/usr/lib/open-axiom/algebra/libdb.text

a%Rule`2`n`(associativity,%Forall(%Sequence(f:_$,x:_#1,y:_#1,z:_#1),=(f(f(x,y),z),f(x,f(y,z)))))`cSemiGroupOperatorCategory``0
a%Rule`2`n`(idempotence,%Forall(%Sequence(f:_$,x:_#1),=(f(x,x),x)))`cIdempotentOperatorCategory``0
a%Rule`2`n`(neutrality,%Forall(%Sequence(f:_$,x:_#1),SEQ(=(f(x,neutralValue(f)),x),exit(1,=(f(neutralValue(f),x),x)))))`cMonoidOperatorCategory``0
aJacobiIdentity`0`n``cAttributeRegistry``0
aJacobiIdentity`0`n``cLieAlgebra``0
aNullSquare`0`n``cAttributeRegistry``0
aNullSquare`0`n``cLieAlgebra``0
aadditiveValuation`0`n``cAttributeRegistry``3
aadditiveValuation`0`n``cComplexCategory`has(R,ATTRIBUTE(additiveValuation))`0
aadditiveValuation`0`n``cUnivariatePolynomialCategory`has(R,Field)`101
aapproximate`0`n``cFloatingPointSystem``169
aapproximate`0`n``cIntervalCategory``0
aarbitraryExponent`0`n``dFloat``0
aarbitraryPrecision`0`n``cAttributeRegistry``241
aarbitraryPrecision`0`n``dFloat``0
acanonicalUnitNormal`0`n``cAttributeRegistry``337
acanonicalUnitNormal`0`n``cField``578
acanonicalUnitNormal`0`n``cIntegerNumberSystem``0
acanonicalUnitNormal`0`n``cPolynomialCategory`has(R,ATTRIBUTE(canonicalUnitNormal))`597
acanonicalUnitNormal`0`n``dPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`752
acanonicalUnitNormal`0`n``dSymmetricPolynomial`has(R,ATTRIBUTE(canonicalUnitNormal))`0
acanonicalUnitNormal`0`n``dXPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`898
acanonical`0`n``cAttributeRegistry``1044
acanonical`0`n``dFourierSeries`AND(has(R,ATTRIBUTE(canonical)),has(E,ATTRIBUTE(canonical)))`0
acanonical`0`n``dFraction`AND(has(S,ATTRIBUTE(canonical)),has(S,ATTRIBUTE(canonicalUnitNormal)),has(S,GcdDomain))`1330
acanonical`0`n``dInteger``1401
acanonical`0`n``dRomanNumeral``1456
acanonical`0`n``dSingleInteger``1511
acanonicalsClosed`0`n``cAttributeRegistry``1605
acanonicalsClosed`0`n``cField``1715
acanonicalsClosed`0`n``dInteger``1755
acanonicalsClosed`0`n``dRomanNumeral``1801
acanonicalsClosed`0`n``dSingleInteger``1847
acentral`0`n``cAttributeRegistry``1922
acentral`0`n``dSquareMatrix`has(R,ATTRIBUTE(commutative("*")))`2191
acommutative`1`n`("*")`cAttributeRegistry``2362
acommutative`1`n`("*")`cCommutativeRing``2474
acommutative`1`n`("*")`dCardinalNumber``2510
acommutative`1`n`("*")`dNonNegativeInteger``2629
acommutative`1`n`("*")`dPositiveInteger``2714
acomplex`0`n``cComplexCategory``2791
afiniteAggregate`0`n``cAttributeRegistry``2834
afiniteAggregate`0`n``cBinaryTreeCategory``2933
afiniteAggregate`0`n``cDirectProductCategory``2986
afiniteAggregate`0`n``cFiniteLinearAggregate``0
afiniteAggregate`0`n``cFiniteSetAggregate``0
afiniteAggregate`0`n``cMatrixCategory``3041
afiniteAggregate`0`n``cPolynomialSetCategory``0
afiniteAggregate`0`n``cPriorityQueueAggregate``0
afiniteAggregate`0`n``cQueueAggregate``0
afiniteAggregate`0`n``cRectangularMatrixCategory``3066
afiniteAggregate`0`n``cStackAggregate``0
afiniteAggregate`0`n``cTriangularSetCategory``0
afiniteAggregate`0`n``cTwoDimensionalArrayCategory``3091
afiniteAggregate`0`n``dBalancedBinaryTree``0
afiniteAggregate`0`n``dBinarySearchTree``0
afiniteAggregate`0`n``dByteBuffer``3130
afiniteAggregate`0`n``dEqTable``0
afiniteAggregate`0`n``dGeneralPolynomialSet``0
afiniteAggregate`0`n``dHashTable``0
afiniteAggregate`0`n``dInnerTable``0
afiniteAggregate`0`n``dKeyedAccessFile``0
afiniteAggregate`0`n``dListMultiDictionary``0
afiniteAggregate`0`n``dMultiset``0
afiniteAggregate`0`n``dSplittingTree``0
afiniteAggregate`0`n``dStringTable``0
afiniteAggregate`0`n``dTable``0
afiniteAggregate`0`n``dTree``0
aleftUnitary`0`n``cAttributeRegistry``3177
aleftUnitary`0`n``cBiModule``3254
amultiplicativeValuation`0`n``cAttributeRegistry``3276
amultiplicativeValuation`0`n``cComplexCategory`has(R,ATTRIBUTE(multiplicativeValuation))`0
amultiplicativeValuation`0`n``cIntegerNumberSystem``3381
anil`0`n``cUnionType``0
anoZeroDivisors`0`n``cAttributeRegistry``3455
anoZeroDivisors`0`n``cEntireRing``3569
anoZeroDivisors`0`n``cXFreeAlgebra`has(R,ATTRIBUTE(noZeroDivisors))`0
anoZeroDivisors`0`n``dXPolynomialRing`has(R,ATTRIBUTE(noZeroDivisors))`0
anoetherian`0`n``cAttributeRegistry``3633
anoetherian`0`n``dInteger``3716
anoetherian`0`n``dRomanNumeral``3758
anoetherian`0`n``dSingleInteger``3800
apartiallyOrderedSet`0`n``cAttributeRegistry``3878
apartiallyOrderedSet`0`n``cSetAggregate``0
arightUnitary`0`n``cAttributeRegistry``4043
arightUnitary`0`n``cBiModule``4121
ashallowlyMutable`0`n``cAttributeRegistry``4143
ashallowlyMutable`0`n``cBagAggregate``4357
ashallowlyMutable`0`n``cBinaryTreeCategory``4437
ashallowlyMutable`0`n``cExtensibleLinearAggregate``0
ashallowlyMutable`0`n``cMatrixCategory``4482
ashallowlyMutable`0`n``cOneDimensionalArrayAggregate``0
ashallowlyMutable`0`n``cTriangularSetCategory``0
ashallowlyMutable`0`n``cTwoDimensionalArrayCategory``4524
ashallowlyMutable`0`n``dBalancedBinaryTree``0
ashallowlyMutable`0`n``dBinarySearchTree``0
ashallowlyMutable`0`n``dBinaryTournament``0
ashallowlyMutable`0`n``dGeneralPolynomialSet``0
ashallowlyMutable`0`n``dMultiset``0
ashallowlyMutable`0`n``dSplittingTree``0
ashallowlyMutable`0`n``dStream``4564
ashallowlyMutable`0`n``dTree``0
ashallowlyMutable`0`n``dTwoDimensionalArray``4646
aunitsKnown`0`n``cAttributeRegistry``4702
aunitsKnown`0`n``cDirectProductCategory`has(R,ATTRIBUTE(unitsKnown))`0
aunitsKnown`0`n``cFiniteRankNonAssociativeAlgebra`has(R,IntegralDomain)`4909
aunitsKnown`0`n``cGroup``5173
aunitsKnown`0`n``cRing``5245
aunitsKnown`0`n``dSquareMatrix`AND(has(R,ATTRIBUTE(commutative("*"))),has(R,ATTRIBUTE(unitsKnown)))`5341
aunitsKnown`0`n``dXPolynomialRing`has(R,ATTRIBUTE(unitsKnown))`0
cAbelianGroup`0`n`()->Category``ABELGRP`5445
cAbelianMonoidRing`2`n`(Ring,OrderedAbelianMonoid)->Category`(R,E)`AMR`5571
cAbelianMonoid`0`n`()->Category``ABELMON`6144
cAbelianSemiGroup`0`n`()->Category``ABELSG`6263
cAbstractSyntaxCategory`0`n`()->Category``ASTCAT`6414
cAggregate`0`n`()->Category``AGG`6471
cAlgebra`1`n`(CommutativeRing)->Category`(R)`ALGEBRA`6987
cAlgebraicallyClosedField`0`n`()->Category``ACF`7078
cAlgebraicallyClosedFunctionSpace`1`n`(IntegralDomain)->Category`(R)`ACFS`7122
cArcHyperbolicFunctionCategory`0`n`()->Category``AHYP`7175
cArcTrigonometricFunctionCategory`0`n`()->Category``ATRIG`7241
cAssociationListAggregate`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`ALAGG`7296
cAttributeRegistry`0`n`()->Category``ATTREG`7463
cBagAggregate`1`n`(Type)->Category`(S)`BGAGG`7526
cBasicType`0`n`()->Category``BASTYPE`7752
cBiModule`2`n`(Ring,Ring)->Category`(R,S)`BMODULE`7868
cBinaryOperatorCategory`1`n`(Type)->Category`(T)`BINOPC`7983
cBinaryRecursiveAggregate`1`n`(Type)->Category`(S)`BRAGG`8058
cBinaryTreeCategory`1`n`(SetCategory)->Category`(S)`BTCAT`8196
cBitAggregate`0`n`()->Category``BTAGG`8409
cBooleanLogic`0`n`()->Category``BOOLE`8506
cCachableSet`0`n`()->Category``CACHSET`8561
cCancellationAbelianMonoid`0`n`()->Category``CABMON`8649
cCharacteristicNonZero`0`n`()->Category``CHARNZ`8879
cCharacteristicZero`0`n`()->Category``CHARZ`8917
cCoercibleFrom`1`n`(Type)->Category`(S)`KRCFROM`8952
cCoercibleTo`1`n`(Type)->Category`(S)`KOERCE`9079
cCollection`1`n`(Type)->Category`(S)`CLAGG`9213
cCombinatorialFunctionCategory`0`n`()->Category``CFCAT`9647
cCombinatorialOpsCategory`0`n`()->Category``COMBOPC`9700
cCommutativeRing`0`n`()->Category``COMRING`9832
cComplexCategory`1`n`(CommutativeRing)->Category`(R)`COMPCAT`9995
cConduit`0`n`()->Category``CONDUIT`10080
cConstructorCategory`0`n`()->Category``CTORCAT`10132
cConvertibleFrom`1`n`(Type)->Category`(S)`KVTFROM`10198
cConvertibleTo`1`n`(Type)->Category`(S)`KONVERT`10326
cDequeueAggregate`1`n`(Type)->Category`(S)`DQAGG`10473
cDictionaryOperations`1`n`(SetCategory)->Category`(S)`DIOPS`10651
cDictionary`1`n`(SetCategory)->Category`(S)`DIAGG`10779
cDifferentialDomain`1`n`(Type)->Category`(T)`DIFFDOM`11097
cDifferentialExtension`1`n`(Ring)->Category`(R)`DIFEXT`11730
cDifferentialModuleExtension`1`n`(Ring)->Category`(R)`DMEXT`11856
cDifferentialModule`1`n`(Ring)->Category`(R)`DIFFMOD`11924
cDifferentialPolynomialCategory`4`n`(Ring,S:OrderedSet,DifferentialVariableCategory(S),OrderedAbelianMonoidSup)->Category`(R,S,V,E)`DPOLCAT`12365
cDifferentialRing`0`n`()->Category``DIFRING`13685
cDifferentialSpaceExtension`1`n`(Type)->Category`(R)`DSEXT`13795
cDifferentialSpace`0`n`()->Category``DIFFSPC`13869
cDifferentialVariableCategory`1`n`(OrderedSet)->Category`(S)`DVARCAT`14002
cDioid`0`n`()->Category``DIOID`16374
cDirectProductCategory`2`n`(NonNegativeInteger,Type)->Category`(dim,R)`DIRPCAT`16476
cDivisionRing`0`n`()->Category``DIVRING`16631
cDoublyLinkedAggregate`1`n`(Type)->Category`(S)`DLAGG`16798
cElementaryFunctionCategory`0`n`()->Category``ELEMFUN`17003
cEltableAggregate`2`n`(SetCategory,Type)->Category`(Dom,Im)`ELTAGG`17047
cEltable`2`n`(Type,Type)->Category`(S,T)`ELTAB`17406
cEntireRing`0`n`()->Category``ENTIRER`17713
cEuclideanDomain`0`n`()->Category``EUCDOM`17861
cEvalable`1`n`(SetCategory)->Category`(R)`EVALAB`18249
cExpressionSpace`0`n`()->Category``ES`18397
cExtensibleLinearAggregate`1`n`(Type)->Category`(S)`ELAGG`18472
cExtensionField`1`n`(Field)->Category`(F)`XF`18877
cFieldOfPrimeCharacteristic`0`n`()->Category``FPC`18963
cField`0`n`()->Category``FIELD`19203
cFileCategory`2`n`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`19423
cFileNameCategory`0`n`()->Category``FNCAT`19651
cFiniteAbelianMonoidRing`2`n`(Ring,OrderedAbelianMonoid)->Category`(R,E)`FAMR`19721
cFiniteAlgebraicExtensionField`1`n`(Field)->Category`(F)`FAXF`19890
cFiniteDivisorCategory`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),FunctionFieldCategory(F,UP,UPUP))->Category`(F,UP,UPUP,R)`FDIVCAT`21397
cFiniteFieldCategory`0`n`()->Category``FFIELDC`21611
cFiniteLinearAggregate`1`n`(Type)->Category`(S)`FLAGG`21669
cFiniteRankAlgebra`2`n`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FINRALG`21911
cFiniteRankNonAssociativeAlgebra`1`n`(CommutativeRing)->Category`(R)`FINAALG`22031
cFiniteSetAggregate`1`n`(SetCategory)->Category`(S)`FSAGG`22180
cFinite`0`n`()->Category``FINITE`22381
cFloatingPointSystem`0`n`()->Category``FPS`22609
cFramedAlgebra`2`n`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FRAMALG`23633
cFramedNonAssociativeAlgebra`1`n`(CommutativeRing)->Category`(R)`FRNAALG`23745
cFreeAbelianMonoidCategory`2`n`(SetCategory,CancellationAbelianMonoid)->Category`(S,E)`FAMONC`24022
cFreeLieAlgebra`2`n`(OrderedSet,CommutativeRing)->Category`(VarSet,R)`FLALG`24258
cFreeModuleCat`2`n`(Ring,SetCategory)->Category`(R,Basis)`FMCAT`24455
cFreeMonoidCategory`1`n`(SetCategory)->Category`(S)`FMONCAT`24974
cFullyEvalableOver`1`n`(SetCategory)->Category`(R)`FEVALAB`25211
cFullyLinearlyExplicitRingOver`1`n`(Ring)->Category`(R)`FLINEXP`25332
cFullyPatternMatchable`1`n`(Type)->Category`(R)`FPATMAB`25562
cFullyRetractableTo`1`n`(Type)->Category`(S)`FRETRCT`25755
cFunctionFieldCategory`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UnivariatePolynomialCategory(Fraction(UP)))->Category`(F,UP,UPUP)`FFCAT`26186
cFunctionSpace`1`n`(SetCategory)->Category`(R)`FS`26268
cGcdDomain`0`n`()->Category``GCDDOM`26346
cGradedAlgebra`2`n`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRALG`26645
cGradedModule`2`n`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`26984
cGroup`0`n`()->Category``GROUP`27525
cHomogeneousAggregate`1`n`(Type)->Category`(S)`HOAGG`27636
cHomotopicTo`1`n`(Type)->Category`(S)`HOMOTOP`28049
cHyperbolicFunctionCategory`0`n`()->Category``HYPCAT`28261
cIdempotentOperatorCategory`1`n`(BasicType)->Category`(T)`IDEMOPC`28320
cIndexedAggregate`2`n`(SetCategory,Type)->Category`(Index,Entry)`IXAGG`28400
cIndexedDirectProductCategory`2`n`(BasicType,OrderedType)->Category`(A,S)`IDPC`28658
cInnerEvalable`2`n`(SetCategory,Type)->Category`(A,B)`IEVALAB`28761
cInputByteConduit`0`n`()->Category``INBCON`29078
cInputOutputByteConduit`0`n`()->Category``IOBCON`29136
cIntegerNumberSystem`0`n`()->Category``INS`29232
cIntegralDomain`0`n`()->Category``INTDOM`29297
cIntervalCategory`1`n`(Join(FloatingPointSystem,etc))->Category`(R)`INTCAT`29625
cKeyedDictionary`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`KDAGG`29933
cLazyStreamAggregate`1`n`(Type)->Category`(S)`LZSTAGG`30041
cLeftAlgebra`1`n`(Ring)->Category`(R)`LALG`30354
cLeftLinearSet`1`n`(SemiGroup)->Category`(S)`LLINSET`30418
cLeftModule`1`n`(Rng)->Category`(R)`LMODULE`30587
cLieAlgebra`1`n`(CommutativeRing)->Category`(R)`LIECAT`30761
cLinearAggregate`1`n`(Type)->Category`(S)`LNAGG`30925
cLinearOrdinaryDifferentialOperatorCategory`1`n`(Ring)->Category`(A)`LODOCAT`31552
cLinearSet`1`n`(SemiGroup)->Category`(S)`LINSET`31817
cLinearlyExplicitRingOver`1`n`(Ring)->Category`(R)`LINEXP`31993
cLiouvillianFunctionCategory`0`n`()->Category``LFCAT`32068
cListAggregate`1`n`(Type)->Category`(S)`LSAGG`32129
cLogic`0`n`()->Category``LOGIC`32316
cMatrixCategory`3`n`(R:Ring,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`MATCAT`32411
cModule`1`n`(CommutativeRing)->Category`(R)`MODULE`33025
cMonadWithUnit`0`n`()->Category``MONADWU`33091
cMonad`0`n`()->Category``MONAD`33530
cMonogenicAlgebra`2`n`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`MONOGEN`33635
cMonogenicLinearOperator`1`n`(Ring)->Category`(R)`MLO`33744
cMonoidOperatorCategory`1`n`(BasicType)->Category`(T)`MONOPC`34266
cMonoid`0`n`()->Category``MONOID`34341
cMultiDictionary`1`n`(SetCategory)->Category`(S)`MDAGG`34466
cMultisetAggregate`1`n`(SetCategory)->Category`(S)`MSETAGG`34662
cMultivariateTaylorSeriesCategory`2`n`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`34754
cNetworkClientSocket`1`n`(SetCategory)->Category`(T)`NETCLT`0
cNonAssociativeAlgebra`1`n`(CommutativeRing)->Category`(R)`NAALG`34861
cNonAssociativeRing`0`n`()->Category``NASRING`35035
cNonAssociativeRng`0`n`()->Category``NARNG`35173
cNormalizedTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`NTSCAT`35480
cOctonionCategory`1`n`(CommutativeRing)->Category`(R)`OC`36882
cOneDimensionalArrayAggregate`1`n`(Type)->Category`(S)`A1AGG`37103
cOperatorCategory`1`n`(SetCategory)->Category`(S)`OPERCAT`37908
cOrderedAbelianGroup`0`n`()->Category``OAGROUP`38118
cOrderedAbelianMonoidSup`0`n`()->Category``OAMONS`38217
cOrderedAbelianMonoid`0`n`()->Category``OAMON`38527
cOrderedAbelianSemiGroup`0`n`()->Category``OASGP`38627
cOrderedCancellationAbelianMonoid`0`n`()->Category``OCAMON`38771
cOrderedFinite`0`n`()->Category``ORDFIN`38884
cOrderedIntegralDomain`0`n`()->Category``OINTDOM`38911
cOrderedMonoid`0`n`()->Category``ORDMON`39044
cOrderedMultisetAggregate`1`n`(OrderedSet)->Category`(S)`OMSAGG`39149
cOrderedRing`0`n`()->Category``ORDRING`39186
cOrderedSemiGroup`0`n`()->Category``OSGROUP`39319
cOrderedSet`0`n`()->Category``ORDSET`39362
cOrderedType`0`n`()->Category``ORDTYPE`39619
cOutputByteConduit`0`n`()->Category``OUTBCON`39675
cPAdicIntegerCategory`1`n`(Integer)->Category`(p)`PADICCT`39734
cPartialDifferentialDomain`2`n`(Type,Type)->Category`(T,S)`PDDOM`39838
cPartialDifferentialModule`2`n`(Ring,SetCategory)->Category`(R,S)`PDMOD`40133
cPartialDifferentialRing`1`n`(SetCategory)->Category`(S)`PDRING`40249
cPartialDifferentialSpace`1`n`(SetCategory)->Category`(S)`PDSPC`40354
cPartialTranscendentalFunctions`1`n`(TranscendentalFunctionCategory)->Category`(K)`PTRANFN`40564
cPatternMatchable`1`n`(SetCategory)->Category`(S)`PATMAB`40699
cPatternable`1`n`(Type)->Category`(R)`PATAB`40820
cPermutationCategory`1`n`(SetCategory)->Category`(S)`PERMCAT`41009
cPlottablePlaneCurveCategory`0`n`()->Category``PPCURVE`41153
cPlottableSpaceCurveCategory`0`n`()->Category``PSCURVE`41495
cPointCategory`1`n`(Ring)->Category`(R)`PTCAT`41826
cPolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`42007
cPolynomialFactorizationExplicit`0`n`()->Category``PFECAT`42176
cPolynomialSetCategory`4`n`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`42478
cPowerSeriesCategory`3`n`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`43090
cPrimitiveFunctionCategory`0`n`()->Category``PRIMCAT`43214
cPrincipalIdealDomain`0`n`()->Category``PID`43269
cPriorityQueueAggregate`1`n`(OrderedSet)->Category`(S)`PRQAGG`43620
cPropositionalLogic`0`n`()->Category``PROPLOG`43737
cQuaternionCategory`1`n`(CommutativeRing)->Category`(R)`QUATCAT`43806
cQueueAggregate`1`n`(Type)->Category`(S)`QUAGG`43943
cQuotientFieldCategory`1`n`(IntegralDomain)->Category`(S)`QFCAT`44025
cRGBColorModel`1`n`(AbelianMonoid)->Category`(T)`RGBCMDL`44116
cRGBColorSpace`1`n`(AbelianMonoid)->Category`(T)`RGBCSPC`44187
cRadicalCategory`0`n`()->Category``RADCAT`44258
cRealClosedField`0`n`()->Category``RCFIELD`44328
cRealConstant`0`n`()->Category``REAL`44422
cRealNumberSystem`0`n`()->Category``RNS`44509
cRealRootCharacterizationCategory`2`n`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`44803
cRectangularMatrixCategory`5`n`(m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`44913
cRecursiveAggregate`1`n`(Type)->Category`(S)`RCAGG`45141
cRecursivePolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`45582
cRegularTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`46059
cRetractableTo`1`n`(Type)->Category`(S)`RETRACT`48883
cRightLinearSet`1`n`(SemiGroup)->Category`(S)`RLINSET`49057
cRightModule`1`n`(Rng)->Category`(R)`RMODULE`49227
cRing`0`n`()->Category``RING`49403
cRng`0`n`()->Category``RNG`49500
cSExpressionCategory`5`n`(SetCategory,SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt,Expr)`SEXCAT`49724
cSegmentCategory`1`n`(Type)->Category`(S)`SEGCAT`49826
cSegmentExpansionCategory`2`n`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`49917
cSemiGroupOperatorCategory`1`n`(BasicType)->Category`(T)`SGPOPC`50007
cSemiGroup`0`n`()->Category``SGROUP`50085
cSemiRing`0`n`()->Category``SRING`50214
cSetAggregate`1`n`(SetCategory)->Category`(S)`SETAGG`50410
cSetCategory`0`n`()->Category``SETCAT`50735
cSpadAstExports`0`n`()->Category``SPADXPT`51006
cSpadSyntaxCategory`0`n`()->Category``SASTCAT`51097
cSpecialFunctionCategory`0`n`()->Category``SPFCAT`51148
cSquareFreeNormalizedTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`51196
cSquareFreeRegularTriangularSetCategory`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`51520
cSquareMatrixCategory`4`n`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`52492
cStackAggregate`1`n`(Type)->Category`(S)`SKAGG`52747
cStepThrough`0`n`()->Category``STEP`52828
cStreamAggregate`1`n`(Type)->Category`(S)`STAGG`53273
cStringAggregate`0`n`()->Category``SRAGG`53643
cTableAggregate`2`n`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`53746
cThreeSpaceCategory`1`n`(Ring)->Category`(R)`SPACEC`53866
cTranscendentalFunctionCategory`0`n`()->Category``TRANFUN`54058
cTriangularSetCategory`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`54118
cTrigonometricFunctionCategory`0`n`()->Category``TRIGCAT`55538
cTwoDimensionalArrayCategory`3`n`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`55586
cType`0`n`()->Category``TYPE`56139
cUnaryRecursiveAggregate`1`n`(Type)->Category`(S)`URAGG`56167
cUnionType`0`n`()->Category``UTYPE`56703
cUniqueFactorizationDomain`0`n`()->Category``UFD`57018
cUnivariateLaurentSeriesCategory`1`n`(Ring)->Category`(Coef)`ULSCAT`57190
cUnivariateLaurentSeriesConstructorCategory`2`n`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`57290
cUnivariatePolynomialCategory`1`n`(Ring)->Category`(R)`UPOLYC`57583
cUnivariatePowerSeriesCategory`2`n`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`57730
cUnivariatePuiseuxSeriesCategory`1`n`(Ring)->Category`(Coef)`UPXSCAT`58076
cUnivariatePuiseuxSeriesConstructorCategory`2`n`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`58176
cUnivariateSkewPolynomialCategory`1`n`(Ring)->Category`(R)`OREPCAT`58472
cUnivariateTaylorSeriesCategory`1`n`(Ring)->Category`(Coef)`UTSCAT`58854
cVectorCategory`1`n`(Type)->Category`(R)`VECTCAT`58952
cVectorSpace`1`n`(Field)->Category`(S)`VSPACE`59371
cXAlgebra`1`n`(Ring)->Category`(R)`XALG`59442
cXFreeAlgebra`2`n`(OrderedSet,Ring)->Category`(vl,R)`XFALG`59694
cXPolynomialsCat`2`n`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`59800
dAddAst`0`n`()->Join(SpadSyntaxCategory,etc)``ADDAST`59964
dAlgebraGivenByStructuralConstants`4`n`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`60027
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`60482
dAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``AN`60550
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`60621
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`60670
dAny`0`n`()->Join(SetCategory,etc)``ANY`60717
dArity`0`n`()->Join(SetCategory,etc)``ARITY`61273
dArrayStack`1`n`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`61568
dAssociatedJordanAlgebra`2`n`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`61615
dAssociatedLieAlgebra`2`n`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`62840
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`63894
dAttributeAst`0`n`()->Join(SpadSyntaxCategory,etc)``ATTRAST`64201
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`64297
dBalancedBinaryTree`1`n`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`64383
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`64732
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`64945
dBasicOperator`0`n`()->Join(OrderedSet,etc)``BOP`65151
dBinaryExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`65285
dBinaryOperation`1`n`(Type)->Join(BinaryOperatorCategory(T),etc)`(T)`BINOP`65375
dBinarySearchTree`1`n`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`65423
dBinaryTournament`1`n`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`65703
dBinaryTree`1`n`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65994
dBinding`0`n`()->Join(CoercibleTo(OutputForm),etc)``BINDING`66220
dBits`0`n`()->Join(BitAggregate,etc)``BITS`66404
dBoolean`0`n`()->Join(OrderedFinite,etc)``BOOLEAN`66471
dByteBuffer`0`n`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`66578
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`67343
dByte`0`n`()->Join(OrderedFinite,etc)``BYTE`67417
dCapsuleAst`0`n`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`67484
dCardinalNumber`0`n`()->Join(OrderedSet,etc)``CARD`67549
dCartesianTensor`3`n`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`68954
dCaseAst`0`n`()->Join(SpadSyntaxCategory,etc)``CASEAST`69200
dCategoryAst`0`n`()->Join(SpadSyntaxCategory,etc)``CATAST`69250
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`69355
dCategory`0`n`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`n`()->Join(SetCategory,etc)``CCLASS`69425
dCharacter`0`n`()->Join(OrderedFinite,etc)``CHAR`69515
dCliffordAlgebra`3`n`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`69573
dCoerceAst`0`n`()->Join(SpadSyntaxCategory,etc)``CRCEAST`70264
dCollectAst`0`n`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`70315
dColonAst`0`n`()->Join(SpadSyntaxCategory,etc)``COLONAST`70371
dColor`0`n`()->Join(AbelianSemiGroup,etc)``COLOR`70466
dCommaAst`0`n`()->Join(SpadSyntaxCategory,etc)``COMMAAST`70576
dCommutator`0`n`()->Join(SetCategory,etc)``COMM`70672
dComplex`1`n`(CommutativeRing)->ComplexCategory(R)`(R)`COMPLEX`70707
dConstructAst`0`n`()->Join(SpadSyntaxCategory,etc)``LSTAST`70913
dConstructorCall`1`n`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`70969
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`71128
dContinuedFraction`1`n`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`71189
dContour`0`n`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`71780
dDataArray`2`n`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`71958
dDataList`1`n`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`72028
dDatabase`1`n`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`72084
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`72191
dDecimalExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`72455
dDefinitionAst`0`n`()->Join(SpadSyntaxCategory,etc)``DEFAST`72546
dDenavitHartenbergMatrix`1`n`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`72603
dDequeue`1`n`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`72890
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`72936
dDirectProductMatrixModule`4`n`(n:PositiveInteger,R:Ring,M:SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,M,S)`DPMM`73202
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`73288
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`73387
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73996
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`74359
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`74428
dDomain`0`n`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`n`()->Join(FloatingPointSystem,etc)``DFLOAT`74514
dDrawOption`0`n`()->Join(SetCategory,etc)``DROPT`76454
dDualBasis`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`DBASIS`76548
dElaboratedExpression`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`76748
dElaboration`0`n`()->Join(CoercibleTo(OutputForm),etc)``ELABOR`0
dEnumeration`1`x`special`(a,b,...,c)`ENUM`76824
dEnvironment`0`n`()->Join(CoercibleTo(OutputForm),etc)``ENV`76979
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77133
dEquation`1`n`(Type)->Join(Type,etc)`(S)`EQ`77298
dEuclideanModularRing`6`n`(S:CommutativeRing,R:UnivariatePolynomialCategory(S),Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(EuclideanDomain,etc)`(S,R,Mod,reduction,merge,exactQuo)`EMR`77538
dExitAst`0`n`()->Join(SpadSyntaxCategory,etc)``EXITAST`77738
dExit`0`n`()->SetCategory``EXIT`77785
dExponentialExpansion`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`78072
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78365
dExpression`1`n`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`79146
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79194
dFactored`1`n`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80036
dFileName`0`n`()->FileNameCategory``FNAME`80874
dFile`1`n`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`80943
dFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->Join(FiniteDivisorCategory(F,UP,UPUP,R),etc)`(F,UP,UPUP,R)`FDIV`81077
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`81292
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`81892
dFiniteFieldCyclicGroup`2`n`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`82522
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`83178
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`83445
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`83737
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`84247
dFiniteFieldNormalBasis`2`n`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`84754
dFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`85250
dFlexibleArray`1`n`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`85442
dFloat`0`n`()->Join(FloatingPointSystem,etc)``FLOAT`86450
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`90221
dFortranType`0`n`()->Join(SetCategory,etc)``FT`90361
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`90469
dFourierSeries`2`n`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`90678
dFraction`1`n`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`90874
dFractionalIdeal`4`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:Join(FramedAlgebra(F,UP),etc))->Join(Group,etc)`(R,F,UP,A)`FRIDEAL`91128
dFramedModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRMOD`91173
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`91223
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`91443
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`91677
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`91902
dFreeModule`2`n`(Ring,S:OrderedType)->Join(BiModule(R,R),etc)`(R,S)`FM`92323
dFreeMonoid`1`n`(SetCategory)->FreeMonoidCategory(S)`(S)`FMONOID`92528
dFreeNilpotentLie`3`n`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`92767
dFullPartialFractionExpansion`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`92907
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`93269
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`93314
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`93482
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`93554
dGeneralModulePolynomial`6`n`(vl:List(Symbol),R:CommutativeRing,IS:OrderedSet,E:DirectProductCategory(#(vl),NonNegativeInteger),ff:(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean,P:PolynomialCategory(R,E,OrderedVariableList(vl)))->Join(Module(P),etc)`(vl,R,IS,E,ff,P)`GMODPOL`94115
dGeneralPolynomialSet`4`n`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->Join(PolynomialSetCategory(R,E,VarSet,P),etc)`(R,E,VarSet,P)`GPOLSET`94148
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`94184
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`94302
dGeneralUnivariatePowerSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`94969
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`95266
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`95432
dHasAst`0`n`()->Join(SpadSyntaxCategory,etc)``HASAST`95543
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`95592
dHeadAst`0`n`()->Join(SpadSyntaxCategory,etc)``HEADAST`95751
dHeap`1`n`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`95808
dHexadecimalExpansion`0`n`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`95875
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`95970
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`96308
dHostname`0`n`()->Join(SetCategory,etc)``HOSTNAME`96717
dHyperellipticFiniteDivisor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->FiniteDivisorCategory(F,UP,UPUP,R)`(F,UP,UPUP,R)`HELLFDIV`96777
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`97117
dIP4Address`0`n`()->Join(SetCategory,etc)``IP4ADDR`97226
dIdentifier`0`n`()->Join(SetCategory,etc)``IDENT`97308
dIfAst`0`n`()->Join(SpadSyntaxCategory,etc)``IFAST`97494
dImportAst`0`n`()->Join(SpadSyntaxCategory,etc)``IMPTAST`97556
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`97607
dIndexCard`0`n`()->Join(OrderedSet,etc)``ICARD`97662
dIndexedBits`1`n`(Integer)->BitAggregate`(mn)`IBITS`97756
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedType)->Join(AbelianGroup,etc)`(A,S)`IDPAG`97854
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedType)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`98061
dIndexedDirectProductObject`2`n`(BasicType,S:OrderedType)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`98270
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`98412
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedType)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`98610
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`98844
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`99066
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`100144
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`100615
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`100723
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`101295
dInetClientStreamSocket`0`n`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTuple`1`n`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`101413
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`101514
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`101563
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`101791
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`101847
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`101990
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`102099
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`102302
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`102429
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`102537
dInputBinaryFile`0`n`()->Join(InputByteConduit,etc)``INBFILE`102913
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`103070
dInputOutputBinaryFile`0`n`()->Join(InputOutputByteConduit,etc)``IOBFILE`103222
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`103393
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`103475
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`103557
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`103639
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`103720
dInteger`0`n`()->Join(IntegerNumberSystem,etc)``INT`103813
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`103891
dInternalRepresentationForm`0`n`()->Join(SetCategory,etc)``IRFORM`104397
dInternalTypeForm`0`n`()->Join(SetCategory,etc)``ITFORM`104510
dInterval`1`n`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`104577
dIsAst`0`n`()->Join(SpadSyntaxCategory,etc)``ISAST`104893
dJVMBytecode`0`n`()->Join(SetCategory,etc)``JVMBCODE`104942
dJVMClassFileAccess`0`n`()->Join(SetCategory,etc)``JVMCFACC`104992
dJVMConstantTag`0`n`()->Join(SetCategory,etc)``JVMCSTTG`105040
dJVMFieldAccess`0`n`()->Join(SetCategory,etc)``JVMFDACC`105081
dJVMMethodAccess`0`n`()->Join(SetCategory,etc)``JVMMDACC`105130
dJVMOpcode`0`n`()->Join(SetCategory,etc)``JVMOP`105180
dJoinAst`0`n`()->Join(SpadSyntaxCategory,etc)``JOINAST`105228
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`105286
dKeyedAccessFile`1`n`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`105388
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`105485
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`105553
dLetAst`0`n`()->Join(SpadSyntaxCategory,etc)``LETAST`105713
dLibrary`0`n`()->Join(TableAggregate(String,Any),etc)``LIB`105766
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`105831
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`106193
dLieSquareMatrix`2`n`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`106378
dLinearBasis`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(vars)`LINBASIS`106725
dLinearElement`2`n`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINELT`106920
dLinearForm`2`n`(Field,B:List(Symbol))->Join(VectorSpace(K),etc)`(K,B)`LINFORM`107059
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`107195
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`107441
dLinearOrdinaryDifferentialOperator`2`n`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`107722
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`107978
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`n`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`108149
dLiteral`1`n`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`108366
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`108418
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`108558
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`108744
dMacroAst`0`n`()->Join(SpadSyntaxCategory,etc)``MACROAST`109603
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`109666
dMappingAst`0`n`()->Join(SpadSyntaxCategory,etc)``MAPPAST`109858
dMapping`1`x`special`(T,S)`MAPPING`110068
dMathMLFormat`0`n`()->Join(SetCategory,etc)``MMLFORM`110307
dMatrix`1`n`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`110402
dMaybe`1`n`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`110503
dModMonic`2`n`(R:Ring,P:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,P)`MODMON`110620
dModularField`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Field,etc)`(R,Mod,reduction,merge,exactQuo)`MODFIELD`110653
dModularRing`5`n`(R:CommutativeRing,Mod:AbelianMonoid,(R,Mod)->R,(Mod,Mod)->Union(Mod,"failed"),(R,R,Mod)->Union(R,"failed"))->Join(Ring,etc)`(R,Mod,reduction,merge,exactQuo)`MODRING`110875
dModuleMonomial`3`n`(IS:OrderedSet,E:SetCategory,(Record(index:IS,exponent:E),Record(index:IS,exponent:E))->Boolean)->Join(OrderedSet,etc)`(IS,E,ff)`MODMONOM`111084
dModuleOperator`2`n`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`111117
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`111166
dMonoidOperation`1`n`(BasicType)->Join(MonoidOperatorCategory(T),etc)`(T)`MONOP`111289
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`111337
dMultiset`1`n`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`112289
dMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`112336
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`112658
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`112907
dNonNegativeInteger`0`n`()->Join(OrderedAbelianMonoidSup,etc)``NNI`113089
dNone`0`n`()->SetCategory``NONE`113185
dOctonion`1`n`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`113402
dOneDimensionalArray`1`n`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`113925
dOnePointCompletion`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`113984
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`114088
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`114144
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`114193
dOrdSetInts`0`n`()->Join(OrderedSet,etc)``OSI`114424
dOrderedCompletion`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`114717
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`114832
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(FreeMonoidCategory(S),etc)`(S)`OFMONOID`115162
dOrderedStructure`2`n`(T:Type,(T,T)->Boolean)->Join(OrderedType,etc)`(T,f)`ORDSTRCT`115754
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`115878
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`115925
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`116231
dOrdinaryDifferentialRing`3`n`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`116919
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`117040
dOutputBinaryFile`0`n`()->Join(OutputByteConduit,etc)``OUTBFILE`117268
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`117426
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`117688
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`117777
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`117962
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`118028
dPair`2`n`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`118203
dPalette`0`n`()->Join(SetCategory,etc)``PALETTE`118368
dParameterAst`0`n`()->Join(SpadSyntaxCategory,etc)``PARAMAST`118436
dParametricPlaneCurve`1`n`(Type)->etc`(ComponentFunction)`PARPCURV`118627
dParametricSpaceCurve`1`n`(Type)->etc`(ComponentFunction)`PARSCURV`118720
dParametricSurface`1`n`(Type)->etc`(ComponentFunction)`PARSURF`118811
dPartialFraction`1`n`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`118895
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`119728
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`119960
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`120196
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`120417
dPendantTree`1`n`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`120464
dPermutationGroup`1`n`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`120599
dPermutation`1`n`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`121068
dPi`0`n`()->Join(Field,etc)``HACKPI`121561
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`121872
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`122135
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`122471
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`122836
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`123164
dPolynomialIdeals`4`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`123220
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`123728
dPolynomial`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`124092
dPortNumber`0`n`()->Join(SetCategory,etc)``PORTNUM`124381
dPositiveInteger`0`n`()->Join(OrderedAbelianSemiGroup,etc)``PI`124454
dPretendAst`0`n`()->Join(SpadSyntaxCategory,etc)``PRTDAST`124543
dPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`124595
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`124789
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`124927
dProperty`0`n`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`124974
dPropositionalFormula`1`n`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`125135
dQuadraticForm`2`n`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`125256
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`125319
dQuasiquoteAst`0`n`()->Join(SpadSyntaxCategory,etc)``QQUTAST`127038
dQuaternion`1`n`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`127120
dQueryEquation`0`n`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`127423
dQueue`1`n`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`127476
dRadicalFunctionField`5`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),Fraction(UP),NonNegativeInteger)->FunctionFieldCategory(F,UP,UPUP)`(F,UP,UPUP,radicnd,n)`RADFF`127520
dRadixExpansion`1`n`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`127579
dRangeBinding`2`n`(SegmentCategory(T),Type)->Join(Type,etc)`(S,T)`RNGBIND`127724
dRealClosure`1`n`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`127856
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`127923
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`128159
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`128294
dReference`1`n`(Type)->Join(SetCategory,etc)`(S)`REF`128346
dRegularChain`2`n`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`128437
dRegularTriangularSet`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`128652
dRepeatAst`0`n`()->Join(SpadSyntaxCategory,etc)``RPTAST`129083
dResidueRing`5`n`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,FPol:PolynomialCategory(F,Expon,VarSet),List(FPol))->Join(CommutativeRing,etc)`(F,Expon,VarSet,FPol,LFPol)`RESRING`129142
dRestrictAst`0`n`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`129344
dReturnAst`0`n`()->Join(SpadSyntaxCategory,etc)``RETAST`129397
dRewriteRule`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`129448
dRightOpenIntervalRootCharacterization`2`n`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`129623
dRomanNumeral`0`n`()->Join(IntegerNumberSystem,etc)``ROMAN`129720
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`129826
dRuleset`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`129867
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`129936
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`130032
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`130118
dScope`0`n`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`130186
dSegmentAst`0`n`()->Join(SpadSyntaxCategory,etc)``SEGAST`130341
dSegmentBinding`1`n`(Type)->Join(Type,etc)`(S)`SEGBIND`130392
dSegment`1`n`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`130547
dSemiGroupOperation`1`n`(BasicType)->Join(SemiGroupOperatorCategory(T),etc)`(T)`SGPOP`130620
dSequenceAst`0`n`()->Join(SpadSyntaxCategory,etc)``SEQAST`130671
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`130724
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`130981
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`131656
dSet`1`n`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`131770
dSignatureAst`0`n`()->Join(SpadSyntaxCategory,etc)``SIGAST`132824
dSignature`0`n`()->Join(SetCategory,etc)``SIG`133040
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`133259
dSingleInteger`0`n`()->Join(IntegerNumberSystem,etc)``SINT`133838
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`133909
dSpadAst`0`n`()->SpadAstExports``SPADAST`133997
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`134252
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`134600
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`134885
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`135003
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`135563
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`135937
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`136508
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`136670
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`137251
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`137725
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`138348
dSquareFreeRegularTriangularSet`4`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`139390
dSquareMatrix`2`n`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`139868
dStack`1`n`(Type)->Join(StackAggregate(S),etc)`(S)`STACK`140014
dStepAst`0`n`()->Join(SpadSyntaxCategory,etc)``STEPAST`140058
dStream`1`n`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`140130
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`140300
dString`0`n`()->Join(StringAggregate,etc)``STRING`140411
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`140458
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`140524
dSuchThatAst`0`n`()->Join(SpadSyntaxCategory,etc)``SUCHTAST`140556
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`140613
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`140660
dSymbol`0`n`()->Join(OrderedSet,etc)``SYMBOL`140730
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`140764
dSyntax`0`n`()->Join(UnionType,etc)``SYNTAX`140814
dSystemInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSINT`141676
dSystemNonNegativeInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSNNI`142168
dSystemPointer`0`n`()->SetCategory``SYSPTR`142662
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`142723
dTableau`1`n`(SetCategory)->etc`(S)`TABLEAU`142947
dTaylorSeries`1`n`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`143090
dTermAlgebraOperator`1`n`(SetCategory)->Join(OperatorCategory(S),etc)`(S)`TALGOP`143221
dTexFormat`0`n`()->Join(SetCategory,etc)``TEX`143334
dTextFile`0`n`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`144044
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`144182
dThreeDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`n`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`144332
dTree`1`n`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`144514
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`144676
dTuple`1`n`(Type)->Join(HomotopicTo(PrimitiveArray(S)),etc)`(S)`TUPLE`144823
dTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R)),etc)`(R)`ARRAY2`144946
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`145064
dTypeAst`0`n`()->SpadSyntaxCategory``TYPEAST`145130
dUInt16`0`n`()->Join(OrderedFinite,etc)``UINT16`145171
dUInt32`0`n`()->Join(OrderedFinite,etc)``UINT32`145255
dUInt64`0`n`()->Join(OrderedFinite,etc)``UINT64`145339
dUInt8`0`n`()->Join(OrderedFinite,etc)``UINT8`145423
dUnion`1`x`special`(A,B,...,C)`union`145506
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`145654
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`145979
dUnivariatePolynomial`2`n`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`146526
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`146741
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(RetractableTo(Integer),etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(FiniteAbelianMonoidRing(UnivariatePuiseuxSeries(FE,var,cen),ExponentialOfUnivariatePuiseuxSeries(FE,var,cen)),etc)`(R,FE,var,cen)`UPXSSING`147069
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`147598
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`148156
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`148331
dUniversalSegment`1`n`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`148799
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`148916
dVector`1`n`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`148955
dVoid`0`n`()->Join(CoercibleTo(OutputForm),etc)``VOID`149082
dWeightedPolynomials`7`n`(R:Ring,VarSet:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(R,E,VarSet),List(VarSet),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,VarSet,E,P,vl,wl,wtlevel)`WP`149306
dWhereAst`0`n`()->Join(SpadSyntaxCategory,etc)``WHEREAST`149568
dWhileAst`0`n`()->Join(SpadSyntaxCategory,etc)``WHILEAST`149633
dWuWenTsunTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`149691
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCat(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`150728
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`150932
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`151209
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`151510
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`151777
dYoungDiagram`0`n`()->Join(SetCategory,etc)``YDIAGRAM`151987
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xCollection&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
o#`1`n`(S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o#`1`n`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``152049
o#`1`n`(_$)->NonNegativeInteger`cAggregate`has(_$,ATTRIBUTE(finiteAggregate))`152096
o#`1`n`(_$)->NonNegativeInteger`dDomainTemplate``152155
o#`1`n`(_$)->NonNegativeInteger`dPartition``152225
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``152298
o**`2`n`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``152357
o**`2`n`(BasicOperator,Integer)->_$`dModuleOperator(R,M)``152457
o**`2`n`(BasicOperator,Integer)->_$`dOperator(R)``0
o**`2`n`(F,F)->F`pCombinatorialFunction(R,F)``152490
o**`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`152542
o**`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``152613
o**`2`n`(S,Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o**`2`n`(S,Fraction(Integer))->S`xRealClosedField&(S)``0
o**`2`n`(S,Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,Integer)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,Integer)->S`xDivisionRing&(S)``0
o**`2`n`(S,Integer)->S`xGroup&(S)``0
o**`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,Integer)->S`xRealClosedField&(S)``0
o**`2`n`(S,Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,Integer)->_$`dFreeGroup(S)``152730
o**`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,NonNegativeInteger)->_$`cFreeMonoidCategory(S)``152808
o**`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonoid&(S)``0
o**`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSemiGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o**`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``152886
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``152994
o**`2`n`(ULS,Fraction(Integer))->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`153102
o**`2`n`(UPXS,Fraction(Integer))->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`153184
o**`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``153267
o**`2`n`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`153337
o**`2`n`(_$,Fraction(Integer))->_$`cRadicalCategory``153558
o**`2`n`(_$,Integer)->_$`cDivisionRing``153644
o**`2`n`(_$,Integer)->_$`cGroup``153717
o**`2`n`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`153790
o**`2`n`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`153937
o**`2`n`(_$,Integer)->_$`dInputForm``154046
o**`2`n`(_$,Integer)->_$`dModuleOperator(R,M)``154121
o**`2`n`(_$,Integer)->_$`dOperator(R)``0
o**`2`n`(_$,NonNegativeInteger)->_$`cFunctionSpace(R)`has(R,SemiGroup)`154154
o**`2`n`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``154246
o**`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``154365
o**`2`n`(_$,NonNegativeInteger)->_$`cMonoid``154465
o**`2`n`(_$,NonNegativeInteger)->_$`dInputForm``154576
o**`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``154651
o**`2`n`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``154706
o**`2`n`(_$,PositiveInteger)->_$`cMonad``154777
o**`2`n`(_$,PositiveInteger)->_$`cSemiGroup``154877
o**`2`n`(_$,_$)->_$`cElementaryFunctionCategory``154988
o**`2`n`(_$,_$)->_$`dCardinalNumber``155046
o**`2`n`(_$,_$)->_$`dDoubleFloat``155156
o**`2`n`(_$,_$)->_$`dFloat``155249
o**`2`n`(_$,_$)->_$`dOutputForm``155319
o**`2`n`(_$,_$)->_$`dPattern(R)``155374
o*`2`n`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``155429
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``155515
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``155651
o*`2`n`(DoubleFloat,_$)->_$`dColor``155837
o*`2`n`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``155939
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)``155991
o*`2`n`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`156034
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,_$)->_$`cAbelianMonoid``156127
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``156195
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(PositiveInteger,_$)->_$`cAbelianSemiGroup``156226
o*`2`n`(PositiveInteger,_$)->_$`dColor``156386
o*`2`n`(R,Basis)->_$`cFreeModuleCat(R,Basis)``156488
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,Vector(polR))->Vector(polR)`pPseudoRemainderSequence(R,polR)``156550
o*`2`n`(R,_$)->_$`cGradedModule(R,E)``156646
o*`2`n`(R,_$)->_$`cMatrixCategory(R,Row,Col)``156694
o*`2`n`(R,_$)->_$`cVectorCategory(R)`has(R,Monoid)`156787
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Row,_$)->Row`cMatrixCategory(R,Row,Col)``156883
o*`2`n`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``157012
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,R)->_$`dFreeModule1(R,S)``157141
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`cFreeMonoidCategory(S)``157229
o*`2`n`(S,_$)->_$`cLeftLinearSet(S)``157305
o*`2`n`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`157368
o*`2`n`(S,_$)->_$`dFreeGroup(S)``157466
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``157542
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``157607
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``157736
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``157905
o*`2`n`(_$,Col)->Col`cMatrixCategory(R,Row,Col)``157970
o*`2`n`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``158102
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``158234
o*`2`n`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``158316
o*`2`n`(_$,R)->_$`cGradedModule(R,E)``158381
o*`2`n`(_$,R)->_$`cMatrixCategory(R,Row,Col)``158430
o*`2`n`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`158526
o*`2`n`(_$,R)->_$`cXFreeAlgebra(vl,R)``158619
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``158730
o*`2`n`(_$,S)->_$`cFreeMonoidCategory(S)``158792
o*`2`n`(_$,S)->_$`cRightLinearSet(S)``158869
o*`2`n`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`158933
o*`2`n`(_$,S)->_$`dFreeGroup(S)``159031
o*`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``159108
o*`2`n`(_$,_$)->_$`cMonad``159224
o*`2`n`(_$,_$)->_$`cSemiGroup``159315
o*`2`n`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``159378
o*`2`n`(_$,_$)->_$`dInputForm``159759
o*`2`n`(_$,_$)->_$`dMagma(VarSet)``159832
o*`2`n`(_$,_$)->_$`dOutputForm``159898
o*`2`n`(_$,_$)->_$`dPattern(R)``159952
o*`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``160005
o*`2`n`(vl,_$)->_$`cXFreeAlgebra(vl,R)``160079
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``160154
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``160407
o+`2`n`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`160468
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``160561
o+`2`n`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``160689
o+`2`n`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`160749
o+`2`n`(_$,_$)->_$`cAbelianSemiGroup``160842
o+`2`n`(_$,_$)->_$`cGradedModule(R,E)``160902
o+`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``161082
o+`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`161194
o+`2`n`(_$,_$)->_$`dColor``161342
o+`2`n`(_$,_$)->_$`dDatabase(S)``161420
o+`2`n`(_$,_$)->_$`dInputForm``161498
o+`2`n`(_$,_$)->_$`dOutputForm``161571
o+`2`n`(_$,_$)->_$`dPattern(R)``161625
o+`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``161678
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``161763
o-`1`n`(_$)->_$`cAbelianGroup``161866
o-`1`n`(_$)->_$`cGradedModule(R,E)``161918
o-`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``162027
o-`1`n`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`162088
o-`1`n`(_$)->_$`dOutputForm``162151
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``162204
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`162460
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``162560
o-`2`n`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`162695
o-`2`n`(_$,_$)->Union(_$,"failed")`dCardinalNumber``162795
o-`2`n`(_$,_$)->_$`cAbelianGroup``162904
o-`2`n`(_$,_$)->_$`cGradedModule(R,E)``162999
o-`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``163186
o-`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`163305
o-`2`n`(_$,_$)->_$`dDatabase(S)``163460
o-`2`n`(_$,_$)->_$`dOutputForm``163620
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`n`(_$,_$)->_$`cLogic``163674
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(A,S)->_$`dLocalAlgebra(A,R,S)``163753
o/`2`n`(M,S)->_$`dLocalize(M,R,S)``163814
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xDirectProductCategory&(S,dim,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(S,S)->_$`cQuotientFieldCategory(S)``163875
o/`2`n`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`163949
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``164037
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``164226
o/`2`n`(_$,Integer)->_$`dDoubleFloat``164287
o/`2`n`(_$,Integer)->_$`dFloat``164366
o/`2`n`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`164445
o/`2`n`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`164508
o/`2`n`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`164588
o/`2`n`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`164675
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`164762
o/`2`n`(_$,S)->_$`cVectorSpace(S)``164803
o/`2`n`(_$,S)->_$`dLocalAlgebra(A,R,S)``164872
o/`2`n`(_$,S)->_$`dLocalize(M,R,S)``164933
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`164994
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`165100
o/`2`n`(_$,_$)->_$`cField``165206
o/`2`n`(_$,_$)->_$`cGroup``165302
o/`2`n`(_$,_$)->_$`dEquation(S)`has(S,Field)`165374
o/`2`n`(_$,_$)->_$`dInputForm``165497
o/`2`n`(_$,_$)->_$`dOutputForm``165570
o/`2`n`(_$,_$)->_$`dPattern(R)``165624
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`cAbelianMonoid``165677
o0`0`n`()->_$`cGradedModule(R,E)``165719
o0`0`n`()->_$`dInputForm``165757
o0`0`n`()->_$`dPattern(R)``165815
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`cGradedAlgebra(R,E)``165823
o1`0`n`()->_$`cMonadWithUnit``165867
o1`0`n`()->_$`cMonoid``165917
o1`0`n`()->_$`dInputForm``165957
o1`0`n`()->_$`dPattern(R)``166015
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``166023
o<=`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o<=`2`n`(_$,_$)->Boolean`cOrderedType``166062
o<=`2`n`(_$,_$)->Boolean`dPermutationGroup(S)``166154
o<=`2`n`(_$,_$)->_$`dOutputForm``166364
o<`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o<`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o<`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->Boolean`cOrderedType``166419
o<`2`n`(_$,_$)->Boolean`cPermutationCategory(S)``166501
o<`2`n`(_$,_$)->Boolean`dPermutationGroup(S)``166655
o<`2`n`(_$,_$)->_$`dOutputForm``166758
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(S,S)->_$`dEquation(S)``166812
o=`2`n`(_$,_$)->Boolean`cBasicType``166850
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``166909
o=`2`n`(_$,_$)->Boolean`dReference(S)``166945
o=`2`n`(_$,_$)->_$`dOutputForm``167004
o>=`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o>=`2`n`(_$,_$)->Boolean`cOrderedType``167058
o>=`2`n`(_$,_$)->_$`dOutputForm``167153
o>`2`n`(S,S)->Boolean`xOrderedType&(S)``0
o>`2`n`(_$,_$)->Boolean`cOrderedType``167208
o>`2`n`(_$,_$)->_$`dOutputForm``167293
oAleph`1`n`(NonNegativeInteger)->_$`dCardinalNumber``167347
oAn`1`n`(_$)->Vector(R)`dModMonic(R,P)``167416
oB1solve`1`n`(Record(mat:Matrix(Fraction(Polynomial(R))),vec:List(Fraction(Polynomial(R))),rank:NonNegativeInteger,rows:List(Integer),cols:List(Integer)))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``167449
oBY`2`n`(_$,Integer)->_$`cSegmentCategory(S)``168049
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``168147
oBeta`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``168239
oBeta`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``168499
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``168759
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``168841
oBeta`2`n`(_$,_$)->_$`cSpecialFunctionCategory``168878
oBeta`2`n`(_$,_$)->_$`dDoubleFloat``168943
oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``169008
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``169122
oCi`1`n`(_$)->_$`cLiouvillianFunctionCategory``169169
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`n`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``169287
oD`1`n`(S)->S`xDifferentialSpace&(S)``0
oD`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
oD`1`n`(S)->T`xDifferentialDomain&(S,T)``0
oD`1`n`(_$)->T`cDifferentialDomain(T)``169378
oD`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialSpace&(A,S)``0
oD`2`n`(A,S)->T`xPartialDifferentialDomain&(A,T,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpace&(S)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(S,Symbol)->S`xDifferentialSpaceExtension&(S,R)``0
oD`2`n`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``169437
oD`2`n`(_$,List(S))->_$`cPartialDifferentialSpace(S)``169503
oD`2`n`(_$,NonNegativeInteger)->_$`cDifferentialSpace``169587
oD`2`n`(_$,S)->T`cPartialDifferentialDomain(T,S)``169663
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
oD`3`n`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``169728
oD`3`n`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``169798
oD`3`n`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``169908
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``169978
oEi`1`n`(_$)->_$`cLiouvillianFunctionCategory``170030
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``170151
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``170209
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``170267
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``170301
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``170387
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``170470
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`n`(_$)->_$`cExtensionField(F)`has(F,Finite)`170510
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`n`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`170598
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``170691
oGamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``170822
oGamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``170982
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``171142
oGamma`1`n`(_$)->_$`cSpecialFunctionCategory``171218
oGamma`1`n`(_$)->_$`dDoubleFloat``171269
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``171320
oGamma`2`n`(_$,_$)->_$`cSpecialFunctionCategory``171408
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``171466
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``172028
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``172148
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``172353
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``172777
oIs`2`n`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``172914
oIs`2`n`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`173042
oIs`2`n`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`173289
