diff options
Diffstat (limited to 'src/share/algebra')
| -rw-r--r-- | src/share/algebra/browse.daase | 296 | ||||
| -rw-r--r-- | src/share/algebra/category.daase | 204 | ||||
| -rw-r--r-- | src/share/algebra/compress.daase | 1277 | ||||
| -rw-r--r-- | src/share/algebra/interp.daase | 8062 | ||||
| -rw-r--r-- | src/share/algebra/operation.daase | 25370 |
5 files changed, 17606 insertions, 17603 deletions
diff --git a/src/share/algebra/browse.daase b/src/share/algebra/browse.daase index 6292b330..a6fc07ca 100644 --- a/src/share/algebra/browse.daase +++ b/src/share/algebra/browse.daase @@ -1,12 +1,12 @@ -(2232450 . 3409757246) +(2232450 . 3409760518) (-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."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . 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}.") (($ $) "\\spad{rootOf(p)} returns \\spad{y} such that \\spad{p(y) = 0}. Error: if \\spad{p} has more than one variable \\spad{y}."))) -((-4226 . T) (-4224 . T) (-4223 . T) ((-4231 "*") . T) (-4222 . T) (-4227 . T) (-4221 . T) (-2093 . T)) +((-4226 . T) (-4224 . T) (-4223 . T) ((-4231 "*") . T) (-4222 . T) (-4227 . T) (-4221 . T) (-2046 . T)) NIL (-30) ((|constructor| (NIL "\\indented{1}{Plot a NON-SINGULAR plane algebraic curve \\spad{p}(\\spad{x},{}\\spad{y}) = 0.} Author: Clifton \\spad{J}. Williamson Date Created: Fall 1988 Date Last Updated: 27 April 1990 Keywords: algebraic curve,{} non-singular,{} plot Examples: References:")) (|refine| (($ $ (|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 -4229))) (-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|) $ $) "\\spad{eq?(u,{}v)} tests if \\spad{u} and \\spad{v} are same objects."))) -((-2093 . T)) +((-2046 . T)) NIL (-34) ((|constructor| (NIL "Category for the inverse hyperbolic trigonometric functions.")) (|atanh| (($ $) "\\spad{atanh(x)} returns the hyperbolic arc-tangent of \\spad{x}.")) (|asinh| (($ $) "\\spad{asinh(x)} returns the hyperbolic arc-sine of \\spad{x}.")) (|asech| (($ $) "\\spad{asech(x)} returns the hyperbolic arc-secant of \\spad{x}.")) (|acsch| (($ $) "\\spad{acsch(x)} returns the hyperbolic arc-cosecant of \\spad{x}.")) (|acoth| (($ $) "\\spad{acoth(x)} returns the hyperbolic arc-cotangent of \\spad{x}.")) (|acosh| (($ $) "\\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| $) "\\spad{assoc(k,{}u)} returns the element \\spad{x} in association list \\spad{u} stored with key \\spad{k},{} or \"failed\" if \\spad{u} has no key \\spad{k}."))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-36 S R) ((|constructor| (NIL "The category of associative algebras (modules which are themselves rings). \\blankline")) (|coerce| (($ |#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 -4045 UP UPUP -3859) +(-39 -4045 UP UPUP -3178) ((|constructor| (NIL "Function field defined by \\spad{f}(\\spad{x},{} \\spad{y}) = 0.")) (|knownInfBasis| (((|Void|) (|NonNegativeInteger|)) "\\spad{knownInfBasis(n)} \\undocumented{}"))) ((-4222 |has| (-380 |#2|) (-336)) (-4227 |has| (-380 |#2|) (-336)) (-4221 |has| (-380 |#2|) (-336)) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) ((|HasCategory| (-380 |#2|) (QUOTE (-133))) (|HasCategory| (-380 |#2|) (QUOTE (-135))) (|HasCategory| (-380 |#2|) (QUOTE (-322))) (|HasCategory| (-380 |#2|) (QUOTE (-336))) (-3700 (|HasCategory| (-380 |#2|) (QUOTE (-336))) (|HasCategory| (-380 |#2|) (QUOTE (-322)))) (|HasCategory| (-380 |#2|) (QUOTE (-341))) (|HasCategory| (-380 |#2|) (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| (-380 |#2|) (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| (-380 |#2|) (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-341))) (-3700 (|HasCategory| (-380 |#2|) (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| (-380 |#2|) (QUOTE (-336)))) (-12 (|HasCategory| (-380 |#2|) (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| (-380 |#2|) (QUOTE (-336)))) (-3700 (-12 (|HasCategory| (-380 |#2|) (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| (-380 |#2|) (QUOTE (-336)))) (-12 (|HasCategory| (-380 |#2|) (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| (-380 |#2|) (QUOTE (-322))))) (-12 (|HasCategory| (-380 |#2|) (QUOTE (-209))) (|HasCategory| (-380 |#2|) (QUOTE (-336)))) (-3700 (-12 (|HasCategory| (-380 |#2|) (QUOTE (-209))) (|HasCategory| (-380 |#2|) (QUOTE (-336)))) (|HasCategory| (-380 |#2|) (QUOTE (-322))))) @@ -107,7 +107,7 @@ NIL (-44 |Key| |Entry|) ((|constructor| (NIL "\\spadtype{AssociationList} implements association lists. These may be viewed as lists of pairs where the first part is a key and the second is the stored value. For example,{} the key might be a string with a persons employee identification number and the value might be a record with personnel data."))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-783))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| (-520) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (-3700 (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|))))))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-783))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| (-520) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (-3700 (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|))))))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-45 S R E) ((|constructor| (NIL "Abelian monoid ring elements (not necessarily of finite support) of this ring are of the form formal SUM (r_i * e_i) where the r_i are coefficents and the e_i,{} elements of the ordered abelian monoid,{} are thought of as exponents or monomials. The monomials commute with each other,{} and with the coefficients (which themselves may or may not be commutative). See \\spadtype{FiniteAbelianMonoidRing} for the case of finite support a useful common model for polynomials and power series. Conceptually at least,{} only the non-zero terms are ever operated on.")) (/ (($ $ |#2|) "\\spad{p/c} divides \\spad{p} by the coefficient \\spad{c}.")) (|coefficient| ((|#2| $ |#3|) "\\spad{coefficient(p,{}e)} extracts the coefficient of the monomial with exponent \\spad{e} from polynomial \\spad{p},{} or returns zero if exponent is not present.")) (|reductum| (($ $) "\\spad{reductum(u)} returns \\spad{u} minus its leading monomial returns zero if handed the zero element.")) (|monomial| (($ |#2| |#3|) "\\spad{monomial(r,{}e)} makes a term from a coefficient \\spad{r} and an exponent \\spad{e}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(p)} tests if \\spad{p} is a single monomial.")) (|map| (($ (|Mapping| |#2| |#2|) $) "\\spad{map(fn,{}u)} maps function \\spad{fn} onto the coefficients of the non-zero monomials of \\spad{u}.")) (|degree| ((|#3| $) "\\spad{degree(p)} returns the maximum of the exponents of the terms of \\spad{p}.")) (|leadingMonomial| (($ $) "\\spad{leadingMonomial(p)} returns the monomial of \\spad{p} with the highest degree.")) (|leadingCoefficient| ((|#2| $) "\\spad{leadingCoefficient(p)} returns the coefficient highest degree term of \\spad{p}."))) NIL @@ -150,7 +150,7 @@ NIL NIL (-55 R |Row| |Col|) ((|constructor| (NIL "\\indented{1}{TwoDimensionalArrayCategory is a general array category which} allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and columns returned as objects of type Col. The index of the 'first' row may be obtained by calling the function 'minRowIndex'. The index of the 'first' column may be obtained by calling the function 'minColIndex'. The index of the first element of a 'Row' is the same as the index of the first column in an array and vice versa.")) (|map!| (($ (|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"))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . 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),{}...]}."))) @@ -164,59 +164,59 @@ NIL ((|constructor| (NIL "\\indented{1}{A TwoDimensionalArray is a two dimensional array with} 1-based indexing for both rows and columns.")) (|shallowlyMutable| ((|attribute|) "One may destructively alter TwoDimensionalArray\\spad{'s}."))) ((-4229 . T) (-4230 . T)) ((|HasCategory| |#1| (QUOTE (-1012))) (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))))) -(-59 -2889) +(-59 -2883) ((|constructor| (NIL "\\spadtype{ASP10} produces Fortran for Type 10 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. This ASP computes the values of a set of functions,{} for example:\\begin{verbatim} SUBROUTINE COEFFN(P,Q,DQDL,X,ELAM,JINT) DOUBLE PRECISION ELAM,P,Q,X,DQDL INTEGER JINT P=1.0D0 Q=((-1.0D0*X**3)+ELAM*X*X-2.0D0)/(X*X) DQDL=1.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE JINT) (QUOTE X) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-60 -2889) +(-60 -2883) ((|constructor| (NIL "\\spadtype{Asp12} produces Fortran for Type 12 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package} etc.,{} for example:\\begin{verbatim} SUBROUTINE MONIT (MAXIT,IFLAG,ELAM,FINFO) DOUBLE PRECISION ELAM,FINFO(15) INTEGER MAXIT,IFLAG IF(MAXIT.EQ.-1)THEN PRINT*,\"Output from Monit\" ENDIF PRINT*,MAXIT,IFLAG,ELAM,(FINFO(I),I=1,4) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP12}."))) NIL NIL -(-61 -2889) +(-61 -2883) ((|constructor| (NIL "\\spadtype{Asp19} produces Fortran for Type 19 ASPs,{} evaluating a set of functions and their jacobian at a given point,{} for example:\\begin{verbatim} SUBROUTINE LSFUN2(M,N,XC,FVECC,FJACC,LJC) DOUBLE PRECISION FVECC(M),FJACC(LJC,N),XC(N) INTEGER M,N,LJC INTEGER I,J DO 25003 I=1,LJC DO 25004 J=1,N FJACC(I,J)=0.0D025004 CONTINUE25003 CONTINUE FVECC(1)=((XC(1)-0.14D0)*XC(3)+(15.0D0*XC(1)-2.1D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-0.18D0)*XC(3)+(7.0D0*XC(1)-1.26D0)*XC(2)+1.0D0)/( &XC(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-0.22D0)*XC(3)+(4.333333333333333D0*XC(1)-0.953333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-0.25D0)*XC(3)+(3.0D0*XC(1)-0.75D0)*XC(2)+1.0D0)/( &XC(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-0.29D0)*XC(3)+(2.2D0*XC(1)-0.6379999999999999D0)* &XC(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-0.32D0)*XC(3)+(1.666666666666667D0*XC(1)-0.533333 &3333333333D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-0.35D0)*XC(3)+(1.285714285714286D0*XC(1)-0.45D0)* &XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-0.39D0)*XC(3)+(XC(1)-0.39D0)*XC(2)+1.0D0)/(XC(3)+ &XC(2)) FVECC(9)=((XC(1)-0.37D0)*XC(3)+(XC(1)-0.37D0)*XC(2)+1.285714285714 &286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-0.58D0)*XC(3)+(XC(1)-0.58D0)*XC(2)+1.66666666666 &6667D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-0.73D0)*XC(3)+(XC(1)-0.73D0)*XC(2)+2.2D0)/(XC(3) &+XC(2)) FVECC(12)=((XC(1)-0.96D0)*XC(3)+(XC(1)-0.96D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) FJACC(1,1)=1.0D0 FJACC(1,2)=-15.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(1,3)=-1.0D0/(XC(3)**2+30.0D0*XC(2)*XC(3)+225.0D0*XC(2)**2) FJACC(2,1)=1.0D0 FJACC(2,2)=-7.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(2,3)=-1.0D0/(XC(3)**2+14.0D0*XC(2)*XC(3)+49.0D0*XC(2)**2) FJACC(3,1)=1.0D0 FJACC(3,2)=((-0.1110223024625157D-15*XC(3))-4.333333333333333D0)/( &XC(3)**2+8.666666666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2) &**2) FJACC(3,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+8.666666 &666666666D0*XC(2)*XC(3)+18.77777777777778D0*XC(2)**2) FJACC(4,1)=1.0D0 FJACC(4,2)=-3.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(4,3)=-1.0D0/(XC(3)**2+6.0D0*XC(2)*XC(3)+9.0D0*XC(2)**2) FJACC(5,1)=1.0D0 FJACC(5,2)=((-0.1110223024625157D-15*XC(3))-2.2D0)/(XC(3)**2+4.399 &999999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(5,3)=(0.1110223024625157D-15*XC(2)-1.0D0)/(XC(3)**2+4.399999 &999999999D0*XC(2)*XC(3)+4.839999999999998D0*XC(2)**2) FJACC(6,1)=1.0D0 FJACC(6,2)=((-0.2220446049250313D-15*XC(3))-1.666666666666667D0)/( &XC(3)**2+3.333333333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2) &**2) FJACC(6,3)=(0.2220446049250313D-15*XC(2)-1.0D0)/(XC(3)**2+3.333333 &333333333D0*XC(2)*XC(3)+2.777777777777777D0*XC(2)**2) FJACC(7,1)=1.0D0 FJACC(7,2)=((-0.5551115123125783D-16*XC(3))-1.285714285714286D0)/( &XC(3)**2+2.571428571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2) &**2) FJACC(7,3)=(0.5551115123125783D-16*XC(2)-1.0D0)/(XC(3)**2+2.571428 &571428571D0*XC(2)*XC(3)+1.653061224489796D0*XC(2)**2) FJACC(8,1)=1.0D0 FJACC(8,2)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(8,3)=-1.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(9,1)=1.0D0 FJACC(9,2)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(9,3)=-1.285714285714286D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)* &*2) FJACC(10,1)=1.0D0 FJACC(10,2)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(10,3)=-1.666666666666667D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(11,1)=1.0D0 FJACC(11,2)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(11,3)=-2.2D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,1)=1.0D0 FJACC(12,2)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(12,3)=-3.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(13,1)=1.0D0 FJACC(13,2)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(13,3)=-4.333333333333333D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2) &**2) FJACC(14,1)=1.0D0 FJACC(14,2)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(14,3)=-7.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,1)=1.0D0 FJACC(15,2)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) FJACC(15,3)=-15.0D0/(XC(3)**2+2.0D0*XC(2)*XC(3)+XC(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-62 -2889) +(-62 -2883) ((|constructor| (NIL "\\spadtype{Asp1} produces Fortran for Type 1 ASPs,{} needed for various NAG routines. Type 1 ASPs take a univariate expression (in the symbol \\spad{X}) and turn it into a Fortran Function like the following:\\begin{verbatim} DOUBLE PRECISION FUNCTION F(X) DOUBLE PRECISION X F=DSIN(X) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-63 -2889) +(-63 -2883) ((|constructor| (NIL "\\spadtype{Asp20} produces Fortran for Type 20 ASPs,{} for example:\\begin{verbatim} SUBROUTINE QPHESS(N,NROWH,NCOLH,JTHCOL,HESS,X,HX) DOUBLE PRECISION HX(N),X(N),HESS(NROWH,NCOLH) INTEGER JTHCOL,N,NROWH,NCOLH HX(1)=2.0D0*X(1) HX(2)=2.0D0*X(2) HX(3)=2.0D0*X(4)+2.0D0*X(3) HX(4)=2.0D0*X(4)+2.0D0*X(3) HX(5)=2.0D0*X(5) HX(6)=(-2.0D0*X(7))+(-2.0D0*X(6)) HX(7)=(-2.0D0*X(7))+(-2.0D0*X(6)) RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct|) (|construct| (QUOTE X) (QUOTE HESS)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-64 -2889) +(-64 -2883) ((|constructor| (NIL "\\spadtype{Asp24} produces Fortran for Type 24 ASPs which evaluate a multivariate function at a point (needed for NAG routine \\axiomOpFrom{e04jaf}{e04Package}),{} for example:\\begin{verbatim} SUBROUTINE FUNCT1(N,XC,FC) DOUBLE PRECISION FC,XC(N) INTEGER N FC=10.0D0*XC(4)**4+(-40.0D0*XC(1)*XC(4)**3)+(60.0D0*XC(1)**2+5 &.0D0)*XC(4)**2+((-10.0D0*XC(3))+(-40.0D0*XC(1)**3))*XC(4)+16.0D0*X &C(3)**4+(-32.0D0*XC(2)*XC(3)**3)+(24.0D0*XC(2)**2+5.0D0)*XC(3)**2+ &(-8.0D0*XC(2)**3*XC(3))+XC(2)**4+100.0D0*XC(2)**2+20.0D0*XC(1)*XC( &2)+10.0D0*XC(1)**4+XC(1)**2 RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-65 -2889) +(-65 -2883) ((|constructor| (NIL "\\spadtype{Asp27} produces Fortran for Type 27 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package} ,{}for example:\\begin{verbatim} FUNCTION DOT(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION W(N),Z(N),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOT=(W(16)+(-0.5D0*W(15)))*Z(16)+((-0.5D0*W(16))+W(15)+(-0.5D0*W(1 &4)))*Z(15)+((-0.5D0*W(15))+W(14)+(-0.5D0*W(13)))*Z(14)+((-0.5D0*W( &14))+W(13)+(-0.5D0*W(12)))*Z(13)+((-0.5D0*W(13))+W(12)+(-0.5D0*W(1 &1)))*Z(12)+((-0.5D0*W(12))+W(11)+(-0.5D0*W(10)))*Z(11)+((-0.5D0*W( &11))+W(10)+(-0.5D0*W(9)))*Z(10)+((-0.5D0*W(10))+W(9)+(-0.5D0*W(8)) &)*Z(9)+((-0.5D0*W(9))+W(8)+(-0.5D0*W(7)))*Z(8)+((-0.5D0*W(8))+W(7) &+(-0.5D0*W(6)))*Z(7)+((-0.5D0*W(7))+W(6)+(-0.5D0*W(5)))*Z(6)+((-0. &5D0*W(6))+W(5)+(-0.5D0*W(4)))*Z(5)+((-0.5D0*W(5))+W(4)+(-0.5D0*W(3 &)))*Z(4)+((-0.5D0*W(4))+W(3)+(-0.5D0*W(2)))*Z(3)+((-0.5D0*W(3))+W( &2)+(-0.5D0*W(1)))*Z(2)+((-0.5D0*W(2))+W(1))*Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-66 -2889) +(-66 -2883) ((|constructor| (NIL "\\spadtype{Asp28} produces Fortran for Type 28 ASPs,{} used in NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE IMAGE(IFLAG,N,Z,W,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION Z(N),W(N),IWORK(LRWORK),RWORK(LRWORK) INTEGER N,LIWORK,IFLAG,LRWORK W(1)=0.01707454969713436D0*Z(16)+0.001747395874954051D0*Z(15)+0.00 &2106973900813502D0*Z(14)+0.002957434991769087D0*Z(13)+(-0.00700554 &0882865317D0*Z(12))+(-0.01219194009813166D0*Z(11))+0.0037230647365 &3087D0*Z(10)+0.04932374658377151D0*Z(9)+(-0.03586220812223305D0*Z( &8))+(-0.04723268012114625D0*Z(7))+(-0.02434652144032987D0*Z(6))+0. &2264766947290192D0*Z(5)+(-0.1385343580686922D0*Z(4))+(-0.116530050 &8238904D0*Z(3))+(-0.2803531651057233D0*Z(2))+1.019463911841327D0*Z &(1) W(2)=0.0227345011107737D0*Z(16)+0.008812321197398072D0*Z(15)+0.010 &94012210519586D0*Z(14)+(-0.01764072463999744D0*Z(13))+(-0.01357136 &72105995D0*Z(12))+0.00157466157362272D0*Z(11)+0.05258889186338282D &0*Z(10)+(-0.01981532388243379D0*Z(9))+(-0.06095390688679697D0*Z(8) &)+(-0.04153119955569051D0*Z(7))+0.2176561076571465D0*Z(6)+(-0.0532 &5555586632358D0*Z(5))+(-0.1688977368984641D0*Z(4))+(-0.32440166056 &67343D0*Z(3))+0.9128222941872173D0*Z(2)+(-0.2419652703415429D0*Z(1 &)) W(3)=0.03371198197190302D0*Z(16)+0.02021603150122265D0*Z(15)+(-0.0 &06607305534689702D0*Z(14))+(-0.03032392238968179D0*Z(13))+0.002033 &305231024948D0*Z(12)+0.05375944956767728D0*Z(11)+(-0.0163213312502 &9967D0*Z(10))+(-0.05483186562035512D0*Z(9))+(-0.04901428822579872D &0*Z(8))+0.2091097927887612D0*Z(7)+(-0.05760560341383113D0*Z(6))+(- &0.1236679206156403D0*Z(5))+(-0.3523683853026259D0*Z(4))+0.88929961 &32269974D0*Z(3)+(-0.2995429545781457D0*Z(2))+(-0.02986582812574917 &D0*Z(1)) W(4)=0.05141563713660119D0*Z(16)+0.005239165960779299D0*Z(15)+(-0. &01623427735779699D0*Z(14))+(-0.01965809746040371D0*Z(13))+0.054688 &97337339577D0*Z(12)+(-0.014224695935687D0*Z(11))+(-0.0505181779315 &6355D0*Z(10))+(-0.04353074206076491D0*Z(9))+0.2012230497530726D0*Z &(8)+(-0.06630874514535952D0*Z(7))+(-0.1280829963720053D0*Z(6))+(-0 &.305169742604165D0*Z(5))+0.8600427128450191D0*Z(4)+(-0.32415033802 &68184D0*Z(3))+(-0.09033531980693314D0*Z(2))+0.09089205517109111D0* &Z(1) W(5)=0.04556369767776375D0*Z(16)+(-0.001822737697581869D0*Z(15))+( &-0.002512226501941856D0*Z(14))+0.02947046460707379D0*Z(13)+(-0.014 &45079632086177D0*Z(12))+(-0.05034242196614937D0*Z(11))+(-0.0376966 &3291725935D0*Z(10))+0.2171103102175198D0*Z(9)+(-0.0824949256021352 &4D0*Z(8))+(-0.1473995209288945D0*Z(7))+(-0.315042193418466D0*Z(6)) &+0.9591623347824002D0*Z(5)+(-0.3852396953763045D0*Z(4))+(-0.141718 &5427288274D0*Z(3))+(-0.03423495461011043D0*Z(2))+0.319820917706851 &6D0*Z(1) W(6)=0.04015147277405744D0*Z(16)+0.01328585741341559D0*Z(15)+0.048 &26082005465965D0*Z(14)+(-0.04319641116207706D0*Z(13))+(-0.04931323 &319055762D0*Z(12))+(-0.03526886317505474D0*Z(11))+0.22295383396730 &01D0*Z(10)+(-0.07375317649315155D0*Z(9))+(-0.1589391311991561D0*Z( &8))+(-0.328001910890377D0*Z(7))+0.952576555482747D0*Z(6)+(-0.31583 &09975786731D0*Z(5))+(-0.1846882042225383D0*Z(4))+(-0.0703762046700 &4427D0*Z(3))+0.2311852964327382D0*Z(2)+0.04254083491825025D0*Z(1) W(7)=0.06069778964023718D0*Z(16)+0.06681263884671322D0*Z(15)+(-0.0 &2113506688615768D0*Z(14))+(-0.083996867458326D0*Z(13))+(-0.0329843 &8523869648D0*Z(12))+0.2276878326327734D0*Z(11)+(-0.067356038933017 &95D0*Z(10))+(-0.1559813965382218D0*Z(9))+(-0.3363262957694705D0*Z( &8))+0.9442791158560948D0*Z(7)+(-0.3199955249404657D0*Z(6))+(-0.136 &2463839920727D0*Z(5))+(-0.1006185171570586D0*Z(4))+0.2057504515015 &423D0*Z(3)+(-0.02065879269286707D0*Z(2))+0.03160990266745513D0*Z(1 &) W(8)=0.126386868896738D0*Z(16)+0.002563370039476418D0*Z(15)+(-0.05 &581757739455641D0*Z(14))+(-0.07777893205900685D0*Z(13))+0.23117338 &45834199D0*Z(12)+(-0.06031581134427592D0*Z(11))+(-0.14805474755869 &52D0*Z(10))+(-0.3364014128402243D0*Z(9))+0.9364014128402244D0*Z(8) &+(-0.3269452524413048D0*Z(7))+(-0.1396841886557241D0*Z(6))+(-0.056 &1733845834199D0*Z(5))+0.1777789320590069D0*Z(4)+(-0.04418242260544 &359D0*Z(3))+(-0.02756337003947642D0*Z(2))+0.07361313110326199D0*Z( &1) W(9)=0.07361313110326199D0*Z(16)+(-0.02756337003947642D0*Z(15))+(- &0.04418242260544359D0*Z(14))+0.1777789320590069D0*Z(13)+(-0.056173 &3845834199D0*Z(12))+(-0.1396841886557241D0*Z(11))+(-0.326945252441 &3048D0*Z(10))+0.9364014128402244D0*Z(9)+(-0.3364014128402243D0*Z(8 &))+(-0.1480547475586952D0*Z(7))+(-0.06031581134427592D0*Z(6))+0.23 &11733845834199D0*Z(5)+(-0.07777893205900685D0*Z(4))+(-0.0558175773 &9455641D0*Z(3))+0.002563370039476418D0*Z(2)+0.126386868896738D0*Z( &1) W(10)=0.03160990266745513D0*Z(16)+(-0.02065879269286707D0*Z(15))+0 &.2057504515015423D0*Z(14)+(-0.1006185171570586D0*Z(13))+(-0.136246 &3839920727D0*Z(12))+(-0.3199955249404657D0*Z(11))+0.94427911585609 &48D0*Z(10)+(-0.3363262957694705D0*Z(9))+(-0.1559813965382218D0*Z(8 &))+(-0.06735603893301795D0*Z(7))+0.2276878326327734D0*Z(6)+(-0.032 &98438523869648D0*Z(5))+(-0.083996867458326D0*Z(4))+(-0.02113506688 &615768D0*Z(3))+0.06681263884671322D0*Z(2)+0.06069778964023718D0*Z( &1) W(11)=0.04254083491825025D0*Z(16)+0.2311852964327382D0*Z(15)+(-0.0 &7037620467004427D0*Z(14))+(-0.1846882042225383D0*Z(13))+(-0.315830 &9975786731D0*Z(12))+0.952576555482747D0*Z(11)+(-0.328001910890377D &0*Z(10))+(-0.1589391311991561D0*Z(9))+(-0.07375317649315155D0*Z(8) &)+0.2229538339673001D0*Z(7)+(-0.03526886317505474D0*Z(6))+(-0.0493 &1323319055762D0*Z(5))+(-0.04319641116207706D0*Z(4))+0.048260820054 &65965D0*Z(3)+0.01328585741341559D0*Z(2)+0.04015147277405744D0*Z(1) W(12)=0.3198209177068516D0*Z(16)+(-0.03423495461011043D0*Z(15))+(- &0.1417185427288274D0*Z(14))+(-0.3852396953763045D0*Z(13))+0.959162 &3347824002D0*Z(12)+(-0.315042193418466D0*Z(11))+(-0.14739952092889 &45D0*Z(10))+(-0.08249492560213524D0*Z(9))+0.2171103102175198D0*Z(8 &)+(-0.03769663291725935D0*Z(7))+(-0.05034242196614937D0*Z(6))+(-0. &01445079632086177D0*Z(5))+0.02947046460707379D0*Z(4)+(-0.002512226 &501941856D0*Z(3))+(-0.001822737697581869D0*Z(2))+0.045563697677763 &75D0*Z(1) W(13)=0.09089205517109111D0*Z(16)+(-0.09033531980693314D0*Z(15))+( &-0.3241503380268184D0*Z(14))+0.8600427128450191D0*Z(13)+(-0.305169 &742604165D0*Z(12))+(-0.1280829963720053D0*Z(11))+(-0.0663087451453 &5952D0*Z(10))+0.2012230497530726D0*Z(9)+(-0.04353074206076491D0*Z( &8))+(-0.05051817793156355D0*Z(7))+(-0.014224695935687D0*Z(6))+0.05 &468897337339577D0*Z(5)+(-0.01965809746040371D0*Z(4))+(-0.016234277 &35779699D0*Z(3))+0.005239165960779299D0*Z(2)+0.05141563713660119D0 &*Z(1) W(14)=(-0.02986582812574917D0*Z(16))+(-0.2995429545781457D0*Z(15)) &+0.8892996132269974D0*Z(14)+(-0.3523683853026259D0*Z(13))+(-0.1236 &679206156403D0*Z(12))+(-0.05760560341383113D0*Z(11))+0.20910979278 &87612D0*Z(10)+(-0.04901428822579872D0*Z(9))+(-0.05483186562035512D &0*Z(8))+(-0.01632133125029967D0*Z(7))+0.05375944956767728D0*Z(6)+0 &.002033305231024948D0*Z(5)+(-0.03032392238968179D0*Z(4))+(-0.00660 &7305534689702D0*Z(3))+0.02021603150122265D0*Z(2)+0.033711981971903 &02D0*Z(1) W(15)=(-0.2419652703415429D0*Z(16))+0.9128222941872173D0*Z(15)+(-0 &.3244016605667343D0*Z(14))+(-0.1688977368984641D0*Z(13))+(-0.05325 &555586632358D0*Z(12))+0.2176561076571465D0*Z(11)+(-0.0415311995556 &9051D0*Z(10))+(-0.06095390688679697D0*Z(9))+(-0.01981532388243379D &0*Z(8))+0.05258889186338282D0*Z(7)+0.00157466157362272D0*Z(6)+(-0. &0135713672105995D0*Z(5))+(-0.01764072463999744D0*Z(4))+0.010940122 &10519586D0*Z(3)+0.008812321197398072D0*Z(2)+0.0227345011107737D0*Z &(1) W(16)=1.019463911841327D0*Z(16)+(-0.2803531651057233D0*Z(15))+(-0. &1165300508238904D0*Z(14))+(-0.1385343580686922D0*Z(13))+0.22647669 &47290192D0*Z(12)+(-0.02434652144032987D0*Z(11))+(-0.04723268012114 &625D0*Z(10))+(-0.03586220812223305D0*Z(9))+0.04932374658377151D0*Z &(8)+0.00372306473653087D0*Z(7)+(-0.01219194009813166D0*Z(6))+(-0.0 &07005540882865317D0*Z(5))+0.002957434991769087D0*Z(4)+0.0021069739 &00813502D0*Z(3)+0.001747395874954051D0*Z(2)+0.01707454969713436D0* &Z(1) RETURN END\\end{verbatim}"))) NIL NIL -(-67 -2889) +(-67 -2883) ((|constructor| (NIL "\\spadtype{Asp29} produces Fortran for Type 29 ASPs,{} needed for NAG routine \\axiomOpFrom{f02fjf}{f02Package},{} for example:\\begin{verbatim} SUBROUTINE MONIT(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) DOUBLE PRECISION D(K),F(K) INTEGER K,NEXTIT,NEVALS,NVECS,ISTATE CALL F02FJZ(ISTATE,NEXTIT,NEVALS,NEVECS,K,F,D) RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP29}."))) NIL NIL -(-68 -2889) +(-68 -2883) ((|constructor| (NIL "\\spadtype{Asp30} produces Fortran for Type 30 ASPs,{} needed for NAG routine \\axiomOpFrom{f04qaf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE APROD(MODE,M,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION X(N),Y(M),RWORK(LRWORK) INTEGER M,N,LIWORK,IFAIL,LRWORK,IWORK(LIWORK),MODE DOUBLE PRECISION A(5,5) EXTERNAL F06PAF A(1,1)=1.0D0 A(1,2)=0.0D0 A(1,3)=0.0D0 A(1,4)=-1.0D0 A(1,5)=0.0D0 A(2,1)=0.0D0 A(2,2)=1.0D0 A(2,3)=0.0D0 A(2,4)=0.0D0 A(2,5)=-1.0D0 A(3,1)=0.0D0 A(3,2)=0.0D0 A(3,3)=1.0D0 A(3,4)=-1.0D0 A(3,5)=0.0D0 A(4,1)=-1.0D0 A(4,2)=0.0D0 A(4,3)=-1.0D0 A(4,4)=4.0D0 A(4,5)=-1.0D0 A(5,1)=0.0D0 A(5,2)=-1.0D0 A(5,3)=0.0D0 A(5,4)=-1.0D0 A(5,5)=4.0D0 IF(MODE.EQ.1)THEN CALL F06PAF('N',M,N,1.0D0,A,M,X,1,1.0D0,Y,1) ELSEIF(MODE.EQ.2)THEN CALL F06PAF('T',M,N,1.0D0,A,M,Y,1,1.0D0,X,1) ENDIF RETURN END\\end{verbatim}"))) NIL NIL -(-69 -2889) +(-69 -2883) ((|constructor| (NIL "\\spadtype{Asp31} produces Fortran for Type 31 ASPs,{} needed for NAG routine \\axiomOpFrom{d02ejf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE PEDERV(X,Y,PW) DOUBLE PRECISION X,Y(*) DOUBLE PRECISION PW(3,3) PW(1,1)=-0.03999999999999999D0 PW(1,2)=10000.0D0*Y(3) PW(1,3)=10000.0D0*Y(2) PW(2,1)=0.03999999999999999D0 PW(2,2)=(-10000.0D0*Y(3))+(-60000000.0D0*Y(2)) PW(2,3)=-10000.0D0*Y(2) PW(3,1)=0.0D0 PW(3,2)=60000000.0D0*Y(2) PW(3,3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-70 -2889) +(-70 -2883) ((|constructor| (NIL "\\spadtype{Asp33} produces Fortran for Type 33 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package}. The code is a dummy ASP:\\begin{verbatim} SUBROUTINE REPORT(X,V,JINT) DOUBLE PRECISION V(3),X INTEGER JINT RETURN END\\end{verbatim}")) (|outputAsFortran| (((|Void|)) "\\spad{outputAsFortran()} generates the default code for \\spadtype{ASP33}."))) NIL NIL -(-71 -2889) +(-71 -2883) ((|constructor| (NIL "\\spadtype{Asp34} produces Fortran for Type 34 ASPs,{} needed for NAG routine \\axiomOpFrom{f04mbf}{f04Package},{} for example:\\begin{verbatim} SUBROUTINE MSOLVE(IFLAG,N,X,Y,RWORK,LRWORK,IWORK,LIWORK) DOUBLE PRECISION RWORK(LRWORK),X(N),Y(N) INTEGER I,J,N,LIWORK,IFLAG,LRWORK,IWORK(LIWORK) DOUBLE PRECISION W1(3),W2(3),MS(3,3) IFLAG=-1 MS(1,1)=2.0D0 MS(1,2)=1.0D0 MS(1,3)=0.0D0 MS(2,1)=1.0D0 MS(2,2)=2.0D0 MS(2,3)=1.0D0 MS(3,1)=0.0D0 MS(3,2)=1.0D0 MS(3,3)=2.0D0 CALL F04ASF(MS,N,X,N,Y,W1,W2,IFLAG) IFLAG=-IFLAG RETURN END\\end{verbatim}"))) NIL NIL -(-72 -2889) +(-72 -2883) ((|constructor| (NIL "\\spadtype{Asp35} produces Fortran for Type 35 ASPs,{} needed for NAG routines \\axiomOpFrom{c05pbf}{c05Package},{} \\axiomOpFrom{c05pcf}{c05Package},{} for example:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,FJAC,LDFJAC,IFLAG) DOUBLE PRECISION X(N),FVEC(N),FJAC(LDFJAC,N) INTEGER LDFJAC,N,IFLAG IF(IFLAG.EQ.1)THEN FVEC(1)=(-1.0D0*X(2))+X(1) FVEC(2)=(-1.0D0*X(3))+2.0D0*X(2) FVEC(3)=3.0D0*X(3) ELSEIF(IFLAG.EQ.2)THEN FJAC(1,1)=1.0D0 FJAC(1,2)=-1.0D0 FJAC(1,3)=0.0D0 FJAC(2,1)=0.0D0 FJAC(2,2)=2.0D0 FJAC(2,3)=-1.0D0 FJAC(3,1)=0.0D0 FJAC(3,2)=0.0D0 FJAC(3,3)=3.0D0 ENDIF END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL @@ -228,55 +228,55 @@ NIL ((|constructor| (NIL "\\spadtype{Asp42} produces Fortran for Type 42 ASPs,{} needed for NAG routines \\axiomOpFrom{d02raf}{d02Package} and \\axiomOpFrom{d02saf}{d02Package} in particular. These ASPs are in fact three Fortran routines which return a vector of functions,{} and their derivatives \\spad{wrt} \\spad{Y}(\\spad{i}) and also a continuation parameter EPS,{} for example:\\begin{verbatim} SUBROUTINE G(EPS,YA,YB,BC,N) DOUBLE PRECISION EPS,YA(N),YB(N),BC(N) INTEGER N BC(1)=YA(1) BC(2)=YA(2) BC(3)=YB(2)-1.0D0 RETURN END SUBROUTINE JACOBG(EPS,YA,YB,AJ,BJ,N) DOUBLE PRECISION EPS,YA(N),AJ(N,N),BJ(N,N),YB(N) INTEGER N AJ(1,1)=1.0D0 AJ(1,2)=0.0D0 AJ(1,3)=0.0D0 AJ(2,1)=0.0D0 AJ(2,2)=1.0D0 AJ(2,3)=0.0D0 AJ(3,1)=0.0D0 AJ(3,2)=0.0D0 AJ(3,3)=0.0D0 BJ(1,1)=0.0D0 BJ(1,2)=0.0D0 BJ(1,3)=0.0D0 BJ(2,1)=0.0D0 BJ(2,2)=0.0D0 BJ(2,3)=0.0D0 BJ(3,1)=0.0D0 BJ(3,2)=1.0D0 BJ(3,3)=0.0D0 RETURN END SUBROUTINE JACGEP(EPS,YA,YB,BCEP,N) DOUBLE PRECISION EPS,YA(N),YB(N),BCEP(N) INTEGER N BCEP(1)=0.0D0 BCEP(2)=0.0D0 BCEP(3)=0.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE EPS)) (|construct| (QUOTE YA) (QUOTE YB)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-75 -2889) +(-75 -2883) ((|constructor| (NIL "\\spadtype{Asp49} produces Fortran for Type 49 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package},{} \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE OBJFUN(MODE,N,X,OBJF,OBJGRD,NSTATE,IUSER,USER) DOUBLE PRECISION X(N),OBJF,OBJGRD(N),USER(*) INTEGER N,IUSER(*),MODE,NSTATE OBJF=X(4)*X(9)+((-1.0D0*X(5))+X(3))*X(8)+((-1.0D0*X(3))+X(1))*X(7) &+(-1.0D0*X(2)*X(6)) OBJGRD(1)=X(7) OBJGRD(2)=-1.0D0*X(6) OBJGRD(3)=X(8)+(-1.0D0*X(7)) OBJGRD(4)=X(9) OBJGRD(5)=-1.0D0*X(8) OBJGRD(6)=-1.0D0*X(2) OBJGRD(7)=(-1.0D0*X(3))+X(1) OBJGRD(8)=(-1.0D0*X(5))+X(3) OBJGRD(9)=X(4) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-76 -2889) +(-76 -2883) ((|constructor| (NIL "\\spadtype{Asp4} produces Fortran for Type 4 ASPs,{} which take an expression in \\spad{X}(1) .. \\spad{X}(NDIM) and produce a real function of the form:\\begin{verbatim} DOUBLE PRECISION FUNCTION FUNCTN(NDIM,X) DOUBLE PRECISION X(NDIM) INTEGER NDIM FUNCTN=(4.0D0*X(1)*X(3)**2*DEXP(2.0D0*X(1)*X(3)))/(X(4)**2+(2.0D0* &X(2)+2.0D0)*X(4)+X(2)**2+2.0D0*X(2)+1.0D0) RETURN END\\end{verbatim}")) (|coerce| (($ (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL -(-77 -2889) +(-77 -2883) ((|constructor| (NIL "\\spadtype{Asp50} produces Fortran for Type 50 ASPs,{} needed for NAG routine \\axiomOpFrom{e04fdf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE LSFUN1(M,N,XC,FVECC) DOUBLE PRECISION FVECC(M),XC(N) INTEGER I,M,N FVECC(1)=((XC(1)-2.4D0)*XC(3)+(15.0D0*XC(1)-36.0D0)*XC(2)+1.0D0)/( &XC(3)+15.0D0*XC(2)) FVECC(2)=((XC(1)-2.8D0)*XC(3)+(7.0D0*XC(1)-19.6D0)*XC(2)+1.0D0)/(X &C(3)+7.0D0*XC(2)) FVECC(3)=((XC(1)-3.2D0)*XC(3)+(4.333333333333333D0*XC(1)-13.866666 &66666667D0)*XC(2)+1.0D0)/(XC(3)+4.333333333333333D0*XC(2)) FVECC(4)=((XC(1)-3.5D0)*XC(3)+(3.0D0*XC(1)-10.5D0)*XC(2)+1.0D0)/(X &C(3)+3.0D0*XC(2)) FVECC(5)=((XC(1)-3.9D0)*XC(3)+(2.2D0*XC(1)-8.579999999999998D0)*XC &(2)+1.0D0)/(XC(3)+2.2D0*XC(2)) FVECC(6)=((XC(1)-4.199999999999999D0)*XC(3)+(1.666666666666667D0*X &C(1)-7.0D0)*XC(2)+1.0D0)/(XC(3)+1.666666666666667D0*XC(2)) FVECC(7)=((XC(1)-4.5D0)*XC(3)+(1.285714285714286D0*XC(1)-5.7857142 &85714286D0)*XC(2)+1.0D0)/(XC(3)+1.285714285714286D0*XC(2)) FVECC(8)=((XC(1)-4.899999999999999D0)*XC(3)+(XC(1)-4.8999999999999 &99D0)*XC(2)+1.0D0)/(XC(3)+XC(2)) FVECC(9)=((XC(1)-4.699999999999999D0)*XC(3)+(XC(1)-4.6999999999999 &99D0)*XC(2)+1.285714285714286D0)/(XC(3)+XC(2)) FVECC(10)=((XC(1)-6.8D0)*XC(3)+(XC(1)-6.8D0)*XC(2)+1.6666666666666 &67D0)/(XC(3)+XC(2)) FVECC(11)=((XC(1)-8.299999999999999D0)*XC(3)+(XC(1)-8.299999999999 &999D0)*XC(2)+2.2D0)/(XC(3)+XC(2)) FVECC(12)=((XC(1)-10.6D0)*XC(3)+(XC(1)-10.6D0)*XC(2)+3.0D0)/(XC(3) &+XC(2)) FVECC(13)=((XC(1)-1.34D0)*XC(3)+(XC(1)-1.34D0)*XC(2)+4.33333333333 &3333D0)/(XC(3)+XC(2)) FVECC(14)=((XC(1)-2.1D0)*XC(3)+(XC(1)-2.1D0)*XC(2)+7.0D0)/(XC(3)+X &C(2)) FVECC(15)=((XC(1)-4.39D0)*XC(3)+(XC(1)-4.39D0)*XC(2)+15.0D0)/(XC(3 &)+XC(2)) END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE XC)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-78 -2889) +(-78 -2883) ((|constructor| (NIL "\\spadtype{Asp55} produces Fortran for Type 55 ASPs,{} needed for NAG routines \\axiomOpFrom{e04dgf}{e04Package} and \\axiomOpFrom{e04ucf}{e04Package},{} for example:\\begin{verbatim} SUBROUTINE CONFUN(MODE,NCNLN,N,NROWJ,NEEDC,X,C,CJAC,NSTATE,IUSER &,USER) DOUBLE PRECISION C(NCNLN),X(N),CJAC(NROWJ,N),USER(*) INTEGER N,IUSER(*),NEEDC(NCNLN),NROWJ,MODE,NCNLN,NSTATE IF(NEEDC(1).GT.0)THEN C(1)=X(6)**2+X(1)**2 CJAC(1,1)=2.0D0*X(1) CJAC(1,2)=0.0D0 CJAC(1,3)=0.0D0 CJAC(1,4)=0.0D0 CJAC(1,5)=0.0D0 CJAC(1,6)=2.0D0*X(6) ENDIF IF(NEEDC(2).GT.0)THEN C(2)=X(2)**2+(-2.0D0*X(1)*X(2))+X(1)**2 CJAC(2,1)=(-2.0D0*X(2))+2.0D0*X(1) CJAC(2,2)=2.0D0*X(2)+(-2.0D0*X(1)) CJAC(2,3)=0.0D0 CJAC(2,4)=0.0D0 CJAC(2,5)=0.0D0 CJAC(2,6)=0.0D0 ENDIF IF(NEEDC(3).GT.0)THEN C(3)=X(3)**2+(-2.0D0*X(1)*X(3))+X(2)**2+X(1)**2 CJAC(3,1)=(-2.0D0*X(3))+2.0D0*X(1) CJAC(3,2)=2.0D0*X(2) CJAC(3,3)=2.0D0*X(3)+(-2.0D0*X(1)) CJAC(3,4)=0.0D0 CJAC(3,5)=0.0D0 CJAC(3,6)=0.0D0 ENDIF RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-79 -2889) +(-79 -2883) ((|constructor| (NIL "\\spadtype{Asp6} produces Fortran for Type 6 ASPs,{} needed for NAG routines \\axiomOpFrom{c05nbf}{c05Package},{} \\axiomOpFrom{c05ncf}{c05Package}. These represent vectors of functions of \\spad{X}(\\spad{i}) and look like:\\begin{verbatim} SUBROUTINE FCN(N,X,FVEC,IFLAG) DOUBLE PRECISION X(N),FVEC(N) INTEGER N,IFLAG FVEC(1)=(-2.0D0*X(2))+(-2.0D0*X(1)**2)+3.0D0*X(1)+1.0D0 FVEC(2)=(-2.0D0*X(3))+(-2.0D0*X(2)**2)+3.0D0*X(2)+(-1.0D0*X(1))+1. &0D0 FVEC(3)=(-2.0D0*X(4))+(-2.0D0*X(3)**2)+3.0D0*X(3)+(-1.0D0*X(2))+1. &0D0 FVEC(4)=(-2.0D0*X(5))+(-2.0D0*X(4)**2)+3.0D0*X(4)+(-1.0D0*X(3))+1. &0D0 FVEC(5)=(-2.0D0*X(6))+(-2.0D0*X(5)**2)+3.0D0*X(5)+(-1.0D0*X(4))+1. &0D0 FVEC(6)=(-2.0D0*X(7))+(-2.0D0*X(6)**2)+3.0D0*X(6)+(-1.0D0*X(5))+1. &0D0 FVEC(7)=(-2.0D0*X(8))+(-2.0D0*X(7)**2)+3.0D0*X(7)+(-1.0D0*X(6))+1. &0D0 FVEC(8)=(-2.0D0*X(9))+(-2.0D0*X(8)**2)+3.0D0*X(8)+(-1.0D0*X(7))+1. &0D0 FVEC(9)=(-2.0D0*X(9)**2)+3.0D0*X(9)+(-1.0D0*X(8))+1.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct|) (|construct| (QUOTE X)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-80 -2889) +(-80 -2883) ((|constructor| (NIL "\\spadtype{Asp73} produces Fortran for Type 73 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE PDEF(X,Y,ALPHA,BETA,GAMMA,DELTA,EPSOLN,PHI,PSI) DOUBLE PRECISION ALPHA,EPSOLN,PHI,X,Y,BETA,DELTA,GAMMA,PSI ALPHA=DSIN(X) BETA=Y GAMMA=X*Y DELTA=DCOS(X)*DSIN(Y) EPSOLN=Y+X PHI=X PSI=Y RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-81 -2889) +(-81 -2883) ((|constructor| (NIL "\\spadtype{Asp74} produces Fortran for Type 74 ASPs,{} needed for NAG routine \\axiomOpFrom{d03eef}{d03Package},{} for example:\\begin{verbatim} SUBROUTINE BNDY(X,Y,A,B,C,IBND) DOUBLE PRECISION A,B,C,X,Y INTEGER IBND IF(IBND.EQ.0)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(X) ELSEIF(IBND.EQ.1)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.2)THEN A=1.0D0 B=0.0D0 C=DSIN(X)*DSIN(Y) ELSEIF(IBND.EQ.3)THEN A=0.0D0 B=1.0D0 C=-1.0D0*DSIN(Y) ENDIF END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X) (QUOTE Y)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-82 -2889) +(-82 -2883) ((|constructor| (NIL "\\spadtype{Asp77} produces Fortran for Type 77 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNF(X,F) DOUBLE PRECISION X DOUBLE PRECISION F(2,2) F(1,1)=0.0D0 F(1,2)=1.0D0 F(2,1)=0.0D0 F(2,2)=-10.0D0 RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-83 -2889) +(-83 -2883) ((|constructor| (NIL "\\spadtype{Asp78} produces Fortran for Type 78 ASPs,{} needed for NAG routine \\axiomOpFrom{d02gbf}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE FCNG(X,G) DOUBLE PRECISION G(*),X G(1)=0.0D0 G(2)=0.0D0 END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-84 -2889) +(-84 -2883) ((|constructor| (NIL "\\spadtype{Asp7} produces Fortran for Type 7 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bbf}{d02Package},{} \\axiomOpFrom{d02gaf}{d02Package}. These represent a vector of functions of the scalar \\spad{X} and the array \\spad{Z},{} and look like:\\begin{verbatim} SUBROUTINE FCN(X,Z,F) DOUBLE PRECISION F(*),X,Z(*) F(1)=DTAN(Z(3)) F(2)=((-0.03199999999999999D0*DCOS(Z(3))*DTAN(Z(3)))+(-0.02D0*Z(2) &**2))/(Z(2)*DCOS(Z(3))) F(3)=-0.03199999999999999D0/(X*Z(2)**2) RETURN END\\end{verbatim}")) (|coerce| (($ (|Vector| (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-85 -2889) +(-85 -2883) ((|constructor| (NIL "\\spadtype{Asp80} produces Fortran for Type 80 ASPs,{} needed for NAG routine \\axiomOpFrom{d02kef}{d02Package},{} for example:\\begin{verbatim} SUBROUTINE BDYVAL(XL,XR,ELAM,YL,YR) DOUBLE PRECISION ELAM,XL,YL(3),XR,YR(3) YL(1)=XL YL(2)=2.0D0 YR(1)=1.0D0 YR(2)=-1.0D0*DSQRT(XR+(-1.0D0*ELAM)) RETURN END\\end{verbatim}")) (|coerce| (($ (|Matrix| (|FortranExpression| (|construct| (QUOTE XL) (QUOTE XR) (QUOTE ELAM)) (|construct|) (|MachineFloat|)))) "\\spad{coerce(f)} takes objects from the appropriate instantiation of \\spadtype{FortranExpression} and turns them into an ASP."))) NIL NIL -(-86 -2889) +(-86 -2883) ((|constructor| (NIL "\\spadtype{Asp8} produces Fortran for Type 8 ASPs,{} needed for NAG routine \\axiomOpFrom{d02bbf}{d02Package}. This ASP prints intermediate values of the computed solution of an ODE and might look like:\\begin{verbatim} SUBROUTINE OUTPUT(XSOL,Y,COUNT,M,N,RESULT,FORWRD) DOUBLE PRECISION Y(N),RESULT(M,N),XSOL INTEGER M,N,COUNT LOGICAL FORWRD DOUBLE PRECISION X02ALF,POINTS(8) EXTERNAL X02ALF INTEGER I POINTS(1)=1.0D0 POINTS(2)=2.0D0 POINTS(3)=3.0D0 POINTS(4)=4.0D0 POINTS(5)=5.0D0 POINTS(6)=6.0D0 POINTS(7)=7.0D0 POINTS(8)=8.0D0 COUNT=COUNT+1 DO 25001 I=1,N RESULT(COUNT,I)=Y(I)25001 CONTINUE IF(COUNT.EQ.M)THEN IF(FORWRD)THEN XSOL=X02ALF() ELSE XSOL=-X02ALF() ENDIF ELSE XSOL=POINTS(COUNT) ENDIF END\\end{verbatim}"))) NIL NIL -(-87 -2889) +(-87 -2883) ((|constructor| (NIL "\\spadtype{Asp9} produces Fortran for Type 9 ASPs,{} needed for NAG routines \\axiomOpFrom{d02bhf}{d02Package},{} \\axiomOpFrom{d02cjf}{d02Package},{} \\axiomOpFrom{d02ejf}{d02Package}. These ASPs represent a function of a scalar \\spad{X} and a vector \\spad{Y},{} for example:\\begin{verbatim} DOUBLE PRECISION FUNCTION G(X,Y) DOUBLE PRECISION X,Y(*) G=X+Y(1) RETURN END\\end{verbatim} If the user provides a constant value for \\spad{G},{} then extra information is added via COMMON blocks used by certain routines. This specifies that the value returned by \\spad{G} in this case is to be ignored.")) (|coerce| (($ (|FortranExpression| (|construct| (QUOTE X)) (|construct| (QUOTE Y)) (|MachineFloat|))) "\\spad{coerce(f)} takes an object from the appropriate instantiation of \\spadtype{FortranExpression} and turns it into an ASP."))) NIL NIL @@ -338,7 +338,7 @@ NIL NIL (-102 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."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-103) ((|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|)) $) "\\spad{coerce(b)} converts a binary expansion to a rational number."))) @@ -390,7 +390,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4230))) (-115 S) ((|constructor| (NIL "A binary-recursive aggregate has 0,{} 1 or 2 children and serves as a model for a binary tree or a doubly-linked aggregate structure")) (|setright!| (($ $ $) "\\spad{setright!(a,{}x)} sets the right child of \\spad{t} to be \\spad{x}.")) (|setleft!| (($ $ $) "\\spad{setleft!(a,{}b)} sets the left child of \\axiom{a} to be \\spad{b}.")) (|setelt| (($ $ "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."))) -((-2093 . T)) +((-2046 . T)) NIL (-116 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."))) @@ -406,7 +406,7 @@ NIL NIL (-119) ((|constructor| (NIL "The bit aggregate category models aggregates representing large quantities of Boolean data.")) (|xor| (($ $ $) "\\spad{xor(a,{}b)} returns the logical {\\em exclusive-or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|or| (($ $ $) "\\spad{a or b} returns the logical {\\em or} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|and| (($ $ $) "\\spad{a and b} returns the logical {\\em and} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nor| (($ $ $) "\\spad{nor(a,{}b)} returns the logical {\\em nor} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (|nand| (($ $ $) "\\spad{nand(a,{}b)} returns the logical {\\em nand} of bit aggregates \\axiom{a} and \\axiom{\\spad{b}}.")) (^ (($ $) "\\spad{^ b} returns the logical {\\em not} of bit aggregate \\axiom{\\spad{b}}.")) (|not| (($ $) "\\spad{not(b)} returns the logical {\\em not} of bit aggregate \\axiom{\\spad{b}}."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-120 A S) ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#2| $) "\\spad{node(left,{}v,{}right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}.")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) @@ -414,7 +414,7 @@ NIL NIL (-121 S) ((|constructor| (NIL "\\spadtype{BinaryTreeCategory(S)} is the category of binary trees: a tree which is either empty or else is a \\spadfun{node} consisting of a value and a \\spadfun{left} and \\spadfun{right},{} both binary trees.")) (|node| (($ $ |#1| $) "\\spad{node(left,{}v,{}right)} creates a binary tree with value \\spad{v},{} a binary tree \\spad{left},{} and a binary tree \\spad{right}.")) (|finiteAggregate| ((|attribute|) "Binary trees have a finite number of components")) (|shallowlyMutable| ((|attribute|) "Binary trees have updateable components"))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-122 S) ((|constructor| (NIL "\\spadtype{BinaryTournament(S)} is the domain of binary trees where elements are ordered down the tree. A binary search tree is either empty or is a node containing a \\spadfun{value} of type \\spad{S},{} and a \\spadfun{right} and a \\spadfun{left} which are both \\spadtype{BinaryTree(S)}")) (|insert!| (($ |#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."))) @@ -436,11 +436,11 @@ 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") $ $) "\\spad{x - y} returns an element \\spad{z} such that \\spad{z+y=x} or \"failed\" if no such element exists.")) (|commutative| ((|attribute| "*") "a domain \\spad{D} has \\spad{commutative(\"*\")} if it has an operation \\spad{\"*\": (D,{}D) -> D} which is commutative."))) (((-4231 "*") . T)) NIL -(-127 |minix| -2621 S T$) +(-127 |minix| -2615 S T$) ((|constructor| (NIL "This package provides functions to enable conversion of tensors given conversion of the components.")) (|map| (((|CartesianTensor| |#1| |#2| |#4|) (|Mapping| |#4| |#3|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{map(f,{}ts)} does a componentwise conversion of the tensor \\spad{ts} to a tensor with components of type \\spad{T}.")) (|reshape| (((|CartesianTensor| |#1| |#2| |#4|) (|List| |#4|) (|CartesianTensor| |#1| |#2| |#3|)) "\\spad{reshape(lt,{}ts)} organizes the list of components \\spad{lt} into a tensor with the same shape as \\spad{ts}."))) NIL NIL -(-128 |minix| -2621 R) +(-128 |minix| -2615 R) ((|constructor| (NIL "CartesianTensor(minix,{}dim,{}\\spad{R}) provides Cartesian tensors with components belonging to a commutative ring \\spad{R}. These tensors can have any number of indices. Each index takes values from \\spad{minix} to \\spad{minix + dim - 1}.")) (|sample| (($) "\\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 @@ -486,7 +486,7 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasAttribute| |#1| (QUOTE -4229))) (-139 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."))) -((-2093 . T)) +((-2046 . T)) NIL (-140 |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."))) @@ -534,7 +534,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-837))) (|HasCategory| |#2| (QUOTE (-505))) (|HasCategory| |#2| (QUOTE (-926))) (|HasCategory| |#2| (QUOTE (-1104))) (|HasCategory| |#2| (QUOTE (-978))) (|HasCategory| |#2| (QUOTE (-945))) (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-135))) (|HasCategory| |#2| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#2| (QUOTE (-336))) (|HasAttribute| |#2| (QUOTE -4225)) (|HasAttribute| |#2| (QUOTE -4228)) (|HasCategory| |#2| (QUOTE (-281))) (|HasCategory| |#2| (QUOTE (-512))) (|HasCategory| |#2| (QUOTE (-783)))) (-151 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})"))) -((-4222 -3700 (|has| |#1| (-512)) (-12 (|has| |#1| (-281)) (|has| |#1| (-837)))) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4225 |has| |#1| (-6 -4225)) (-4228 |has| |#1| (-6 -4228)) (-3902 . T) (-2093 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) +((-4222 -3700 (|has| |#1| (-512)) (-12 (|has| |#1| (-281)) (|has| |#1| (-837)))) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4225 |has| |#1| (-6 -4225)) (-4228 |has| |#1| (-6 -4228)) (-3901 . T) (-2046 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) NIL (-152 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."))) @@ -546,7 +546,7 @@ NIL NIL (-154 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}."))) -((-4222 -3700 (|has| |#1| (-512)) (-12 (|has| |#1| (-281)) (|has| |#1| (-837)))) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4225 |has| |#1| (-6 -4225)) (-4228 |has| |#1| (-6 -4228)) (-3902 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) +((-4222 -3700 (|has| |#1| (-512)) (-12 (|has| |#1| (-281)) (|has| |#1| (-837)))) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4225 |has| |#1| (-6 -4225)) (-4228 |has| |#1| (-6 -4228)) (-3901 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) ((|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-322)))) (|HasCategory| |#1| (QUOTE (-341))) (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-1104))) (-12 (|HasCategory| |#1| (QUOTE (-926))) (|HasCategory| |#1| (QUOTE (-1104)))) (|HasCategory| |#1| (QUOTE (-945))) (|HasCategory| |#1| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-352))))) (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-520))))) (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-520)))) (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-352)))) (|HasCategory| |#1| (LIST (QUOTE -481) (QUOTE (-1083)) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|))) (|HasCategory| |#1| (LIST (QUOTE -260) (|devaluate| |#1|) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-764))) (|HasCategory| |#1| (QUOTE (-978))) (-12 (|HasCategory| |#1| (QUOTE (-978))) (|HasCategory| |#1| (QUOTE (-1104)))) (|HasCategory| |#1| (QUOTE (-505))) (-3700 (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-336)))) (|HasCategory| |#1| (QUOTE (-281))) (-3700 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-322)))) (|HasCategory| |#1| (QUOTE (-837))) (|HasCategory| |#1| (QUOTE (-209))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-352))))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -481) (QUOTE (-1083)) (|devaluate| |#1|))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-322)))) (|HasCategory| |#1| (QUOTE (-209))) (-12 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-322)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -260) (|devaluate| |#1|) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-341)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-512)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-764)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-783)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-945)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-1104)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -561) (QUOTE (-496))))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-352))))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-520))))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (|HasCategory| |#1| (QUOTE (-336))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-837))))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (-12 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-837)))) (-12 (|HasCategory| |#1| (QUOTE (-322))) (|HasCategory| |#1| (QUOTE (-837))))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (|HasCategory| |#1| (QUOTE (-336)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasAttribute| |#1| (QUOTE -4225)) (|HasAttribute| |#1| (QUOTE -4228)) (-12 (|HasCategory| |#1| (QUOTE (-209))) (|HasCategory| |#1| (QUOTE (-336)))) (-12 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083))))) (-3700 (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (|HasCategory| |#1| (QUOTE (-133)))) (-3700 (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-281))) (|HasCategory| |#1| (QUOTE (-837)))) (|HasCategory| |#1| (QUOTE (-322))))) (-155 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"))) @@ -750,7 +750,7 @@ NIL NIL (-205 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."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-206 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}."))) @@ -774,25 +774,25 @@ NIL ((|HasAttribute| |#1| (QUOTE -4229))) (-211 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}."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-212) ((|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 -(-213 S -2621 R) +(-213 S -2615 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 (-336))) (|HasCategory| |#3| (QUOTE (-728))) (|HasCategory| |#3| (QUOTE (-781))) (|HasAttribute| |#3| (QUOTE -4226)) (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (QUOTE (-341))) (|HasCategory| |#3| (QUOTE (-662))) (|HasCategory| |#3| (QUOTE (-124))) (|HasCategory| |#3| (QUOTE (-25))) (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (QUOTE (-1012)))) -(-214 -2621 R) +(-214 -2615 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"))) -((-4223 |has| |#2| (-969)) (-4224 |has| |#2| (-969)) (-4226 |has| |#2| (-6 -4226)) ((-4231 "*") |has| |#2| (-157)) (-4229 . T) (-2093 . T)) +((-4223 |has| |#2| (-969)) (-4224 |has| |#2| (-969)) (-4226 |has| |#2| (-6 -4226)) ((-4231 "*") |has| |#2| (-157)) (-4229 . T) (-2046 . T)) NIL -(-215 -2621 A B) +(-215 -2615 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 -(-216 -2621 R) +(-216 -2615 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."))) ((-4223 |has| |#2| (-969)) (-4224 |has| |#2| (-969)) (-4226 |has| |#2| (-6 -4226)) ((-4231 "*") |has| |#2| (-157)) (-4229 . T)) ((|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (QUOTE (-728))) (|HasCategory| |#2| (QUOTE (-781))) (-3700 (|HasCategory| |#2| (QUOTE (-728))) (|HasCategory| |#2| (QUOTE (-781)))) (|HasCategory| |#2| (QUOTE (-157))) (-3700 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (QUOTE (-969)))) (-3700 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (QUOTE (-336)))) (-3700 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (QUOTE (-969)))) (|HasCategory| |#2| (QUOTE (-341))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#2| (QUOTE (-209))) (-3700 (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (QUOTE (-969)))) (-3700 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(QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-124))) (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (QUOTE (-969)))) (-3700 (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-25)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-124)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-157)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-209)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-336)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-341)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-728)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-781)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-969)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-1012))))) (-3700 (-12 (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-124))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-341))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-728))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-781))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520)))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-3700 (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-124))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-341))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-728))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-781))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (QUOTE (-969)))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) @@ -810,7 +810,7 @@ NIL NIL (-220 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."))) -((-2093 . T)) +((-2046 . T)) NIL (-221 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}"))) @@ -830,11 +830,11 @@ NIL NIL (-225 |n| R M S) ((|constructor| (NIL "This constructor provides a direct product type with a left matrix-module view."))) -((-4226 -3700 (-4005 (|has| |#4| (-969)) (|has| |#4| (-209))) (-4005 (|has| |#4| (-969)) (|has| |#4| (-828 (-1083)))) (|has| |#4| (-6 -4226)) (-4005 (|has| |#4| (-969)) (|has| |#4| (-582 (-520))))) (-4223 |has| |#4| (-969)) (-4224 |has| |#4| (-969)) ((-4231 "*") |has| |#4| (-157)) (-4229 . T)) +((-4226 -3700 (-4006 (|has| |#4| (-969)) (|has| |#4| (-209))) (-4006 (|has| |#4| (-969)) (|has| |#4| (-828 (-1083)))) (|has| |#4| (-6 -4226)) (-4006 (|has| |#4| (-969)) (|has| |#4| (-582 (-520))))) (-4223 |has| |#4| (-969)) (-4224 |has| |#4| (-969)) ((-4231 "*") |has| |#4| (-157)) (-4229 . T)) ((|HasCategory| |#4| (QUOTE (-336))) (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (QUOTE (-728))) (|HasCategory| |#4| (QUOTE (-781))) (-3700 (|HasCategory| |#4| (QUOTE (-728))) (|HasCategory| |#4| (QUOTE (-781)))) (|HasCategory| |#4| (QUOTE (-157))) (-3700 (|HasCategory| |#4| (QUOTE (-157))) (|HasCategory| |#4| (QUOTE (-336))) (|HasCategory| |#4| (QUOTE (-969)))) (-3700 (|HasCategory| |#4| (QUOTE (-157))) (|HasCategory| |#4| (QUOTE (-336)))) (-3700 (|HasCategory| |#4| (QUOTE (-157))) (|HasCategory| |#4| (QUOTE (-969)))) (|HasCategory| |#4| (QUOTE (-341))) (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#4| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#4| (QUOTE (-209))) (-3700 (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#4| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#4| (QUOTE (-157))) (|HasCategory| |#4| (QUOTE (-209))) (|HasCategory| |#4| (QUOTE (-969)))) (|HasCategory| |#4| (QUOTE (-1012))) (|HasCategory| (-520) (QUOTE (-783))) (|HasCategory| |#4| (QUOTE (-662))) (-12 (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#4| (QUOTE (-209))) (|HasCategory| |#4| (QUOTE (-969)))) (-12 (|HasCategory| |#4| (QUOTE (-1012))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-3700 (-12 (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-157))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-209))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-336))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-341))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-728))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-781))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-1012))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520)))))) (-3700 (|HasCategory| |#4| (QUOTE (-969))) (-12 (|HasCategory| |#4| (QUOTE (-1012))) (|HasCategory| |#4| (LIST (QUOTE -960) (QUOTE (-520)))))) (-12 (|HasCategory| |#4| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#4| (QUOTE (-1012)))) (-3700 (-12 (|HasCategory| |#4| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#4| (LIST 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|#4| (QUOTE -4226)) (-12 (|HasCategory| |#4| (QUOTE (-209))) (|HasCategory| |#4| (QUOTE (-969)))) (-12 (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#4| (QUOTE (-124))) (|HasCategory| |#4| (QUOTE (-25))) (-12 (|HasCategory| |#4| (QUOTE (-1012))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-3700 (-12 (|HasCategory| |#4| (QUOTE (-157))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-209))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-336))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-341))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-728))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-781))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-969))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (QUOTE (-1012))) (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|)))) (-12 (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|))) (|HasCategory| |#4| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#4| (LIST (QUOTE -283) (|devaluate| |#4|))) (|HasCategory| |#4| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#4| (LIST (QUOTE -560) (QUOTE (-791))))) (-226 |n| R S) ((|constructor| (NIL "This constructor provides a direct product of \\spad{R}-modules with an \\spad{R}-module view."))) -((-4226 -3700 (-4005 (|has| |#3| (-969)) (|has| |#3| (-209))) (-4005 (|has| |#3| (-969)) (|has| |#3| (-828 (-1083)))) (|has| |#3| (-6 -4226)) (-4005 (|has| |#3| (-969)) (|has| |#3| (-582 (-520))))) (-4223 |has| |#3| (-969)) (-4224 |has| |#3| (-969)) ((-4231 "*") |has| |#3| (-157)) (-4229 . T)) +((-4226 -3700 (-4006 (|has| |#3| (-969)) (|has| |#3| (-209))) (-4006 (|has| |#3| (-969)) (|has| |#3| (-828 (-1083)))) (|has| |#3| (-6 -4226)) (-4006 (|has| |#3| (-969)) (|has| |#3| (-582 (-520))))) (-4223 |has| |#3| (-969)) (-4224 |has| |#3| (-969)) ((-4231 "*") |has| |#3| (-157)) (-4229 . T)) ((|HasCategory| |#3| (QUOTE (-336))) (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (QUOTE (-728))) (|HasCategory| |#3| (QUOTE (-781))) (-3700 (|HasCategory| |#3| (QUOTE (-728))) (|HasCategory| |#3| (QUOTE (-781)))) (|HasCategory| |#3| (QUOTE (-157))) (-3700 (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (QUOTE (-336))) (|HasCategory| |#3| (QUOTE (-969)))) (-3700 (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (QUOTE (-336)))) (-3700 (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (QUOTE (-969)))) (|HasCategory| |#3| (QUOTE (-341))) (|HasCategory| |#3| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#3| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#3| (QUOTE (-209))) (-3700 (|HasCategory| |#3| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#3| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (QUOTE (-209))) (|HasCategory| |#3| (QUOTE (-969)))) (|HasCategory| |#3| (QUOTE (-1012))) (|HasCategory| (-520) (QUOTE (-783))) (|HasCategory| |#3| (QUOTE (-662))) (-12 (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#3| (QUOTE (-209))) (|HasCategory| |#3| (QUOTE (-969)))) (-12 (|HasCategory| |#3| (QUOTE (-1012))) (|HasCategory| |#3| (LIST (QUOTE -960) (QUOTE (-520))))) (-3700 (-12 (|HasCategory| |#3| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#3| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| |#3| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (QUOTE (-209))) (|HasCategory| |#3| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (QUOTE (-336))) (|HasCategory| |#3| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 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(QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-157)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-209)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-336)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-341)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-728)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-781)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-969)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#3| (QUOTE (-1012))))) (-3700 (|HasAttribute| |#3| (QUOTE -4226)) (-12 (|HasCategory| |#3| (QUOTE (-209))) (|HasCategory| |#3| (QUOTE (-969)))) (-12 (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#3| (QUOTE (-124))) (|HasCategory| |#3| (QUOTE (-25))) (-12 (|HasCategory| |#3| (QUOTE (-1012))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-3700 (-12 (|HasCategory| |#3| (QUOTE (-157))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-209))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-336))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-341))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-728))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-781))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-969))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (QUOTE (-1012))) (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|)))) (-12 (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|))) (|HasCategory| |#3| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#3| (LIST (QUOTE -283) (|devaluate| |#3|))) (|HasCategory| |#3| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#3| (LIST (QUOTE -560) (QUOTE (-791))))) (-227 A R S V E) ((|constructor| (NIL "\\spadtype{DifferentialPolynomialCategory} is a category constructor specifying basic functions in an ordinary differential polynomial ring with a given ordered set of differential indeterminates. In addition,{} it implements defaults for the basic functions. The functions \\spadfun{order} and \\spadfun{weight} are extended from the set of derivatives of differential indeterminates to the set of differential polynomials. Other operations provided on differential polynomials are \\spadfun{leader},{} \\spadfun{initial},{} \\spadfun{separant},{} \\spadfun{differentialVariables},{} and \\spadfun{isobaric?}. Furthermore,{} if the ground ring is a differential ring,{} then evaluation (substitution of differential indeterminates by elements of the ground ring or by differential polynomials) is provided by \\spadfun{eval}. A convenient way of referencing derivatives is provided by the functions \\spadfun{makeVariable}. \\blankline To construct a domain using this constructor,{} one needs to provide a ground ring \\spad{R},{} an ordered set \\spad{S} of differential indeterminates,{} a ranking \\spad{V} on the set of derivatives of the differential indeterminates,{} and a set \\spad{E} of exponents in bijection with the set of differential monomials in the given differential indeterminates. \\blankline")) (|separant| (($ $) "\\spad{separant(p)} returns the partial derivative of the differential polynomial \\spad{p} with respect to its leader.")) (|initial| (($ $) "\\spad{initial(p)} returns the leading coefficient when the differential polynomial \\spad{p} is written as a univariate polynomial in its leader.")) (|leader| ((|#4| $) "\\spad{leader(p)} returns the derivative of the highest rank appearing in the differential polynomial \\spad{p} Note: an error occurs if \\spad{p} is in the ground ring.")) (|isobaric?| (((|Boolean|) $) "\\spad{isobaric?(p)} returns \\spad{true} if every differential monomial appearing in the differential polynomial \\spad{p} has same weight,{} and returns \\spad{false} otherwise.")) (|weight| (((|NonNegativeInteger|) $ |#3|) "\\spad{weight(p,{} s)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|NonNegativeInteger|) $) "\\spad{weight(p)} returns the maximum weight of all differential monomials appearing in the differential polynomial \\spad{p}.")) (|weights| (((|List| (|NonNegativeInteger|)) $ |#3|) "\\spad{weights(p,{} s)} returns a list of weights of differential monomials appearing in the differential polynomial \\spad{p} when \\spad{p} is viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.") (((|List| (|NonNegativeInteger|)) $) "\\spad{weights(p)} returns a list of weights of differential monomials appearing in differential polynomial \\spad{p}.")) (|degree| (((|NonNegativeInteger|) $ |#3|) "\\spad{degree(p,{} s)} returns the maximum degree of the differential polynomial \\spad{p} viewed as a differential polynomial in the differential indeterminate \\spad{s} alone.")) (|order| (((|NonNegativeInteger|) $) "\\spad{order(p)} returns the order of the differential polynomial \\spad{p},{} which is the maximum number of differentiations of a differential indeterminate,{} among all those appearing in \\spad{p}.") (((|NonNegativeInteger|) $ |#3|) "\\spad{order(p,{}s)} returns the order of the differential polynomial \\spad{p} in differential indeterminate \\spad{s}.")) (|differentialVariables| (((|List| |#3|) $) "\\spad{differentialVariables(p)} returns a list of differential indeterminates occurring in a differential polynomial \\spad{p}.")) (|makeVariable| (((|Mapping| $ (|NonNegativeInteger|)) $) "\\spad{makeVariable(p)} views \\spad{p} as an element of a differential ring,{} in such a way that the \\spad{n}-th derivative of \\spad{p} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} \\spad{:=} makeVariable(\\spad{p}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored.") (((|Mapping| $ (|NonNegativeInteger|)) |#3|) "\\spad{makeVariable(s)} views \\spad{s} as a differential indeterminate,{} in such a way that the \\spad{n}-th derivative of \\spad{s} may be simply referenced as \\spad{z}.\\spad{n} where \\spad{z} :=makeVariable(\\spad{s}). Note: In the interpreter,{} \\spad{z} is given as an internal map,{} which may be ignored."))) @@ -846,7 +846,7 @@ NIL NIL (-229 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}."))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-230) ((|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."))) @@ -954,7 +954,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012)))) (-256 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}."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-257 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}."))) @@ -980,7 +980,7 @@ 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 -(-263 S R |Mod| -2091 -3478 |exactQuo|) +(-263 S R |Mod| -2742 -1819 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4222 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) NIL @@ -989,7 +989,7 @@ NIL ((-4222 . T) (-4223 . T) (-4224 . T) (-4226 . T)) NIL (-265) -((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 18,{} 2008. An `Environment' is a stack of scope.")) (|categoryFrame| (($) "the current category environment in the interpreter.")) (|currentEnv| (($) "the current normal environment in effect.")) (|setProperties!| (($ (|Symbol|) (|List| (|ObjectProperty|)) $) "setBinding!(\\spad{n},{}props,{}\\spad{e}) set the list of properties of \\spad{`n'} to `props' in `e'.")) (|getProperties| (((|Union| (|List| (|ObjectProperty|)) "failed") (|Symbol|) $) "getBinding(\\spad{n},{}\\spad{e}) returns the list of properties of \\spad{`n'} in \\spad{e}; otherwise `failed'.")) (|setProperty!| (($ (|Symbol|) (|Symbol|) (|SExpression|) $) "\\spad{setProperty!(n,{}p,{}v,{}e)} binds the property `(\\spad{p},{}\\spad{v})' to \\spad{`n'} in the topmost scope of `e'.")) (|getProperty| (((|Union| (|SExpression|) "failed") (|Symbol|) (|Symbol|) $) "\\spad{getProperty(n,{}p,{}e)} returns the value of property with name \\spad{`p'} for the symbol \\spad{`n'} in environment `e'. Otherwise,{} `failed'.")) (|scopes| (((|List| (|Scope|)) $) "\\spad{scopes(e)} returns the stack of scopes in environment \\spad{e}.")) (|empty| (($) "\\spad{empty()} constructs an empty environment"))) +((|constructor| (NIL "\\indented{1}{Author: Gabriel Dos Reis} Date Created: October 24,{} 2007 Date Last Modified: January 19,{} 2008. An `Environment' is a stack of scope.")) (|categoryFrame| (($) "the current category environment in the interpreter.")) (|currentEnv| (($) "the current normal environment in effect.")) (|setProperties!| (($ (|Symbol|) (|List| (|ObjectProperty|)) $) "setBinding!(\\spad{n},{}props,{}\\spad{e}) set the list of properties of \\spad{`n'} to `props' in `e'.")) (|getProperties| (((|Union| (|List| (|ObjectProperty|)) "failed") (|Symbol|) $) "getBinding(\\spad{n},{}\\spad{e}) returns the list of properties of \\spad{`n'} in \\spad{e}; otherwise `failed'.")) (|setProperty!| (($ (|Symbol|) (|Symbol|) (|SExpression|) $) "\\spad{setProperty!(n,{}p,{}v,{}e)} binds the property `(\\spad{p},{}\\spad{v})' to \\spad{`n'} in the topmost scope of `e'.")) (|getProperty| (((|Union| (|SExpression|) "failed") (|Symbol|) (|Symbol|) $) "\\spad{getProperty(n,{}p,{}e)} returns the value of property with name \\spad{`p'} for the symbol \\spad{`n'} in environment `e'. Otherwise,{} `failed'.")) (|scopes| (((|List| (|Scope|)) $) "\\spad{scopes(e)} returns the stack of scopes in environment \\spad{e}.")) (|empty| (($) "\\spad{empty()} constructs an empty environment"))) NIL NIL (-266 R) @@ -1007,7 +1007,7 @@ NIL (-269 |Key| |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are compared using \\spadfun{eq?}. Thus keys are considered equal only if they are the same instance of a structure."))