aJacobiIdentity`0`x``cAttributeRegistry``0
aJacobiIdentity`0`x``cLieAlgebra``0
aNullSquare`0`x``cAttributeRegistry``0
aNullSquare`0`x``cLieAlgebra``0
aadditiveValuation`0`x``cAttributeRegistry``3
aadditiveValuation`0`x``cComplexCategory`has(R,ATTRIBUTE(additiveValuation))`0
aadditiveValuation`0`x``cUnivariatePolynomialCategory`has(R,Field)`101
aapproximate`0`x``cFloatingPointSystem``169
aapproximate`0`x``cIntervalCategory``0
aarbitraryExponent`0`x``dFloat``0
aarbitraryPrecision`0`x``cAttributeRegistry``241
aarbitraryPrecision`0`x``dFloat``0
acanonicalUnitNormal`0`n``dPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`337
acanonicalUnitNormal`0`n``dSymmetricPolynomial`has(R,ATTRIBUTE(canonicalUnitNormal))`0
acanonicalUnitNormal`0`n``dXPolynomialRing`has(R,ATTRIBUTE(canonicalUnitNormal))`482
acanonicalUnitNormal`0`x``cAttributeRegistry``627
acanonicalUnitNormal`0`x``cField``868
acanonicalUnitNormal`0`x``cIntegerNumberSystem``0
acanonicalUnitNormal`0`x``cPolynomialCategory`has(R,ATTRIBUTE(canonicalUnitNormal))`887
acanonical`0`x``cAttributeRegistry``1041
acanonical`0`x``dFourierSeries`AND(has(R,ATTRIBUTE(canonical)),has(E,ATTRIBUTE(canonical)))`0
acanonical`0`x``dFraction`AND(has(S,ATTRIBUTE(canonical)),has(S,ATTRIBUTE(canonicalUnitNormal)),has(S,GcdDomain))`1327
acanonical`0`x``dInteger``1398
acanonical`0`x``dRomanNumeral``1453
acanonical`0`x``dSingleInteger``1508
acanonicalsClosed`0`x``cAttributeRegistry``1602
acanonicalsClosed`0`x``cField``1712
acanonicalsClosed`0`x``dInteger``1752
acanonicalsClosed`0`x``dRomanNumeral``1798
acanonicalsClosed`0`x``dSingleInteger``1844
acentral`0`n``dSquareMatrix`has(R,ATTRIBUTE(commutative("*")))`1919
acentral`0`x``cAttributeRegistry``2090
acommutative`1`x`("*")`cAttributeRegistry``2359
acommutative`1`x`("*")`cCommutativeRing``2471
acommutative`1`x`("*")`dCardinalNumber``2507
acommutative`1`x`("*")`dNonNegativeInteger``2626
acommutative`1`x`("*")`dPositiveInteger``2711
acomplex`0`x``cComplexCategory``2795
afiniteAggregate`0`n``dEqTable``0
afiniteAggregate`0`n``dGeneralPolynomialSet``0
afiniteAggregate`0`n``dHashTable``0
afiniteAggregate`0`n``dInnerTable``0
afiniteAggregate`0`n``dListMultiDictionary``0
afiniteAggregate`0`n``dSplittingTree``0
afiniteAggregate`0`n``dStringTable``0
afiniteAggregate`0`n``dTable``0
afiniteAggregate`0`x``cAttributeRegistry``2838
afiniteAggregate`0`x``cBinaryTreeCategory``2937
afiniteAggregate`0`x``cDirectProductCategory``2990
afiniteAggregate`0`x``cFiniteLinearAggregate``0
afiniteAggregate`0`x``cFiniteSetAggregate``0
afiniteAggregate`0`x``cMatrixCategory``3045
afiniteAggregate`0`x``cPolynomialSetCategory``0
afiniteAggregate`0`x``cPriorityQueueAggregate``0
afiniteAggregate`0`x``cQueueAggregate``0
afiniteAggregate`0`x``cRectangularMatrixCategory``3070
afiniteAggregate`0`x``cStackAggregate``0
afiniteAggregate`0`x``cTriangularSetCategory``0
afiniteAggregate`0`x``cTwoDimensionalArrayCategory``3095
afiniteAggregate`0`x``dAttributeButtons``0
afiniteAggregate`0`x``dBalancedBinaryTree``0
afiniteAggregate`0`x``dBasicFunctions``0
afiniteAggregate`0`x``dBinarySearchTree``0
afiniteAggregate`0`x``dByteBuffer``3134
afiniteAggregate`0`x``dKeyedAccessFile``0
afiniteAggregate`0`x``dMultiset``0
afiniteAggregate`0`x``dResult``0
afiniteAggregate`0`x``dRoutinesTable``0
afiniteAggregate`0`x``dTree``0
ainfinite`0`x``dInteger``3181
aleftUnitary`0`x``cAttributeRegistry``3219
aleftUnitary`0`x``cBiModule``3296
amultiplicativeValuation`0`x``cAttributeRegistry``3318
amultiplicativeValuation`0`x``cComplexCategory`has(R,ATTRIBUTE(multiplicativeValuation))`0
amultiplicativeValuation`0`x``cIntegerNumberSystem``3423
anil`0`n``cUnionType``0
anil`0`x``cType``0
anoZeroDivisors`0`n``dXPolynomialRing`has(R,ATTRIBUTE(noZeroDivisors))`0
anoZeroDivisors`0`x``cAttributeRegistry``3497
anoZeroDivisors`0`x``cEntireRing``3611
anoZeroDivisors`0`x``cXFreeAlgebra`has(R,ATTRIBUTE(noZeroDivisors))`0
anoetherian`0`x``cAttributeRegistry``3675
anoetherian`0`x``dInteger``3758
anoetherian`0`x``dRomanNumeral``3800
anoetherian`0`x``dSingleInteger``3842
apartiallyOrderedSet`0`x``cAttributeRegistry``3920
apartiallyOrderedSet`0`x``cSetAggregate``0
arightUnitary`0`x``cAttributeRegistry``4085
arightUnitary`0`x``cBiModule``4163
ashallowlyMutable`0`n``dGeneralPolynomialSet``0
ashallowlyMutable`0`n``dSplittingTree``0
ashallowlyMutable`0`n``dTwoDimensionalArray``4185
ashallowlyMutable`0`x``cAttributeRegistry``4248
ashallowlyMutable`0`x``cBagAggregate``4462
ashallowlyMutable`0`x``cBinaryTreeCategory``4542
ashallowlyMutable`0`x``cExtensibleLinearAggregate``0
ashallowlyMutable`0`x``cMatrixCategory``4587
ashallowlyMutable`0`x``cOneDimensionalArrayAggregate``0
ashallowlyMutable`0`x``cTriangularSetCategory``0
ashallowlyMutable`0`x``cTwoDimensionalArrayCategory``4629
ashallowlyMutable`0`x``dBalancedBinaryTree``0
ashallowlyMutable`0`x``dBinarySearchTree``0
ashallowlyMutable`0`x``dBinaryTournament``0
ashallowlyMutable`0`x``dMultiset``0
ashallowlyMutable`0`x``dStream``4669
ashallowlyMutable`0`x``dTree``0
aunitsKnown`0`n``dSquareMatrix`AND(has(R,ATTRIBUTE(commutative("*"))),has(R,ATTRIBUTE(unitsKnown)))`4751
aunitsKnown`0`n``dXPolynomialRing`has(R,ATTRIBUTE(unitsKnown))`0
aunitsKnown`0`x``cAttributeRegistry``4855
aunitsKnown`0`x``cDirectProductCategory`has(R,ATTRIBUTE(unitsKnown))`0
aunitsKnown`0`x``cFiniteRankNonAssociativeAlgebra`has(R,IntegralDomain)`5062
aunitsKnown`0`x``cGroup``5326
aunitsKnown`0`x``cRing``5398
cAbelianGroup`0`x`()->Category``ABELGRP`5494
cAbelianMonoidRing`2`x`(Ring,OrderedAbelianMonoid)->Category`(R,E)`AMR`5620
cAbelianMonoid`0`x`()->Category``ABELMON`6193
cAbelianSemiGroup`0`x`()->Category``ABELSG`6312
cAbstractSyntaxCategory`0`x`()->Category``ASTCAT`6463
cAggregate`0`x`()->Category``AGG`6520
cAlgebra`1`x`(CommutativeRing)->Category`(R)`ALGEBRA`7036
cAlgebraicallyClosedField`0`x`()->Category``ACF`7127
cAlgebraicallyClosedFunctionSpace`1`x`(IntegralDomain)->Category`(R)`ACFS`7171
cArcHyperbolicFunctionCategory`0`x`()->Category``AHYP`7224
cArcTrigonometricFunctionCategory`0`x`()->Category``ATRIG`7290
cAssociationListAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`ALAGG`7345
cAttributeRegistry`0`x`()->Category``ATTREG`7512
cBagAggregate`1`x`(Type)->Category`(S)`BGAGG`7575
cBasicType`0`x`()->Category``BASTYPE`7801
cBiModule`2`x`(Ring,Ring)->Category`(R,S)`BMODULE`7917
cBinaryRecursiveAggregate`1`x`(Type)->Category`(S)`BRAGG`8032
cBinaryTreeCategory`1`x`(SetCategory)->Category`(S)`BTCAT`8170
cBitAggregate`0`x`()->Category``BTAGG`8383
cCachableSet`0`x`()->Category``CACHSET`8480
cCancellationAbelianMonoid`0`x`()->Category``CABMON`8568
cCharacteristicNonZero`0`x`()->Category``CHARNZ`8798
cCharacteristicZero`0`x`()->Category``CHARZ`8836
cCoercibleFrom`1`x`(Type)->Category`(S)`KRCFROM`8871
cCoercibleTo`1`x`(Type)->Category`(S)`KOERCE`8998
cCollection`1`x`(Type)->Category`(S)`CLAGG`9132
cCombinatorialFunctionCategory`0`x`()->Category``CFCAT`9566
cCombinatorialOpsCategory`0`x`()->Category``COMBOPC`9619
cCommutativeRing`0`x`()->Category``COMRING`9751
cComplexCategory`1`x`(CommutativeRing)->Category`(R)`COMPCAT`9914
cConduit`0`x`()->Category``CONDUIT`9999
cConstructorCategory`0`x`()->Category``CTORCAT`10051
cConvertibleFrom`1`x`(Type)->Category`(S)`KVTFROM`10117
cConvertibleTo`1`x`(Type)->Category`(S)`KONVERT`10245
cDequeueAggregate`1`x`(Type)->Category`(S)`DQAGG`10392
cDictionaryOperations`1`x`(SetCategory)->Category`(S)`DIOPS`10570
cDictionary`1`x`(SetCategory)->Category`(S)`DIAGG`10698
cDifferentialExtension`1`x`(Ring)->Category`(R)`DIFEXT`11016
cDifferentialPolynomialCategory`4`x`(Ring,S:OrderedSet,DifferentialVariableCategory(S),OrderedAbelianMonoidSup)->Category`(R,S,V,E)`DPOLCAT`11142
cDifferentialRing`0`x`()->Category``DIFRING`12462
cDifferentialVariableCategory`1`x`(OrderedSet)->Category`(S)`DVARCAT`12572
cDirectProductCategory`2`x`(NonNegativeInteger,Type)->Category`(dim,R)`DIRPCAT`14944
cDivisionRing`0`x`()->Category``DIVRING`15099
cDoublyLinkedAggregate`1`x`(Type)->Category`(S)`DLAGG`15266
cElementaryFunctionCategory`0`x`()->Category``ELEMFUN`15471
cEltableAggregate`2`x`(SetCategory,Type)->Category`(Dom,Im)`ELTAGG`15515
cEltable`2`x`(SetCategory,Type)->Category`(S,Index)`ELTAB`15874
cEntireRing`0`x`()->Category``ENTIRER`16181
cEuclideanDomain`0`x`()->Category``EUCDOM`16329
cEvalable`1`x`(SetCategory)->Category`(R)`EVALAB`16717
cExpressionSpace`0`x`()->Category``ES`16872
cExtensibleLinearAggregate`1`x`(Type)->Category`(S)`ELAGG`16947
cExtensionField`1`x`(Field)->Category`(F)`XF`17352
cFieldOfPrimeCharacteristic`0`x`()->Category``FPC`17438
cField`0`x`()->Category``FIELD`17678
cFileCategory`2`x`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`17898
cFileNameCategory`0`x`()->Category``FNCAT`18133
cFiniteAbelianMonoidRing`2`x`(Ring,OrderedAbelianMonoid)->Category`(R,E)`FAMR`18203
cFiniteAlgebraicExtensionField`1`x`(Field)->Category`(F)`FAXF`18372
cFiniteDivisorCategory`4`x`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),FunctionFieldCategory(F,UP,UPUP))->Category`(F,UP,UPUP,R)`FDIVCAT`19886
cFiniteFieldCategory`0`x`()->Category``FFIELDC`20114
cFiniteLinearAggregate`1`x`(Type)->Category`(S)`FLAGG`20172
cFiniteRankAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FINRALG`20414
cFiniteRankNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FINAALG`20534
cFiniteSetAggregate`1`x`(SetCategory)->Category`(S)`FSAGG`20683
cFinite`0`x`()->Category``FINITE`20884
cFloatingPointSystem`0`x`()->Category``FPS`21112
cFortranFunctionCategory`0`x`()->Category``FORTFN`22140
cFortranMachineTypeCategory`0`x`()->Category``FMTC`22274
cFortranMatrixCategory`0`x`()->Category``FMC`22372
cFortranMatrixFunctionCategory`0`x`()->Category``FMFUN`22587
cFortranProgramCategory`0`x`()->Category``FORTCAT`22729
cFortranVectorCategory`0`x`()->Category``FVC`22868
cFortranVectorFunctionCategory`0`x`()->Category``FVFUN`23083
cFramedAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FRAMALG`23232
cFramedNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FRNAALG`23343
cFreeAbelianMonoidCategory`2`x`(SetCategory,CancellationAbelianMonoid)->Category`(S,E)`FAMONC`23619
cFreeLieAlgebra`2`x`(OrderedSet,CommutativeRing)->Category`(VarSet,R)`FLALG`23869
cFreeModuleCat`2`x`(Ring,SetCategory)->Category`(R,Basis)`FMCAT`24073
cFullyEvalableOver`1`x`(SetCategory)->Category`(R)`FEVALAB`24599
cFullyLinearlyExplicitRingOver`1`x`(Ring)->Category`(R)`FLINEXP`24720
cFullyPatternMatchable`1`x`(Type)->Category`(R)`FPATMAB`24950
cFullyRetractableTo`1`x`(Type)->Category`(S)`FRETRCT`25143
cFunctionFieldCategory`3`x`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UnivariatePolynomialCategory(Fraction(UP)))->Category`(F,UP,UPUP)`FFCAT`25581
cFunctionSpace`1`x`(SetCategory)->Category`(R)`FS`25663
cGcdDomain`0`x`()->Category``GCDDOM`25741
cGradedAlgebra`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRALG`26047
cGradedModule`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`26400
cGroup`0`x`()->Category``GROUP`26948
cHomogeneousAggregate`1`x`(Type)->Category`(S)`HOAGG`27059
cHomotopicTo`1`x`(Type)->Category`(S)`HOMOTOP`27472
cHyperbolicFunctionCategory`0`x`()->Category``HYPCAT`27684
cIndexedAggregate`2`x`(SetCategory,Type)->Category`(Index,Entry)`IXAGG`27743
cIndexedDirectProductCategory`2`x`(SetCategory,OrderedSet)->Category`(A,S)`IDPC`28001
cInnerEvalable`2`x`(SetCategory,Type)->Category`(A,B)`IEVALAB`28104
cInputByteConduit`0`x`()->Category``INBCON`28428
cInputOutputByteConduit`0`x`()->Category``IOBCON`28486
cIntegerNumberSystem`0`x`()->Category``INS`28582
cIntegralDomain`0`x`()->Category``INTDOM`28647
cIntervalCategory`1`x`(Join(FloatingPointSystem,etc))->Category`(R)`INTCAT`28975
cKeyedDictionary`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`KDAGG`29283
cLazyStreamAggregate`1`x`(Type)->Category`(S)`LZSTAGG`29391
cLeftAlgebra`1`x`(Ring)->Category`(R)`LALG`29704
cLeftLinearSet`1`x`(Rng)->Category`(R)`LLINSET`29768
cLeftModule`1`x`(Rng)->Category`(R)`LMODULE`30094
cLieAlgebra`1`x`(CommutativeRing)->Category`(R)`LIECAT`30282
cLinearAggregate`1`x`(Type)->Category`(S)`LNAGG`30446
cLinearOrdinaryDifferentialOperatorCategory`1`x`(Ring)->Category`(A)`LODOCAT`31073
cLinearSet`1`x`(Rng)->Category`(R)`LINSET`31338
cLinearlyExplicitRingOver`1`x`(Ring)->Category`(R)`LINEXP`31667
cLiouvillianFunctionCategory`0`x`()->Category``LFCAT`31732
cListAggregate`1`x`(Type)->Category`(S)`LSAGG`31793
cLogic`0`x`()->Category``LOGIC`31980
cMatrixCategory`3`x`(R:Ring,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`MATCAT`32075
cModule`1`x`(CommutativeRing)->Category`(R)`MODULE`32689
cMonadWithUnit`0`x`()->Category``MONADWU`32755
cMonad`0`x`()->Category``MONAD`33215
cMonogenicAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`MONOGEN`33320
cMonogenicLinearOperator`1`x`(Ring)->Category`(R)`MLO`33429
cMonoid`0`x`()->Category``MONOID`33951
cMultiDictionary`1`x`(SetCategory)->Category`(S)`MDAGG`34076
cMultisetAggregate`1`x`(SetCategory)->Category`(S)`MSETAGG`34272
cMultivariateTaylorSeriesCategory`2`x`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`34364
cNetworkClientSocket`1`x`(SetCategory)->Category`(T)`NETCLT`0
cNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`NAALG`34471
cNonAssociativeRing`0`x`()->Category``NASRING`34666
cNonAssociativeRng`0`x`()->Category``NARNG`34811
cNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`NTSCAT`35160
cNumericalIntegrationCategory`0`x`()->Category``NUMINT`0
cNumericalOptimizationCategory`0`x`()->Category``OPTCAT`0
cOctonionCategory`1`x`(CommutativeRing)->Category`(R)`OC`36562
cOneDimensionalArrayAggregate`1`x`(Type)->Category`(S)`A1AGG`36783
cOpenMath`0`x`()->Category``OM`37588
cOperatorCategory`1`x`(SetCategory)->Category`(S)`OPERCAT`37678
cOrderedAbelianGroup`0`x`()->Category``OAGROUP`37888
cOrderedAbelianMonoidSup`0`x`()->Category``OAMONS`37987
cOrderedAbelianMonoid`0`x`()->Category``OAMON`38297
cOrderedAbelianSemiGroup`0`x`()->Category``OASGP`38397
cOrderedCancellationAbelianMonoid`0`x`()->Category``OCAMON`38541
cOrderedFinite`0`x`()->Category``ORDFIN`38654
cOrderedIntegralDomain`0`x`()->Category``OINTDOM`38681
cOrderedMonoid`0`x`()->Category``ORDMON`38814
cOrderedMultisetAggregate`1`x`(OrderedSet)->Category`(S)`OMSAGG`38919
cOrderedRing`0`x`()->Category``ORDRING`38956
cOrderedSemiGroup`0`n`()->Category``OSGROUP`39089
cOrderedSet`0`x`()->Category``ORDSET`39132
cOrdinaryDifferentialEquationsSolverCategory`0`x`()->Category``ODECAT`0
cOutputByteConduit`0`x`()->Category``OUTBCON`39389
cPAdicIntegerCategory`1`x`(Integer)->Category`(p)`PADICCT`39448
cPartialDifferentialEquationsSolverCategory`0`x`()->Category``PDECAT`0
cPartialDifferentialRing`1`x`(SetCategory)->Category`(S)`PDRING`39552
cPartialTranscendentalFunctions`1`x`(TranscendentalFunctionCategory)->Category`(K)`PTRANFN`39657
cPatternMatchable`1`x`(SetCategory)->Category`(S)`PATMAB`39792
cPatternable`1`x`(Type)->Category`(R)`PATAB`39913
cPermutationCategory`1`x`(SetCategory)->Category`(S)`PERMCAT`40102
cPlottablePlaneCurveCategory`0`x`()->Category``PPCURVE`40246
cPlottableSpaceCurveCategory`0`x`()->Category``PSCURVE`40588
cPointCategory`1`x`(Ring)->Category`(R)`PTCAT`40933
cPolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`41114
cPolynomialFactorizationExplicit`0`x`()->Category``PFECAT`41283
cPolynomialSetCategory`4`x`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`41585
cPowerSeriesCategory`3`x`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`42197
cPrimitiveFunctionCategory`0`x`()->Category``PRIMCAT`42321
cPrincipalIdealDomain`0`x`()->Category``PID`42376
cPriorityQueueAggregate`1`x`(OrderedSet)->Category`(S)`PRQAGG`42727
cPropositionalLogic`0`x`()->Category``PROPLOG`42844
cQuaternionCategory`1`x`(CommutativeRing)->Category`(R)`QUATCAT`42913
cQueueAggregate`1`x`(Type)->Category`(S)`QUAGG`43050
cQuotientFieldCategory`1`x`(IntegralDomain)->Category`(S)`QFCAT`43132
cRGBColorModel`1`x`(AbelianMonoid)->Category`(T)`RGBCMDL`43223
cRGBColorSpace`1`x`(AbelianMonoid)->Category`(T)`RGBCSPC`43301
cRadicalCategory`0`x`()->Category``RADCAT`43379
cRealClosedField`0`x`()->Category``RCFIELD`43449
cRealConstant`0`x`()->Category``REAL`43543
cRealNumberSystem`0`x`()->Category``RNS`43630
cRealRootCharacterizationCategory`2`x`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`43924
cRectangularMatrixCategory`5`x`(m:NonNegativeInteger,n:NonNegativeInteger,R:Ring,DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`44034
cRecursiveAggregate`1`x`(Type)->Category`(S)`RCAGG`44262
cRecursivePolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`44703
cRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`45180
cRetractableTo`1`x`(Type)->Category`(S)`RETRACT`48011
cRightLinearSet`1`x`(Rng)->Category`(R)`RLINSET`48185
cRightModule`1`x`(Rng)->Category`(R)`RMODULE`48513
cRing`0`x`()->Category``RING`48703
cRng`0`x`()->Category``RNG`48800
cSExpressionCategory`5`x`(SetCategory,SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt,Expr)`SEXCAT`49024
cSegmentCategory`1`x`(Type)->Category`(S)`SEGCAT`49126
cSegmentExpansionCategory`2`x`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`49217
cSemiGroup`0`x`()->Category``SGROUP`49307
cSetAggregate`1`x`(SetCategory)->Category`(S)`SETAGG`49436
cSetCategory`0`x`()->Category``SETCAT`49761
cSpadAstExports`0`x`()->Category``SPADXPT`50032
cSpadSyntaxCategory`0`x`()->Category``SASTCAT`50123
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`50174
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`50222
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`50546
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Ring,DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`51532
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`51787
cStepThrough`0`x`()->Category``STEP`51868
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`52427
cStringAggregate`0`x`()->Category``SRAGG`52797
cStringCategory`0`x`()->Category``STRICAT`52900
cTableAggregate`2`x`(SetCategory,SetCategory)->Category`(Key,Entry)`TBAGG`52941
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`53061
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`53253
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`53313
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`54747
cTwoDimensionalArrayCategory`3`x`(R:Type,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`ARR2CAT`54795
cType`0`x`()->Category``TYPE`55348
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`55376
cUnionType`0`n`()->Category``UTYPE`55912
cUniqueFactorizationDomain`0`x`()->Category``UFD`56227
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`56399
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`56499
cUnivariatePolynomialCategory`1`x`(Ring)->Category`(R)`UPOLYC`56792
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`56939
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`57285
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`57385
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`57681
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`58063
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`58161
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`58580
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`58651
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`58910
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`59016
dAddAst`0`x`()->Join(SpadSyntaxCategory,etc)``ADDAST`59180
dAlgebraGivenByStructuralConstants`4`x`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`59243
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`59698
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`59766
dAnonymousFunction`0`n`()->Join(SetCategory,etc)``ANON`59837
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`59886
dAny`0`x`()->Join(SetCategory,etc)``ANY`59933
dArity`0`x`()->Join(SetCategory,etc)``ARITY`60482
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`60777
dAsp10`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP10`60824
dAsp12`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP12`61244
dAsp19`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP19`61669
dAsp1`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP1`66790
dAsp20`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP20`67137
dAsp24`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP24`67635
dAsp27`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP27`68284
dAsp28`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP28`69357
dAsp29`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP29`78189
dAsp30`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP30`78564
dAsp31`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP31`79642
dAsp33`1`x`(Symbol)->Join(FortranProgramCategory,etc)`(name)`ASP33`80218
dAsp34`1`x`(Symbol)->FortranMatrixCategory`(name)`ASP34`80499
dAsp35`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP35`81159
dAsp41`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP41`81896
dAsp42`3`x`(Symbol,Symbol,Symbol)->Join(FortranVectorFunctionCategory,etc)`(nameOne,nameTwo,nameThree)`ASP42`83000
dAsp49`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP49`84274
dAsp4`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP4`85011
dAsp50`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP50`85443
dAsp55`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP55`87369
dAsp6`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP6`88594
dAsp73`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP73`89694
dAsp74`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP74`90139
dAsp77`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP77`90763
dAsp78`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP78`91111
dAsp7`1`x`(Symbol)->Join(FortranVectorFunctionCategory,etc)`(name)`ASP7`91377
dAsp80`1`x`(Symbol)->Join(FortranMatrixFunctionCategory,etc)`(name)`ASP80`91930
dAsp8`1`x`(Symbol)->FortranVectorCategory`(name)`ASP8`92300
dAsp9`1`x`(Symbol)->Join(FortranFunctionCategory,etc)`(name)`ASP9`93218
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`93858
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`95083
dAssociationList`2`n`(SetCategory,Entry:SetCategory)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`96137
dAttributeAst`0`x`()->Join(SpadSyntaxCategory,etc)``ATTRAST`96444
dAttributeButtons`0`x`()->Join(SetCategory,etc)``ATTRBUT`96540
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`97585
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`97671
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`98020
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`98240
dBasicFunctions`0`x`()->Join(SetCategory,etc)``BFUNCT`0
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`98453
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`98587
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`98677
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`98957
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`99248
dBinding`0`x`()->Join(CoercibleTo(OutputForm),etc)``BINDING`99474
dBits`0`x`()->Join(BitAggregate,etc)``BITS`99658
dBoolean`0`x`()->Join(OrderedFinite,etc)``BOOLEAN`99725
dByteBuffer`0`x`()->Join(OneDimensionalArrayAggregate(Byte),etc)``BYTEBUF`99832
dByteOrder`0`n`()->Join(SetCategory,etc)``BYTEORD`100611
dByte`0`x`()->Join(OrderedFinite,etc)``BYTE`100685
dCapsuleAst`0`x`()->Join(SpadSyntaxCategory,etc)``CAPSLAST`100752
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`100817
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`102222
dCaseAst`0`x`()->Join(SpadSyntaxCategory,etc)``CASEAST`102468
dCategoryAst`0`x`()->Join(SpadSyntaxCategory,etc)``CATAST`102518
dCategoryConstructor`0`n`()->Join(ConstructorCategory,etc)``CATCTOR`102623
dCategory`0`n`()->Join(CoercibleTo(OutputForm),etc)``CATEGORY`0
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`102693
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`102783
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,QuadraticForm(n,K))->Join(Ring,etc)`(n,K,Q)`CLIF`102841
dCoerceAst`0`x`()->Join(SpadSyntaxCategory,etc)``CRCEAST`103532
dCollectAst`0`x`()->Join(SpadSyntaxCategory,etc)``CLLCTAST`103583
dColonAst`0`x`()->Join(SpadSyntaxCategory,etc)``COLONAST`103639
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`103734
dCommaAst`0`x`()->Join(SpadSyntaxCategory,etc)``COMMAAST`103844
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`103940
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`103975
dConstructAst`0`x`()->Join(SpadSyntaxCategory,etc)``LSTAST`104181
dConstructorCall`1`x`(ConstructorCategory)->Join(SetCategory,etc)`(C)`CTORCALL`0
dConstructorKind`0`n`()->Join(SetCategory,etc)``CTORKIND`104237
dConstructor`0`n`()->Join(ConstructorCategory,etc)``CTOR`104396
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`104457
dContour`0`x`()->Join(CoercibleTo(OutputForm),etc)``CONTOUR`105048
dDataArray`2`x`(PositiveInteger,T:SetCategory)->Join(SetCategory,etc)`(N,T)`DATAARY`105226
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`105296
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`105352
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`105459
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`105723
dDefinitionAst`0`x`()->Join(SpadSyntaxCategory,etc)``DEFAST`105814
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`105871
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`106158
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`106204
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`106470
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`106556
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`106655
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`107264
dDomainConstructor`0`n`()->Join(ConstructorCategory,etc)``DOMCTOR`107627
dDomainTemplate`0`n`()->Join(SetCategory,etc)``DOMTMPLT`107696
dDomain`0`x`()->Join(SetCategory,etc)``DOMAIN`0
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`107782
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`109722
dElaboratedExpression`0`x`()->Join(CoercibleTo(OutputForm),etc)``ELABEXPR`109816
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`109892
dElementaryFunctionsUnivariatePuiseuxSeries`4`n`(Coef:Algebra(Fraction(Integer)),ULS:UnivariateLaurentSeriesCategory(Coef),UPXS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),PartialTranscendentalFunctions(ULS))->Join(PartialTranscendentalFunctions(UPXS),etc)`(Coef,ULS,UPXS,EFULS)`EFUPXS`110311
dEnumeration`1`x`special`(a,b,...,c)`ENUM`110730
dEnvironment`0`x`()->Join(CoercibleTo(OutputForm),etc)``ENV`110885
dEqTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`111041
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`111206
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`111446
dExitAst`0`x`()->Join(SpadSyntaxCategory,etc)``EXITAST`111646
dExit`0`x`()->SetCategory``EXIT`111693
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`111980
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Field,var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`112273
dExpression`1`x`(SetCategory)->Join(FunctionSpace(R),etc)`(R)`EXPR`113054
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`113102
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`113944
dFileName`0`x`()->FileNameCategory``FNAME`114789
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`114858
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`114992
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`115221
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`115828
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`116465
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`117121
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`117395
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`117694
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`118211
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`118725
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`119221
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`119413
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`120421
dFortranCode`0`x`()->Join(SetCategory,etc)``FC`124192
dFortranExpression`3`x`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`124298
dFortranProgram`4`x`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`124457
dFortranScalarType`0`x`()->Join(CoercibleTo(OutputForm),etc)``FST`124628
dFortranTemplate`0`x`()->Join(FileCategory(FileName,String),etc)``FTEM`124768
dFortranType`0`x`()->Join(SetCategory,etc)``FT`124811
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`124919
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`125128
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`125324
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`125592
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`125637
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`125687
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`125921
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`126169
dFreeModule1`2`n`(Ring,S:OrderedSet)->Join(FreeModuleCat(R,S),etc)`(R,S)`FM1`126408
dFreeModule`2`n`(Ring,S:OrderedSet)->Join(BiModule(R,R),etc)`(R,S)`FM`126836
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`127041
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`127294
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`127434
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`127788
dFunctionDescriptor`0`n`()->Join(SetCategory,etc)``FUNDESC`127833
dFunctorData`0`n`()->Join(SetCategory,etc)``FCTRDATA`128001
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`128073
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`128634
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`128667
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:SetCategory,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`128703
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`128821
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`129488
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`129785
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`129951
dHasAst`0`x`()->Join(SpadSyntaxCategory,etc)``HASAST`130062
dHashTable`3`n`(SetCategory,Entry:SetCategory,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`130111
dHeadAst`0`x`()->Join(SpadSyntaxCategory,etc)``HEADAST`130270
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`130327
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`130394
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`130489
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`130827
dHostname`0`x`()->Join(SetCategory,etc)``HOSTNAME`131236
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`131296
dIOMode`0`n`()->Join(SetCategory,etc)``IOMODE`131650
dIP4Address`0`x`()->Join(SetCategory,etc)``IP4ADDR`131759
dIdentifier`0`x`()->Join(SetCategory,etc)``IDENT`131834
dIfAst`0`x`()->Join(SpadSyntaxCategory,etc)``IFAST`132022
dImportAst`0`x`()->Join(SpadSyntaxCategory,etc)``IMPTAST`132084
dInAst`0`n`()->Join(SpadSyntaxCategory,etc)``INAST`132135
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`132190
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`132284
dIndexedDirectProductAbelianGroup`2`n`(AbelianGroup,S:OrderedSet)->Join(AbelianGroup,etc)`(A,S)`IDPAG`132382
dIndexedDirectProductAbelianMonoid`2`n`(AbelianMonoid,S:OrderedSet)->Join(AbelianMonoid,etc)`(A,S)`IDPAM`132589
dIndexedDirectProductObject`2`n`(SetCategory,S:OrderedSet)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`132798
dIndexedDirectProductOrderedAbelianMonoidSup`2`n`(OrderedAbelianMonoidSup,S:OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(A,S)`IDPOAMS`132954
dIndexedDirectProductOrderedAbelianMonoid`2`n`(OrderedAbelianMonoid,S:OrderedSet)->Join(OrderedAbelianMonoid,etc)`(A,S)`IDPOAM`133152
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`133386
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`133608
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`134679
dIndexedMatrix`3`n`(Ring,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`135172
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`135643
dIndexedString`1`n`(Integer)->Join(StringAggregate,etc)`(mn)`ISTRING`135744
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`135791
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`136370
dInetClientStreamSocket`0`x`()->Join(NetworkClientSocket(IP4Address),etc)``INETCLTS`0
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`136488
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`136603
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`136652
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`136880
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`136936
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`137093
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`137209
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`137412
dInnerTable`3`n`(Key:SetCategory,Entry:SetCategory,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`137539
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`137647
dInputBinaryFile`0`x`()->Join(InputByteConduit,etc)``INBFILE`138023
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm),etc)``INFORM`138180
dInputOutputBinaryFile`0`x`()->Join(InputOutputByteConduit,etc)``IOBFILE`138332
dInt16`0`n`()->Join(OrderedFinite,etc)``INT16`138503
dInt32`0`n`()->Join(OrderedFinite,etc)``INT32`138585
dInt64`0`n`()->Join(OrderedFinite,etc)``INT64`138667
dInt8`0`n`()->Join(OrderedFinite,etc)``INT8`138749
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`138830
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`138923
dIntegrationFunctionsTable`0`x`()->etc``INTFTBL`139001
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`139018
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`139524
dIsAst`0`x`()->Join(SpadSyntaxCategory,etc)``ISAST`139840
dJavaBytecode`0`x`()->Join(CoercibleTo(OutputForm),etc)``JAVACODE`139889
dJoinAst`0`x`()->Join(SpadSyntaxCategory,etc)``JOINAST`139983
dKernel`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`KERNEL`140041
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`140143
dKleeneTrivalentLogic`0`n`()->Join(PropositionalLogic,etc)``KTVLOGIC`140240
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`140315
dLetAst`0`x`()->Join(SpadSyntaxCategory,etc)``LETAST`140475
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`140528
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`140593
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`140962
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(SquareMatrixCategory(n,R,DirectProduct(n,R),DirectProduct(n,R)),etc)`(n,R)`LSQM`141154
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`141501
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`141747
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`142028
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`142284
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`0
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`142455
dLiteral`1`x`(SetCategory)->Join(SpadSyntaxCategory,etc)`(T)`LITERAL`142740
dLocalAlgebra`3`n`(Algebra(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Algebra(R),etc)`(A,R,S)`LA`142792
dLocalize`3`n`(Module(R),R:CommutativeRing,S:SubsetCategory(Monoid,R))->Join(Module(R),etc)`(M,R,S)`LO`142932
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`143118
dMachineComplex`0`x`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`143991
dMachineFloat`0`x`()->Join(FloatingPointSystem,etc)``MFLOAT`144093
dMachineInteger`0`x`()->Join(FortranMachineTypeCategory,etc)``MINT`144195
dMacroAst`0`x`()->Join(SpadSyntaxCategory,etc)``MACROAST`144290
dMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`MAGMA`144353
dMappingAst`0`x`()->Join(SpadSyntaxCategory,etc)``MAPPAST`144552
dMapping`1`x`special`(T,S)`MAPPING`144762
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`145001
dMatrix`1`x`(Ring)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`145096
dMaybe`1`x`(CoercibleTo(OutputForm))->Join(UnionType,etc)`(T)`MAYBE`145197
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`145314
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`145347
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`145569
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`145778
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`145811
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`145860
dMonoidRing`2`n`(Ring,M:Monoid)->Join(Ring,etc)`(R,M)`MRING`145983
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`146935
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`146982
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`147304
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`147567
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`147756
dNone`0`n`()->SetCategory``NONE`147852
dNumericalIntegrationProblem`0`x`()->Join(SetCategory,etc)``NIPROB`0
dNumericalODEProblem`0`x`()->Join(SetCategory,etc)``ODEPROB`0
dNumericalOptimizationProblem`0`x`()->Join(SetCategory,etc)``OPTPROB`0
dNumericalPDEProblem`0`x`()->Join(SetCategory,etc)``PDEPROB`0
dODEIntensityFunctionsTable`0`x`()->etc``ODEIFTBL`148069
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`148215
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`148738
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`148797
dOpenMathConnection`0`x`()->etc``OMCONN`148901
dOpenMathDevice`0`x`()->etc``OMDEV`149038
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`149230
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`149304
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`149470
dOperatorSignature`0`n`()->Join(OperatorCategory(Identifier),etc)``OPSIG`149535
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`149591
dOppositeMonogenicLinearOperator`2`n`(MonogenicLinearOperator(R),R:Ring)->Join(MonogenicLinearOperator(R),etc)`(P,R)`OMLO`149640
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`149878
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`150171
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`150286
dOrderedFreeMonoid`1`n`(OrderedSet)->Join(OrderedMonoid,etc)`(S)`OFMONOID`150616
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`151222
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`151269
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`151575
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`152263
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`152384
dOutputBinaryFile`0`x`()->Join(OutputByteConduit,etc)``OUTBFILE`152612
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`152770
dOverloadSet`0`n`()->Join(SetCategory,etc)``OVERSET`153032
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`153121
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`153313
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`153386
dPair`2`x`(Type,T:Type)->Join(Type,etc)`(S,T)`PAIR`153568
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`153733
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`153801
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`153894
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`153985
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`154069
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`154923
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`155169
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`155405
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`155626
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`155673
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`155815
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`156284
dPi`0`x`()->Join(Field,etc)``HACKPI`156777
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`157088
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`157351
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`157687
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`158052
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`158387
dPolynomialIdeals`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`158443
dPolynomialRing`2`n`(Ring,E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`158951
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`159315
dPortNumber`0`x`()->Join(SetCategory,etc)``PORTNUM`159604
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`159684
dPretendAst`0`x`()->Join(SpadSyntaxCategory,etc)``PRTDAST`159773
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`159825
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`160019
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`160164
dProperty`0`x`()->Join(CoercibleTo(OutputForm),etc)``PROPERTY`160211
dPropositionalFormula`1`x`(SetCategory)->Join(PropositionalLogic,etc)`(T)`PROPFRML`160372
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`160493
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`160556
dQuasiquoteAst`0`x`()->Join(SpadSyntaxCategory,etc)``QQUTAST`162275
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`162357
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`162660
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`162713
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`162757
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`162816
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`162961
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`163028
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Ring)->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`163264
dReduceAst`0`n`()->Join(SpadSyntaxCategory,etc)``RDUCEAST`163399
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`163451
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`163542
dRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(RegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`REGSET`163764
dRepeatAst`0`x`()->Join(SpadSyntaxCategory,etc)``RPTAST`164195
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`164254
dRestrictAst`0`x`()->Join(SpadSyntaxCategory,etc)``RSTRCAST`164456
dResult`0`x`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`164509
dReturnAst`0`x`()->Join(SpadSyntaxCategory,etc)``RETAST`164705
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`164756
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`164931
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`165028
dRoutinesTable`0`x`()->Join(TableAggregate(Symbol,Any),etc)``ROUTINE`165134
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`165253
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`165294
dRuntimeValue`0`n`()->Join(Type,etc)``RTVALUE`165363
dSExpressionOf`5`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory,Expr:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt,Expr)`(Str,Sym,Int,Flt,Expr)`SEXOF`165459
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat,OutputForm)``SEX`165545
dScope`0`x`()->Join(CoercibleTo(OutputForm),etc)``SCOPE`165613
dScriptFormulaFormat`0`x`()->Join(SetCategory,etc)``FORMULA`165768
dSegmentAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEGAST`166469
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`166520
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`166675
dSequenceAst`0`x`()->Join(SpadSyntaxCategory,etc)``SEQAST`166748
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`166801
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`167058
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`167733
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`167847
dSignatureAst`0`x`()->Join(SpadSyntaxCategory,etc)``SIGAST`168901
dSignature`0`x`()->Join(SetCategory,etc)``SIG`169117
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->MonogenicAlgebra(R,UP)`(R,UP,M)`SAE`169336
dSimpleFortranProgram`2`x`(R:SetCategory,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`169915
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`170187
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`170258
dSpadAst`0`n`()->SpadAstExports``SPADAST`170346
dSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`170601
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`170949
dSparseTable`3`n`(SetCategory,Ent:SetCategory,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`171241
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`171359
dSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`171919
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`172293
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`172864
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`173026
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`173607
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`174074
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`174697
dSquareFreeRegularTriangularSet`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(SquareFreeRegularTriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`SREGSET`175739
dSquareMatrix`2`n`(NonNegativeInteger,R:Ring)->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`176217
dStack`1`x`(Type)->Join(StackAggregate(S),etc)`(S)`STACK`176363
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`176407
dStringTable`1`n`(SetCategory)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`176577
dString`0`x`()->StringCategory``STRING`0
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`176688
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`176754
dSuchThatAst`0`x`()->Join(SpadSyntaxCategory,etc)``SUCHTAST`176786
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`176843
dSwitch`0`x`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`176890
dSymbolTable`0`x`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`177003
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`177073
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`177107
dSyntax`0`x`()->Join(UnionType,etc)``SYNTAX`177157
dSystemInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSINT`178019
dSystemNonNegativeInteger`1`n`(PositiveInteger)->Join(OrderedFinite,etc)`(N)`SYSNNI`178511
dSystem`0`n`()->Join(Type,etc)``SYSTEM`179005
dTable`2`n`(SetCategory,Entry:SetCategory)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`179112
dTableau`1`x`(SetCategory)->etc`(S)`TABLEAU`179336
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`179479
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`179610
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`180362
dTheSymbolTable`0`x`()->Join(CoercibleTo(OutputForm),etc)``SYMS`180500
dThreeDimensionalMatrix`1`x`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`180650
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`0
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`180733
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`180915
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`181077
dTuple`1`n`(Type)->Join(HomotopicTo(PrimitiveArray(S)),etc)`(S)`TUPLE`181224
dTwoDimensionalArray`1`n`(Type)->Join(TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R)),etc)`(R)`ARRAY2`181354
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`181472
dTypeAst`0`x`()->SpadSyntaxCategory``TYPEAST`181538
dUInt16`0`n`()->Join(OrderedFinite,etc)``UINT16`181579
dUInt32`0`n`()->Join(OrderedFinite,etc)``UINT32`181663
dUInt64`0`n`()->Join(OrderedFinite,etc)``UINT64`181747
dUInt8`0`n`()->Join(OrderedFinite,etc)``UINT8`181831
dUnion`1`x`special`(A,B,...,C)`union`181914
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`182062
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`182387
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`182934
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`183149
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`183477
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`184006
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`184564
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`184739
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`185207
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`185324
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`185363
dVoid`0`x`()->Join(CoercibleTo(OutputForm),etc)``VOID`185490
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`185714
dWhereAst`0`x`()->Join(SpadSyntaxCategory,etc)``WHEREAST`185976
dWhileAst`0`x`()->Join(SpadSyntaxCategory,etc)``WHILEAST`186041
dWuWenTsunTriangularSet`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->Join(TriangularSetCategory(R,E,V,P),etc)`(R,E,V,P)`WUTSET`186099
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCat(R,OrderedFreeMonoid(vl)),etc)`(vl,R)`XDPOLY`187136
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`187340
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`187624
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`187925
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`188192
dd01TransformFunctionType`0`x`()->NumericalIntegrationCategory``D01TRNS`0
dd01ajfAnnaType`0`x`()->NumericalIntegrationCategory``D01AJFA`188402
dd01akfAnnaType`0`x`()->NumericalIntegrationCategory``D01AKFA`188835
dd01alfAnnaType`0`x`()->NumericalIntegrationCategory``D01ALFA`189265
dd01amfAnnaType`0`x`()->NumericalIntegrationCategory``D01AMFA`189681
dd01anfAnnaType`0`x`()->NumericalIntegrationCategory``D01ANFA`190136
dd01apfAnnaType`0`x`()->NumericalIntegrationCategory``D01APFA`190603
dd01aqfAnnaType`0`x`()->NumericalIntegrationCategory``D01AQFA`191137
dd01asfAnnaType`0`x`()->NumericalIntegrationCategory``D01ASFA`191652
dd01fcfAnnaType`0`x`()->NumericalIntegrationCategory``D01FCFA`192145
dd01gbfAnnaType`0`x`()->NumericalIntegrationCategory``D01GBFA`192579
dd02bbfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02BBFA`193013
dd02bhfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02BHFA`193488
dd02cjfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02CJFA`193963
dd02ejfAnnaType`0`x`()->OrdinaryDifferentialEquationsSolverCategory``D02EJFA`194450
dd03eefAnnaType`0`x`()->PartialDifferentialEquationsSolverCategory``D03EEFA`194953
dd03fafAnnaType`0`x`()->PartialDifferentialEquationsSolverCategory``D03FAFA`195092
de04dgfAnnaType`0`x`()->NumericalOptimizationCategory``E04DGFA`195223
de04fdfAnnaType`0`x`()->NumericalOptimizationCategory``E04FDFA`195643
de04gcfAnnaType`0`x`()->NumericalOptimizationCategory``E04GCFA`196063
de04jafAnnaType`0`x`()->NumericalOptimizationCategory``E04JAFA`196483
de04mbfAnnaType`0`x`()->NumericalOptimizationCategory``E04MBFA`196903
de04nafAnnaType`0`x`()->NumericalOptimizationCategory``E04NAFA`197279
de04ucfAnnaType`0`x`()->NumericalOptimizationCategory``E04UCFA`197658
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`(_$)->NonNegativeInteger`dDomainTemplate``198078
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``198148
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``198207
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,ATTRIBUTE(finiteAggregate))`198254
o**`2`n`(BasicOperator,Integer)->_$`dOperator(R)``0
o**`2`n`(F,F)->F`pCombinatorialFunction(R,F)``198313
o**`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`198365
o**`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``198436
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)->_$`dFreeGroup(S)``198553
o**`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xMonoid&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,NonNegativeInteger)->_$`dFreeMonoid(S)``198631
o**`2`n`(S,NonNegativeInteger)->_$`dOrderedFreeMonoid(S)``198709
o**`2`n`(S,PositiveInteger)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,PositiveInteger)->S`xDivisionRing&(S)``0
o**`2`n`(S,PositiveInteger)->S`xGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
o**`2`n`(S,PositiveInteger)->S`xMonoid&(S)``0
o**`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSemiGroup&(S)``0
o**`2`n`(S,PositiveInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o**`2`n`(S,PositiveInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o**`2`n`(S,S)->S`xElementaryFunctionCategory&(S)``0
o**`2`n`(S,S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``198787
o**`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``198895
o**`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`199003
o**`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`199085
o**`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``199168
o**`2`n`(_$,Integer)->_$`dInputForm``199245
o**`2`n`(_$,Integer)->_$`dOperator(R)``0
o**`2`n`(_$,NonNegativeInteger)->_$`dInputForm``199320
o**`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``199395
o**`2`n`(_$,_$)->_$`dOutputForm``199450