oIs`2`n`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`173536
oKrullNumber`2`n`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`n`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``173810
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``173925
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``173981
oLazardQuotient2`4`n`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`174104
oLazardQuotient`3`n`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`174287
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``174427
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``174520
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``174681
oLiePoly`1`n`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``174783
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``174883
oListOfTerms`1`n`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``174977
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``175155
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``175248
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``175457
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``175547
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``175646
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``175804
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``175945
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``176040
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``176210
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``176320
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`176415
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``176476
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``176679
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``176949
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`n`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``177036
oSEGMENT`1`n`(S)->_$`dUniversalSegment(S)``177296
oSEGMENT`1`n`(_$)->_$`dOutputForm``177381
oSEGMENT`2`n`(S,S)->_$`cSegmentCategory(S)``177442
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``177523
oSFunction`1`n`(List(PositiveInteger))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``177586
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``177732
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``177816
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``177943
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``178136
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``178217
oSi`1`n`(_$)->_$`cLiouvillianFunctionCategory``178262
oSturmHabichtCoefficients`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``178378
oSturmHabichtMultiple`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`178500
oSturmHabichtSequence`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``178771
oSturmHabicht`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``178875
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``179138
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``179199
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``179257
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,P)``179357
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``179399
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,P)``179607
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``179647
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``179714
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`n`(_$,_$)->_$`cLogic``179873
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``179951
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``179994
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``180034
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``180079
oabelianGroup`1`n`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``180126
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``180259
oabs`1`n`(S)->R`xOctonionCategory&(S,R)``0
oabs`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oabs`1`n`(S)->S`xComplexCategory&(S,R)``0
oabs`1`n`(S)->S`xOrderedAbelianGroup&(S)``0
oabs`1`n`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`180335
oabs`1`n`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`180463
oabs`1`n`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`180550
oabs`1`n`(_$)->_$`cOrderedAbelianGroup``180633
oabs`1`n`(_$)->_$`cSpecialFunctionCategory``180693
oabsolutelyIrreducible?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``180753
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``180834
oacosIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``180915
oacos`1`n`(F)->F`pElementaryFunction(R,F)``181003
oacos`1`n`(S)->S`xComplexCategory&(S,R)``0
oacos`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``181072
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``181142
oacos`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``181212
oacos`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``181284
oacos`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``181358
oacoshIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``181415
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``181505
oacosh`1`n`(S)->S`xComplexCategory&(S,R)``0
oacosh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``181586
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``181677
oacosh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``181768
oacosh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``181856
oacosh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``181946
oacotIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``182015
oacot`1`n`(F)->F`pElementaryFunction(R,F)``182103
oacot`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``182175
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``182248
oacot`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``182321
oacot`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``182396
oacot`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``182473
oacothIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``182533
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``182623
oacoth`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``182707
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``182801
oacoth`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``182895
oacoth`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``182986
oacoth`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``183079
oacscIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``183151
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``183239
oacsc`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oacsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``183310
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``183382
oacsc`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``183454
oacsc`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``183528
oacsc`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``183604
oacschIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``183663
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``183753
oacsch`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oacsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``183836
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``183929
oacsch`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``184022
oacsch`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``184112
oacsch`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``184204
oadaptive3D?`0`n`()->Boolean`dPlot3D``184275
oadaptive?`0`n`()->Boolean`dPlot``184350
oadaptive`0`n`()->Boolean`pGraphicsDefaults``184422
oadaptive`1`n`(Boolean)->Boolean`pGraphicsDefaults``184499
oadaptive`1`n`(Boolean)->_$`dDrawOption``184607
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``184787
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``184994
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``185139
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``185290
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``185662
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``185899
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``186075
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``186362
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``186520
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``187291
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``188030
oaddmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``188257
oadjoint`1`n`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`188332
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``188507
oadjoint`1`n`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`188566
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`n`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`188638
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oairyAi`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``188754
oairyAi`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``188909
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189064
oairyAi`1`n`(_$)->_$`cSpecialFunctionCategory``189135
oairyBi`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``189193
oairyBi`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``189348
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189503
oairyBi`1`n`(_$)->_$`cSpecialFunctionCategory``189574
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``189632
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`n`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``189943
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`n`(_$)->Boolean`cExtensionField(F)``190254
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`n`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``190371
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``190507
oalgebraicDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`n`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`n`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``190690
oalgebraicSort`1`n`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``190745
oalgebraicSort`1`n`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``190879
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`n`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``191012
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``191142
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``191317
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``191410
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(_$)`cRealClosedField``191498
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(_$))->List(_$)`cRealClosedField``191586
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``191674
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``191762
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``191850
oallRootsOf`1`n`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``191938
oalphabetic?`1`n`(_$)->Boolean`dCharacter``192046
oalphabetic`0`n`()->_$`dCharacterClass``192160
oalphanumeric?`1`n`(_$)->Boolean`dCharacter``192285
oalphanumeric`0`n`()->_$`dCharacterClass``192426
oalternatingGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``192555
oalternatingGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``193004
oalternating`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``193366
oalternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``193471
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``193701
oand`2`n`(S,S)->S`xBooleanLogic&(S)``0
oand`2`n`(_$,_$)->_$`cBooleanLogic``193931
oand`2`n`(_$,_$)->_$`dOutputForm``194002
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`194058
oantiAssociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``194166
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``194358
oantiCommutative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``194551
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``194712
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeRng``194873
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``194931
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``194969
oantisymmetric?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``195174
oantisymmetricTensors`2`n`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`195379
oantisymmetricTensors`2`n`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`195943
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`196525
oany`2`n`(SExpression,None)->_$`dAny``196767
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``196957
oappend`2`n`(_$,_$)->_$`dList(S)``197137
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,List(_$))->_$`cFunctionSpace(R)``197293
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,_$)->_$`cFunctionSpace(R)``197368
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`n`(Symbol,_$,_$)->_$`cFunctionSpace(R)``197425
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`n`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``197487
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`n`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``197554
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``197626
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``197839
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``197960
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``198218
oapply`3`n`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``198375
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``198489
oapproxNthRoot`2`n`(I,NonNegativeInteger)->I`pIntegerRoots(I)``198617
oapproxSqrt`1`n`(I)->I`pIntegerRoots(I)``198739
oapproximants`1`n`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``199053
oapproximate`2`n`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`199264
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``199399
oapproximate`2`n`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``199499
oapproximate`2`n`(_$,_$)->Fraction(Integer)`cRealClosedField``199637
oapproximate`3`n`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``199764
oarbitrary`0`n`()->_$`dArity``199896
oareEquivalent?`2`n`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`199979
oareEquivalent?`3`n`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`200107
oareEquivalent?`4`n`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`200249
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``201546
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``201598
oargscript`2`n`(_$,List(OutputForm))->_$`dSymbol``201651
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``201744
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``201874
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``202003
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``202136
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``202210
oargument`1`n`(_$)->List(S)`dKernel(S)``202288
oargument`1`n`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`202354
oarguments`1`n`(_$)->List(Syntax)`dConstructorCall(C)``202434
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`n`(_$)->Arity`cOperatorCategory(S)``202546
oaromberg`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``202615
oarrayStack`1`n`(List(S))->_$`dArrayStack(S)``203401
oasecIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``203558
oasec`1`n`(F)->F`pElementaryFunction(R,F)``203647
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``203717
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``203788
oasec`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``203859
oasec`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``203932
oasec`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``204007
oasechIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``204065
oasech`1`n`(F)->F`pElementaryFunction(R,F)``204156
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``204238
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``204330
oasech`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``204422
oasech`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``204511
oasech`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``204602
oasimpson`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``204672
oasinIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``205458
oasin`1`n`(F)->F`pElementaryFunction(R,F)``205547
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``205615
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``205684
oasin`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``205753
oasin`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``205824
oasin`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``205897
oasinhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``205953
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``206044
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``206124
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``206214
oasinh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``206304
oasinh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``206391
oasinh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``206480
oassert`2`n`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``206548
oassert`2`n`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``206656
oassert`2`n`(_$,Identifier)->_$`dBasicOperator``206728
oassign`2`n`(_$,_$)->_$`dOutputForm``206877
oassoc`2`n`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``206952
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`207108
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``207298
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`n`(_$,_$)->Boolean`cIntegralDomain``207442
oassociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``207570
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``207650
oassociatorDependence`0`n`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`207730
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``208071
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`n`(_$,_$,_$)->_$`cNonAssociativeRng``208412
oatanIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``208476
oatan`1`n`(F)->F`pElementaryFunction(R,F)``208565
oatan`1`n`(S)->S`xComplexCategory&(S,R)``0
oatan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``208636
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``208708
oatan`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``208780
oatan`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``208854
oatan`1`n`(_$)->_$`cArcTrigonometricFunctionCategory``208930
oatan`2`n`(_$,_$)->_$`dDoubleFloat``208989
oatan`2`n`(_$,_$)->_$`dFloat``209073
oatanhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``209157
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``209248
oatanh`1`n`(S)->S`xComplexCategory&(S,R)``0
oatanh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oatanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``209331
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``209424
oatanh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``209517
oatanh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``209607
oatanh`1`n`(_$)->_$`cArcHyperbolicFunctionCategory``209699
oatom?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``209770
oatoms`1`n`(PropositionalFormula(T))->Set(T)`pPropositionalFormulaFunctions1(T)``209836
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``209921
oatrapezoidal`8`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``210014
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``210808
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``210943
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``211039
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``211209
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``211303
oautoCoerce`1`n`(_$)->AttributeAst`cSpadAstExports``211732
oautoCoerce`1`n`(_$)->CapsuleAst`cSpadAstExports``211838
oautoCoerce`1`n`(_$)->CaseAst`cSpadAstExports``211942
oautoCoerce`1`n`(_$)->CategoryAst`cSpadAstExports``212043
oautoCoerce`1`n`(_$)->CoerceAst`cSpadAstExports``212148
oautoCoerce`1`n`(_$)->CollectAst`cSpadAstExports``212251
oautoCoerce`1`n`(_$)->ColonAst`cSpadAstExports``212355
oautoCoerce`1`n`(_$)->ConstructAst`cSpadAstExports``212458
oautoCoerce`1`n`(_$)->DefinitionAst`cSpadAstExports``212564
oautoCoerce`1`n`(_$)->DoubleFloat`dSyntax``212671
oautoCoerce`1`n`(_$)->ExitAst`cSpadAstExports``212824
oautoCoerce`1`n`(_$)->HasAst`cSpadAstExports``212925
oautoCoerce`1`n`(_$)->Identifier`cSpadAstExports``213025
oautoCoerce`1`n`(_$)->Identifier`dParameterAst``213129
oautoCoerce`1`n`(_$)->Identifier`dSyntax``213289
oautoCoerce`1`n`(_$)->IfAst`cSpadAstExports``213453
oautoCoerce`1`n`(_$)->ImportAst`cSpadAstExports``213552
oautoCoerce`1`n`(_$)->InAst`cSpadAstExports``213655
oautoCoerce`1`n`(_$)->Integer`cSpadAstExports``213754
oautoCoerce`1`n`(_$)->Integer`dSyntax``213855
oautoCoerce`1`n`(_$)->IsAst`cSpadAstExports``214012
oautoCoerce`1`n`(_$)->JoinAst`cSpadAstExports``214111
oautoCoerce`1`n`(_$)->LetAst`cSpadAstExports``214245
oautoCoerce`1`n`(_$)->MacroAst`cSpadAstExports``214345
oautoCoerce`1`n`(_$)->MappingAst`cSpadAstExports``214447
oautoCoerce`1`n`(_$)->PretendAst`cSpadAstExports``214551
oautoCoerce`1`n`(_$)->RepeatAst`cSpadAstExports``214655
oautoCoerce`1`n`(_$)->RestrictAst`cSpadAstExports``214758
oautoCoerce`1`n`(_$)->ReturnAst`cSpadAstExports``214863
oautoCoerce`1`n`(_$)->SegmentAst`cSpadAstExports``214966
oautoCoerce`1`n`(_$)->SequenceAst`cSpadAstExports``215070
oautoCoerce`1`n`(_$)->SignatureAst`cSpadAstExports``215175
oautoCoerce`1`n`(_$)->StepAst`cSpadAstExports``215281
oautoCoerce`1`n`(_$)->String`cSpadAstExports``215385
oautoCoerce`1`n`(_$)->String`dParameterAst``215485
oautoCoerce`1`n`(_$)->String`dSyntax``215637
oautoCoerce`1`n`(_$)->SuchThatAst`cSpadAstExports``215792
oautoCoerce`1`n`(_$)->T`dMaybe(T)``215897
oautoCoerce`1`n`(_$)->WhereAst`cSpadAstExports``216027
oautoCoerce`1`n`(_$)->WhileAst`cSpadAstExports``216129
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`n`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``216231
oaxesColorDefault`0`n`()->Palette`pViewDefaultsPackage``216408
oaxesColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``216497
oaxes`2`n`(_$,String)->Void`dThreeDimensionalViewport``216608
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``216837
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``217082
obackOldPos`1`n`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``217340
oback`1`n`(_$)->S`cQueueAggregate(S)``217580
obackspace`0`n`()->_$`dCharacter``217728
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``217788
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``217826
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``217864
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`n`(List(S))->_$`cBagAggregate(S)``217996
obalancedBinaryTree`2`n`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``218093
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``218209
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``218385
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``218541
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``218748
obase`0`n`()->PositiveInteger`cFloatingPointSystem``218930
obase`0`n`()->_$`cIntegerNumberSystem``219020
obase`1`n`(_$)->List(S)`dPermutationGroup(S)``219108
obase`1`n`(_$)->SpadAst`dAddAst``219170
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``219256
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`3`n`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``219588
obasisOfCenter`0`n`()->List(A)`pAlgebraPackage(R,A)``219777
obasisOfCentroid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``220016
obasisOfCommutingElements`0`n`()->List(A)`pAlgebraPackage(R,A)``220172
obasisOfLeftAnnihilator`1`n`(A)->List(A)`pAlgebraPackage(R,A)``220338
obasisOfLeftNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``220462
obasisOfLeftNucloid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``220635
obasisOfMiddleNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``220816
obasisOfNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``220991
obasisOfRightAnnihilator`1`n`(A)->List(A)`pAlgebraPackage(R,A)``221200
obasisOfRightNucleus`0`n`()->List(A)`pAlgebraPackage(R,A)``221325
obasisOfRightNucloid`0`n`()->List(Matrix(R))`pAlgebraPackage(R,A)``221499
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``221682
obasis`0`n`()->Vector(_$)`cFramedAlgebra(R,UP)``221757
obasis`0`n`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``221820
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``221883
obasis`1`n`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``221978
obasis`1`n`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`222068
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``222140
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``222212
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``222278
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``222385
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``222435
obefore?`2`n`(S,S)->Boolean`xBasicType&(S)``0
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
obefore?`2`n`(S,S)->Boolean`xOrderedType&(S)``0
obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
obefore?`2`n`(_$,_$)->Boolean`cBasicType``222535
obelong?`1`n`(BasicOperator)->Boolean`cExpressionSpace``222678
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``222765
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``222909
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``222992
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``223072
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``223158
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``223219
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obernoulliB`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`223306
obernoulli`1`n`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``223350
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``223503
obesselI`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``223809
obesselI`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``224018
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``224227
obesselI`2`n`(_$,_$)->_$`cSpecialFunctionCategory``224316
obesselJ`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``224394
obesselJ`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``224594
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``224794
obesselJ`2`n`(_$,_$)->_$`cSpecialFunctionCategory``224883
obesselK`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``224952
obesselK`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``225327
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``225703
obesselK`2`n`(_$,_$)->_$`cSpecialFunctionCategory``225792
obesselY`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``225871
obesselY`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``226243
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``226615
obesselY`2`n`(_$,_$)->_$`cSpecialFunctionCategory``226704
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`226774
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``226910
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`227015
obiRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``227167
obigEndian`0`n`()->_$`dByteOrder``227543
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``227593
obinaryOperation`1`n`((T,T)->T)->_$`dBinaryOperation(T)``227645
obinarySearchTree`1`n`(List(S))->_$`dBinarySearchTree(S)``227756
obinaryTournament`1`n`(List(S))->_$`dBinaryTournament(S)``227804
obinaryTree`1`n`(S)->_$`dBinaryTree(S)``227922
obinaryTree`3`n`(_$,S,_$)->_$`dBinaryTree(S)``228027
obinary`1`n`(Fraction(Integer))->_$`dBinaryExpansion``228156
obinary`2`n`(_$,List(_$))->_$`dInputForm``228230
obinding`2`n`(Identifier,List(Property))->_$`dBinding``228338
obindings`1`n`(_$)->List(Binding)`dContour``228431
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`n`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`228508
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``228605
obinomial`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``228766
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``228968
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`cCombinatorialFunctionCategory``229010
obinomial`2`n`(_$,_$)->_$`dOutputForm``229198
obipolarCylindrical`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``229296
obipolar`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``229583
obirth`1`n`(_$)->_$`dSubSpace(n,R)``229822
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`n`(_$,_$)->Boolean`cIntegerNumberSystem``229859
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``229954
obitLength`1`n`(Integer)->Integer`pIntegerBits``230030
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``230111
obitand`2`n`(_$,_$)->_$`dByte``230204
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``230272
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`n`(_$,_$)->_$`dByte``230340
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``230425
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obits`0`n`()->PositiveInteger`cFloatingPointSystem``230502
obits`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`230560
obits`2`n`(NonNegativeInteger,Boolean)->_$`dBits``230653
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``230723
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``230837
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``231001
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``231213
oblue`0`n`()->_$`dColor``231308
oblue`1`n`(_$)->T`cRGBColorModel(T)``231383
obody`1`n`(_$)->List(SpadAst)`dCapsuleAst``231442
obody`1`n`(_$)->List(SpadAst)`dCategoryAst``231524
obody`1`n`(_$)->List(SpadAst)`dCommaAst``231598
obody`1`n`(_$)->List(SpadAst)`dSequenceAst``231667
obody`1`n`(_$)->SpadAst`dAddAst``231757
obody`1`n`(_$)->SpadAst`dCollectAst``231837
obody`1`n`(_$)->SpadAst`dDefinitionAst``231928
obody`1`n`(_$)->SpadAst`dMacroAst``232001
obody`1`n`(_$)->SpadAst`dReduceAst``232074
obody`1`n`(_$)->SpadAst`dRepeatAst``232142
obody`1`n`(_$)->Syntax`dAnonymousFunction``232198
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``232266
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``232343
obothWays`0`n`()->_$`dIOMode``232427
obottom!`1`n`(_$)->S`cDequeueAggregate(S)``232509
oboundOfCauchy`1`n`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`232591
obounds`1`n`(_$)->List(SpadAst)`dSegmentAst``232659
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(List(_$))->_$`cExpressionSpace``232804
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`cExpressionSpace``233105
obox`1`n`(_$)->_$`dOutputForm``233342
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`n`()->_$`cSetAggregate(S)``233391
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(S))->_$`cSetAggregate(S)``233567
obrace`1`n`(List(_$))->_$`dOutputForm``233741
obrace`1`n`(_$)->_$`dOutputForm``233872
obracket`1`n`(List(_$))->_$`dOutputForm``233959
obracket`1`n`(_$)->_$`dOutputForm``234093
obranchIfCan`8`n`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``234174
obranchIfCan`8`n`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``234340
obranchPoint?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``234506
obranchPoint?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``234582
obranchPointAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``234661
obright`1`n`(Color)->_$`dPalette``234746
obright`1`n`(List(String))->List(String)`pDisplayPackage``234840
obright`1`n`(String)->List(String)`pDisplayPackage``234942
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``235031
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``235191
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``235492
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``235588
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``235725
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``235766
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``235809
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``236069
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`236593
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``236636
obuildSyntax`2`n`(Identifier,List(_$))->_$`dSyntax``236681
obuildSyntax`2`n`(_$,List(_$))->_$`dSyntax``236786
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``236891
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``236932
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``237097
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``237238
obyteBuffer`1`n`(NonNegativeInteger)->_$`dByteBuffer``237379
obyte`1`n`(NonNegativeInteger)->_$`dByte``237462
obytes`1`n`(_$)->DataArray(4,Byte)`dIP4Address``237590
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`237659
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`237785
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`237928
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238057
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238203
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238331
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238476
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238602
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238745
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`238869
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239010
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239137
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239281
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239403
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239537
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239662
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239799
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`239923
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240059
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240186
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240311
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240453
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240558
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240680
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240814
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`240934
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241066
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`241189
ocache`0`n`()->List(S)`pSortedCache(S)``241324
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``241383
ocallForm?`1`n`(_$)->Boolean`dElaboratedExpression``241425
ocap`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``241498
ocapacity`1`n`(_$)->NonNegativeInteger`dByteBuffer``241610
ocar`1`n`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``241687
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`n`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``241737
ocarriageReturn`0`n`()->_$`dCharacter``241853
ocartesian`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``241910
ocase`2`n`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``241992
ocase`2`n`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``242064
ocase`2`n`(_$,[||](CaseAst))->Boolean`cSpadAstExports``242138
ocase`2`n`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``242210
ocase`2`n`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``242288
ocase`2`n`(_$,[||](CollectAst))->Boolean`cSpadAstExports``242364
ocase`2`n`(_$,[||](ColonAst))->Boolean`cSpadAstExports``242442
ocase`2`n`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``242516
ocase`2`n`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``242593
ocase`2`n`(_$,[||](DoubleFloat))->Boolean`dSyntax``242666
ocase`2`n`(_$,[||](ExitAst))->Boolean`cSpadAstExports``242745
ocase`2`n`(_$,[||](HasAst))->Boolean`cSpadAstExports``242818
ocase`2`n`(_$,[||](Identifier))->Boolean`cSpadAstExports``242888
ocase`2`n`(_$,[||](Identifier))->Boolean`dParameterAst``242959
ocase`2`n`(_$,[||](Identifier))->Boolean`dSyntax``243065
ocase`2`n`(_$,[||](IfAst))->Boolean`cSpadAstExports``243143
ocase`2`n`(_$,[||](ImportAst))->Boolean`cSpadAstExports``243211
ocase`2`n`(_$,[||](InAst))->Boolean`cSpadAstExports``243289
ocase`2`n`(_$,[||](Integer))->Boolean`cSpadAstExports``243354
ocase`2`n`(_$,[||](Integer))->Boolean`dSyntax``243427
ocase`2`n`(_$,[||](IsAst))->Boolean`cSpadAstExports``243499
ocase`2`n`(_$,[||](JoinAst))->Boolean`cSpadAstExports``243568
ocase`2`n`(_$,[||](LetAst))->Boolean`cSpadAstExports``243673
ocase`2`n`(_$,[||](MacroAst))->Boolean`cSpadAstExports``243751
ocase`2`n`(_$,[||](MappingAst))->Boolean`cSpadAstExports``243825
ocase`2`n`(_$,[||](PretendAst))->Boolean`cSpadAstExports``243897
ocase`2`n`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``243975
ocase`2`n`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``244046
ocase`2`n`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``244126
ocase`2`n`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``244201
ocase`2`n`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``244279
ocase`2`n`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``244362
ocase`2`n`(_$,[||](StepAst))->Boolean`cSpadAstExports``244440
ocase`2`n`(_$,[||](String))->Boolean`cSpadAstExports``244534
ocase`2`n`(_$,[||](String))->Boolean`dParameterAst``244604
ocase`2`n`(_$,[||](String))->Boolean`dSyntax``244688
ocase`2`n`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``244757
ocase`2`n`(_$,[||](T))->Boolean`dMaybe(T)``244838
ocase`2`n`(_$,[||](WhereAst))->Boolean`cSpadAstExports``244930
ocase`2`n`(_$,[||](WhileAst))->Boolean`cSpadAstExports``245022
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``245093
ocase`2`n`(_$,[||](nothing))->Boolean`dMaybe(T)``245157
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``245230
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``245293
ocategories`1`n`(_$)->List(TypeAst)`dJoinAst``245361
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``245424
ocategoryFrame`0`n`()->_$`dEnvironment``245558
ocategoryMode`0`n`()->_$`dInternalTypeForm``245618
ocategory`0`n`()->_$`dConstructorKind``245683
ocdr`1`n`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``245738
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`245797
oceiling`1`n`(_$)->_$`cRealNumberSystem``245876
ocenter`1`n`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``245939
ocenter`1`n`(_$)->_$`dOutputForm``246026
ocenter`2`n`(_$,Integer)->_$`dOutputForm``246088
ocenter`3`n`(List(String),Integer,String)->List(String)`pDisplayPackage``246168
ocenter`3`n`(String,Integer,String)->String`pDisplayPackage``246448
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``246761
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``246986
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``247029
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``247171
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``247322
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``247405
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``247488
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``247626
ocharClass`1`n`(List(Character))->_$`dCharacterClass``247759
ocharClass`1`n`(String)->_$`dCharacterClass``247878
ochar`1`n`(NonNegativeInteger)->_$`dCharacter``247999
ochar`1`n`(String)->_$`dCharacter``248139
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``248220
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``248316
ocharacteristicPolynomial`1`n`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``248425
ocharacteristicPolynomial`1`n`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``248606
ocharacteristicPolynomial`1`n`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``248772
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(_$)->UP`cFiniteRankAlgebra(R,UP)``248932
ocharacteristicPolynomial`2`n`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``249081
ocharacteristicPolynomial`2`n`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``249257
ocharacteristicPolynomial`2`n`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``249440
ocharacteristicPolynomial`2`n`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``249596
ocharacteristicSerie`1`n`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``249867
ocharacteristicSerie`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``249997
ocharacteristicSet`1`n`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``250377
ocharacteristicSet`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``250503
ocharacteristic`0`n`()->NonNegativeInteger`cNonAssociativeRing``251272
ocharacteristic`0`n`()->NonNegativeInteger`cRing``251343
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``251551
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Maybe(S)`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(_$)->Maybe(_$)`cCharacteristicNonZero``251798
ocharthRoot`1`n`(_$)->Maybe(_$)`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`251916
ocharthRoot`1`n`(_$)->_$`cFiniteFieldCategory``252043
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``252169
ochebyshevT`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``252461
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``252650
ochebyshevU`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``252937
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``253121
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``253376
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``253647
ocheck`1`n`(_$)->_$`cThreeSpaceCategory(R)``253766
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``253892
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``253928
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``253970
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`n`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`254011
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``254089
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`cRecursiveAggregate(S)``254128
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``254208
ochineseRemainder`2`n`(List(List(R)),List(R))->List(R)`pCRApackage(R)``254248
ochineseRemainder`2`n`(List(R),List(R))->R`pCRApackage(R)``254505
ochineseRemainder`3`n`(List(UP),List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))),NonNegativeInteger)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pChineseRemainderToolsForIntegralBases(K,R,UP)``254779
ochineseRemainder`4`n`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``254833
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``255028
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``255066
oclearCache`0`n`()->Void`pSortedCache(S)``255419
oclearDenominator`1`n`(A)->A`pCommonDenominator(R,Q,A)``255465
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``255623
oclearDenominator`1`n`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``255781
oclearDenominator`1`n`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``255926
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``256075
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``256170
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``256239
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``256319
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``256366
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``256580
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``256949
oclipPointsDefault`0`n`()->Boolean`pGraphicsDefaults``257346
oclipPointsDefault`1`n`(Boolean)->Boolean`pGraphicsDefaults``257440
oclipSurface`2`n`(_$,String)->Void`dThreeDimensionalViewport``257605
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``257908
oclip`1`n`(Boolean)->_$`dDrawOption``258254
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``258418
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``258693
oclip`1`n`(List(Segment(Float)))->_$`dDrawOption``258974
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``259132
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``259416
oclose!`1`n`(_$)->_$`cConduit``259725
oclose!`1`n`(_$)->_$`cFileCategory(Name,S)``259859
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``259937
oclose`1`n`(_$)->Void`dThreeDimensionalViewport``260402
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``260610
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``260814
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``260853
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``260892
oclosedCurve?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``260971
oclosedCurve`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``261207
oclosedCurve`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``261470
oclosedCurve`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``261813
oclosedCurve`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``262344
oclosed`0`n`()->_$`dIOMode``262609
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``262677
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`n`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`262766
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``262847
ocoef`2`n`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``262888
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``263055
ocoef`2`n`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``263171
ocoef`2`n`(_$,_$)->R`cXFreeAlgebra(vl,R)``263253
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``263383
ocoefficient`2`n`(_$,Basis)->R`cFreeModuleCat(R,Basis)``263533
ocoefficient`2`n`(_$,E)->R`cAbelianMonoidRing(R,E)``263613
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``263780
ocoefficient`2`n`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``263825
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``263939
ocoefficient`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``264065
ocoefficient`2`n`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``264139
ocoefficient`2`n`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``264246
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``264353
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``264427
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``264618
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``264837
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``264963
ocoefficient`3`n`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``265178
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``265262
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``265417
ocoefficients`1`n`(_$)->List(R)`cFreeModuleCat(R,Basis)``265511
ocoefficients`1`n`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``265587
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``265679
ocoefficients`1`n`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``265742
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``265892
ocoerceImages`1`n`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`266233
ocoerceImages`1`n`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`266545
ocoerceL`1`n`(OutputForm)->String`dMathMLFormat``266857
ocoerceListOfPairs`1`n`(List(List(S)))->_$`dPermutation(S)``266986
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``267280
ocoercePreimagesImages`1`n`(List(List(S)))->_$`dPermutation(S)``267413
ocoerceS`1`n`(OutputForm)->String`dMathMLFormat``267627
ocoerce`1`n`(A)->()->A`pMappingPackage1(A)``267747
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOperatorCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``267830
ocoerce`1`n`(A)->_$`dAssociatedJordanAlgebra(R,A)``267917
ocoerce`1`n`(A)->_$`dAssociatedLieAlgebra(R,A)``268080
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Character)->_$`cStringAggregate``268237
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Col)->_$`cMatrixCategory(R,Row,Col)``268328
ocoerce`1`n`(Exit)->S`pResolveLatticeCompletion(S)``268405
ocoerce`1`n`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``268562
ocoerce`1`n`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``269006
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``269453
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``269540
ocoerce`1`n`(FourierComponent(E))->_$`dFourierSeries(R,E)``269602
ocoerce`1`n`(Fraction(Factored(R)))->_$`dPartialFraction(R)``269669
ocoerce`1`n`(Fraction(Integer))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Fraction(Integer))->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Fraction(Integer))->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Fraction(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Fraction(Integer))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Fraction(Integer))->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``269961
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`270111
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`270173
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``270235
ocoerce`1`n`(Integer)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(Integer)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(Integer)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Integer)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(Integer)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Integer)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(Integer)->S`xNonAssociativeRing&(S)``0
ocoerce`1`n`(Integer)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(Integer)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Integer)->S`xRing&(S)``0
ocoerce`1`n`(Integer)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(Integer)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(Integer)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Integer)->_$`cNonAssociativeRing``270370
ocoerce`1`n`(Integer)->_$`dOrdSetInts``270450
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``270520
ocoerce`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``270578
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``270671
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``270928
ocoerce`1`n`(List(List(S)))->_$`dPermutation(S)``271432
ocoerce`1`n`(List(Permutation(S)))->_$`dPermutationGroup(S)``271756
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``271858
ocoerce`1`n`(List(S))->_$`dPermutation(S)``271952
ocoerce`1`n`(List(TypeAst))->_$`dImportAst``272180
ocoerce`1`n`(List(TypeAst))->_$`dJoinAst``272253
ocoerce`1`n`(OutputForm)->String`dMathMLFormat``272320
ocoerce`1`n`(Pi)->Expression(R)`pPiCoercions(R)``272410
ocoerce`1`n`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``272479
ocoerce`1`n`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``272605
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`272706
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``272768
ocoerce`1`n`(R)->S`xAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(R)->S`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(R)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(R)->S`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(R)->S`xOctonionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(R)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(R)->_$`cLeftAlgebra(R)``272854
ocoerce`1`n`(R)->_$`dFourierSeries(R,E)``272944
ocoerce`1`n`(S)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(S)->A`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(S)->A`xFullyRetractableTo&(A,S)``0
ocoerce`1`n`(S)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(S)->Any`pAnyFunctions1(S)``273010
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->None`pNoneFunctions1(S)``273113
ocoerce`1`n`(S)->OutputForm`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(S)->OutputForm`xAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->OutputForm`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xLeftAlgebra&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xNonAssociativeRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xOctonionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xQuaternionCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->OutputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->OutputForm`xRing&(S)``0
ocoerce`1`n`(S)->OutputForm`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xStringAggregate&(S)``0
ocoerce`1`n`(S)->OutputForm`xTableAggregate&(S,Key,Entry)``0
ocoerce`1`n`(S)->OutputForm`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->OutputForm`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocoerce`1`n`(S)->OutputForm`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->OutputForm`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xComplexCategory&(S,R)``0
ocoerce`1`n`(S)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(S)->S`xRealNumberSystem&(S)``0
ocoerce`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Syntax`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(S)->TexFormat`pTexFormat1(S)``273194
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->Void`pResolveLatticeCompletion(S)``273421
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``273756
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``273820
ocoerce`1`n`(Segment(S))->_$`dUniversalSegment(S)``273902
ocoerce`1`n`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``273977
ocoerce`1`n`(Signature)->_$`dMappingAst``274111
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`274180
ocoerce`1`n`(String)->_$`dFortranScalarType``274242
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``274531
ocoerce`1`n`(Symbol)->_$`dTaylorSeries(Coef)``274795
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``274858
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``274996
ocoerce`1`n`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``275134
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``275211
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``275320
ocoerce`1`n`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``275385
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``275463
ocoerce`1`n`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``275503
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``275592
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``275681
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``275783
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``275872
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``275974
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``276148
ocoerce`1`n`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``276289
ocoerce`1`n`(_$)->DoubleFloat`dSyntax``276496
ocoerce`1`n`(_$)->Fraction(R)`dPartialFraction(R)``276564
ocoerce`1`n`(_$)->Identifier`dSyntax``276666
ocoerce`1`n`(_$)->Integer`dSyntax``276734
ocoerce`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``276805
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``276876
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``276992
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``277120
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``277272
ocoerce`1`n`(_$)->OutputForm`cThreeSpaceCategory(R)``277423
ocoerce`1`n`(_$)->OutputForm`dGraphImage``277508
ocoerce`1`n`(_$)->OutputForm`dTableau(S)``277656
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``277727
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``277909
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``277947
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``277985
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``278023
ocoerce`1`n`(_$)->S`cCoercibleTo(S)``278104
ocoerce`1`n`(_$)->String`dSyntax``278170
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``278239
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``278307
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``278350
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``278407
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``278491
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``278580
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``278666
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``278755
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``278839
ocoerce`1`n`(vl)->_$`cXFreeAlgebra(vl,R)``278923
ocoleman`3`n`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``278965
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`n`(_$)->_$`cTriangularSetCategory(R,E,V,P)``279726
ocollectUnder`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUnder`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUnder`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``279860
ocollectUpper`2`n`(S,V)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectUpper`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollectUpper`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``280010
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`n`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``280163
ocolorDef`3`n`(_$,Color,Color)->Void`dThreeDimensionalViewport``280301
ocolorFunction`1`n`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``280610
ocolorFunction`1`n`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``280793
ocolorFunction`1`n`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``281001
ocolor`1`n`(Integer)->_$`dColor``281225
ocolor`1`n`(Point(R))->R`pPointPackage(R)``281295
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`n`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``281608
ocolumn`2`n`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``281734
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``281856
ocommonDenominator`1`n`(A)->R`pCommonDenominator(R,Q,A)``281951
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``282060
ocommonDenominator`1`n`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``282169
ocommonDenominator`1`n`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``282272
ocommutative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``282379
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``282463
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``282547
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`cGroup``282664
ocommutator`2`n`(_$,_$)->_$`cNonAssociativeRng``282735
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``282789
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``283031
ocompactFraction`1`n`(_$)->_$`dPartialFraction(R)``283075
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``283276
ocomparison`2`n`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``283440
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``283703
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``283742
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``284058
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``284249
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`284457
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``284588
ocompleteEchelonBasis`1`n`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``284708
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``285103
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``285372
ocompleteHermite`1`n`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``285574
ocompleteSmith`1`n`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``285743
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``285940
ocomplete`1`n`(_$)->_$`cLazyStreamAggregate(S)``286179
ocomplete`1`n`(_$)->_$`cPAdicIntegerCategory(p)``286326
ocomplete`1`n`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``286390
ocomplete`1`n`(_$)->_$`dContinuedFraction(R)``286539
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``286792
ocomplexEigenvalues`2`n`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``286884
ocomplexEigenvectors`2`n`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``287130
ocomplexElementary`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``287496
ocomplexElementary`1`n`(F)->F`pTrigonometricManipulations(R,F)``287641
ocomplexElementary`2`n`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``287786
ocomplexElementary`2`n`(F,Symbol)->F`pTrigonometricManipulations(R,F)``287968
ocomplexExpand`1`n`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``288150
ocomplexExpand`1`n`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``288246
ocomplexForm`1`n`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``288342
ocomplexForm`1`n`(F)->Complex(F)`pTrigonometricManipulations(R,F)``288404
ocomplexIntegrate`2`n`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``288466
ocomplexIntegrate`2`n`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`288589
ocomplexLimit`2`n`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``288712
ocomplexLimit`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``288803
ocomplexLimit`2`n`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``288927
ocomplexNormalize`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``289051
ocomplexNormalize`1`n`(F)->F`pTrigonometricManipulations(R,F)``289167
ocomplexNormalize`2`n`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``289283
ocomplexNormalize`2`n`(F,Symbol)->F`pTrigonometricManipulations(R,F)``289421
ocomplexNumericIfCan`1`n`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`289559
ocomplexNumericIfCan`1`n`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`289694
ocomplexNumericIfCan`1`n`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`289829
ocomplexNumericIfCan`1`n`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`289964
ocomplexNumericIfCan`1`n`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`290099
ocomplexNumericIfCan`1`n`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`290232
ocomplexNumericIfCan`2`n`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`290367
ocomplexNumericIfCan`2`n`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`290535
ocomplexNumericIfCan`2`n`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`290703
ocomplexNumericIfCan`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`290871
ocomplexNumericIfCan`2`n`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`291009
ocomplexNumericIfCan`2`n`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`291177
ocomplexNumeric`1`n`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`291345
ocomplexNumeric`1`n`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`291422
ocomplexNumeric`1`n`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`291499
ocomplexNumeric`1`n`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`291576
ocomplexNumeric`1`n`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`291653
ocomplexNumeric`1`n`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`291730
ocomplexNumeric`1`n`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`291807
ocomplexNumeric`1`n`(S)->Complex(Float)`pNumeric(S)``291884
ocomplexNumeric`2`n`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`291961