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-270) ((|constructor| (NIL "ErrorFunctions implements error functions callable from the system interpreter. Typically,{} these functions would be called in user functions. The simple forms of the functions take one argument which is either a string (an error message) or a list of strings which all together make up a message. The list can contain formatting codes (see below). The more sophisticated versions takes two arguments where the first argument is the name of the function from which the error was invoked and the second argument is either a string or a list of strings,{} as above. When you use the one argument version in an interpreter function,{} the system will automatically insert the name of the function as the new first argument. Thus in the user interpreter function \\indented{2}{\\spad{f x == if x < 0 then error \"negative argument\" else x}} the call to error will actually be of the form \\indented{2}{\\spad{error(\"f\",{}\"negative argument\")}} because the interpreter will have created a new first argument. \\blankline Formatting codes: error messages may contain the following formatting codes (they should either start or end a string or else have blanks around them): \\indented{3}{\\spad{\\%l}\\space{6}start a new line} \\indented{3}{\\spad{\\%b}\\space{6}start printing in a bold font (where available)} \\indented{3}{\\spad{\\%d}\\space{6}stop\\space{2}printing in a bold font (where available)} \\indented{3}{\\spad{ \\%ceon}\\space{2}start centering message lines} \\indented{3}{\\spad{\\%ceoff}\\space{2}stop\\space{2}centering message lines} \\indented{3}{\\spad{\\%rjon}\\space{3}start displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%rjoff}\\space{2}stop\\space{2}displaying lines \"ragged left\"} \\indented{3}{\\spad{\\%i}\\space{6}indent\\space{3}following lines 3 additional spaces} \\indented{3}{\\spad{\\%u}\\space{6}unindent following lines 3 additional spaces} \\indented{3}{\\spad{\\%xN}\\space{5}insert \\spad{N} blanks (eg,{} \\spad{\\%x10} inserts 10 blanks)} \\blankline")) (|error| (((|Exit|) (|String|) (|List| (|String|))) "\\spad{error(nam,{}lmsg)} displays error messages \\spad{lmsg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|String|) (|String|)) "\\spad{error(nam,{}msg)} displays error message \\spad{msg} preceded by a message containing the name \\spad{nam} of the function in which the error is contained.") (((|Exit|) (|List| (|String|))) "\\spad{error(lmsg)} displays error message \\spad{lmsg} and terminates.") (((|Exit|) (|String|)) "\\spad{error(msg)} displays error message \\spad{msg} and terminates."))) NIL @@ -1086,7 +1086,7 @@ NIL NIL (-289 R) ((|constructor| (NIL "Expressions involving symbolic functions.")) (|squareFreePolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{squareFreePolynomial(p)} \\undocumented{}")) (|factorPolynomial| (((|Factored| (|SparseUnivariatePolynomial| $)) (|SparseUnivariatePolynomial| $)) "\\spad{factorPolynomial(p)} \\undocumented{}")) (|simplifyPower| (($ $ (|Integer|)) "simplifyPower?(\\spad{f},{}\\spad{n}) \\undocumented{}")) (|number?| (((|Boolean|) $) "\\spad{number?(f)} tests if \\spad{f} is rational")) (|reduce| (($ $) "\\spad{reduce(f)} simplifies all the unreduced algebraic quantities present in \\spad{f} by applying their defining relations."))) -((-4226 -3700 (-4005 (|has| |#1| (-969)) (|has| |#1| (-582 (-520)))) (-12 (|has| |#1| (-512)) (-3700 (-4005 (|has| |#1| (-969)) (|has| |#1| (-582 (-520)))) (|has| |#1| (-969)) (|has| |#1| (-445)))) (|has| |#1| (-969)) (|has| |#1| (-445))) (-4224 |has| |#1| (-157)) (-4223 |has| |#1| (-157)) ((-4231 "*") |has| |#1| (-512)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-512)) (-4221 |has| |#1| (-512))) +((-4226 -3700 (-4006 (|has| |#1| (-969)) (|has| |#1| (-582 (-520)))) (-12 (|has| |#1| (-512)) (-3700 (-4006 (|has| |#1| (-969)) (|has| |#1| (-582 (-520)))) (|has| |#1| (-969)) (|has| |#1| (-445)))) (|has| |#1| (-969)) (|has| |#1| (-445))) (-4224 |has| |#1| (-157)) (-4223 |has| |#1| (-157)) ((-4231 "*") |has| |#1| (-512)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-512)) (-4221 |has| |#1| (-512))) ((|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-969))) (-3700 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-969)))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-445))) (|HasCategory| |#1| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-520)))) (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-352)))) (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-352))))) (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-520))))) (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520))))) (-3700 (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-969)))) (-12 (|HasCategory| |#1| (QUOTE (-424))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-445))) (|HasCategory| |#1| (QUOTE (-512)))) (-12 (|HasCategory| |#1| (QUOTE (-969))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520))))) (-3700 (|HasCategory| |#1| (QUOTE (-969))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520))))) (-3700 (|HasCategory| |#1| (QUOTE (-445))) (|HasCategory| |#1| (QUOTE (-969)))) (|HasCategory| |#1| (QUOTE (-21))) (-3700 (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-969)))) (-3700 (|HasCategory| |#1| (QUOTE (-21))) (-12 (|HasCategory| |#1| (QUOTE (-969))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))))) (|HasCategory| |#1| (QUOTE (-25))) (-3700 (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-21))) (|HasCategory| |#1| (QUOTE (-25))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-969)))) (-3700 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-969))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))))) (|HasCategory| |#1| (QUOTE (-1024))) (-3700 (|HasCategory| |#1| (QUOTE (-445))) (|HasCategory| |#1| (QUOTE (-1024)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-969))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-1024)))) (-3700 (|HasCategory| |#1| (QUOTE (-25))) (-12 (|HasCategory| |#1| (QUOTE (-969))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-1024)))) (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (-3700 (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520)))))) (-3700 (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512)))) (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520)))))) (|HasCategory| $ (QUOTE (-969))) (|HasCategory| $ (LIST (QUOTE -960) (QUOTE (-520))))) (-290 R -4045) ((|constructor| (NIL "Taylor series solutions of explicit ODE\\spad{'s}.")) (|seriesSolve| (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} [b0,{}...,{}bn])} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} [b0,{}...,{}b(n-1)])}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{} y,{} x = a,{} y a = b)} is equivalent to \\spad{seriesSolve(eq=0,{} y,{} x=a,{} y a = b)}.") (((|Any|) |#2| (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{} y,{} x = a,{} b)} is equivalent to \\spad{seriesSolve(eq = 0,{} y,{} x = a,{} y a = b)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) |#2|) "\\spad{seriesSolve(eq,{}y,{} x=a,{} b)} is equivalent to \\spad{seriesSolve(eq,{} y,{} x=a,{} y a = b)}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{}[y1 a = b1,{}...,{} yn a = bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| |#2|) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1=0,{}...,{}eqn=0],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x=a,{} [b1,{}...,{}bn])} is equivalent to \\spad{seriesSolve([eq1,{}...,{}eqn],{} [y1,{}...,{}yn],{} x = a,{} [y1 a = b1,{}...,{} yn a = bn])}.") (((|Any|) (|List| (|Equation| |#2|)) (|List| (|BasicOperator|)) (|Equation| |#2|) (|List| (|Equation| |#2|))) "\\spad{seriesSolve([eq1,{}...,{}eqn],{}[y1,{}...,{}yn],{}x = a,{}[y1 a = b1,{}...,{}yn a = bn])} returns a taylor series solution of \\spad{[eq1,{}...,{}eqn]} around \\spad{x = a} with initial conditions \\spad{\\spad{yi}(a) = \\spad{bi}}. Note: eqi must be of the form \\spad{\\spad{fi}(x,{} y1 x,{} y2 x,{}...,{} yn x) y1'(x) + \\spad{gi}(x,{} y1 x,{} y2 x,{}...,{} yn x) = h(x,{} y1 x,{} y2 x,{}...,{} yn x)}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|List| |#2|)) "\\spad{seriesSolve(eq,{}y,{}x=a,{}[b0,{}...,{}b(n-1)])} returns a Taylor series solution of \\spad{eq} around \\spad{x = a} with initial conditions \\spad{y(a) = b0},{} \\spad{y'(a) = b1},{} \\spad{y''(a) = b2},{} ...,{}\\spad{y(n-1)(a) = b(n-1)} \\spad{eq} must be of the form \\spad{f(x,{} y x,{} y'(x),{}...,{} y(n-1)(x)) y(n)(x) + g(x,{}y x,{}y'(x),{}...,{}y(n-1)(x)) = h(x,{}y x,{} y'(x),{}...,{} y(n-1)(x))}.") (((|Any|) (|Equation| |#2|) (|BasicOperator|) (|Equation| |#2|) (|Equation| |#2|)) "\\spad{seriesSolve(eq,{}y,{}x=a,{} y a = b)} returns a Taylor series solution of \\spad{eq} around \\spad{x} = a with initial condition \\spad{y(a) = b}. Note: \\spad{eq} must be of the form \\spad{f(x,{} y x) y'(x) + g(x,{} y x) = h(x,{} y x)}."))) @@ -1099,7 +1099,7 @@ NIL (-292 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."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4223 . T) (-4224 . T) (-4226 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2222) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -1213) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2188) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -3517) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) (-293 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 @@ -1314,7 +1314,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4230)) (|HasCategory| |#2| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012)))) (-346 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|) $ $) "\\spad{merge(p,{}a,{}b)} returns an aggregate \\spad{c} which merges \\axiom{a} and \\spad{b}. The result is produced by examining each element \\spad{x} of \\axiom{a} and \\spad{y} of \\spad{b} successively. If \\axiom{\\spad{p}(\\spad{x},{}\\spad{y})} is \\spad{true},{} then \\spad{x} is inserted into the result; otherwise \\spad{y} is inserted. If \\spad{x} is chosen,{} the next element of \\axiom{a} is examined,{} and so on. When all the elements of one aggregate are examined,{} the remaining elements of the other are appended. For example,{} \\axiom{merge(<,{}[1,{}3],{}[2,{}7,{}5])} returns \\axiom{[1,{}2,{}3,{}7,{}5]}."))) -((-4229 . T) (-2093 . T)) +((-4229 . T) (-2046 . T)) NIL (-347 |VarSet| R) ((|constructor| (NIL "The category of free Lie algebras. It is used by domains of non-commutative algebra: \\spadtype{LiePolynomial} and \\spadtype{XPBWPolynomial}. \\newline Author: Michel Petitot (petitot@lifl.\\spad{fr})")) (|eval| (($ $ (|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|) $) "\\axiom{coef(\\spad{x},{}\\spad{y})} returns the scalar product of \\axiom{\\spad{x}} by \\axiom{\\spad{y}},{} the set of words being regarded as an orthogonal basis."))) @@ -1354,11 +1354,11 @@ NIL NIL (-356) ((|constructor| (NIL "\\axiomType{FortranMatrixCategory} provides support for producing Functions and Subroutines when the input to these is an AXIOM object of type \\axiomType{Matrix} or in domains involving \\axiomType{FortranCode}.")) (|coerce| (($ (|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}."))) -((-2093 . T)) +((-2046 . T)) NIL (-357) ((|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.}"))) -((-2093 . T)) +((-2046 . T)) NIL (-358 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."))) @@ -1402,17 +1402,17 @@ NIL NIL (-368) ((|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."))) -((-2093 . T)) +((-2046 . T)) NIL (-369) ((|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.}"))) -((-2093 . T)) +((-2046 . T)) NIL (-370) ((|constructor| (NIL "provides an interface to the boot code for calling Fortran")) (|setLegalFortranSourceExtensions| (((|List| (|String|)) (|List| (|String|))) "\\spad{setLegalFortranSourceExtensions(l)} \\undocumented{}")) (|outputAsFortran| (((|Void|) (|FileName|)) "\\spad{outputAsFortran(fn)} \\undocumented{}")) (|linkToFortran| (((|SExpression|) (|Symbol|) (|List| (|Symbol|)) (|TheSymbolTable|) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}t,{}lv)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|)) (|Symbol|)) "\\spad{linkToFortran(s,{}l,{}ll,{}lv,{}t)} \\undocumented{}") (((|SExpression|) (|Symbol|) (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|)))) (|List| (|List| (|Union| (|:| |array| (|List| (|Symbol|))) (|:| |scalar| (|Symbol|))))) (|List| (|Symbol|))) "\\spad{linkToFortran(s,{}l,{}ll,{}lv)} \\undocumented{}"))) NIL NIL -(-371 -2889 |returnType| |arguments| |symbols|) +(-371 -2883 |returnType| |arguments| |symbols|) ((|constructor| (NIL "\\axiomType{FortranProgram} allows the user to build and manipulate simple models of FORTRAN subprograms. These can then be transformed into actual FORTRAN notation.")) (|coerce| (($ (|Equation| (|Expression| (|Complex| (|Float|))))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Float|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|Integer|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|Complex| (|Float|)))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Float|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|Integer|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineComplex|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineFloat|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Equation| (|Expression| (|MachineInteger|)))) "\\spad{coerce(eq)} \\undocumented{}") (($ (|Expression| (|MachineComplex|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineFloat|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Expression| (|MachineInteger|))) "\\spad{coerce(e)} \\undocumented{}") (($ (|Record| (|:| |localSymbols| (|SymbolTable|)) (|:| |code| (|List| (|FortranCode|))))) "\\spad{coerce(r)} \\undocumented{}") (($ (|List| (|FortranCode|))) "\\spad{coerce(lfc)} \\undocumented{}") (($ (|FortranCode|)) "\\spad{coerce(fc)} \\undocumented{}"))) NIL NIL @@ -1422,7 +1422,7 @@ NIL NIL (-373 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)."))) -((-2093 . T)) +((-2046 . T)) NIL (-374 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."))) @@ -1522,7 +1522,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-341)))) (-398 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}."))) -((-4229 . T) (-4219 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4219 . T) (-4230 . T) (-2046 . T)) NIL (-399 R -4045) ((|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."))) @@ -1542,7 +1542,7 @@ NIL ((|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| |#2| (QUOTE (-512))) (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-135))) (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (QUOTE (-445))) (|HasCategory| |#2| (QUOTE (-1024))) (|HasCategory| |#2| (LIST (QUOTE -561) (QUOTE (-496))))) (-403 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}."))) -((-4226 -3700 (|has| |#1| (-969)) (|has| |#1| (-445))) (-4224 |has| |#1| (-157)) (-4223 |has| |#1| (-157)) ((-4231 "*") |has| |#1| (-512)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-512)) (-4221 |has| |#1| (-512)) (-2093 . T)) +((-4226 -3700 (|has| |#1| (-969)) (|has| |#1| (-445))) (-4224 |has| |#1| (-157)) (-4223 |has| |#1| (-157)) ((-4231 "*") |has| |#1| (-512)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-512)) (-4221 |has| |#1| (-512)) (-2046 . T)) NIL (-404 R -4045) ((|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."))) @@ -1578,11 +1578,11 @@ NIL NIL (-412) ((|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}."))) -((-2093 . T)) +((-2046 . T)) NIL (-413) ((|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.}"))) -((-2093 . T)) +((-2046 . T)) NIL (-414 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."))) @@ -1715,11 +1715,11 @@ NIL (-446 |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."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4223 . T) (-4224 . T) (-4226 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2222) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -1213) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2188) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -3517) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) (-447 |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."))) ((-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-448 R E V P) ((|constructor| (NIL "A domain constructor of the category \\axiomType{TriangularSetCategory}. The only requirement for a list of polynomials to be a member of such a domain is the following: no polynomial is constant and two distinct polynomials have distinct main variables. Such a triangular set may not be auto-reduced or consistent. Triangular sets are stored as sorted lists \\spad{w}.\\spad{r}.\\spad{t}. the main variables of their members but they are displayed in reverse order.\\newline References : \\indented{1}{[1] \\spad{P}. AUBRY,{} \\spad{D}. LAZARD and \\spad{M}. MORENO MAZA \"On the Theories} \\indented{5}{of Triangular Sets\" Journal of Symbol. Comp. (to appear)}"))) ((-4230 . T) (-4229 . T)) @@ -1731,7 +1731,7 @@ NIL (-450 |Key| |Entry| |hashfn|) ((|constructor| (NIL "This domain provides access to the underlying Lisp hash tables. By varying the hashfn parameter,{} tables suited for different purposes can be obtained."))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-451) ((|constructor| (NIL "\\indented{1}{Author : Larry Lambe} Date Created : August 1988 Date Last Updated : March 9 1990 Related Constructors: OrderedSetInts,{} Commutator,{} FreeNilpotentLie AMS Classification: Primary 17B05,{} 17B30; Secondary 17A50 Keywords: free Lie algebra,{} Hall basis,{} basic commutators Description : Generate a basis for the free Lie algebra on \\spad{n} generators over a ring \\spad{R} with identity up to basic commutators of length \\spad{c} using the algorithm of \\spad{P}. Hall as given in Serre\\spad{'s} book Lie Groups \\spad{--} Lie Algebras")) (|generate| (((|Vector| (|List| (|Integer|))) (|NonNegativeInteger|) (|NonNegativeInteger|)) "\\spad{generate(numberOfGens,{} maximalWeight)} generates a vector of elements of the form [left,{}weight,{}right] which represents a \\spad{P}. Hall basis element for the free lie algebra on \\spad{numberOfGens} generators. We only generate those basis elements of weight less than or equal to maximalWeight")) (|inHallBasis?| (((|Boolean|) (|Integer|) (|Integer|) (|Integer|) (|Integer|)) "\\spad{inHallBasis?(numberOfGens,{} leftCandidate,{} rightCandidate,{} left)} tests to see if a new element should be added to the \\spad{P}. Hall basis being constructed. The list \\spad{[leftCandidate,{}wt,{}rightCandidate]} is included in the basis if in the unique factorization of \\spad{rightCandidate},{} we have left factor leftOfRight,{} and leftOfRight \\spad{<=} \\spad{leftCandidate}")) (|lfunc| (((|Integer|) (|Integer|) (|Integer|)) "\\spad{lfunc(d,{}n)} computes the rank of the \\spad{n}th factor in the lower central series of the free \\spad{d}-generated free Lie algebra; This rank is \\spad{d} if \\spad{n} = 1 and binom(\\spad{d},{}2) if \\spad{n} = 2"))) NIL @@ -1740,7 +1740,7 @@ 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.")) 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(|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (QUOTE (-969)))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) @@ -1766,7 +1766,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4229)) (|HasAttribute| |#1| (QUOTE -4230)) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-459 S) ((|constructor| (NIL "A homogeneous aggregate is an aggregate of elements all of the same type. In the current system,{} all aggregates are homogeneous. Two attributes characterize classes of aggregates. Aggregates from domains with attribute \\spadatt{finiteAggregate} have a finite number of members. Those with attribute \\spadatt{shallowlyMutable} allow an element to be modified or updated without changing its overall value.")) (|member?| (((|Boolean|) |#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|) $) "\\spad{map(f,{}u)} returns a copy of \\spad{u} with each element \\spad{x} replaced by \\spad{f}(\\spad{x}). For collections,{} \\axiom{map(\\spad{f},{}\\spad{u}) = [\\spad{f}(\\spad{x}) for \\spad{x} in \\spad{u}]}."))) -((-2093 . T)) +((-2046 . T)) NIL (-460 S) ((|constructor| (NIL "Category for the hyperbolic trigonometric functions.")) (|tanh| (($ $) "\\spad{tanh(x)} returns the hyperbolic tangent of \\spad{x}.")) (|sinh| (($ $) "\\spad{sinh(x)} returns the hyperbolic sine of \\spad{x}.")) (|sech| (($ $) "\\spad{sech(x)} returns the hyperbolic secant of \\spad{x}.")) (|csch| (($ $) "\\spad{csch(x)} returns the hyperbolic cosecant of \\spad{x}.")) (|coth| (($ $) "\\spad{coth(x)} returns the hyperbolic cotangent of \\spad{x}.")) (|cosh| (($ $) "\\spad{cosh(x)} returns the hyperbolic cosine of \\spad{x}."))) @@ -1955,7 +1955,7 @@ NIL (-506 |Key| |Entry| |addDom|) ((|constructor| (NIL "This domain is used to provide a conditional \"add\" domain for the implementation of \\spadtype{Table}."))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-507 R -4045) ((|constructor| (NIL "This package provides functions for the integration of algebraic integrands over transcendental functions.")) (|algint| (((|IntegrationResult| |#2|) |#2| (|Kernel| |#2|) (|Kernel| |#2|) (|Mapping| (|SparseUnivariatePolynomial| |#2|) (|SparseUnivariatePolynomial| |#2|))) "\\spad{algint(f,{} x,{} y,{} d)} returns the integral of \\spad{f(x,{}y)dx} where \\spad{y} is an algebraic function of \\spad{x}; \\spad{d} is the derivation to use on \\spad{k[x]}."))) NIL @@ -2111,7 +2111,7 @@ NIL (-545 |Coef|) ((|constructor| (NIL "InnerSparseUnivariatePowerSeries is an internal domain \\indented{2}{used for creating sparse Taylor and Laurent series.}")) (|cAcsch| (($ $) "\\spad{cAcsch(f)} computes the inverse hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsech| (($ $) "\\spad{cAsech(f)} computes the inverse hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcoth| (($ $) "\\spad{cAcoth(f)} computes the inverse hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtanh| (($ $) "\\spad{cAtanh(f)} computes the inverse hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcosh| (($ $) "\\spad{cAcosh(f)} computes the inverse hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsinh| (($ $) "\\spad{cAsinh(f)} computes the inverse hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsch| (($ $) "\\spad{cCsch(f)} computes the hyperbolic cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSech| (($ $) "\\spad{cSech(f)} computes the hyperbolic secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCoth| (($ $) "\\spad{cCoth(f)} computes the hyperbolic cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTanh| (($ $) "\\spad{cTanh(f)} computes the hyperbolic tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCosh| (($ $) "\\spad{cCosh(f)} computes the hyperbolic cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSinh| (($ $) "\\spad{cSinh(f)} computes the hyperbolic sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcsc| (($ $) "\\spad{cAcsc(f)} computes the arccosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsec| (($ $) "\\spad{cAsec(f)} computes the arcsecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcot| (($ $) "\\spad{cAcot(f)} computes the arccotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAtan| (($ $) "\\spad{cAtan(f)} computes the arctangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAcos| (($ $) "\\spad{cAcos(f)} computes the arccosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cAsin| (($ $) "\\spad{cAsin(f)} computes the arcsine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCsc| (($ $) "\\spad{cCsc(f)} computes the cosecant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSec| (($ $) "\\spad{cSec(f)} computes the secant of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCot| (($ $) "\\spad{cCot(f)} computes the cotangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cTan| (($ $) "\\spad{cTan(f)} computes the tangent of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cCos| (($ $) "\\spad{cCos(f)} computes the cosine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cSin| (($ $) "\\spad{cSin(f)} computes the sine of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cLog| (($ $) "\\spad{cLog(f)} computes the logarithm of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cExp| (($ $) "\\spad{cExp(f)} computes the exponential of the power series \\spad{f}. For use when the coefficient ring is commutative.")) (|cRationalPower| (($ $ (|Fraction| (|Integer|))) "\\spad{cRationalPower(f,{}r)} computes \\spad{f^r}. For use when the coefficient ring is commutative.")) (|cPower| (($ $ |#1|) "\\spad{cPower(f,{}r)} computes \\spad{f^r},{} where \\spad{f} has constant coefficient 1. For use when the coefficient ring is commutative.")) (|integrate| (($ $) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. Warning: function does not check for a term of degree \\spad{-1}.")) (|seriesToOutputForm| (((|OutputForm|) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) (|Reference| (|OrderedCompletion| (|Integer|))) (|Symbol|) |#1| (|Fraction| (|Integer|))) "\\spad{seriesToOutputForm(st,{}refer,{}var,{}cen,{}r)} prints the series \\spad{f((var - cen)^r)}.")) (|iCompose| (($ $ $) "\\spad{iCompose(f,{}g)} returns \\spad{f(g(x))}. This is an internal function which should only be called for Taylor series \\spad{f(x)} and \\spad{g(x)} such that the constant coefficient of \\spad{g(x)} is zero.")) (|taylorQuoByVar| (($ $) "\\spad{taylorQuoByVar(a0 + a1 x + a2 x**2 + ...)} returns \\spad{a1 + a2 x + a3 x**2 + ...}")) (|iExquo| (((|Union| $ "failed") $ $ (|Boolean|)) "\\spad{iExquo(f,{}g,{}taylor?)} is the quotient of the power series \\spad{f} and \\spad{g}. If \\spad{taylor?} is \\spad{true},{} then we must have \\spad{order(f) >= order(g)}.")) (|multiplyCoefficients| (($ (|Mapping| |#1| (|Integer|)) $) "\\spad{multiplyCoefficients(fn,{}f)} returns the series \\spad{sum(fn(n) * an * x^n,{}n = n0..)},{} where \\spad{f} is the series \\spad{sum(an * x^n,{}n = n0..)}.")) (|monomial?| (((|Boolean|) $) "\\spad{monomial?(f)} tests if \\spad{f} is a single monomial.")) (|series| (($ (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{series(st)} creates a series from a stream of non-zero terms,{} where a term is an exponent-coefficient pair. The terms in the stream should be ordered by increasing order of exponents.")) (|getStream| (((|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|))) $) "\\spad{getStream(f)} returns the stream of terms representing the series \\spad{f}.")) (|getRef| (((|Reference| (|OrderedCompletion| (|Integer|))) $) "\\spad{getRef(f)} returns a reference containing the order to which the terms of \\spad{f} have been computed.")) (|makeSeries| (($ (|Reference| (|OrderedCompletion| (|Integer|))) (|Stream| (|Record| (|:| |k| (|Integer|)) (|:| |c| |#1|)))) "\\spad{makeSeries(refer,{}str)} creates a power series from the reference \\spad{refer} and the stream \\spad{str}."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4223 . T) (-4224 . T) (-4226 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-520)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-520)) (|devaluate| |#1|))))) (|HasCategory| (-520) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-520))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -2222) (LIST (|devaluate| |#1|) (QUOTE (-1083))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-520)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-520)) (|devaluate| |#1|))))) (|HasCategory| (-520) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-520))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -2188) (LIST (|devaluate| |#1|) (QUOTE (-1083))))))) (-546 |Coef|) ((|constructor| (NIL "Internal package for dense Taylor series. This is an internal Taylor series type in which Taylor series are represented by a \\spadtype{Stream} of \\spadtype{Ring} elements. For univariate series,{} the \\spad{Stream} elements are the Taylor coefficients. For multivariate series,{} the \\spad{n}th Stream element is a form of degree \\spad{n} in the power series variables.")) (* (($ $ (|Integer|)) "\\spad{x*i} returns the product of integer \\spad{i} and the series \\spad{x}.") (($ $ |#1|) "\\spad{x*c} returns the product of \\spad{c} and the series \\spad{x}.") (($ |#1| $) "\\spad{c*x} returns the product of \\spad{c} and the series \\spad{x}.")) (|order| (((|NonNegativeInteger|) $ (|NonNegativeInteger|)) "\\spad{order(x,{}n)} returns the minimum of \\spad{n} and the order of \\spad{x}.") (((|NonNegativeInteger|) $) "\\spad{order(x)} returns the order of a power series \\spad{x},{} \\indented{1}{\\spadignore{i.e.} the degree of the first non-zero term of the series.}")) (|pole?| (((|Boolean|) $) "\\spad{pole?(x)} tests if the series \\spad{x} has a pole. \\indented{1}{Note: this is \\spad{false} when \\spad{x} is a Taylor series.}")) (|series| (($ (|Stream| |#1|)) "\\spad{series(s)} creates a power series from a stream of \\indented{1}{ring elements.} \\indented{1}{For univariate series types,{} the stream \\spad{s} should be a stream} \\indented{1}{of Taylor coefficients. For multivariate series types,{} the} \\indented{1}{stream \\spad{s} should be a stream of forms the \\spad{n}th element} \\indented{1}{of which is a} \\indented{1}{form of degree \\spad{n} in the power series variables.}")) (|coefficients| (((|Stream| |#1|) $) "\\spad{coefficients(x)} returns a stream of ring elements. \\indented{1}{When \\spad{x} is a univariate series,{} this is a stream of Taylor} \\indented{1}{coefficients. When \\spad{x} is a multivariate series,{} the} \\indented{1}{\\spad{n}th element of the stream is a form of} \\indented{1}{degree \\spad{n} in the power series variables.}"))) ((-4224 |has| |#1| (-512)) (-4223 |has| |#1| (-512)) ((-4231 "*") |has| |#1| (-512)) (-4222 |has| |#1| (-512)) (-4226 . T)) @@ -2142,23 +2142,23 @@ NIL ((|HasAttribute| |#1| (QUOTE -4230)) (|HasCategory| |#2| (QUOTE (-783))) (|HasAttribute| |#1| (QUOTE -4229)) (|HasCategory| |#3| (QUOTE (-1012)))) (-553 |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|) $) "\\spad{entries(u)} returns a list of all the entries of aggregate \\spad{u} in no assumed order."))) -((-2093 . T)) +((-2046 . T)) NIL (-554 R A) ((|constructor| (NIL "\\indented{1}{AssociatedJordanAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A}} \\indented{1}{to define the new multiplications \\spad{a*b := (a *\\$A b + b *\\$A a)/2}} \\indented{1}{(anticommutator).} \\indented{1}{The usual notation \\spad{{a,{}b}_+} cannot be used due to} \\indented{1}{restrictions in the current language.} \\indented{1}{This domain only gives a Jordan algebra if the} \\indented{1}{Jordan-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds} \\indented{1}{for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}.} \\indented{1}{This relation can be checked by} \\indented{1}{\\spadfun{jordanAdmissible?()\\$A}.} \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Jordan algebra. Moreover,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same \\spad{true} for the associated Jordan algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Jordan algebra \\spadtype{AssociatedJordanAlgebra}(\\spad{R},{}A)."))) -((-4226 -3700 (-4005 (|has| |#2| (-340 |#1|)) (|has| |#1| (-512))) (-12 (|has| |#2| (-390 |#1|)) (|has| |#1| (-512)))) (-4224 . T) (-4223 . T)) +((-4226 -3700 (-4006 (|has| |#2| (-340 |#1|)) (|has| |#1| (-512))) (-12 (|has| |#2| (-390 |#1|)) (|has| |#1| (-512)))) (-4224 . T) (-4223 . T)) ((|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -340) (|devaluate| |#1|))) (-3700 (|HasCategory| |#2| (LIST (QUOTE -340) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#2| (LIST (QUOTE -340) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|)))))) (-555 |Entry|) ((|constructor| (NIL "This domain allows a random access file to be viewed both as a table and as a file object.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space."))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-1012))) (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| (-1066) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (QUOTE (-1066))) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -560) (QUOTE (-791))))) +((|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-1012))) (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| (-1066) (QUOTE (-783))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (QUOTE (-1066))) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#1|)))))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -560) (QUOTE (-791))))) (-556 S |Key| |Entry|) ((|constructor| (NIL "A keyed dictionary is a dictionary of key-entry pairs for which there is a unique entry for each key.")) (|search| (((|Union| |#3| "failed") |#2| $) "\\spad{search(k,{}t)} searches the table \\spad{t} for the key \\spad{k},{} returning the entry stored in \\spad{t} for key \\spad{k}. If \\spad{t} has no such key,{} \\axiom{search(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|remove!| (((|Union| |#3| "failed") |#2| $) "\\spad{remove!(k,{}t)} searches the table \\spad{t} for the key \\spad{k} removing (and return) the entry if there. If \\spad{t} has no such key,{} \\axiom{remove!(\\spad{k},{}\\spad{t})} returns \"failed\".")) (|keys| (((|List| |#2|) $) "\\spad{keys(t)} returns the list the keys in table \\spad{t}.")) (|key?| (((|Boolean|) |#2| $) "\\spad{key?(k,{}t)} tests if \\spad{k} is a key in table \\spad{t}."))) NIL NIL (-557 |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}."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-558 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"))) @@ -2231,7 +2231,7 @@ NIL (-575) ((|constructor| (NIL "This domain provides a simple way to save values in files.")) (|setelt| (((|Any|) $ (|Symbol|) (|Any|)) "\\spad{lib.k := v} saves the value \\spad{v} in the library \\spad{lib}. It can later be extracted using the key \\spad{k}.")) (|elt| (((|Any|) $ (|Symbol|)) "\\spad{elt(lib,{}k)} or \\spad{lib}.\\spad{k} extracts the value corresponding to the key \\spad{k} from the library \\spad{lib}.")) (|pack!| (($ $) "\\spad{pack!(f)} reorganizes the file \\spad{f} on disk to recover unused space.")) (|library| (($ (|FileName|)) "\\spad{library(ln)} creates a new library file."))) ((-4230 . T)) -((|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-1066) (QUOTE (-783))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (-12 (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -283) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (QUOTE (-1066))) (LIST (QUOTE |:|) (QUOTE -3049) (QUOTE (-51))))))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-51) (QUOTE (-1012)))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-1066) (QUOTE (-783))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (-12 (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -283) (QUOTE (-51))))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (QUOTE (-1066))) (LIST (QUOTE |:|) (QUOTE -3043) (QUOTE (-51))))))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-51) (QUOTE (-1012)))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))))) (-576 S R) ((|constructor| (NIL "\\axiom{JacobiIdentity} means that \\axiom{[\\spad{x},{}[\\spad{y},{}\\spad{z}]]+[\\spad{y},{}[\\spad{z},{}\\spad{x}]]+[\\spad{z},{}[\\spad{x},{}\\spad{y}]] = 0} holds.")) (/ (($ $ |#2|) "\\axiom{\\spad{x/r}} returns the division of \\axiom{\\spad{x}} by \\axiom{\\spad{r}}.")) (|construct| (($ $ $) "\\axiom{construct(\\spad{x},{}\\spad{y})} returns the Lie bracket of \\axiom{\\spad{x}} and \\axiom{\\spad{y}}."))) NIL @@ -2242,7 +2242,7 @@ NIL NIL (-578 R A) ((|constructor| (NIL "AssociatedLieAlgebra takes an algebra \\spad{A} and uses \\spadfun{*\\$A} to define the Lie bracket \\spad{a*b := (a *\\$A b - b *\\$A a)} (commutator). Note that the notation \\spad{[a,{}b]} cannot be used due to restrictions of the current compiler. This domain only gives a Lie algebra if the Jacobi-identity \\spad{(a*b)*c + (b*c)*a + (c*a)*b = 0} holds for all \\spad{a},{}\\spad{b},{}\\spad{c} in \\spad{A}. This relation can be checked by \\spad{lieAdmissible?()\\$A}. \\blankline If the underlying algebra is of type \\spadtype{FramedNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank,{} together with a fixed \\spad{R}-module basis),{} then the same is \\spad{true} for the associated Lie algebra. Also,{} if the underlying algebra is of type \\spadtype{FiniteRankNonAssociativeAlgebra(R)} (\\spadignore{i.e.} a non associative algebra over \\spad{R} which is a free \\spad{R}-module of finite rank),{} then the same is \\spad{true} for the associated Lie algebra.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} coerces the element \\spad{a} of the algebra \\spad{A} to an element of the Lie algebra \\spadtype{AssociatedLieAlgebra}(\\spad{R},{}A)."))) -((-4226 -3700 (-4005 (|has| |#2| (-340 |#1|)) (|has| |#1| (-512))) (-12 (|has| |#2| (-390 |#1|)) (|has| |#1| (-512)))) (-4224 . T) (-4223 . T)) +((-4226 -3700 (-4006 (|has| |#2| (-340 |#1|)) (|has| |#1| (-512))) (-12 (|has| |#2| (-390 |#1|)) (|has| |#1| (-512)))) (-4224 . T) (-4223 . T)) ((|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|))) (-12 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|)))) (|HasCategory| |#2| (LIST (QUOTE -340) (|devaluate| |#1|))) (-3700 (|HasCategory| |#2| (LIST (QUOTE -340) (|devaluate| |#1|))) (|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#2| (LIST (QUOTE -340) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#2| (LIST (QUOTE -390) (|devaluate| |#1|)))))) (-579 R FE) ((|constructor| (NIL "PowerSeriesLimitPackage implements limits of expressions in one or more variables as one of the variables approaches a limiting value. Included are two-sided limits,{} left- and right- hand limits,{} and limits at plus or minus infinity.")) (|complexLimit| (((|Union| (|OnePointCompletion| |#2|) "failed") |#2| (|Equation| (|OnePointCompletion| |#2|))) "\\spad{complexLimit(f(x),{}x = a)} computes the complex limit \\spad{lim(x -> a,{}f(x))}.")) (|limit| (((|Union| (|OrderedCompletion| |#2|) "failed") |#2| (|Equation| |#2|) (|String|)) "\\spad{limit(f(x),{}x=a,{}\"left\")} computes the left hand real limit \\spad{lim(x -> a-,{}f(x))}; \\spad{limit(f(x),{}x=a,{}\"right\")} computes the right hand real limit \\spad{lim(x -> a+,{}f(x))}.") (((|Union| (|OrderedCompletion| |#2|) (|Record| (|:| |leftHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed")) (|:| |rightHandLimit| (|Union| (|OrderedCompletion| |#2|) "failed"))) "failed") |#2| (|Equation| (|OrderedCompletion| |#2|))) "\\spad{limit(f(x),{}x = a)} computes the real limit \\spad{lim(x -> a,{}f(x))}."))) @@ -2255,7 +2255,7 @@ NIL (-581 S R) ((|constructor| (NIL "Test for linear dependence.")) (|solveLinear| (((|Union| (|Vector| (|Fraction| |#1|)) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in the quotient field of \\spad{S}.") (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|) |#2|) "\\spad{solveLinear([v1,{}...,{}vn],{} u)} returns \\spad{[c1,{}...,{}cn]} such that \\spad{c1*v1 + ... + cn*vn = u},{} \"failed\" if no such \\spad{ci}\\spad{'s} exist in \\spad{S}.")) (|linearDependence| (((|Union| (|Vector| |#1|) "failed") (|Vector| |#2|)) "\\spad{linearDependence([v1,{}...,{}vn])} returns \\spad{[c1,{}...,{}cn]} if \\spad{c1*v1 + ... + cn*vn = 0} and not all the \\spad{ci}\\spad{'s} are 0,{} \"failed\" if the \\spad{vi}\\spad{'s} are linearly independent over \\spad{S}.")) (|linearlyDependent?| (((|Boolean|) (|Vector| |#2|)) "\\spad{linearlyDependent?([v1,{}...,{}vn])} returns \\spad{true} if the \\spad{vi}\\spad{'s} are linearly dependent over \\spad{S},{} \\spad{false} otherwise."))) NIL -((|HasCategory| |#1| (QUOTE (-336))) (-2415 (|HasCategory| |#1| (QUOTE (-336))))) +((|HasCategory| |#1| (QUOTE (-336))) (-2399 (|HasCategory| |#1| (QUOTE (-336))))) (-582 R) ((|constructor| (NIL "An extension ring with an explicit linear dependence test.")) (|reducedSystem| (((|Record| (|:| |mat| (|Matrix| |#1|)) (|:| |vec| (|Vector| |#1|))) (|Matrix| $) (|Vector| $)) "\\spad{reducedSystem(A,{} v)} returns a matrix \\spad{B} and a vector \\spad{w} such that \\spad{A x = v} and \\spad{B x = w} have the same solutions in \\spad{R}.") (((|Matrix| |#1|) (|Matrix| $)) "\\spad{reducedSystem(A)} returns a matrix \\spad{B} such that \\spad{A x = 0} and \\spad{B x = 0} have the same solutions in \\spad{R}."))) ((-4226 . T)) @@ -2294,7 +2294,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4230))) (-591 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})}."))) -((-2093 . T)) +((-2046 . T)) NIL (-592 R -4045 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."))) @@ -2320,7 +2320,7 @@ 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)))) -(-598 A -4064) +(-598 A -1615) ((|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}}"))) ((-4223 . T) (-4224 . T) (-4226 . T)) ((|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-424))) (|HasCategory| |#1| (QUOTE (-336)))) @@ -2354,7 +2354,7 @@ NIL NIL (-606 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}."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-607 -4045) ((|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}."))) @@ -2382,7 +2382,7 @@ NIL NIL (-613 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)]}."))) -((-2093 . T)) +((-2046 . T)) NIL (-614 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"))) @@ -2426,7 +2426,7 @@ NIL ((|HasAttribute| |#2| (QUOTE (-4231 "*"))) (|HasCategory| |#2| (QUOTE (-281))) (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (QUOTE (-512)))) (-624 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"))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-625 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."))) @@ -2450,11 +2450,11 @@ NIL NIL (-630) ((|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"))) -((-4222 . T) (-4227 |has| (-635) (-336)) (-4221 |has| (-635) (-336)) (-3902 . T) (-4228 |has| (-635) (-6 -4228)) (-4225 |has| (-635) (-6 -4225)) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) +((-4222 . T) (-4227 |has| (-635) (-336)) (-4221 |has| (-635) (-336)) (-3901 . T) (-4228 |has| (-635) (-6 -4228)) (-4225 |has| (-635) (-6 -4225)) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) ((|HasCategory| (-635) (QUOTE (-135))) (|HasCategory| (-635) (QUOTE (-133))) (|HasCategory| (-635) (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| (-635) (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| (-635) (QUOTE (-341))) (|HasCategory| (-635) (QUOTE (-336))) (|HasCategory| (-635) (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| (-635) (QUOTE (-209))) (|HasCategory| (-635) (QUOTE (-322))) (-3700 (|HasCategory| (-635) (QUOTE (-336))) (|HasCategory| (-635) (QUOTE (-322)))) (|HasCategory| (-635) (LIST (QUOTE -260) (QUOTE (-635)) (QUOTE (-635)))) (|HasCategory| (-635) (LIST (QUOTE -283) (QUOTE (-635)))) (|HasCategory| (-635) (LIST (QUOTE -481) (QUOTE (-1083)) (QUOTE (-635)))) (|HasCategory| (-635) (LIST (QUOTE -814) (QUOTE (-352)))) (|HasCategory| (-635) (LIST (QUOTE -814) (QUOTE (-520)))) (|HasCategory| (-635) (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-520))))) (|HasCategory| (-635) (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-352))))) (|HasCategory| (-635) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-635) (QUOTE (-945))) (|HasCategory| (-635) (QUOTE (-1104))) (-12 (|HasCategory| (-635) (QUOTE (-926))) (|HasCategory| (-635) (QUOTE (-1104)))) (|HasCategory| (-635) (QUOTE (-505))) (|HasCategory| (-635) (QUOTE (-978))) (-12 (|HasCategory| (-635) (QUOTE (-978))) (|HasCategory| (-635) (QUOTE (-1104)))) (-3700 (|HasCategory| (-635) (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| (-635) (QUOTE (-336)))) (|HasCategory| (-635) (QUOTE (-281))) (-3700 (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-336))) (|HasCategory| (-635) (QUOTE (-322)))) (|HasCategory| (-635) (QUOTE (-837))) (-12 (|HasCategory| (-635) (QUOTE (-209))) (|HasCategory| (-635) (QUOTE (-336)))) (-12 (|HasCategory| (-635) (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasCategory| (-635) (QUOTE (-336)))) (|HasCategory| (-635) (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| (-635) (QUOTE (-783))) (|HasCategory| (-635) (QUOTE (-512))) (|HasAttribute| (-635) (QUOTE -4228)) (|HasAttribute| (-635) (QUOTE -4225)) (-12 (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (-3700 (-12 (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (|HasCategory| (-635) (QUOTE (-336))) (-12 (|HasCategory| (-635) (QUOTE (-322))) (|HasCategory| (-635) (QUOTE (-837))))) (-3700 (-12 (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (-12 (|HasCategory| (-635) (QUOTE (-336))) (|HasCategory| (-635) (QUOTE (-837)))) (-12 (|HasCategory| (-635) (QUOTE (-322))) (|HasCategory| (-635) (QUOTE (-837))))) (-3700 (-12 (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (|HasCategory| (-635) (QUOTE (-336)))) (-3700 (-12 (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (|HasCategory| (-635) (QUOTE (-512)))) (-3700 (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (|HasCategory| (-635) (QUOTE (-133)))) (-3700 (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| (-635) (QUOTE (-281))) (|HasCategory| (-635) (QUOTE (-837)))) (|HasCategory| (-635) (QUOTE (-322))))) (-631 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}."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-632 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}."))) @@ -2500,7 +2500,7 @@ NIL ((|constructor| (NIL "MakeRecord is used internally by the interpreter to create record types which are used for doing parallel iterations on streams.")) (|makeRecord| (((|Record| (|:| |part1| |#1|) (|:| |part2| |#2|)) |#1| |#2|) "\\spad{makeRecord(a,{}b)} creates a record object with type Record(part1:S,{} part2:R),{} where part1 is \\spad{a} and part2 is \\spad{b}."))) NIL NIL -(-643 S -2243 I) +(-643 S -2211 I) ((|constructor| (NIL "transforms top-level objects into compiled functions.")) (|compiledFunction| (((|Mapping| |#3| |#2|) |#1| (|Symbol|)) "\\spad{compiledFunction(expr,{} x)} returns a function \\spad{f: D -> I} defined by \\spad{f(x) == expr}. Function \\spad{f} is compiled and directly applicable to objects of type \\spad{D}.")) (|unaryFunction| (((|Mapping| |#3| |#2|) (|Symbol|)) "\\spad{unaryFunction(a)} is a local function"))) NIL NIL @@ -2516,7 +2516,7 @@ NIL ((|constructor| (NIL "Lifting of a map through 2 levels of polynomials.")) (|map| ((|#6| (|Mapping| |#4| |#1|) |#3|) "\\spad{map(f,{} p)} lifts \\spad{f} to the domain of \\spad{p} then applies it to \\spad{p}."))) NIL NIL -(-647 R |Mod| -2091 -3478 |exactQuo|) +(-647 R |Mod| -2742 -1819 |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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4221 . T) (-4227 . T) (-4222 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) NIL @@ -2532,7 +2532,7 @@ NIL ((|constructor| (NIL "Algebra of ADDITIVE operators on a module.")) (|makeop| (($ |#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| (($ $ $) "\\spad{adjoint(op1,{} op2)} sets the adjoint of \\spad{op1} to be op2. \\spad{op1} must be a basic operator") (($ $) "\\spad{adjoint(op)} returns the adjoint of the operator \\spad{op}."))) ((-4224 |has| |#1| (-157)) (-4223 |has| |#1| (-157)) (-4226 . T)) ((|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135)))) -(-651 R |Mod| -2091 -3478 |exactQuo|) +(-651 R |Mod| -2742 -1819 |exactQuo|) ((|constructor| (NIL "These domains are used for the factorization and gcds of univariate polynomials over the integers in order to work modulo different primes. See \\spadtype{EuclideanModularRing} ,{}\\spadtype{ModularField}")) (|inv| (($ $) "\\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| $) "\\spad{modulus(x)} \\undocumented"))) ((-4226 . T)) NIL @@ -2618,7 +2618,7 @@ NIL ((-12 (|HasCategory| |#1| (QUOTE (-341))) (|HasCategory| |#2| (QUOTE (-341)))) (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#2| (QUOTE (-783)))) (-672 S) ((|constructor| (NIL "A multi-set aggregate is a set which keeps track of the multiplicity of its elements."))) -((-4219 . T) (-4230 . T) (-2093 . T)) +((-4219 . T) (-4230 . T) (-2046 . T)) NIL (-673 S) ((|constructor| (NIL "A multiset is a set with multiplicities.")) (|remove!| (($ (|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}."))) @@ -2791,7 +2791,7 @@ NIL (-715 R |VarSet|) ((|constructor| (NIL "A post-facto extension for \\axiomType{\\spad{SMP}} in order to speed up operations related to pseudo-division and \\spad{gcd}. This domain is based on the \\axiomType{NSUP} constructor which is itself a post-facto extension of the \\axiomType{SUP} constructor."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-6 -4227)) (-4224 . T) (-4223 . T) (-4226 . T)) -((|HasCategory| |#1| (QUOTE (-837))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-352)))) (|HasCategory| |#2| (LIST (QUOTE -814) (QUOTE (-352))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -814) (QUOTE (-520)))) (|HasCategory| |#2| (LIST (QUOTE -814) (QUOTE (-520))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-352))))) (|HasCategory| |#2| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-352)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-520))))) (|HasCategory| |#2| (LIST (QUOTE -561) (LIST (QUOTE -820) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#2| (LIST (QUOTE -561) (QUOTE (-496))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#1| (LIST (QUOTE -582) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-135))) 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|#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasAttribute| |#1| (QUOTE -4227)) (|HasCategory| |#1| (QUOTE (-424))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-424))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-837)))) (-3700 (|HasCategory| |#1| (QUOTE (-424))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-837)))) (-3700 (|HasCategory| |#1| (QUOTE (-424))) (|HasCategory| |#1| (QUOTE (-837)))) (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-837)))) (-3700 (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-837)))) (|HasCategory| |#1| (QUOTE (-133))))) (-716 R S) ((|constructor| (NIL "This package lifts a mapping from coefficient rings \\spad{R} to \\spad{S} to a mapping from sparse univariate polynomial over \\spad{R} to a sparse univariate polynomial over \\spad{S}. Note that the mapping is assumed to send zero to zero,{} since it will only be applied to the non-zero coefficients of the polynomial.")) (|map| (((|NewSparseUnivariatePolynomial| |#2|) (|Mapping| |#2| |#1|) (|NewSparseUnivariatePolynomial| |#1|)) "\\axiom{map(func,{} poly)} creates a new polynomial by applying func to every non-zero coefficient of the polynomial poly."))) NIL @@ -2806,7 +2806,7 @@ NIL ((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-719 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.}"))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-720 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}."))) @@ -2932,7 +2932,7 @@ 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.")) 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(-12 (|HasCategory| |#2| (QUOTE (-124))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-341))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-728))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-781))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520)))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-3700 (-12 (|HasCategory| |#2| (QUOTE (-25))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-124))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-157))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-336))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-341))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-728))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-781))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (-12 (|HasCategory| |#2| (LIST (QUOTE -960) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-209))) (|HasCategory| |#2| (QUOTE (-969)))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -582) (QUOTE (-520))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083))))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520))))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) @@ -2994,7 +2994,7 @@ NIL NIL (-766 S) ((|constructor| (NIL "to become an in order iterator")) (|min| ((|#1| $) "\\spad{min(u)} returns the smallest entry in the multiset aggregate \\spad{u}."))) -((-4229 . T) (-4219 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4219 . T) (-4230 . T) (-2046 . T)) NIL (-767) ((|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."))) @@ -3040,7 +3040,7 @@ NIL ((|constructor| (NIL "Ordered finite sets."))) NIL NIL -(-778 -2621 S) +(-778 -2615 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 @@ -3191,7 +3191,7 @@ NIL (-815 |Base| |Subject| |Pat|) ((|constructor| (NIL "This package provides the top-level pattern macthing functions.")) (|Is| (((|PatternMatchResult| |#1| |#2|) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a match of the form \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty match if \\spad{expr} is exactly equal to pat. returns a \\spadfun{failed} match if pat does not match \\spad{expr}.") (((|List| (|Equation| (|Polynomial| |#2|))) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|List| (|Equation| |#2|)) |#2| |#3|) "\\spad{Is(expr,{} pat)} matches the pattern pat on the expression \\spad{expr} and returns a list of matches \\spad{[v1 = e1,{}...,{}vn = en]}; returns an empty list if either \\spad{expr} is exactly equal to pat or if pat does not match \\spad{expr}.") (((|PatternMatchListResult| |#1| |#2| (|List| |#2|)) (|List| |#2|) |#3|) "\\spad{Is([e1,{}...,{}en],{} pat)} matches the pattern pat on the list of expressions \\spad{[e1,{}...,{}en]} and returns the result.")) (|is?| (((|Boolean|) (|List| |#2|) |#3|) "\\spad{is?([e1,{}...,{}en],{} pat)} tests if the list of expressions \\spad{[e1,{}...,{}en]} matches the pattern pat.") (((|Boolean|) |#2| |#3|) "\\spad{is?(expr,{} pat)} tests if the expression \\spad{expr} matches the pattern pat."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083)))) (-12 (-2415 (|HasCategory| |#2| (QUOTE (-969)))) (-2415 (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083)))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (-2415 (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083))))))) +((|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083)))) (-12 (-2399 (|HasCategory| |#2| (QUOTE (-969)))) (-2399 (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083)))))) (-12 (|HasCategory| |#2| (QUOTE (-969))) (-2399 (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083))))))) (-816 R A B) ((|constructor| (NIL "Lifts maps to pattern matching results.")) (|map| (((|PatternMatchResult| |#1| |#3|) (|Mapping| |#3| |#2|) (|PatternMatchResult| |#1| |#2|)) "\\spad{map(f,{} [(v1,{}a1),{}...,{}(vn,{}an)])} returns the matching result [(\\spad{v1},{}\\spad{f}(a1)),{}...,{}(\\spad{vn},{}\\spad{f}(an))]."))) NIL @@ -3200,7 +3200,7 @@ NIL ((|constructor| (NIL "A PatternMatchResult is an object internally returned by the pattern matcher; It is either a failed match,{} or a list of matches of the form (var,{} expr) meaning that the variable var matches the expression expr.")) (|satisfy?| (((|Union| (|Boolean|) "failed") $ (|Pattern| |#1|)) "\\spad{satisfy?(r,{} p)} returns \\spad{true} if the matches satisfy the top-level predicate of \\spad{p},{} \\spad{false} if they don\\spad{'t},{} and \"failed\" if not enough variables of \\spad{p} are matched in \\spad{r} to decide.")) (|construct| (($ (|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|)))) "\\spad{construct([v1,{}e1],{}...,{}[vn,{}en])} returns the match result containing the matches (\\spad{v1},{}e1),{}...,{}(\\spad{vn},{}en).")) (|destruct| (((|List| (|Record| (|:| |key| (|Symbol|)) (|:| |entry| |#2|))) $) "\\spad{destruct(r)} returns the list of matches (var,{} expr) in \\spad{r}. Error: if \\spad{r} is a failed match.")) (|addMatchRestricted| (($ (|Pattern| |#1|) |#2| $ |#2|) "\\spad{addMatchRestricted(var,{} expr,{} r,{} val)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} that \\spad{var} is not matched to another expression already,{} and that either \\spad{var} is an optional pattern variable or that \\spad{expr} is not equal to val (usually an identity).")) (|insertMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{insertMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} without checking predicates or previous matches for \\spad{var}.")) (|addMatch| (($ (|Pattern| |#1|) |#2| $) "\\spad{addMatch(var,{} expr,{} r)} adds the match (\\spad{var},{} \\spad{expr}) in \\spad{r},{} provided that \\spad{expr} satisfies the predicates attached to \\spad{var},{} and that \\spad{var} is not matched to another expression already.")) (|getMatch| (((|Union| |#2| "failed") (|Pattern| |#1|) $) "\\spad{getMatch(var,{} r)} returns the expression that \\spad{var} matches in the result \\spad{r},{} and \"failed\" if \\spad{var} is not matched in \\spad{r}.")) (|union| (($ $ $) "\\spad{union(a,{} b)} makes the set-union of two match results.")) (|new| (($) "\\spad{new()} returns a new empty match result.")) (|failed| (($) "\\spad{failed()} returns a failed match.")) (|failed?| (((|Boolean|) $) "\\spad{failed?(r)} tests if \\spad{r} is a failed match."))) NIL NIL -(-818 R -2243) +(-818 R -2211) ((|constructor| (NIL "Tools for patterns.")) (|badValues| (((|List| |#2|) (|Pattern| |#1|)) "\\spad{badValues(p)} returns the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|addBadValue| (((|Pattern| |#1|) (|Pattern| |#1|) |#2|) "\\spad{addBadValue(p,{} v)} adds \\spad{v} to the list of \"bad values\" for \\spad{p}; \\spad{p} is not allowed to match any of its \"bad values\".")) (|satisfy?| (((|Boolean|) (|List| |#2|) (|Pattern| |#1|)) "\\spad{satisfy?([v1,{}...,{}vn],{} p)} returns \\spad{f(v1,{}...,{}vn)} where \\spad{f} is the top-level predicate attached to \\spad{p}.") (((|Boolean|) |#2| (|Pattern| |#1|)) "\\spad{satisfy?(v,{} p)} returns \\spad{f}(\\spad{v}) where \\spad{f} is the predicate attached to \\spad{p}.")) (|predicate| (((|Mapping| (|Boolean|) |#2|) (|Pattern| |#1|)) "\\spad{predicate(p)} returns the predicate attached to \\spad{p},{} the constant function \\spad{true} if \\spad{p} has no predicates attached to it.")) (|suchThat| (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Symbol|)) (|Mapping| (|Boolean|) (|List| |#2|))) "\\spad{suchThat(p,{} [a1,{}...,{}an],{} f)} returns a copy of \\spad{p} with the top-level predicate set to \\spad{f(a1,{}...,{}an)}.") (((|Pattern| |#1|) (|Pattern| |#1|) (|List| (|Mapping| (|Boolean|) |#2|))) "\\spad{suchThat(p,{} [f1,{}...,{}fn])} makes a copy of \\spad{p} and adds the predicate \\spad{f1} and ... and \\spad{fn} to the copy,{} which is returned.") (((|Pattern| |#1|) (|Pattern| |#1|) (|Mapping| (|Boolean|) |#2|)) "\\spad{suchThat(p,{} f)} makes a copy of \\spad{p} and adds the predicate \\spad{f} to the copy,{} which is returned."))) NIL NIL @@ -3388,11 +3388,11 @@ NIL ((|constructor| (NIL "This package provides pattern matching functions on polynomials.")) (|patternMatch| (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|)) "\\spad{patternMatch(p,{} pat,{} res)} matches the pattern \\spad{pat} to the polynomial \\spad{p}; res contains the variables of \\spad{pat} which are already matched and their matches.") (((|PatternMatchResult| |#1| |#5|) |#5| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|) (|Mapping| (|PatternMatchResult| |#1| |#5|) |#3| (|Pattern| |#1|) (|PatternMatchResult| |#1| |#5|))) "\\spad{patternMatch(p,{} pat,{} res,{} vmatch)} matches the pattern \\spad{pat} to the polynomial \\spad{p}. \\spad{res} contains the variables of \\spad{pat} which are already matched and their matches; vmatch is the matching function to use on the variables."))) NIL ((|HasCategory| |#3| (LIST (QUOTE -814) (|devaluate| |#1|)))) -(-865 R -4045 -2243) +(-865 R -4045 -2211) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| ((|#2| |#2| (|List| (|Mapping| (|Boolean|) |#3|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}. Error: if \\spad{x} is not a symbol.") ((|#2| |#2| (|Mapping| (|Boolean|) |#3|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}; error if \\spad{x} is not a symbol."))) NIL NIL -(-866 -2243) +(-866 -2211) ((|constructor| (NIL "Attaching predicates to symbols for pattern matching. Date Created: 21 Mar 1989 Date Last Updated: 23 May 1990")) (|suchThat| (((|Expression| (|Integer|)) (|Symbol|) (|List| (|Mapping| (|Boolean|) |#1|))) "\\spad{suchThat(x,{} [f1,{} f2,{} ...,{} fn])} attaches the predicate \\spad{f1} and \\spad{f2} and ... and \\spad{fn} to \\spad{x}.") (((|Expression| (|Integer|)) (|Symbol|) (|Mapping| (|Boolean|) |#1|)) "\\spad{suchThat(x,{} foo)} attaches the predicate foo to \\spad{x}."))) NIL NIL @@ -3506,7 +3506,7 @@ NIL NIL (-894 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}."))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-895 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}}"))) @@ -3534,7 +3534,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-512)))) (-901 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."))) -((-4229 . T) (-2093 . T)) +((-4229 . T) (-2046 . T)) NIL (-902 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."))) @@ -3550,7 +3550,7 @@ NIL NIL (-905 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}."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-906 R1 R2) ((|constructor| (NIL "This package \\undocumented")) (|map| (((|Point| |#2|) (|Mapping| |#2| |#1|) (|Point| |#1|)) "\\spad{map(f,{}p)} \\undocumented"))) @@ -3598,7 +3598,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-837))) (|HasCategory| |#2| (QUOTE (-505))) (|HasCategory| |#2| (QUOTE (-281))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-1083)))) (|HasCategory| |#2| (QUOTE (-133))) (|HasCategory| |#2| (QUOTE (-135))) (|HasCategory| |#2| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#2| (QUOTE (-945))) (|HasCategory| |#2| (QUOTE (-756))) (|HasCategory| |#2| (QUOTE (-783))) (|HasCategory| |#2| (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| |#2| (QUOTE (-1059)))) (-917 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}."))) -((-2093 . T) (-4221 . T) (-4227 . T) (-4222 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) +((-2046 . T) (-4221 . T) (-4227 . T) (-4222 . T) ((-4231 "*") . T) (-4223 . T) (-4224 . T) (-4226 . T)) NIL (-918 |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}."))) @@ -3606,7 +3606,7 @@ NIL NIL (-919 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."))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-920 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}."))) @@ -3666,7 +3666,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4230)) (|HasCategory| |#2| (QUOTE (-1012)))) (-934 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}."))) -((-2093 . T)) +((-2046 . T)) NIL (-935 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)}") (($ $) "\\axiom{sqrt(\\spad{x})} is \\axiom{\\spad{x} \\spad{**} (1/2)}") (($ $ (|NonNegativeInteger|)) "\\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}}"))) @@ -3763,7 +3763,7 @@ NIL (-958) ((|constructor| (NIL "A domain used to return the results from a call to the NAG Library. It prints as a list of names and types,{} though the user may choose to display values automatically if he or she wishes.")) (|showArrayValues| (((|Boolean|) (|Boolean|)) "\\spad{showArrayValues(true)} forces the values of array components to be \\indented{1}{displayed rather than just their types.}")) (|showScalarValues| (((|Boolean|) (|Boolean|)) "\\spad{showScalarValues(true)} forces the values of scalar components to be \\indented{1}{displayed rather than just their types.}"))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (QUOTE (-1083))) (LIST (QUOTE |:|) (QUOTE -3049) (QUOTE (-51))))))) (|HasCategory| (-1083) (QUOTE (-783))) (|HasCategory| (-51) (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-51) (QUOTE (-1012)))) (-12 (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -283) (QUOTE (-51))))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (QUOTE (-1083))) (LIST (QUOTE |:|) (QUOTE -3043) (QUOTE (-51))))))) (|HasCategory| (-1083) (QUOTE (-783))) (|HasCategory| (-51) (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-51) (QUOTE (-1012)))) (-12 (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -283) (QUOTE (-51))))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))))) (-959 A S) ((|constructor| (NIL "A is retractable to \\spad{B} means that some elementsif A can be converted into elements of \\spad{B} and any element of \\spad{B} can be converted into an element of A.")) (|retract| ((|#2| $) "\\spad{retract(a)} transforms a into an element of \\spad{S} if possible. Error: if a cannot be made into an element of \\spad{S}.")) (|retractIfCan| (((|Union| |#2| "failed") $) "\\spad{retractIfCan(a)} transforms a into an element of \\spad{S} if possible. Returns \"failed\" if a cannot be made into an element of \\spad{S}.")) (|coerce| (($ |#2|) "\\spad{coerce(a)} transforms a into an element of \\%."))) NIL @@ -3818,7 +3818,7 @@ NIL ((|HasCategory| |#4| (QUOTE (-281))) (|HasCategory| |#4| (QUOTE (-336))) (|HasCategory| |#4| (QUOTE (-512))) (|HasCategory| |#4| (QUOTE (-157)))) (-972 |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"))) -((-4229 . T) (-2093 . T) (-4224 . T) (-4223 . T)) +((-4229 . T) (-2046 . T) (-4224 . T) (-4223 . T)) NIL (-973 |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}."))) @@ -3855,7 +3855,7 @@ NIL (-981) ((|constructor| (NIL "\\axiomType{RoutinesTable} implements a database and associated tuning mechanisms for a set of known NAG routines")) (|recoverAfterFail| (((|Union| (|String|) "failed") $ (|String|) (|Integer|)) "\\spad{recoverAfterFail(routs,{}routineName,{}ifailValue)} acts on the instructions given by the ifail list")) (|showTheRoutinesTable| (($) "\\spad{showTheRoutinesTable()} returns the current table of NAG routines.")) (|deleteRoutine!| (($ $ (|Symbol|)) "\\spad{deleteRoutine!(R,{}s)} destructively deletes the given routine from the current database of NAG routines")) (|getExplanations| (((|List| (|String|)) $ (|String|)) "\\spad{getExplanations(R,{}s)} gets the explanations of the output parameters for the given NAG routine.")) (|getMeasure| (((|Float|) $ (|Symbol|)) "\\spad{getMeasure(R,{}s)} gets the current value of the maximum measure for the given NAG routine.")) (|changeMeasure| (($ $ (|Symbol|) (|Float|)) "\\spad{changeMeasure(R,{}s,{}newValue)} changes the maximum value for a measure of the given NAG routine.")) (|changeThreshhold| (($ $ (|Symbol|) (|Float|)) "\\spad{changeThreshhold(R,{}s,{}newValue)} changes the value below which,{} given a NAG routine generating a higher measure,{} the routines will make no attempt to generate a measure.")) (|selectMultiDimensionalRoutines| (($ $) "\\spad{selectMultiDimensionalRoutines(R)} chooses only those routines from the database which are designed for use with multi-dimensional expressions")) (|selectNonFiniteRoutines| (($ $) "\\spad{selectNonFiniteRoutines(R)} chooses only those routines from the database which are designed for use with non-finite expressions.")) (|selectSumOfSquaresRoutines| (($ $) "\\spad{selectSumOfSquaresRoutines(R)} chooses only those routines from the database which are designed for use with sums of squares")) (|selectFiniteRoutines| (($ $) "\\spad{selectFiniteRoutines(R)} chooses only those routines from the database which are designed for use with finite expressions")) (|selectODEIVPRoutines| (($ $) "\\spad{selectODEIVPRoutines(R)} chooses only those routines from the database which are for the solution of ODE\\spad{'s}")) (|selectPDERoutines| (($ $) "\\spad{selectPDERoutines(R)} chooses only those routines from the database which are for the solution of PDE\\spad{'s}")) (|selectOptimizationRoutines| (($ $) "\\spad{selectOptimizationRoutines(R)} chooses only those routines from the database which are for integration")) (|selectIntegrationRoutines| (($ $) "\\spad{selectIntegrationRoutines(R)} chooses only those routines from the database which are for integration")) (|routines| (($) "\\spad{routines()} initialises a database of known NAG routines")) (|concat| (($ $ $) "\\spad{concat(x,{}y)} merges two tables \\spad{x} and \\spad{y}"))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (QUOTE (-1083))) (LIST (QUOTE |:|) (QUOTE -3049) (QUOTE (-51))))))) (|HasCategory| (-1083) (QUOTE (-783))) (|HasCategory| (-51) (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-51) (QUOTE (-1012)))) (-12 (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -283) (QUOTE (-51))))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (QUOTE (-1083))) (LIST (QUOTE |:|) (QUOTE -3043) (QUOTE (-51))))))) (|HasCategory| (-1083) (QUOTE (-783))) (|HasCategory| (-51) (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-51) (QUOTE (-1012)))) (-12 (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -283) (QUOTE (-51))))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (QUOTE (-1012))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-51) (LIST (QUOTE -560) (QUOTE (-791)))))) (-982 S R E V) ((|constructor| (NIL "A category for general multi-variate polynomials with coefficients in a ring,{} variables in an ordered set,{} and exponents from an ordered abelian monoid,{} with a \\axiomOp{sup} operation. When not constant,{} such a polynomial is viewed as a univariate polynomial in its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in the ordered set,{} so that some operations usually defined for univariate polynomials make sense here.")) (|mainSquareFreePart| (($ $) "\\axiom{mainSquareFreePart(\\spad{p})} returns the square free part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainPrimitivePart| (($ $) "\\axiom{mainPrimitivePart(\\spad{p})} returns the primitive part of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|mainContent| (($ $) "\\axiom{mainContent(\\spad{p})} returns the content of \\axiom{\\spad{p}} viewed as a univariate polynomial in its main variable and with coefficients in the polynomial ring generated by its other variables over \\axiom{\\spad{R}}.")) (|primitivePart!