diff --git a/books/bookvol10.2.pamphlet b/books/bookvol10.2.pamphlet index f06cbb2..6175142 100644 --- a/books/bookvol10.2.pamphlet +++ b/books/bookvol10.2.pamphlet @@ -107,6 +107,18 @@ digraph pic { \pagehead{AdditiveValuationAttribute}{ATADDVA} \pagepic{ps/v102additivevaluationattribute.eps}{ATADDVA}{1.00} \begin{chunk}{AdditiveValuationAttribute.input} +)set break resume +)sys rm -f AdditiveValuationAttribute.output +)spool AdditiveValuationAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) \end{chunk} \begin{chunk}{AdditiveValuationAttribute.help} ==================================================================== @@ -159,6 +171,19 @@ digraph pic { \pagehead{ApproximateAttribute}{ATAPPRO} \pagepic{ps/v102approximateattribute.eps}{ATAPPRO}{1.00} \begin{chunk}{ApproximateAttribute.input} +)set break resume +)sys rm -f ApproximateAttribute.output +)spool ApproximateAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{ApproximateAttribute.help} ==================================================================== @@ -209,6 +234,19 @@ digraph pic { \pagehead{ArbitraryExponentAttribute}{ATARBEX} \pagepic{ps/v102arbitraryexponentattribute.eps}{ATARBEX}{1.00} \begin{chunk}{ArbitraryExponentAttribute.input} +)set break resume +)sys rm -f ArbitraryExponentAttribute.output +)spool ArbitraryExponentAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{ArbitraryExponentAttribute.help} ==================================================================== @@ -259,6 +297,19 @@ digraph pic { \pagehead{ArbitraryPrecisionAttribute}{ATARBPR} \pagepic{ps/v102arbitraryprecisionattribute.eps}{ATARBPR}{1.00} \begin{chunk}{ArbitraryPrecisionAttribute.input} +)set break resume +)sys rm -f ArbitraryPrecisionAttribute.output +)spool ArbitraryPrecisionAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{ArbitraryPrecisionAttribute.help} ==================================================================== @@ -835,6 +886,19 @@ digraph pic { \pagehead{CanonicalAttribute}{ATCANON} \pagepic{ps/v102canonicalattribute.eps}{ATCANON}{1.00} \begin{chunk}{CanonicalAttribute.input} +)set break resume +)sys rm -f CanonicalAttribute.output +)spool CanonicalAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{CanonicalAttribute.help} ==================================================================== @@ -887,6 +951,18 @@ digraph pic { \pagehead{CanonicalClosedAttribute}{ATCANCL} \pagepic{ps/v102canonicalclosedattribute.eps}{ATCANCL}{1.00} \begin{chunk}{CanonicalClosedAttribute.input} +)set break resume +)sys rm -f CanonicalClosedAttribute.output +)spool CanonicalClosedAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) \end{chunk} \begin{chunk}{CanonicalClosedAttribute.help} ==================================================================== @@ -939,6 +1015,19 @@ digraph pic { \pagehead{CanonicalUnitNormalAttribute}{ATCUNOR} \pagepic{ps/v102canonicalunitnormalattribute.eps}{ATCUNOR}{1.00} \begin{chunk}{CanonicalUnitNormalAttribute.input} +)set break resume +)sys rm -f CanonicalUnitNormalAttribute.output +)spool CanonicalUnitNormalAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{CanonicalUnitNormalAttribute.help} ==================================================================== @@ -995,6 +1084,19 @@ digraph pic { \pagehead{CentralAttribute}{ATCENRL} \pagepic{ps/v102centralattribute.eps}{ATCENRL}{1.00} \begin{chunk}{CentralAttribute.input} +)set break resume +)sys rm -f CentralAttribute.output +)spool CentralAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{CentralAttribute.help} ==================================================================== @@ -1268,6 +1370,19 @@ digraph pic { \pagehead{CommutativeStarAttribute}{ATCS} \pagepic{ps/v102commutativestarattribute.eps}{ATCS}{1.00} \begin{chunk}{CommutativeStarAttribute.input} +)set break resume +)sys rm -f CommutativeStarAttribute.output +)spool CommutativeStarAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{CommutativeStarAttribute.help} ==================================================================== @@ -1702,6 +1817,19 @@ digraph pic { \pagehead{FiniteAggregateAttribute}{ATFINAG} \pagepic{ps/v102finiteaggregateattribute.eps}{ATFINAG}{1.00} \begin{chunk}{FiniteAggregateAttribute.input} +)set break resume +)sys rm -f FiniteAggregateAttribute.output +)spool FiniteAggregateAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{FiniteAggregateAttribute.help} ==================================================================== @@ -2016,6 +2144,19 @@ digraph pic { \pagehead{JacobiIdentityAttribute}{ATJACID} \pagepic{ps/v102jacobiidentityattribute.eps}{ATJACID}{1.00} \begin{chunk}{JacobiIdentityAttribute.input} +)set break resume +)sys rm -f JacobiIdentityAttribute.output +)spool JacobiIdentityAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{JacobiIdentityAttribute.help} ==================================================================== @@ -2068,6 +2209,19 @@ digraph pic { \pagehead{LazyRepresentationAttribute}{ATLR} \pagepic{ps/v102lazyrepresentationattribute.eps}{ATLR}{1.00} \begin{chunk}{LazyRepresentationAttribute.input} +)set break resume +)sys rm -f LazyRepresentationAttribute.output +)spool LazyRepresentationAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{LazyRepresentationAttribute.help} ==================================================================== @@ -2118,6 +2272,19 @@ digraph pic { \pagehead{LeftUnitaryAttribute}{ATLUNIT} \pagepic{ps/v102leftunitaryattribute.eps}{ATLUNIT}{1.00} \begin{chunk}{LeftUnitaryAttribute.input} +)set break resume +)sys rm -f LeftUnitaryAttribute.output +)spool LeftUnitaryAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{LeftUnitaryAttribute.help} ==================================================================== @@ -2316,6 +2483,19 @@ digraph pic { \pagehead{MultiplicativeValuationAttribute}{ATMULVA} \pagepic{ps/v102multiplicativevaluationattribute.eps}{ATMULVA}{1.00} \begin{chunk}{MultiplicativeValuationAttribute.input} +)set break resume +)sys rm -f MultiplicativeValuationAttribute.output +)spool MultiplicativeValuationAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{MultiplicativeValuationAttribute.help} ==================================================================== @@ -2368,6 +2548,19 @@ digraph pic { \pagehead{NotherianAttribute}{ATNOTHR} \pagepic{ps/v102notherianattribute.eps}{ATNOTHR}{1.00} \begin{chunk}{NotherianAttribute.input} +)set