o**`2`n`(_$,_$)->_$`dPattern(R)``199505
o**`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``199560
o**`2`x`(BasicOperator,Integer)->_$`dModuleOperator(R,M)``199660
o**`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`199693
o**`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``199914
o**`2`x`(_$,Integer)->_$`cDivisionRing``200000
o**`2`x`(_$,Integer)->_$`cGroup``200073
o**`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`200146
o**`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`200293
o**`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``200402
o**`2`x`(_$,NonNegativeInteger)->_$`cFunctionSpace(R)`has(R,SemiGroup)`200435
o**`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``200527
o**`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``200646
o**`2`x`(_$,NonNegativeInteger)->_$`cMonoid``200746
o**`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``200857
o**`2`x`(_$,PositiveInteger)->_$`cMonad``200928
o**`2`x`(_$,PositiveInteger)->_$`cSemiGroup``201028
o**`2`x`(_$,_$)->_$`cElementaryFunctionCategory``201139
o**`2`x`(_$,_$)->_$`dCardinalNumber``201197
o**`2`x`(_$,_$)->_$`dDoubleFloat``201307
o**`2`x`(_$,_$)->_$`dFloat``201400
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``201470
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``201606
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``201680
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`(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`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``201866
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`(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)``201897
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
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)->_$`dFreeModule1(R,S)``201993
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`dFreeGroup(S)``202081
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``202157
o*`2`n`(S,_$)->_$`dOrderedFreeMonoid(S)``202233
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``202309
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``202381
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``202517
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``202693
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``202758
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``202832
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``202914
o*`2`n`(_$,S)->_$`dFreeGroup(S)``202976
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``203053
o*`2`n`(_$,S)->_$`dOrderedFreeMonoid(S)``203130
o*`2`n`(_$,_$)->_$`dInputForm``203207
o*`2`n`(_$,_$)->_$`dMagma(VarSet)``203280
o*`2`n`(_$,_$)->_$`dOutputForm``203346
o*`2`n`(_$,_$)->_$`dPattern(R)``203400
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``203453
o*`2`x`(DoubleFloat,_$)->_$`dColor``203539
o*`2`x`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``203641
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)``203693
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`203736
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``203829
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``203897
o*`2`x`(PositiveInteger,_$)->_$`dColor``204057
o*`2`x`(R,Basis)->_$`cFreeModuleCat(R,Basis)``204159
o*`2`x`(R,_$)->_$`cDirectProductCategory(dim,R)`has(R,Monoid)`204221
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``204317
o*`2`x`(R,_$)->_$`cLeftLinearSet(R)``204365
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)``204428
o*`2`x`(R,_$)->_$`cVectorCategory(R)`has(R,Monoid)`204521
o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)``204617
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``204746
o*`2`x`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`204875
o*`2`x`(_$,Col)->Col`cMatrixCategory(R,Row,Col)``204973
o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``205105
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``205237
o*`2`x`(_$,R)->_$`cDirectProductCategory(dim,R)`has(R,Monoid)`205302
o*`2`x`(_$,R)->_$`cGradedModule(R,E)``205395
o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)``205444
o*`2`x`(_$,R)->_$`cRightLinearSet(R)``205540
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,Monoid)`205603
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``205696
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`205807
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``205905
o*`2`x`(_$,_$)->_$`cMonad``206021
o*`2`x`(_$,_$)->_$`cSemiGroup``206112
o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``206175
o*`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``206556
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``206630
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``206705
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``206958
o+`2`n`(_$,_$)->_$`dInputForm``207086
o+`2`n`(_$,_$)->_$`dOutputForm``207159
o+`2`n`(_$,_$)->_$`dPattern(R)``207213
o+`2`x`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``207266
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`207327
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``207420
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`207480
o+`2`x`(_$,_$)->_$`cAbelianSemiGroup``207573
o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``207633
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``207813
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`207925
o+`2`x`(_$,_$)->_$`dColor``208073
o+`2`x`(_$,_$)->_$`dDatabase(S)``208151
o+`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``208229
o-`1`n`(S)->S`xAbelianGroup&(S)``0
o-`1`n`(S)->S`xComplexCategory&(S,R)``0
o-`1`n`(S)->S`xGradedModule&(S,R,E)``0
o-`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`1`n`(S)->S`xOctonionCategory&(S,R)``0
o-`1`n`(S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`1`n`(S)->S`xQuaternionCategory&(S,R)``0
o-`1`n`(S)->S`xVectorCategory&(S,R)``0
o-`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``208314
o-`1`n`(_$)->_$`dOutputForm``208417
o-`1`x`(_$)->_$`cAbelianGroup``208470
o-`1`x`(_$)->_$`cGradedModule(R,E)``208522
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``208631
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`208692
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``208755
o-`2`n`(S,S)->S`xAbelianGroup&(S)``0
o-`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o-`2`n`(S,S)->S`xGradedModule&(S,R,E)``0
o-`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o-`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o-`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o-`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o-`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o-`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``209011
o-`2`n`(_$,_$)->_$`dOutputForm``209146
o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`209200
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`209300
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``209400
o-`2`x`(_$,_$)->_$`cAbelianGroup``209509
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``209604
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``209791
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`209910
o-`2`x`(_$,_$)->_$`dDatabase(S)``210065
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`x`(_$,_$)->_$`cLogic``210225
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(A,S)->_$`dLocalAlgebra(A,R,S)``210304
o/`2`n`(M,S)->_$`dLocalize(M,R,S)``210365
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xDirectProductCategory&(S,dim,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``210426
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``210615
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`210676
o/`2`n`(_$,S)->_$`dLocalAlgebra(A,R,S)``210717
o/`2`n`(_$,S)->_$`dLocalize(M,R,S)``210778
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`210839
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`210945
o/`2`n`(_$,_$)->_$`dInputForm``211051
o/`2`n`(_$,_$)->_$`dOutputForm``211124
o/`2`n`(_$,_$)->_$`dPattern(R)``211178
o/`2`x`(S,S)->_$`cQuotientFieldCategory(S)``211231
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`211305
o/`2`x`(_$,Integer)->_$`dDoubleFloat``211393
o/`2`x`(_$,Integer)->_$`dFloat``211472
o/`2`x`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`211551
o/`2`x`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`211614
o/`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`211701
o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`211788
o/`2`x`(_$,S)->_$`cVectorSpace(S)``211875
o/`2`x`(_$,_$)->_$`cField``211944
o/`2`x`(_$,_$)->_$`cGroup``212040
o/`2`x`(_$,_$)->_$`dEquation(S)`has(S,Field)`212112
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`dInputForm``0
o0`0`n`()->_$`dPattern(R)``0
o0`0`x`()->_$`cAbelianMonoid``0
o0`0`x`()->_$`cGradedModule(R,E)``0
o0`0`x`()->_$`cLeftLinearSet(R)``0
o0`0`x`()->_$`cRightLinearSet(R)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`dInputForm``0
o1`0`n`()->_$`dPattern(R)``0
o1`0`n`()->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``0
o1`0`x`()->_$`cGradedAlgebra(R,E)``0
o1`0`x`()->_$`cMonadWithUnit``0
o1`0`x`()->_$`cMonoid``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`n`(_$,_$)->_$`dOutputForm``212221
o<=`2`x`(_$,_$)->Boolean`cOrderedSet``212276
o<=`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``212326
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`(_$,_$)->_$`dOutputForm``212536
o<`2`x`(_$,_$)->Boolean`cOrderedSet``212590
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``212664
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``212818
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(_$,_$)->Boolean`dReference(S)``212921
o=`2`n`(_$,_$)->_$`dOutputForm``212980
o=`2`x`(S,S)->_$`dEquation(S)``213034
o=`2`x`(_$,_$)->Boolean`cBasicType``213072
o=`2`x`(_$,_$)->Boolean`dFortranScalarType``213131
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``213167
o>=`2`x`(_$,_$)->Boolean`cOrderedSet``213222
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(_$,_$)->_$`dOutputForm``213275
o>`2`x`(_$,_$)->Boolean`cOrderedSet``213329
oAND`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``213372
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``213465
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``213534
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``213567
oAnd`2`x`(_$,_$)->_$`dSingleInteger``213656
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)``213765
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``214365
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``214463
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``214555
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``214637
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``214674
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``214934
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``215194
oBeta`2`x`(_$,_$)->_$`dDoubleFloat``215259
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)``215324
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``215438
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``215485
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``215603
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`x`(_$)->_$`cDifferentialRing``215694
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``215837
oD`2`n`(A,List(S))->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(A,S)->A`xPartialDifferentialRing&(A,S)``0
oD`2`n`(S,(R)->R)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,List(Symbol))->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``0
oD`2`n`(S,Symbol)->S`xDifferentialExtension&(S,R)``0
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``215891
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``215984
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``216104
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``216173
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``216242
oD`3`n`(A,List(S),List(NonNegativeInteger))->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(A,S,NonNegativeInteger)->A`xPartialDifferentialRing&(A,S)``0
oD`3`n`(S,(R)->R,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,List(Symbol),List(NonNegativeInteger))->S`xDifferentialExtension&(S,R)``0
oD`3`n`(S,Symbol,NonNegativeInteger)->S`xDifferentialExtension&(S,R)``0
oD`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``216332
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``216457
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``216598
oEQ`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``216742
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``216832
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``216884
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``217005
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``217063
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``217121
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``217155
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``217241
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``217324
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`217364
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`217452
oGE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``217545
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``217634
oGT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``217765
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``217853
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``217929
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``218089
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``218249
oGamma`1`x`(_$)->_$`dDoubleFloat``218300
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``218351
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``218439
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``218497
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``219059
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``219179
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``219384
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``219808
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``219945
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`220073
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`220320
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`220567
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``220841
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``220930
oLT`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``221045
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``221133
oLazard2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``221189
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`221312
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`221495
oLazard`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``221642
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``221735
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``221896
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``221998
oListOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``222098
oListOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``222192
oListOfTerms`1`x`(_$)->List(Record(k:Basis,c:R))`cFreeModuleCat(R,Basis)``222285
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``222463
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``222672
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``222769
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``222868
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``223033
oNOT`1`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``223188
oNOT`1`x`(_$)->_$`dSwitch``223276
oNot`1`n`(_$)->_$`dIndexedBits(mn)``223364
oNot`1`x`(_$)->_$`dSingleInteger``223438
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``223531
oODESolve`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Result`cOrdinaryDifferentialEquationsSolverCategory``223626
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``223756
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``223839
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``223918
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``224010
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``224103
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``224126
oOMclose`1`x`(_$)->Void`dOpenMathDevice``224151
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``224236
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``224265
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``224295
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``224321
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``224403
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``224492
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``224687
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``224770
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``224854
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``224941
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``225024
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``225117
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``225197
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``225283
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``225372
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``225457
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``225552
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``225634
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``225716
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``225800
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``225880
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``225948
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``226021
oOMgetString`1`x`(_$)->String`dOpenMathDevice``226103
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``226173
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``226243
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``226330
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``226404
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``226474
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``226549
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``226573
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``226838
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``226971
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``227054
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``227140
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``227222
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``227314
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``227393
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``227478
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``227566
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``227650
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``227744
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``227825
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``227906
oOMputError`1`x`(_$)->Void`dOpenMathDevice``227989
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``228068
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``228156
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``228248
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``228329
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``228419
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``228545
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``228639
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``228737
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``228834
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``228932
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``229058
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``229152
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``229350
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``229502
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``229616
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``229775
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``229937
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``230053
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``230200
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``230442
oOR`2`x`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``230686
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``230777
oOr`2`x`(_$,_$)->_$`dSingleInteger``230864
oPDESolve`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Result`cPartialDifferentialEquationsSolverCategory``230971
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)``231101
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``231278
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``231388
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`231483
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``231544
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``231747
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``232017
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``232104
oSEGMENT`1`n`(_$)->_$`dOutputForm``232364
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``232425
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``232510
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``232573
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``232654
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``232800
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``232884
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``233011
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``233204
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``233285
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``233330
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``233446
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`233568
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``233846
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``233950
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``234220
oUP2ifCan`1`n`(UP)->Union(overq:SparseUnivariatePolynomial(Fraction(Integer)),overan:SparseUnivariatePolynomial(AlgebraicNumber),failed:Boolean)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``234281
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``234339
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``234439
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``234482
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``234691
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``234732
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``234800
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(S,S)->S`xLogic&(S)``0
o\/`2`x`(_$,_$)->_$`cLogic``234960
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``235039
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``235083
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``235124
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``235170
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``235218
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``235352
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`xOrderedRing&(S)``0
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`235429
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`235558
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`235646
oabs`1`x`(_$)->_$`cOrderedRing``235730
oabs`1`x`(_$)->_$`cRealNumberSystem``235791
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``235851
oabs`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``235912
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``235979
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``236061
oaccuracyIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``236143
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``236356
oacos`1`n`(F)->F`pElementaryFunction(R,F)``236445
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)``236515
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``236586
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``236657
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``236730
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``236805
oacos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``236863
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``236932
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``237023
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)``237105
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``237197
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``237289
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``237378
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``237469
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``237539
oacot`1`n`(F)->F`pElementaryFunction(R,F)``237628
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)``237701
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``237775
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``237849
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``237925
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``238003
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``238064
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``238155
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)``238240
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238335
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``238430
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``238522
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``238616
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``238689
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``238778
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)``238850
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``238923
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``238996
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239071
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``239148
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``239208
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``239299
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)``239383
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``239477
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``239571
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``239662
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``239755
oadaptive3D?`0`n`()->Boolean`dPlot3D``239827
oadaptive?`0`n`()->Boolean`dPlot``239903
oadaptive`0`x`()->Boolean`pGraphicsDefaults``239976
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``240054
oadaptive`1`x`(Boolean)->_$`dDrawOption``240163
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``240344
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``240552
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``240698
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``240850
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``241223
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``241461
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``241638
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``241926
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``242085
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``242865
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``243613
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``243841
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`243917
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``244100
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`244160
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`244233
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``244343
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``244415
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``244571
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``244727
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``244786
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``244858
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``245014
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``245170
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``245229
oalgSplitSimple`2`n`(S,(UP)->UP)->Record(num:S,den:UP,derivden:UP,gd:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oalgSplitSimple`2`x`(_$,(UP)->UP)->Record(num:_$,den:UP,derivden:UP,gd:UP)`cFunctionFieldCategory(F,UP,UPUP)``245541
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``245853
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``245971
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``246122
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``246306
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``246362
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``246511
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``246659
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``246804
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``246980
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``247074
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``247163
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``247252
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``247341
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``247430
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``247519
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``247608
oalphabetic?`1`x`(_$)->Boolean`dCharacter``247717
oalphabetic`0`x`()->_$`dCharacterClass``247832
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``247958
oalphanumeric`0`x`()->_$`dCharacterClass``248100
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``248230
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``248681
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``249044
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``249150
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``249388
oand`2`n`(_$,_$)->_$`dOutputForm``249626
oand`2`x`(_$,_$)->_$`cBitAggregate``249683
oand`2`x`(_$,_$)->_$`cPropositionalLogic``249785
oanfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(AlgebraicNumber)),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)`has(F,RetractableTo(AlgebraicNumber))`249868
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``249977
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250170
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``250363
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``250524
oantiCommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
oantiCommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``250685
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``250743
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``250781
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``250986
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`251191
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,ATTRIBUTE(commutative("*")))`251755
oany?`2`n`((Entry)->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((R)->Boolean,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oany?`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xCollection&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xHomogeneousAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oany?`2`n`((S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
oany?`2`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`252337
oany`2`x`(SExpression,None)->_$`dAny``252579
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``252769
oappend`2`x`(_$,_$)->_$`dList(S)``252949
oapplyQuote`2`n`(Symbol,List(S))->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`n`(Symbol,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`2`x`(Symbol,List(_$))->_$`cFunctionSpace(R)``253105
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``253180
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``253237
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``253299
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``253366
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``253438
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``253665
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``253793
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``254058
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``254215
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``254329
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``254457
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``254579
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``254893
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``255104
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(**,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`255204
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``255339
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``255477
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``255604
oarbitrary`0`x`()->_$`dArity``255736
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255819
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`255947
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`256089
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``257386
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``257438
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``257491
oargumentList!`1`x`(List(Symbol))->Void`dTheSymbolTable``257584
oargumentList!`2`x`(Symbol,List(Symbol))->Void`dTheSymbolTable``257714
oargumentList!`3`x`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``257843
oargumentListOf`2`x`(Symbol,_$)->List(Symbol)`dTheSymbolTable``257976
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``258050
oargument`1`n`(_$)->List(S)`dKernel(S)``258128
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`258194
oarguments`1`x`(_$)->List(Syntax)`dConstructorCall(C)``258274
oarity`1`n`(S)->Arity`xConstructorCategory&(S)``0
oarity`1`x`(_$)->Arity`cOperatorCategory(S)``258386
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``258455
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``259241
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259398
oasec`1`n`(F)->F`pElementaryFunction(R,F)``259487
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``259557
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``259628
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``259699
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``259772
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``259847
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259905
oasech`1`n`(F)->F`pElementaryFunction(R,F)``259996
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``260078
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``260170
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``260262
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``260351
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``260442
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``260512
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261298
oasin`1`n`(F)->F`pElementaryFunction(R,F)``261387
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``261455
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``261524
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``261593
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``261664
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``261737
oasin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``261793
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``261862
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``261953
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``262033
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``262123
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``262213
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``262300
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``262389
oaspFilename`1`x`(String)->String`pNAGLinkSupportPackage``262457
oassert`2`x`(F,Identifier)->F`pFunctionSpaceAssertions(R,F)``262610
oassert`2`x`(Symbol,Identifier)->Expression(Integer)`pPatternMatchAssertions``262718
oassert`2`x`(_$,Identifier)->_$`dBasicOperator``262790
oassign`2`n`(_$,_$)->_$`dOutputForm``262939
oassign`2`x`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``263014
oassign`2`x`(Symbol,Expression(Float))->_$`dFortranCode``263096
oassign`2`x`(Symbol,Expression(Integer))->_$`dFortranCode``263178
oassign`2`x`(Symbol,Expression(MachineComplex))->_$`dFortranCode``263260
oassign`2`x`(Symbol,Expression(MachineFloat))->_$`dFortranCode``263342
oassign`2`x`(Symbol,Expression(MachineInteger))->_$`dFortranCode``263424
oassign`2`x`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``263506
oassign`2`x`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``263588
oassign`2`x`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``263670
oassign`2`x`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``263752
oassign`2`x`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``263834
oassign`2`x`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``263916
oassign`2`x`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``263998
oassign`2`x`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``264080
oassign`2`x`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``264162
oassign`2`x`(Symbol,String)->_$`dFortranCode``264244
oassign`2`x`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``264326
oassign`2`x`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``264408
oassign`2`x`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``264490
oassign`2`x`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``264572
oassign`2`x`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``264654
oassign`2`x`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``264736
oassign`2`x`(Symbol,Vector(MachineComplex))->_$`dFortranCode``264818
oassign`2`x`(Symbol,Vector(MachineFloat))->_$`dFortranCode``264900
oassign`2`x`(Symbol,Vector(MachineInteger))->_$`dFortranCode``264982
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``265064
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``265232
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``265400
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``265568
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``265736
oassign`3`x`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``265904
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``266072
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`266228
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``266418
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`n`(S,S)->Boolean`xIntegralDomain&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cIntegralDomain``266562
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``266690
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``266770
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``266850
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`267191
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``267532
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``267596
oatan`1`n`(F)->F`pElementaryFunction(R,F)``267685
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)``267756
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``267828
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``267900
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``267974
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``268050
oatan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``268109
oatan`2`x`(_$,_$)->_$`dDoubleFloat``268178
oatan`2`x`(_$,_$)->_$`dFloat``268262
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``268346
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``268437
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)``268520
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``268613
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``268706
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``268796
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``268888
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``268959
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``269025
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``269118
oatt2Result`1`x`(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The botto--m of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))->Result`pExpertSystemToolsPackage``269912
oattributeData`1`n`(_$)->List(Pair(Syntax,NonNegativeInteger))`dFunctorData``269995
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``270130
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``270226
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``270396
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``270490
oautoCoerce`1`x`(_$)->AttributeAst`cSpadAstExports``270919
oautoCoerce`1`x`(_$)->CapsuleAst`cSpadAstExports``271032
oautoCoerce`1`x`(_$)->CaseAst`cSpadAstExports``271143
oautoCoerce`1`x`(_$)->CategoryAst`cSpadAstExports``271251
oautoCoerce`1`x`(_$)->CoerceAst`cSpadAstExports``271363
oautoCoerce`1`x`(_$)->CollectAst`cSpadAstExports``271473
oautoCoerce`1`x`(_$)->ColonAst`cSpadAstExports``271584
oautoCoerce`1`x`(_$)->ConstructAst`cSpadAstExports``271694
oautoCoerce`1`x`(_$)->DefinitionAst`cSpadAstExports``271807
oautoCoerce`1`x`(_$)->DoubleFloat`dSyntax``271921
oautoCoerce`1`x`(_$)->ExitAst`cSpadAstExports``272081
oautoCoerce`1`x`(_$)->HasAst`cSpadAstExports``272189
oautoCoerce`1`x`(_$)->Identifier`cSpadAstExports``272296
oautoCoerce`1`x`(_$)->Identifier`dSyntax``272407
oautoCoerce`1`x`(_$)->IfAst`cSpadAstExports``272578
oautoCoerce`1`x`(_$)->ImportAst`cSpadAstExports``272684
oautoCoerce`1`x`(_$)->InAst`cSpadAstExports``272794
oautoCoerce`1`x`(_$)->Integer`cSpadAstExports``272900
oautoCoerce`1`x`(_$)->Integer`dSyntax``273008
oautoCoerce`1`x`(_$)->IsAst`cSpadAstExports``273172
oautoCoerce`1`x`(_$)->LetAst`cSpadAstExports``273278
oautoCoerce`1`x`(_$)->MacroAst`cSpadAstExports``273385
oautoCoerce`1`x`(_$)->MappingAst`cSpadAstExports``273494
oautoCoerce`1`x`(_$)->PretendAst`cSpadAstExports``273605
oautoCoerce`1`x`(_$)->RepeatAst`cSpadAstExports``273716
oautoCoerce`1`x`(_$)->RestrictAst`cSpadAstExports``273826
oautoCoerce`1`x`(_$)->ReturnAst`cSpadAstExports``273938
oautoCoerce`1`x`(_$)->SegmentAst`cSpadAstExports``274048
oautoCoerce`1`x`(_$)->SequenceAst`cSpadAstExports``274159
oautoCoerce`1`x`(_$)->SignatureAst`cSpadAstExports``274271
oautoCoerce`1`x`(_$)->String`cSpadAstExports``274384
oautoCoerce`1`x`(_$)->String`dSyntax``274491
oautoCoerce`1`x`(_$)->SuchThatAst`cSpadAstExports``274653
oautoCoerce`1`x`(_$)->T`dMaybe(T)``274765
oautoCoerce`1`x`(_$)->WhereAst`cSpadAstExports``274902
oautoCoerce`1`x`(_$)->WhileAst`cSpadAstExports``275011
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``275120
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``275311
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``275400
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``275511
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``275740
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``275985
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``276243
oback`1`x`(_$)->S`cQueueAggregate(S)``276483
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``276631
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``276669
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``276707
obag`1`n`(List(S))->A`xBagAggregate&(A,S)``0
obag`1`x`(List(S))->_$`cBagAggregate(S)``276839
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``276936
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``277052
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``277228
obandedHessian`3`x`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``277384
obandedJacobian`4`x`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``277961
obaseRDE`2`n`(Fraction(UP),Fraction(UP))->Record(ans:Fraction(UP),nosol:Boolean)`pTranscendentalRischDE(F,UP)``278675
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``278882
obase`0`x`()->PositiveInteger`cFloatingPointSystem``279064
obase`0`x`()->_$`cIntegerNumberSystem``279154
obase`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``279242
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``279303
obase`1`x`(_$)->SpadAst`dAddAst``279365
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``279451
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`x`(List(P),(P)->Boolean,(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``279856
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``280073
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``280312
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``280468
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``280634
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``280758
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``280931
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281112
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281287
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``281496
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``281621
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``281795
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``281978
obasis`0`x`()->Vector(_$)`cFramedAlgebra(R,UP)``282060
obasis`0`x`()->Vector(_$)`cFramedNonAssociativeAlgebra(R)``282123
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``282186
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``282281
obasis`1`n`(_$)->Vector(A)`dFramedModule(R,F,UP,A,ibasis)``282353
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``282419
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`282516
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``282588
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``282681
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``282731
obefore?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
obefore?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
obefore?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
obefore?`2`n`(S,S)->Boolean`xSetCategory&(S)``0
obefore?`2`x`(_$,_$)->Boolean`cSetCategory``282831
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``282963
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``283107
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``283190
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``283270
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``283356
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``283417
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``283504
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`283591
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``283635
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``283941
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``284094
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``284183
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``284392
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``284601
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``284679
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``284768
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``284968
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``285168
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``285237
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``285326
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``285701
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``286077
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``286156
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``286245
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``286617
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``286989
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`287059
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``287195
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`287300
obfEntry`1`x`(Symbol)->Record(zeros:Stream(DoubleFloat),ones:Stream(DoubleFloat),singularities:Stream(DoubleFloat))`dBasicFunctions``287452
obfKeys`0`x`()->List(Symbol)`dBasicFunctions``287561
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``287659
obigEndian`0`n`()->_$`dByteOrder``288035
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``288085
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``288137
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``288185
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``288303
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``288408
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``288537
obinary`2`n`(_$,List(_$))->_$`dInputForm``288611
obinding`2`x`(Identifier,List(Property))->_$`dBinding``288719
obindings`1`x`(_$)->List(Binding)`dContour``288819
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,CommutativeRing)`288896
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``288993
obinomial`2`n`(Integer,RationalNumber)->()->Integer`pRandomIntegerDistributions``289168
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``289210
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``289308
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``289510
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``289698
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``289985
obirth`1`n`(_$)->_$`dSubSpace(n,R)``290224
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``290261
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``290356
obitLength`1`n`(Integer)->Integer`pIntegerBits``290432
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``290513
obitand`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``290606
obitand`2`n`(_$,_$)->_$`dUInt16``0
obitand`2`n`(_$,_$)->_$`dUInt32``0
obitand`2`n`(_$,_$)->_$`dUInt64``0
obitand`2`n`(_$,_$)->_$`dUInt8``0
obitand`2`x`(_$,_$)->_$`dByte``290688
obitior`2`n`(_$,_$)->_$`dSystemNonNegativeInteger(N)``290770
obitior`2`n`(_$,_$)->_$`dUInt16``0
obitior`2`n`(_$,_$)->_$`dUInt32``0
obitior`2`n`(_$,_$)->_$`dUInt64``0
obitior`2`n`(_$,_$)->_$`dUInt8``0
obitior`2`x`(_$,_$)->_$`dByte``290869
obits`0`x`()->PositiveInteger`cFloatingPointSystem``290968
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`291033
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``291126
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``291196
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``291310
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``291495
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``291707
oblock`1`x`(List(_$))->_$`dFortranCode``291802
oblue`0`x`()->_$`dColor``291892
oblue`1`x`(_$)->T`cRGBColorModel(T)``291967
obody`1`n`(_$)->SpadAst`dReduceAst``292033
obody`1`n`(_$)->Syntax`dAnonymousFunction``292101
obody`1`x`(_$)->List(SpadAst)`dCapsuleAst``292176
obody`1`x`(_$)->List(SpadAst)`dCategoryAst``292265
obody`1`x`(_$)->List(SpadAst)`dCommaAst``292346
obody`1`x`(_$)->List(SpadAst)`dSequenceAst``292415
obody`1`x`(_$)->SpadAst`dAddAst``292505
obody`1`x`(_$)->SpadAst`dCollectAst``292592
obody`1`x`(_$)->SpadAst`dDefinitionAst``292683
obody`1`x`(_$)->SpadAst`dMacroAst``292763
obody`1`x`(_$)->SpadAst`dRepeatAst``292843
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``292899
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``292983
obothWays`0`n`()->_$`dIOMode``293074
obottom!`1`x`(_$)->S`cDequeueAggregate(S)``293151
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`293233
obounds`1`x`(_$)->List(SpadAst)`dSegmentAst``293301
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``293460
obox`1`x`(List(_$))->_$`cExpressionSpace``293509
obox`1`x`(_$)->_$`cExpressionSpace``293810
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``294047
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``294223
obrace`1`n`(_$)->_$`dOutputForm``294354
obrace`1`x`(List(S))->_$`cSetAggregate(S)``294441
obracket`1`n`(List(_$))->_$`dOutputForm``294615
obracket`1`n`(_$)->_$`dOutputForm``294749
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pQuasiComponentPackage(R,E,V,P,TS)``294830