ocomplexNumeric`2`n`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`292071
ocomplexNumeric`2`n`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`292181
ocomplexNumeric`2`n`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`292291
ocomplexNumeric`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`292401
ocomplexNumeric`2`n`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`292480
ocomplexNumeric`2`n`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`292590
ocomplexNumeric`2`n`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``292700
ocomplexRoots`2`n`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``292810
ocomplexRoots`3`n`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``292992
ocomplexSolve`2`n`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``293304
ocomplexSolve`2`n`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``293542
ocomplexSolve`2`n`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``293762
ocomplexSolve`2`n`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``293988
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``294210
ocomplexZeros`2`n`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``294409
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``294614
ocomplex`2`n`(R,R)->_$`cComplexCategory(R)``294747
ocomponentUpperBound`0`n`()->T`cRGBColorModel(T)``294803
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``294874
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``295194
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``295669
ocomponents`1`n`(_$)->List(_$)`cThreeSpaceCategory(R)``295994
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``296235
ocompose`2`n`(UP,UP)->UP`pPolynomialComposition(UP,R)``296329
ocomposite`1`n`(List(_$))->_$`cThreeSpaceCategory(R)``296370
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`296569
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`296693
ocomposites`1`n`(_$)->List(_$)`cThreeSpaceCategory(R)``296800
ocompound?`1`n`(_$)->Boolean`dSyntax``297149
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``297224
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``297265
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``297454
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``297623
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,P)``298035
oconcat!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat!`2`n`(_$,S)->_$`cExtensibleLinearAggregate(S)``298079
oconcat!`2`n`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`298166
oconcat!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`298317
oconcat!`2`n`(_$,_$)->_$`cExtensibleLinearAggregate(S)``298452
oconcat!`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`298556
oconcat`1`n`(List(A))->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xLinearAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`1`n`(List(A))->A`xStreamAggregate&(A,S)``0
oconcat`1`n`(List(_$))->_$`cLinearAggregate(S)``298719
oconcat`1`n`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``299069
oconcat`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(A,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xLinearAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xStreamAggregate&(A,S)``0
oconcat`2`n`(S,A)->A`xUnaryRecursiveAggregate&(A,S)``0
oconcat`2`n`(S,_$)->_$`cLinearAggregate(S)``299205
oconcat`2`n`(S,_$)->_$`cUnaryRecursiveAggregate(S)``299383
oconcat`2`n`(_$,S)->_$`cLinearAggregate(S)``299621
oconcat`2`n`(_$,_$)->_$`cLinearAggregate(S)``299807
oconcat`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``300177
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`n`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``300357
oconditionP`1`n`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`300570
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``300839
ocondition`1`n`(_$)->SpadAst`dIfAst``300918
ocondition`1`n`(_$)->SpadAst`dWhileAst``300993
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``301069
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`301246
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``301422
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``301599
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`301809
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``302018
oconical`2`n`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``302101
oconjug`1`n`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`302439
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjugate`1`n`(List(PositiveInteger))->List(PositiveInteger)`pPartitionsAndPermutations``302494
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`cComplexCategory(R)``302567
oconjugate`1`n`(_$)->_$`cOctonionCategory(R)``302642
oconjugate`1`n`(_$)->_$`cQuaternionCategory(R)``302794
oconjugate`1`n`(_$)->_$`dPartition``302873
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`n`(_$,_$)->_$`cGroup``302956
oconjugates`1`n`(Stream(List(PositiveInteger)))->Stream(List(PositiveInteger))`pPartitionsAndPermutations``303056
oconjunction`2`n`(_$,_$)->_$`dPropositionalFormula(T)``303164
oconnectTo`2`n`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`n`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``303264
ocons`2`n`(S,_$)->_$`dList(S)``303542
ocons`2`n`(S,_$)->_$`dStream(S)``303710
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``303855
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``303896
oconst`1`n`(C)->(A)->C`pMappingPackage2(A,C)``304110
oconstant?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``304214
oconstant?`1`n`(_$)->Boolean`dElaboratedExpression``304286
oconstant?`1`n`(_$)->Boolean`dPattern(R)``304355
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``304432
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``304530
oconstantIfCan`1`n`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``304961
oconstantKernel`1`n`(R)->Kernel(S)`pKernelFunctions2(R,S)``305006
oconstantLeft`1`n`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``305052
oconstantOpIfCan`1`n`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``305152
oconstantOperator`1`n`(A)->BasicOperator`pBasicOperatorFunctions1(A)``305298
oconstantRight`1`n`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``305413
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``305514
oconstant`1`n`(()->C)->(A)->C`pMappingPackage2(A,C)``305740
oconstant`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``305827
oconstant`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``305984
oconstant`1`n`(_$)->R`cXFreeAlgebra(vl,R)``306105
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``306170
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``306234
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``306289
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``306425
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(List(S))->_$`cCollection(S)``306528
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``306851
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``306937
oconstruct`1`n`(_$)->Stream(S)`dInfiniteTuple(S)``307285
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``307352
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``307395
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``307506
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``307607
oconstruct`2`n`(S,T)->_$`dPair(S,T)``307708
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``307799
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``307845
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``307965
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``308085
oconstruct`2`n`(_$,_$)->_$`cLieAlgebra(R)``308186
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``308298
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``308367
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``308436
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``308580
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``308825
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``309031
oconstructor`1`n`(_$)->C`dConstructorCall(C)``309312
oconstructor`1`n`(_$)->CategoryConstructor`dCategory``309400
oconstructor`1`n`(_$)->DomainConstructor`dDomain``309507
ocontains?`2`n`(_$,R)->Boolean`cIntervalCategory(R)``309614
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``309760
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`n`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`309840
ocontent`1`n`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`309923
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`310001
ocontinuedFraction`1`n`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``310284
ocontinuedFraction`1`n`(Fraction(R))->_$`dContinuedFraction(R)``310396
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``310544
ocontinuedFraction`3`n`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``310656
ocontours`1`n`(_$)->List(Contour)`dScope``310882
ocontractSolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``310956
ocontractSolve`2`n`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``311227
ocontract`2`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``311522
ocontract`3`n`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``311621
ocontract`4`n`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``311955
ocontrolPanel`2`n`(_$,String)->Void`dThreeDimensionalViewport``312384
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``312628
oconvergents`1`n`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``312868
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``313052
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`313133
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``313309
oconvert`1`n`(List(_$))->_$`dPattern(R)``313412
oconvert`1`n`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``313487
oconvert`1`n`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``313531
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`313575
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`313655
oconvert`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`313735
oconvert`1`n`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``313815
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`313859
oconvert`1`n`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`n`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`n`(S)->Complex(DoubleFloat)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Complex(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->DoubleFloat`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->DoubleFloat`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Float`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->InputForm`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->InputForm`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->InputForm`xQuaternionCategory&(S,R)``0
oconvert`1`n`(S)->InputForm`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Float)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Float)`xRealNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Float)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Pattern(Integer)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xFunctionSpace&(S,R)``0
oconvert`1`n`(S)->Pattern(Integer)`xIntegerNumberSystem&(S)``0
oconvert`1`n`(S)->Pattern(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oconvert`1`n`(S)->Pattern(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->Polynomial(R)`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->String`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->_$`cConvertibleFrom(S)``314036
oconvert`1`n`(SExpression)->_$`dInputForm``314101
oconvert`1`n`(SExpression)->_$`dSyntax``314161
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``314375
oconvert`1`n`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``314419
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(UP)->_$`cMonogenicAlgebra(R,UP)``314480
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->_$`cFramedAlgebra(R,UP)``314634
oconvert`1`n`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``314772
oconvert`1`n`(_$)->SExpression`dSyntax``314934
oconvert`1`n`(_$)->S`cConvertibleTo(S)``315019
oconvert`1`n`(_$)->Vector(R)`cFramedAlgebra(R,UP)``315086
oconvert`1`n`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``315196
oconvert`2`n`(OutputForm,Integer)->_$`dTexFormat``315306
oconvert`3`n`(OutputForm,Integer,OutputForm)->_$`dTexFormat``315583
ocoord`1`n`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``315881
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``316013
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``316047
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``316249
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``316462
ocoordinate`2`n`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``316680
ocoordinates`1`n`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``316894
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``317045
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``317258
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``317471
ocoordinates`1`n`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``317640
ocoordinates`1`n`(_$)->Vector(K)`dLinearElement(K,B)``317759
ocoordinates`1`n`(_$)->Vector(K)`dLinearForm(K,B)``317869
ocoordinates`1`n`(_$)->Vector(R)`cFramedAlgebra(R,UP)``317986
ocoordinates`1`n`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``318100
ocoordinates`2`n`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``318214
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``318362
ocoordinates`2`n`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``318589
ocoordinates`2`n`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``318792
ocoordinates`2`n`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``318910
ocopies`2`n`(Integer,String)->String`pDisplayPackage``319058
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``319177
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`n`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`319320
ocopy`1`n`(A)->A`xBinaryTreeCategory&(A,S)``0
ocopy`1`n`(A)->A`xDictionaryOperations&(A,S)``0
ocopy`1`n`(A)->A`xListAggregate&(A,S)``0
ocopy`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopy`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ocopy`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocopy`1`n`(_$)->_$`cAggregate``319438
ocopy`1`n`(_$)->_$`cIntegerNumberSystem``319602
ocopy`1`n`(_$)->_$`cThreeSpaceCategory(R)``319650
ocopy`1`n`(_$)->_$`dBasicOperator``319743
ocopy`1`n`(_$)->_$`dPattern(R)``319795
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``319855
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``319913
ocorrPoly`7`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``319949
ocos2sec`1`n`(F)->F`pTranscendentalManipulations(R,F)``320005
ocosIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``320103
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``320190
ocos`1`n`(E)->_$`dFourierComponent(E)``320422
ocos`1`n`(F)->F`pElementaryFunction(R,F)``320488
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``320549
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``320616
ocos`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``320683
ocos`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``320751
ocos`1`n`(_$)->_$`cTrigonometricFunctionCategory``320821
ocosh2sech`1`n`(F)->F`pTranscendentalManipulations(R,F)``320874
ocoshIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``320976
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``321065
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``321138
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``321221
ocosh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``321304
ocosh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``321384
ocosh`1`n`(_$)->_$`cHyperbolicFunctionCategory``321466
ocot2tan`1`n`(F)->F`pTranscendentalManipulations(R,F)``321531
ocot2trig`1`n`(F)->F`pTranscendentalManipulations(R,F)``321629
ocotIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``321733
ocot`1`n`(F)->F`pElementaryFunction(R,F)``321820
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``321884
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``321954
ocot`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``322024
ocot`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``322095
ocot`1`n`(_$)->_$`cTrigonometricFunctionCategory``322168
ocoth2tanh`1`n`(F)->F`pTranscendentalManipulations(R,F)``322224
ocoth2trigh`1`n`(F)->F`pTranscendentalManipulations(R,F)``322326
ocothIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``322435
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``322524
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``322600
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``322686
ocoth`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``322772
ocoth`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``322855
ocoth`1`n`(_$)->_$`cHyperbolicFunctionCategory``322940
ocountRealRootsMultiple`1`n`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`323008
ocountRealRoots`1`n`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``323115
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`323185
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`323438
ocountable?`1`n`(_$)->Boolean`dCardinalNumber``323626
ocreate3Space`0`n`()->_$`cThreeSpaceCategory(R)``323764
ocreate3Space`1`n`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``323906
ocreateGenericMatrix`1`n`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``324048
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``324245
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``324399
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``324753
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``324961
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``325081
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`325374
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``325645
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``325772
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`n`()->_$`cFiniteFieldCategory``325988
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``326099
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``326297
ocreateRandomElement`2`n`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``326430
ocreateThreeSpace`0`n`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``326539
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``326698
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327134
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``327170
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327212
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327246
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327283
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327322
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327356
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327394
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``327428
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``327467
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`n`(_$,_$)->_$`cPointCategory(R)``327687
ocross`2`n`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`327837
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``327987
ocsc2sin`1`n`(F)->F`pTranscendentalManipulations(R,F)``328201
ocscIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``328299
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``328386
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``328449
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``328518
ocsc`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``328587
ocsc`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``328657
ocsc`1`n`(_$)->_$`cTrigonometricFunctionCategory``328729
ocsch2sinh`1`n`(F)->F`pTranscendentalManipulations(R,F)``328784
ocschIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``328886
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``328975
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``329050
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``329135
ocsch`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``329220
ocsch`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``329302
ocsch`1`n`(_$)->_$`cHyperbolicFunctionCategory``329386
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``329453
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``329504
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``329541
ocup`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``329584
ocurrentCategoryFrame`0`n`()->_$`dScope``329775
ocurrentEnv`0`n`()->_$`dEnvironment``329860
ocurrentScope`0`n`()->_$`dScope``329909
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``329976
ocurryLeft`2`n`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``330069
ocurryRight`2`n`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``330168
ocurry`2`n`((A)->C,A)->()->C`pMappingPackage2(A,C)``330268
ocurve?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``330357
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``330582
ocurveColor`1`n`(Float)->_$`dDrawOption``330808
ocurveColor`1`n`(Palette)->_$`dDrawOption``330951
ocurve`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``331121
ocurve`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``331311
ocurve`2`n`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``331550
ocurve`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``331651
ocurve`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``331999
ocurve`3`n`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``332164
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``332284
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``332431
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`n`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``332567
ocyclePartition`1`n`(_$)->Partition`dPermutation(S)``332707
ocycleRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``332850
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`333069
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``333475
ocycle`1`n`(List(S))->_$`cPermutationCategory(S)``333565
ocycles`1`n`(List(List(S)))->_$`cPermutationCategory(S)``333792
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(_$)->Boolean`cRecursiveAggregate(S)``334122
ocyclic?`1`n`(_$)->Boolean`dTree(S)``334178
ocyclicCopy`1`n`(_$)->_$`dTree(S)``334239
ocyclicEntries`1`n`(_$)->List(_$)`dTree(S)``334318
ocyclicEqual?`2`n`(_$,_$)->Boolean`dTree(S)``334402
ocyclicGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``334488
ocyclicGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``334669
ocyclicParents`1`n`(_$)->List(_$)`dTree(S)``334787
ocyclicSubmodule`2`n`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`334873
ocyclic`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``335503
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``335599
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``335656
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``335713
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``335757
ocyclotomic`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``335961
ocylindrical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``336005
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``336236
odark`1`n`(Color)->_$`dPalette``336656
odatalist`1`n`(List(S))->_$`dDataList(S)``336748
oddFact`2`n`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``336807
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``337096
odebug`1`n`(Boolean)->Boolean`dPlot``337189
odec`1`n`(_$)->_$`cIntegerNumberSystem``337276
odecimal`1`n`(Fraction(Integer))->_$`dDecimalExpansion``337319
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``337395
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``337519
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``337637
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``337738
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``337849
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``337993
odeclare`1`n`(List(_$))->Symbol`dInputForm``338136
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``338485
odecompose`1`n`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``338720
odecompose`1`n`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``338762
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``338844
odecompose`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``339196
odecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`n`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`n`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`n`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`339242
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``339382
odeepExpand`1`n`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``339422
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``339466
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``339645
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``339948
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``340420
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``340563
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``340704
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`n`()->UP`cMonogenicAlgebra(R,UP)``340798
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`340900
odefiningPolynomial`1`n`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``341043
odefiningPolynomial`1`n`(_$)->_$`cExpressionSpace`has(_$,Ring)`341157
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``341251
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``341416
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``341704
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``341901
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(_$)->E`cAbelianMonoidRing(R,E)``342021
odegree`1`n`(_$)->E`cGradedModule(R,E)``342108
odegree`1`n`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``342229
odegree`1`n`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``342312
odegree`1`n`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``342453
odegree`1`n`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``342580
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``342668
odegree`1`n`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``342706
odegree`1`n`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``342812
odegree`1`n`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``342909
odegree`1`n`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``343001
odegree`1`n`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``343098
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``343214
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``343282
odegree`1`n`(_$)->NonNegativeInteger`dPermutation(S)``343444
odegree`1`n`(_$)->NonNegativeInteger`dPermutationGroup(S)``343531
odegree`1`n`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``343634
odegree`1`n`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``343823
odegree`2`n`(A,List(V))->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(A,V)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`2`n`(SparseUnivariatePolynomial(P),List(OV))->List(NonNegativeInteger)`pFactoringUtilities(E,OV,R,P)``343947
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``344053
odegree`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``344190
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``344370
odelay`1`n`(()->_$)->_$`dStream(S)``344475
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`n`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``344628
odelete!`2`n`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``344721
odeleteProperty!`2`n`(_$,Identifier)->_$`dBasicOperator``344827
odeleteProperty!`2`n`(_$,String)->_$`dBasicOperator``344989
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(_$,Integer)->_$`cLinearAggregate(S)``345151
odelete`2`n`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``345351
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``345570
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``345712
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``345940
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``346136
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``346452
odenom`1`n`(_$)->S`cQuotientFieldCategory(S)``346509
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``346582
odenom`1`n`(_$)->S`dLocalize(M,R,S)``346641
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``346700
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``346812
odenom`1`n`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`346924
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`347036
odenominator`1`n`(_$)->_$`cQuotientFieldCategory(S)``347118
odenominators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``347208
odepth`1`n`(_$)->NonNegativeInteger`cStackAggregate(S)``347410
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``347520
odequeue!`1`n`(_$)->S`cQueueAggregate(S)``347582
odequeue`0`n`()->_$`cDequeueAggregate(S)``347774
odequeue`1`n`(List(S))->_$`cDequeueAggregate(S)``347851
odequeue`1`n`(List(S))->_$`dDequeue(S)``348026
oderef`1`n`(_$)->S`dReference(S)``348201
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``348266
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`n`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`348444
oderivative`1`n`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``348530
oderivative`2`n`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``348656
oderivative`2`n`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``348906
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``349212
odestruct`1`n`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``349331
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``349408
odeterminant`1`n`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``349543
odeterminant`1`n`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`349678
odeterminant`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`349791
odiag`1`n`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``349868
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``349960
odiagonal?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``350154
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(R))->_$`cMatrixCategory(R,Row,Col)``350348
odiagonalMatrix`1`n`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``350453
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(_$))->_$`cMatrixCategory(R,Row,Col)``350558
odiagonalMatrix`1`n`(Vector(R))->_$`dMatrix(R)``351055
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``351168
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``351276
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`n`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``351385
odiagonals`2`n`(_$,String)->Void`dThreeDimensionalViewport``351492
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`n`()->_$`cDictionaryOperations(S)``351833
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`n`(List(S))->_$`cDictionaryOperations(S)``351916
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``352043
odifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
odifference`2`n`(A,S)->A`xSetAggregate&(A,S)``0
odifference`2`n`(_$,S)->_$`cSetAggregate(S)``352114
odifference`2`n`(_$,_$)->_$`cSetAggregate(S)``352368
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`n`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``352779
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialSpace&(S)``0
odifferentiate`1`n`(S)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`n`(_$)->T`cDifferentialDomain(T)``352913
odifferentiate`2`n`(A,(R)->R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,(S)->S)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(S))->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`2`n`(A,List(Symbol))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,List(Symbol))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,List(V))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`2`n`(A,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,S)->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`2`n`(A,Symbol)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(A,Symbol)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`2`n`(A,V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`2`n`(S,(Fraction(UP))->Fraction(UP))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,(R)->R)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,(R)->R)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,(R)->R)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,(R)->R)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,(UP)->UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(SingletonAsOrderedSet))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,List(Symbol))->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,List(Symbol))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,List(Symbol))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialSpace&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFiniteFieldCategory&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xIntegerNumberSystem&(S)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xComplexCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`2`n`(S,Symbol)->S`xQuaternionCategory&(S,R)``0
odifferentiate`2`n`(S,Symbol)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`2`n`(S,Symbol)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``352979
odifferentiate`2`n`(_$,(R)->R)->_$`cDifferentialSpaceExtension(R)``353079
odifferentiate`2`n`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``353199
odifferentiate`2`n`(_$,List(S))->_$`cPartialDifferentialSpace(S)``353307
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`cDifferentialSpace``353464
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``353552
odifferentiate`2`n`(_$,S)->T`cPartialDifferentialDomain(T,S)``353726
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`353829
odifferentiate`3`n`(A,(R)->R,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,(S)->S,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,List(Symbol),List(NonNegativeInteger))->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,List(V),List(NonNegativeInteger))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialSpace&(A,S)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(A,Symbol,NonNegativeInteger)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`3`n`(A,V,NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`3`n`(S,(Fraction(UP))->Fraction(UP),NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,(R)->R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,(R)->R,S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialSpaceExtension&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xFunctionSpace&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xQuaternionCategory&(S,R)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`3`n`(S,Symbol,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`3`n`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialSpaceExtension(R)``353913
odifferentiate`3`n`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``354054
odifferentiate`3`n`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialSpace(S)``354223
odifferentiate`3`n`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialSpace(S)``354337
odigamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``354499
odigamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``354621
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``354743
odigamma`1`n`(_$)->_$`cSpecialFunctionCategory``354817
odigit?`1`n`(_$)->Boolean`dCharacter``354940
odigit`0`n`()->_$`dCharacterClass``355037
odigits`0`n`()->PositiveInteger`cFloatingPointSystem``355153
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``355223
odigits`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`355293
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``355390
odigits`1`n`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``355487
odihedralGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``355565
odihedralGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``355751
odihedral`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``355863
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``355963
odilog`1`n`(_$)->_$`cLiouvillianFunctionCategory``356010
odim`1`n`(Color)->_$`dPalette``356134
odimensionOfIrreducibleRepresentation`1`n`(List(PositiveInteger))->NonNegativeInteger`pIrrRepSymNatPackage``356226
odimension`0`n`()->CardinalNumber`cVectorSpace(S)``356454
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`n`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``356528
odimension`1`n`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``356586
odimension`1`n`(_$)->PositiveInteger`cPointCategory(R)``356737
odimension`2`n`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``356818
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``356922
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``356987
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``357439
odioSolve`1`n`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``357887
odiophantineSystem`2`n`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``358064
odirectProduct`1`n`(Vector(R))->_$`cDirectProductCategory(dim,R)``358191
odirectSum`2`n`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`358335
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``358529
odirection`1`n`(String)->Integer`pToolsForSign(R)``358760
odirectory`1`n`(_$)->String`cFileNameCategory``358801
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`n`(_$)->NonNegativeInteger`cFiniteFieldCategory``358873
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`n`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``359002
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``359100
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``359266
odiscriminant`0`n`()->R`cFramedAlgebra(R,UP)``359410
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``359469
odiscriminant`1`n`(Vector(S))->R`xComplexCategory&(S,R)``0
odiscriminant`1`n`(Vector(S))->R`xFiniteRankAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(S))->R`xFramedAlgebra&(S,R,UP)``0
odiscriminant`1`n`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``359528
odiscriminant`1`n`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`359620
odiscriminant`1`n`(polR)->R`pPseudoRemainderSequence(R,polR)``359703
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`359820
odisjunction`2`n`(_$,_$)->_$`dPropositionalFormula(T)``359942
odisplay`1`n`(String)->Void`dMathMLFormat``360042
odisplay`1`n`(_$)->Maybe((List(OutputForm))->OutputForm)`dBasicOperator``360113
odisplay`1`n`(_$)->Void`dDatabase(S)``360241
odisplay`1`n`(_$)->Void`dIndexCard``360326
odisplay`1`n`(_$)->Void`dTexFormat``360420
odisplay`2`n`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``360604
odisplay`2`n`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``360821
odisplay`2`n`(_$,Integer)->Void`dTexFormat``361056
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``361202
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(_$,_$)->Integer`cRecursiveAggregate(S)``361725
odistdfact`2`n`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``361822
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`n`(_$)->_$`cExpressionSpace``362044
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`n`(_$,_$)->_$`cExpressionSpace``362227
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``362460
odiv`2`n`(_$,_$)->_$`dOutputForm``362699
odivideExponents`2`n`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``362756
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``362988
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``363321
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``363460
odivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``363692
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`cFreeMonoidCategory(S)``363775
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``363996
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``364139
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``364507
odivisor`1`n`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``364955
odivisor`1`n`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``365029
odivisor`2`n`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``365100
odivisor`3`n`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``365204
odivisor`5`n`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``365369
odivisors`1`n`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``365680
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``365750
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``365810
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``365870
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``365930
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``366019
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``366105
odom`1`n`(_$)->SExpression`dAny``366194
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``366320
odomain`0`n`()->_$`dConstructorKind``366429
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``366480
odot`1`n`(_$)->_$`dOutputForm``366889
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``366952
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``367132
odot`2`n`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`367210
odot`2`n`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`367298
odouble?`1`n`(_$)->Boolean`dFortranScalarType``367450
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``367549
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``367669
odoubleFloatFormat`1`n`(String)->String`dOutputForm``367711
odoubleRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``367786
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``367946
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``368134
odoublyTransitive?`1`n`(UP)->Boolean`pAlgFactor(UP)``368218
odrawComplexVectorField`3`n`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``368441
odrawComplex`4`n`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``369179
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``370018
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``370236
odrawStyle`2`n`(_$,String)->Void`dThreeDimensionalViewport``370640
odrawToScale`0`n`()->Boolean`pGraphicsDefaults``371035
odrawToScale`1`n`(Boolean)->Boolean`pGraphicsDefaults``371121
odraw`1`n`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``371318
odraw`2`n`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``371404
odraw`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``371526
odraw`2`n`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``371664
odraw`2`n`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``371831
odraw`2`n`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``371970
odraw`2`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``372146
odraw`2`n`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``372308
odraw`2`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``372525
odraw`2`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``372701
odraw`3`n`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``372940
odraw`3`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``373152
odraw`3`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``373378
odraw`3`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``373567
odraw`3`n`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``373862
odraw`3`n`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``374121
odraw`3`n`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``374363
odraw`3`n`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``374555
odraw`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``374784
odraw`3`n`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``375036
odraw`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``375345
odraw`3`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``375609
odraw`3`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``375944
odraw`3`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``376211
odraw`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``376535
odraw`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``376818
odraw`4`n`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``377114
odraw`4`n`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``377302
odraw`4`n`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``377636
odraw`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``377880
odraw`4`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``378245
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``378675
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`n`(_$)->List(Boolean)`cConstructorCategory``378733
odual`1`n`(DualBasis(vars))->_$`dLinearBasis(vars)``379032
odual`1`n`(LinearBasis(vars))->_$`dDualBasis(vars)``379123
odual`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`pPropositionalFormulaFunctions1(T)``379217
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``379284
oduplicates`1`n`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``379365
oe`1`n`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``379452
oeigenMatrix`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``379510
oeigenvalues`1`n`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``379655
oeigenvector`2`n`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``379802
oeigenvectors`1`n`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``379930
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``380291
oelColumn2!`4`n`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``380453
oelRow1!`3`n`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``380595
oelRow2!`4`n`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``380713
oelaborateFile`1`n`(String)->List(Maybe(Elaboration))`pCompilerPackage``0
oelaborate`1`n`(SpadAst)->Maybe(Elaboration)`pCompilerPackage``380846
oelaboration`3`n`(InternalRepresentationForm,InternalTypeForm,Environment)->_$`dElaboration``380954
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``381128
oelement?`2`n`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``381205
oelementary`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``381302
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``381426
oelements`1`n`(_$)->List(SpadAst)`dConstructAst``381518
oellipticCylindrical`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``381603
oelliptic`0`n`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``381874
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``382001
oelliptic`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``382128
oelseBranch`1`n`(_$)->SpadAst`dIfAst``382351
oelt`1`n`(_$)->R`dCartesianTensor(minix,dim,R)``382413
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`cExpressionSpace``382474
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``382614
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,_$)->_$`cExpressionSpace``382679
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`382776
oelt`2`n`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`382911
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,"count")->NonNegativeInteger`dDataList(S)``383059
oelt`2`n`(_$,"first")->S`cUnaryRecursiveAggregate(S)``383143
oelt`2`n`(_$,"last")->S`cUnaryRecursiveAggregate(S)``383246
oelt`2`n`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``383346
oelt`2`n`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``383441
oelt`2`n`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``383548
oelt`2`n`(_$,"sort")->_$`dDataList(S)``383646
oelt`2`n`(_$,"unique")->_$`dDataList(S)``383767
oelt`2`n`(_$,"value")->S`cRecursiveAggregate(S)``383908
oelt`2`n`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``384005
oelt`2`n`(_$,List(OutputForm))->_$`dSymbol``384083
oelt`2`n`(_$,List(_$))->_$`dOutputForm``384204
oelt`2`n`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``384303
oelt`2`n`(_$,QueryEquation)->_$`dDatabase(S)``384384
oelt`2`n`(_$,S)->T`cEltable(S,T)``384482
oelt`2`n`(_$,Symbol)->DataList(String)`dDatabase(S)``384622
oelt`2`n`(_$,Symbol)->String`dIndexCard``384719
oelt`2`n`(_$,_$)->_$`cStringAggregate``384917
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(BasicOperator,_$,_$)->_$`cExpressionSpace``385132
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``385257
oelt`3`n`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``385626
oelt`3`n`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``385766
oelt`3`n`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``385887
oelt`3`n`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``386016
oelt`3`n`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``386178
oelt`3`n`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``386346
oelt`3`n`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``386409
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``386751
oelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``386903
oelt`4`n`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``386968
oelt`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``387178
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`n`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``387386
oelt`5`n`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``387562
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`cAggregate``387629
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``387687
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``387811
oempty`0`n`()->_$`cAggregate``387909
oempty`0`n`()->_$`dEnvironment``388109
oempty`0`n`()->_$`dOutputForm``388163
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``388208
oempty`0`n`()->_$`dScope``388268
oempty`0`n`()->_$`dSplittingNode(V,C)``388314
oempty`0`n`()->_$`dSymbolTable``388424
oempty`0`n`()->_$`dTheSymbolTable``388482
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``388541
oendOfFile?`1`n`(_$)->Boolean`dTextFile``388632
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``388805
oenqueue!`2`n`(S,_$)->S`cQueueAggregate(S)``388900
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``388986
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``389179
oenterPointData`2`n`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``389423
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``389622
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`n`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(Entry,SetCategory))`389724
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``389828
oenvironment`1`n`(_$)->Environment`dElaboration``389924
oeof?`1`n`(_$)->Boolean`dInputBinaryFile``390006
oepilogue`1`n`(_$)->List(String)`dTexFormat``390078
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`n`(_$,_$)->Boolean`cAggregate``390158
oeq`2`n`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``390230
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``390327
oequality`2`n`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``390431
oequation`2`n`(S,S)->_$`dEquation(S)``390731
oequation`2`n`(Symbol,S)->_$`dRangeBinding(S,T)``390780
oequation`2`n`(Symbol,Segment(S))->_$`dSegmentBinding(S)``0
oequation`2`n`(Symbol,String)->_$`dQueryEquation``390943
oequiv`2`n`(_$,_$)->_$`cPropositionalLogic``390997
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``391069
oerf`1`n`(_$)->_$`cLiouvillianFunctionCategory``391117
oerror`1`n`(List(String))->Exit`pErrorFunctions``391264
oerror`1`n`(String)->Exit`pErrorFunctions``391341
oerror`2`n`(String,List(String))->Exit`pErrorFunctions``391416
oerror`2`n`(String,String)->Exit`pErrorFunctions``391584
oescape`0`n`()->_$`dCharacter``391749
oeuclideanGroebner`1`n`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``391802
oeuclideanGroebner`2`n`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``391959
oeuclideanGroebner`3`n`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``392292
oeuclideanNormalForm`2`n`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``392595
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`n`(_$)->NonNegativeInteger`cEuclideanDomain``392777
oeulerE`2`n`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`392888
oeulerPhi`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``392928
oeuler`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``393145
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``393292
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`n`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``393593
oeval`1`n`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`393663
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``393732
oeval`2`n`(A,Equation(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,Equation(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(A,List(Equation(A)))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`2`n`(A,List(Equation(S)))->A`xHomogeneousAggregate&(A,S)``0
oeval`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``393957
oeval`2`n`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``394075
oeval`2`n`(S,Equation(R))->S`xEvalable&(S,R)``0
oeval`2`n`(S,Equation(R))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Equation(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,Equation(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xEvalable&(S,R)``0
oeval`2`n`(S,List(Equation(R)))->S`xFullyEvalableOver&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
oeval`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,List(Equation(S)))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`2`n`(S,List(Equation(S)))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`2`n`(S,List(Symbol))->S`xFunctionSpace&(S,R)``0
oeval`2`n`(S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``394316
oeval`2`n`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`394460
oeval`2`n`(_$,Equation(R))->_$`cEvalable(R)``394578
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``394649
oeval`2`n`(_$,List(Equation(R)))->_$`cEvalable(R)``394789
oeval`2`n`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`394879
oeval`2`n`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`394962
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``395062
oeval`2`n`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`395202
oeval`2`n`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`395265
oeval`3`n`(A,A,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(A),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(S),List(S))->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,List(V),List(A))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,List(V),List(R))->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,S,S)->A`xHomogeneousAggregate&(A,S)``0
oeval`3`n`(A,V,A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(A,V,R)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oeval`3`n`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``395348
oeval`3`n`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``395551
oeval`3`n`(S,A,B)->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,BasicOperator,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Kernel(S),S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Kernel(S),S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(A),List(B))->S`xInnerEvalable&(S,A,B)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(BasicOperator),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xEvalable&(S,R)``0
oeval`3`n`(S,List(R),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(S),List(S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(S),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(S),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(R))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(SingletonAsOrderedSet),List(S))->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xExpressionSpace&(S)``0
oeval`3`n`(S,List(Symbol),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,List(Symbol),List(R))->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,List(VarSet),List(R))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,List(VarSet),List(S))->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,R,R)->S`xEvalable&(S,R)``0
oeval`3`n`(S,R,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,S,S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,S,S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,S,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,R)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,SingletonAsOrderedSet,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xExpressionSpace&(S)``0
oeval`3`n`(S,Symbol,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`3`n`(S,Symbol,R)->S`xFullyEvalableOver&(S,R)``0
oeval`3`n`(S,VarSet,R)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(S,VarSet,S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oeval`3`n`(UPUP,Fraction(UP),Fraction(UP))->UPUP`pChangeOfVariable(F,UP,UPUP)``395632
oeval`3`n`(_$,A,B)->_$`cInnerEvalable(A,B)``395705
oeval`3`n`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``395776
oeval`3`n`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``395909
oeval`3`n`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``396009
oeval`3`n`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``396102
oeval`3`n`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``396259
oeval`3`n`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``396381
oeval`3`n`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``396538
oeval`3`n`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``396660
oeval`3`n`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``396811
oeval`3`n`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``396944
oeval`3`n`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``397044
oeval`4`n`(S,BasicOperator,S,Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(BasicOperator),List(S),Symbol)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((List(S))->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,List(Symbol),List(NonNegativeInteger),List((S)->S))->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(List(S))->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(S,Symbol,NonNegativeInteger,(S)->S)->S`xFunctionSpace&(S,R)``0
oeval`4`n`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`397165
oeval`4`n`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`397303
oeval`4`n`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`397463
oeval`4`n`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`397630
oeval`4`n`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`397769
oeval`4`n`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`397903
oevaluateInverse`2`n`(_$,(M)->M)->_$`dModuleOperator(R,M)``398009
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`1`n`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``398058
oevaluate`2`n`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``398182
oevaluate`2`n`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``398414
oevaluate`2`n`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``398637
oevaluate`2`n`(_$,(M)->M)->_$`dModuleOperator(R,M)``398809
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`n`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`399134
oeven?`1`n`(_$)->Boolean`cIntegerNumberSystem``399203
oeven?`1`n`(_$)->Boolean`dPermutation(S)``399279
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``399410
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``399554
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``399698
oevenInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``399842
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``399986
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``400311
oevery?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oevery?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oevery?`2`n`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`400689
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``400929
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``400968
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``401007
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`401046
oexactQuotient!`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`401170
oexactQuotient`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient`2`n`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`401272
oexactQuotient`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`401498
oexists?`1`n`(_$)->Boolean`cFileNameCategory``401703
oexp1`0`n`()->_$`dDoubleFloat``401773
oexp1`0`n`()->_$`dFloat``401846
oexpIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401906
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``401993
oexp`1`n`(F)->F`pElementaryFunction(R,F)``402447
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``402513
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``402587
oexp`1`n`(S)->S`xComplexCategory&(S,R)``0
oexp`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``402658
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``402734
oexp`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``402810
oexp`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``402883
oexp`1`n`(_$)->_$`cElementaryFunctionCategory``402958
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``403021
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`403143
oexpandLog`1`n`(F)->F`pTranscendentalManipulations(R,F)``403269
oexpandPower`1`n`(F)->F`pTranscendentalManipulations(R,F)``403436
oexpandTrigProducts`1`n`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`403552
oexpand`1`n`(F)->F`pTranscendentalManipulations(R,F)``403994
oexpand`1`n`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``404397
oexpand`1`n`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``404492
oexpand`1`n`(List(_$))->L`cSegmentExpansionCategory(S,L)``404587
oexpand`1`n`(_$)->L`cSegmentExpansionCategory(S,L)``404819
oexpand`1`n`(_$)->R`dFactored(R)``404998
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``405211
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``405273
oexpextendedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``405315
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``405672
oexpintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``405762
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``405977
oexplicitEntries?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``406162
oexplicitlyEmpty?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``406302
