *5)) (-4 *4 (-221 *3 *2)) (-4 *5 (-221 *3 *2)) (-4 *2 (-984))))) -(((*1 *2 *3 *4 *4 *4 *4 *5 *5) - (-12 (-5 *3 (-1 (-360) (-360))) (-5 *4 (-360)) - (-5 *2 - (-2 (|:| -3359 *4) (|:| -3895 *4) (|:| |totalpts| (-530)) - (|:| |success| (-110)))) - (-5 *1 (-737)) (-5 *5 (-530))))) -(((*1 *2) (-12 (-5 *2 (-1082)) (-5 *1 (-708))))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-637 *2)) (-4 *2 (-162)) (-5 *1 (-139 *2)))) + ((*1 *2 *3) + (-12 (-4 *4 (-162)) (-4 *2 (-1157 *4)) (-5 *1 (-166 *4 *2 *3)) + (-4 *3 (-673 *4 *2)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-637 (-388 (-893 *5)))) (-5 *4 (-1099)) + (-5 *2 (-893 *5)) (-5 *1 (-274 *5)) (-4 *5 (-432)))) + ((*1 *2 *3) + (-12 (-5 *3 (-637 (-388 (-893 *4)))) (-5 *2 (-893 *4)) + (-5 *1 (-274 *4)) (-4 *4 (-432)))) + ((*1 *2 *1) + (-12 (-4 *1 (-351 *3 *2)) (-4 *3 (-162)) (-4 *2 (-1157 *3)))) + ((*1 *2 *3) + (-12 (-5 *3 (-637 (-159 (-388 (-530))))) + (-5 *2 (-893 (-159 (-388 (-530))))) (-5 *1 (-713 *4)) + (-4 *4 (-13 (-344) (-793))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-637 (-159 (-388 (-530))))) (-5 *4 (-1099)) + (-5 *2 (-893 (-159 (-388 (-530))))) (-5 *1 (-713 *5)) + (-4 *5 (-13 (-344) (-793))))) + ((*1 *2 *3) + (-12 (-5 *3 (-637 (-388 (-530)))) (-5 *2 (-893 (-388 (-530)))) + (-5 *1 (-727 *4)) (-4 *4 (-13 (-344) (-793))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-637 (-388 (-530)))) (-5 *4 (-1099)) + (-5 *2 (-893 (-388 (-530)))) (-5 *1 (-727 *5)) + (-4 *5 (-13 (-344) (-793)))))) +(((*1 *2 *1) + (-12 (-4 *1 (-563 *2 *3)) (-4 *3 (-1135)) (-4 *2 (-1027)) + (-4 *2 (-795))))) (((*1 *2 *3) (-12 (-5 *3 (-862)) (-5 *2 (-1095 *4)) (-5 *1 (-338 *4)) (-4 *4 (-330)))) @@ -16725,7 +16697,7 @@ (|partial| -12 (-5 *3 (-2 (|:| |var| (-1099)) (|:| |fn| (-297 (-208))) - (|:| -3527 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) + (|:| -3723 (-1022 (-788 (-208)))) (|:| |abserr| (-208)) (|:| |relerr| (-208)))) (-5 *2 (-2 @@ -16743,7 +16715,7 @@ (-3 (|:| |str| (-1080 (-208))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -3527 + (|:| -3723 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") @@ -16751,193 +16723,273 @@ "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-525))))) -(((*1 *2 *3 *3 *4 *5 *5 *5 *4 *4 *4 *3 *4 *4 *6) - (-12 (-5 *3 (-637 (-208))) (-5 *4 (-530)) (-5 *5 (-208)) - (-5 *6 (-3 (|:| |fn| (-369)) (|:| |fp| (-84 FCN)))) (-5 *2 (-973)) - (-5 *1 (-698))))) -(((*1 *2) (-12 (-5 *2 (-1082)) (-5 *1 (-224))))) -(((*1 *2 *2) - (-12 (-4 *2 (-13 (-344) (-793))) (-5 *1 (-169 *2 *3)) - (-4 *3 (-1157 (-159 *2)))))) -(((*1 *2 *2) (|partial| -12 (-5 *2 (-297 (-208))) (-5 *1 (-249))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1080 (-530))) (-5 *1 (-1084 *4)) (-4 *4 (-984)) - (-5 *3 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