obranchIfCan`8`x`(List(P),TS,List(P),Boolean,Boolean,Boolean,Boolean,Boolean)->Union(Record(eq:List(P),tower:TS,ineq:List(P)),"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``295003
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``295176
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``295252
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``295331
obright`1`x`(Color)->_$`dPalette``295416
obright`1`x`(List(String))->List(String)`pDisplayPackage``295510
obright`1`x`(String)->List(String)`pDisplayPackage``295612
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``295701
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``295861
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``296162
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``296258
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``296395
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``296436
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)``296479
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``296739
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`297263
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``297306
obuildSyntax`2`x`(Identifier,List(_$))->_$`dSyntax``297351
obuildSyntax`2`x`(_$,List(_$))->_$`dSyntax``297449
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``297547
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``297588
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``297753
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``297894
obyteBuffer`1`x`(NonNegativeInteger)->_$`dByteBuffer``298035
obyte`1`x`(NonNegativeInteger)->_$`dByte``298118
obytes`1`x`(_$)->DataArray(4,Byte)`dIP4Address``298260
oc02aff`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``298336
oc02agf`4`x`(Matrix(DoubleFloat),Integer,Boolean,Integer)->Result`pNagPolynomialRootsPackage``298520
oc05adf`6`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagRootFindingPackage``298701
oc05nbf`6`x`(Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp6(FCN)))->Result`pNagRootFindingPackage``298936
oc05pbf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp35(FCN)))->Result`pNagRootFindingPackage``299153
oc06eaf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``299413
oc06ebf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``299607
oc06ecf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``299814
oc06ekf`5`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``300013
oc06fpf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``300204
oc06fqf`6`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``300478
oc06frf`7`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``300765
oc06fuf`8`x`(Integer,Integer,String,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301044
oc06gbf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301322
oc06gcf`3`x`(Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301452
oc06gqf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301596
oc06gsf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagSeriesSummationPackage``301745
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`301990
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302116
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302259
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302388
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302534
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302662
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302807
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`302933
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303076
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303200
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303341
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303468
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303612
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303734
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303868
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`303993
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304130
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304254
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304390
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304517
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304642
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304784
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`304889
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305011
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305145
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305265
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305397
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`305520
ocache`0`n`()->List(S)`pSortedCache(S)``305655
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``305714
ocallForm?`1`x`(_$)->Boolean`dElaboratedExpression``305756
ocall`1`x`(String)->_$`dFortranCode``305829
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``305904
ocapacity`1`x`(_$)->NonNegativeInteger`dByteBuffer``306016
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``306093
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``306136
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``306252
ocase`2`n`(_$,[||](false))->Boolean`dKleeneTrivalentLogic``306334
ocase`2`n`(_$,[||](true))->Boolean`dKleeneTrivalentLogic``306405
ocase`2`n`(_$,[||](unknown))->Boolean`dKleeneTrivalentLogic``306475
ocase`2`x`(_$,[||](AttributeAst))->Boolean`cSpadAstExports``306550
ocase`2`x`(_$,[||](CapsuleAst))->Boolean`cSpadAstExports``306629
ocase`2`x`(_$,[||](CaseAst))->Boolean`cSpadAstExports``306710
ocase`2`x`(_$,[||](CategoryAst))->Boolean`cSpadAstExports``306789
ocase`2`x`(_$,[||](CoerceAst))->Boolean`cSpadAstExports``306874
ocase`2`x`(_$,[||](CollectAst))->Boolean`cSpadAstExports``306957
ocase`2`x`(_$,[||](ColonAst))->Boolean`cSpadAstExports``307042
ocase`2`x`(_$,[||](ConstructAst))->Boolean`cSpadAstExports``307123
ocase`2`x`(_$,[||](DefinitionAst))->Boolean`cSpadAstExports``307207
ocase`2`x`(_$,[||](DoubleFloat))->Boolean`dSyntax``307287
ocase`2`x`(_$,[||](ExitAst))->Boolean`cSpadAstExports``307373
ocase`2`x`(_$,[||](HasAst))->Boolean`cSpadAstExports``307453
ocase`2`x`(_$,[||](Identifier))->Boolean`cSpadAstExports``307530
ocase`2`x`(_$,[||](Identifier))->Boolean`dSyntax``307608
ocase`2`x`(_$,[||](IfAst))->Boolean`cSpadAstExports``307693
ocase`2`x`(_$,[||](ImportAst))->Boolean`cSpadAstExports``307768
ocase`2`x`(_$,[||](InAst))->Boolean`cSpadAstExports``307853
ocase`2`x`(_$,[||](Integer))->Boolean`cSpadAstExports``307925
ocase`2`x`(_$,[||](Integer))->Boolean`dSyntax``308005
ocase`2`x`(_$,[||](IsAst))->Boolean`cSpadAstExports``308084
ocase`2`x`(_$,[||](LetAst))->Boolean`cSpadAstExports``308160
ocase`2`x`(_$,[||](MacroAst))->Boolean`cSpadAstExports``308245
ocase`2`x`(_$,[||](MappingAst))->Boolean`cSpadAstExports``308326
ocase`2`x`(_$,[||](PretendAst))->Boolean`cSpadAstExports``308405
ocase`2`x`(_$,[||](RepeatAst))->Boolean`cSpadAstExports``308490
ocase`2`x`(_$,[||](RestrictAst))->Boolean`cSpadAstExports``308568
ocase`2`x`(_$,[||](ReturnAst))->Boolean`cSpadAstExports``308655
ocase`2`x`(_$,[||](SegmentAst))->Boolean`cSpadAstExports``308737
ocase`2`x`(_$,[||](SequenceAst))->Boolean`cSpadAstExports``308822
ocase`2`x`(_$,[||](SignatureAst))->Boolean`cSpadAstExports``308912
ocase`2`x`(_$,[||](String))->Boolean`cSpadAstExports``308997
ocase`2`x`(_$,[||](String))->Boolean`dSyntax``309074
ocase`2`x`(_$,[||](SuchThatAst))->Boolean`cSpadAstExports``309150
ocase`2`x`(_$,[||](T))->Boolean`dMaybe(T)``309238
ocase`2`x`(_$,[||](WhereAst))->Boolean`cSpadAstExports``309330
ocase`2`x`(_$,[||](WhileAst))->Boolean`cSpadAstExports``309429
ocase`2`x`(_$,[||](nothing))->Boolean`dMaybe(T)``309507
ocategories`1`n`(_$)->PrimitiveArray(ConstructorCall(CategoryConstructor))`dFunctorData``309580
ocategories`1`x`(_$)->List(TypeAst)`dJoinAst``309714
ocategoryFrame`0`x`()->_$`dEnvironment``309784
ocategory`0`n`()->_$`dConstructorKind``309844
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``309899
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`309958
oceiling`1`x`(_$)->_$`cRealNumberSystem``310037
ocenter`1`n`(_$)->_$`dOutputForm``310100
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``310162
ocenter`2`n`(_$,Integer)->_$`dOutputForm``310249
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``310329
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``310609
ocentral?`3`x`(DoubleFloat,DoubleFloat,List(Expression(DoubleFloat)))->Boolean`pd03AgentsPackage``310922
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``310968
ocfirst`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``311207
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``311250
ochangeBase`3`x`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``311392
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``311447
ochangeMeasure`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``311598
ochangeNameToObjf`2`x`(Symbol,Result)->Result`pe04AgentsPackage``311706
ochangeName`3`x`(Symbol,Symbol,Result)->Result`pd01AgentsPackage``311813
ochangeThreshhold`3`x`(_$,Symbol,Float)->_$`dRoutinesTable``311928
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``312114
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``312197
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``312280
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``312425
ocharClass`1`x`(List(Character))->_$`dCharacterClass``312565
ocharClass`1`x`(String)->_$`dCharacterClass``312684
ochar`1`x`(NonNegativeInteger)->_$`dCharacter``312805
ochar`1`x`(String)->_$`dCharacter``312945
ocharacter?`1`x`(_$)->Boolean`dFortranScalarType``313026
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``313122
ocharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ocharacteristicPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`n`(S)->UP`xMonogenicAlgebra&(S,R,UP)``0
ocharacteristicPolynomial`1`x`(Matrix(Complex(Fraction(Integer))))->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``313231
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``313412
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``313585
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``313745
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``313894
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``314070
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``314267
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``314423
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``314708
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``314852
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``315277
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``315417
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
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``316207
ocharacteristic`0`x`()->NonNegativeInteger`cRing``316278
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``316486
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``316733
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`316851
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``316972
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``317098
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``317390
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``317579
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``317866
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``318050
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``318305
ocheckPrecision`0`x`()->Boolean`pNAGLinkSupportPackage``318576
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``318623
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``318742
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``318868
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``318904
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``318946
ochild?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
ochild?`2`n`(A,A)->Boolean`xRecursiveAggregate&(A,S)``0
ochild?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`318987
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``319065
ochildren`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
ochildren`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
ochildren`1`n`(_$)->List(_$)`dSubSpace(n,R)``319104
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``319144
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``319224
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``319481
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)``319769
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``319823
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``320018
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``320056
oclearCache`0`n`()->Void`pSortedCache(S)``320409
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``320455
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``320620
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``320785
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``320930
oclearFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``321079
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``321151
oclearTheFTable`0`x`()->Void`dIntegrationFunctionsTable``321246
oclearTheIFTable`0`x`()->Void`dODEIntensityFunctionsTable``321316
oclearTheSymbolTable`0`x`()->Void`dTheSymbolTable``321397
oclearTheSymbolTable`1`x`(Symbol)->Void`dTheSymbolTable``321466
oclikeUniv`1`n`(Symbol)->(Polynomial(R))->SparseUnivariatePolynomial(Polynomial(R))`pWeierstrassPreparation(R)``321546
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``321593
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``321807
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``322176
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``322573
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``322667
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``322832
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323135
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323481
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``323756
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324037
oclip`1`x`(Boolean)->_$`dDrawOption``324321
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``324485
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``324643
oclose!`1`x`(_$)->_$`cConduit``324952
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``325086
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``325164
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``325629
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``325833
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``326041
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``326080
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``326119
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``326198
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``326434
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``326697
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``327040
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``327571
ocn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``327836
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`327932
ocode`1`x`(_$)->Union(nullBranch:"null",assignmentBranch:Record(var:Symbol,arrayIndex:List(Polynomial(Integer)),rand:Record(ints2Floats?:Boolean,expr:OutputForm)),arrayAssignmentBranch:Record(var:Symbol,rand:OutputForm,ints2Floats?:Boolean),conditionalBranch:Record(switch:Switch,thenClause:_$,elseClause:_$),returnBranch:Record(empty?:Boolean,value:Record(ints2Floats?:Boolean,expr:OutputForm)),blockBranch:List(_$),commentBranch:List(String),callBranch:String,forBranch:Record(range:SegmentBinding(--Polynomial(Integer)),span:Polynomial(Integer),body:_$),labelBranch:SingleInteger,loopBranch:Record(switch:Switch,body:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``328041
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``328138
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``328179
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``328295
ocoef`2`x`(_$,OrderedFreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``328462
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``328544
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``328674
ocoefficient`2`n`(_$,M)->R`dMonoidRing(R,M)``328719
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``328845
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``328919
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``329110
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``329329
ocoefficient`2`x`(_$,Basis)->R`cFreeModuleCat(R,Basis)``329486
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``329566
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,Q)``329733
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``329847
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cMonogenicLinearOperator(R)``329921
ocoefficient`2`x`(_$,NonNegativeInteger)->R`cUnivariateSkewPolynomialCategory(R)``330028
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`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``330135
ocoefficient`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``330261
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``330476
ocoefficient`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``330560
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(R)`dMonoidRing(R,M)``330715
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``330778
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``331119
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCat(R,Basis)``331213
ocoefficients`1`x`(_$)->List(R)`cUnivariateSkewPolynomialCategory(R)``331289
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``331381
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`331531
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`331843
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``332155
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``332284
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``332578
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``332711
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``332925
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)``333045
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``333132
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(Fraction(R))))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(Polynomial(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Fraction(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(GraphImage)->TwoDimensionalViewport`pViewportPackage``333219
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`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``333354
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``333412
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``333683
ocoerce`1`n`(List(Record(coef:R,monom:M)))->_$`dMonoidRing(R,M)``334194
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
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)->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`(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)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
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)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``334288
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``334370
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Syntax)->S`xAbstractSyntaxCategory&(S)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``334442
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``334580
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``334718
ocoerce`1`n`(V)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ocoerce`1`n`(Var)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``334827
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``334892
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``334932
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``335021
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``335123
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``335212
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``335314
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``335488
ocoerce`1`n`(_$)->Magma(VarSet)`dLyndonWord(VarSet)``335629
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dLyndonWord(VarSet)``335745
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dMagma(VarSet)``335873
ocoerce`1`n`(_$)->OrderedFreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``336025
ocoerce`1`n`(_$)->OutputForm`dGraphImage``336176
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``336324
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``336506
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``336544
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``336582
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``336620
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``336663
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``336752
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``336838
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``336927
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``337011
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``337094
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``337257
ocoerce`1`x`(Character)->_$`cStringAggregate``337414
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``337505
ocoerce`1`x`(Color)->_$`dPalette``337582
ocoerce`1`x`(Complex(Float))->_$`dMachineComplex``337686
ocoerce`1`x`(Complex(Integer))->_$`dMachineComplex``337752
ocoerce`1`x`(Complex(MachineFloat))->_$`dMachineComplex``337818
ocoerce`1`x`(Complex(MachineInteger))->_$`dMachineComplex``337884
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``337950
ocoerce`1`x`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``338009
ocoerce`1`x`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338050
ocoerce`1`x`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338091
ocoerce`1`x`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338132
ocoerce`1`x`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338173
ocoerce`1`x`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338214
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``338255
ocoerce`1`x`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``338412
ocoerce`1`x`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``338452
ocoerce`1`x`(Expression(Integer))->Expression(_$)`dMachineInteger``338492
ocoerce`1`x`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``338565
ocoerce`1`x`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``338605
ocoerce`1`x`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``338645
ocoerce`1`x`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``338685
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``338725
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``339186
ocoerce`1`x`(FortranCode)->_$`cFortranFunctionCategory``339650
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixCategory``339767
ocoerce`1`x`(FortranCode)->_$`cFortranMatrixFunctionCategory``339884
ocoerce`1`x`(FortranCode)->_$`cFortranVectorCategory``340001
ocoerce`1`x`(FortranCode)->_$`cFortranVectorFunctionCategory``340118
ocoerce`1`x`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``340235
ocoerce`1`x`(FortranExpression(construct('X),construct('Y),MachineFloat))->_$`dAsp9(name)``340276
ocoerce`1`x`(FortranExpression(construct('X),construct,MachineFloat))->_$`dAsp1(name)``340409
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp4(name)``340542
ocoerce`1`x`(FortranExpression(construct,construct('X),MachineFloat))->_$`dAsp49(name)``340675
ocoerce`1`x`(FortranExpression(construct,construct('XC),MachineFloat))->_$`dAsp24(name)``340808
ocoerce`1`x`(FortranScalarType)->_$`dFortranType``340941
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``341003
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``341070
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``341362
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`341512
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`341574
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``341636
ocoerce`1`x`(Integer)->_$`dOrdSetInts``341716
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``341786
ocoerce`1`x`(List(FortranCode))->_$`cFortranFunctionCategory``341879
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixCategory``342001
ocoerce`1`x`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``342123
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorCategory``342245
ocoerce`1`x`(List(FortranCode))->_$`cFortranVectorFunctionCategory``342367
ocoerce`1`x`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``342489
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``342531
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``342855
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``342957
ocoerce`1`x`(List(S))->_$`dPermutation(S)``343041
ocoerce`1`x`(List(TypeAst))->_$`dImportAst``343269
ocoerce`1`x`(List(TypeAst))->_$`dJoinAst``343342
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``343409
ocoerce`1`x`(MachineInteger)->_$`dMachineFloat``343493
ocoerce`1`x`(Matrix(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp77(name)``343565
ocoerce`1`x`(Matrix(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp74(name)``343698
ocoerce`1`x`(Matrix(FortranExpression(construct('XL,'XR,'ELAM),construct,MachineFloat)))->_$`dAsp80(name)``343831
ocoerce`1`x`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``343964
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``344041
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``344131
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``344200
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``344326
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`344427
ocoerce`1`x`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``344489
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``344618
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``344704
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``344794
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->_$`dNumericalOptimizationProblem``344860
ocoerce`1`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``344900
ocoerce`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->_$`dNumericalOptimizationProblem``344940
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``344980
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``345172
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``345364
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``345556
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``345748
ocoerce`1`x`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``345940
ocoerce`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->_$`dNumericalPDEProblem``345980
ocoerce`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalIntegrationProblem``346020
ocoerce`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->_$`dNumericalODEProblem``346060
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``346100
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``346203
ocoerce`1`x`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``346284
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``346557
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``346784
ocoerce`1`x`(S)->_$`cCoercibleFrom(S)``347119
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``347190
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``347286
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``347361
ocoerce`1`x`(Signature)->_$`dMappingAst``347495
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``347564
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`347636
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``347698
ocoerce`1`x`(String)->_$`dFortranScalarType``347757
ocoerce`1`x`(String)->_$`dIndexCard``348046
ocoerce`1`x`(Symbol)->_$`dFortranScalarType``348219
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``348483
ocoerce`1`x`(Symbol)->_$`dSwitch``348727
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``348767
ocoerce`1`x`(Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat)))->_$`dNumericalIntegrationProblem``348830
ocoerce`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->_$`dNumericalOptimizationProblem``348870
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``348910
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``348987
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``349065
ocoerce`1`x`(Vector(FortranExpression(construct('EPS),construct('YA,'YB),MachineFloat)))->_$`dAsp42(nameOne,nameTwo,nameThree)``349154
ocoerce`1`x`(Vector(FortranExpression(construct('JINT,'X,'ELAM),construct,MachineFloat)))->_$`dAsp10(name)``349287
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp31(name)``349420
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct('Y),MachineFloat)))->_$`dAsp7(name)``349553
ocoerce`1`x`(Vector(FortranExpression(construct('X),construct,MachineFloat)))->_$`dAsp78(name)``349686
ocoerce`1`x`(Vector(FortranExpression(construct('X,'EPS),construct('Y),MachineFloat)))->_$`dAsp41(nameOne,nameTwo,nameThree)``349819
ocoerce`1`x`(Vector(FortranExpression(construct('X,'Y),construct,MachineFloat)))->_$`dAsp73(name)``349952
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp35(name)``350085
ocoerce`1`x`(Vector(FortranExpression(construct,construct('X),MachineFloat)))->_$`dAsp55(name)``350218
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp19(name)``350351
ocoerce`1`x`(Vector(FortranExpression(construct,construct('XC),MachineFloat)))->_$`dAsp50(name)``350484
ocoerce`1`x`(Vector(MachineFloat))->_$`cFortranVectorCategory``350617
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``350694
ocoerce`1`x`(_$)->Complex(Float)`dMachineComplex``350901
ocoerce`1`x`(_$)->DoubleFloat`dSyntax``350966
ocoerce`1`x`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``351041
ocoerce`1`x`(_$)->Float`dMachineFloat``351081
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``351151
ocoerce`1`x`(_$)->Identifier`dSyntax``351253
ocoerce`1`x`(_$)->Integer`dSyntax``351328
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``351406
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``351477
ocoerce`1`x`(_$)->OutputForm`dTableau(S)``351562
ocoerce`1`x`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``351633
ocoerce`1`x`(_$)->SExpression`dFortranScalarType``351706
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``351787
ocoerce`1`x`(_$)->String`dSyntax``351853
ocoerce`1`x`(_$)->Symbol`dFortranScalarType``351929
ocoerce`1`x`(_$)->Table(Symbol,FortranType)`dSymbolTable``351997
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``352054
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``352138
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``352222
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``352264
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``353025
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`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``353173
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`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``353337
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``353504
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``353656
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``353965
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``354148
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``354356
ocolor`1`n`(Point(R))->R`pPointPackage(R)``354580
ocolor`1`x`(Integer)->_$`dColor``354893
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``354963
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``355089
ocombineFeatureCompatibility`2`x`(Float,Float)->Float`pd02AgentsPackage``355211
ocombineFeatureCompatibility`2`x`(Float,List(Float))->Float`pd02AgentsPackage``355290
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``355368
ocommaSeparate`1`x`(List(String))->String`pd01AgentsPackage``355463
ocomment`1`x`(List(String))->_$`dFortranCode``355552
ocomment`1`x`(String)->_$`dFortranCode``355659
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``355761
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``355877
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``355993
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``356096
ocommon`2`x`(Symbol,List(Symbol))->_$`dFortranCode``356203
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``356286
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``356370
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``356454
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`x`(_$,_$)->_$`cGroup``356571
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``356642
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``356696
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``356938
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``356982
ocompanionBlocks`2`n`(Matrix(K),Vector(K))->List(Record(C:Matrix(K),g:Vector(K)))`pPseudoLinearNormalForm(K)``357183
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``357347
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``357596
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``357635
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``357958
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``358149
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`358357
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``358488
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``358608
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``359003
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``359272
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``359474
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``359643
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``359840
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``360079
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``360226
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``360290
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``360439
ocomplex?`1`x`(_$)->Boolean`dFortranScalarType``360692
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``360784
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``361030
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``361396
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``361541
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``361686
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``361868
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``362050
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``362146
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``362242
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``362304
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``362366
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`362489
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``362612
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``362703
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``362827
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``362951
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``363067
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``363183
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``363321
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`363459
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`363594
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`363729
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`363864
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`363999
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`364132
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`364267
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`364435
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`364603
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`364771
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`364909
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`365077
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`365245
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365322
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365399
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`365476
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`365553
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`365630
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`365707
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``365784
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`365861
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`365971
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366081
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`366191
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`366301
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`366380
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`366490
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``366600
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``366710
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``366892
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``367204
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``367442
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``367662
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``367895
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``368117
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``368316
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``368449
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``368654
ocomponentUpperBound`0`x`()->T`cRGBColorModel(T)``368710
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``368781
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``369101
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``369576
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``369901
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``370142
ocompose`2`x`(UP,UP)->UP`pPolynomialComposition(UP,R)``370236
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``370277
ocomposite`2`n`(Fraction(S),S)->Union(Fraction(S),"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`n`(S,S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
ocomposite`2`x`(Fraction(_$),_$)->Union(Fraction(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`370476
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`370600
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``370707
ocompound?`1`x`(_$)->Boolean`dSyntax``371056
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``371138
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``371179
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``371368
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``371537
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``371949
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`x`(_$,S)->_$`cExtensibleLinearAggregate(S)``371993
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`372080
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`372231
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``372366
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`372470
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`x`(List(Result))->Result`pExpertSystemToolsPackage``372633
oconcat`1`x`(List(_$))->_$`cLinearAggregate(S)``372718
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``373068
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`x`(Result,Result)->Result`pExpertSystemToolsPackage``373204
oconcat`2`x`(S,_$)->_$`cLinearAggregate(S)``373278
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``373463
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``373701
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``373894
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``374264
oconcat`2`x`(_$,_$)->_$`dRoutinesTable``374444
ocond`2`x`(Switch,_$)->_$`dFortranCode``374510
ocond`3`x`(Switch,_$,_$)->_$`dFortranCode``374614
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`x`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``374734
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`374947
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``375216
ocondition`1`x`(_$)->SpadAst`dIfAst``375295
ocondition`1`x`(_$)->SpadAst`dWhileAst``375370
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`375446
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``375622
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``375799
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`375976
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``376185
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``376395
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``376478
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`376816
oconjugate`1`n`(S)->S`xComplexCategory&(S,R)``0
oconjugate`1`n`(S)->S`xOctonionCategory&(S,R)``0
oconjugate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
oconjugate`1`n`(_$)->_$`dPartition``376871
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``376954
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``377027
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``377102
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``377254
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``377333
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``377433
oconnectTo`2`x`(Hostname,PortNumber)->Maybe(_$)`dInetClientStreamSocket``0
oconnectTo`2`x`(T,PortNumber)->Maybe(_$)`cNetworkClientSocket(T)``0
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``377541
ocons`2`x`(S,_$)->_$`dList(S)``377819
ocons`2`x`(S,_$)->_$`dStream(S)``377987
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``378132
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``378173
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``378394
oconstant?`1`n`(_$)->Boolean`dPattern(R)``378498
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``378575
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``378673
oconstant?`1`x`(_$)->Boolean`dElaboratedExpression``378745
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``378814
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``379252
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``379297
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``379343
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``379443
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``379589
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``379704
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``379805
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``380031
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``380095
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``380182
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``380346
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``380474
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``380539
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``380675
oconstruct`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
oconstruct`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xLazyStreamAggregate&(A,S)``0
oconstruct`1`n`(List(S))->A`xOneDimensionalArrayAggregate&(A,S)``0
oconstruct`1`n`(Record(val:V,tower:C))->_$`dSplittingNode(V,C)``380813
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``380920
oconstruct`1`x`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``381268
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``381367
oconstruct`1`x`(List(S))->_$`cCollection(S)``381422
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``381745
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``381812
oconstruct`2`n`(Identifier,Signature)->_$`dOperatorSignature``381855
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``381966
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``382067
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``382168
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``382221
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``382341
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``382475
oconstruct`2`x`(S,T)->_$`dPair(S,T)``382576
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``382667
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``382779
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``382923
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``383182
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``383388
oconstruct`3`x`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``383457
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``383526
oconstructor`1`n`(_$)->CategoryConstructor`dCategory``383821
oconstructor`1`x`(_$)->C`dConstructorCall(C)``383935
oconstructor`1`x`(_$)->DomainConstructor`dDomain``384023
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``384137
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``384283
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`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`384363
ocontent`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`384453
ocontent`2`n`(S,SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocontent`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`384538
ocontinue`1`x`(SingleInteger)->_$`dFortranCode``384835
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``384931
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``385043
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``385155
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``385303
ocontours`1`x`(_$)->List(Contour)`dScope``385529
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``385603
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``385874
ocontract`2`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl,nv)``386169
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``386268
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``386602
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``387031
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``387271
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``387515
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``387699
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``387780
oconvert`1`n`(List(_$))->_$`dPattern(R)``387897
oconvert`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oconvert`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``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`(SExpression)->_$`dInputForm``387972
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`388032
oconvert`1`x`(List(Segment(OrderedCompletion(Float))))->List(Segment(OrderedCompletion(DoubleFloat)))`pExpertSystemToolsPackage``388208
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``388359
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``388403
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`388447
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`388527
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`388607
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``388687
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`388731
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(Record(val:List(P),tower:TS))->String`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oconvert`1`x`(S)->_$`cConvertibleFrom(S)``388908
oconvert`1`x`(SExpression)->_$`dSyntax``388980
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``389201
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``389245
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``389305
oconvert`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``389459
oconvert`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``389604
oconvert`1`x`(_$)->SExpression`dSyntax``389766
oconvert`1`x`(_$)->S`cConvertibleTo(S)``389851
oconvert`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``389918
oconvert`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``390028
oconvert`2`x`(OutputForm,Integer)->_$`dScriptFormulaFormat``390138
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``390426
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``390703
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``391001
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``391133
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``391167
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``391369
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``391582
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``391800
ocoordinates`1`n`(S)->Vector(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(S)->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``392014
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``392165
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedAlgebra(R,UP)``392385
ocoordinates`1`x`(Vector(_$))->Matrix(R)`cFramedNonAssociativeAlgebra(R)``392605
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``392774
ocoordinates`1`x`(_$)->Vector(R)`cFramedAlgebra(R,UP)``392893
ocoordinates`1`x`(_$)->Vector(R)`cFramedNonAssociativeAlgebra(R)``393007
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`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``393121
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``393269
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``393503
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``393706
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``393824
ocopies`2`x`(Integer,String)->String`pDisplayPackage``393972
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``394091
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`394234
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`(_$)->_$`dPattern(R)``394352
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``394412
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``394470
ocopy`1`x`(_$)->_$`cAggregate``394506
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``394677
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``394725
ocopy`1`x`(_$)->_$`dBasicOperator``394818
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)``394870
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``394926
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``395024
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``395111
ocos`1`n`(E)->_$`dFourierComponent(E)``395343
ocos`1`n`(F)->F`pElementaryFunction(R,F)``395409
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``395470
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``395537
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``395604
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``395672
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``395742
ocos`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``395795
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``395862
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``395964
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``396053
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``396126
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``396209
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``396292
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``396372
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``396454
ocosh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``396519
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``396588
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``396686
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``396790
ocot`1`n`(F)->F`pElementaryFunction(R,F)``396877
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``396941
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397011
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``397081
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``397152
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``397225
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``397281