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(_$)->Boolean`cStreamAggregate(S)``406467
oexplimitedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``406684
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``407051
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``407188
oexponent`1`n`(_$)->Integer`cFloatingPointSystem``407228
oexponent`1`n`(_$)->Integer`dFactored(R)``407328
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``407473
oexponential1`0`n`()->Float`pRandomFloatDistributions``407527
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``407570
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``407683
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``407726
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``407862
oexportedOperators`1`n`(_$)->List(OperatorSignature)`dCategory``408023
oexprToGenUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``408163
oexprToUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``410258
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``412340
oexpr`1`n`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``412646
oexpressIdealMember`2`n`(List(S),S)->Maybe(List(S))`xEuclideanDomain&(S)``0
oexpressIdealMember`2`n`(List(_$),_$)->Maybe(List(_$))`cPrincipalIdealDomain``412769
oexpression`1`n`(_$)->SpadAst`dCoerceAst``412973
oexpression`1`n`(_$)->SpadAst`dExitAst``413041
oexpression`1`n`(_$)->SpadAst`dPretendAst``413105
oexpression`1`n`(_$)->SpadAst`dQuasiquoteAst``413173
oexpression`1`n`(_$)->SpadAst`dRestrictAst``413253
oexpression`1`n`(_$)->SpadAst`dReturnAst``413321
oexprex`1`n`(OutputForm)->String`dMathMLFormat``413389
oexptMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``413793
oexptMod`4`n`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``413909
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``414061
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``414121
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``414256
oexquo`2`n`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`414363
oexquo`2`n`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,IntegralDomain)`414501
oexquo`2`n`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`414619
oexquo`2`n`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`414767
oexquo`2`n`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`414915
oexquo`2`n`(_$,_$)->Union(_$,"failed")`cIntegralDomain``415040
oexquo`2`n`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``415168
oexquo`2`n`(_$,_$)->_$`dOutputForm``415308
oextendIfCan`2`n`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``415368
oextend`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oextend`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``415953
oextend`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``416048
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``416203
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``416296
oextend`2`n`(S,P)->S`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(S,P)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``416590
oextend`2`n`(_$,Integer)->_$`cLazyStreamAggregate(S)``416683
oextend`2`n`(_$,Integer)->_$`cPAdicIntegerCategory(p)``416903
oextend`2`n`(_$,Integer)->_$`dContinuedFraction(R)``416984
oextend`2`n`(_$,List(R))->_$`cPointCategory(R)``417161
oextend`2`n`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``417203
oextend`2`n`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``417296
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``417605
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`n`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``417974
oextendedIntegrate`3`n`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``418182
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`418357
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`418565
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`418773
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``419014
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``419174
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``419315
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``419386
oextension`1`n`(_$)->String`cFileNameCategory``419457
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``419524
oexternal?`1`n`(_$)->Boolean`dFortranType``419671
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``419757
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`n`(_$)->S`cBagAggregate(S)``419846
oextractBottom!`1`n`(_$)->S`cDequeueAggregate(S)``419929
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``420066
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``420300
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``420387
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``420515
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``420674
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``420825
oextractTop!`1`n`(_$)->S`cDequeueAggregate(S)``420969
oeyeDistance`2`n`(_$,Float)->Void`dThreeDimensionalViewport``421101
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`421299
ofactorAndSplit`1`n`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`421407
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``421584
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``421812
ofactorFraction`1`n`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``422040
ofactorGroebnerBasis`1`n`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``422151
ofactorGroebnerBasis`2`n`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``422297
ofactorList`1`n`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``422535
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``422631
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``422679
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``422813
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``422896
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``423077
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``423214
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``423448
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``423795
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`423912
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``423962
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``424212
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``424462
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``424744
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``425026
ofactorSquareFree`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``425222
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``425332
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``425444
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``425588
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``425683
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``425970
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``426213
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``426549
ofactor`1`n`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``426857
ofactor`1`n`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``426952
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``427040
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`427115
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``427171
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``427259
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``427356
ofactor`1`n`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``427488
ofactor`1`n`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``427585
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``427706
ofactor`1`n`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``427781
ofactor`1`n`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``427867
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``427951
ofactor`1`n`(S)->Factored(S)`xField&(S)``0
ofactor`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
ofactor`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ofactor`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
ofactor`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``428042
ofactor`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``428177
ofactor`1`n`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``428362
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``428586
ofactor`1`n`(UP)->Factored(UP)`pAlgFactor(UP)``428648
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``428760
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``429069
ofactor`1`n`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``429150
ofactor`1`n`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``429217
ofactor`1`n`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``429284
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``429351
ofactor`1`n`(_$)->Factored(_$)`cUniqueFactorizationDomain``429413
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``429494
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``429616
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``429723
ofactor`2`n`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``429876
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``430020
ofactor`2`n`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``430256
ofactor`2`n`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``430481
ofactor`2`n`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``430666
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``430816
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``431018
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``431176
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``431413
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``431664
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``431887
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``432198
ofactorial`1`n`(I)->I`pIntegerCombinatoricFunctions(I)``432284
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`n`(_$)->_$`cCombinatorialFunctionCategory``432438
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``432603
ofactorials`1`n`(_$)->_$`cCombinatorialOpsCategory``432707
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``432811
ofactorials`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``432937
ofactorsOfCyclicGroupSize`0`n`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``433063
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``433149
ofactors`1`n`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``433260
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``433560
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`cFreeMonoidCategory(S)``433641
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``433722
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``433801
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``433863
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``433925
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``433972
ofalse`0`n`()->_$`cPropositionalLogic``434019
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``434062
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``434150
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``434312
ofibonacci`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``434497
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`n`(String,String,String)->_$`cFileNameCategory``434811
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`n`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`435060
ofill!`2`n`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``435184
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``435240
ofilterUntil`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``435299
ofilterUntil`2`n`((S)->Boolean,_$)->_$`dStream(S)``435376
ofilterWhile`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``435536
ofilterWhile`2`n`((S)->Boolean,_$)->_$`dStream(S)``435609
ofindBinding`2`n`(Identifier,_$)->Maybe(Binding)`dContour``435772
ofindBinding`2`n`(Identifier,_$)->Maybe(Binding)`dScope``435870
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``435963
ofindCycle`2`n`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``436123
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``436206
ofinite?`1`n`(_$)->Boolean`dCardinalNumber``436348
ofinite?`1`n`(_$)->Boolean`dOnePointCompletion(R)``436462
ofinite?`1`n`(_$)->Boolean`dOrderedCompletion(R)``436516
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``436570
ofintegrate`3`n`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`436657
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`436865
ofirstDenom`1`n`(_$)->Factored(R)`dPartialFraction(R)``437073
ofirstNumer`1`n`(_$)->R`dPartialFraction(R)``437272
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``437469
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``437585
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`437891
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``438082
ofirst`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``438156
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``438266
ofirst`1`n`(_$)->S`dPair(S,T)``438327
ofirst`1`n`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``438387
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``438543
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``438628
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``438736
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``438824
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``439071
ofixedPoint`1`n`((A)->A)->A`pMappingPackage1(A)``439192
ofixedPoint`2`n`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``439341
ofixedPoints`1`n`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`439496
oflagFactor`3`n`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``439579
oflatten`1`n`(_$)->_$`dInputForm``439758
oflexible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``439998
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``440204
oflexibleArray`1`n`(List(S))->_$`dFlexibleArray(S)``0
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``440410
ofloat?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``440501
ofloat`1`n`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``440582
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`n`(Integer,Integer)->_$`cFloatingPointSystem``440704
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`n`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``440761
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`440815
ofloor`1`n`(_$)->_$`cRealNumberSystem``440891
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`440954
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``441042
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``441214
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``441302
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
oformfeed`0`n`()->_$`dCharacter``441390
ofortranCharacter`0`n`()->_$`dFortranType``441449
ofortranComplex`0`n`()->_$`dFortranType``441529
ofortranDoubleComplex`0`n`()->_$`dFortranType``441605
ofortranDouble`0`n`()->_$`dFortranType``441694
ofortranInteger`0`n`()->_$`dFortranType``441778
ofortranLogical`0`n`()->_$`dFortranType``441854
ofortranReal`0`n`()->_$`dFortranType``441930
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``442000
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``442078
ofracPart`1`n`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``442117
ofractRadix`2`n`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``442208
ofractRagits`1`n`(_$)->Stream(Integer)`dRadixExpansion(bb)``442413
ofractionFreeGauss!`1`n`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`442507
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`n`(_$)->Fraction(Integer)`dBinaryExpansion``442614
ofractionPart`1`n`(_$)->Fraction(Integer)`dDecimalExpansion``442695
ofractionPart`1`n`(_$)->Fraction(Integer)`dHexadecimalExpansion``442777
ofractionPart`1`n`(_$)->Fraction(Integer)`dRadixExpansion(bb)``442863
ofractionPart`1`n`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`442944
ofractionPart`1`n`(_$)->_$`cRealNumberSystem``443071
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,Symbol)->Boolean`cExpressionSpace``443141
ofreeOf?`2`n`(_$,_$)->Boolean`cExpressionSpace``443241
ofrobenius`1`n`(_$)->_$`dModMonic(R,P)`has(R,FiniteFieldCategory)`443369
ofront`1`n`(_$)->S`cQueueAggregate(S)``443410
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`443560
ofrst`1`n`(_$)->S`cLazyStreamAggregate(S)``443651
ofullDisplay`1`n`(_$)->Void`dDatabase(S)``443833
ofullDisplay`1`n`(_$)->Void`dIndexCard``443919
ofullDisplay`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``444011
ofullPartialFraction`1`n`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``444144
ofunction`2`n`(S,Symbol)->Symbol`pMakeFunction(S)``444301
ofunction`3`n`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``444370
ofunction`3`n`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``444461
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``444534
ofunction`4`n`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``444648
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``444726
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``444828
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``444863
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xFiniteFieldCategory&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xGcdDomain&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialCategory&(S,R,E,VarSet)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xPolynomialFactorizationExplicit&(S)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(S),SparseUnivariatePolynomial(S))->SparseUnivariatePolynomial(S)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``444937
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``445039
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``445127
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``445228
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``445329
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``445395
ogcd`1`n`(List(S))->S`xEuclideanDomain&(S)``0
ogcd`1`n`(List(S))->S`xField&(S)``0
ogcd`1`n`(List(S))->S`xGcdDomain&(S)``0
ogcd`1`n`(List(S))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`1`n`(List(SparseUnivariatePolynomial(P)))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``445472
ogcd`1`n`(List(_$))->_$`cGcdDomain``445549
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``445631
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`445717
ogcd`2`n`(S,S)->S`xEuclideanDomain&(S)``0
ogcd`2`n`(S,S)->S`xField&(S)``0
ogcd`2`n`(S,S)->S`xGcdDomain&(S)``0
ogcd`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ogcd`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``445830
ogcd`2`n`(_$,_$)->_$`cGcdDomain``445916
ogcd`2`n`(_$,_$)->_$`dNonNegativeInteger``446001
ogcd`2`n`(_$,_$)->_$`dPositiveInteger``446113
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`446221
ogcd`3`n`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``446320
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``446453
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``446544
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``446638
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``446723
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``446806
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``446964
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``447122
ogeneralInfiniteProduct`3`n`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``447280
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``447438
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``447637
ogeneralPosition`2`n`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``447862
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``448050
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``448206
ogeneralizedContinuumHypothesisAssumed?`0`n`()->Boolean`dCardinalNumber``448355
ogeneralizedContinuumHypothesisAssumed`1`n`(Boolean)->Boolean`dCardinalNumber``448456
ogeneralizedEigenvector`2`n`(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``448574
ogeneralizedEigenvector`4`n`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``448756
ogeneralizedEigenvectors`1`n`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``449151
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``449253
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``449483
ogenerate`1`n`(()->S)->_$`dStream(S)``449617
ogenerate`2`n`((S)->S,S)->_$`dInfiniteTuple(S)``449763
ogenerate`2`n`((S)->S,S)->_$`dStream(S)``449828
ogenerate`2`n`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``450055
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`450366
ogenerator`0`n`()->_$`cMonogenicAlgebra(R,UP)``450505
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``450570
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``450662
ogenerator`1`n`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``450748
ogenerator`1`n`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``450812
ogenerators`1`n`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``450916
ogenerators`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``450997
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``451072
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`451147
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`451481
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`451626
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`451899
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`452044
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``452286
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`452429
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`452764
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`452914
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`453154
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`453304
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``453511
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``453675
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``453836
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``454040
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``454206
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``454362
ogensym`0`n`()->_$`dIdentifier``454588
ogenus`0`n`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``454697
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``454777
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``454857
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``454898
ogetConstant`1`n`(_$)->Union(SExpression,"failed")`dElaboratedExpression``455039
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``455106
ogetDatabase`1`n`(String)->Database(IndexCard)`pOperationsQuery``455250
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``455481
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``455559
ogetIdentifier`1`n`(_$)->Union(Identifier,"failed")`dElaboratedExpression``455802
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``455873
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``456032
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``456126
ogetMultiplicationMatrix`0`n`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``456220
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``456314
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``456491
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``456668
ogetOperands`1`n`(_$)->List(_$)`dSyntax``456845
ogetOperands`1`n`(_$)->Union(List(_$),"failed")`dElaboratedExpression``456927
ogetOperator`1`n`(_$)->Union(Identifier,"failed")`dElaboratedExpression``457023
ogetOperator`1`n`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``457126
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``457342
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``457507
ogetProperties`2`n`(Identifier,_$)->List(Property)`dEnvironment``457810
ogetProperty`3`n`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``457896
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``458056
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``458172
ogetSyntaxFormsFromFile`1`n`(String)->List(Syntax)`pParser``458261
ogetVariableOrder`0`n`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``458522
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``458701
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``458839
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``458977
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``459106
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``459245
ogramschmidt`1`n`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``459403
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``459575
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``459723
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``459930
ographImage`0`n`()->_$`dGraphImage``460343
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``460528
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``461596
ographs`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``461867
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``462040
ogreen`0`n`()->_$`dColor``462380
ogreen`1`n`(_$)->T`cRGBColorModel(T)``462457
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``462518
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``462812
ogroebner?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``462849
ogroebnerFactorize`1`n`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``462944
ogroebnerFactorize`2`n`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``463446
ogroebnerFactorize`2`n`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``464032
ogroebnerFactorize`3`n`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``464640
ogroebnerIdeal`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``465338
ogroebner`1`n`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``465550
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``465674
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``465893
ogroebner`1`n`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``466136
ogroebner`2`n`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``466242
ogroebner`3`n`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``466705
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``467089
oground?`1`n`(_$)->Boolean`cFunctionSpace(R)``467180
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->R`cFiniteAbelianMonoidRing(R,E)``467250
oground`1`n`(_$)->R`cFunctionSpace(R)``467328
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``467455
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`467490
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`467669
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`467848
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`468060
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`468251
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`468463
oharmonic`1`n`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``468654
ohas?`2`n`(_$,Identifier)->Boolean`dBasicOperator``468759
ohasHi`1`n`(_$)->Boolean`dUniversalSegment(S)``468837
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``468915
ohasSolution?`2`n`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``468995
ohasSolution?`2`n`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``469084
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``469173
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`n`(_$)->SingleInteger`cSetCategory``469252
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``469311
ohclf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``469547
ohconcat`1`n`(List(_$))->_$`dOutputForm``469723
ohconcat`2`n`(_$,_$)->_$`dOutputForm``469802
ohcrf`2`n`(_$,_$)->_$`cFreeMonoidCategory(S)``469883
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``470060
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``470149
oheadAst`2`n`(Identifier,List(ParameterAst))->_$`dHeadAst``470237
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``470314
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``470591
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``470853
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``471036
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``471183
oheadReduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``471340
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`n`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`471465
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`n`(_$)->HeadAst`dDefinitionAst``471742
ohead`1`n`(_$)->HeadAst`dMacroAst``471924
ohead`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``472108
ohead`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``472224
oheapSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``472480
oheap`1`n`(List(S))->_$`dHeap(S)``472601
oheight`0`n`()->Integer`dOutputForm``472692
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``472768
oheight`1`n`(_$)->Integer`dOutputForm``472875
oheight`1`n`(_$)->NonNegativeInteger`cDequeueAggregate(S)``472949
oheight`1`n`(_$)->NonNegativeInteger`cExpressionSpace``473071
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``473344
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``473407
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``473725
ohermiteH`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``474012
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``474174
ohermite`1`n`(M)->M`pSmithNormalForm(R,Row,Col,M)``474445
ohexDigit?`1`n`(_$)->Boolean`dCharacter``474526
ohexDigit`0`n`()->_$`dCharacterClass``474660
ohex`1`n`(Fraction(Integer))->_$`dHexadecimalExpansion``474782
ohi`1`n`(_$)->S`cSegmentCategory(S)``474858
ohighCommonTerms`2`n`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`474946
ohigh`1`n`(_$)->S`cSegmentCategory(S)``475163
ohitherPlane`2`n`(_$,Float)->Void`dThreeDimensionalViewport``475255
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``475434
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``475524
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``475634
ohorizontalTab`0`n`()->_$`dCharacter``475866
ohostByteOrder`0`n`()->ByteOrder`pSystem``475921
ohostPlatform`0`n`()->String`pSystem``475949
ohost`1`n`(String)->_$`dHostname``476064
ohspace`1`n`(Integer)->_$`dOutputForm``476127
ohtrigs`1`n`(F)->F`pTranscendentalManipulations(R,F)``476190
ohue`1`n`(Point(R))->R`pPointPackage(R)``476291
ohue`1`n`(_$)->Color`dPalette``476614
ohue`1`n`(_$)->Integer`dColor``476692
ohyperelliptic`0`n`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``476768
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``476905
ohypergeometric0F1`2`n`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``477042
ohypergeometric0F1`2`n`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``477130
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``477218
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``477432
oid`1`n`(A)->A`pMappingPackage1(A)``477608
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``477640
oideal`1`n`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``477931
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``478036
oideal`1`n`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``478107
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``478185
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``478351
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``478448
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``478599
oidentity`0`n`()->_$`dDenavitHartenbergMatrix(R)``478813
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``478867
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``479028
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``479086
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``479142
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``479198
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``479255
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``479311
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``479368
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``479424
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``479481
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``479537
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``479594
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``479650
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``479707
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``479763
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``479820
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``479878
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``479933
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``479989
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``480044
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``480100
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``480155
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``480211
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``480269
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``480326
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``480381
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``480438
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``480493
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``480550
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``480606
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``480661
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``480717
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``480772
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``480828
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``480884
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``480940
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``480995
oimagE`1`n`(_$)->R`cOctonionCategory(R)``481051
oimagI`1`n`(_$)->R`cOctonionCategory(R)``481133
oimagI`1`n`(_$)->R`cQuaternionCategory(R)``481215
oimagJ`1`n`(_$)->R`cOctonionCategory(R)``481299
oimagJ`1`n`(_$)->R`cQuaternionCategory(R)``481381
oimagK`1`n`(_$)->R`cOctonionCategory(R)``481465
oimagK`1`n`(_$)->R`cQuaternionCategory(R)``481547
oimag`1`n`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``481631
oimag`1`n`(F)->F`pTrigonometricManipulations(R,F)``481730
oimag`1`n`(_$)->R`cComplexCategory(R)``481829
oimagi`1`n`(_$)->R`cOctonionCategory(R)``481887
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`n`()->_$`cComplexCategory(R)``481959
oimagj`1`n`(_$)->R`cOctonionCategory(R)``482017
oimagk`1`n`(_$)->R`cOctonionCategory(R)``482089
oimplies`2`n`(_$,_$)->_$`cPropositionalLogic``482161
oimports`1`n`(_$)->List(TypeAst)`dImportAst``482235
oin?`2`n`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``482296
oinGroundField?`1`n`(_$)->Boolean`cExtensionField(F)``482383
oinHallBasis?`4`n`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``482490
oinR?`1`n`(_$)->Boolean`dPattern(R)``482870
oinRadical?`2`n`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``482965
oinc`1`n`(_$)->_$`cIntegerNumberSystem``483073
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``483116
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``483280
oincr`1`n`(_$)->Integer`cSegmentCategory(S)``483444
oincreasePrecision`1`n`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`483599
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``483729
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``483915
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``484093
oindex?`2`n`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``484268
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->_$`cFinite``484347
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``484594
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``484631
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``484730
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``484938
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``485058
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``485155
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``485255
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``485355
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``485449
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``485543
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``485751
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``485959
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``486199
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``486439
oinfRittWu?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``486703
oinfRittWu?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``486815
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``486927
oinfRittWu?`2`n`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``487124
oinf`1`n`(_$)->R`cIntervalCategory(R)``487280
oinfieldIntegrate`2`n`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``487342
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``487476
oinfinite?`1`n`(_$)->Boolean`dOnePointCompletion(R)``487613
oinfinite?`1`n`(_$)->Boolean`dOrderedCompletion(R)``487671
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``487745
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``487885
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``488025
oinfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``488165
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``488305
oinfinity`0`n`()->OnePointCompletion(Integer)`pInfinity``488418
oinfinity`0`n`()->_$`dOnePointCompletion(R)``488461
oinfix?`1`n`(_$)->Boolean`dOutputForm``488504
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``488614
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``488755
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``488839
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`n`()->_$`cStepThrough``488895
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``488956
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`n`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``489181
oinitializeGroupForWordProblem`1`n`(_$)->Void`dPermutationGroup(S)``489333
oinitializeGroupForWordProblem`3`n`(_$,Integer,Integer)->Void`dPermutationGroup(S)``489767
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``490228
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``490516
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``490788
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``491063
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``491281
oinitiallyReduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``491448
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`n`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``491632
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``491736
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``492069
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``492186
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``492316
oinnerint`5`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``492668
oinputBinaryFile`1`n`(FileName)->_$`dInputBinaryFile``492744
oinputBinaryFile`1`n`(String)->_$`dInputBinaryFile``492862
oinputOutputBinaryFile`1`n`(FileName)->_$`dInputOutputBinaryFile``492980
oinputOutputBinaryFile`1`n`(String)->_$`dInputOutputBinaryFile``493116
oinput`0`n`()->_$`dIOMode``493247
oinput`1`n`(_$)->Maybe((List(InputForm))->InputForm)`dBasicOperator``493310
oinput`2`n`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``493430
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``493640
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``493704
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`n`(S,_$)->_$`cBagAggregate(S)``493831
oinsert!`2`n`(S,_$)->_$`dBinarySearchTree(S)``493899
oinsert!`2`n`(S,_$)->_$`dBinaryTournament(S)``493995
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``494090
oinsert!`3`n`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``494186
oinsert!`3`n`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``494291
oinsertBottom!`2`n`(S,_$)->S`cDequeueAggregate(S)``494397
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``494524
oinsertRoot!`2`n`(S,_$)->_$`dBinarySearchTree(S)``494686
oinsertTop!`2`n`(S,_$)->S`cDequeueAggregate(S)``494784
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,_$,Integer)->_$`cLinearAggregate(S)``495017
oinsert`3`n`(_$,_$,Integer)->_$`cLinearAggregate(S)``495232
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`495483
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``495526
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`n`(_$)->S`cBagAggregate(S)``495574
ointChoose`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(upol:SparseUnivariatePolynomial(R),Lval:List(R),Lfact:List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),ctpol:R)`pMultivariateSquareFree(E,OV,R,P)``495639
ointPatternMatch`4`n`(F,Symbol,(F,Symbol)->IntegrationResult(F),(F,Symbol)->Union(Record(special:F,integrand:F),"failed"))->IntegrationResult(F)`pIntegrationTools(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,GcdDomain),has(R,PatternMatchable(Integer)),has(F,ElementaryFunctionCategory),has(F,LiouvillianFunctionCategory),has(F,RetractableTo(Symbol)))`495679
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``495926
oint`1`n`(_$)->_$`dOutputForm``496035
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``496121
oint`2`n`(_$,_$)->_$`dOutputForm``496204
oint`3`n`(_$,_$,_$)->_$`dOutputForm``496324
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``496482
ointeger?`1`n`(S)->Boolean`pIntegerRetractions(S)``496523
ointeger?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``496617
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``496700
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``496792
ointegerIfCan`1`n`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``496938
ointeger`1`n`(S)->Integer`pIntegerRetractions(S)``497042
ointeger`1`n`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``497136
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``497260
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`n`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``497318
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``497392
ointegral?`2`n`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``497482
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`n`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``497575
ointegralBasisAtInfinity`0`n`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``497662
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``497748
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``498562
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``499376
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``500182
ointegralBasis`0`n`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``500996
ointegralCoordinates`1`n`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``501068
ointegralDerivationMatrix`1`n`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``501265
ointegralLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``501591
ointegralMatrixAtInfinity`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``501720
ointegralMatrix`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``501932
ointegralRepresents`2`n`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``502140
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``502298
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``502391
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``502520
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`502606
ointegral`2`n`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``502699
ointegral`2`n`(_$,Symbol)->_$`cPrimitiveFunctionCategory``502831
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``502904
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`502973
ointegrate`1`n`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`503162
ointegrate`1`n`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`503279
ointegrate`1`n`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`503476
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`503665
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`503848
ointegrate`2`n`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``504096
ointegrate`2`n`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``504258
ointegrate`2`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``504371
ointegrate`2`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``504533
ointegrate`2`n`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`504695
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`504809
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`504939
ointegrate`2`n`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`505069
ointegrate`2`n`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`505199
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`505329
ointegrate`2`n`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`505459
ointegrate`2`n`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`505589
ointegrate`2`n`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`505750
ointegrate`2`n`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`505977
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`506166
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`506355
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`506544
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`506735
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`506924
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`507113
ointegrate`3`n`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``507304
ointegrate`3`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``507711
ointegrate`3`n`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``508118
ointegrate`3`n`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`508525
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`508675
ointensity`2`n`(_$,Float)->Void`dThreeDimensionalViewport``508825
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``509020
ointeractiveEnv`0`n`()->_$`dEnvironment``509323
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``509377
ointernalAugment`2`n`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``509418
ointernalAugment`2`n`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``509576
ointernalAugment`7`n`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``509682
ointernalAugment`7`n`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``509849
ointernalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`n`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`n`(P,TS,NonNegativeInteger,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalInfRittWu?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``510016
ointernalInfRittWu?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``510136
ointernalIntegrate0`2`n`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``510256
ointernalIntegrate`2`n`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``510339
ointernalIntegrate`2`n`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``510463
ointernalLastSubResultant`3`n`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``510546
ointernalLastSubResultant`5`n`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``510671
ointernalSubPolSet?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``510816
ointernalSubPolSet?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``511086
ointernalSubQuasiComponent?`2`n`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``511356
ointernalSubQuasiComponent?`2`n`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``511628
ointernalZeroSetSplit`4`n`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``511895
ointernalZeroSetSplit`4`n`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``512032
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``512169
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``512216
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``512265
ointerpret`1`n`(_$)->Any`dInputForm``512389
ointersect`1`n`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``512452
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``512539
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``512640
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``512815
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``512892
ointersect`2`n`(_$,_$)->_$`cSetAggregate(S)``512967
ointersect`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``513234
ointerval`1`n`(Fraction(Integer))->_$`cIntervalCategory(R)``513326
ointerval`1`n`(R)->_$`cIntervalCategory(R)``513392
ointerval`2`n`(R,R)->_$`cIntervalCategory(R)``513458
oinv`1`n`(S)->S`xComplexCategory&(S,R)``0
oinv`1`n`(S)->S`xField&(S)``0
oinv`1`n`(S)->S`xOctonionCategory&(S,R)``0
oinv`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oinv`1`n`(Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``513633
oinv`1`n`(_$)->_$`cDivisionRing``513706
oinv`1`n`(_$)->_$`cGroup``513799
oinv`1`n`(_$)->_$`cOctonionCategory(R)`has(R,Field)`513853
oinv`1`n`(_$)->_$`dEquation(S)`has(S,Field)`513920
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``513989
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``514024
oinverseColeman`3`n`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``514059
oinverseIntegralMatrixAtInfinity`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``514744
oinverseIntegralMatrix`0`n`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``514963
oinverseLaplace`3`n`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``515175
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``515346
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``515414
oinverse`1`n`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`515576
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``515729
oinverse`1`n`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`515949
oinverse`1`n`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`516111
oinverse`1`n`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`516243
oinvertIfCan`1`n`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`516405
oinvertible?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``516480
oinvertible?`2`n`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``516599
oinvertibleElseSplit?`2`n`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``516814
oinvertibleSet`2`n`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``517008
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`n`(_$,_$)->_$`cIntegerNumberSystem``517193
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``517280
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``517394
oiomode`1`n`(_$)->String`cFileCategory(Name,S)``517520
oip4Address`1`n`(String)->_$`dIP4Address``517666
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``517746
oiprint`1`n`(String)->Void`pInternalPrintPackage``517801
oirCtor`2`n`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``517896
oirDef`3`n`(Identifier,InternalTypeForm,_$)->_$`dInternalRepresentationForm``518009
oirForm`1`n`(_$)->InternalRepresentationForm`dElaboration``518159
oirVar`2`n`(Identifier,InternalTypeForm)->_$`dInternalRepresentationForm``518253
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`518362
oirreducible?`1`n`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``518423
oirreducibleFactor`2`n`(R,Integer)->_$`dFactored(R)``518507
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`518667
oirreducibleRepresentation`1`n`(List(PositiveInteger))->List(Matrix(Integer))`pIrrRepSymNatPackage``518978
oirreducibleRepresentation`2`n`(List(PositiveInteger),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``519317
oirreducibleRepresentation`2`n`(List(PositiveInteger),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``519533
ois?`2`n`(A,S)->Boolean`xOperatorCategory&(A,S)``0
ois?`2`n`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``519778
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``519891
ois?`2`n`(_$,BasicOperator)->Boolean`cExpressionSpace``519981
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``520063
ois?`2`n`(_$,S)->Boolean`cOperatorCategory(S)``520123
ois?`2`n`(_$,Symbol)->Boolean`cExpressionSpace``520204
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``520303
oisAbsolutelyIrreducible?`1`n`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`520376
oisAbsolutelyIrreducible?`2`n`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`520509
oisAnd`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``521000
oisAtom`1`n`(_$)->Maybe(T)`dPropositionalFormula(T)``521139
oisConnected?`1`n`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``521254
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``521396
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``521502
oisExpt`1`n`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`521613
oisExpt`1`n`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``521697
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`521809
oisExpt`2`n`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`521917
oisImplies`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``522023
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``522167
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`n`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`522267
oisNot`1`n`(_$)->Maybe(_$)`dPropositionalFormula(T)``522352
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``522471
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``522581
oisOpen?`1`n`(_$)->Boolean`dInputBinaryFile``522689
oisOpen?`1`n`(_$)->Boolean`dInputOutputBinaryFile``522753
oisOpen?`1`n`(_$)->Boolean`dOutputBinaryFile``522809
oisOr`1`n`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``522864
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``523002
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`523125
oisPlus`1`n`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``523220
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``523370
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``523507
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`523614
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``523699
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``523794
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``523891
oisTimes`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisTimes`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisTimes`1`n`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`524007
oisTimes`1`n`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``524101
oisTimes`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``524395
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`n`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``524519
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``524702
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``524766
oiterationVar`1`n`(_$)->Identifier`dInAst``524951
oiterationVar`1`n`(_$)->Identifier`dStepAst``525049
oiterators`1`n`(_$)->List(SpadAst)`dCollectAst``525171
oiterators`1`n`(_$)->List(SpadAst)`dRepeatAst``525263
ojacobiIdentity?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``525346
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``525554
ojacobi`2`n`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``525762
ojanko2`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``526040
ojanko2`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``526126
ojokerMode`0`n`()->_$`dInternalTypeForm``526342
ojordanAdmissible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``526433
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``526725
ojordanAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``527017
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``527365
ojust`1`n`(T)->_$`dMaybe(T)``527713
ojvmAbstract`0`n`()->_$`dJVMClassFileAccess``527765
ojvmAbstract`0`n`()->_$`dJVMMethodAccess``527856
ojvmClassConstantTag`0`n`()->_$`dJVMConstantTag``527938
ojvmDoubleConstantTag`0`n`()->_$`dJVMConstantTag``528020
ojvmFieldrefConstantTag`0`n`()->_$`dJVMConstantTag``528092
ojvmFinal`0`n`()->_$`dJVMClassFileAccess``528168
ojvmFinal`0`n`()->_$`dJVMFieldAccess``528241
ojvmFinal`0`n`()->_$`dJVMMethodAccess``528330
ojvmFloatConstantTag`0`n`()->_$`dJVMConstantTag``528420
ojvmIntegerConstantTag`0`n`()->_$`dJVMConstantTag``528491
ojvmInterfaceMethodConstantTag`0`n`()->_$`dJVMConstantTag``528565
ojvmInterface`0`n`()->_$`dJVMClassFileAccess``528647
ojvmLongConstantTag`0`n`()->_$`dJVMConstantTag``528709
ojvmMethodrefConstantTag`0`n`()->_$`dJVMConstantTag``528779
ojvmNameAndTypeConstantTag`0`n`()->_$`dJVMConstantTag``528856
ojvmNative`0`n`()->_$`dJVMMethodAccess``528957
ojvmPrivate`0`n`()->_$`dJVMFieldAccess``529049
ojvmPrivate`0`n`()->_$`dJVMMethodAccess``529145
ojvmProtected`0`n`()->_$`dJVMFieldAccess``529242
ojvmProtected`0`n`()->_$`dJVMMethodAccess``529334
ojvmPublic`0`n`()->_$`dJVMClassFileAccess``529427
ojvmPublic`0`n`()->_$`dJVMFieldAccess``529518
ojvmPublic`0`n`()->_$`dJVMMethodAccess``529605
ojvmStatic`0`n`()->_$`dJVMFieldAccess``529693
ojvmStatic`0`n`()->_$`dJVMMethodAccess``529731
ojvmStrict`0`n`()->_$`dJVMMethodAccess``529770
ojvmStringConstantTag`0`n`()->_$`dJVMConstantTag``529855
ojvmSuper`0`n`()->_$`dJVMClassFileAccess``529927
ojvmSynchronized`0`n`()->_$`dJVMMethodAccess``529999
ojvmTransient`0`n`()->_$`dJVMFieldAccess``530044
ojvmUTF8ConstantTag`0`n`()->_$`dJVMConstantTag``530085
ojvmVolatile`0`n`()->_$`dJVMFieldAccess``530198
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`n`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``530238
okaratsubaOnce`2`n`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``530329
okaratsuba`4`n`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``530488
okernel`1`n`(Symbol)->_$`dKernel(S)``530831
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,List(_$))->_$`cExpressionSpace``530892
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,_$)->_$`cExpressionSpace``530985
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``531067
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(_$)->List(Kernel(_$))`cExpressionSpace``531252
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`n`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``531418
okey`1`n`(_$)->Integer`dGraphImage``531488
okey`1`n`(_$)->Integer`dThreeDimensionalViewport``531605
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``531767
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`n`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``531925
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`n`(_$)->ConstructorKind`cConstructorCategory``531992
okind`1`n`(_$)->ConstructorKind`dCategoryAst``532061
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``532153
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``532234
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``532281
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``532601
okroneckerDelta`0`n`()->_$`dCartesianTensor(minix,dim,R)``533039
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``533231
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``533343
olabel`2`n`(_$,_$)->_$`dOutputForm``533452
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``533525
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``533655
olaguerreL`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``533809
olaguerreL`3`n`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``533979
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``534124
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``534403
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``534572
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``534881
olaplace`3`n`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``535245
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`535507
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``535677
olastSubResultantElseSplit`3`n`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``535830
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``536176
olastSubResultant`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`536363
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`536641
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``536876
olastSubResultant`3`n`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``537011
olast`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
olast`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
olast`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
olast`1`n`(_$)->S`cDoublyLinkedAggregate(S)``537693
olast`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``537808
olast`1`n`(_$)->SpadAst`dSequenceAst``537975
olast`1`n`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``538034
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``538189
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`n`(_$)->String`cSetCategory``538364
olaurentIfCan`1`n`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``538448
olaurentRep`1`n`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``538603
olaurent`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``538735
olaurent`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``538918
olaurent`1`n`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``538988
olaurent`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``539121
olaurent`2`n`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``539233
olaurent`2`n`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``539475
olaurent`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``539533
olaurent`3`n`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``539716
olaurent`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``539884
olazy?`1`n`(_$)->Boolean`cLazyStreamAggregate(S)``540055
olazyEvaluate`1`n`(_$)->_$`cLazyStreamAggregate(S)``540223
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`540500
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`540574
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`540662
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``541140
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``541328
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`n`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``541538
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`n`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``541731
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``541957
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``542236
olazyPseudoDivide`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:R,gap:NonNegativeInteger,quotient:_$,remainder:_$)`dNewSparseUnivariatePolynomial(R)``542588