break resume +)sys rm -f NotherianAttribute.output +)spool NotherianAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{NotherianAttribute.help} ==================================================================== @@ -2418,6 +2611,19 @@ digraph pic { \pagehead{NoZeroDivisorsAttribute}{ATNZDIV} \pagepic{ps/v102nozerodivisorsattribute.eps}{ATNZDIV}{1.00} \begin{chunk}{NoZeroDivisorsAttribute.input} +)set break resume +)sys rm -f NoZeroDivisorsAttribute.output +)spool NoZeroDivisorsAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{NoZeroDivisorsAttribute.help} ==================================================================== @@ -2470,6 +2676,19 @@ digraph pic { \pagehead{NullSquareAttribute}{ATNULSQ} \pagepic{ps/v102nullsquareattribute.eps}{ATNULSQ}{1.00} \begin{chunk}{NullSquareAttribute.input} +)set break resume +)sys rm -f NullSquareAttribute.output +)spool NullSquareAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{NullSquareAttribute.help} ==================================================================== @@ -2629,6 +2848,19 @@ digraph pic { \pagehead{PartiallyOrderedSetAttribute}{ATPOSET} \pagepic{ps/v102partiallyorderedsetattribute.eps}{ATPOSET}{1.00} \begin{chunk}{PartiallyOrderedSetAttribute.input} +)set break resume +)sys rm -f PartiallyOrderedSetAttribute.output +)spool PartiallyOrderedSetAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{PartiallyOrderedSetAttribute.help} ==================================================================== @@ -3435,6 +3667,19 @@ digraph pic { \pagehead{RightUnitaryAttribute}{ATRUNIT} \pagepic{ps/v102rightunitaryattribute.eps}{ATRUNIT}{1.00} \begin{chunk}{RightUnitaryAttribute.input} +)set break resume +)sys rm -f RightUnitaryAttribute.output +)spool RightUnitaryAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{RightUnitaryAttribute.help} ==================================================================== @@ -3485,6 +3730,19 @@ digraph pic { \pagehead{ShallowlyMutableAttribute}{ATSHMUT} \pagepic{ps/v102shallowlymutableattribute.eps}{ATSHMUT}{1.00} \begin{chunk}{ShallowlyMutableAttribute.input} +)set break resume +)sys rm -f ShallowlyMutableAttribute.output +)spool ShallowlyMutableAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{ShallowlyMutableAttribute.help} ==================================================================== @@ -3881,6 +4139,19 @@ digraph pic { \pagehead{UnitsKnownAttribute}{ATUNIKN} \pagepic{ps/v102unitsknownattribute.eps}{ATUNIKN}{1.00} \begin{chunk}{UnitsKnownAttribute.input} +)set break resume +)sys rm -f UnitsKnownAttribute.output +)spool UnitsKnownAttribute.output +)set message test on +)set message auto off +)clear all + +--S 1 of 1 +1 +--E 1 +)spool +)lisp (bye) + \end{chunk} \begin{chunk}{UnitsKnownAttribute.help} ==================================================================== @@ -4263,7 +4534,7 @@ digraph pic { )show Comparable --R Comparable is a category constructor --R Abbreviation for Comparable is COMPAR ---R This constructor is not exposed in this frame. +--R This constructor is exposed in this frame. --R Issue )edit bookvol10.2.pamphlet to see algebra source code for COMPAR --R --R------------------------------- Operations -------------------------------- @@ -7918,10 +8189,10 @@ digraph pic { --R --R------------------------------- Operations -------------------------------- --R ?=? : (%,%) -> Boolean coerce : % -> OutputForm ---R hash : % -> SingleInteger index : PositiveInteger -> % ---R latex : % -> String lookup : % -> PositiveInteger ---R random : () -> % size : () -> NonNegativeInteger ---R ?~=? : (%,%) -> Boolean +--R enumerate : () -> List(%) hash : % -> SingleInteger +--R index : PositiveInteger -> % latex : % -> String +--R lookup : % -> PositiveInteger random : () -> % +--R size : () -> NonNegativeInteger ?~=? : (%,%) -> Boolean --R --E 1 @@ -15096,11 +15367,11 @@ digraph pic { --R ? Boolean ?<=? : (%,%) -> Boolean --R ?=? : (%,%) -> Boolean ?>? : (%,%) -> Boolean --R ?>=? : (%,%) -> Boolean coerce : % -> OutputForm ---R hash : % -> SingleInteger index : PositiveInteger -> % ---R latex : % -> String lookup : % -> PositiveInteger ---R max : (%,%) -> % min : (%,%) -> % ---R random : () -> % size : () -> NonNegativeInteger ---R ?~=? : (%,%) -> Boolean +--R enumerate : () -> List(%) hash : % -> SingleInteger +--R index : PositiveInteger -> % latex : % -> String +--R lookup : % -> PositiveInteger max : (%,%) -> % +--R min : (%,%) -> % random : () -> % +--R size : () -> NonNegativeInteger ?~=? : (%,%) -> Boolean --R --E 1 @@ -27804,7 +28075,6 @@ digraph pic { --S 1 of 1 )show FiniteSetAggregate ---R --R FiniteSetAggregate(S: SetCategory) is a category constructor --R Abbreviation for FiniteSetAggregate is FSAGG --R This constructor is exposed in this frame. @@ -27834,6 +28104,7 @@ digraph pic { --R convert : % -> InputForm if S has KONVERT(INFORM) --R count : (S,%) -> NonNegativeInteger if S has SETCAT and $ has finiteAggregate --R count : ((S -> Boolean),%) -> NonNegativeInteger if $ has finiteAggregate +--R enumerate : () -> List(%) if S has FINITE --R eval : (%,List(S),List(S)) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,S,S) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,Equation(S)) -> % if S has EVALAB(S) and S has SETCAT @@ -45055,6 +45326,7 @@ digraph pic { --R dimension : () -> CardinalNumber if R has FIELD --R dot : (%,%) -> R if R has RING --R entry? : (R,%) -> Boolean if $ has finiteAggregate and R has SETCAT +--R enumerate : () -> List(%) if R has FINITE --R eval : (%,List(R),List(R)) -> % if R has EVALAB(R) and R has SETCAT --R eval : (%,R,R) -> % if R has EVALAB(R) and R has SETCAT --R eval : (%,Equation(R)) -> % if R has EVALAB(R) and R has SETCAT @@ -47732,7 +48004,6 @@ digraph pic { --S 1 of 1 )show OctonionCategory ---R --R OctonionCategory(R: CommutativeRing) is a category constructor --R Abbreviation for OctonionCategory is OC --R This constructor is exposed in this frame. @@ -47770,6 +48041,7 @@ digraph pic { --R coerce : Fraction(Integer) -> % if R has RETRACT(FRAC(INT)) --R convert : % -> InputForm if R has KONVERT(INFORM) --R ?.? : (%,R) -> % if R has ELTAB(R,R) +--R enumerate : () -> List(%) if R has FINITE --R eval : (%,Symbol,R) -> % if R has IEVALAB(SYMBOL,R) --R eval : (%,List(Symbol),List(R)) -> % if R has IEVALAB(SYMBOL,R) --R eval : (%,List(Equation(R))) -> % if R has EVALAB(R) @@ -70478,7 +70750,6 @@ digraph pic { --S 1 of 1 )show FiniteFieldCategory ---R --R FiniteFieldCategory is a category constructor --R Abbreviation for FiniteFieldCategory is FFIELDC --R This constructor is exposed in this frame. @@ -70498,21 +70769,22 @@ digraph pic { --R coerce : Fraction(Integer) -> % coerce : % -> % --R coerce : Integer -> % coerce : % -> OutputForm --R createPrimitiveElement : () -> % differentiate : % -> % ---R factor : % -> Factored(%) gcd : List(%) -> % ---R gcd : (%,%) -> % hash : % -> SingleInteger ---R index : PositiveInteger -> % init : () -> % ---R inv : % -> % latex : % -> String ---R lcm : List(%) -> % lcm : (%,%) -> % ---R lookup : % -> PositiveInteger one? : % -> Boolean ---R order : % -> PositiveInteger prime? : % -> Boolean ---R primeFrobenius : % -> % primitive? : % -> Boolean ---R primitiveElement : () -> % ?quo? : (%,%) -> % ---R random : () -> % recip : % -> Union(%,"failed") ---R ?rem? : (%,%) -> % sample : () -> % ---R size : () -> NonNegativeInteger sizeLess? : (%,%) -> Boolean ---R squareFree : % -> Factored(%) squareFreePart : % -> % ---R unit? : % -> Boolean unitCanonical : % -> % ---R zero? : % -> Boolean ?~=? : (%,%) -> Boolean +--R enumerate : () -> List(%) factor : % -> Factored(%) +--R gcd : List(%) -> % gcd : (%,%) -> % +--R hash : % -> SingleInteger index : PositiveInteger -> % +--R init : () -> % inv : % -> % +--R latex : % -> String lcm : List(%) -> % +--R lcm : (%,%) -> % lookup : % -> PositiveInteger +--R one? : % -> Boolean order : % -> PositiveInteger +--R prime? : % -> Boolean primeFrobenius : % -> % +--R primitive? : % -> Boolean primitiveElement : () -> % +--R ?quo? : (%,%) -> % random : () -> % +--R recip : % -> Union(%,"failed") ?rem? : (%,%) -> % +--R sample : () -> % size : () -> NonNegativeInteger +--R sizeLess? : (%,%) -> Boolean squareFree : % -> Factored(%) +--R squareFreePart : % -> % unit? : % -> Boolean +--R unitCanonical : % -> % zero? : % -> Boolean +--R ?~=? : (%,%) -> Boolean --R ?*? : (NonNegativeInteger,%) -> % --R ?**? : (%,NonNegativeInteger) -> % --R ?^? : (%,NonNegativeInteger) -> % @@ -71877,7 +72149,6 @@ digraph pic { --S 1 of 1 )show PseudoAlgebraicClosureOfFiniteFieldCategory ---R --R PseudoAlgebraicClosureOfFiniteFieldCategory is a category constructor --R Abbreviation for PseudoAlgebraicClosureOfFiniteFieldCategory is PACFFC --R This constructor is exposed in this frame. @@ -71897,25 +72168,26 @@ digraph pic { --R coerce : Fraction(Integer) -> % coerce : % -> % --R coerce : Integer -> % coerce : % -> OutputForm --R conjugate : % -> % createPrimitiveElement : () -> % ---R differentiate : % -> % extDegree : % -> PositiveInteger ---R factor : % -> Factored(%) fullOutput : % -> OutputForm ---R gcd : List(%) -> % gcd : (%,%) -> % ---R ground? : % -> Boolean hash : % -> SingleInteger ---R index : PositiveInteger -> % init : () -> % ---R inv : % -> % latex : % -> String ---R lcm : List(%) -> % lcm : (%,%) -> % ---R lookup : % -> PositiveInteger maxTower : List(%) -> % ---R one? : % -> Boolean order : % -> PositiveInteger ---R previousTower : % -> % prime? : % -> Boolean ---R primeFrobenius : % -> % primitive? : % -> Boolean ---R primitiveElement : () -> % ?quo? : (%,%) -> % ---R random : () -> % recip : % -> Union(%,"failed") ---R ?rem? : (%,%) -> % sample : () -> % ---R setTower! : % -> Void size : () -> NonNegativeInteger ---R sizeLess? : (%,%) -> Boolean squareFree : % -> Factored(%) ---R squareFreePart : % -> % unit? : % -> Boolean ---R unitCanonical : % -> % vectorise : (%,%) -> Vector(%) ---R zero? : % -> Boolean ?~=? : (%,%) -> Boolean +--R differentiate : % -> % enumerate : () -> List(%) +--R extDegree : % -> PositiveInteger factor : % -> Factored(%) +--R fullOutput : % -> OutputForm gcd : List(%) -> % +--R gcd : (%,%) -> % ground? : % -> Boolean +--R hash : % -> SingleInteger index : PositiveInteger -> % +--R init : () -> % inv : % -> % +--R latex : % -> String lcm : List(%) -> % +--R lcm : (%,%) -> % lookup : % -> PositiveInteger +--R maxTower : List(%) -> % one? : % -> Boolean +--R order : % -> PositiveInteger previousTower : % -> % +--R prime? : % -> Boolean primeFrobenius : % -> % +--R primitive? : % -> Boolean primitiveElement : () -> % +--R ?quo? : (%,%) -> % random : () -> % +--R recip : % -> Union(%,"failed") ?rem? : (%,%) -> % +--R sample : () -> % setTower! : % -> Void +--R size : () -> NonNegativeInteger sizeLess? : (%,%) -> Boolean +--R squareFree : % -> Factored(%) squareFreePart : % -> % +--R unit? : % -> Boolean unitCanonical : % -> % +--R vectorise : (%,%) -> Vector(%) zero? : % -> Boolean +--R ?~=? : (%,%) -> Boolean --R ?*? : (NonNegativeInteger,%) -> % --R ?**? : (%,NonNegativeInteger) -> % --R ?^? : (%,NonNegativeInteger) -> % @@ -73756,7 +74028,6 @@ digraph pic { --S 1 of 1 )show FiniteAlgebraicExtensionField ---R --R FiniteAlgebraicExtensionField(F: Field) is a category constructor --R Abbreviation for FiniteAlgebraicExtensionField is FAXF --R This constructor is exposed in this frame. @@ -73813,6 +74084,7 @@ digraph pic { --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if F has CHARNZ or F has FINITE --R discreteLog : % -> NonNegativeInteger if F has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if F has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -74570,7 +74842,6 @@ digraph pic { --S 1 of 1 )show MonogenicAlgebra ---R --R MonogenicAlgebra(R: CommutativeRing,UP: UnivariatePolynomialCategory(t#1)) is a category constructor --R Abbreviation for MonogenicAlgebra is MONOGEN --R This constructor is exposed in this frame. @@ -74638,6 +74909,7 @@ digraph pic { --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if R has FFIELDC --R discreteLog : % -> NonNegativeInteger if R has FFIELDC --R divide : (%,%) -> Record(quotient: %,remainder: %) if R has FIELD +--R enumerate : () -> List(%) if R has FINITE --R euclideanSize : % -> NonNegativeInteger if R has FIELD --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") if R has FIELD --R exquo : (%,%) -> Union(%,"failed") if R has FIELD @@ -75607,7 +75879,6 @@ digraph pic { --S 1 of 1 )show ComplexCategory ---R --R ComplexCategory(R: CommutativeRing) is a category constructor --R Abbreviation for ComplexCategory is COMPCAT --R This constructor is exposed in this frame. @@ -75710,6 +75981,7 @@ digraph pic { --R discreteLog : % -> NonNegativeInteger if R has FFIELDC --R divide : (%,%) -> Record(quotient: %,remainder: %) if R has EUCDOM --R ?.? : (%,R) -> % if R has ELTAB(R,R) +--R enumerate : () -> List(%) if R has FINITE --R euclideanSize : % -> NonNegativeInteger if R has EUCDOM --R eval : (%,Symbol,R) -> % if R has IEVALAB(SYMBOL,R) --R eval : (%,List(Symbol),List(R)) -> % if R has IEVALAB(SYMBOL,R) @@ -76750,7 +77022,6 @@ digraph pic { --S 1 of 1 )show FunctionFieldCategory ---R --R FunctionFieldCategory(F: UniqueFactorizationDomain,UP: UnivariatePolynomialCategory(t#1),UPUP: UnivariatePolynomialCategory(Fraction(t#2))) is a category constructor --R Abbreviation for FunctionFieldCategory is FFCAT --R This constructor is exposed in this frame. @@ -76832,6 +77103,7 @@ digraph pic { --R discriminant : Vector(%) -> Fraction(UP) --R divide : (%,%) -> Record(quotient: %,remainder: %) if Fraction(UP) has FIELD --R elliptic : () -> Union(UP,"failed") +--R enumerate : () -> List(%) if Fraction(UP) has FINITE --R euclideanSize : % -> NonNegativeInteger if Fraction(UP) has FIELD --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") if Fraction(UP) has FIELD --R exquo : (%,%) -> Union(%,"failed") if Fraction(UP) has FIELD diff --git a/books/bookvol10.3.pamphlet b/books/bookvol10.3.pamphlet index cd0bff6..9a3888f 100644 --- a/books/bookvol10.3.pamphlet +++ b/books/bookvol10.3.pamphlet @@ -1059,6 +1059,7 @@ AlgebraGivenByStructuralConstants(R:Field, n : PositiveInteger,_ --R discriminant : Vector(%) -> Fraction(UP) --R divide : (%,%) -> Record(quotient: %,remainder: %) if Fraction(UP) has FIELD --R elliptic : () -> Union(UP,"failed") +--R enumerate : () -> List(%) if Fraction(UP) has FINITE --R euclideanSize : % -> NonNegativeInteger if Fraction(UP) has FIELD --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") if Fraction(UP) has FIELD --R exquo : (%,%) -> Union(%,"failed") if Fraction(UP) has FIELD @@ -15075,16 +15076,17 @@ BlowUpWithQuadTrans: Exports == Implementation where --R ?>? : (%,%) -> Boolean ?>=? : (%,%) -> Boolean --R ?\/? : (%,%) -> % ^? : % -> % --R ?and? : (%,%) -> % coerce : % -> OutputForm ---R convert : % -> InputForm false : () -> % ---R hash : % -> SingleInteger implies : (%,%) -> % ---R index : PositiveInteger -> % latex : % -> String ---R lookup : % -> PositiveInteger max : (%,%) -> % ---R min : (%,%) -> % nand : (%,%) -> % ---R nor : (%,%) -> % not? : % -> % ---R ?or? : (%,%) -> % random : () -> % ---R size : () -> NonNegativeInteger test : % -> Boolean ---R true : () -> % xor : (%,%) -> % ---R ~? : % -> % ?~=? : (%,%) -> Boolean +--R convert : % -> InputForm enumerate : () -> List(%) +--R false : () -> % hash : % -> SingleInteger +--R implies : (%,%) -> % index : PositiveInteger -> % +--R latex : % -> String lookup : % -> PositiveInteger +--R max : (%,%) -> % min : (%,%) -> % +--R nand : (%,%) -> % nor : (%,%) -> % +--R not? : % -> % ?or? : (%,%) -> % +--R random : () -> % size : () -> NonNegativeInteger +--R test : % -> Boolean true : () -> % +--R xor : (%,%) -> % ~? : % -> % +--R ?~=? : (%,%) -> Boolean --R --E 1 @@ -26578,7 +26580,6 @@ DifferentialSparseMultivariatePolynomial(R, S, V): --S 1 of 1 )show DirectProduct ---R --R DirectProduct(dim: NonNegativeInteger,R: Type) is a domain constructor --R Abbreviation for DirectProduct is DIRPROD --R This constructor is not exposed in this frame. @@ -26641,6 +26642,7 @@ DifferentialSparseMultivariatePolynomial(R, S, V): --R dimension : () -> CardinalNumber if R has FIELD --R dot : (%,%) -> R if R has RING --R entry? : (R,%) -> Boolean if $ has finiteAggregate and R has SETCAT +--R enumerate : () -> List(%) if R has FINITE --R eval : (%,List(R),List(R)) -> % if R has EVALAB(R) and R has SETCAT --R eval : (%,R,R) -> % if R has EVALAB(R) and R has SETCAT --R eval : (%,Equation(R)) -> % if R has EVALAB(R) and R has SETCAT @@ -26908,7 +26910,6 @@ DirectProduct(dim:NonNegativeInteger, R:Type): --S 1 of 1 )show DirectProductMatrixModule ---R --R DirectProductMatrixModule(n: PositiveInteger,R: Ring,M: SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),S: LeftModule(R)) is a domain constructor --R Abbreviation for DirectProductMatrixModule is DPMM --R This constructor is not exposed in this frame. @@ -26971,6 +26972,7 @@ DirectProduct(dim:NonNegativeInteger, R:Type): --R dimension : () -> CardinalNumber if S has FIELD --R dot : (%,%) -> S if S has RING --R entry? : (S,%) -> Boolean if $ has finiteAggregate and S has SETCAT +--R enumerate : () -> List(%) if S has FINITE --R eval : (%,List(S),List(S)) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,S,S) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,Equation(S)) -> % if S has EVALAB(S) and S has SETCAT @@ -27163,7 +27165,6 @@ DirectProductMatrixModule(n, R, M, S): DPcategory == DPcapsule where --S 1 of 1 )show DirectProductModule ---R --R DirectProductModule(n: NonNegativeInteger,R: Ring,S: LeftModule(R)) is a domain constructor --R Abbreviation for DirectProductModule is DPMO --R This constructor is not exposed in this frame. @@ -27226,6 +27227,7 @@ DirectProductMatrixModule(n, R, M, S): DPcategory == DPcapsule where --R dimension : () -> CardinalNumber if S has FIELD --R dot : (%,%) -> S if S has RING --R entry? : (S,%) -> Boolean if $ has finiteAggregate and S has SETCAT +--R enumerate : () -> List(%) if S has FINITE --R eval : (%,List(S),List(S)) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,S,S) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,Equation(S)) -> % if S has EVALAB(S) and S has SETCAT @@ -39822,7 +39824,6 @@ FiniteDivisor(F, UP, UPUP, R): Exports == Implementation where --S 1 of 1 )show FiniteField ---R --R FiniteField(p: PositiveInteger,n: PositiveInteger) is a domain constructor --R Abbreviation for FiniteField is FF --R This constructor is exposed in this frame. @@ -39880,6 +39881,7 @@ FiniteDivisor(F, UP, UPUP, R): Exports == Implementation where --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if PrimeField(p) has CHARNZ or PrimeField(p) has FINITE --R discreteLog : % -> NonNegativeInteger if PrimeField(p) has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if PrimeField(p) has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -40081,7 +40083,6 @@ FiniteField(p:PositiveInteger, n:PositiveInteger): _ --S 1 of 1 )show FiniteFieldCyclicGroup ---R --R FiniteFieldCyclicGroup(p: PositiveInteger,extdeg: PositiveInteger) is a domain constructor --R Abbreviation