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``397383
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``397492
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``397581
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``397657
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``397743
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``397829
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``397912
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``397997
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`398065
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``398172
ocount`2`n`((Entry)->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((R)->Boolean,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`((S)->Boolean,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`n`(Entry,S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(R,S)->NonNegativeInteger`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocount`2`n`(Record(key:Key,entry:Entry),S)->NonNegativeInteger`xTableAggregate&(S,Key,Entry)``0
ocount`2`n`(S,A)->NonNegativeInteger`xCollection&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xHomogeneousAggregate&(A,S)``0
ocount`2`n`(S,A)->NonNegativeInteger`xOneDimensionalArrayAggregate&(A,S)``0
ocount`2`x`((S)->Boolean,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`398242
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`398495
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``398683
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``398821
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``398963
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``399105
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``399302
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``399463
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``399817
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``400025
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``400145
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`400438
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``400709
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``400843
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``401066
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``401177
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``401382
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``401522
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``401631
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``401790
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402226
ocrest`1`n`(NonNegativeInteger)->(Stream(Polynomial(R)))->Stream(Polynomial(R))`pWeierstrassPreparation(R)``402262
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402304
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402338
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402375
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402414
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402448
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402486
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``402520
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``402559
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``402779
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`402929
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``403079
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``403328
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``403426
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``403520
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``403583
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``403652
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``403721
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``403791
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``403863
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``403918
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``404020
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``404109
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``404184
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``404269
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``404354
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``404436
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``404520
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``404587
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``404638
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``404675
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``404718
ocurrentCategoryFrame`0`x`()->_$`dScope``404909
ocurrentEnv`0`x`()->_$`dEnvironment``404994
ocurrentScope`0`x`()->_$`dScope``405043
ocurrentSubProgram`0`x`()->Symbol`dTheSymbolTable``405110
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``405203
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``405302
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``405402
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``405491
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``405716
ocurveColor`1`x`(Float)->_$`dDrawOption``405942
ocurveColor`1`x`(Palette)->_$`dDrawOption``406085
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``406255
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``406445
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``406684
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``406785
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``407140
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``407305
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``407425
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``407572
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``407708
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``407848
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``407991
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`408210
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``408616
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``408706
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``408933
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``409263
ocyclic?`1`x`(_$)->Boolean`dTree(S)``409319
ocyclicCopy`1`x`(_$)->_$`dTree(S)``409380
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``409459
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``409543
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``409629
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``409810
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``409928
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`410014
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``410651
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``410747
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``410804
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``410861
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``410905
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``411109
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``411153
od01ajf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``411384
od01akf`8`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``411638
od01alf`10`x`(DoubleFloat,DoubleFloat,Integer,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``411952
od01amf`8`x`(DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(F)))->Result`pNagIntegrationPackage``412218
od01anf`10`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``412460
od01apf`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``412678
od01aqf`9`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``412958
od01asf`9`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Union(fn:FileName,fp:Asp1(G)))->Result`pNagIntegrationPackage``413167
od01bbf`6`x`(DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer)->Result`pNagIntegrationPackage``413380
od01fcf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``413625
od01gaf`4`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer)->Result`pNagIntegrationPackage``413925
od01gbf`10`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp4(FUNCTN)))->Result`pNagIntegrationPackage``414239
od02bbf`10`x`(DoubleFloat,Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``414593
od02bhf`10`x`(DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)))->Result`pNagOrdinaryDifferentialEquationsPackage``414926
od02cjf`11`x`(DoubleFloat,Integer,Integer,DoubleFloat,String,DoubleFloat,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``415256
od02ejf`13`x`(DoubleFloat,Integer,Integer,String,Integer,DoubleFloat,Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp9(G)),Union(fn:FileName,fp:Asp7(FCN)),Union(fn:FileName,fp:Asp31(PEDERV)),Union(fn:FileName,fp:Asp8(OUTPUT)))->Result`pNagOrdinaryDifferentialEquationsPackage``415694
od02gaf`13`x`(Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp7(FCN)))->Result`pNagOrdinaryDifferentialEquationsPackage``416213
od02gbf`15`x`(DoubleFloat,DoubleFloat,Integer,DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp77(FCNF)),Union(fn:FileName,fp:Asp78(FCNG)))->Result`pNagOrdinaryDifferentialEquationsPackage``416517
od02kef`13`x`(Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp10(COEFFN)),Union(fn:FileName,fp:Asp80(BDYVAL)))->Result`pNagOrdinaryDifferentialEquationsPackage``416788
od02kef`15`x`(Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Union(fn:FileName,fp:Asp10(COEFFN)),Union(fn:FileName,fp:Asp80(BDYVAL)),FileName,FileName)->Result`pNagOrdinaryDifferentialEquationsPackage``417413
od02raf`17`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Union(fn:FileName,fp:Asp41(FCN,JACOBF,JACEPS)),Union(fn:FileName,fp:Asp42(G,JACOBG,JACGEP)))->Result`pNagOrdinaryDifferentialEquationsPackage``418059
od03edf`10`x`(Integer,Integer,Integer,Integer,DoubleFloat,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``418400
od03eef`11`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,String,Integer,Union(fn:FileName,fp:Asp73(PDEF)),Union(fn:FileName,fp:Asp74(BNDY)))->Result`pNagPartialDifferentialEquationsPackage``418706
od03faf`24`x`(DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,ThreeDimensionalMatrix(DoubleFloat),Integer)->Result`pNagPartialDifferentialEquationsPackage``418925
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``419325
odark`1`x`(Color)->_$`dPalette``419759
odatalist`1`x`(List(S))->_$`dDataList(S)``419858
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``419917
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``420206
odebug`1`n`(Boolean)->Boolean`dPlot``420299
odec`1`x`(_$)->_$`cIntegerNumberSystem``420386
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``420429
odeclare!`2`x`(Symbol,FortranType)->FortranType`dTheSymbolTable``420505
odeclare!`3`x`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``420629
odeclare!`3`x`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``420747
odeclare!`3`x`(Symbol,FortranType,_$)->FortranType`dSymbolTable``420848
odeclare!`4`x`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``420959
odeclare!`4`x`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``421103
odeclare`1`n`(List(_$))->Symbol`dInputForm``421246
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``421595
odecompose`1`x`(UP)->List(UP)`pPolynomialDecomposition(UP,F)``421816
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``421858
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``421940
odecompose`3`x`(UP,NonNegativeInteger,NonNegativeInteger)->Union(Record(left:UP,right:UP),"failed")`pPolynomialDecomposition(UP,F)``422292
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecompose`7`x`(List(P),List(TS),Boolean,Boolean,Boolean,Boolean,Boolean)->List(TS)`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
odecreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`422338
odecrease`1`x`(String)->Float`dAttributeButtons``422478
odecrease`2`x`(String,String)->Float`dAttributeButtons``422751
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``423053
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``423093
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``423137
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``423316
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``423619
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``424091
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``424234
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``424375
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``424469
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`424571
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``424714
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`424828
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``424922
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``425087
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``425375
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``425572
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`(_$)->Integer`dDeRhamComplex(CoefRing,listIndVar)``425692
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``425780
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``425818
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``425886
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``426055
odegree`1`x`(_$)->E`cGradedModule(R,E)``426142
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``426263
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``426346
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``426487
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``426614
odegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``426720
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``426817
odegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``426923
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``427020
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``427136
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``427223
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``427326
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``427515
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)``427639
odegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``427745
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``427882
odegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``428062
odelay`1`x`(()->_$)->_$`dStream(S)``428167
odelete!`2`n`(A,Integer)->A`xListAggregate&(A,S)``0
odelete!`2`n`(A,UniversalSegment(Integer))->A`xListAggregate&(A,S)``0
odelete!`2`x`(_$,Integer)->_$`cExtensibleLinearAggregate(S)``428320
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``428413
odeleteProperty!`2`x`(_$,Identifier)->_$`dBasicOperator``428519
odeleteProperty!`2`x`(_$,String)->_$`dBasicOperator``428681
odeleteRoutine!`2`x`(_$,Symbol)->_$`dRoutinesTable``428843
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``428959
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``429166
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``429385
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``429534
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``429762
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``429958
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``430281
odenom`1`n`(_$)->S`dLocalAlgebra(A,R,S)``430338
odenom`1`n`(_$)->S`dLocalize(M,R,S)``430397
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``430456
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``430568
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``430641
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`430753
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`430865
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``430947
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``431037
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``431239
odepth`1`x`(_$)->NonNegativeInteger`cStackAggregate(S)``431301
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``431417
odequeue`0`x`()->_$`cDequeueAggregate(S)``431609
odequeue`1`x`(List(S))->_$`cDequeueAggregate(S)``431686
odequeue`1`x`(List(S))->_$`dDequeue(S)``431861
oderef`1`n`(_$)->S`dReference(S)``432036
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``432091
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`432269
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``432355
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``432481
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``432731
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``433030
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``433149
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``433219
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``433354
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`433489
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`433602
odf2ef`1`x`(DoubleFloat)->Expression(Float)`pExpertSystemToolsPackage``433679
odf2fi`1`x`(DoubleFloat)->Fraction(Integer)`pExpertSystemToolsPackage``433768
odf2mf`1`x`(DoubleFloat)->MachineFloat`pExpertSystemToolsPackage``433876
odf2st`1`x`(DoubleFloat)->String`pExpertSystemContinuityPackage``433961
odf2st`1`x`(DoubleFloat)->String`pExpertSystemToolsPackage``434040
odf2st`1`x`(DoubleFloat)->String`pd01AgentsPackage``434119
odfRange`1`x`(Segment(OrderedCompletion(DoubleFloat)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``434198
odflist`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(DoubleFloat)`pExpertSystemToolsPackage``434339
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``434434
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`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``434526
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``434720
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``434914
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``435019
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``435124
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``435649
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``435762
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``435870
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``435979
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``436086
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``436427
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->_$`cDictionaryOperations(S)``436510
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``436637
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`x`(_$,S)->_$`cSetAggregate(S)``436708
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``436962
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``437373
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`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``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`x`(_$)->_$`cDifferentialRing``437507
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``437663
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``437730
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`xPartialDifferentialRing&(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`xPartialDifferentialRing&(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`xDifferentialExtension&(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`xDifferentialExtension&(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`xDifferentialExtension&(S,R)``0
odifferentiate`2`n`(S,NonNegativeInteger)->S`xDifferentialRing&(S)``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`xDifferentialExtension&(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`(_$,(F)->F)->F`dIntegrationResult(F)``437797
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``437897
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`438078
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``438162
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``438262
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``438362
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``438463
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``438563
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``438663
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``438764
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``438870
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``438978
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``439135
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``439217
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``439299
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``439381
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``439484
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`xPartialDifferentialRing&(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`xPartialDifferentialRing&(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`xDifferentialExtension&(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`xDifferentialExtension&(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`xDifferentialExtension&(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`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``439584
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)``439722
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``439905
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``440021
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``440178
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``440252
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``440374
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``440496
odigit?`1`x`(_$)->Boolean`dCharacter``440619
odigit`0`x`()->_$`dCharacterClass``440716
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``440832
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``440909
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``440986
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`441083
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``441180
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``441258
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``441444
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``441556
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``441656
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``441703
odim`1`x`(Color)->_$`dPalette``441827
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``441919
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``442147
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``442221
odimension`1`x`(_$)->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``442279
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``442430
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeals(F,Expon,VarSet,DPoly)``442511
odimensionsOf`1`x`(_$)->List(Polynomial(Integer))`dFortranType``442615
odimensionsOf`2`x`(Symbol,Matrix(DoubleFloat))->SExpression`pNAGLinkSupportPackage``442680
odimensionsOf`2`x`(Symbol,Matrix(Integer))->SExpression`pNAGLinkSupportPackage``442728
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``442776
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``443224
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``443676
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``443853
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``443980
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`444124
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``444318
odirection`1`n`(String)->Integer`pToolsForSign(R)``444549
odirectory`1`x`(_$)->String`cFileNameCategory``444590
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``444662
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``444791
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``444889
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``445041
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``445185
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``445244
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`(polR)->R`pPseudoRemainderSequence(R,polR)``445303
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``445420
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`445512
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`445595
odisplay`1`x`(String)->Void`dMathMLFormat``445717
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``445788
odisplay`1`x`(_$)->Void`dDatabase(S)``445910
odisplay`1`x`(_$)->Void`dIndexCard``445995
odisplay`1`x`(_$)->Void`dScriptFormulaFormat``446089
odisplay`1`x`(_$)->Void`dTexFormat``446269
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``446453
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``446670
odisplay`2`x`(_$,Integer)->Void`dScriptFormulaFormat``446905
odisplay`2`x`(_$,Integer)->Void`dTexFormat``447047
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``447193
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``447716
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``447813
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``448035
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``448218
odiv`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dOrderedFreeMonoid(S)``448451
odiv`2`n`(_$,_$)->_$`dOutputForm``448668
odivergence`2`x`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``448725
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``448886
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``449118
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``449451
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``449590
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``449811
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``449954
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``450186
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``450269
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``450637
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451085
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451159
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451230
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451341
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``451513
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``451824
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``451894
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``451954
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``452014
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``452074
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``452163
odn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``452249
odom`1`x`(_$)->SExpression`dAny``452345
odomainTemplate`1`n`(_$)->DomainTemplate`dFunctorData``452471
odomain`0`n`()->_$`dConstructorKind``452580
odominantTerm`1`n`(_$)->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)``452631
odot`1`n`(_$)->_$`dOutputForm``453040
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``453103
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``453283
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`has(R,Ring)`453361
odot`2`x`(_$,_$)->R`cVectorCategory(R)`has(R,Ring)`453449
odouble?`1`x`(_$)->Boolean`dFortranScalarType``453601
odoubleComplex?`1`x`(_$)->Boolean`dFortranScalarType``453700
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``453820
odoubleFloatFormat`1`n`(String)->String`dOutputForm``453862
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``453937
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``454097
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``454285
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``454369
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``454592
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``455330
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``456176
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``456401
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``456812
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``457207
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``457293
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``457490
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``457576
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``457698
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``457836
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``458003
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``458142
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``458318
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``458480
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``458697
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``458873
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459112
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459324
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459550
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``459739
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``460034
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``460293
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``460535
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``460727
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``460956
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``461208
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``461517
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``461781
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462116
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``462383
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462707
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``462990
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``463286
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``463474
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``463808
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``464052
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``464417
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``464847
odualSignature`1`n`(S)->List(Boolean)`xConstructorCategory&(S)``0
odualSignature`1`x`(_$)->List(Boolean)`cConstructorCategory``464905
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``465197
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``465278
oe01baf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagInterpolationPackage``465365
oe01bef`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``465503
oe01bff`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``465678
oe01bgf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``465832
oe01bhf`7`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``466011
oe01daf`6`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466203
oe01saf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagInterpolationPackage``466428
oe01sbf`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``466630
oe01sef`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``466818
oe01sff`9`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Matrix(DoubleFloat),DoubleFloat,DoubleFloat,Integer)->Result`pNagInterpolationPackage``467030
oe02adf`7`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``467218
oe02aef`4`x`(Integer,Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``467406
oe02agf`16`x`(Integer,Integer,Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Integer,Integer)->Result`pNagFittingPackage``467558
oe02ahf`9`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,Integer,Integer,Integer)->Result`pNagFittingPackage``467936
oe02ajf`10`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer,Integer,Integer)->Result`pNagFittingPackage``468178
oe02akf`8`x`(Integer,DoubleFloat,DoubleFloat,Matrix(DoubleFloat),Integer,Integer,DoubleFloat,Integer)->Result`pNagFittingPackage``468435
oe02baf`7`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``468679
oe02bbf`5`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer)->Result`pNagFittingPackage``468936
oe02bcf`6`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer)->Result`pNagFittingPackage``469066
oe02bdf`4`x`(Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``469258
oe02bef`13`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(Integer))->Result`pNagFittingPackage``469417
oe02daf`15`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``469769
oe02dcf`18`x`(String,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer)->Result`pNagFittingPackage``470013
oe02ddf`17`x`(String,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``470457
oe02def`9`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``470810
oe02dff`12`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``470960
oe02gaf`7`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagFittingPackage``471186
oe02zaf`10`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagFittingPackage``471380
oe04dgf`15`x`(Integer,DoubleFloat,DoubleFloat,Integer,DoubleFloat,Boolean,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp49(OBJFUN)))->Result`pNagOptimisationPackage``471540
oe04fdf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp50(LSFUN1)))->Result`pNagOptimisationPackage``471910
oe04gcf`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp19(LSFUN2)))->Result`pNagOptimisationPackage``472179
oe04jaf`9`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp24(FUNCT1)))->Result`pNagOptimisationPackage``472444
oe04mbf`15`x`(Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Boolean,Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``472916
oe04naf`24`x`(Integer,Integer,Integer,Integer,Integer,Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Boolean,Boolean,Boolean,Integer,Integer,Matrix(DoubleFloat),Matrix(Integer),Integer,Union(fn:FileName,fp:Asp20(QPHESS)))->Result`pNagOptimisationPackage``473234
oe04ucf`43`x`(Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Integer,Boolean,DoubleFloat,Integer,DoubleFloat,DoubleFloat,Boolean,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Boolean,Integer,Integer,Integer,Integer,Integer,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Matrix(Integer),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp55--(CONFUN)),Union(fn:FileName,fp:Asp49(OBJFUN)))->Result`pNagOptimisationPackage``473573
oe04ycf`8`x`(Integer,Integer,Integer,DoubleFloat,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagOptimisationPackage``474376
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,Q)``474700
oedf2df`1`x`(Expression(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``474758
oedf2ef`1`x`(Expression(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``474908
oedf2efi`1`x`(Expression(DoubleFloat))->Expression(Fraction(Integer))`pExpertSystemToolsPackage``475004
oedf2fi`1`x`(Expression(DoubleFloat))->Fraction(Integer)`pExpertSystemToolsPackage``475117
oef2edf`1`x`(Expression(Float))->Expression(DoubleFloat)`pExpertSystemToolsPackage``475277
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``475399
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``475544
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``475691
oeigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),eigmult:NonNegativeInteger,eigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``475819
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``476180
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476349
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476498
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``476616
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``476756
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``476840
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``476937
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``477061
oelements`1`x`(_$)->List(SpadAst)`dConstructAst``477153
oelliptic?`1`x`(Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Boolean`pd03AgentsPackage``477238
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``477281
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``477552
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``477679
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``477806
oelseBranch`1`x`(_$)->SpadAst`dIfAst``478029
oelt`1`n`(_$)->S`dReference(S)``478091
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``478141
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(_$))->_$`dPattern(R)``478202
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
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`(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`(_$,List(_$))->_$`dOutputForm``478267
oelt`2`n`(_$,NonNegativeInteger)->Syntax`dDomainTemplate``478366
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``478431
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``478489
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``478643
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`478740
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`478875
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``479023
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``479107
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``479210
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``479310
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``479405
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``479512
oelt`2`x`(_$,"sort")->_$`dDataList(S)``479610
oelt`2`x`(_$,"unique")->_$`dDataList(S)``479731
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``479872
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``479969
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``480078
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``480231
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``480351
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``480412
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``480465
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``480543
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``480619
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``480733
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``480814
oelt`2`x`(_$,S)->Index`cEltable(S,Index)``480912
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``481072
oelt`2`x`(_$,Symbol)->Any`dLibrary``481159
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``481289
oelt`2`x`(_$,Symbol)->String`dIndexCard``481386
oelt`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``481584
oelt`2`x`(_$,_$)->_$`cStringAggregate``481841
oelt`3`n`(A,Integer,S)->S`xLazyStreamAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`3`n`(A,Integer,S)->S`xStreamAggregate&(A,S)``0
oelt`3`n`(BasicOperator,S,S)->S`xExpressionSpace&(S)``0
oelt`3`n`(BasicOperator,S,S)->S`xFunctionSpace&(S,R)``0
oelt`3`n`(S,F,F)->F`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oelt`3`n`(S,Index,Entry)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`3`n`(S,Integer,Character)->Character`xStringAggregate&(S)``0
oelt`3`n`(S,Integer,Integer)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,Integer)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xMatrixCategory&(S,R,Row,Col)``0
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``482056
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``482181
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``482550
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``482690
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``482811
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``482940
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``483102
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``483270
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cMatrixCategory(R,Row,Col)``483333
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xMatrixCategory&(S,R,Row,Col)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``483675
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``483827
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``483892
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``484102
oelt`4`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``484310
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``484381
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``484557
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``484624
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``484748
oempty?`1`x`(_$)->Boolean`cAggregate``484846
oempty`0`n`()->_$`dOutputForm``484904
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``484949
oempty`0`n`()->_$`dSplittingNode(V,C)``485009
oempty`0`x`()->_$`cAggregate``485119
oempty`0`x`()->_$`dEnvironment``485326
oempty`0`x`()->_$`dScope``485380
oempty`0`x`()->_$`dSymbolTable``485426
oempty`0`x`()->_$`dTheSymbolTable``485484
oencodingDirectory`1`n`(_$)->PrimitiveArray(NonNegativeInteger)`dFunctorData``485543
oendOfFile?`1`x`(_$)->Boolean`dTextFile``485634
oendSubProgram`0`x`()->Symbol`dTheSymbolTable``485807
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``485902
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``485988
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``486181
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``486425
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`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``486631
oentries`1`x`(_$)->List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStrea--m:Union(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))`dIntegrationFunctionsTable``486733
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(Entry,SetCategory))`486774
oentry`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:Stream(DoubleFl--oat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))`dIntegrationFunctionsTable``486878
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``486917
oeof?`1`x`(_$)->Boolean`dInputBinaryFile``487013
oepilogue`1`x`(_$)->List(String)`dScriptFormulaFormat``487085
oepilogue`1`x`(_$)->List(String)`dTexFormat``487173
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``487253
oeq`2`n`(_$,_$)->Boolean`dRuntimeValue``487325
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``487429
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``487518
oequation`2`x`(S,S)->_$`dEquation(S)``487790
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``487839
oequation`2`x`(Symbol,String)->_$`dQueryEquation``488011
oequiv`2`x`(_$,_$)->_$`cPropositionalLogic``488065
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``488151
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``488199
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``488346
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``488419
oerror`1`x`(List(String))->Exit`pErrorFunctions``488499
oerror`1`x`(String)->Exit`pErrorFunctions``488576
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``488651
oerror`2`x`(String,String)->Exit`pErrorFunctions``488819
oescape`0`x`()->_$`dCharacter``488984
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489125
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489282
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489615
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``489918
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``490100
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`490211
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``490251
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``490468
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``490769
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``490916
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`490986
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``491055
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`(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)``491280
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``491424
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``491564
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``491704
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``491822
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(**,Coef(Coef,Expon)))`492077
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``492195
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``492266
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`492356
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`492446
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``492546
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`492634
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`492704
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`(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)``492787
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``492860
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``493077
oeval`3`x`(Matrix(Expression(DoubleFloat)),List(Symbol),Vector(Expression(DoubleFloat)))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``493158
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``493285
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``493356
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``493489
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``493589
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``493682
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``493839
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``493961
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``494118
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``494240
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``494405
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``494538
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``494638
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`x`(_$,BasicOperator,_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`494759
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`494897
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`495057
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`495217
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`495356
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`495483
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``495589
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``495638
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``495762
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``495994
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``496217
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``496389
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`496714
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``496783
oeven?`1`x`(_$)->Boolean`dPermutation(S)``496859
oevenInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``496990
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``497134
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``497278
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``497422
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``497566
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``497891
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`x`((S)->Boolean,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`498269
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``498509
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``498548
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``498587
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`498626
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`498750
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`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`498852
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`499078
oexists?`1`x`(_$)->Boolean`cFileNameCategory``499283
oexp1`0`x`()->_$`dDoubleFloat``499353
oexp1`0`x`()->_$`dFloat``499426
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``499486
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``499573
oexp`1`n`(F)->F`pElementaryFunction(R,F)``500041
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``500107
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``500181
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)``500252
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``500328
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``500404
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``500477
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``500552
oexp`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``500615
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``500682
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`500804
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``500930
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``501097
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`501213
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``501655
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``501717
oexpand`1`x`(IntegrationResult(F))->List(F)`pIntegrationResultToFunction(R,F)``502127
oexpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->List(Expression(R))`pIntegrationResultRFToFunction(R)``502222
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``502317
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``502549
oexpand`1`x`(_$)->R`dFactored(R)``502728
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``502941
oexpenseOfEvaluationIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``502983
oexpenseOfEvaluation`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Float`pe04AgentsPackage``503455
oexpenseOfEvaluation`1`x`(Vector(Expression(DoubleFloat)))->Float`pExpertSystemToolsPackage``503679
oexpextendedint`4`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean),Fraction(UP))->Union(Record(answer:Fraction(UP),a0:F),Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``504046
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``504403
oexpintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``504493
oexpintfldpoly`2`n`(LaurentPolynomial(F,UP),(Integer,F)->Record(ans:F,right:F,sol?:Boolean))->Union(LaurentPolynomial(F,UP),"failed")`pTranscendentalIntegration(F,UP)``504708
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``504893
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``505033
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``505198
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)``505415
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``505782
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``505919
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``505959
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``506013
oexponent`1`x`(_$)->Integer`dFactored(R)``506113
oexponent`1`x`(_$)->Integer`dMachineFloat``506258
oexponential1`0`n`()->Float`pRandomFloatDistributions``506317
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``506360
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``506473
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``506516
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``506652
oexportedOperators`1`n`(_$)->List(OperatorSignature)`dCategory``506813
oexprHasAlgebraicWeight`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(List(DoubleFloat),"failed")`pd01WeightsPackage``506960
oexprHasLogarithmicWeights`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Integer`pd01WeightsPackage``507090
oexprHasWeightCosWXorSinWX`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(op:BasicOperator,w:DoubleFloat),"failed")`pd01WeightsPackage``507225
oexprToGenUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``507451
oexprToUPS`3`n`(FE,Boolean,String)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``509553
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``511642
oexpr`1`x`(_$)->Expr`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``511955
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``512078
oexpression`1`x`(_$)->SpadAst`dCoerceAst``512276
oexpression`1`x`(_$)->SpadAst`dExitAst``512344
oexpression`1`x`(_$)->SpadAst`dPretendAst``512408
oexpression`1`x`(_$)->SpadAst`dQuasiquoteAst``512476
oexpression`1`x`(_$)->SpadAst`dRestrictAst``512556
oexpression`1`x`(_$)->SpadAst`dReturnAst``512624
oexprex`1`x`(OutputForm)->String`dMathMLFormat``512692
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``513096