olazyPseudoDivide`2`n`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``542901
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`n`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``543177
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``543492
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``543667
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``543950
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``544322
olazyVariations`3`n`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`544638
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`n`(List(_$))->_$`cGcdDomain``544774
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`n`(_$,_$)->_$`cGcdDomain``544867
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`n`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``544950
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``545124
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``545227
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``545325
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->A`cIndexedDirectProductCategory(A,S)``545656
oleadingCoefficient`1`n`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``545839
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``545936
oleadingCoefficient`1`n`(_$)->R`cAbelianMonoidRing(R,E)``546037
oleadingCoefficient`1`n`(_$)->R`cFreeModuleCat(R,Basis)``546130
oleadingCoefficient`1`n`(_$)->R`cMonogenicLinearOperator(R)``546236
oleadingCoefficient`1`n`(_$)->R`cUnivariateSkewPolynomialCategory(R)``546348
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``546460
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``546566
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``546616
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`546663
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`n`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``546831
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``547022
oleadingIdeal`1`n`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``547069
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``547182
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->Basis`cFreeModuleCat(R,Basis)``547226
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`547343
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``547502
oleadingMonomial`1`n`(_$)->_$`cAbelianMonoidRing(R,E)``547549
oleadingMonomial`1`n`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``547640
oleadingSupport`1`n`(_$)->S`cIndexedDirectProductCategory(A,S)``547723
oleadingTerm`1`n`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``547892
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`cRecursiveAggregate(S)``547984
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``548045
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``548082
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``548337
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``548668
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`n`(_$)->List(S)`cRecursiveAggregate(S)``548785
oleftAlternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``548919
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``549132
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``549345
oleftDiscriminant`0`n`()->R`cFramedNonAssociativeAlgebra(R)``549503
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``549871
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``550239
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``550540
oleftDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`550735
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`550930
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``551171
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`n`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`551295
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`551419
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``551527
oleftFactor`2`n`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``551764
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``551808
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`552044
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``552280
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`552478
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`552677
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``552911
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``553037
oleftOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`553135
oleftOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`553192
oleftPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
oleftPower`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``553249
oleftPower`2`n`(_$,PositiveInteger)->_$`cMonad``553431
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``553613
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`553801
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`553989
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`554085
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``554324
oleftRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``554563
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`554721
oleftRecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``554934
oleftReducedSystem`1`n`(Vector(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``555116
oleftReducedSystem`2`n`(Vector(_$),_$)->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``555379
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`n`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``555659
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``555831
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``556028
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`556217
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``556406
oleftTraceMatrix`0`n`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``556596
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``556878
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``557160
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``557368
oleftTrim`2`n`(_$,Character)->_$`cStringAggregate``557461
oleftTrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``557629
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`557808
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`557933
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``558057
oleftZero`1`n`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`558180
oleft`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``558237
oleft`1`n`(_$)->_$`cBinaryRecursiveAggregate(S)``558311
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``558357
oleft`1`n`(_$)->_$`dMagma(VarSet)``558513
oleft`1`n`(_$)->_$`dOutputForm``558664
oleft`2`n`(_$,Integer)->_$`dOutputForm``558731
olegendreP`2`n`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`558816
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``558982
olegendre`2`n`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``559258
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``559609
olength`1`n`(_$)->NonNegativeInteger`cQueueAggregate(S)``559720
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``559827
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``559883
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``559975
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``560048
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``560131
olength`1`n`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`560214
olength`1`n`(_$)->_$`cIntegerNumberSystem``560317
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``560371
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``560405
oless?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``560507
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``560583
olevel`1`n`(_$)->Integer`dExitAst``560781
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``560842
oleviCivitaSymbol`0`n`()->_$`dCartesianTensor(minix,dim,R)``560979
olexGroebner`2`n`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``561198
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``561384
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``561783
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``561850
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``562059
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``562401
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``562568
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``562727
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``562959
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``563089
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``563160
olfunc`2`n`(Integer,Integer)->Integer`pHallBasis``563379
olhs`1`n`(_$)->F`dRewriteRule(Base,R,F)``563602
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``563672
olhs`1`n`(_$)->S`dEquation(S)``563727
olhs`1`n`(_$)->SpadAst`dCaseAst``563801
olhs`1`n`(_$)->SpadAst`dColonAst``563877
olhs`1`n`(_$)->SpadAst`dHasAst``563954
olhs`1`n`(_$)->SpadAst`dIsAst``564029
olhs`1`n`(_$)->SpadAst`dLetAst``564103
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``564185
oli`1`n`(_$)->_$`cLiouvillianFunctionCategory``564238
olibrary`1`n`(FileName)->_$`dLibrary``564360
olieAdmissible?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``564414
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``564621
olieAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``564828
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``565144
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``565460
olift`1`n`(_$)->P`dModMonic(R,P)``565552
olift`1`n`(_$)->UP`cMonogenicAlgebra(R,UP)``565588
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``565690
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``565728
olifting1`9`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(P)),List(R),List(P),List(List(Record(expt:NonNegativeInteger,pcoef:P))),List(NonNegativeInteger),Vector(List(SparseUnivariatePolynomial(R))),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``565763
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``565825
olight`1`n`(Color)->_$`dPalette``565881
olighting`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``565966
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``566227
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``566299
olimit`2`n`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``566373
olimit`2`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``566454
olimit`2`n`(Fraction(Polynomial(R)),Equation(OrderedCompletion(Polynomial(R))))->Union(OrderedCompletion(Fraction(Polynomial(R))),Record(leftHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed"),rightHandLimit:Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")),"failed")`pRationalFunctionLimitPackage(R)``566578
olimit`3`n`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``566702
olimit`3`n`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``566891
olimitedIntegrate`3`n`(Fraction(Polynomial(F)),Symbol,List(Fraction(Polynomial(F))))->Union(Record(mainpart:Fraction(Polynomial(F)),limitedlogs:List(Record(coeff:Fraction(Polynomial(F)),logand:Fraction(Polynomial(F))))),"failed")`pRationalFunctionIntegration(F)``567156
olimitedint`2`n`(Fraction(UP),List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pRationalIntegration(F,UP)``567401
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``567632
olinSolve`2`n`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``567670
olineColorDefault`0`n`()->Palette`pViewDefaultsPackage``567821
olineColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``567925
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``568051
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`n`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`568203
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`568868
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`n`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`569021
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`569257
olinearDependenceOverZ`1`n`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``569412
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``569633
olinearElement`1`n`(List(K))->_$`dLinearElement(K,B)``569843
olinearForm`1`n`(List(K))->_$`dLinearForm(K,B)``570001
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``570152
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``570316
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``570354
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``570394
olinearlyDependentOverZ?`1`n`(Vector(R))->Boolean`pIntegerLinearDependence(R)``570543
olinears`2`n`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``570701
olinefeed`0`n`()->_$`dCharacter``570880
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``570939
olist?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``571001
olistBranches`1`n`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``571082
olistBranches`1`n`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``571198
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``571314
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``571551
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`n`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``571668
olistOfLists`1`n`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``571757
olistOfLists`1`n`(_$)->List(List(S))`dTableau(S)``571846
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``571922
olistRepresentation`1`n`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``572004
olistYoungTableaus`1`n`(List(PositiveInteger))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``572372
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`n`(S)->_$`cListAggregate(S)``572845
olist`1`n`(_$)->List(_$)`dSymbol``572909
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``573013
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``573049
olittleEndian`0`n`()->_$`dByteOrder``573118
olllip`1`n`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``573174
olllp`1`n`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``573444
ollprop`1`n`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``573702
olo`1`n`(_$)->S`cSegmentCategory(S)``573958
oloadNativeModule`1`n`(String)->Void`pSystem``574045
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``574143
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``574338
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``574533
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``575376
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``576225
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``577066
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``577915
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``577975
olog10`0`n`()->_$`dFloat``578029
olog10`1`n`(_$)->_$`dDoubleFloat``578097
olog10`1`n`(_$)->_$`dFloat``578170
olog2`0`n`()->_$`dFloat``578241
olog2`1`n`(_$)->_$`dDoubleFloat``578327
olog2`1`n`(_$)->_$`dFloat``578398
ologGamma`1`n`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``578467
ologGamma`1`n`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``578591
ologIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``578715
olog`1`n`(F)->F`pElementaryFunction(R,F)``578802
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``578866
olog`1`n`(S)->S`xComplexCategory&(S,R)``0
olog`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``579010
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``579068
olog`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``579126
olog`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``579197
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``579270
olog`1`n`(_$)->_$`cElementaryFunctionCategory``579342
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``579406
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`579526
ological?`1`n`(_$)->Boolean`dFortranScalarType``579650
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``579742
olookupFunction`1`n`(_$)->Identifier`dFunctorData``579822
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``579936
olookup`1`n`(_$)->PositiveInteger`cFinite``580010
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``580098
olow`1`n`(_$)->S`cSegmentCategory(S)``580572
olowerBound`1`n`(_$)->SpadAst`dStepAst``580661
olowerCase!`1`n`(_$)->_$`cStringAggregate``580762
olowerCase?`1`n`(_$)->Boolean`dCharacter``580866
olowerCase`0`n`()->_$`dCharacterClass``580977
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`n`(_$)->_$`cStringAggregate``581101
olowerCase`1`n`(_$)->_$`dCharacter``581182
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``581353
olp`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``581505
olprop`1`n`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``581801
olquo`2`n`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``582003
olquo`2`n`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``582117
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``582207
olquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``582289
olquo`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)``582481
olquo`2`n`(_$,vl)->_$`cXFreeAlgebra(vl,R)``582562
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``582656
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``582732
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``582814
omacroExpand`2`n`(SpadAst,Environment)->SpadAst`pCompilerPackage``582941
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`n`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`583088
omainCharacterization`1`n`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``583191
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``583302
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`583639
omainDefiningPolynomial`1`n`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``583872
omainExpression`1`n`(_$)->SpadAst`dWhereAst``583999
omainForm`1`n`(_$)->Union(OutputForm,"failed")`cRealClosedField``584090
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`n`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``584180
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``584341
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`n`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``584601
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`584925
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`585171
omainValue`1`n`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``585420
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`n`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``585544
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``585684
omainVariable`1`n`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``585843
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``586002
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`n`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``586202
omakeCos`2`n`(E,R)->_$`dFourierSeries(R,E)``586348
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``586434
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``586471
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``586595
omakeFR`2`n`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``586702
omakeFloatFunction`2`n`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``586798
omakeFloatFunction`3`n`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``587054
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``587377
omakeGraphImage`1`n`(_$)->_$`dGraphImage``587735
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``588139
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``588717
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``589355
omakeObject`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``589439
omakeObject`2`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``589701
omakeObject`2`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``589963
omakeObject`3`n`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``590269
omakeObject`3`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``590600
omakeObject`3`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``590856
omakeObject`3`n`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``591133
omakeObject`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``591446
omakeObject`3`n`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``591777
omakeObject`3`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``592189
omakeObject`3`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``592535
omakeObject`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``592936
omakeObject`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``593298
omakeObject`4`n`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``593673
omakeObject`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``594084
omakeObject`4`n`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``594518
omakeRecord`2`n`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``595015
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``595170
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`n`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``595253
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``595380
omakeSin`2`n`(E,R)->_$`dFourierSeries(R,E)``595498
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``595584
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``596477
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``596610
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``596677
omakeVariable`1`n`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`596992
omakeVariable`2`n`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``597313
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``597453
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``597675
omakeViewport3D`1`n`(_$)->_$`dThreeDimensionalViewport``598008
omakeViewport3D`2`n`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``598234
omakeViewport3D`2`n`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``598567
omakeYoungTableau`2`n`(List(PositiveInteger),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``598809
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``599084
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``599137
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``599179
omantissa`1`n`(_$)->Integer`cFloatingPointSystem``599269
omap!`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap!`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap!`2`n`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``599334
omap!`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap!`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap!`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap!`2`n`((S)->S,A)->A`xStreamAggregate&(A,S)``0
omap!`2`n`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`599419
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``599531
omapCoef`2`n`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``599636
omapDown!`3`n`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``599720
omapDown!`3`n`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``600148
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``600726
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``600811
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`cFreeMonoidCategory(S)``600896
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`n`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``600981
omapGen`2`n`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``601107
omapGen`2`n`((S)->S,_$)->_$`cFreeMonoidCategory(S)``601190
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``601273
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``601356
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``601439
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``601608
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``601650
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``601813
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``601915
omapUp!`2`n`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``602017
omapUp!`3`n`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``602339
omap`2`n`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``602817
omap`2`n`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``602964
omap`2`n`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``603104
omap`2`n`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``603228
omap`2`n`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``603303
omap`2`n`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``603469
omap`2`n`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``603653
omap`2`n`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``603790
omap`2`n`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``603962
omap`2`n`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``604073
omap`2`n`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``604266
omap`2`n`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``604406
omap`2`n`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``604565
omap`2`n`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``604602
omap`2`n`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``604639
omap`2`n`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``604676
omap`2`n`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``604795
omap`2`n`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``604901
omap`2`n`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``605007
omap`2`n`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``605046
omap`2`n`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``605141
omap`2`n`((E)->F,Union(Record(mainpart:E,limitedlogs:List(Record(coeff:E,logand:E))),"failed"))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pIntegrationResultFunctions2(E,F)``605179
omap`2`n`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``605218
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``605257
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``605363
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``605402
omap`2`n`((R)->R,_$)->_$`cFreeModuleCat(R,Basis)``605511
omap`2`n`((R)->R,_$)->_$`cFullyEvalableOver(R)``605634
omap`2`n`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``605727
omap`2`n`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``605829
omap`2`n`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``605924
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``606020
omap`2`n`((R)->R,_$)->_$`dFactored(R)``606112
omap`2`n`((R)->R,_$)->_$`dMonoidRing(R,M)``606386
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``606495
omap`2`n`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``606591
omap`2`n`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``606688
omap`2`n`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``606879
omap`2`n`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``606959
omap`2`n`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``607044
omap`2`n`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``607316
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``607493
omap`2`n`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``607622
omap`2`n`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``607710
omap`2`n`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``607824
omap`2`n`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``607995
omap`2`n`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``608033
omap`2`n`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``608320
omap`2`n`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``608442
omap`2`n`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``608587
omap`2`n`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`608677
omap`2`n`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``608898
omap`2`n`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``608965
omap`2`n`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``609041
omap`2`n`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``609174
omap`2`n`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`609307
omap`2`n`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``609395
omap`2`n`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``609506
omap`2`n`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``609586
omap`2`n`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``609625
omap`2`n`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``609664
omap`2`n`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``609757
omap`2`n`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``609850
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``609887
omap`2`n`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``609981
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``610074
omap`2`n`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``610234
omap`2`n`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``610393
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``610489
omap`2`n`((S)->S,_$)->_$`cHomogeneousAggregate(S)``610704
omap`2`n`((S)->S,_$)->_$`dEquation(S)``610914
omap`2`n`((S)->S,_$)->_$`dInfiniteTuple(S)``611015
omap`2`n`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``611095
omap`2`n`((S)->T,PropositionalFormula(S))->PropositionalFormula(T)`pPropositionalFormulaFunctions2(S,T)``611221
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``611380
omap`2`n`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``611417
omap`3`n`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``611508
omap`3`n`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``611547
omap`3`n`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``611586
omap`3`n`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``611997
omap`3`n`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``612036
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``612267
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``612509
omap`3`n`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``612646
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`3`n`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``612763
omap`3`n`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``612899
omap`3`n`((S,S)->S,A,A)->A`xListAggregate&(A,S)``0
omap`3`n`((S,S)->S,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`3`n`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``613003
omap`3`n`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``613310
omap`4`n`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``613615
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`n`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``613783
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`614089
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``614166
omappingAst`2`n`(List(TypeAst),TypeAst)->_$`dMappingAst``614244
omappingMode`2`n`(_$,List(_$))->_$`dInternalTypeForm``614318
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`n`(_$)->_$`cIntegerNumberSystem``614433
omatch?`3`n`(_$,_$,Character)->Boolean`cStringAggregate``614501
omatch`2`n`(List(A),List(B))->(A)->B`pListToMap(A,B)``614686
omatch`3`n`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``615066
omatch`3`n`(List(A),List(B),A)->B`pListToMap(A,B)``615434
omatch`3`n`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``615791
omatch`3`n`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``616162
omatch`4`n`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``616687
omatch`4`n`(List(A),List(B),A,B)->B`pListToMap(A,B)``617070
omathieu11`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``617438
omathieu11`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``617528
omathieu12`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``617750
omathieu12`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``617840
omathieu22`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``618059
omathieu22`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``618149
omathieu23`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``618369
omathieu23`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``618459
omathieu24`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``618679
omathieu24`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``618769
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``618989
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``619152
omatrix`1`n`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``619298
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``619444
omatrix`1`n`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``619554
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``619638
omaxColIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``619753
omaxColIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``619845
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`619935
omaxPoints3D`0`n`()->Integer`dPlot3D``620186
omaxPoints`0`n`()->Integer`dPlot``620262
omaxPoints`0`n`()->Integer`pGraphicsDefaults``620335
omaxPoints`1`n`(Integer)->Integer`pGraphicsDefaults``620409
omaxRowIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``620480
omaxRowIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``620569
omax`0`n`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`620656
omax`0`n`()->_$`cOrderedFinite``620719
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`620765
omax`1`n`(_$)->S`cPriorityQueueAggregate(S)``620837
omax`2`n`(S,S)->S`xOrderedType&(S)``0
omax`2`n`(_$,_$)->_$`cOrderedType``620914
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``621008
omaxdeg`1`n`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``621166
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``621252
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``621334
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`n`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``621398
omeatAxe`1`n`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`621637
omeatAxe`2`n`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`622661
omeatAxe`2`n`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`623040
omeatAxe`4`n`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`623213
omedialSet`1`n`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``624272
omedialSet`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``624379
omember?`2`n`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``624958
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``625077
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`625179
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``625367
omembers`1`n`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`625522
omembers`1`n`(_$)->List(S)`dMultiset(S)``625718
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`n`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`625848
omerge!`2`n`(_$,_$)->_$`cPriorityQueueAggregate(S)``625937
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``626063
omergeDifference`2`n`(List(S),List(S))->List(S)`pMergeThing(S)``626160
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``626342
omerge`1`n`(List(_$))->_$`cThreeSpaceCategory(R)``626662
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``626847
omerge`2`n`(A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`626926
omerge`2`n`(_$,_$)->_$`cPriorityQueueAggregate(S)``627076
omerge`2`n`(_$,_$)->_$`cThreeSpaceCategory(R)``627204
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``627379
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``627468
omesh?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``628095
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``628309
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``628362
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``628416
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``628467
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``628521
omesh`1`n`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``628578
omesh`1`n`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``628789
omesh`3`n`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``629051
omesh`4`n`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``629777
omesh`4`n`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``630668
omesh`4`n`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``631202
omesh`4`n`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``631967
omessagePrint`1`n`(String)->Void`dOutputForm``632330
omessage`1`n`(String)->_$`dOutputForm``632470
omiddle`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``632555
omidpoint`1`n`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``632627
omidpoints`1`n`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``632704
omightHaveRoots`2`n`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``632809
ominColIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``632914
ominColIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``633007
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``633098
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`633136
ominPoints3D`0`n`()->Integer`dPlot3D``633352
ominPoints`0`n`()->Integer`dPlot``633428
ominPoints`0`n`()->Integer`pGraphicsDefaults``633501
ominPoints`1`n`(Integer)->Integer`pGraphicsDefaults``633575
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``633646
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``633681
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`633716
ominPoly`1`n`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`633786
ominRowIndex`1`n`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``633855
ominRowIndex`1`n`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``633945
omin`0`n`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`634033
omin`0`n`()->_$`cOrderedFinite``634096
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`634142
omin`1`n`(_$)->S`cOrderedMultisetAggregate(S)``634215
omin`2`n`(S,S)->S`xOrderedType&(S)``0
omin`2`n`(_$,_$)->_$`cOrderedType``634299
omindegTerm`1`n`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``634393
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``634470
omindeg`1`n`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``634628
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``634724
ominimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``634843
ominimalPolynomial`1`n`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`634964
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`n`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`635043
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``635200
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`n`(_$)->E`cFiniteAbelianMonoidRing(R,E)``635276
ominimumDegree`1`n`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``635399
ominimumDegree`1`n`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``635544
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``635688
ominimumDegree`2`n`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``635837
ominordet`1`n`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``636007
ominordet`1`n`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`636131
ominordet`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`636255
ominrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``636343
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``636425
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``636574
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``636723
ominusInfinity`0`n`()->OrderedCompletion(Integer)`pInfinity``636922
ominusInfinity`0`n`()->_$`dOrderedCompletion(R)``636975
omirror`1`n`(_$)->_$`cFreeLieAlgebra(VarSet,R)``637024
omirror`1`n`(_$)->_$`cXFreeAlgebra(vl,R)``637138
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``637238
omirror`1`n`(_$)->_$`dMagma(VarSet)``637336
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``637601
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``637664
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``637699
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``637861
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`638116
omkcomm`1`n`(Integer)->_$`dCommutator``638235
omkcomm`2`n`(_$,_$)->_$`dCommutator``638275
omodTree`2`n`(R,List(R))->List(R)`pCRApackage(R)``638317
omodifyPointData`3`n`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``638360
omodifyPointData`3`n`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``638623
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``638855
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``639353
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``639819
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``640130
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``640628
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``640753
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``640862
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`641697
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``641773
omoduloP`1`n`(_$)->Integer`cPAdicIntegerCategory(p)``641867
omodulus`0`n`()->Integer`cPAdicIntegerCategory(p)``641930
omodulus`0`n`()->P`dModMonic(R,P)``641985
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``642023
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``642062
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``642101
omoebiusMu`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``642140
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``642416
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``642484
omonic?`1`n`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``642587
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``642800
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``642993
omonicDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``643135
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`n`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)``643314
omonicLeftDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`643559
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`643783
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``644053
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``644205
omonicRightDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`644429
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`644655
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``644927
omonoidOperation`2`n`((T,T)->T,T)->_$`dMonoidOperation(T)``645186
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``645306
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``645629
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``645996
omonom`2`n`(Basis,R)->_$`cFreeModuleCat(R,Basis)``646091
omonom`2`n`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``646210
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`cAbelianMonoidRing(R,E)``646305
omonomial?`1`n`(_$)->Boolean`cFreeModuleCat(R,Basis)``646372
omonomial?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``646459
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``646532
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``646599
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``646640
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``646707
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``646869
omonomial`2`n`(A,S)->_$`cIndexedDirectProductCategory(A,S)``647085
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``647193
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,E)->_$`cAbelianMonoidRing(R,E)``647294
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``647389
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``647431
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``647516
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`n`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``647558
omonomial`2`n`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``647684
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``647810
omonomial`3`n`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``647900
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``647996
omonomial`3`n`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``648071
omonomial`3`n`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``648125
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``648177
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cFreeModuleCat(R,Basis)``648338
omonomials`1`n`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``648423
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``648601
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`648683
omore?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``648890
omoreAlgebraic?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``648969
omoreAlgebraic?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``649248
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``649527
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``649608
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``649688
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``649814
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``650064
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``650310
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``650479
omulmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``650654
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``650730
omultiEuclideanTree`2`n`(List(R),R)->List(R)`pCRApackage(R)``650775
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`n`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``650829
omultinomial`2`n`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``651032
omultiple?`1`n`(_$)->Boolean`dPattern(R)``651141
omultiple`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``651286
omultiple`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``651592
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``651862
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``652072
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``652290
omultiplyExponents`2`n`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``652451
omultiplyExponents`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``652584
omultiplyExponents`2`n`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``652752
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``652877
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``652995
omultiset`0`n`()->_$`dMultiset(S)``653136
omultiset`1`n`(List(S))->_$`dMultiset(S)``653217
omultiset`1`n`(S)->_$`dMultiset(S)``653293
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``653363
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``653464
omultivariate`2`n`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``653565
omultivariate`2`n`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``653697
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``653829
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``653877
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``653978
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`n`(_$)->V`cRecursivePolynomialCategory(R,E,V)``654117
omvar`1`n`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``654340
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``654493
oname`1`n`(_$)->Identifier`dBinding``654532
oname`1`n`(_$)->Identifier`dHeadAst``654591
oname`1`n`(_$)->Identifier`dOverloadSet``654664
oname`1`n`(_$)->Identifier`dProperty``654733
oname`1`n`(_$)->Identifier`dSignatureAst``654793
oname`1`n`(_$)->Name`cFileCategory(Name,S)``654854
oname`1`n`(_$)->S`cOperatorCategory(S)``654924
oname`1`n`(_$)->SpadAst`dAttributeAst``654987
oname`1`n`(_$)->String`cFileNameCategory``655112
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``655174
oname`1`n`(_$)->Symbol`dRuleCalled(f)``655215
oname`1`n`(_$)->_$`dSymbol``655256
onan?`1`n`(_$)->Boolean`dDoubleFloat``655316
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`n`(_$,_$)->_$`cBitAggregate``655416
onand`2`n`(_$,_$)->_$`dBoolean``655521
onary?`1`n`(_$)->Boolean`dBasicOperator``655600
onativeModuleExtension`0`n`()->String`pSystem``655664
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``655771
oncols`1`n`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``655848
onegative?`1`n`(S)->Boolean`xOrderedAbelianGroup&(S)``0
onegative?`1`n`(_$)->Boolean`cIntervalCategory(R)``655923
onegative?`1`n`(_$)->Boolean`cOrderedAbelianGroup``656054
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``656124
oneutralValue`1`n`(_$)->T`cMonoidOperatorCategory(T)``656226
onewLine`0`n`()->String`pDisplayPackage``656315
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``656375
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``656414
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``656521
onew`0`n`()->_$`dDataArray(N,T)``656565
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``656644
onew`0`n`()->_$`dPatternMatchResult(R,S)``656698
onew`0`n`()->_$`dSubSpace(n,R)``656752
onew`0`n`()->_$`dSubSpaceComponentProperty``656786
onew`0`n`()->_$`dSymbol``656820
onew`0`n`()->_$`dTexFormat``656888
onew`1`n`(R)->_$`dSquareMatrix(ndim,R)``657059
onew`1`n`(_$)->_$`dSymbol``657193
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`n`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``657270
onew`3`n`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``657341
onew`3`n`(String,String,String)->_$`cFileNameCategory``657433
onewline`0`n`()->_$`dCharacter``657745
onextColeman`3`n`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``657802
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``658123
onextItem`1`n`(A)->Maybe(A)`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Maybe(S)`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Maybe(S)`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Maybe(S)`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`n`(_$)->Maybe(_$)`cStepThrough``658830
onextLatticePermutation`3`n`(List(PositiveInteger),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``658922
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``659360
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``660196
onextPartition`3`n`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``661190
onextPartition`3`n`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``661582
onextPrime`1`n`(I)->I`pIntegerPrimesPackage(I)``661974
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``662058
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``663119
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``663943
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``664036
onext`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``665080
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``665306
onextsubResultant2`4`n`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`665539
onil?`1`n`(_$)->Boolean`dSyntax``665791
onilFactor`2`n`(R,Integer)->_$`dFactored(R)``665871
onil`0`n`()->_$`dList(S)``666023
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`666060
onoKaratsuba`2`n`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``666332
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``666422
onoValueMode`0`n`()->_$`dInternalTypeForm``666665
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`n`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`666775
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``666904
onode`3`n`(_$,S,_$)->_$`cBinaryTreeCategory(S)``667017
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`n`(_$)->List(_$)`cRecursiveAggregate(S)``667156
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``667237
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`667277
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``667404
ononcommutativeJordanAlgebra?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``667531
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``667632
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`n`(_$,_$)->_$`cBitAggregate``667733
onor`2`n`(_$,_$)->_$`dBoolean``667836
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``667913
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``667954
onormInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``667997
onorm`1`n`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``668104
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``668222
onorm`1`n`(_$)->F`cFiniteAlgebraicExtensionField(F)``668353
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``668495
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``668557
onorm`1`n`(_$)->R`cComplexCategory(R)``668620
onorm`1`n`(_$)->R`cFiniteRankAlgebra(R,UP)``668681
onorm`1`n`(_$)->R`cOctonionCategory(R)``668796
onorm`1`n`(_$)->R`cQuaternionCategory(R)``668906
onorm`1`n`(_$)->_$`cRealNumberSystem``669002
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``669059
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``669187
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``669315
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``669444
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``669573
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``669645
onorm`2`n`(_$,Kernel(_$))->_$`dAlgebraicNumber``669740
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``669874
onorm`2`n`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``670008
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``670143
onorm`2`n`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`670278
onormal01`0`n`()->Float`pRandomFloatDistributions``670565
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``670604
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``670769
onormal?`1`n`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`670868
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``671151
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``671284
onormalElement`0`n`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`671383
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``671831
onormalForm`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`671942
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``672115
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``672355
onormalise`1`n`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``672395
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``672560
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``672632
onormalize`1`n`(F)->F`pElementaryFunctionStructurePackage(R,F)``672743
onormalize`1`n`(_$)->_$`dFloat``672863
onormalize`2`n`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``672932
onormalize`2`n`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``673074
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``673180
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``673380
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``673590
onormalized?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``673745
onormalizedAssociate`2`n`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``673929
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`674253
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``674453
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(S)->S`xBooleanLogic&(S)``0
onot`1`n`(_$)->_$`cBooleanLogic``674653
onot`1`n`(_$)->_$`dOutputForm``674721
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``674777
onothing`0`n`()->_$`dMaybe(T)``674860
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``674922
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``674957
onrows`1`n`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``675031
onsqfree`3`n`(SparseUnivariatePolynomial(P),List(OV),List(List(R)))->Record(unitPart:P,suPart:List(Record(factor:SparseUnivariatePolynomial(P),exponent:Integer)))`pMultivariateSquareFree(E,OV,R,P)``675103
onthCoef`2`n`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``675141
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``675223
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``675307
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`cFreeMonoidCategory(S)``675391
onthExponent`2`n`(_$,Integer)->Integer`dFactored(R)``675475
onthFactor`2`n`(_$,Integer)->R`dFactored(R)``675689
onthFactor`2`n`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``675968
onthFactor`2`n`(_$,Integer)->S`cFreeMonoidCategory(S)``676047
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``676130
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``676213
onthFlag`2`n`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``676296
onthFractionalTerm`2`n`(_$,Integer)->_$`dPartialFraction(R)``676518
onthRootIfCan`2`n`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``676685
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``676796
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`n`(_$,Integer)->_$`cRadicalCategory``677086
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``677154
onull?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``677210
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ATTRIBUTE(shallowlyMutable))`677291
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ATTRIBUTE(shallowlyMutable))`677377
onullSpace`1`n`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`677463
onullSpace`1`n`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`677549
onullSpace`1`n`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`677635
onull`1`n`(_$)->Boolean`dList(S)``677722
onullary?`1`n`(_$)->Boolean`dBasicOperator``677786
onullary`1`n`(A)->()->A`pMappingPackage1(A)``677844
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``677928
onullity`1`n`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`678061
onullity`1`n`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`678194
onullity`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`678327
onumFunEvals3D`0`n`()->Integer`dPlot3D``678460
onumFunEvals`0`n`()->Integer`dPlot``678529
onumber?`1`n`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`678595
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``678650
onumberOfComponents`0`n`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``678698
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``678790
onumberOfComponents`1`n`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``678882
onumberOfComposites`1`n`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``679077
onumberOfComputedEntries`1`n`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``679543
onumberOfCycles`1`n`(_$)->NonNegativeInteger`dPermutation(S)``679722
onumberOfDivisors`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``679824
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``680017
onumberOfFactors`1`n`(_$)->NonNegativeInteger`dFactored(R)``680306
onumberOfFractionalTerms`1`n`(_$)->Integer`dPartialFraction(R)``680392
onumberOfHues`0`n`()->PositiveInteger`dColor``680533
onumberOfImproperPartitions`2`n`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``680616
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``681054
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``681220
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``681318
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``681398
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``681509
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``681648
onumberOfVariables`2`n`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`n`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R,S)``681793
onumer`1`n`(_$)->M`dLocalize(M,R,S)``681850
onumer`1`n`(_$)->S`cQuotientFieldCategory(S)``681907
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``681978
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``682088
onumer`1`n`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`682198
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``682437
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`682509
onumerator`1`n`(_$)->_$`cQuotientFieldCategory(S)``682587
onumerators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``682673
onumericIfCan`1`n`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`682871
onumericIfCan`1`n`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`682996
onumericIfCan`1`n`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`683121
onumericIfCan`2`n`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`683246
onumericIfCan`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`683404
onumericIfCan`2`n`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`683561
onumeric`1`n`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`683718
onumeric`1`n`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`683785
onumeric`1`n`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`683852
onumeric`1`n`(S)->Float`pNumeric(S)``683919
onumeric`2`n`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`683986
onumeric`2`n`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`684086
onumeric`2`n`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`684185
onumeric`2`n`(S,PositiveInteger)->Float`pNumeric(S)``684284
oobj`1`n`(_$)->None`dAny``684384
oobjects`1`n`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``684536
ooblateSpheroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``684767
oocton`2`n`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``685080
oocton`8`n`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``685188
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`n`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`685270
oodd?`1`n`(_$)->Boolean`cIntegerNumberSystem``685337
oodd?`1`n`(_$)->Boolean`dPermutation(S)``685411
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``685544
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``685687
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``685830
ooddInfiniteProduct`1`n`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``685973
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``686116
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``686177
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``686503
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``686877
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``686964
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``687082
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`n`(_$)->Boolean`cMonadWithUnit``687216
oone?`1`n`(_$)->Boolean`cMonoid``687276
oone?`1`n`(_$)->Boolean`dArity``687331
oone?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``687404
ooneDimensionalArray`1`n`(List(S))->_$`dOneDimensionalArray(S)``687510
ooneDimensionalArray`2`n`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``687597
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``687694
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``687767