| (($ $) "\\axiom{primitivePart!(\\spad{p})} replaces \\axiom{\\spad{p}} by its primitive part.")) (|gcd| ((|#2| |#2| $) "\\axiom{\\spad{gcd}(\\spad{r},{}\\spad{p})} returns the \\spad{gcd} of \\axiom{\\spad{r}} and the content of \\axiom{\\spad{p}}.")) (|nextsubResultant2| (($ $ $ $ $) "\\axiom{nextsubResultant2(\\spad{p},{}\\spad{q},{}\\spad{z},{}\\spad{s})} is the multivariate version of the operation \\axiomOpFrom{next_sousResultant2}{PseudoRemainderSequence} from the \\axiomType{PseudoRemainderSequence} constructor.")) (|LazardQuotient2| (($ $ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient2(\\spad{p},{}a,{}\\spad{b},{}\\spad{n})} returns \\axiom{(a**(\\spad{n}-1) * \\spad{p}) exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|LazardQuotient| (($ $ $ (|NonNegativeInteger|)) "\\axiom{LazardQuotient(a,{}\\spad{b},{}\\spad{n})} returns \\axiom{a**n exquo \\spad{b**}(\\spad{n}-1)} assuming that this quotient does not fail.")) (|lastSubResultant| (($ $ $) "\\axiom{lastSubResultant(a,{}\\spad{b})} returns the last non-zero subresultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|subResultantChain| (((|List| $) $ $) "\\axiom{subResultantChain(a,{}\\spad{b})},{} where \\axiom{a} and \\axiom{\\spad{b}} are not contant polynomials with the same main variable,{} returns the subresultant chain of \\axiom{a} and \\axiom{\\spad{b}}.")) (|resultant| (($ $ $) "\\axiom{resultant(a,{}\\spad{b})} computes the resultant of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}}.")) (|halfExtendedSubResultantGcd2| (((|Record| (|:| |gcd| $) (|:| |coef2| $)) $ $) "\\axiom{halfExtendedSubResultantGcd2(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}\\spad{cb}]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|halfExtendedSubResultantGcd1| (((|Record| (|:| |gcd| $) (|:| |coef1| $)) $ $) "\\axiom{halfExtendedSubResultantGcd1(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca]} if \\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[\\spad{g},{}ca,{}\\spad{cb}]} otherwise produces an error.")) (|extendedSubResultantGcd| (((|Record| (|:| |gcd| $) (|:| |coef1| $) (|:| |coef2| $)) $ $) "\\axiom{extendedSubResultantGcd(a,{}\\spad{b})} returns \\axiom{[ca,{}\\spad{cb},{}\\spad{r}]} such that \\axiom{\\spad{r}} is \\axiom{subResultantGcd(a,{}\\spad{b})} and we have \\axiom{ca * a + \\spad{cb} * \\spad{cb} = \\spad{r}} .")) (|subResultantGcd| (($ $ $) "\\axiom{subResultantGcd(a,{}\\spad{b})} computes a \\spad{gcd} of \\axiom{a} and \\axiom{\\spad{b}} where \\axiom{a} and \\axiom{\\spad{b}} are assumed to have the same main variable \\axiom{\\spad{v}} and are viewed as univariate polynomials in \\axiom{\\spad{v}} with coefficients in the fraction field of the polynomial ring generated by their other variables over \\axiom{\\spad{R}}.")) (|exactQuotient!| (($ $ $) "\\axiom{exactQuotient!(a,{}\\spad{b})} replaces \\axiom{a} by \\axiom{exactQuotient(a,{}\\spad{b})}") (($ $ |#2|) "\\axiom{exactQuotient!(\\spad{p},{}\\spad{r})} replaces \\axiom{\\spad{p}} by \\axiom{exactQuotient(\\spad{p},{}\\spad{r})}.")) (|exactQuotient| (($ $ $) "\\axiom{exactQuotient(a,{}\\spad{b})} computes the exact quotient of \\axiom{a} by \\axiom{\\spad{b}},{} which is assumed to be a divisor of \\axiom{a}. No error is returned if this exact quotient fails!") (($ $ |#2|) "\\axiom{exactQuotient(\\spad{p},{}\\spad{r})} computes the exact quotient of \\axiom{\\spad{p}} by \\axiom{\\spad{r}},{} which is assumed to be a divisor of \\axiom{\\spad{p}}. No error is returned if this exact quotient fails!")) (|primPartElseUnitCanonical!| (($ $) "\\axiom{primPartElseUnitCanonical!(\\spad{p})} replaces \\axiom{\\spad{p}} by \\axiom{primPartElseUnitCanonical(\\spad{p})}.")) (|primPartElseUnitCanonical| (($ $) "\\axiom{primPartElseUnitCanonical(\\spad{p})} returns \\axiom{primitivePart(\\spad{p})} if \\axiom{\\spad{R}} is a \\spad{gcd}-domain,{} otherwise \\axiom{unitCanonical(\\spad{p})}.")) (|convert| (($ (|Polynomial| |#2|)) "\\axiom{convert(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}},{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.") (($ (|Polynomial| (|Integer|))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{convert(\\spad{p})} returns the same as \\axiom{retract(\\spad{p})}.")) (|retract| (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| |#2|)) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Integer|))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.") (($ (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retract(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if \\axiom{retractIfCan(\\spad{p})} does not return \"failed\",{} otherwise an error is produced.")) (|retractIfCan| (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| |#2|)) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Integer|))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.") (((|Union| $ "failed") (|Polynomial| (|Fraction| (|Integer|)))) "\\axiom{retractIfCan(\\spad{p})} returns \\axiom{\\spad{p}} as an element of the current domain if all its variables belong to \\axiom{\\spad{V}}.")) (|initiallyReduce| (($ $ $) "\\axiom{initiallyReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{initiallyReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|headReduce| (($ $ $) "\\axiom{headReduce(a,{}\\spad{b})} returns a polynomial \\axiom{\\spad{r}} such that \\axiom{headReduced?(\\spad{r},{}\\spad{b})} holds and there exists an integer \\axiom{\\spad{e}} such that \\axiom{init(\\spad{b})^e a - \\spad{r}} is zero modulo \\axiom{\\spad{b}}.")) (|lazyResidueClass| (((|Record| (|:| |polnum| $) (|:| |polden| $) (|:| |power| (|NonNegativeInteger|))) $ $) "\\axiom{lazyResidueClass(a,{}\\spad{b})} returns \\axiom{[\\spad{p},{}\\spad{q},{}\\spad{n}]} where \\axiom{\\spad{p} / q**n} represents the residue class of \\axiom{a} modulo \\axiom{\\spad{b}} and \\axiom{\\spad{p}} is reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and \\axiom{\\spad{q}} is \\axiom{init(\\spad{b})}.")) (|monicModulo| (($ $ $) "\\axiom{monicModulo(a,{}\\spad{b})} computes \\axiom{a mod \\spad{b}},{} if \\axiom{\\spad{b}} is monic as univariate polynomial in its main variable.")) (|pseudoDivide| (((|Record| (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{pseudoDivide(a,{}\\spad{b})} computes \\axiom{[pquo(a,{}\\spad{b}),{}prem(a,{}\\spad{b})]},{} both polynomials viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}},{} if \\axiom{\\spad{b}} is not a constant polynomial.")) (|lazyPseudoDivide| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})},{} \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |quotient| $) (|:| |remainder| $)) $ $) "\\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]} such that \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}] = lazyPremWithDefault(a,{}\\spad{b})} and \\axiom{\\spad{q}} is the pseudo-quotient computed in this lazy pseudo-division.")) (|lazyPremWithDefault| (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $ |#4|) "\\axiom{lazyPremWithDefault(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b},{}\\spad{v})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b},{}\\spad{v})}.") (((|Record| (|:| |coef| $) (|:| |gap| (|NonNegativeInteger|)) (|:| |remainder| $)) $ $) "\\axiom{lazyPremWithDefault(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{r}]} such that \\axiom{\\spad{r} = lazyPrem(a,{}\\spad{b})} and \\axiom{(c**g)\\spad{*r} = prem(a,{}\\spad{b})}.")) (|lazyPquo| (($ $ $ |#4|) "\\axiom{lazyPquo(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b},{}\\spad{v})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.") (($ $ $) "\\axiom{lazyPquo(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{q}} such that \\axiom{lazyPseudoDivide(a,{}\\spad{b})} returns \\axiom{[\\spad{c},{}\\spad{g},{}\\spad{q},{}\\spad{r}]}.")) (|lazyPrem| (($ $ $ |#4|) "\\axiom{lazyPrem(a,{}\\spad{b},{}\\spad{v})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} viewed as univariate polynomials in the variable \\axiom{\\spad{v}} such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.") (($ $ $) "\\axiom{lazyPrem(a,{}\\spad{b})} returns the polynomial \\axiom{\\spad{r}} reduced \\spad{w}.\\spad{r}.\\spad{t}. \\axiom{\\spad{b}} and such that \\axiom{\\spad{b}} divides \\axiom{init(\\spad{b})^e a - \\spad{r}} where \\axiom{\\spad{e}} is the number of steps of this pseudo-division.")) (|pquo| (($ $ $ |#4|) "\\axiom{pquo(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{pquo(a,{}\\spad{b})} computes the pseudo-quotient of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|prem| (($ $ $ |#4|) "\\axiom{prem(a,{}\\spad{b},{}\\spad{v})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in \\axiom{\\spad{v}}.") (($ $ $) "\\axiom{prem(a,{}\\spad{b})} computes the pseudo-remainder of \\axiom{a} by \\axiom{\\spad{b}},{} both viewed as univariate polynomials in the main variable of \\axiom{\\spad{b}}.")) (|normalized?| (((|Boolean|) $ (|List| $)) "\\axiom{normalized?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{normalized?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{normalized?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{a} and its iterated initials have degree zero \\spad{w}.\\spad{r}.\\spad{t}. the main variable of \\axiom{\\spad{b}}")) (|initiallyReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{initiallyReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{initiallyReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{initiallyReduced?(a,{}\\spad{b})} returns \\spad{false} iff there exists an iterated initial of \\axiom{a} which is not reduced \\spad{w}.\\spad{r}.\\spad{t} \\axiom{\\spad{b}}.")) (|headReduced?| (((|Boolean|) $ (|List| $)) "\\axiom{headReduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{headReduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{headReduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(head(a),{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|reduced?| (((|Boolean|) $ (|List| $)) "\\axiom{reduced?(\\spad{q},{}\\spad{lp})} returns \\spad{true} iff \\axiom{reduced?(\\spad{q},{}\\spad{p})} holds for every \\axiom{\\spad{p}} in \\axiom{\\spad{lp}}.") (((|Boolean|) $ $) "\\axiom{reduced?(a,{}\\spad{b})} returns \\spad{true} iff \\axiom{degree(a,{}mvar(\\spad{b})) < mdeg(\\spad{b})}.")) (|supRittWu?| (((|Boolean|) $ $) "\\axiom{supRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is greater than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|infRittWu?| (((|Boolean|) $ $) "\\axiom{infRittWu?(a,{}\\spad{b})} returns \\spad{true} if \\axiom{a} is less than \\axiom{\\spad{b}} \\spad{w}.\\spad{r}.\\spad{t}. the Ritt and Wu Wen Tsun ordering using the refinement of Lazard.")) (|RittWuCompare| (((|Union| (|Boolean|) "failed") $ $) "\\axiom{RittWuCompare(a,{}\\spad{b})} returns \\axiom{\"failed\"} if \\axiom{a} and \\axiom{\\spad{b}} have same rank \\spad{w}.\\spad{r}.\\spad{t}. Ritt and Wu Wen Tsun ordering using the refinement of Lazard,{} otherwise returns \\axiom{infRittWu?(a,{}\\spad{b})}.")) (|mainMonomials| (((|List| $) $) "\\axiom{mainMonomials(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [1],{} otherwise returns the list of the monomials of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainCoefficients| (((|List| $) $) "\\axiom{mainCoefficients(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns [\\spad{p}],{} otherwise returns the list of the coefficients of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|leastMonomial| (($ $) "\\axiom{leastMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} the monomial of \\axiom{\\spad{p}} with lowest degree,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mainMonomial| (($ $) "\\axiom{mainMonomial(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{\\spad{O}},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{1},{} otherwise,{} \\axiom{mvar(\\spad{p})} raised to the power \\axiom{mdeg(\\spad{p})}.")) (|quasiMonic?| (((|Boolean|) $) "\\axiom{quasiMonic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff the initial of \\axiom{\\spad{p}} lies in the base ring \\axiom{\\spad{R}}.")) (|monic?| (((|Boolean|) $) "\\axiom{monic?(\\spad{p})} returns \\spad{false} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns \\spad{true} iff \\axiom{\\spad{p}} is monic as a univariate polynomial in its main variable.")) (|reductum| (($ $ |#4|) "\\axiom{reductum(\\spad{p},{}\\spad{v})} returns the reductum of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in \\axiom{\\spad{v}}.")) (|leadingCoefficient| (($ $ |#4|) "\\axiom{leadingCoefficient(\\spad{p},{}\\spad{v})} returns the leading coefficient of \\axiom{\\spad{p}},{} where \\axiom{\\spad{p}} is viewed as A univariate polynomial in \\axiom{\\spad{v}}.")) (|deepestInitial| (($ $) "\\axiom{deepestInitial(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the last term of \\axiom{iteratedInitials(\\spad{p})}.")) (|iteratedInitials| (((|List| $) $) "\\axiom{iteratedInitials(\\spad{p})} returns \\axiom{[]} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns the list of the iterated initials of \\axiom{\\spad{p}}.")) (|deepestTail| (($ $) "\\axiom{deepestTail(\\spad{p})} returns \\axiom{0} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns tail(\\spad{p}),{} if \\axiom{tail(\\spad{p})} belongs to \\axiom{\\spad{R}} or \\axiom{mvar(tail(\\spad{p})) < mvar(\\spad{p})},{} otherwise returns \\axiom{deepestTail(tail(\\spad{p}))}.")) (|tail| (($ $) "\\axiom{tail(\\spad{p})} returns its reductum,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|head| (($ $) "\\axiom{head(\\spad{p})} returns \\axiom{\\spad{p}} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading term (monomial in the AXIOM sense),{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|init| (($ $) "\\axiom{init(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its leading coefficient,{} where \\axiom{\\spad{p}} is viewed as a univariate polynomial in its main variable.")) (|mdeg| (((|NonNegativeInteger|) $) "\\axiom{mdeg(\\spad{p})} returns an error if \\axiom{\\spad{p}} is \\axiom{0},{} otherwise,{} if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}} returns \\axiom{0},{} otherwise,{} returns the degree of \\axiom{\\spad{p}} in its main variable.")) (|mvar| ((|#4| $) "\\axiom{mvar(\\spad{p})} returns an error if \\axiom{\\spad{p}} belongs to \\axiom{\\spad{R}},{} otherwise returns its main variable \\spad{w}. \\spad{r}. \\spad{t}. to the total ordering on the elements in \\axiom{\\spad{V}}."))) NIL @@ -3882,7 +3882,7 @@ NIL NIL (-988 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}."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-989 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."))) @@ -3954,7 +3954,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-1012)))) (-1006 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."))) -((-2093 . T)) +((-2046 . T)) NIL (-1007 S) ((|constructor| (NIL "This type is used to specify a range of values from type \\spad{S}."))) @@ -3962,7 +3962,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-781))) (|HasCategory| |#1| (QUOTE (-1012)))) (-1008 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| $)) "\\spad{expand(l)} creates a new value of type \\spad{L} in which each segment \\spad{l..h by k} is replaced with \\spad{l,{} l+k,{} ... lN},{} where \\spad{lN <= h < lN+k}. For example,{} \\spad{expand [1..4,{} 7..9] = [1,{}2,{}3,{}4,{}7,{}8,{}9]}."))) -((-2093 . T)) +((-2046 . T)) NIL (-1009 A S) ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#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.")) (< (((|Boolean|) $ $) "\\spad{s < t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) @@ -3970,7 +3970,7 @@ NIL NIL (-1010 S) ((|constructor| (NIL "A set category lists a collection of set-theoretic operations useful for both finite sets and multisets. Note however that finite sets are distinct from multisets. Although the operations defined for set categories are common to both,{} the relationship between the two cannot be described by inclusion or inheritance.")) (|union| (($ |#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.")) (< (((|Boolean|) $ $) "\\spad{s < t} returns \\spad{true} if all elements of set aggregate \\spad{s} are also elements of set aggregate \\spad{t}."))) -((-4219 . T) (-2093 . T)) +((-4219 . T) (-2046 . T)) NIL (-1011 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}."))) @@ -4014,7 +4014,7 @@ NIL NIL (-1021 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.}"))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-1022) ((|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."))) @@ -4054,7 +4054,7 @@ NIL NIL (-1031 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| $) "\\spad{push!(x,{}s)} pushes \\spad{x} onto stack \\spad{s},{} \\spadignore{i.e.} destructively changing \\spad{s} so as to have a new first (top) element \\spad{x}. Afterwards,{} pop!(\\spad{s}) produces \\spad{x} and pop!(\\spad{s}) produces the original \\spad{s}."))) -((-4229 . T) (-4230 . T) (-2093 . T)) +((-4229 . T) (-4230 . T) (-2046 . T)) NIL (-1032 S |ndim| R |Row| |Col|) ((|constructor| (NIL "\\spadtype{SquareMatrixCategory} is a general square matrix category which allows different representations and indexing schemes. Rows and columns may be extracted with rows returned as objects of type Row and colums returned as objects of type Col.")) (** (($ $ (|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."))) @@ -4062,7 +4062,7 @@ NIL ((|HasCategory| |#3| (QUOTE (-336))) (|HasAttribute| |#3| (QUOTE (-4231 "*"))) (|HasCategory| |#3| (QUOTE (-157)))) (-1033 |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."))) -((-2093 . T) (-4229 . T) (-4223 . T) (-4224 . T) (-4226 . T)) +((-2046 . T) (-4229 . T) (-4223 . T) (-4224 . T) (-4226 . T)) NIL (-1034 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}."))) @@ -4078,7 +4078,7 @@ NIL ((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-135))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-512))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-336)))) (-1037 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}"))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-1038 UP -4045) ((|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"))) @@ -4138,7 +4138,7 @@ NIL NIL (-1052) ((|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."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-1053 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.}"))) @@ -4158,12 +4158,12 @@ NIL NIL (-1057 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})}."))) -((-2093 . T)) +((-2046 . T)) NIL (-1058 |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."))) ((-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-1059) ((|constructor| (NIL "A class of objects which can be 'stepped through'. Repeated applications of \\spadfun{nextItem} is guaranteed never to return duplicate items and only return \"failed\" after exhausting all elements of the domain. This assumes that the sequence starts with \\spad{init()}. For infinite domains,{} repeated application of \\spadfun{nextItem} is not required to reach all possible domain elements starting from any initial element. \\blankline Conditional attributes: \\indented{2}{infinite\\tab{15}repeated \\spad{nextItem}\\spad{'s} are never \"failed\".}")) (|nextItem| (((|Union| $ "failed") $) "\\spad{nextItem(x)} returns the next item,{} or \"failed\" if domain is exhausted.")) (|init| (($) "\\spad{init()} chooses an initial object for stepping."))) NIL @@ -4190,7 +4190,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-1012))) (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-520) (QUOTE (-783))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))))) (-1065) ((|constructor| (NIL "A category for string-like objects")) (|string| (($ (|Integer|)) "\\spad{string(i)} returns the decimal representation of \\spad{i} in a string"))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-1066) NIL @@ -4199,7 +4199,7 @@ NIL (-1067 |Entry|) ((|constructor| (NIL "This domain provides tables where the keys are strings. A specialized hash function for strings is used."))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (QUOTE (-1066))) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#1|)))))) (|HasCategory| (-1066) (QUOTE (-783))) (|HasCategory| |#1| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (QUOTE (-1012))) (|HasCategory| |#1| (QUOTE (-1012)))) (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (QUOTE (-1066))) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#1|)))))) (|HasCategory| (-1066) (QUOTE (-783))) (|HasCategory| |#1| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (QUOTE (-1012))) (|HasCategory| |#1| (QUOTE (-1012)))) (-12 (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -283) (|devaluate| |#1|)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#1| (QUOTE (-1012))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#1| (LIST (QUOTE -560) (QUOTE (-791)))))) (-1068 A) ((|constructor| (NIL "StreamTaylorSeriesOperations implements Taylor series arithmetic,{} where a Taylor series is represented by a stream of its coefficients.")) (|power| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{power(a,{}f)} returns the power series \\spad{f} raised to the power \\spad{a}.")) (|lazyGintegrate| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyGintegrate(f,{}r,{}g)} is used for fixed point computations.")) (|mapdiv| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapdiv([a0,{}a1,{}..],{}[b0,{}b1,{}..])} returns \\spad{[a0/b0,{}a1/b1,{}..]}.")) (|powern| (((|Stream| |#1|) (|Fraction| (|Integer|)) (|Stream| |#1|)) "\\spad{powern(r,{}f)} raises power series \\spad{f} to the power \\spad{r}.")) (|nlde| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{nlde(u)} solves a first order non-linear differential equation described by \\spad{u} of the form \\spad{[[b<0,{}0>,{}b<0,{}1>,{}...],{}[b<1,{}0>,{}b<1,{}1>,{}.],{}...]}. the differential equation has the form \\spad{y' = sum(i=0 to infinity,{}j=0 to infinity,{}b<i,{}j>*(x**i)*(y**j))}.")) (|lazyIntegrate| (((|Stream| |#1|) |#1| (|Mapping| (|Stream| |#1|))) "\\spad{lazyIntegrate(r,{}f)} is a local function used for fixed point computations.")) (|integrate| (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{integrate(r,{}a)} returns the integral of the power series \\spad{a} with respect to the power series variableintegration where \\spad{r} denotes the constant of integration. Thus \\spad{integrate(a,{}[a0,{}a1,{}a2,{}...]) = [a,{}a0,{}a1/2,{}a2/3,{}...]}.")) (|invmultisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{invmultisect(a,{}b,{}st)} substitutes \\spad{x**((a+b)*n)} for \\spad{x**n} and multiplies by \\spad{x**b}.")) (|multisect| (((|Stream| |#1|) (|Integer|) (|Integer|) (|Stream| |#1|)) "\\spad{multisect(a,{}b,{}st)} selects the coefficients of \\spad{x**((a+b)*n+a)},{} and changes them to \\spad{x**n}.")) (|generalLambert| (((|Stream| |#1|) (|Stream| |#1|) (|Integer|) (|Integer|)) "\\spad{generalLambert(f(x),{}a,{}d)} returns \\spad{f(x**a) + f(x**(a + d)) + f(x**(a + 2 d)) + ...}. \\spad{f(x)} should have zero constant coefficient and \\spad{a} and \\spad{d} should be positive.")) (|evenlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{evenlambert(st)} computes \\spad{f(x**2) + f(x**4) + f(x**6) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1,{} then \\spad{prod(f(x**(2*n)),{}n=1..infinity) = exp(evenlambert(log(f(x))))}.")) (|oddlambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{oddlambert(st)} computes \\spad{f(x) + f(x**3) + f(x**5) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f}(\\spad{x}) is a power series with constant coefficient 1 then \\spad{prod(f(x**(2*n-1)),{}n=1..infinity) = exp(oddlambert(log(f(x))))}.")) (|lambert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lambert(st)} computes \\spad{f(x) + f(x**2) + f(x**3) + ...} if \\spad{st} is a stream representing \\spad{f(x)}. This function is used for computing infinite products. If \\spad{f(x)} is a power series with constant coefficient 1 then \\spad{prod(f(x**n),{}n = 1..infinity) = exp(lambert(log(f(x))))}.")) (|addiag| (((|Stream| |#1|) (|Stream| (|Stream| |#1|))) "\\spad{addiag(x)} performs diagonal addition of a stream of streams. if \\spad{x} = \\spad{[[a<0,{}0>,{}a<0,{}1>,{}..],{}[a<1,{}0>,{}a<1,{}1>,{}..],{}[a<2,{}0>,{}a<2,{}1>,{}..],{}..]} and \\spad{addiag(x) = [b<0,{}b<1>,{}...],{} then b<k> = sum(i+j=k,{}a<i,{}j>)}.")) (|revert| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{revert(a)} computes the inverse of a power series \\spad{a} with respect to composition. the series should have constant coefficient 0 and first order coefficient 1.")) (|lagrange| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{lagrange(g)} produces the power series for \\spad{f} where \\spad{f} is implicitly defined as \\spad{f(z) = z*g(f(z))}.")) (|compose| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{compose(a,{}b)} composes the power series \\spad{a} with the power series \\spad{b}.")) (|eval| (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{eval(a,{}r)} returns a stream of partial sums of the power series \\spad{a} evaluated at the power series variable equal to \\spad{r}.")) (|coerce| (((|Stream| |#1|) |#1|) "\\spad{coerce(r)} converts a ring element \\spad{r} to a stream with one element.")) (|gderiv| (((|Stream| |#1|) (|Mapping| |#1| (|Integer|)) (|Stream| |#1|)) "\\spad{gderiv(f,{}[a0,{}a1,{}a2,{}..])} returns \\spad{[f(0)*a0,{}f(1)*a1,{}f(2)*a2,{}..]}.")) (|deriv| (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{deriv(a)} returns the derivative of the power series with respect to the power series variable. Thus \\spad{deriv([a0,{}a1,{}a2,{}...])} returns \\spad{[a1,{}2 a2,{}3 a3,{}...]}.")) (|mapmult| (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{mapmult([a0,{}a1,{}..],{}[b0,{}b1,{}..])} returns \\spad{[a0*b0,{}a1*b1,{}..]}.")) (|int| (((|Stream| |#1|) |#1|) "\\spad{int(r)} returns [\\spad{r},{}\\spad{r+1},{}\\spad{r+2},{}...],{} where \\spad{r} is a ring element.")) (|oddintegers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{oddintegers(n)} returns \\spad{[n,{}n+2,{}n+4,{}...]}.")) (|integers| (((|Stream| (|Integer|)) (|Integer|)) "\\spad{integers(n)} returns \\spad{[n,{}n+1,{}n+2,{}...]}.")) (|monom| (((|Stream| |#1|) |#1| (|Integer|)) "\\spad{monom(deg,{}coef)} is a monomial of degree \\spad{deg} with coefficient \\spad{coef}.")) (|recip| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|)) "\\spad{recip(a)} returns the power series reciprocal of \\spad{a},{} or \"failed\" if not possible.")) (/ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a / b} returns the power series quotient of \\spad{a} by \\spad{b}. An error message is returned if \\spad{b} is not invertible. This function is used in fixed point computations.")) (|exquo| (((|Union| (|Stream| |#1|) "failed") (|Stream| |#1|) (|Stream| |#1|)) "\\spad{exquo(a,{}b)} returns the power series quotient of \\spad{a} by \\spad{b},{} if the quotient exists,{} and \"failed\" otherwise")) (* (((|Stream| |#1|) (|Stream| |#1|) |#1|) "\\spad{a * r} returns the power series scalar multiplication of \\spad{a} by \\spad{r:} \\spad{[a0,{}a1,{}...] * r = [a0 * r,{}a1 * r,{}...]}") (((|Stream| |#1|) |#1| (|Stream| |#1|)) "\\spad{r * a} returns the power series scalar multiplication of \\spad{r} by \\spad{a}: \\spad{r * [a0,{}a1,{}...] = [r * a0,{}r * a1,{}...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a * b} returns the power series (Cauchy) product of \\spad{a} and \\spad{b:} \\spad{[a0,{}a1,{}...] * [b0,{}b1,{}...] = [c0,{}c1,{}...]} where \\spad{ck = sum(i + j = k,{}\\spad{ai} * bk)}.")) (- (((|Stream| |#1|) (|Stream| |#1|)) "\\spad{- a} returns the power series negative of \\spad{a}: \\spad{- [a0,{}a1,{}...] = [- a0,{}- a1,{}...]}") (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a - b} returns the power series difference of \\spad{a} and \\spad{b}: \\spad{[a0,{}a1,{}..] - [b0,{}b1,{}..] = [a0 - b0,{}a1 - b1,{}..]}")) (+ (((|Stream| |#1|) (|Stream| |#1|) (|Stream| |#1|)) "\\spad{a + b} returns the power series sum of \\spad{a} and \\spad{b}: \\spad{[a0,{}a1,{}..] + [b0,{}b1,{}..] = [a0 + b0,{}a1 + b1,{}..]}"))) NIL @@ -4226,8 +4226,8 @@ NIL NIL (-1074 |Coef| |var| |cen|) ((|constructor| (NIL "Sparse Laurent series in one variable \\indented{2}{\\spadtype{SparseUnivariateLaurentSeries} is a domain representing Laurent} \\indented{2}{series in one variable with coefficients in an arbitrary ring.\\space{2}The} \\indented{2}{parameters of the type specify the coefficient ring,{} the power series} \\indented{2}{variable,{} and the center of the power series expansion.\\space{2}For example,{}} \\indented{2}{\\spad{SparseUnivariateLaurentSeries(Integer,{}x,{}3)} represents Laurent} \\indented{2}{series in \\spad{(x - 3)} with integer coefficients.}")) (|integrate| (($ $ (|Variable| |#2|)) "\\spad{integrate(f(x))} returns an anti-derivative of the power series \\spad{f(x)} with constant coefficient 0. 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(|sum| ((|#2| |#2| (|SegmentBinding| |#2|)) "\\spad{sum(f(n),{} n = a..b)} returns \\spad{f}(a) + \\spad{f}(a+1) + ... + \\spad{f}(\\spad{b}).") ((|#2| |#2| (|Symbol|)) "\\spad{sum(a(n),{} n)} returns A(\\spad{n}) such that A(\\spad{n+1}) - A(\\spad{n}) = a(\\spad{n})."))) 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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}."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4223 . T) (-4224 . T) (-4226 . 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(NOT (($ $) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.") (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{NOT(x)} returns the \\axiomType{Switch} expression representing \\spad{\\~~x}.")) (AND (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{AND(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x and y}.")) (EQ (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{EQ(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x = y}.")) (OR (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{OR(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x or y}.")) (GE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>=y}.")) (LE (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LE(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<=y}.")) (GT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{GT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x>y}.")) (LT (($ (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $)) (|Union| (|:| I (|Expression| (|Integer|))) (|:| F (|Expression| (|Float|))) (|:| CF (|Expression| (|Complex| (|Float|)))) (|:| |switch| $))) "\\spad{LT(x,{}y)} returns the \\axiomType{Switch} expression representing \\spad{x<y}.")) (|coerce| (($ (|Symbol|)) "\\spad{coerce(s)} \\undocumented{}"))) NIL @@ -4299,7 +4299,7 @@ NIL (-1092 |Key| |Entry|) ((|constructor| (NIL "This is the general purpose table type. The keys are hashed to look up the entries. This creates a \\spadtype{HashTable} if equal for the Key domain is consistent with Lisp EQUAL otherwise an \\spadtype{AssociationList}"))) ((-4229 . T) (-4230 . T)) -((|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2534) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3049) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) +((|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -561) (QUOTE (-496)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (-12 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -283) (LIST (QUOTE -2) (LIST (QUOTE |:|) (QUOTE -2526) (|devaluate| |#1|)) (LIST (QUOTE |:|) (QUOTE -3043) (|devaluate| |#2|)))))) (|HasCategory| |#1| (QUOTE (-783))) (|HasCategory| |#2| (QUOTE (-1012))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| |#2| (QUOTE (-1012)))) (-12 (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -283) (|devaluate| |#2|)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (QUOTE (-1012))) (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (QUOTE (-1012))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791))))) (-3700 (|HasCategory| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (LIST (QUOTE -560) (QUOTE (-791)))) (|HasCategory| |#2| (LIST (QUOTE -560) (QUOTE (-791)))))) (-1093 R) ((|constructor| (NIL "Expands tangents of sums and scalar products.")) (|tanNa| ((|#1| |#1| (|Integer|)) "\\spad{tanNa(a,{} n)} returns \\spad{f(a)} such that if \\spad{a = tan(u)} then \\spad{f(a) = tan(n * u)}.")) (|tanAn| (((|SparseUnivariatePolynomial| |#1|) |#1| (|PositiveInteger|)) "\\spad{tanAn(a,{} n)} returns \\spad{P(x)} such that if \\spad{a = tan(u)} then \\spad{P(tan(u/n)) = 0}.")) (|tanSum| ((|#1| (|List| |#1|)) "\\spad{tanSum([a1,{}...,{}an])} returns \\spad{f(a1,{}...,{}an)} such that if \\spad{\\spad{ai} = tan(\\spad{ui})} then \\spad{f(a1,{}...,{}an) = tan(u1 + ... + un)}."))) NIL @@ -4310,7 +4310,7 @@ NIL NIL (-1095 |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})}."))) -((-4230 . T) (-2093 . T)) +((-4230 . T) (-2046 . T)) NIL (-1096 |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."))) @@ -4378,7 +4378,7 @@ NIL ((|HasCategory| |#4| (QUOTE (-341)))) (-1112 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|) $ $) "\\axiom{infRittWu?(\\spad{ts1},{}\\spad{ts2})} returns \\spad{true} iff \\axiom{\\spad{ts2}} has higher rank than \\axiom{\\spad{ts1}} in Wu Wen Tsun sense."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-1113 |Coef|) ((|constructor| (NIL "\\spadtype{TaylorSeries} is a general multivariate Taylor series domain over the ring Coef and with variables of type Symbol.")) (|fintegrate| (($ (|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}."))) @@ -4402,7 +4402,7 @@ NIL NIL (-1118) ((|constructor| (NIL "The fundamental Type."))) -((-2093 . T)) +((-2046 . T)) NIL (-1119 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}.}"))) @@ -4434,16 +4434,16 @@ NIL ((|HasCategory| |#2| (QUOTE (-336)))) (-1126 |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)]}.")) (|degree| (((|Integer|) $) "\\spad{degree(f(x))} returns the degree of the lowest order term of \\spad{f(x)},{} which may have zero as a coefficient.")) (|laurent| (($ (|Integer|) |#2|) "\\spad{laurent(n,{}f(x))} returns \\spad{x**n * f(x)}."))) -(((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-2093 |has| |#1| (-336)) (-4223 . T) (-4224 . T) (-4226 . T)) +(((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-2046 |has| |#1| (-336)) (-4223 . T) (-4224 . T) (-4226 . T)) NIL (-1127 |Coef| UTS) ((|constructor| (NIL "This package enables one to construct a univariate Laurent series domain from a univariate Taylor series domain. Univariate Laurent series are represented by a pair \\spad{[n,{}f(x)]},{} where \\spad{n} is an arbitrary integer and \\spad{f(x)} is a Taylor series. This pair represents the Laurent series \\spad{x**n * f(x)}."))) 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-37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -3517) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|)))))) (-3700 (-12 (|HasCategory| (-1156 |#1| |#2| |#3|) (LIST (QUOTE -960) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-336)))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| (-1156 |#1| |#2| |#3|) (QUOTE (-837))) (|HasCategory| |#1| (QUOTE (-336)))) (-3700 (-12 (|HasCategory| $ (QUOTE (-133))) (|HasCategory| (-1156 |#1| |#2| |#3|) (QUOTE (-837))) (|HasCategory| |#1| (QUOTE (-336)))) (-12 (|HasCategory| (-1156 |#1| |#2| |#3|) (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-336)))) (|HasCategory| |#1| (QUOTE (-133))))) (-1129 ZP) ((|constructor| (NIL "Package for the factorization of univariate polynomials with integer coefficients. The factorization is done by \"lifting\" (HENSEL) the factorization over a finite field.")) (|henselFact| (((|Record| (|:| |contp| (|Integer|)) (|:| |factors| (|List| (|Record| (|:| |irr| |#1|) (|:| |pow| (|Integer|)))))) |#1| (|Boolean|)) "\\spad{henselFact(m,{}flag)} returns the factorization of \\spad{m},{} FinalFact is a Record \\spad{s}.\\spad{t}. FinalFact.contp=content \\spad{m},{} FinalFact.factors=List of irreducible factors of \\spad{m} with exponent ,{} if \\spad{flag} =true the polynomial is assumed square free.")) (|factorSquareFree| (((|Factored| |#1|) |#1|) "\\spad{factorSquareFree(m)} returns the factorization of \\spad{m} square free polynomial")) (|factor| (((|Factored| |#1|) |#1|) "\\spad{factor(m)} returns the factorization of \\spad{m}"))) NIL @@ -4495,7 +4495,7 @@ NIL (-1141 S |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#2|) $ |#2|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#3|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#2| $ |#3|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#3| |#3|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#3|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#3| $ |#3|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#3| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#2| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#2| $ |#3|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#3|) (|:| |c| |#2|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) NIL -((|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1024))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2222) (LIST (|devaluate| |#2|) (QUOTE (-1083)))))) +((|HasCategory| |#2| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#2| (LIST (QUOTE *) (LIST (|devaluate| |#2|) (|devaluate| |#3|) (|devaluate| |#2|)))) (|HasCategory| |#3| (QUOTE (-1024))) (|HasSignature| |#2| (LIST (QUOTE **) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (|devaluate| |#3|)))) (|HasSignature| |#2| (LIST (QUOTE -2188) (LIST (|devaluate| |#2|) (QUOTE (-1083)))))) (-1142 |Coef| |Expon|) ((|constructor| (NIL "\\spadtype{UnivariatePowerSeriesCategory} is the most general univariate power series category with exponents in an ordered abelian monoid. Note: this category exports a substitution function if it is possible to multiply exponents. Note: this category exports a derivative operation if it is possible to multiply coefficients by exponents.")) (|eval| (((|Stream| |#1|) $ |#1|) "\\spad{eval(f,{}a)} evaluates a power series at a value in the ground ring by returning a stream of partial sums.")) (|extend| (($ $ |#2|) "\\spad{extend(f,{}n)} causes all terms of \\spad{f} of degree \\spad{<=} \\spad{n} to be computed.")) (|approximate| ((|#1| $ |#2|) "\\spad{approximate(f)} returns a truncated power series with the series variable viewed as an element of the coefficient domain.")) (|truncate| (($ $ |#2| |#2|) "\\spad{truncate(f,{}k1,{}k2)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{d} with \\spad{k1 <= d <= k2}.") (($ $ |#2|) "\\spad{truncate(f,{}k)} returns a (finite) power series consisting of the sum of all terms of \\spad{f} of degree \\spad{<= k}.")) (|order| ((|#2| $ |#2|) "\\spad{order(f,{}n) = min(m,{}n)},{} where \\spad{m} is the degree of the lowest order non-zero term in \\spad{f}.") ((|#2| $) "\\spad{order(f)} is the degree of the lowest order non-zero term in \\spad{f}. This will result in an infinite loop if \\spad{f} has no non-zero terms.")) (|multiplyExponents| (($ $ (|PositiveInteger|)) "\\spad{multiplyExponents(f,{}n)} multiplies all exponents of the power series \\spad{f} by the positive integer \\spad{n}.")) (|center| ((|#1| $) "\\spad{center(f)} returns the point about which the series \\spad{f} is expanded.")) (|variable| (((|Symbol|) $) "\\spad{variable(f)} returns the (unique) power series variable of the power series \\spad{f}.")) (|elt| ((|#1| $ |#2|) "\\spad{elt(f(x),{}r)} returns the coefficient of the term of degree \\spad{r} in \\spad{f(x)}. This is the same as the function \\spadfun{coefficient}.")) (|terms| (((|Stream| (|Record| (|:| |k| |#2|) (|:| |c| |#1|))) $) "\\spad{terms(f(x))} returns a stream of non-zero terms,{} where a a term is an exponent-coefficient pair. The terms in the stream are ordered by increasing order of exponents."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4223 . T) (-4224 . T) (-4226 . T)) @@ -4523,11 +4523,11 @@ NIL (-1148 |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)}."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4223 . T) (-4224 . T) (-4226 . T)) -((|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2222) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -1213) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2188) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -3517) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) (-1149 |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."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4227 |has| |#1| (-336)) (-4221 |has| |#1| (-336)) (-4223 . T) (-4224 . T) (-4226 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2222) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -1213) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520))) (|devaluate| |#1|))))) (|HasCategory| (-380 (-520)) (QUOTE (-1024))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (-3700 (|HasCategory| |#1| (QUOTE (-336))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (LIST (QUOTE -380) (QUOTE (-520)))))) (|HasSignature| |#1| (LIST (QUOTE -2188) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -3517) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) (-1150 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") $) "\\spad{limitPlus(f(var))} returns \\spad{limit(var -> cen+,{}f(var))}."))) (((-4231 "*") |has| (-1149 |#2| |#3| |#4|) (-157)) (-4222 |has| (-1149 |#2| |#3| |#4|) (-512)) (-4223 . T) (-4224 . T) (-4226 . T)) @@ -4538,7 +4538,7 @@ NIL ((|HasAttribute| |#1| (QUOTE -4230))) (-1152 S) ((|constructor| (NIL "A unary-recursive aggregate is a one where nodes may have either 0 or 1 children. This aggregate models,{} though not precisely,{} a linked list possibly with a single cycle. A node with one children models a non-empty list,{} with the \\spadfun{value} of the list designating the head,{} or \\spadfun{first},{} of the list,{} and the child designating the tail,{} or \\spadfun{rest},{} of the list. A node with no child then designates the empty list. Since these aggregates are recursive aggregates,{} they may be cyclic.")) (|split!| (($ $ (|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| $) "\\spad{concat(x,{}u)} returns aggregate consisting of \\spad{x} followed by the elements of \\spad{u}. Note: if \\axiom{\\spad{v} = concat(\\spad{x},{}\\spad{u})} then \\axiom{\\spad{x} = first \\spad{v}} and \\axiom{\\spad{u} = rest \\spad{v}}.") (($ $ $) "\\spad{concat(u,{}v)} returns an aggregate \\spad{w} consisting of the elements of \\spad{u} followed by the elements of \\spad{v}. Note: \\axiom{\\spad{v} = rest(\\spad{w},{}\\#a)}."))) -((-2093 . T)) +((-2046 . T)) NIL (-1153 |Coef1| |Coef2| UTS1 UTS2) ((|constructor| (NIL "Mapping package for univariate Taylor series. \\indented{2}{This package allows one to apply a function to the coefficients of} \\indented{2}{a univariate Taylor series.}")) (|map| ((|#4| (|Mapping| |#2| |#1|) |#3|) "\\spad{map(f,{}g(x))} applies the map \\spad{f} to the coefficients of \\indented{1}{the Taylor series \\spad{g(x)}.}"))) @@ -4547,7 +4547,7 @@ NIL (-1154 S |Coef|) ((|constructor| (NIL "\\spadtype{UnivariateTaylorSeriesCategory} is the category of Taylor series in one variable.")) (|integrate| (($ $ (|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 (-520)))) (|HasCategory| |#2| (QUOTE (-886))) (|HasCategory| |#2| (QUOTE (-1104))) (|HasSignature| |#2| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -1213) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1083))))) (|HasCategory| |#2| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-336)))) +((|HasCategory| |#2| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#2| (QUOTE (-886))) (|HasCategory| |#2| (QUOTE (-1104))) (|HasSignature| |#2| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#2|)))) (|HasSignature| |#2| (LIST (QUOTE -3517) (LIST (|devaluate| |#2|) (|devaluate| |#2|) (QUOTE (-1083))))) (|HasCategory| |#2| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#2| (QUOTE (-336)))) (-1155 |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."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4223 . T) (-4224 . T) (-4226 . T)) @@ -4555,7 +4555,7 @@ NIL (-1156 |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}."))) (((-4231 "*") |has| |#1| (-157)) (-4222 |has| |#1| (-512)) (-4223 . T) (-4224 . T) (-4226 . T)) -((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-706)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-706)) (|devaluate| |#1|))))) (|HasCategory| (-706) (QUOTE (-1024))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-706))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-706))))) (|HasSignature| |#1| (LIST (QUOTE -2222) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -1213) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) +((|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasCategory| |#1| (QUOTE (-512))) (|HasCategory| |#1| (QUOTE (-157))) (-3700 (|HasCategory| |#1| (QUOTE (-157))) (|HasCategory| |#1| (QUOTE (-512)))) (|HasCategory| |#1| (QUOTE (-133))) (|HasCategory| |#1| (QUOTE (-135))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-706)) (|devaluate| |#1|)))) (-12 (|HasCategory| |#1| (LIST (QUOTE -828) (QUOTE (-1083)))) (|HasSignature| |#1| (LIST (QUOTE *) (LIST (|devaluate| |#1|) (QUOTE (-706)) (|devaluate| |#1|))))) (|HasCategory| (-706) (QUOTE (-1024))) (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-706))))) (-12 (|HasSignature| |#1| (LIST (QUOTE **) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-706))))) (|HasSignature| |#1| (LIST (QUOTE -2188) (LIST (|devaluate| |#1|) (QUOTE (-1083)))))) (|HasCategory| |#1| (QUOTE (-336))) (-3700 (-12 (|HasCategory| |#1| (LIST (QUOTE -29) (QUOTE (-520)))) (|HasCategory| |#1| (QUOTE (-886))) (|HasCategory| |#1| (QUOTE (-1104))) (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520)))))) (-12 (|HasCategory| |#1| (LIST (QUOTE -37) (LIST (QUOTE -380) (QUOTE (-520))))) (|HasSignature| |#1| (LIST (QUOTE -3517) (LIST (|devaluate| |#1|) (|devaluate| |#1|) (QUOTE (-1083))))) (|HasSignature| |#1| (LIST (QUOTE -4081) (LIST (LIST (QUOTE -586) (QUOTE (-1083))) (|devaluate| |#1|))))))) (-1157 |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 @@ -4566,7 +4566,7 @@ NIL ((|HasCategory| |#1| (QUOTE (-512)))) (-1159) ((|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."))) -((-2093 . T)) +((-2046 . T)) NIL (-1160 |sym|) ((|constructor| (NIL "This domain implements variables")) (|variable| (((|Symbol|)) "\\spad{variable()} returns the symbol")) (|coerce| (((|Symbol|) $) "\\spad{coerce(x)} returns the symbol"))) @@ -4578,7 +4578,7 @@ NIL ((|HasCategory| |#2| (QUOTE (-926))) (|HasCategory| |#2| (QUOTE (-969))) (|HasCategory| |#2| (QUOTE (-662))) (|HasCategory| |#2| (QUOTE (-21))) (|HasCategory| |#2| (QUOTE (-23))) (|HasCategory| |#2| (QUOTE (-25)))) (-1162 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."))) -((-4230 . T) (-4229 . T) (-2093 . T)) +((-4230 . T) (-4229 . T) (-2046 . T)) NIL (-1163 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 2e3cb041..03d5fcf5 100644 --- a/src/share/algebra/category.daase +++ b/src/share/algebra/category.daase @@ -1,6 +1,6 @@ -(142449 . 3409757251) -(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(142449 . 3409760523) +(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((|#2| |#2|) . T)) ((((-520)) . T)) ((($ $) -3700 (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-424)) (|has| |#2| (-512)) (|has| |#2| (-837))) ((|#2| |#2|) . T) ((#0=(-380 (-520)) #0#) |has| |#2| (-37 (-380 (-520))))) @@ -41,10 +41,10 @@ (((|#1|) . T) (((-520)) |has| |#1| (-960 (-520))) (((-380 (-520))) |has| |#1| (-960 (-380 (-520))))) (-3700 (|has| |#2| (-157)) (|has| |#2| (-424)) (|has| |#2| (-512)) (|has| |#2| (-837))) (-3700 (|has| |#1| (-157)) (|has| |#1| (-424)) (|has| |#1| (-512)) (|has| |#1| (-837))) -(((|#2| (-453 (-3479 |#1|) (-706))) . T)) +(((|#2| (-453 (-3474 |#1|) (-706))) . T)) (((|#1| (-492 (-1083))) . T)) (((#0=(-798 |#1|) #0#) . T) ((#1=(-380 (-520)) #1#) . T) (($ $) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (|has| |#4| (-341)) (|has| |#3| (-341)) (((|#1|) . T)) @@ -92,7 +92,7 @@ ((($) . T)) (|has| |#1| (-341)) (((|#1|) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) ((((-791)) . T)) ((((-791)) . T)) @@ -202,8 +202,8 @@ (((|#1|) . T)) ((((-380 (-520))) |has| |#1| (-960 (-380 (-520)))) (((-520)) |has| |#1| (-960 (-520))) ((|#1|) . T)) (((|#1|) . T) (((-520)) |has| |#1| (-582 (-520)))) -(((|#2|) . T) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -(((|#1|) . T) (((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +(((|#2|) . T) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +(((|#1|) . T) (((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) (|has| |#1| (-512)) (|has| |#1| (-512)) (((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) @@ -238,7 +238,7 @@ (((|#1|) . T) (((-520)) |has| |#1| (-960 (-520))) (((-380 (-520))) |has| |#1| (-960 (-380 (-520))))) ((($) . T) (((-380 (-520))) |has| |#2| (-37 (-380 (-520)))) ((|#2|) . T)) ((((-380 $) (-380 $)) |has| |#2| (-512)) (($ $) . T) ((|#2| |#2|) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))) . T)) (((|#1|) . T)) (|has| |#2| (-837)) ((((-1066) (-51)) . T)) @@ -271,7 +271,7 @@ (((|#1|) . T)) (((|#2| |#2|) . T)) (|has| |#1| (-1059)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) (|has| (-1150 |#1| |#2| |#3| |#4|) (-133)) (|has| (-1150 |#1| |#2| |#3| |#4|) (-135)) (|has| |#1| (-133)) @@ -288,9 +288,9 @@ ((($) . T) ((|#1|) . T)) (((|#2|) |has| |#2| (-969))) ((((-791)) . T)) -(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((|#1|) . T)) -(((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) ((#0=(-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) #0#) |has| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (-283 (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))))) +(((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) ((#0=(-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) #0#) |has| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (-283 (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))))) ((((-520) |#1|) . T)) ((((-791)) . T)) ((((-496)) -12 (|has| |#1| (-561 (-496))) (|has| |#2| (-561 (-496)))) (((-820 (-352))) -12 (|has| |#1| (-561 (-820 (-352)))) (|has| |#2| (-561 (-820 (-352))))) (((-820 (-520))) -12 (|has| |#1| (-561 (-820 (-520)))) (|has| |#2| (-561 (-820 (-520)))))) @@ -381,11 +381,11 @@ ((((-132)) . T)) (((|#3|) |has| |#3| (-1012)) (((-520)) -12 (|has| |#3| (-960 (-520))) (|has| |#3| (-1012))) (((-380 (-520))) -12 (|has| |#3| (-960 (-380 (-520)))) (|has| |#3| (-1012)))) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1|) . T)) ((((-791)) -3700 (|has| |#1| (-560 (-791))) (|has| |#1| (-783)) (|has| |#1| (-1012)))) ((((-496)) |has| |#1| (-561 (-496)))) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) (|has| |#1| (-336)) (-3700 (|has| |#1| (-21)) (|has| |#1| (-781))) ((((-1083) |#1|) |has| |#1| (-481 (-1083) |#1|)) ((|#1| |#1|) |has| |#1| (-283 |#1|))) @@ -394,13 +394,13 @@ (|has| |#1| (-781)) (-3700 (|has| |#1| (-783)) (|has| |#1| (-1012))) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-496)) |has| |#1| (-561 (-496)))) (((|#1| |#2|) . T)) ((((-1083)) -12 (|has| |#1| (-336)) (|has| |#1| (-828 (-1083))))) ((((-1066) |#1|) . T)) (((|#1| |#2| |#3| (-492 |#3|)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (|has| |#1| (-341)) (|has| |#1| (-341)) (|has| |#1| (-341)) @@ -583,7 +583,7 @@ (((|#4| |#4|) -12 (|has| |#4| (-283 |#4|)) (|has| |#4| (-1012)))) (((|#2|) . T) (((-520)) |has| |#2| (-960 (-520))) (((-380 (-520))) |has| |#2| (-960 (-380 (-520))))) (((|#3| |#3|) -12 (|has| |#3| (-283 |#3|)) (|has| |#3| (-1012)))) -(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((|#1|) . T)) (((|#1| |#2|) . T)) ((($) . T)) @@ -591,7 +591,7 @@ (((|#2|) . T)) (((|#3|) . T)) (-3700 (|has| |#1| (-783)) (|has| |#1| (-1012))) -(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((|#2|) . T)) ((((-791)) -3700 (|has| |#2| (-25)) (|has| |#2| (-124)) (|has| |#2| (-560 (-791))) (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-341)) (|has| |#2| (-728)) (|has| |#2| (-781)) (|has| |#2| (-969)) (|has| |#2| (-1012))) (((-1164 |#2|)) . T)) (((|#1|) |has| |#1| (-157))) @@ -663,9 +663,9 @@ (-3700 (|has| |#1| (-424)) (|has| |#1| (-837))) ((((-520) |#2|) . T)) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) ((($) -3700 (|has| |#3| (-157)) (|has| |#3| (-781)) (|has| |#3| (-969))) ((|#3|) -3700 (|has| |#3| (-157)) (|has| |#3| (-336)) (|has| |#3| (-969)))) ((((-520) |#1|) . T)) @@ -680,11 +680,11 @@ (|has| |#1| (-512)) (|has| |#1| (-37 (-380 (-520)))) (|has| |#1| (-37 (-380 (-520)))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-791)) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) (|has| |#1| (-37 (-380 (-520)))) -((((-361) (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-361) (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) (|has| |#1| (-37 (-380 (-520)))) (|has| |#2| (-1059)) (-3700 (|has| |#1| (-336)) (|has| |#1| (-512))) @@ -855,7 +855,7 @@ (|has| |#1| (-135)) (|has| |#1| (-133)) (|has| |#4| (-781)) -(((|#2| (-216 (-3479 |#1|) (-706)) (-793 |#1|)) . T)) +(((|#2| (-216 (-3474 |#1|) (-706)) (-793 |#1|)) . T)) (|has| |#3| (-781)) (((|#1| (-492 |#3|) |#3|) . T)) (|has| |#1| (-135)) @@ -875,7 +875,7 @@ (|has| |#2| (-157)) (((|#1| |#2|) . T)) (-12 (|has| |#2| (-209)) (|has| |#2| (-969))) -(((|#2|) . T) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (-3700 (|has| |#3| (-728)) (|has| |#3| (-781))) (-3700 (|has| |#3| (-728)) (|has| |#3| (-781))) ((((-791)) . T)) @@ -905,10 +905,10 @@ (((|#1| (-380 (-520))) . T)) (((|#3|) . T) (((-559 $)) . T)) (((|#1| |#2|) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((($ $) . T) ((|#2| $) . T)) (((|#1|) . T) (((-380 (-520))) . T) (($) . T)) (((#0=(-1081 |#1| |#2| |#3|) #0#) -12 (|has| (-1081 |#1| |#2| |#3|) (-283 (-1081 |#1| |#2| |#3|))) (|has| |#1| (-336))) (((-1083) #0#) -12 (|has| (-1081 |#1| |#2| |#3|) (-481 (-1083) (-1081 |#1| |#2| |#3|))) (|has| |#1| (-336)))) @@ -916,8 +916,8 @@ ((((-791)) . T)) ((((-791)) . T)) (((|#1| |#1|) . T)) -(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) -(((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) (((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) |has| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (-283 (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))))) +(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) +(((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) (((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) |has| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (-283 (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))))) ((((-791)) . T)) (((|#1|) . T)) (((|#3| |#3|) . T)) @@ -930,7 +930,7 @@ (|has| |#1| (-1012)) (((|#2| |#2|) -3700 (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-969))) (($ $) |has| |#2| (-157))) (((|#2|) -3700 (|has| |#2| (-157)) (|has| |#2| (-336)))) -((((-520) (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T) ((|#1| |#2|) . T)) +((((-520) (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T) ((|#1| |#2|) . T)) (((|#2|) -3700 (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-969))) (($) |has| |#2| (-157))) ((((-706)) . T)) ((((-520)) . T)) @@ -960,7 +960,7 @@ (-3700 (|has| |#2| (-25)) (|has| |#2| (-124)) (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-341)) (|has| |#2| (-728)) (|has| |#2| (-781)) (|has| |#2| (-969)) (|has| |#2| (-1012))) (-12 (|has| |#3| (-209)) (|has| |#3| (-969))) (|has| |#2| (-1059)) -(((#0=(-51)) . T) (((-2 (|:| -2534 (-1083)) (|:| -3049 #0#))) . T)) +(((#0=(-51)) . T) (((-2 (|:| -2526 (-1083)) (|:| -3043 #0#))) . T)) (((|#1| |#2|) . T)) (-3700 (|has| |#3| (-157)) (|has| |#3| (-781)) (|has| |#3| (-969))) (((|#1| (-520) (-997)) . T)) @@ -985,7 +985,7 @@ ((((-791)) . T)) (|has| |#1| (-322)) (((|#1|) . T)) -(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (|has| |#1| (-512)) (((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) ((((-791)) . T)) @@ -1036,7 +1036,7 @@ (-12 (|has| |#1| (-728)) (|has| |#2| (-728))) (-3700 (|has| |#2| (-157)) (|has| |#2| (-781)) (|has| |#2| (-969))) (((|#2|) . T) (($) . T)) -(((|#2|) . T) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (|has| |#1| (-1104)) (((#0=(-520) #0#) . T) ((#1=(-380 (-520)) #1#) . T) (($ $) . T)) ((((-380 (-520))) . T) (($) . T)) @@ -1065,7 +1065,7 @@ (|has| |#1| (-781)) ((($) . T) (((-380 (-520))) -3700 (|has| |#1| (-336)) (|has| |#1| (-322))) ((|#1|) . T)) (-3700 (|has| |#1| (-157)) (|has| |#1| (-512))) -(((#0=(-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) #0#) |has| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (-283 (-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))))) +(((#0=(-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) #0#) |has| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (-283 (-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))))) ((($) . T)) (|has| |#2| (-783)) ((($) . T)) @@ -1078,10 +1078,10 @@ ((((-791)) . T)) ((((-520)) |has| #0=(-380 |#2|) (-582 (-520))) ((#0#) . T)) ((((-520) (-132)) . T)) -((((-520) (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T) ((|#1| |#2|) . T)) +((((-520) (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T) ((|#1| |#2|) . T)) ((((-380 (-520))) . T) (($) . T)) (((|#1|) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-791)) . T)) ((((-838 |#1|)) . T)) (|has| |#1| (-336)) @@ -1106,7 +1106,7 @@ ((($) . T)) (((|#2|) . T) (($) . T)) (((|#1|) |has| |#1| (-157))) -((((-520) (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T) ((|#1| |#2|) . T)) +((((-520) (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T) ((|#1| |#2|) . T)) (((|#1|) . T)) ((($) |has| |#1| (-512)) ((|#1|) |has| |#1| (-157)) (((-380 (-520))) |has| |#1| (-37 (-380 (-520))))) (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) @@ -1118,7 +1118,7 @@ (((|#1|) . T)) ((((-496)) |has| |#1| (-561 (-496))) (((-820 (-352))) |has| |#1| (-561 (-820 (-352)))) (((-820 (-520))) |has| |#1| (-561 (-820 (-520))))) ((((-791)) . T)) -(((|#2|) . T) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (|has| |#2| (-781)) (-12 (|has| |#2| (-209)) (|has| |#2| (-969))) (|has| |#1| (-512)) @@ -1143,7 +1143,7 @@ (((|#1|) . T)) (((|#2|) . T)) ((((-1083)) |has| (-380 |#2|) (-828 (-1083)))) -(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) ((($) . T)) ((($) . T)) (((|#2|) . T)) @@ -1153,7 +1153,7 @@ (((|#2| |#2|) -3700 (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-969))) (($ $) |has| |#2| (-157))) ((((-791)) . T)) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T) ((|#2|) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T) ((|#2|) . T)) ((((-791)) . T)) ((((-791)) . T)) ((((-1066) (-1083) (-520) (-201) (-791)) . T)) @@ -1235,7 +1235,7 @@ ((((-923 |#1|)) . T) ((|#1|) . T)) ((((-791)) . T)) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-380 (-520))) . T) (((-380 |#1|)) . T) ((|#1|) . T) (($) . T)) (((|#1| (-1079 |#1|)) . T)) ((((-520)) . T) (($) . T) (((-380 (-520))) . T)) @@ -1243,7 +1243,7 @@ (|has| |#1| (-783)) (((|#2|) . T)) ((((-520)) . T) (($) . T) (((-380 (-520))) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) ((((-520) |#2|) . T)) ((((-791)) -3700 (|has| |#1| (-560 (-791))) (|has| |#1| (-1012)))) (((|#2|) . T)) @@ -1260,7 +1260,7 @@ (((|#3|) -12 (|has| |#3| (-283 |#3|)) (|has| |#3| (-1012)))) (((|#2|) . T)) (((|#1|) . T)) -(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((|#2| |#2|) . T)) (|has| |#2| (-336)) (((|#2|) . T) (((-520)) |has| |#2| (-960 (-520))) (((-380 (-520))) |has| |#2| (-960 (-380 (-520))))) @@ -1290,7 +1290,7 @@ (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) (((|#1| |#2|) . T)) ((((-520) (-132)) . T)) -(((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012)))) +(((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)))) ((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012)))) ((($) -3700 (|has| |#1| (-424)) (|has| |#1| (-512)) (|has| |#1| (-837))) ((|#1|) |has| |#1| (-157)) (((-380 (-520))) |has| |#1| (-37 (-380 (-520))))) (|has| |#1| (-783)) (((|#2| (-706) (-997)) . T)) @@ -1332,7 +1332,7 @@ ((((-361) (-1066)) . T)) ((($) |has| |#1| (-512)) ((|#1|) |has| |#1| (-157)) (((-380 (-520))) |has| |#1| (-37 (-380 (-520))))) ((((-791)) -3700 (|has| |#2| (-25)) (|has| |#2| (-124)) (|has| |#2| (-560 (-791))) (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-341)) (|has| |#2| (-728)) (|has| |#2| (-781)) (|has| |#2| (-969)) (|has| |#2| (-1012))) (((-1164 |#2|)) . T)) -(((#0=(-51)) . T) (((-2 (|:| -2534 (-1066)) (|:| -3049 #0#))) . T)) +(((#0=(-51)) . T) (((-2 (|:| -2526 (-1066)) (|:| -3043 #0#))) . T)) (((|#1|) . T)) ((((-791)) . T)) (((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012)))) @@ -1358,7 +1358,7 @@ ((((-791)) . T)) ((((-791)) . T)) (|has| |#1| (-1012)) -(((|#2| (-453 (-3479 |#1|) (-706)) (-793 |#1|)) . T)) +(((|#2| (-453 (-3474 |#1|) (-706)) (-793 |#1|)) . T)) ((((-380 (-520))) . #0=(|has| |#2| (-336))) (($) . #0#)) (((|#1| (-492 (-1083)) (-1083)) . T)) (((|#1|) . T)) @@ -1378,11 +1378,11 @@ (|has| |#1| (-135)) (((|#1|) . T)) (((|#2|) . T)) -(((|#1|) . T) (((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +(((|#1|) . T) (((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) ((((-1081 |#1| |#2| |#3|)) |has| |#1| (-336))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-1083) (-51)) . T)) ((($ $) . T)) (((|#1| (-520)) . T)) @@ -1427,11 +1427,11 @@ (|has| |#1| (-37 (-380 (-520)))) (-3700 (|has| |#1| (-336)) (|has| |#1| (-322))) (|has| |#1| (-37 (-380 (-520)))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-1083)) |has| |#1| (-828 (-1083))) (((-997)) . T)) (((|#1|) . T)) (|has| |#1| (-781)) -(((#0=(-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) #0#) |has| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (-283 (-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))))) +(((#0=(-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) #0#) |has| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (-283 (-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))))) (((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) (|has| |#1| (-1012)) (((|#1|) . T)) @@ -1470,7 +1470,7 @@ (((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) (((|#1|) . T)) (((|#1| |#2|) . T)) -(((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) ((#0=(-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) #0#) |has| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (-283 (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))))) +(((|#1| |#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) ((#0=(-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) #0#) |has| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (-283 (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))))) (-3700 (|has| |#2| (-424)) (|has| |#2| (-837))) (-3700 (|has| |#1| (-424)) (|has| |#1| (-837))) (((|#1|) . T) (($) . T)) @@ -1496,7 +1496,7 @@ ((((-380 (-520))) -3700 (|has| |#1| (-37 (-380 (-520)))) (|has| |#1| (-336))) (($) -3700 (|has| |#1| (-336)) (|has| |#1| (-512))) (((-1081 |#1| |#2| |#3|)) |has| |#1| (-336)) ((|#1|) |has| |#1| (-157))) (((|#1|) |has| |#1| (-157)) (((-380 (-520))) -3700 (|has| |#1| (-37 (-380 (-520)))) (|has| |#1| (-336))) (($) -3700 (|has| |#1| (-336)) (|has| |#1| (-512)))) ((($) |has| |#1| (-512)) ((|#1|) |has| |#1| (-157)) (((-380 (-520))) |has| |#1| (-37 (-380 (-520))))) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) ((((-380 |#2|)) . T) (((-380 (-520))) . T) (($) . T)) ((((-611 |#1|)) . T)) (((|#1| |#2| |#3| |#4|) . T)) @@ -1556,7 +1556,7 @@ (((|#1|) . T)) (((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012)))) ((($ $) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((($ $) . T)) ((((-520) (-108)) . T)) ((($) . T)) @@ -1585,7 +1585,7 @@ (((|#1| (-1128 |#1| |#2| |#3|)) . T)) (((|#1| (-706)) . T)) (((|#1|) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-791)) . T)) (|has| |#1| (-1012)) ((((-1066) |#1|) . T)) @@ -1624,7 +1624,7 @@ (|has| |#1| (-512)) (((|#1|) . T)) ((((-791)) . T)) -(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((|#1|) |has| |#1| (-157))) ((($) |has| |#1| (-512)) ((|#1|) |has| |#1| (-157)) (((-380 (-520))) |has| |#1| (-37 (-380 (-520))))) (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) @@ -1642,7 +1642,7 @@ (|has| |#1| (-781)) (((|#1| (-520) (-997)) . T)) (-3700 (|has| |#1| (-828 (-1083))) (|has| |#1| (-969))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1| (-380 (-520)) (-997)) . T)) (((|#1| (-706) (-997)) . T)) (|has| |#1| (-783)) @@ -1661,8 +1661,8 @@ (-3700 (|has| |#2| (-25)) (|has| |#2| (-124)) (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-341)) (|has| |#2| (-728)) (|has| |#2| (-781)) (|has| |#2| (-969)) (|has| |#2| (-1012))) (((|#2|) |has| |#2| (-157))) (((|#1|) |has| |#1| (-157))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) ((((-791)) . T)) (|has| |#3| (-781)) ((((-791)) . T)) @@ -1676,9 +1676,9 @@ (((|#2|) |has| |#2| (-336))) ((($) . T) ((|#1|) . T) (((-380 (-520))) |has| |#1| (-336))) (|has| |#1| (-783)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#2|) . T)) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) |has| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (-283 (-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))))) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) |has| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (-283 (-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))))) (-3700 (|has| |#1| (-424)) (|has| |#1| (-837))) (((|#2|) . T) (((-520)) |has| |#2| (-582 (-520)))) ((((-791)) . T)) @@ -1724,7 +1724,7 @@ (|has| (-380 |#2|) (-209)) (|has| |#1| (-837)) (((|#2|) |has| |#2| (-969))) -(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (|has| |#1| (-336)) (((|#1|) |has| |#1| (-157))) (((|#1| |#1|) . T)) @@ -1771,13 +1771,13 @@ ((((-108)) |has| |#1| (-1012)) (((-791)) -3700 (|has| |#1| (-21)) (|has| |#1| (-25)) (|has| |#1| (-157)) (|has| |#1| (-336)) (|has| |#1| (-445)) (|has| |#1| (-662)) (|has| |#1| (-828 (-1083))) (|has| |#1| (-969)) (|has| |#1| (-1024)) (|has| |#1| (-1012)))) (((|#1|) . T) (($) . T)) (((|#1| |#2|) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))) . T)) ((((-791)) . T)) ((((-520) |#1|) . T)) ((((-635)) . T) (((-380 (-520))) . T) (((-520)) . T)) (((|#1| |#1|) |has| |#1| (-157))) (((|#2|) . T)) -(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) ((((-352)) . T)) ((((-635)) . T)) ((((-380 (-520))) . #0=(|has| |#2| (-336))) (($) . #0#)) @@ -1795,7 +1795,7 @@ (|has| |#1| (-783)) ((((-1083)) |has| |#2| (-828 (-1083)))) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-380 (-520))) . T) (($) . T)) (|has| |#1| (-445)) (|has| |#1| (-341)) @@ -1823,11 +1823,11 @@ (|has| |#1| (-37 (-380 (-520)))) (|has| |#1| (-37 (-380 (-520)))) (|has| |#1| (-783)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) (((|#1| |#2|) . T)) (|has| |#1| (-135)) (|has| |#1| (-133)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)))) ((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012)))) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)))) ((|#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012)))) (((|#2|) . T)) (((|#3|) . T)) ((((-112 |#1|)) . T)) @@ -1845,7 +1845,7 @@ ((((-496)) |has| |#1| (-561 (-496))) (((-820 (-520))) |has| |#1| (-561 (-820 (-520)))) (((-820 (-352))) |has| |#1| (-561 (-820 (-352)))) (((-352)) . #0=(|has| |#1| (-945))) (((-201)) . #0#)) (((|#1|) |has| |#1| (-336))) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((($ $) . T) (((-559 $) $) . T)) (-3700 (|has| |#1| (-336)) (|has| |#1| (-512))) ((($) . T) (((-1150 |#1| |#2| |#3| |#4|)) . T) (((-380 (-520))) . T)) @@ -1903,7 +1903,7 @@ ((((-791)) . T)) (((|#3|) . T)) (((|#1| |#1|) . T) (($ $) -3700 (|has| |#1| (-264)) (|has| |#1| (-336))) ((#0=(-380 (-520)) #0#) |has| |#1| (-336))) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) ((($) . T)) ((((-520) |#1|) . T)) ((((-1083)) |has| (-380 |#2|) (-828 (-1083)))) @@ -1942,7 +1942,7 @@ ((($) -3700 (|has| |#1| (-336)) (|has| |#1| (-322))) (((-380 (-520))) -3700 (|has| |#1| (-336)) (|has| |#1| (-322))) ((|#1|) . T)) ((((-520)) . T)) (|has| |#1| (-37 (-380 (-520)))) -((((-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))) |has| (-2 (|:| -2534 (-1066)) (|:| -3049 (-51))) (-283 (-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))))) +((((-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))) |has| (-2 (|:| -2526 (-1066)) (|:| -3043 (-51))) (-283 (-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))))) (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) (|has| |#1| (-781)) (|has| |#1| (-37 (-380 (-520)))) @@ -1981,10 +1981,10 @@ (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) ((((-496)) |has| |#4| (-561 (-496)))) ((((-791)) . T) (((-586 |#4|)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1|) . T)) (|has| |#1| (-781)) -(((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) (((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) |has| (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|)) (-283 (-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))))) +(((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012))) (((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) |has| (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|)) (-283 (-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))))) (|has| |#1| (-1012)) (|has| |#1| (-336)) (|has| |#1| (-783)) @@ -2024,7 +2024,7 @@ ((((-791)) . T)) ((((-791)) . T)) ((((-496)) |has| |#1| (-561 (-496)))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-1083) |#1|) |has| |#1| (-481 (-1083) |#1|)) ((|#1| |#1|) |has| |#1| (-283 |#1|))) (((|#1|) -3700 (|has| |#1| (-157)) (|has| |#1| (-336)))) ((((-289 |#1|)) . T)) @@ -2051,7 +2051,7 @@ (|has| |#1| (-512)) (((|#2|) . T)) ((((-520)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (-3700 (|has| |#1| (-133)) (|has| |#1| (-135)) (|has| |#1| (-157)) (|has| |#1| (-512)) (|has| |#1| (-969))) @@ -2164,14 +2164,14 @@ (|has| |#2| (-837)) (|has| |#1| (-837)) (((|#2|) |has| |#2| (-157))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-1156 |#1| |#2| |#3|)) |has| |#1| (-336))) ((((-791)) . T)) ((((-791)) . T)) ((((-496)) . T) (((-520)) . T) (((-820 (-520))) . T) (((-352)) . T) (((-201)) . T)) (((|#1| |#2|) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))) . T)) (((|#1|) . T)) ((((-791)) . T)) (((|#1| |#2|) . T)) @@ -2192,7 +2192,7 @@ ((((-380 (-520))) . T) (($) . T)) ((((-791)) . T)) ((((-791)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#2| |#2|) . T) ((|#1| |#1|) . T)) ((((-791)) . T)) ((((-791)) . T)) @@ -2203,7 +2203,7 @@ (((|#1|) . T)) ((((-586 (-132))) . T) (((-1066)) . T)) ((((-791)) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) ((((-1083) |#1|) |has| |#1| (-481 (-1083) |#1|)) ((|#1| |#1|) |has| |#1| (-283 |#1|))) (|has| |#1| (-783)) ((((-791)) . T)) @@ -2257,8 +2257,8 @@ (-3700 (|has| |#1| (-133)) (|has| |#1| (-341))) (-3700 (|has| |#1| (-133)) (|has| |#1| (-341))) (-3700 (|has| |#1| (-133)) (|has| |#1| (-341))) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) -(((#0=(-51)) . T) (((-2 (|:| -2534 (-1083)) (|:| -3049 #0#))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) +(((#0=(-51)) . T) (((-2 (|:| -2526 (-1083)) (|:| -3043 #0#))) . T)) (|has| |#1| (-322)) ((((-520)) . T)) ((((-791)) . T)) @@ -2328,7 +2328,7 @@ (|has| |#2| (-945)) ((($) . T)) (|has| |#1| (-837)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((($) . T)) (((|#2|) . T)) (((|#1|) . T)) @@ -2345,12 +2345,12 @@ ((((-380 |#2|) |#3|) . T)) ((($) . T) (((-380 (-520))) . T)) ((((-706) |#1|) . T)) -(((|#2| (-216 (-3479 |#1|) (-706))) . T)) +(((|#2| (-216 (-3474 |#1|) (-706))) . T)) (((|#1| (-492 |#3|)) . T)) ((((-380 (-520))) . T)) (-3700 (|has| |#1| (-424)) (|has| |#1| (-512)) (|has| |#1| (-837))) ((((-791)) . T)) -(((#0=(-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) #0#) |has| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (-283 (-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))))) +(((#0=(-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) #0#) |has| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (-283 (-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))))) (|has| |#1| (-837)) (|has| |#2| (-336)) (-3700 (|has| |#2| (-124)) (|has| |#2| (-157)) (|has| |#2| (-336)) (|has| |#2| (-728)) (|has| |#2| (-781)) (|has| |#2| (-969))) @@ -2384,7 +2384,7 @@ (((|#1|) . T)) (((|#2|) |has| |#1| (-336))) (((|#2|) |has| |#1| (-336))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1|) . T)) (((|#1|) |has| |#1| (-157))) (((|#1|) . T)) @@ -2420,9 +2420,9 @@ (((|#2|) . T)) (((|#2|) . T)) (-3700 (|has| |#2| (-157)) (|has| |#2| (-781)) (|has| |#2| (-969))) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (|has| |#1| (-37 (-380 (-520)))) (((|#1| |#2|) . T)) (|has| |#1| (-37 (-380 (-520)))) @@ -2535,7 +2535,7 @@ (|has| |#1| (-209)) (((|#1| (-492 (-1002 (-1083)))) . T)) (|has| |#2| (-336)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 (-51)))) . T)) (((|#1|) . T)) (((|#1|) -12 (|has| |#1| (-283 |#1|)) (|has| |#1| (-1012)))) ((((-791)) . T)) @@ -2584,7 +2584,7 @@ (|has| |#1| (-837)) ((($) -3700 (|has| |#1| (-157)) (|has| |#1| (-424)) (|has| |#1| (-512)) (|has| |#1| (-837))) ((|#1|) . T) (((-380 (-520))) |has| |#1| (-37 (-380 (-520))))) (((|#1|) . T)) -((((-2 (|:| -2534 (-1066)) (|:| -3049 |#1|))) . T)) +((((-2 (|:| -2526 (-1066)) (|:| -3043 |#1|))) . T)) (((|#1|) . T)) (((|#1|) . T)) (((|#1| |#1|) . T)) @@ -2697,7 +2697,7 @@ (((|#1|) . T)) ((((-791)) . T)) (|has| |#2| (-837)) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) ((((-496)) |has| |#2| (-561 (-496))) (((-820 (-352))) |has| |#2| (-561 (-820 (-352)))) (((-820 (-520))) |has| |#2| (-561 (-820 (-520))))) ((((-791)) . T)) ((((-791)) . T)) @@ -2730,7 +2730,7 @@ ((((-380 |#2|) |#3|) . T)) (((|#1|) . T)) (|has| |#1| (-1012)) -(((|#2| (-453 (-3479 |#1|) (-706))) . T)) +(((|#2| (-453 (-3474 |#1|) (-706))) . T)) ((((-520) |#1|) . T)) (((|#2| |#2|) . T)) (((|#1| (-492 (-1083))) . T)) @@ -2785,7 +2785,7 @@ (|has| |#1| (-209)) (((|#1| (-492 |#3|)) . T)) (|has| |#1| (-341)) -(((|#2| (-216 (-3479 |#1|) (-706))) . T)) +(((|#2| (-216 (-3474 |#1|) (-706))) . T)) (|has| |#1| (-341)) (|has| |#1| (-341)) (((|#1|) . T) (($) . T)) @@ -2847,7 +2847,7 @@ ((((-791)) -3700 (|has| |#1| (-560 (-791))) (|has| |#1| (-783)) (|has| |#1| (-1012)))) ((((-496)) |has| |#1| (-561 (-496)))) ((((-791)) . T)) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) |has| (-2 (|:| -2534 (-1083)) (|:| -3049 (-51))) (-283 (-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))))) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) |has| (-2 (|:| -2526 (-1083)) (|:| -3043 (-51))) (-283 (-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))))) (-3700 (|has| |#2| (-424)) (|has| |#2| (-512)) (|has| |#2| (-837))) ((((-520) |#1|) . T)) ((((-520) |#1|) . T)) @@ -3018,7 +3018,7 @@ (-3700 (-12 (|has| |#1| (-21)) (|has| |#2| (-21))) (-12 (|has| |#1| (-23)) (|has| |#2| (-23))) (-12 (|has| |#1| (-124)) (|has| |#2| (-124))) (-12 (|has| |#1| (-728)) (|has| |#2| (-728)))) ((((-520)) . T)) ((((-520)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (((|#1| |#2|) . T)) (((|#1|) . T)) (-3700 (|has| |#2| (-157)) (|has| |#2| (-781)) (|has| |#2| (-969))) @@ -3108,11 +3108,11 @@ ((((-1081 |#1| |#2| |#3|)) |has| |#1| (-336))) ((((-1081 |#1| |#2| |#3|)) |has| |#1| (-336))) ((((-1048 |#1| |#2|)) . T)) -(((|#2|) . T) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +(((|#2|) . T) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) ((($) . T)) (|has| |#1| (-945)) -(((|#2|) . T) (((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +(((|#2|) . T) (((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) ((((-791)) . T)) ((((-496)) |has| |#2| (-561 (-496))) (((-820 (-520))) |has| |#2| (-561 (-820 (-520)))) (((-820 (-352))) |has| |#2| (-561 (-820 (-352)))) (((-352)) . #0=(|has| |#2| (-945))) (((-201)) . #0#)) ((((-1083) (-51)) . T)) @@ -3157,7 +3157,7 @@ ((((-791)) . T)) ((((-791)) . T)) (((|#1| (-492 |#2|)) . T)) -((((-2 (|:| -2534 (-1083)) (|:| -3049 (-51)))) . T)) +((((-2 (|:| -2526 (-1083)) (|:| -3043 (-51)))) . T)) (((|#1| (-520)) . T)) (((|#1| (-380 (-520))) . T)) (((|#1| (-706)) . T)) @@ -3174,7 +3174,7 @@ (((|#1| |#2|) . T)) ((((-1066) |#1|) . T)) ((((-380 |#2|)) . T)) -((((-2 (|:| -2534 |#1|) (|:| -3049 |#2|))) . T)) +((((-2 (|:| -2526 |#1|) (|:| -3043 |#2|))) . T)) (|has| |#1| (-512)) (|has| |#1| (-512)) ((($) . T) ((|#2|) . T)) @@ -3198,7 +3198,7 @@ (((|#1|) . T)) (((|#1| |#2| |#3| |#4|) . T)) (((#0=(-1048 |#1| |#2|) #0#) |has| (-1048 |#1| |#2|) (-283 (-1048 |#1| |#2|)))) -(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) #0#) |has| (-2 (|:| -2534 |#1|) (|:| -3049 |#2|)) (-283 (-2 (|:| -2534 |#1|) (|:| -3049 |#2|))))) +(((|#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((#0=(-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) #0#) |has| (-2 (|:| -2526 |#1|) (|:| -3043 |#2|)) (-283 (-2 (|:| -2526 |#1|) (|:| -3043 |#2|))))) (((#0=(-112 |#1|)) |has| #0# (-283 #0#))) (-3700 (|has| |#1| (-783)) (|has| |#1| (-1012))) ((($ $) . T)) diff --git a/src/share/algebra/compress.daase b/src/share/algebra/compress.daase index d8b612b4..b3c47fb6 100644 --- a/src/share/algebra/compress.daase +++ b/src/share/algebra/compress.daase @@ -1,5 +1,5 @@ -(30 . 