oexptMod`4`x`(U,Integer,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``513212
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``513364
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``513424
oexquo`2`n`(Vector(polR),R)->Vector(polR)`pPseudoRemainderSequence(R,polR)``513559
oexquo`2`n`(_$,_$)->_$`dOutputForm``513666
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`513726
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,IntegralDomain)`513864
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`513982
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`514130
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`514278
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cIntegralDomain``514403
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``514531
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``514671
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),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oextend`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
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`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``515270
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``515365
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``515520
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``515613
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``515907
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``516007
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``516241
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``516322
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``516499
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``516541
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``516634
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``516957
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``517340
oextendedIntegrate`3`x`(Fraction(Polynomial(F)),Symbol,Fraction(Polynomial(F)))->Union(Record(ratpart:Fraction(Polynomial(F)),coeff:Fraction(Polynomial(F))),"failed")`pRationalFunctionIntegration(F)``517548
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`517723
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`517945
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`518214
oextendedint`2`n`(Fraction(UP),Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pRationalIntegration(F,UP)``518443
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``518603
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``518674
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``518815
oextension`1`x`(_$)->String`cFileNameCategory``518886
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``518953
oexternal?`1`x`(_$)->Boolean`dFortranType``519100
oexternalList`1`x`(_$)->List(Symbol)`dSymbolTable``519186
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``519275
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``519358
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``519495
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``519729
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``519816
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``519944
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``520103
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``520254
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``520398
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``520530
of01brf`12`x`(Integer,Integer,Integer,Integer,DoubleFloat,Boolean,Boolean,List(Boolean),Matrix(DoubleFloat),Matrix(Integer),Matrix(Integer),Integer)->Result`pNagMatrixOperationsPackage``520728
of01bsf`13`x`(Integer,Integer,Integer,Matrix(Integer),Matrix(Integer),Matrix(Integer),Matrix(Integer),Boolean,DoubleFloat,Boolean,Matrix(Integer),Matrix(DoubleFloat),Integer)->Result`pNagMatrixOperationsPackage``521103
of01maf`11`x`(Integer,Integer,Integer,Integer,List(Boolean),Matrix(DoubleFloat),Matrix(Integer),Matrix(Integer),DoubleFloat,DoubleFloat,Integer)->Result`pNagMatrixOperationsPackage``521383
of01mcf`5`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Integer)->Result`pNagMatrixOperationsPackage``521605
of01qcf`5`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagMatrixOperationsPackage``521796
of01qdf`11`x`(String,String,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagMatrixOperationsPackage``521970
of01qef`8`x`(String,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagMatrixOperationsPackage``522119
of01rcf`5`x`(Integer,Integer,Integer,Matrix(Complex(DoubleFloat)),Integer)->Result`pNagMatrixOperationsPackage``522401
of01rdf`11`x`(String,String,Integer,Integer,Matrix(Complex(DoubleFloat)),Integer,Matrix(Complex(DoubleFloat)),Integer,Integer,Matrix(Complex(DoubleFloat)),Integer)->Result`pNagMatrixOperationsPackage``522578
of01ref`8`x`(String,Integer,Integer,Integer,Integer,Matrix(Complex(DoubleFloat)),Matrix(Complex(DoubleFloat)),Integer)->Result`pNagMatrixOperationsPackage``522728
of02aaf`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``523011
of02abf`5`x`(Matrix(DoubleFloat),Integer,Integer,Integer,Integer)->Result`pNagEigenPackage``523122
of02adf`6`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``523264
of02aef`7`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``523502
of02aff`4`x`(Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``523742
of02agf`6`x`(Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``523883
of02ajf`6`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``524032
of02akf`8`x`(Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``524152
of02awf`6`x`(Integer,Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``524301
of02axf`8`x`(Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer,Integer,Integer,Integer,Integer)->Result`pNagEigenPackage``524452
of02bbf`8`x`(Integer,Integer,DoubleFloat,DoubleFloat,Integer,Integer,Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``524611
of02bjf`9`x`(Integer,Integer,Integer,DoubleFloat,Boolean,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``524893
of02fjf`14`x`(Integer,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp27(DOT)),Union(fn:FileName,fp:Asp28(IMAGE)))->Result`pNagEigenPackage``525201
of02fjf`15`x`(Integer,Integer,DoubleFloat,Integer,Integer,Integer,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp27(DOT)),Union(fn:FileName,fp:Asp28(IMAGE)),FileName)->Result`pNagEigenPackage``525423
of02wef`12`x`(Integer,Integer,Integer,Integer,Integer,Boolean,Integer,Boolean,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagEigenPackage``525651
of02xef`12`x`(Integer,Integer,Integer,Integer,Integer,Boolean,Integer,Boolean,Integer,Matrix(Complex(DoubleFloat)),Matrix(Complex(DoubleFloat)),Integer)->Result`pNagEigenPackage``525855
of04adf`8`x`(Integer,Matrix(Complex(DoubleFloat)),Integer,Integer,Integer,Integer,Matrix(Complex(DoubleFloat)),Integer)->Result`pNagLinearEquationSolvingPackage``526062
of04arf`5`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``526308
of04asf`5`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``526542
of04atf`6`x`(Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Integer,Integer,Integer)->Result`pNagLinearEquationSolvingPackage``526818
of04axf`8`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Matrix(Integer),Integer,Matrix(Integer),Matrix(DoubleFloat))->Result`pNagLinearEquationSolvingPackage``527081
of04faf`6`x`(Integer,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``527389
of04jgf`8`x`(Integer,Integer,Integer,DoubleFloat,Integer,Matrix(DoubleFloat),Matrix(DoubleFloat),Integer)->Result`pNagLinearEquationSolvingPackage``527585
of04maf`14`x`(Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Matrix(Integer),Matrix(DoubleFloat),Matrix(Integer),Matrix(Integer),Matrix(DoubleFloat),Matrix(DoubleFloat),Matrix(Integer),Integer)->Result`pNagLinearEquationSolvingPackage``527958
of04mbf`12`x`(Integer,Matrix(DoubleFloat),Boolean,DoubleFloat,Integer,Integer,Integer,Integer,DoubleFloat,Integer,Union(fn:FileName,fp:Asp28(APROD)),Union(fn:FileName,fp:Asp34(MSOLVE)))->Result`pNagLinearEquationSolvingPackage``528277
of04mcf`11`x`(Integer,Matrix(DoubleFloat),Integer,Matrix(DoubleFloat),Matrix(Integer),Integer,Matrix(DoubleFloat),Integer,Integer,Integer,Integer)->Result`pNagLinearEquationSolvingPackage``528498
of04qaf`13`x`(Integer,Integer,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Matrix(DoubleFloat),Integer,Union(fn:FileName,fp:Asp30(APROD)))->Result`pNagLinearEquationSolvingPackage``528884
of07adf`4`x`(Integer,Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``529174
of07aef`8`x`(String,Integer,Integer,Matrix(DoubleFloat),Integer,Matrix(Integer),Integer,Matrix(DoubleFloat))->Result`pNagLapack``529329
of07fdf`4`x`(String,Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``529606
of07fef`7`x`(String,Integer,Integer,Matrix(DoubleFloat),Integer,Integer,Matrix(DoubleFloat))->Result`pNagLapack``529777
of2df`1`x`(Float)->DoubleFloat`pExpertSystemToolsPackage``530036
of2st`1`x`(Float)->String`pExpertSystemToolsPackage``530132
ofTable`1`x`(List(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Unio--n(str:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")))))->_$`dIntegrationFunctionsTable``530204
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`530285
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`530393
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``530570
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``530798
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``531026
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``531137
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``531283
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``531521
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``531617
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``531665
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``531799
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``531882
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532063
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532200
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``532434
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``532781
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`532898
ofactorSFBRlcUnit`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``532948
ofactorSFBRlcUnit`2`n`(List(VarSet),SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``533198
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``533448
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursionUnivariate(R,S)``533730
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``534012
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``534208
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``534320
ofactorSquareFree`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``534464
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``534559
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``534669
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``534956
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``535199
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``535535
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``535843
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`535918
ofactor`1`n`(OrderedFreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``535974
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``536062
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``536159
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``536291
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``536366
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)``536457
ofactor`1`n`(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R))`pGenUFactorize(R)``536592
ofactor`1`n`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``536654
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``536963
ofactor`1`n`(ZP)->Factored(ZP)`pUnivariateFactorize(ZP)``537044
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``537106
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``537201
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``537289
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``537386
ofactor`1`x`(PR)->Factored(PR)`pComplexFactorization(RR,PR)``537507
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``537593
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``537677
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``537862
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``538086
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``538198
ofactor`1`x`(UPA)->Factored(UPA)`pSAERationalFunctionAlgFactor(UP,SAE,UPA)``538265
ofactor`1`x`(UPA)->Factored(UPA)`pSimpleAlgebraicExtensionAlgFactor(UP,SAE,UPA)``538332
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``538399
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``538480
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``538602
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``538709
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``538862
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``539098
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``539300
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``539458
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``539695
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``539839
ofactor`2`x`(U,Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``540064
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``540249
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``540392
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``540643
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``540866
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``541177
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``541270
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``541424
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``541589
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``541693
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``541797
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``541923
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``542049
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``542135
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``542246
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``542327
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dOrderedFreeMonoid(S)``542408
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``542489
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``542789
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``542868
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``542930
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``542992
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``543039
ofalse`0`x`()->_$`cPropositionalLogic``543086
offactor`1`n`(UP)->Factored(UP)`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``543129
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``543217
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``543400
ofi2df`1`x`(Fraction(Integer))->DoubleFloat`pExpertSystemToolsPackage``543585
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``543674
ofigureUnits`1`n`(List(List(Point(DoubleFloat))))->List(DoubleFloat)`dGraphImage``0
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``543988
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`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`544237
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``544361
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``544424
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``544483
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``544560
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``544720
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``544793
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dContour``544956
ofindBinding`2`x`(Identifier,_$)->Maybe(Binding)`dScope``545061
ofindConstructor`1`n`(Identifier)->Maybe(_$)`dConstructor``545168
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``545328
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``545411
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``545553
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``545667
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``545721
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``545775
ofiniteBound`2`x`(List(OrderedCompletion(DoubleFloat)),DoubleFloat)->List(DoubleFloat)`pe04AgentsPackage``545862
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`546013
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`546221
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``546429
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``546628
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``546825
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``546941
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`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``547247
ofirst`1`n`(_$)->S`dOrderedFreeMonoid(S)``547321
ofirst`1`n`(_$)->VarSet`dMagma(VarSet)``547382
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`547467
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``547658
ofirst`1`x`(_$)->S`dPair(S,T)``547768
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``547835
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``548012
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``548127
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``548215
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``548462
ofixedPoint`1`x`((A)->A)->A`pMappingPackage1(A)``548583
ofixedPoint`2`x`((List(A))->List(A),Integer)->List(A)`pMappingPackage1(A)``548732
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`548887
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``548970
oflatten`1`n`(_$)->_$`dInputForm``549149
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``549389
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``549602
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``549815
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``549906
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``549994
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``550130
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``550187
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`550241
ofloor`1`x`(_$)->_$`cRealNumberSystem``550317
ofmecg`4`n`(_$,E,R,_$)->_$`dPolynomialRing(R,E)`AND(has(R,IntegralDomain),has(E,CancellationAbelianMonoid))`550380
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dNewSparseUnivariatePolynomial(R)``550468
ofmecg`4`n`(_$,NonNegativeInteger,R,_$)->_$`dSparseUnivariatePolynomial(R)``550640
ofmecg`4`n`(_$,Partition,R,_$)->_$`dSymmetricPolynomial(R)`AND(has(R,IntegralDomain),has(Partition,CancellationAbelianMonoid))`0
ofmecg`4`x`(_$,NonNegativeInteger,R,_$)->_$`dUnivariatePolynomial(x,R)``550728
oforLoop`2`x`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``550816
oforLoop`3`x`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``550942
oformula`1`x`(_$)->List(String)`dScriptFormulaFormat``551082
ofortranCarriageReturn`0`x`()->Void`dFortranTemplate``551168
ofortranCharacter`0`x`()->_$`dFortranType``551270
ofortranCompilerName`0`x`()->String`pNAGLinkSupportPackage``551350
ofortranComplex`0`x`()->_$`dFortranType``551460
ofortranDoubleComplex`0`x`()->_$`dFortranType``551536
ofortranDouble`0`x`()->_$`dFortranType``551625
ofortranInteger`0`x`()->_$`dFortranType``551709
ofortranLinkerArgs`0`x`()->String`pNAGLinkSupportPackage``551785
ofortranLiteralLine`1`x`(String)->Void`dFortranTemplate``551856
ofortranLiteral`1`x`(String)->Void`dFortranTemplate``551978
ofortranLogical`0`x`()->_$`dFortranType``552063
ofortranReal`0`x`()->_$`dFortranType``552139
ofortranTypeOf`2`x`(Symbol,_$)->FortranType`dSymbolTable``552209
ofortran`3`x`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``552287
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``552473
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``552512
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``552603
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``552808
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`552902
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``553009
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``553090
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``553172
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``553258
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`553339
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``553466
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``553536
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``553636
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`553764
ofront`1`x`(_$)->S`cQueueAggregate(S)``553805
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`553955
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``554046
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``554228
ofullDisplay`1`x`(_$)->Void`dIndexCard``554314
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``554406
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``554539
ofunctionIsContinuousAtEndPoints`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated")`pd01AgentsPackage``554696
ofunctionIsFracPolynomial?`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Boolean`pExpertSystemContinuityPackage``554852
ofunctionIsOscillatory`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd01AgentsPackage``554991
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``555103
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``555172
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``555286
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``555377
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``555450
ofunctorData`1`n`(_$)->FunctorData`dDomainConstructor``555528
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``555630
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``555665
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`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``555746
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``555862
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``555964
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``556072
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``556180
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``556253
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)``556337
ogcd`1`x`(List(_$))->_$`cGcdDomain``556421
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``556510
ogcd`2`n`(R,S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
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)``556603
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`556696
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`556809
ogcd`2`x`(_$,_$)->_$`cGcdDomain``556936
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``557021
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``557133
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``557241
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``557381
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``557479
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``557580
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``557672
ogeneralInfiniteProduct`3`n`(Stream(Coef),Integer,Integer)->Stream(Coef)`pStreamInfiniteProduct(Coef)``557755
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``557913
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``558071
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteProductPrimeField(Coef,UTS)``558229
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``558387
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``558586
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``558811
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``558999
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``559155
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``559304
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``559405
ogeneralizedEigenvector`2`x`(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)``559523
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``559705
ogeneralizedEigenvectors`1`x`(Matrix(Fraction(Polynomial(R))))->List(Record(eigval:Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),geneigvec:List(Matrix(Fraction(Polynomial(R))))))`pEigenPackage(R)``560100
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``560202
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``560446
ogenerate`1`x`(()->S)->_$`dStream(S)``560580
ogenerate`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``560726
ogenerate`2`x`((S)->S,S)->_$`dStream(S)``560791
ogenerate`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``561018
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`561329
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``561468
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``561533
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``561625
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``561711
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``561775
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeals(F,Expon,VarSet,DPoly)``561879
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``561960
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``562035
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562110
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562444
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562589
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`562862
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`563007
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``563249
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`563392
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`563727
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`563877
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`564117
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`564267
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``564474
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``564638
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``564799
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``565003
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``565169
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``565325
ogensym`0`x`()->_$`dIdentifier``565551
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``565660
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``565740
ogeometric`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``565820
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``565861
ogetButtonValue`2`x`(String,String)->Float`dAttributeButtons``566002
ogetCode`1`x`(_$)->SExpression`dFortranCode``566316
ogetConstant`1`x`(_$)->Union(SExpression,"failed")`dElaboratedExpression``566458
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``566525
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``566669
ogetExplanations`2`x`(_$,String)->List(String)`dRoutinesTable``566928
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``567037
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``567115
ogetIdentifier`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``567358
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``567429
ogetMeasure`2`x`(_$,Symbol)->Float`dRoutinesTable``567588
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``567691
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``567785
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``567879
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``567973
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``568150
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``568327
ogetOperands`1`x`(_$)->List(_$)`dSyntax``568504
ogetOperands`1`x`(_$)->Union(List(_$),"failed")`dElaboratedExpression``568593
ogetOperator`1`x`(_$)->Union(Identifier,"failed")`dElaboratedExpression``568689
ogetOperator`1`x`(_$)->Union(Integer,DoubleFloat,Identifier,String,_$)`dSyntax``568792
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``569022
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``569187
ogetProperties`2`x`(Identifier,_$)->List(Property)`dEnvironment``569490
ogetProperty`3`x`(Identifier,Identifier,_$)->Maybe(SExpression)`dEnvironment``569587
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``569740
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``569856
ogetSyntaxFormsFromFile`1`x`(String)->List(Syntax)`pParser``569945
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``570206
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``570385
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``570523
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``570652
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``570790
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``570910
ogethi`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``571022
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemContinuityPackage``571142
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pExpertSystemToolsPackage``571261
ogetlo`1`x`(Segment(OrderedCompletion(DoubleFloat)))->DoubleFloat`pd01AgentsPackage``571372
ogoodPoint`2`n`(UPUP,UPUP)->F`pChangeOfVariable(F,UP,UPUP)``571491
ogoodnessOfFit`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``571630
ogoodnessOfFit`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``572290
ogoto`1`x`(SingleInteger)->_$`dFortranCode``573501
ogradient`2`x`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``573576
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``573769
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``573927
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``574099
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``574254
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``574468
ographImage`0`n`()->_$`dGraphImage``574888
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``575073
ographStates`1`n`(_$)->Vector(Record(scaleX:DoubleFloat,scaleY:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat,points:Integer,connect:Integer,spline:Integer,axes:Integer,axesColor:Palette,units:Integer,unitsColor:Palette,showing:Integer))`dTwoDimensionalViewport``576141
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``576412
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``576752
ogreen`0`x`()->_$`dColor``576925
ogreen`1`x`(_$)->T`cRGBColorModel(T)``577002
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``577070
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``577364
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``577401
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``577496
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``577998
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``578584
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``579199
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``579904
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``580116
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``580356
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``580599
ogroebner`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``580723
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``580829
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``581292
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``581676
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``581767
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``581837
oground`1`x`(_$)->R`cFunctionSpace(R)``581915
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``582042
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`582077
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`582256
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`582435
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`582626
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`582838
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`583036
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``583255
ohas?`2`x`(_$,Identifier)->Boolean`dBasicOperator``583360
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``583438
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``583516
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``583596
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``583685
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``583774
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`n`(_$)->Integer`dIndexedString(mn)``583853
ohash`1`x`(_$)->SingleInteger`cSetCategory``583915
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``583974
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``584217
ohclf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``584393
ohconcat`1`n`(List(_$))->_$`dOutputForm``584559
ohconcat`2`n`(_$,_$)->_$`dOutputForm``584638
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``584719
ohcrf`2`n`(_$,_$)->_$`dOrderedFreeMonoid(S)``584896
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``585063
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``585152
oheadAst`2`x`(Identifier,List(Identifier))->_$`dHeadAst``585240
oheadReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``585317
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``585629
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``585891
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``586074
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``586235
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``586406
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`586531
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->HeadAst`dDefinitionAst``586829
ohead`1`x`(_$)->HeadAst`dMacroAst``587018
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``587209
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``587325
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``587581
oheap`1`x`(List(S))->_$`dHeap(S)``587702
oheight`0`n`()->Integer`dOutputForm``587793
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``587869
oheight`1`n`(_$)->Integer`dOutputForm``587976
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``588050
oheight`1`x`(_$)->NonNegativeInteger`cDequeueAggregate(S)``588113
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``588235
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``588515
ohenselFact`2`n`(ZP,Boolean)->Record(contp:Integer,factors:List(Record(irr:ZP,pow:Integer)))`pUnivariateFactorize(ZP)``588833
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``589120
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``589282
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``589553
ohessian`2`x`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``589634
ohexDigit?`1`x`(_$)->Boolean`dCharacter``589826
ohexDigit`0`x`()->_$`dCharacterClass``589960
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``590082
ohi`1`x`(_$)->S`cSegmentCategory(S)``590158
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`590246
ohigh`1`x`(_$)->S`cSegmentCategory(S)``590463
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``590555
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``590734
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``590824
ohorizConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``590934
ohostByteOrder`0`n`()->ByteOrder`dSystem``591166
ohostPlatform`0`n`()->String`dSystem``591194
ohost`1`x`(String)->_$`dHostname``591309
ohspace`1`n`(Integer)->_$`dOutputForm``591379
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``591442
ohue`1`n`(Point(R))->R`pPointPackage(R)``591543
ohue`1`x`(_$)->Color`dPalette``591866
ohue`1`x`(_$)->Integer`dColor``591944
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``592020
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``592157
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``592294
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``592382
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``592470
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``592684
oiFTable`1`x`(List(Record(key:Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))))->_$`dODEIntensityFunctionsTable``592860
oid`1`x`(A)->A`pMappingPackage1(A)``592953
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``592985
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``593283
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``593354
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``593459
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``593537
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``593703
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``593800
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``593951
oidentityMatrix`1`x`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`594165
oidentitySquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``594256
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``594312
oiflist2Result`1`x`(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float))->Result`pExpertSystemToolsPackage``594366
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``594452
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``594613
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``594671
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``594727
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``594783
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``594840
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``594896
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``594953
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``595009
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``595066
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``595122
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``595179
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``595235
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``595292
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``595348
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``595405
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``595463
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``595518
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``595574
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``595629
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``595685
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``595740
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``595796
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``595854
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``595911
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``595966
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``596023
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``596078
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``596135
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``596191
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``596246
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``596302
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``596357
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``596413
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``596469
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``596525
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``596580
oimagE`1`x`(_$)->R`cOctonionCategory(R)``596636
oimagI`1`x`(_$)->R`cOctonionCategory(R)``596718
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``596800
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``596884
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``596966
oimagK`1`x`(_$)->R`cOctonionCategory(R)``597050
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``597132
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``597216
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``597315
oimag`1`x`(_$)->R`cComplexCategory(R)``597414
oimagi`1`x`(_$)->R`cOctonionCategory(R)``597472
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``597544
oimagj`1`x`(_$)->R`cOctonionCategory(R)``597602
oimagk`1`x`(_$)->R`cOctonionCategory(R)``597674
oimplies`2`x`(_$,_$)->_$`cPropositionalLogic``597746
oimports`1`x`(_$)->List(TypeAst)`dImportAst``597834
oin?`1`x`(DoubleFloat)->Boolean`pExpertSystemContinuityPackage1(A,B)``597895
oin?`2`x`(DoubleFloat,Segment(OrderedCompletion(DoubleFloat)))->Boolean`pExpertSystemToolsPackage``597984
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``598085
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``598172
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``598279
oinR?`1`n`(_$)->Boolean`dPattern(R)``598666
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``598761
oinc`1`x`(_$)->_$`cIntegerNumberSystem``598869
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``598912
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``599097
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``599282
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`599437
oincrease`1`x`(String)->Float`dAttributeButtons``599567
oincrease`2`x`(String,String)->Float`dAttributeButtons``599840
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``600142
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``600335
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``600520
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``600702
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``600781
oindex`1`x`(PositiveInteger)->_$`cFinite``600818
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``601065
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``601164
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``601372
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`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``601492
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``601589
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``601689
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``601789
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``601883
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``601977
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``602199
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``602421
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``602675
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``602929
oinfRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinfRittWu?`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``603165
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``603277
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``603389
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``603586
oinf`1`x`(_$)->R`cIntervalCategory(R)``603742
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``603804
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``603938
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``604075
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``604133
oinfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``604207
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``604347
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``604487
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``604627
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``604767
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``604880
oinfinity`0`x`()->_$`dOnePointCompletion(R)``604923
oinfix?`1`n`(_$)->Boolean`dOutputForm``604966
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``605076
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``605217
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``605301
oinit`0`n`()->A`xQuotientFieldCategory&(A,S)``0
oinit`0`n`()->S`xFiniteFieldCategory&(S)``0
oinit`0`n`()->S`xIntegerNumberSystem&(S)``0
oinit`0`n`()->S`xUnivariatePolynomialCategory&(S,R)``0
oinit`0`x`()->_$`cStepThrough``605357
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``605418
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``605643
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``605795
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``606229
oinitiallyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduce`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``606690
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``607013
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``607285
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``607560
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``607792
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``607973
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``608157
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``608275
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``608615
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``608732
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``608862
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``609214
oinputBinaryFile`1`x`(FileName)->_$`dInputBinaryFile``609290
oinputBinaryFile`1`x`(String)->_$`dInputBinaryFile``609415
oinputOutputBinaryFile`1`x`(FileName)->_$`dInputOutputBinaryFile``609540
oinputOutputBinaryFile`1`x`(String)->_$`dInputOutputBinaryFile``609683
oinput`0`n`()->_$`dIOMode``609821
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``609879
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``609993
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``610203
oinsert!`1`x`(Record(key:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(st--r:Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated"))))->_$`dIntegrationFunctionsTable``610267
oinsert!`1`x`(Record(key:Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat),entry:Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float)))->_$`dODEIntensityFunctionsTable``610334
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``610401
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``610528
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``610596
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``610692
oinsert!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`n`(S,A,Integer)->A`xListAggregate&(A,S)``0
oinsert!`3`x`(S,_$,Integer)->_$`cExtensibleLinearAggregate(S)``610787
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``610883
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``610988
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``611094
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``611221
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``611383
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``611481
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`x`(S,_$,Integer)->_$`cLinearAggregate(S)``611714
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``611929
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`612180
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``612223
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``612271
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)``612336
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)))`612376
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``612623
oint`1`n`(_$)->_$`dOutputForm``612732
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``612818
oint`2`n`(_$,_$)->_$`dOutputForm``612901
oint`3`n`(_$,_$,_$)->_$`dOutputForm``613021
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``613179
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``613220
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``613314
ointeger?`1`x`(_$)->Boolean`dFortranScalarType``613397
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``613489
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``613635
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``613739
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``613833
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``613957
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614015
ointegral?`2`n`(S,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`n`(S,UP)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`2`x`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614089
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614179
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``614272
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``614359
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``614445
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``615259
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``616073
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``616879
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``617693
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``617765
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``617962
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``618288
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``618424
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``618636
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``618844
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``619002
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``619095
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``619224
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`619310
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``619403
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``619542
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``619622
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`619691
ointegrate`1`x`(NumericalIntegrationProblem)->Result`pAnnaNumericalIntegrationPackage``619874
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`620423
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`620612
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`620729
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`620926
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`621115
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`621363
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`621552
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`621741
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`621932
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622121
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`622310
ointegrate`2`x`(Expression(Float),List(Segment(OrderedCompletion(Float))))->Result`pAnnaNumericalIntegrationPackage``622501
ointegrate`2`x`(Expression(Float),Segment(OrderedCompletion(Float)))->Result`pAnnaNumericalIntegrationPackage``623117
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``623742
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``623904
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``624017
ointegrate`2`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))))->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``624179
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`624341
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`624455
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`624585
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`624715
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`624845
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`624975
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,SIGNATURE(integrate,Coef(Coef,Symbol))),has(Coef,SIGNATURE(variables,List(Symbol)(Coef))))`625105
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`625235
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`625396
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`625623
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`625812
ointegrate`3`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float)->Result`pAnnaNumericalIntegrationPackage``625962
ointegrate`3`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float)->Result`pAnnaNumericalIntegrationPackage``626613
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),String)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``627273
ointegrate`3`x`(Expression(Float),SegmentBinding(OrderedCompletion(Float)),Symbol)->Union(Result,"failed")`pAnnaNumericalIntegrationPackage``628006