oopen`1`n`(Name)->_$`cFileCategory(Name,S)``687842
oopen`2`n`(Name,String)->_$`cFileCategory(Name,S)``687906
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`n`(_$)->List(OverloadSet)`cConstructorCategory``688020
ooperator`1`n`(BasicOperator)->BasicOperator`cExpressionSpace``688183
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``688295
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``688527
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``688697
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``688787
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``688959
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``689038
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``689150
ooperator`1`n`(Symbol)->_$`dBasicOperator``689328
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``689408
ooperator`1`n`(_$)->SpadAst`dReduceAst``689471
ooperator`2`n`(S,Arity)->_$`dTermAlgebraOperator(S)``689540
ooperator`2`n`(Symbol,Arity)->_$`dBasicOperator``689628
ooperator`2`n`(Symbol,NonNegativeInteger)->_$`dBasicOperator``689708
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`n`(_$)->List(BasicOperator)`cExpressionSpace``689783
oopeval`2`n`(BasicOperator,M)->M`dModuleOperator(R,M)``689900
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
ooption?`2`n`(List(_$),Symbol)->Boolean`dDrawOption``689953
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``690154
ooption`2`n`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``690340
ooptional?`1`n`(_$)->Boolean`dPattern(R)``690483
ooptional`1`n`(F)->F`pFunctionSpaceAssertions(R,F)``690587
ooptional`1`n`(Symbol)->Expression(Integer)`pPatternMatchAssertions``690761
ooptions`1`n`(_$)->List(DrawOption)`dThreeDimensionalViewport``690900
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``691129
ooptions`2`n`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``691357
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``691640
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``691925
oor`2`n`(S,S)->S`xBooleanLogic&(S)``0
oor`2`n`(_$,_$)->_$`cBooleanLogic``692039
oor`2`n`(_$,_$)->_$`dOutputForm``692110
oorbit`2`n`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``692166
oorbit`2`n`(_$,S)->Set(S)`cPermutationCategory(S)``692371
oorbit`2`n`(_$,S)->Set(S)`dPermutationGroup(S)``692558
oorbit`2`n`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``692746
oorbits`1`n`(_$)->Set(Set(S))`dPermutationGroup(S)``692849
oord`1`n`(_$)->NonNegativeInteger`dCharacter``692984
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``693125
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``693162
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``693199
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``693236
oorder`1`n`(_$)->Integer`cFloatingPointSystem``693392
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``693514
oorder`1`n`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``693551
oorder`1`n`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``693757
oorder`1`n`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``693874
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``693970
oorder`1`n`(_$)->NonNegativeInteger`dPermutation(S)``694126
oorder`1`n`(_$)->NonNegativeInteger`dPermutationGroup(S)``694213
oorder`1`n`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``694278
oorder`1`n`(_$)->PositiveInteger`cFiniteFieldCategory``694401
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``694537
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``694652
oorder`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``694736
oorder`2`n`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``694859
oorder`2`n`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`695011
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``695177
oorder`3`n`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``695218
oorthonormalBasis`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``695279
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`n`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`695444
ooutlineRender`2`n`(_$,String)->Void`dThreeDimensionalViewport``695579
ooutputArgs`4`n`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``695981
ooutputAsFortran`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``696107
ooutputAsFortran`1`n`(OutputForm)->Void`pSpecialOutputPackage``696277
ooutputAsFortran`2`n`(String,OutputForm)->Void`pSpecialOutputPackage``696351
ooutputAsScript`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``696500
ooutputAsScript`1`n`(OutputForm)->Void`pSpecialOutputPackage``696688
ooutputAsTex`1`n`(List(OutputForm))->Void`pSpecialOutputPackage``696840
ooutputAsTex`1`n`(OutputForm)->Void`pSpecialOutputPackage``697001
ooutputBinaryFile`1`n`(FileName)->_$`dOutputBinaryFile``697125
ooutputBinaryFile`1`n`(String)->_$`dOutputBinaryFile``697245
ooutputFixed`0`n`()->Void`dFloat``697365
ooutputFixed`1`n`(NonNegativeInteger)->Void`dFloat``697480
ooutputFloating`0`n`()->Void`dFloat``697613
ooutputFloating`1`n`(NonNegativeInteger)->Void`dFloat``697796
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``697951
ooutputForm`1`n`(Integer)->_$`dOutputForm``698023
ooutputForm`1`n`(String)->_$`dOutputForm``698089
ooutputForm`1`n`(Symbol)->_$`dOutputForm``698154
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``698219
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``698399
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``698519
ooutputGeneral`0`n`()->Void`dFloat``699104
ooutputGeneral`1`n`(NonNegativeInteger)->Void`dFloat``699295
ooutputList`1`n`(List(Any))->Void`pOutputPackage``699411
ooutputSpacing`1`n`(NonNegativeInteger)->Void`dFloat``699614
ooutput`0`n`()->_$`dIOMode``699754
ooutput`1`n`(OutputForm)->Void`pOutputPackage``699818
ooutput`1`n`(String)->Void`pOutputPackage``699959
ooutput`2`n`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`700095
ooutput`2`n`(String,OutputForm)->Void`pOutputPackage``700185
oover`2`n`(_$,_$)->_$`dOutputForm``700353
ooverbar`1`n`(_$)->_$`dOutputForm``700445
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``700513
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`cFreeMonoidCategory(S)``700599
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``700796
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``700936
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``701022
opack!`1`n`(_$)->_$`dKeyedAccessFile(Entry)``701110
opack!`1`n`(_$)->_$`dLibrary``701196
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``701282
opackage`0`n`()->_$`dConstructorKind``701371
opade`3`n`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``701425
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``701645
opade`4`n`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``701948
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``702251
opadicFraction`1`n`(_$)->_$`dPartialFraction(R)``702566
opadicallyExpand`2`n`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``702833
opair?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``702961
opair`2`n`(S,T)->_$`dPair(S,T)``703040
opalgLODE0`6`n`(L,F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`703111
opalgLODE0`7`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`703291
opalgLODE`5`n`(L,F,Kernel(F),Kernel(F),Symbol)->Record(particular:Union(F,"failed"),basis:List(F))`pPureAlgebraicIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`703526
opalgRDE0`7`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),F,SparseUnivariatePolynomial(F))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``703654
opalgRDE0`8`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``704113
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``704631
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``705031
opalgextint0`7`n`(F,Kernel(F),Kernel(F),F,Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``705284
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``705701
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``705909
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``706109
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``706281
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``706584
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``706708
opalglimint0`6`n`(F,Kernel(F),Kernel(F),List(F),F,SparseUnivariatePolynomial(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``706856
opalglimint0`7`n`(F,Kernel(F),Kernel(F),List(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pGenusZeroIntegration(R,F,L)``707208
opalglimint`4`n`(F,Kernel(F),Kernel(F),List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pPureAlgebraicIntegration(R,F,L)``707622
oparabolicCylindrical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``707904
oparabolic`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``708148
oparaboloidal`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``708355
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``708610
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``708699
oparameters`1`n`(_$)->List(ParameterAst)`dHeadAst``708772
oparametric?`1`n`(_$)->Boolean`dPlot``708861
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`cExpressionSpace``708931
oparen`1`n`(List(_$))->_$`dOutputForm``709214
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`cExpressionSpace``709342
oparen`1`n`(_$)->_$`dOutputForm``709565
oparent`1`n`(_$)->_$`dSubSpace(n,R)``709640
oparents`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``709823
oparseString`1`n`(String)->_$`dInputForm``709926
oparse`1`n`(String)->List(Syntax)`pSpadParser``710005
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`n`(_$,_$)->Boolean`cSetAggregate(S)``710335
opartialDenominators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``710469
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``710690
opartialFraction`2`n`(R,Factored(R))->_$`dPartialFraction(R)``710841
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``711004
opartialNumerators`1`n`(_$)->Stream(R)`dContinuedFraction(R)``711236
opartialQuotients`1`n`(_$)->Stream(R)`dContinuedFraction(R)``711451
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``711674
oparticularSolution`2`n`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``711724
oparticularSolution`2`n`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``711826
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``711928
opartition`1`n`(I)->I`pIntegerCombinatoricFunctions(I)``712247
opartition`1`n`(List(PositiveInteger))->_$`dPartition``712428
opartitions`1`n`(NonNegativeInteger)->Stream(_$)`dPartition``712509
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(S)->List(R)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oparts`1`n`(S)->List(Record(key:Key,entry:Entry))`xTableAggregate&(S,Key,Entry)``0
oparts`1`n`(_$)->List(PositiveInteger)`dPartition``712591
oparts`1`n`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``712695
oparts`1`n`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`712780
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``712974
opastel`1`n`(Color)->_$`dPalette``713121
opatternMatchTimes`4`n`(List(P),List(Pattern(S)),PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``713217
opatternMatch`3`n`(A,Pattern(Float),PatternMatchResult(Float,A))->PatternMatchResult(Float,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(Integer),PatternMatchResult(Integer,A))->PatternMatchResult(Integer,A)`xQuotientFieldCategory&(A,S)``0
opatternMatch`3`n`(A,Pattern(S),PatternMatchResult(S,B))->PatternMatchResult(S,B)`pPatternMatchPushDown(S,A,B)``713472
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`713786
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``713987
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``714178
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``714360
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``714552
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`714731
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``714916
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(S,Pattern(Float),PatternMatchResult(Float,S))->PatternMatchResult(Float,S)`xRealNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xComplexCategory&(S,R)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xIntegerNumberSystem&(S)``0
opatternMatch`3`n`(S,Pattern(Integer),PatternMatchResult(Integer,S))->PatternMatchResult(Integer,S)`xPolynomialCategory&(S,R,E,VarSet)``0
opatternMatch`3`n`(Symbol,Pattern(S),PatternMatchResult(S,Symbol))->PatternMatchResult(S,Symbol)`pPatternMatchSymbol(S)``715103
opatternMatch`3`n`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``715320
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``715625
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``715882
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``716263
opattern`1`n`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``716454
opdct`1`n`(_$)->PositiveInteger`dPartition``716557
operfectNthPower?`2`n`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``716710
operfectNthRoot`1`n`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``716828
operfectNthRoot`2`n`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``716991
operfectSqrt`1`n`(I)->Union(I,"failed")`pIntegerRoots(I)``717131
operfectSquare?`1`n`(I)->Boolean`pIntegerRoots(I)``717259
opermanent`1`n`(SquareMatrix(n,R))->R`pPermanent(n,R)``717370
opermutationGroup`1`n`(List(Permutation(S)))->_$`dPermutationGroup(S)``718615
opermutationRepresentation`1`n`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``718727
opermutationRepresentation`1`n`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``718911
opermutationRepresentation`2`n`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``719147
opermutationRepresentation`2`n`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``719356
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``719509
opermutation`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``719667
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`n`(_$,_$)->_$`cCombinatorialFunctionCategory``719813
opermutations`1`n`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``719969
operspective`2`n`(_$,String)->Void`dThreeDimensionalViewport``720075
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``720328
ophysicalLength!`2`n`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``720584
ophysicalLength`1`n`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``720701
opi`0`n`()->F`pElementaryFunction(R,F)``720803
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`cTranscendentalFunctionCategory``720853
opi`0`n`()->_$`dPi``720904
opile`1`n`(List(_$))->_$`dOutputForm``720957
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`n`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``721157
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``721309
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``721689
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``722150
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``722367
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``722584
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``722701
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``722817
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``722905
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``723034
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``723072
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``723110
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``723252
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``723401
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``723591
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``723670
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``723791
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``723967
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``724211
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``724265
oplusInfinity`0`n`()->OrderedCompletion(Integer)`pInfinity``724455
oplusInfinity`0`n`()->_$`dOrderedCompletion(R)``724507
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``724555
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``724673
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`724798
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`725009
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`725135
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``725290
opoint?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``725363
opointColorDefault`0`n`()->Palette`pViewDefaultsPackage``725527
opointColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``725615
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``725725
opointColor`1`n`(Float)->_$`dDrawOption``725951
opointColor`1`n`(Palette)->_$`dDrawOption``726094
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``726265
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``726385
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``726533
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``726714
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``726875
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``727138
opointSizeDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``727187
opointSizeDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``727277
opoint`1`n`(List(R))->_$`cPointCategory(R)``727377
opoint`1`n`(Point(R))->_$`cThreeSpaceCategory(R)``727490
opoint`1`n`(_$)->Point(R)`cThreeSpaceCategory(R)``727610
opoint`2`n`(_$,List(R))->_$`cThreeSpaceCategory(R)``727790
opoint`2`n`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``728040
opoint`2`n`(_$,Point(R))->_$`cThreeSpaceCategory(R)``728202
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``728444
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``728782
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``729021
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``729285
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``729324
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``729798
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`n`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`729906
opolar`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``730021
opole?`1`n`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``730233
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``730308
opolyPart`1`n`(_$)->UP`dFullPartialFractionExpansion(F,UP)``730447
opolyRDE`5`n`(UP,UP,UP,Integer,(UP)->UP)->Union(ans:Record(ans:UP,nosol:Boolean),eq:Record(b:UP,c:UP,m:Integer,alpha:UP,beta:UP))`pTranscendentalRischDE(F,UP)``730514
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``731064
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``731441
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``731832
opolygamma`2`n`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``731925
opolygamma`2`n`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``732007
opolygamma`2`n`(_$,_$)->_$`cSpecialFunctionCategory``732089
opolygon?`1`n`(_$)->Boolean`cThreeSpaceCategory(R)``732223
opolygon`1`n`(List(Point(R)))->_$`cThreeSpaceCategory(R)``732373
opolygon`1`n`(_$)->List(Point(R))`cThreeSpaceCategory(R)``732552
opolygon`2`n`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``732781
opolygon`2`n`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``733137
opolynomial`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``733297
opolynomial`2`n`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``733418
opolynomial`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``733539
opolynomial`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``733687
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``733835
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`n`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``733874
opop!`1`n`(_$)->S`cStackAggregate(S)``734031
oport`1`n`(SingleInteger)->_$`dPortNumber``734251
oposition!`2`n`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``734319
oposition`1`n`(_$)->NonNegativeInteger`cCachableSet``734395
oposition`1`n`(_$)->SingleInteger`dInputBinaryFile``734474
oposition`2`n`((S)->Boolean,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``734551
oposition`2`n`(S,A)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`734754
oposition`3`n`(CharacterClass,_$,Integer)->Integer`cStringAggregate``734911
oposition`3`n`(S,A,Integer)->Integer`xFiniteLinearAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xListAggregate&(A,S)``0
oposition`3`n`(S,A,Integer)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`3`n`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`735051
oposition`3`n`(_$,_$,Integer)->Integer`cStringAggregate``735253
opositive?`1`n`(S)->Boolean`xOrderedAbelianMonoid&(S)``0
opositive?`1`n`(_$)->Boolean`cIntervalCategory(R)``735409
opositive?`1`n`(_$)->Boolean`cOrderedAbelianMonoid``735540
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``735613
opositiveRemainder`2`n`(_$,_$)->_$`cIntegerNumberSystem``735715
opositiveSolve`1`n`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``735838
opositiveSolve`1`n`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``735928
opositiveSolve`2`n`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``736054
opositiveSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``736144
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(_$)->Boolean`cStreamAggregate(S)``736990
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``737204
opostfix`2`n`(_$,_$)->_$`dOutputForm``737360
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,P)``737434
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``737468
opowerAssociative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``737742
opowerSum`1`n`(PositiveInteger)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``737848
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`737936
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`738025
opowers`1`n`(_$)->List(Pair(PositiveInteger,PositiveInteger))`dPartition``738103
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``738258
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``738335
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``738514
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``738683
oprecision`0`n`()->PositiveInteger`cFloatingPointSystem``738742
oprecision`1`n`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`738806
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``738891
opredicate`1`n`(_$)->SpadAst`dSuchThatAst``739044
opredicates`1`n`(_$)->List(Any)`dPattern(R)``739150
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`n`(_$,_$)->Boolean`cStringAggregate``739279
oprefixRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``739511
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``739726
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``739873
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`n`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``740053
oprepareDecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``740223
oprepareDecompose`4`n`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``740350
oprepareSubResAlgo`3`n`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``740477
opreprocess`3`n`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``740599
opreprocess`3`n`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``740715
opresub`2`n`(_$,_$)->_$`dOutputForm``740831
opresuper`2`n`(_$,_$)->_$`dOutputForm``740913
oprevPrime`1`n`(I)->I`pIntegerPrimesPackage(I)``740999
oprevious`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``741083
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`741270
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`741396
oprimaryDecomp`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl,nv)``741569
oprime?`1`n`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``741685
oprime?`1`n`(I)->Boolean`pIntegerPrimesPackage(I)``741759
oprime?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``742890
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`n`(_$)->Boolean`cUniqueFactorizationDomain``742952
oprimeFactor`2`n`(R,Integer)->_$`dFactored(R)``743116
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`n`(_$)->_$`cFieldOfPrimeCharacteristic``743264
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`n`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``743356
oprime`1`n`(_$)->_$`dOutputForm``743453
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``743545
oprimes`2`n`(I,I)->List(I)`pIntegerPrimesPackage(I)``743625
oprimextendedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``743713
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``744059
oprimintegrate`3`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``744304
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``744510
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``744710
oprimitive?`1`n`(_$)->Boolean`cFiniteFieldCategory``744859
oprimitiveElement`0`n`()->_$`cFiniteFieldCategory``745096
oprimitiveElement`1`n`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``745296
oprimitiveElement`2`n`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`745546
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``745876
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``746265
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``746657
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``746999
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`747194
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`n`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`747283
oprimitivePart`1`n`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``747406
oprimitivePart`1`n`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`747529
oprimitivePart`1`n`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`747653
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`747784
oprimitivePart`2`n`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`747981
oprimlimintfrac`3`n`(Fraction(UP),(UP)->UP,List(Fraction(UP)))->Union(Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),"failed")`pTranscendentalIntegration(F,UP)``748145
oprimlimitedint`4`n`(Fraction(UP),(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),List(Fraction(UP)))->Union(Record(answer:Record(mainpart:Fraction(UP),limitedlogs:List(Record(coeff:Fraction(UP),logand:Fraction(UP)))),a0:F),"failed")`pTranscendentalIntegration(F,UP)``748338
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``748694
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`n`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``748728
oprincipalAncestors`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``748808
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`n`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``748937
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``749155
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``749193
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``749233
oprintHeader`0`n`()->Void`dTheSymbolTable``749272
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``749420
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``749566
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``749716
oprintInfo`2`n`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`n`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``749961
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``750013
oprintTypes`1`n`(_$)->Void`dSymbolTable``750134
oprint`1`n`(OutputForm)->Void`pPrintPackage``750255
oprint`1`n`(_$)->Void`dOutputForm``750366
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``750415
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``750536
oprod`1`n`(_$)->_$`dOutputForm``750712
oprod`2`n`(_$,_$)->_$`dOutputForm``750800
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``750924
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``751086
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``751192
oproduct`2`n`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``751339
oproduct`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``751445
oproduct`2`n`(_$,_$)->_$`cGradedAlgebra(R,E)``751592
oproduct`2`n`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``752024
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``752287
oprolateSpheroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``752397
oprologue`1`n`(_$)->List(String)`dTexFormat``752713
oproperties`1`n`(_$)->AssociationList(String,None)`dBasicOperator``752793
oproperties`1`n`(_$)->List(Property)`dBinding``752894
oproperty`2`n`(Identifier,SExpression)->_$`dProperty``752979
oproperty`2`n`(_$,Identifier)->Maybe(None)`dBasicOperator``753062
oproperty`2`n`(_$,String)->Union(None,"failed")`dBasicOperator``753191
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`n`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`753318
opseudoDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``753511
opseudoDivide`2`n`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``753759
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`753875
opseudoRemainder`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``754067
opsolve`1`n`(Matrix(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``754304
opsolve`2`n`(Matrix(GR),List(GR))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``754433
opsolve`2`n`(Matrix(GR),List(Symbol))->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``754583
opsolve`2`n`(Matrix(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``754734
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``754875
opsolve`3`n`(Matrix(GR),List(GR),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``755102
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``755266
opsolve`3`n`(Matrix(GR),List(Symbol),PositiveInteger)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``755502
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``755667
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``755904
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``756103
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``756346
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``756597
optree`1`n`(S)->_$`dPendantTree(S)``756690
optree`2`n`(_$,_$)->_$`dPendantTree(S)``756737
opuiseux`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``756776
opuiseux`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``756959
opuiseux`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``757029
opuiseux`2`n`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``757141
opuiseux`2`n`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``757383
opuiseux`3`n`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``757436
opuiseux`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``757604
opuiseux`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``757826
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``758040
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`n`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``758177
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``758518
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``758658
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`n`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``758854
opush!`2`n`(S,_$)->S`cStackAggregate(S)``759002
opushNewContour`2`n`(Binding,_$)->_$`dScope``759264
opush`2`n`(Binding,_$)->_$`dContour``759341
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``759404
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``759449
opushdown`2`n`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``759493
opushdterm`2`n`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``759643
opushucoef`2`n`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``759796
opushuconst`2`n`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``759944
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``760080
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``760123
opushup`2`n`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``760165
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``760323
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``760527
oputProperties`3`n`(Identifier,List(Property),_$)->_$`dEnvironment``760939
oputProperty`4`n`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``761046
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``761159
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`n`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``761376
oqelt`2`n`(_$,NonNegativeInteger)->T`dDataArray(N,T)``761745
oqelt`3`n`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``761844
oqelt`3`n`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``762038
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``762210
oqinterval`2`n`(R,R)->_$`cIntervalCategory(R)``762322
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``762462
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``762508
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`762599
oqsetelt!`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``762851
oqsetelt`3`n`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``763028
oquadraticForm`1`n`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``763148
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``763248
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``763334
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``763375
oqualifier`1`n`(_$)->SpadAst`dWhereAst``763420
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``763492
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``763531
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``763578
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`n`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``763772
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`n`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``763929
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``764144
oquasiRegular?`1`n`(_$)->Boolean`cXFreeAlgebra(vl,R)``764326
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``764407
oquasiRegular`1`n`(_$)->_$`cXFreeAlgebra(vl,R)``764488
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``764559
oquatern`4`n`(R,R,R,R)->_$`cQuaternionCategory(R)``764630
oqueue`1`n`(List(S))->_$`dQueue(S)``764699
oquickSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``764853
oquoByVar`1`n`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``764976
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`cEuclideanDomain``765245
oquo`2`n`(_$,_$)->_$`dNonNegativeInteger``765354
oquo`2`n`(_$,_$)->_$`dOutputForm``765451
oquote`0`n`()->_$`dCharacter``765508
oquote`1`n`(_$)->_$`dOutputForm``765577
oquoted?`1`n`(_$)->Boolean`dPattern(R)``765647
oquotedOperators`1`n`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``765731
oquotientByP`1`n`(_$)->_$`cPAdicIntegerCategory(p)``765958
oquotient`2`n`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``766033
oquotient`2`n`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``766184
orCoord`1`n`(Point(R))->R`pPointPackage(R)``766287
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``766558
oradicalEigenvalues`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``766683
oradicalEigenvector`2`n`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``766837
oradicalEigenvectors`1`n`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``767035
oradicalOfLeftTraceForm`0`n`()->List(A)`pAlgebraPackage(R,A)``767216
oradicalRoots`2`n`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``767454
oradicalRoots`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``767606
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(nv,NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl,nv)``767784
oradicalSolve`1`n`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``768102
oradicalSolve`1`n`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``768299
oradicalSolve`1`n`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``768465
oradicalSolve`1`n`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``768676
oradicalSolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``768867
oradicalSolve`2`n`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``769036
oradicalSolve`2`n`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``769229
oradicalSolve`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``769426
oradical`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``769657
oradix`2`n`(Fraction(Integer),Integer)->Any`pRadixUtilities``769725
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``769807
oramified?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``769969
oramified?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``770036
oramifiedAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``770106
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``770173
orandnum`0`n`()->Integer`pRandomNumberSource``770269
orandnum`1`n`(Integer)->Integer`pRandomNumberSource``770334
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``770402
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``770463
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``770519
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``770579
orandom`0`n`()->A`xFiniteSetAggregate&(A,S)``0
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`n`()->_$`cFinite``770641
orandom`0`n`()->_$`cIntegerNumberSystem``770703
orandom`0`n`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`770752
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``770802
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``770925
orandom`1`n`(_$)->Permutation(S)`dPermutationGroup(S)``771009
orandom`1`n`(_$)->_$`cIntegerNumberSystem``771145
orandom`1`n`(_$)->_$`dNonNegativeInteger``771216
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``771287
orandom`2`n`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``771454
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``771560
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``771640
orange`1`n`(List(Segment(Float)))->_$`dDrawOption``771759
orange`1`n`(List(Segment(Fraction(Integer))))->_$`dDrawOption``771884
oranges`1`n`(List(Segment(Float)))->_$`dDrawOption``772009
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``772141
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``772295
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``772499
orank`0`n`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``772730
orank`0`n`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``772784
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``772857
orank`1`n`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`772920
orank`1`n`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`772983
orank`1`n`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`773046
orank`1`n`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``773109
orank`2`n`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``773252
orank`2`n`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``773366
orarrow`2`n`(_$,_$)->_$`dOutputForm``773480
oratDenom`1`n`(F)->F`pAlgebraicManipulations(R,F)``773552
oratDenom`2`n`(F,F)->F`pAlgebraicManipulations(R,F)``773690
oratDenom`2`n`(F,List(F))->F`pAlgebraicManipulations(R,F)``773806
oratDenom`2`n`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``773932
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``774050
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``774355
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``774581
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``774886
oratPoly`1`n`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``775112
orational?`1`n`(S)->Boolean`pRationalRetractions(S)``775240
orational?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
orational?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
orational?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
orational?`1`n`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`775347
orational?`1`n`(_$)->Boolean`cIntegerNumberSystem``775414
orational?`1`n`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`775515
orational?`1`n`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`775631
orational?`1`n`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`775827
orational?`1`n`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`775947
orational?`1`n`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`776021
orationalApproximation`2`n`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``776095
orationalApproximation`2`n`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``776231
orationalApproximation`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``776367
orationalApproximation`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``776545
orationalFunction`2`n`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`776721
orationalFunction`3`n`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`776855
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``777016
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`777135
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``777257
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`777362
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`777477
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`777702
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`777812
orationalIfCan`1`n`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`777924
orationalPoint?`2`n`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``778037
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``778115
orationalPoints`0`n`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`778193
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``778276
orationalPower`1`n`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``778359
orational`1`n`(S)->Fraction(Integer)`pRationalRetractions(S)``778457
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`n`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`778566
orational`1`n`(_$)->Fraction(Integer)`cIntegerNumberSystem``778676
orational`1`n`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`778764
orational`1`n`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`778884
orational`1`n`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`779095
orational`1`n`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`779255
orational`1`n`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`779372
oratpart`1`n`(_$)->F`dIntegrationResult(F)``779487
oravel`1`n`(_$)->List(R)`dCartesianTensor(minix,dim,R)``779564
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``779685
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``779728
oread!`1`n`(_$)->S`cFileCategory(Name,S)``779801
oreadByte!`1`n`(_$)->Maybe(Byte)`cInputByteConduit``779965
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`n`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``780115
oreadIfCan!`1`n`(_$)->Union(S,"failed")`dFile(S)``780304
oreadIfCan!`1`n`(_$)->Union(String,"failed")`dTextFile``780499
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`n`(_$)->Maybe(Int16)`cInputByteConduit``780712
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`n`(_$)->Maybe(Int32)`cInputByteConduit``780874
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`n`(_$)->Maybe(Int8)`cInputByteConduit``781036
oreadLine!`1`n`(_$)->String`dTextFile``781196
oreadLineIfCan!`1`n`(_$)->Union(String,"failed")`dTextFile``781290
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`n`(_$)->Maybe(UInt16)`cInputByteConduit``781507
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`n`(_$)->Maybe(UInt32)`cInputByteConduit``781670
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`n`(_$)->Maybe(UInt8)`cInputByteConduit``781833
oreadable?`1`n`(_$)->Boolean`cFileNameCategory``781994
oreal?`1`n`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``782085
oreal?`1`n`(F)->Boolean`pTrigonometricManipulations(R,F)``782150
oreal?`1`n`(_$)->Boolean`dFortranScalarType``782215
orealEigenvalues`2`n`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``782301
orealEigenvectors`2`n`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``782528
orealElementary`1`n`(F)->F`pElementaryFunctionStructurePackage(R,F)``782825
orealElementary`2`n`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``782975
orealRoots`2`n`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``783161
orealRoots`3`n`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``783278
orealSolve`1`n`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``783599
orealSolve`1`n`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``783686
orealSolve`2`n`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``783966
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``784060
orealSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``784272
orealSolve`4`n`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``784374
orealZeros`1`n`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``785273
orealZeros`1`n`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``785404
orealZeros`2`n`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``785535
orealZeros`2`n`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``785694
orealZeros`2`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``785853
orealZeros`2`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``786047
orealZeros`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``786241
orealZeros`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``786466
oreal`1`n`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``786691
oreal`1`n`(F)->F`pTrigonometricManipulations(R,F)``786785
oreal`1`n`(_$)->R`cComplexCategory(R)``786879
oreal`1`n`(_$)->R`cOctonionCategory(R)``786932
oreal`1`n`(_$)->R`cQuaternionCategory(R)``786995
orecip`0`n`()->_$`dMoebiusTransform(F)``787064
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``787162
orecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`787265
orecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``787491
orecip`1`n`(_$)->Union(_$,"failed")`cMonoid``787686
orecip`1`n`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``787826
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``787940
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``787977
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``788014
orecip`2`n`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``788058
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`n`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``788254
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``788346
orecolor`2`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``788516
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``788614
orecur`1`n`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``788739
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``788850
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``788911
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``788945
ored`0`n`()->_$`dColor``788980
ored`1`n`(_$)->T`cRGBColorModel(T)``789053
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``789110
oredpps`2`n`(Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))),List(GR))->Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))`pParametricLinearEquations(R,Var,Expon,GR)``789247
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`n`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``789361
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``789521
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``789650
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``789993
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`790080
oreduce`1`n`(P)->_$`dModMonic(R,P)``790164
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``790202
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(UP)->_$`cMonogenicAlgebra(R,UP)``790242
oreduce`1`n`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``790395
oreduce`1`n`(_$)->_$`dAlgebraicNumber``790526
oreduce`1`n`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`790655
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``790787
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,_$)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`790916
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``791330
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``791370
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``791410
oreduce`3`n`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``791450
oreduce`3`n`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``791620
oreduce`3`n`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``791977
oreduce`3`n`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``792313
oreduce`3`n`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``792643
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``792813
oreduce`3`n`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``792940
oreduce`3`n`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``793073
oreduce`3`n`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``793397
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`793713
oreduce`3`n`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``794152
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`794354
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``794786
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``795478
oreduced?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``795627
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`n`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``795742
oreducedContinuedFraction`2`n`(R,Stream(R))->_$`dContinuedFraction(R)``796013
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``796309
oreducedForm`1`n`(_$)->_$`dContinuedFraction(R)``796361
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``796597
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``796760
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``796898
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``797061
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``797222
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``797330
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cAbelianMonoidRing(R,E)``797421
oreductum`1`n`(_$)->_$`cFreeModuleCat(R,Basis)``797532
oreductum`1`n`(_$)->_$`cIndexedDirectProductCategory(A,S)``797599
oreductum`1`n`(_$)->_$`cMonogenicLinearOperator(R)``797766
oreductum`1`n`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``797884
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``798002
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``798187
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``798368
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``798408
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`798448
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``798514
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`n`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``798623
oref`1`n`(S)->_$`dReference(S)``798793
orefine`1`n`(_$)->_$`dPlot3D``798858
orefine`1`n`(_$)->_$`dPlot``798896
orefine`1`n`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``798963
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``799046
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``799450
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``799492
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``799532
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``799572
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``799751
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``799930
orefine`3`n`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``800234
oreflect`1`n`(ConstructorCall(DomainConstructor))->_$`dDomain``800538
oregime`7`n`(Record(det:GR,rows:List(Integer),cols:List(Integer)),Matrix(GR),List(Fraction(Polynomial(R))),List(List(GR)),NonNegativeInteger,NonNegativeInteger,Integer)->Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))`pParametricLinearEquations(R,Var,Expon,GR)``800722
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``801568
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`n`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``801844
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``801996
oreify`1`n`(_$)->ConstructorCall(DomainConstructor)`dDomain``802168
oreindex`2`n`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``802239
orelationsIdeal`1`n`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`802487
orelativeApprox`2`n`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``802599
orelativeApprox`3`n`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``802737
orelativeApprox`3`n`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``802878
orelerror`2`n`(_$,_$)->Integer`dFloat``803010
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`cEuclideanDomain``803126
orem`2`n`(_$,_$)->_$`dNonNegativeInteger``803236
orem`2`n`(_$,_$)->_$`dOutputForm``803306
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`n`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`803363
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`803708
oremove!`2`n`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``803864
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``804000
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(S,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`804204
oremove!`2`n`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`804345
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``804429
oremove!`3`n`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``804501
oremove!`3`n`(S,_$,Integer)->_$`dMultiset(S)``804796
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`805043
oremoveCosSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``805153
oremoveCoshSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``805332
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`n`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`805515
oremoveDuplicates!`1`n`(_$)->_$`cMultiDictionary(S)``805598
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`n`(_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`805700
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`805790
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`806089
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`806460
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``806811
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``807526
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``807822
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``808133
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``808266
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`808483
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``808849
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``809001
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``809311
oremoveSinSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``809600
oremoveSinhSq`1`n`(F)->F`pTranscendentalManipulations(R,F)``809779
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``809962
oremoveSuperfluousCases`1`n`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``810148
oremoveSuperfluousCases`1`n`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``810254
oremoveSuperfluousQuasiComponents`1`n`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``810360
oremoveSuperfluousQuasiComponents`1`n`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``810542
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``810724
oremoveZeroes`1`n`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``811031
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``811570
oremoveZeroes`2`n`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``812134
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``812598
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`812710
oremove`2`n`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``812954
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`813148
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``813361
oremove`3`n`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``813584
oremove`3`n`(S,_$,Integer)->_$`dMultiset(S)``813864
orename!`2`n`(_$,OutputForm)->_$`cRealClosedField``814096
orename`2`n`(_$,OutputForm)->_$`cRealClosedField``814180
oreopen!`2`n`(_$,String)->_$`cFileCategory(Name,S)``814258
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``814446
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``814588
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``814730
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``814872
orepeating?`2`n`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`815003
orepeating`1`n`(List(S))->_$`dStream(S)``815138
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``815222
oreplace`3`n`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``815410
orepresentationType`0`n`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``815534
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``815691
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->_$`cFramedAlgebra(R,UP)``815830
orepresents`1`n`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``815971
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``816136
orepresents`2`n`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``816220
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``816329
oreseed`1`n`(Integer)->Void`pRandomNumberSource``816425
oresetBadValues`1`n`(_$)->_$`dPattern(R)``816499
oresetNew`0`n`()->Void`dSymbol``816659
oresetVariableOrder`0`n`()->Void`pUserDefinedVariableOrdering``816786
oreset`1`n`(_$)->Void`dThreeDimensionalViewport``816910
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``817130
oreshape`2`n`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``817346
oreshape`2`n`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``817387
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``817507
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``817756
oresolve`1`n`(Hostname)->Maybe(_$)`dIP4Address``818001
orest`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
orest`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`1`n`(S)->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
orest`1`n`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``818070
orest`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``818238
orest`1`n`(_$)->_$`dMagma(VarSet)``818378
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``818536
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``818600
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`n`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``818675
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``818809
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``819039
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``819178
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`819352
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`819539
oresultant`2`n`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`819664
oresultant`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`819757
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``820012
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`820122
oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``820255
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Any)->Union(S,"failed")`pAnyFunctions1(S)``820420
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``820586
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``820630
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`820809
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`820957
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`821105
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`821253
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`821401
oretractIfCan`1`n`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`821549
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Fraction(Polynomial(R)),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xIntegerNumberSystem&(S)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Integer,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(_$)->Union(S,"failed")`cRetractableTo(S)``821697
oretract`1`n`(A)->Fraction(Integer)`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Fraction(Integer)`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->Integer`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->Integer`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xDifferentialVariableCategory&(A,S)``0
oretract`1`n`(A)->S`xFullyRetractableTo&(A,S)``0
oretract`1`n`(A)->S`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(A)->S`xRetractableTo&(A,S)``0
oretract`1`n`(A)->Symbol`xQuotientFieldCategory&(A,S)``0
oretract`1`n`(Any)->S`pAnyFunctions1(S)``821847
oretract`1`n`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``822011
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`822177
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`822365
oretract`1`n`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`822553
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`822741
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`822929
oretract`1`n`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`823117
oretract`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Integer)`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Fraction(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Fraction(Integer)`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Fraction(Polynomial(R))`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xComplexCategory&(S,R)``0
oretract`1`n`(S)->Integer`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Integer`xIntegerNumberSystem&(S)``0
oretract`1`n`(S)->Integer`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->Integer`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->Integer`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->Integer`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->Integer`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->Integer`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->Integer`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Kernel(S)`xExpressionSpace&(S)``0
oretract`1`n`(S)->Kernel(S)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Polynomial(R)`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xComplexCategory&(S,R)``0
oretract`1`n`(S)->R`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
oretract`1`n`(S)->R`xOctonionCategory&(S,R)``0
oretract`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(S)->R`xQuaternionCategory&(S,R)``0
oretract`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretract`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->SingletonAsOrderedSet`xUnivariatePolynomialCategory&(S,R)``0