3409757244) +(30 . 3409760516) (4232 |Enumeration| |Mapping| |Record| |Union| |ofCategory| |isDomain| ATTRIBUTE |package| |domain| |category| CATEGORY |nobranch| AND |Join| |ofType| SIGNATURE "failed" "algebra" |OneDimensionalArrayAggregate&| @@ -460,642 +460,645 @@ |XPolynomialRing| |XRecursivePolynomial| |ParadoxicalCombinatorsForStreams| |ZeroDimensionalSolvePackage| |IntegerLinearDependence| |IntegerMod| |Enumeration| |Mapping| - |Record| |Union| |Category| |sts2stst| |mainVariable| - |characteristicSerie| |generic?| |numFunEvals3D| |delta| |magnitude| - |abelianGroup| |dmpToP| |splitLinear| |cRationalPower| |dihedral| - |primintegrate| |expintegrate| |fullDisplay| |OMputEndObject| - |changeWeightLevel| |integrate| |symbol?| |aQuadratic| |traverse| - |shiftRoots| |createGenericMatrix| |singularitiesOf| |cCsc| |OMgetApp| - |dark| |high| |constantOpIfCan| |messagePrint| |dot| - |numberOfDivisors| |e02akf| |newReduc| |orbit| |nthCoef| - |generalPosition| |permutations| |declare| |reduced?| |myDegree| - |listBranches| |monomial?| |numberOfCycles| |complexNumeric| - |algebraicOf| |primes| |rename!| |OMgetFloat| |mightHaveRoots| - |yellow| |integralCoordinates| |normalizedAssociate| |depth| - |quasiMonic?| |possiblyInfinite?| |log| |droot| |stronglyReduce| - |push| |extractIfCan| |impliesOperands| |factorFraction| - |leftTraceMatrix| |stoseInternalLastSubResultant| |stirling1| - |seriesSolve| |internalIntegrate0| |linears| |kernels| |e02bef| - |quasiRegular| |palginfieldint| |curve| |comment| |knownInfBasis| - |getGoodPrime| |lieAlgebra?| |d02gbf| |nextNormalPrimitivePoly| - |rightNorm| |leaves| |singularAtInfinity?| |nextPrimitiveNormalPoly| - |univariate| |biRank| |limitPlus| |kroneckerDelta| |realSolve| - |satisfy?| |useSingleFactorBound| |rootBound| |lambda| |csch2sinh| - |innerSolve1| |chiSquare| |objectOf| |combineFeatureCompatibility| - |showSummary| |diagonal?| |retractIfCan| |outputFloating| |normDeriv2| - |elementary| |matrixDimensions| |patternMatchTimes| |gcdcofactprim| - |setVariableOrder| |tanQ| |numberOfOperations| |retractable?| |d01alf| - |repeating| |laurentRep| |integers| |cup| |overlap| |cyclicEqual?| - |vedf2vef| |groebnerFactorize| |showAttributes| |unitsColorDefault| - |lazyPremWithDefault| |cycleLength| |inspect| |leadingIndex| |module| - |iitan| |lepol| |numberOfNormalPoly| |transcendent?| |yCoord| - |rotatez| |integralBasisAtInfinity| - |removeRoughlyRedundantFactorsInPol| |acothIfCan| |subResultantChain| - |reducedQPowers| |lexGroebner| |simpleBounds?| |exponents| - |setImagSteps| |style| |csubst| |extension| |explimitedint| - |interpolate| |basis| |legendre| BY |primitive?| - |semiDegreeSubResultantEuclidean| |fortranReal| |e02ahf| Y - |conditionsForIdempotents| |fixedPoint| |top| |pascalTriangle| - |makeTerm| |musserTrials| |OMopenFile| |extractPoint| |cyclic?| |rule| - |schwerpunkt| |f04asf| |continue| |matrix| |void| |imagi| |makeprod| - |expint| |cSinh| |useSingleFactorBound?| |regime| |bfKeys| - |selectFiniteRoutines| |iisqrt2| |row| |headRemainder| - |fractionFreeGauss!| |pattern| |rootsOf| |bivariatePolynomials| - |formula| |contains?| |Ci| |generator| |OMencodingUnknown| - |selectsecond| |minset| |totolex| |axesColorDefault| - |symmetricProduct| |solveLinearlyOverQ| |map| |constantKernel| - |minRowIndex| |newLine| |e04mbf| |positive?| |cTan| - |tryFunctionalDecomposition| |iicot| |submod| |prinshINFO| - |solveInField| |supersub| |addiag| |space| |integralLastSubResultant| - |irreducibleRepresentation| |octon| |build| |s18dcf| |acosIfCan| - |rightGcd| |intensity| |nrows| |generalLambert| |csc2sin| |c05adf| - |isOp| |setAttributeButtonStep| ~= |groebgen| |normal01| |op| - |maxrank| |invertibleElseSplit?| |ncols| |remove| - |zeroSetSplitIntoTriangularSystems| |outputFixed| - |incrementKthElement| |parabolicCylindrical| |rowEchelonLocal| - |linearAssociatedOrder| |simplify| |fortranDoubleComplex| |convert| - |UP2ifCan| |true| |quatern| |chainSubResultants| |selectPDERoutines| - |ParCondList| |skewSFunction| |sample| |someBasis| |OMcloseConn| - |seriesToOutputForm| |last| |empty?| |sin?| |doubleDisc| |assoc| - |associatedSystem| |rationalPoint?| |sn| |coerceListOfPairs| - |squareFreePolynomial| |lo| |freeOf?| |f02awf| |setleaves!| |match?| - |delete!| |mindeg| |factorList| |inRadical?| |leftFactorIfCan| |incr| - |oddintegers| |nullary?| |squareFreePart| |fortran| |hexDigit| - |numberOfFractionalTerms| |sinhIfCan| |basisOfCommutingElements| - |calcRanges| |hi| |internalSubPolSet?| |getCurve| |approximants| - |removeSuperfluousQuasiComponents| |An| |gradient| |autoReduced?| - |sparsityIF| |leftUnit| |monic?| |completeSmith| |graphs| - |solveRetract| |tanNa| |outputList| |retract| |OMputObject| - |algebraicCoefficients?| |typeList| |normalizeAtInfinity| |sPol| - |d02ejf| |symbol| |doubleFloatFormat| |baseRDEsys| |makeCos| - |mapExponents| |inGroundField?| |radPoly| |nextSubsetGray| |ode| - |baseRDE| |minordet| |cyclicSubmodule| ~ |GospersMethod| - |tryFunctionalDecomposition?| |OMopenString| |linGenPos| |null| - |subMatrix| |string| |asecIfCan| |integer| |minus!| |typeLists| - |integer?| |heapSort| |partialQuotients| |negative?| |iiexp| |c05pbf| - |factors| |groebner?| |adaptive?| |pseudoRemainder| |LazardQuotient| - |nullary| |Beta| |bfEntry| |bandedHessian| |Lazard2| |cSin| - |degreeSubResultantEuclidean| |viewPosDefault| |iisinh| |f02aaf| - |listexp| = |critB| |polyRicDE| |monicDecomposeIfCan| |makeMulti| - |s21bcf| |exteriorDifferential| |useNagFunctions| |rombergo| |segment| - |leftOne| |minimalPolynomial| |OMgetInteger| |divisor| |OMReadError?| - |open| |branchPoint?| |entry?| |FormatRoman| |clearCache| < - |basisOfRightNucloid| |reduceBasisAtInfinity| |stopTableInvSet!| - |setRow!| |minrank| |level| |maxPoints| |consnewpol| |mathieu22| > - |cylindrical| |processTemplate| |rightRemainder| |diophantineSystem| - |interpret| |figureUnits| |chebyshevT| |midpoints| <= |cAcosh| - |listRepresentation| |iiacsch| |extendedSubResultantGcd| |leader| - |elements| |increasePrecision| |f04mbf| >= |expr| |forLoop| - |integral?| |perfectSqrt| |generate| |list| |truncate| |script| - |deepestTail| |redpps| |semiResultantReduitEuclidean| |complexExpand| - |output| |s19abf| |solve| |setDifference| |OMwrite| |pop!| |compBound| - |fixPredicate| |colorFunction| |incrementBy| |setIntersection| - |totalDegree| |argumentList!| |nthFactor| |euclideanSize| |f04atf| - |checkPrecision| |se2rfi| + |pointColor| |showAllElements| |expand| - |setUnion| |shade| |leftRegularRepresentation| |equation| |s13acf| - |tValues| |variable| - |subscriptedVariables| |normFactors| - |filterWhile| |apply| |powern| |createPrimitiveElement| |operator| - |mapmult| / |expenseOfEvaluation| |cExp| |filterUntil| |divideIfCan!| - |symmetricRemainder| |rightScalarTimes!| |deleteRoutine!| - |rightRegularRepresentation| |trapezoidalo| |select| |size| - |radicalRoots| |bindings| |tex| |sechIfCan| |wholePart| - |primitivePart!| |collectUnder| |reducedDiscriminant| |ksec| - |outputGeneral| |t| |qroot| |mesh| |permutation| |companionBlocks| - |pushup| |d02kef| |create3Space| |corrPoly| |dominantTerm| |iicsc| - |rootNormalize| |patternMatch| |close| |separate| |invertible?| - |zeroDimPrimary?| |OMgetEndBind| |null?| |lflimitedint| |resize| - |sqfree| |rightAlternative?| |linkToFortran| |insert| - |LyndonWordsList| |shift| |outputMeasure| |realRoots| |diagonals| - |viewThetaDefault| |condition| |cosh2sech| |expressIdealMember| - |defineProperty| |palgLODE| |recur| |seed| |setProperty!| |principal?| - SEGMENT |makeRecord| |OMputEndAtp| |makeSeries| |exprToXXP| |display| - |innerint| |c06fqf| |integralAtInfinity?| |palglimint0| |reify| - |setProperties!| |dmpToHdmp| |measure2Result| |getRef| |qinterval| - |s17adf| |coordinate| |adaptive3D?| |iteratedInitials| |scopes| - |normalDeriv| |setvalue!| |digamma| |makeFR| |equiv| - |functionIsFracPolynomial?| |viewZoomDefault| - |characteristicPolynomial| |factorSFBRlcUnit| |getProperty| |s13aaf| - |chebyshevU| |removeCoshSq| |totalLex| |closedCurve| |numberOfHues| - |log10| |perfectSquare?| |pdct| |accuracyIF| |getProperties| |node?| - |var2StepsDefault| |xn| |copyInto!| |repeatUntilLoop| |triangular?| - |getBadValues| |purelyAlgebraic?| |categoryFrame| |plot| |roman| |rur| - |stFunc2| |input| |orbits| |innerEigenvectors| |internalIntegrate| - |intersect| |maxdeg| |lyndon?| |ricDsolve| |rectangularMatrix| - |stiffnessAndStabilityOfODEIF| |library| |OMunhandledSymbol| - |hasPredicate?| |asinIfCan| |decrease| |factorOfDegree| - |numberOfVariables| |upperCase| |createNormalPrimitivePoly| - |constantIfCan| |result| |removeZeroes| |csch| |setprevious!| - |euclideanNormalForm| |secIfCan| |setFieldInfo| |sech2cosh| - |halfExtendedResultant1| |toseInvertible?| |asinh| - |oneDimensionalArray| |coefChoose| |toseInvertibleSet| |limit| - |sumSquares| |extractClosed| |commonDenominator| |acosh| |saturate| - |palgextint0| |reverse!| |mapExpon| |patternVariable| - |regularRepresentation| |stFunc1| |atanh| |e01bff| |OMParseError?| - |subset?| |unrankImproperPartitions0| |toseLastSubResultant| |set| - |quasiAlgebraicSet| |simplifyPower| |internalAugment| |acoth| |c06frf| - |f02adf| |nil?| |addPoint| |binarySearchTree| |getCode| |charthRoot| - |bubbleSort!| |asech| |rootPoly| |compile| |e01daf| |legendreP| |id| - |mvar| |deleteProperty!| |coHeight| |deriv| |primitivePart| |e02ddf| - |zCoord| |bat| |rightRankPolynomial| |fractRagits| |showClipRegion| - |quadratic?| |colorDef| |multiple| |btwFact| |zeroDimensional?| - |f01rcf| |ptree| |goodnessOfFit| |measure| |f07fdf| |table| |fmecg| - |inverseIntegralMatrix| |changeNameToObjf| - |primPartElseUnitCanonical!| |applyQuote| |limitedint| |critBonD| - |constantCoefficientRicDE| |monicRightDivide| |viewSizeDefault| - |changeBase| |new| |paren| |resultantReduit| |movedPoints| - |lazyIntegrate| |dequeue| |mix| |cAcot| |linSolve| |definingEquations| - |viewDeltaXDefault| |eq?| |leftPower| |iiGamma| |mapUnivariate| - |minIndex| |invertIfCan| |closed?| |asimpson| |rightQuotient| - |internalLastSubResultant| |initials| |call| - |selectIntegrationRoutines| |addmod| |e02dff| |escape| |univcase| - |ruleset| |constantOperator| |pointPlot| |nthExpon| |roughBasicSet| - |numberOfComposites| |sh| |iisin| |supRittWu?| |show| - |internalZeroSetSplit| |interpretString| |leftUnits| |outputForm| - |setnext!| |stopMusserTrials| |unparse| |hcrf| |presuper| - |triangSolve| |topFortranOutputStack| |setProperties| |hspace| - |principalIdeal| |expenseOfEvaluationIF| |clipPointsDefault| - |eigenvector| |reverse| |generateIrredPoly| |antiAssociative?| |trace| - |f01bsf| |removeSuperfluousCases| |c06ebf| |extractProperty| - |suchThat| |overlabel| |relationsIdeal| |d03eef| |OMputEndBVar| - |lyndon| |currentSubProgram| |s14abf| |getDatabase| |iitanh| |maxrow| - |monicDivide| |tower| |pdf2df| |f2st| |rename| |palgextint| |s15adf| - |cscIfCan| |identitySquareMatrix| |center| - |removeRoughlyRedundantFactorsInContents| |dequeue!| |printStatement| - |coleman| |balancedBinaryTree| |nthExponent| |initial| |unmakeSUP| - |contract| |cAcoth| |diagonalMatrix| |printInfo| |pointColorDefault| - |tubeRadiusDefault| |hexDigit?| |mainPrimitivePart| |OMgetSymbol| - |left| |nextPrimitivePoly| |factor| |surface| |minPoints| |lfunc| - |printingInfo?| |empty| |e01bgf| |f04qaf| |right| |fintegrate| |sqrt| - |bat1| |semicolonSeparate| |ode1| |integralBasis| |property| - |zeroMatrix| |coerceImages| |clipWithRanges| |setPrologue!| - |fortranLinkerArgs| |real| |setProperty| |primextintfrac| |schema| - |leftCharacteristicPolynomial| |poisson| |complexNumericIfCan| - |contours| |complexZeros| |iilog| |relativeApprox| |imag| - |getOperands| |createNormalElement| |d02gaf| |symbolTable| - |removeDuplicates!| |rangeIsFinite| |decimal| |represents| - |algebraic?| |arity| |exprHasLogarithmicWeights| |directProduct| - |remainder| |distance| |repeating?| |weighted| |units| - |selectPolynomials| |Ei| |idealSimplify| |symmetricSquare| |lifting| - |realZeros| |routines| |head| |setEpilogue!| |isMult| |nonQsign| - |pushFortranOutputStack| |leftAlternative?| |iomode| - |squareFreeLexTriangular| |f04mcf| |aCubic| |setButtonValue| |iicsch| - |expIfCan| |destruct| |subscript| |integerBound| GF2FG - |popFortranOutputStack| |e02bbf| |linearPart| |back| - |sizePascalTriangle| |localIntegralBasis| |basisOfLeftNucloid| - |optimize| |halfExtendedSubResultantGcd2| |clipBoolean| |prologue| - |integerIfCan| |univariate?| |outputAsFortran| - |generalInfiniteProduct| |ideal| |quoByVar| |c06gcf| |tanhIfCan| - |rootRadius| |optpair| |numericalIntegration| |usingTable?| - |brillhartIrreducible?| |frobenius| |janko2| |normalizeIfCan| |c06gsf| - |OMserve| |readLine!| |dimensionsOf| |mainVariables| |sturmSequence| - |resultantReduitEuclidean| |code| |hue| |dn| |summation| |s17akf| - |firstSubsetGray| |real?| |nextIrreduciblePoly| |fracPart| |Lazard| - |middle| |discriminant| |reduction| |reducedSystem| |nil| - |intcompBasis| |initiallyReduce| |print| |inverseColeman| |d01fcf| - |bivariateSLPEBR| |delay| |printTypes| |optional?| |rubiksGroup| - |ratDsolve| |hconcat| |infix| |KrullNumber| - |rightCharacteristicPolynomial| |genericRightTraceForm| |exists?| - |discriminantEuclidean| |optAttributes| |whileLoop| |graphImage| - |monomRDE| |s21bbf| |orOperands| - |generalizedContinuumHypothesisAssumed| |f01qcf| |super| |superscript| - |chineseRemainder| |second| |cschIfCan| |df2fi| |att2Result| - |explogs2trigs| |mathieu11| |tubePoints| |scan| |tanintegrate| - |OMgetEndError| |norm| |third| |function| |f07adf| |trace2PowMod| - |swapColumns!| |d01amf| |selectODEIVPRoutines| |sdf2lst| |nthFlag| - |cAsec| |cycleSplit!| |solveid| |one?| |maxint| |dimension| |unexpand| - |applyRules| |getOperator| |endOfFile?| |algebraicVariables| - |mainSquareFreePart| |removeZero| |triangulate| |c06gqf| |child?| - |dictionary| |rightMinimalPolynomial| |any?| |unit?| |physicalLength| - |ipow| |cycleEntry| |setScreenResolution| |subCase?| |finiteBasis| - |complexIntegrate| |outputArgs| |rarrow| |possiblyNewVariety?| - |prinpolINFO| |blankSeparate| |romberg| |is?| |problemPoints| - |powerAssociative?| |jacobi| |torsion?| |front| |vector| - |leastMonomial| F2FG |minColIndex| |algebraicSort| |taylorQuoByVar| - |s20adf| |halfExtendedResultant2| |xCoord| |tan2cot| |differentiate| - |updateStatus!| |radicalEigenvalues| |branchIfCan| |cyclicParents| - |conditionP| |semiResultantEuclideannaif| |rotate!| |rightUnits| - |iFTable| |tubeRadius| |stopTable!| |rightTraceMatrix| |f04maf| - |extendedint| |precision| |linear| |case| |lowerCase| |crest| - |coshIfCan| |polynomialZeros| |roughSubIdeal?| |lagrange| - |permutationRepresentation| |initiallyReduced?| |e02adf| |f01mcf| - |column| |dimensions| |coerce| |ldf2vmf| |iidprod| |cPower| - |groebSolve| |element?| |leftDiscriminant| |assign| |f01qdf| - |polynomial| |partialDenominators| |construct| |multiEuclidean| - |drawComplex| |choosemon| |wronskianMatrix| |isAbsolutelyIrreducible?| - |nand| |exprToUPS| |indiceSubResultantEuclidean| |realEigenvalues| D - |OMsupportsSymbol?| |basisOfMiddleNucleus| |unary?| |fortranInteger| - |curryLeft| |cardinality| |finite?| |setPredicates| |rowEchLocal| - |lcm| |swap!| |recolor| |lazyPrem| |direction| |lineColorDefault| - |exquo| |hasoln| |rightZero| |clearTheSymbolTable| |minimumDegree| - |groebnerIdeal| |laurentIfCan| |getStream| |leftRemainder| |bright| - |nlde| |leastAffineMultiple| |div| |certainlySubVariety?| - |makeViewport3D| |iisech| |OMUnknownSymbol?| |bezoutResultant| |mesh?| - |OMconnOutDevice| |zeroSetSplit| |shanksDiscLogAlgorithm| |quo| - |withPredicates| |crushedSet| |HenselLift| |gcd| |rightPower| - |quadraticNorm| |primaryDecomp| |setStatus| |lighting| |OMgetType| - |prepareSubResAlgo| |subPolSet?| |hasSolution?| |union| |imagj| - |sumOfDivisors| |transcendentalDecompose| |makeFloatFunction| |inR?| - |rem| |pointData| |multiEuclideanTree| |setAdaptive3D| |FormatArabic| - |false| |createNormalPoly| |particularSolution| |normalForm| - |monicModulo| |countRealRootsMultiple| |eval| |alphanumeric| - |variationOfParameters| |light| |sinh2csch| |extendedIntegrate| - |first| |upperCase!| |showTypeInOutput| |intChoose| |traceMatrix| - |overbar| |thetaCoord| |OMputBind| |leftZero| |moreAlgebraic?| - |ptFunc| |rest| |convergents| |commutative?| |nodes| |completeHensel| - |padecf| |prolateSpheroidal| |createIrreduciblePoly| |lSpaceBasis| - |epilogue| |substitute| |OMsupportsCD?| |box| - |basisOfRightAnnihilator| |arrayStack| |/\\| |findBinding| - |makeGraphImage| |anticoord| |any| |double?| |split| |associative?| - |LazardQuotient2| |countable?| |removeDuplicates| - |semiLastSubResultantEuclidean| |pomopo!| |tanh2coth| - |stoseInvertible?sqfreg| |stoseInvertible?reg| |rationalApproximation| - |critMTonD1| |distribute| |testDim| |reopen!| |besselJ| |LiePoly| - |lazyEvaluate| |coord| |showRegion| |iprint| |asinhIfCan| - |OMputEndBind| |linearlyDependentOverZ?| |intPatternMatch| - |OMgetString| |getMultiplicationTable| |s18aef| |s18def| |OMlistCDs| - |cCosh| |copy!| |OMputInteger| |getMatch| |Frobenius| |outputSpacing| - |safetyMargin| |coordinates| |stronglyReduced?| |graphStates| - |basisOfCentroid| |c06gbf| |fTable| |digits| |replaceKthElement| - |setelt| |subResultantGcdEuclidean| |exprHasAlgebraicWeight| - |startTable!| |genericLeftTrace| |s17aff| |mat| |binaryFunction| - |OMgetEndObject| |numeric| |indiceSubResultant| |order| |setStatus!| - |pack!| |f02agf| |variable?| |setCondition!| |radical| |plus| - |subQuasiComponent?| |not| |duplicates?| |airyBi| |copy| |viewpoint| - |complexRoots| |palgLODE0| |geometric| |uniform| - |useEisensteinCriterion?| |trailingCoefficient| - |quasiMonicPolynomials| |critpOrder| |enqueue!| |weight| |fixedPoints| - |properties| |antisymmetricTensors| |reciprocalPolynomial| - |showTheSymbolTable| |rowEch| |d01anf| |sincos| |checkForZero| |terms| - ^= |wholeRagits| |iiasec| RF2UTS |palgintegrate| - |semiResultantEuclidean1| |mathieu24| |changeThreshhold| - |approxNthRoot| |logGamma| |swap| |createZechTable| |autoCoerce| - |associatorDependence| |leftMinimalPolynomial| |logIfCan| - |determinant| |max| |hasHi| |separateDegrees| |OMsend| |f02axf| - |cAcsc| |appendPoint| |maximumExponent| |OMread| |returnType!| |say| - |solid| |extendedEuclidean| |fortranLiteral| |multiplyCoefficients| - |sayLength| |sizeLess?| |expintfldpoly| |firstDenom| |translate| - |getMultiplicationMatrix| |squareFree| |setTopPredicate| |entries| - |unaryFunction| |s18aff| |elem?| |rootOf| |genericRightNorm| |mapdiv| - |removeRedundantFactors| |symmetric?| |nary?| |completeHermite| - |trivialIdeal?| |viewWriteDefault| |times| |nextsousResultant2| - |character?| |inconsistent?| |noncommutativeJordanAlgebra?| |aLinear| - |exponent| |LagrangeInterpolation| |cycles| |computeBasis| - |hyperelliptic| |f02ajf| |solveLinearPolynomialEquation| - |denominators| |getSyntaxFormsFromFile| |showIntensityFunctions| - |rk4qc| |viewWriteAvailable| |integralMatrix| |cCot| - |numberOfImproperPartitions| |OMgetVariable| |pointSizeDefault| - |insertRoot!| |isList| |orthonormalBasis| |mapMatrixIfCan| |replace| - |length| |monom| |reducedForm| |e04gcf| - |semiIndiceSubResultantEuclidean| |queue| |cosSinInfo| |invertibleSet| - |tanSum| |scripts| |members| |jacobian| |getExplanations| |key| - |twoFactor| |pseudoDivide| |morphism| |normalizedDivide| |flexible?| - |lex| |options| |insertBottom!| |radicalSolve| |zeroOf| |common| - |fixedDivisor| |commutativeEquality| |OMputVariable| |elt| - |lastSubResultant| UP2UTS |setRealSteps| |low| |OMgetAttr| |wrregime| - |computePowers| |cot2trig| |rotatex| |filename| |sylvesterSequence| - |getlo| |decreasePrecision| |drawComplexVectorField| |drawToScale| - |iisqrt3| |OMgetEndBVar| |domainOf| |equality| |squareFreeFactors| - |createThreeSpace| |permanent| |findCycle| |not?| |scalarMatrix| - |headReduced?| |e04ycf| |f02fjf| |pair?| |divideIfCan| |leftRecip| - |quasiRegular?| |stoseInvertible?| |parse| |infLex?| |edf2df| - |cyclotomic| |localAbs| |interReduce| |rightLcm| |linearPolynomials| - |cond| |createLowComplexityTable| |setEmpty!| |explicitlyEmpty?| - |smith| |polyred| |tanh2trigh| |sort!| |nthFractionalTerm| |cn| - |uncouplingMatrices| |doubleResultant| |simpsono| |probablyZeroDim?| - |doublyTransitive?| |wreath| |roughEqualIdeals?| |pquo| |setelt!| - |d01akf| |padicFraction| |cosIfCan| |perfectNthPower?| - |normInvertible?| |eigenMatrix| |mergeFactors| |shallowCopy| |ignore?| - |iiasinh| |lexTriangular| |dim| |univariatePolynomial| |ramified?| - |shiftRight| |multiple?| |initializeGroupForWordProblem| |setClosed| - |unit| |selectOptimizationRoutines| |var1Steps| |sub| |exptMod| - |coefficients| |points| |e02gaf| |ListOfTerms| |makeSketch| - |userOrdered?| |rootKerSimp| |integralRepresents| |rootProduct| - |createMultiplicationTable| |hex| |sup| |pr2dmp| |printInfo!| - |highCommonTerms| |charpol| |infieldIntegrate| |width| |airyAi| - |rightFactorIfCan| |conical| |powerSum| |c06ekf| |factorByRecursion| - |polyPart| |OMgetBVar| |e02bcf| |chiSquare1| |less?| |round| - |viewDeltaYDefault| |range| |makeVariable| |rotate| |factorSquareFree| - |credPol| |minPol| |edf2efi| |beauzamyBound| |enterPointData| - |hessian| |OMlistSymbols| |leviCivitaSymbol| |s17ahf| |bernoulli| - |pushNewContour| |ldf2lst| |ceiling| |constant| |derivative| - |expandPower| |OMputEndError| |OMgetObject| |boundOfCauchy| - |goodPoint| |selectSumOfSquaresRoutines| |lazyPquo| |psolve| - |subresultantVector| |tanIfCan| |gramschmidt| |d02raf| |minPoints3D| - |rootSplit| |pushucoef| |resultantnaif| |euclideanGroebner| - |diagonalProduct| |imaginary| |palgint0| |optional| |partialFraction| - |rewriteIdealWithQuasiMonicGenerators| |s17ajf| |subResultantsChain| - |zeroDim?| |monomials| |erf| |cAtanh| |LyndonCoordinates| - |countRealRoots| |lllp| |rewriteSetByReducingWithParticularGenerators| - |SFunction| |gcdPolynomial| |diag| |tubePointsDefault| |minGbasis| - |index| |restorePrecision| |setlast!| |f04jgf| |rCoord| |f2df| - |compdegd| |doubleRank| |LowTriBddDenomInv| |graeffe| - |leadingExponent| |zag| |critMonD1| |e02aef| |radicalOfLeftTraceForm| - |equivOperands| |gethi| |gcdcofact| |dilog| |point| - |computeCycleEntry| |select!| |scripted?| |mapBivariate| - |evaluateInverse| |exponentialOrder| |radicalEigenvectors| - |horizConcat| |unvectorise| |copies| |sin| |search| |c06eaf| |pair| - |scanOneDimSubspaces| |cross| |showTheRoutinesTable| |stop| - |fortranComplex| |imagE| |paraboloidal| |or?| |cos| |splitSquarefree| - |create| |prime| |OMputBVar| |UpTriBddDenomInv| |\\/| - |startPolynomial| |sqfrFactor| |prefixRagits| |argscript| |tan| - |series| |factorials| |polarCoordinates| |rotatey| - |SturmHabichtMultiple| |drawCurves| |critT| |int| |insertionSort!| - |unitVector| |cot| |block| |every?| |mainCoefficients| |f04faf| - |content| |leftMult| |e01saf| |explicitEntries?| |radicalSimplify| - |sec| |printCode| |SturmHabicht| |taylorRep| |startTableGcd!| - |OMencodingBinary| |algDsolve| |semiSubResultantGcdEuclidean1| - |ratPoly| |multinomial| |csc| |numer| |getZechTable| |fractionPart| - |updatF| |s19aaf| |binaryTournament| |interval| |bombieriNorm| - |isPlus| |min| |asin| |denom| |lfintegrate| |list?| |factorset| - |setValue!| |setMaxPoints3D| |monicRightFactorIfCan| |bitLength| - |transpose| |acos| |alternative?| |setFormula!| - |coercePreimagesImages| |pole?| |push!| |status| - |removeRedundantFactorsInContents| |shiftLeft| |fortranCarriageReturn| - |rational?| |atan| |gbasis| |pi| |message| |debug3D| - |univariatePolynomials| |showScalarValues| |elliptic| |computeInt| - |getOrder| |leftRank| |normalElement| |acot| |infinity| |rightTrim| - |d01gbf| |transcendenceDegree| |s18adf| |setMaxPoints| |monomRDEsys| - |sortConstraints| |leftScalarTimes!| |setErrorBound| |separateFactors| - |asec| |obj| |leftTrim| |rootOfIrreduciblePoly| |topPredicate| - |continuedFraction| |quadraticForm| |toseSquareFreePart| |polygon| - |monicCompleteDecompose| |weakBiRank| |algebraicDecompose| |acsc| - |plusInfinity| |cache| |rst| |revert| |identification| |curry| - |readLineIfCan!| |OMmakeConn| |root| |functionIsContinuousAtEndPoints| - |fill!| |sinh| |conjugate| |minusInfinity| |mdeg| |name| |aspFilename| - |changeVar| |find| |s17agf| |expandTrigProducts| |leastPower| - |splitDenominator| |cosh| |dom| |lookup| - |standardBasisOfCyclicSubmodule| |polar| |pastel| |getGraph| |iroot| - |extractBottom!| |laguerre| |lfextlimint| |label| |tanh| |kernel| - |s17acf| |rquo| |lazyIrreducibleFactors| |newTypeLists| |chvar| - |virtualDegree| |cCos| |rischDE| |quasiComponent| |coth| |draw| - |fortranCharacter| |Si| |discreteLog| |in?| |cCoth| |specialTrigs| - |totalfract| |zeroSquareMatrix| |nextPrime| |sech| |backOldPos| - |OMgetError| |meshFun2Var| |partitions| |laplace| |viewPhiDefault| - |blue| |associator| |alphabetic| |removeSquaresIfCan| |concat!| - |subspace| |leadingBasisTerm| |sumOfKthPowerDivisors| |startStats!| - |complexNormalize| |leftNorm| |cAcsch| |modifyPointData| - |linearDependenceOverZ| |mkPrim| |compiledFunction| |bernoulliB| - |integral| |title| |makeObject| |inc| |member?| |deepCopy| |universe| - |palglimint| |totalDifferential| |numberOfIrreduciblePoly| - |fillPascalTriangle| |keys| |badValues| |e| |f02abf| |graphCurves| - |meshPar2Var| |mathieu12| |error| |over| |cos2sec| |critM| - |symbolTableOf| |coef| |s14aaf| |superHeight| |setPosition| |bumprow| - |collect| |assert| |exprHasWeightCosWXorSinWX| |nsqfree| |divisors| - |coth2trigh| |differentialVariables| |extractIndex| |makeEq| - |evenlambert| |makeop| |iiacsc| |OMputEndAttr| |basisOfRightNucleus| - |ef2edf| |rightExactQuotient| |vconcat| |finiteBound| |nextColeman| - |solveLinearPolynomialEquationByFractions| |mainKernel| |s17dgf| - |hMonic| |hasTopPredicate?| |realElementary| |normal?| |closedCurve?| - |resetNew| |showTheIFTable| |debug| |roughBase?| |option| |iCompose| - |divide| |primlimitedint| |bumptab1| |atrapezoidal| |leadingSupport| - |validExponential| |lowerPolynomial| |permutationGroup| |addPointLast| - |oblateSpheroidal| |clearTheFTable| |positiveSolve| |top!| |checkRur| - |hitherPlane| |has?| |e02ajf| |rdregime| |factorsOfDegree| - |cycleRagits| |enumerate| |node| |physicalLength!| |palgRDE| - |divisorCascade| |repSq| |badNum| |weierstrass| |listYoungTableaus| - |tab1| |shellSort| |UnVectorise| |rationalPoints| |entry| |close!| - |curryRight| |diagonal| |reindex| |firstUncouplingMatrix| |cotIfCan| - |dec| |factorPolynomial| |ScanFloatIgnoreSpacesIfCan| |taylor| - |polCase| |pToDmp| ** |size?| |unprotectedRemoveRedundantFactors| - |stosePrepareSubResAlgo| |scalarTypeOf| |setAdaptive| |cAtan| - |laurent| |balancedFactorisation| |createLowComplexityNormalBasis| - |float| |pointLists| |shrinkable| |infiniteProduct| |dioSolve| - |subSet| |rk4a| |puiseux| |mkAnswer| |selectOrPolynomials| |failed| - |clikeUniv| |ffactor| |lazy?| EQ |root?| |redPo| |modTree| |f02bjf| - |po| |cyclotomicFactorization| |complementaryBasis| |ScanRoman| - |wordInStrongGenerators| |eisensteinIrreducible?| |contractSolve| - |resultant| |inv| |times!| |createRandomElement| |lprop| |abs| - |e04jaf| |fractRadix| |d01apf| |pade| |equiv?| |ground?| |heap| - |unrankImproperPartitions1| |explicitlyFinite?| |sturmVariationsOf| - |upperCase?| |modularFactor| |monicLeftDivide| |selectfirst| - |genericRightMinimalPolynomial| |ground| |qPot| |ravel| |directory| - |minimumExponent| |vertConcat| |OMUnknownCD?| |socf2socdf| - |closeComponent| |cAsin| |leadingMonomial| |strongGenerators| |invmod| - |moebiusMu| |lifting1| |reshape| |divideExponents| - |showFortranOutputStack| |rationalFunction| |moduloP| - |leadingCoefficient| |leftRankPolynomial| |setfirst!| |rightUnit| - |npcoef| |prem| |pleskenSplit| |numericIfCan| |idealiser| - |primitiveMonomials| |basicSet| |presub| GE - |removeRoughlyRedundantFactorsInPols| |returnTypeOf| |setTex!| - |makeUnit| |reductum| |nextsubResultant2| |infinityNorm| GT - |genericLeftTraceForm| |makeYoungTableau| |trim| |noLinearFactor?| - |mkIntegral| |internalDecompose| |rank| |inverseLaplace| |prod| LE - |binomThmExpt| |linearMatrix| |write!| |LyndonWordsList1| |s13adf| - |even?| |packageCall| |genericRightDiscriminant| |startTableInvSet!| - LT |commaSeparate| |antisymmetric?| |indicialEquationAtInfinity| - |update| |compactFraction| |positiveRemainder| |karatsubaDivide| - |errorKind| |conjug| |bezoutMatrix| |bringDown| |numberOfChildren| - |lastSubResultantElseSplit| |f01brf| |f02wef| |Is| |f02aef| |eq| - |constantRight| |frst| |multiset| |car| |rspace| |removeSinhSq| - |stFuncN| |e04naf| |leftGcd| |antiCommutative?| |iter| |largest| - |leftTrace| |shallowExpand| |cdr| |expPot| |rroot| |f01ref| |sort| - |karatsubaOnce| |slash| |subTriSet?| |binaryTree| |returns| - |nilFactor| |d02cjf| |rdHack1| |graphState| |lquo| |power!| |lexico| - |unitNormal| |coth2tanh| |s17dlf| |nthr| |exQuo| |medialSet| - |factorAndSplit| |fortranCompilerName| |iiabs| |position| |setleft!| - |setref| |d01bbf| |branchPointAtInfinity?| |getMeasure| |sumOfSquares| - |c06fpf| |and?| |li| |safeCeiling| |deepestInitial| |rightTrace| - |numberOfComputedEntries| |Nul| |child| |eigenvalues| |random| - |parametersOf| |powers| |makeSin| |ridHack1| |augment| |composites| - |dflist| |pile| |duplicates| |putColorInfo| |exp| |loopPoints| |tab| - |changeName| |f02xef| |operators| |mapCoef| |OMreceive| |reseed| - |collectUpper| |newSubProgram| |iicos| |normalDenom| |argument| - |semiSubResultantGcdEuclidean2| |gderiv| |plus!| |radix| - |internalSubQuasiComponent?| |goto| |plotPolar| |bsolve| |deepExpand| - |ReduceOrder| |hypergeometric0F1| |LyndonBasis| |writable?| |ode2| - |leftDivide| |noKaratsuba| |dmp2rfi| |components| |perfectNthRoot| - |rules| |degree| |flagFactor| |stoseInvertibleSetreg| |laguerreL| - |basisOfLeftNucleus| |subst| |isExpt| |primPartElseUnitCanonical| - |binomial| |f02bbf| |index?| |prinb| |besselY| |atanIfCan| |curve?| - |inrootof| |midpoint| |divergence| |wordsForStrongGenerators| - |pureLex| |froot| |solveLinear| |factorial| |nonSingularModel| |lllip| - |datalist| |complete| |trigs| |infinite?| |OMconnectTCP| - |lfextendedint| |s14baf| |lowerCase?| |bivariate?| |pseudoQuotient| - |resultantEuclidean| |purelyTranscendental?| |e01sff| |parametric?| - |implies| |zero?| |constDsolve| |doubleComplex?| |algSplitSimple| - |moduleSum| |objects| UTS2UP |ScanFloatIgnoreSpaces| |xor| |compose| - |cartesian| |setLabelValue| |readable?| |c06ecf| |more?| |base| - |region| |mantissa| |postfix| |component| |spherical| |parabolic| - |generalizedInverse| |tableForDiscreteLogarithm| |bag| - |HermiteIntegrate| |d03edf| |exprToGenUPS| |d01ajf| |double| |tube| - |zeroDimPrime?| |leftLcm| |primeFactor| |const| |prefix| |opeval| - |prime?| |minimize| |quotient| |directSum| |complexLimit| - |wordInGenerators| |palgRDE0| |extend| |df2st| - |semiResultantEuclidean2| |htrigs| |sizeMultiplication| |ref| |vspace| - |acschIfCan| |brace| |complex?| |roughUnitIdeal?| |term| |f01maf| - |getVariableOrder| |jordanAlgebra?| |shufflein| |structuralConstants| - |test| |signAround| |partialNumerators| |nthRoot| |cap| |mainMonomial| - |iiperm| |numberOfComponents| |rangePascalTriangle| |rightRank| - |moebius| |nthRootIfCan| |leadingTerm| |computeCycleLength| |cubic| - |alphabetic?| |rightRecip| |setright!| |reducedContinuedFraction| - |extractTop!| |unitNormalize| |cyclic| |symbolIfCan| |OMputError| - |linearAssociatedLog| |declare!| |nullSpace| |generalSqFr| |cTanh| - |firstNumer| |evenInfiniteProduct| |symmetricTensors| - |limitedIntegrate| |primlimintfrac| |value| |fortranLogical| |fi2df| - |OMputEndApp| |setOfMinN| |cons| |getButtonValue| |e01sbf| |recip| - |SturmHabichtSequence| |s01eaf| |swapRows!| |untab| |f01rdf| - |predicates| |cyclePartition| |key?| |e04dgf| |floor| |elColumn2!| - |harmonic| |llprop| |phiCoord| |generators| |e01baf| |genericPosition| - |adjoint| |kovacic| |previous| |identityMatrix| |genericLeftNorm| - |leftExactQuotient| |initTable!| |quoted?| - |factorSquareFreeByRecursion| |maxIndex| |insertTop!| |bipolar| - |quadratic| |tree| |modularGcd| |listConjugateBases| |homogeneous?| - |merge| |#| |lowerCase!| |anfactor| |elliptic?| |zero| |trigs2explogs| - |cot2tan| |mapUnivariateIfCan| |torsionIfCan| |linear?| |cLog| - |symFunc| |univariateSolve| |e02def| |subNodeOf?| |remove!| - |outputAsScript| |lazyPseudoQuotient| |bit?| |And| |curveColorPalette| - |setColumn!| |sequences| |separant| |iiasin| |pToHdmp| |varselect| - |Or| |char| |tanAn| |collectQuasiMonic| ^ |triangularSystems| - |zerosOf| |B1solve| |absolutelyIrreducible?| |genericLeftDiscriminant| - |Not| |sum| |setOrder| |clip| |stiffnessAndStabilityFactor| 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|systemSizeIF| |iflist2Result| |leadingIdeal| - |atoms| |pol| |hclf| |andOperands| |lazyResidueClass| - |symmetricDifference| |subtractIfCan| |oddlambert| |clipParametric| - |bottom!| |degreePartition| |removeConstantTerm| |partition| |append| - |setMinPoints3D| |e02dcf| |bracket| |iifact| |df2mf| |multMonom| - |cCsch| |isPower| |controlPanel| |digit| NOT |delete| |tan2trig| - |s18acf| |prepareDecompose| |euler| |removeRedundantFactorsInPols| - |distdfact| |monomialIntPoly| |f07aef| |singRicDE| |identity| |ran| OR - |resultantEuclideannaif| |clipSurface| |pmintegrate| |rationalIfCan| - |cAcos| |f04adf| |PDESolve| |OMputSymbol| |complexElementary| - |mergeDifference| |check| AND |basisOfCenter| |BumInSepFFE| - |integralDerivationMatrix| |linearDependence| |numFunEvals| |children| - |stoseIntegralLastSubResultant| |definingInequation| |refine| - |neglist| |taylorIfCan| |iicoth| |implies?| |elRow2!| |imagk| |ranges| - |difference| |central?| |subHeight| |polygon?| |sinIfCan| |polygamma| - |atanhIfCan| |substring?| |position!| |BasicMethod| |OMbindTCP| - |quartic| |screenResolution3D| |henselFact| |rightMult| |distFact| - |edf2ef| |OMencodingXML| |selectNonFiniteRoutines| |lazyGintegrate| - |nonLinearPart| |read!| |irreducibleFactors| |clearTheIFTable| - |OMgetEndAttr| |addMatchRestricted| |iiacos| |stirling2| |scale| - |c05nbf| |e04ucf| |splitNodeOf!| |suffix?| |comparison| |inHallBasis?| - |reorder| |OMreadStr| |palgint| |imagK| |cyclicCopy| - |bipolarCylindrical| |bezoutDiscriminant| |eigenvectors| - |decomposeFunc| |besselK| |term?| |iiacot| |tablePow| |quickSort| - |vark| |lfinfieldint| |genus| |eyeDistance| |increment| |groebner| - |prefix?| |invmultisect| |xRange| |functionIsOscillatory| - |maxRowIndex| |trueEqual| |Vectorise| |antiCommutator| - |realEigenvectors| |yCoordinates| |init| |squareMatrix| - |matrixConcat3D| |mainForm| |var2Steps| |PollardSmallFactor| |yRange| - |cyclotomicDecomposition| |logpart| |complexEigenvectors| |multisect| - |leftQuotient| 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|enterInCache| - |extendIfCan| |makeViewport2D| |algint| |float?| |s21bdf| |parent| - |quotientByP| |failed?| |rationalPower| |write| |rischNormalize| - |quotedOperators| |modifyPoint| |notOperand| |exponential| |save| - |powmod| |c02aff| |fixedPointExquo| |stack| |setchildren!| - |numericalOptimization| |LiePolyIfCan| |notelem| |normalise| - |createPrimitiveNormalPoly| |iiacosh| |trunc| |elRow1!| - |upDateBranches| |currentEnv| |logical?| |linearlyDependent?| - |addBadValue| |lazyPseudoDivide| |c02agf| |mpsode| |increase| - |monomialIntegrate| |fullPartialFraction| |or| |f01qef| |rowEchelon| - |OMreadFile| |mainContent| |predicate| |setClipValue| - |supDimElseRittWu?| |compound?| |reduceLODE| |OMgetBind| |addMatch| - |approxSqrt| |e02baf| |and| |extensionDegree| |uniform01| - |exactQuotient!| |leftFactor| |exponential1| |solid?| |iipow| - |viewDefaults| |pointColorPalette| |normalized?| |f04arf| |f04axf| - |nextPartition| |mainMonomials| |multiplyExponents| |OMputAtp| - |stoseLastSubResultant| |resetAttributeButtons| |pow| |minPoly| - |d03faf| |rightDivide| |slex| |leftExtendedGcd| |redmat| |qqq| - |setPoly| |subNode?| |mathieu23| |removeSinSq| |prindINFO| |kmax| |lp| - |f07fef| |monomial| |numberOfPrimitivePoly| |d01aqf| |completeEval| - |alternatingGroup| F |readIfCan!| |simpson| |exactQuotient| |redPol| - |buildSyntax| |nodeOf?| |factorsOfCyclicGroupSize| - |completeEchelonBasis| |nextNormalPoly| |OMgetEndApp| |expt| - |dimensionOfIrreducibleRepresentation| |bits| |randnum| - |extendedResultant| |selectAndPolynomials| |shuffle| |multivariate| - |diff| |trapezoidal| |isQuotient| |sec2cos| |wholeRadix| |writeLine!| - |iiatan| |rootSimp| |idealiserMatrix| |inverse| |arg1| |tensorProduct| - |mkcomm| |product| |relerror| |expextendedint| |primintfldpoly| - |variables| |string?| |leaf?| |useEisensteinCriterion| |rk4f| - |associatedEquations| |tubePlot| |flexibleArray| |arg2| |e01bhf| - |power| |printStats!| |stripCommentsAndBlanks| |laplacian| - |viewport3D| |setScreenResolution3D| |varList| |imagI| - |recoverAfterFail| |rightDiscriminant| |OMputFloat| |number?| - |symmetricPower| |asechIfCan| |radicalEigenvector| |totalGroebner| - |removeCosSq| |option?| |putGraph| |iiacoth| |rightOne| |lintgcd| - |besselI| |cyclicGroup| |color| |complement| - |integralMatrixAtInfinity| |algintegrate| |resetBadValues| |cAsinh| - |conditions| |solveLinearPolynomialEquationByRecursion| |connect| - |green| |qfactor| |toScale| |ratpart| |sorted?| |factor1| - |setsubMatrix!| |showArrayValues| |ramifiedAtInfinity?| - |fortranTypeOf| |complexSolve| |factorSquareFreePolynomial| |zoom| - |rewriteIdealWithRemainder| |outputAsTex| |match| |s17dcf| |hdmpToDmp| - |s20acf| |hash| |rightExtendedGcd| |latex| |height| |generalTwoFactor| - |makeResult| |purelyAlgebraicLeadingMonomial?| |hermite| |rootPower| - |binding| |alphanumeric?| |factorGroebnerBasis| |bitCoef| |concat| - |primeFrobenius| |infieldint| |fortranLiteralLine| |count| |belong?| - |lazyVariations| |quote| |nextItem| |changeMeasure| |viewport2D| - |external?| |localReal?| |operation| |bitTruth| |OMputString| - |preprocess| |generic| |complexForm| |inverseIntegralMatrixAtInfinity| - |addPoint2| |updatD| |cothIfCan| |OMputApp| |makingStats?| - |rischDEsys| |nextLatticePermutation| |fibonacci| |point?| - |modularGcdPrimitive| |extract!| |listLoops| |isobaric?| |e01bef| - |localUnquote| |numerators| |squareFreePrim| |makeSUP| |youngGroup| - |bumptab| |cycle| |atom?| |constantLeft| |drawStyle| |nor| - |definingPolynomial| |lastSubResultantEuclidean| |headReduce| - |weights| |stopTableGcd!| |curveColor| |pmComplexintegrate| |s19adf| - |simplifyLog| |nil| |infinite| |arbitraryExponent| |approximate| - |complex| |shallowMutable| |canonical| |noetherian| |central| + |Record| |Union| |Category| |f02axf| |halfExtendedSubResultantGcd2| + |split!| |inR?| |hdmpToDmp| |delta| |factorList| + |constantCoefficientRicDE| |lquo| |isPlus| |resetVariableOrder| + |clipBoolean| |cAcsc| |create3Space| |randomR| |pointData| |hex| + |s20acf| |inRadical?| |power!| |monicRightDivide| + |ellipticCylindrical| |lfintegrate| |multiEuclideanTree| |appendPoint| + |corrPoly| |birth| |prologue| |sup| |rightExtendedGcd| + |leftFactorIfCan| |lexico| |viewSizeDefault| |denomLODE| |list?| + |charClass| |declare| |content| |maximumExponent| |dominantTerm| + |integerIfCan| |setAdaptive3D| |pr2dmp| |latex| |unitNormal| + |oddintegers| |complexNumeric| |changeBase| |pushdterm| |factorset| + |iicsc| |FormatArabic| |univariate?| |currentScope| |OMread| |depth| + |log| |printInfo!| |generalTwoFactor| |paren| |coth2tanh| |randomLC| + |setValue!| |rootNormalize| |returnType!| |indicialEquation| + |generalInfiniteProduct| |highCommonTerms| |makeResult| |kernels| + |s17dlf| |resultantReduit| |fglmIfCan| |setMaxPoints3D| |comment| + |solid| |patternMatch| |ideal| |whatInfinity| |charpol| + |purelyAlgebraicLeadingMonomial?| |leaves| |univariate| |movedPoints| + |nthr| |numberOfFactors| |monicRightFactorIfCan| |extendedEuclidean| + |lambda| |separate| |overset?| |quoByVar| |infieldIntegrate| |hermite| + |exQuo| |lazyIntegrate| |bitLength| |conjugates| |showSummary| + |fortranLiteral| |retractIfCan| |c06gcf| |mainDefiningPolynomial| + |rootPower| |airyAi| |findCycle| |dequeue| |medialSet| |zeroVector| + |transpose| |multiplyCoefficients| |tanhIfCan| |lambert| |binding| + |rightFactorIfCan| |scalarMatrix| |factorAndSplit| |mix| + |alternative?| |numberOfMonomials| |rootRadius| |sayLength| + |showAttributes| |perspective| |alphanumeric?| |conical| + |headReduced?| |cAcot| |fortranCompilerName| |setFormula!| + |showTheFTable| |sizeLess?| |toroidal| |optpair| |powerSum| + |factorGroebnerBasis| |e04ycf| |gcdprim| |coercePreimagesImages| + |generalizedEigenvector| |numericalIntegration| |bitCoef| |c06ekf| + |f02fjf| |fractRadix| |padicallyExpand| |pole?| |degreeSubResultant| + BY |usingTable?| |primeFrobenius| |factorByRecursion| |pair?| |d01apf| + Y |twist| |push!| |top| |brillhartIrreducible?| |mirror| |polyPart| + |infieldint| |divideIfCan| |pade| |rule| |leadingCoefficientRicDE| + |removeRedundantFactorsInContents| |continue| |matrix| |void| + |fortranLiteralLine| |OMgetBVar| |leftRecip| |equiv?| + |indicialEquations| |shiftLeft| |unitNormalize| |belong?| |e02bcf| + |quasiRegular?| |heap| |pattern| |irreducible?| + |fortranCarriageReturn| |cyclic| |formula| |generator| |chiSquare1| + |lazyVariations| |unrankImproperPartitions1| |rational?| + |clearDenominator| |symbolIfCan| |map| |less?| |quote| + |explicitlyFinite?| |OMputError| |nextItem| |sturmVariationsOf| + |tubePoints| |difference| |basisOfMiddleNucleus| |graeffe| + |linearAssociatedLog| |changeMeasure| |upperCase?| |central?| |scan| + |traceMatrix| |unary?| |leadingExponent| |nullSpace| |nrows| + |viewport2D| |modularFactor| |tanintegrate| |subHeight| ~= + |fortranInteger| |overbar| |zag| |op| |generalSqFr| |ncols| |remove| + |monicLeftDivide| |OMgetEndError| |polygon?| |thetaCoord| |critMonD1| + |curryLeft| |cTanh| |convert| |d01aqf| |true| |selectfirst| |sinIfCan| + |norm| |OMputBind| |cardinality| |e02aef| |firstNumer| |completeEval| + |last| |genericRightMinimalPolynomial| |f07adf| |polygamma| |assoc| + |leftZero| |radicalOfLeftTraceForm| |finite?| |lo| + |evenInfiniteProduct| |copies| |alternatingGroup| |qPot| |match?| + |trace2PowMod| |atanhIfCan| |equivOperands| |setPredicates| + |symmetricTensors| |incr| |c06eaf| |readIfCan!| |fortran| + |minimumExponent| |position!| |swapColumns!| |gethi| |rowEchLocal| + |limitedIntegrate| |hi| |simpson| |scanOneDimSubspaces| |vertConcat| + |BasicMethod| |d01amf| |gcdcofact| |swap!| |primlimintfrac| + |expintfldpoly| |exactQuotient| |cross| |outputList| |retract| + |OMUnknownCD?| |OMbindTCP| |selectODEIVPRoutines| |fortranLogical| + |firstDenom| |symbol| |redPol| |showTheRoutinesTable| |socf2socdf| + |sdf2lst| |quartic| |fi2df| |getMultiplicationMatrix| |fortranComplex| + |buildSyntax| |cPower| ~ |closeComponent| |nthFlag| + |screenResolution3D| |null| |OMputEndApp| |string| |integer| + |squareFree| |nodeOf?| |imagE| |groebSolve| |cAsin| |cAsec| + |henselFact| |setOfMinN| |setTopPredicate| |paraboloidal| + |factorsOfCyclicGroupSize| |element?| |strongGenerators| |rightMult| + |cycleSplit!| |getButtonValue| |entries| |or?| |completeEchelonBasis| + |leftDiscriminant| |invmod| |solveid| |distFact| = |unaryFunction| + |e01sbf| |nextNormalPoly| |splitSquarefree| |edf2ef| |moebiusMu| + |one?| |segment| |s18aff| |recip| |create| |OMgetEndApp| |open| + |lifting1| |maxint| |OMencodingXML| |clearCache| < |elem?| + |SturmHabichtSequence| |prime| |expt| |level| |divideExponents| + |selectNonFiniteRoutines| |dimension| > |s01eaf| + |dimensionOfIrreducibleRepresentation| |OMputBVar| |interpret| + |showFortranOutputStack| |lazyGintegrate| |unexpand| <= |swapRows!| + |bits| |UpTriBddDenomInv| |leader| |rationalFunction| |applyRules| + |nonLinearPart| >= |expr| |startPolynomial| |generate| |untab| |list| + |randnum| |script| |moduloP| |read!| |getOperator| |output| + |sqfrFactor| |f01rdf| |setDifference| |extendedResultant| + |leftRankPolynomial| |irreducibleFactors| |endOfFile?| |incrementBy| + |setIntersection| |predicates| |prefixRagits| |selectAndPolynomials| + |checkPrecision| |setfirst!| |clearTheIFTable| |algebraicVariables| + + |cyclePartition| |expand| |setUnion| |shuffle| |rightUnit| |equation| + |OMgetEndAttr| |mainSquareFreePart| |variable| - |key?| |filterWhile| + |apply| |diff| |npcoef| |addMatchRestricted| |removeZero| / |e04dgf| + |filterUntil| |trapezoidal| |prem| |iiacos| |triangulate| |floor| + |select| |size| |sec2cos| |bindings| |tex| |pleskenSplit| |stirling2| + |c06gqf| |elColumn2!| |wholeRadix| |numericIfCan| |t| |child?| |scale| + |harmonic| |writeLine!| |stoseInvertible?| |idealiser| |dictionary| + |c05nbf| |llprop| |iiatan| |close| |round| |infLex?| |basicSet| + |rightMinimalPolynomial| |e04ucf| |phiCoord| |rootSimp| + |viewDeltaYDefault| |edf2df| |insert| |shift| |presub| |any?| + |splitNodeOf!| |generators| |idealiserMatrix| |condition| |range| + |cyclotomic| |removeRoughlyRedundantFactorsInPols| |comparison| + |unit?| SEGMENT |makeRecord| |e01baf| |inverse| |makeVariable| + |display| |localAbs| |returnTypeOf| |inHallBasis?| |physicalLength| + |genericPosition| |tensorProduct| |rotate| |interReduce| |ipow| + |setTex!| |reorder| |selectSumOfSquaresRoutines| |duplicates?| + |adjoint| |mkcomm| |rightLcm| |makeUnit| |OMreadStr| |cycleEntry| + |lazyPquo| |kovacic| |airyBi| |product| |linearPolynomials| |palgint| + |nextsubResultant2| |setScreenResolution| |psolve| |identityMatrix| + |viewpoint| |relerror| |createLowComplexityTable| |infinityNorm| + |imagK| |subCase?| |subresultantVector| |complexRoots| + |genericLeftNorm| |expextendedint| |input| |setEmpty!| |finiteBasis| + |genericLeftTraceForm| |cyclicCopy| |tanIfCan| |palgLODE0| + |leftExactQuotient| |primintfldpoly| |library| |makeYoungTableau| + |bipolarCylindrical| |complexIntegrate| |geometric| |initTable!| + |string?| |bezoutDiscriminant| |trim| |outputArgs| |result| |csch| + |quoted?| |uniform| |leaf?| |noLinearFactor?| |eigenvectors| |rarrow| + |asinh| |useEisensteinCriterion?| |factorSquareFreeByRecursion| + |useEisensteinCriterion| |mkIntegral| |possiblyNewVariety?| + |decomposeFunc| |acosh| |maxIndex| |trailingCoefficient| |rk4f| + |internalDecompose| |prinpolINFO| |besselK| |atanh| |insertTop!| + |quasiMonicPolynomials| |associatedEquations| |exponents| |set| + |inverseLaplace| |blankSeparate| |term?| |acoth| |bipolar| + |critpOrder| |tubePlot| |setImagSteps| |prod| |iiacot| |romberg| + |asech| |flexibleArray| |enqueue!| |quadratic| |compile| |id| |style| + |binomThmExpt| |tablePow| |is?| |weight| |modularGcd| |e01bhf| + |csubst| |linearMatrix| |problemPoints| |quickSort| |multiple| + |LazardQuotient| |listConjugateBases| |ptree| |measure| |fixedPoints| + |power| |table| |extension| |write!| |powerAssociative?| |vark| + |applyQuote| |nullary| |computeCycleEntry| |homogeneous?| + |antisymmetricTensors| |printStats!| |new| |explimitedint| + |LyndonWordsList1| |lfinfieldint| |jacobi| |Beta| + |reciprocalPolynomial| |select!| |argscript| |merge| + |stripCommentsAndBlanks| |interpolate| |genus| |torsion?| |bfEntry| + |factorials| |lowerCase!| |scripted?| |showTheSymbolTable| |laplacian| + |call| |basis| |log10| |palgRDE| |front| |eyeDistance| |ruleset| + |bandedHessian| |polarCoordinates| |anfactor| |mapBivariate| |rowEch| + |viewport3D| |legendre| |show| |divisorCascade| |perfectSquare?| + |increment| |leastMonomial| |Lazard2| |elliptic?| |rotatey| |d01anf| + |evaluateInverse| |setScreenResolution3D| |primitive?| |repSq| |pdct| + F2FG |groebner| |cSin| |reverse| |imagI| + |semiDegreeSubResultantEuclidean| |trace| |accuracyIF| |badNum| + |minColIndex| |invmultisect| |suchThat| |degreeSubResultantEuclidean| + |parabolic| |s14abf| |recoverAfterFail| |fortranReal| |getProperties| + |weierstrass| |functionIsOscillatory| |algebraicSort| |viewPosDefault| + |generalizedInverse| |getDatabase| |rightDiscriminant| |tower| + |e02ahf| |node?| |listYoungTableaus| |taylorQuoByVar| |maxRowIndex| + |iisinh| |iitanh| |tableForDiscreteLogarithm| |center| |OMputFloat| + |conditionsForIdempotents| |tab1| |var2StepsDefault| |f02aaf| |bag| + |maxrow| |initial| |number?| |shellSort| |fixedPoint| |xn| |printInfo| + |imaginary| |symmetricDifference| |listexp| |HermiteIntegrate| + |monicDivide| |symmetricPower| |left| |copyInto!| |pascalTriangle| + |UnVectorise| |factor| |subtractIfCan| |palgint0| |critB| |pdf2df| + |d03edf| |repeatUntilLoop| |asechIfCan| |right| |rationalPoints| + |makeTerm| |sqrt| |partialFraction| |oddlambert| |property| + |polyRicDE| |f2st| |exprToGenUPS| |close!| |musserTrials| |real| + |triangular?| |clipParametric| |rewriteIdealWithQuasiMonicGenerators| + |d01ajf| |monicDecomposeIfCan| |lazyIrreducibleFactors| |rename| + |getExplanations| |upDateBranches| |curryRight| |imag| |OMopenFile| + |getBadValues| |pquo| |bottom!| |s17ajf| |symbolTable| |logical?| + |makeMulti| |palgextint| |tube| |newTypeLists| |twoFactor| + |directProduct| |degreePartition| |setelt!| |extractPoint| + |purelyAlgebraic?| |diagonal| |subResultantsChain| |units| |chvar| + |s21bcf| |zeroDimPrime?| |s15adf| |linearlyDependent?| |pseudoDivide| + |reindex| |cyclic?| |categoryFrame| |d01akf| |zeroDim?| + |removeConstantTerm| |pushFortranOutputStack| |morphism| + |exteriorDifferential| |leftLcm| |cscIfCan| |virtualDegree| + |addBadValue| |schwerpunkt| |destruct| |padicFraction| |plot| + |firstUncouplingMatrix| |monomials| |partition| + |popFortranOutputStack| |identitySquareMatrix| |useNagFunctions| + |primeFactor| |cCos| |normalizedDivide| |lazyPseudoDivide| |f04asf| + |optimize| |cosIfCan| |cotIfCan| |roman| |cAtanh| |setMinPoints3D| + |outputAsFortran| |flexible?| |rombergo| |const| + |removeRoughlyRedundantFactorsInContents| |c02agf| |rischDE| + |perfectNthPower?| |imagi| |factorPolynomial| |rur| + |LyndonCoordinates| |e02dcf| |leftOne| |lex| |opeval| |dequeue!| + |quasiComponent| |mpsode| |normInvertible?| |makeprod| + |ScanFloatIgnoreSpacesIfCan| |stFunc2| |code| |bracket| |increase| + |minimalPolynomial| |printStatement| |prime?| |insertBottom!| + |fortranCharacter| |polCase| |expint| |orbits| |eigenMatrix| |iifact| + |minimize| |monomialIntegrate| |nil| |OMgetInteger| |Si| |coleman| + |print| |radicalSolve| |mergeFactors| |cSinh| |innerEigenvectors| + |pToDmp| |df2mf| |zeroOf| |divisor| |balancedBinaryTree| |quotient| + |fullPartialFraction| |discreteLog| |size?| |useSingleFactorBound?| + |internalIntegrate| |sincos| |multMonom| |nthExponent| |OMReadError?| + |in?| |directSum| |f01qef| |fixedDivisor| |checkForZero| |regime| + |unprotectedRemoveRedundantFactors| |intersect| |cCsch| |second| + |branchPoint?| |cCoth| |complexLimit| |unmakeSUP| + |commutativeEquality| |rowEchelon| |bfKeys| |stosePrepareSubResAlgo| + |terms| |maxdeg| |isPower| |third| |function| |specialTrigs| |entry?| + |contract| |wordInGenerators| |OMputVariable| |OMreadFile| + |scalarTypeOf| |selectFiniteRoutines| |lyndon?| |wholeRagits| + |controlPanel| |FormatRoman| |palgRDE0| |cAcoth| |totalfract| + |mainContent| |iisqrt2| |iiasec| |ricDsolve| |setAdaptive| |digit| + |basisOfRightNucloid| |diagonalMatrix| |extend| |setClipValue| + |zeroSquareMatrix| |cAtan| |row| |rectangularMatrix| RF2UTS |tan2trig| + |reduceBasisAtInfinity| |df2st| |pointColorDefault| |nextPrime| + |supDimElseRittWu?| |balancedFactorisation| |headRemainder| + |stiffnessAndStabilityOfODEIF| |palgintegrate| |s18acf| + |stopTableInvSet!| |semiResultantEuclidean2| |tubeRadiusDefault| + |backOldPos| |compound?| |createLowComplexityNormalBasis| + |fractionFreeGauss!| |OMunhandledSymbol| |semiResultantEuclidean1| + |prepareDecompose| |vector| |setRow!| |hexDigit?| |htrigs| + |reduceLODE| |OMgetError| |rootsOf| |pointLists| |hasPredicate?| + |mathieu24| |euler| |differentiate| |minrank| |sizeMultiplication| + |mainPrimitivePart| |meshFun2Var| |OMgetBind| |bivariatePolynomials| + |shrinkable| |asinIfCan| |removeRedundantFactorsInPols| |maxPoints| + |partitions| |OMgetSymbol| |ref| |addMatch| |lastSubResultant| + |decrease| |contains?| |precision| |case| |linear| |infiniteProduct| + |distdfact| |nextPrimitivePoly| |consnewpol| |approxSqrt| |vspace| + |laplace| UP2UTS |Ci| |dioSolve| |factorOfDegree| |monomialIntPoly| + |coerce| |setRealSteps| |mathieu22| |surface| |acschIfCan| |e02baf| + |viewPhiDefault| |subSet| |OMencodingUnknown| |numberOfVariables| + |polynomial| |f07aef| |construct| |blue| |cylindrical| |complex?| + |minPoints| |low| |extensionDegree| |selectsecond| |rk4a| |upperCase| + |singRicDE| D |processTemplate| |lfunc| |associator| |roughUnitIdeal?| + |OMgetAttr| |uniform01| |minset| |createNormalPrimitivePoly| + |mkAnswer| |identity| |lcm| |alphabetic| |rightRemainder| |term| + |printingInfo?| |wrregime| |exactQuotient!| |totolex| |exquo| + |constantIfCan| |selectOrPolynomials| |ran| |computePowers| |f01maf| + |diophantineSystem| |bright| |empty| |leftFactor| |removeSquaresIfCan| + |div| |axesColorDefault| |removeZeroes| |clikeUniv| + |resultantEuclideannaif| |figureUnits| |e01bgf| |exponential1| + |getVariableOrder| |cot2trig| |concat!| |symmetricProduct| |quo| + |setprevious!| |ffactor| |clipSurface| |gcd| |solid?| |chebyshevT| + |jordanAlgebra?| |f04qaf| |rotatex| |subspace| |solveLinearlyOverQ| + |euclideanNormalForm| |lazy?| |pmintegrate| |union| |iipow| + |midpoints| |shufflein| |fintegrate| |leadingBasisTerm| + |sylvesterSequence| |constantKernel| |rem| |secIfCan| |root?| + |rationalIfCan| |false| |getlo| |sumOfKthPowerDivisors| |cAcosh| + |structuralConstants| |bat1| |eval| |viewDefaults| |rootOf| + |minRowIndex| |redPo| |setFieldInfo| |cAcos| |first| + |pointColorPalette| |listRepresentation| |signAround| + |semicolonSeparate| |decreasePrecision| |startStats!| |newLine| + |genericRightNorm| |modTree| |sech2cosh| |f04adf| |rest| + |partialNumerators| |iiacsch| |drawComplexVectorField| |ode1| + |complexNormalize| |normalized?| |e04mbf| |mapdiv| |f02bjf| + |halfExtendedResultant1| |substitute| |PDESolve| |leftNorm| |box| + |extendedSubResultantGcd| |/\\| |nthRoot| |integralBasis| + |drawToScale| |f04arf| |any| |removeRedundantFactors| |positive?| |po| + |toseInvertible?| |removeDuplicates| |OMputSymbol| |cap| |elements| + |iisqrt3| |zeroMatrix| |cAcsch| |f04axf| |cTan| |symmetric?| + |oneDimensionalArray| |cyclotomicFactorization| |complexElementary| + |increasePrecision| |OMgetEndBVar| |coerceImages| |mainMonomial| + |nextPartition| |modifyPointData| |nary?| |tryFunctionalDecomposition| + |complementaryBasis| |coefChoose| |mergeDifference| |domainOf| + |f04mbf| |clipWithRanges| |iiperm| |mainMonomials| + |linearDependenceOverZ| |iicot| |completeHermite| |ScanRoman| + |toseInvertibleSet| |check| |equality| |forLoop| |numberOfComponents| + |setPrologue!| |mkPrim| |multiplyExponents| |submod| |trivialIdeal?| + |limit| |wordInStrongGenerators| |basisOfCenter| |setelt| |integral?| + |rangePascalTriangle| |compiledFunction| |fortranLinkerArgs| + |OMputAtp| |squareFreeFactors| |eisensteinIrreducible?| |prinshINFO| + |viewWriteDefault| |sumSquares| |numeric| |BumInSepFFE| |rightRank| + |perfectSqrt| |setProperty| |bernoulliB| |stoseLastSubResultant| + |createThreeSpace| |radical| |plus| |nextsousResultant2| |not| + |contractSolve| |extractClosed| |integralDerivationMatrix| |copy| + |resetAttributeButtons| |reopen!| |truncate| |primextintfrac| + |moebius| |permanent| |integral| |character?| |commonDenominator| + |resultant| |linearDependence| |properties| + |permutationRepresentation| |deepestTail| |besselJ| |schema| + |nthRootIfCan| |pow| |member?| |inconsistent?| |saturate| |times!| ^= + |numFunEvals| |initiallyReduced?| |leftCharacteristicPolynomial| + |redpps| |LiePoly| |leadingTerm| |minPoly| |deepCopy| + |noncommutativeJordanAlgebra?| |palgextint0| |createRandomElement| + |children| |autoCoerce| |e02adf| |computeCycleLength| |universe| + |lazyEvaluate| |poisson| |d03faf| |max| |reverse!| |lprop| + |stoseIntegralLastSubResultant| |f01mcf| |coord| |complexNumericIfCan| + |cubic| |palglimint| |rightDivide| |say| |mapExpon| |abs| + |definingInequation| |column| |alphabetic?| |totalDifferential| + |showRegion| |contours| |slex| |translate| |e04jaf| |patternVariable| + |refine| |dimensions| |complexZeros| |iprint| |rightRecip| + |numberOfIrreduciblePoly| |leftExtendedGcd| |neglist| |ldf2vmf| + |setright!| |iilog| |asinhIfCan| |fillPascalTriangle| |redmat| + |s14aaf| |invertible?| |times| |taylorIfCan| + |reducedContinuedFraction| |OMputEndBind| |relativeApprox| |badValues| + |qqq| |zeroDimPrimary?| |superHeight| |iicoth| |iidprod| |extractTop!| + |getOperands| |setPoly| |f02abf| |setPosition| |OMgetEndBind| + |implies?| |subNode?| |graphCurves| |null?| |bumprow| |elRow2!| + |linSolve| |components| |lflimitedint| |meshPar2Var| |mathieu23| + |collect| |replace| |length| |monom| |imagk| |perfectNthRoot| + |definingEquations| |mathieu12| |removeSinSq| + |exprHasWeightCosWXorSinWX| |resize| |scripts| |ranges| |key| + |viewDeltaXDefault| |degree| |prindINFO| |over| |nsqfree| |sqfree| + |eq?| |flagFactor| |options| |kmax| |cos2sec| |common| + |rightAlternative?| |divisors| |frobenius| |RittWuCompare| |elt| + |leftPower| |stoseInvertibleSetreg| |critM| |f07fef| |linkToFortran| + |coth2trigh| |janko2| |Gamma| |filename| |iiGamma| |laguerreL| + |numberOfPrimitivePoly| |symbolTableOf| |differentialVariables| + |LyndonWordsList| |associates?| |normalizeIfCan| |basisOfLeftNucleus| + |mapUnivariate| |outputMeasure| |extractIndex| |brillhartTrials| + |c06gsf| |minIndex| |isExpt| |not?| |gbasis| |meatAxe| |realRoots| + |makeEq| |exp1| |OMserve| |invertIfCan| |primPartElseUnitCanonical| + |parse| |debug3D| |vectorise| |evenlambert| |diagonals| + |unitCanonical| |readLine!| |cond| |binomial| |closed?| + |univariatePolynomials| |rewriteSetWithReduction| |makeop| + |viewThetaDefault| |dimensionsOf| |normalize| |cn| |f02bbf| |asimpson| + |f02aff| |showScalarValues| |iiacsc| |cosh2sech| |denomRicDE| + |mainVariables| |index?| |rightQuotient| |elliptic| |makeCrit| + |OMputEndAttr| |expressIdealMember| |wronskianMatrix| |sturmSequence| + |subresultantSequence| |computeInt| |prinb| |internalLastSubResultant| + |dim| |nextSublist| |basisOfRightNucleus| |defineProperty| + |isAbsolutelyIrreducible?| |resultantReduitEuclidean| |nullity| + |besselY| |initials| |innerSolve| |getOrder| |nand| |ef2edf| + |palgLODE| |hue| |sinhcosh| |atanIfCan| |selectIntegrationRoutines| + |leftRank| |gcdPrimitive| |exprToUPS| |recur| |rightExactQuotient| + |aLinear| |dn| |expandLog| |mapUp!| |addmod| |curve?| |width| + |normalElement| |SturmHabichtMultiple| |exponent| |vconcat| |seed| + |indiceSubResultantEuclidean| |summation| + |selectMultiDimensionalRoutines| |inrootof| |representationType| + |e02dff| |d01gbf| |drawCurves| |finiteBound| |setProperty!| + |realEigenvalues| |LagrangeInterpolation| |inf| |s17akf| |escape| + |coerceP| |midpoint| |critT| |transcendenceDegree| |principal?| + |nextColeman| |OMsupportsSymbol?| |cycles| |firstSubsetGray| + |getPickedPoints| |constant| |irreducibleFactor| |divergence| + |univcase| |s18adf| |int| |computeBasis| + |solveLinearPolynomialEquationByFractions| |OMputEndAtp| + |jacobiIdentity?| |real?| |constantOperator| + |wordsForStrongGenerators| |setMaxPoints| |imagJ| |mainKernel| + |hyperelliptic| |makeSeries| |nextIrreduciblePoly| + |removeIrreducibleRedundantFactors| |pureLex| |pointPlot| |optional| + |monomRDEsys| |decompose| |exprToXXP| |s17dgf| |sncndn| |fracPart| + |erf| |sortConstraints| |nthExpon| |froot| |linearlyDependentOverZ?| + |hermiteH| |innerint| |hMonic| |Lazard| |showAll?| |intPatternMatch| + |solveLinear| |index| |roughBasicSet| |leftScalarTimes!| |setrest!| + |c06fqf| |hasTopPredicate?