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``628735
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Expression(R))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``629142
ointegrate`3`x`(Fraction(Polynomial(R)),SegmentBinding(OrderedCompletion(Fraction(Polynomial(R)))),String)->Union(f1:OrderedCompletion(Expression(R)),f2:List(OrderedCompletion(Expression(R))),fail:"failed",pole:"potentialPole")`pRationalFunctionDefiniteIntegration(R)``629549
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`629956
ointegrate`4`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float)->Result`pAnnaNumericalIntegrationPackage``630106
ointegrate`4`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float)->Result`pAnnaNumericalIntegrationPackage``630713
ointegrate`5`x`(Expression(Float),List(Segment(OrderedCompletion(Float))),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``631329
ointegrate`5`x`(Expression(Float),Segment(OrderedCompletion(Float)),Float,Float,RoutinesTable)->Result`pAnnaNumericalIntegrationPackage``632008
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``632685
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``632880
ointeractiveEnv`0`x`()->_$`dEnvironment``633218
ointermediateResultsIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``633272
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``633548
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``633589
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``633747
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``633853
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``634027
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
ointernalDecompose`4`x`(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`x`(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`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``634201
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``634321
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``634441
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``634524
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``634648
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``634731
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``634856
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``635008
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``635278
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``635548
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``635834
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``636115
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``636259
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``636403
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``636450
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`x`(String)->Any`pTemplateUtilities``636499
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``636609
ointerpret`1`n`(_$)->Any`dInputForm``636733
ointersect`1`x`(List(_$))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``636796
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``636883
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``636984
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``637159
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``637236
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``637311
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``637578
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``637670
ointerval`1`x`(R)->_$`cIntervalCategory(R)``637736
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``637802
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)``637984
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``638057
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``638092
oinv`1`x`(_$)->_$`cDivisionRing``638127
oinv`1`x`(_$)->_$`cGroup``638220
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`638274
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`638341
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``638410
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``639095
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``639314
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``639526
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``639697
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``639765
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``639927
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`640147
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`640300
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`640462
oinverse`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,Field)`640594
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`640756
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``640831
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``640950
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``641165
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``641359
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``641544
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``641631
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``641745
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``641871
oip4Address`1`x`(String)->_$`dIP4Address``642017
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``642097
oiprint`1`n`(String)->Void`pInternalPrintPackage``642152
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`642247
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``642308
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``642392
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`642552
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``642891
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``643237
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``643460
ois?`2`n`(A,S)->Boolean`xOperatorCategory&(A,S)``0
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``643712
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``643772
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``643845
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``643958
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``644048
ois?`2`x`(_$,S)->Boolean`cOperatorCategory(S)``644130
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``644211
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`644310
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`644443
oisAnd`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``644941
oisConnected?`1`x`(_$)->Boolean`cNetworkClientSocket(T)``0
oisEquiv`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``645080
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``645222
oisExpt`1`n`(S)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`1`n`(S)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisExpt`1`n`(_$)->Union(Record(val:_$,exponent:NonNegativeInteger),"failed")`dPattern(R)``645328
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`645439
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)``645523
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`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`645635
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`645743
oisImplies`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``645849
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``645993
oisMult`1`n`(S)->Union(Record(coef:Integer,var:Kernel(S)),"failed")`xFunctionSpace&(S,R)``0
oisMult`1`x`(_$)->Union(Record(coef:Integer,var:Kernel(_$)),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`646093
oisNot`1`x`(_$)->Maybe(_$)`dPropositionalFormula(T)``646178
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``646297
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``646407
oisOpen?`1`x`(_$)->Boolean`dInputBinaryFile``646515
oisOpen?`1`x`(_$)->Boolean`dInputOutputBinaryFile``646579
oisOpen?`1`x`(_$)->Boolean`dOutputBinaryFile``646642
oisOr`1`x`(_$)->Maybe(Pair(_$,_$))`dPropositionalFormula(T)``646697
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``646835
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``646965
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`647102
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``647197
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``647347
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``647454
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`647549
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``647634
oisQuotient`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pExpertSystemToolsPackage``647731
oisTerm`1`x`(_$)->Maybe(T)`dPropositionalFormula(T)``647870
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``647985
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")`dPattern(R)``648101
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`648225
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``648319
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``648613
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``648796
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``648860
oiterationVar`1`n`(_$)->Identifier`dInAst``649045
oiterators`1`x`(_$)->List(SpadAst)`dCollectAst``649143
oiterators`1`x`(_$)->List(SpadAst)`dRepeatAst``649235
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``649318
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``649526
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``649734
ojacobian`2`x`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``650012
ojacobian`2`x`(Vector(Expression(DoubleFloat)),List(Symbol))->Matrix(Expression(DoubleFloat))`pd02AgentsPackage``650215
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``650289
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``650375
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``650591
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``650890
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``651189
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``651537
ojust`1`x`(T)->_$`dMaybe(T)``651885
okaratsubaDivide`2`n`(S,NonNegativeInteger)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``651944
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``652035
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``652201
okernel`1`n`(Symbol)->_$`dKernel(S)``652551
okernel`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
okernel`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
okernel`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``652612
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``652705
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``652787
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``652972
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``653138
okey`1`n`(_$)->Integer`dGraphImage``653208
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``653325
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``653483
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``653645
okeys`1`x`(_$)->List(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))`dIntegrationFunctionsTable``653712
okeys`1`x`(_$)->List(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))`dODEIntensityFunctionsTable``653771
okind`1`n`(S)->ConstructorKind`xConstructorCategory&(S)``0
okind`1`x`(_$)->ConstructorKind`cConstructorCategory``653832
okind`1`x`(_$)->ConstructorKind`dCategoryAst``653901
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``653993
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``654074
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``654121
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``654441
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``654879
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``655071
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``655183
olabel`2`n`(_$,_$)->_$`dOutputForm``655292
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``655365
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``655495
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``655649
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``655819
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``655964
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``656243
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``656412
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``656721
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``657085
olaplacian`2`x`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``657347
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`657496
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``657666
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``657826
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``658179
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`658366
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``658615
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`658750
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``659028
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`x`(_$)->S`cDoublyLinkedAggregate(S)``659724
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``659839
olast`1`x`(_$)->SpadAst`dSequenceAst``660006
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``660065
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``660241
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``660423
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``660507
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``660662
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``660794
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``660977
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``661047
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``661180
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``661292
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``661534
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``661592
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``661775
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``661943
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``662114
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``662282
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`662559
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`662633
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`662721
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``663234
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``663422
olazyPremWithDefault`2`n`(S,S)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``663632
olazyPremWithDefault`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPremWithDefault`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``663832
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``664065
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``664344
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)``664696
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``665030
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``665306
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``665628
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``665803
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``666086
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``666465
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`666781
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``666931
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``667024
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``667107
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pExpertSystemToolsPackage``667215
oldf2lst`1`x`(List(DoubleFloat))->List(String)`pd01AgentsPackage``667307
oldf2vmf`1`x`(List(DoubleFloat))->Vector(MachineFloat)`pExpertSystemToolsPackage``667402
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``667499
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``667673
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``667776
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``667874
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``668219
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``668320
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``668426
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``668476
oleadingCoefficient`1`n`(_$)->R`dMonoidRing(R,M)`has(M,OrderedSet)`668523
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``668691
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``668874
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``668971
oleadingCoefficient`1`x`(_$)->R`cFreeModuleCat(R,Basis)``669064
oleadingCoefficient`1`x`(_$)->R`cMonogenicLinearOperator(R)``669170
oleadingCoefficient`1`x`(_$)->R`cUnivariateSkewPolynomialCategory(R)``669282
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``669394
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``669585
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``669632
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``669745
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->M`dMonoidRing(R,M)`has(M,OrderedSet)`669789
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``669948
oleadingMonomial`1`x`(_$)->Basis`cFreeModuleCat(R,Basis)``669995
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``670112
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``670203
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``670286
oleadingTerm`1`x`(_$)->Record(k:Basis,c:R)`cFreeModuleCat(R,Basis)``670455
oleaf?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oleaf?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oleaf?`1`n`(_$)->Boolean`dSubSpace(n,R)``670547
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``670584
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``670645
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``670900
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``671231
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``671348
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``671482
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``671702
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``671922
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``672080
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``672448
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``672816
oleftDivide`2`n`(P,P)->Record(quotient:P,remainder:P)`pNonCommutativeOperatorDivision(P,F)``673117
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`673319
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`673521
oleftExactQuotient`2`n`(P,P)->Union(P,"failed")`pNonCommutativeOperatorDivision(P,F)``673769
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`673893
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`674017
oleftFactorIfCan`2`n`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``674125
oleftFactor`2`x`(UP,UP)->Union(UP,"failed")`pPolynomialDecomposition(UP,F)``674362
oleftGcd`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``674406
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`674642
oleftLcm`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``674878
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`675076
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`675275
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``675509
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``675635
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`675733
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`675790
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`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``675847
oleftPower`2`x`(_$,PositiveInteger)->_$`cMonad``676029
oleftQuotient`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``676211
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`676399
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`676587
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``676683
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`676922
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``677161
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`677319
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``677539
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``677728
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`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``677900
oleftRemainder`2`n`(P,P)->P`pNonCommutativeOperatorDivision(P,F)``678097
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`678286
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``678475
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``678665
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``678947
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``679229
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``679437
oleftTrim`2`x`(_$,Character)->_$`cStringAggregate``679530
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``679698
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`679877
oleftUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``680002
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`680125
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`680249
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``680306
oleft`1`n`(_$)->_$`dMagma(VarSet)``680462
oleft`1`n`(_$)->_$`dOutputForm``680613
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``680680
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``680754
oleft`2`n`(_$,Integer)->_$`dOutputForm``680800
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`680885
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``681051
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``681327
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``681678
olength`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``681789
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``681845
olength`1`n`(_$)->NonNegativeInteger`dTuple(S)``681937
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``682010
olength`1`n`(_$)->PositiveInteger`dMagma(VarSet)``682093
olength`1`x`(_$)->NonNegativeInteger`cQueueAggregate(S)``682176
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`682289
olength`1`x`(_$)->_$`cIntegerNumberSystem``682392
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``682446
oless?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
oless?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
oless?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oless?`2`n`(S,S)->Union(Boolean,"failed")`pUserDefinedPartialOrdering(S)``682480
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``682582
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``682658
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``682856
olevel`1`x`(_$)->Integer`dExitAst``682993
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``683054
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``683273
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``683459
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``683858
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``683925
olexico`2`n`(_$,_$)->Boolean`dMagma(VarSet)``684134
olexico`2`n`(_$,_$)->Boolean`dOrderedFreeMonoid(S)``684476
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``684643
olfextlimint`4`n`(F,Symbol,Kernel(F),List(Kernel(F)))->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``684802
olfinfieldint`2`n`(F,Symbol)->Union(F,"failed")`pElementaryIntegration(R,F)``685048
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``685178
olflimitedint`3`n`(F,Symbol,List(F))->Union(Record(mainpart:F,limitedlogs:List(Record(coeff:F,logand:F))),"failed")`pElementaryIntegration(R,F)``685249
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``685475
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``685698
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``685753
olhs`1`x`(_$)->S`dEquation(S)``685823
olhs`1`x`(_$)->SpadAst`dCaseAst``685897
olhs`1`x`(_$)->SpadAst`dColonAst``685973
olhs`1`x`(_$)->SpadAst`dHasAst``686050
olhs`1`x`(_$)->SpadAst`dIsAst``686125
olhs`1`x`(_$)->SpadAst`dLetAst``686199
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``686281
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``686334
olibrary`1`x`(FileName)->_$`dLibrary``686456
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``686510
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``686717
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``686924
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``687240
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``687556
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``687648
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``687684
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``687786
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)``687824
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)``687859
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)``687921
olight`1`x`(Color)->_$`dPalette``687977
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``688069
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``688330
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``688402
olimit`2`x`(FE,Equation(OrderedCompletion(FE)))->Union(OrderedCompletion(FE),Record(leftHandLimit:Union(OrderedCompletion(FE),"failed"),rightHandLimit:Union(OrderedCompletion(FE),"failed")),"failed")`pPowerSeriesLimitPackage(R,FE)``688476
olimit`2`x`(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)``688557
olimit`2`x`(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)``688681
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``688805
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``688994
olimitedIntegrate`3`x`(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)``689259
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)``689521
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``689759
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``689797
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``689948
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``690052
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``690178
olinear?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``690330
olinear?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``690403
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`690504
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`691176
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`691329
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`691565
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``691720
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``691955
olinearMatrix`2`x`(List(Expression(DoubleFloat)),NonNegativeInteger)->Matrix(DoubleFloat)`pe04AgentsPackage``692179
olinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``692346
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``692432
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``692624
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``692662
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``692702
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``692858
olinears`2`x`(U,Integer)->U`pModularDistinctDegreeFactorizer(U)``693023
olinkToFortran`4`x`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``693202
olinkToFortran`4`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``693256
olinkToFortran`5`x`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``693311
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``693368
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``693437
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``693518
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``693634
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``693750
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``693987
olistOfLists`1`n`(S)->List(List(R))`xMatrixCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cMatrixCategory(R,Row,Col)``694104
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``694193
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``694282
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``694358
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``694440
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``694808
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``695281
olist`1`x`(_$)->List(_$)`dSymbol``695345
olistexp`1`n`(BP)->List(NonNegativeInteger)`pNPCoef(BP,E,OV,R,P)``695449
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``695485
olittleEndian`0`n`()->_$`dByteOrder``695554
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``695610
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``695880
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``696138
olo`1`x`(_$)->S`cSegmentCategory(S)``696394
oloadNativeModule`1`n`(String)->Void`dSystem``696481
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``696579
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,x)``696781
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``696983
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``697826
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``698675
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``699516
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``700365
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``700425
olog10`0`x`()->_$`dFloat``700479
olog10`1`x`(_$)->_$`dDoubleFloat``700547
olog10`1`x`(_$)->_$`dFloat``700620
olog10`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``700691
olog2`0`x`()->_$`dFloat``700762
olog2`1`x`(_$)->_$`dDoubleFloat``700848
olog2`1`x`(_$)->_$`dFloat``700919
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``700988
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``701112
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``701236
olog`1`n`(F)->F`pElementaryFunction(R,F)``701323
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``701387
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)``701531
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``701589
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``701647
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``701718
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``701791
olog`1`x`(_$)->_$`cElementaryFunctionCategory``701863
olog`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``701927
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``701994
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`702114
ological?`1`x`(_$)->Boolean`dFortranScalarType``702238
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``702330
olookupFunction`1`n`(_$)->Identifier`dFunctorData``702410
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``702524
olookup`1`x`(_$)->PositiveInteger`cFinite``702598
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``702686
olow`1`x`(_$)->S`cSegmentCategory(S)``703160
olowerCase!`1`x`(_$)->_$`cStringAggregate``703249
olowerCase?`1`x`(_$)->Boolean`dCharacter``703353
olowerCase`0`x`()->_$`dCharacterClass``703464
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``703588
olowerCase`1`x`(_$)->_$`dCharacter``703669
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``703840
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``703992
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``704288
olquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``704490
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``704572
olquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``704764
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``704960
olquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``705074
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``705164
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``705245
olyndon?`1`n`(OrderedFreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``705339
olyndonIfCan`1`n`(OrderedFreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``705415
olyndon`1`n`(OrderedFreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``705497
omagnitude`1`n`(S)->R`xVectorCategory&(S,R)``0
omagnitude`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`705624
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``705727
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``705838
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`706175
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``706408
omainExpression`1`x`(_$)->SpadAst`dWhereAst``706535
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``706626
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`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``706716
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``706877
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``707137
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`707461
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`707707
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``707956
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``708080
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``708234
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``708393
omainVariable`1`x`(_$)->Union(VarSet,"failed")`cPolynomialCategory(R,E,VarSet)``708552
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``708752
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``708912
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``708998
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``709035
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``709159
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``709266
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``709362
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``709618
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``709941
omakeGraphImage`1`n`(_$)->_$`dGraphImage``710299
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``710717
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``711295
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``711933
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``712017
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``712279
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``712541
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``712847
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``713178
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``713434
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``713711
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``714024
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``714355
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``714767
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``715113
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``715514
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``715876
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``716251
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``716662
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``717096
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``717593
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``717734
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``717817
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``717944
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``718062
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``718148
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``719041
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``719174
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`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``719241
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`719556
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``719884
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``720024
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``720246
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``720579
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``720805
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``721138
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``721380
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``721655
omakeprod`2`n`(A,B)->_$`dProduct(A,B)``721708
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``721750
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``721840
omantissa`1`x`(_$)->Integer`dMachineFloat``721905
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`((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`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``721964
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`722049
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``722161
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``722266
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``722350
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``722785
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``723377
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``723462
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``723547
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``723632
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``723758
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``723841
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``723924
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``724007
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``724090
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``724259
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``724301
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``724464
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``724566
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``724668
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``724990
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``725468
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``725574
omap`2`n`((R)->R,S)->S`xAbelianMonoidRing&(S,R,E)``0
omap`2`n`((R)->R,S)->S`xComplexCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xOctonionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xQuaternionCategory&(S,R)``0
omap`2`n`((R)->R,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`2`n`((R)->R,_$)->_$`dAntiSymm(R,lVar)``725613
omap`2`n`((R)->R,_$)->_$`dMonoidRing(R,M)``725705
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``725814
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``725910
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``726039
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``726133
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``726170
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``726317
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``726457
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``726581
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``726656
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``726822
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``727006
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``727143
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``727315
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``727426
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``727619
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``727759
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``727918
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``727955
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``727992
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``728029
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``728148
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``728254
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``728360
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``728399
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``728494
omap`2`x`((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)``728532
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``728571
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``728610
omap`2`x`((R)->R,_$)->_$`cFreeModuleCat(R,Basis)``728719
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``728842
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``728935
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``729037
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``729132
omap`2`x`((R)->R,_$)->_$`dFactored(R)``729228
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``729502
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``729599
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``729790
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``729870
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``729955
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``730227
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``730404
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``730492
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``730606
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``730777
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``730814
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``731101
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``731223
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``731368
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`731458
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``731679
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``731746
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``731822
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``731955
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`732088
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``732176
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``732287
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``732367
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``732406
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``732445
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``732538
omap`2`x`((R1)->R2,Matrix(R1))->Matrix(R2)`pExpertSystemToolsPackage2(R1,R2)``732631
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``732765
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``732802
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``732895
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``733055
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``733214
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``733310
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``733525
omap`2`x`((S)->S,_$)->_$`dEquation(S)``733735
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``733836
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``733916
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``734042
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,String,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``734133
omap`3`n`((R,R)->R,S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
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`((Vars)->S,(R)->S,P)->S`pPolynomialCategoryLifting(E,Vars,R,P,S)``734270
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``734575
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``734614
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``734653
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``735064
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``735103
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``735334
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``735576
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``735693
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``735829
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``735933
omap`4`n`((R,R)->R,S,S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omap`4`x`((R)->S,OrderedCompletion(R),OrderedCompletion(S),OrderedCompletion(S))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``736240
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``736408
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`736714
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``736791
omappingAst`2`x`(List(TypeAst),TypeAst)->_$`dMappingAst``736869
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``736950
omat`2`x`(List(DoubleFloat),NonNegativeInteger)->Matrix(DoubleFloat)`pExpertSystemToolsPackage``737018
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``737083
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``737268
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``737669
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``738037
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``738394
omatch`3`x`(_$,_$,Character)->NonNegativeInteger`cStringAggregate``738765
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``739297
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``739680
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``740048
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``740138
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``740360
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``740450
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``740669
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``740759
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``740979
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``741069
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``741289
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``741379
omatrixConcat3D`3`x`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``741599
omatrixDimensions`1`x`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``741695
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``741764
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``741934
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``742044
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``742190
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``742336
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``742420
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``742512
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`742602
omaxPoints3D`0`n`()->Integer`dPlot3D``742853
omaxPoints`0`n`()->Integer`dPlot``742929
omaxPoints`0`x`()->Integer`pGraphicsDefaults``743002
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``743076
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``743147
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``743236
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`743323
omax`0`x`()->_$`cOrderedFinite``743386
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`743432
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``743504
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`x`(_$,_$)->_$`cOrderedSet``743581
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``743673
omaxdeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXPolynomialsCat(vl,R)``743831
omaximumExponent`0`x`()->Integer`dMachineFloat``743917
omaximumExponent`1`x`(Integer)->Integer`dMachineFloat``743991
omaxint`0`x`()->PositiveInteger`dMachineInteger``744075
omaxint`1`x`(PositiveInteger)->PositiveInteger`dMachineInteger``744139
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``744213
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``744295
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``744366
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String)))->Result`pExpertSystemToolsPackage``744605
omeasure2Result`1`x`(Record(measure:Float,name:String,explanations:List(String),extra:Result))->Result`pExpertSystemToolsPackage``744689
omeasure`1`x`(NumericalIntegrationProblem)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``744773
omeasure`1`x`(NumericalODEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``745223
omeasure`1`x`(NumericalOptimizationProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``745954
omeasure`1`x`(NumericalPDEProblem)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``746575
omeasure`2`x`(NumericalIntegrationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String),extra:Result)`pAnnaNumericalIntegrationPackage``747305
omeasure`2`x`(NumericalODEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaOrdinaryDifferentialEquationPackage``747826
omeasure`2`x`(NumericalOptimizationProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaNumericalOptimizationPackage``748586
omeasure`2`x`(NumericalPDEProblem,RoutinesTable)->Record(measure:Float,name:String,explanations:List(String))`pAnnaPartialDifferentialEquationPackage``749236
omeasure`2`x`(RoutinesTable,Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``749995
omeasure`2`x`(RoutinesTable,Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String,extra:Result)`cNumericalIntegrationCategory``750530
omeasure`2`x`(RoutinesTable,Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Record(measure:Float,explanations:String)`cNumericalOptimizationCategory``751051
omeasure`2`x`(RoutinesTable,Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat))->Record(measure:Float,explanations:String)`cPartialDifferentialEquationsSolverCategory``751586
omeasure`2`x`(RoutinesTable,Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String,extra:Result)`cNumericalIntegrationCategory``752107
omeasure`2`x`(RoutinesTable,Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Record(measure:Float,explanations:String)`cOrdinaryDifferentialEquationsSolverCategory``752628
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`753149
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`754187
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`754573
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`754746
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``755819
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``755940
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``756575
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``756677
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`756796
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(FunctionDescriptor)`dOverloadSet``756984
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`757139
omembers`1`x`(_$)->List(S)`dMultiset(S)``757335
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`757465
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``757554
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`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``757680
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``757777
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``757959
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``758279
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``758358
omerge`2`n`(A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge`2`n`(A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``758543
omerge`2`x`(_$,_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`758632
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``758789
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``758917
omerge`3`n`((S,S)->Boolean,A,A)->A`xFiniteLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cFiniteLinearAggregate(S)``759092
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``759719
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``759933
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``759986
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``760040
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``760091
omeshPar2Var`7`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``760145
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``760202
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``760420
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``760682
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``761401
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``762285
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``762826
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``763577
omessagePrint`1`n`(String)->Void`dOutputForm``763940
omessage`1`n`(String)->_$`dOutputForm``764080
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``764165