oretract`1`n`(S)->Symbol`xFunctionSpace&(S,R)``0
oretract`1`n`(S)->Symbol`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->ULS`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretract`1`n`(S)->UTS`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretract`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->VarSet`xPolynomialCategory&(S,R,E,VarSet)``0
oretract`1`n`(_$)->S`cRetractableTo(S)``823305
oretractable?`1`n`(Any)->Boolean`pAnyFunctions1(S)``823440
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``823538
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``823644
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``823771
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``823866
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``823961
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``824057
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``824181
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``824305
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``824433
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`cDequeueAggregate(S)``824519
oreverse!`1`n`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`824692
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``824771
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``824881
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``825075
oreverse`1`n`(_$)->_$`cFiniteLinearAggregate(S)``825144
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``825229
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``825448
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``825645
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`n`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`825840
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``826171
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`n`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`826596
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``826905
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`n`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``827507
orhs`1`n`(_$)->F`dRewriteRule(Base,R,F)``828491
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``828562
orhs`1`n`(_$)->S`dEquation(S)``828618
orhs`1`n`(_$)->SpadAst`dCaseAst``828693
orhs`1`n`(_$)->SpadAst`dHasAst``828770
orhs`1`n`(_$)->SpadAst`dIsAst``828847
orhs`1`n`(_$)->SpadAst`dLetAst``828922
orhs`1`n`(_$)->TypeAst`dColonAst``829005
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`829083
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`829197
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`829311
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``829530
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`829695
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``829914
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``830079
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``830349
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``830619
orightAlternative?`0`n`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``830665
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``830879
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``831093
orightDiscriminant`0`n`()->R`cFramedNonAssociativeAlgebra(R)``831253
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``831624
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``831995
orightDivide`2`n`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`832299
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`832496
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`n`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`832739
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`n`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`832847
orightFactorCandidate`2`n`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``832957
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``833011
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`833295
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`833533
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`833732
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``833968
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``834095
orightOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`834195
orightOne`1`n`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`834254
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(_$,NonNegativeInteger)->_$`cMonadWithUnit``834313
orightPower`2`n`(_$,PositiveInteger)->_$`cMonad``834500
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`834687
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`834876
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`834974
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``835215
orightRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``835456
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`n`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`835615
orightRecip`1`n`(_$)->Union(_$,"failed")`cMonadWithUnit``835830
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`n`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``836014
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``836188
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`n`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`836387
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``836577
orightTraceMatrix`0`n`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``836768
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``837056
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``837344
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`n`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``837554
orightTrim`2`n`(_$,Character)->_$`cStringAggregate``837649
orightTrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``837824
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`838020
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`838147
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``838273
orightZero`1`n`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`838398
oright`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``838457
oright`1`n`(_$)->_$`cBinaryRecursiveAggregate(S)``838533
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``838581
oright`1`n`(_$)->_$`dMagma(VarSet)``838739
oright`1`n`(_$)->_$`dOutputForm``838892
oright`2`n`(_$,Integer)->_$`dOutputForm``838961
orischDE`6`n`(Integer,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(ans:F,right:F,sol?:Boolean)`pElementaryRischDE(R,F)``839048
orischDEsys`7`n`(Integer,F,F,F,Symbol,(F,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed"),(F,F)->Union(Record(ratpart:F,coeff:F),"failed"))->Union(List(F),"failed")`pElementaryRischDESystem(R,F)``839413
orischNormalize`2`n`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``839723
ork4`5`n`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``839912
ork4`9`n`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``840555
ork4a`8`n`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``840794
ork4f`6`n`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``841115
ork4qc`14`n`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``841609
ork4qc`7`n`(Vector(Float),Integer,Float,Record(tryValue:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``842094
oroman`1`n`(Integer)->_$`dRomanNumeral``842558
oroman`1`n`(Symbol)->_$`dRomanNumeral``842619
oromberg`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``842687
orombergo`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``843375
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``844057
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``844094
orootDirectory`0`n`()->String`pSystem``844191
orootKerSimp`3`n`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`844298
orootNormalize`2`n`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``844365
orootOfIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``844570
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(Polynomial(_$))->_$`cAlgebraicallyClosedField``844820
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``844944
orootOf`1`n`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``845012
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``845136
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``845250
orootOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``845370
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``845484
orootOf`2`n`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``845582
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`n`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``845695
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``845823
orootPower`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`845994
orootProduct`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`846152
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``846387
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``846602
orootSimp`1`n`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`846725
orootSplit`1`n`(F)->F`pAlgebraicManipulations(R,F)``846957
oroot`1`n`(_$)->_$`dOutputForm``847187
oroot`2`n`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``847262
oroot`2`n`(_$,_$)->_$`dOutputForm``847390
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``847471
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``847711
orootsOf`1`n`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``847895
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``848138
orootsOf`2`n`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``848386
orotate!`1`n`(_$)->_$`cQueueAggregate(S)``848634
orotate`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``848828
orotate`3`n`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``849065
orotatex`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``849421
orotatey`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``849519
orotatez`1`n`(R)->_$`dDenavitHartenbergMatrix(R)``849617
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`849715
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``849889
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`n`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`850007
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`n`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`850251
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`850521
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`n`(_$)->_$`cRealNumberSystem``850663
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``850727
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``850892
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``850999
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``851185
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``851318
orowEchelon`1`n`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`851399
orowEchelon`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`851480
orowEchelon`1`n`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`851561
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``851642
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``851933
orow`2`n`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``852056
orquo`2`n`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``852172
orquo`2`n`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``852287
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``852369
orquo`2`n`(_$,_$)->Union(_$,"failed")`cFreeMonoidCategory(S)``852452
orquo`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)``852645
orquo`2`n`(_$,vl)->_$`cXFreeAlgebra(vl,R)``852727
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``852822
orspace`2`n`(Integer,Integer)->_$`dOutputForm``852913
orst`1`n`(_$)->_$`cLazyStreamAggregate(S)``853006
orubiksGroup`0`n`()->PermutationGroup(Integer)`pPermutationGroupExamples``853196
orule`2`n`(F,F)->_$`dRewriteRule(Base,R,F)``855773
orule`3`n`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``855914
orules`1`n`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``856281
oruleset`1`n`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``856345
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``856421
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``856483
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``857614
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``858095
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``858243
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`858276
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`858411
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`858562
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`858717
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`n`()->_$`cAbelianMonoid``858916
osample`0`n`()->_$`cAggregate``858963
osample`0`n`()->_$`cMonoid``859010
osample`0`n`()->_$`dByte``859057
osample`0`n`()->_$`dCartesianTensor(minix,dim,R)``859113
osample`0`n`()->_$`dInt16``0
osample`0`n`()->_$`dInt32``0
osample`0`n`()->_$`dInt64``0
osample`0`n`()->_$`dInt8``0
osample`0`n`()->_$`dSymbol``859166
osample`0`n`()->_$`dSystemInteger(N)``859212
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``859268
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``859324
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``859434
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``859565
osaturate`2`n`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``859790
osaturate`3`n`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``859935
osayLength`1`n`(List(String))->Integer`pDisplayPackage``860098
osayLength`1`n`(String)->Integer`pDisplayPackage``860189
osay`1`n`(List(String))->Void`pDisplayPackage``860271
osay`1`n`(String)->Void`pDisplayPackage``860336
oscalarMatrix`1`n`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``860392
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`n`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``860515
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``860640
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``860712
oscale`1`n`(F)->_$`dMoebiusTransform(F)``860813
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``860912
oscale`3`n`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``861010
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``861123
oscanOneDimSubspaces`2`n`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`861434
oscan`3`n`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``862112
oscan`3`n`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``862345
oscan`3`n`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``862724
oscan`3`n`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``863010
oscan`3`n`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``863290
oscan`3`n`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``863523
oscan`3`n`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``863802
oscan`3`n`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``864081
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``864242
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``864381
oscopes`1`n`(_$)->List(Scope)`dEnvironment``864641
oscreenResolution3D`0`n`()->Integer`dPlot3D``864718
oscreenResolution`0`n`()->Integer`dPlot``864799
oscreenResolution`0`n`()->Integer`pGraphicsDefaults``864862
oscreenResolution`1`n`(Integer)->Integer`pGraphicsDefaults``864935
oscript`2`n`(_$,List(List(OutputForm)))->_$`dSymbol``865009
oscript`2`n`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``865328
oscripted?`1`n`(_$)->Boolean`dSymbol``865515
oscripts`1`n`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``865597
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``865659
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``865789
osearch`2`n`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``865848
osec2cos`1`n`(F)->F`pTranscendentalManipulations(R,F)``866068
osecIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``866166
osec`1`n`(F)->F`pElementaryFunction(R,F)``866253
osec`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
osec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``866314
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``866381
osec`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``866448
osec`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``866516
osec`1`n`(_$)->_$`cTrigonometricFunctionCategory``866586
osech2cosh`1`n`(F)->F`pTranscendentalManipulations(R,F)``866639
osechIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``866741
osech`1`n`(F)->F`pElementaryFunction(R,F)``866830
osech`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``866903
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``866986
osech`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``867069
osech`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``867149
osech`1`n`(_$)->_$`cHyperbolicFunctionCategory``867231
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``867296
osecond`1`n`(_$)->T`dPair(S,T)``867416
oseed`0`n`()->Integer`pRandomNumberSource``867479
osegment`1`n`(S)->_$`dUniversalSegment(S)``867532
osegment`1`n`(_$)->S`dRangeBinding(S,T)``867614
osegment`1`n`(_$)->Segment(S)`dSegmentBinding(S)``0
osegment`2`n`(S,S)->_$`cSegmentCategory(S)``867801
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`n`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`867883
oselect!`2`n`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``868042
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``868170
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``868440
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``868708
oselect`2`n`((P)->Boolean,S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oselect`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oselect`2`n`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`868932
oselect`2`n`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``869167
oselect`2`n`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``869347
oselect`2`n`(S,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``869411
oselect`2`n`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``869507
oselectfirst`1`n`(_$)->A`dProduct(A,B)``869631
oselectsecond`1`n`(_$)->B`dProduct(A,B)``869674
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``869718
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``869974
osemiGroupOperation`1`n`((T,T)->T)->_$`dSemiGroupOperation(T)``870183
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``870312
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``870592
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``870842
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``871011
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``871222
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`871401
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``871596
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``871869
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``872198
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`n`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``872301
oseparateDegrees`1`n`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``872426
oseparateFactors`1`n`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``872578
oseparateFactors`2`n`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``872744
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`872926
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``872966
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`n`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`873132
osequence`1`n`(_$)->SpadAst`dInAst``873265
osequences`1`n`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``873351
osequences`2`n`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``873523
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``873862
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``874097
oseriesSolve`4`n`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``874195
oseriesSolve`4`n`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``874574
oseriesSolve`4`n`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``874683
oseriesSolve`4`n`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``874790
oseriesSolve`4`n`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``874915
oseriesSolve`4`n`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``875252
oseriesSolve`4`n`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``875424
oseriesSolve`4`n`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``875616
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``875775
oseries`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``875871
oseries`1`n`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``876052
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``876144
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``876574
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``876773
oseries`1`n`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``876972
oseries`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``877171
oseries`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``877232
oseries`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``877314
oseries`2`n`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``877417
oseries`2`n`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``877657
oseries`3`n`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``877967
oseries`3`n`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``878148
oseries`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``878307
oseries`4`n`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``878385
oseries`4`n`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``878605
oseries`5`n`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``878774
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``878986
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``879105
osetClipValue`1`n`(DoubleFloat)->DoubleFloat`pDrawComplex``879218
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``879341
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`n`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``879513
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``879595
osetDifference`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`879757
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``879928
osetEpilogue!`2`n`(_$,List(String))->List(String)`dTexFormat``880005
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``880111
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``880410
osetImagSteps`1`n`(Integer)->Integer`pDrawComplex``880591
osetIntersection`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`880742
osetLength!`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``880921
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``881039
osetMaxPoints`1`n`(Integer)->Integer`dPlot``881128
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``881214
osetMinPoints`1`n`(Integer)->Integer`dPlot``881303
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``881389
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``881554
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``881883
osetPoly`1`n`(P)->P`dModMonic(R,P)``882253
osetPosition`2`n`(_$,NonNegativeInteger)->Void`cCachableSet``882292
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``882369
osetPrologue!`2`n`(_$,List(String))->List(String)`dTexFormat``882474
osetProperties`2`n`(_$,AssociationList(String,None))->_$`dBasicOperator``882580
osetProperty`3`n`(_$,Identifier,None)->_$`dBasicOperator``882744
osetProperty`3`n`(_$,String,None)->_$`dBasicOperator``882935
osetRealSteps`1`n`(Integer)->Integer`pDrawComplex``883126
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``883272
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``883348
osetScreenResolution`1`n`(Integer)->Integer`dPlot``883442
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``883518
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``883674
osetTex!`2`n`(_$,List(String))->List(String)`dTexFormat``884020
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``884116
osetUnion`2`n`(_$,_$)->_$`dList(S)`has(S,SetCategory)`884239
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``884407
osetVariableOrder`1`n`(List(Symbol))->Void`pUserDefinedVariableOrdering``884561
osetVariableOrder`2`n`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``884696
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`n`()->_$`cSetAggregate(S)``884872
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`n`(List(S))->_$`cSetAggregate(S)``884951
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`n`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885061
osetelt`3`n`(A,"first",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"first",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"last",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"left",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"rest",A)->A`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"right",A)->A`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xBinaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,"value",S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xOneDimensionalArrayAggregate&(A,S)``0
osetelt`3`n`(A,UniversalSegment(Integer),S)->S`xStreamAggregate&(A,S)``0
osetelt`3`n`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885193
osetelt`3`n`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885335
osetelt`3`n`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885474
osetelt`3`n`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885600
osetelt`3`n`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885739
osetelt`3`n`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`885875
osetelt`3`n`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`886003
osetelt`3`n`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``886192
osetelt`3`n`(_$,Symbol,Any)->Any`dLibrary``886352
osetelt`3`n`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`886479
osetelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(S,List(Integer),List(Integer),S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetelt`4`n`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``886859
osetelt`4`n`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``887031
osetfirst!`2`n`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`887333
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`n`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`887420
osetleaves!`2`n`(_$,List(S))->_$`dBalancedBinaryTree(S)``887512
osetleft!`2`n`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`887618
osetnext!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`887695
osetprevious!`2`n`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`887827
osetref`2`n`(_$,S)->S`dReference(S)``887967
osetrest!`2`n`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`888043
osetrest!`3`n`(_$,Integer,_$)->_$`dStream(S)``888127
osetright!`2`n`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`888247
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`n`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``888325
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`n`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`888529
osh`2`n`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`888603
osh`2`n`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`888680
oshade`1`n`(Point(R))->R`pPointPackage(R)``888807
oshade`1`n`(_$)->Integer`dPalette``889136
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``889218
oshallowExpand`1`n`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``889261
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``889308
oshape`1`n`(_$)->Partition`dYoungDiagram``889576
oshellSort`2`n`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``889638
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``889761
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`n`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``889823
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``889906
oshift`1`n`(F)->_$`dMoebiusTransform(F)``890020
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``890119
oshift`2`n`(_$,Integer)->_$`dFloat``890217
oshift`2`n`(_$,Integer)->_$`dNonNegativeInteger``890291
oshift`2`n`(_$,_$)->_$`cIntegerNumberSystem``890349
oshowAll?`0`n`()->Boolean`dStream(S)`has(S,SetCategory)`890409
oshowAllElements`1`n`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`890508
oshowClipRegion`2`n`(_$,String)->Void`dThreeDimensionalViewport``890602
oshowRegion`2`n`(_$,String)->Void`dThreeDimensionalViewport``890854
oshowSummary`1`n`(_$)->Void`dDomain``891096
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``891185
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``891254
oshrinkable`1`n`(Boolean)->Boolean`dFlexibleArray(S)``0
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``891501
oshuffle`2`n`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``891621
oshufflein`2`n`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``891830
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``891978
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``892024
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``892070
osign`1`n`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``892118
osign`1`n`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``892199
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``892279
osign`1`n`(S)->Integer`xOrderedAbelianGroup&(S)``0
osign`1`n`(_$)->Integer`cOrderedAbelianGroup``892315
osign`1`n`(_$)->Integer`dPermutation(S)``892437
osign`2`n`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``892533
osign`3`n`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``892625
osign`3`n`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``892751
osign`4`n`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``892882
osign`4`n`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``893038
osignatureAst`2`n`(Identifier,Signature)->_$`dSignatureAst``893258
osignature`1`n`(_$)->Signature`dDefinitionAst``893341
osignature`1`n`(_$)->Signature`dFunctionDescriptor``893530
osignature`1`n`(_$)->Signature`dOperatorSignature``893614
osignature`1`n`(_$)->Signature`dSignatureAst``893671
osignature`2`n`(List(Syntax),Syntax)->_$`dSignature``893745
osimplifyExp`1`n`(F)->F`pTranscendentalManipulations(R,F)``893879
osimplifyLog`1`n`(F)->F`pTranscendentalManipulations(R,F)``893996
osimplifyPower`2`n`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`894207
osimplify`1`n`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``894266
osimplify`1`n`(F)->F`pTranscendentalManipulations(R,F)``894330
osimplify`1`n`(PropositionalFormula(T))->PropositionalFormula(T)`pPropositionalFormulaFunctions1(T)``894807
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`894928
osimpson`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``895232
osimpsono`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``895910
osin2csc`1`n`(F)->F`pTranscendentalManipulations(R,F)``896592
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``896690
osinIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``896775
osin`1`n`(E)->_$`dFourierComponent(E)``896862
osin`1`n`(F)->F`pElementaryFunction(R,F)``896928
osin`1`n`(S)->S`xComplexCategory&(S,R)``0
osin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``896987
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``897052
osin`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``897117
osin`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``897183
osin`1`n`(_$)->_$`cTrigonometricFunctionCategory``897251
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``897302
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``897404
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``897847
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``898396
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``898577
osingular?`1`n`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``898823
osingular?`1`n`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``898890
osingularAtInfinity?`0`n`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``898960
osinh2csch`1`n`(F)->F`pTranscendentalManipulations(R,F)``899041
osinhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``899143
osinh`1`n`(F)->F`pElementaryFunction(R,F)``899232
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``899303
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``899384
osinh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``899465
osinh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``899543
osinh`1`n`(_$)->_$`cHyperbolicFunctionCategory``899623
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``899686
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(_$,NonNegativeInteger)->Boolean`cStreamAggregate(S)``899801
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`n`(_$,_$)->Boolean`cEuclideanDomain``899875
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``900027
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``900207
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``900387
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``900567
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``900670
osize`0`n`()->Integer`pRandomNumberSource``900766
osize`0`n`()->NonNegativeInteger`cFinite``900830
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`1`n`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``900894
osize`1`n`(_$)->NonNegativeInteger`cFreeMonoidCategory(S)``901049
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``901116
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``901183
osize`1`n`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``901255
oskewSFunction`2`n`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``901297
oslash`2`n`(_$,_$)->_$`dOutputForm``901485
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``901580
osmith`1`n`(M)->M`pSmithNormalForm(R,Row,Col,M)``901774
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``901851
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``901940
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``901986
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``902024
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``902063
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``902332
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``902482
osolveInField`3`n`(Matrix(LO),Vector(F),(LO,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pSystemODESolver(F,LO)``902627
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``903038
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``903274
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``903678
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``904082
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``904327
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``904615
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xComplexCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xPolynomialFactorizationExplicit&(S)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`xUnivariatePolynomialCategory&(S,R)``0
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(_$)),SparseUnivariatePolynomial(_$))->Union(List(SparseUnivariatePolynomial(_$)),"failed")`cPolynomialFactorizationExplicit``904860
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`905105
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`905291
osolveLinearlyOverQ`2`n`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``905455
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``905631
osolve`1`n`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``905884
osolve`1`n`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``906094
osolve`1`n`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``906224
osolve`1`n`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``906423
osolve`1`n`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``906560
osolve`1`n`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``906713
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``906853
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``907033
osolve`2`n`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``907070
osolve`2`n`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``907252
osolve`2`n`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``907461
osolve`2`n`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``907572
osolve`2`n`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``907750
osolve`2`n`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``907969
osolve`2`n`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``908105
osolve`2`n`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``908244
osolve`2`n`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``908446
osolve`2`n`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``908597
osolve`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``908816
osolve`2`n`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``908954
osolve`2`n`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``909160
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``909305
osolve`2`n`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``909480
osolve`2`n`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``909625
osolve`2`n`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``909831
osolve`2`n`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``910037
osolve`2`n`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``910154
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``910299
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``910420
osolve`3`n`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``910540
osolve`3`n`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``911324
osolve`3`n`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``912061
osolve`3`n`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``912624
osolve`3`n`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``913024
osolve`3`n`(Matrix(F),Vector(F),(LO,F)->Union(Record(particular:F,basis:List(F)),"failed"))->Union(Record(particular:Vector(F),basis:Matrix(F)),"failed")`pSystemODESolver(F,LO)``913424
osolve`3`n`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``913836
osolve`4`n`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``914150
osolve`4`n`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``914423
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``914696
osolve`5`n`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``914931
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``915158
osomeBasis`0`n`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``915338
osort!`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`n`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,ATTRIBUTE(shallowlyMutable)),has(S,OrderedSet))`915400
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`915478
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`n`(List(_$))->List(_$)`dPermutation(S)``915559
osort`1`n`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`915843
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``915971
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`n`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``916071
osorted?`1`n`(A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`n`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`916298
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``916381
osource`1`n`(_$)->List(Syntax)`dSignature``916470
osource`1`n`(_$)->List(TypeAst)`dMappingAst``916538
ospace`0`n`()->_$`dCharacter``916606
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``916656
ospace`1`n`(ThreeSpace(DoubleFloat))->_$`dDrawOption``916849
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``916960
ospherical`1`n`(Point(R))->Point(R)`pCoordinateSystems(R)``917024
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`n`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`917286
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``917551
osplitDenominator`1`n`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``917674
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``917835
osplitDenominator`1`n`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``917996
osplitDenominator`1`n`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``918144
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``918296
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``918498
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``918795
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``919109
osplit`1`n`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``919441
osplit`1`n`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``919617
osplit`1`n`(UP)->Factored(UP)`pAlgFactor(UP)``919793
osplit`2`n`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`919884
osplit`2`n`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`920695
osplit`2`n`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``920854
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``921012
osplit`2`n`(_$,Character)->List(_$)`cStringAggregate``921274
osplit`2`n`(_$,CharacterClass)->List(_$)`cStringAggregate``921361
osqfrFactor`2`n`(R,Integer)->_$`dFactored(R)``921454
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``921606
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Fraction(Integer))->_$`cRealClosedField``921685
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->_$`cRealClosedField``921744
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`cRadicalCategory``921803
osqrt`1`n`(_$)->_$`cRealClosedField``921862
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`n`(_$,Integer)->_$`cPAdicIntegerCategory(p)``921921
osqrt`2`n`(_$,PositiveInteger)->_$`cRealClosedField``922043
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``922113
osquare?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``922288
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`922463
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``922580
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``923001
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`n`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`923172
osquareFreePart`1`n`(_$)->_$`cUniqueFactorizationDomain``923308
osquareFreePart`2`n`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``923421
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``923941
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`924056
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``924110
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``924229
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``924315
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``924421
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``924599
osquareFree`1`n`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924789
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``925132
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``925385
osquareFree`1`n`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`925559
osquareFree`1`n`(_$)->Factored(_$)`cUniqueFactorizationDomain``925653
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``925838
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``925957
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``926130
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``926264
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``926398
ostack`1`n`(List(S))->_$`dStack(S)``926531
ostandardBasisOfCyclicSubmodule`2`n`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`926676
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``927350
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``927790
ostartTable!`3`n`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``927924
ostartTable!`3`n`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``928050
ostartTableGcd!`3`n`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``928176
ostartTableGcd!`3`n`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`n`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``928302
ostartTableInvSet!`3`n`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``928431
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``928504
ostep`1`n`(_$)->SpadAst`dStepAst``928646
ostirling1`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``928775
ostirling2`2`n`(I,I)->I`pIntegerCombinatoricFunctions(I)``928873
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``928973
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``929247
ostopTable!`0`n`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``929542
ostopTable!`0`n`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``929634
ostopTableGcd!`0`n`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``929726
ostopTableGcd!`0`n`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`n`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``929818
ostopTableInvSet!`0`n`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseIntegralLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`n`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`n`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`n`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`n`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`n`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`n`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``929913
ostring`1`n`(DoubleFloat)->_$`dString``929995
ostring`1`n`(Identifier)->_$`dString``930077
ostring`1`n`(Integer)->_$`dString``930158
ostring`1`n`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``930240
ostring`1`n`(_$)->String`dSymbol``930363
ostring`1`n`(_$)->_$`dOutputForm``930466
ostrongGenerators`1`n`(_$)->List(Permutation(S))`dPermutationGroup(S)``930527
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`n`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``930612
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`n`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``930898
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`n`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``931060
ostructuralConstants`0`n`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``931199
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``931447
ostructuralConstants`1`n`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``931695
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``931986
ostructuralConstants`2`n`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``932243
ostructuralConstants`2`n`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``932683
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``933123
osturmSequence`1`n`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``933171
osturmVariationsOf`1`n`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`933245
ostyle`1`n`(String)->_$`dDrawOption``933398
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``933574
osubCase?`2`n`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``933776
osubCase?`2`n`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``933890
osubHeight`1`n`(_$)->Integer`dOutputForm``934004
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`n`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``934088
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``934285
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``934479
osubPolSet?`2`n`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``934708
osubPolSet?`2`n`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``934838
osubQuasiComponent?`2`n`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``934968
osubQuasiComponent?`2`n`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``935111
osubQuasiComponent?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``935254
osubQuasiComponent?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``935405
osubResultantChain`2`n`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`935565
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``935777
osubResultantGcd`2`n`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`936035
osubResultantGcd`2`n`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`936408
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``936539
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`936676
osubSet`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``936835
osubTriSet?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``937158
osubTriSet?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``937256
osub`2`n`(_$,_$)->_$`dOutputForm``937354
osubmod`3`n`(_$,_$,_$)->_$`cIntegerNumberSystem``937430
osubresultantSequence`2`n`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``937506
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``937621
osubscript`2`n`(_$,List(OutputForm))->_$`dSymbol``937807
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`n`(_$,_$)->Boolean`cSetAggregate(S)``937899
osubspace`0`n`()->_$`dSubSpace(n,R)``938097
osubspace`1`n`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``938136
osubspace`1`n`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``938274
osubspace`2`n`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``938458
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(_$,Equation(_$))->_$`cExpressionSpace``938668
osubst`2`n`(_$,List(Equation(_$)))->_$`cExpressionSpace``938761
osubst`2`n`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`938895
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``939018
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``939154
osubstring?`3`n`(_$,_$,Integer)->Boolean`cStringAggregate``939245
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`n`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``939433
osuchThat`2`n`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``939557
osuchThat`2`n`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``939663
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``939819
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``939939
osuchThat`2`n`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``940085
osuchThat`2`n`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``940156
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``940276
osuchThat`3`n`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``940402
osuffix?`2`n`(_$,_$)->Boolean`cStringAggregate``940533
osumOfDivisors`1`n`(Integer)->Integer`pIntegerNumberTheoryFunctions``940873
osumOfKthPowerDivisors`2`n`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``941067
osumSquares`1`n`(Integer)->List(Integer)`pGaussianFactorizationPackage``941323
osum`1`n`(_$)->_$`dOutputForm``941559
osum`2`n`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``941642
osum`2`n`(F,Symbol)->F`pFunctionSpaceSum(R,F)``941747
osum`2`n`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``941847
osum`2`n`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``941922
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``942102
osum`2`n`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``942282
osum`2`n`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``942357
osum`2`n`(_$,_$)->_$`dOutputForm``942537
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``942656
osum`3`n`(_$,_$,_$)->_$`dOutputForm``942733
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``942890
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``942994
osummation`2`n`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``943148
osummation`2`n`(_$,Symbol)->_$`cCombinatorialOpsCategory``943252
osupDimElseRittWu?`2`n`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``943406
osupDimElseRittWu?`2`n`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``943622
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`n`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``943838
osup`1`n`(_$)->R`cIntervalCategory(R)``944038
osup`2`n`(_$,_$)->_$`cOrderedAbelianMonoidSup``944101
osuperHeight`1`n`(_$)->Integer`dOutputForm``944207
osuper`2`n`(_$,_$)->_$`dOutputForm``944293
osuperscript`2`n`(_$,List(OutputForm))->_$`dSymbol``944373
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``944469
osupport`1`n`(_$)->Set(S)`cPermutationCategory(S)``944592
osupport`1`n`(_$)->Set(S)`dPermutationGroup(S)``944681
osurface`3`n`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``944755
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`n`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`944884
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`n`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``945011
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`n`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``945147
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``945277
oswap`1`n`(_$)->_$`dEquation(S)``945343
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``945427
osylvesterSequence`2`n`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``945538
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``945685
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``945865
osymbol?`1`n`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``945988
osymbol?`1`n`(_$)->Boolean`dPattern(R)``946070
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``946126
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``946242
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``946314
osymbol`1`n`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``946397
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`n`(_$)->Boolean`cMatrixCategory(R,Row,Col)``946520
osymmetric?`1`n`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``946716
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`n`(_$,_$)->_$`cSetAggregate(S)``946912
osymmetricGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``947344
osymmetricGroup`1`n`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``947579
osymmetricPower`2`n`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`947774
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``947959
osymmetricProduct`2`n`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`948181
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``948386
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`n`(_$,_$)->_$`cIntegerNumberSystem``948628
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`n`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`948735
osymmetricTensors`2`n`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``948837
osymmetricTensors`2`n`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``949401
osystemCommand`1`n`(String)->Void`pMoreSystemCommands``949932
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``950150
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``950240
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``950329
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``950488
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``950521
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``950593
otableForDiscreteLogarithm`1`n`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``950799
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``951105
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`n`()->_$`cTableAggregate(Key,Entry)``951412
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``951485
otableau`1`n`(List(List(S)))->_$`dTableau(S)``951602
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`n`(_$)->_$`cDoublyLinkedAggregate(S)``951677
otail`1`n`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``951805
otail`1`n`(_$)->_$`cUnaryRecursiveAggregate(S)``951941
otan2cot`1`n`(F)->F`pTranscendentalManipulations(R,F)``952121
otan2trig`1`n`(F)->F`pTranscendentalManipulations(R,F)``952219
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``952323
otanIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``952429
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``952516
otanQ`2`n`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``952624
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``952703
otan`1`n`(F)->F`pElementaryFunction(R,F)``952845
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``952907
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``952975
otan`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``953043
otan`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``953112
otan`1`n`(_$)->_$`cTrigonometricFunctionCategory``953183
otanh2coth`1`n`(F)->F`pTranscendentalManipulations(R,F)``953237
otanh2trigh`1`n`(F)->F`pTranscendentalManipulations(R,F)``953339
otanhIfCan`1`n`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``953448
otanh`1`n`(F)->F`pElementaryFunction(R,F)``953537
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``953611
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``953695
otanh`1`n`(ULS)->ULS`pElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``953779
otanh`1`n`(UPXS)->UPXS`pElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``953860
otanh`1`n`(_$)->_$`cHyperbolicFunctionCategory``953943
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``954009
otarget`1`n`(_$)->Syntax`dSignature``954222
otarget`1`n`(_$)->TypeAst`dCoerceAst``954292
otarget`1`n`(_$)->TypeAst`dMappingAst``954360
otarget`1`n`(_$)->TypeAst`dPretendAst``954421
otarget`1`n`(_$)->TypeAst`dRestrictAst``954489
otaylorIfCan`1`n`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``954557
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``954713
otaylorRep`1`n`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``954810
otaylor`1`n`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``954927
otaylor`1`n`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``955108
otaylor`1`n`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``955176
otaylor`2`n`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``955317
otaylor`2`n`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``955399
otaylor`2`n`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``955509
otaylor`3`n`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``955749
otaylor`3`n`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``955918
otaylor`3`n`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``956082
otaylor`4`n`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``956160
otensorProduct`1`n`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``956323
otensorProduct`1`n`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``956668
otensorProduct`2`n`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``956767
otensorProduct`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``957121
oterms`1`n`(_$)->List(Pair(S,A))`cIndexedDirectProductCategory(A,S)``957403
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``957571
oterms`1`n`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``957731
oterms`1`n`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``957812
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``957994
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``958108
otex`1`n`(_$)->List(String)`dTexFormat``958309
othenBranch`1`n`(_$)->SpadAst`dIfAst``958379
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``958441
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`n`(_$)->S`cUnaryRecursiveAggregate(S)``958717
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``958840
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``959037
otitle`1`n`(String)->_$`dDrawOption``959152
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``959294
otitle`2`n`(_$,String)->Void`dThreeDimensionalViewport``959496
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``959654
otoScale`1`n`(Boolean)->_$`dDrawOption``959808
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``960038
otop!`1`n`(_$)->S`cDequeueAggregate(S)``960244
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``960321
otop`1`n`(_$)->S`cStackAggregate(S)``960509
otoroidal`1`n`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``960687
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``960992
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``961032
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``961072
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``961117
otoseInvertible?`2`n`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``961161
otoseInvertible?`2`n`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``961308
otoseInvertibleSet`2`n`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``961455
otoseLastSubResultant`3`n`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``961606
otoseSquareFreePart`2`n`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``961763
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``961903
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``962007
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``962141
ototalGroebner`2`n`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``962245
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``962506
ototalfract`1`n`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``962686
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``962917
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(_$)->List(Kernel(_$))`cExpressionSpace``962953
otrace2PowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``963058
otraceMatrix`0`n`()->Matrix(R)`cFramedAlgebra(R,UP)``963214
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``963369
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``963524
otracePowMod`3`n`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``963620
otrace`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`1`n`(S)->R`xComplexCategory&(S,R)``0
otrace`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
otrace`1`n`(_$)->F`cFiniteAlgebraicExtensionField(F)``963732
otrace`1`n`(_$)->R`cFiniteRankAlgebra(R,UP)``963876
otrace`1`n`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``963986
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``964123
otrace`2`n`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`964220
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``964509
otranscendenceDegree`0`n`()->NonNegativeInteger`cExtensionField(F)``964557
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`n`(_$)->Boolean`cExtensionField(F)``964685
otranscendentalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`n`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`n`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``964809
otranslate`3`n`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``964847
otranslate`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``964953
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``965173
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(Row)->_$`cMatrixCategory(R,Row,Col)``965637