for FiniteFieldCyclicGroup is FFCG --R This constructor is exposed in this frame. @@ -40139,6 +40140,7 @@ FiniteField(p:PositiveInteger, n:PositiveInteger): _ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if PrimeField(p) has CHARNZ or PrimeField(p) has FINITE --R discreteLog : % -> NonNegativeInteger if PrimeField(p) has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if PrimeField(p) has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -40354,7 +40356,6 @@ FiniteFieldCyclicGroup(p,extdeg):_ --S 1 of 1 )show FiniteFieldCyclicGroupExtension ---R --R FiniteFieldCyclicGroupExtension(GF: FiniteFieldCategory,extdeg: PositiveInteger) is a domain constructor --R Abbreviation for FiniteFieldCyclicGroupExtension is FFCGX --R This constructor is not exposed in this frame. @@ -40411,6 +40412,7 @@ FiniteFieldCyclicGroup(p,extdeg):_ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if GF has CHARNZ or GF has FINITE --R discreteLog : % -> NonNegativeInteger if GF has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if GF has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -40627,7 +40629,6 @@ FiniteFieldCyclicGroupExtension(GF,extdeg):_ --S 1 of 1 )show FiniteFieldCyclicGroupExtensionByPolynomial ---R --R FiniteFieldCyclicGroupExtensionByPolynomial(GF: FiniteFieldCategory,defpol: SparseUnivariatePolynomial(GF)) is a domain constructor --R Abbreviation for FiniteFieldCyclicGroupExtensionByPolynomial is FFCGP --R This constructor is not exposed in this frame. @@ -40684,6 +40685,7 @@ FiniteFieldCyclicGroupExtension(GF,extdeg):_ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if GF has CHARNZ or GF has FINITE --R discreteLog : % -> NonNegativeInteger if GF has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if GF has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -41167,7 +41169,6 @@ FiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol):_ --S 1 of 1 )show FiniteFieldExtension ---R --R FiniteFieldExtension(GF: FiniteFieldCategory,n: PositiveInteger) is a domain constructor --R Abbreviation for FiniteFieldExtension is FFX --R This constructor is not exposed in this frame. @@ -41224,6 +41225,7 @@ FiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol):_ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if GF has CHARNZ or GF has FINITE --R discreteLog : % -> NonNegativeInteger if GF has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if GF has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -41427,7 +41429,6 @@ FiniteFieldExtension(GF, n): Exports == Implementation where --S 1 of 1 )show FiniteFieldExtensionByPolynomial ---R --R FiniteFieldExtensionByPolynomial(GF: FiniteFieldCategory,defpol: SparseUnivariatePolynomial(GF)) is a domain constructor --R Abbreviation for FiniteFieldExtensionByPolynomial is FFP --R This constructor is not exposed in this frame. @@ -41484,6 +41485,7 @@ FiniteFieldExtension(GF, n): Exports == Implementation where --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if GF has CHARNZ or GF has FINITE --R discreteLog : % -> NonNegativeInteger if GF has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if GF has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -41887,7 +41889,6 @@ FiniteFieldExtensionByPolynomial(GF:FiniteFieldCategory,_ --S 1 of 1 )show FiniteFieldNormalBasis ---R --R FiniteFieldNormalBasis(p: PositiveInteger,extdeg: PositiveInteger) is a domain constructor --R Abbreviation for FiniteFieldNormalBasis is FFNB --R This constructor is exposed in this frame. @@ -41945,6 +41946,7 @@ FiniteFieldExtensionByPolynomial(GF:FiniteFieldCategory,_ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if PrimeField(p) has CHARNZ or PrimeField(p) has FINITE --R discreteLog : % -> NonNegativeInteger if PrimeField(p) has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if PrimeField(p) has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -42172,7 +42174,6 @@ FiniteFieldNormalBasis(p,extdeg):_ --S 1 of 1 )show FiniteFieldNormalBasisExtension ---R --R FiniteFieldNormalBasisExtension(GF: FiniteFieldCategory,extdeg: PositiveInteger) is a domain constructor --R Abbreviation for FiniteFieldNormalBasisExtension is FFNBX --R This constructor is not exposed in this frame. @@ -42229,6 +42230,7 @@ FiniteFieldNormalBasis(p,extdeg):_ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if GF has CHARNZ or GF has FINITE --R discreteLog : % -> NonNegativeInteger if GF has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if GF has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -42456,7 +42458,6 @@ FiniteFieldNormalBasisExtension(GF,extdeg):_ --S 1 of 1 )show FiniteFieldNormalBasisExtensionByPolynomial ---R --R FiniteFieldNormalBasisExtensionByPolynomial(GF: FiniteFieldCategory,uni: Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value: GF,index: SingleInteger))))) is a domain constructor --R Abbreviation for FiniteFieldNormalBasisExtensionByPolynomial is FFNBP --R This constructor is not exposed in this frame. @@ -42513,6 +42514,7 @@ FiniteFieldNormalBasisExtension(GF,extdeg):_ --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if GF has CHARNZ or GF has FINITE --R discreteLog : % -> NonNegativeInteger if GF has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if GF has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -57239,7 +57241,6 @@ HTMLFormat(): public == private where --S 1 of 1 )show HomogeneousDirectProduct ---R --R HomogeneousDirectProduct(dim: NonNegativeInteger,S: OrderedAbelianMonoidSup) is a domain constructor --R Abbreviation for HomogeneousDirectProduct is HDP --R This constructor is not exposed in this frame. @@ -57302,6 +57303,7 @@ HTMLFormat(): public == private where --R dimension : () -> CardinalNumber if S has FIELD --R dot : (%,%) -> S if S has RING --R entry? : (S,%) -> Boolean if $ has finiteAggregate and S has SETCAT +--R enumerate : () -> List(%) if S has FINITE --R eval : (%,List(S),List(S)) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,S,S) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,Equation(S)) -> % if S has EVALAB(S) and S has SETCAT @@ -62685,7 +62687,6 @@ InnerAlgebraicNumber(): Exports == Implementation where --S 1 of 1 )show InnerFiniteField ---R --R InnerFiniteField(p: PositiveInteger,n: PositiveInteger) is a domain constructor --R Abbreviation for InnerFiniteField is IFF --R This constructor is not exposed in this frame. @@ -62744,6 +62745,7 @@ InnerAlgebraicNumber(): Exports == Implementation where --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if InnerPrimeField(p) has CHARNZ or InnerPrimeField(p) has FINITE --R discreteLog : % -> NonNegativeInteger if InnerPrimeField(p) has FINITE --R divide : (%,%) -> Record(quotient: %,remainder: %) +--R enumerate : () -> List(%) if InnerPrimeField(p) has FINITE --R euclideanSize : % -> NonNegativeInteger --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") --R exquo : (%,%) -> Union(%,"failed") @@ -63674,7 +63676,6 @@ InnerPAdicInteger(p,unBalanced?): Exports == Implementation where --S 1 of 1 )show InnerPrimeField ---R --R InnerPrimeField(p: PositiveInteger) is a domain constructor --R Abbreviation for InnerPrimeField is IPF --R This constructor is not exposed in this frame. @@ -63697,24 +63698,25 @@ InnerPAdicInteger(p,unBalanced?): Exports == Implementation where --R convert : % -> Integer coordinates : % -> Vector(%) --R createPrimitiveElement : () -> % degree : % -> PositiveInteger --R differentiate : % -> % dimension : () -> CardinalNumber ---R factor : % -> Factored(%) gcd : List(%) -> % ---R gcd : (%,%) -> % hash : % -> SingleInteger ---R inGroundField? : % -> Boolean index : PositiveInteger -> % ---R init : () -> % inv : % -> % ---R latex : % -> String lcm : List(%) -> % ---R lcm : (%,%) -> % lookup : % -> PositiveInteger ---R norm : % -> % one? : % -> Boolean ---R order : % -> PositiveInteger prime? : % -> Boolean ---R primeFrobenius : % -> % primitive? : % -> Boolean ---R primitiveElement : () -> % ?quo? : (%,%) -> % ---R random : () -> % recip : % -> Union(%,"failed") ---R ?rem? : (%,%) -> % represents : Vector(%) -> % ---R retract : % -> % sample : () -> % ---R size : () -> NonNegativeInteger sizeLess? : (%,%) -> Boolean ---R squareFree : % -> Factored(%) squareFreePart : % -> % ---R trace : % -> % transcendent? : % -> Boolean ---R unit? : % -> Boolean unitCanonical : % -> % ---R zero? : % -> Boolean ?~=? : (%,%) -> Boolean +--R enumerate : () -> List(%) factor : % -> Factored(%) +--R gcd : List(%) -> % gcd : (%,%) -> % +--R hash : % -> SingleInteger inGroundField? : % -> Boolean +--R index : PositiveInteger -> % init : () -> % +--R inv : % -> % latex : % -> String +--R lcm : List(%) -> % lcm : (%,%) -> % +--R lookup : % -> PositiveInteger norm : % -> % +--R one? : % -> Boolean order : % -> PositiveInteger +--R prime? : % -> Boolean primeFrobenius : % -> % +--R primitive? : % -> Boolean primitiveElement : () -> % +--R ?quo? : (%,%) -> % random : () -> % +--R recip : % -> Union(%,"failed") ?rem? : (%,%) -> % +--R represents : Vector(%) -> % retract : % -> % +--R sample : () -> % size : () -> NonNegativeInteger +--R sizeLess? : (%,%) -> Boolean squareFree : % -> Factored(%) +--R squareFreePart : % -> % trace : % -> % +--R transcendent? : % -> Boolean unit? : % -> Boolean +--R unitCanonical : % -> % zero? : % -> Boolean +--R ?~=? : (%,%) -> Boolean --R ?*? : (NonNegativeInteger,%) -> % --R ?**? : (%,NonNegativeInteger) -> % --R Frobenius : % -> % if $ has FINITE @@ -67066,7 +67068,6 @@ Integer: Join(IntegerNumberSystem, ConvertibleTo String, OpenMath) with --S 1 of 1 )show IntegerMod ---R --R IntegerMod(p: PositiveInteger) is a domain constructor --R Abbreviation for IntegerMod is ZMOD --R This constructor is not exposed in this frame. @@ -67080,12 +67081,13 @@ Integer: Join(IntegerNumberSystem, ConvertibleTo String, OpenMath) with --R 1 : () -> % 0 : () -> % --R ?^? : (%,PositiveInteger) -> % coerce : Integer -> % --R coerce : % -> OutputForm convert : % -> Integer ---R hash : % -> SingleInteger index : PositiveInteger -> % ---R init : () -> % latex : % -> String ---R lookup : % -> PositiveInteger one? : % -> Boolean ---R random : () -> % recip : % -> Union(%,"failed") ---R sample : () -> % size : () -> NonNegativeInteger ---R zero? : % -> Boolean ?~=? : (%,%) -> Boolean +--R enumerate : () -> List(%) hash : % -> SingleInteger +--R index : PositiveInteger -> % init : () -> % +--R latex : % -> String lookup : % -> PositiveInteger +--R one? : % -> Boolean random : () -> % +--R recip : % -> Union(%,"failed") sample : () -> % +--R size : () -> NonNegativeInteger zero? : % -> Boolean +--R ?~=? : (%,%) -> Boolean --R ?*? : (NonNegativeInteger,%) -> % --R ?**? : (%,NonNegativeInteger) -> % --R ?^? : (%,NonNegativeInteger) -> % @@ -75285,7 +75287,6 @@ LyndonWord(VarSet:OrderedSet):Public == Private where --S 1 of 1 )show MachineComplex ---R --R MachineComplex is a domain constructor --R Abbreviation for MachineComplex is MCMPLX --R This constructor is exposed in this frame. @@ -75393,6 +75394,7 @@ LyndonWord(VarSet:OrderedSet):Public == Private where --R discriminant : Vector(%) -> MachineFloat --R divide : (%,%) -> Record(quotient: %,remainder: %) if MachineFloat has EUCDOM --R ?.? : (%,MachineFloat) -> % if MachineFloat has ELTAB(MFLOAT,MFLOAT) +--R enumerate : () -> List(%) if MachineFloat has FINITE --R euclideanSize : % -> NonNegativeInteger if MachineFloat has EUCDOM --R eval : (%,List(MachineFloat),List(MachineFloat)) -> % if MachineFloat has EVALAB(MFLOAT) --R eval : (%,MachineFloat,MachineFloat) -> % if MachineFloat has EVALAB(MFLOAT) @@ -79876,7 +79878,6 @@ Matrix(R): Exports == Implementation where --S 1 of 1 )show ModMonic ---R --R ModMonic(R: Ring,Rep: UnivariatePolynomialCategory(R)) is a domain constructor --R Abbreviation for ModMonic is MODMON --R This constructor is not exposed in this frame. @@ -79969,6 +79970,7 @@ Matrix(R): Exports == Implementation where --R ?.? : (%,Fraction(%)) -> Fraction(%) if R has INTDOM --R elt : (Fraction(%),R) -> R if R has FIELD --R elt : (Fraction(%),Fraction(%)) -> Fraction(%) if R has INTDOM +--R enumerate : () -> List(%) if R has FINITE --R euclideanSize : % -> NonNegativeInteger if R has FIELD --R eval : (%,List(SingletonAsOrderedSet),List(%)) -> % --R eval : (%,SingletonAsOrderedSet,%) -> % @@ -81394,7 +81396,6 @@ MoebiusTransform(F): Exports == Implementation where --S 1 of 1 )show MonoidRing ---R --R MonoidRing(R: Ring,M: Monoid) is a domain constructor --R Abbreviation for MonoidRing is MRING --R This constructor is not exposed in this frame. @@ -81424,6 +81425,7 @@ MoebiusTransform(F): Exports == Implementation where --R characteristic : () -> NonNegativeInteger --R charthRoot : % -> Union(%,"failed") if R has CHARNZ --R coerce : List(Record(coef: R,monom: M)) -> % +--R enumerate : () -> List(%) if M has FINITE and R has FINITE --R index : PositiveInteger -> % if M has FINITE and R has FINITE --R leadingCoefficient : % -> R if M has ORDSET --R leadingMonomial : % -> M if M has ORDSET @@ -89081,7 +89083,6 @@ OrderedCompletion(R:SetCategory): Exports == Implementation where --S 1 of 1 )show OrderedDirectProduct ---R --R OrderedDirectProduct(dim: NonNegativeInteger,S: OrderedAbelianMonoidSup,f: ((Vector(S),Vector(S)) -> Boolean)) is a domain constructor --R Abbreviation for OrderedDirectProduct is ODP --R This constructor is not exposed in this frame. @@ -89144,6 +89145,7 @@ OrderedCompletion(R:SetCategory): Exports == Implementation where --R dimension : () -> CardinalNumber if S has FIELD --R dot : (%,%) -> S if S has RING --R entry? : (S,%) -> Boolean if $ has finiteAggregate and S has SETCAT +--R enumerate : () -> List(%) if S has FINITE --R eval : (%,List(S),List(S)) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,S,S) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,Equation(S)) -> % if S has EVALAB(S) and S has SETCAT @@ -103217,7 +103219,6 @@ PositiveInteger: Join(AbelianSemiGroup,OrderedSet,Monoid) with --S 1 of 1 )show PrimeField ---R --R PrimeField(p: PositiveInteger) is a domain constructor --R Abbreviation for PrimeField is PF --R This constructor is exposed in this frame. @@ -103240,24 +103241,25 @@ PositiveInteger: Join(AbelianSemiGroup,OrderedSet,Monoid) with --R convert : % -> Integer coordinates : % -> Vector(%) --R createPrimitiveElement : () -> % degree : % -> PositiveInteger --R differentiate : % -> % dimension : () -> CardinalNumber ---R factor : % -> Factored(%) gcd : List(%) -> % ---R gcd : (%,%) -> % hash : % -> SingleInteger ---R inGroundField? : % -> Boolean index : PositiveInteger -> % ---R init : () -> % inv : % -> % ---R latex : % -> String lcm : List(%) -> % ---R lcm : (%,%) -> % lookup : % -> PositiveInteger ---R norm : % -> % one? : % -> Boolean ---R order : % -> PositiveInteger prime? : % -> Boolean ---R primeFrobenius : % -> % primitive? : % -> Boolean ---R primitiveElement : () -> % ?quo? : (%,%) -> % ---R random : () -> % recip : % -> Union(%,"failed") ---R ?rem? : (%,%) -> % represents : Vector(%) -> % ---R retract : % -> % sample : () -> % ---R size : () -> NonNegativeInteger sizeLess? : (%,%) -> Boolean ---R squareFree : % -> Factored(%) squareFreePart : % -> % ---R trace : % -> % transcendent? : % -> Boolean ---R unit? : % -> Boolean unitCanonical : % -> % ---R zero? : % -> Boolean ?~=? : (%,%) -> Boolean +--R enumerate : () -> List(%) factor : % -> Factored(%) +--R gcd : List(%) -> % gcd : (%,%) -> % +--R hash : % -> SingleInteger inGroundField? : % -> Boolean +--R index : PositiveInteger -> % init : () -> % +--R inv : % -> % latex : % -> String +--R lcm : List(%) -> % lcm : (%,%) -> % +--R lookup : % -> PositiveInteger norm : % -> % +--R one? : % -> Boolean order : % -> PositiveInteger +--R prime? : % -> Boolean primeFrobenius : % -> % +--R primitive? : % -> Boolean primitiveElement : () -> % +--R ?quo? : (%,%) -> % random : () -> % +--R recip : % -> Union(%,"failed") ?rem? : (%,%) -> % +--R represents : Vector(%) -> % retract : % -> % +--R sample : () -> % size : () -> NonNegativeInteger +--R sizeLess? : (%,%) -> Boolean squareFree : % -> Factored(%) +--R squareFreePart : % -> % trace : % -> % +--R transcendent? : % -> Boolean unit? : % -> Boolean +--R unitCanonical : % -> % zero? : % -> Boolean +--R ?~=? : (%,%) -> Boolean --R ?*? : (NonNegativeInteger,%) -> % --R ?**? : (%,NonNegativeInteger) -> % --R Frobenius : % -> % if $ has FINITE @@ -104713,7 +104715,6 @@ PseudoAlgebraicClosureOfAlgExtOfRationalNumber(downLevel:K):Exp == Impl where --S 1 of 1 )show PseudoAlgebraicClosureOfFiniteField ---R --R PseudoAlgebraicClosureOfFiniteField(K: FiniteFieldCategory) is a domain constructor --R Abbreviation for PseudoAlgebraicClosureOfFiniteField is PACOFF --R This constructor is exposed in this frame. @@ -104736,27 +104737,27 @@ PseudoAlgebraicClosureOfAlgExtOfRationalNumber(downLevel:K):Exp == Impl where --R coerce : % -> % coerce : Integer -> % --R coerce : % -> OutputForm conjugate : % -> % --R createPrimitiveElement : () -> % differentiate : % -> % ---R dimension : () -> CardinalNumber extDegree : % -> PositiveInteger ---R factor : % -> Factored(%) fullOutput : % -> OutputForm ---R gcd : List(%) -> % gcd : (%,%) -> % ---R ground? : % -> Boolean hash : % -> SingleInteger ---R inGroundField? : % -> Boolean index : PositiveInteger -> % ---R init : () -> % inv : % -> % ---R latex : % -> String lcm : List(%) -> % ---R lcm : (%,%) -> % lookup : % -> PositiveInteger ---R maxTower : List(%) -> % one? : % -> Boolean ---R order : % -> PositiveInteger previousTower : % -> % ---R prime? : % -> Boolean primeFrobenius : % -> % ---R primitive? : % -> Boolean primitiveElement : () -> % ---R ?quo? : (%,%) -> % random : () -> % ---R recip : % -> Union(%,"failed") ?rem? : (%,%) -> % ---R retract : % -> K sample : () -> % ---R setTower! : % -> Void size : () -> NonNegativeInteger ---R sizeLess? : (%,%) -> Boolean squareFree : % -> Factored(%) ---R squareFreePart : % -> % transcendent? : % -> Boolean ---R unit? : % -> Boolean unitCanonical : % -> % ---R vectorise : (%,%) -> Vector(%) zero? : % -> Boolean ---R ?~=? : (%,%) -> Boolean +--R dimension : () -> CardinalNumber enumerate : () -> List(%) +--R extDegree : % -> PositiveInteger factor : % -> Factored(%) +--R fullOutput : % -> OutputForm gcd : List(%) -> % +--R gcd : (%,%) -> % ground? : % -> Boolean +--R hash : % -> SingleInteger inGroundField? : % -> Boolean +--R index : PositiveInteger -> % init : () -> % +--R inv : % -> % latex : % -> String +--R lcm : List(%) -> % lcm : (%,%) -> % +--R lookup : % -> PositiveInteger maxTower : List(%) -> % +--R one? : % -> Boolean order : % -> PositiveInteger +--R previousTower : % -> % prime? : % -> Boolean +--R primeFrobenius : % -> % primitive? : % -> Boolean +--R primitiveElement : () -> % ?quo? : (%,%) -> % +--R random : () -> % recip : % -> Union(%,"failed") +--R ?rem? : (%,%) -> % retract : % -> K +--R sample : () -> % setTower! : % -> Void +--R size : () -> NonNegativeInteger sizeLess? : (%,%) -> Boolean +--R squareFree : % -> Factored(%) squareFreePart : % -> % +--R transcendent? : % -> Boolean unit? : % -> Boolean +--R unitCanonical : % -> % vectorise : (%,%) -> Vector(%) +--R zero? : % -> Boolean ?