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``764237
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``764314
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``764419
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``764524
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``764617
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``764708
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`764746
ominPoints3D`0`n`()->Integer`dPlot3D``764962
ominPoints`0`n`()->Integer`dPlot``765038
ominPoints`0`x`()->Integer`pGraphicsDefaults``765111
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``765185
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``765256
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``765291
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`765326
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`765396
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``765465
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``765555
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,ATTRIBUTE(arbitraryExponent))),not(has(_$,ATTRIBUTE(arbitraryPrecision))))`765643
omin`0`x`()->_$`cOrderedFinite``765706
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`765752
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``765825
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`x`(_$,_$)->_$`cOrderedSet``765909
omindegTerm`1`x`(_$)->Record(k:OrderedFreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``766001
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``766078
omindeg`1`x`(_$)->OrderedFreeMonoid(vl)`cXFreeAlgebra(vl,R)``766236
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``766332
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``766451
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`766572
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`766651
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``766808
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``766884
ominimumDegree`1`x`(_$)->NonNegativeInteger`cMonogenicLinearOperator(R)``767007
ominimumDegree`1`x`(_$)->NonNegativeInteger`cUnivariateSkewPolynomialCategory(R)``767152
ominimumDegree`2`n`(S,List(SingletonAsOrderedSet))->List(NonNegativeInteger)`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`n`(S,SingletonAsOrderedSet)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`2`x`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``767296
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``767452
ominimumExponent`0`x`()->Integer`dMachineFloat``767622
ominimumExponent`1`x`(Integer)->Integer`dMachineFloat``767696
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``767780
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`767904
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,ATTRIBUTE(commutative("*")))`768028
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)``768116
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``768198
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``768347
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``768496
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``768695
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``768748
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``768797
omirror`1`n`(_$)->_$`dMagma(VarSet)``768895
omirror`1`n`(_$)->_$`dOrderedFreeMonoid(S)``769167
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``769230
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``769344
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``769444
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``769479
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``769641
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`769896
omkcomm`1`x`(Integer)->_$`dCommutator``770015
omkcomm`2`x`(_$,_$)->_$`dCommutator``770055
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``770097
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``770140
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``770403
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``770635
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``771133
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``771599
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``771910
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``772408
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``772540
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``772656
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFramedModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`773491
omodule`1`n`(Vector(A))->_$`dFramedModule(R,F,UP,A,ibasis)``773567
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``773661
omodulus`0`n`()->Rep`dModMonic(R,Rep)``773724
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``773762
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``773817
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``773856
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``773895
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``773934
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``774210
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``774278
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``774381
omonicCompleteDecompose`1`n`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``774594
omonicDecomposeIfCan`1`n`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``774801
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)``774943
omonicDivide`3`n`(S,S,VarSet)->Record(quotient:S,remainder:S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonicDivide`3`x`(_$,_$,VarSet)->Record(quotient:_$,remainder:_$)`cPolynomialCategory(R,E,VarSet)``775129
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`775374
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`775605
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``775882
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``776113
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`776265
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`776498
omonicRightFactorIfCan`2`n`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``776777
omonomRDE`3`n`(Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),c:Fraction(UP),t:UP),"failed")`pTranscendentalRischDE(F,UP)``777036
omonomRDEsys`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->UP)->Union(Record(a:UP,b:Fraction(UP),h:UP,c1:Fraction(UP),c2:Fraction(UP),t:UP),"failed")`pTranscendentalRischDESystem(F,UP)``777359
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``777726
omonom`2`x`(Basis,R)->_$`cFreeModuleCat(R,Basis)``777821
omonom`2`x`(OrderedFreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``777940
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``778035
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``778102
omonomial?`1`n`(_$)->Boolean`dMonoidRing(R,M)``778143
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``778210
omonomial?`1`x`(_$)->Boolean`cFreeModuleCat(R,Basis)``778277
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``778364
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``778437
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``778599
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(R,E)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``778815
omonomial`2`n`(R,M)->_$`dMonoidRing(R,M)``778857
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``778942
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``778984
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,Q)``779092
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``779193
omonomial`2`x`(R,NonNegativeInteger)->_$`cMonogenicLinearOperator(R)``779288
omonomial`2`x`(R,NonNegativeInteger)->_$`cUnivariateSkewPolynomialCategory(R)``779414
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(Expon))->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,List(SingletonAsOrderedSet),List(NonNegativeInteger))->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(S,SingletonAsOrderedSet,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`3`n`(S,SingletonAsOrderedSet,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`x`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``779540
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``779630
omonomial`3`x`(_$,List(VarSet),List(NonNegativeInteger))->_$`cPolynomialCategory(R,E,VarSet)``779726
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``779801
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``779855
omonomial`3`x`(_$,VarSet,NonNegativeInteger)->_$`cPolynomialCategory(R,E,VarSet)``779907
omonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`dMonoidRing(R,M)``780068
omonomials`1`x`(_$)->List(_$)`cFreeModuleCat(R,Basis)``780150
omonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``780235
omore?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
omore?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
omore?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omore?`2`n`(S,S)->Boolean`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`780413
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``780620
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``780699
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``781006
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``781313
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``781394
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``781474
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``781600
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``781846
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``782096
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``782186
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``782264
omr`1`n`(List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``782433
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``782608
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``782684
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``782729
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``782783
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``782986
omultiple?`1`n`(_$)->Boolean`dPattern(R)``783095
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``783240
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``783546
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``783816
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``783977
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``784187
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``784405
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``784538
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``784706
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``784831
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``784949
omultiset`0`x`()->_$`dMultiset(S)``785090
omultiset`1`x`(List(S))->_$`dMultiset(S)``785171
omultiset`1`x`(S)->_$`dMultiset(S)``785247
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``785317
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``785418
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``785519
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``785651
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``785783
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``785831
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``785932
omvar`1`n`(S)->V`xRecursivePolynomialCategory&(S,R,E,V)``0
omvar`1`n`(S)->V`xTriangularSetCategory&(S,R,E,V,P)``0
omvar`1`x`(_$)->V`cRecursivePolynomialCategory(R,E,V)``786071
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``786294
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``786454
oname`1`n`(_$)->Identifier`dOverloadSet``786493
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``786562
oname`1`n`(_$)->Symbol`dRuleCalled(f)``786603
oname`1`x`(_$)->Identifier`dBinding``786644
oname`1`x`(_$)->Identifier`dHeadAst``786703
oname`1`x`(_$)->Identifier`dProperty``786776
oname`1`x`(_$)->Identifier`dSignatureAst``786836
oname`1`x`(_$)->Name`cFileCategory(Name,S)``786904
oname`1`x`(_$)->S`cOperatorCategory(S)``786974
oname`1`x`(_$)->SpadAst`dAttributeAst``787037
oname`1`x`(_$)->String`cFileNameCategory``787162
oname`1`x`(_$)->_$`dSymbol``787224
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``787284
onand`2`x`(_$,_$)->_$`dBoolean``787389
onary?`1`x`(_$)->Boolean`dBasicOperator``787468
onativeModuleExtension`0`n`()->String`dSystem``787532
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``787639
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``787716
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``787791
onegative?`1`x`(_$)->Boolean`cOrderedRing``787922
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``787997
oneglist`1`x`(List(R1))->List(R1)`pExpertSystemToolsPackage1(R1)``788099
onewLine`0`x`()->String`pDisplayPackage``788180
onewReduc`0`n`()->Void`pFunctionSpaceReduce(R,F)``788240
onewSubProgram`1`x`(Symbol)->Void`dTheSymbolTable``788279
onewTypeLists`1`x`(_$)->SExpression`dSymbolTable``788386
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``788430
onew`0`n`()->_$`dPatternMatchResult(R,S)``788484
onew`0`n`()->_$`dSubSpace(n,R)``788538
onew`0`n`()->_$`dSubSpaceComponentProperty``788572
onew`0`x`()->_$`dDataArray(N,T)``788606
onew`0`x`()->_$`dScriptFormulaFormat``788685
onew`0`x`()->_$`dSymbol``788860
onew`0`x`()->_$`dTexFormat``788928
onew`1`n`(R)->_$`dSquareMatrix(ndim,R)``789099
onew`1`x`(_$)->_$`dSymbol``789233
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``789310
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``789381
onew`3`x`(String,String,String)->_$`cFileNameCategory``789473
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``789785
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``790106
onextItem`1`n`(A)->Union(A,"failed")`xQuotientFieldCategory&(A,S)``0
onextItem`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xIntegerNumberSystem&(S)``0
onextItem`1`n`(S)->Union(S,"failed")`xUnivariatePolynomialCategory&(S,R)``0
onextItem`1`x`(_$)->Union(_$,"failed")`cStepThrough``790813
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``790900
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``791338
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``792174
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``793168
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``793560
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``793952
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``794036
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``795097
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``795921
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``796014
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``797065
onextsousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``797291
onextsubResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`797552
onil?`1`x`(_$)->Boolean`dSyntax``797790
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``797877
onil`0`x`()->_$`dList(S)``798029
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`798073
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``798345
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``798442
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,SetCategory)`798685
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``798814
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``798927
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``799066
ononLinearPart`1`x`(List(Expression(DoubleFloat)))->List(Expression(DoubleFloat))`pe04AgentsPackage``799147
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``799240
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``799280
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`799400
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``799520
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``799621
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``799722
onor`2`x`(_$,_$)->_$`dBoolean``799825
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``799902
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``799943
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``799986
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``800100
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``800231
onorm`1`n`(_$)->F`dFramedModule(R,F,UP,A,ibasis)``800293
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``800356
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``800474
onorm`1`x`(_$)->R`cComplexCategory(R)``800616
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``800677
onorm`1`x`(_$)->R`cOctonionCategory(R)``800792
onorm`1`x`(_$)->R`cQuaternionCategory(R)``800902
onorm`1`x`(_$)->_$`cRealNumberSystem``800998
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``801055
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``801183
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``801312
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``801391
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``801486
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``801620
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``801755
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``801883
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``802012
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``802146
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`802281
onormal01`0`n`()->Float`pRandomFloatDistributions``802582
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``802621
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``802786
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`802885
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``803168
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``803301
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`803400
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``803848
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`803959
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``804132
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``804372
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``804412
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``804577
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``804649
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``804781
onormalize`1`x`(_$)->_$`dFloat``804901
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``804970
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``805112
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``805225
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``805446
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``805670
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``805839
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``806023
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``806354
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`806554
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``806754
onot`1`x`(_$)->_$`cBitAggregate``806810
onot`1`x`(_$)->_$`cPropositionalLogic``806896
onot`1`x`(_$)->_$`dSingleInteger``806960
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``807054
onothing`0`x`()->_$`dMaybe(T)``807137
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)``807199
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``807234
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``807308
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)``807380
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``807418
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``807500
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``807584
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``807668
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dOrderedFreeMonoid(S)``807752
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``807843
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``808057
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``808140
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``808223
onthFactor`2`n`(_$,Integer)->S`dOrderedFreeMonoid(S)``808306
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``808396
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``808675
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``808754
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``808976
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``809143
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``809254
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``809551
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``809619
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``809675
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,ATTRIBUTE(shallowlyMutable))`809756
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,ATTRIBUTE(shallowlyMutable))`809842
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`809928
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`810014
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`810100
onull`1`x`(_$)->Boolean`dList(S)``810187
onullary?`1`x`(_$)->Boolean`dBasicOperator``810251
onullary`1`x`(A)->()->A`pMappingPackage1(A)``810309
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``810393
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`810526
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`810659
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`810792
onumFunEvals3D`0`n`()->Integer`dPlot3D``810925
onumFunEvals`0`n`()->Integer`dPlot``810994
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`811060
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``811115
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``811163
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``811255
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``811347
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``811542
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``812008
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``812187
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``812289
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``812482
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``812771
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``812857
onumberOfHues`0`x`()->PositiveInteger`dColor``812998
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``813081
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``813519
onumberOfMonomials`1`n`(_$)->NonNegativeInteger`dMonoidRing(R,M)``813692
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``813803
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFreeModuleCat(R,Basis)``813901
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``813981
onumberOfOperations`1`x`(Vector(Expression(DoubleFloat)))->Record(additions:Integer,multiplications:Integer,exponentiations:Integer,functionCalls:Integer)`pExpertSystemToolsPackage``814127
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``814272
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumer`1`n`(_$)->A`dLocalAlgebra(A,R,S)``814424
onumer`1`n`(_$)->M`dLocalize(M,R,S)``814481
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``814538
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``814648
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``814720
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``814791
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`814901
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`815140
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``815218
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``815304
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`815502
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`815627
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`815752
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`815877
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`816035
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`816192
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`816349
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`816416
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`816483
onumeric`1`x`(S)->Float`pNumeric(S)``816550
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`816617
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`816717
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`816816
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``816915
onumericalIntegration`2`x`(Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``817015
onumericalIntegration`2`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),Result)->Result`cNumericalIntegrationCategory``817164
onumericalOptimization`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Result`cNumericalOptimizationCategory``817313
onumericalOptimization`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->Result`cNumericalOptimizationCategory``817458
oobj`1`x`(_$)->None`dAny``817603
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``817755
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``817986
oocf2ocdf`1`x`(OrderedCompletion(Float))->OrderedCompletion(DoubleFloat)`pExpertSystemToolsPackage``818299
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``818437
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``818545
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`818627
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``818694
oodd?`1`x`(_$)->Boolean`dPermutation(S)``818768
ooddInfiniteProduct`1`n`(Stream(Coef))->Stream(Coef)`pStreamInfiniteProduct(Coef)``818901
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductCharacteristicZero(Coef,UTS)``819044
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductFiniteField(K,UP,Coef,UTS)``819187
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteProductPrimeField(Coef,UTS)``819330
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``819473
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``819534
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``819860
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``820234
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``820321
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``820439
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``820573
oone?`1`n`(S)->Boolean`xMonadWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xMonoid&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`x`(_$)->Boolean`cMonadWithUnit``820638
oone?`1`x`(_$)->Boolean`cMonoid``820698
oone?`1`x`(_$)->Boolean`dArity``820753
oone?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``820826
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``820932
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``821019
oop`1`n`(P)->_$`dOppositeMonogenicLinearOperator(P,R)``821116
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``821189
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``821264
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``821328
ooperation`1`x`(_$)->Union(Null:"null",Assignment:"assignment",Conditional:"conditional",Return:"return",Block:"block",Comment:"comment",Call:"call",For:"for",While:"while",Repeat:"repeat",Goto:"goto",Continue:"continue",ArrayAssignment:"arrayAssignment",Save:"save",Stop:"stop",Common:"common",Print:"print")`dFortranCode``821442
ooperations`1`n`(S)->List(OverloadSet)`xConstructorCategory&(S)``0
ooperations`1`x`(_$)->List(OverloadSet)`cConstructorCategory``821528
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``821691
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``821923
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``822093
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``822183
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``822355
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``822434
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``822546
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``822724
ooperator`1`n`(_$)->SpadAst`dReduceAst``822787
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``822856
ooperator`1`x`(Symbol)->_$`dBasicOperator``822968
ooperator`2`x`(Symbol,Arity)->_$`dBasicOperator``823048
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``823128
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``823203
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``823320
ooptAttributes`1`x`(Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat))))->List(String)`pe04AgentsPackage``823373
ooptimize`1`x`(NumericalOptimizationProblem)->Result`pAnnaNumericalOptimizationPackage``823481
ooptimize`2`x`(Expression(Float),List(Float))->Result`pAnnaNumericalOptimizationPackage``823867
ooptimize`2`x`(List(Expression(Float)),List(Float))->Result`pAnnaNumericalOptimizationPackage``824364
ooptimize`2`x`(NumericalOptimizationProblem,RoutinesTable)->Result`pAnnaNumericalOptimizationPackage``824913
ooptimize`4`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``825352
ooptimize`5`x`(Expression(Float),List(Float),List(OrderedCompletion(Float)),List(Expression(Float)),List(OrderedCompletion(Float)))->Result`pAnnaNumericalOptimizationPackage``825955
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``826929
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``827130
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``827316
ooptional?`1`n`(_$)->Boolean`dPattern(R)``827459
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``827563
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``827737
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``827876
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``828104
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``828333
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``828625
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``828908
oor`2`n`(_$,_$)->_$`dOutputForm``829022
oor`2`x`(_$,_$)->_$`cBitAggregate``829078
oor`2`x`(_$,_$)->_$`cPropositionalLogic``829178
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``829260
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``829465
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``829652
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``829840
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``829943
oord`1`x`(_$)->NonNegativeInteger`dCharacter``830078
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``830219
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``830256
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``830293
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``830330
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``830367
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``830523
oorder`1`x`(_$)->Integer`cFloatingPointSystem``830679
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``830801
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``831007
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``831124
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``831220
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``831307
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``831372
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``831495
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`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``831631
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``831715
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``831830
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``831953
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`832105
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``832271
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``832312
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``832373
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`832538
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``832680
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``833082
ooutputAsFortran`0`x`()->Void`dAsp12(name)``833215
ooutputAsFortran`0`x`()->Void`dAsp29(name)``833296
ooutputAsFortran`0`x`()->Void`dAsp33(name)``833377
ooutputAsFortran`1`x`(FileName)->Void`pFortranPackage``833458
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``833508
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``833678
ooutputAsFortran`1`x`(_$)->Void`cFortranProgramCategory``833752
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``833854
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``834003
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``834191
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``834343
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``834504
ooutputBinaryFile`1`x`(FileName)->_$`dOutputBinaryFile``834628
ooutputBinaryFile`1`x`(String)->_$`dOutputBinaryFile``834755
ooutputFixed`0`x`()->Void`dFloat``834882
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``834997
ooutputFloating`0`x`()->Void`dFloat``835130
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``835313
ooutputForm`1`n`(DoubleFloat)->_$`dOutputForm``835468
ooutputForm`1`n`(Integer)->_$`dOutputForm``835540
ooutputForm`1`n`(String)->_$`dOutputForm``835606
ooutputForm`1`n`(Symbol)->_$`dOutputForm``835671
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``835736
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``835916
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``836036
ooutputGeneral`0`x`()->Void`dFloat``836621
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``836812
ooutputList`1`x`(List(Any))->Void`pOutputPackage``836928
ooutputMeasure`1`x`(Float)->String`pExpertSystemToolsPackage``837138
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``837232
ooutput`0`n`()->_$`dIOMode``837372
ooutput`1`x`(OutputForm)->Void`pOutputPackage``837431
ooutput`1`x`(String)->Void`pOutputPackage``837579
ooutput`2`x`(Integer,_$)->Void`dStream(S)`has(S,SetCategory)`837722
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``837812
oover`2`n`(_$,_$)->_$`dOutputForm``837987
ooverbar`1`n`(_$)->_$`dOutputForm``838079
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``838147
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``838240
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dOrderedFreeMonoid(S)``838437
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``838640
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``838780
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``838866
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``838954
opack!`1`x`(_$)->_$`dLibrary``839040
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``839126
opackage`0`n`()->_$`dConstructorKind``839215
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``839269
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``839489
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``839792
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``840095
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``840410
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``840677
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``840819
opair`2`x`(S,T)->_$`dPair(S,T)``840898
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))`840983
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))`841163
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))`841398
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)``841526
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)``841985
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``842503
opalgextint0`6`n`(F,Kernel(F),Kernel(F),F,F,SparseUnivariatePolynomial(F))->Union(Record(ratpart:F,coeff:F),"failed")`pGenusZeroIntegration(R,F,L)``842903
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)``843156
opalgextint`4`n`(F,Kernel(F),Kernel(F),F)->Union(Record(ratpart:F,coeff:F),"failed")`pPureAlgebraicIntegration(R,F,L)``843573
opalginfieldint`2`n`(R,(UP)->UP)->Union(R,"failed")`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``843781
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``843981
opalgint0`6`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``844153
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``844456
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``844580
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)``844728
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)``845087
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)``845508
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``845797
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``846041
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``846248
oparametersOf`1`x`(_$)->List(Symbol)`dSymbolTable``846503
oparameters`1`n`(_$)->List(Identifier)`dAnonymousFunction``846592
oparameters`1`x`(_$)->List(Identifier)`dHeadAst``846672
oparametric?`1`n`(_$)->Boolean`dPlot``846768
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``846838
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``846966
oparen`1`x`(List(_$))->_$`cExpressionSpace``847041
oparen`1`x`(_$)->_$`cExpressionSpace``847324
oparent`1`n`(_$)->_$`dSubSpace(n,R)``847547
oparents`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``847730
oparseString`1`n`(String)->_$`dInputForm``847840
oparse`1`x`(String)->List(Syntax)`pSpadParser``847919
opart?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
opart?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``848249
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``848383
opartialFraction`2`n`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``848604
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``848755
opartialFraction`3`n`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``848918
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``849150
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``849365
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``849588
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``849638
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``849740
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``849842
opartition`1`n`(List(Integer))->_$`dPartition``850161
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``850242
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``850423
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``850496
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``850668
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`x`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``850870
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,ATTRIBUTE(finiteAggregate))`850955
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``851149
opastel`1`x`(Color)->_$`dPalette``851296
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)``851392
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)``851647
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`851961
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``852162
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``852353
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``852535
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``852727
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`852906
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``853091
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)``853278
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``853495
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``853800
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``854057
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``854438
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``854629
opdct`1`n`(_$)->Integer`dPartition``854732
opdf2df`1`x`(Polynomial(DoubleFloat))->DoubleFloat`pExpertSystemToolsPackage``854885
opdf2ef`1`x`(Polynomial(DoubleFloat))->Expression(Float)`pExpertSystemToolsPackage``855052
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``855153
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``855271
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``855434
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``855574
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``855702
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``855813
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``857079
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``857191
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``857375
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``857611
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``857820
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``857973
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``858138
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``858284
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``858440
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``858546
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``858799
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``859055
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``859172
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``859274
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`x`()->_$`cTranscendentalFunctionCategory``859324
opi`0`x`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``859375
opi`0`x`()->_$`dPi``859509
opile`1`n`(List(_$))->_$`dOutputForm``859562
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``859762
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``859914
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``860301
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``860769
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``860986
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``861203
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``861320
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``861436
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``861524
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``861653
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``861691
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``861729
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``861871
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``862020
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``862210
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``862289
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``862410
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``862586
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``862830
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``862884
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``863074
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``863126
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``863174
oplus`2`x`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`863292
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``863390
opmComplexintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`863515
opmintegrate`2`n`(F,Symbol)->Union(Record(special:F,integrand:F),"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,LiouvillianFunctionCategory))`863726
opmintegrate`4`n`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F))->Union(F,"failed")`pPatternMatchIntegration(R,F)`AND(has(R,ConvertibleTo(Pattern(Integer))),has(R,PatternMatchable(Integer)),has(F,SpecialFunctionCategory))`863852
opo`1`n`(_$)->P`dOppositeMonogenicLinearOperator(P,R)``864007
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``864080
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``864244
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``864332
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``864442
opointColor`1`x`(Float)->_$`dDrawOption``864668
opointColor`1`x`(Palette)->_$`dDrawOption``864811
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``864982
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``865102
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``865250
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865431
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``865592
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``865855
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``865904
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``865994
opoint`1`x`(List(R))->_$`cPointCategory(R)``866094
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``866207
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``866327
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``866507
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``866757
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``866919
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``867161
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``867499
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``867738
opoisson`1`n`(RationalNumber)->()->Integer`pRandomIntegerDistributions``868002
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``868041
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``868515
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`868623
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``868738
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``868950
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``869089
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``869164
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)``869231
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``869781
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``870165
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``870563
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``870656
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``870738
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``870820
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``870954
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``871104
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``871290
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``871519
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``871875
opolynomialZeros`3`x`(Polynomial(Fraction(Integer)),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``872042
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``872282
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``872403
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``872524
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``872672
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``872820
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``872859
opop!`1`x`(_$)->S`cStackAggregate(S)``873016
opopFortranOutputStack`0`x`()->Void`pFortranOutputStackPackage``873236
oport`1`x`(SingleInteger)->_$`dPortNumber``873304
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dInputBinaryFile``873379
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``873455
oposition`1`x`(_$)->SingleInteger`dInputBinaryFile``873534
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,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`x`((S)->Boolean,_$)->Integer`cFiniteLinearAggregate(S)``873618
oposition`2`x`(S,_$)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`873821
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`x`(CharacterClass,_$,Integer)->Integer`cStringAggregate``873978
oposition`3`x`(S,_$,Integer)->Integer`cFiniteLinearAggregate(S)`has(S,SetCategory)`874125
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``874334
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``874497
opositive?`1`x`(_$)->Boolean`cOrderedRing``874628
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``874706
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``874808
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``874931
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``875021
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``875147
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``875237
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``876083
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``876297
opostfix`2`n`(_$,_$)->_$`dOutputForm``876481
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``876555
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``876589
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``876870
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``876976
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`877064
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`877153
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``877231
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``877518
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``877595
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``877774
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``877943
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``878002
oprecision`0`x`()->PositiveInteger`dMachineFloat``878066
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,ATTRIBUTE(arbitraryPrecision))`878134
oprecision`1`x`(PositiveInteger)->PositiveInteger`dMachineFloat``878219
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``878297
opredicate`1`x`(_$)->SpadAst`dSuchThatAst``878450
opredicates`1`n`(_$)->List(Any)`dPattern(R)``878556
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``878692
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``878931
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``879146
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``879293
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``879473
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``879643
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``879784
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``879925
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``880054
opreprocess`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``880177
opresub`2`n`(_$,_$)->_$`dOutputForm``880300
opresuper`2`n`(_$,_$)->_$`dOutputForm``880382
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``880468
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``880552
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`880739
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`880865
oprimaryDecomp`1`x`(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)``881045
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`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``881161
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``881235
oprime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``882366
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``882428
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``882592
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``882740
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``882832
oprime`1`n`(_$)->_$`dOutputForm``882929
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``883021
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``883101
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)``883189
oprimextintfrac`3`n`(Fraction(UP),(UP)->UP,Fraction(UP))->Union(Record(ratpart:Fraction(UP),coeff:Fraction(UP)),"failed")`pTranscendentalIntegration(F,UP)``883535
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)``883780
oprimintfldpoly`3`n`(UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),F)->Union(UP,"failed")`pTranscendentalIntegration(F,UP)``883986
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``884186
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``884335
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``884579
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``884779
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``885029
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`885432
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``885748
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``886154
oprimitiveMonomials`1`n`(S)->List(S)`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`x`(_$)->List(_$)`cPolynomialCategory(R,E,VarSet)``886513
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`886708
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`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`886797
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``886920
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`887043