| |middle| |currentCategoryFrame| + |factorial| |setErrorBound| |numberOfComposites| |complexEigenvalues| + |OMgetString| |realElementary| |integralAtInfinity?| + |stoseSquareFreePart| |discriminant| |dilog| |point| + |nonSingularModel| |getMultiplicationTable| |sh| |separateFactors| + |clearTable!| |normal?| |palglimint0| |reduction| |mapSolve| |iisin| + |sin| |rootOfIrreduciblePoly| |search| |pair| |lllip| |s18aef| + |stoseInvertibleSet| |stop| |reify| |closedCurve?| |binary| + |reducedSystem| |cos| |s18def| |complete| |supRittWu?| |topPredicate| + |reduceByQuasiMonic| |\\/| |setProperties!| |resetNew| |intcompBasis| + |eulerE| |tan| |series| |d01gaf| |internalZeroSetSplit| |trigs| + |OMlistCDs| |continuedFraction| |showTheIFTable| |dmpToHdmp| |odd?| + |initiallyReduce| |cot| |edf2fi| |infinite?| |interpretString| |cCosh| + |quadraticForm| |measure2Result| |roughBase?| |ratDenom| + |inverseColeman| |sec| |leftUnits| |copy!| |OMconnectTCP| |e02zaf| + |toseSquareFreePart| |iCompose| |getRef| |sylvesterMatrix| |d01fcf| + |csc| |numer| |lfextendedint| |outputForm| |polygon| |sign| + |qinterval| |divide| |matrixGcd| |bivariateSLPEBR| |min| |asin| + |denom| |setnext!| |s14baf| |monicCompleteDecompose| |axes| + |primlimitedint| |s17adf| |ODESolve| |delay| |acos| |lowerCase?| + |stopMusserTrials| |weakBiRank| |iibinom| |c06gbf| |status| + |coordinate| |bumptab1| |df2ef| |printTypes| |atan| |unparse| |pi| + |message| |bivariate?| |semiDiscriminantEuclidean| + |algebraicDecompose| |fTable| |atrapezoidal| |adaptive3D?| |optional?| + |mindegTerm| |acot| |infinity| |rightTrim| |hcrf| |pseudoQuotient| + |intermediateResultsIF| |rst| |digits| |leadingSupport| + |iteratedInitials| |OMconnInDevice| |rubiksGroup| |asec| |obj| + |leftTrim| |presuper| |resultantEuclidean| |testModulus| |revert| + |replaceKthElement| |validExponential| |scopes| |ratDsolve| + |endSubProgram| |acsc| |plusInfinity| |cache| |purelyTranscendental?| + |triangSolve| |identification| |enterInCache| + |subResultantGcdEuclidean| |lowerPolynomial| |normalDeriv| |hconcat| + |square?| |sinh| |topFortranOutputStack| |minusInfinity| |e01sff| + |name| |curry| |extendIfCan| |exprHasAlgebraicWeight| + |permutationGroup| |setvalue!| |infix| |areEquivalent?| |cosh| |dom| + |setProperties| |parametric?| |readLineIfCan!| |makeViewport2D| + |startTable!| |label| |digamma| |addPointLast| |KrullNumber| |tableau| + |tanh| |kernel| |hspace| |zero?| |algint| |OMmakeConn| + |genericLeftTrace| |oblateSpheroidal| |makeFR| |iiasech| + |rightCharacteristicPolynomial| |coth| |draw| |constDsolve| + |principalIdeal| |root| |float?| |s17aff| |clearTheFTable| |equiv| + |pdf2ef| |genericRightTraceForm| |sech| |expenseOfEvaluationIF| + |doubleComplex?| |functionIsContinuousAtEndPoints| |s21bdf| + |functionIsFracPolynomial?| |positiveSolve| |exists?| |lyndonIfCan| + |algSplitSimple| |clipPointsDefault| |fill!| |parent| |top!| + |viewZoomDefault| |hdmpToP| |discriminantEuclidean| |eigenvector| + |moduleSum| |quotientByP| |conjugate| + |generalizedContinuumHypothesisAssumed?| |checkRur| + |characteristicPolynomial| |optAttributes| |title| |makeObject| |inc| + |generateIrredPoly| UTS2UP |failed?| |mdeg| |whileLoop| + |factorSFBRlcUnit| |hitherPlane| |keys| |primitiveElement| |e| + |antiAssociative?| |ScanFloatIgnoreSpaces| |aspFilename| + |rationalPower| |error| |has?| |getProperty| |createPrimitivePoly| + |graphImage| |coef| |f01bsf| |compose| |rischNormalize| |changeVar| + |d02gbf| |assert| |e02ajf| |s13aaf| |monomRDE| |maxColIndex| + |cartesian| |removeSuperfluousCases| |find| |quotedOperators| + |nextNormalPrimitivePoly| |rdregime| |chebyshevU| |s21bbf| |open?| + |setLabelValue| |c06ebf| |s17agf| |modifyPoint| |rightNorm| + |factorsOfDegree| |removeCoshSq| |solve1| |orOperands| |readable?| + |lowerCase| |extractProperty| |debug| |notOperand| + |expandTrigProducts| |singularAtInfinity?| + |generalizedContinuumHypothesisAssumed| |totalLex| |cycleRagits| + |option| |squareTop| |nullary?| |crest| |c06ecf| |overlabel| + |leastPower| |exponential| |nextPrimitiveNormalPoly| |enumerate| + |closedCurve| |unravel| |f01qcf| |squareFreePart| |coshIfCan| + |relationsIdeal| |more?| |powmod| |splitDenominator| |biRank| |node| + |numberOfHues| |physicalLength!| |systemSizeIF| |super| |hexDigit| + |polynomialZeros| |d03eef| |region| |lookup| |c02aff| |limitPlus| + |entry| |iflist2Result| |superscript| |numberOfFractionalTerms| |dec| + |OMputEndBVar| |postfix| |standardBasisOfCyclicSubmodule| + |fixedPointExquo| |kroneckerDelta| |taylor| |leadingIdeal| + |chineseRemainder| ** |sinhIfCan| |component| |lyndon| |polar| + |setchildren!| |realSolve| |laurent| |atoms| |cschIfCan| |float| + |basisOfCommutingElements| |spherical| |currentSubProgram| + |numericalOptimization| |pastel| |satisfy?| |puiseux| |df2fi| |pol| + |failed| |calcRanges| |roughSubIdeal?| EQ |getGraph| |LiePolyIfCan| + |useSingleFactorBound| |att2Result| |hclf| |countRealRoots| + |lSpaceBasis| |internalSubPolSet?| |iiabs| |lagrange| |iroot| + |notelem| |rootBound| |inv| |explogs2trigs| |andOperands| |lllp| + |getCurve| |setleft!| |epilogue| |extractBottom!| |normalise| + |csch2sinh| |ground?| |mathieu11| + |rewriteSetByReducingWithParticularGenerators| |lazyResidueClass| + |approximants| |OMsupportsCD?| |setref| |createPrimitiveNormalPoly| + |laguerre| |innerSolve1| |ground| |gramschmidt| + |basisOfRightAnnihilator| |ravel| |removeSuperfluousQuasiComponents| + |directory| |d01bbf| |iiacosh| |lfextlimint| |chiSquare| + |leadingMonomial| |RemainderList| |d02raf| |arrayStack| |An| + |branchPointAtInfinity?| |reshape| |s17acf| |trunc| |objectOf| + |leadingCoefficient| |maxPoints3D| |minPoints3D| |gradient| + |getMeasure| |findBinding| |elRow1!| |rquo| + |combineFeatureCompatibility| |primitiveMonomials| |ord| |rootSplit| + GE |autoReduced?| |sumOfSquares| |makeGraphImage| |diagonal?| + |reductum| |mapGen| |pushucoef| GT |sparsityIF| |anticoord| |c06fpf| + |OMsetEncoding| |outputFloating| |assign| |rank| + |genericLeftMinimalPolynomial| |resultantnaif| LE |leftUnit| |double?| + |and?| |Hausdorff| |normDeriv2| |f01qdf| |d02bhf| |euclideanGroebner| + |safeCeiling| LT |monic?| |split| |update| |sts2stst| |modulus| + |partialDenominators| |elementary| |move| |diagonalProduct| + |associative?| |completeSmith| |deepestInitial| |mainVariable| + |acotIfCan| |multiEuclidean| |matrixDimensions| |eq| |printHeader| + |external?| |rightTrace| |car| |graphs| |LazardQuotient2| + |characteristicSerie| |raisePolynomial| |drawComplex| + |patternMatchTimes| |iter| |pushuconst| |localReal?| |countable?| + |solveRetract| |cdr| |numberOfComputedEntries| |generic?| |OMclose| + |sort| |gcdcofactprim| |choosemon| |lieAdmissible?| |bitTruth| |tanNa| + |Nul| |numFunEvals3D| |iExquo| |setVariableOrder| |splitConstant| + |OMputString| |OMputObject| |child| |magnitude| |c06fuf| |tanQ| + |outlineRender| |preprocess| |eigenvalues| |algebraicCoefficients?| + |abelianGroup| |position| |allRootsOf| |numberOfOperations| |merge!| + |generic| |typeList| |parametersOf| |dmpToP| |composite| |li| + |retractable?| |aromberg| |complexForm| |normalizeAtInfinity| + |splitLinear| |powers| |characteristicSet| |random| |d01alf| + |characteristic| |inverseIntegralMatrixAtInfinity| |sPol| |makeSin| + |cRationalPower| |constant?| |factorSquareFree| |repeating| + |setLegalFortranSourceExtensions| |exp| |addPoint2| |d02ejf| + |dihedral| |ridHack1| |cycleElt| |credPol| |laurentRep| + |screenResolution| |updatD| |doubleFloatFormat| |primintegrate| + |augment| |plenaryPower| |minPol| |integers| |evaluate| |cothIfCan| + |baseRDEsys| |expintegrate| |composites| |clearFortranOutputStack| + |edf2efi| |cup| |linearAssociatedExp| |OMputApp| |makeCos| |dflist| + |fullDisplay| |e02agf| |beauzamyBound| |overlap| |e01sef| |rules| + |makingStats?| |mapExponents| |pile| |OMputEndObject| + |genericRightTrace| |subst| |enterPointData| |cyclicEqual?| + |oddInfiniteProduct| |rischDEsys| |inGroundField?| |duplicates| + |iisec| |hessian| |vedf2vef| |subResultantGcd| + |nextLatticePermutation| |radPoly| |putColorInfo| |primextendedint| + |insertionSort!| |OMlistSymbols| |groebnerFactorize| |fortranDouble| + |fibonacci| |datalist| |nextSubsetGray| |loopPoints| |d02bbf| + |leviCivitaSymbol| |unitsColorDefault| |iiatanh| |point?| |ode| |tab| + |lazyPseudoRemainder| |s17ahf| |lazyPremWithDefault| |implies| + |shallowCopy| |deref| |modularGcdPrimitive| |baseRDE| |changeName| + |e02bdf| |objects| |bernoulli| |cycleLength| |ignore?| |xor| |d01asf| + |extract!| |minordet| |f02xef| |f02akf| |base| |pushNewContour| + |inspect| |mantissa| |iiasinh| |karatsuba| |listLoops| + |cyclicSubmodule| |operators| |acoshIfCan| |ldf2lst| |leadingIndex| + |singleFactorBound| |lexTriangular| |double| |moreAlgebraic?| + |isobaric?| |GospersMethod| |mapCoef| |mulmod| |prefix| |ceiling| + |module| |univariatePolynomial| |ptFunc| |sin2csc| |e01bef| + |tryFunctionalDecomposition?| |OMreceive| |var1StepsDefault| + |derivative| |iitan| |ramified?| |convergents| |prevPrime| + |localUnquote| |OMopenString| |brace| |f04faf| |reseed| |listOfMonoms| + |expandPower| |lepol| |shiftRight| |commutative?| |mainVariable?| + |test| |numerators| |pomopo!| |linGenPos| |collectUpper| + |OMencodingSGML| |OMputEndError| |numberOfNormalPoly| |multiple?| + |derivationCoordinates| |nodes| |squareFreePrim| |tanh2coth| + |subMatrix| |newSubProgram| |polyRDE| |OMgetObject| |transcendent?| + |initializeGroupForWordProblem| |completeHensel| + |rewriteIdealWithHeadRemainder| |makeSUP| |stoseInvertible?sqfreg| + |asecIfCan| |iicos| |declare!| |cAsech| |boundOfCauchy| |yCoord| + |fprindINFO| |padecf| |youngGroup| |stoseInvertible?reg| |minus!| + |value| |normalDenom| |ddFact| |goodPoint| |rotatez| |cons| + |prolateSpheroidal| |cycleTail| |bumptab| |rationalApproximation| + |typeLists| |argument| |errorInfo| |integralBasisAtInfinity| + |createIrreduciblePoly| |infRittWu?| |cycle| |critMTonD1| |integer?| + |semiSubResultantGcdEuclidean2| |rightFactorCandidate| + |removeRoughlyRedundantFactorsInPol| |tracePowMod| |atom?| + |distribute| |heapSort| |gderiv| |internal?| |previous| |acothIfCan| + |s17def| |constantLeft| |testDim| |partialQuotients| |plus!| + |listOfLists| |subResultantChain| |dfRange| |drawStyle| |tree| + |negative?| |radix| |alternating| |f02ajf| |reducedQPowers| |#| + |coefficient| |nor| |zero| |iiexp| |internalSubQuasiComponent?| + |acscIfCan| |solveLinearPolynomialEquation| |lexGroebner| |omError| + |definingPolynomial| |c05pbf| |goto| |cSech| |denominators| + |simpleBounds?| |basisOfLeftAnnihilator| |lastSubResultantEuclidean| + |And| |factors| |plotPolar| |ParCond| |getSyntaxFormsFromFile| + |recolor| |setMinPoints| |headReduce| |Or| |char| |groebner?| |bsolve| + ^ |e04fdf| |showIntensityFunctions| |changeWeightLevel| |weights| + |lazyPrem| |SturmHabichtCoefficients| |Not| |sum| |adaptive?| + |deepExpand| |internalInfRittWu?| |rk4qc| |integrate| |scaleRoots| + |stopTableGcd!| |direction| |pseudoRemainder| |ReduceOrder| |iidsum| + |viewWriteAvailable| |symbol?| FG2F |curveColor| |lineColorDefault| + |hypergeometric0F1| |singular?| |integralMatrix| |aQuadratic| + |univariatePolynomialsGcds| |pmComplexintegrate| |hasoln| + |solveInField| |semiLastSubResultantEuclidean| |LyndonBasis| |s15aef| + |cCot| |traverse| |aQuartic| |rightZero| |s19adf| |supersub| + |writable?| |shiftRoots| |isTimes| |explicitlyEmpty?| + |numberOfImproperPartitions| |simplifyExp| |clearTheSymbolTable| + |simplifyLog| |addiag| |ode2| |denominator| |OMgetVariable| + |createGenericMatrix| |smith| |Zero| |dihedralGroup| |minimumDegree| + |space| |leftDivide| |singularitiesOf| |externalList| + |pointSizeDefault| |polyred| |semiResultantReduitEuclidean| |One| + |basisOfNucleus| |groebnerIdeal| |integralLastSubResultant| + |noKaratsuba| |insertRoot!| |generalizedEigenvectors| |cCsc| + |tanh2trigh| |complexExpand| |s19acf| |laurentIfCan| + |irreducibleRepresentation| |digit?| |comp| |dmp2rfi| |lhs| |sort!| + |adaptive| |isList| |OMgetApp| |s19abf| |eulerPhi| |getStream| |octon| + |rhs| |extractSplittingLeaf| |orthonormalBasis| |dark| + |nthFractionalTerm| |solve| |s21baf| |leftRemainder| |build| + |regularRepresentation| |s13adf| |uncouplingMatrices| |commutator| + |mapMatrixIfCan| |high| |OMwrite| |iicosh| |nlde| |next| |s18dcf| + |even?| |stFunc1| |constantOpIfCan| |insert!| |reducedForm| + |doubleResultant| |pop!| |indices| |qelt| |acosIfCan| |packageCall| + |e01bff| |e04gcf| |tRange| |simpsono| |messagePrint| |compBound| + |systemCommand| |rightGcd| |genericRightDiscriminant| |OMParseError?| + |constantToUnaryFunction| |semiIndiceSubResultantEuclidean| + |probablyZeroDim?| |dot| |SFunction| |fixPredicate| + |createNormalElement| |trigs2explogs| |intensity| |subset?| + |startTableInvSet!| |doublyTransitive?| |transform| |numberOfDivisors| + |queue| |colorFunction| |d02gaf| |gcdPolynomial| |cot2tan| |normal| + |generalLambert| |commaSeparate| |unrankImproperPartitions0| |wreath| + |leastAffineMultiple| |symmetricGroup| |e02akf| |cosSinInfo| + |mapUnivariateIfCan| |totalDegree| |diag| |removeDuplicates!| + |csc2sin| |antisymmetric?| |toseLastSubResultant| |rangeIsFinite| + |newReduc| |append| |invertibleSet| |roughEqualIdeals?| + |argumentList!| |torsionIfCan| |certainlySubVariety?| + |tubePointsDefault| |trueEqual| |c05adf| |indicialEquationAtInfinity| + |quasiAlgebraicSet| |s20adf| |setCondition!| |decimal| NOT |tanSum| + |orbit| |delete| |nthFactor| |linear?| |makeViewport3D| + |simplifyPower| |isOp| |Vectorise| |compactFraction| + |halfExtendedResultant2| |subQuasiComponent?| OR |nthCoef| |members| + |iisech| |euclideanSize| |represents| |cLog| |setAttributeButtonStep| + |positiveRemainder| |internalAugment| |antiCommutator| |xCoord| AND + |generalPosition| |jacobian| |f04atf| |OMUnknownSymbol?| |symFunc| + |algebraic?| |groebgen| |c06frf| |karatsubaDivide| |realEigenvectors| + |tan2cot| |bezoutResultant| |permutations| |se2rfi| |OMputInteger| + |arity| |univariateSolve| |radicalEigenvector| |yCoordinates| + |normal01| |f02adf| |errorKind| |updateStatus!| |substring?| + |exprHasLogarithmicWeights| |reduced?| |pointColor| |getMatch| + |e02def| |mesh?| |totalGroebner| |maxrank| |conjug| |nil?| + |radicalEigenvalues| |squareMatrix| |myDegree| |showAllElements| + |Frobenius| |OMconnOutDevice| |remainder| |subNodeOf?| |removeCosSq| + |bezoutMatrix| |invertibleElseSplit?| |matrixConcat3D| |addPoint| + |branchIfCan| |suffix?| |outputSpacing| |listBranches| |shade| + |distance| |remove!| |zeroSetSplit| |option?| + |zeroSetSplitIntoTriangularSystems| |binarySearchTree| |bringDown| + |mainForm| |cyclicParents| |monomial?| |leftRegularRepresentation| + |safetyMargin| |outputAsScript| |repeating?| |putGraph| |var2Steps| + |outputFixed| |getCode| |numberOfChildren| |conditionP| |prefix?| + |xRange| |minGbasis| |numberOfCycles| |s13acf| |coordinates| + |lazyPseudoQuotient| |weighted| |iiacoth| |init| |incrementKthElement| + |charthRoot| |lastSubResultantElseSplit| |PollardSmallFactor| + |semiResultantEuclideannaif| |yRange| |bit?| |algebraicOf| |tValues| + |stronglyReduced?| |restorePrecision| |selectPolynomials| |rightOne| + |parabolicCylindrical| |f01brf| |bubbleSort!| + |cyclotomicDecomposition| |rotate!| |zRange| |subscriptedVariables| + |primes| |curveColorPalette| |graphStates| |Ei| |setlast!| |rootPoly| + |lintgcd| |createNormalPoly| |lists| |rightUnits| |rowEchelonLocal| + |f02wef| |tail| |parts| |logpart| |map!| * |basisOfCentroid| |rename!| + |setColumn!| |normFactors| |f04jgf| |idealSimplify| |besselI| + |particularSolution| |linearAssociatedOrder| |lift| |e01daf| |Is| + |complexEigenvectors| |iFTable| |qsetelt!| |OMgetFloat| + |symmetricSquare| |powern| |sequences| |rCoord| |cyclicGroup| + |flatten| |normalForm| |simplify| |reduce| |f02aef| |legendreP| + |tubeRadius| |multisect| |shanksDiscLogAlgorithm| |mightHaveRoots| + |separant| |createPrimitiveElement| |f2df| |lifting| |color| + |monicModulo| |fortranDoubleComplex| |constantRight| |mvar| + |leftQuotient| |infix?| |stopTable!| |yellow| |iiasin| |operator| + |compdegd| |withPredicates| |realZeros| |complement| |deleteProperty!| + |UP2ifCan| |rightTraceMatrix| |frst| |mask| |stoseInvertibleSetsqfreg| + |doubleRank| |integralCoordinates| |approximate| |mapmult| |pToHdmp| + |crushedSet| |routines| |integralMatrixAtInfinity| |quatern| + |multiset| |coHeight| |log2| |f04maf| |complex| |expenseOfEvaluation| + |normalizedAssociate| |HenselLift| |varselect| |head| + |LowTriBddDenomInv| |algintegrate| |extendedint| |chainSubResultants| + |rspace| |deriv| |OMgetAtp| |mr| |acsch| |quasiMonic?| |cExp| + |rightPower| |tanAn| |setEpilogue!| |resetBadValues| + |selectPDERoutines| |primitivePart| |removeSinhSq| |safeFloor| + |leftMult| |mat| |possiblyInfinite?| |isMult| |divideIfCan!| + |quadraticNorm| |collectQuasiMonic| |cAsinh| |reset| |ParCondList| + |e02ddf| |stFuncN| |e01saf| |mainCharacterization| |droot| + |primaryDecomp| |symmetricRemainder| |triangularSystems| |nonQsign| + |binaryFunction| |solveLinearPolynomialEquationByRecursion| + |skewSFunction| |outerProduct| |e04naf| |zCoord| |Aleph| + |explicitEntries?| |zerosOf| |stronglyReduce| |leftAlternative?| + |rightScalarTimes!| |OMgetEndObject| |setStatus| |connect| |write| + |sample| |leftGcd| |bat| |rk4| |radicalSimplify| |green| |push| + |iomode| |changeThreshhold| |stack| |deleteRoutine!| |B1solve| + |lighting| |save| |indiceSubResultant| |someBasis| |antiCommutative?| + |rightRankPolynomial| |printCode| |meshPar1Var| |currentEnv| + |absolutelyIrreducible?| |extractIfCan| |rightRegularRepresentation| + |approxNthRoot| |squareFreeLexTriangular| |OMgetType| |qfactor| + |order| |OMcloseConn| |or| |fractRagits| |largest| |reverseLex| + |SturmHabicht| |predicate| |logGamma| |impliesOperands| + |genericLeftDiscriminant| |trapezoidalo| |f04mcf| |prepareSubResAlgo| + |toScale| |setStatus!| |seriesToOutputForm| |and| |leftTrace| + |showClipRegion| |insertMatch| |taylorRep| |factorFraction| + |radicalRoots| |subPolSet?| |aCubic| |setOrder| |ratpart| |pack!| + |empty?| |quadratic?| |shallowExpand| |OMgetEndAtp| |startTableGcd!| + |setButtonValue| |leftTraceMatrix| |sechIfCan| |setClosed| |clip| + |hasSolution?| |sorted?| |f02agf| |sin?| |expPot| |colorDef| + |OMencodingBinary| LODO2FUN |unit| |stoseInternalLastSubResultant| + |lp| |monomial| |wholePart| |stiffnessAndStabilityFactor| |iicsch| + |factor1| |variable?| F |doubleDisc| |btwFact| |rroot| |algDsolve| + |cfirst| |stirling1| |selectOptimizationRoutines| |primitivePart!| + |expIfCan| |rational| |setsubMatrix!| |associatedSystem| + |zeroDimensional?| |f01ref| |ocf2ocdf| |semiSubResultantGcdEuclidean1| + |var1Steps| |swap| |seriesSolve| |multivariate| |isQuotient| + |collectUnder| |OMputAttr| |subscript| |showArrayValues| |ratPoly| + |rationalPoint?| |arg1| |f01rcf| |karatsubaOnce| |integerBound| + |bandedJacobian| |createZechTable| |countRealRootsMultiple| + |internalIntegrate0| |variables| |sub| |reducedDiscriminant| + |exponentialOrder| |s17dhf| |ramifiedAtInfinity?| |alphanumeric| |sn| + |arg2| |goodnessOfFit| |slash| |multinomial| + |createMultiplicationMatrix| |associatorDependence| |ksec| |linears| + |varList| GF2FG |exptMod| |radicalEigenvectors| |pushdown| + |fortranTypeOf| |coerceListOfPairs| |f07fdf| |subTriSet?| + |getZechTable| |cSec| |leftMinimalPolynomial| |variationOfParameters| + |outputGeneral| |e02bef| |horizConcat| |coefficients| |e02bbf| + |numerator| |complexSolve| |binaryTree| |fmecg| |squareFreePolynomial| + |conditions| |unitVector| |fractionPart| |cyclicEntries| |linearPart| + |light| |logIfCan| |quasiRegular| |qroot| |points| |jordanAdmissible?| + |unvectorise| |mapDown!| |factorSquareFreePolynomial| |freeOf?| + |block| |returns| |inverseIntegralMatrix| |updatF| |match| + |palginfieldint| |halfExtendedSubResultantGcd1| |hash| |sinh2csch| + |e02gaf| |determinant| |height| |mesh| |imagj| |back| |zoom| + |permutation| |changeNameToObjf| |nilFactor| |f02awf| |every?| + |concat| |s19aaf| |argumentListOf| |count| |extendedIntegrate| + |sizePascalTriangle| |curve| |hasHi| |ListOfTerms| |sumOfDivisors| + |mainValue| |rewriteIdealWithRemainder| |setleaves!| |operation| + |d02cjf| |primPartElseUnitCanonical!| |mainCoefficients| + |binaryTournament| |red| |makeSketch| |upperCase!| |knownInfBasis| + |separateDegrees| |companionBlocks| |ScanArabic| + |transcendentalDecompose| |localIntegralBasis| |integralRepresents| + |outputAsTex| |delete!| |limitedint| |rdHack1| |dAndcExp| |interval| + |basisOfLeftNucloid| |showTypeInOutput| |OMsend| |getGoodPrime| + |pushup| |userOrdered?| |makeFloatFunction| |e02daf| |rootProduct| + |s17dcf| |rootKerSimp| |mindeg| |critBonD| |graphState| |bombieriNorm| + |s17aef| |createMultiplicationTable| |intChoose| |lieAlgebra?| + |d02kef| |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 d08c4dcb..e53db007 100644 --- a/src/share/algebra/interp.daase +++ b/src/share/algebra/interp.daase @@ -1,4879 +1,4879 @@ -(3135855 . 3409757265) -((-4128 (((-108) (-1 (-108) |#2| |#2|) $) 63) (((-108) $) NIL)) (-2598 (($ (-1 (-108) |#2| |#2|) $) 17) (($ $) NIL)) (-2395 ((|#2| $ (-520) |#2|) NIL) ((|#2| $ (-1131 (-520)) |#2|) 34)) (-1805 (($ $) 59)) (-3856 ((|#2| (-1 |#2| |#2| |#2|) $ |#2| |#2|) 41) ((|#2| (-1 |#2| |#2| |#2|) $ |#2|) 38) ((|#2| (-1 |#2| |#2| |#2|) $) 37)) (-3238 (((-520) (-1 (-108) |#2|) $) 22) (((-520) |#2| $) NIL) (((-520) |#2| $ (-520)) 71)) (-3824 (((-586 |#2|) $) 13)) (-3478 (($ (-1 (-108) |#2| |#2|) $ $) 48) (($ $ $) NIL)) (-3830 (($ (-1 |#2| |#2|) $) 29)) (-1392 (($ (-1 |#2| |#2|) $) NIL) (($ (-1 |#2| |#2| |#2|) $ $) 45)) (-1693 (($ |#2| $ (-520)) NIL) (($ $ $ (-520)) 50)) (-2892 (((-3 |#2| "failed") (-1 (-108) |#2|) $) 24)) (-2787 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T) ((-424) -3700 (|has| |#1| (-322)) (|has| |#1| (-336)) (|has| |#1| (-281))) ((-461) |has| |#1| (-1104)) ((-481 (-1083) |#1|) |has| |#1| (-481 (-1083) |#1|)) ((-481 |#1| |#1|) |has| |#1| (-283 |#1|)) ((-512) -3700 (|has| |#1| (-512)) (|has| |#1| (-322)) (|has| |#1| (-336)) (|has| |#1| (-281))) ((-588 #0#) -3700 (|has| |#1| (-322)) (|has| |#1| (-336))) ((-588 |#1|) . T) ((-588 $) . T) ((-582 (-520)) |has| |#1| (-582 (-520))) ((-582 |#1|) . T) ((-653 #0#) -3700 (|has| |#1| (-322)) (|has| |#1| (-336))) ((-653 |#1|) . T) ((-653 $) -3700 (|has| |#1| (-512)) (|has| |#1| (-322)) (|has| |#1| (-336)) (|has| |#1| (-281))) ((-660 |#1| #1#) . T) ((-662) . T) ((-783) |has| |#1| (-783)) ((-828 (-1083)) |has| |#1| (-828 (-1083))) ((-814 (-352)) |has| |#1| (-814 (-352))) ((-814 (-520)) |has| |#1| (-814 (-520))) ((-812 |#1|) . T) ((-837) -12 (|has| |#1| (-281)) (|has| |#1| (-837))) ((-848) -3700 (|has| |#1| (-322)) (|has| |#1| (-336)) (|has| |#1| (-281))) ((-926) -12 (|has| |#1| (-926)) (|has| |#1| (-1104))) ((-960 (-380 (-520))) |has| |#1| (-960 (-380 (-520)))) ((-960 (-520)) |has| |#1| (-960 (-520))) ((-960 |#1|) . T) ((-975 #0#) -3700 (|has| |#1| (-322)) (|has| |#1| (-336))) ((-975 |#1|) . T) ((-975 $) . T) ((-969) . T) ((-976) . T) ((-1024) . T) ((-1012) . T) ((-1059) |has| |#1| (-322)) ((-1104) |has| |#1| (-1104)) ((-1107) |has| |#1| (-1104)) ((-1118) . 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T) ((-481 |#2| |#2|) -12 (|has| |#2| (-283 |#2|)) (|has| |#2| (-1012))) ((-588 |#2|) -3700 (|has| |#2| (-969)) (|has| |#2| (-336)) (|has| |#2| (-157))) ((-588 $) -3700 (|has| |#2| (-969)) (|has| |#2| (-781)) (|has| |#2| (-157))) ((-582 (-520)) -12 (|has| |#2| (-582 (-520))) (|has| |#2| (-969))) ((-582 |#2|) |has| |#2| (-969)) ((-653 |#2|) -3700 (|has| |#2| (-336)) (|has| |#2| (-157))) ((-662) -3700 (|has| |#2| (-969)) (|has| |#2| (-781)) (|has| |#2| (-157))) ((-726) |has| |#2| (-781)) ((-727) -3700 (|has| |#2| (-781)) (|has| |#2| (-728))) ((-728) |has| |#2| (-728)) ((-729) -3700 (|has| |#2| (-781)) (|has| |#2| (-728))) ((-731) -3700 (|has| |#2| (-781)) (|has| |#2| (-728))) ((-781) |has| |#2| (-781)) ((-783) -3700 (|has| |#2| (-781)) (|has| |#2| (-728))) ((-828 (-1083)) -12 (|has| |#2| (-828 (-1083))) (|has| |#2| (-969))) ((-960 (-380 (-520))) -12 (|has| |#2| (-960 (-380 (-520)))) (|has| |#2| (-1012))) ((-960 (-520)) -12 (|has| |#2| (-960 (-520))) (|has| |#2| (-1012))) ((-960 |#2|) |has| |#2| (-1012)) ((-975 |#2|) -3700 (|has| |#2| (-969)) (|has| |#2| (-336)) (|has| |#2| (-157))) ((-975 $) |has| |#2| (-157)) ((-969) -3700 (|has| |#2| (-969)) (|has| |#2| (-781)) (|has| |#2| (-157))) ((-976) -3700 (|has| |#2| (-969)) (|has| |#2| (-781)) (|has| |#2| (-157))) ((-1024) -3700 (|has| |#2| (-969)) (|has| |#2| (-781)) (|has| |#2| (-157))) ((-1012) -3700 (|has| |#2| (-1012)) (|has| |#2| (-969)) (|has| |#2| (-781)) (|has| |#2| (-728)) (|has| |#2| (-341)) (|has| |#2| (-336)) (|has| |#2| (-157)) (|has| |#2| (-124)) (|has| |#2| (-25))) ((-1118) . T) ((-1171 |#2|) |has| |#2| (-336))) -((-2130 (((-216 |#1| |#3|) (-1 |#3| |#2| |#3|) (-216 |#1| |#2|) |#3|) 21)) (-3856 ((|#3| (-1 |#3| |#2| |#3|) (-216 |#1| |#2|) |#3|) 23)) (-1392 (((-216 |#1| |#3|) (-1 |#3| |#2|) (-216 |#1| |#2|)) 18))) -(((-215 |#1| |#2| |#3|) (-10 -7 (-15 -2130 ((-216 |#1| |#3|) (-1 |#3| |#2| |#3|) (-216 |#1| |#2|) |#3|)) (-15 -3856 (|#3| (-1 |#3| |#2| |#3|) (-216 |#1| |#2|) |#3|)) (-15 -1392 ((-216 |#1| |#3|) (-1 |#3| |#2|) (-216 |#1| |#2|)))) (-706) (-1118) (-1118)) (T -215)) -((-1392 (*1 *2 *3 *4) (-12 (-5 *3 (-1 *7 *6)) (-5 *4 (-216 *5 *6)) (-14 *5 (-706)) (-4 *6 (-1118)) (-4 *7 (-1118)) (-5 *2 (-216 *5 *7)) (-5 *1 (-215 *5 *6 *7)))) (-3856 (*1 *2 *3 *4 *2) (-12 (-5 *3 (-1 *2 *6 *2)) (-5 *4 (-216 *5 *6)) (-14 *5 (-706)) (-4 *6 (-1118)) (-4 *2 (-1118)) (-5 *1 (-215 *5 *6 *2)))) (-2130 (*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 *5 *7 *5)) (-5 *4 (-216 *6 *7)) (-14 *6 (-706)) (-4 *7 (-1118)) (-4 *5 (-1118)) (-5 *2 (-216 *6 *5)) (-5 *1 (-215 *6 *7 *5))))) -(-10 -7 (-15 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T) ((-582 (-520)) |has| |#1| (-582 (-520))) ((-582 |#1|) . T) ((-653 #0#) |has| |#1| (-37 (-380 (-520)))) ((-653 |#1|) |has| |#1| (-157)) ((-653 $) -3700 (|has| |#1| (-837)) (|has| |#1| (-512)) (|has| |#1| (-424))) ((-662) . T) ((-783) |has| |#1| (-783)) ((-828 |#3|) . T) ((-814 (-352)) -12 (|has| |#1| (-814 (-352))) (|has| |#3| (-814 (-352)))) ((-814 (-520)) -12 (|has| |#1| (-814 (-520))) (|has| |#3| (-814 (-520)))) ((-877 |#1| |#2| |#3|) . T) ((-837) |has| |#1| (-837)) ((-960 (-380 (-520))) |has| |#1| (-960 (-380 (-520)))) ((-960 (-520)) |has| |#1| (-960 (-520))) ((-960 |#1|) . T) ((-960 |#3|) . T) ((-975 #0#) |has| |#1| (-37 (-380 (-520)))) ((-975 |#1|) . T) ((-975 $) -3700 (|has| |#1| (-837)) (|has| |#1| (-512)) (|has| |#1| (-424)) (|has| |#1| (-157))) ((-969) . T) ((-976) . T) ((-1024) . T) ((-1012) . 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SUPFRACF (NIL T T T T) -7 NIL NIL) (-1077 2736987 2737046 2737157 "SUP2" 2737297 NIL SUP2 (NIL T T) -7 NIL NIL) (-1076 2735405 2735679 2736041 "SUMRF" 2736686 NIL SUMRF (NIL T) -7 NIL NIL) (-1075 2734722 2734788 2734986 "SUMFS" 2735326 NIL SUMFS (NIL T T) -7 NIL NIL) (-1074 2718661 2733903 2734153 "SULS" 2734529 NIL SULS (NIL T NIL NIL) -8 NIL NIL) (-1073 2717983 2718186 2718326 "SUCH" 2718569 NIL SUCH (NIL T T) -8 NIL NIL) (-1072 2711910 2712922 2713880 "SUBSPACE" 2717071 NIL SUBSPACE (NIL NIL T) -8 NIL NIL) (-1071 2711340 2711430 2711594 "SUBRESP" 2711798 NIL SUBRESP (NIL T T) -7 NIL NIL) (-1070 2704709 2706005 2707316 "STTF" 2710076 NIL STTF (NIL T) -7 NIL NIL) (-1069 2698882 2700002 2701149 "STTFNC" 2703609 NIL STTFNC (NIL T) -7 NIL NIL) (-1068 2690233 2692100 2693893 "STTAYLOR" 2697123 NIL STTAYLOR (NIL T) -7 NIL NIL) (-1067 2683477 2690097 2690180 "STRTBL" 2690185 NIL STRTBL (NIL T) -8 NIL NIL) (-1066 2678868 2683432 2683463 "STRING" 2683468 T STRING (NIL) -8 NIL NIL) (-1065 2673756 2678241 2678272 "STRICAT" 2678331 T STRICAT (NIL) -9 NIL 2678393) (-1064 2666472 2671279 2671899 "STREAM" 2673171 NIL STREAM (NIL T) -8 NIL NIL) (-1063 2665982 2666059 2666203 "STREAM3" 2666389 NIL STREAM3 (NIL T T T) -7 NIL NIL) (-1062 2664964 2665147 2665382 "STREAM2" 2665795 NIL STREAM2 (NIL T T) -7 NIL NIL) (-1061 2664652 2664704 2664797 "STREAM1" 2664906 NIL STREAM1 (NIL T) -7 NIL NIL) (-1060 2663668 2663849 2664080 "STINPROD" 2664468 NIL STINPROD (NIL T) -7 NIL NIL) (-1059 2663246 2663430 2663461 "STEP" 2663541 T STEP (NIL) -9 NIL 2663619) (-1058 2656789 2663145 2663222 "STBL" 2663227 NIL STBL (NIL T T NIL) -8 NIL NIL) (-1057 2651964 2656011 2656055 "STAGG" 2656208 NIL STAGG (NIL T) -9 NIL 2656297) (-1056 2649666 2650268 2651140 "STAGG-" 2651145 NIL STAGG- (NIL T T) -8 NIL NIL) (-1055 2647861 2649436 2649528 "STACK" 2649609 NIL STACK (NIL T) -8 NIL NIL) (-1054 2640592 2646008 2646463 "SREGSET" 2647491 NIL SREGSET (NIL T T T T) -8 NIL NIL) (-1053 2633032 2634400 2635912 "SRDCMPK" 2639198 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL) (-1052 2625999 2630472 2630503 "SRAGG" 2631806 T SRAGG (NIL) -9 NIL 2632414) (-1051 2625016 2625271 2625650 "SRAGG-" 2625655 NIL SRAGG- (NIL T) -8 NIL NIL) (-1050 2619465 2623935 2624362 "SQMATRIX" 2624635 NIL SQMATRIX (NIL NIL T) -8 NIL NIL) (-1049 2613217 2616185 2616911 "SPLTREE" 2618811 NIL SPLTREE (NIL T T) -8 NIL NIL) (-1048 2609207 2609873 2610519 "SPLNODE" 2612643 NIL SPLNODE (NIL T T) -8 NIL NIL) (-1047 2608253 2608486 2608517 "SPFCAT" 2608961 T SPFCAT (NIL) -9 NIL NIL) (-1046 2606990 2607200 2607464 "SPECOUT" 2608011 T SPECOUT (NIL) -7 NIL NIL) (-1045 2606751 2606791 2606860 "SPADPRSR" 2606943 T SPADPRSR (NIL) -7 NIL NIL) (-1044 2598773 2600520 2600563 "SPACEC" 2604886 NIL SPACEC (NIL T) -9 NIL 2606702) (-1043 2596945 2598706 2598754 "SPACE3" 2598759 NIL SPACE3 (NIL T) -8 NIL NIL) (-1042 2595697 2595868 2596159 "SORTPAK" 2596750 NIL SORTPAK (NIL T T) -7 NIL NIL) (-1041 2593753 2594056 2594474 "SOLVETRA" 2595361 NIL SOLVETRA (NIL T) -7 NIL NIL) (-1040 2592764 2592986 2593260 "SOLVESER" 2593526 NIL SOLVESER (NIL T) -7 NIL NIL) (-1039 2587984 2588865 2589867 "SOLVERAD" 2591816 NIL SOLVERAD (NIL T) -7 NIL NIL) (-1038 2583799 2584408 2585137 "SOLVEFOR" 2587351 NIL SOLVEFOR (NIL T T) -7 NIL NIL) (-1037 2578098 2583150 2583247 "SNTSCAT" 2583252 NIL SNTSCAT (NIL T T T T) -9 NIL 2583322) (-1036 2572203 2576429 2576819 "SMTS" 2577788 NIL SMTS (NIL T T T) -8 NIL NIL) (-1035 2566614 2572092 2572168 "SMP" 2572173 NIL SMP (NIL T T) -8 NIL NIL) (-1034 2564773 2565074 2565472 "SMITH" 2566311 NIL SMITH (NIL T T T T) -7 NIL NIL) (-1033 2557737 2561933 2562036 "SMATCAT" 2563376 NIL SMATCAT (NIL NIL T T T) -9 NIL 2563925) (-1032 2554678 2555501 2556678 "SMATCAT-" 2556683 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL) (-1031 2552391 2553914 2553958 "SKAGG" 2554219 NIL SKAGG (NIL T) -9 NIL 2554354) (-1030 2548449 2551495 2551773 "SINT" 2552135 T SINT (NIL) -8 NIL NIL) (-1029 2548221 2548259 2548325 "SIMPAN" 2548405 T SIMPAN (NIL) -7 NIL NIL) (-1028 2547059 2547280 2547555 "SIGNRF" 2547980 NIL SIGNRF (NIL T) -7 NIL NIL) (-1027 2545868 2546019 2546309 "SIGNEF" 2546888 NIL SIGNEF (NIL T T) -7 NIL NIL) (-1026 2543558 2544012 2544518 "SHP" 2545409 NIL SHP (NIL T NIL) -7 NIL NIL) (-1025 2537411 2543459 2543535 "SHDP" 2543540 NIL SHDP (NIL NIL NIL T) -8 NIL NIL) (-1024 2536900 2537092 2537123 "SGROUP" 2537275 T SGROUP (NIL) -9 NIL 2537362) (-1023 2536670 2536722 2536826 "SGROUP-" 2536831 NIL SGROUP- (NIL T) -8 NIL NIL) (-1022 2533506 2534203 2534926 "SGCF" 2535969 T SGCF (NIL) -7 NIL NIL) (-1021 2527904 2532956 2533053 "SFRTCAT" 2533058 NIL SFRTCAT (NIL T T T T) -9 NIL 2533096) (-1020 2521364 2522379 2523513 "SFRGCD" 2526887 NIL SFRGCD (NIL T T T T T) -7 NIL NIL) (-1019 2514530 2515601 2516785 "SFQCMPK" 2520297 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL) (-1018 2514152 2514241 2514351 "SFORT" 2514471 NIL SFORT (NIL T T) -8 NIL NIL) (-1017 2513297 2513992 2514113 "SEXOF" 2514118 NIL SEXOF (NIL T T T T T) -8 NIL NIL) (-1016 2512431 2513178 2513246 "SEX" 2513251 T SEX (NIL) -8 NIL NIL) (-1015 2507207 2507896 2507992 "SEXCAT" 2511763 NIL SEXCAT (NIL T T T T T) -9 NIL 2512382) (-1014 2504387 2507141 2507189 "SET" 2507194 NIL SET (NIL T) -8 NIL NIL) (-1013 2502638 2503100 2503405 "SETMN" 2504128 NIL SETMN (NIL NIL NIL) -8 NIL NIL) (-1012 2502245 2502371 2502402 "SETCAT" 2502519 T SETCAT (NIL) -9 NIL 2502603) (-1011 2502025 2502077 2502176 "SETCAT-" 2502181 NIL SETCAT- (NIL T) -8 NIL NIL) (-1010 2498412 2500486 2500530 "SETAGG" 2501400 NIL SETAGG (NIL T) -9 NIL 2501740) (-1009 2497870 2497986 2498223 "SETAGG-" 2498228 NIL SETAGG- (NIL T T) -8 NIL NIL) (-1008 2497073 2497366 2497428 "SEGXCAT" 2497714 NIL SEGXCAT (NIL T T) -9 NIL 2497834) (-1007 2496129 2496739 2496921 "SEG" 2496926 NIL SEG (NIL T) -8 NIL NIL) (-1006 2495035 2495248 2495292 "SEGCAT" 2495874 NIL SEGCAT (NIL T) -9 NIL 2496112) (-1005 2494084 2494414 2494614 "SEGBIND" 2494870 NIL SEGBIND (NIL T) -8 NIL NIL) (-1004 2493705 2493764 2493877 "SEGBIND2" 2494019 NIL SEGBIND2 (NIL T T) -7 NIL NIL) (-1003 2492924 2493050 2493254 "SEG2" 2493549 NIL SEG2 (NIL T T) -7 NIL NIL) (-1002 2492361 2492859 2492906 "SDVAR" 2492911 NIL SDVAR (NIL T) -8 NIL NIL) (-1001 2484613 2492134 2492262 "SDPOL" 2492267 NIL SDPOL (NIL T) -8 NIL NIL) (-1000 2483206 2483472 2483791 "SCPKG" 2484328 NIL SCPKG (NIL T) -7 NIL NIL) (-999 2482351 2482530 2482728 "SCOPE" 2483028 T SCOPE (NIL) -8 NIL NIL) (-998 2481578 2481711 2481888 "SCACHE" 2482206 NIL SCACHE (NIL T) -7 NIL NIL) (-997 2481021 2481342 2481425 "SAOS" 2481515 T SAOS (NIL) -8 NIL NIL) (-996 2480589 2480624 2480795 "SAERFFC" 2480980 NIL SAERFFC (NIL T T T) -7 NIL NIL) (-995 2474485 2480488 2480566 "SAE" 2480571 NIL SAE (NIL T T NIL) -8 NIL NIL) (-994 2474081 2474116 2474273 "SAEFACT" 2474444 NIL SAEFACT (NIL T T T) -7 NIL NIL) (-993 2472407 2472721 2473120 "RURPK" 2473747 NIL RURPK (NIL T NIL) -7 NIL NIL) (-992 2471060 2471337 2471644 "RULESET" 2472243 NIL RULESET (NIL T T T) -8 NIL NIL) (-991 2468268 2468771 2469232 "RULE" 2470742 NIL RULE (NIL T T T) -8 NIL NIL) (-990 2467910 2468065 2468146 "RULECOLD" 2468220 NIL RULECOLD (NIL NIL) -8 NIL NIL) (-989 2462802 2463596 2464512 "RSETGCD" 2467109 NIL RSETGCD (NIL T T T T T) -7 NIL NIL) (-988 2452116 2457168 2457263 "RSETCAT" 2461328 NIL RSETCAT (NIL T T T T) -9 NIL 2462425) (-987 2450047 2450586 2451406 "RSETCAT-" 2451411 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL) (-986 2442477 2443852 2445368 "RSDCMPK" 2448646 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL) (-985 2440494 2440935 2441008 "RRCC" 2442084 NIL RRCC (NIL T T) -9 NIL 2442428) (-984 2439848 2440022 2440298 "RRCC-" 2440303 NIL RRCC- (NIL T T T) -8 NIL NIL) (-983 2414214 2423839 2423904 "RPOLCAT" 2434406 NIL RPOLCAT (NIL T T T) -9 NIL 2437564) (-982 2405718 2408056 2411174 "RPOLCAT-" 2411179 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL) (-981 2396784 2403948 2404428 "ROUTINE" 2405258 T ROUTINE (NIL) -8 NIL NIL) (-980 2393489 2396340 2396487 "ROMAN" 2396657 T ROMAN (NIL) -8 NIL NIL) (-979 2391775 2392360 2392617 "ROIRC" 2393295 NIL ROIRC (NIL T T) -8 NIL NIL) (-978 2388179 2390483 2390512 "RNS" 2390808 T RNS (NIL) -9 NIL 2391078) (-977 2386693 2387076 2387607 "RNS-" 2387680 NIL RNS- (NIL T) -8 NIL NIL) (-976 2386118 2386526 2386555 "RNG" 2386560 T RNG (NIL) -9 NIL 2386581) (-975 2385515 2385877 2385918 "RMODULE" 2385978 NIL RMODULE (NIL T) -9 NIL 2386020) (-974 2384367 2384461 2384791 "RMCAT2" 2385416 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL) (-973 2381081 2383550 2383871 "RMATRIX" 2384102 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL) (-972 2374077 2376311 2376424 "RMATCAT" 2379733 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2380715) (-971 2373456 2373603 2373906 "RMATCAT-" 2373911 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL) (-970 2373026 2373101 2373227 "RINTERP" 2373375 NIL RINTERP (NIL NIL T) -7 NIL NIL) (-969 2372076 2372640 2372669 "RING" 2372779 T RING (NIL) -9 NIL 2372873) (-968 2371871 2371915 2372009 "RING-" 2372014 NIL RING- (NIL T) -8 NIL NIL) (-967 2370719 2370956 2371212 "RIDIST" 2371635 T RIDIST (NIL) -7 NIL NIL) (-966 2362041 2370193 2370396 "RGCHAIN" 2370568 NIL RGCHAIN (NIL T NIL) -8 NIL NIL) (-965 2359046 2359660 2360328 "RF" 2361405 NIL RF (NIL T) -7 NIL NIL) (-964 2358695 2358758 2358859 "RFFACTOR" 2358977 NIL RFFACTOR (NIL T) -7 NIL NIL) (-963 2358423 2358458 2358553 "RFFACT" 2358654 NIL RFFACT (NIL T) -7 NIL NIL) (-962 2356553 2356917 2357297 "RFDIST" 2358063 T RFDIST (NIL) -7 NIL NIL) (-961 2356011 2356103 2356263 "RETSOL" 2356455 NIL RETSOL (NIL T T) -7 NIL NIL) (-960 2355603 2355683 2355725 "RETRACT" 2355915 NIL RETRACT (NIL T) -9 NIL NIL) (-959 2355455 2355480 2355564 "RETRACT-" 2355569 NIL RETRACT- (NIL T T) -8 NIL NIL) (-958 2348313 2355112 2355237 "RESULT" 2355350 T RESULT (NIL) -8 NIL NIL) (-957 2346898 2347587 2347784 "RESRING" 2348216 NIL RESRING (NIL T T T T NIL) -8 NIL NIL) (-956 2346538 2346587 2346683 "RESLATC" 2346835 NIL RESLATC (NIL T) -7 NIL NIL) (-955 2346247 2346281 2346386 "REPSQ" 2346497 NIL REPSQ (NIL T) -7 NIL NIL) (-954 2343678 2344258 2344858 "REP" 2345667 T REP (NIL) -7 NIL NIL) (-953 2343379 2343413 2343522 "REPDB" 2343637 NIL REPDB (NIL T) -7 NIL NIL) (-952 2337324 2338703 2339923 "REP2" 2342191 NIL REP2 (NIL T) -7 NIL NIL) (-951 2333730 2334411 2335216 "REP1" 2336551 NIL REP1 (NIL T) -7 NIL NIL) (-950 2326476 2331891 2332343 "REGSET" 2333361 NIL REGSET (NIL T T T T) -8 NIL NIL) (-949 2325297 2325632 2325880 "REF" 2326261 NIL REF (NIL T) -8 NIL NIL) (-948 2324678 2324781 2324946 "REDORDER" 2325181 NIL REDORDER (NIL T T) -7 NIL NIL) (-947 2320647 2323912 2324133 "RECLOS" 2324509 NIL RECLOS (NIL T) -8 NIL NIL) (-946 2319704 2319885 2320098 "REALSOLV" 2320454 T REALSOLV (NIL) -7 NIL NIL) (-945 2319551 2319592 2319621 "REAL" 2319626 T REAL (NIL) -9 NIL 2319661) (-944 2316042 2316844 2317726 "REAL0Q" 2318716 NIL REAL0Q (NIL T) -7 NIL NIL) (-943 2311653 2312641 2313700 "REAL0" 2315023 NIL REAL0 (NIL T) -7 NIL NIL) (-942 2311061 2311133 2311338 "RDIV" 2311575 NIL RDIV (NIL T T T T T) -7 NIL NIL) (-941 2310134 2310308 2310519 "RDIST" 2310883 NIL RDIST (NIL T) -7 NIL NIL) (-940 2308738 2309025 2309394 "RDETRS" 2309842 NIL RDETRS (NIL T T) -7 NIL NIL) (-939 2306559 2307013 2307548 "RDETR" 2308280 NIL RDETR (NIL T T) -7 NIL NIL) (-938 2305175 2305453 2305854 "RDEEFS" 2306275 NIL RDEEFS (NIL T T) -7 NIL NIL) (-937 2303675 2303981 2304410 "RDEEF" 2304863 NIL RDEEF (NIL T T) -7 NIL NIL) (-936 2297959 2300891 2300920 "RCFIELD" 2302197 T RCFIELD (NIL) -9 NIL 2302927) (-935 2296028 2296532 2297225 "RCFIELD-" 2297298 NIL RCFIELD- (NIL T) -8 NIL NIL) (-934 2292359 2294144 2294186 "RCAGG" 2295257 NIL RCAGG (NIL T) -9 NIL 2295722) (-933 2291990 2292084 2292244 "RCAGG-" 2292249 NIL RCAGG- (NIL T T) -8 NIL NIL) (-932 2291335 2291446 2291608 "RATRET" 2291874 NIL RATRET (NIL T) -7 NIL NIL) (-931 2290892 2290959 2291078 "RATFACT" 2291263 NIL RATFACT (NIL T) -7 NIL NIL) (-930 2290207 2290327 2290477 "RANDSRC" 2290762 T RANDSRC (NIL) -7 NIL NIL) (-929 2289944 2289988 2290059 "RADUTIL" 2290156 T RADUTIL (NIL) -7 NIL NIL) (-928 2282951 2288687 2289004 "RADIX" 2289659 NIL RADIX (NIL NIL) -8 NIL NIL) (-927 2274521 2282795 2282923 "RADFF" 2282928 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL) (-926 2274172 2274247 2274276 "RADCAT" 2274433 T RADCAT (NIL) -9 NIL NIL) (-925 2273957 2274005 2274102 "RADCAT-" 2274107 NIL RADCAT- (NIL T) -8 NIL NIL) (-924 2272108 2273732 2273821 "QUEUE" 2273901 NIL QUEUE (NIL T) -8 NIL NIL) (-923 2268605 2272045 2272090 "QUAT" 2272095 NIL QUAT (NIL T) -8 NIL NIL) (-922 2268243 2268286 2268413 "QUATCT2" 2268556 NIL QUATCT2 (NIL T T T T) -7 NIL NIL) (-921 2262036 2265416 2265457 "QUATCAT" 2266236 NIL QUATCAT (NIL T) -9 NIL 2267001) (-920 2258180 2259217 2260604 "QUATCAT-" 2260698 NIL QUATCAT- (NIL T T) -8 NIL NIL) (-919 2255700 2257264 2257306 "QUAGG" 2257681 NIL QUAGG (NIL T) -9 NIL 2257856) (-918 2254625 2255098 2255270 "QFORM" 2255572 NIL QFORM (NIL NIL T) -8 NIL NIL) (-917 2245921 2251179 2251220 "QFCAT" 2251878 NIL QFCAT (NIL T) -9 NIL 2252871) (-916 2241493 2242694 2244285 "QFCAT-" 2244379 NIL QFCAT- (NIL T T) -8 NIL NIL) (-915 2241131 2241174 2241301 "QFCAT2" 2241444 NIL QFCAT2 (NIL T T T T) -7 NIL NIL) (-914 2240591 2240701 2240831 "QEQUAT" 2241021 T QEQUAT (NIL) -8 NIL NIL) (-913 2233777 2234848 2236030 "QCMPACK" 2239524 NIL QCMPACK (NIL T T T T T) -7 NIL NIL) (-912 2231353 2231774 2232202 "QALGSET" 2233432 NIL QALGSET (NIL T T T T) -8 NIL NIL) (-911 2230598 2230772 2231004 "QALGSET2" 2231173 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL) (-910 2229289 2229512 2229829 "PWFFINTB" 2230371 NIL PWFFINTB (NIL T T T T) -7 NIL NIL) (-909 2227477 2227645 2227998 "PUSHVAR" 2229103 NIL PUSHVAR (NIL T T T T) -7 NIL NIL) (-908 2223394 2224448 2224490 "PTRANFN" 2226374 NIL PTRANFN (NIL T) -9 NIL NIL) (-907 2221806 2222097 2222418 "PTPACK" 2223105 NIL PTPACK (NIL T) -7 NIL NIL) (-906 2221442 2221499 2221606 "PTFUNC2" 2221743 NIL PTFUNC2 (NIL T T) -7 NIL NIL) (-905 2215918 2220259 2220300 "PTCAT" 2220668 NIL PTCAT (NIL T) -9 NIL 2220830) (-904 2215576 2215611 2215735 "PSQFR" 2215877 NIL PSQFR (NIL T T T T) -7 NIL NIL) (-903 2214171 2214469 2214803 "PSEUDLIN" 2215274 NIL PSEUDLIN (NIL T) -7 NIL NIL) (-902 2200979 2203343 2205666 "PSETPK" 2211931 NIL PSETPK (NIL T T T T) -7 NIL NIL) (-901 2194065 2196779 2196874 "PSETCAT" 2199855 NIL PSETCAT (NIL T T T T) -9 NIL 2200669) (-900 2191903 2192537 2193356 "PSETCAT-" 2193361 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL) (-899 2191251 2191416 2191445 "PSCURVE" 2191713 T PSCURVE (NIL) -9 NIL 2191880) (-898 2187702 2189228 2189293 "PSCAT" 2190129 NIL PSCAT (NIL T T T) -9 NIL 2190369) (-897 2186766 2186982 2187381 "PSCAT-" 2187386 NIL PSCAT- (NIL T T T T) -8 NIL NIL) (-896 2185419 2186051 2186265 "PRTITION" 2186572 T PRTITION (NIL) -8 NIL NIL) (-895 2174517 2176723 2178911 "PRS" 2183281 NIL PRS (NIL T T) -7 NIL NIL) (-894 2172375 2173867 2173908 "PRQAGG" 2174091 NIL PRQAGG (NIL T) -9 NIL 2174193) (-893 2171945 2172047 2172076 "PROPLOG" 2172261 T PROPLOG (NIL) -9 NIL NIL) (-892 2169068 2169633 2170160 "PROPFRML" 2171450 NIL PROPFRML (NIL T) -8 NIL NIL) (-891 2162842 2167234 2168054 "PRODUCT" 2168294 NIL PRODUCT (NIL T T) -8 NIL NIL) (-890 2160118 2162302 2162535 "PR" 2162653 NIL PR (NIL T T) -8 NIL NIL) (-889 2159914 2159946 2160005 "PRINT" 2160079 T PRINT (NIL) -7 NIL NIL) (-888 2159254 2159371 2159523 "PRIMES" 2159794 NIL PRIMES (NIL T) -7 NIL NIL) (-887 2157319 2157720 2158186 "PRIMELT" 2158833 NIL PRIMELT (NIL T) -7 NIL NIL) (-886 2157047 2157096 2157125 "PRIMCAT" 2157249 T PRIMCAT (NIL) -9 NIL NIL) (-885 2153208 2156985 2157030 "PRIMARR" 2157035 NIL PRIMARR (NIL T) -8 NIL NIL) (-884 2152215 2152393 2152621 "PRIMARR2" 2153026 NIL PRIMARR2 (NIL T T) -7 NIL NIL) (-883 2151858 2151914 2152025 "PREASSOC" 2152153 NIL PREASSOC (NIL T T) -7 NIL NIL) (-882 2151332 2151465 2151494 "PPCURVE" 2151699 T PPCURVE (NIL) -9 NIL 2151835) (-881 2148691 2149090 2149682 "POLYROOT" 2150913 NIL POLYROOT (NIL T T T T T) -7 NIL NIL) (-880 2142597 2148297 2148456 "POLY" 2148564 NIL POLY (NIL T) -8 NIL NIL) (-879 2141982 2142040 2142273 "POLYLIFT" 2142533 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL) (-878 2138267 2138716 2139344 "POLYCATQ" 2141527 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL) (-877 2125307 2130704 2130769 "POLYCAT" 2134254 NIL POLYCAT (NIL T T T) -9 NIL 2136181) (-876 2118758 2120619 2123002 "POLYCAT-" 2123007 NIL POLYCAT- (NIL T T T T) -8 NIL NIL) (-875 2118347 2118415 2118534 "POLY2UP" 2118684 NIL POLY2UP (NIL NIL T) -7 NIL NIL) (-874 2117983 2118040 2118147 "POLY2" 2118284 NIL POLY2 (NIL T T) -7 NIL NIL) (-873 2116668 2116907 2117183 "POLUTIL" 2117757 NIL POLUTIL (NIL T T) -7 NIL NIL) (-872 2115030 2115307 2115637 "POLTOPOL" 2116390 NIL POLTOPOL (NIL NIL T) -7 NIL NIL) (-871 2110553 2114967 2115012 "POINT" 2115017 NIL POINT (NIL T) -8 NIL NIL) (-870 2108740 2109097 2109472 "PNTHEORY" 2110198 T PNTHEORY (NIL) -7 NIL NIL) (-869 2107168 2107465 2107874 "PMTOOLS" 2108438 NIL PMTOOLS (NIL T T T) -7 NIL NIL) (-868 2106761 2106839 2106956 "PMSYM" 2107084 NIL PMSYM (NIL T) -7 NIL NIL) (-867 2106271 2106340 2106514 "PMQFCAT" 2106686 NIL PMQFCAT (NIL T T T) -7 NIL NIL) (-866 2105626 2105736 2105892 "PMPRED" 2106148 NIL PMPRED (NIL T) -7 NIL NIL) (-865 2105022 2105108 2105269 "PMPREDFS" 2105527 NIL PMPREDFS (NIL T T T) -7 NIL NIL) (-864 2103668 2103876 2104260 "PMPLCAT" 2104784 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL) (-863 2103200 2103279 2103431 "PMLSAGG" 2103583 NIL PMLSAGG (NIL T T T) -7 NIL NIL) (-862 2102677 2102753 2102933 "PMKERNEL" 2103118 NIL PMKERNEL (NIL T T) -7 NIL NIL) (-861 2102294 2102369 2102482 "PMINS" 2102596 NIL PMINS (NIL T) -7 NIL NIL) (-860 2101724 2101793 2102008 "PMFS" 2102219 NIL PMFS (NIL T T T) -7 NIL NIL) (-859 2100955 2101073 2101277 "PMDOWN" 2101601 NIL PMDOWN (NIL T T T) -7 NIL NIL) (-858 2100118 2100277 2100459 "PMASS" 2100793 T PMASS (NIL) -7 NIL NIL) (-857 2099392 2099503 2099666 "PMASSFS" 2100004 NIL PMASSFS (NIL T T) -7 NIL NIL) (-856 2099047 2099115 2099209 "PLOTTOOL" 2099318 T PLOTTOOL (NIL) -7 NIL NIL) (-855 2093669 2094858 2096006 "PLOT" 2097919 T PLOT (NIL) -8 NIL NIL) (-854 2089483 2090517 2091438 "PLOT3D" 2092768 T PLOT3D (NIL) -8 NIL NIL) (-853 2088395 2088572 2088807 "PLOT1" 2089287 NIL PLOT1 (NIL T) -7 NIL NIL) (-852 2063790 2068461 2073312 "PLEQN" 2083661 NIL PLEQN (NIL T T T T) -7 NIL NIL) (-851 2063108 2063230 2063410 "PINTERP" 2063655 NIL PINTERP (NIL NIL T) -7 NIL NIL) (-850 2062801 2062848 2062951 "PINTERPA" 2063055 NIL PINTERPA (NIL T T) -7 NIL NIL) (-849 2062028 2062595 2062688 "PI" 2062728 T PI (NIL) -8 NIL NIL) (-848 2060419 2061404 2061433 "PID" 2061615 T PID (NIL) -9 NIL 2061749) (-847 2060144 2060181 2060269 "PICOERCE" 2060376 NIL PICOERCE (NIL T) -7 NIL NIL) (-846 2059465 2059603 2059779 "PGROEB" 2060000 NIL PGROEB (NIL T) -7 NIL NIL) (-845 2055052 2055866 2056771 "PGE" 2058580 T PGE (NIL) -7 NIL NIL) (-844 2053176 2053422 2053788 "PGCD" 2054769 NIL PGCD (NIL T T T T) -7 NIL NIL) (-843 2052514 2052617 2052778 "PFRPAC" 2053060 NIL PFRPAC (NIL T) -7 NIL NIL) (-842 2049129 2051062 2051415 "PFR" 2052193 NIL PFR (NIL T) -8 NIL NIL) (-841 2047518 2047762 2048087 "PFOTOOLS" 2048876 NIL PFOTOOLS (NIL T T) -7 NIL NIL) (-840 2046051 2046290 2046641 "PFOQ" 2047275 NIL PFOQ (NIL T T T) -7 NIL NIL) (-839 2044528 2044740 2045102 "PFO" 2045835 NIL PFO (NIL T T T T T) -7 NIL NIL) (-838 2041051 2044417 2044486 "PF" 2044491 NIL PF (NIL NIL) -8 NIL NIL) (-837 2038479 2039760 2039789 "PFECAT" 2040374 T PFECAT (NIL) -9 NIL 2040758) (-836 2037924 2038078 2038292 "PFECAT-" 2038297 NIL PFECAT- (NIL T) -8 NIL NIL) (-835 2036528 2036779 2037080 "PFBRU" 2037673 NIL PFBRU (NIL T T) -7 NIL NIL) (-834 2034395 2034746 2035178 "PFBR" 2036179 NIL PFBR (NIL T T T T) -7 NIL NIL) (-833 2030247 2031771 2032447 "PERM" 2033752 NIL PERM (NIL T) -8 NIL NIL) (-832 2025513 2026454 2027324 "PERMGRP" 2029410 NIL PERMGRP (NIL T) -8 NIL NIL) (-831 2023583 2024576 2024618 "PERMCAT" 2025064 NIL PERMCAT (NIL T) -9 NIL 2025369) (-830 2023238 2023279 2023402 "PERMAN" 2023536 NIL PERMAN 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1994896 1995377 "PATRES" 1996512 NIL PATRES (NIL T T) -8 NIL NIL) (-816 1993906 1993973 1994105 "PATRES2" 1994269 NIL PATRES2 (NIL T T T) -7 NIL NIL) (-815 1991803 1992203 1992608 "PATMATCH" 1993575 NIL PATMATCH (NIL T T T) -7 NIL NIL) (-814 1991339 1991522 1991564 "PATMAB" 1991671 NIL PATMAB (NIL T) -9 NIL 1991754) (-813 1989884 1990193 1990451 "PATLRES" 1991144 NIL PATLRES (NIL T T T) -8 NIL NIL) (-812 1989429 1989552 1989594 "PATAB" 1989599 NIL PATAB (NIL T) -9 NIL 1989771) (-811 1986910 1987442 1988015 "PARTPERM" 1988876 T PARTPERM (NIL) -7 NIL NIL) (-810 1986531 1986594 1986696 "PARSURF" 1986841 NIL PARSURF (NIL T) -8 NIL NIL) (-809 1986163 1986220 1986329 "PARSU2" 1986468 NIL PARSU2 (NIL T T) -7 NIL NIL) (-808 1985927 1985967 1986034 "PARSER" 1986116 T PARSER (NIL) -7 NIL NIL) (-807 1985548 1985611 1985713 "PARSCURV" 1985858 NIL PARSCURV (NIL T) -8 NIL NIL) (-806 1985180 1985237 1985346 "PARSC2" 1985485 NIL PARSC2 (NIL T T) -7 NIL NIL) (-805 1984819 1984877 1984974 "PARPCURV" 1985116 NIL PARPCURV (NIL T) -8 NIL NIL) (-804 1984451 1984508 1984617 "PARPC2" 1984756 NIL PARPC2 (NIL T T) -7 NIL NIL) (-803 1983971 1984057 1984176 "PAN2EXPR" 1984352 T PAN2EXPR (NIL) -7 NIL NIL) (-802 1982777 1983092 1983320 "PALETTE" 1983763 T PALETTE (NIL) -8 NIL NIL) (-801 1981245 1981782 1982142 "PAIR" 1982463 NIL PAIR (NIL T T) -8 NIL NIL) (-800 1975095 1980504 1980698 "PADICRC" 1981100 NIL PADICRC (NIL NIL T) -8 NIL NIL) (-799 1968303 1974441 1974625 "PADICRAT" 1974943 NIL PADICRAT (NIL NIL) -8 NIL NIL) (-798 1966607 1968240 1968285 "PADIC" 1968290 NIL PADIC (NIL NIL) -8 NIL NIL) (-797 1963811 1965385 1965426 "PADICCT" 1966007 NIL PADICCT (NIL NIL) -9 NIL 1966289) (-796 1962768 1962968 1963236 "PADEPAC" 1963598 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL) (-795 1961980 1962113 1962319 "PADE" 1962630 NIL PADE (NIL T T T) -7 NIL NIL) (-794 1959991 1960823 1961138 "OWP" 1961748 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL) (-793 1959100 1959596 1959768 "OVAR" 1959859 NIL OVAR (NIL NIL) -8 NIL NIL) (-792 1958364 1958485 1958646 "OUT" 1958959 T OUT (NIL) -7 NIL NIL) (-791 1947410 1949589 1951759 "OUTFORM" 1956214 T OUTFORM (NIL) -8 NIL NIL) (-790 1946818 1947139 1947228 "OSI" 1947341 T OSI (NIL) -8 NIL NIL) (-789 1945563 1945790 1946075 "ORTHPOL" 1946565 NIL ORTHPOL (NIL T) -7 NIL NIL) (-788 1942934 1945224 1945362 "OREUP" 1945506 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL) (-787 1940330 1942627 1942753 "ORESUP" 1942876 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL) (-786 1937865 1938365 1938925 "OREPCTO" 1939819 NIL OREPCTO (NIL T T) -7 NIL NIL) (-785 1931774 1933980 1934021 "OREPCAT" 1936342 NIL OREPCAT (NIL T) -9 NIL 1937445) (-784 1928922 1929704 1930761 "OREPCAT-" 1930766 NIL OREPCAT- (NIL T T) -8 NIL NIL) (-783 1928099 1928371 1928400 "ORDSET" 1928709 T ORDSET (NIL) -9 NIL 1928873) (-782 1927618 1927740 1927933 "ORDSET-" 1927938 NIL ORDSET- (NIL T) -8 NIL NIL) (-781 1926231 1927032 1927061 "ORDRING" 1927263 T ORDRING (NIL) -9 NIL 1927387) (-780 1925876 1925970 1926114 "ORDRING-" 1926119 NIL ORDRING- (NIL T) -8 NIL NIL) (-779 1925251 1925732 1925761 "ORDMON" 1925766 T ORDMON (NIL) -9 NIL 1925787) (-778 1924413 1924560 1924755 "ORDFUNS" 1925100 NIL ORDFUNS (NIL NIL T) -7 NIL NIL) (-777 1923924 1924283 1924312 "ORDFIN" 1924317 T ORDFIN (NIL) -9 NIL 1924338) (-776 1920436 1922510 1922919 "ORDCOMP" 1923548 NIL ORDCOMP (NIL T) -8 NIL NIL) (-775 1919702 1919829 1920015 "ORDCOMP2" 1920296 NIL ORDCOMP2 (NIL T T) -7 NIL NIL) (-774 1916210 1917092 1917929 "OPTPROB" 1918885 T OPTPROB (NIL) -8 NIL NIL) (-773 1913052 1913681 1914375 "OPTPACK" 1915536 T OPTPACK (NIL) -7 NIL NIL) (-772 1910777 1911513 1911542 "OPTCAT" 1912357 T OPTCAT (NIL) -9 NIL 1913003) (-771 1910545 1910584 1910650 "OPQUERY" 1910731 T OPQUERY (NIL) -7 NIL NIL) (-770 1907681 1908872 1909372 "OP" 1910077 NIL OP (NIL T) -8 NIL NIL) (-769 1904446 1906478 1906847 "ONECOMP" 1907345 NIL ONECOMP (NIL T) -8 NIL NIL) (-768 1903751 1903866 1904040 "ONECOMP2" 1904318 NIL ONECOMP2 (NIL T T) -7 NIL NIL) (-767 1903170 1903276 1903406 "OMSERVER" 1903641 T OMSERVER (NIL) -7 NIL NIL) (-766 1900058 1902610 1902651 "OMSAGG" 1902712 NIL OMSAGG (NIL T) -9 NIL 1902776) (-765 1898681 1898944 1899226 "OMPKG" 1899796 T OMPKG (NIL) -7 NIL NIL) (-764 1898110 1898213 1898242 "OM" 1898541 T OM (NIL) -9 NIL NIL) (-763 1896649 1897662 1897830 "OMLO" 1897991 NIL OMLO (NIL T T) -8 NIL NIL) (-762 1895579 1895726 1895952 "OMEXPR" 1896475 NIL OMEXPR (NIL T) -7 NIL NIL) (-761 1894897 1895125 1895261 "OMERR" 1895463 T OMERR (NIL) -8 NIL NIL) (-760 1894075 1894318 1894478 "OMERRK" 1894757 T OMERRK (NIL) -8 NIL NIL) (-759 1893553 1893752 1893860 "OMENC" 1893987 T OMENC (NIL) -8 NIL NIL) (-758 1887448 1888633 1889804 "OMDEV" 1892402 T OMDEV (NIL) -8 NIL NIL) (-757 1886517 1886688 1886882 "OMCONN" 1887274 T OMCONN (NIL) -8 NIL NIL) (-756 1885132 1886118 1886147 "OINTDOM" 1886152 T OINTDOM (NIL) -9 NIL 1886173) (-755 1880894 1882124 1882839 "OFMONOID" 1884449 NIL OFMONOID (NIL T) -8 NIL NIL) (-754 1880332 1880831 1880876 "ODVAR" 1880881 NIL ODVAR (NIL T) -8 NIL NIL) (-753 1877457 1879829 1880014 "ODR" 1880207 NIL ODR (NIL T T NIL) -8 NIL NIL) (-752 1869763 1877236 1877360 "ODPOL" 1877365 NIL ODPOL (NIL T) -8 NIL NIL) (-751 1863586 1869635 1869740 "ODP" 1869745 NIL ODP (NIL NIL T NIL) -8 NIL NIL) (-750 1862352 1862567 1862842 "ODETOOLS" 1863360 NIL ODETOOLS (NIL T T) -7 NIL NIL) (-749 1859321 1859977 1860693 "ODESYS" 1861685 NIL ODESYS (NIL T T) -7 NIL NIL) (-748 1854225 1855133 1856156 "ODERTRIC" 1858396 NIL ODERTRIC (NIL T T) -7 NIL NIL) (-747 1853651 1853733 1853927 "ODERED" 1854137 NIL ODERED (NIL T T T T T) -7 NIL NIL) (-746 1850553 1851101 1851776 "ODERAT" 1853074 NIL ODERAT (NIL T T) -7 NIL NIL) (-745 1847521 1847985 1848581 "ODEPRRIC" 1850082 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL) (-744 1845392 1845959 1846468 "ODEPROB" 1847032 T ODEPROB (NIL) -8 NIL NIL) (-743 1841924 1842407 1843053 "ODEPRIM" 1844871 NIL ODEPRIM (NIL T T T T) -7 NIL NIL) (-742 1841177 1841279 1841537 "ODEPAL" 1841816 NIL ODEPAL (NIL T T T T) -7 NIL NIL) (-741 1837379 1838160 1839014 "ODEPACK" 1840343 T ODEPACK (NIL) -7 NIL NIL) (-740 1836416 1836523 1836751 "ODEINT" 1837268 NIL ODEINT (NIL T T) -7 NIL NIL) (-739 1830517 1831942 1833389 "ODEIFTBL" 1834989 T ODEIFTBL (NIL) -8 NIL NIL) (-738 1825861 1826647 1827605 "ODEEF" 1829676 NIL ODEEF (NIL T T) -7 NIL NIL) (-737 1825198 1825287 1825516 "ODECONST" 1825766 NIL ODECONST (NIL T T T) -7 NIL NIL) (-736 1823355 1823988 1824017 "ODECAT" 1824620 T ODECAT (NIL) -9 NIL 1825149) (-735 1820227 1823067 1823186 "OCT" 1823268 NIL OCT (NIL T) -8 NIL NIL) (-734 1819865 1819908 1820035 "OCTCT2" 1820178 NIL OCTCT2 (NIL T T T T) -7 NIL NIL) (-733 1814698 1817136 1817177 "OC" 1818273 NIL OC (NIL T) -9 NIL 1819130) (-732 1811925 1812673 1813663 "OC-" 1813757 NIL OC- (NIL T T) -8 NIL NIL) (-731 1811303 1811745 1811774 "OCAMON" 1811779 T OCAMON (NIL) -9 NIL 1811800) (-730 1810763 1810873 1811003 "OBJPROP" 1811193 T OBJPROP (NIL) -8 NIL NIL) (-729 1810216 1810623 1810652 "OASGP" 1810657 T OASGP (NIL) -9 NIL 1810677) (-728 1809503 1809966 1809995 "OAMONS" 1810035 T OAMONS (NIL) -9 NIL 1810078) (-727 1808943 1809350 1809379 "OAMON" 1809384 T OAMON (NIL) -9 NIL 1809404) (-726 1808247 1808739 1808768 "OAGROUP" 1808773 T OAGROUP (NIL) -9 NIL 1808793) (-725 1807937 1807987 1808075 "NUMTUBE" 1808191 NIL NUMTUBE (NIL T) -7 NIL NIL) (-724 1801510 1803028 1804564 "NUMQUAD" 1806421 T NUMQUAD (NIL) -7 NIL NIL) (-723 1797266 1798254 1799279 "NUMODE" 1800505 T NUMODE (NIL) -7 NIL NIL) (-722 1794669 1795515 1795544 "NUMINT" 1796461 T NUMINT (NIL) -9 NIL 1797217) (-721 1793617 1793814 1794032 "NUMFMT" 1794471 T NUMFMT (NIL) -7 NIL NIL) (-720 1779999 1782933 1785463 "NUMERIC" 1791126 NIL NUMERIC (NIL T) -7 NIL NIL) (-719 1774399 1779451 1779546 "NTSCAT" 1779551 NIL NTSCAT (NIL T T T T) -9 NIL 1779589) (-718 1773593 1773758 1773951 "NTPOLFN" 1774238 NIL NTPOLFN (NIL T) -7 NIL NIL) (-717 1761449 1770435 1771245 "NSUP" 1772815 NIL NSUP (NIL T) -8 NIL NIL) (-716 1761085 1761142 1761249 "NSUP2" 1761386 NIL NSUP2 (NIL T T) -7 NIL NIL) (-715 1751047 1760864 1760994 "NSMP" 1760999 NIL NSMP (NIL T T) -8 NIL NIL) (-714 1749479 1749780 1750137 "NREP" 1750735 NIL NREP (NIL T) -7 NIL NIL) (-713 1748070 1748322 1748680 "NPCOEF" 1749222 NIL NPCOEF (NIL T T T T T) -7 NIL NIL) (-712 1747136 1747251 1747467 "NORMRETR" 1747951 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL) (-711 1745189 1745479 1745886 "NORMPK" 1746844 NIL NORMPK (NIL T T T T T) -7 NIL NIL) (-710 1744874 1744902 1745026 "NORMMA" 1745155 NIL NORMMA (NIL T T T T) -7 NIL NIL) (-709 1744701 1744831 1744860 "NONE" 1744865 T NONE (NIL) -8 NIL NIL) (-708 1744490 1744519 1744588 "NONE1" 1744665 NIL NONE1 (NIL T) -7 NIL NIL) (-707 1743975 1744037 1744222 "NODE1" 1744422 NIL NODE1 (NIL T T) -7 NIL NIL) (-706 1742268 1743138 1743393 "NNI" 1743740 T NNI (NIL) -8 NIL NIL) (-705 1740688 1741001 1741365 "NLINSOL" 1741936 NIL NLINSOL (NIL T) -7 NIL NIL) (-704 1736856 1737823 1738745 "NIPROB" 1739786 T NIPROB (NIL) -8 NIL NIL) (-703 1735613 1735847 1736149 "NFINTBAS" 1736618 NIL NFINTBAS (NIL T T) -7 NIL NIL) (-702 1734321 1734552 1734833 "NCODIV" 1735381 NIL NCODIV (NIL T T) -7 NIL NIL) (-701 1734083 1734120 1734195 "NCNTFRAC" 1734278 NIL NCNTFRAC (NIL T) -7 NIL NIL) (-700 1732263 1732627 1733047 "NCEP" 1733708 NIL NCEP (NIL T) -7 NIL NIL) (-699 1731174 1731913 1731942 "NASRING" 1732052 T NASRING (NIL) -9 NIL 1732126) (-698 1730969 1731013 1731107 "NASRING-" 1731112 NIL NASRING- (NIL T) -8 NIL NIL) (-697 1730122 1730621 1730650 "NARNG" 1730767 T NARNG (NIL) -9 NIL 1730858) (-696 1729814 1729881 1730015 "NARNG-" 1730020 NIL NARNG- (NIL T) -8 NIL NIL) (-695 1728693 1728900 1729135 "NAGSP" 1729599 T NAGSP (NIL) -7 NIL NIL) (-694 1720117 1721763 1723398 "NAGS" 1727078 T NAGS (NIL) -7 NIL NIL) (-693 1718681 1718985 1719312 "NAGF07" 1719810 T NAGF07 (NIL) -7 NIL NIL) (-692 1713263 1714543 1715839 "NAGF04" 1717405 T NAGF04 (NIL) -7 NIL NIL) (-691 1706295 1707893 1709510 "NAGF02" 1711666 T NAGF02 (NIL) -7 NIL NIL) (-690 1701559 1702649 1703756 "NAGF01" 1705208 T NAGF01 (NIL) -7 NIL NIL) (-689 1695219 1696777 1698354 "NAGE04" 1700002 T NAGE04 (NIL) -7 NIL NIL) (-688 1686460 1688563 1690675 "NAGE02" 1693127 T NAGE02 (NIL) -7 NIL NIL) (-687 1682453 1683390 1684344 "NAGE01" 1685526 T NAGE01 (NIL) -7 NIL NIL) (-686 1680260 1680791 1681346 "NAGD03" 1681918 T NAGD03 (NIL) -7 NIL NIL) (-685 1672046 1673965 1675910 "NAGD02" 1678335 T NAGD02 (NIL) -7 NIL NIL) (-684 1665905 1667318 1668746 "NAGD01" 1670638 T NAGD01 (NIL) -7 NIL NIL) (-683 1662162 1662972 1663797 "NAGC06" 1665100 T NAGC06 (NIL) -7 NIL NIL) (-682 1660639 1660968 1661321 "NAGC05" 1661829 T NAGC05 (NIL) -7 NIL NIL) (-681 1660023 1660140 1660282 "NAGC02" 1660517 T NAGC02 (NIL) -7 NIL NIL) (-680 1659084 1659641 1659682 "NAALG" 1659761 NIL NAALG (NIL T) -9 NIL 1659822) (-679 1658919 1658948 1659038 "NAALG-" 1659043 NIL NAALG- (NIL T T) -8 NIL NIL) (-678 1652869 1653977 1655164 "MULTSQFR" 1657815 NIL MULTSQFR (NIL T T T T) -7 NIL NIL) (-677 1652188 1652263 1652447 "MULTFACT" 1652781 NIL MULTFACT (NIL T T T T) -7 NIL NIL) (-676 1645381 1649292 1649345 "MTSCAT" 1650405 NIL MTSCAT (NIL T T) -9 NIL 1650919) (-675 1645093 1645147 1645239 "MTHING" 1645321 NIL MTHING (NIL T) -7 NIL NIL) (-674 1644885 1644918 1644978 "MSYSCMD" 1645053 T MSYSCMD (NIL) -7 NIL NIL) (-673 1640997 1643640 1643960 "MSET" 1644598 NIL MSET (NIL T) -8 NIL NIL) (-672 1638092 1640558 1640600 "MSETAGG" 1640605 NIL MSETAGG (NIL T) -9 NIL 1640639) (-671 1633948 1635490 1636231 "MRING" 1637395 NIL MRING (NIL T T) -8 NIL NIL) (-670 1633518 1633585 1633714 "MRF2" 1633875 NIL MRF2 (NIL T T T) -7 NIL NIL) (-669 1633136 1633171 1633315 "MRATFAC" 1633477 NIL MRATFAC (NIL T T T T) -7 NIL NIL) (-668 1630748 1631043 1631474 "MPRFF" 1632841 NIL MPRFF (NIL T T T T) -7 NIL NIL) (-667 1624768 1630603 1630699 "MPOLY" 1630704 NIL MPOLY (NIL NIL T) -8 NIL NIL) (-666 1624258 1624293 1624501 "MPCPF" 1624727 NIL MPCPF (NIL T T T T) -7 NIL NIL) (-665 1623774 1623817 1624000 "MPC3" 1624209 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL) (-664 1622975 1623056 1623275 "MPC2" 1623689 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL) (-663 1621276 1621613 1622003 "MONOTOOL" 1622635 NIL MONOTOOL (NIL T T) -7 NIL NIL) (-662 1620400 1620735 1620764 "MONOID" 1621041 T MONOID (NIL) -9 NIL 1621213) (-661 1619778 1619941 1620184 "MONOID-" 1620189 NIL MONOID- (NIL T) -8 NIL NIL) (-660 1610758 1616744 1616804 "MONOGEN" 1617478 NIL MONOGEN (NIL T T) -9 NIL 1617934) (-659 1607976 1608711 1609711 "MONOGEN-" 1609830 NIL MONOGEN- (NIL T T T) -8 NIL NIL) (-658 1606835 1607255 1607284 "MONADWU" 1607676 T MONADWU (NIL) -9 NIL 1607914) (-657 1606207 1606366 1606614 "MONADWU-" 1606619 NIL MONADWU- (NIL T) -8 NIL NIL) (-656 1605592 1605810 1605839 "MONAD" 1606046 T MONAD (NIL) -9 NIL 1606158) (-655 1605277 1605355 1605487 "MONAD-" 1605492 NIL MONAD- (NIL T) -8 NIL NIL) (-654 1603528 1604190 1604469 "MOEBIUS" 1605030 NIL MOEBIUS (NIL T) -8 NIL NIL) (-653 1602921 1603299 1603340 "MODULE" 1603345 NIL MODULE (NIL T) -9 NIL 1603371) (-652 1602489 1602585 1602775 "MODULE-" 1602780 NIL MODULE- (NIL T T) -8 NIL NIL) (-651 1600160 1600855 1601181 "MODRING" 1602314 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL) (-650 1597116 1598281 1598798 "MODOP" 1599692 NIL MODOP (NIL T T) -8 NIL NIL) (-649 1595303 1595755 1596096 "MODMONOM" 1596915 NIL MODMONOM (NIL T T NIL) -8 NIL NIL) (-648 1585021 1593507 1593929 "MODMON" 1594931 NIL MODMON (NIL T T) -8 NIL NIL) (-647 1582147 1583865 1584141 "MODFIELD" 1584896 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL) (-646 1581673 1581716 1581895 "MMAP" 1582098 NIL MMAP (NIL T T T T T T) -7 NIL NIL) (-645 1579909 1580686 1580727 "MLO" 1581144 NIL MLO (NIL T) -9 NIL 1581385) (-644 1577276 1577791 1578393 "MLIFT" 1579390 NIL MLIFT (NIL T T T T) -7 NIL NIL) (-643 1576667 1576751 1576905 "MKUCFUNC" 1577187 NIL MKUCFUNC (NIL T T T) -7 NIL NIL) (-642 1576266 1576336 1576459 "MKRECORD" 1576590 NIL MKRECORD (NIL T T) -7 NIL NIL) (-641 1575314 1575475 1575703 "MKFUNC" 1576077 NIL MKFUNC (NIL T) -7 NIL NIL) (-640 1574702 1574806 1574962 "MKFLCFN" 1575197 NIL MKFLCFN (NIL T) -7 NIL NIL) (-639 1574128 1574495 1574584 "MKCHSET" 1574646 NIL MKCHSET (NIL T) -8 NIL NIL) (-638 1573405 1573507 1573692 "MKBCFUNC" 1574021 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL) (-637 1570089 1572959 1573095 "MINT" 1573289 T MINT (NIL) -8 NIL NIL) (-636 1568901 1569144 1569421 "MHROWRED" 1569844 NIL MHROWRED (NIL T) -7 NIL NIL) (-635 1564172 1567346 1567770 "MFLOAT" 1568497 T MFLOAT (NIL) -8 NIL NIL) (-634 1563529 1563605 1563776 "MFINFACT" 1564084 NIL MFINFACT (NIL T T T T) -7 NIL NIL) (-633 1559844 1560692 1561576 "MESH" 1562665 T MESH (NIL) -7 NIL NIL) (-632 1558234 1558546 1558899 "MDDFACT" 1559531 NIL MDDFACT (NIL T) -7 NIL NIL) (-631 1555076 1557393 1557435 "MDAGG" 1557690 NIL MDAGG (NIL T) -9 NIL 1557833) (-630 1544774 1554369 1554576 "MCMPLX" 1554889 T MCMPLX (NIL) -8 NIL NIL) (-629 1543915 1544061 1544261 "MCDEN" 1544623 NIL MCDEN (NIL T T) -7 NIL NIL) (-628 1541805 1542075 1542455 "MCALCFN" 1543645 NIL MCALCFN (NIL T T T T) -7 NIL NIL) (-627 1539427 1539950 1540511 "MATSTOR" 1541276 NIL MATSTOR (NIL T) -7 NIL NIL) (-626 1535435 1538802 1539049 "MATRIX" 1539212 NIL MATRIX (NIL T) -8 NIL NIL) (-625 1531205 1531908 1532644 "MATLIN" 1534792 NIL MATLIN (NIL T T T T) -7 NIL NIL) (-624 1521402 1524540 1524617 "MATCAT" 1529455 NIL MATCAT (NIL T T T) -9 NIL 1530872) (-623 1517767 1518780 1520135 "MATCAT-" 1520140 NIL MATCAT- (NIL T T T T) -8 NIL NIL) (-622 1516369 1516522 1516853 "MATCAT2" 1517602 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-621 1514481 1514805 1515189 "MAPPKG3" 1516044 NIL MAPPKG3 (NIL T T T) -7 NIL NIL) (-620 1513462 1513635 1513857 "MAPPKG2" 1514305 NIL MAPPKG2 (NIL T T) -7 NIL NIL) (-619 1511961 1512245 1512572 "MAPPKG1" 1513168 NIL MAPPKG1 (NIL T) -7 NIL NIL) (-618 1511572 1511630 1511753 "MAPHACK3" 1511897 NIL MAPHACK3 (NIL T T T) -7 NIL NIL) (-617 1511164 1511225 1511339 "MAPHACK2" 1511504 NIL MAPHACK2 (NIL T T) -7 NIL NIL) (-616 1510602 1510705 1510847 "MAPHACK1" 1511055 NIL MAPHACK1 (NIL T) -7 NIL NIL) (-615 1508710 1509304 1509607 "MAGMA" 1510331 NIL MAGMA (NIL T) -8 NIL NIL) (-614 1505184 1506954 1507414 "M3D" 1508283 NIL M3D (NIL T) -8 NIL NIL) (-613 1499339 1503554 1503596 "LZSTAGG" 1504378 NIL LZSTAGG (NIL T) -9 NIL 1504673) (-612 1495312 1496470 1497927 "LZSTAGG-" 1497932 NIL LZSTAGG- (NIL T T) -8 NIL NIL) (-611 1492428 1493205 1493691 "LWORD" 1494858 NIL LWORD (NIL T) -8 NIL NIL) (-610 1485588 1492199 1492333 "LSQM" 1492338 NIL LSQM (NIL NIL T) -8 NIL NIL) (-609 1484812 1484951 1485179 "LSPP" 1485443 NIL LSPP (NIL T T T T) -7 NIL NIL) (-608 1482624 1482925 1483381 "LSMP" 1484501 NIL LSMP (NIL T T T T) -7 NIL NIL) (-607 1479403 1480077 1480807 "LSMP1" 1481926 NIL LSMP1 (NIL T) -7 NIL NIL) (-606 1473329 1478571 1478613 "LSAGG" 1478675 NIL LSAGG (NIL T) -9 NIL 1478753) (-605 1470024 1470948 1472161 "LSAGG-" 1472166 NIL LSAGG- (NIL T T) -8 NIL NIL) (-604 1467650 1469168 1469417 "LPOLY" 1469819 NIL LPOLY (NIL T T) -8 NIL NIL) (-603 1467232 1467317 1467440 "LPEFRAC" 1467559 NIL LPEFRAC (NIL T) -7 NIL NIL) (-602 1465579 1466326 1466579 "LO" 1467064 NIL LO (NIL T T T) -8 NIL NIL) (-601 1465232 1465344 1465373 "LOGIC" 1465484 T LOGIC (NIL) -9 NIL 1465564) (-600 1465094 1465117 1465188 "LOGIC-" 1465193 NIL LOGIC- (NIL T) -8 NIL NIL) (-599 1464287 1464427 1464620 "LODOOPS" 1464950 NIL LODOOPS (NIL T T) -7 NIL NIL) (-598 1461705 1464204 1464269 "LODO" 1464274 NIL LODO (NIL T NIL) -8 NIL NIL) (-597 1460251 1460486 1460837 "LODOF" 1461452 NIL LODOF (NIL T T) -7 NIL NIL) (-596 1456670 1459106 1459147 "LODOCAT" 1459579 NIL LODOCAT (NIL T) -9 NIL 1459790) (-595 1456404 1456462 1456588 "LODOCAT-" 1456593 NIL LODOCAT- (NIL T T) -8 NIL NIL) (-594 1453718 1456245 1456363 "LODO2" 1456368 NIL LODO2 (NIL T T) -8 NIL NIL) (-593 1451147 1453655 1453700 "LODO1" 1453705 NIL LODO1 (NIL T) -8 NIL NIL) (-592 1450010 1450175 1450486 "LODEEF" 1450970 NIL LODEEF (NIL T T T) -7 NIL NIL) (-591 1445296 1448140 1448182 "LNAGG" 1449129 NIL LNAGG (NIL T) -9 NIL 1449573) (-590 1444443 1444657 1444999 "LNAGG-" 1445004 NIL LNAGG- (NIL T T) -8 NIL NIL) (-589 1440608 1441370 1442008 "LMOPS" 1443859 NIL LMOPS (NIL T T NIL) -8 NIL NIL) (-588 1440005 1440367 1440408 "LMODULE" 1440468 NIL LMODULE (NIL T) -9 NIL 1440510) (-587 1437251 1439650 1439773 "LMDICT" 1439915 NIL LMDICT (NIL T) -8 NIL NIL) (-586 1430478 1436197 1436495 "LIST" 1436986 NIL LIST (NIL T) -8 NIL NIL) (-585 1430003 1430077 1430216 "LIST3" 1430398 NIL LIST3 (NIL T T T) -7 NIL NIL) (-584 1429010 1429188 1429416 "LIST2" 1429821 NIL LIST2 (NIL T T) -7 NIL NIL) (-583 1427144 1427456 1427855 "LIST2MAP" 1428657 NIL LIST2MAP (NIL T T) -7 NIL NIL) (-582 1425856 1426536 1426577 "LINEXP" 1426830 NIL LINEXP (NIL T) -9 NIL 1426978) (-581 1424503 1424763 1425060 "LINDEP" 1425608 NIL LINDEP (NIL T T) -7 NIL NIL) (-580 1421270 1421989 1422766 "LIMITRF" 1423758 NIL LIMITRF (NIL T) -7 NIL NIL) (-579 1419550 1419845 1420260 "LIMITPS" 1420965 NIL LIMITPS (NIL T T) -7 NIL NIL) (-578 1414005 1419061 1419289 "LIE" 1419371 NIL LIE (NIL T T) -8 NIL NIL) (-577 1413055 1413498 1413539 "LIECAT" 1413679 NIL LIECAT (NIL T) -9 NIL 1413830) (-576 1412896 1412923 1413011 "LIECAT-" 1413016 NIL LIECAT- (NIL T T) -8 NIL NIL) (-575 1405508 1412345 1412510 "LIB" 1412751 T LIB (NIL) -8 NIL NIL) (-574 1401145 1402026 1402961 "LGROBP" 1404625 NIL LGROBP (NIL NIL T) -7 NIL NIL) (-573 1399011 1399285 1399647 "LF" 1400866 NIL LF (NIL T T) -7 NIL NIL) (-572 1397850 1398542 1398571 "LFCAT" 1398778 T LFCAT (NIL) -9 NIL 1398917) (-571 1394762 1395388 1396074 "LEXTRIPK" 1397216 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL) (-570 1391468 1392332 1392835 "LEXP" 1394342 NIL LEXP (NIL T T NIL) -8 NIL NIL) (-569 1389866 1390179 1390580 "LEADCDET" 1391150 NIL LEADCDET (NIL T T T T) -7 NIL NIL) (-568 1389062 1389136 1389363 "LAZM3PK" 1389787 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL) (-567 1383978 1387141 1387678 "LAUPOL" 1388575 NIL LAUPOL (NIL T T) -8 NIL NIL) (-566 1383545 1383589 1383756 "LAPLACE" 1383928 NIL LAPLACE (NIL T T) -7 NIL NIL) (-565 1381473 1382646 1382897 "LA" 1383378 NIL LA (NIL T T T) -8 NIL NIL) (-564 1380535 1381129 1381170 "LALG" 1381231 NIL LALG (NIL T) -9 NIL 1381289) (-563 1380250 1380309 1380444 "LALG-" 1380449 NIL LALG- (NIL T T) -8 NIL NIL) (-562 1379160 1379347 1379644 "KOVACIC" 1380050 NIL KOVACIC (NIL T T) -7 NIL NIL) (-561 1378994 1379018 1379060 "KONVERT" 1379122 NIL KONVERT (NIL T) -9 NIL NIL) (-560 1378828 1378852 1378894 "KOERCE" 1378956 NIL KOERCE (NIL T) -9 NIL NIL) (-559 1376562 1377322 1377715 "KERNEL" 1378467 NIL KERNEL (NIL T) -8 NIL NIL) (-558 1376064 1376145 1376275 "KERNEL2" 1376476 NIL KERNEL2 (NIL T T) -7 NIL NIL) (-557 1369915 1374603 1374658 "KDAGG" 1375035 NIL KDAGG (NIL T T) -9 NIL 1375241) (-556 1369444 1369568 1369773 "KDAGG-" 1369778 NIL KDAGG- (NIL T T T) -8 NIL NIL) (-555 1362619 1369105 1369260 "KAFILE" 1369322 NIL KAFILE (NIL T) -8 NIL NIL) (-554 1357074 1362130 1362358 "JORDAN" 1362440 NIL JORDAN (NIL T T) -8 NIL NIL) (-553 1353373 1355279 1355334 "IXAGG" 1356263 NIL IXAGG (NIL T T) -9 NIL 1356722) (-552 1352292 1352598 1353017 "IXAGG-" 1353022 NIL IXAGG- (NIL T T T) -8 NIL NIL) (-551 1347877 1352214 1352273 "IVECTOR" 1352278 NIL IVECTOR (NIL T NIL) -8 NIL NIL) (-550 1346643 1346880 1347146 "ITUPLE" 1347644 NIL ITUPLE (NIL T) -8 NIL NIL) (-549 1345079 1345256 1345562 "ITRIGMNP" 1346465 NIL ITRIGMNP (NIL T T T) -7 NIL NIL) (-548 1343824 1344028 1344311 "ITFUN3" 1344855 NIL ITFUN3 (NIL T T T) -7 NIL NIL) (-547 1343456 1343513 1343622 "ITFUN2" 1343761 NIL ITFUN2 (NIL T T) -7 NIL NIL) (-546 1341258 1342329 1342626 "ITAYLOR" 1343191 NIL ITAYLOR (NIL T) -8 NIL NIL) (-545 1330249 1335444 1336603 "ISUPS" 1340131 NIL ISUPS (NIL T) -8 NIL NIL) (-544 1329353 1329493 1329729 "ISUMP" 1330096 NIL ISUMP (NIL T T T T) -7 NIL NIL) (-543 1324617 