~=? : (%,%) -> Boolean --R ?*? : (NonNegativeInteger,%) -> % --R ?**? : (%,NonNegativeInteger) -> % --R Frobenius : % -> % if K has FINITE @@ -107478,7 +107479,6 @@ Queue(S:SetCategory): QueueAggregate S with --S 1 of 1 )show RadicalFunctionField ---R --R RadicalFunctionField(F: UniqueFactorizationDomain,UP: UnivariatePolynomialCategory(F),UPUP: UnivariatePolynomialCategory(Fraction(UP)),radicnd: Fraction(UP),n: NonNegativeInteger) is a domain constructor --R Abbreviation for RadicalFunctionField is RADFF --R This constructor is not exposed in this frame. @@ -107560,6 +107560,7 @@ Queue(S:SetCategory): QueueAggregate S with --R discriminant : Vector(%) -> Fraction(UP) --R divide : (%,%) -> Record(quotient: %,remainder: %) if Fraction(UP) has FIELD --R elliptic : () -> Union(UP,"failed") +--R enumerate : () -> List(%) if Fraction(UP) has FINITE --R euclideanSize : % -> NonNegativeInteger if Fraction(UP) has FIELD --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") if Fraction(UP) has FIELD --R exquo : (%,%) -> Union(%,"failed") if Fraction(UP) has FIELD @@ -116670,7 +116671,6 @@ Set(S:SetCategory): FiniteSetAggregate S == add --S 1 of 1 )show SetOfMIntegersInOneToN ---R --R SetOfMIntegersInOneToN(m: PositiveInteger,n: PositiveInteger) is a domain constructor --R Abbreviation for SetOfMIntegersInOneToN is SETMN --R This constructor is not exposed in this frame. @@ -116678,10 +116678,11 @@ Set(S:SetCategory): FiniteSetAggregate S == add --R --R------------------------------- Operations -------------------------------- --R ?=? : (%,%) -> Boolean coerce : % -> OutputForm ---R enumerate : () -> Vector(%) hash : % -> SingleInteger ---R index : PositiveInteger -> % latex : % -> String ---R lookup : % -> PositiveInteger random : () -> % ---R size : () -> NonNegativeInteger ?~=? : (%,%) -> Boolean +--R enumerate : () -> Vector(%) enumerate : () -> List(%) +--R hash : % -> SingleInteger index : PositiveInteger -> % +--R latex : % -> String lookup : % -> PositiveInteger +--R random : () -> % size : () -> NonNegativeInteger +--R ?~=? : (%,%) -> Boolean --R delta : (%,PositiveInteger,PositiveInteger) -> NonNegativeInteger --R elements : % -> List(PositiveInteger) --R incrementKthElement : (%,PositiveInteger) -> Union(%,"failed") @@ -117629,7 +117630,6 @@ SExpressionOf(Str, Sym, Int, Flt, Expr): Decl == Body where --S 1 of 1 )show SimpleAlgebraicExtension ---R --R SimpleAlgebraicExtension(R: CommutativeRing,UP: UnivariatePolynomialCategory(R),M: UP) is a domain constructor --R Abbreviation for SimpleAlgebraicExtension is SAE --R This constructor is not exposed in this frame. @@ -117697,6 +117697,7 @@ SExpressionOf(Str, Sym, Int, Flt, Expr): Decl == Body where --R discreteLog : (%,%) -> Union(NonNegativeInteger,"failed") if R has FFIELDC --R discreteLog : % -> NonNegativeInteger if R has FFIELDC --R divide : (%,%) -> Record(quotient: %,remainder: %) if R has FIELD +--R enumerate : () -> List(%) if R has FINITE --R euclideanSize : % -> NonNegativeInteger if R has FIELD --R expressIdealMember : (List(%),%) -> Union(List(%),"failed") if R has FIELD --R exquo : (%,%) -> Union(%,"failed") if R has FIELD @@ -123299,7 +123300,6 @@ SparseUnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where --S 1 of 1 )show SplitHomogeneousDirectProduct ---R --R SplitHomogeneousDirectProduct(dimtot: NonNegativeInteger,dim1: NonNegativeInteger,S: OrderedAbelianMonoidSup) is a domain constructor --R Abbreviation for SplitHomogeneousDirectProduct is SHDP --R This constructor is not exposed in this frame. @@ -123362,6 +123362,7 @@ SparseUnivariateTaylorSeries(Coef,var,cen): Exports == Implementation where --R dimension : () -> CardinalNumber if S has FIELD --R dot : (%,%) -> S if S has RING --R entry? : (S,%) -> Boolean if $ has finiteAggregate and S has SETCAT +--R enumerate : () -> List(%) if S has FINITE --R eval : (%,List(S),List(S)) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,S,S) -> % if S has EVALAB(S) and S has SETCAT --R eval : (%,Equation(S)) -> % if S has EVALAB(S) and S has SETCAT diff --git a/books/bookvol10.4.pamphlet b/books/bookvol10.4.pamphlet index 38232e5..8bba32f 100644 --- a/books/bookvol10.4.pamphlet +++ b/books/bookvol10.4.pamphlet @@ -146326,6 +146326,8 @@ radicalRoots([b,c],[x,y]) --R Type: List(List(Expression(Integer))) --E 14 +)clear all + --S 15 of 21 t1:=radicalSolve(x^3 + x^2 - 7 = 0,x) --R diff --git a/changelog b/changelog index f282c0b..d5f2fd5 100644 --- a/changelog +++ b/changelog @@ -1,3 +1,8 @@ +20130526 tpd src/axiom-website/patches.html 20130526.01.tpd.patch +20130526 tpd src/algebra/Makefile fix failing test cases +20130526 tpd books/bookvol10.4 fix failing test cases +20130526 tpd books/bookvol10.3 fix failing test cases +20130526 tpd books/bookvol10.2 fix failing test cases 20130522 tpd src/axiom-website/patches.html 20130522.02.tpd.patch 20130522 tpd buglist remove error message for deleted files 20130522 tpd src/axiom-website/patches.html 20130522.01.tpd.patch diff --git a/src/algebra/Makefile.pamphlet b/src/algebra/Makefile.pamphlet index 90afa2f..4ec44db 100644 --- a/src/algebra/Makefile.pamphlet +++ b/src/algebra/Makefile.pamphlet @@ -17844,7 +17844,6 @@ single stanza: else \ echo ')read $*.input' | ${TESTSYS} >${TMP}/trace ; \ fi ; \ - rm $*.input ; \ if [ -z "${NOISE}" ] ; then \ echo ')lisp (regress "$*.output")' | ${TESTSYS} \ | egrep -v '(Timestamp|Version)' | tee $*.regress ; \ @@ -18414,7 +18413,7 @@ REGRESS= \ Kovacic.regress \ LaplaceTransform.regress \ LaurentPolynomial.regress \ - LazyRepresentativeAttribute.regress \ + LazyRepresentationAttribute.regress \ LazyStreamAggregate.regress \ LazardSetSolvingPackage.regress \ LeadingCoefDetermination.regress \ @@ -18541,7 +18540,7 @@ REGRESS= \ NormRetractPackage.regress \ NotherianAttribute.regress \ NottinghamGroup.regress \ - NoZeroDivisors.regress \ + NoZeroDivisorsAttribute.regress \ NPCoef.regress \ NullSquareAttribute.regress \ NumberFieldIntegralBasis.regress \ diff --git a/src/axiom-website/patches.html b/src/axiom-website/patches.html index 78e00c1..16d2577 100644 --- a/src/axiom-website/patches.html +++ b/src/axiom-website/patches.html @@ -4179,6 +4179,8 @@ books/bookvol5 merge ht-util.lisp src/Makefile fix {OUT} bug 20130522.02.tpd.patch buglist remove error message for deleted files +20130526.01.tpd.patch +books/bookvol10.* fix failing test cases