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`cMatrixCategory(R,Row,Col)``965707
otranspose`1`n`(_$)->_$`dCartesianTensor(minix,dim,R)``965780
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``966021
otranspose`3`n`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``966094
otrapezoidal`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``966370
otrapezoidalo`7`n`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``967066
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``967756
otree`1`n`(List(S))->_$`dTree(S)``968093
otree`1`n`(S)->_$`dTree(S)``968168
otree`2`n`(S,List(_$))->_$`dTree(S)``968246
otriangSolve`1`n`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``968335
otriangSolve`2`n`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``968420
otriangSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``968505
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`969578
otriangularSystems`2`n`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``969775
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``970128
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``970472
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``970638
otrigs`1`n`(F)->F`pComplexTrigonometricManipulations(R,F)``970989
otrigs`1`n`(F)->F`pTrigonometricManipulations(R,F)``971118
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`n`(_$,Character)->_$`cStringAggregate``971247
otrim`2`n`(_$,CharacterClass)->_$`cStringAggregate``971423
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`n`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``971610
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``971714
otrue`0`n`()->_$`cPropositionalLogic``971791
otrunc`2`n`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``971833
otrunc`2`n`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``971952
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`n`(_$)->_$`cRealNumberSystem``972038
otruncate`2`n`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``972127
otruncate`3`n`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``972257
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``972414
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``972560
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``972754
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``973014
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``973264
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``973616
otubePointsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``973965
otubePointsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``974103
otubePoints`1`n`(PositiveInteger)->_$`dDrawOption``974247
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``974464
otubeRadiusDefault`0`n`()->DoubleFloat`pViewDefaultsPackage``974676
otubeRadiusDefault`1`n`(Float)->DoubleFloat`pViewDefaultsPackage``974754
otubeRadius`1`n`(Float)->_$`dDrawOption``974845
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``974991
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``975203
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``975290
otwist`1`n`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``975600
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``975696
otypeForm`1`n`(_$)->InternalTypeForm`dElaboration``976013
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``976090
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``976185
otype`1`n`(_$)->Syntax`dElaboratedExpression``976272
ounary?`1`n`(_$)->Boolean`dBasicOperator``976361
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``976415
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``976466
ounderscore`0`n`()->_$`dCharacter``976680
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``976740
ouniform01`0`n`()->Float`pRandomFloatDistributions``976802
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``976842
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``976881
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``976920
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``976961
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(S,_$)->_$`cSetAggregate(S)``977045
ounion`2`n`(_$,S)->_$`cSetAggregate(S)``977242
ounion`2`n`(_$,_$)->_$`cSetAggregate(S)``977439
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``977566
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`n`(_$)->Boolean`cIntegralDomain``977634
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`n`(_$)->_$`cIntegralDomain``977726
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xComplexCategory&(S,R)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xIntegralDomain&(S)``0
ounitNormal`1`n`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``977797
ounitNormalize`1`n`(_$)->_$`dFactored(R)``978105
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``978306
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``978348
ounitVector`1`n`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`978493
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`n`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`978587
ounit`1`n`(List(Float))->_$`dDrawOption``978699
ounit`1`n`(_$)->R`dFactored(R)``978850
ounitsColorDefault`0`n`()->Palette`pViewDefaultsPackage``978917
ounitsColorDefault`1`n`(Palette)->Palette`pViewDefaultsPackage``979013
ounits`1`n`(_$)->List(Float)`dGraphImage``979131
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``979302
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``979503
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``979780
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``980028
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``980289
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``980403
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``980559
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`980715
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`980899
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``981158
ounivariateSolve`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``981324
ounivariateSolve`1`n`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``981424
ounivariateSolve`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``981590
ounivariateSolve`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``981696
ounivariateSolve`4`n`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``981810
ounivariate`1`n`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``982606
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``982873
ounivariate`2`n`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``982975
ounivariate`2`n`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``983077
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`n`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`983243
ounivariate`2`n`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``983336
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``983540
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``983682
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``983730
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`n`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`983769
ounknownEndian`0`n`()->_$`dByteOrder``983865
ounknown`0`n`()->_$`dKleeneTrivalentLogic``983916
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``983948
ounparse`1`n`(_$)->String`dInputForm``984107
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``984272
ounrankImproperPartitions0`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``984716
ounrankImproperPartitions1`3`n`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``985185
ounravel`1`n`(List(R))->_$`dCartesianTensor(minix,dim,R)``985730
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``985853
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``985980
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``986108
oupDateBranches`5`n`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`n`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``986339
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``986374
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``986409
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``986536
oupperBound`1`n`(_$)->Maybe(SpadAst)`dStepAst``986714
oupperCase!`1`n`(_$)->_$`cStringAggregate``986888
oupperCase?`1`n`(_$)->Boolean`dCharacter``987003
oupperCase`0`n`()->_$`dCharacterClass``987114
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`n`(_$)->_$`cStringAggregate``987238
oupperCase`1`n`(_$)->_$`dCharacter``987319
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``987488
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``987610
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``987800
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``987972
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``988192
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``988327
ovalidExponential`3`n`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``988403
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->Integer`dOrdSetInts``988556
ovalue`1`n`(_$)->SExpression`dProperty``988624
ovalue`1`n`(_$)->S`cRecursiveAggregate(S)``988682
ovalue`1`n`(_$)->String`dQueryEquation``988745
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``988843
ovar1StepsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``988914
ovar1StepsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``989182
ovar1Steps`1`n`(PositiveInteger)->_$`dDrawOption``989441
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``989609
ovar2StepsDefault`0`n`()->PositiveInteger`pViewDefaultsPackage``989819
ovar2StepsDefault`1`n`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``990087
ovar2Steps`1`n`(PositiveInteger)->_$`dDrawOption``990346
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``990515
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``990725
ovarList`1`n`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``990793
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``990884
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``990968
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``991059
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``991150
ovarList`1`n`(_$)->List(vl)`cXFreeAlgebra(vl,R)``991254
ovariable?`1`n`(_$)->Boolean`dElaboratedExpression``991335
ovariable`0`n`()->Symbol`dVariable(sym)``991404
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``991448
ovariable`1`n`(_$)->S`cDifferentialVariableCategory(S)``991521
ovariable`1`n`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``991638
ovariable`1`n`(_$)->Symbol`dQueryEquation``991737
ovariable`1`n`(_$)->Symbol`dRangeBinding(S,T)``991840
ovariable`1`n`(_$)->Symbol`dSegmentBinding(S)``0
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``992029
ovariables`1`n`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``992145
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePolynomialCategory&(S,R)``0
ovariables`1`n`(S)->List(SingletonAsOrderedSet)`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
ovariables`1`n`(S)->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ovariables`1`n`(SparseUnivariatePolynomial(P))->List(OV)`pFactoringUtilities(E,OV,R,P)``992261
ovariables`1`n`(_$)->List(Symbol)`cFunctionSpace(R)``992360
ovariables`1`n`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``992438
ovariables`1`n`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``992536
ovariables`1`n`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``992646
ovariables`1`n`(_$)->List(_$)`dPattern(R)``992783
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``992872
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``993214
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``993329
ovconcat`1`n`(List(_$))->_$`dOutputForm``993415
ovconcat`2`n`(_$,_$)->_$`dOutputForm``993492
ovector`1`n`(List(R))->_$`dVector(R)``993572
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`n`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``993636
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`n`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``993838
overticalTab`0`n`()->_$`dCharacter``994066
oviewDefaults`0`n`()->Void`pViewDefaultsPackage``994117
oviewDeltaXDefault`0`n`()->Float`dThreeDimensionalViewport``994188
oviewDeltaXDefault`1`n`(Float)->Float`dThreeDimensionalViewport``994308
oviewDeltaYDefault`0`n`()->Float`dThreeDimensionalViewport``994465
oviewDeltaYDefault`1`n`(Float)->Float`dThreeDimensionalViewport``994583
oviewPhiDefault`0`n`()->Float`dThreeDimensionalViewport``994738
oviewPhiDefault`1`n`(Float)->Float`dThreeDimensionalViewport``994832
oviewPosDefault`0`n`()->List(NonNegativeInteger)`pViewDefaultsPackage``994967
oviewPosDefault`1`n`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``995175
oviewSizeDefault`0`n`()->List(PositiveInteger)`pViewDefaultsPackage``995405
oviewSizeDefault`1`n`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``995484
oviewThetaDefault`0`n`()->Float`dThreeDimensionalViewport``995589
oviewThetaDefault`1`n`(Float)->Float`dThreeDimensionalViewport``995686
oviewWriteAvailable`0`n`()->List(String)`pViewDefaultsPackage``995824
oviewWriteDefault`0`n`()->List(String)`pViewDefaultsPackage``995947
oviewWriteDefault`1`n`(List(String))->List(String)`pViewDefaultsPackage``996079
oviewZoomDefault`0`n`()->Float`dThreeDimensionalViewport``996245
oviewZoomDefault`1`n`(Float)->Float`dThreeDimensionalViewport``996326
oviewpoint`1`n`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``996438
oviewpoint`1`n`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``996704
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``997073
oviewpoint`2`n`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``997295
oviewpoint`3`n`(_$,Float,Float)->Void`dThreeDimensionalViewport``997552
oviewpoint`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``997902
oviewpoint`6`n`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``998299
oviewpoint`6`n`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``998794
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``999289
oviewport3D`0`n`()->_$`dThreeDimensionalViewport``999436
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``999587
ovoidMode`0`n`()->_$`dInternalTypeForm``999629
ovoid`0`n`()->_$`dVoid``999686
ovspace`1`n`(Integer)->_$`dOutputForm``999731
oweakBiRank`1`n`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``999795
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``999964
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1000238
oweight`1`n`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1000370
oweight`1`n`(_$)->NonNegativeInteger`dBasicOperator``1000441
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`n`(_$,NonNegativeInteger)->_$`dBasicOperator``1000508
oweight`2`n`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1000579
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1000816
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`n`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1000856
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`n`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1000980
owhatInfinity`1`n`(_$)->SingleInteger`dOrderedCompletion(R)``1001213
owhitePoint`0`n`()->_$`cRGBColorSpace(T)``1001348
owholePart`1`n`(_$)->Integer`cRealNumberSystem``1001429
owholePart`1`n`(_$)->R`dContinuedFraction(R)``1001493
owholePart`1`n`(_$)->R`dPartialFraction(R)``1001680
owholePart`1`n`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1001765
owholeRadix`1`n`(List(Integer))->_$`dRadixExpansion(bb)``1001918
owholeRagits`1`n`(_$)->List(Integer)`dRadixExpansion(bb)``1002071
owidth`0`n`()->Integer`dOutputForm``1002162
owidth`1`n`(_$)->Integer`dOutputForm``1002236
owidth`1`n`(_$)->R`cIntervalCategory(R)``1002308
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1002378
owordInGenerators`2`n`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1002534
owordInStrongGenerators`2`n`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1002738
owordsForStrongGenerators`1`n`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1002952
owreath`2`n`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1003174
owritable?`1`n`(_$)->Boolean`cFileNameCategory``1003338
owrite!`2`n`(_$,S)->S`cFileCategory(Name,S)``1003451
owriteByte!`2`n`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``1003627
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`n`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``1003787
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`n`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``1003916
owriteLine!`1`n`(_$)->String`dTextFile``1004084
owriteLine!`2`n`(_$,String)->String`dTextFile``1004261
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`n`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``1004421
owrite`2`n`(_$,String)->String`dThreeDimensionalViewport``1004599
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1004838
owrite`3`n`(_$,String,List(String))->String`dThreeDimensionalViewport``1005074
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1005376
owrite`3`n`(_$,String,String)->String`dThreeDimensionalViewport``1005675
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1005951
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1006224
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1006358
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1006498
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1006618
oxRange`1`n`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1006872
oxRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1006979
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1007086
oxor`2`n`(_$,_$)->_$`cBitAggregate``1007144
oxor`2`n`(_$,_$)->_$`dBoolean``1007256
oxor`2`n`(_$,_$)->_$`dSingleInteger``1007352
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1007462
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`n`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1007717
oyRange`1`n`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1007835
oyRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1007942
oyellow`0`n`()->_$`dColor``1008049
oyoungDiagram`1`n`(List(PositiveInteger))->_$`dYoungDiagram``1008128
oyoungGroup`1`n`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1008254
oyoungGroup`1`n`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1008375
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1008512
ozRange`1`n`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1008783
ozag`2`n`(_$,_$)->_$`dOutputForm``1008890
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(_$)->Boolean`cAbelianMonoid``1008988
ozero?`1`n`(_$)->Boolean`dArity``1009044
ozero?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1009118
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`n`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1009192
ozeroDim?`1`n`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1009291
ozeroDim?`2`n`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1009508
ozeroDimPrimary?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1009676
ozeroDimPrime?`1`n`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1009763
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1009848
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1010020
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1010199
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1010430
ozeroOf`1`n`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1010605
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1010836
ozeroOf`2`n`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1011042
ozeroSetSplitIntoTriangularSystems`1`n`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1011257
ozeroSetSplit`1`n`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1011593
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1011793
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1012145
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1012519
ozeroSetSplit`2`n`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1012660
ozeroSetSplit`3`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1013174
ozeroSetSplit`3`n`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1013683
ozeroSetSplit`3`n`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1014009
ozeroSetSplit`5`n`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1014379
ozeroSetSplit`5`n`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1014518
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`n`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1014657
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1014721
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1014790
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1015129
ozerosOf`1`n`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1015412
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1015692
ozerosOf`2`n`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1016006
ozoom`2`n`(_$,Float)->Void`dThreeDimensionalViewport``1016320
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1016478
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1016516
ozoom`4`n`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1016556
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1016844
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->Boolean`cBasicType``1016886
o~=`2`n`(_$,_$)->_$`dOutputForm``1016951
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`cLogic``1017007
pAlgFactor`1`n`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1017070
pAlgebraPackage`2`n`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1017166
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1017250
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1017324
pAlgebraicIntegrate`5`n`(R0:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1017359
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1017448
pAlgebraicManipulations`2`n`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1017562
pAlgebraicMultFact`3`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1017677
pAnyFunctions1`1`n`(Type)->etc`(S)`ANY1`1017888
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1018098
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1018185
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1018313
pAttachPredicates`1`n`(Type)->etc`(D)`PMPRED`1018437
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1018555
pBasicOperatorFunctions1`1`n`(SetCategory)->etc`(A)`BOP1`1018624
pBezoutMatrix`5`n`(R:Ring,UP:UnivariatePolynomialCategory(R),M:MatrixCategory(R,Row,Col),FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(R,UP,M,Row,Col)`BEZOUT`1018761
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1018877
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1018991
pCRApackage`1`n`(EuclideanDomain)->etc`(R)`CRAPACK`1019596
pCartesianTensorFunctions2`4`n`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1019632
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1019739
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1019803
pCharacteristicPolynomialPackage`1`n`(CommutativeRing)->etc`(R)`CHARPOL`1019900
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1020005
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1020451
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1020540
pCommonDenominator`3`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1020605
pCommonOperators`0`n`()->etc``COMMONOP`1020769
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1020975
pCompilerPackage`0`n`()->Join(Type,etc)``COMPILER`1021091
pComplexFactorization`2`n`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1021139
pComplexFunctions2`2`n`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1021371
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1021468
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1021594
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1021671
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1021743
pComplexRootPackage`2`n`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1022513
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1022647
pCoordinateSystems`1`n`(Join(Field,etc))->etc`(R)`COORDSYS`1022735
pCycleIndicators`0`n`()->etc``CYCLES`1022993
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1023030
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1023098
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1023134
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1023275
pDiophantineSolutionPackage`0`n`()->etc``DIOSP`1023311
pDirectProductFunctions2`3`n`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1024044
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1024362
pDisplayPackage`0`n`()->etc``DISPLAY`1024482
pDistinctDegreeFactorize`2`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1024587
pDoubleFloatSpecialFunctions`0`n`()->etc``DFSFUN`1024880
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1024981
pDrawComplex`0`n`()->etc``DRAWCX`0
pDrawNumericHack`1`n`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1025084
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1025502
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1025538
pEigenPackage`1`n`(GcdDomain)->etc`(R)`EP`1025574
pElementaryFunctionDefiniteIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1025928
pElementaryFunctionLODESolver`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1026058
pElementaryFunctionODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1026238
pElementaryFunctionSign`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1026410
pElementaryFunctionStructurePackage`2`n`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1026525
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1026818
pElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`1026880
pElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`1027301
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1027722
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1027885
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1028091
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1028299
pEquationFunctions2`2`n`(Type,R:Type)->etc`(S,R)`EQ2`1028376
pErrorFunctions`0`n`()->etc``ERROR`1028452
pEuclideanGroebnerBasisPackage`4`n`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1030433
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1031308
pExpressionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1031481
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1031577
pExpressionSpaceFunctions2`2`n`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1031758
pExpressionSpaceODESolver`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1032045
pExpressionToUnivariatePowerSeries`2`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1032095
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1032185
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1032397
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1032702
pFactoredFunctions2`2`n`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1032815
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1033089
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1033146
pFindOrderFinite`4`n`(F:Join(Finite,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`FORDER`1033308
pFiniteDivisorFunctions2`8`n`(R1:Field,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:Field,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FDIV2`1033453
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1033580
pFiniteFieldHomomorphisms`3`n`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1033749
pFiniteFieldPolynomialPackage2`2`n`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1033983
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1034252
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1034419
pFiniteLinearAggregateFunctions2`4`n`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1034520
pFiniteLinearAggregateSort`2`n`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1034832
pFiniteSetAggregateFunctions2`4`n`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1034921
pFloatingComplexPackage`1`n`(Join(Field,etc))->etc`(Par)`FLOATCP`1035225
pFloatingRealPackage`1`n`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1035584
pFractionFunctions2`2`n`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1035904
pFractionalIdealFunctions2`8`n`(R1:EuclideanDomain,F1:QuotientFieldCategory(R1),U1:UnivariatePolynomialCategory(F1),A1:Join(FramedAlgebra(F1,U1),etc),R2:EuclideanDomain,F2:QuotientFieldCategory(R2),U2:UnivariatePolynomialCategory(F2),A2:Join(FramedAlgebra(F2,U2),etc))->etc`(R1,F1,U1,A1,R2,F2,U2,A2)`FRIDEAL2`1036065
pFramedNonAssociativeAlgebraFunctions2`4`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1036248
pFunctionFieldCategoryFunctions2`8`n`(R1:UniqueFactorizationDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),F1:FunctionFieldCategory(R1,UP1,UPUP1),R2:UniqueFactorizationDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)),F2:FunctionFieldCategory(R2,UP2,UPUP2))->etc`(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)`FFCAT2`1036515
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1036575
pFunctionSpaceAssertions`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1036978
pFunctionSpaceAttachPredicates`3`n`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1037096
pFunctionSpaceComplexIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1037214
pFunctionSpaceFunctions2`4`n`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1037343
pFunctionSpaceIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1037498
pFunctionSpacePrimitiveElement`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1037617
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1037725
pFunctionSpaceSum`2`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1037930
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1037977
pFunctionSpaceToUnivariatePowerSeries`6`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:OrderedRing,UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,x)`FS2UPS`1038068
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1038493
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1038681
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1038745
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1038853
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1038934
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1039140
pGaussianFactorizationPackage`0`n`()->etc``GAUSSFAC`1039214
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1039284
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1039865
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1040084
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1040222
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1040298
pGenerateUnivariatePowerSeries`2`n`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1040461
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1040610
pGosperSummationMethod`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),Q:Join(RetractableTo(Fraction(Integer)),etc))->etc`(E,V,R,P,Q)`GOSPER`1040982
pGraphicsDefaults`0`n`()->etc``GRDEF`1041019
pGrayCode`0`n`()->etc``GRAY`1041113
pGroebnerFactorizationPackage`4`n`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1041254
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1042309
pGroebnerPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1042463
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1043518
pHallBasis`0`n`()->etc``HB`1043796
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1044356
pIdealDecompositionPackage`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1044504
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1044814
pInfiniteProductCharacteristicZero`2`n`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1044888
pInfiniteProductFiniteField`4`n`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1045008
pInfiniteProductPrimeField`2`n`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1045115
pInfiniteTupleFunctions2`2`n`(Type,B:Type)->Join(Type,etc)`(A,B)`ITFUN2`1045219
pInfiniteTupleFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1045281
pInfinity`0`n`()->etc``INFINITY`1045343
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1045454
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1045587
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1045756
pInnerMatrixQuotientFieldFunctions`8`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col),QF:QuotientFieldCategory(R),Row2:FiniteLinearAggregate(QF),Col2:FiniteLinearAggregate(QF),M2:MatrixCategory(QF,Row2,Col2))->etc`(R,Row,Col,M,QF,Row2,Col2,M2)`IMATQF`1045916
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`0
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1046180
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1046450
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1046590
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1046761
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1047361
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1047426
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1047467
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1047644
pIntegerBits`0`n`()->etc``INTBIT`1047687
pIntegerCombinatoricFunctions`1`n`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1047753
pIntegerLinearDependence`1`n`(Join(Ring,etc))->etc`(R)`ZLINDEP`1048125
pIntegerNumberTheoryFunctions`0`n`()->etc``INTHEORY`1048178
pIntegerPrimesPackage`1`n`(IntegerNumberSystem)->etc`(I)`PRIMES`1048259
pIntegerRetractions`1`n`(RetractableTo(Integer))->etc`(S)`INTRET`1048459
pIntegerRoots`1`n`(IntegerNumberSystem)->etc`(I)`IROOT`1048574
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1048699
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1048881
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1049047
pIntegrationResultFunctions2`2`n`(Field,F:Field)->etc`(E,F)`IR2`1049164
pIntegrationResultRFToFunction`1`n`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1049330
pIntegrationResultToFunction`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1049637
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1049839
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1050018
pInternalRationalUnivariateRepresentationPackage`5`n`(R:Join(EuclideanDomain,etc),E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`IRURPK`1050091
pInverseLaplaceTransform`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1050641
pIrrRepSymNatPackage`0`n`()->etc``IRSN`1050701
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1051259
pKernelFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1051403
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1051467
pLaplaceTransform`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1051619
pLazardSetSolvingPackage`6`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),RegularTriangularSetCategory(R,E,V,P),ST:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS,ST)`LAZM3PK`1051679
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1052551
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1052689
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1053555
pLinearDependence`2`n`(S:IntegralDomain,R:Join(Ring,etc))->etc`(S,R)`LINDEP`1053786
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1053821
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1053992
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1054126
pLinearSystemMatrixPackage1`1`n`(Field)->etc`(F)`LSMP1`1054382
pLinearSystemMatrixPackage`4`n`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1054667
pLinearSystemPolynomialPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1054742
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1054836
pListFunctions2`2`n`(Type,B:Type)->etc`(A,B)`LIST2`1054912
pListFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1055060
pListToMap`2`n`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1055210
pMPolyCatFunctions2`7`n`(VarSet:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,S:Ring,PR:PolynomialCategory(R,E1,VarSet),PS:PolynomialCategory(S,E2,VarSet))->etc`(VarSet,E1,E2,R,S,PR,PS)`MPC2`1055627
pMPolyCatFunctions3`7`n`(Vars1:OrderedSet,Vars2:OrderedSet,E1:OrderedAbelianMonoidSup,E2:OrderedAbelianMonoidSup,R:Ring,PR1:PolynomialCategory(R,E1,Vars1),PR2:PolynomialCategory(R,E2,Vars2))->etc`(Vars1,Vars2,E1,E2,R,PR1,PR2)`MPC3`1055753
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1055787
pMPolyCatRationalFunctionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1056172
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1056563
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1056799
pMakeFloatCompiledFunction`1`n`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1056860
pMakeFunction`1`n`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1057088
pMakeRecord`2`n`(Type,T:Type)->etc`(S,T)`MKRECORD`1057152
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1057288
pMappingPackage1`1`n`(SetCategory)->etc`(A)`MAPPKG1`1057349
pMappingPackage2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1057385
pMappingPackage3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1057421
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1057457
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1057493
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1057529
pMatrixCategoryFunctions2`8`n`(R1:Ring,Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Ring,Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1057565
pMatrixCommonDenominator`2`n`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1057718
pMatrixLinearAlgebraFunctions`4`n`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1057871
pMergeThing`1`n`(OrderedSet)->etc`(S)`MTHING`1057978
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1058030
pModularDistinctDegreeFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1058190
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1058420
pMonoidRingFunctions2`3`n`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1058597
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1058729
pMoreSystemCommands`0`n`()->etc``MSYSCMD`1058776
pMultFiniteFactorize`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1059043
pMultipleMap`6`n`(R1:IntegralDomain,UP1:UnivariatePolynomialCategory(R1),UPUP1:UnivariatePolynomialCategory(Fraction(UP1)),R2:IntegralDomain,UP2:UnivariatePolynomialCategory(R2),UPUP2:UnivariatePolynomialCategory(Fraction(UP2)))->etc`(R1,UP1,UPUP1,R2,UP2,UPUP2)`MMAP`1059124
pMultivariateFactorize`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1059181
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1059344
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1059610
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1060003
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1060280
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1060605
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1060916
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1061069
pNoneFunctions1`1`n`(Type)->etc`(S)`NONE1`1061302
pNormInMonogenicAlgebra`4`n`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1061475
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1061591
pNormalizationPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1061625
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1062386
pNumberFormats`0`n`()->etc``NUMFMT`1062633
pNumberTheoreticPolynomialFunctions`1`n`(CommutativeRing)->etc`(R)`NTPOLFN`1062785
pNumericComplexEigenPackage`1`n`(Join(Field,etc))->etc`(Par)`NCEP`1062850
pNumericContinuedFraction`1`n`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1063121
pNumericRealEigenPackage`1`n`(Join(Field,etc))->etc`(Par)`NREP`1063259
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1063493
pNumeric`1`n`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1063705
pNumericalOrdinaryDifferentialEquations`0`n`()->etc``NUMODE`1063805
pNumericalQuadrature`0`n`()->etc``NUMQUAD`1068420
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1071835
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1072001
pOctonionCategoryFunctions2`4`n`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1072066
pOneDimensionalArrayFunctions2`2`n`(Type,B:Type)->etc`(A,B)`ARRAY12`1072246
pOnePointCompletionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1072404
pOperationsQuery`0`n`()->etc``OPQUERY`1072508
pOrderedCompletionFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1072589
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1072691
pOrthogonalPolynomialFunctions`1`n`(CommutativeRing)->etc`(R)`ORTHPOL`1072820
pOutputPackage`0`n`()->etc``OUT`1072896
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1072952
pPadeApproximantPackage`3`n`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1073495
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1073861
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1074218
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1074286
pParametricPlaneCurveFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1074326
pParametricSpaceCurveFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1074360
pParametricSurfaceFunctions2`2`n`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1074394
pParser`0`n`()->etc``PARSER`1074428
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1074548
pPartitionsAndPermutations`0`n`()->etc``PARTPERM`1074826
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1074990
pPatternFunctions2`2`n`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1075017
pPatternMatchAssertions`0`n`()->etc``PMASS`1075048
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1075166
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1075242
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1075311
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1075506
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1075574
pPatternMatchPolynomialCategory`5`n`(S:SetCategory,E:OrderedAbelianMonoidSup,V:OrderedSet,R:Join(Ring,etc),P:Join(PolynomialCategory(R,E,V),etc))->etc`(S,E,V,R,P)`PMPLCAT`1075640
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1075712
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1075789
pPatternMatchResultFunctions2`3`n`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1075859
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1075906
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1075974
pPatternMatch`3`n`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1076034
pPermanent`2`n`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1076105
pPermutationGroupExamples`0`n`()->etc``PGE`1076201
pPiCoercions`1`n`(IntegralDomain)->etc`(R)`PICOERCE`1076599
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1076790
pPlotTools`0`n`()->etc``PLOTTOOL`1076922
pPointFunctions2`2`n`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1076965
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1076999
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1077033
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1077134
pPointsOfFiniteOrder`5`n`(R0:Join(IntegralDomain,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1077264
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1077365
pPolyGroebner`1`n`(GcdDomain)->etc`(F)`PGROEB`1077446
pPolynomialAN2Expression`0`n`()->etc``PAN2EXPR`1078159
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Ring,P:PolynomialCategory(R,E,Vars),S:Join(SetCategory,etc))->etc`(E,Vars,R,P,S)`POLYLIFT`1078279
pPolynomialCategoryQuotientFunctions`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:Ring,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYCATQ`1078576
pPolynomialComposition`2`n`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1078699
pPolynomialDecomposition`2`n`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1078733
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1078767
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1079060
pPolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`POLY2`1079275
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`0
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1079418
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1079471
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1079524
pPolynomialRoots`5`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V),F:Join(Field,etc))->etc`(E,V,R,P,F)`POLYROOT`1079618
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1079693
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1079982
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1080221
pPolynomialToUnivariatePolynomial`2`n`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1080644
pPowerSeriesLimitPackage`2`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1080876
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1081121
pPrimitiveArrayFunctions2`2`n`(Type,B:Type)->etc`(A,B)`PRIMARR2`1081298
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1081450
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1081548
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1081778
pPrintPackage`0`n`()->etc``PRINT`1081843
pPropositionalFormulaFunctions1`1`n`(SetCategory)->Join(Type,etc)`(T)`PROPFUN1`1081907
pPropositionalFormulaFunctions2`2`n`(SetCategory,T:SetCategory)->Join(Type,etc)`(S,T)`PROPFUN2`1081989
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1082072
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1082188
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1083230
pPureAlgebraicLODE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`ODEPAL`1083399
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1083492
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1083528
pQuasiComponentPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1084782
pQuaternionCategoryFunctions2`4`n`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1085521
pQuotientFieldCategoryFunctions2`4`n`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1085718
pRadicalEigenPackage`0`n`()->etc``REP`1085826
pRadicalSolvePackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1086107
pRadixUtilities`0`n`()->etc``RADUTIL`1086279
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1086345
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1086394
pRandomNumberSource`0`n`()->etc``RANDSRC`1086444
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`n`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1086635
pRationalFunctionFactor`1`n`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1086761
pRationalFunctionFactorizer`1`n`(EuclideanDomain)->etc`(R)`RFFACTOR`1086882
pRationalFunctionIntegration`1`n`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1087168
pRationalFunctionLimitPackage`1`n`(GcdDomain)->etc`(R)`LIMITRF`1087250
pRationalFunctionSign`1`n`(GcdDomain)->etc`(R)`SIGNRF`1087303
pRationalFunctionSum`1`n`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1087375
pRationalFunction`1`n`(IntegralDomain)->etc`(R)`RF`1087419
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1087516
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1087597
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1087659
pRationalRetractions`1`n`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1087809
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1087923
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1087987
pRealPolynomialUtilitiesPackage`2`n`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1088423
pRealSolvePackage`0`n`()->etc``REALSOLV`1088524
pRealZeroPackageQ`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1088641
pRealZeroPackage`1`n`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1088946
pRectangularMatrixCategoryFunctions2`10`n`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Ring,Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Ring,Row2:DirectProductCategory(n,R2),Col2:DirectProductCategory(m,R2),M2:RectangularMatrixCategory(m,n,R2,Row2,Col2))->etc`(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)`RMCAT2`1089250
pReduceLODE`5`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F),UP:UnivariatePolynomialCategory(F),A:MonogenicAlgebra(F,UP),LO:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(F,L,UP,A,LO)`ODERED`1089424
pReducedDivisor`5`n`(F1:Field,UP:UnivariatePolynomialCategory(F1),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F1,UP,UPUP),F2:Join(Finite,etc))->etc`(F1,UP,UPUP,R,F2)`RDIV`1089525
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1089674
pRegularSetDecompositionPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1089824
pRegularTriangularSetGcdPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1091286
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1092059
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1092113
pRepresentationPackage1`1`n`(Ring)->etc`(R)`REP1`1092167
pRepresentationPackage2`1`n`(Ring)->etc`(R)`REP2`1092676
pResolveLatticeCompletion`1`n`(Type)->etc`(S)`RESLATC`1093245
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1093343
pSAERationalFunctionAlgFactor`3`n`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1093494
pSegmentBindingFunctions2`2`n`(Type,S:Type)->etc`(R,S)`SEGBIND2`1093628
pSegmentFunctions2`2`n`(Type,S:Type)->etc`(R,S)`SEG2`1093730
pSimpleAlgebraicExtensionAlgFactor`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1093807
pSimplifyAlgebraicNumberConvertPackage`0`n`()->etc``SIMPAN`1093953
pSmithNormalForm`4`n`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1094060
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1094166
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1094214
pSpadParser`0`n`()->etc``SPADPRSR`1094776
pSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`SUP2`1094897
pSpecialOutputPackage`0`n`()->etc``SPECOUT`1095222
pSquareFreeQuasiComponentPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1095337
pSquareFreeRegularSetDecompositionPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1096180
pSquareFreeRegularTriangularSetGcdPackage`5`n`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1097573
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1098458
pStreamFunctions1`1`n`(Type)->etc`(S)`STREAM1`1098757
pStreamFunctions2`2`n`(Type,B:Type)->etc`(A,B)`STREAM2`1098818
pStreamFunctions3`3`n`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1098880
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1098944
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1099123
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1099268
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1099473
pStructuralConstantsPackage`1`n`(Field)->etc`(R)`SCPKG`1099636
pSturmHabichtPackage`2`n`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1099823
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1099985
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1100255
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1100459
pSymmetricGroupCombinatoricFunctions`0`n`()->etc``SGCF`1100526
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1100732
pSystemSolvePackage`1`n`(IntegralDomain)->etc`(R)`SYSSOLP`0
pSystem`0`n`()->Join(Type,etc)``SYSTEM`1100856
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1100964
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1101163
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1101594
pTexFormat1`1`n`(SetCategory)->etc`(S)`TEX1`1101647
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1101791
pTopLevelDrawFunctionsForAlgebraicCurves`2`n`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1101836
pTopLevelDrawFunctionsForCompiledFunctions`0`n`()->etc``DRAWCFUN`1101955
pTopLevelDrawFunctionsForPoints`0`n`()->etc``DRAWPT`1102070
pTopLevelDrawFunctions`1`n`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1102198
pTopLevelThreeSpace`0`n`()->etc``TOPSP`1102293
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1102367
pTransSolvePackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1102925
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1103775
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1103826
pTranscendentalManipulations`2`n`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1103917
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1104042
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1104211
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1104367
pTrigonometricManipulations`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1104842
pTubePlotTools`0`n`()->etc``TUBETOOL`1104993
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1105069
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1105182
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1105349
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1105478
pUnivariateLaurentSeriesFunctions2`6`n`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1105655
pUnivariatePolynomialCategoryFunctions2`4`n`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1105832
pUnivariatePolynomialCommonDenominator`3`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1105975
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1106160
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1106345
pUnivariatePolynomialFunctions2`4`n`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1106491
pUnivariatePolynomialMultiplicationPackage`2`n`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1106834
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1107117
pUnivariatePuiseuxSeriesFunctions2`6`n`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1107792
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1107942
pUnivariateTaylorSeriesFunctions2`4`n`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1108070
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1108246
pUniversalSegmentFunctions2`2`n`(Type,S:Type)->etc`(R,S)`UNISEG2`1108397
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1108474
pUserDefinedVariableOrdering`0`n`()->etc``UDVO`1108540
pVectorFunctions2`2`n`(Type,B:Type)->etc`(A,B)`VECTOR2`1108773
pViewDefaultsPackage`0`n`()->etc``VIEWDEF`1109078
pViewportPackage`0`n`()->etc``VIEW`1109166
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1109292
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1109856
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1110218
pZeroDimensionalSolvePackage`3`n`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1110388
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1111710
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1111838
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1111959
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1112536
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1112689
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1112748
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1113268
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1113361
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1113407
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1113462
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1113519
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1113747
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1113865
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1114005
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1114220
xBooleanLogic&`1`n`(BooleanLogic)->etc`(S)`BOOLE-`1114319
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1114376
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1114812
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1114899
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1114967
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1115287
xDifferentialDomain&`2`n`(DifferentialDomain(T),T:Type)->etc`(S,T)`DIFFDOM-`1115417
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1116054
xDifferentialSpace&`1`n`(DifferentialSpace)->etc`(S)`DIFFSPC-`1117380
xDifferentialSpaceExtension&`2`n`(DifferentialSpaceExtension(R),R:Type)->etc`(S,R)`DSEXT-`1117515
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1117591
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1119973
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1120130
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1120299
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1120345
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1120706
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1121096
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1121246
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1121323
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1121730
xField&`1`n`(Field)->etc`(S)`FIELD-`1121818
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1122040
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1122282
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1122512
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1122683
xFiniteDivisorCategory&`5`n`(FiniteDivisorCategory(F,UP,UPUP,R),F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(S,F,UP,UPUP,R)`FDIVCAT-`1124198
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1124414
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1124474
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1124718
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1124840
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1124991
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1125194
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1126221
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1126334
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1126612
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1126734
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1126965
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1127397
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1127480
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1127559
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1127859
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1128199
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1128742
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1128854
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1129268
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1129328
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1129587
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1129905
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1129964
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1130030
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1130359
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1130468
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1130782
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1130847
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1131012
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1131641
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1131907
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1132095
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1132191
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1132807
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1132874
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1132980
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1133421
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1133531
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1133657
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1133832
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1133971
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1134279
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1134501
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1135308
xOrderedAbelianGroup&`1`n`(OrderedAbelianGroup)->etc`(S)`OAGROUP-`1135519
xOrderedAbelianMonoid&`1`n`(OrderedAbelianMonoid)->etc`(S)`OAMON-`1135619
xOrderedType&`1`n`(OrderedType)->etc`(S)`ORDTYPE-`1135720
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1135777
xPartialDifferentialDomain&`3`n`(PartialDifferentialDomain(T,S),T:Type,S:Type)->etc`(A,T,S)`PDDOM-`1135837
xPartialDifferentialSpace&`2`n`(PartialDifferentialSpace(S),S:SetCategory)->etc`(A,S)`PDSPC-`1136133
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1136344
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1136514
xPolynomialSetCategory&`5`n`(PolynomialSetCategory(R,E,VarSet,P),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:RecursivePolynomialCategory(R,E,VarSet))->etc`(S,R,E,VarSet,P)`PSETCAT-`1136817
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1137431
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1137556
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1137694
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1137786
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1137857
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1137952
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1138247
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1138358
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1138587
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1139039
xRegularTriangularSetCategory&`5`n`(RegularTriangularSetCategory(R,E,V,P),R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`RSETCAT-`1139518
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1142348
xRing&`1`n`(Ring)->etc`(S)`RING-`1142523
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1142621
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1142751
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1143077
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Ring,Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1143349
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1143605
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1143976
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1144080
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1144201
xTriangularSetCategory&`5`n`(TriangularSetCategory(R,E,V,P),R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(S,R,E,V,P)`TSETCAT-`1144262
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1145686
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1145735
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1146290
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1146828
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1147001
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1147295
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1147443
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1147790
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1148087
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1148470
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1148569
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1148989
open-axiom-databases 1.4.1+svn~2626-2ubuntu2 / usr / lib / open-axiom / algebra / libdb.text