1329154 1329233 "ISTRING" 1329306 NIL ISTRING (NIL NIL) -8 NIL NIL) (-542 1323830 1323911 1324126 "IRURPK" 1324531 NIL IRURPK (NIL T T T T T) -7 NIL NIL) (-541 1322766 1322967 1323207 "IRSN" 1323610 T IRSN (NIL) -7 NIL NIL) (-540 1320801 1321156 1321591 "IRRF2F" 1322404 NIL IRRF2F (NIL T) -7 NIL NIL) (-539 1320548 1320586 1320662 "IRREDFFX" 1320757 NIL IRREDFFX (NIL T) -7 NIL NIL) (-538 1319163 1319422 1319721 "IROOT" 1320281 NIL IROOT (NIL T) -7 NIL NIL) (-537 1315801 1316852 1317542 "IR" 1318505 NIL IR (NIL T) -8 NIL NIL) (-536 1313414 1313909 1314475 "IR2" 1315279 NIL IR2 (NIL T T) -7 NIL NIL) (-535 1312490 1312603 1312823 "IR2F" 1313297 NIL IR2F (NIL T T) -7 NIL NIL) (-534 1312281 1312315 1312375 "IPRNTPK" 1312450 T IPRNTPK (NIL) -7 NIL NIL) (-533 1308835 1312170 1312239 "IPF" 1312244 NIL IPF (NIL NIL) -8 NIL NIL) (-532 1307152 1308760 1308817 "IPADIC" 1308822 NIL IPADIC (NIL NIL NIL) -8 NIL NIL) (-531 1306651 1306709 1306898 "INVLAPLA" 1307088 NIL INVLAPLA (NIL T T) -7 NIL NIL) (-530 1296300 1298653 1301039 "INTTR" 1304315 NIL INTTR (NIL T T) -7 NIL NIL) (-529 1292648 1293389 1294252 "INTTOOLS" 1295486 NIL INTTOOLS (NIL T T) -7 NIL NIL) (-528 1292234 1292325 1292442 "INTSLPE" 1292551 T INTSLPE (NIL) -7 NIL NIL) (-527 1290184 1292157 1292216 "INTRVL" 1292221 NIL INTRVL (NIL T) -8 NIL NIL) (-526 1287791 1288303 1288877 "INTRF" 1289669 NIL INTRF (NIL T) -7 NIL NIL) (-525 1287206 1287303 1287444 "INTRET" 1287689 NIL INTRET (NIL T) -7 NIL NIL) (-524 1285208 1285597 1286066 "INTRAT" 1286814 NIL INTRAT (NIL T T) -7 NIL NIL) (-523 1282441 1283024 1283649 "INTPM" 1284693 NIL INTPM (NIL T T) -7 NIL NIL) (-522 1279150 1279749 1280493 "INTPAF" 1281827 NIL INTPAF (NIL T T T) -7 NIL NIL) (-521 1274393 1275339 1276374 "INTPACK" 1278135 T INTPACK (NIL) -7 NIL NIL) (-520 1271247 1274122 1274249 "INT" 1274286 T INT (NIL) -8 NIL NIL) (-519 1270499 1270651 1270859 "INTHERTR" 1271089 NIL INTHERTR (NIL T T) -7 NIL NIL) (-518 1269938 1270018 1270206 "INTHERAL" 1270413 NIL INTHERAL (NIL T T T T) -7 NIL NIL) (-517 1267784 1268227 1268684 "INTHEORY" 1269501 T INTHEORY (NIL) -7 NIL NIL) (-516 1259107 1260727 1262505 "INTG0" 1266136 NIL INTG0 (NIL T T T) -7 NIL NIL) (-515 1239680 1244470 1249280 "INTFTBL" 1254317 T INTFTBL (NIL) -8 NIL NIL) (-514 1238929 1239067 1239240 "INTFACT" 1239539 NIL INTFACT (NIL T) -7 NIL NIL) (-513 1236320 1236766 1237329 "INTEF" 1238483 NIL INTEF (NIL T T) -7 NIL NIL) (-512 1234781 1235530 1235559 "INTDOM" 1235860 T INTDOM (NIL) -9 NIL 1236067) (-511 1234150 1234324 1234566 "INTDOM-" 1234571 NIL INTDOM- (NIL T) -8 NIL NIL) (-510 1230642 1232574 1232629 "INTCAT" 1233428 NIL INTCAT (NIL T) -9 NIL 1233747) (-509 1230115 1230217 1230345 "INTBIT" 1230534 T INTBIT (NIL) -7 NIL NIL) (-508 1228790 1228944 1229257 "INTALG" 1229960 NIL INTALG (NIL T T T T T) -7 NIL NIL) (-507 1228247 1228337 1228507 "INTAF" 1228694 NIL INTAF (NIL T T) -7 NIL NIL) (-506 1221701 1228057 1228197 "INTABL" 1228202 NIL INTABL (NIL T T T) -8 NIL NIL) (-505 1216651 1219380 1219409 "INS" 1220377 T INS (NIL) -9 NIL 1221058) (-504 1213891 1214662 1215636 "INS-" 1215709 NIL INS- (NIL T) -8 NIL NIL) (-503 1212670 1212897 1213194 "INPSIGN" 1213644 NIL INPSIGN (NIL T T) -7 NIL NIL) (-502 1211788 1211905 1212102 "INPRODPF" 1212550 NIL INPRODPF (NIL T T) -7 NIL NIL) (-501 1210682 1210799 1211036 "INPRODFF" 1211668 NIL INPRODFF (NIL T T T T) -7 NIL NIL) (-500 1209682 1209834 1210094 "INNMFACT" 1210518 NIL INNMFACT (NIL T T T T) -7 NIL NIL) (-499 1208879 1208976 1209164 "INMODGCD" 1209581 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL) (-498 1207388 1207632 1207956 "INFSP" 1208624 NIL INFSP (NIL T T T) -7 NIL NIL) (-497 1206572 1206689 1206872 "INFPROD0" 1207268 NIL INFPROD0 (NIL T T) -7 NIL NIL) (-496 1203582 1204741 1205232 "INFORM" 1206089 T INFORM (NIL) -8 NIL NIL) (-495 1203192 1203252 1203350 "INFORM1" 1203517 NIL INFORM1 (NIL T) -7 NIL NIL) (-494 1202715 1202804 1202918 "INFINITY" 1203098 T INFINITY (NIL) -7 NIL NIL) (-493 1201333 1201581 1201902 "INEP" 1202463 NIL INEP (NIL T T T) -7 NIL NIL) (-492 1200609 1201230 1201295 "INDE" 1201300 NIL INDE (NIL T) -8 NIL NIL) (-491 1200173 1200241 1200358 "INCRMAPS" 1200536 NIL INCRMAPS (NIL T) -7 NIL NIL) (-490 1195484 1196409 1197353 "INBFF" 1199261 NIL INBFF (NIL T) -7 NIL NIL) (-489 1191979 1195329 1195432 "IMATRIX" 1195437 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL) (-488 1190691 1190814 1191129 "IMATQF" 1191835 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL) (-487 1188911 1189138 1189475 "IMATLIN" 1190447 NIL IMATLIN (NIL T T T T) -7 NIL NIL) (-486 1183537 1188835 1188893 "ILIST" 1188898 NIL ILIST (NIL T NIL) -8 NIL NIL) (-485 1181490 1183397 1183510 "IIARRAY2" 1183515 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL) (-484 1176858 1181401 1181465 "IFF" 1181470 NIL IFF (NIL NIL NIL) -8 NIL NIL) (-483 1171901 1176150 1176338 "IFARRAY" 1176715 NIL IFARRAY (NIL T NIL) -8 NIL NIL) (-482 1171108 1171805 1171878 "IFAMON" 1171883 NIL IFAMON (NIL T T NIL) -8 NIL NIL) (-481 1170691 1170756 1170811 "IEVALAB" 1171018 NIL IEVALAB (NIL T T) -9 NIL NIL) (-480 1170366 1170434 1170594 "IEVALAB-" 1170599 NIL IEVALAB- (NIL T T T) -8 NIL NIL) (-479 1170024 1170280 1170343 "IDPO" 1170348 NIL IDPO (NIL T T) -8 NIL NIL) (-478 1169301 1169913 1169988 "IDPOAMS" 1169993 NIL IDPOAMS (NIL T T) -8 NIL NIL) (-477 1168635 1169190 1169265 "IDPOAM" 1169270 NIL IDPOAM (NIL T T) -8 NIL NIL) (-476 1167720 1167970 1168024 "IDPC" 1168437 NIL IDPC (NIL T T) -9 NIL 1168586) (-475 1167216 1167612 1167685 "IDPAM" 1167690 NIL IDPAM (NIL T T) -8 NIL NIL) (-474 1166619 1167108 1167181 "IDPAG" 1167186 NIL IDPAG (NIL T T) -8 NIL NIL) (-473 1162874 1163722 1164617 "IDECOMP" 1165776 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL) (-472 1155748 1156797 1157844 "IDEAL" 1161910 NIL IDEAL (NIL T T T T) -8 NIL NIL) (-471 1154912 1155024 1155223 "ICDEN" 1155632 NIL ICDEN (NIL T T T T) -7 NIL NIL) (-470 1154011 1154392 1154539 "ICARD" 1154785 T ICARD (NIL) -8 NIL NIL) (-469 1152083 1152396 1152799 "IBPTOOLS" 1153688 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL) (-468 1147697 1151703 1151816 "IBITS" 1152002 NIL IBITS (NIL NIL) -8 NIL NIL) (-467 1144420 1144996 1145691 "IBATOOL" 1147114 NIL IBATOOL (NIL T T T) -7 NIL NIL) (-466 1142200 1142661 1143194 "IBACHIN" 1143955 NIL IBACHIN (NIL T T T) -7 NIL NIL) (-465 1140077 1142046 1142149 "IARRAY2" 1142154 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL) (-464 1136230 1140003 1140060 "IARRAY1" 1140065 NIL IARRAY1 (NIL T NIL) -8 NIL NIL) (-463 1130169 1134648 1135126 "IAN" 1135772 T IAN (NIL) -8 NIL NIL) (-462 1129680 1129737 1129910 "IALGFACT" 1130106 NIL IALGFACT (NIL T T T T) -7 NIL NIL) (-461 1129207 1129320 1129349 "HYPCAT" 1129556 T HYPCAT (NIL) -9 NIL NIL) (-460 1128745 1128862 1129048 "HYPCAT-" 1129053 NIL HYPCAT- (NIL T) -8 NIL NIL) (-459 1125424 1126755 1126797 "HOAGG" 1127778 NIL HOAGG (NIL T) -9 NIL 1128457) (-458 1124018 1124417 1124943 "HOAGG-" 1124948 NIL HOAGG- (NIL T T) -8 NIL NIL) (-457 1117849 1123459 1123625 "HEXADEC" 1123872 T HEXADEC (NIL) -8 NIL NIL) (-456 1116597 1116819 1117082 "HEUGCD" 1117626 NIL HEUGCD (NIL T) -7 NIL NIL) (-455 1115700 1116434 1116564 "HELLFDIV" 1116569 NIL HELLFDIV (NIL T T T T) -8 NIL NIL) (-454 1113928 1115477 1115565 "HEAP" 1115644 NIL HEAP (NIL T) -8 NIL NIL) (-453 1107795 1113843 1113905 "HDP" 1113910 NIL HDP (NIL NIL T) -8 NIL NIL) (-452 1101507 1107432 1107583 "HDMP" 1107696 NIL HDMP (NIL NIL T) -8 NIL NIL) (-451 1100832 1100971 1101135 "HB" 1101363 T HB (NIL) -7 NIL NIL) (-450 1094329 1100678 1100782 "HASHTBL" 1100787 NIL HASHTBL (NIL T T NIL) -8 NIL NIL) (-449 1092082 1093957 1094136 "HACKPI" 1094170 T HACKPI (NIL) -8 NIL NIL) (-448 1087778 1091936 1092048 "GTSET" 1092053 NIL GTSET (NIL T T T T) -8 NIL NIL) (-447 1081304 1087656 1087754 "GSTBL" 1087759 NIL GSTBL (NIL T T T NIL) -8 NIL NIL) (-446 1073540 1080340 1080604 "GSERIES" 1081095 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL) (-445 1072562 1073015 1073044 "GROUP" 1073305 T GROUP (NIL) -9 NIL 1073464) (-444 1071678 1071901 1072245 "GROUP-" 1072250 NIL GROUP- (NIL T) -8 NIL NIL) (-443 1070047 1070366 1070753 "GROEBSOL" 1071355 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL) (-442 1068987 1069249 1069301 "GRMOD" 1069830 NIL GRMOD (NIL T T) -9 NIL 1069998) (-441 1068755 1068791 1068919 "GRMOD-" 1068924 NIL GRMOD- (NIL T T T) -8 NIL NIL) (-440 1064083 1065109 1066109 "GRIMAGE" 1067775 T GRIMAGE (NIL) -8 NIL NIL) (-439 1062550 1062810 1063134 "GRDEF" 1063779 T GRDEF (NIL) -7 NIL NIL) (-438 1061994 1062110 1062251 "GRAY" 1062429 T GRAY (NIL) -7 NIL NIL) (-437 1061227 1061607 1061659 "GRALG" 1061812 NIL GRALG (NIL T T) -9 NIL 1061904) (-436 1060888 1060961 1061124 "GRALG-" 1061129 NIL GRALG- (NIL T T T) -8 NIL NIL) (-435 1057696 1060477 1060653 "GPOLSET" 1060795 NIL GPOLSET (NIL T T T T) -8 NIL NIL) (-434 1057052 1057109 1057366 "GOSPER" 1057633 NIL GOSPER (NIL T T T T T) -7 NIL NIL) (-433 1052811 1053490 1054016 "GMODPOL" 1056751 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL) (-432 1051816 1052000 1052238 "GHENSEL" 1052623 NIL GHENSEL (NIL T T) -7 NIL NIL) (-431 1045882 1046725 1047751 "GENUPS" 1050900 NIL GENUPS (NIL T T) -7 NIL NIL) (-430 1045579 1045630 1045719 "GENUFACT" 1045825 NIL GENUFACT (NIL T) -7 NIL NIL) (-429 1044991 1045068 1045233 "GENPGCD" 1045497 NIL GENPGCD (NIL T T T T) -7 NIL NIL) (-428 1044465 1044500 1044713 "GENMFACT" 1044950 NIL GENMFACT (NIL T T T T T) -7 NIL NIL) (-427 1043033 1043288 1043595 "GENEEZ" 1044208 NIL GENEEZ (NIL T T) -7 NIL NIL) (-426 1036907 1042646 1042807 "GDMP" 1042956 NIL GDMP (NIL NIL T T) -8 NIL NIL) (-425 1026289 1030678 1031784 "GCNAALG" 1035890 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL) (-424 1024710 1025582 1025611 "GCDDOM" 1025866 T GCDDOM (NIL) -9 NIL 1026023) (-423 1024180 1024307 1024522 "GCDDOM-" 1024527 NIL GCDDOM- (NIL T) -8 NIL NIL) (-422 1022852 1023037 1023341 "GB" 1023959 NIL GB (NIL T T T T) -7 NIL NIL) (-421 1011472 1013798 1016190 "GBINTERN" 1020543 NIL GBINTERN (NIL T T T T) -7 NIL NIL) (-420 1009309 1009601 1010022 "GBF" 1011147 NIL GBF (NIL T T T T) -7 NIL NIL) (-419 1008090 1008255 1008522 "GBEUCLID" 1009125 NIL GBEUCLID (NIL T T T T) -7 NIL NIL) (-418 1007439 1007564 1007713 "GAUSSFAC" 1007961 T GAUSSFAC (NIL) -7 NIL NIL) (-417 1005816 1006118 1006431 "GALUTIL" 1007158 NIL GALUTIL (NIL T) -7 NIL NIL) (-416 1004133 1004407 1004730 "GALPOLYU" 1005543 NIL GALPOLYU (NIL T T) -7 NIL NIL) (-415 1001522 1001812 1002217 "GALFACTU" 1003830 NIL GALFACTU (NIL T T T) -7 NIL NIL) (-414 993328 994827 996435 "GALFACT" 999954 NIL GALFACT (NIL T) -7 NIL NIL) (-413 990715 991373 991402 "FVFUN" 992558 T FVFUN (NIL) -9 NIL 993278) (-412 989980 990162 990191 "FVC" 990482 T FVC (NIL) -9 NIL 990665) (-411 989622 989777 989858 "FUNCTION" 989932 NIL FUNCTION (NIL NIL) -8 NIL NIL) (-410 987292 987843 988332 "FT" 989153 T FT (NIL) -8 NIL NIL) (-409 986110 986593 986796 "FTEM" 987109 T FTEM (NIL) -8 NIL NIL) (-408 984375 984663 985065 "FSUPFACT" 985802 NIL FSUPFACT (NIL T T T) -7 NIL NIL) (-407 982772 983061 983393 "FST" 984063 T FST (NIL) -8 NIL NIL) (-406 981947 982053 982247 "FSRED" 982654 NIL FSRED (NIL T T) -7 NIL NIL) (-405 980626 980881 981235 "FSPRMELT" 981662 NIL FSPRMELT (NIL T T) -7 NIL NIL) (-404 977711 978149 978648 "FSPECF" 980189 NIL FSPECF (NIL T T) -7 NIL NIL) (-403 960084 968641 968682 "FS" 972520 NIL FS (NIL T) -9 NIL 974802) (-402 948734 951724 955780 "FS-" 956077 NIL FS- (NIL T T) -8 NIL NIL) (-401 948250 948304 948480 "FSINT" 948675 NIL FSINT (NIL T T) -7 NIL NIL) (-400 946531 947243 947546 "FSERIES" 948029 NIL FSERIES (NIL T T) -8 NIL NIL) (-399 945549 945665 945895 "FSCINT" 946411 NIL FSCINT (NIL T T) -7 NIL NIL) (-398 941783 944493 944535 "FSAGG" 944905 NIL FSAGG (NIL T) -9 NIL 945164) (-397 939545 940146 940942 "FSAGG-" 941037 NIL FSAGG- (NIL T T) -8 NIL NIL) (-396 938587 938730 938957 "FSAGG2" 939398 NIL FSAGG2 (NIL T T T T) -7 NIL NIL) (-395 936246 936525 937078 "FS2UPS" 938305 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL) (-394 935832 935875 936028 "FS2" 936197 NIL FS2 (NIL T T T T) -7 NIL NIL) (-393 934692 934863 935171 "FS2EXPXP" 935657 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL) (-392 934118 934233 934385 "FRUTIL" 934572 NIL FRUTIL (NIL T) -7 NIL NIL) (-391 925539 929617 930973 "FR" 932794 NIL FR (NIL T) -8 NIL NIL) (-390 920615 923258 923299 "FRNAALG" 924695 NIL FRNAALG (NIL T) -9 NIL 925302) (-389 916294 917364 918639 "FRNAALG-" 919389 NIL FRNAALG- (NIL T T) -8 NIL NIL) (-388 915932 915975 916102 "FRNAAF2" 916245 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL) (-387 914297 914789 915083 "FRMOD" 915745 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL) (-386 912020 912688 913004 "FRIDEAL" 914088 NIL FRIDEAL (NIL T T T T) -8 NIL NIL) (-385 911219 911306 911593 "FRIDEAL2" 911927 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL) (-384 910476 910884 910926 "FRETRCT" 910931 NIL FRETRCT (NIL T) -9 NIL 911102) (-383 909588 909819 910170 "FRETRCT-" 910175 NIL FRETRCT- (NIL T T) -8 NIL NIL) (-382 906797 908017 908077 "FRAMALG" 908959 NIL FRAMALG (NIL T T) -9 NIL 909251) (-381 904930 905386 906016 "FRAMALG-" 906239 NIL FRAMALG- (NIL T T T) -8 NIL NIL) (-380 898832 904405 904681 "FRAC" 904686 NIL FRAC (NIL T) -8 NIL NIL) (-379 898468 898525 898632 "FRAC2" 898769 NIL FRAC2 (NIL T T) -7 NIL NIL) (-378 898104 898161 898268 "FR2" 898405 NIL FR2 (NIL T T) -7 NIL NIL) (-377 892777 895690 895719 "FPS" 896838 T FPS (NIL) -9 NIL 897394) (-376 892226 892335 892499 "FPS-" 892645 NIL FPS- (NIL T) -8 NIL NIL) (-375 889674 891371 891400 "FPC" 891625 T FPC (NIL) -9 NIL 891767) (-374 889467 889507 889604 "FPC-" 889609 NIL FPC- (NIL T) -8 NIL NIL) (-373 888345 888955 888997 "FPATMAB" 889002 NIL FPATMAB (NIL T) -9 NIL 889154) (-372 886045 886521 886947 "FPARFRAC" 887982 NIL FPARFRAC (NIL T T) -8 NIL NIL) (-371 881440 881937 882619 "FORTRAN" 885477 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL) (-370 879156 879656 880195 "FORT" 880921 T FORT (NIL) -7 NIL NIL) (-369 876831 877393 877422 "FORTFN" 878482 T FORTFN (NIL) -9 NIL 879106) (-368 876594 876644 876673 "FORTCAT" 876732 T FORTCAT (NIL) -9 NIL 876794) (-367 874654 875137 875536 "FORMULA" 876215 T FORMULA (NIL) -8 NIL NIL) (-366 874442 874472 874541 "FORMULA1" 874618 NIL FORMULA1 (NIL T) -7 NIL NIL) (-365 873965 874017 874190 "FORDER" 874384 NIL FORDER (NIL T T T T) -7 NIL NIL) (-364 873061 873225 873418 "FOP" 873792 T FOP (NIL) -7 NIL NIL) (-363 871669 872341 872515 "FNLA" 872943 NIL FNLA (NIL NIL NIL T) -8 NIL NIL) (-362 870337 870726 870755 "FNCAT" 871327 T FNCAT (NIL) -9 NIL 871620) (-361 869903 870296 870324 "FNAME" 870329 T FNAME (NIL) -8 NIL NIL) (-360 868562 869535 869564 "FMTC" 869569 T FMTC (NIL) -9 NIL 869604) (-359 864880 866087 866715 "FMONOID" 867967 NIL FMONOID (NIL T) -8 NIL NIL) (-358 864100 864623 864771 "FM" 864776 NIL FM (NIL T T) -8 NIL NIL) (-357 861523 862169 862198 "FMFUN" 863342 T FMFUN (NIL) -9 NIL 864050) (-356 860791 860972 861001 "FMC" 861291 T FMC (NIL) -9 NIL 861473) (-355 858020 858854 858908 "FMCAT" 860090 NIL FMCAT (NIL T T) -9 NIL 860584) (-354 856915 857788 857887 "FM1" 857965 NIL FM1 (NIL T T) -8 NIL NIL) (-353 854689 855105 855599 "FLOATRP" 856466 NIL FLOATRP (NIL T) -7 NIL NIL) (-352 848175 852345 852975 "FLOAT" 854079 T FLOAT (NIL) -8 NIL NIL) (-351 845613 846113 846691 "FLOATCP" 847642 NIL FLOATCP (NIL T) -7 NIL NIL) (-350 844401 845249 845290 "FLINEXP" 845295 NIL FLINEXP (NIL T) -9 NIL 845388) (-349 843556 843791 844118 "FLINEXP-" 844123 NIL FLINEXP- (NIL T T) -8 NIL NIL) (-348 842632 842776 843000 "FLASORT" 843408 NIL FLASORT (NIL T T) -7 NIL NIL) (-347 839850 840692 840745 "FLALG" 841972 NIL FLALG (NIL T T) -9 NIL 842439) (-346 833634 837336 837378 "FLAGG" 838640 NIL FLAGG (NIL T) -9 NIL 839292) (-345 832360 832699 833189 "FLAGG-" 833194 NIL FLAGG- (NIL T T) -8 NIL NIL) (-344 831402 831545 831772 "FLAGG2" 832213 NIL FLAGG2 (NIL T T T T) -7 NIL NIL) (-343 828374 829392 829452 "FINRALG" 830580 NIL FINRALG (NIL T T) -9 NIL 831088) (-342 827534 827763 828102 "FINRALG-" 828107 NIL FINRALG- (NIL T T T) -8 NIL NIL) (-341 826940 827153 827182 "FINITE" 827378 T FINITE (NIL) -9 NIL 827485) (-340 819399 821560 821601 "FINAALG" 825268 NIL FINAALG (NIL T) -9 NIL 826721) (-339 814740 815781 816925 "FINAALG-" 818304 NIL FINAALG- (NIL T T) -8 NIL NIL) (-338 814135 814495 814598 "FILE" 814670 NIL FILE (NIL T) -8 NIL NIL) (-337 812819 813131 813186 "FILECAT" 813870 NIL FILECAT (NIL T T) -9 NIL 814086) (-336 810681 812237 812266 "FIELD" 812306 T FIELD (NIL) -9 NIL 812386) (-335 809301 809686 810197 "FIELD-" 810202 NIL FIELD- (NIL T) -8 NIL NIL) (-334 807116 807938 808284 "FGROUP" 808988 NIL FGROUP (NIL T) -8 NIL NIL) (-333 806206 806370 806590 "FGLMICPK" 806948 NIL FGLMICPK (NIL T NIL) -7 NIL NIL) (-332 802008 806131 806188 "FFX" 806193 NIL FFX (NIL T NIL) -8 NIL NIL) (-331 801609 801670 801805 "FFSLPE" 801941 NIL FFSLPE (NIL T T T) -7 NIL NIL) (-330 797604 798381 799177 "FFPOLY" 800845 NIL FFPOLY (NIL T) -7 NIL NIL) (-329 797108 797144 797353 "FFPOLY2" 797562 NIL FFPOLY2 (NIL T T) -7 NIL NIL) (-328 792930 797027 797090 "FFP" 797095 NIL FFP (NIL T NIL) -8 NIL NIL) (-327 788298 792841 792905 "FF" 792910 NIL FF (NIL NIL NIL) -8 NIL NIL) (-326 783394 787641 787831 "FFNBX" 788152 NIL FFNBX (NIL T NIL) -8 NIL NIL) (-325 778304 782529 782787 "FFNBP" 783248 NIL FFNBP (NIL T NIL) -8 NIL NIL) (-324 772907 777588 777799 "FFNB" 778137 NIL FFNB (NIL NIL NIL) -8 NIL NIL) (-323 771739 771937 772252 "FFINTBAS" 772704 NIL FFINTBAS (NIL T T T) -7 NIL NIL) (-322 767962 770202 770231 "FFIELDC" 770851 T FFIELDC (NIL) -9 NIL 771227) (-321 766625 766995 767492 "FFIELDC-" 767497 NIL FFIELDC- (NIL T) -8 NIL NIL) (-320 766195 766240 766364 "FFHOM" 766567 NIL FFHOM (NIL T T T) -7 NIL NIL) (-319 763893 764377 764894 "FFF" 765710 NIL FFF (NIL T) -7 NIL NIL) (-318 759481 763635 763736 "FFCGX" 763836 NIL FFCGX (NIL T NIL) -8 NIL NIL) (-317 755083 759213 759320 "FFCGP" 759424 NIL FFCGP (NIL T NIL) -8 NIL NIL) (-316 750236 754810 754918 "FFCG" 755019 NIL FFCG (NIL NIL NIL) -8 NIL NIL) (-315 732181 741304 741391 "FFCAT" 746556 NIL FFCAT (NIL T T T) -9 NIL 748043) (-314 727379 728426 729740 "FFCAT-" 730970 NIL FFCAT- (NIL T T T T) -8 NIL NIL) (-313 726790 726833 727068 "FFCAT2" 727330 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-312 715990 719780 720997 "FEXPR" 725645 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL) (-311 714989 715424 715466 "FEVALAB" 715550 NIL FEVALAB (NIL T) -9 NIL 715811) (-310 714148 714358 714696 "FEVALAB-" 714701 NIL FEVALAB- (NIL T T) -8 NIL NIL) (-309 712741 713531 713734 "FDIV" 714047 NIL FDIV (NIL T T T T) -8 NIL NIL) (-308 709807 710522 710638 "FDIVCAT" 712206 NIL FDIVCAT (NIL T T T T) -9 NIL 712643) (-307 709569 709596 709766 "FDIVCAT-" 709771 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL) (-306 708789 708876 709153 "FDIV2" 709476 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL) (-305 707475 707734 708023 "FCPAK1" 708520 T FCPAK1 (NIL) -7 NIL NIL) (-304 706603 706975 707116 "FCOMP" 707366 NIL FCOMP (NIL T) -8 NIL NIL) (-303 690231 693646 697209 "FC" 703060 T FC (NIL) -8 NIL NIL) (-302 682826 686872 686913 "FAXF" 688715 NIL FAXF (NIL T) -9 NIL 689406) (-301 680105 680760 681585 "FAXF-" 682050 NIL FAXF- (NIL T T) -8 NIL NIL) (-300 675205 679481 679657 "FARRAY" 679962 NIL FARRAY (NIL T) -8 NIL NIL) (-299 670595 672666 672719 "FAMR" 673731 NIL FAMR (NIL T T) -9 NIL 674191) (-298 669486 669788 670222 "FAMR-" 670227 NIL FAMR- (NIL T T T) -8 NIL NIL) (-297 668682 669408 669461 "FAMONOID" 669466 NIL FAMONOID (NIL T) -8 NIL NIL) (-296 666514 667198 667252 "FAMONC" 668193 NIL FAMONC (NIL T T) -9 NIL 668578) (-295 665206 666268 666405 "FAGROUP" 666410 NIL FAGROUP (NIL T) -8 NIL NIL) (-294 663009 663328 663730 "FACUTIL" 664887 NIL FACUTIL (NIL T T T T) -7 NIL NIL) (-293 662108 662293 662515 "FACTFUNC" 662819 NIL FACTFUNC (NIL T) -7 NIL NIL) (-292 654431 661359 661571 "EXPUPXS" 661964 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL) (-291 651914 652454 653040 "EXPRTUBE" 653865 T EXPRTUBE (NIL) -7 NIL NIL) (-290 648108 648700 649437 "EXPRODE" 651253 NIL EXPRODE (NIL T T) -7 NIL NIL) (-289 633267 646767 647193 "EXPR" 647714 NIL EXPR (NIL T) -8 NIL NIL) (-288 627695 628282 629094 "EXPR2UPS" 632565 NIL EXPR2UPS (NIL T T) -7 NIL NIL) (-287 627331 627388 627495 "EXPR2" 627632 NIL EXPR2 (NIL T T) -7 NIL NIL) (-286 618685 626468 626763 "EXPEXPAN" 627169 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL) (-285 618512 618642 618671 "EXIT" 618676 T EXIT (NIL) -8 NIL NIL) (-284 618139 618201 618314 "EVALCYC" 618444 NIL EVALCYC (NIL T) -7 NIL NIL) (-283 617679 617797 617839 "EVALAB" 618009 NIL EVALAB (NIL T) -9 NIL 618113) (-282 617160 617282 617503 "EVALAB-" 617508 NIL EVALAB- (NIL T T) -8 NIL NIL) (-281 614622 615934 615963 "EUCDOM" 616518 T EUCDOM (NIL) -9 NIL 616868) (-280 613027 613469 614059 "EUCDOM-" 614064 NIL EUCDOM- (NIL T) -8 NIL NIL) (-279 600605 603353 606093 "ESTOOLS" 610307 T ESTOOLS (NIL) -7 NIL NIL) (-278 600241 600298 600405 "ESTOOLS2" 600542 NIL ESTOOLS2 (NIL T T) -7 NIL NIL) (-277 599992 600034 600114 "ESTOOLS1" 600193 NIL ESTOOLS1 (NIL T) -7 NIL NIL) (-276 593929 595653 595682 "ES" 598446 T ES (NIL) -9 NIL 599852) (-275 588877 590163 591980 "ES-" 592144 NIL ES- (NIL T) -8 NIL NIL) (-274 585252 586012 586792 "ESCONT" 588117 T ESCONT (NIL) -7 NIL NIL) (-273 584997 585029 585111 "ESCONT1" 585214 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL) (-272 584672 584722 584822 "ES2" 584941 NIL ES2 (NIL T T) -7 NIL NIL) (-271 584302 584360 584469 "ES1" 584608 NIL ES1 (NIL T T) -7 NIL NIL) (-270 583518 583647 583823 "ERROR" 584146 T ERROR (NIL) -7 NIL NIL) (-269 577021 583377 583468 "EQTBL" 583473 NIL EQTBL (NIL T T) -8 NIL NIL) (-268 569458 572339 573786 "EQ" 575607 NIL -3086 (NIL T) -8 NIL NIL) (-267 569090 569147 569256 "EQ2" 569395 NIL EQ2 (NIL T T) -7 NIL NIL) (-266 564382 565428 566521 "EP" 568029 NIL EP (NIL T) -7 NIL NIL) (-265 562969 563268 563584 "ENV" 564086 T ENV (NIL) -8 NIL NIL) (-264 562128 562692 562721 "ENTIRER" 562726 T ENTIRER (NIL) -9 NIL 562771) (-263 558584 560083 560453 "EMR" 561927 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL) (-262 557727 557912 557967 "ELTAGG" 558347 NIL ELTAGG (NIL T T) -9 NIL 558558) (-261 557446 557508 557649 "ELTAGG-" 557654 NIL ELTAGG- (NIL T T T) -8 NIL NIL) (-260 557234 557263 557318 "ELTAB" 557402 NIL ELTAB (NIL T T) -9 NIL NIL) (-259 556360 556506 556705 "ELFUTS" 557085 NIL ELFUTS (NIL T T) -7 NIL NIL) (-258 556101 556157 556186 "ELEMFUN" 556291 T ELEMFUN (NIL) -9 NIL NIL) (-257 555971 555992 556060 "ELEMFUN-" 556065 NIL ELEMFUN- (NIL T) -8 NIL NIL) (-256 550862 554071 554113 "ELAGG" 555053 NIL ELAGG (NIL T) -9 NIL 555516) (-255 549147 549581 550244 "ELAGG-" 550249 NIL ELAGG- (NIL T T) -8 NIL NIL) (-254 542015 543814 544641 "EFUPXS" 548423 NIL EFUPXS (NIL T T T T) -8 NIL NIL) (-253 535465 537266 538076 "EFULS" 541291 NIL EFULS (NIL T T T) -8 NIL NIL) (-252 532896 533254 533732 "EFSTRUC" 535097 NIL EFSTRUC (NIL T T) -7 NIL NIL) (-251 521968 523533 525093 "EF" 531411 NIL EF (NIL T T) -7 NIL NIL) (-250 521069 521453 521602 "EAB" 521839 T EAB (NIL) -8 NIL NIL) (-249 520282 521028 521056 "E04UCFA" 521061 T E04UCFA (NIL) -8 NIL NIL) (-248 519495 520241 520269 "E04NAFA" 520274 T E04NAFA (NIL) -8 NIL NIL) (-247 518708 519454 519482 "E04MBFA" 519487 T E04MBFA (NIL) -8 NIL NIL) (-246 517921 518667 518695 "E04JAFA" 518700 T E04JAFA (NIL) -8 NIL NIL) (-245 517136 517880 517908 "E04GCFA" 517913 T E04GCFA (NIL) -8 NIL NIL) (-244 516351 517095 517123 "E04FDFA" 517128 T E04FDFA (NIL) -8 NIL NIL) (-243 515564 516310 516338 "E04DGFA" 516343 T E04DGFA (NIL) -8 NIL NIL) (-242 509749 511094 512456 "E04AGNT" 514222 T E04AGNT (NIL) -7 NIL NIL) (-241 508475 508955 508996 "DVARCAT" 509471 NIL DVARCAT (NIL T) -9 NIL 509669) (-240 507679 507891 508205 "DVARCAT-" 508210 NIL DVARCAT- (NIL T T) -8 NIL NIL) (-239 500541 507481 507608 "DSMP" 507613 NIL DSMP (NIL T T T) -8 NIL NIL) (-238 495351 496486 497554 "DROPT" 499493 T DROPT (NIL) -8 NIL NIL) (-237 495016 495075 495173 "DROPT1" 495286 NIL DROPT1 (NIL T) -7 NIL NIL) (-236 490131 491257 492394 "DROPT0" 493899 T DROPT0 (NIL) -7 NIL NIL) (-235 488476 488801 489187 "DRAWPT" 489765 T DRAWPT (NIL) -7 NIL NIL) (-234 483063 483986 485065 "DRAW" 487450 NIL DRAW (NIL T) -7 NIL NIL) (-233 482696 482749 482867 "DRAWHACK" 483004 NIL DRAWHACK (NIL T) -7 NIL NIL) (-232 481427 481696 481987 "DRAWCX" 482425 T DRAWCX (NIL) -7 NIL NIL) (-231 480945 481013 481163 "DRAWCURV" 481353 NIL DRAWCURV (NIL T T) -7 NIL NIL) (-230 471417 473375 475490 "DRAWCFUN" 478850 T DRAWCFUN (NIL) -7 NIL NIL) (-229 468230 470112 470154 "DQAGG" 470783 NIL DQAGG (NIL T) -9 NIL 471056) (-228 456736 463474 463557 "DPOLCAT" 465395 NIL DPOLCAT (NIL T T T T) -9 NIL 465939) (-227 451576 452922 454879 "DPOLCAT-" 454884 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL) (-226 445660 451438 451535 "DPMO" 451540 NIL DPMO (NIL NIL T T) -8 NIL NIL) (-225 439647 445441 445607 "DPMM" 445612 NIL DPMM (NIL NIL T T T) -8 NIL NIL) (-224 439280 439356 439454 "DOMAIN" 439569 T DOMAIN (NIL) -8 NIL NIL) (-223 432992 438917 439068 "DMP" 439181 NIL DMP (NIL NIL T) -8 NIL NIL) (-222 432592 432648 432792 "DLP" 432930 NIL DLP (NIL T) -7 NIL NIL) (-221 426236 431693 431920 "DLIST" 432397 NIL DLIST (NIL T) -8 NIL NIL) (-220 423082 425091 425133 "DLAGG" 425683 NIL DLAGG (NIL T) -9 NIL 425912) (-219 421791 422483 422512 "DIVRING" 422662 T DIVRING (NIL) -9 NIL 422770) (-218 420779 421032 421425 "DIVRING-" 421430 NIL DIVRING- (NIL T) -8 NIL NIL) (-217 418881 419238 419644 "DISPLAY" 420393 T DISPLAY (NIL) -7 NIL NIL) (-216 412770 418795 418858 "DIRPROD" 418863 NIL DIRPROD (NIL NIL T) -8 NIL NIL) (-215 411618 411821 412086 "DIRPROD2" 412563 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL) (-214 401248 407253 407307 "DIRPCAT" 407715 NIL DIRPCAT (NIL NIL T) -9 NIL 408542) (-213 398574 399216 400097 "DIRPCAT-" 400434 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL) (-212 397861 398021 398207 "DIOSP" 398408 T DIOSP (NIL) -7 NIL NIL) (-211 394563 396773 396815 "DIOPS" 397249 NIL DIOPS (NIL T) -9 NIL 397478) (-210 394112 394226 394417 "DIOPS-" 394422 NIL DIOPS- (NIL T T) -8 NIL NIL) (-209 392983 393621 393650 "DIFRING" 393837 T DIFRING (NIL) -9 NIL 393946) (-208 392629 392706 392858 "DIFRING-" 392863 NIL DIFRING- (NIL T) -8 NIL NIL) (-207 390418 391700 391741 "DIFEXT" 392100 NIL DIFEXT (NIL T) -9 NIL 392393) (-206 388704 389132 389797 "DIFEXT-" 389802 NIL DIFEXT- (NIL T T) -8 NIL NIL) (-205 386026 388236 388278 "DIAGG" 388283 NIL DIAGG (NIL T) -9 NIL 388303) (-204 385410 385567 385819 "DIAGG-" 385824 NIL DIAGG- (NIL T T) -8 NIL NIL) (-203 380875 384369 384646 "DHMATRIX" 385179 NIL DHMATRIX (NIL T) -8 NIL NIL) (-202 376487 377396 378406 "DFSFUN" 379885 T DFSFUN (NIL) -7 NIL NIL) (-201 371273 375201 375566 "DFLOAT" 376142 T DFLOAT (NIL) -8 NIL NIL) (-200 369506 369787 370182 "DFINTTLS" 370981 NIL DFINTTLS (NIL T T) -7 NIL NIL) (-199 366539 367541 367939 "DERHAM" 369173 NIL DERHAM (NIL T NIL) -8 NIL NIL) (-198 364388 366314 366403 "DEQUEUE" 366483 NIL DEQUEUE (NIL T) -8 NIL NIL) (-197 363606 363739 363934 "DEGRED" 364250 NIL DEGRED (NIL T T) -7 NIL NIL) (-196 360006 360751 361603 "DEFINTRF" 362834 NIL DEFINTRF (NIL T) -7 NIL NIL) (-195 357537 358006 358604 "DEFINTEF" 359525 NIL DEFINTEF (NIL T T) -7 NIL NIL) (-194 351368 356978 357144 "DECIMAL" 357391 T DECIMAL (NIL) -8 NIL NIL) (-193 348880 349338 349844 "DDFACT" 350912 NIL DDFACT (NIL T T) -7 NIL NIL) (-192 348476 348519 348670 "DBLRESP" 348831 NIL DBLRESP (NIL T T T T) -7 NIL NIL) (-191 346186 346520 346889 "DBASE" 348234 NIL DBASE (NIL T) -8 NIL NIL) (-190 345321 346145 346173 "D03FAFA" 346178 T D03FAFA (NIL) -8 NIL NIL) (-189 344457 345280 345308 "D03EEFA" 345313 T D03EEFA (NIL) -8 NIL NIL) (-188 342407 342873 343362 "D03AGNT" 343988 T D03AGNT (NIL) -7 NIL NIL) (-187 341725 342366 342394 "D02EJFA" 342399 T D02EJFA (NIL) -8 NIL NIL) (-186 341043 341684 341712 "D02CJFA" 341717 T D02CJFA (NIL) -8 NIL NIL) (-185 340361 341002 341030 "D02BHFA" 341035 T D02BHFA (NIL) -8 NIL NIL) (-184 339679 340320 340348 "D02BBFA" 340353 T D02BBFA (NIL) -8 NIL NIL) (-183 332877 334465 336071 "D02AGNT" 338093 T D02AGNT (NIL) -7 NIL NIL) (-182 330646 331168 331714 "D01WGTS" 332351 T D01WGTS (NIL) -7 NIL NIL) (-181 329749 330605 330633 "D01TRNS" 330638 T D01TRNS (NIL) -8 NIL NIL) (-180 328852 329708 329736 "D01GBFA" 329741 T D01GBFA (NIL) -8 NIL NIL) (-179 327955 328811 328839 "D01FCFA" 328844 T D01FCFA (NIL) -8 NIL NIL) (-178 327058 327914 327942 "D01ASFA" 327947 T D01ASFA (NIL) -8 NIL NIL) (-177 326161 327017 327045 "D01AQFA" 327050 T D01AQFA (NIL) -8 NIL NIL) (-176 325264 326120 326148 "D01APFA" 326153 T D01APFA (NIL) -8 NIL NIL) (-175 324367 325223 325251 "D01ANFA" 325256 T D01ANFA (NIL) -8 NIL NIL) (-174 323470 324326 324354 "D01AMFA" 324359 T D01AMFA (NIL) -8 NIL NIL) (-173 322573 323429 323457 "D01ALFA" 323462 T D01ALFA (NIL) -8 NIL NIL) (-172 321676 322532 322560 "D01AKFA" 322565 T D01AKFA (NIL) -8 NIL NIL) (-171 320779 321635 321663 "D01AJFA" 321668 T D01AJFA (NIL) -8 NIL NIL) (-170 314083 315632 317191 "D01AGNT" 319240 T D01AGNT (NIL) -7 NIL NIL) (-169 313420 313548 313700 "CYCLOTOM" 313951 T CYCLOTOM (NIL) -7 NIL NIL) (-168 310155 310868 311595 "CYCLES" 312713 T CYCLES (NIL) -7 NIL NIL) (-167 309467 309601 309772 "CVMP" 310016 NIL CVMP (NIL T) -7 NIL NIL) (-166 307249 307506 307881 "CTRIGMNP" 309195 NIL CTRIGMNP (NIL T T) -7 NIL NIL) (-165 306623 306722 306875 "CSTTOOLS" 307146 NIL CSTTOOLS (NIL T T) -7 NIL NIL) (-164 302422 303079 303837 "CRFP" 305935 NIL CRFP (NIL T T) -7 NIL NIL) (-163 301469 301654 301882 "CRAPACK" 302226 NIL CRAPACK (NIL T) -7 NIL NIL) (-162 300853 300954 301158 "CPMATCH" 301345 NIL CPMATCH (NIL T T T) -7 NIL NIL) (-161 300578 300606 300712 "CPIMA" 300819 NIL CPIMA (NIL T T T) -7 NIL NIL) (-160 296942 297614 298332 "COORDSYS" 299913 NIL COORDSYS (NIL T) -7 NIL NIL) (-159 296326 296455 296605 "CONTOUR" 296812 T CONTOUR (NIL) -8 NIL NIL) (-158 292187 294329 294821 "CONTFRAC" 295866 NIL CONTFRAC (NIL T) -8 NIL NIL) (-157 291340 291904 291933 "COMRING" 291938 T COMRING (NIL) -9 NIL 291989) (-156 290421 290698 290882 "COMPPROP" 291176 T COMPPROP (NIL) -8 NIL NIL) (-155 290082 290117 290245 "COMPLPAT" 290380 NIL COMPLPAT (NIL T T T) -7 NIL NIL) (-154 280063 289891 290000 "COMPLEX" 290005 NIL COMPLEX (NIL T) -8 NIL NIL) (-153 279699 279756 279863 "COMPLEX2" 280000 NIL COMPLEX2 (NIL T T) -7 NIL NIL) (-152 279417 279452 279550 "COMPFACT" 279658 NIL COMPFACT (NIL T T) -7 NIL NIL) (-151 263751 274045 274086 "COMPCAT" 275088 NIL COMPCAT (NIL T) -9 NIL 276481) (-150 253266 256190 259817 "COMPCAT-" 260173 NIL COMPCAT- (NIL T T) -8 NIL NIL) (-149 252997 253025 253127 "COMMUPC" 253232 NIL COMMUPC (NIL T T T) -7 NIL NIL) (-148 252792 252825 252884 "COMMONOP" 252958 T COMMONOP (NIL) -7 NIL NIL) (-147 252375 252543 252630 "COMM" 252725 T COMM (NIL) -8 NIL NIL) (-146 251623 251817 251846 "COMBOPC" 252184 T COMBOPC (NIL) -9 NIL 252359) (-145 250519 250729 250971 "COMBINAT" 251413 NIL COMBINAT (NIL T) -7 NIL NIL) (-144 246717 247290 247930 "COMBF" 249941 NIL COMBF (NIL T T) -7 NIL NIL) (-143 245503 245833 246068 "COLOR" 246502 T COLOR (NIL) -8 NIL NIL) (-142 245143 245190 245315 "CMPLXRT" 245450 NIL CMPLXRT (NIL T T) -7 NIL NIL) (-141 240645 241673 242753 "CLIP" 244083 T CLIP (NIL) -7 NIL NIL) (-140 238983 239753 239991 "CLIF" 240473 NIL CLIF (NIL NIL T NIL) -8 NIL NIL) (-139 235205 237129 237171 "CLAGG" 238100 NIL CLAGG (NIL T) -9 NIL 238636) (-138 233627 234084 234667 "CLAGG-" 234672 NIL CLAGG- (NIL T T) -8 NIL NIL) (-137 233171 233256 233396 "CINTSLPE" 233536 NIL CINTSLPE (NIL T T) -7 NIL NIL) (-136 230672 231143 231691 "CHVAR" 232699 NIL CHVAR (NIL T T T) -7 NIL NIL) (-135 229894 230458 230487 "CHARZ" 230492 T CHARZ (NIL) -9 NIL 230506) (-134 229648 229688 229766 "CHARPOL" 229848 NIL CHARPOL (NIL T) -7 NIL NIL) (-133 228754 229351 229380 "CHARNZ" 229427 T CHARNZ (NIL) -9 NIL 229482) (-132 226777 227444 227779 "CHAR" 228439 T CHAR (NIL) -8 NIL NIL) (-131 226502 226563 226592 "CFCAT" 226703 T CFCAT (NIL) -9 NIL NIL) (-130 225747 225858 226040 "CDEN" 226386 NIL CDEN (NIL T T T) -7 NIL NIL) (-129 221739 224900 225180 "CCLASS" 225487 T CCLASS (NIL) -8 NIL NIL) (-128 216792 217768 218521 "CARTEN" 221042 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL) (-127 215900 216048 216269 "CARTEN2" 216639 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL) (-126 214197 215052 215308 "CARD" 215664 T CARD (NIL) -8 NIL NIL) (-125 213569 213897 213926 "CACHSET" 214058 T CACHSET (NIL) -9 NIL 214135) (-124 213065 213361 213390 "CABMON" 213440 T CABMON (NIL) -9 NIL 213496) (-123 210622 212757 212864 "BTREE" 212991 NIL BTREE (NIL T) -8 NIL NIL) (-122 208120 210270 210392 "BTOURN" 210532 NIL BTOURN (NIL T) -8 NIL NIL) (-121 205538 207591 207633 "BTCAT" 207701 NIL BTCAT (NIL T) -9 NIL 207778) (-120 205205 205285 205434 "BTCAT-" 205439 NIL BTCAT- (NIL T T) -8 NIL NIL) (-119 200425 204296 204325 "BTAGG" 204581 T BTAGG (NIL) -9 NIL 204760) (-118 199848 199992 200222 "BTAGG-" 200227 NIL BTAGG- (NIL T) -8 NIL NIL) (-117 196892 199126 199341 "BSTREE" 199665 NIL BSTREE (NIL T) -8 NIL NIL) (-116 196030 196156 196340 "BRILL" 196748 NIL BRILL (NIL T) -7 NIL NIL) (-115 192731 194758 194800 "BRAGG" 195449 NIL BRAGG (NIL T) -9 NIL 195706) (-114 191260 191666 192221 "BRAGG-" 192226 NIL BRAGG- (NIL T T) -8 NIL NIL) (-113 184468 190606 190790 "BPADICRT" 191108 NIL BPADICRT (NIL NIL) -8 NIL NIL) (-112 182772 184405 184450 "BPADIC" 184455 NIL BPADIC (NIL NIL) -8 NIL NIL) (-111 182472 182502 182615 "BOUNDZRO" 182736 NIL BOUNDZRO (NIL T T) -7 NIL NIL) (-110 177987 179078 179945 "BOP" 181625 T BOP (NIL) -8 NIL NIL) (-109 175608 176052 176572 "BOP1" 177500 NIL BOP1 (NIL T) -7 NIL NIL) (-108 174227 174938 175161 "BOOLEAN" 175405 T BOOLEAN (NIL) -8 NIL NIL) (-107 173593 173971 174024 "BMODULE" 174029 NIL BMODULE (NIL T T) -9 NIL 174093) (-106 169403 173391 173464 "BITS" 173540 T BITS (NIL) -8 NIL NIL) (-105 168500 168935 169087 "BINFILE" 169271 T BINFILE (NIL) -8 NIL NIL) (-104 167912 168034 168176 "BINDING" 168378 T BINDING (NIL) -8 NIL NIL) (-103 161747 167356 167521 "BINARY" 167767 T BINARY (NIL) -8 NIL NIL) (-102 159574 161002 161044 "BGAGG" 161304 NIL BGAGG (NIL T) -9 NIL 161441) (-101 159405 159437 159528 "BGAGG-" 159533 NIL BGAGG- (NIL T T) -8 NIL NIL) (-100 158503 158789 158994 "BFUNCT" 159220 T BFUNCT (NIL) -8 NIL NIL) (-99 157204 157382 157667 "BEZOUT" 158327 NIL BEZOUT (NIL T T T T T) -7 NIL NIL) (-98 153729 156064 156392 "BBTREE" 156907 NIL BBTREE (NIL T) -8 NIL NIL) (-97 153466 153519 153546 "BASTYPE" 153663 T BASTYPE (NIL) -9 NIL NIL) (-96 153321 153350 153420 "BASTYPE-" 153425 NIL BASTYPE- (NIL T) -8 NIL NIL) (-95 152759 152835 152985 "BALFACT" 153232 NIL BALFACT (NIL T T) -7 NIL NIL) (-94 151581 152178 152363 "AUTOMOR" 152604 NIL AUTOMOR (NIL T) -8 NIL NIL) (-93 151306 151311 151338 "ATTREG" 151343 T ATTREG (NIL) -9 NIL NIL) (-92 149585 150003 150355 "ATTRBUT" 150972 T ATTRBUT (NIL) -8 NIL NIL) (-91 149120 149233 149260 "ATRIG" 149461 T ATRIG (NIL) -9 NIL NIL) (-90 148929 148970 149057 "ATRIG-" 149062 NIL ATRIG- (NIL T) -8 NIL NIL) (-89 147126 148705 148793 "ASTACK" 148872 NIL ASTACK (NIL T) -8 NIL NIL) (-88 145631 145928 146293 "ASSOCEQ" 146808 NIL ASSOCEQ (NIL T T) -7 NIL NIL) (-87 144663 145290 145414 "ASP9" 145538 NIL ASP9 (NIL NIL) -8 NIL NIL) (-86 144427 144611 144650 "ASP8" 144655 NIL ASP8 (NIL NIL) -8 NIL NIL) (-85 143297 144032 144174 "ASP80" 144316 NIL ASP80 (NIL NIL) -8 NIL NIL) (-84 142196 142932 143064 "ASP7" 143196 NIL ASP7 (NIL NIL) -8 NIL NIL) (-83 141152 141873 141991 "ASP78" 142109 NIL ASP78 (NIL NIL) -8 NIL NIL) (-82 140123 140832 140949 "ASP77" 141066 NIL ASP77 (NIL NIL) -8 NIL NIL) (-81 139038 139761 139892 "ASP74" 140023 NIL ASP74 (NIL NIL) -8 NIL NIL) (-80 137939 138673 138805 "ASP73" 138937 NIL ASP73 (NIL NIL) -8 NIL NIL) (-79 136894 137616 137734 "ASP6" 137852 NIL ASP6 (NIL NIL) -8 NIL NIL) (-78 135843 136571 136689 "ASP55" 136807 NIL ASP55 (NIL NIL) -8 NIL NIL) (-77 134793 135517 135636 "ASP50" 135755 NIL ASP50 (NIL NIL) -8 NIL NIL) (-76 133881 134494 134604 "ASP4" 134714 NIL ASP4 (NIL NIL) -8 NIL NIL) (-75 132969 133582 133692 "ASP49" 133802 NIL ASP49 (NIL NIL) -8 NIL NIL) (-74 131754 132508 132676 "ASP42" 132858 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL) (-73 130532 131287 131457 "ASP41" 131641 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL) (-72 129484 130209 130327 "ASP35" 130445 NIL ASP35 (NIL NIL) -8 NIL NIL) (-71 129249 129432 129471 "ASP34" 129476 NIL ASP34 (NIL NIL) -8 NIL NIL) (-70 128986 129053 129129 "ASP33" 129204 NIL ASP33 (NIL NIL) -8 NIL NIL) (-69 127882 128621 128753 "ASP31" 128885 NIL ASP31 (NIL NIL) -8 NIL NIL) (-68 127647 127830 127869 "ASP30" 127874 NIL ASP30 (NIL NIL) -8 NIL NIL) (-67 127382 127451 127527 "ASP29" 127602 NIL ASP29 (NIL NIL) -8 NIL NIL) (-66 127147 127330 127369 "ASP28" 127374 NIL ASP28 (NIL NIL) -8 NIL NIL) (-65 126912 127095 127134 "ASP27" 127139 NIL ASP27 (NIL NIL) -8 NIL NIL) (-64 125996 126610 126721 "ASP24" 126832 NIL ASP24 (NIL NIL) -8 NIL NIL) (-63 124913 125637 125767 "ASP20" 125897 NIL ASP20 (NIL NIL) -8 NIL NIL) (-62 124001 124614 124724 "ASP1" 124834 NIL ASP1 (NIL NIL) -8 NIL NIL) (-61 122945 123675 123794 "ASP19" 123913 NIL ASP19 (NIL NIL) -8 NIL NIL) (-60 122682 122749 122825 "ASP12" 122900 NIL ASP12 (NIL NIL) -8 NIL NIL) (-59 121535 122281 122425 "ASP10" 122569 NIL ASP10 (NIL NIL) -8 NIL NIL) (-58 119434 121379 121470 "ARRAY2" 121475 NIL ARRAY2 (NIL T) -8 NIL NIL) (-57 115250 119082 119196 "ARRAY1" 119351 NIL ARRAY1 (NIL T) -8 NIL NIL) (-56 114282 114455 114676 "ARRAY12" 115073 NIL ARRAY12 (NIL T T) -7 NIL NIL) (-55 108641 110512 110588 "ARR2CAT" 113218 NIL ARR2CAT (NIL T T T) -9 NIL 113976) (-54 106075 106819 107773 "ARR2CAT-" 107778 NIL ARR2CAT- (NIL T T T T) -8 NIL NIL) (-53 104835 104985 105288 "APPRULE" 105913 NIL APPRULE (NIL T T T) -7 NIL NIL) (-52 104488 104536 104654 "APPLYORE" 104781 NIL APPLYORE (NIL T T T) -7 NIL NIL) (-51 103462 103753 103948 "ANY" 104311 T ANY (NIL) -8 NIL NIL) (-50 102740 102863 103020 "ANY1" 103336 NIL ANY1 (NIL T) -7 NIL NIL) (-49 100272 101190 101515 "ANTISYM" 102465 NIL ANTISYM (NIL T NIL) -8 NIL NIL) (-48 100099 100231 100258 "ANON" 100263 T ANON (NIL) -8 NIL NIL) (-47 94176 98644 99095 "AN" 99666 T AN (NIL) -8 NIL NIL) (-46 90529 91927 91978 "AMR" 92717 NIL AMR (NIL T T) -9 NIL 93316) (-45 89642 89863 90225 "AMR-" 90230 NIL AMR- (NIL T T T) -8 NIL NIL) (-44 74192 89559 89620 "ALIST" 89625 NIL ALIST (NIL T T) -8 NIL NIL) (-43 71029 73786 73955 "ALGSC" 74110 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL) (-42 67585 68139 68746 "ALGPKG" 70469 NIL ALGPKG (NIL T T) -7 NIL NIL) (-41 66862 66963 67147 "ALGMFACT" 67471 NIL ALGMFACT (NIL T T T) -7 NIL NIL) (-40 62612 63292 63946 "ALGMANIP" 66386 NIL ALGMANIP (NIL T T) -7 NIL NIL) (-39 53931 62238 62388 "ALGFF" 62545 NIL ALGFF (NIL T T T NIL) -8 NIL NIL) (-38 53127 53258 53437 "ALGFACT" 53789 NIL ALGFACT (NIL T) -7 NIL NIL) (-37 52117 52727 52766 "ALGEBRA" 52826 NIL ALGEBRA (NIL T) -9 NIL 52884) (-36 51835 51894 52026 "ALGEBRA-" 52031 NIL ALGEBRA- (NIL T T) -8 NIL NIL) (-35 34095 49838 49891 "ALAGG" 50027 NIL ALAGG (NIL T T) -9 NIL 50188) (-34 33630 33743 33770 "AHYP" 33971 T AHYP (NIL) -9 NIL NIL) (-33 32560 32808 32835 "AGG" 33334 T AGG (NIL) -9 NIL 33613) (-32 31994 32156 32370 "AGG-" 32375 NIL AGG- (NIL T) -8 NIL NIL) (-31 29681 30099 30516 "AF" 31637 NIL AF (NIL T T) -7 NIL NIL) (-30 28950 29208 29364 "ACPLOT" 29543 T ACPLOT (NIL) -8 NIL NIL) (-29 18416 26362 26414 "ACFS" 27125 NIL ACFS (NIL T) -9 NIL 27364) (-28 16430 16920 17695 "ACFS-" 17700 NIL ACFS- (NIL T T) -8 NIL NIL) (-27 12697 14653 14680 "ACF" 15559 T ACF (NIL) -9 NIL 15971) (-26 11401 11735 12228 "ACF-" 12233 NIL ACF- (NIL T) -8 NIL NIL) (-25 10999 11168 11195 "ABELSG" 11287 T ABELSG (NIL) -9 NIL 11352) (-24 10866 10891 10957 "ABELSG-" 10962 NIL ABELSG- (NIL T) -8 NIL NIL) (-23 10235 10496 10523 "ABELMON" 10693 T ABELMON (NIL) -9 NIL 10805) (-22 9899 9983 10121 "ABELMON-" 10126 NIL ABELMON- (NIL T) -8 NIL NIL) (-21 9233 9579 9606 "ABELGRP" 9731 T ABELGRP (NIL) -9 NIL 9813) (-20 8696 8825 9041 "ABELGRP-" 9046 NIL ABELGRP- (NIL T) -8 NIL NIL) (-19 4333 8035 8075 "A1AGG" 8080 NIL A1AGG (NIL T) -9 NIL 8120) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL))
\ No newline at end of file +((-1195 3135840 3135845 3135850 "NIL" NIL T NIL (NIL) NIL NIL NIL) (-3 3135825 3135830 3135835 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-2 3135810 3135815 3135820 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-1 3135795 3135800 3135805 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (0 3135780 3135785 3135790 "NIL" NIL NIL NIL (NIL) -8 NIL NIL) (-1190 3134910 3135655 3135732 "ZMOD" 3135737 NIL ZMOD (NIL NIL) -8 NIL NIL) (-1189 3134020 3134184 3134393 "ZLINDEP" 3134742 NIL ZLINDEP (NIL T) -7 NIL NIL) (-1188 3123424 3125169 3127121 "ZDSOLVE" 3132169 NIL ZDSOLVE (NIL T NIL NIL) -7 NIL NIL) (-1187 3122670 3122811 3123000 "YSTREAM" 3123270 NIL YSTREAM (NIL T) -7 NIL NIL) (-1186 3120438 3121975 3122178 "XRPOLY" 3122513 NIL XRPOLY (NIL T T) -8 NIL NIL) (-1185 3116900 3118229 3118811 "XPR" 3119902 NIL XPR (NIL T T) -8 NIL NIL) (-1184 3114614 3116235 3116438 "XPOLY" 3116731 NIL XPOLY (NIL T) -8 NIL NIL) (-1183 3112427 3113805 3113860 "XPOLYC" 3114145 NIL XPOLYC (NIL T T) -9 NIL 3114258) (-1182 3108799 3110944 3111332 "XPBWPOLY" 3112085 NIL XPBWPOLY (NIL T T) -8 NIL NIL) (-1181 3104726 3107039 3107082 "XF" 3107703 NIL XF (NIL T) -9 NIL 3108102) (-1180 3104347 3104435 3104604 "XF-" 3104609 NIL XF- (NIL T T) -8 NIL NIL) (-1179 3099726 3101025 3101080 "XFALG" 3103228 NIL XFALG (NIL T T) -9 NIL 3104015) (-1178 3098863 3098967 3099171 "XEXPPKG" 3099618 NIL XEXPPKG (NIL T T T) -7 NIL NIL) (-1177 3096961 3098714 3098809 "XDPOLY" 3098814 NIL XDPOLY (NIL T T) -8 NIL NIL) (-1176 3095839 3096449 3096492 "XALG" 3096554 NIL XALG (NIL T) -9 NIL 3096673) (-1175 3089315 3093823 3094316 "WUTSET" 3095431 NIL WUTSET (NIL T T T T) -8 NIL NIL) (-1174 3087127 3087934 3088285 "WP" 3089097 NIL WP (NIL T T T T NIL NIL NIL) -8 NIL NIL) (-1173 3086013 3086211 3086506 "WFFINTBS" 3086924 NIL WFFINTBS (NIL T T T T) -7 NIL NIL) (-1172 3083917 3084344 3084806 "WEIER" 3085585 NIL WEIER (NIL T) -7 NIL NIL) (-1171 3083065 3083489 3083532 "VSPACE" 3083668 NIL VSPACE (NIL T) -9 NIL 3083742) (-1170 3082903 3082930 3083021 "VSPACE-" 3083026 NIL VSPACE- (NIL T T) -8 NIL NIL) (-1169 3082649 3082692 3082763 "VOID" 3082854 T VOID (NIL) -8 NIL NIL) (-1168 3080785 3081144 3081550 "VIEW" 3082265 T VIEW (NIL) -7 NIL NIL) (-1167 3077210 3077848 3078585 "VIEWDEF" 3080070 T VIEWDEF (NIL) -7 NIL NIL) (-1166 3066549 3068758 3070931 "VIEW3D" 3075059 T VIEW3D (NIL) -8 NIL NIL) (-1165 3058831 3060460 3062039 "VIEW2D" 3064992 T VIEW2D (NIL) -8 NIL NIL) (-1164 3054240 3058601 3058693 "VECTOR" 3058774 NIL VECTOR (NIL T) -8 NIL NIL) (-1163 3052817 3053076 3053394 "VECTOR2" 3053970 NIL VECTOR2 (NIL T T) -7 NIL NIL) (-1162 3046356 3050608 3050652 "VECTCAT" 3051640 NIL VECTCAT (NIL T) -9 NIL 3052224) (-1161 3045370 3045624 3046014 "VECTCAT-" 3046019 NIL VECTCAT- (NIL T T) -8 NIL NIL) (-1160 3044851 3045021 3045141 "VARIABLE" 3045285 NIL VARIABLE (NIL NIL) -8 NIL NIL) (-1159 3044783 3044788 3044819 "UTYPE" 3044824 T UTYPE (NIL) -9 NIL NIL) (-1158 3043618 3043772 3044033 "UTSODETL" 3044609 NIL UTSODETL (NIL T T T T) -7 NIL NIL) (-1157 3041058 3041518 3042042 "UTSODE" 3043159 NIL UTSODE (NIL T T) -7 NIL NIL) (-1156 3032905 3038698 3039186 "UTS" 3040627 NIL UTS (NIL T NIL NIL) -8 NIL NIL) (-1155 3024253 3029615 3029658 "UTSCAT" 3030759 NIL UTSCAT (NIL T) -9 NIL 3031516) (-1154 3021609 3022324 3023312 "UTSCAT-" 3023317 NIL UTSCAT- (NIL T T) -8 NIL NIL) (-1153 3021240 3021283 3021414 "UTS2" 3021560 NIL UTS2 (NIL T T T T) -7 NIL NIL) (-1152 3015515 3018080 3018124 "URAGG" 3020194 NIL URAGG (NIL T) -9 NIL 3020916) (-1151 3012454 3013317 3014440 "URAGG-" 3014445 NIL URAGG- (NIL T T) -8 NIL NIL) (-1150 3008140 3011071 3011542 "UPXSSING" 3012118 NIL UPXSSING (NIL T T NIL NIL) -8 NIL NIL) (-1149 3000034 3007261 3007541 "UPXS" 3007917 NIL UPXS (NIL T NIL NIL) -8 NIL NIL) (-1148 2993066 2999939 3000010 "UPXSCONS" 3000015 NIL UPXSCONS (NIL T T) -8 NIL NIL) (-1147 2983358 2990185 2990247 "UPXSCCA" 2990896 NIL UPXSCCA (NIL T T) -9 NIL 2991137) (-1146 2982997 2983082 2983255 "UPXSCCA-" 2983260 NIL UPXSCCA- (NIL T T T) -8 NIL NIL) (-1145 2973211 2979811 2979854 "UPXSCAT" 2980497 NIL UPXSCAT (NIL T) -9 NIL 2981105) (-1144 2972645 2972724 2972901 "UPXS2" 2973126 NIL UPXS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1143 2971299 2971552 2971903 "UPSQFREE" 2972388 NIL UPSQFREE (NIL T T) -7 NIL NIL) (-1142 2965194 2968246 2968301 "UPSCAT" 2969450 NIL UPSCAT (NIL T T) -9 NIL 2970223) (-1141 2964408 2964612 2964935 "UPSCAT-" 2964940 NIL UPSCAT- (NIL T T T) -8 NIL NIL) (-1140 2950540 2958537 2958580 "UPOLYC" 2960658 NIL UPOLYC (NIL T) -9 NIL 2961878) (-1139 2941933 2944337 2947462 "UPOLYC-" 2947467 NIL UPOLYC- (NIL T T) -8 NIL NIL) (-1138 2941564 2941607 2941738 "UPOLYC2" 2941884 NIL UPOLYC2 (NIL T T T T) -7 NIL NIL) (-1137 2933023 2941133 2941270 "UP" 2941474 NIL UP (NIL NIL T) -8 NIL NIL) (-1136 2932366 2932473 2932636 "UPMP" 2932912 NIL UPMP (NIL T T) -7 NIL NIL) (-1135 2931919 2932000 2932139 "UPDIVP" 2932279 NIL UPDIVP (NIL T T) -7 NIL NIL) (-1134 2930487 2930736 2931052 "UPDECOMP" 2931668 NIL UPDECOMP (NIL T T) -7 NIL NIL) (-1133 2929722 2929834 2930019 "UPCDEN" 2930371 NIL UPCDEN (NIL T T T) -7 NIL NIL) (-1132 2929245 2929314 2929461 "UP2" 2929647 NIL UP2 (NIL NIL T NIL T) -7 NIL NIL) (-1131 2927762 2928449 2928726 "UNISEG" 2929003 NIL UNISEG (NIL T) -8 NIL NIL) (-1130 2926977 2927104 2927309 "UNISEG2" 2927605 NIL UNISEG2 (NIL T T) -7 NIL NIL) (-1129 2926037 2926217 2926443 "UNIFACT" 2926793 NIL UNIFACT (NIL T) -7 NIL NIL) (-1128 2909936 2925218 2925468 "ULS" 2925844 NIL ULS (NIL T NIL NIL) -8 NIL NIL) (-1127 2897904 2909841 2909912 "ULSCONS" 2909917 NIL ULSCONS (NIL T T) -8 NIL NIL) (-1126 2880657 2892667 2892729 "ULSCCAT" 2893441 NIL ULSCCAT (NIL T T) -9 NIL 2893737) (-1125 2879708 2879953 2880340 "ULSCCAT-" 2880345 NIL ULSCCAT- (NIL T T T) -8 NIL NIL) (-1124 2869701 2876215 2876258 "ULSCAT" 2877114 NIL ULSCAT (NIL T) -9 NIL 2877844) (-1123 2869135 2869214 2869391 "ULS2" 2869616 NIL ULS2 (NIL T T NIL NIL NIL NIL) -7 NIL NIL) (-1122 2867532 2868499 2868530 "UFD" 2868742 T UFD (NIL) -9 NIL 2868856) (-1121 2867326 2867372 2867467 "UFD-" 2867472 NIL UFD- (NIL T) -8 NIL NIL) (-1120 2866408 2866591 2866807 "UDVO" 2867132 T UDVO (NIL) -7 NIL NIL) (-1119 2864224 2864633 2865104 "UDPO" 2865972 NIL UDPO (NIL T) -7 NIL NIL) (-1118 2864156 2864161 2864192 "TYPE" 2864197 T TYPE (NIL) -9 NIL NIL) (-1117 2863127 2863329 2863569 "TWOFACT" 2863950 NIL TWOFACT (NIL T) -7 NIL NIL) (-1116 2862065 2862402 2862665 "TUPLE" 2862899 NIL TUPLE (NIL T) -8 NIL NIL) (-1115 2859756 2860275 2860814 "TUBETOOL" 2861548 T TUBETOOL (NIL) -7 NIL NIL) (-1114 2858605 2858810 2859051 "TUBE" 2859549 NIL TUBE (NIL T) -8 NIL NIL) (-1113 2853329 2857583 2857865 "TS" 2858357 NIL TS (NIL T) -8 NIL NIL) (-1112 2842032 2846124 2846221 "TSETCAT" 2851455 NIL TSETCAT (NIL T T T T) -9 NIL 2852986) (-1111 2836767 2838365 2840255 "TSETCAT-" 2840260 NIL TSETCAT- (NIL T T T T T) -8 NIL NIL) (-1110 2831030 2831876 2832818 "TRMANIP" 2835903 NIL TRMANIP (NIL T T) -7 NIL NIL) (-1109 2830471 2830534 2830697 "TRIMAT" 2830962 NIL TRIMAT (NIL T T T T) -7 NIL NIL) (-1108 2828277 2828514 2828877 "TRIGMNIP" 2830220 NIL TRIGMNIP (NIL T T) -7 NIL NIL) (-1107 2827796 2827909 2827940 "TRIGCAT" 2828153 T TRIGCAT (NIL) -9 NIL NIL) (-1106 2827465 2827544 2827685 "TRIGCAT-" 2827690 NIL TRIGCAT- (NIL T) -8 NIL NIL) (-1105 2824364 2826325 2826605 "TREE" 2827220 NIL TREE (NIL T) -8 NIL NIL) (-1104 2823637 2824165 2824196 "TRANFUN" 2824231 T TRANFUN (NIL) -9 NIL 2824297) (-1103 2822916 2823107 2823387 "TRANFUN-" 2823392 NIL TRANFUN- (NIL T) -8 NIL NIL) (-1102 2822720 2822752 2822813 "TOPSP" 2822877 T TOPSP (NIL) -7 NIL NIL) (-1101 2822072 2822187 2822340 "TOOLSIGN" 2822601 NIL TOOLSIGN (NIL T) -7 NIL NIL) (-1100 2820733 2821249 2821488 "TEXTFILE" 2821855 T TEXTFILE (NIL) -8 NIL NIL) (-1099 2818598 2819112 2819550 "TEX" 2820317 T TEX (NIL) -8 NIL NIL) (-1098 2818379 2818410 2818482 "TEX1" 2818561 NIL TEX1 (NIL T) -7 NIL NIL) (-1097 2818027 2818090 2818180 "TEMUTL" 2818311 T TEMUTL (NIL) -7 NIL NIL) (-1096 2816181 2816461 2816786 "TBCMPPK" 2817750 NIL TBCMPPK (NIL T T) -7 NIL NIL) (-1095 2808069 2814341 2814398 "TBAGG" 2814798 NIL TBAGG (NIL T T) -9 NIL 2815009) (-1094 2803139 2804627 2806381 "TBAGG-" 2806386 NIL TBAGG- (NIL T T T) -8 NIL NIL) (-1093 2802523 2802630 2802775 "TANEXP" 2803028 NIL TANEXP (NIL T) -7 NIL NIL) (-1092 2796024 2802380 2802473 "TABLE" 2802478 NIL TABLE (NIL T T) -8 NIL NIL) (-1091 2795437 2795535 2795673 "TABLEAU" 2795921 NIL TABLEAU (NIL T) -8 NIL NIL) (-1090 2790045 2791265 2792513 "TABLBUMP" 2794223 NIL TABLBUMP (NIL T) -7 NIL NIL) (-1089 2786508 2787203 2787986 "SYSSOLP" 2789296 NIL SYSSOLP (NIL T) -7 NIL NIL) (-1088 2782892 2783495 2784235 "SYNTAX" 2785790 T SYNTAX (NIL) -8 NIL NIL) (-1087 2780026 2780634 2781272 "SYMTAB" 2782276 T SYMTAB (NIL) -8 NIL NIL) (-1086 2775275 2776177 2777160 "SYMS" 2779065 T SYMS (NIL) -8 NIL NIL) (-1085 2772508 2774735 2774964 "SYMPOLY" 2775080 NIL SYMPOLY (NIL T) -8 NIL NIL) (-1084 2772028 2772103 2772225 "SYMFUNC" 2772420 NIL SYMFUNC (NIL T) -7 NIL NIL) (-1083 2768006 2769265 2770087 "SYMBOL" 2771228 T SYMBOL (NIL) -8 NIL NIL) (-1082 2761545 2763234 2764954 "SWITCH" 2766308 T SWITCH (NIL) -8 NIL NIL) (-1081 2754778 2760372 2760674 "SUTS" 2761300 NIL SUTS (NIL T NIL NIL) -8 NIL NIL) (-1080 2746671 2753899 2754179 "SUPXS" 2754555 NIL SUPXS (NIL T NIL NIL) -8 NIL NIL) (-1079 2738203 2746292 2746417 "SUP" 2746580 NIL SUP (NIL T) -8 NIL NIL) (-1078 2737362 2737489 2737706 "SUPFRACF" 2738071 NIL SUPFRACF (NIL T T T T) -7 NIL NIL) (-1077 2736987 2737046 2737157 "SUP2" 2737297 NIL SUP2 (NIL T T) -7 NIL NIL) (-1076 2735405 2735679 2736041 "SUMRF" 2736686 NIL SUMRF (NIL T) -7 NIL NIL) (-1075 2734722 2734788 2734986 "SUMFS" 2735326 NIL SUMFS (NIL T T) -7 NIL NIL) (-1074 2718661 2733903 2734153 "SULS" 2734529 NIL SULS (NIL T NIL NIL) -8 NIL NIL) (-1073 2717983 2718186 2718326 "SUCH" 2718569 NIL SUCH (NIL T T) -8 NIL NIL) (-1072 2711910 2712922 2713880 "SUBSPACE" 2717071 NIL SUBSPACE (NIL NIL T) -8 NIL NIL) (-1071 2711340 2711430 2711594 "SUBRESP" 2711798 NIL SUBRESP (NIL T T) -7 NIL NIL) (-1070 2704709 2706005 2707316 "STTF" 2710076 NIL STTF (NIL T) -7 NIL NIL) (-1069 2698882 2700002 2701149 "STTFNC" 2703609 NIL STTFNC (NIL T) -7 NIL NIL) (-1068 2690233 2692100 2693893 "STTAYLOR" 2697123 NIL STTAYLOR (NIL T) -7 NIL NIL) (-1067 2683477 2690097 2690180 "STRTBL" 2690185 NIL STRTBL (NIL T) -8 NIL NIL) (-1066 2678868 2683432 2683463 "STRING" 2683468 T STRING (NIL) -8 NIL NIL) (-1065 2673756 2678241 2678272 "STRICAT" 2678331 T STRICAT (NIL) -9 NIL 2678393) (-1064 2666472 2671279 2671899 "STREAM" 2673171 NIL STREAM (NIL T) -8 NIL NIL) (-1063 2665982 2666059 2666203 "STREAM3" 2666389 NIL STREAM3 (NIL T T T) -7 NIL NIL) (-1062 2664964 2665147 2665382 "STREAM2" 2665795 NIL STREAM2 (NIL T T) -7 NIL NIL) (-1061 2664652 2664704 2664797 "STREAM1" 2664906 NIL STREAM1 (NIL T) -7 NIL NIL) (-1060 2663668 2663849 2664080 "STINPROD" 2664468 NIL STINPROD (NIL T) -7 NIL NIL) (-1059 2663246 2663430 2663461 "STEP" 2663541 T STEP (NIL) -9 NIL 2663619) (-1058 2656789 2663145 2663222 "STBL" 2663227 NIL STBL (NIL T T NIL) -8 NIL NIL) (-1057 2651964 2656011 2656055 "STAGG" 2656208 NIL STAGG (NIL T) -9 NIL 2656297) (-1056 2649666 2650268 2651140 "STAGG-" 2651145 NIL STAGG- (NIL T T) -8 NIL NIL) (-1055 2647861 2649436 2649528 "STACK" 2649609 NIL STACK (NIL T) -8 NIL NIL) (-1054 2640592 2646008 2646463 "SREGSET" 2647491 NIL SREGSET (NIL T T T T) -8 NIL NIL) (-1053 2633032 2634400 2635912 "SRDCMPK" 2639198 NIL SRDCMPK (NIL T T T T T) -7 NIL NIL) (-1052 2625999 2630472 2630503 "SRAGG" 2631806 T SRAGG (NIL) -9 NIL 2632414) (-1051 2625016 2625271 2625650 "SRAGG-" 2625655 NIL SRAGG- (NIL T) -8 NIL NIL) (-1050 2619465 2623935 2624362 "SQMATRIX" 2624635 NIL SQMATRIX (NIL NIL T) -8 NIL NIL) (-1049 2613217 2616185 2616911 "SPLTREE" 2618811 NIL SPLTREE (NIL T T) -8 NIL NIL) (-1048 2609207 2609873 2610519 "SPLNODE" 2612643 NIL SPLNODE (NIL T T) -8 NIL NIL) (-1047 2608253 2608486 2608517 "SPFCAT" 2608961 T SPFCAT (NIL) -9 NIL NIL) (-1046 2606990 2607200 2607464 "SPECOUT" 2608011 T SPECOUT (NIL) -7 NIL NIL) (-1045 2606751 2606791 2606860 "SPADPRSR" 2606943 T SPADPRSR (NIL) -7 NIL NIL) (-1044 2598773 2600520 2600563 "SPACEC" 2604886 NIL SPACEC (NIL T) -9 NIL 2606702) (-1043 2596945 2598706 2598754 "SPACE3" 2598759 NIL SPACE3 (NIL T) -8 NIL NIL) (-1042 2595697 2595868 2596159 "SORTPAK" 2596750 NIL SORTPAK (NIL T T) -7 NIL NIL) (-1041 2593753 2594056 2594474 "SOLVETRA" 2595361 NIL SOLVETRA (NIL T) -7 NIL NIL) (-1040 2592764 2592986 2593260 "SOLVESER" 2593526 NIL SOLVESER (NIL T) -7 NIL NIL) (-1039 2587984 2588865 2589867 "SOLVERAD" 2591816 NIL SOLVERAD (NIL T) -7 NIL NIL) (-1038 2583799 2584408 2585137 "SOLVEFOR" 2587351 NIL SOLVEFOR (NIL T T) -7 NIL NIL) (-1037 2578098 2583150 2583247 "SNTSCAT" 2583252 NIL SNTSCAT (NIL T T T T) -9 NIL 2583322) (-1036 2572203 2576429 2576819 "SMTS" 2577788 NIL SMTS (NIL T T T) -8 NIL NIL) (-1035 2566614 2572092 2572168 "SMP" 2572173 NIL SMP (NIL T T) -8 NIL NIL) (-1034 2564773 2565074 2565472 "SMITH" 2566311 NIL SMITH (NIL T T T T) -7 NIL NIL) (-1033 2557737 2561933 2562036 "SMATCAT" 2563376 NIL SMATCAT (NIL NIL T T T) -9 NIL 2563925) (-1032 2554678 2555501 2556678 "SMATCAT-" 2556683 NIL SMATCAT- (NIL T NIL T T T) -8 NIL NIL) (-1031 2552391 2553914 2553958 "SKAGG" 2554219 NIL SKAGG (NIL T) -9 NIL 2554354) (-1030 2548449 2551495 2551773 "SINT" 2552135 T SINT (NIL) -8 NIL NIL) (-1029 2548221 2548259 2548325 "SIMPAN" 2548405 T SIMPAN (NIL) -7 NIL NIL) (-1028 2547059 2547280 2547555 "SIGNRF" 2547980 NIL SIGNRF (NIL T) -7 NIL NIL) (-1027 2545868 2546019 2546309 "SIGNEF" 2546888 NIL SIGNEF (NIL T T) -7 NIL NIL) (-1026 2543558 2544012 2544518 "SHP" 2545409 NIL SHP (NIL T NIL) -7 NIL NIL) (-1025 2537411 2543459 2543535 "SHDP" 2543540 NIL SHDP (NIL NIL NIL T) -8 NIL NIL) (-1024 2536900 2537092 2537123 "SGROUP" 2537275 T SGROUP (NIL) -9 NIL 2537362) (-1023 2536670 2536722 2536826 "SGROUP-" 2536831 NIL SGROUP- (NIL T) -8 NIL NIL) (-1022 2533506 2534203 2534926 "SGCF" 2535969 T SGCF (NIL) -7 NIL NIL) (-1021 2527904 2532956 2533053 "SFRTCAT" 2533058 NIL SFRTCAT (NIL T T T T) -9 NIL 2533096) (-1020 2521364 2522379 2523513 "SFRGCD" 2526887 NIL SFRGCD (NIL T T T T T) -7 NIL NIL) (-1019 2514530 2515601 2516785 "SFQCMPK" 2520297 NIL SFQCMPK (NIL T T T T T) -7 NIL NIL) (-1018 2514152 2514241 2514351 "SFORT" 2514471 NIL SFORT (NIL T T) -8 NIL NIL) (-1017 2513297 2513992 2514113 "SEXOF" 2514118 NIL SEXOF (NIL T T T T T) -8 NIL NIL) (-1016 2512431 2513178 2513246 "SEX" 2513251 T SEX (NIL) -8 NIL NIL) (-1015 2507207 2507896 2507992 "SEXCAT" 2511763 NIL SEXCAT (NIL T T T T T) -9 NIL 2512382) (-1014 2504387 2507141 2507189 "SET" 2507194 NIL SET (NIL T) -8 NIL NIL) (-1013 2502638 2503100 2503405 "SETMN" 2504128 NIL SETMN (NIL NIL NIL) -8 NIL NIL) (-1012 2502245 2502371 2502402 "SETCAT" 2502519 T SETCAT (NIL) -9 NIL 2502603) (-1011 2502025 2502077 2502176 "SETCAT-" 2502181 NIL SETCAT- (NIL T) -8 NIL NIL) (-1010 2498412 2500486 2500530 "SETAGG" 2501400 NIL SETAGG (NIL T) -9 NIL 2501740) (-1009 2497870 2497986 2498223 "SETAGG-" 2498228 NIL SETAGG- (NIL T T) -8 NIL NIL) (-1008 2497073 2497366 2497428 "SEGXCAT" 2497714 NIL SEGXCAT (NIL T T) -9 NIL 2497834) (-1007 2496129 2496739 2496921 "SEG" 2496926 NIL SEG (NIL T) -8 NIL NIL) (-1006 2495035 2495248 2495292 "SEGCAT" 2495874 NIL SEGCAT (NIL T) -9 NIL 2496112) (-1005 2494084 2494414 2494614 "SEGBIND" 2494870 NIL SEGBIND (NIL T) -8 NIL NIL) (-1004 2493705 2493764 2493877 "SEGBIND2" 2494019 NIL SEGBIND2 (NIL T T) -7 NIL NIL) (-1003 2492924 2493050 2493254 "SEG2" 2493549 NIL SEG2 (NIL T T) -7 NIL NIL) (-1002 2492361 2492859 2492906 "SDVAR" 2492911 NIL SDVAR (NIL T) -8 NIL NIL) (-1001 2484613 2492134 2492262 "SDPOL" 2492267 NIL SDPOL (NIL T) -8 NIL NIL) (-1000 2483206 2483472 2483791 "SCPKG" 2484328 NIL SCPKG (NIL T) -7 NIL NIL) (-999 2482351 2482530 2482728 "SCOPE" 2483028 T SCOPE (NIL) -8 NIL NIL) (-998 2481578 2481711 2481888 "SCACHE" 2482206 NIL SCACHE (NIL T) -7 NIL NIL) (-997 2481021 2481342 2481425 "SAOS" 2481515 T SAOS (NIL) -8 NIL NIL) (-996 2480589 2480624 2480795 "SAERFFC" 2480980 NIL SAERFFC (NIL T T T) -7 NIL NIL) (-995 2474485 2480488 2480566 "SAE" 2480571 NIL SAE (NIL T T NIL) -8 NIL NIL) (-994 2474081 2474116 2474273 "SAEFACT" 2474444 NIL SAEFACT (NIL T T T) -7 NIL NIL) (-993 2472407 2472721 2473120 "RURPK" 2473747 NIL RURPK (NIL T NIL) -7 NIL NIL) (-992 2471060 2471337 2471644 "RULESET" 2472243 NIL RULESET (NIL T T T) -8 NIL NIL) (-991 2468268 2468771 2469232 "RULE" 2470742 NIL RULE (NIL T T T) -8 NIL NIL) (-990 2467910 2468065 2468146 "RULECOLD" 2468220 NIL RULECOLD (NIL NIL) -8 NIL NIL) (-989 2462802 2463596 2464512 "RSETGCD" 2467109 NIL RSETGCD (NIL T T T T T) -7 NIL NIL) (-988 2452116 2457168 2457263 "RSETCAT" 2461328 NIL RSETCAT (NIL T T T T) -9 NIL 2462425) (-987 2450047 2450586 2451406 "RSETCAT-" 2451411 NIL RSETCAT- (NIL T T T T T) -8 NIL NIL) (-986 2442477 2443852 2445368 "RSDCMPK" 2448646 NIL RSDCMPK (NIL T T T T T) -7 NIL NIL) (-985 2440494 2440935 2441008 "RRCC" 2442084 NIL RRCC (NIL T T) -9 NIL 2442428) (-984 2439848 2440022 2440298 "RRCC-" 2440303 NIL RRCC- (NIL T T T) -8 NIL NIL) (-983 2414214 2423839 2423904 "RPOLCAT" 2434406 NIL RPOLCAT (NIL T T T) -9 NIL 2437564) (-982 2405718 2408056 2411174 "RPOLCAT-" 2411179 NIL RPOLCAT- (NIL T T T T) -8 NIL NIL) (-981 2396784 2403948 2404428 "ROUTINE" 2405258 T ROUTINE (NIL) -8 NIL NIL) (-980 2393489 2396340 2396487 "ROMAN" 2396657 T ROMAN (NIL) -8 NIL NIL) (-979 2391775 2392360 2392617 "ROIRC" 2393295 NIL ROIRC (NIL T T) -8 NIL NIL) (-978 2388179 2390483 2390512 "RNS" 2390808 T RNS (NIL) -9 NIL 2391078) (-977 2386693 2387076 2387607 "RNS-" 2387680 NIL RNS- (NIL T) -8 NIL NIL) (-976 2386118 2386526 2386555 "RNG" 2386560 T RNG (NIL) -9 NIL 2386581) (-975 2385515 2385877 2385918 "RMODULE" 2385978 NIL RMODULE (NIL T) -9 NIL 2386020) (-974 2384367 2384461 2384791 "RMCAT2" 2385416 NIL RMCAT2 (NIL NIL NIL T T T T T T T T) -7 NIL NIL) (-973 2381081 2383550 2383871 "RMATRIX" 2384102 NIL RMATRIX (NIL NIL NIL T) -8 NIL NIL) (-972 2374077 2376311 2376424 "RMATCAT" 2379733 NIL RMATCAT (NIL NIL NIL T T T) -9 NIL 2380715) (-971 2373456 2373603 2373906 "RMATCAT-" 2373911 NIL RMATCAT- (NIL T NIL NIL T T T) -8 NIL NIL) (-970 2373026 2373101 2373227 "RINTERP" 2373375 NIL RINTERP (NIL NIL T) -7 NIL NIL) (-969 2372076 2372640 2372669 "RING" 2372779 T RING (NIL) -9 NIL 2372873) (-968 2371871 2371915 2372009 "RING-" 2372014 NIL RING- (NIL T) -8 NIL NIL) (-967 2370719 2370956 2371212 "RIDIST" 2371635 T RIDIST (NIL) -7 NIL NIL) (-966 2362041 2370193 2370396 "RGCHAIN" 2370568 NIL RGCHAIN (NIL T NIL) -8 NIL NIL) (-965 2359046 2359660 2360328 "RF" 2361405 NIL RF (NIL T) -7 NIL NIL) (-964 2358695 2358758 2358859 "RFFACTOR" 2358977 NIL RFFACTOR (NIL T) -7 NIL NIL) (-963 2358423 2358458 2358553 "RFFACT" 2358654 NIL RFFACT (NIL T) -7 NIL NIL) (-962 2356553 2356917 2357297 "RFDIST" 2358063 T RFDIST (NIL) -7 NIL NIL) (-961 2356011 2356103 2356263 "RETSOL" 2356455 NIL RETSOL (NIL T T) -7 NIL NIL) (-960 2355603 2355683 2355725 "RETRACT" 2355915 NIL RETRACT (NIL T) -9 NIL NIL) (-959 2355455 2355480 2355564 "RETRACT-" 2355569 NIL RETRACT- (NIL T T) -8 NIL NIL) (-958 2348313 2355112 2355237 "RESULT" 2355350 T RESULT (NIL) -8 NIL NIL) (-957 2346898 2347587 2347784 "RESRING" 2348216 NIL RESRING (NIL T T T T NIL) -8 NIL NIL) (-956 2346538 2346587 2346683 "RESLATC" 2346835 NIL RESLATC (NIL T) -7 NIL NIL) (-955 2346247 2346281 2346386 "REPSQ" 2346497 NIL REPSQ (NIL T) -7 NIL NIL) (-954 2343678 2344258 2344858 "REP" 2345667 T REP (NIL) -7 NIL NIL) (-953 2343379 2343413 2343522 "REPDB" 2343637 NIL REPDB (NIL T) -7 NIL NIL) (-952 2337324 2338703 2339923 "REP2" 2342191 NIL REP2 (NIL T) -7 NIL NIL) (-951 2333730 2334411 2335216 "REP1" 2336551 NIL REP1 (NIL T) -7 NIL NIL) (-950 2326476 2331891 2332343 "REGSET" 2333361 NIL REGSET (NIL T T T T) -8 NIL NIL) (-949 2325297 2325632 2325880 "REF" 2326261 NIL REF (NIL T) -8 NIL NIL) (-948 2324678 2324781 2324946 "REDORDER" 2325181 NIL REDORDER (NIL T T) -7 NIL NIL) (-947 2320647 2323912 2324133 "RECLOS" 2324509 NIL RECLOS (NIL T) -8 NIL NIL) (-946 2319704 2319885 2320098 "REALSOLV" 2320454 T REALSOLV (NIL) -7 NIL NIL) (-945 2319551 2319592 2319621 "REAL" 2319626 T REAL (NIL) -9 NIL 2319661) (-944 2316042 2316844 2317726 "REAL0Q" 2318716 NIL REAL0Q (NIL T) -7 NIL NIL) (-943 2311653 2312641 2313700 "REAL0" 2315023 NIL REAL0 (NIL T) -7 NIL NIL) (-942 2311061 2311133 2311338 "RDIV" 2311575 NIL RDIV (NIL T T T T T) -7 NIL NIL) (-941 2310134 2310308 2310519 "RDIST" 2310883 NIL RDIST (NIL T) -7 NIL NIL) (-940 2308738 2309025 2309394 "RDETRS" 2309842 NIL RDETRS (NIL T T) -7 NIL NIL) (-939 2306559 2307013 2307548 "RDETR" 2308280 NIL RDETR (NIL T T) -7 NIL NIL) (-938 2305175 2305453 2305854 "RDEEFS" 2306275 NIL RDEEFS (NIL T T) -7 NIL NIL) (-937 2303675 2303981 2304410 "RDEEF" 2304863 NIL RDEEF (NIL T T) -7 NIL NIL) (-936 2297959 2300891 2300920 "RCFIELD" 2302197 T RCFIELD (NIL) -9 NIL 2302927) (-935 2296028 2296532 2297225 "RCFIELD-" 2297298 NIL RCFIELD- (NIL T) -8 NIL NIL) (-934 2292359 2294144 2294186 "RCAGG" 2295257 NIL RCAGG (NIL T) -9 NIL 2295722) (-933 2291990 2292084 2292244 "RCAGG-" 2292249 NIL RCAGG- (NIL T T) -8 NIL NIL) (-932 2291335 2291446 2291608 "RATRET" 2291874 NIL RATRET (NIL T) -7 NIL NIL) (-931 2290892 2290959 2291078 "RATFACT" 2291263 NIL RATFACT (NIL T) -7 NIL NIL) (-930 2290207 2290327 2290477 "RANDSRC" 2290762 T RANDSRC (NIL) -7 NIL NIL) (-929 2289944 2289988 2290059 "RADUTIL" 2290156 T RADUTIL (NIL) -7 NIL NIL) (-928 2282951 2288687 2289004 "RADIX" 2289659 NIL RADIX (NIL NIL) -8 NIL NIL) (-927 2274521 2282795 2282923 "RADFF" 2282928 NIL RADFF (NIL T T T NIL NIL) -8 NIL NIL) (-926 2274172 2274247 2274276 "RADCAT" 2274433 T RADCAT (NIL) -9 NIL NIL) (-925 2273957 2274005 2274102 "RADCAT-" 2274107 NIL RADCAT- (NIL T) -8 NIL NIL) (-924 2272108 2273732 2273821 "QUEUE" 2273901 NIL QUEUE (NIL T) -8 NIL NIL) (-923 2268605 2272045 2272090 "QUAT" 2272095 NIL QUAT (NIL T) -8 NIL NIL) (-922 2268243 2268286 2268413 "QUATCT2" 2268556 NIL QUATCT2 (NIL T T T T) -7 NIL NIL) (-921 2262036 2265416 2265457 "QUATCAT" 2266236 NIL QUATCAT (NIL T) -9 NIL 2267001) (-920 2258180 2259217 2260604 "QUATCAT-" 2260698 NIL QUATCAT- (NIL T T) -8 NIL NIL) (-919 2255700 2257264 2257306 "QUAGG" 2257681 NIL QUAGG (NIL T) -9 NIL 2257856) (-918 2254625 2255098 2255270 "QFORM" 2255572 NIL QFORM (NIL NIL T) -8 NIL NIL) (-917 2245921 2251179 2251220 "QFCAT" 2251878 NIL QFCAT (NIL T) -9 NIL 2252871) (-916 2241493 2242694 2244285 "QFCAT-" 2244379 NIL QFCAT- (NIL T T) -8 NIL NIL) (-915 2241131 2241174 2241301 "QFCAT2" 2241444 NIL QFCAT2 (NIL T T T T) -7 NIL NIL) (-914 2240591 2240701 2240831 "QEQUAT" 2241021 T QEQUAT (NIL) -8 NIL NIL) (-913 2233777 2234848 2236030 "QCMPACK" 2239524 NIL QCMPACK (NIL T T T T T) -7 NIL NIL) (-912 2231353 2231774 2232202 "QALGSET" 2233432 NIL QALGSET (NIL T T T T) -8 NIL NIL) (-911 2230598 2230772 2231004 "QALGSET2" 2231173 NIL QALGSET2 (NIL NIL NIL) -7 NIL NIL) (-910 2229289 2229512 2229829 "PWFFINTB" 2230371 NIL PWFFINTB (NIL T T T T) -7 NIL NIL) (-909 2227477 2227645 2227998 "PUSHVAR" 2229103 NIL PUSHVAR (NIL T T T T) -7 NIL NIL) (-908 2223394 2224448 2224490 "PTRANFN" 2226374 NIL PTRANFN (NIL T) -9 NIL NIL) (-907 2221806 2222097 2222418 "PTPACK" 2223105 NIL PTPACK (NIL T) -7 NIL NIL) (-906 2221442 2221499 2221606 "PTFUNC2" 2221743 NIL PTFUNC2 (NIL T T) -7 NIL NIL) (-905 2215918 2220259 2220300 "PTCAT" 2220668 NIL PTCAT (NIL T) -9 NIL 2220830) (-904 2215576 2215611 2215735 "PSQFR" 2215877 NIL PSQFR (NIL T T T T) -7 NIL NIL) (-903 2214171 2214469 2214803 "PSEUDLIN" 2215274 NIL PSEUDLIN (NIL T) -7 NIL NIL) (-902 2200979 2203343 2205666 "PSETPK" 2211931 NIL PSETPK (NIL T T T T) -7 NIL NIL) (-901 2194065 2196779 2196874 "PSETCAT" 2199855 NIL PSETCAT (NIL T T T T) -9 NIL 2200669) (-900 2191903 2192537 2193356 "PSETCAT-" 2193361 NIL PSETCAT- (NIL T T T T T) -8 NIL NIL) (-899 2191251 2191416 2191445 "PSCURVE" 2191713 T PSCURVE (NIL) -9 NIL 2191880) (-898 2187702 2189228 2189293 "PSCAT" 2190129 NIL PSCAT (NIL T T T) -9 NIL 2190369) (-897 2186766 2186982 2187381 "PSCAT-" 2187386 NIL PSCAT- (NIL T T T T) -8 NIL NIL) (-896 2185419 2186051 2186265 "PRTITION" 2186572 T PRTITION (NIL) -8 NIL NIL) (-895 2174517 2176723 2178911 "PRS" 2183281 NIL PRS (NIL T T) -7 NIL NIL) (-894 2172375 2173867 2173908 "PRQAGG" 2174091 NIL PRQAGG (NIL T) -9 NIL 2174193) (-893 2171945 2172047 2172076 "PROPLOG" 2172261 T PROPLOG (NIL) -9 NIL NIL) (-892 2169068 2169633 2170160 "PROPFRML" 2171450 NIL PROPFRML (NIL T) -8 NIL NIL) (-891 2162842 2167234 2168054 "PRODUCT" 2168294 NIL PRODUCT (NIL T T) -8 NIL NIL) (-890 2160118 2162302 2162535 "PR" 2162653 NIL PR (NIL T T) -8 NIL NIL) (-889 2159914 2159946 2160005 "PRINT" 2160079 T PRINT (NIL) -7 NIL NIL) (-888 2159254 2159371 2159523 "PRIMES" 2159794 NIL PRIMES (NIL T) -7 NIL NIL) (-887 2157319 2157720 2158186 "PRIMELT" 2158833 NIL PRIMELT (NIL T) -7 NIL NIL) (-886 2157047 2157096 2157125 "PRIMCAT" 2157249 T PRIMCAT (NIL) -9 NIL NIL) (-885 2153208 2156985 2157030 "PRIMARR" 2157035 NIL PRIMARR (NIL T) -8 NIL NIL) (-884 2152215 2152393 2152621 "PRIMARR2" 2153026 NIL PRIMARR2 (NIL T T) -7 NIL NIL) (-883 2151858 2151914 2152025 "PREASSOC" 2152153 NIL PREASSOC (NIL T T) -7 NIL NIL) (-882 2151332 2151465 2151494 "PPCURVE" 2151699 T PPCURVE (NIL) -9 NIL 2151835) (-881 2148691 2149090 2149682 "POLYROOT" 2150913 NIL POLYROOT (NIL T T T T T) -7 NIL NIL) (-880 2142597 2148297 2148456 "POLY" 2148564 NIL POLY (NIL T) -8 NIL NIL) (-879 2141982 2142040 2142273 "POLYLIFT" 2142533 NIL POLYLIFT (NIL T T T T T) -7 NIL NIL) (-878 2138267 2138716 2139344 "POLYCATQ" 2141527 NIL POLYCATQ (NIL T T T T T) -7 NIL NIL) (-877 2125307 2130704 2130769 "POLYCAT" 2134254 NIL POLYCAT (NIL T T T) -9 NIL 2136181) (-876 2118758 2120619 2123002 "POLYCAT-" 2123007 NIL POLYCAT- (NIL T T T T) -8 NIL NIL) (-875 2118347 2118415 2118534 "POLY2UP" 2118684 NIL POLY2UP (NIL NIL T) -7 NIL NIL) (-874 2117983 2118040 2118147 "POLY2" 2118284 NIL POLY2 (NIL T T) -7 NIL NIL) (-873 2116668 2116907 2117183 "POLUTIL" 2117757 NIL POLUTIL (NIL T T) -7 NIL NIL) (-872 2115030 2115307 2115637 "POLTOPOL" 2116390 NIL POLTOPOL (NIL NIL T) -7 NIL NIL) (-871 2110553 2114967 2115012 "POINT" 2115017 NIL POINT (NIL T) -8 NIL NIL) (-870 2108740 2109097 2109472 "PNTHEORY" 2110198 T PNTHEORY (NIL) -7 NIL NIL) (-869 2107168 2107465 2107874 "PMTOOLS" 2108438 NIL PMTOOLS (NIL T T T) -7 NIL NIL) (-868 2106761 2106839 2106956 "PMSYM" 2107084 NIL PMSYM (NIL T) -7 NIL NIL) (-867 2106271 2106340 2106514 "PMQFCAT" 2106686 NIL PMQFCAT (NIL T T T) -7 NIL NIL) (-866 2105626 2105736 2105892 "PMPRED" 2106148 NIL PMPRED (NIL T) -7 NIL NIL) (-865 2105022 2105108 2105269 "PMPREDFS" 2105527 NIL PMPREDFS (NIL T T T) -7 NIL NIL) (-864 2103668 2103876 2104260 "PMPLCAT" 2104784 NIL PMPLCAT (NIL T T T T T) -7 NIL NIL) (-863 2103200 2103279 2103431 "PMLSAGG" 2103583 NIL PMLSAGG (NIL T T T) -7 NIL NIL) (-862 2102677 2102753 2102933 "PMKERNEL" 2103118 NIL PMKERNEL (NIL T T) -7 NIL NIL) (-861 2102294 2102369 2102482 "PMINS" 2102596 NIL PMINS (NIL T) -7 NIL NIL) (-860 2101724 2101793 2102008 "PMFS" 2102219 NIL PMFS (NIL T T T) -7 NIL NIL) (-859 2100955 2101073 2101277 "PMDOWN" 2101601 NIL PMDOWN (NIL T T T) -7 NIL NIL) (-858 2100118 2100277 2100459 "PMASS" 2100793 T PMASS (NIL) -7 NIL NIL) (-857 2099392 2099503 2099666 "PMASSFS" 2100004 NIL PMASSFS (NIL T T) -7 NIL NIL) (-856 2099047 2099115 2099209 "PLOTTOOL" 2099318 T PLOTTOOL (NIL) -7 NIL NIL) (-855 2093669 2094858 2096006 "PLOT" 2097919 T PLOT (NIL) -8 NIL NIL) (-854 2089483 2090517 2091438 "PLOT3D" 2092768 T PLOT3D (NIL) -8 NIL NIL) (-853 2088395 2088572 2088807 "PLOT1" 2089287 NIL PLOT1 (NIL T) -7 NIL NIL) (-852 2063790 2068461 2073312 "PLEQN" 2083661 NIL PLEQN (NIL T T T T) -7 NIL NIL) (-851 2063108 2063230 2063410 "PINTERP" 2063655 NIL PINTERP (NIL NIL T) -7 NIL NIL) (-850 2062801 2062848 2062951 "PINTERPA" 2063055 NIL PINTERPA (NIL T T) -7 NIL NIL) (-849 2062028 2062595 2062688 "PI" 2062728 T PI (NIL) -8 NIL NIL) (-848 2060419 2061404 2061433 "PID" 2061615 T PID (NIL) -9 NIL 2061749) (-847 2060144 2060181 2060269 "PICOERCE" 2060376 NIL PICOERCE (NIL T) -7 NIL NIL) (-846 2059465 2059603 2059779 "PGROEB" 2060000 NIL PGROEB (NIL T) -7 NIL NIL) (-845 2055052 2055866 2056771 "PGE" 2058580 T PGE (NIL) -7 NIL NIL) (-844 2053176 2053422 2053788 "PGCD" 2054769 NIL PGCD (NIL T T T T) -7 NIL NIL) (-843 2052514 2052617 2052778 "PFRPAC" 2053060 NIL PFRPAC (NIL T) -7 NIL NIL) (-842 2049129 2051062 2051415 "PFR" 2052193 NIL PFR (NIL T) -8 NIL NIL) (-841 2047518 2047762 2048087 "PFOTOOLS" 2048876 NIL PFOTOOLS (NIL T T) -7 NIL NIL) (-840 2046051 2046290 2046641 "PFOQ" 2047275 NIL PFOQ (NIL T T T) -7 NIL NIL) (-839 2044528 2044740 2045102 "PFO" 2045835 NIL PFO (NIL T T T T T) -7 NIL NIL) (-838 2041051 2044417 2044486 "PF" 2044491 NIL PF (NIL NIL) -8 NIL NIL) (-837 2038479 2039760 2039789 "PFECAT" 2040374 T PFECAT (NIL) -9 NIL 2040758) (-836 2037924 2038078 2038292 "PFECAT-" 2038297 NIL PFECAT- (NIL T) -8 NIL NIL) (-835 2036528 2036779 2037080 "PFBRU" 2037673 NIL PFBRU (NIL T T) -7 NIL NIL) (-834 2034395 2034746 2035178 "PFBR" 2036179 NIL PFBR (NIL T T T T) -7 NIL NIL) (-833 2030247 2031771 2032447 "PERM" 2033752 NIL PERM (NIL T) -8 NIL NIL) (-832 2025513 2026454 2027324 "PERMGRP" 2029410 NIL PERMGRP (NIL T) -8 NIL NIL) (-831 2023583 2024576 2024618 "PERMCAT" 2025064 NIL PERMCAT (NIL T) -9 NIL 2025369) (-830 2023238 2023279 2023402 "PERMAN" 2023536 NIL PERMAN (NIL NIL T) -7 NIL NIL) (-829 2020678 2022807 2022938 "PENDTREE" 2023140 NIL PENDTREE (NIL T) -8 NIL NIL) (-828 2018750 2019528 2019570 "PDRING" 2020227 NIL PDRING (NIL T) -9 NIL 2020512) (-827 2017853 2018071 2018433 "PDRING-" 2018438 NIL PDRING- (NIL T T) -8 NIL NIL) (-826 2014995 2015745 2016436 "PDEPROB" 2017182 T PDEPROB (NIL) -8 NIL NIL) (-825 2012566 2013062 2013611 "PDEPACK" 2014466 T PDEPACK (NIL) -7 NIL NIL) (-824 2011478 2011668 2011919 "PDECOMP" 2012365 NIL PDECOMP (NIL T T) -7 NIL NIL) (-823 2009089 2009904 2009933 "PDECAT" 2010718 T PDECAT (NIL) -9 NIL 2011429) (-822 2008842 2008875 2008964 "PCOMP" 2009050 NIL PCOMP (NIL T T) -7 NIL NIL) (-821 2007049 2007645 2007941 "PBWLB" 2008572 NIL PBWLB (NIL T) -8 NIL NIL) (-820 1999558 2001126 2002462 "PATTERN" 2005734 NIL PATTERN (NIL T) -8 NIL NIL) (-819 1999190 1999247 1999356 "PATTERN2" 1999495 NIL PATTERN2 (NIL T T) -7 NIL NIL) (-818 1996947 1997335 1997792 "PATTERN1" 1998779 NIL PATTERN1 (NIL T T) -7 NIL NIL) (-817 1994342 1994896 1995377 "PATRES" 1996512 NIL PATRES (NIL T T) -8 NIL NIL) (-816 1993906 1993973 1994105 "PATRES2" 1994269 NIL PATRES2 (NIL T T T) -7 NIL NIL) (-815 1991803 1992203 1992608 "PATMATCH" 1993575 NIL PATMATCH (NIL T T T) -7 NIL NIL) (-814 1991339 1991522 1991564 "PATMAB" 1991671 NIL PATMAB (NIL T) -9 NIL 1991754) (-813 1989884 1990193 1990451 "PATLRES" 1991144 NIL PATLRES (NIL T T T) -8 NIL NIL) (-812 1989429 1989552 1989594 "PATAB" 1989599 NIL PATAB (NIL T) -9 NIL 1989771) (-811 1986910 1987442 1988015 "PARTPERM" 1988876 T PARTPERM (NIL) -7 NIL NIL) (-810 1986531 1986594 1986696 "PARSURF" 1986841 NIL PARSURF (NIL T) -8 NIL NIL) (-809 1986163 1986220 1986329 "PARSU2" 1986468 NIL PARSU2 (NIL T T) -7 NIL NIL) (-808 1985927 1985967 1986034 "PARSER" 1986116 T PARSER (NIL) -7 NIL NIL) (-807 1985548 1985611 1985713 "PARSCURV" 1985858 NIL PARSCURV (NIL T) -8 NIL NIL) (-806 1985180 1985237 1985346 "PARSC2" 1985485 NIL PARSC2 (NIL T T) -7 NIL NIL) (-805 1984819 1984877 1984974 "PARPCURV" 1985116 NIL PARPCURV (NIL T) -8 NIL NIL) (-804 1984451 1984508 1984617 "PARPC2" 1984756 NIL PARPC2 (NIL T T) -7 NIL NIL) (-803 1983971 1984057 1984176 "PAN2EXPR" 1984352 T PAN2EXPR (NIL) -7 NIL NIL) (-802 1982777 1983092 1983320 "PALETTE" 1983763 T PALETTE (NIL) -8 NIL NIL) (-801 1981245 1981782 1982142 "PAIR" 1982463 NIL PAIR (NIL T T) -8 NIL NIL) (-800 1975095 1980504 1980698 "PADICRC" 1981100 NIL PADICRC (NIL NIL T) -8 NIL NIL) (-799 1968303 1974441 1974625 "PADICRAT" 1974943 NIL PADICRAT (NIL NIL) -8 NIL NIL) (-798 1966607 1968240 1968285 "PADIC" 1968290 NIL PADIC (NIL NIL) -8 NIL NIL) (-797 1963811 1965385 1965426 "PADICCT" 1966007 NIL PADICCT (NIL NIL) -9 NIL 1966289) (-796 1962768 1962968 1963236 "PADEPAC" 1963598 NIL PADEPAC (NIL T NIL NIL) -7 NIL NIL) (-795 1961980 1962113 1962319 "PADE" 1962630 NIL PADE (NIL T T T) -7 NIL NIL) (-794 1959991 1960823 1961138 "OWP" 1961748 NIL OWP (NIL T NIL NIL NIL) -8 NIL NIL) (-793 1959100 1959596 1959768 "OVAR" 1959859 NIL OVAR (NIL NIL) -8 NIL NIL) (-792 1958364 1958485 1958646 "OUT" 1958959 T OUT (NIL) -7 NIL NIL) (-791 1947410 1949589 1951759 "OUTFORM" 1956214 T OUTFORM (NIL) -8 NIL NIL) (-790 1946818 1947139 1947228 "OSI" 1947341 T OSI (NIL) -8 NIL NIL) (-789 1945563 1945790 1946075 "ORTHPOL" 1946565 NIL ORTHPOL (NIL T) -7 NIL NIL) (-788 1942934 1945224 1945362 "OREUP" 1945506 NIL OREUP (NIL NIL T NIL NIL) -8 NIL NIL) (-787 1940330 1942627 1942753 "ORESUP" 1942876 NIL ORESUP (NIL T NIL NIL) -8 NIL NIL) (-786 1937865 1938365 1938925 "OREPCTO" 1939819 NIL OREPCTO (NIL T T) -7 NIL NIL) (-785 1931774 1933980 1934021 "OREPCAT" 1936342 NIL OREPCAT (NIL T) -9 NIL 1937445) (-784 1928922 1929704 1930761 "OREPCAT-" 1930766 NIL OREPCAT- (NIL T T) -8 NIL NIL) (-783 1928099 1928371 1928400 "ORDSET" 1928709 T ORDSET (NIL) -9 NIL 1928873) (-782 1927618 1927740 1927933 "ORDSET-" 1927938 NIL ORDSET- (NIL T) -8 NIL NIL) (-781 1926231 1927032 1927061 "ORDRING" 1927263 T ORDRING (NIL) -9 NIL 1927387) (-780 1925876 1925970 1926114 "ORDRING-" 1926119 NIL ORDRING- (NIL T) -8 NIL NIL) (-779 1925251 1925732 1925761 "ORDMON" 1925766 T ORDMON (NIL) -9 NIL 1925787) (-778 1924413 1924560 1924755 "ORDFUNS" 1925100 NIL ORDFUNS (NIL NIL T) -7 NIL NIL) (-777 1923924 1924283 1924312 "ORDFIN" 1924317 T ORDFIN (NIL) -9 NIL 1924338) (-776 1920436 1922510 1922919 "ORDCOMP" 1923548 NIL ORDCOMP (NIL T) -8 NIL NIL) (-775 1919702 1919829 1920015 "ORDCOMP2" 1920296 NIL ORDCOMP2 (NIL T T) -7 NIL NIL) (-774 1916210 1917092 1917929 "OPTPROB" 1918885 T OPTPROB (NIL) -8 NIL NIL) (-773 1913052 1913681 1914375 "OPTPACK" 1915536 T OPTPACK (NIL) -7 NIL NIL) (-772 1910777 1911513 1911542 "OPTCAT" 1912357 T OPTCAT (NIL) -9 NIL 1913003) (-771 1910545 1910584 1910650 "OPQUERY" 1910731 T OPQUERY (NIL) -7 NIL NIL) (-770 1907681 1908872 1909372 "OP" 1910077 NIL OP (NIL T) -8 NIL NIL) (-769 1904446 1906478 1906847 "ONECOMP" 1907345 NIL ONECOMP (NIL T) -8 NIL NIL) (-768 1903751 1903866 1904040 "ONECOMP2" 1904318 NIL ONECOMP2 (NIL T T) -7 NIL NIL) (-767 1903170 1903276 1903406 "OMSERVER" 1903641 T OMSERVER (NIL) -7 NIL NIL) (-766 1900058 1902610 1902651 "OMSAGG" 1902712 NIL OMSAGG (NIL T) -9 NIL 1902776) (-765 1898681 1898944 1899226 "OMPKG" 1899796 T OMPKG (NIL) -7 NIL NIL) (-764 1898110 1898213 1898242 "OM" 1898541 T OM (NIL) -9 NIL NIL) (-763 1896649 1897662 1897830 "OMLO" 1897991 NIL OMLO (NIL T T) -8 NIL NIL) (-762 1895579 1895726 1895952 "OMEXPR" 1896475 NIL OMEXPR (NIL T) -7 NIL NIL) (-761 1894897 1895125 1895261 "OMERR" 1895463 T OMERR (NIL) -8 NIL NIL) (-760 1894075 1894318 1894478 "OMERRK" 1894757 T OMERRK (NIL) -8 NIL NIL) (-759 1893553 1893752 1893860 "OMENC" 1893987 T OMENC (NIL) -8 NIL NIL) (-758 1887448 1888633 1889804 "OMDEV" 1892402 T OMDEV (NIL) -8 NIL NIL) (-757 1886517 1886688 1886882 "OMCONN" 1887274 T OMCONN (NIL) -8 NIL NIL) (-756 1885132 1886118 1886147 "OINTDOM" 1886152 T OINTDOM (NIL) -9 NIL 1886173) (-755 1880894 1882124 1882839 "OFMONOID" 1884449 NIL OFMONOID (NIL T) -8 NIL NIL) (-754 1880332 1880831 1880876 "ODVAR" 1880881 NIL ODVAR (NIL T) -8 NIL NIL) (-753 1877457 1879829 1880014 "ODR" 1880207 NIL ODR (NIL T T NIL) -8 NIL NIL) (-752 1869763 1877236 1877360 "ODPOL" 1877365 NIL ODPOL (NIL T) -8 NIL NIL) (-751 1863586 1869635 1869740 "ODP" 1869745 NIL ODP (NIL NIL T NIL) -8 NIL NIL) (-750 1862352 1862567 1862842 "ODETOOLS" 1863360 NIL ODETOOLS (NIL T T) -7 NIL NIL) (-749 1859321 1859977 1860693 "ODESYS" 1861685 NIL ODESYS (NIL T T) -7 NIL NIL) (-748 1854225 1855133 1856156 "ODERTRIC" 1858396 NIL ODERTRIC (NIL T T) -7 NIL NIL) (-747 1853651 1853733 1853927 "ODERED" 1854137 NIL ODERED (NIL T T T T T) -7 NIL NIL) (-746 1850553 1851101 1851776 "ODERAT" 1853074 NIL ODERAT (NIL T T) -7 NIL NIL) (-745 1847521 1847985 1848581 "ODEPRRIC" 1850082 NIL ODEPRRIC (NIL T T T T) -7 NIL NIL) (-744 1845392 1845959 1846468 "ODEPROB" 1847032 T ODEPROB (NIL) -8 NIL NIL) (-743 1841924 1842407 1843053 "ODEPRIM" 1844871 NIL ODEPRIM (NIL T T T T) -7 NIL NIL) (-742 1841177 1841279 1841537 "ODEPAL" 1841816 NIL ODEPAL (NIL T T T T) -7 NIL NIL) (-741 1837379 1838160 1839014 "ODEPACK" 1840343 T ODEPACK (NIL) -7 NIL NIL) (-740 1836416 1836523 1836751 "ODEINT" 1837268 NIL ODEINT (NIL T T) -7 NIL NIL) (-739 1830517 1831942 1833389 "ODEIFTBL" 1834989 T ODEIFTBL (NIL) -8 NIL NIL) (-738 1825861 1826647 1827605 "ODEEF" 1829676 NIL ODEEF (NIL T T) -7 NIL NIL) (-737 1825198 1825287 1825516 "ODECONST" 1825766 NIL ODECONST (NIL T T T) -7 NIL NIL) (-736 1823355 1823988 1824017 "ODECAT" 1824620 T ODECAT (NIL) -9 NIL 1825149) (-735 1820227 1823067 1823186 "OCT" 1823268 NIL OCT (NIL T) -8 NIL NIL) (-734 1819865 1819908 1820035 "OCTCT2" 1820178 NIL OCTCT2 (NIL T T T T) -7 NIL NIL) (-733 1814698 1817136 1817177 "OC" 1818273 NIL OC (NIL T) -9 NIL 1819130) (-732 1811925 1812673 1813663 "OC-" 1813757 NIL OC- (NIL T T) -8 NIL NIL) (-731 1811303 1811745 1811774 "OCAMON" 1811779 T OCAMON (NIL) -9 NIL 1811800) (-730 1810763 1810873 1811003 "OBJPROP" 1811193 T OBJPROP (NIL) -8 NIL NIL) (-729 1810216 1810623 1810652 "OASGP" 1810657 T OASGP (NIL) -9 NIL 1810677) (-728 1809503 1809966 1809995 "OAMONS" 1810035 T OAMONS (NIL) -9 NIL 1810078) (-727 1808943 1809350 1809379 "OAMON" 1809384 T OAMON (NIL) -9 NIL 1809404) (-726 1808247 1808739 1808768 "OAGROUP" 1808773 T OAGROUP (NIL) -9 NIL 1808793) (-725 1807937 1807987 1808075 "NUMTUBE" 1808191 NIL NUMTUBE (NIL T) -7 NIL NIL) (-724 1801510 1803028 1804564 "NUMQUAD" 1806421 T NUMQUAD (NIL) -7 NIL NIL) (-723 1797266 1798254 1799279 "NUMODE" 1800505 T NUMODE (NIL) -7 NIL NIL) (-722 1794669 1795515 1795544 "NUMINT" 1796461 T NUMINT (NIL) -9 NIL 1797217) (-721 1793617 1793814 1794032 "NUMFMT" 1794471 T NUMFMT (NIL) -7 NIL NIL) (-720 1779999 1782933 1785463 "NUMERIC" 1791126 NIL NUMERIC (NIL T) -7 NIL NIL) (-719 1774399 1779451 1779546 "NTSCAT" 1779551 NIL NTSCAT (NIL T T T T) -9 NIL 1779589) (-718 1773593 1773758 1773951 "NTPOLFN" 1774238 NIL NTPOLFN (NIL T) -7 NIL NIL) (-717 1761449 1770435 1771245 "NSUP" 1772815 NIL NSUP (NIL T) -8 NIL NIL) (-716 1761085 1761142 1761249 "NSUP2" 1761386 NIL NSUP2 (NIL T T) -7 NIL NIL) (-715 1751047 1760864 1760994 "NSMP" 1760999 NIL NSMP (NIL T T) -8 NIL NIL) (-714 1749479 1749780 1750137 "NREP" 1750735 NIL NREP (NIL T) -7 NIL NIL) (-713 1748070 1748322 1748680 "NPCOEF" 1749222 NIL NPCOEF (NIL T T T T T) -7 NIL NIL) (-712 1747136 1747251 1747467 "NORMRETR" 1747951 NIL NORMRETR (NIL T T T T NIL) -7 NIL NIL) (-711 1745189 1745479 1745886 "NORMPK" 1746844 NIL NORMPK (NIL T T T T T) -7 NIL NIL) (-710 1744874 1744902 1745026 "NORMMA" 1745155 NIL NORMMA (NIL T T T T) -7 NIL NIL) (-709 1744701 1744831 1744860 "NONE" 1744865 T NONE (NIL) -8 NIL NIL) (-708 1744490 1744519 1744588 "NONE1" 1744665 NIL NONE1 (NIL T) -7 NIL NIL) (-707 1743975 1744037 1744222 "NODE1" 1744422 NIL NODE1 (NIL T T) -7 NIL NIL) (-706 1742268 1743138 1743393 "NNI" 1743740 T NNI (NIL) -8 NIL NIL) (-705 1740688 1741001 1741365 "NLINSOL" 1741936 NIL NLINSOL (NIL T) -7 NIL NIL) (-704 1736856 1737823 1738745 "NIPROB" 1739786 T NIPROB (NIL) -8 NIL NIL) (-703 1735613 1735847 1736149 "NFINTBAS" 1736618 NIL NFINTBAS (NIL T T) -7 NIL NIL) (-702 1734321 1734552 1734833 "NCODIV" 1735381 NIL NCODIV (NIL T T) -7 NIL NIL) (-701 1734083 1734120 1734195 "NCNTFRAC" 1734278 NIL NCNTFRAC (NIL T) -7 NIL NIL) (-700 1732263 1732627 1733047 "NCEP" 1733708 NIL NCEP (NIL T) -7 NIL NIL) (-699 1731174 1731913 1731942 "NASRING" 1732052 T NASRING (NIL) -9 NIL 1732126) (-698 1730969 1731013 1731107 "NASRING-" 1731112 NIL NASRING- (NIL T) -8 NIL NIL) (-697 1730122 1730621 1730650 "NARNG" 1730767 T NARNG (NIL) -9 NIL 1730858) (-696 1729814 1729881 1730015 "NARNG-" 1730020 NIL NARNG- (NIL T) -8 NIL NIL) (-695 1728693 1728900 1729135 "NAGSP" 1729599 T NAGSP (NIL) -7 NIL NIL) (-694 1720117 1721763 1723398 "NAGS" 1727078 T NAGS (NIL) -7 NIL NIL) (-693 1718681 1718985 1719312 "NAGF07" 1719810 T NAGF07 (NIL) -7 NIL NIL) (-692 1713263 1714543 1715839 "NAGF04" 1717405 T NAGF04 (NIL) -7 NIL NIL) (-691 1706295 1707893 1709510 "NAGF02" 1711666 T NAGF02 (NIL) -7 NIL NIL) (-690 1701559 1702649 1703756 "NAGF01" 1705208 T NAGF01 (NIL) -7 NIL NIL) (-689 1695219 1696777 1698354 "NAGE04" 1700002 T NAGE04 (NIL) -7 NIL NIL) (-688 1686460 1688563 1690675 "NAGE02" 1693127 T NAGE02 (NIL) -7 NIL NIL) (-687 1682453 1683390 1684344 "NAGE01" 1685526 T NAGE01 (NIL) -7 NIL NIL) (-686 1680260 1680791 1681346 "NAGD03" 1681918 T NAGD03 (NIL) -7 NIL NIL) (-685 1672046 1673965 1675910 "NAGD02" 1678335 T NAGD02 (NIL) -7 NIL NIL) (-684 1665905 1667318 1668746 "NAGD01" 1670638 T NAGD01 (NIL) -7 NIL NIL) (-683 1662162 1662972 1663797 "NAGC06" 1665100 T NAGC06 (NIL) -7 NIL NIL) (-682 1660639 1660968 1661321 "NAGC05" 1661829 T NAGC05 (NIL) -7 NIL NIL) (-681 1660023 1660140 1660282 "NAGC02" 1660517 T NAGC02 (NIL) -7 NIL NIL) (-680 1659084 1659641 1659682 "NAALG" 1659761 NIL NAALG (NIL T) -9 NIL 1659822) (-679 1658919 1658948 1659038 "NAALG-" 1659043 NIL NAALG- (NIL T T) -8 NIL NIL) (-678 1652869 1653977 1655164 "MULTSQFR" 1657815 NIL MULTSQFR (NIL T T T T) -7 NIL NIL) (-677 1652188 1652263 1652447 "MULTFACT" 1652781 NIL MULTFACT (NIL T T T T) -7 NIL NIL) (-676 1645381 1649292 1649345 "MTSCAT" 1650405 NIL MTSCAT (NIL T T) -9 NIL 1650919) (-675 1645093 1645147 1645239 "MTHING" 1645321 NIL MTHING (NIL T) -7 NIL NIL) (-674 1644885 1644918 1644978 "MSYSCMD" 1645053 T MSYSCMD (NIL) -7 NIL NIL) (-673 1640997 1643640 1643960 "MSET" 1644598 NIL MSET (NIL T) -8 NIL NIL) (-672 1638092 1640558 1640600 "MSETAGG" 1640605 NIL MSETAGG (NIL T) -9 NIL 1640639) (-671 1633948 1635490 1636231 "MRING" 1637395 NIL MRING (NIL T T) -8 NIL NIL) (-670 1633518 1633585 1633714 "MRF2" 1633875 NIL MRF2 (NIL T T T) -7 NIL NIL) (-669 1633136 1633171 1633315 "MRATFAC" 1633477 NIL MRATFAC (NIL T T T T) -7 NIL NIL) (-668 1630748 1631043 1631474 "MPRFF" 1632841 NIL MPRFF (NIL T T T T) -7 NIL NIL) (-667 1624768 1630603 1630699 "MPOLY" 1630704 NIL MPOLY (NIL NIL T) -8 NIL NIL) (-666 1624258 1624293 1624501 "MPCPF" 1624727 NIL MPCPF (NIL T T T T) -7 NIL NIL) (-665 1623774 1623817 1624000 "MPC3" 1624209 NIL MPC3 (NIL T T T T T T T) -7 NIL NIL) (-664 1622975 1623056 1623275 "MPC2" 1623689 NIL MPC2 (NIL T T T T T T T) -7 NIL NIL) (-663 1621276 1621613 1622003 "MONOTOOL" 1622635 NIL MONOTOOL (NIL T T) -7 NIL NIL) (-662 1620400 1620735 1620764 "MONOID" 1621041 T MONOID (NIL) -9 NIL 1621213) (-661 1619778 1619941 1620184 "MONOID-" 1620189 NIL MONOID- (NIL T) -8 NIL NIL) (-660 1610758 1616744 1616804 "MONOGEN" 1617478 NIL MONOGEN (NIL T T) -9 NIL 1617934) (-659 1607976 1608711 1609711 "MONOGEN-" 1609830 NIL MONOGEN- (NIL T T T) -8 NIL NIL) (-658 1606835 1607255 1607284 "MONADWU" 1607676 T MONADWU (NIL) -9 NIL 1607914) (-657 1606207 1606366 1606614 "MONADWU-" 1606619 NIL MONADWU- (NIL T) -8 NIL NIL) (-656 1605592 1605810 1605839 "MONAD" 1606046 T MONAD (NIL) -9 NIL 1606158) (-655 1605277 1605355 1605487 "MONAD-" 1605492 NIL MONAD- (NIL T) -8 NIL NIL) (-654 1603528 1604190 1604469 "MOEBIUS" 1605030 NIL MOEBIUS (NIL T) -8 NIL NIL) (-653 1602921 1603299 1603340 "MODULE" 1603345 NIL MODULE (NIL T) -9 NIL 1603371) (-652 1602489 1602585 1602775 "MODULE-" 1602780 NIL MODULE- (NIL T T) -8 NIL NIL) (-651 1600160 1600855 1601181 "MODRING" 1602314 NIL MODRING (NIL T T NIL NIL NIL) -8 NIL NIL) (-650 1597116 1598281 1598798 "MODOP" 1599692 NIL MODOP (NIL T T) -8 NIL NIL) (-649 1595303 1595755 1596096 "MODMONOM" 1596915 NIL MODMONOM (NIL T T NIL) -8 NIL NIL) (-648 1585021 1593507 1593929 "MODMON" 1594931 NIL MODMON (NIL T T) -8 NIL NIL) (-647 1582147 1583865 1584141 "MODFIELD" 1584896 NIL MODFIELD (NIL T T NIL NIL NIL) -8 NIL NIL) (-646 1581673 1581716 1581895 "MMAP" 1582098 NIL MMAP (NIL T T T T T T) -7 NIL NIL) (-645 1579909 1580686 1580727 "MLO" 1581144 NIL MLO (NIL T) -9 NIL 1581385) (-644 1577276 1577791 1578393 "MLIFT" 1579390 NIL MLIFT (NIL T T T T) -7 NIL NIL) (-643 1576667 1576751 1576905 "MKUCFUNC" 1577187 NIL MKUCFUNC (NIL T T T) -7 NIL NIL) (-642 1576266 1576336 1576459 "MKRECORD" 1576590 NIL MKRECORD (NIL T T) -7 NIL NIL) (-641 1575314 1575475 1575703 "MKFUNC" 1576077 NIL MKFUNC (NIL T) -7 NIL NIL) (-640 1574702 1574806 1574962 "MKFLCFN" 1575197 NIL MKFLCFN (NIL T) -7 NIL NIL) (-639 1574128 1574495 1574584 "MKCHSET" 1574646 NIL MKCHSET (NIL T) -8 NIL NIL) (-638 1573405 1573507 1573692 "MKBCFUNC" 1574021 NIL MKBCFUNC (NIL T T T T) -7 NIL NIL) (-637 1570089 1572959 1573095 "MINT" 1573289 T MINT (NIL) -8 NIL NIL) (-636 1568901 1569144 1569421 "MHROWRED" 1569844 NIL MHROWRED (NIL T) -7 NIL NIL) (-635 1564172 1567346 1567770 "MFLOAT" 1568497 T MFLOAT (NIL) -8 NIL NIL) (-634 1563529 1563605 1563776 "MFINFACT" 1564084 NIL MFINFACT (NIL T T T T) -7 NIL NIL) (-633 1559844 1560692 1561576 "MESH" 1562665 T MESH (NIL) -7 NIL NIL) (-632 1558234 1558546 1558899 "MDDFACT" 1559531 NIL MDDFACT (NIL T) -7 NIL NIL) (-631 1555076 1557393 1557435 "MDAGG" 1557690 NIL MDAGG (NIL T) -9 NIL 1557833) (-630 1544774 1554369 1554576 "MCMPLX" 1554889 T MCMPLX (NIL) -8 NIL NIL) (-629 1543915 1544061 1544261 "MCDEN" 1544623 NIL MCDEN (NIL T T) -7 NIL NIL) (-628 1541805 1542075 1542455 "MCALCFN" 1543645 NIL MCALCFN (NIL T T T T) -7 NIL NIL) (-627 1539427 1539950 1540511 "MATSTOR" 1541276 NIL MATSTOR (NIL T) -7 NIL NIL) (-626 1535435 1538802 1539049 "MATRIX" 1539212 NIL MATRIX (NIL T) -8 NIL NIL) (-625 1531205 1531908 1532644 "MATLIN" 1534792 NIL MATLIN (NIL T T T T) -7 NIL NIL) (-624 1521402 1524540 1524617 "MATCAT" 1529455 NIL MATCAT (NIL T T T) -9 NIL 1530872) (-623 1517767 1518780 1520135 "MATCAT-" 1520140 NIL MATCAT- (NIL T T T T) -8 NIL NIL) (-622 1516369 1516522 1516853 "MATCAT2" 1517602 NIL MATCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-621 1514481 1514805 1515189 "MAPPKG3" 1516044 NIL MAPPKG3 (NIL T T T) -7 NIL NIL) (-620 1513462 1513635 1513857 "MAPPKG2" 1514305 NIL MAPPKG2 (NIL T T) -7 NIL NIL) (-619 1511961 1512245 1512572 "MAPPKG1" 1513168 NIL MAPPKG1 (NIL T) -7 NIL NIL) (-618 1511572 1511630 1511753 "MAPHACK3" 1511897 NIL MAPHACK3 (NIL T T T) -7 NIL NIL) (-617 1511164 1511225 1511339 "MAPHACK2" 1511504 NIL MAPHACK2 (NIL T T) -7 NIL NIL) (-616 1510602 1510705 1510847 "MAPHACK1" 1511055 NIL MAPHACK1 (NIL T) -7 NIL NIL) (-615 1508710 1509304 1509607 "MAGMA" 1510331 NIL MAGMA (NIL T) -8 NIL NIL) (-614 1505184 1506954 1507414 "M3D" 1508283 NIL M3D (NIL T) -8 NIL NIL) (-613 1499339 1503554 1503596 "LZSTAGG" 1504378 NIL LZSTAGG (NIL T) -9 NIL 1504673) (-612 1495312 1496470 1497927 "LZSTAGG-" 1497932 NIL LZSTAGG- (NIL T T) -8 NIL NIL) (-611 1492428 1493205 1493691 "LWORD" 1494858 NIL LWORD (NIL T) -8 NIL NIL) (-610 1485588 1492199 1492333 "LSQM" 1492338 NIL LSQM (NIL NIL T) -8 NIL NIL) (-609 1484812 1484951 1485179 "LSPP" 1485443 NIL LSPP (NIL T T T T) -7 NIL NIL) (-608 1482624 1482925 1483381 "LSMP" 1484501 NIL LSMP (NIL T T T T) -7 NIL NIL) (-607 1479403 1480077 1480807 "LSMP1" 1481926 NIL LSMP1 (NIL T) -7 NIL NIL) (-606 1473329 1478571 1478613 "LSAGG" 1478675 NIL LSAGG (NIL T) -9 NIL 1478753) (-605 1470024 1470948 1472161 "LSAGG-" 1472166 NIL LSAGG- (NIL T T) -8 NIL NIL) (-604 1467650 1469168 1469417 "LPOLY" 1469819 NIL LPOLY (NIL T T) -8 NIL NIL) (-603 1467232 1467317 1467440 "LPEFRAC" 1467559 NIL LPEFRAC (NIL T) -7 NIL NIL) (-602 1465579 1466326 1466579 "LO" 1467064 NIL LO (NIL T T T) -8 NIL NIL) (-601 1465232 1465344 1465373 "LOGIC" 1465484 T LOGIC (NIL) -9 NIL 1465564) (-600 1465094 1465117 1465188 "LOGIC-" 1465193 NIL LOGIC- (NIL T) -8 NIL NIL) (-599 1464287 1464427 1464620 "LODOOPS" 1464950 NIL LODOOPS (NIL T T) -7 NIL NIL) (-598 1461705 1464204 1464269 "LODO" 1464274 NIL LODO (NIL T NIL) -8 NIL NIL) (-597 1460251 1460486 1460837 "LODOF" 1461452 NIL LODOF (NIL T T) -7 NIL NIL) (-596 1456670 1459106 1459147 "LODOCAT" 1459579 NIL LODOCAT (NIL T) -9 NIL 1459790) (-595 1456404 1456462 1456588 "LODOCAT-" 1456593 NIL LODOCAT- (NIL T T) -8 NIL NIL) (-594 1453718 1456245 1456363 "LODO2" 1456368 NIL LODO2 (NIL T T) -8 NIL NIL) (-593 1451147 1453655 1453700 "LODO1" 1453705 NIL LODO1 (NIL T) -8 NIL NIL) (-592 1450010 1450175 1450486 "LODEEF" 1450970 NIL LODEEF (NIL T T T) -7 NIL NIL) (-591 1445296 1448140 1448182 "LNAGG" 1449129 NIL LNAGG (NIL T) -9 NIL 1449573) (-590 1444443 1444657 1444999 "LNAGG-" 1445004 NIL LNAGG- (NIL T T) -8 NIL NIL) (-589 1440608 1441370 1442008 "LMOPS" 1443859 NIL LMOPS (NIL T T NIL) -8 NIL NIL) (-588 1440005 1440367 1440408 "LMODULE" 1440468 NIL LMODULE (NIL T) -9 NIL 1440510) (-587 1437251 1439650 1439773 "LMDICT" 1439915 NIL LMDICT (NIL T) -8 NIL NIL) (-586 1430478 1436197 1436495 "LIST" 1436986 NIL LIST (NIL T) -8 NIL NIL) (-585 1430003 1430077 1430216 "LIST3" 1430398 NIL LIST3 (NIL T T T) -7 NIL NIL) (-584 1429010 1429188 1429416 "LIST2" 1429821 NIL LIST2 (NIL T T) -7 NIL NIL) (-583 1427144 1427456 1427855 "LIST2MAP" 1428657 NIL LIST2MAP (NIL T T) -7 NIL NIL) (-582 1425856 1426536 1426577 "LINEXP" 1426830 NIL LINEXP (NIL T) -9 NIL 1426978) (-581 1424503 1424763 1425060 "LINDEP" 1425608 NIL LINDEP (NIL T T) -7 NIL NIL) (-580 1421270 1421989 1422766 "LIMITRF" 1423758 NIL LIMITRF (NIL T) -7 NIL NIL) (-579 1419550 1419845 1420260 "LIMITPS" 1420965 NIL LIMITPS (NIL T T) -7 NIL NIL) (-578 1414005 1419061 1419289 "LIE" 1419371 NIL LIE (NIL T T) -8 NIL NIL) (-577 1413055 1413498 1413539 "LIECAT" 1413679 NIL LIECAT (NIL T) -9 NIL 1413830) (-576 1412896 1412923 1413011 "LIECAT-" 1413016 NIL LIECAT- (NIL T T) -8 NIL NIL) (-575 1405508 1412345 1412510 "LIB" 1412751 T LIB (NIL) -8 NIL NIL) (-574 1401145 1402026 1402961 "LGROBP" 1404625 NIL LGROBP (NIL NIL T) -7 NIL NIL) (-573 1399011 1399285 1399647 "LF" 1400866 NIL LF (NIL T T) -7 NIL NIL) (-572 1397850 1398542 1398571 "LFCAT" 1398778 T LFCAT (NIL) -9 NIL 1398917) (-571 1394762 1395388 1396074 "LEXTRIPK" 1397216 NIL LEXTRIPK (NIL T NIL) -7 NIL NIL) (-570 1391468 1392332 1392835 "LEXP" 1394342 NIL LEXP (NIL T T NIL) -8 NIL NIL) (-569 1389866 1390179 1390580 "LEADCDET" 1391150 NIL LEADCDET (NIL T T T T) -7 NIL NIL) (-568 1389062 1389136 1389363 "LAZM3PK" 1389787 NIL LAZM3PK (NIL T T T T T T) -7 NIL NIL) (-567 1383978 1387141 1387678 "LAUPOL" 1388575 NIL LAUPOL (NIL T T) -8 NIL NIL) (-566 1383545 1383589 1383756 "LAPLACE" 1383928 NIL LAPLACE (NIL T T) -7 NIL NIL) (-565 1381473 1382646 1382897 "LA" 1383378 NIL LA (NIL T T T) -8 NIL NIL) (-564 1380535 1381129 1381170 "LALG" 1381231 NIL LALG (NIL T) -9 NIL 1381289) (-563 1380250 1380309 1380444 "LALG-" 1380449 NIL LALG- (NIL T T) -8 NIL NIL) (-562 1379160 1379347 1379644 "KOVACIC" 1380050 NIL KOVACIC (NIL T T) -7 NIL NIL) (-561 1378994 1379018 1379060 "KONVERT" 1379122 NIL KONVERT (NIL T) -9 NIL NIL) (-560 1378828 1378852 1378894 "KOERCE" 1378956 NIL KOERCE (NIL T) -9 NIL NIL) (-559 1376562 1377322 1377715 "KERNEL" 1378467 NIL KERNEL (NIL T) -8 NIL NIL) (-558 1376064 1376145 1376275 "KERNEL2" 1376476 NIL KERNEL2 (NIL T T) -7 NIL NIL) (-557 1369915 1374603 1374658 "KDAGG" 1375035 NIL KDAGG (NIL T T) -9 NIL 1375241) (-556 1369444 1369568 1369773 "KDAGG-" 1369778 NIL KDAGG- (NIL T T T) -8 NIL NIL) (-555 1362619 1369105 1369260 "KAFILE" 1369322 NIL KAFILE (NIL T) -8 NIL NIL) (-554 1357074 1362130 1362358 "JORDAN" 1362440 NIL JORDAN (NIL T T) -8 NIL NIL) (-553 1353373 1355279 1355334 "IXAGG" 1356263 NIL IXAGG (NIL T T) -9 NIL 1356722) (-552 1352292 1352598 1353017 "IXAGG-" 1353022 NIL IXAGG- (NIL T T T) -8 NIL NIL) (-551 1347877 1352214 1352273 "IVECTOR" 1352278 NIL IVECTOR (NIL T NIL) -8 NIL NIL) (-550 1346643 1346880 1347146 "ITUPLE" 1347644 NIL ITUPLE (NIL T) -8 NIL NIL) (-549 1345079 1345256 1345562 "ITRIGMNP" 1346465 NIL ITRIGMNP (NIL T T T) -7 NIL NIL) (-548 1343824 1344028 1344311 "ITFUN3" 1344855 NIL ITFUN3 (NIL T T T) -7 NIL NIL) (-547 1343456 1343513 1343622 "ITFUN2" 1343761 NIL ITFUN2 (NIL T T) -7 NIL NIL) (-546 1341258 1342329 1342626 "ITAYLOR" 1343191 NIL ITAYLOR (NIL T) -8 NIL NIL) (-545 1330249 1335444 1336603 "ISUPS" 1340131 NIL ISUPS (NIL T) -8 NIL NIL) (-544 1329353 1329493 1329729 "ISUMP" 1330096 NIL ISUMP (NIL T T T T) -7 NIL NIL) (-543 1324617 1329154 1329233 "ISTRING" 1329306 NIL ISTRING (NIL NIL) -8 NIL NIL) (-542 1323830 1323911 1324126 "IRURPK" 1324531 NIL IRURPK (NIL T T T T T) -7 NIL NIL) (-541 1322766 1322967 1323207 "IRSN" 1323610 T IRSN (NIL) -7 NIL NIL) (-540 1320801 1321156 1321591 "IRRF2F" 1322404 NIL IRRF2F (NIL T) -7 NIL NIL) (-539 1320548 1320586 1320662 "IRREDFFX" 1320757 NIL IRREDFFX (NIL T) -7 NIL NIL) (-538 1319163 1319422 1319721 "IROOT" 1320281 NIL IROOT (NIL T) -7 NIL NIL) (-537 1315801 1316852 1317542 "IR" 1318505 NIL IR (NIL T) -8 NIL NIL) (-536 1313414 1313909 1314475 "IR2" 1315279 NIL IR2 (NIL T T) -7 NIL NIL) (-535 1312490 1312603 1312823 "IR2F" 1313297 NIL IR2F (NIL T T) -7 NIL NIL) (-534 1312281 1312315 1312375 "IPRNTPK" 1312450 T IPRNTPK (NIL) -7 NIL NIL) (-533 1308835 1312170 1312239 "IPF" 1312244 NIL IPF (NIL NIL) -8 NIL NIL) (-532 1307152 1308760 1308817 "IPADIC" 1308822 NIL IPADIC (NIL NIL NIL) -8 NIL NIL) (-531 1306651 1306709 1306898 "INVLAPLA" 1307088 NIL INVLAPLA (NIL T T) -7 NIL NIL) (-530 1296300 1298653 1301039 "INTTR" 1304315 NIL INTTR (NIL T T) -7 NIL NIL) (-529 1292648 1293389 1294252 "INTTOOLS" 1295486 NIL INTTOOLS (NIL T T) -7 NIL NIL) (-528 1292234 1292325 1292442 "INTSLPE" 1292551 T INTSLPE (NIL) -7 NIL NIL) (-527 1290184 1292157 1292216 "INTRVL" 1292221 NIL INTRVL (NIL T) -8 NIL NIL) (-526 1287791 1288303 1288877 "INTRF" 1289669 NIL INTRF (NIL T) -7 NIL NIL) (-525 1287206 1287303 1287444 "INTRET" 1287689 NIL INTRET (NIL T) -7 NIL NIL) (-524 1285208 1285597 1286066 "INTRAT" 1286814 NIL INTRAT (NIL T T) -7 NIL NIL) (-523 1282441 1283024 1283649 "INTPM" 1284693 NIL INTPM (NIL T T) -7 NIL NIL) (-522 1279150 1279749 1280493 "INTPAF" 1281827 NIL INTPAF (NIL T T T) -7 NIL NIL) (-521 1274393 1275339 1276374 "INTPACK" 1278135 T INTPACK (NIL) -7 NIL NIL) (-520 1271247 1274122 1274249 "INT" 1274286 T INT (NIL) -8 NIL NIL) (-519 1270499 1270651 1270859 "INTHERTR" 1271089 NIL INTHERTR (NIL T T) -7 NIL NIL) (-518 1269938 1270018 1270206 "INTHERAL" 1270413 NIL INTHERAL (NIL T T T T) -7 NIL NIL) (-517 1267784 1268227 1268684 "INTHEORY" 1269501 T INTHEORY (NIL) -7 NIL NIL) (-516 1259107 1260727 1262505 "INTG0" 1266136 NIL INTG0 (NIL T T T) -7 NIL NIL) (-515 1239680 1244470 1249280 "INTFTBL" 1254317 T INTFTBL (NIL) -8 NIL NIL) (-514 1238929 1239067 1239240 "INTFACT" 1239539 NIL INTFACT (NIL T) -7 NIL NIL) (-513 1236320 1236766 1237329 "INTEF" 1238483 NIL INTEF (NIL T T) -7 NIL NIL) (-512 1234781 1235530 1235559 "INTDOM" 1235860 T INTDOM (NIL) -9 NIL 1236067) (-511 1234150 1234324 1234566 "INTDOM-" 1234571 NIL INTDOM- (NIL T) -8 NIL NIL) (-510 1230642 1232574 1232629 "INTCAT" 1233428 NIL INTCAT (NIL T) -9 NIL 1233747) (-509 1230115 1230217 1230345 "INTBIT" 1230534 T INTBIT (NIL) -7 NIL NIL) (-508 1228790 1228944 1229257 "INTALG" 1229960 NIL INTALG (NIL T T T T T) -7 NIL NIL) (-507 1228247 1228337 1228507 "INTAF" 1228694 NIL INTAF (NIL T T) -7 NIL NIL) (-506 1221701 1228057 1228197 "INTABL" 1228202 NIL INTABL (NIL T T T) -8 NIL NIL) (-505 1216651 1219380 1219409 "INS" 1220377 T INS (NIL) -9 NIL 1221058) (-504 1213891 1214662 1215636 "INS-" 1215709 NIL INS- (NIL T) -8 NIL NIL) (-503 1212670 1212897 1213194 "INPSIGN" 1213644 NIL INPSIGN (NIL T T) -7 NIL NIL) (-502 1211788 1211905 1212102 "INPRODPF" 1212550 NIL INPRODPF (NIL T T) -7 NIL NIL) (-501 1210682 1210799 1211036 "INPRODFF" 1211668 NIL INPRODFF (NIL T T T T) -7 NIL NIL) (-500 1209682 1209834 1210094 "INNMFACT" 1210518 NIL INNMFACT (NIL T T T T) -7 NIL NIL) (-499 1208879 1208976 1209164 "INMODGCD" 1209581 NIL INMODGCD (NIL T T NIL NIL) -7 NIL NIL) (-498 1207388 1207632 1207956 "INFSP" 1208624 NIL INFSP (NIL T T T) -7 NIL NIL) (-497 1206572 1206689 1206872 "INFPROD0" 1207268 NIL INFPROD0 (NIL T T) -7 NIL NIL) (-496 1203582 1204741 1205232 "INFORM" 1206089 T INFORM (NIL) -8 NIL NIL) (-495 1203192 1203252 1203350 "INFORM1" 1203517 NIL INFORM1 (NIL T) -7 NIL NIL) (-494 1202715 1202804 1202918 "INFINITY" 1203098 T INFINITY (NIL) -7 NIL NIL) (-493 1201333 1201581 1201902 "INEP" 1202463 NIL INEP (NIL T T T) -7 NIL NIL) (-492 1200609 1201230 1201295 "INDE" 1201300 NIL INDE (NIL T) -8 NIL NIL) (-491 1200173 1200241 1200358 "INCRMAPS" 1200536 NIL INCRMAPS (NIL T) -7 NIL NIL) (-490 1195484 1196409 1197353 "INBFF" 1199261 NIL INBFF (NIL T) -7 NIL NIL) (-489 1191979 1195329 1195432 "IMATRIX" 1195437 NIL IMATRIX (NIL T NIL NIL) -8 NIL NIL) (-488 1190691 1190814 1191129 "IMATQF" 1191835 NIL IMATQF (NIL T T T T T T T T) -7 NIL NIL) (-487 1188911 1189138 1189475 "IMATLIN" 1190447 NIL IMATLIN (NIL T T T T) -7 NIL NIL) (-486 1183537 1188835 1188893 "ILIST" 1188898 NIL ILIST (NIL T NIL) -8 NIL NIL) (-485 1181490 1183397 1183510 "IIARRAY2" 1183515 NIL IIARRAY2 (NIL T NIL NIL T T) -8 NIL NIL) (-484 1176858 1181401 1181465 "IFF" 1181470 NIL IFF (NIL NIL NIL) -8 NIL NIL) (-483 1171901 1176150 1176338 "IFARRAY" 1176715 NIL IFARRAY (NIL T NIL) -8 NIL NIL) (-482 1171108 1171805 1171878 "IFAMON" 1171883 NIL IFAMON (NIL T T NIL) -8 NIL NIL) (-481 1170691 1170756 1170811 "IEVALAB" 1171018 NIL IEVALAB (NIL T T) -9 NIL NIL) (-480 1170366 1170434 1170594 "IEVALAB-" 1170599 NIL IEVALAB- (NIL T T T) -8 NIL NIL) (-479 1170024 1170280 1170343 "IDPO" 1170348 NIL IDPO (NIL T T) -8 NIL NIL) (-478 1169301 1169913 1169988 "IDPOAMS" 1169993 NIL IDPOAMS (NIL T T) -8 NIL NIL) (-477 1168635 1169190 1169265 "IDPOAM" 1169270 NIL IDPOAM (NIL T T) -8 NIL NIL) (-476 1167720 1167970 1168024 "IDPC" 1168437 NIL IDPC (NIL T T) -9 NIL 1168586) (-475 1167216 1167612 1167685 "IDPAM" 1167690 NIL IDPAM (NIL T T) -8 NIL NIL) (-474 1166619 1167108 1167181 "IDPAG" 1167186 NIL IDPAG (NIL T T) -8 NIL NIL) (-473 1162874 1163722 1164617 "IDECOMP" 1165776 NIL IDECOMP (NIL NIL NIL) -7 NIL NIL) (-472 1155748 1156797 1157844 "IDEAL" 1161910 NIL IDEAL (NIL T T T T) -8 NIL NIL) (-471 1154912 1155024 1155223 "ICDEN" 1155632 NIL ICDEN (NIL T T T T) -7 NIL NIL) (-470 1154011 1154392 1154539 "ICARD" 1154785 T ICARD (NIL) -8 NIL NIL) (-469 1152083 1152396 1152799 "IBPTOOLS" 1153688 NIL IBPTOOLS (NIL T T T T) -7 NIL NIL) (-468 1147697 1151703 1151816 "IBITS" 1152002 NIL IBITS (NIL NIL) -8 NIL NIL) (-467 1144420 1144996 1145691 "IBATOOL" 1147114 NIL IBATOOL (NIL T T T) -7 NIL NIL) (-466 1142200 1142661 1143194 "IBACHIN" 1143955 NIL IBACHIN (NIL T T T) -7 NIL NIL) (-465 1140077 1142046 1142149 "IARRAY2" 1142154 NIL IARRAY2 (NIL T NIL NIL) -8 NIL NIL) (-464 1136230 1140003 1140060 "IARRAY1" 1140065 NIL IARRAY1 (NIL T NIL) -8 NIL NIL) (-463 1130169 1134648 1135126 "IAN" 1135772 T IAN (NIL) -8 NIL NIL) (-462 1129680 1129737 1129910 "IALGFACT" 1130106 NIL IALGFACT (NIL T T T T) -7 NIL NIL) (-461 1129207 1129320 1129349 "HYPCAT" 1129556 T HYPCAT (NIL) -9 NIL NIL) (-460 1128745 1128862 1129048 "HYPCAT-" 1129053 NIL HYPCAT- (NIL T) -8 NIL NIL) (-459 1125424 1126755 1126797 "HOAGG" 1127778 NIL HOAGG (NIL T) -9 NIL 1128457) (-458 1124018 1124417 1124943 "HOAGG-" 1124948 NIL HOAGG- (NIL T T) -8 NIL NIL) (-457 1117849 1123459 1123625 "HEXADEC" 1123872 T HEXADEC (NIL) -8 NIL NIL) (-456 1116597 1116819 1117082 "HEUGCD" 1117626 NIL HEUGCD (NIL T) -7 NIL NIL) (-455 1115700 1116434 1116564 "HELLFDIV" 1116569 NIL HELLFDIV (NIL T T T T) -8 NIL NIL) (-454 1113928 1115477 1115565 "HEAP" 1115644 NIL HEAP (NIL T) -8 NIL NIL) (-453 1107795 1113843 1113905 "HDP" 1113910 NIL HDP (NIL NIL T) -8 NIL NIL) (-452 1101507 1107432 1107583 "HDMP" 1107696 NIL HDMP (NIL NIL T) -8 NIL NIL) (-451 1100832 1100971 1101135 "HB" 1101363 T HB (NIL) -7 NIL NIL) (-450 1094329 1100678 1100782 "HASHTBL" 1100787 NIL HASHTBL (NIL T T NIL) -8 NIL NIL) (-449 1092082 1093957 1094136 "HACKPI" 1094170 T HACKPI (NIL) -8 NIL NIL) (-448 1087778 1091936 1092048 "GTSET" 1092053 NIL GTSET (NIL T T T T) -8 NIL NIL) (-447 1081304 1087656 1087754 "GSTBL" 1087759 NIL GSTBL (NIL T T T NIL) -8 NIL NIL) (-446 1073540 1080340 1080604 "GSERIES" 1081095 NIL GSERIES (NIL T NIL NIL) -8 NIL NIL) (-445 1072562 1073015 1073044 "GROUP" 1073305 T GROUP (NIL) -9 NIL 1073464) (-444 1071678 1071901 1072245 "GROUP-" 1072250 NIL GROUP- (NIL T) -8 NIL NIL) (-443 1070047 1070366 1070753 "GROEBSOL" 1071355 NIL GROEBSOL (NIL NIL T T) -7 NIL NIL) (-442 1068987 1069249 1069301 "GRMOD" 1069830 NIL GRMOD (NIL T T) -9 NIL 1069998) (-441 1068755 1068791 1068919 "GRMOD-" 1068924 NIL GRMOD- (NIL T T T) -8 NIL NIL) (-440 1064083 1065109 1066109 "GRIMAGE" 1067775 T GRIMAGE (NIL) -8 NIL NIL) (-439 1062550 1062810 1063134 "GRDEF" 1063779 T GRDEF (NIL) -7 NIL NIL) (-438 1061994 1062110 1062251 "GRAY" 1062429 T GRAY (NIL) -7 NIL NIL) (-437 1061227 1061607 1061659 "GRALG" 1061812 NIL GRALG (NIL T T) -9 NIL 1061904) (-436 1060888 1060961 1061124 "GRALG-" 1061129 NIL GRALG- (NIL T T T) -8 NIL NIL) (-435 1057696 1060477 1060653 "GPOLSET" 1060795 NIL GPOLSET (NIL T T T T) -8 NIL NIL) (-434 1057052 1057109 1057366 "GOSPER" 1057633 NIL GOSPER (NIL T T T T T) -7 NIL NIL) (-433 1052811 1053490 1054016 "GMODPOL" 1056751 NIL GMODPOL (NIL NIL T T T NIL T) -8 NIL NIL) (-432 1051816 1052000 1052238 "GHENSEL" 1052623 NIL GHENSEL (NIL T T) -7 NIL NIL) (-431 1045882 1046725 1047751 "GENUPS" 1050900 NIL GENUPS (NIL T T) -7 NIL NIL) (-430 1045579 1045630 1045719 "GENUFACT" 1045825 NIL GENUFACT (NIL T) -7 NIL NIL) (-429 1044991 1045068 1045233 "GENPGCD" 1045497 NIL GENPGCD (NIL T T T T) -7 NIL NIL) (-428 1044465 1044500 1044713 "GENMFACT" 1044950 NIL GENMFACT (NIL T T T T T) -7 NIL NIL) (-427 1043033 1043288 1043595 "GENEEZ" 1044208 NIL GENEEZ (NIL T T) -7 NIL NIL) (-426 1036907 1042646 1042807 "GDMP" 1042956 NIL GDMP (NIL NIL T T) -8 NIL NIL) (-425 1026289 1030678 1031784 "GCNAALG" 1035890 NIL GCNAALG (NIL T NIL NIL NIL) -8 NIL NIL) (-424 1024710 1025582 1025611 "GCDDOM" 1025866 T GCDDOM (NIL) -9 NIL 1026023) (-423 1024180 1024307 1024522 "GCDDOM-" 1024527 NIL GCDDOM- (NIL T) -8 NIL NIL) (-422 1022852 1023037 1023341 "GB" 1023959 NIL GB (NIL T T T T) -7 NIL NIL) (-421 1011472 1013798 1016190 "GBINTERN" 1020543 NIL GBINTERN (NIL T T T T) -7 NIL NIL) (-420 1009309 1009601 1010022 "GBF" 1011147 NIL GBF (NIL T T T T) -7 NIL NIL) (-419 1008090 1008255 1008522 "GBEUCLID" 1009125 NIL GBEUCLID (NIL T T T T) -7 NIL NIL) (-418 1007439 1007564 1007713 "GAUSSFAC" 1007961 T GAUSSFAC (NIL) -7 NIL NIL) (-417 1005816 1006118 1006431 "GALUTIL" 1007158 NIL GALUTIL (NIL T) -7 NIL NIL) (-416 1004133 1004407 1004730 "GALPOLYU" 1005543 NIL GALPOLYU (NIL T T) -7 NIL NIL) (-415 1001522 1001812 1002217 "GALFACTU" 1003830 NIL GALFACTU (NIL T T T) -7 NIL NIL) (-414 993328 994827 996435 "GALFACT" 999954 NIL GALFACT (NIL T) -7 NIL NIL) (-413 990715 991373 991402 "FVFUN" 992558 T FVFUN (NIL) -9 NIL 993278) (-412 989980 990162 990191 "FVC" 990482 T FVC (NIL) -9 NIL 990665) (-411 989622 989777 989858 "FUNCTION" 989932 NIL FUNCTION (NIL NIL) -8 NIL NIL) (-410 987292 987843 988332 "FT" 989153 T FT (NIL) -8 NIL NIL) (-409 986110 986593 986796 "FTEM" 987109 T FTEM (NIL) -8 NIL NIL) (-408 984375 984663 985065 "FSUPFACT" 985802 NIL FSUPFACT (NIL T T T) -7 NIL NIL) (-407 982772 983061 983393 "FST" 984063 T FST (NIL) -8 NIL NIL) (-406 981947 982053 982247 "FSRED" 982654 NIL FSRED (NIL T T) -7 NIL NIL) (-405 980626 980881 981235 "FSPRMELT" 981662 NIL FSPRMELT (NIL T T) -7 NIL NIL) (-404 977711 978149 978648 "FSPECF" 980189 NIL FSPECF (NIL T T) -7 NIL NIL) (-403 960084 968641 968682 "FS" 972520 NIL FS (NIL T) -9 NIL 974802) (-402 948734 951724 955780 "FS-" 956077 NIL FS- (NIL T T) -8 NIL NIL) (-401 948250 948304 948480 "FSINT" 948675 NIL FSINT (NIL T T) -7 NIL NIL) (-400 946531 947243 947546 "FSERIES" 948029 NIL FSERIES (NIL T T) -8 NIL NIL) (-399 945549 945665 945895 "FSCINT" 946411 NIL FSCINT (NIL T T) -7 NIL NIL) (-398 941783 944493 944535 "FSAGG" 944905 NIL FSAGG (NIL T) -9 NIL 945164) (-397 939545 940146 940942 "FSAGG-" 941037 NIL FSAGG- (NIL T T) -8 NIL NIL) (-396 938587 938730 938957 "FSAGG2" 939398 NIL FSAGG2 (NIL T T T T) -7 NIL NIL) (-395 936246 936525 937078 "FS2UPS" 938305 NIL FS2UPS (NIL T T T T T NIL) -7 NIL NIL) (-394 935832 935875 936028 "FS2" 936197 NIL FS2 (NIL T T T T) -7 NIL NIL) (-393 934692 934863 935171 "FS2EXPXP" 935657 NIL FS2EXPXP (NIL T T NIL NIL) -7 NIL NIL) (-392 934118 934233 934385 "FRUTIL" 934572 NIL FRUTIL (NIL T) -7 NIL NIL) (-391 925539 929617 930973 "FR" 932794 NIL FR (NIL T) -8 NIL NIL) (-390 920615 923258 923299 "FRNAALG" 924695 NIL FRNAALG (NIL T) -9 NIL 925302) (-389 916294 917364 918639 "FRNAALG-" 919389 NIL FRNAALG- (NIL T T) -8 NIL NIL) (-388 915932 915975 916102 "FRNAAF2" 916245 NIL FRNAAF2 (NIL T T T T) -7 NIL NIL) (-387 914297 914789 915083 "FRMOD" 915745 NIL FRMOD (NIL T T T T NIL) -8 NIL NIL) (-386 912020 912688 913004 "FRIDEAL" 914088 NIL FRIDEAL (NIL T T T T) -8 NIL NIL) (-385 911219 911306 911593 "FRIDEAL2" 911927 NIL FRIDEAL2 (NIL T T T T T T T T) -7 NIL NIL) (-384 910476 910884 910926 "FRETRCT" 910931 NIL FRETRCT (NIL T) -9 NIL 911102) (-383 909588 909819 910170 "FRETRCT-" 910175 NIL FRETRCT- (NIL T T) -8 NIL NIL) (-382 906797 908017 908077 "FRAMALG" 908959 NIL FRAMALG (NIL T T) -9 NIL 909251) (-381 904930 905386 906016 "FRAMALG-" 906239 NIL FRAMALG- (NIL T T T) -8 NIL NIL) (-380 898832 904405 904681 "FRAC" 904686 NIL FRAC (NIL T) -8 NIL NIL) (-379 898468 898525 898632 "FRAC2" 898769 NIL FRAC2 (NIL T T) -7 NIL NIL) (-378 898104 898161 898268 "FR2" 898405 NIL FR2 (NIL T T) -7 NIL NIL) (-377 892777 895690 895719 "FPS" 896838 T FPS (NIL) -9 NIL 897394) (-376 892226 892335 892499 "FPS-" 892645 NIL FPS- (NIL T) -8 NIL NIL) (-375 889674 891371 891400 "FPC" 891625 T FPC (NIL) -9 NIL 891767) (-374 889467 889507 889604 "FPC-" 889609 NIL FPC- (NIL T) -8 NIL NIL) (-373 888345 888955 888997 "FPATMAB" 889002 NIL FPATMAB (NIL T) -9 NIL 889154) (-372 886045 886521 886947 "FPARFRAC" 887982 NIL FPARFRAC (NIL T T) -8 NIL NIL) (-371 881440 881937 882619 "FORTRAN" 885477 NIL FORTRAN (NIL NIL NIL NIL NIL) -8 NIL NIL) (-370 879156 879656 880195 "FORT" 880921 T FORT (NIL) -7 NIL NIL) (-369 876831 877393 877422 "FORTFN" 878482 T FORTFN (NIL) -9 NIL 879106) (-368 876594 876644 876673 "FORTCAT" 876732 T FORTCAT (NIL) -9 NIL 876794) (-367 874654 875137 875536 "FORMULA" 876215 T FORMULA (NIL) -8 NIL NIL) (-366 874442 874472 874541 "FORMULA1" 874618 NIL FORMULA1 (NIL T) -7 NIL NIL) (-365 873965 874017 874190 "FORDER" 874384 NIL FORDER (NIL T T T T) -7 NIL NIL) (-364 873061 873225 873418 "FOP" 873792 T FOP (NIL) -7 NIL NIL) (-363 871669 872341 872515 "FNLA" 872943 NIL FNLA (NIL NIL NIL T) -8 NIL NIL) (-362 870337 870726 870755 "FNCAT" 871327 T FNCAT (NIL) -9 NIL 871620) (-361 869903 870296 870324 "FNAME" 870329 T FNAME (NIL) -8 NIL NIL) (-360 868562 869535 869564 "FMTC" 869569 T FMTC (NIL) -9 NIL 869604) (-359 864880 866087 866715 "FMONOID" 867967 NIL FMONOID (NIL T) -8 NIL NIL) (-358 864100 864623 864771 "FM" 864776 NIL FM (NIL T T) -8 NIL NIL) (-357 861523 862169 862198 "FMFUN" 863342 T FMFUN (NIL) -9 NIL 864050) (-356 860791 860972 861001 "FMC" 861291 T FMC (NIL) -9 NIL 861473) (-355 858020 858854 858908 "FMCAT" 860090 NIL FMCAT (NIL T T) -9 NIL 860584) (-354 856915 857788 857887 "FM1" 857965 NIL FM1 (NIL T T) -8 NIL NIL) (-353 854689 855105 855599 "FLOATRP" 856466 NIL FLOATRP (NIL T) -7 NIL NIL) (-352 848175 852345 852975 "FLOAT" 854079 T FLOAT (NIL) -8 NIL NIL) (-351 845613 846113 846691 "FLOATCP" 847642 NIL FLOATCP (NIL T) -7 NIL NIL) (-350 844401 845249 845290 "FLINEXP" 845295 NIL FLINEXP (NIL T) -9 NIL 845388) (-349 843556 843791 844118 "FLINEXP-" 844123 NIL FLINEXP- (NIL T T) -8 NIL NIL) (-348 842632 842776 843000 "FLASORT" 843408 NIL FLASORT (NIL T T) -7 NIL NIL) (-347 839850 840692 840745 "FLALG" 841972 NIL FLALG (NIL T T) -9 NIL 842439) (-346 833634 837336 837378 "FLAGG" 838640 NIL FLAGG (NIL T) -9 NIL 839292) (-345 832360 832699 833189 "FLAGG-" 833194 NIL FLAGG- (NIL T T) -8 NIL NIL) (-344 831402 831545 831772 "FLAGG2" 832213 NIL FLAGG2 (NIL T T T T) -7 NIL NIL) (-343 828374 829392 829452 "FINRALG" 830580 NIL FINRALG (NIL T T) -9 NIL 831088) (-342 827534 827763 828102 "FINRALG-" 828107 NIL FINRALG- (NIL T T T) -8 NIL NIL) (-341 826940 827153 827182 "FINITE" 827378 T FINITE (NIL) -9 NIL 827485) (-340 819399 821560 821601 "FINAALG" 825268 NIL FINAALG (NIL T) -9 NIL 826721) (-339 814740 815781 816925 "FINAALG-" 818304 NIL FINAALG- (NIL T T) -8 NIL NIL) (-338 814135 814495 814598 "FILE" 814670 NIL FILE (NIL T) -8 NIL NIL) (-337 812819 813131 813186 "FILECAT" 813870 NIL FILECAT (NIL T T) -9 NIL 814086) (-336 810681 812237 812266 "FIELD" 812306 T FIELD (NIL) -9 NIL 812386) (-335 809301 809686 810197 "FIELD-" 810202 NIL FIELD- (NIL T) -8 NIL NIL) (-334 807116 807938 808284 "FGROUP" 808988 NIL FGROUP (NIL T) -8 NIL NIL) (-333 806206 806370 806590 "FGLMICPK" 806948 NIL FGLMICPK (NIL T NIL) -7 NIL NIL) (-332 802008 806131 806188 "FFX" 806193 NIL FFX (NIL T NIL) -8 NIL NIL) (-331 801609 801670 801805 "FFSLPE" 801941 NIL FFSLPE (NIL T T T) -7 NIL NIL) (-330 797604 798381 799177 "FFPOLY" 800845 NIL FFPOLY (NIL T) -7 NIL NIL) (-329 797108 797144 797353 "FFPOLY2" 797562 NIL FFPOLY2 (NIL T T) -7 NIL NIL) (-328 792930 797027 797090 "FFP" 797095 NIL FFP (NIL T NIL) -8 NIL NIL) (-327 788298 792841 792905 "FF" 792910 NIL FF (NIL NIL NIL) -8 NIL NIL) (-326 783394 787641 787831 "FFNBX" 788152 NIL FFNBX (NIL T NIL) -8 NIL NIL) (-325 778304 782529 782787 "FFNBP" 783248 NIL FFNBP (NIL T NIL) -8 NIL NIL) (-324 772907 777588 777799 "FFNB" 778137 NIL FFNB (NIL NIL NIL) -8 NIL NIL) (-323 771739 771937 772252 "FFINTBAS" 772704 NIL FFINTBAS (NIL T T T) -7 NIL NIL) (-322 767962 770202 770231 "FFIELDC" 770851 T FFIELDC (NIL) -9 NIL 771227) (-321 766625 766995 767492 "FFIELDC-" 767497 NIL FFIELDC- (NIL T) -8 NIL NIL) (-320 766195 766240 766364 "FFHOM" 766567 NIL FFHOM (NIL T T T) -7 NIL NIL) (-319 763893 764377 764894 "FFF" 765710 NIL FFF (NIL T) -7 NIL NIL) (-318 759481 763635 763736 "FFCGX" 763836 NIL FFCGX (NIL T NIL) -8 NIL NIL) (-317 755083 759213 759320 "FFCGP" 759424 NIL FFCGP (NIL T NIL) -8 NIL NIL) (-316 750236 754810 754918 "FFCG" 755019 NIL FFCG (NIL NIL NIL) -8 NIL NIL) (-315 732181 741304 741391 "FFCAT" 746556 NIL FFCAT (NIL T T T) -9 NIL 748043) (-314 727379 728426 729740 "FFCAT-" 730970 NIL FFCAT- (NIL T T T T) -8 NIL NIL) (-313 726790 726833 727068 "FFCAT2" 727330 NIL FFCAT2 (NIL T T T T T T T T) -7 NIL NIL) (-312 715990 719780 720997 "FEXPR" 725645 NIL FEXPR (NIL NIL NIL T) -8 NIL NIL) (-311 714989 715424 715466 "FEVALAB" 715550 NIL FEVALAB (NIL T) -9 NIL 715811) (-310 714148 714358 714696 "FEVALAB-" 714701 NIL FEVALAB- (NIL T T) -8 NIL NIL) (-309 712741 713531 713734 "FDIV" 714047 NIL FDIV (NIL T T T T) -8 NIL NIL) (-308 709807 710522 710638 "FDIVCAT" 712206 NIL FDIVCAT (NIL T T T T) -9 NIL 712643) (-307 709569 709596 709766 "FDIVCAT-" 709771 NIL FDIVCAT- (NIL T T T T T) -8 NIL NIL) (-306 708789 708876 709153 "FDIV2" 709476 NIL FDIV2 (NIL T T T T T T T T) -7 NIL NIL) (-305 707475 707734 708023 "FCPAK1" 708520 T FCPAK1 (NIL) -7 NIL NIL) (-304 706603 706975 707116 "FCOMP" 707366 NIL FCOMP (NIL T) -8 NIL NIL) (-303 690231 693646 697209 "FC" 703060 T FC (NIL) -8 NIL NIL) (-302 682826 686872 686913 "FAXF" 688715 NIL FAXF (NIL T) -9 NIL 689406) (-301 680105 680760 681585 "FAXF-" 682050 NIL FAXF- (NIL T T) -8 NIL NIL) (-300 675205 679481 679657 "FARRAY" 679962 NIL FARRAY (NIL T) -8 NIL NIL) (-299 670595 672666 672719 "FAMR" 673731 NIL FAMR (NIL T T) -9 NIL 674191) (-298 669486 669788 670222 "FAMR-" 670227 NIL FAMR- (NIL T T T) -8 NIL NIL) (-297 668682 669408 669461 "FAMONOID" 669466 NIL FAMONOID (NIL T) -8 NIL NIL) (-296 666514 667198 667252 "FAMONC" 668193 NIL FAMONC (NIL T T) -9 NIL 668578) (-295 665206 666268 666405 "FAGROUP" 666410 NIL FAGROUP (NIL T) -8 NIL NIL) (-294 663009 663328 663730 "FACUTIL" 664887 NIL FACUTIL (NIL T T T T) -7 NIL NIL) (-293 662108 662293 662515 "FACTFUNC" 662819 NIL FACTFUNC (NIL T) -7 NIL NIL) (-292 654431 661359 661571 "EXPUPXS" 661964 NIL EXPUPXS (NIL T NIL NIL) -8 NIL NIL) (-291 651914 652454 653040 "EXPRTUBE" 653865 T EXPRTUBE (NIL) -7 NIL NIL) (-290 648108 648700 649437 "EXPRODE" 651253 NIL EXPRODE (NIL T T) -7 NIL NIL) (-289 633267 646767 647193 "EXPR" 647714 NIL EXPR (NIL T) -8 NIL NIL) (-288 627695 628282 629094 "EXPR2UPS" 632565 NIL EXPR2UPS (NIL T T) -7 NIL NIL) (-287 627331 627388 627495 "EXPR2" 627632 NIL EXPR2 (NIL T T) -7 NIL NIL) (-286 618685 626468 626763 "EXPEXPAN" 627169 NIL EXPEXPAN (NIL T T NIL NIL) -8 NIL NIL) (-285 618512 618642 618671 "EXIT" 618676 T EXIT (NIL) -8 NIL NIL) (-284 618139 618201 618314 "EVALCYC" 618444 NIL EVALCYC (NIL T) -7 NIL NIL) (-283 617679 617797 617839 "EVALAB" 618009 NIL EVALAB (NIL T) -9 NIL 618113) (-282 617160 617282 617503 "EVALAB-" 617508 NIL EVALAB- (NIL T T) -8 NIL NIL) (-281 614622 615934 615963 "EUCDOM" 616518 T EUCDOM (NIL) -9 NIL 616868) (-280 613027 613469 614059 "EUCDOM-" 614064 NIL EUCDOM- (NIL T) -8 NIL NIL) (-279 600605 603353 606093 "ESTOOLS" 610307 T ESTOOLS (NIL) -7 NIL NIL) (-278 600241 600298 600405 "ESTOOLS2" 600542 NIL ESTOOLS2 (NIL T T) -7 NIL NIL) (-277 599992 600034 600114 "ESTOOLS1" 600193 NIL ESTOOLS1 (NIL T) -7 NIL NIL) (-276 593929 595653 595682 "ES" 598446 T ES (NIL) -9 NIL 599852) (-275 588877 590163 591980 "ES-" 592144 NIL ES- (NIL T) -8 NIL NIL) (-274 585252 586012 586792 "ESCONT" 588117 T ESCONT (NIL) -7 NIL NIL) (-273 584997 585029 585111 "ESCONT1" 585214 NIL ESCONT1 (NIL NIL NIL) -7 NIL NIL) (-272 584672 584722 584822 "ES2" 584941 NIL ES2 (NIL T T) -7 NIL NIL) (-271 584302 584360 584469 "ES1" 584608 NIL ES1 (NIL T T) -7 NIL NIL) (-270 583518 583647 583823 "ERROR" 584146 T ERROR (NIL) -7 NIL NIL) (-269 577021 583377 583468 "EQTBL" 583473 NIL EQTBL (NIL T T) -8 NIL NIL) (-268 569458 572339 573786 "EQ" 575607 NIL -3079 (NIL T) -8 NIL NIL) (-267 569090 569147 569256 "EQ2" 569395 NIL EQ2 (NIL T T) -7 NIL NIL) (-266 564382 565428 566521 "EP" 568029 NIL EP (NIL T) -7 NIL NIL) (-265 562969 563268 563584 "ENV" 564086 T ENV (NIL) -8 NIL NIL) (-264 562128 562692 562721 "ENTIRER" 562726 T ENTIRER (NIL) -9 NIL 562771) (-263 558584 560083 560453 "EMR" 561927 NIL EMR (NIL T T T NIL NIL NIL) -8 NIL NIL) (-262 557727 557912 557967 "ELTAGG" 558347 NIL ELTAGG (NIL T T) -9 NIL 558558) (-261 557446 557508 557649 "ELTAGG-" 557654 NIL ELTAGG- (NIL T T T) -8 NIL NIL) (-260 557234 557263 557318 "ELTAB" 557402 NIL ELTAB (NIL T T) -9 NIL NIL) (-259 556360 556506 556705 "ELFUTS" 557085 NIL ELFUTS (NIL T T) -7 NIL NIL) (-258 556101 556157 556186 "ELEMFUN" 556291 T ELEMFUN (NIL) -9 NIL NIL) (-257 555971 555992 556060 "ELEMFUN-" 556065 NIL ELEMFUN- (NIL T) -8 NIL NIL) (-256 550862 554071 554113 "ELAGG" 555053 NIL ELAGG (NIL T) -9 NIL 555516) (-255 549147 549581 550244 "ELAGG-" 550249 NIL ELAGG- (NIL T T) -8 NIL NIL) (-254 542015 543814 544641 "EFUPXS" 548423 NIL EFUPXS (NIL T T T T) -8 NIL NIL) (-253 535465 537266 538076 "EFULS" 541291 NIL EFULS (NIL T T T) -8 NIL NIL) (-252 532896 533254 533732 "EFSTRUC" 535097 NIL EFSTRUC (NIL T T) -7 NIL NIL) (-251 521968 523533 525093 "EF" 531411 NIL EF (NIL T T) -7 NIL NIL) (-250 521069 521453 521602 "EAB" 521839 T EAB (NIL) -8 NIL NIL) (-249 520282 521028 521056 "E04UCFA" 521061 T E04UCFA (NIL) -8 NIL NIL) (-248 519495 520241 520269 "E04NAFA" 520274 T E04NAFA (NIL) -8 NIL NIL) (-247 518708 519454 519482 "E04MBFA" 519487 T E04MBFA (NIL) -8 NIL NIL) (-246 517921 518667 518695 "E04JAFA" 518700 T E04JAFA (NIL) -8 NIL NIL) (-245 517136 517880 517908 "E04GCFA" 517913 T E04GCFA (NIL) -8 NIL NIL) (-244 516351 517095 517123 "E04FDFA" 517128 T E04FDFA (NIL) -8 NIL NIL) (-243 515564 516310 516338 "E04DGFA" 516343 T E04DGFA (NIL) -8 NIL NIL) (-242 509749 511094 512456 "E04AGNT" 514222 T E04AGNT (NIL) -7 NIL NIL) (-241 508475 508955 508996 "DVARCAT" 509471 NIL DVARCAT (NIL T) -9 NIL 509669) (-240 507679 507891 508205 "DVARCAT-" 508210 NIL DVARCAT- (NIL T T) -8 NIL NIL) (-239 500541 507481 507608 "DSMP" 507613 NIL DSMP (NIL T T T) -8 NIL NIL) (-238 495351 496486 497554 "DROPT" 499493 T DROPT (NIL) -8 NIL NIL) (-237 495016 495075 495173 "DROPT1" 495286 NIL DROPT1 (NIL T) -7 NIL NIL) (-236 490131 491257 492394 "DROPT0" 493899 T DROPT0 (NIL) -7 NIL NIL) (-235 488476 488801 489187 "DRAWPT" 489765 T DRAWPT (NIL) -7 NIL NIL) (-234 483063 483986 485065 "DRAW" 487450 NIL DRAW (NIL T) -7 NIL NIL) (-233 482696 482749 482867 "DRAWHACK" 483004 NIL DRAWHACK (NIL T) -7 NIL NIL) (-232 481427 481696 481987 "DRAWCX" 482425 T DRAWCX (NIL) -7 NIL NIL) (-231 480945 481013 481163 "DRAWCURV" 481353 NIL DRAWCURV (NIL T T) -7 NIL NIL) (-230 471417 473375 475490 "DRAWCFUN" 478850 T DRAWCFUN (NIL) -7 NIL NIL) (-229 468230 470112 470154 "DQAGG" 470783 NIL DQAGG (NIL T) -9 NIL 471056) (-228 456736 463474 463557 "DPOLCAT" 465395 NIL DPOLCAT (NIL T T T T) -9 NIL 465939) (-227 451576 452922 454879 "DPOLCAT-" 454884 NIL DPOLCAT- (NIL T T T T T) -8 NIL NIL) (-226 445660 451438 451535 "DPMO" 451540 NIL DPMO (NIL NIL T T) -8 NIL NIL) (-225 439647 445441 445607 "DPMM" 445612 NIL DPMM (NIL NIL T T T) -8 NIL NIL) (-224 439280 439356 439454 "DOMAIN" 439569 T DOMAIN (NIL) -8 NIL NIL) (-223 432992 438917 439068 "DMP" 439181 NIL DMP (NIL NIL T) -8 NIL NIL) (-222 432592 432648 432792 "DLP" 432930 NIL DLP (NIL T) -7 NIL NIL) (-221 426236 431693 431920 "DLIST" 432397 NIL DLIST (NIL T) -8 NIL NIL) (-220 423082 425091 425133 "DLAGG" 425683 NIL DLAGG (NIL T) -9 NIL 425912) (-219 421791 422483 422512 "DIVRING" 422662 T DIVRING (NIL) -9 NIL 422770) (-218 420779 421032 421425 "DIVRING-" 421430 NIL DIVRING- (NIL T) -8 NIL NIL) (-217 418881 419238 419644 "DISPLAY" 420393 T DISPLAY (NIL) -7 NIL NIL) (-216 412770 418795 418858 "DIRPROD" 418863 NIL DIRPROD (NIL NIL T) -8 NIL NIL) (-215 411618 411821 412086 "DIRPROD2" 412563 NIL DIRPROD2 (NIL NIL T T) -7 NIL NIL) (-214 401248 407253 407307 "DIRPCAT" 407715 NIL DIRPCAT (NIL NIL T) -9 NIL 408542) (-213 398574 399216 400097 "DIRPCAT-" 400434 NIL DIRPCAT- (NIL T NIL T) -8 NIL NIL) (-212 397861 398021 398207 "DIOSP" 398408 T DIOSP (NIL) -7 NIL NIL) (-211 394563 396773 396815 "DIOPS" 397249 NIL DIOPS (NIL T) -9 NIL 397478) (-210 394112 394226 394417 "DIOPS-" 394422 NIL DIOPS- (NIL T T) -8 NIL NIL) (-209 392983 393621 393650 "DIFRING" 393837 T DIFRING (NIL) -9 NIL 393946) (-208 392629 392706 392858 "DIFRING-" 392863 NIL DIFRING- (NIL T) -8 NIL NIL) (-207 390418 391700 391741 "DIFEXT" 392100 NIL DIFEXT (NIL T) -9 NIL 392393) (-206 388704 389132 389797 "DIFEXT-" 389802 NIL DIFEXT- (NIL T T) -8 NIL NIL) (-205 386026 388236 388278 "DIAGG" 388283 NIL DIAGG (NIL T) -9 NIL 388303) (-204 385410 385567 385819 "DIAGG-" 385824 NIL DIAGG- (NIL T T) -8 NIL NIL) (-203 380875 384369 384646 "DHMATRIX" 385179 NIL DHMATRIX (NIL T) -8 NIL NIL) (-202 376487 377396 378406 "DFSFUN" 379885 T DFSFUN (NIL) -7 NIL NIL) (-201 371273 375201 375566 "DFLOAT" 376142 T DFLOAT (NIL) -8 NIL NIL) (-200 369506 369787 370182 "DFINTTLS" 370981 NIL DFINTTLS (NIL T T) -7 NIL NIL) (-199 366539 367541 367939 "DERHAM" 369173 NIL DERHAM (NIL T NIL) -8 NIL NIL) (-198 364388 366314 366403 "DEQUEUE" 366483 NIL DEQUEUE (NIL T) -8 NIL NIL) (-197 363606 363739 363934 "DEGRED" 364250 NIL DEGRED (NIL T T) -7 NIL NIL) (-196 360006 360751 361603 "DEFINTRF" 362834 NIL DEFINTRF (NIL T) -7 NIL NIL) (-195 357537 358006 358604 "DEFINTEF" 359525 NIL DEFINTEF (NIL T T) -7 NIL NIL) (-194 351368 356978 357144 "DECIMAL" 357391 T DECIMAL (NIL) -8 NIL NIL) (-193 348880 349338 349844 "DDFACT" 350912 NIL DDFACT (NIL T T) -7 NIL NIL) (-192 348476 348519 348670 "DBLRESP" 348831 NIL DBLRESP (NIL T T T T) -7 NIL NIL) (-191 346186 346520 346889 "DBASE" 348234 NIL DBASE (NIL T) -8 NIL NIL) (-190 345321 346145 346173 "D03FAFA" 346178 T D03FAFA (NIL) -8 NIL NIL) (-189 344457 345280 345308 "D03EEFA" 345313 T D03EEFA (NIL) -8 NIL NIL) (-188 342407 342873 343362 "D03AGNT" 343988 T D03AGNT (NIL) -7 NIL NIL) (-187 341725 342366 342394 "D02EJFA" 342399 T D02EJFA (NIL) -8 NIL NIL) (-186 341043 341684 341712 "D02CJFA" 341717 T D02CJFA (NIL) -8 NIL NIL) (-185 340361 341002 341030 "D02BHFA" 341035 T D02BHFA (NIL) -8 NIL NIL) (-184 339679 340320 340348 "D02BBFA" 340353 T D02BBFA (NIL) -8 NIL NIL) (-183 332877 334465 336071 "D02AGNT" 338093 T D02AGNT (NIL) -7 NIL NIL) (-182 330646 331168 331714 "D01WGTS" 332351 T D01WGTS (NIL) -7 NIL NIL) (-181 329749 330605 330633 "D01TRNS" 330638 T D01TRNS (NIL) -8 NIL NIL) (-180 328852 329708 329736 "D01GBFA" 329741 T D01GBFA (NIL) -8 NIL NIL) (-179 327955 328811 328839 "D01FCFA" 328844 T D01FCFA (NIL) -8 NIL NIL) (-178 327058 327914 327942 "D01ASFA" 327947 T D01ASFA (NIL) -8 NIL NIL) (-177 326161 327017 327045 "D01AQFA" 327050 T D01AQFA (NIL) -8 NIL NIL) (-176 325264 326120 326148 "D01APFA" 326153 T D01APFA (NIL) -8 NIL NIL) (-175 324367 325223 325251 "D01ANFA" 325256 T D01ANFA (NIL) -8 NIL NIL) (-174 323470 324326 324354 "D01AMFA" 324359 T D01AMFA (NIL) -8 NIL NIL) (-173 322573 323429 323457 "D01ALFA" 323462 T D01ALFA (NIL) -8 NIL NIL) (-172 321676 322532 322560 "D01AKFA" 322565 T D01AKFA (NIL) -8 NIL NIL) (-171 320779 321635 321663 "D01AJFA" 321668 T D01AJFA (NIL) -8 NIL NIL) (-170 314083 315632 317191 "D01AGNT" 319240 T D01AGNT (NIL) -7 NIL NIL) (-169 313420 313548 313700 "CYCLOTOM" 313951 T CYCLOTOM (NIL) -7 NIL NIL) (-168 310155 310868 311595 "CYCLES" 312713 T CYCLES (NIL) -7 NIL NIL) (-167 309467 309601 309772 "CVMP" 310016 NIL CVMP (NIL T) -7 NIL NIL) (-166 307249 307506 307881 "CTRIGMNP" 309195 NIL CTRIGMNP (NIL T T) -7 NIL NIL) (-165 306623 306722 306875 "CSTTOOLS" 307146 NIL CSTTOOLS (NIL T T) -7 NIL NIL) (-164 302422 303079 303837 "CRFP" 305935 NIL CRFP (NIL T T) -7 NIL NIL) (-163 301469 301654 301882 "CRAPACK" 302226 NIL CRAPACK (NIL T) -7 NIL NIL) (-162 300853 300954 301158 "CPMATCH" 301345 NIL CPMATCH (NIL T T T) -7 NIL NIL) (-161 300578 300606 300712 "CPIMA" 300819 NIL CPIMA (NIL T T T) -7 NIL NIL) (-160 296942 297614 298332 "COORDSYS" 299913 NIL COORDSYS (NIL T) -7 NIL NIL) (-159 296326 296455 296605 "CONTOUR" 296812 T CONTOUR (NIL) -8 NIL NIL) (-158 292187 294329 294821 "CONTFRAC" 295866 NIL CONTFRAC (NIL T) -8 NIL NIL) (-157 291340 291904 291933 "COMRING" 291938 T COMRING (NIL) -9 NIL 291989) (-156 290421 290698 290882 "COMPPROP" 291176 T COMPPROP (NIL) -8 NIL NIL) (-155 290082 290117 290245 "COMPLPAT" 290380 NIL COMPLPAT (NIL T T T) -7 NIL NIL) (-154 280063 289891 290000 "COMPLEX" 290005 NIL COMPLEX (NIL T) -8 NIL NIL) (-153 279699 279756 279863 "COMPLEX2" 280000 NIL COMPLEX2 (NIL T T) -7 NIL NIL) (-152 279417 279452 279550 "COMPFACT" 279658 NIL COMPFACT (NIL T T) -7 NIL NIL) (-151 263751 274045 274086 "COMPCAT" 275088 NIL COMPCAT (NIL T) -9 NIL 276481) (-150 253266 256190 259817 "COMPCAT-" 260173 NIL COMPCAT- (NIL T T) -8 NIL NIL) (-149 252997 253025 253127 "COMMUPC" 253232 NIL COMMUPC (NIL T T T) -7 NIL NIL) (-148 252792 252825 252884 "COMMONOP" 252958 T COMMONOP (NIL) -7 NIL NIL) (-147 252375 252543 252630 "COMM" 252725 T COMM (NIL) -8 NIL NIL) (-146 251623 251817 251846 "COMBOPC" 252184 T COMBOPC (NIL) -9 NIL 252359) (-145 250519 250729 250971 "COMBINAT" 251413 NIL COMBINAT (NIL T) -7 NIL NIL) (-144 246717 247290 247930 "COMBF" 249941 NIL COMBF (NIL T T) -7 NIL NIL) (-143 245503 245833 246068 "COLOR" 246502 T COLOR (NIL) -8 NIL NIL) (-142 245143 245190 245315 "CMPLXRT" 245450 NIL CMPLXRT (NIL T T) -7 NIL NIL) (-141 240645 241673 242753 "CLIP" 244083 T CLIP (NIL) -7 NIL NIL) (-140 238983 239753 239991 "CLIF" 240473 NIL CLIF (NIL NIL T NIL) -8 NIL NIL) (-139 235205 237129 237171 "CLAGG" 238100 NIL CLAGG (NIL T) -9 NIL 238636) (-138 233627 234084 234667 "CLAGG-" 234672 NIL CLAGG- (NIL T T) -8 NIL NIL) (-137 233171 233256 233396 "CINTSLPE" 233536 NIL CINTSLPE (NIL T T) -7 NIL NIL) (-136 230672 231143 231691 "CHVAR" 232699 NIL CHVAR (NIL T T T) -7 NIL NIL) (-135 229894 230458 230487 "CHARZ" 230492 T CHARZ (NIL) -9 NIL 230506) (-134 229648 229688 229766 "CHARPOL" 229848 NIL CHARPOL (NIL T) -7 NIL NIL) (-133 228754 229351 229380 "CHARNZ" 229427 T CHARNZ (NIL) -9 NIL 229482) (-132 226777 227444 227779 "CHAR" 228439 T CHAR (NIL) -8 NIL NIL) (-131 226502 226563 226592 "CFCAT" 226703 T CFCAT (NIL) -9 NIL NIL) (-130 225747 225858 226040 "CDEN" 226386 NIL CDEN (NIL T T T) -7 NIL NIL) (-129 221739 224900 225180 "CCLASS" 225487 T CCLASS (NIL) -8 NIL NIL) (-128 216792 217768 218521 "CARTEN" 221042 NIL CARTEN (NIL NIL NIL T) -8 NIL NIL) (-127 215900 216048 216269 "CARTEN2" 216639 NIL CARTEN2 (NIL NIL NIL T T) -7 NIL NIL) (-126 214197 215052 215308 "CARD" 215664 T CARD (NIL) -8 NIL NIL) (-125 213569 213897 213926 "CACHSET" 214058 T CACHSET (NIL) -9 NIL 214135) (-124 213065 213361 213390 "CABMON" 213440 T CABMON (NIL) -9 NIL 213496) (-123 210622 212757 212864 "BTREE" 212991 NIL BTREE (NIL T) -8 NIL NIL) (-122 208120 210270 210392 "BTOURN" 210532 NIL BTOURN (NIL T) -8 NIL NIL) (-121 205538 207591 207633 "BTCAT" 207701 NIL BTCAT (NIL T) -9 NIL 207778) (-120 205205 205285 205434 "BTCAT-" 205439 NIL BTCAT- (NIL T T) -8 NIL NIL) (-119 200425 204296 204325 "BTAGG" 204581 T BTAGG (NIL) -9 NIL 204760) (-118 199848 199992 200222 "BTAGG-" 200227 NIL BTAGG- (NIL T) -8 NIL NIL) (-117 196892 199126 199341 "BSTREE" 199665 NIL BSTREE (NIL T) -8 NIL NIL) (-116 196030 196156 196340 "BRILL" 196748 NIL BRILL (NIL T) -7 NIL NIL) (-115 192731 194758 194800 "BRAGG" 195449 NIL BRAGG (NIL T) -9 NIL 195706) (-114 191260 191666 192221 "BRAGG-" 192226 NIL BRAGG- (NIL T T) -8 NIL NIL) (-113 184468 190606 190790 "BPADICRT" 191108 NIL BPADICRT (NIL NIL) -8 NIL NIL) (-112 182772 184405 184450 "BPADIC" 184455 NIL BPADIC (NIL NIL) -8 NIL NIL) (-111 182472 182502 182615 "BOUNDZRO" 182736 NIL BOUNDZRO (NIL T T) -7 NIL NIL) (-110 177987 179078 179945 "BOP" 181625 T BOP (NIL) -8 NIL NIL) (-109 175608 176052 176572 "BOP1" 177500 NIL BOP1 (NIL T) -7 NIL NIL) (-108 174227 174938 175161 "BOOLEAN" 175405 T BOOLEAN (NIL) -8 NIL NIL) (-107 173593 173971 174024 "BMODULE" 174029 NIL BMODULE (NIL T T) -9 NIL 174093) (-106 169403 173391 173464 "BITS" 173540 T BITS (NIL) -8 NIL NIL) (-105 168500 168935 169087 "BINFILE" 169271 T BINFILE (NIL) -8 NIL NIL) (-104 167912 168034 168176 "BINDING" 168378 T BINDING (NIL) -8 NIL NIL) (-103 161747 167356 167521 "BINARY" 167767 T BINARY (NIL) -8 NIL NIL) (-102 159574 161002 161044 "BGAGG" 161304 NIL BGAGG (NIL T) -9 NIL 161441) (-101 159405 159437 159528 "BGAGG-" 159533 NIL BGAGG- (NIL T T) -8 NIL NIL) (-100 158503 158789 158994 "BFUNCT" 159220 T BFUNCT (NIL) -8 NIL NIL) (-99 157204 157382 157667 "BEZOUT" 158327 NIL BEZOUT (NIL T T T T T) -7 NIL NIL) (-98 153729 156064 156392 "BBTREE" 156907 NIL BBTREE (NIL T) -8 NIL NIL) (-97 153466 153519 153546 "BASTYPE" 153663 T BASTYPE (NIL) -9 NIL NIL) (-96 153321 153350 153420 "BASTYPE-" 153425 NIL BASTYPE- (NIL T) -8 NIL NIL) (-95 152759 152835 152985 "BALFACT" 153232 NIL BALFACT (NIL T T) -7 NIL NIL) (-94 151581 152178 152363 "AUTOMOR" 152604 NIL AUTOMOR (NIL T) -8 NIL NIL) (-93 151306 151311 151338 "ATTREG" 151343 T ATTREG (NIL) -9 NIL NIL) (-92 149585 150003 150355 "ATTRBUT" 150972 T ATTRBUT (NIL) -8 NIL NIL) (-91 149120 149233 149260 "ATRIG" 149461 T ATRIG (NIL) -9 NIL NIL) (-90 148929 148970 149057 "ATRIG-" 149062 NIL ATRIG- (NIL T) -8 NIL NIL) (-89 147126 148705 148793 "ASTACK" 148872 NIL ASTACK (NIL T) -8 NIL NIL) (-88 145631 145928 146293 "ASSOCEQ" 146808 NIL ASSOCEQ (NIL T T) -7 NIL NIL) (-87 144663 145290 145414 "ASP9" 145538 NIL ASP9 (NIL NIL) -8 NIL NIL) (-86 144427 144611 144650 "ASP8" 144655 NIL ASP8 (NIL NIL) -8 NIL NIL) (-85 143297 144032 144174 "ASP80" 144316 NIL ASP80 (NIL NIL) -8 NIL NIL) (-84 142196 142932 143064 "ASP7" 143196 NIL ASP7 (NIL NIL) -8 NIL NIL) (-83 141152 141873 141991 "ASP78" 142109 NIL ASP78 (NIL NIL) -8 NIL NIL) (-82 140123 140832 140949 "ASP77" 141066 NIL ASP77 (NIL NIL) -8 NIL NIL) (-81 139038 139761 139892 "ASP74" 140023 NIL ASP74 (NIL NIL) -8 NIL NIL) (-80 137939 138673 138805 "ASP73" 138937 NIL ASP73 (NIL NIL) -8 NIL NIL) (-79 136894 137616 137734 "ASP6" 137852 NIL ASP6 (NIL NIL) -8 NIL NIL) (-78 135843 136571 136689 "ASP55" 136807 NIL ASP55 (NIL NIL) -8 NIL NIL) (-77 134793 135517 135636 "ASP50" 135755 NIL ASP50 (NIL NIL) -8 NIL NIL) (-76 133881 134494 134604 "ASP4" 134714 NIL ASP4 (NIL NIL) -8 NIL NIL) (-75 132969 133582 133692 "ASP49" 133802 NIL ASP49 (NIL NIL) -8 NIL NIL) (-74 131754 132508 132676 "ASP42" 132858 NIL ASP42 (NIL NIL NIL NIL) -8 NIL NIL) (-73 130532 131287 131457 "ASP41" 131641 NIL ASP41 (NIL NIL NIL NIL) -8 NIL NIL) (-72 129484 130209 130327 "ASP35" 130445 NIL ASP35 (NIL NIL) -8 NIL NIL) (-71 129249 129432 129471 "ASP34" 129476 NIL ASP34 (NIL NIL) -8 NIL NIL) (-70 128986 129053 129129 "ASP33" 129204 NIL ASP33 (NIL NIL) -8 NIL NIL) (-69 127882 128621 128753 "ASP31" 128885 NIL ASP31 (NIL NIL) -8 NIL NIL) (-68 127647 127830 127869 "ASP30" 127874 NIL ASP30 (NIL NIL) -8 NIL NIL) (-67 127382 127451 127527 "ASP29" 127602 NIL ASP29 (NIL NIL) -8 NIL NIL) (-66 127147 127330 127369 "ASP28" 127374 NIL ASP28 (NIL NIL) -8 NIL NIL) (-65 126912 127095 127134 "ASP27" 127139 NIL ASP27 (NIL NIL) -8 NIL NIL) (-64 125996 126610 126721 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ANY (NIL) -8 NIL NIL) (-50 102740 102863 103020 "ANY1" 103336 NIL ANY1 (NIL T) -7 NIL NIL) (-49 100272 101190 101515 "ANTISYM" 102465 NIL ANTISYM (NIL T NIL) -8 NIL NIL) (-48 100099 100231 100258 "ANON" 100263 T ANON (NIL) -8 NIL NIL) (-47 94176 98644 99095 "AN" 99666 T AN (NIL) -8 NIL NIL) (-46 90529 91927 91978 "AMR" 92717 NIL AMR (NIL T T) -9 NIL 93316) (-45 89642 89863 90225 "AMR-" 90230 NIL AMR- (NIL T T T) -8 NIL NIL) (-44 74192 89559 89620 "ALIST" 89625 NIL ALIST (NIL T T) -8 NIL NIL) (-43 71029 73786 73955 "ALGSC" 74110 NIL ALGSC (NIL T NIL NIL NIL) -8 NIL NIL) (-42 67585 68139 68746 "ALGPKG" 70469 NIL ALGPKG (NIL T T) -7 NIL NIL) (-41 66862 66963 67147 "ALGMFACT" 67471 NIL ALGMFACT (NIL T T T) -7 NIL NIL) (-40 62612 63292 63946 "ALGMANIP" 66386 NIL ALGMANIP (NIL T T) -7 NIL NIL) (-39 53931 62238 62388 "ALGFF" 62545 NIL ALGFF (NIL T T T NIL) -8 NIL NIL) (-38 53127 53258 53437 "ALGFACT" 53789 NIL ALGFACT (NIL T) -7 NIL NIL) (-37 52117 52727 52766 "ALGEBRA" 52826 NIL ALGEBRA (NIL 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(NIL T) -8 NIL NIL) (-21 9233 9579 9606 "ABELGRP" 9731 T ABELGRP (NIL) -9 NIL 9813) (-20 8696 8825 9041 "ABELGRP-" 9046 NIL ABELGRP- (NIL T) -8 NIL NIL) (-19 4333 8035 8075 "A1AGG" 8080 NIL A1AGG (NIL T) -9 NIL 8120) (-18 30 1251 2813 "A1AGG-" 2818 NIL A1AGG- (NIL T T) -8 NIL NIL))
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(-1012)) (-4 *7 (-1012)) (-5 *2 (-108))))) + (-12 (-5 *2 (-380 (-520))) (-5 *1 (-292 *3 *4 *5)) + (-4 *3 (-13 (-336) (-783))) (-14 *4 (-1083)) (-14 *5 *3)))) +(((*1 *2 *3) + (-12 (-4 *3 (-1140 *2)) (-4 *2 (-1140 *4)) (-5 *1 (-910 *4 *2 *3 *5)) + (-4 *4 (-322)) (-4 *5 (-660 *2 *3))))) +(((*1 *1 *1 *1) (-5 *1 (-791)))) (((*1 *2 *3) (-12 (-5 *3 @@ -553,7 +680,7 @@ (-5 *1 (-878 *4 *5 *6 *7 *3)) (-4 *3 (-13 (-336) - (-10 -8 (-15 -2222 ($ *7)) (-15 -2806 (*7 $)) (-15 -2817 (*7 $))))))) + (-10 -8 (-15 -2188 ($ *7)) (-15 -2800 (*7 $)) (-15 -2811 (*7 $))))))) ((*1 *2 *1) (-12 (-5 *2 (-1014 (-1083))) (-5 *1 (-892 *3)) (-4 *3 (-893)))) ((*1 *2 *1) @@ -565,108 +692,55 @@ ((*1 *2 *3) (-12 (-5 *3 (-380 (-880 *4))) (-4 *4 (-512)) (-5 *2 (-586 (-1083))) (-5 *1 (-965 *4))))) -(((*1 *2 *2 *3 *4) - (|partial| -12 - (-5 *3 - (-1 (-3 (-2 (|:| -4127 *4) (|:| |coeff| *4)) "failed") *4)) - (-4 *4 (-336)) (-5 *1 (-530 *4 *2)) (-4 *2 (-1140 *4))))) -(((*1 *2 *3 *4 *5 *3) - (-12 (-5 *4 (-1 *7 *7)) - (-5 *5 - (-1 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(-4 *4 (-561 (-820 *5))))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-1012)) (-5 *2 (-586 (-268 (-880 *3)))) + (-5 *1 (-815 *5 *3 *4)) (-4 *3 (-969)) + (-2399 (-4 *3 (-960 (-1083)))) (-4 *3 (-814 *5)) + (-4 *4 (-561 (-820 *5))))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-1012)) (-5 *2 (-817 *5 *3)) (-5 *1 (-815 *5 *3 *4)) + (-2399 (-4 *3 (-960 (-1083)))) (-2399 (-4 *3 (-969))) + (-4 *3 (-814 *5)) (-4 *4 (-561 (-820 *5)))))) +(((*1 *2 *3 *3 *4 *4 *4 *3) + (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *2 (-958)) + (-5 *1 (-687))))) (((*1 *2 *3 *4) (-12 (-5 *4 (-559 *6)) (-4 *6 (-13 (-403 *5) (-27) (-1104))) (-4 *5 (-13 (-424) (-960 (-520)) (-783) (-135) (-582 (-520)))) @@ -1837,41 +1900,46 @@ ((*1 *2 *1) (-12 (-4 *2 (-877 *3 *4 *5)) (-5 *1 (-957 *3 *4 *5 *2 *6)) (-4 *3 (-336)) (-4 *4 (-728)) (-4 *5 (-783)) (-14 *6 (-586 *2))))) -(((*1 *2 *2) - (|partial| -12 (-5 *2 (-586 (-880 *3))) (-4 *3 (-424)) - (-5 *1 (-333 *3 *4)) (-14 *4 (-586 (-1083))))) - ((*1 *2 *2) - (|partial| -12 (-5 *2 (-586 (-715 *3 (-793 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*2 *3) - (-12 (-5 *2 (-1 (-871 *3) (-871 *3))) (-5 *1 (-160 *3)) - (-4 *3 (-13 (-336) (-1104) (-926)))))) -(((*1 *2) (-12 (-5 *2 (-1169)) (-5 *1 (-1120))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-201)) (-5 *4 (-520)) (-5 *2 (-958)) (-5 *1 (-694))))) -(((*1 *2 *2 *3 *4) - (-12 (-5 *2 (-1164 *5)) (-5 *3 (-706)) (-5 *4 (-1030)) (-4 *5 (-322)) - (-5 *1 (-490 *5))))) -(((*1 *1) (-5 *1 (-143)))) + (-12 (-4 *4 (-322)) (-4 *5 (-302 *4)) (-4 *6 (-1140 *5)) + (-5 *2 (-586 *3)) (-5 *1 (-712 *4 *5 *6 *3 *7)) (-4 *3 (-1140 *6)) + (-14 *7 (-849))))) +(((*1 *1 *1 *2 *3) + (-12 (-5 *2 (-520)) (-4 *1 (-55 *4 *5 *3)) (-4 *4 (-1118)) + (-4 *5 (-346 *4)) (-4 *3 (-346 *4))))) +(((*1 *1 *1 *2) (-12 (-4 *1 (-936)) (-5 *2 (-791))))) +(((*1 *2) + (-12 (-4 *3 (-512)) (-5 *2 (-586 (-626 *3))) (-5 *1 (-42 *3 *4)) + (-4 *4 (-390 *3))))) (((*1 *1 *2 *1) (-12 (-4 *1 (-21)) (-5 *2 (-520)))) ((*1 *1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-706)))) ((*1 *1 *2 *1) (-12 (-4 *1 (-25)) (-5 *2 (-849)))) @@ -1903,10 +1971,10 @@ ((*1 *1 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(-969)) + (-5 *2 (-586 (-586 (-586 (-871 *3)))))))) +(((*1 *2 *1) + (-12 (-5 *2 (-801 (-892 *3) (-892 *3))) (-5 *1 (-892 *3)) + (-4 *3 (-893))))) +(((*1 *2 *3) + (-12 (-4 *4 (-13 (-512) (-783))) (-5 *2 (-154 *5)) + (-5 *1 (-549 *4 *5 *3)) (-4 *5 (-13 (-403 *4) (-926) (-1104))) + (-4 *3 (-13 (-403 (-154 *4)) (-926) (-1104)))))) (((*1 *1 *1) (-4 *1 (-219))) ((*1 *1 *1) (-12 (-4 *2 (-157)) (-5 *1 (-263 *2 *3 *4 *5 *6 *7)) @@ -5426,81 +5775,97 @@ (-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 *1) (-12 (-4 *1 (-733 *2)) (-4 *2 (-157)) (-4 *2 (-336))))) -(((*1 *1 *1 *1 *2) - (-12 (-4 *1 (-877 *3 *4 *2)) (-4 *3 (-969)) (-4 *4 (-728)) - (-4 *2 (-783)) (-4 *3 (-157)))) - ((*1 *2 *3 *3) - (-12 (-4 *2 (-512)) (-5 *1 (-895 *2 *3)) (-4 *3 (-1140 *2)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-983 *2 *3 *4)) (-4 *2 (-969)) (-4 *3 (-728)) - (-4 *4 (-783)) (-4 *2 (-512)))) - ((*1 *2 *1 *1) (-12 (-4 *1 (-1140 *2)) (-4 *2 (-969)) (-4 *2 (-157))))) 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(-4 *2 (-645 *3)) (-5 *1 (-763 *2 *3)) (-4 *3 (-969))))) -(((*1 *2 *3 *3 *3 *4 *5 *3 *6 *6 *3) - (-12 (-5 *3 (-520)) (-5 *5 (-108)) (-5 *6 (-626 (-201))) - (-5 *4 (-201)) (-5 *2 (-958)) (-5 *1 (-691))))) -(((*1 *2 *3 *2) - (-12 (-5 *2 (-586 *3)) (-4 *3 (-281)) (-5 *1 (-163 *3))))) + (-12 (-5 *2 (-586 (-2 (|:| |integrand| *3) (|:| |intvar| *3)))) + (-5 *1 (-537 *3)) (-4 *3 (-336))))) (((*1 *2 *3 *4) - (-12 (-5 *4 (-586 *3)) (-4 *3 (-877 *5 *6 *7)) (-4 *5 (-424)) - (-4 *6 (-728)) (-4 *7 (-783)) - (-5 *2 (-2 (|:| |poly| *3) (|:| |mult| *5))) - (-5 *1 (-421 *5 *6 *7 *3))))) + (-12 (-5 *4 (-520)) (-4 *2 (-403 *3)) (-5 *1 (-31 *3 *2)) + (-4 *3 (-960 *4)) (-4 *3 (-13 (-783) (-512)))))) +(((*1 *2 *2) + (-12 (-5 *2 (-1064 *3)) (-4 *3 (-969)) (-5 *1 (-1068 *3)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1156 *2 *3 *4)) (-4 *2 (-969)) (-14 *3 (-1083)) + (-14 *4 *2)))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-404 *3 *2)) + (-4 *2 (-403 *3))))) +(((*1 *2 *3 *3) + (-12 (-5 *3 (-586 *7)) (-4 *7 (-983 *4 *5 *6)) (-4 *4 (-424)) + (-4 *5 (-728)) (-4 *6 (-783)) (-5 *2 (-108)) + (-5 *1 (-913 *4 *5 *6 *7 *8)) (-4 *8 (-988 *4 *5 *6 *7)))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-586 *7)) (-4 *7 (-983 *4 *5 *6)) (-4 *4 (-424)) + (-4 *5 (-728)) (-4 *6 (-783)) (-5 *2 (-108)) + (-5 *1 (-1019 *4 *5 *6 *7 *8)) (-4 *8 (-988 *4 *5 *6 *7))))) (((*1 *2 *1) - (-12 (-5 *2 (-108)) (-5 *1 (-1072 *3 *4)) (-14 *3 (-849)) - (-4 *4 (-969))))) + (-12 (-4 *3 (-336)) (-4 *4 (-1140 *3)) (-4 *5 (-1140 (-380 *4))) + (-5 *2 (-1164 *6)) (-5 *1 (-309 *3 *4 *5 *6)) + (-4 *6 (-315 *3 *4 *5))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1137 *5 *4)) (-4 *4 (-756)) (-14 *5 (-1083)) + (-5 *2 (-520)) (-5 *1 (-1026 *4 *5))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-359 *2)) (-4 *2 (-1012)))) + ((*1 *1 *1 *1) (-12 (-5 *1 (-755 *2)) (-4 *2 (-783))))) +(((*1 *2 *3) + (-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| (-1064 (-201))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -1667 + (-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 (-958)) (-5 *1 (-279))))) +(((*1 *2 *2) + (-12 (-5 *2 (-108)) (-5 *1 (-414 *3)) (-4 *3 (-1140 (-520)))))) +(((*1 *1 *2) + (|partial| -12 (-5 *2 (-1177 *3 *4)) (-4 *3 (-783)) (-4 *4 (-157)) + (-5 *1 (-604 *3 *4)))) + ((*1 *2 *1) + (|partial| -12 (-5 *2 (-604 *3 *4)) (-5 *1 (-1182 *3 *4)) + (-4 *3 (-783)) (-4 *4 (-157))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-849)) (-5 *2 (-440)) (-5 *1 (-1165))))) (((*1 *1 *2 *2) (-12 (-5 *2 (-3 (|:| I (-289 (-520))) (|:| -4045 (-289 (-352))) (|:| CF (-289 (-154 (-352)))) (|:| |switch| (-1082)))) (-5 *1 (-1082))))) -(((*1 *2 *1) (-12 (-4 *1 (-613 *3)) (-4 *3 (-1118)) (-5 *2 (-108))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-512) (-783) (-960 (-520)))) (-4 *5 (-403 *4)) - (-5 *2 (-391 *3)) (-5 *1 (-408 *4 *5 *3)) (-4 *3 (-1140 *5))))) +(((*1 *2 *1 *1) + (-12 (-4 *1 (-901 *3 *4 *5 *6)) (-4 *3 (-969)) (-4 *4 (-728)) + (-4 *5 (-783)) (-4 *6 (-983 *3 *4 *5)) (-4 *3 (-512)) + (-5 *2 (-108))))) (((*1 *2 *3) - (-12 (-5 *3 (-1083)) (-5 *2 (-1 (-1079 (-880 *4)) (-880 *4))) - (-5 *1 (-1172 *4)) (-4 *4 (-336))))) + (-12 (-5 *3 (-586 (-586 (-871 (-201))))) + (-5 *2 (-586 (-1007 (-201)))) (-5 *1 (-856))))) (((*1 *1) (-12 (-4 *3 (-1012)) (-5 *1 (-813 *2 *3 *4)) (-4 *2 (-1012)) (-4 *4 (-606 *3)))) ((*1 *1) (-12 (-5 *1 (-817 *2 *3)) (-4 *2 (-1012)) (-4 *3 (-1012))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-586 (-1 (-108) *8))) (-4 *8 (-983 *5 *6 *7)) - (-4 *5 (-512)) (-4 *6 (-728)) (-4 *7 (-783)) - (-5 *2 (-2 (|:| |goodPols| (-586 *8)) (|:| |badPols| (-586 *8)))) - (-5 *1 (-902 *5 *6 *7 *8)) (-5 *4 (-586 *8))))) -(((*1 *1 *2 *3 *4) - (-12 - (-5 *3 - (-586 - (-2 (|:| |scalar| (-380 (-520))) (|:| |coeff| (-1079 *2)) - (|:| |logand| (-1079 *2))))) - (-5 *4 (-586 (-2 (|:| |integrand| *2) (|:| |intvar| *2)))) - (-4 *2 (-336)) (-5 *1 (-537 *2))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1164 *4)) (-4 *4 (-322)) (-5 *2 (-1079 *4)) + (-5 *1 (-490 *4))))) +(((*1 *2 *3) (-12 (-5 *3 (-201)) (-5 *2 (-380 (-520))) (-5 *1 (-279))))) (((*1 *2 *3) (-12 (-5 *3 (-1083)) (-4 *4 (-13 (-424) (-783) (-960 (-520)) (-582 (-520)))) @@ -5538,53 +5903,44 @@ ((*1 *1 *2 *3) (-12 (-5 *2 (-380 (-520))) (-4 *4 (-969)) (-4 *1 (-1147 *4 *3)) (-4 *3 (-1124 *4))))) -(((*1 *2 *3 *4 *5 *5 *5 *5 *4 *6) - (-12 (-5 *4 (-520)) (-5 *6 (-1 (-1169) (-1164 *5) (-1164 *5) (-352))) - (-5 *3 (-1164 (-352))) (-5 *5 (-352)) (-5 *2 (-1169)) - (-5 *1 (-723))))) -(((*1 *2 *3 *3 *3) - (-12 (-5 *2 (-586 (-520))) (-5 *1 (-1022)) (-5 *3 (-520))))) +(((*1 *2 *1 *3) + (|partial| -12 (-5 *3 (-820 *4)) (-4 *4 (-1012)) (-5 *2 (-108)) + (-5 *1 (-817 *4 *5)) (-4 *5 (-1012)))) + ((*1 *2 *3 *4) + (-12 (-5 *4 (-820 *5)) (-4 *5 (-1012)) (-5 *2 (-108)) + (-5 *1 (-818 *5 *3)) (-4 *3 (-1118)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-586 *6)) (-5 *4 (-820 *5)) (-4 *5 (-1012)) + (-4 *6 (-1118)) (-5 *2 (-108)) (-5 *1 (-818 *5 *6))))) +(((*1 *1 *2) (-12 (-5 *2 (-143)) (-5 *1 (-802))))) (((*1 *2 *3) - (-12 (-5 *3 (-268 (-880 (-520)))) - (-5 *2 - (-2 (|:| |varOrder| (-586 (-1083))) - (|:| |inhom| (-3 (-586 (-1164 (-706))) "failed")) - (|:| |hom| (-586 (-1164 (-706)))))) - (-5 *1 (-212))))) + (-12 (-4 *1 (-772)) + (-5 *3 + (-2 (|:| |fn| (-289 (-201))) (|:| -3794 (-586 (-201))) + (|:| |lb| (-586 (-776 (-201)))) (|:| |cf| (-586 (-289 (-201)))) + (|:| |ub| (-586 (-776 (-201)))))) + (-5 *2 (-958)))) + ((*1 *2 *3) + (-12 (-4 *1 (-772)) + (-5 *3 + (-2 (|:| |lfn| (-586 (-289 (-201)))) (|:| -3794 (-586 (-201))))) + (-5 *2 (-958))))) +(((*1 *2) (-12 (-5 *2 (-1083)) (-5 *1 (-1086))))) (((*1 *2 *2) - (-12 (-4 *3 (-13 (-512) (-135))) (-5 *1 (-497 *3 *2)) - (-4 *2 (-1155 *3)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-336) (-341) (-561 (-520)))) (-4 *4 (-1140 *3)) - (-4 *5 (-660 *3 *4)) (-5 *1 (-501 *3 *4 *5 *2)) (-4 *2 (-1155 *5)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-336) (-341) (-561 (-520)))) (-5 *1 (-502 *3 *2)) - (-4 *2 (-1155 *3)))) - ((*1 *2 *2) - (-12 (-5 *2 (-1064 *3)) (-4 *3 (-13 (-512) (-135))) - (-5 *1 (-1060 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-108)) (-5 *1 (-300 *3)) (-4 *3 (-1118)))) - ((*1 *2 *2) - (-12 (-5 *2 (-108)) (-5 *1 (-483 *3 *4)) (-4 *3 (-1118)) - (-14 *4 (-520))))) -(((*1 *2 *1) (-12 (-5 *2 (-586 (-586 (-871 (-201))))) (-5 *1 (-440))))) + (-12 (-5 *2 (-871 *3)) (-4 *3 (-13 (-336) (-1104) (-926))) + (-5 *1 (-160 *3))))) +(((*1 *2) + (-12 (-4 *3 (-512)) (-5 *2 (-586 *4)) (-5 *1 (-42 *3 *4)) + (-4 *4 (-390 *3))))) (((*1 *1 *2 *2 *3) (-12 (-5 *2 (-520)) (-5 *3 (-849)) (-4 *1 (-377)))) ((*1 *1 *2 *2) (-12 (-5 *2 (-520)) (-4 *1 (-377)))) ((*1 *2 *1) (-12 (-4 *1 (-1015 *3 *4 *5 *2 *6)) (-4 *3 (-1012)) (-4 *4 (-1012)) (-4 *5 (-1012)) (-4 *6 (-1012)) (-4 *2 (-1012))))) -(((*1 *2 *3) - (-12 (-5 *3 (-849)) - (-5 *2 - (-3 (-1079 *4) - (-1164 (-586 (-2 (|:| -3435 *4) (|:| -2721 (-1030))))))) - (-5 *1 (-319 *4)) (-4 *4 (-322))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-13 (-424) (-135))) (-5 *2 (-391 *3)) - (-5 *1 (-95 *4 *3)) (-4 *3 (-1140 *4)))) - ((*1 *2 *3 *4) - (-12 (-5 *4 (-586 *3)) (-4 *3 (-1140 *5)) (-4 *5 (-13 (-424) (-135))) - (-5 *2 (-391 *3)) (-5 *1 (-95 *5 *3))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-908 *2)) (-4 *2 (-1104))))) +(((*1 *2 *1) + (-12 (-4 *4 (-1012)) (-5 *2 (-817 *3 *4)) (-5 *1 (-813 *3 *4 *5)) + (-4 *3 (-1012)) (-4 *5 (-606 *4))))) (((*1 *2 *3) (-12 (-5 *3 (-1083)) (-4 *4 (-13 (-424) (-783) (-960 (-520)) (-582 (-520)))) @@ -5621,21 +5977,49 @@ (-4 *3 (-1155 *4)))) ((*1 *2 *1) (-12 (-4 *1 (-1147 *3 *2)) (-4 *3 (-969)) (-4 *2 (-1124 *3))))) -(((*1 *1 *1) - (-12 (-5 *1 (-545 *2)) (-4 *2 (-37 (-380 (-520)))) (-4 *2 (-969))))) -(((*1 *2 *2) (-12 (-5 *2 (-108)) (-5 *1 (-855))))) -(((*1 *2 *1) - (-12 (-5 *2 (-3 (|:| |fst| (-407)) (|:| -1365 "void"))) - (-5 *1 (-410))))) -(((*1 *2 *3 *3 *4) - (-12 (-4 *5 (-424)) (-4 *6 (-728)) (-4 *7 (-783)) - (-4 *3 (-983 *5 *6 *7)) - (-5 *2 (-586 (-2 (|:| |val| (-586 *3)) (|:| -1943 *4)))) - (-5 *1 (-1020 *5 *6 *7 *3 *4)) (-4 *4 (-988 *5 *6 *7 *3))))) -(((*1 *2 *3 *3) - (-12 (-4 *4 (-512)) (-4 *5 (-728)) (-4 *6 (-783)) (-5 *2 (-586 *3)) - (-5 *1 (-902 *4 *5 *6 *3)) (-4 *3 (-983 *4 *5 *6))))) -(((*1 *2 *1 *3) (-12 (-4 *1 (-33)) (-5 *3 (-706)) (-5 *2 (-108))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-586 (-880 (-520)))) (-5 *4 (-586 (-1083))) + (-5 *2 (-586 (-586 (-352)))) (-5 *1 (-946)) (-5 *5 (-352)))) + ((*1 *2 *3) + (-12 (-5 *3 (-966 *4 *5)) (-4 *4 (-13 (-781) (-281) (-135) (-945))) + (-14 *5 (-586 (-1083))) (-5 *2 (-586 (-586 (-947 (-380 *4))))) + (-5 *1 (-1188 *4 *5 *6)) (-14 *6 (-586 (-1083))))) + ((*1 *2 *3 *4 *4 *4) + (-12 (-5 *3 (-586 (-880 *5))) (-5 *4 (-108)) + (-4 *5 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-586 (-947 (-380 *5))))) (-5 *1 (-1188 *5 *6 *7)) + (-14 *6 (-586 (-1083))) (-14 *7 (-586 (-1083))))) + ((*1 *2 *3 *4 *4) + (-12 (-5 *3 (-586 (-880 *5))) (-5 *4 (-108)) + (-4 *5 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-586 (-947 (-380 *5))))) (-5 *1 (-1188 *5 *6 *7)) + (-14 *6 (-586 (-1083))) (-14 *7 (-586 (-1083))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-586 (-880 *5))) (-5 *4 (-108)) + (-4 *5 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-586 (-947 (-380 *5))))) (-5 *1 (-1188 *5 *6 *7)) + (-14 *6 (-586 (-1083))) (-14 *7 (-586 (-1083))))) + ((*1 *2 *3) + (-12 (-5 *3 (-586 (-880 *4))) + (-4 *4 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-586 (-947 (-380 *4))))) (-5 *1 (-1188 *4 *5 *6)) + (-14 *5 (-586 (-1083))) (-14 *6 (-586 (-1083)))))) +(((*1 *1 *1 *2) + (-12 (-5 *2 (-586 *1)) (|has| *1 (-6 -4230)) (-4 *1 (-934 *3)) + (-4 *3 (-1118))))) +(((*1 *2 *2) + (-12 (-5 *2 (-871 *3)) (-4 *3 (-13 (-336) (-1104) (-926))) + (-5 *1 (-160 *3))))) +(((*1 *1 *2) (-12 (-5 *2 (-755 *3)) (-4 *3 (-783)) (-5 *1 (-611 *3))))) +(((*1 *2 *1 *3 *4 *4 *5) + (-12 (-5 *3 (-871 (-201))) (-5 *4 (-802)) (-5 *5 (-849)) + (-5 *2 (-1169)) (-5 *1 (-440)))) + ((*1 *2 *1 *3) + (-12 (-5 *3 (-871 (-201))) (-5 *2 (-1169)) (-5 *1 (-440)))) + ((*1 *2 *1 *3 *4 *4 *5) + (-12 (-5 *3 (-586 (-871 (-201)))) (-5 *4 (-802)) (-5 *5 (-849)) + (-5 *2 (-1169)) (-5 *1 (-440))))) +(((*1 *2 *2) (|partial| -12 (-4 *1 (-908 *2)) (-4 *2 (-1104))))) (((*1 *2 *2 *3) (-12 (-5 *3 (-380 (-520))) (-4 *4 (-960 (-520))) (-4 *4 (-13 (-783) (-512))) (-5 *1 (-31 *4 *2)) (-4 *2 (-403 *4)))) @@ -5707,13 +6091,26 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1155 *2)) (-4 *2 (-969)) (-4 *2 (-336))))) -(((*1 *2 *3) - (-12 (-5 *3 (-880 *5)) (-4 *5 (-969)) (-5 *2 (-223 *4 *5)) - (-5 *1 (-872 *4 *5)) (-14 *4 (-586 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*2 (-51)) (-5 *1 (-431 *7 *3)))) ((*1 *2 *1) (-12 (-4 *1 (-1126 *3 *2)) (-4 *3 (-969)) (-4 *2 (-1155 *3))))) -(((*1 *2 *3) - (|partial| -12 (-5 *3 (-1066)) (-5 *2 (-352)) (-5 *1 (-721))))) -(((*1 *2 *3) - (-12 (-5 *2 (-391 (-1079 *1))) (-5 *1 (-289 *4)) (-5 *3 (-1079 *1)) - (-4 *4 (-424)) (-4 *4 (-512)) (-4 *4 (-783)))) - ((*1 *2 *3) - (-12 (-4 *1 (-837)) (-5 *2 (-391 (-1079 *1))) (-5 *3 (-1079 *1))))) -(((*1 *1 *1) (-4 *1 (-505)))) -(((*1 *2 *2) (|partial| -12 (-4 *1 (-908 *2)) (-4 *2 (-1104))))) -(((*1 *2 *3 *4) - (|partial| -12 (-5 *4 (-849)) (-4 *5 (-512)) (-5 *2 (-626 *5)) - (-5 *1 (-883 *5 *3)) (-4 *3 (-596 *5))))) -(((*1 *1 *1 *2) - (-12 (-5 *2 (-586 (-520))) (-5 *1 (-128 *3 *4 *5)) (-14 *3 (-520)) - (-14 *4 (-706)) (-4 *5 (-157))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1033 *3 *4 *2 *5)) (-4 *4 (-969)) (-4 *5 (-214 *3 *4)) - (-4 *2 (-214 *3 *4))))) +(((*1 *1) + (-12 (-5 *1 (-128 *2 *3 *4)) (-14 *2 (-520)) (-14 *3 (-706)) + (-4 *4 (-157))))) +(((*1 *2 *2 *2) + (-12 (-4 *3 (-37 (-380 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(-1007 (-776 (-201)))) (|:| |abserr| (-201)) (|:| |relerr| (-201)))) (-5 *2 (-2 @@ -5804,7 +6199,7 @@ (-3 (|:| |str| (-1064 (-201))) (|:| |notEvaluated| "Internal singularities not yet evaluated"))) - (|:| -2664 + (|:| -1667 (-3 (|:| |finite| "The range is finite") (|:| |lowerInfinite| "The bottom of range is infinite") (|:| |upperInfinite| "The top of range is infinite") @@ -5812,159 +6207,136 @@ "Both top and bottom points are infinite") (|:| |notEvaluated| "Range not yet evaluated"))))) (-5 *1 (-515))))) -(((*1 *2) - (-12 (-4 *4 (-1122)) (-4 *5 (-1140 *4)) (-4 *6 (-1140 (-380 *5))) - (-5 *2 (-586 (-586 *4))) (-5 *1 (-314 *3 *4 *5 *6)) - (-4 *3 (-315 *4 *5 *6)))) - ((*1 *2) - (-12 (-4 *1 (-315 *3 *4 *5)) (-4 *3 (-1122)) (-4 *4 (-1140 *3)) - (-4 *5 (-1140 (-380 *4))) (-4 *3 (-341)) (-5 *2 (-586 (-586 *3)))))) -(((*1 *1 *2) - (-12 (-5 *2 (-1164 *3)) (-4 *3 (-969)) (-5 *1 (-648 *3 *4)) - (-4 *4 (-1140 *3))))) -(((*1 *2 *3 *2) - (-12 (-5 *3 (-1 (-108) *4 *4)) (-4 *4 (-1118)) (-5 *1 (-348 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(-520)) + (|:| |prim| (-1079 *5)))) + (-5 *1 (-887 *5)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-586 (-880 *5))) (-5 *4 (-586 (-1083))) + (-4 *5 (-13 (-336) (-135))) + (-5 *2 + (-2 (|:| -2972 (-586 (-520))) (|:| |poly| (-586 (-1079 *5))) + (|:| |prim| (-1079 *5)))) + (-5 *1 (-887 *5)))) + ((*1 *2 *3 *4 *5) + (-12 (-5 *3 (-586 (-880 *6))) (-5 *4 (-586 (-1083))) (-5 *5 (-1083)) + (-4 *6 (-13 (-336) (-135))) + (-5 *2 + (-2 (|:| -2972 (-586 (-520))) (|:| |poly| (-586 (-1079 *6))) + (|:| |prim| (-1079 *6)))) + (-5 *1 (-887 *6))))) (((*1 *2 *1) (-12 (-5 *2 (-586 (-2 (|:| |var| (-1083)) (|:| |fn| (-289 (-201))) - (|:| -2664 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) + (|:| -1667 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) (|:| |relerr| (-201))))) (-5 *1 (-515)))) ((*1 *2 *1) @@ -6157,32 +6573,30 @@ (|:| |intvals| (-586 (-201))) (|:| |g| (-289 (-201))) (|:| |abserr| (-201)) (|:| |relerr| (-201))))) (-5 *1 (-739))))) -(((*1 *2) (-12 (-5 *2 (-1169)) (-5 *1 (-417 *3)) (-4 *3 (-969))))) -(((*1 *2 *2) 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(-5 *3 (-201)) (-5 *4 (-520)) (-5 *2 (-958)) (-5 *1 (-694))))) +(((*1 *2 *3) (-12 + (-5 *3 + (-2 (|:| |var| (-1083)) (|:| |fn| (-289 (-201))) + (|:| -1667 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) + (|:| |relerr| (-201)))) (-5 *2 - (-2 (|:| |mval| (-626 *3)) (|:| |invmval| (-626 *3)) - (|:| |genIdeal| (-472 *3 *4 *5 *6)))) - (-4 *3 (-336)) (-4 *4 (-728)) (-4 *5 (-783)) - (-5 *1 (-472 *3 *4 *5 *6)) (-4 *6 (-877 *3 *4 *5))))) + (-3 (|:| |continuous| "Continuous at the end points") + (|:| |lowerSingular| + "There is a singularity at the lower end point") + (|:| |upperSingular| + "There is a singularity at the upper end point") + (|:| |bothSingular| "There are singularities at both end points") + (|:| |notEvaluated| "End point continuity not yet evaluated"))) + (-5 *1 (-170))))) +(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-407))))) +(((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |xinit| (-201)) (|:| |xend| (-201)) + (|:| |fn| (-1164 (-289 (-201)))) (|:| |yinit| (-586 (-201))) + (|:| |intvals| (-586 (-201))) (|:| |g| (-289 (-201))) + (|:| |abserr| (-201)) (|:| |relerr| (-201)))) + (-5 *2 (-352)) (-5 *1 (-183))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) (-4 *2 (-13 (-403 *3) (-926))))) @@ -6361,38 +6819,31 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *2 *2) (-12 (-5 *1 (-888 *2)) (-4 *2 (-505))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1083)) (-5 *4 (-880 (-520))) (-5 *2 (-303)) - (-5 *1 (-305))))) +(((*1 *2 *1 *1) + (-12 (-5 *2 (-380 (-880 *3))) (-5 *1 (-425 *3 *4 *5 *6)) + (-4 *3 (-512)) (-4 *3 (-157)) (-14 *4 (-849)) + (-14 *5 (-586 (-1083))) (-14 *6 (-1164 (-626 *3)))))) (((*1 *2 *3) - (-12 (-4 *4 (-728)) - (-4 *5 (-13 (-783) (-10 -8 (-15 -1437 ((-1083) $))))) (-4 *6 (-512)) - (-5 *2 (-2 (|:| -2644 (-880 *6)) (|:| -3622 (-880 *6)))) - (-5 *1 (-668 *4 *5 *6 *3)) (-4 *3 (-877 (-380 (-880 *6)) *4 *5))))) -(((*1 *2 *2 *3) - (|partial| -12 - (-5 *3 (-586 (-2 (|:| |func| *2) (|:| |pole| (-108))))) - (-4 *2 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*3 *4 *5 *6)) (-4 *6 (-877 *3 *4 *5))))) -(((*1 *2 *1) (-12 (-4 *1 (-322)) (-5 *2 (-706)))) - ((*1 *2 *1 *1) (|partial| -12 (-4 *1 (-375)) (-5 *2 (-706))))) -(((*1 *1 *1) (-4 *1 (-572))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-573 *3 *2)) - (-4 *2 (-13 (-403 *3) (-926) (-1104)))))) -(((*1 *1) (-5 *1 (-410)))) + (-12 (-4 *1 (-848)) (-5 *2 (-2 (|:| -2972 (-586 *1)) (|:| -1382 *1))) + (-5 *3 (-586 *1))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-1083)) + (-4 *6 (-13 (-783) (-281) (-960 (-520)) (-582 (-520)) (-135))) + (-4 *4 (-13 (-29 *6) (-1104) (-886))) + (-5 *2 (-2 (|:| |particular| *4) (|:| -1831 (-586 *4)))) + (-5 *1 (-737 *6 *4 *3)) (-4 *3 (-596 *4))))) (((*1 *2 *3 *4 *5) (-12 (-5 *3 (-1 (-201) (-201))) (-5 *4 (-1007 (-352))) (-5 *5 (-586 (-238))) (-5 *2 (-1165)) (-5 *1 (-230)))) @@ -6506,58 +6957,43 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1112 *3 *4 *5 *6)) (-4 *3 (-512)) (-4 *4 (-728)) - 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(-512))) (-5 *1 (-251 *3 *2)) + (-4 *2 (-13 (-403 *3) (-926)))))) +(((*1 *1 *2 *3) + (-12 + (-5 *3 + (-586 + (-2 (|:| |flg| (-3 "nil" "sqfr" "irred" "prime")) (|:| |fctr| *2) + (|:| |xpnt| (-520))))) + (-4 *2 (-512)) (-5 *1 (-391 *2)))) + ((*1 *2 *3) + (-12 + (-5 *3 + (-2 (|:| |contp| (-520)) + (|:| -3493 (-586 (-2 (|:| |irr| *4) (|:| -2421 (-520))))))) + (-4 *4 (-1140 (-520))) (-5 *2 (-391 *4)) (-5 *1 (-414 *4))))) +(((*1 *2 *3) + (-12 (-5 *2 (-1 (-871 *3) (-871 *3))) (-5 *1 (-160 *3)) + (-4 *3 (-13 (-336) (-1104) (-926)))))) +(((*1 *2 *1) + (-12 (-5 *2 (-380 (-880 *3))) (-5 *1 (-425 *3 *4 *5 *6)) + (-4 *3 (-512)) (-4 *3 (-157)) (-14 *4 (-849)) + (-14 *5 (-586 (-1083))) (-14 *6 (-1164 (-626 *3)))))) +(((*1 *1 *2) (-12 (-5 *2 (-1030)) (-5 *1 (-757))))) +(((*1 *2 *3 *4 *4 *5) + (-12 (-5 *4 (-559 *3)) (-5 *5 (-1 (-1079 *3) (-1079 *3))) + (-4 *3 (-13 (-27) (-403 *6))) (-4 *6 (-13 (-783) (-512))) + (-5 *2 (-537 *3)) (-5 *1 (-507 *6 *3))))) +(((*1 *2 *1) (-12 (-4 *1 (-23)) (-5 *2 (-108)))) + ((*1 *2 *1) + (-12 (-4 *3 (-336)) (-4 *4 (-728)) (-4 *5 (-783)) (-5 *2 (-108)) + (-5 *1 (-472 *3 *4 *5 *6)) (-4 *6 (-877 *3 *4 *5)))) + ((*1 *2 *3 *1) + (-12 (-4 *1 (-985 *4 *3)) (-4 *4 (-13 (-781) (-336))) + (-4 *3 (-1140 *4)) (-5 *2 (-108))))) +(((*1 *1 *2) (-12 (-5 *2 (-520)) (-5 *1 (-791))))) (((*1 *1 *2 *3) (-12 (-5 *2 (-110)) (-5 *3 (-586 *1)) (-4 *1 (-276)))) ((*1 *1 *2 *1) (-12 (-4 *1 (-276)) (-5 *2 (-110)))) ((*1 *1 *2) (-12 (-5 *2 (-1083)) (-5 *1 (-559 *3)) (-4 *3 (-783)))) @@ -6583,31 +7019,40 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *1 *1 *1) (-5 *1 (-791)))) -(((*1 *2 *3 *4 *5 *6) - (|partial| -12 (-5 *4 (-1083)) (-5 *6 (-586 (-559 *3))) - (-5 *5 (-559 *3)) (-4 *3 (-13 (-27) (-1104) (-403 *7))) - (-4 *7 (-13 (-424) (-783) (-135) (-960 (-520)) (-582 (-520)))) - (-5 *2 (-2 (|:| -4127 *3) (|:| |coeff| *3))) - (-5 *1 (-513 *7 *3))))) -(((*1 *2 *3) - (-12 (-5 *2 (-1079 (-520))) (-5 *1 (-870)) (-5 *3 (-520))))) -(((*1 *2 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(-586 *9)) (-4 *8 (-983 *5 *6 *7)) + (-4 *9 (-1021 *5 *6 *7 *8)) (-4 *5 (-424)) (-4 *6 (-728)) + (-4 *7 (-783)) (-5 *2 (-706)) (-5 *1 (-1053 *5 *6 *7 *8 *9))))) +(((*1 *1 *1 *1 *2 *3) + (-12 (-5 *2 (-871 *5)) (-5 *3 (-706)) (-4 *5 (-969)) + (-5 *1 (-1072 *4 *5)) (-14 *4 (-849))))) +(((*1 *2 *2) (-12 (-5 *2 (-201)) (-5 *1 (-202)))) + ((*1 *2 *2) (-12 (-5 *2 (-154 (-201))) (-5 *1 (-202)))) + ((*1 *2 *2) + (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-404 *3 *2)) + (-4 *2 (-403 *3)))) + ((*1 *1 *1) (-4 *1 (-1047)))) +(((*1 *1 *1 *1) (-5 *1 (-791)))) +(((*1 *2 *3 *3 *3) + (-12 (-5 *3 (-1066)) (-4 *4 (-424)) (-4 *5 (-728)) (-4 *6 (-783)) + (-4 *7 (-983 *4 *5 *6)) (-5 *2 (-1169)) + (-5 *1 (-913 *4 *5 *6 *7 *8)) (-4 *8 (-988 *4 *5 *6 *7)))) + ((*1 *2 *3 *3 *3) + (-12 (-5 *3 (-1066)) (-4 *4 (-424)) (-4 *5 (-728)) (-4 *6 (-783)) + (-4 *7 (-983 *4 *5 *6)) (-5 *2 (-1169)) + (-5 *1 (-1019 *4 *5 *6 *7 *8)) (-4 *8 (-988 *4 *5 *6 *7))))) +(((*1 *1 *2 *3) + (-12 (-5 *2 (-440)) (-5 *3 (-586 (-238))) (-5 *1 (-1165)))) + ((*1 *1 *1) (-5 *1 (-1165)))) +(((*1 *2 *1) (|partial| -12 (-5 *2 (-1066)) (-5 *1 (-1100))))) +(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-855))))) +(((*1 *1 *1 *2) (-12 (-5 *2 (-44 (-1066) (-709))) (-5 *1 (-110))))) (((*1 *2 *1) (-12 (-5 *2 (-1016)) (-5 *1 (-51))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) @@ -6628,51 +7073,34 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) +(((*1 *2 *3 *3 *4 *5) + (-12 (-5 *3 (-586 (-626 *6))) (-5 *4 (-108)) (-5 *5 (-520)) + (-5 *2 (-626 *6)) (-5 *1 (-952 *6)) (-4 *6 (-336)) (-4 *6 (-969)))) + ((*1 *2 *3 *3) + (-12 (-5 *3 (-586 (-626 *4))) (-5 *2 (-626 *4)) (-5 *1 (-952 *4)) + (-4 *4 (-336)) (-4 *4 (-969)))) + ((*1 *2 *3 *3 *4) + (-12 (-5 *3 (-586 (-626 *5))) (-5 *4 (-520)) (-5 *2 (-626 *5)) + (-5 *1 (-952 *5)) (-4 *5 (-336)) (-4 *5 (-969))))) +(((*1 *1 *1 *1 *1) (-5 *1 (-791))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-586 (-791))) (-5 *1 (-791))))) +(((*1 *2 *1 *2) + (-12 (|has| *1 (-6 -4230)) (-4 *1 (-934 *2)) (-4 *2 (-1118))))) +(((*1 *1 *2) + (-12 (-5 *2 (-586 (-833 *3))) (-4 *3 (-1012)) (-5 *1 (-832 *3))))) (((*1 *2 *3) - (-12 (-4 *4 (-512)) (-4 *5 (-917 *4)) - (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-130 *4 *5 *3)) - (-4 *3 (-346 *5)))) - ((*1 *2 *3) - (-12 (-4 *4 (-512)) (-4 *5 (-917 *4)) - (-5 *2 (-2 (|:| |num| *6) (|:| |den| *4))) - (-5 *1 (-471 *4 *5 *6 *3)) (-4 *6 (-346 *4)) (-4 *3 (-346 *5)))) - ((*1 *2 *3) - (-12 (-5 *3 (-626 *5)) (-4 *5 (-917 *4)) (-4 *4 (-512)) - (-5 *2 (-2 (|:| |num| (-626 *4)) (|:| |den| *4))) - (-5 *1 (-629 *4 *5)))) - ((*1 *2 *3 *4) - (-12 (-4 *5 (-13 (-336) (-135) (-960 (-380 (-520))))) - (-4 *6 (-1140 *5)) - (-5 *2 (-2 (|:| -3197 *7) (|:| |rh| (-586 (-380 *6))))) - (-5 *1 (-743 *5 *6 *7 *3)) (-5 *4 (-586 (-380 *6))) - (-4 *7 (-596 *6)) (-4 *3 (-596 (-380 *6))))) - ((*1 *2 *3) - (-12 (-4 *4 (-512)) (-4 *5 (-917 *4)) - (-5 *2 (-2 (|:| |num| *3) (|:| |den| *4))) (-5 *1 (-1133 *4 *5 *3)) - (-4 *3 (-1140 *5))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-706)) - (-4 *3 (-13 (-281) (-10 -8 (-15 -2478 ((-391 $) $))))) - (-4 *4 (-1140 *3)) (-5 *1 (-467 *3 *4 *5)) (-4 *5 (-382 *3 *4))))) -(((*1 *2 *2) - (-12 (-4 *3 (-561 (-820 *3))) (-4 *3 (-814 *3)) - (-4 *3 (-13 (-783) (-424))) (-5 *1 (-1110 *3 *2)) - (-4 *2 (-561 (-820 *3))) (-4 *2 (-814 *3)) - (-4 *2 (-13 (-403 *3) (-1104)))))) + (|partial| -12 + (-5 *3 + (-2 (|:| |var| (-1083)) (|:| |fn| (-289 (-201))) + (|:| -1667 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) + (|:| |relerr| (-201)))) + (-5 *2 (-586 (-201))) (-5 *1 (-182))))) +(((*1 *1 *1 *2) + (|partial| -12 (-4 *1 (-1112 *3 *4 *5 *2)) (-4 *3 (-512)) + (-4 *4 (-728)) (-4 *5 (-783)) (-4 *2 (-983 *3 *4 *5))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-201)) (-5 *4 (-520)) (-5 *2 (-958)) (-5 *1 (-694))))) -(((*1 *2 *3 *1) - (|partial| -12 (-5 *3 (-1 (-108) *2)) (-4 *1 (-139 *2)) - (-4 *2 (-1118))))) -(((*1 *2 *2 *3) - (-12 (-4 *4 (-13 (-336) (-135) (-960 (-380 (-520))))) - (-4 *3 (-1140 *4)) (-5 *1 (-745 *4 *3 *2 *5)) (-4 *2 (-596 *3)) - (-4 *5 (-596 (-380 *3))))) - ((*1 *2 *2 *3) - (-12 (-5 *3 (-380 *5)) - (-4 *4 (-13 (-336) (-135) (-960 (-380 (-520))))) (-4 *5 (-1140 *4)) - (-5 *1 (-745 *4 *5 *2 *6)) (-4 *2 (-596 *5)) (-4 *6 (-596 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-1066)) (-5 *1 (-695))))) + (-12 (-5 *3 (-1 *5 *4)) (-4 *4 (-1012)) (-4 *5 (-1012)) + (-5 *2 (-1 *5)) (-5 *1 (-620 *4 *5))))) (((*1 *2 *1) (-12 (-5 *2 (-1083)) (-5 *1 (-104)))) ((*1 *2 *1) (-12 (-5 *2 (-1083)) (-5 *1 (-110)))) ((*1 *2 *1) @@ -6683,17 +7111,12 @@ ((*1 *2 *1) (-12 (-5 *2 (-1083)) (-5 *1 (-730)))) ((*1 *2 *1) (-12 (-5 *2 (-1083)) (-5 *1 (-990 *3)) (-14 *3 *2))) ((*1 *1 *1) (-5 *1 (-1083)))) -(((*1 *2 *1) - (-12 (-4 *1 (-983 *3 *4 *5)) (-4 *3 (-969)) (-4 *4 (-728)) - (-4 *5 (-783)) (-5 *2 (-706))))) +(((*1 *2 *3 *4 *4 *4 *5 *4 *5 *5 *3) + (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *5 (-201)) + (-5 *2 (-958)) (-5 *1 (-687))))) (((*1 *2) (-12 (-5 *2 (-776 (-520))) (-5 *1 (-494)))) ((*1 *1) (-12 (-5 *1 (-776 *2)) (-4 *2 (-1012))))) -(((*1 *1 *1) (-12 (-4 *1 (-151 *2)) (-4 *2 (-157)))) - ((*1 *1 *1 *1) (-4 *1 (-445))) - ((*1 *1 *1) (-12 (-4 *1 (-733 *2)) (-4 *2 (-157)))) - ((*1 *2 *2) (-12 (-5 *2 (-586 (-520))) (-5 *1 (-811)))) - ((*1 *1 *1) (-5 *1 (-896))) - ((*1 *1 *1) (-12 (-4 *1 (-921 *2)) (-4 *2 (-157))))) +(((*1 *2) (-12 (-5 *2 (-1066)) (-5 *1 (-364))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) (-4 *2 (-13 (-403 *3) (-926))))) @@ -6713,44 +7136,51 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *1 *1 *2) - (-12 (-4 *1 (-55 *2 *3 *4)) (-4 *2 (-1118)) (-4 *3 (-346 *2)) - (-4 *4 (-346 *2)))) - ((*1 *1 *1 *2) - (-12 (|has| *1 (-6 -4230)) (-4 *1 (-553 *3 *2)) (-4 *3 (-1012)) - (-4 *2 (-1118))))) +(((*1 *2 *1) + (-12 (-4 *1 (-624 *3 *4 *5)) (-4 *3 (-969)) (-4 *4 (-346 *3)) + (-4 *5 (-346 *3)) (-5 *2 (-108)))) + ((*1 *2 *1) + (-12 (-4 *1 (-972 *3 *4 *5 *6 *7)) (-4 *5 (-969)) + (-4 *6 (-214 *4 *5)) (-4 *7 (-214 *3 *5)) (-5 *2 (-108))))) +(((*1 *1 *2) (-12 (-5 *2 (-586 (-791))) (-5 *1 (-791)))) + ((*1 *1 *1 *1) (-5 *1 (-791)))) +(((*1 *2 *2 *3) + (-12 (-5 *2 (-1079 *7)) (-5 *3 (-520)) (-4 *7 (-877 *6 *4 *5)) + (-4 *4 (-728)) (-4 *5 (-783)) (-4 *6 (-969)) + (-5 *1 (-294 *4 *5 *6 *7))))) (((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |var| (-1083)) (|:| |fn| (-289 (-201))) - (|:| -2664 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) - (|:| |relerr| (-201)))) - (-5 *2 - (-3 (|:| |continuous| "Continuous at the end points") - (|:| |lowerSingular| - "There is a singularity at the lower end point") - (|:| |upperSingular| - "There is a singularity at the upper end point") - (|:| |bothSingular| "There are singularities at both end points") - (|:| |notEvaluated| "End point continuity not yet evaluated"))) - (-5 *1 (-170))))) -(((*1 *1 *1 *1) (-5 *1 (-791))) ((*1 *1 *1) (-5 *1 (-791))) - ((*1 *1 *2 *3) - (-12 (-5 *2 (-1079 (-520))) (-5 *3 (-520)) (-4 *1 (-797 *4))))) -(((*1 *1 *2) (-12 (-5 *2 (-1030)) (-5 *1 (-757))))) -(((*1 *2 *1) (|partial| -12 (-5 *2 (-1066)) (-5 *1 (-1100))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-1 *5 *4)) (-4 *4 (-1012)) (-4 *5 (-1012)) - (-5 *2 (-1 *5)) (-5 *1 (-620 *4 *5))))) + (-12 (-5 *3 (-1079 *7)) (-4 *7 (-877 *6 *4 *5)) (-4 *4 (-728)) + (-4 *5 (-783)) (-4 *6 (-969)) (-5 *2 (-1079 *6)) + (-5 *1 (-294 *4 *5 *6 *7))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-512)) + (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -2257 *3))) + (-5 *1 (-895 *4 *3)) (-4 *3 (-1140 *4))))) +(((*1 *2 *2 *3) + (-12 (-5 *3 (-1 (-108) *2)) (-4 *2 (-125)) (-5 *1 (-998 *2)))) + ((*1 *2 *2 *3) + (-12 (-5 *3 (-1 (-520) *2 *2)) (-4 *2 (-125)) (-5 *1 (-998 *2))))) (((*1 *2 *1 *1) (-12 (-5 *2 (-586 (-268 *4))) (-5 *1 (-570 *3 *4 *5)) (-4 *3 (-783)) (-4 *4 (-13 (-157) (-653 (-380 (-520))))) (-14 *5 (-849))))) -(((*1 *2 *2) - (-12 (-5 *2 (-1064 *3)) (-4 *3 (-969)) (-5 *1 (-1068 *3)))) - ((*1 *1 *1) - (-12 (-5 *1 (-1156 *2 *3 *4)) (-4 *2 (-969)) (-14 *3 (-1083)) - (-14 *4 *2)))) -(((*1 *1 *1) (-12 (-4 *1 (-613 *2)) (-4 *2 (-1118))))) +(((*1 *2 *3 *4 *4) + (-12 (-5 *3 (-586 (-880 *5))) (-5 *4 (-108)) + (-4 *5 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-966 *5 *6))) (-5 *1 (-1188 *5 *6 *7)) + (-14 *6 (-586 (-1083))) (-14 *7 (-586 (-1083))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-586 (-880 *5))) (-5 *4 (-108)) + (-4 *5 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-966 *5 *6))) (-5 *1 (-1188 *5 *6 *7)) + (-14 *6 (-586 (-1083))) (-14 *7 (-586 (-1083))))) + ((*1 *2 *3) + (-12 (-5 *3 (-586 (-880 *4))) + (-4 *4 (-13 (-781) (-281) (-135) (-945))) + (-5 *2 (-586 (-966 *4 *5))) (-5 *1 (-1188 *4 *5 *6)) + (-14 *5 (-586 (-1083))) (-14 *6 (-586 (-1083)))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-988 *4 *5 *6 *3)) (-4 *4 (-424)) (-4 *5 (-728)) + (-4 *6 (-783)) (-4 *3 (-983 *4 *5 *6)) (-5 *2 (-108))))) (((*1 *2) (-12 (-5 *2 (-586 *3)) (-5 *1 (-998 *3)) (-4 *3 (-125))))) (((*1 *2) (-12 (-5 *2 (-776 (-520))) (-5 *1 (-494)))) ((*1 *1) (-12 (-5 *1 (-776 *2)) (-4 *2 (-1012))))) @@ -6770,64 +7200,51 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *2 *3 *4 *5) - (-12 (-5 *5 (-108)) (-4 *6 (-424)) (-4 *7 (-728)) (-4 *8 (-783)) - (-4 *3 (-983 *6 *7 *8)) +(((*1 *2) (-12 (-5 *2 (-1083)) (-5 *1 (-1086))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-593 (-380 *6))) (-5 *4 (-380 *6)) (-4 *6 (-1140 *5)) + (-4 *5 (-13 (-336) (-135) (-960 (-520)) (-960 (-380 (-520))))) (-5 *2 - (-2 (|:| |done| (-586 *4)) - (|:| |todo| (-586 (-2 (|:| |val| (-586 *3)) (|:| -1943 *4)))))) - (-5 *1 (-986 *6 *7 *8 *3 *4)) (-4 *4 (-988 *6 *7 *8 *3)))) + (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1831 (-586 *4)))) + (-5 *1 (-746 *5 *6)))) ((*1 *2 *3 *4) - (-12 (-4 *5 (-424)) (-4 *6 (-728)) (-4 *7 (-783)) - (-4 *3 (-983 *5 *6 *7)) + (-12 (-5 *3 (-593 (-380 *6))) (-4 *6 (-1140 *5)) + (-4 *5 (-13 (-336) (-135) (-960 (-520)) (-960 (-380 (-520))))) + (-5 *2 (-2 (|:| -1831 (-586 (-380 *6))) (|:| -3927 (-626 *5)))) + (-5 *1 (-746 *5 *6)) (-5 *4 (-586 (-380 *6))))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-594 *6 (-380 *6))) (-5 *4 (-380 *6)) (-4 *6 (-1140 *5)) + (-4 *5 (-13 (-336) (-135) (-960 (-520)) (-960 (-380 (-520))))) (-5 *2 - (-2 (|:| |done| (-586 *4)) - (|:| |todo| (-586 (-2 (|:| |val| (-586 *3)) (|:| -1943 *4)))))) - (-5 *1 (-1053 *5 *6 *7 *3 *4)) (-4 *4 (-1021 *5 *6 *7 *3))))) -(((*1 *2 *3) - (-12 (-4 *4 (-512)) (-5 *2 (-706)) (-5 *1 (-42 *4 *3)) - (-4 *3 (-390 *4))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-512) (-135))) (-5 *2 (-586 *3)) - (-5 *1 (-1134 *4 *3)) (-4 *3 (-1140 *4))))) -(((*1 *2 *1) - (-12 (-4 *1 (-1044 *3)) (-4 *3 (-969)) (-5 *2 (-586 (-871 *3))))) - ((*1 *1 *2) - (-12 (-5 *2 (-586 (-871 *3))) (-4 *3 (-969)) (-4 *1 (-1044 *3)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-586 (-586 *3))) (-4 *1 (-1044 *3)) (-4 *3 (-969)))) - ((*1 *1 *1 *2) - (-12 (-5 *2 (-586 (-871 *3))) (-4 *1 (-1044 *3)) (-4 *3 (-969))))) + (-2 (|:| |particular| (-3 *4 "failed")) (|:| -1831 (-586 *4)))) + (-5 *1 (-746 *5 *6)))) + ((*1 *2 *3 *4) + (-12 (-5 *3 (-594 *6 (-380 *6))) (-4 *6 (-1140 *5)) + (-4 *5 (-13 (-336) (-135) (-960 (-520)) (-960 (-380 (-520))))) + (-5 *2 (-2 (|:| -1831 (-586 (-380 *6))) (|:| -3927 (-626 *5)))) + (-5 *1 (-746 *5 *6)) (-5 *4 (-586 (-380 *6)))))) +(((*1 *2 *1) (-12 (-5 *2 (-586 (-999))) (-5 *1 (-265))))) +(((*1 *2 *3 *2 *4) + (|partial| -12 (-5 *3 (-586 (-559 *2))) (-5 *4 (-1083)) + (-4 *2 (-13 (-27) (-1104) (-403 *5))) + (-4 *5 (-13 (-512) (-783) (-960 (-520)) (-582 (-520)))) + (-5 *1 (-252 *5 *2))))) +(((*1 *1 *1 *2 *2) + (|partial| -12 (-5 *2 (-849)) (-5 *1 (-1013 *3 *4)) (-14 *3 *2) + (-14 *4 *2)))) +(((*1 *2 *2) + (-12 (-5 *2 (-1064 *3)) (-4 *3 (-969)) (-5 *1 (-1068 *3)))) + ((*1 *1 *1) + (-12 (-5 *1 (-1156 *2 *3 *4)) (-4 *2 (-969)) (-14 *3 (-1083)) + (-14 *4 *2)))) (((*1 *2 *3 *4) - (-12 (-4 *5 (-424)) (-4 *6 (-728)) (-4 *7 (-783)) - (-4 *3 (-983 *5 *6 *7)) - (-5 *2 (-586 (-2 (|:| |val| *3) (|:| -1943 *4)))) - (-5 *1 (-989 *5 *6 *7 *3 *4)) (-4 *4 (-988 *5 *6 *7 *3))))) -(((*1 *1 *2) - (-12 (-5 *2 (-1050 *3 *4)) (-14 *3 (-849)) (-4 *4 (-336)) - (-5 *1 (-918 *3 *4))))) -(((*1 *2 *1) - (-12 (-5 *2 (-158 (-380 (-520)))) (-5 *1 (-113 *3)) (-14 *3 (-520)))) - ((*1 *1 *2 *3 *3) - (-12 (-5 *3 (-1064 *2)) (-4 *2 (-281)) (-5 *1 (-158 *2)))) - ((*1 *1 *2) (-12 (-5 *2 (-380 *3)) (-4 *3 (-281)) (-5 *1 (-158 *3)))) - ((*1 *2 *3) - (-12 (-5 *2 (-158 (-520))) (-5 *1 (-701 *3)) (-4 *3 (-377)))) - ((*1 *2 *1) - (-12 (-5 *2 (-158 (-380 (-520)))) (-5 *1 (-799 *3)) (-14 *3 (-520)))) - ((*1 *2 *1) - (-12 (-14 *3 (-520)) (-5 *2 (-158 (-380 (-520)))) - (-5 *1 (-800 *3 *4)) (-4 *4 (-797 *3))))) -(((*1 *2 *1) - (-12 (-5 *2 (-2 (|:| |var| (-586 (-1083))) (|:| |pred| (-51)))) - (-5 *1 (-820 *3)) (-4 *3 (-1012))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1079 *4)) (-4 *4 (-322)) - (-4 *2 - (-13 (-375) - (-10 -7 (-15 -2222 (*2 *4)) (-15 -2899 ((-849) *2)) - (-15 -1343 ((-1164 *2) (-849))) (-15 -2384 (*2 *2))))) - (-5 *1 (-329 *2 *4))))) + (-12 (-5 *4 (-586 *5)) (-4 *5 (-1140 *3)) (-4 *3 (-281)) + (-5 *2 (-108)) (-5 *1 (-427 *3 *5))))) +(((*1 *2 *3 *3) + (-12 (-4 *4 (-512)) + (-5 *2 (-2 (|:| |coef1| *3) (|:| |coef2| *3) (|:| -2413 *4))) + (-5 *1 (-895 *4 *3)) (-4 *3 (-1140 *4))))) +(((*1 *1 *1 *1) (-5 *1 (-791)))) (((*1 *1 *1 *2) (-12 (-4 *1 (-1052)) (-5 *2 (-129)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1052)) (-5 *2 (-132))))) (((*1 *2 *1) (-12 (-5 *2 (-709)) (-5 *1 (-51))))) @@ -6847,44 +7264,29 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) +(((*1 *2) (-12 (-5 *2 (-832 (-520))) (-5 *1 (-845))))) +(((*1 *2 *1) (-12 (-5 *2 (-758)) (-5 *1 (-757))))) +(((*1 *2 *1) + (-12 (-4 *3 (-969)) (-4 *4 (-728)) (-4 *5 (-783)) (-5 *2 (-586 *1)) + (-4 *1 (-983 *3 *4 *5))))) +(((*1 *2 *1) (-12 (-4 *1 (-476 *3 *2)) (-4 *3 (-1012)) (-4 *2 (-783))))) +(((*1 *2 *2) (-12 (-5 *2 (-849)) (-5 *1 (-376 *3)) (-4 *3 (-377)))) + ((*1 *2) (-12 (-5 *2 (-849)) (-5 *1 (-376 *3)) (-4 *3 (-377)))) + ((*1 *2 *2) (-12 (-5 *2 (-849)) (|has| *1 (-6 -4220)) (-4 *1 (-377)))) + ((*1 *2) (-12 (-4 *1 (-377)) (-5 *2 (-849)))) + ((*1 *2 *1) (-12 (-4 *1 (-797 *3)) (-5 *2 (-1064 (-520)))))) +(((*1 *1 *1) (-12 (-4 *1 (-613 *2)) (-4 *2 (-1118))))) (((*1 *2 *3) - (-12 (-5 *3 (-586 (-2 (|:| |deg| (-706)) (|:| -3168 *5)))) - (-4 *5 (-1140 *4)) (-4 *4 (-322)) (-5 *2 (-586 *5)) - (-5 *1 (-193 *4 *5)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-586 (-2 (|:| -1971 *5) (|:| -3300 (-520))))) - (-5 *4 (-520)) (-4 *5 (-1140 *4)) (-5 *2 (-586 *5)) - (-5 *1 (-632 *5))))) -(((*1 *2 *2) - (-12 (-4 *2 (-13 (-336) (-781))) (-5 *1 (-164 *2 *3)) - (-4 *3 (-1140 (-154 *2)))))) -(((*1 *2 *2 *3 *2) - (-12 (-5 *2 (-626 *3)) (-4 *3 (-969)) (-5 *1 (-627 *3))))) -(((*1 *2 *2) (-12 - (-5 *2 - (-2 (|:| |fn| (-289 (-201))) (|:| -3794 (-586 (-201))) - (|:| |lb| (-586 (-776 (-201)))) (|:| |cf| (-586 (-289 (-201)))) - (|:| |ub| (-586 (-776 (-201)))))) - (-5 *1 (-242))))) -(((*1 *2 *3 *3 *3 *4) - (|partial| -12 (-5 *4 (-1 *6 *6)) (-4 *6 (-1140 *5)) - (-4 *5 (-13 (-336) (-135) (-960 (-520)))) - (-5 *2 - (-2 (|:| |a| *6) (|:| |b| (-380 *6)) (|:| |h| *6) - (|:| |c1| (-380 *6)) (|:| |c2| (-380 *6)) (|:| -1669 *6))) - (-5 *1 (-940 *5 *6)) (-5 *3 (-380 *6))))) -(((*1 *2 *2) (-12 (-5 *2 (-520)) (-5 *1 (-855))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-201)) (-5 *4 (-520)) (-5 *2 (-958)) (-5 *1 (-694))))) -(((*1 *2) - (-12 (-4 *4 (-336)) (-5 *2 (-706)) (-5 *1 (-301 *3 *4)) - (-4 *3 (-302 *4)))) - ((*1 *2) (-12 (-4 *1 (-1181 *3)) (-4 *3 (-336)) (-5 *2 (-706))))) -(((*1 *2 *3 *4 *4 *3 *5 *3 *3 *4 *3 *6) - (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *5 (-201)) - (-5 *6 (-3 (|:| |fn| (-361)) (|:| |fp| (-76 FUNCTN)))) - (-5 *2 (-958)) (-5 *1 (-684))))) + (-5 *3 + (-2 (|:| |xinit| (-201)) (|:| |xend| (-201)) + (|:| |fn| (-1164 (-289 (-201)))) (|:| |yinit| (-586 (-201))) + (|:| |intvals| (-586 (-201))) (|:| |g| (-289 (-201))) + (|:| |abserr| (-201)) (|:| |relerr| (-201)))) + (-5 *2 (-352)) (-5 *1 (-183))))) +(((*1 *1 *1 *1) (-12 (-4 *1 (-1140 *2)) (-4 *2 (-969)) (-4 *2 (-512))))) +(((*1 *1 *1 *1) (-12 (-5 *1 (-359 *2)) (-4 *2 (-1012)))) + ((*1 *1 *1 *1) (-12 (-5 *1 (-755 *2)) (-4 *2 (-783))))) (((*1 *1 *1 *2) (-12 (-4 *1 (-1052)) (-5 *2 (-129)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-1052)) (-5 *2 (-132))))) (((*1 *2) (-12 (-5 *2 (-769 (-520))) (-5 *1 (-494)))) @@ -6905,38 +7307,71 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *1) (-12 (-4 *1 (-302 *2)) (-4 *2 (-341)) (-4 *2 (-336)))) - ((*1 *2 *3) - (-12 (-5 *3 (-849)) (-5 *2 (-1164 *4)) (-5 *1 (-490 *4)) - (-4 *4 (-322))))) -(((*1 *2 *3) - (-12 (-4 *4 (-512)) (-5 *2 (-706)) (-5 *1 (-42 *4 *3)) - (-4 *3 (-390 *4))))) -(((*1 *2) - (-12 (-5 *2 (-2 (|:| -2553 (-586 *3)) (|:| -1223 (-586 *3)))) - (-5 *1 (-1119 *3)) (-4 *3 (-1012))))) -(((*1 *2 *3 *4 *2 *2 *5) - (|partial| -12 (-5 *2 (-776 *4)) (-5 *3 (-559 *4)) (-5 *5 (-108)) - (-4 *4 (-13 (-1104) (-29 *6))) - (-4 *6 (-13 (-424) (-783) (-960 (-520)) (-582 (-520)))) - (-5 *1 (-200 *6 *4))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1179 *3 *4)) (-4 *3 (-783)) (-4 *4 (-969)) + (-5 *2 (-2 (|:| |k| (-755 *3)) (|:| |c| *4)))))) +(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-820 *3)) (-4 *3 (-1012))))) +(((*1 *2) (-12 (-5 *2 (-108)) (-5 *1 (-854))))) +(((*1 *2 *3 *4 *4 *4 *4 *5 *5 *5) + (-12 (-5 *3 (-1 (-352) (-352))) (-5 *4 (-352)) + (-5 *2 + (-2 (|:| -3429 *4) (|:| -2967 *4) (|:| |totalpts| (-520)) + (|:| |success| (-108)))) + (-5 *1 (-724)) (-5 *5 (-520))))) +(((*1 *1 *2) + (-12 + (-5 *2 + (-586 + (-2 + (|:| -2526 + (-2 (|:| |var| (-1083)) (|:| |fn| (-289 (-201))) + (|:| -1667 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) + (|:| |relerr| (-201)))) + (|:| -3043 + (-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| (-1064 (-201))) + (|:| |notEvaluated| + "Internal singularities not yet evaluated"))) + (|:| -1667 + (-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 (-515))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-108)) (-4 *6 (-424)) (-4 *7 (-728)) (-4 *8 (-783)) + (-4 *3 (-983 *6 *7 *8)) + (-5 *2 + (-2 (|:| |done| (-586 *4)) + (|:| |todo| (-586 (-2 (|:| |val| (-586 *3)) (|:| -1883 *4)))))) + (-5 *1 (-986 *6 *7 *8 *3 *4)) (-4 *4 (-988 *6 *7 *8 *3)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-424)) (-4 *6 (-728)) (-4 *7 (-783)) + (-4 *3 (-983 *5 *6 *7)) + (-5 *2 + (-2 (|:| |done| (-586 *4)) + (|:| |todo| (-586 (-2 (|:| |val| (-586 *3)) (|:| -1883 *4)))))) + (-5 *1 (-1053 *5 *6 *7 *3 *4)) (-4 *4 (-1021 *5 *6 *7 *3))))) (((*1 *2 *3) - (-12 (-5 *2 (-1 (-871 *3) (-871 *3))) (-5 *1 (-160 *3)) - (-4 *3 (-13 (-336) (-1104) (-926))))) - ((*1 *2) - (|partial| -12 (-4 *4 (-1122)) (-4 *5 (-1140 (-380 *2))) - (-4 *2 (-1140 *4)) (-5 *1 (-314 *3 *4 *2 *5)) - (-4 *3 (-315 *4 *2 *5)))) - ((*1 *2) - (|partial| -12 (-4 *1 (-315 *3 *2 *4)) (-4 *3 (-1122)) - (-4 *4 (-1140 (-380 *2))) (-4 *2 (-1140 *3))))) -(((*1 *2 *2) (-12 (-5 *2 (-108)) (-5 *1 (-958))))) + (-12 (-4 *4 (-512)) (-5 *2 (-2 (|:| |coef2| *3) (|:| -2732 *4))) + (-5 *1 (-895 *4 *3)) (-4 *3 (-1140 *4))))) (((*1 *2 *3) - (-12 (-4 *4 (-512)) (-4 *5 (-728)) (-4 *6 (-783)) - (-4 *7 (-983 *4 *5 *6)) - (-5 *2 (-2 (|:| |goodPols| (-586 *7)) (|:| |badPols| (-586 *7)))) - (-5 *1 (-902 *4 *5 *6 *7)) (-5 *3 (-586 *7))))) -(((*1 *2 *2) (-12 (-5 *2 (-108)) (-5 *1 (-854))))) + (-12 (-4 *4 (-512)) (-4 *5 (-728)) (-4 *6 (-783)) (-5 *2 (-108)) + (-5 *1 (-902 *4 *5 *6 *3)) (-4 *3 (-983 *4 *5 *6))))) (((*1 *1 *2) (-12 (-5 *2 (-1066)) (-5 *1 (-791))))) (((*1 *2) (-12 (-4 *2 (-13 (-403 *3) (-926))) (-5 *1 (-251 *3 *2)) @@ -6945,10 +7380,7 @@ (-12 (-5 *1 (-312 *2 *3 *4)) (-14 *2 (-586 (-1083))) (-14 *3 (-586 (-1083))) (-4 *4 (-360)))) ((*1 *1) (-5 *1 (-449))) ((*1 *1) (-4 *1 (-1104)))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *2 (-586 *7)) (-5 *3 (-520)) (-4 *7 (-877 *4 *5 *6)) - (-4 *4 (-424)) (-4 *5 (-728)) (-4 *6 (-783)) - (-5 *1 (-421 *4 *5 *6 *7))))) +(((*1 *2 *1) (-12 (-5 *2 (-1066)) (-5 *1 (-496))))) (((*1 *1 *1) (-4 *1 (-91))) ((*1 *1 *1 *1) (-5 *1 (-201))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) @@ -6969,27 +7401,15 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *2 *1) - (-12 (-4 *1 (-151 *3)) (-4 *3 (-157)) (-4 *3 (-505)) (-5 *2 (-108)))) - ((*1 *2 *1) - (-12 (-5 *2 (-108)) (-5 *1 (-391 *3)) (-4 *3 (-505)) (-4 *3 (-512)))) - ((*1 *2 *1) (-12 (-4 *1 (-505)) (-5 *2 (-108)))) - ((*1 *2 *1) - (-12 (-4 *1 (-733 *3)) (-4 *3 (-157)) (-4 *3 (-505)) (-5 *2 (-108)))) - ((*1 *2 *1) - (-12 (-5 *2 (-108)) (-5 *1 (-769 *3)) (-4 *3 (-505)) (-4 *3 (-1012)))) - ((*1 *2 *1) - (-12 (-5 *2 (-108)) (-5 *1 (-776 *3)) (-4 *3 (-505)) (-4 *3 (-1012)))) - ((*1 *2 *1) - (-12 (-4 *1 (-921 *3)) (-4 *3 (-157)) (-4 *3 (-505)) (-5 *2 (-108)))) - ((*1 *2 *3) - (-12 (-5 *2 (-108)) (-5 *1 (-932 *3)) (-4 *3 (-960 (-380 (-520))))))) -(((*1 *2) (-12 (-5 *2 (-1169)) (-5 *1 (-409))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-706)) (-4 *1 (-1140 *3)) (-4 *3 (-969))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-586 *6)) (-4 *6 (-983 *3 *4 *5)) (-4 *3 (-424)) - (-4 *3 (-512)) (-4 *4 (-728)) (-4 *5 (-783)) - (-5 *1 (-902 *3 *4 *5 *6))))) +(((*1 *2 *3) (-12 (-5 *3 (-1083)) (-5 *2 (-1169)) (-5 *1 (-1086)))) + ((*1 *2 *1) (-12 (-5 *2 (-1169)) (-5 *1 (-1087))))) +(((*1 *2 *3) (-12 (-5 *3 (-201)) (-5 *2 (-289 (-352))) (-5 *1 (-279))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-586 (-586 (-586 *4)))) (-5 *3 (-586 *4)) (-4 *4 (-783)) + (-5 *1 (-1090 *4))))) +(((*1 *2 *1 *3) (-12 (-5 *3 (-706)) (-5 *1 (-805 *2)) (-4 *2 (-1118)))) + ((*1 *2 *1 *3) (-12 (-5 *3 (-706)) (-5 *1 (-807 *2)) (-4 *2 (-1118)))) + ((*1 *2 *1 *3) (-12 (-5 *3 (-706)) (-5 *1 (-810 *2)) (-4 *2 (-1118))))) (((*1 *2 *1) (|partial| -12 (-4 *3 (-424)) (-4 *4 (-783)) (-4 *5 (-728)) (-5 *2 (-108)) (-5 *1 (-912 *3 *4 *5 *6)) @@ -6997,18 +7417,20 @@ ((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-1048 *3 *4)) (-4 *3 (-13 (-1012) (-33))) (-4 *4 (-13 (-1012) (-33)))))) -(((*1 *2 *2 *1) (-12 (-4 *1 (-1031 *2)) (-4 *2 (-1118))))) -(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-546 *3)) (-4 *3 (-969)))) - ((*1 *2 *1) - (-12 (-4 *1 (-898 *3 *4 *5)) (-4 *3 (-969)) (-4 *4 (-727)) - (-4 *5 (-783)) (-5 *2 (-108))))) -(((*1 *1 *2) - (-12 (-5 *2 (-586 (-586 *3))) (-4 *3 (-1012)) (-5 *1 (-833 *3))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-586 (-1066))) (-5 *1 (-367))))) +(((*1 *2 *3 *4 *3) + (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *2 (-958)) + (-5 *1 (-683))))) +(((*1 *2 *3) + (-12 (-5 *3 (-586 *2)) (-4 *2 (-403 *4)) (-5 *1 (-144 *4 *2)) + (-4 *4 (-13 (-783) (-512)))))) +(((*1 *2 *3) + (-12 (-4 *4 (-512)) (-5 *2 (-706)) (-5 *1 (-42 *4 *3)) + (-4 *3 (-390 *4))))) (((*1 *2) - (-12 (-4 *4 (-157)) (-5 *2 (-108)) (-5 *1 (-339 *3 *4)) - (-4 *3 (-340 *4)))) - ((*1 *2) (-12 (-4 *1 (-340 *3)) (-4 *3 (-157)) (-5 *2 (-108))))) + (-12 (-5 *2 (-849)) (-5 *1 (-414 *3)) (-4 *3 (-1140 (-520))))) + ((*1 *2 *2) + (-12 (-5 *2 (-849)) (-5 *1 (-414 *3)) (-4 *3 (-1140 (-520)))))) +(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-132))))) (((*1 *1 *1) (-4 *1 (-91))) ((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) @@ -7028,40 +7450,44 @@ ((*1 *2 *2) (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3))))) -(((*1 *1 *1 *2 *2) - (-12 (-5 *2 (-520)) (-5 *1 (-128 *3 *4 *5)) (-14 *3 *2) - (-14 *4 (-706)) (-4 *5 (-157)))) - ((*1 *1 *1) - (-12 (-5 *1 (-128 *2 *3 *4)) (-14 *2 (-520)) (-14 *3 (-706)) - (-4 *4 (-157)))) - ((*1 *1 *1) - (-12 (-4 *1 (-624 *2 *3 *4)) (-4 *2 (-969)) (-4 *3 (-346 *2)) - (-4 *4 (-346 *2)))) - ((*1 *1 *2) - (-12 (-4 *3 (-969)) (-4 *1 (-624 *3 *2 *4)) (-4 *2 (-346 *3)) - (-4 *4 (-346 *3)))) - ((*1 *1 *1) - (-12 (-5 *1 (-1050 *2 *3)) (-14 *2 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(-4 *3 (-969))))) +(((*1 *2 *3 *4 *3) + (|partial| -12 (-5 *4 (-1083)) + (-4 *5 (-13 (-424) (-783) (-135) (-960 (-520)) (-582 (-520)))) + (-5 *2 (-2 (|:| -4016 *3) (|:| |coeff| *3))) (-5 *1 (-513 *5 *3)) + (-4 *3 (-13 (-27) (-1104) (-403 *5)))))) (((*1 *2 *1) (-12 (-5 *2 (-1035 (-520) (-559 (-47)))) (-5 *1 (-47)))) ((*1 *2 *1) (-12 (-4 *3 (-281)) (-4 *4 (-917 *3)) (-4 *5 (-1140 *4)) @@ -7187,40 +7635,40 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1) (-4 *1 (-1107)))) -(((*1 *2 *2 *3) - (-12 (-5 *3 (-586 *2)) (-4 *2 (-505)) (-5 *1 (-145 *2))))) -(((*1 *2 *3) - (-12 (-4 *4 (-512)) (-5 *2 (-1079 *3)) (-5 *1 (-40 *4 *3)) - (-4 *3 - (-13 (-336) (-276) - (-10 -8 (-15 -2806 ((-1035 *4 (-559 $)) $)) - (-15 -2817 ((-1035 *4 (-559 $)) $)) - (-15 -2222 ($ (-1035 *4 (-559 $)))))))))) +(((*1 *2 *3 *4 *4 *3 *5 *3 *3 *3 *6) + (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *5 (-201)) + (-5 *6 (-3 (|:| |fn| (-361)) (|:| |fp| (-76 FUNCTN)))) + (-5 *2 (-958)) (-5 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((*1 *2) + (|partial| -12 + (-5 *2 + (-2 (|:| |particular| (-425 *3 *4 *5 *6)) + (|:| -1831 (-586 (-425 *3 *4 *5 *6))))) + (-5 *1 (-425 *3 *4 *5 *6)) (-4 *3 (-157)) (-14 *4 (-849)) + (-14 *5 (-586 (-1083))) (-14 *6 (-1164 (-626 *3)))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) (-4 *2 (-13 (-403 *3) (-926))))) @@ -7237,39 +7685,64 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1) (-4 *1 (-1107)))) +(((*1 *2 *2 *2 *3) + (-12 (-5 *2 (-586 (-520))) (-5 *3 (-626 (-520))) (-5 *1 (-1022))))) (((*1 *2 *2) - (-12 - (-5 *2 - (-912 (-380 (-520)) (-793 *3) (-216 *4 (-706)) - (-223 *3 (-380 (-520))))) - (-14 *3 (-586 (-1083))) (-14 *4 (-706)) (-5 *1 (-911 *3 *4))))) -(((*1 *2 *1) (-12 (-4 *1 (-613 *3)) (-4 *3 (-1118)) (-5 *2 (-108))))) -(((*1 *2 *3 *4 *4 *4 *3) - (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *2 (-958)) - (-5 *1 (-687))))) -(((*1 *1 *2 *1) - (-12 (-5 *1 (-589 *2 *3 *4)) (-4 *2 (-1012)) (-4 *3 (-23)) - (-14 *4 *3)))) + 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(-352)) (|:| -2883 (-1066)) + (|:| |explanations| (-586 (-1066))) (|:| |extra| (-958)))) + (-5 *2 (-958)) (-5 *1 (-279))))) +(((*1 *1 *2) + (-12 (-5 *2 (-1050 *3 *4)) (-14 *3 (-849)) (-4 *4 (-336)) + (-5 *1 (-918 *3 *4))))) +(((*1 *1 *1) + (-12 (-5 *1 (-545 *2)) (-4 *2 (-37 (-380 (-520)))) (-4 *2 (-969))))) +(((*1 *2 *3) (-12 (-5 *3 (-1066)) (-5 *2 (-51)) (-5 *1 (-1097))))) +(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-769 *3)) (-4 *3 (-1012)))) + ((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-776 *3)) (-4 *3 (-1012))))) +(((*1 *2 *3) + (-12 (-5 *3 (-289 (-201))) (-5 *2 (-380 (-520))) (-5 *1 (-279))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) (-4 *2 (-13 (-403 *3) (-926))))) @@ -7286,61 +7759,49 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1) (-4 *1 (-1107)))) -(((*1 *1 *2) - (-12 (-5 *2 (-849)) (-4 *1 (-214 *3 *4)) (-4 *4 (-969)) - (-4 *4 (-1118)))) - ((*1 *1 *2) - (-12 (-14 *3 (-586 (-1083))) (-4 *4 (-157)) - (-4 *5 (-214 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(-520)))) @@ -7430,26 +7891,36 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1) (-4 *1 (-1107)))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-586 (-791))) (-5 *1 (-1083))))) -(((*1 *2 *1) - (-12 (-5 *2 (-586 (-520))) (-5 *1 (-928 *3)) (-14 *3 (-520))))) -(((*1 *1 *2 *3) (-12 (-5 *3 (-520)) (-5 *1 (-391 *2)) (-4 *2 (-512))))) -(((*1 *2 *3) - (-12 (-4 *4 (-13 (-336) (-781))) - (-5 *2 (-2 (|:| |start| *3) (|:| -1532 (-391 *3)))) - (-5 *1 (-164 *4 *3)) (-4 *3 (-1140 (-154 *4)))))) +(((*1 *2 *3 *2) + (-12 (-5 *3 (-706)) (-5 *1 (-718 *2)) (-4 *2 (-37 (-380 (-520)))) + (-4 *2 (-157))))) +(((*1 *2 *3 *2 *2) + (-12 (-5 *2 (-586 (-452 *4 *5))) (-5 *3 (-793 *4)) + (-14 *4 (-586 (-1083))) (-4 *5 (-424)) (-5 *1 (-574 *4 *5))))) +(((*1 *2) (-12 (-5 *2 (-1169)) (-5 *1 (-1083))))) +(((*1 *1 *2 *3 *1) + (-12 (-5 *2 (-1083)) (-5 *3 (-586 (-730))) (-5 *1 (-265))))) (((*1 *1 *1 *1) (-4 *1 (-601))) ((*1 *1 *1 *1) (-5 *1 (-1030)))) -(((*1 *2 *2 *3) - (-12 (-4 *3 (-512)) (-4 *4 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+ ((*1 *1 *1) + (-12 (-4 *1 (-898 *2 *3 *4)) (-4 *2 (-969)) (-4 *3 (-727)) + (-4 *4 (-783))))) +(((*1 *2 *3 *4 *5 *6 *5) + (-12 (-5 *4 (-154 (-201))) (-5 *5 (-520)) (-5 *6 (-1066)) + (-5 *3 (-201)) (-5 *2 (-958)) (-5 *1 (-694))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) (-4 *2 (-13 (-403 *3) (-926))))) @@ -7470,28 +7941,38 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1) (-4 *1 (-1107)))) -(((*1 *2 *1) (-12 (-5 *2 (-108)) (-5 *1 (-892 *3)) (-4 *3 (-893))))) -(((*1 *2 *2) - (-12 (-5 *2 (-871 *3)) (-4 *3 (-13 (-336) (-1104) (-926))) - (-5 *1 (-160 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-733 *2)) (-4 *2 (-157))))) -(((*1 *1) (-5 *1 (-410)))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-626 *1)) (-5 *4 (-1164 *1)) (-4 *1 (-582 *5)) + (-4 *5 (-969)) + (-5 *2 (-2 (|:| -3927 (-626 *5)) (|:| |vec| (-1164 *5)))))) + ((*1 *2 *3) + (-12 (-5 *3 (-626 *1)) (-4 *1 (-582 *4)) (-4 *4 (-969)) + (-5 *2 (-626 *4))))) +(((*1 *1 *2) (-12 (-5 *2 (-380 (-520))) (-5 *1 (-103)))) + ((*1 *1 *1 *2) (-12 (-5 *2 (-586 (-496))) (-5 *1 (-496))))) +(((*1 *2 *1) (-12 (-4 *1 (-1044 *3)) (-4 *3 (-969)) (-5 *2 (-108))))) +(((*1 *2 *1) (-12 (-5 *2 (-1088)) (-5 *1 (-224))))) (((*1 *1) (-5 *1 (-303)))) -(((*1 *1) (-5 *1 (-981)))) -(((*1 *1 *1 *1) (-12 (-4 *1 (-905 *2)) (-4 *2 (-969)))) - ((*1 *2 *2 *2) (-12 (-5 *2 (-871 (-201))) (-5 *1 (-1115)))) - ((*1 *1 *1 *1) - (-12 (-4 *1 (-1162 *2)) (-4 *2 (-1118)) (-4 *2 (-969))))) (((*1 *2 *3 *4) - (-12 (-5 *3 (-586 (-1164 *5))) (-5 *4 (-520)) (-5 *2 (-1164 *5)) - (-5 *1 (-952 *5)) (-4 *5 (-336)) (-4 *5 (-341)) (-4 *5 (-969))))) + (-12 (-4 *5 (-424)) (-4 *6 (-728)) (-4 *7 (-783)) + (-4 *3 (-983 *5 *6 *7)) (-5 *2 (-586 *4)) + (-5 *1 (-1020 *5 *6 *7 *3 *4)) (-4 *4 (-988 *5 *6 *7 *3))))) +(((*1 *2 *3 *4) + (-12 (-5 *3 (-201)) (-5 *4 (-520)) (-5 *2 (-958)) (-5 *1 (-694))))) +(((*1 *2 *1) + (-12 (-4 *1 (-1044 *3)) (-4 *3 (-969)) + (-5 *2 (-586 (-586 (-586 (-706)))))))) (((*1 *1 *2 *3) (-12 (-5 *1 (-801 *2 *3)) (-4 *2 (-1118)) (-4 *3 (-1118))))) -(((*1 *2 *3 *4 *3) - (-12 (-5 *3 (-520)) (-5 *4 (-626 (-201))) (-5 *2 (-958)) - (-5 *1 (-683))))) (((*1 *2 *3 *1) (|partial| -12 (-4 *1 (-557 *3 *2)) (-4 *3 (-1012)) (-4 *2 (-1012))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1079 *4)) (-4 *4 (-322)) + (-4 *2 + (-13 (-375) + (-10 -7 (-15 -2188 (*2 *4)) (-15 -3040 ((-849) *2)) + (-15 -1831 ((-1164 *2) (-849))) (-15 -3751 (*2 *2))))) + (-5 *1 (-329 *2 *4))))) (((*1 *2 *2) (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) (-4 *2 (-13 (-403 *3) (-926))))) @@ -7512,43 +7993,85 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-37 (-380 (-520)))) (-5 *1 (-1070 *3)))) ((*1 *1 *1) (-4 *1 (-1107)))) -(((*1 *2 *3 *2) (-12 (-5 *2 (-1066)) (-5 *3 (-520)) (-5 *1 (-217))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1164 *4)) (-4 *4 (-969)) (-4 *2 (-1140 *4)) - (-5 *1 (-416 *4 *2)))) - ((*1 *2 *3 *2 *4) - (-12 (-5 *2 (-380 (-1079 (-289 *5)))) (-5 *3 (-1164 (-289 *5))) - (-5 *4 (-520)) (-4 *5 (-13 (-512) (-783))) (-5 *1 (-1040 *5))))) -(((*1 *1 *1 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((-1169) $))))) + (-10 -8 (-15 -2543 ((-1066) $ (-1083))) (-15 -1677 ((-1169) $)) + (-15 -3288 ((-1169) $))))) (-5 *1 (-191 *3)))) ((*1 *2 *1) (-12 (-5 *2 (-928 10)) (-5 *1 (-194)))) ((*1 *2 *1) (-12 (-5 *2 (-380 (-520))) (-5 *1 (-194)))) @@ -10534,14 +11008,14 @@ ((*1 *1 *2) (-12 (-4 *1 (-347 *2 *3)) (-4 *2 (-783)) (-4 *3 (-157)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2079 (-586 (-303))))) + (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2031 (-586 (-303))))) (-4 *1 (-356)))) ((*1 *1 *2) (-12 (-5 *2 (-303)) (-4 *1 (-356)))) ((*1 *1 *2) (-12 (-5 *2 (-586 (-303))) (-4 *1 (-356)))) ((*1 *1 *2) (-12 (-5 *2 (-626 (-635))) (-4 *1 (-356)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2079 (-586 (-303))))) + (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2031 (-586 (-303))))) (-4 *1 (-357)))) ((*1 *1 *2) (-12 (-5 *2 (-303)) (-4 *1 (-357)))) ((*1 *1 *2) (-12 (-5 *2 (-586 (-303))) (-4 *1 (-357)))) @@ -10551,7 +11025,7 @@ ((*1 *1 *2) (-12 (-5 *2 (-791)) (-5 *1 (-367)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2079 (-586 (-303))))) + (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2031 (-586 (-303))))) (-4 *1 (-369)))) ((*1 *1 *2) (-12 (-5 *2 (-303)) (-4 *1 (-369)))) ((*1 *1 *2) (-12 (-5 *2 (-586 (-303))) (-4 *1 (-369)))) @@ -10605,7 +11079,7 @@ (-14 *5 (-586 (-1083))) (-14 *6 (-1087)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2079 (-586 (-303))))) + (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2031 (-586 (-303))))) (-5 *1 (-371 *3 *4 *5 *6)) (-14 *3 (-1083)) (-14 *4 (-3 (|:| |fst| (-407)) (|:| -1365 "void"))) (-14 *5 (-586 (-1083))) (-14 *6 (-1087)))) @@ -10643,14 +11117,14 @@ ((*1 *2 *1) (-12 (-5 *2 (-791)) (-5 *1 (-410)))) ((*1 *1 *2) (-12 - (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2079 (-586 (-303))))) + (-5 *2 (-2 (|:| |localSymbols| (-1087)) (|:| -2031 (-586 (-303))))) (-4 *1 (-412)))) ((*1 *1 *2) (-12 (-5 *2 (-303)) (-4 *1 (-412)))) ((*1 *1 *2) (-12 (-5 *2 (-586 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(|:| |fn| (-289 (-201))) - (|:| -2664 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) + (|:| -1667 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) (|:| |relerr| (-201)))) (-5 *1 (-704)))) ((*1 *2 *1) (-12 (-5 *2 (-791)) (-5 *1 (-704)))) @@ -10954,64 +11428,79 @@ (-12 (-5 *2 (-604 *3 *4)) (-4 *3 (-783)) (-4 *4 (-157)) (-5 *1 (-1182 *3 *4)))) ((*1 *1 *2) (-12 (-5 *1 (-1185 *3 *2)) (-4 *3 (-969)) (-4 *2 (-779))))) -(((*1 *2 *1 *3 *3 *4 *4) - (-12 (-5 *3 (-706)) (-5 *4 (-849)) (-5 *2 (-1169)) (-5 *1 (-1165)))) - ((*1 *2 *1 *3 *3 *4 *4) - (-12 (-5 *3 (-706)) (-5 *4 (-849)) (-5 *2 (-1169)) (-5 *1 (-1166))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-520)) (-4 *1 (-55 *4 *5 *2)) (-4 *4 (-1118)) - (-4 *5 (-346 *4)) (-4 *2 (-346 *4)))) - ((*1 *2 *1 *3) - (-12 (-5 *3 (-520)) (-4 *1 (-972 *4 *5 *6 *7 *2)) (-4 *6 (-969)) - (-4 *7 (-214 *5 *6)) (-4 *2 (-214 *4 *6))))) -(((*1 *2 *3 *4 *3 *5 *3) - (-12 (-5 *4 (-626 (-201))) (-5 *5 (-626 (-520))) (-5 *3 (-520)) - (-5 *2 (-958)) (-5 *1 (-690))))) -(((*1 *2 *3 *3 *3 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+12755,54 @@ ((*1 *2 *2) (-12 (-4 *3 (-13 (-424) (-783) (-960 (-520)) (-582 (-520)))) (-5 *1 (-1108 *3 *2)) (-4 *2 (-13 (-27) (-1104) (-403 *3)))))) -(((*1 *2) (-12 (-5 *2 (-1066)) (-5 *1 (-695))))) -(((*1 *2 *1 *2) (-12 (-5 *2 (-586 (-1066))) (-5 *1 (-367)))) - ((*1 *2 *1 *2) (-12 (-5 *2 (-586 (-1066))) (-5 *1 (-1099))))) -(((*1 *2 *3 *4 *4 *4 *4) - (-12 (-5 *4 (-201)) +(((*1 *2) + (-12 (-5 *2 (-849)) (-5 *1 (-414 *3)) (-4 *3 (-1140 (-520))))) + ((*1 *2 *2) + (-12 (-5 *2 (-849)) (-5 *1 (-414 *3)) (-4 *3 (-1140 (-520)))))) +(((*1 *1 *1) + (-12 (-4 *1 (-337 *2 *3)) (-4 *2 (-1012)) (-4 *3 (-1012))))) +(((*1 *2 *3 *4 *5) + (-12 (-5 *4 (-108)) + (-4 *6 (-13 (-424) (-783) (-960 (-520)) (-582 (-520)))) + (-4 *3 (-13 (-27) (-1104) (-403 *6) (-10 -8 (-15 -2188 ($ *7))))) + (-4 *7 (-781)) + (-4 *8 + (-13 (-1142 *3 *7) (-336) (-1104) + (-10 -8 (-15 -2155 ($ $)) (-15 -3517 ($ $))))) (-5 *2 - (-2 (|:| |brans| (-586 (-586 (-871 *4)))) - (|:| |xValues| (-1007 *4)) (|:| |yValues| (-1007 *4)))) - (-5 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+ (-12 (-5 *4 (-391 (-880 *6))) (-5 *5 (-1083)) (-5 *3 (-880 *6)) + (-4 *6 (-13 (-281) (-135))) (-5 *2 (-51)) (-5 *1 (-843 *6))))) (((*1 *1 *1) (-12 (-5 *1 (-312 *2 *3 *4)) (-14 *2 (-586 (-1083))) (-14 *3 (-586 (-1083))) (-4 *4 (-360)))) @@ -12247,13 +12812,16 @@ ((*1 *1 *2) (-12 (-5 *2 (-380 (-520))) (-4 *1 (-936)))) ((*1 *1 *1 *2) (-12 (-4 *1 (-936)) (-5 *2 (-706)))) ((*1 *1 *1) (-4 *1 (-936)))) -(((*1 *1 *2 *3 *4) - (-12 (-5 *2 (-1 (-1036 *4 *3 *5))) (-4 *4 (-37 (-380 (-520)))) - (-4 *4 (-969)) (-4 *3 (-783)) (-5 *1 (-1036 *4 *3 *5)) - (-4 *5 (-877 *4 (-492 *3) *3)))) - ((*1 *1 *2 *3 *4) - (-12 (-5 *2 (-1 (-1113 *4))) (-5 *3 (-1083)) (-5 *1 (-1113 *4)) - (-4 *4 (-37 (-380 (-520)))) (-4 *4 (-969))))) +(((*1 *1 *2 *3) + (-12 (-5 *1 (-589 *2 *3 *4)) (-4 *2 (-1012)) (-4 *3 (-23)) + (-14 *4 *3)))) +(((*1 *2) + (-12 (-4 *4 (-1122)) (-4 *5 (-1140 *4)) (-4 *6 (-1140 (-380 *5))) + (-5 *2 (-586 (-586 *4))) (-5 *1 (-314 *3 *4 *5 *6)) + (-4 *3 (-315 *4 *5 *6)))) + ((*1 *2) + (-12 (-4 *1 (-315 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(-380 *8))) (-4 *7 (-336)) (-4 *8 (-1140 *7)) + (-5 *3 (-380 *8)) + (-5 *2 + (-2 + (|:| |answer| + (-2 (|:| |mainpart| *3) + (|:| |limitedlogs| + (-586 (-2 (|:| |coeff| *3) (|:| |logand| *3)))))) + (|:| |a0| *7))) + (-5 *1 (-530 *7 *8))))) (((*1 *1 *2 *2 *3) (-12 (-5 *2 (-706)) (-4 *3 (-1118)) (-4 *1 (-55 *3 *4 *5)) (-4 *4 (-346 *3)) (-4 *5 (-346 *3)))) @@ -12848,41 +13494,24 @@ ((*1 *1) (-12 (-5 *1 (-1072 *2 *3)) (-14 *2 (-849)) (-4 *3 (-969)))) ((*1 *1 *1) (-5 *1 (-1083))) ((*1 *1) (-5 *1 (-1083))) ((*1 *1) (-5 *1 (-1099)))) -(((*1 *1 *2 *2 *3) (-12 (-5 *2 (-520)) (-5 *3 (-849)) (-5 *1 (-635)))) - ((*1 *2 *2 *2 *3 *4) - (-12 (-5 *2 (-626 *5)) (-5 *3 (-94 *5)) (-5 *4 (-1 *5 *5)) - (-4 *5 (-336)) (-5 *1 (-903 *5))))) -(((*1 *2) (-12 (-5 *2 (-586 (-849))) (-5 *1 (-1167)))) - ((*1 *2 *2) (-12 (-5 *2 (-586 (-849))) (-5 *1 (-1167))))) -(((*1 *2 *1 *1) - (-12 (-4 *3 (-512)) (-4 *3 (-969)) - (-5 *2 (-2 (|:| -3379 *1) (|:| -2016 *1))) (-4 *1 (-785 *3)))) - ((*1 *2 *3 *3 *4) - (-12 (-5 *4 (-94 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(((*1 *1 *2) - (-12 (-5 *2 (-586 (-2 (|:| -2534 *3) (|:| -3049 *4)))) + (-12 (-5 *2 (-586 (-2 (|:| -2526 *3) (|:| -3043 *4)))) (-4 *3 (-1012)) (-4 *4 (-1012)) (-4 *1 (-1095 *3 *4)))) ((*1 *1) (-12 (-4 *1 (-1095 *2 *3)) (-4 *2 (-1012)) (-4 *3 (-1012))))) -(((*1 *2 *3 *4 *4 *5) - (-12 (-5 *3 (-1066)) (-5 *4 (-520)) (-5 *5 (-626 (-201))) - (-5 *2 (-958)) (-5 *1 (-693))))) +(((*1 *2 *3 *2) + (-12 (-5 *2 (-1064 *3)) (-4 *3 (-336)) (-4 *3 (-969)) + (-5 *1 (-1068 *3))))) +(((*1 *2 *1) + (-12 (-5 *2 (-1014 *3)) (-5 *1 (-833 *3)) (-4 *3 (-341)) + (-4 *3 (-1012))))) (((*1 *2 *3) (-12 (-5 *3 (-704)) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| -2889 (-1066)) + (-2 (|:| -1796 (-352)) (|:| -2883 (-1066)) (|:| |explanations| (-586 (-1066))) (|:| |extra| (-958)))) (-5 *1 (-521)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-704)) (-5 *4 (-981)) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| -2889 (-1066)) + (-2 (|:| -1796 (-352)) (|:| -2883 (-1066)) (|:| |explanations| (-586 (-1066))) (|:| |extra| (-958)))) (-5 *1 (-521)))) ((*1 *2 *3 *4) (-12 (-4 *1 (-722)) (-5 *3 (-981)) (-5 *4 (-2 (|:| |fn| (-289 (-201))) - (|:| -2664 (-586 (-1007 (-776 (-201))))) (|:| |abserr| (-201)) + (|:| -1667 (-586 (-1007 (-776 (-201))))) (|:| |abserr| (-201)) (|:| |relerr| (-201)))) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| |explanations| (-1066)) + (-2 (|:| -1796 (-352)) (|:| |explanations| (-1066)) (|:| |extra| (-958)))))) ((*1 *2 *3 *4) (-12 (-4 *1 (-722)) (-5 *3 (-981)) (-5 *4 (-2 (|:| |var| (-1083)) (|:| |fn| (-289 (-201))) - (|:| -2664 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) + (|:| -1667 (-1007 (-776 (-201)))) (|:| |abserr| (-201)) (|:| |relerr| (-201)))) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| |explanations| (-1066)) + (-2 (|:| -1796 (-352)) (|:| |explanations| (-1066)) (|:| |extra| (-958)))))) ((*1 *2 *3 *4) (-12 (-4 *1 (-736)) (-5 *3 (-981)) @@ -12957,41 +13576,41 @@ (|:| |fn| (-1164 (-289 (-201)))) (|:| |yinit| (-586 (-201))) (|:| |intvals| (-586 (-201))) (|:| |g| (-289 (-201))) (|:| |abserr| (-201)) (|:| |relerr| (-201)))) - (-5 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(-352)) (|:| |explanations| (-1066)))))) + (-5 *2 (-2 (|:| -1796 (-352)) (|:| |explanations| (-1066)))))) ((*1 *2 *3) (-12 (-5 *3 (-774)) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| -2889 (-1066)) + (-2 (|:| -1796 (-352)) (|:| -2883 (-1066)) (|:| |explanations| (-586 (-1066))))) (-5 *1 (-773)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-774)) (-5 *4 (-981)) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| -2889 (-1066)) + (-2 (|:| -1796 (-352)) (|:| -2883 (-1066)) (|:| |explanations| (-586 (-1066))))) (-5 *1 (-773)))) ((*1 *2 *3 *4) @@ -13005,109 +13624,106 @@ (|:| |dStart| (-626 (-201))) (|:| |dFinish| (-626 (-201)))))) (|:| |f| (-586 (-586 (-289 (-201))))) (|:| |st| (-1066)) (|:| |tol| (-201)))) - (-5 *2 (-2 (|:| -1854 (-352)) (|:| |explanations| (-1066)))))) + (-5 *2 (-2 (|:| -1796 (-352)) (|:| |explanations| (-1066)))))) ((*1 *2 *3) (-12 (-5 *3 (-826)) (-5 *2 - (-2 (|:| -1854 (-352)) (|:| -2889 (-1066)) + (-2 (|:| -1796 (-352)) (|:| -2883 (-1066)) (|:| |explanations| (-586 (-1066))))) (-5 *1 (-825)))) ((*1 *2 *3 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+(((*1 *2 *3 *4 *5) + (-12 (-5 *5 (-108)) (-4 *4 (-13 (-336) (-781))) (-5 *2 (-391 *3)) + (-5 *1 (-164 *4 *3)) (-4 *3 (-1140 (-154 *4))))) + ((*1 *2 *3 *4) + (-12 (-4 *4 (-13 (-336) (-781))) (-5 *2 (-391 *3)) + (-5 *1 (-164 *4 *3)) (-4 *3 (-1140 (-154 *4)))))) (((*1 *2 *1) (-12 (-5 *2 (-586 (-1066))) (-5 *1 (-1099))))) (((*1 *2 *1) (-12 (-5 *2 (-586 (-104))) (-5 *1 (-159))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-380 (-880 *5))) (-5 *4 (-1083)) - (-4 *5 (-13 (-281) (-783) (-135))) (-5 *2 (-586 (-289 *5))) - (-5 *1 (-1039 *5)))) - ((*1 *2 *3 *4) - (-12 (-5 *3 (-586 (-380 (-880 *5)))) (-5 *4 (-586 (-1083))) - (-4 *5 (-13 (-281) (-783) (-135))) (-5 *2 (-586 (-586 (-289 *5)))) - (-5 *1 (-1039 *5))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-783) (-424))) (-5 *1 (-1110 *3 *2)) + (-4 *2 (-13 (-403 *3) (-1104)))))) (((*1 *2) (-12 (-14 *4 *2) (-4 *5 (-1118)) (-5 *2 (-706)) (-5 *1 (-213 *3 *4 *5)) (-4 *3 (-214 *4 *5)))) @@ -14174,37 +14634,45 @@ (-4 *5 (-728)) (-4 *3 (-783)) (-4 *2 (-983 *4 *5 *3)))) ((*1 *2 *1 *3) (-12 (-5 *3 (-706)) (-5 *1 (-1116 *2)) (-4 *2 (-1118))))) +(((*1 *2 *1) (-12 (-4 *1 (-917 *2)) (-4 *2 (-512)) (-4 *2 (-505)))) + ((*1 *1 *1) (-4 *1 (-978)))) +(((*1 *2 *3 *4) + (-12 (-4 *5 (-336)) + (-5 *2 + (-2 (|:| A (-626 *5)) + (|:| |eqs| + (-586 + (-2 (|:| C (-626 *5)) (|:| |g| (-1164 *5)) (|:| -3190 *6) + (|:| |rh| *5)))))) + (-5 *1 (-749 *5 *6)) (-5 *3 (-626 *5)) (-5 *4 (-1164 *5)) + (-4 *6 (-596 *5)))) + ((*1 *2 *3 *4) + (-12 (-4 *5 (-336)) (-4 *6 (-596 *5)) + (-5 *2 (-2 (|:| -3927 (-626 *6)) (|:| |vec| (-1164 *5)))) + (-5 *1 (-749 *5 *6)) (-5 *3 (-626 *6)) (-5 *4 (-1164 *5))))) +(((*1 *2 *2) + (-12 (-4 *3 (-13 (-783) (-512))) (-5 *1 (-251 *3 *2)) + (-4 *2 (-13 (-403 *3) (-926)))))) +(((*1 *1 *1 *1 *2) + (-12 (-4 *1 (-983 *3 *4 *2)) (-4 *3 (-969)) (-4 *4 (-728)) + (-4 *2 (-783)))) + ((*1 *1 *1 *1) + (-12 (-4 *1 (-983 *2 *3 *4)) (-4 *2 (-969)) (-4 *3 (-728)) + (-4 *4 (-783))))) (((*1 *2 *3 *4 *4 *4 *4 *5 *5) (-12 (-5 *3 (-1 (-352) (-352))) (-5 *4 (-352)) (-5 *2 - (-2 (|:| -3435 *4) (|:| -2973 *4) (|:| |totalpts| (-520)) + (-2 (|:| -3429 *4) (|:| -2967 *4) (|:| |totalpts| (-520)) (|:| |success| (-108)))) (-5 *1 (-724)) (-5 *5 (-520))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-1164 *1)) (-4 *1 (-340 *4)) (-4 *4 (-157)) - (-5 *2 (-626 *4)))) - ((*1 *2 *1) (-12 (-4 *1 (-390 *3)) (-4 *3 (-157)) (-5 *2 (-626 *3))))) -(((*1 *1 *1 *2) (-12 (-5 *2 (-1083)) (-5 *1 (-981))))) -(((*1 *2 *2 *2 *3) - (-12 (-5 *2 (-626 *3)) (-4 *3 (-969)) (-5 *1 (-627 *3))))) -(((*1 *1 *1 *1) (-4 *1 (-505)))) -(((*1 *2 *3 *3 *2 *4) - (-12 (-5 *3 (-626 *2)) (-5 *4 (-520)) - (-4 *2 (-13 (-281) (-10 -8 (-15 -2478 ((-391 $) $))))) - (-4 *5 (-1140 *2)) (-5 *1 (-467 *2 *5 *6)) (-4 *6 (-382 *2 *5))))) (((*1 *1 *2 *1) (-12 (-5 *2 (-1 (-108) *3)) (-4 *3 (-1118)) (-5 *1 (-550 *3)))) ((*1 *1 *2 *1) (-12 (-5 *2 (-1 (-108) *3)) (-4 *3 (-1118)) (-5 *1 (-1064 *3))))) -(((*1 *1 *1) - (-12 (-5 *1 (-545 *2)) (-4 *2 (-37 (-380 (-520)))) (-4 *2 (-969))))) -(((*1 *2 *3) - (-12 - (-5 *3 - (-2 (|:| |lfn| (-586 (-289 (-201)))) (|:| -3794 (-586 (-201))))) - (-5 *2 (-352)) (-5 *1 (-242)))) - ((*1 *2 *3) - (-12 (-5 *3 (-1164 (-289 (-201)))) (-5 *2 (-352)) (-5 *1 (-279))))) +(((*1 *2 *3 *4 *4 *3 *4 *5 *4 *4 *3 *3 *3 *3 *6 *3 *7) + (-12 (-5 *3 (-520)) (-5 *5 (-108)) (-5 *6 (-626 (-201))) + (-5 *7 (-3 (|:| |fn| (-361)) (|:| |fp| (-75 OBJFUN)))) + (-5 *4 (-201)) (-5 *2 (-958)) (-5 *1 (-689))))) (((*1 *1 *1 *2) (-12 (-4 *1 (-46 *2 *3)) (-4 *2 (-969)) (-4 *3 (-727)) (-4 *2 (-336)))) @@ -14258,36 +14726,27 @@ ((*1 *1 *1 *2) (-12 (-5 *1 (-1185 *2 *3)) (-4 *2 (-336)) (-4 *2 (-969)) (-4 *3 (-779))))) -(((*1 *2 *2 *2) - (-12 (-5 *2 (-1064 *3)) (-4 *3 (-969)) (-5 *1 (-1068 *3))))) -(((*1 *2 *2) - (-12 (-5 *2 (-110)) (-4 *3 (-13 (-783) (-512))) (-5 *1 (-31 *3 *4)) - (-4 *4 (-403 *3)))) - ((*1 *1 *2 *3) (-12 (-5 *2 (-1083)) (-5 *3 (-706)) (-5 *1 (-110)))) - ((*1 *1 *2) (-12 (-5 *2 (-1083)) (-5 *1 (-110)))) - ((*1 *2 *2) - (-12 (-5 *2 (-110)) (-4 *3 (-13 (-783) (-512))) (-5 *1 (-144 *3 *4)) - (-4 *4 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*1 *2 *3 *1 *3) + (-12 (-5 *2 (-820 *4)) (-4 *4 (-1012)) (-5 *1 (-817 *4 *3)) + (-4 *3 (-1012))))) +(((*1 *2 *3 *4 *5) + (-12 (-4 *6 (-1140 *9)) (-4 *7 (-728)) (-4 *8 (-783)) (-4 *9 (-281)) + (-4 *10 (-877 *9 *7 *8)) + (-5 *2 + (-2 (|:| |deter| (-586 (-1079 *10))) + (|:| |dterm| + (-586 (-586 (-2 (|:| -1552 (-706)) (|:| |pcoef| *10))))) + (|:| |nfacts| (-586 *6)) (|:| |nlead| (-586 *10)))) + (-5 *1 (-713 *6 *7 *8 *9 *10)) (-5 *3 (-1079 *10)) (-5 *4 (-586 *6)) + (-5 *5 (-586 *10))))) +(((*1 *2 *3) + (-12 (-5 *3 (-1083)) + (-4 *4 (-13 (-783) (-281) (-960 (-520)) (-582 (-520)) (-135))) + (-5 *2 (-1 *5 *5)) (-5 *1 (-740 *4 *5)) + (-4 *5 (-13 (-29 *4) (-1104) (-886)))))) (((*1 *2 *3 *4 *2) (-12 (-5 *4 (-1 *2 *2)) (-4 *2 (-588 *5)) (-4 *5 (-969)) (-5 *1 (-52 *5 *2 *3)) (-4 *3 (-785 *5)))) @@ -14301,19 +14760,17 @@ (-12 (-5 *2 (-1 (-108) *3)) (-4 *3 (-1118)) (-5 *1 (-550 *3)))) ((*1 *1 *2 *1) (-12 (-5 *2 (-1 (-108) *3)) (-4 *3 (-1118)) (-5 *1 (-1064 *3))))) -(((*1 *2 *3) - (-12 (-4 *4 (-322)) (-4 *5 (-302 *4)) (-4 *6 (-1140 *5)) - (-5 *2 (-586 *3)) (-5 *1 (-712 *4 *5 *6 *3 *7)) (-4 *3 (-1140 *6)) - (-14 *7 (-849))))) -(((*1 *2 *2) (-12 (-5 *2 (-289 (-201))) (-5 *1 (-188))))) +(((*1 *2 *3 *1) + (-12 (-4 *1 (-557 *3 *4)) (-4 *3 (-1012)) (-4 *4 (-1012)) + (-5 *2 (-108))))) (((*1 *1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1) (-4 *1 (-21))) ((*1 *1 *1 *1) (|partial| -5 *1 (-126))) ((*1 *1 *1 *1) (-12 (-5 *1 (-191 *2)) (-4 *2 (-13 (-783) - (-10 -8 (-15 -2549 ((-1066) $ (-1083))) (-15 -1714 ((-1169) $)) - (-15 -1210 ((-1169) $))))))) + (-10 -8 (-15 -2543 ((-1066) $ (-1083))) (-15 -1677 ((-1169) $)) + (-15 -3288 ((-1169) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-268 *2)) (-4 *2 (-21)) (-4 *2 (-1118)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-268 *2)) (-4 *2 (-21)) (-4 *2 (-1118)))) ((*1 *1 *1 *1) @@ -14343,20 +14800,20 @@ (-12 (-4 *1 (-1142 *3 *4)) (-4 *3 (-969)) (-4 *4 (-727)) (-5 *2 (-1083)))) ((*1 *2) (-12 (-5 *2 (-1083)) (-5 *1 (-1160 *3)) (-14 *3 *2)))) -(((*1 *2 *1) (-12 (-5 *2 (-586 (-586 (-201)))) (-5 *1 (-854))))) -(((*1 *2 *3 *4) - (-12 (-5 *3 (-201)) (-5 *4 (-520)) (-5 *2 (-958)) (-5 *1 (-694))))) +(((*1 *1 *1) + (-12 (-4 *1 (-983 *2 *3 *4)) (-4 *2 (-969)) (-4 *3 (-728)) + (-4 *4 (-783)) (-4 *2 (-424))))) +(((*1 *2 *1) (-12 (-5 *2 (-1169)) (-5 *1 (-758))))) (((*1 *1 *2 *2) (-12 (-5 *1 (-268 *2)) (-4 *2 (-1118)))) ((*1 *1 *2 *3) (-12 (-5 *2 (-1083)) (-5 *3 (-1066)) (-5 *1 (-914)))) ((*1 *1 *2 *3) (-12 (-5 *2 (-1083)) (-5 *3 (-1007 *4)) (-4 *4 (-1118)) (-5 *1 (-1005 *4))))) -(((*1 *2 *1 *3) - (-12 (-5 *3 (-1164 *1)) (-4 *1 (-340 *4)) (-4 *4 (-157)) - (-5 *2 (-626 *4)))) - ((*1 *2 *1) (-12 (-4 *1 (-390 *3)) (-4 *3 (-157)) (-5 *2 (-626 *3))))) -(((*1 *2 *1) (-12 (-5 *2 (-520)) (-5 *1 (-802)))) - ((*1 *2 *3) (-12 (-5 *3 (-871 *2)) (-5 *1 (-907 *2)) (-4 *2 (-969))))) +(((*1 *1) + (|partial| -12 (-4 *1 (-340 *2)) (-4 *2 (-512)) (-4 *2 (-157))))) +(((*1 *2 *3 *3) + (-12 (-5 *2 (-1064 (-586 (-520)))) (-5 *1 (-811)) + (-5 *3 (-586 (-520)))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-586 *2)) (-4 *2 (-1012)) (-4 *2 (-1118))))) (((*1 *2 *3 *4) @@ -14385,18 +14842,14 @@ ((*1 *2 *1) (-12 (-5 *2 (-1177 *3 *4)) (-5 *1 (-1186 *3 *4)) (-4 *3 (-783)) (-4 *4 (-969))))) -(((*1 *2 *1) - (-12 (-5 *2 (-791)) (-5 *1 (-1064 *3)) (-4 *3 (-1012)) - (-4 *3 (-1118))))) -(((*1 *1 *2) (-12 (-5 *2 (-802)) (-5 *1 (-238)))) - ((*1 *1 *2) (-12 (-5 *2 (-352)) (-5 *1 (-238))))) +(((*1 *2 *1) (-12 (-5 *2 (-896)) (-5 *1 (-833 *3)) (-4 *3 (-1012))))) (((*1 *1 *1 *1) (-4 *1 (-25))) ((*1 *1 *1 *1) (-5 *1 (-143))) ((*1 *1 *1 *1) (-12 (-5 *1 (-191 *2)) (-4 *2 (-13 (-783) - (-10 -8 (-15 -2549 ((-1066) $ (-1083))) (-15 -1714 ((-1169) $)) - (-15 -1210 ((-1169) $))))))) + (-10 -8 (-15 -2543 ((-1066) $ (-1083))) (-15 -1677 ((-1169) $)) + (-15 -3288 ((-1169) $))))))) ((*1 *1 *1 *2) (-12 (-5 *1 (-268 *2)) (-4 *2 (-25)) (-4 *2 (-1118)))) ((*1 *1 *2 *1) (-12 (-5 *1 (-268 *2)) (-4 *2 (-25)) (-4 *2 (-1118)))) ((*1 *1 *2 *1) @@ -14419,305 +14872,52 @@ (-12 (-5 *2 (-1064 *3)) (-4 *3 (-969)) (-5 *1 (-1068 *3)))) ((*1 *2 *2 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(|:| |badPols| (-586 *8)))) + (-5 *1 (-902 *5 *6 *7 *8)) (-5 *4 (-586 *8))))) +(((*1 *2 *1) + (-12 (-5 *2 (-586 (-520))) (-5 *1 (-928 *3)) (-14 *3 (-520))))) +(((*1 *2 *1) + (-12 (-5 *2 (-586 (-51))) (-5 *1 (-820 *3)) (-4 *3 (-1012))))) (((*1 *1 *1 *1) (-12 (-5 *1 (-586 *2)) (-4 *2 (-1012)) (-4 *2 (-1118))))) (((*1 *2 *3) (-12 (-5 *2 (-1 *3 *3)) (-5 *1 (-491 *3)) (-4 *3 (-13 (-662) (-25)))))) -(((*1 *1 *2) - (-12 (-5 *2 (-1 (-201) (-201) (-201) (-201))) (-5 *1 (-238)))) - ((*1 *1 *2) (-12 (-5 *2 (-1 (-201) (-201) (-201))) (-5 *1 (-238)))) - ((*1 *1 *2) (-12 (-5 *2 (-1 (-201) (-201))) (-5 *1 (-238))))) -(((*1 *2 *3) - (-12 (-5 *3 (-1 (-108) *6)) (-4 *6 (-13 (-1012) (-960 *5))) - (-4 *5 (-814 *4)) (-4 *4 (-1012)) (-5 *2 (-1 (-108) *5)) - (-5 *1 (-859 *4 *5 *6))))) -(((*1 *2 *3 *4) - (-12 (-5 *4 (-586 *3)) (-4 *3 (-1140 *5)) (-4 *5 (-281)) - (-5 *2 (-706)) (-5 *1 (-427 *5 *3))))) -(((*1 *2 *1) (-12 (-4 *1 (-1031 *2)) (-4 *2 (-1118))))) -(((*1 *2 *3) - (-12 (-5 *3 (-289 *4)) (-4 *4 (-13 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+ (-5 *1 (-684))))) (((*1 *2 *3) (-12 (-4 *5 (-13 (-561 *2) (-157))) (-5 *2 (-820 *4)) (-5 *1 (-155 *4 *5 *3)) (-4 *4 (-1012)) (-4 *3 (-151 *5)))) @@ -15558,7 +15699,7 @@ ((*1 *1 *2) (-3700 (-12 (-5 *2 (-880 (-520))) (-4 *1 (-983 *3 *4 *5)) - (-12 (-2415 (-4 *3 (-37 (-380 (-520))))) (-4 *3 (-37 (-520))) + (-12 (-2399 (-4 *3 (-37 (-380 (-520))))) (-4 *3 (-37 (-520))) (-4 *5 (-561 (-1083)))) (-4 *3 (-969)) (-4 *4 (-728)) (-4 *5 (-783))) (-12 (-5 *2 (-880 (-520))) (-4 *1 (-983 *3 *4 *5)) @@ -15569,7 +15710,7 @@ (-4 *3 (-37 (-380 (-520)))) (-4 *5 (-561 (-1083))) (-4 *3 (-969)) (-4 *4 (-728)) (-4 *5 (-783)))) ((*1 *2 *3) - (-12 (-5 *3 (-2 (|:| |val| (-586 *7)) (|:| -1943 *8))) + (-12 (-5 *3 (-2 (|:| |val| (-586 *7)) (|:| -1883 *8))) (-4 *7 (-983 *4 *5 *6)) (-4 *8 (-988 *4 *5 *6 *7)) (-4 *4 (-424)) (-4 *5 (-728)) (-4 *6 (-783)) (-5 *2 (-1066)) (-5 *1 (-986 *4 *5 *6 *7 *8)))) @@ -15594,7 +15735,7 @@ (-12 (-5 *2 (-586 *1)) (-4 *1 (-1015 *3 *4 *5 *6 *7)) (-4 *3 (-1012)) (-4 *4 (-1012)) (-4 *5 (-1012)) (-4 *6 (-1012)) (-4 *7 (-1012)))) ((*1 *2 *3) - (-12 (-5 *3 (-2 (|:| |val| (-586 *7)) (|:| -1943 *8))) + (-12 (-5 *3 (-2 (|:| |val| (-586 *7)) (|:| -1883 *8))) (-4 *7 (-983 *4 *5 *6)) (-4 *8 (-1021 *4 *5 *6 *7)) (-4 *4 (-424)) (-4 *5 (-728)) (-4 *6 (-783)) (-5 *2 (-1066)) (-5 *1 (-1053 *4 *5 *6 *7 *8)))) @@ -15626,32 +15767,29 @@ (-4 *4 (-13 (-781) (-281) (-135) (-945))) (-14 *6 (-586 (-1083))) (-5 *2 (-586 (-715 *4 (-793 *6)))) (-5 *1 (-1188 *4 *5 *6)) (-14 *5 (-586 (-1083)))))) -(((*1 *1) (-5 *1 (-410)))) (((*1 *1 *1) - (-12 (-4 *2 (-135)) (-4 *2 (-281)) (-4 *2 (-424)) (-4 *3 (-783)) - (-4 *4 (-728)) (-5 *1 (-912 *2 *3 *4 *5)) (-4 *5 (-877 *2 *4 *3)))) - ((*1 *2 *3) (-12 (-5 *3 (-47)) (-5 *2 (-289 (-520))) (-5 *1 (-1029)))) - ((*1 *2 *2) - (-12 (-4 *3 (-13 (-783) (-424))) (-5 *1 (-1110 *3 *2)) - (-4 *2 (-13 (-403 *3) (-1104)))))) -(((*1 *2 *1) - (-12 (-4 *1 (-302 *3)) (-4 *3 (-336)) (-4 *3 (-341)) - (-5 *2 (-1079 *3))))) -(((*1 *2 *2 *3 *3) - (-12 (-5 *2 (-626 *3)) (-4 *3 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*6)))) ((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 *6 *5)) - (-5 *4 (-3 (-2 (|:| -4127 *5) (|:| |coeff| *5)) "failed")) + (-5 *4 (-3 (-2 (|:| -4016 *5) (|:| |coeff| *5)) "failed")) (-4 *5 (-336)) (-4 *6 (-336)) - (-5 *2 (-2 (|:| -4127 *6) (|:| |coeff| *6))) + (-5 *2 (-2 (|:| -4016 *6) (|:| |coeff| *6))) (-5 *1 (-536 *5 *6)))) ((*1 *2 *3 *4) (|partial| -12 (-5 *3 (-1 *2 *5)) (-5 *4 (-3 *5 "failed")) @@ -16041,7 +16164,7 @@ (-4 *8 (-969)) (-4 *6 (-728)) (-4 *2 (-13 (-1012) - (-10 -8 (-15 -1627 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-706)))))) + (-10 -8 (-15 -1601 ($ $ $)) (-15 * ($ $ $)) (-15 ** ($ $ (-706)))))) (-5 *1 (-879 *6 *7 *8 *5 *2)) (-4 *5 (-877 *8 *6 *7)))) ((*1 *2 *3 *4) (-12 (-5 *3 (-1 *6 *5)) (-5 *4 (-885 *5)) (-4 *5 (-1118)) @@ -16054,8 +16177,8 @@ (-4 *2 (-877 (-880 *4) *5 *6)) (-4 *5 (-728)) (-4 *6 (-13 (-783) - (-10 -8 (-15 -1437 ((-1083) $)) - (-15 -1637 ((-3 $ "failed") (-1083)))))) + (-10 -8 (-15 -1429 ((-1083) $)) + (-15 -1610 ((-3 $ "failed") (-1083)))))) (-5 *1 (-909 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