oprimitivePart`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,GcdDomain)`887167
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`887298
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`887495
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)``887659
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)``887852
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888208
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``888242
oprincipalAncestors`1`n`(_$)->List(ConstructorCall(CategoryConstructor))`dCategory``888322
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``888458
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888676
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888714
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``888754
oprintCode`1`x`(_$)->Void`dFortranCode``888793
oprintHeader`0`x`()->Void`dTheSymbolTable``888861
oprintHeader`1`x`(Symbol)->Void`dTheSymbolTable``889009
oprintHeader`2`x`(Symbol,_$)->Void`dTheSymbolTable``889155
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``889305
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStatement`1`x`(List(OutputForm))->_$`dFortranCode``889550
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``889629
oprintTypes`1`x`(Symbol)->Void`dTheSymbolTable``889681
oprintTypes`1`x`(_$)->Void`dSymbolTable``889802
oprint`1`n`(_$)->Void`dOutputForm``889923
oprint`1`x`(OutputForm)->Void`pPrintPackage``889972
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``890083
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``890204
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pExpertSystemContinuityPackage``890394
oproblemPoints`3`x`(Expression(DoubleFloat),Symbol,Segment(OrderedCompletion(DoubleFloat)))->List(DoubleFloat)`pd01AgentsPackage``890608
oprocessTemplate`1`x`(FileName)->FileName`dFortranTemplate``890812
oprocessTemplate`2`x`(FileName,FileName)->FileName`dFortranTemplate``890939
oprod`1`n`(_$)->_$`dOutputForm``891049
oprod`2`n`(_$,_$)->_$`dOutputForm``891137
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``891261
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``891423
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``891529
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``891683
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``891789
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``891943
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``892375
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``892638
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``892748
oprologue`1`x`(_$)->List(String)`dScriptFormulaFormat``893064
oprologue`1`x`(_$)->List(String)`dTexFormat``893152
oproperties`1`x`(_$)->AssociationList(String,None)`dBasicOperator``893232
oproperties`1`x`(_$)->List(Property)`dBinding``893333
oproperty`2`x`(Identifier,SExpression)->_$`dProperty``893418
oproperty`2`x`(_$,Identifier)->Maybe(None)`dBasicOperator``893508
oproperty`2`x`(_$,String)->Union(None,"failed")`dBasicOperator``893637
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`(polR,polR)->Record(coef:R,quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``893764
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`893880
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``894073
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`894321
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)``894513
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)``894750
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)``894879
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)``895029
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)``895180
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``895328
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)``895555
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``895726
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)``895962
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``896134
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``896371
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``896577
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``896827
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``897085
optree`1`x`(S)->_$`dPendantTree(S)``897178
optree`2`x`(_$,_$)->_$`dPendantTree(S)``897225
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``897264
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``897447
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``897517
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``897629
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``897871
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``897924
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``898092
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``898314
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``898528
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``898665
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``899006
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``899146
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``899342
opush!`2`x`(S,_$)->S`cStackAggregate(S)``899490
opushFortranOutputStack`1`x`(FileName)->Void`pFortranOutputStackPackage``899752
opushFortranOutputStack`1`x`(String)->Void`pFortranOutputStackPackage``899838
opushNewContour`2`x`(Binding,_$)->_$`dScope``899924
opush`2`x`(Binding,_$)->_$`dContour``900008
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``900078
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``900123
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900167
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900317
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900470
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900618
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``900754
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``900797
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``900839
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``900997
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``901201
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``901613
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``901830
oqelt`2`x`(_$,NonNegativeInteger)->T`dDataArray(N,T)``902199
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``902305
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``902499
oqfactor`1`n`(UP)->Union(Factored(SparseUnivariatePolynomial(Fraction(Integer))),"failed")`pFunctionSpaceUnivariatePolynomialFactor(R,F,UP)``902671
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``902783
oqqq`3`n`(NonNegativeInteger,TaylorSeries(R),Stream(TaylorSeries(R)))->(Stream(TaylorSeries(R)))->Stream(TaylorSeries(R))`pWeierstrassPreparation(R)``902923
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``902969
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`903060
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``903312
oqsetelt`3`x`(_$,NonNegativeInteger,T)->T`dDataArray(N,T)``903489
oquadratic?`1`x`(Expression(DoubleFloat))->Boolean`pe04AgentsPackage``903623
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``903702
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``903802
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``903888
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``903929
oqualifier`1`x`(_$)->SpadAst`dWhereAst``903974
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``904046
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``904085
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``904132
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``904333
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``904539
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``904754
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``904950
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``905031
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``905112
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``905183
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``905254
oqueue`1`x`(List(S))->_$`dQueue(S)``905323
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``905477
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``905600
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``905869
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``905926
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``906035
oquote`0`x`()->_$`dCharacter``906132
oquote`1`n`(_$)->_$`dOutputForm``906203
oquoted?`1`n`(_$)->Boolean`dPattern(R)``906273
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``906364
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``906591
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``906666
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``906817
orCoord`1`n`(Point(R))->R`pPointPackage(R)``906920
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``907191
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``907316
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``907470
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``907668
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``907849
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``908087
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``908239
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)``908417
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``908735
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``908932
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``909098
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``909309
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``909500
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``909669
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``909862
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``910059
oradical`1`x`(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)``910290
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``910358
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``910440
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``910602
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``910669
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``910739
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``910806
orandnum`0`x`()->Integer`pRandomNumberSource``910909
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``910974
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``911042
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``911103
orandomR`0`n`()->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``911159
orandomR`0`n`()->R`pPolynomialFactorizationByRecursionUnivariate(R,S)``911219
orandom`0`n`()->A`xFiniteSetAggregate&(A,S)``0
orandom`0`n`()->A`xQuotientFieldCategory&(A,S)``0
orandom`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
orandom`0`x`()->_$`cFinite``911281
orandom`0`x`()->_$`cIntegerNumberSystem``911343
orandom`0`x`()->_$`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`911392
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``911442
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``911572
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``911656
orandom`1`x`(_$)->_$`cIntegerNumberSystem``911792
orandom`1`x`(_$)->_$`dInteger``911863
orandom`1`x`(_$)->_$`dNonNegativeInteger``911934
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``912005
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``912179
orangeIsFinite`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")`pd01AgentsPackage``912285
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``912385
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``912465
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``912584
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``912709
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``912834
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``912988
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``913120
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``913324
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``913555
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``913609
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``913682
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`913745
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`913808
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`913871
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``913934
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``914077
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``914191
orarrow`2`n`(_$,_$)->_$`dOutputForm``914305
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``914377
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``914515
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``914631
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``914764
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``914889
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``915201
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``915427
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``915739
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``915965
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`x`(S)->Boolean`pRationalRetractions(S)``916093
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`916200
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``916267
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`916368
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`916484
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`916680
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`916800
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`916874
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``916948
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``917084
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``917220
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``917398
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`917574
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`917715
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``917876
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`917995
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``918117
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`918222
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`918337
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`918562
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`918672
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`918784
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``918897
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``918975
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``919053
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`919136
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``919219
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``919317
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`919426
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``919536
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`919624
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`919744
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`919955
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`920115
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`920232
oratpart`1`n`(_$)->F`dIntegrationResult(F)``920347
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``920424
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``920545
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)``920588
oread!`1`x`(_$)->S`cFileCategory(Name,S)``920661
oreadByte!`1`x`(_$)->Maybe(Byte)`cInputByteConduit``920825
oreadBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xInputByteConduit&(S)``0
oreadBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cInputByteConduit``920975
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``921185
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``921380
oreadInt16!`1`n`(S)->Maybe(Int16)`xInputByteConduit&(S)``0
oreadInt16!`1`x`(_$)->Maybe(Int16)`cInputByteConduit``921593
oreadInt32!`1`n`(S)->Maybe(Int32)`xInputByteConduit&(S)``0
oreadInt32!`1`x`(_$)->Maybe(Int32)`cInputByteConduit``921748
oreadInt8!`1`n`(S)->Maybe(Int8)`xInputByteConduit&(S)``0
oreadInt8!`1`x`(_$)->Maybe(Int8)`cInputByteConduit``921903
oreadLine!`1`x`(_$)->String`dTextFile``922056
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``922150
oreadUInt16!`1`n`(S)->Maybe(UInt16)`xInputByteConduit&(S)``0
oreadUInt16!`1`x`(_$)->Maybe(UInt16)`cInputByteConduit``922367
oreadUInt32!`1`n`(S)->Maybe(UInt32)`xInputByteConduit&(S)``0
oreadUInt32!`1`x`(_$)->Maybe(UInt32)`cInputByteConduit``922523
oreadUInt8!`1`n`(S)->Maybe(UInt8)`xInputByteConduit&(S)``0
oreadUInt8!`1`x`(_$)->Maybe(UInt8)`cInputByteConduit``922679
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``922833
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``922924
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``922989
oreal?`1`x`(_$)->Boolean`dFortranScalarType``923054
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``923140
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``923367
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``923664
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``923814
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``924000
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``924117
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924438
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924525
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``924805
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``924899
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``925111
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``925213
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``926119
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``926250
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``926381
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``926540
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``926699
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``926893
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``927087
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``927312
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``927537
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``927631
oreal`1`x`(_$)->R`cComplexCategory(R)``927725
oreal`1`x`(_$)->R`cOctonionCategory(R)``927778
oreal`1`x`(_$)->R`cQuaternionCategory(R)``927841
orecip`0`n`()->_$`dMoebiusTransform(F)``927910
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xIntegralDomain&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(S)->Union(S,"failed")`xMonoid&(S)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``928008
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``928111
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``928148
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``928185
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`928229
orecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``928462
orecip`1`x`(_$)->Union(_$,"failed")`cMonoid``928664
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,Q)``928804
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``928918
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``929121
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``929213
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``929383
orecoverAfterFail`3`x`(_$,String,Integer)->Union(String,"failed")`dRoutinesTable``929481
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``929591
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``929716
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``929827
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``929888
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``929922
ored`0`x`()->_$`dColor``929957
ored`1`x`(_$)->T`cRGBColorModel(T)``930030
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``930094
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)``930231
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``930345
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``930505
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``930648
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``930991
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`(Rep)->_$`dModMonic(R,Rep)``931078
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``931116
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``931156
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`931285
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``931369
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``931522
oreduce`1`x`(_$)->_$`dAlgebraicNumber``931653
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`931782
oreduce`2`n`((P,P)->P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`2`n`((S,S)->S,A)->S`xCollection&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xListAggregate&(A,S)``0
oreduce`2`n`((S,S)->S,A)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`2`n`(R,Mod)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``931914
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``931954
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``931994
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`932034
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
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`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``932448
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``932618
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``932975
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``933311
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``933641
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``933811
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``933938
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``934071
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``934395
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`934711
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``935150
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`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`935352
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``935784
oreduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oreduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``936518
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``936681
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``936796
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``937081
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``937377
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``937429
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``937665
oreducedSystem`1`n`(Matrix(A))->Matrix(Integer)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(A))->Matrix(S)`xQuotientFieldCategory&(A,S)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(Integer)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xComplexCategory&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xFullyLinearlyExplicitRingOver&(S,R)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`1`n`(Matrix(S))->Matrix(R)`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`1`x`(Matrix(_$))->Matrix(R)`cLinearlyExplicitRingOver(R)``937828
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`x`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitRingOver(R)``937966
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``938129
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``938297
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``938405
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``938496
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``938681
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``938862
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``938902
oreductum`1`n`(_$)->_$`dMonoidRing(R,M)`has(M,OrderedSet)`938942
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``939008
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``939117
oreductum`1`x`(_$)->_$`cFreeModuleCat(R,Basis)``939228
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``939295
oreductum`1`x`(_$)->_$`cMonogenicLinearOperator(R)``939462
oreductum`1`x`(_$)->_$`cUnivariateSkewPolynomialCategory(R)``939580
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``939698
oref`1`n`(S)->_$`dReference(S)``939868
orefine`1`n`(_$)->_$`dPlot3D``939943
orefine`1`n`(_$)->_$`dPlot``939981
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``940048
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``940131
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``940535
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``940577
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``940617
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``940657
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``940836
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackage(Pol)``941015
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Record(left:Fraction(Integer),right:Fraction(Integer)))->Union(Record(left:Fraction(Integer),right:Fraction(Integer)),"failed")`pRealZeroPackageQ(Pol)``941319
oreflect`1`x`(ConstructorCall(DomainConstructor))->_$`dDomain``941623
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)``941807
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``942653
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``942929
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`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``943081
oreify`1`x`(_$)->ConstructorCall(DomainConstructor)`dDomain``943253
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``943331
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeals(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`943579
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``943691
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``943829
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``943970
orelerror`2`x`(_$,_$)->Integer`dFloat``944102
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``944218
orem`2`x`(_$,_$)->_$`cEuclideanDomain``944275
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``944385
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`944455
oremove!`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(Key,S)->Union(Entry,"failed")`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oremove!`2`n`(S,A)->A`xDictionary&(A,S)``0
oremove!`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove!`2`n`(S,A)->A`xListAggregate&(A,S)``0
oremove!`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``944835
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`944907
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``945063
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``945199
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`945403
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`945544
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``945628
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``945923
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`946170
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``946280
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``946459
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,SetCategory)`946642
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``946725
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`946827
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`946917
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`947296
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`947719
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``948122
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``948935
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``949301
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``949668
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``949801
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`950067
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``950485
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``950651
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``950996
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``951313
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``951492
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``951675
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``951889
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``951995
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``952101
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``952311
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``952521
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``952842
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``953406
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``953945
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``954057
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,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``954521
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`954744
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``954995
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,ATTRIBUTE(finiteAggregate)),has(S,SetCategory))`955189
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``955416
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``955696
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``955928
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``956012
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``956090
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``956278
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``956420
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``956562
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``956704
orepeatUntilLoop`2`x`(Switch,_$)->_$`dFortranCode``956835
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`956914
orepeating`1`x`(List(S))->_$`dStream(S)``957049
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``957133
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``957328
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``957452
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``957609
orepresents`1`x`(Vector(R))->_$`cFramedAlgebra(R,UP)``957755
orepresents`1`x`(Vector(R))->_$`cFramedNonAssociativeAlgebra(R)``957903
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(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``958068
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``958152
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``958261
oreseed`1`x`(Integer)->Void`pRandomNumberSource``958357
oresetAttributeButtons`0`x`()->Void`dAttributeButtons``958431
oresetBadValues`1`n`(_$)->_$`dPattern(R)``958519
oresetNew`0`x`()->Void`dSymbol``958679
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``958806
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``958930
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``959146
oreshape`2`x`(List(S),PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``959366
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``959407
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``959527
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``959772
oresolve`1`x`(Hostname)->Maybe(_$)`dIP4Address``960021
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`(_$)->_$`dMagma(VarSet)``960090
orest`1`n`(_$)->_$`dOrderedFreeMonoid(S)``960248
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``960312
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``960387
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``960583
orest`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
orest`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
orest`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``960723
orestorePrecision`0`x`()->Void`pNAGLinkSupportPackage``960864
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``960913
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``961164
oresultantEuclideannaif`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``961303
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`961477
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`961664
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``961789
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`961899
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`961992
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`962247
oresultantnaif`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``962380
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`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``962545
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Polynomial(Fraction(Integer)))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(Integer))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(Polynomial(R))->Union(S,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
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`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``962589
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``962755
oretractIfCan`1`x`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`962884
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``963226
oretractIfCan`1`x`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`963355
oretractIfCan`1`x`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``963697
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``964039
oretractIfCan`1`x`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`964168
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``964510
oretractIfCan`1`x`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`964639
oretractIfCan`1`x`(List(P))->Union(_$,"failed")`cPolynomialSetCategory(R,E,VarSet,P)``964981
oretractIfCan`1`x`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``965174
oretractIfCan`1`x`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``965303
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``965432
oretractIfCan`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``965561
oretractIfCan`1`x`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``965690
oretractIfCan`1`x`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``965819
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``965948
oretractIfCan`1`x`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`966077
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`966419
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cFortranFunctionCategory``966567
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`966696
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`966844
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`966992
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`967334
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`967482
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`967630
oretractIfCan`1`x`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``967778
oretractIfCan`1`x`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``968052
oretractIfCan`1`x`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``968181
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``968310
oretractIfCan`1`x`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``968439
oretractIfCan`1`x`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``968568
oretractIfCan`1`x`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``968697
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``968826
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`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
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`x`(Any)->S`pAnyFunctions1(S)``968976
oretract`1`x`(Expression(Float))->_$`cFortranFunctionCategory``969140
oretract`1`x`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`969264
oretract`1`x`(Expression(Integer))->_$`cFortranFunctionCategory``969593
oretract`1`x`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`969717
oretract`1`x`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``970046
oretract`1`x`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``970375
oretract`1`x`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`970499
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``970828
oretract`1`x`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`970952
oretract`1`x`(List(P))->_$`cPolynomialSetCategory(R,E,VarSet,P)``971281
oretract`1`x`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``971461
oretract`1`x`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``971585
oretract`1`x`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``971709
oretract`1`x`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``971833
oretract`1`x`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``971957
oretract`1`x`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``972081
oretract`1`x`(Polynomial(Float))->_$`cFortranFunctionCategory``972205
oretract`1`x`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`972329
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`972658
oretract`1`x`(Polynomial(Integer))->_$`cFortranFunctionCategory``972846
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`972970
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))))`973158
oretract`1`x`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`973346
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)),not(has(R,QuotientFieldCategory(Integer))))`973675
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,IntegerNumberSystem)))`973863
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(V,ConvertibleTo(Symbol)),not(has(R,Algebra(Fraction(Integer)))),not(has(R,Algebra(Integer))))`974051
oretract`1`x`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``974239
oretract`1`x`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``974500
oretract`1`x`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``974624
oretract`1`x`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``974748
oretract`1`x`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``974872
oretract`1`x`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``974996
oretract`1`x`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``975120
oretract`1`x`(_$)->Record(pde:List(Expression(DoubleFloat)),constraints:List(Record(start:DoubleFloat,finish:DoubleFloat,grid:NonNegativeInteger,boundaryType:Integer,dStart:Matrix(DoubleFloat),dFinish:Matrix(DoubleFloat))),f:List(List(Expression(DoubleFloat))),st:String,tol:DoubleFloat)`dNumericalPDEProblem``975244
oretract`1`x`(_$)->Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat)`dNumericalODEProblem``975285
oretract`1`x`(_$)->S`cRetractableTo(S)``975326
oretract`1`x`(_$)->Union(nia:Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat),mdnia:Record(fn:Expression(DoubleFloat),range:List(Segment(OrderedCompletion(DoubleFloat))),abserr:DoubleFloat,relerr:DoubleFloat))`dNumericalIntegrationProblem``975461
oretract`1`x`(_$)->Union(noa:Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))),lsa:Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))`dNumericalOptimizationProblem``975502
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``975543
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``975649
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``975776
oretractable?`1`n`(_$)->Boolean`dMagma(VarSet)``975871
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``975966
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``976062
oreturnType!`1`x`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``976160
oreturnType!`2`x`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``976284
oreturnType!`3`x`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``976408
oreturnTypeOf`2`x`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``976536
oreturns`0`x`()->_$`dFortranCode``976622
oreturns`1`x`(Expression(Complex(Float)))->_$`dFortranCode``976702
oreturns`1`x`(Expression(Float))->_$`dFortranCode``976805
oreturns`1`x`(Expression(Integer))->_$`dFortranCode``976908
oreturns`1`x`(Expression(MachineComplex))->_$`dFortranCode``977011
oreturns`1`x`(Expression(MachineFloat))->_$`dFortranCode``977114
oreturns`1`x`(Expression(MachineInteger))->_$`dFortranCode``977217
oreverse!`1`n`(A)->A`xListAggregate&(A,S)``0
oreverse!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
oreverse!`1`n`(_$)->_$`dListMonoidOps(S,E,un)``977320
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``977430
oreverse!`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`977603
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``977682
oreverse`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``977876
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``977945
oreverse`1`x`(_$)->_$`cFiniteLinearAggregate(S)``978164
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``978249
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``978427
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`978613
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``979017
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`979512
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``979884
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``980507
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``981589
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``981645
orhs`1`x`(_$)->S`dEquation(S)``981716
orhs`1`x`(_$)->SpadAst`dCaseAst``981791
orhs`1`x`(_$)->SpadAst`dHasAst``981868
orhs`1`x`(_$)->SpadAst`dIsAst``981945
orhs`1`x`(_$)->SpadAst`dLetAst``982020
orhs`1`x`(_$)->TypeAst`dColonAst``982103
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`982181
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`982295
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`982409
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``982628
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`982793
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``983012
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``983177
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``983447
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``983717
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``983763
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``983984
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``984205
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``984365
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``984736
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``985107
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`985411
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`985615
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`985865
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`985973
orightFactorCandidate`2`x`(UP,NonNegativeInteger)->UP`pPolynomialDecomposition(UP,F)``986083
orightFactorIfCan`3`n`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``986137
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`986421
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`986659
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`986858
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``987094
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``987221
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`987321
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`987380
orightPower`2`n`(S,NonNegativeInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonad&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMonadWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMonadWithUnit``987439
orightPower`2`x`(_$,PositiveInteger)->_$`cMonad``987626
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`987813
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`988002
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``988100
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`988341
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``988582
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`988741
orightRecip`1`x`(_$)->Union(_$,"failed")`cMonadWithUnit``988963
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``989154
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``989328
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`989527
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``989717
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``989908
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``990196
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightTraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``990484
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``990694
orightTrim`2`x`(_$,Character)->_$`cStringAggregate``990789
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``990964
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`991160
orightUnits`0`n`()->Union(Record(particular:S,basis:List(S)),"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnits`0`n`()->Union(Record(particular:_$,basis:List(_$)),"failed")`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``991287
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`991412
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`991538
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``991597
oright`1`n`(_$)->_$`dMagma(VarSet)``991755
oright`1`n`(_$)->_$`dOutputForm``991908
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``991977
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``992053
oright`2`n`(_$,Integer)->_$`dOutputForm``992101
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)``992188
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)``992553
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``992863
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``993052
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``993695
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``993934
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``994255
ork4qc`14`x`(Vector(Float),Integer,Float,Record(try: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``994749
ork4qc`7`x`(Vector(Float),Integer,Float,Record(try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``995234
oroman`1`x`(Integer)->_$`dRomanNumeral``995698
oroman`1`x`(Symbol)->_$`dRomanNumeral``995759
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``995827
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``996515
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``997197
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``997234
orootDirectory`0`n`()->String`dSystem``997331
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`997438
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``997505
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``997710
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``997960
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``998084
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``998152
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``998276
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``998390
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``998510
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``998624
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``998722
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``998835
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``998963
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`999134
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`999292
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``999527
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``999742
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Join(GcdDomain,RetractableTo(Integer))),has(F,FunctionSpace(R)))`999865
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1000097
oroot`1`n`(_$)->_$`dOutputForm``1000327
oroot`2`n`(_$,_$)->_$`dOutputForm``1000402
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1000483
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
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`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1000611
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1000858
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1001049
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`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1001299
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1001554
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1001809
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1002003
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1002240
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1002596
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1002694
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1002792
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1002890
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1003078
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1003210
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1003454
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1003724
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1003880
oroutines`0`x`()->_$`dRoutinesTable``1003944
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1004014
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1004179
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1004286
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1004472
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1004605
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1004686
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1004767
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1004848
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1004929
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1005220
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1005343
orquo`2`n`(_$,S)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1005459
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``1005542
orquo`2`n`(_$,_$)->Union(_$,"failed")`dOrderedFreeMonoid(S)``1005735
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1005918
orquo`2`x`(_$,OrderedFreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1006033
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1006115
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1006197
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1006292
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1006383
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1006476
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1006666
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1009295
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1009436
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1009810
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1009874
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1009950
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1010012
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1011143
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1011624
os01eaf`2`x`(Complex(DoubleFloat),Integer)->Result`pNagSpecialFunctionsPackage``1011772
os13aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1011929
os13acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012125
os13adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012241
os14aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012355
os14abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012513
os14baf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012671
os15adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1012854
os15aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013026
os17acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013180
os17adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013371
os17aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013562
os17aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013753
os17agf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1013944
os17ahf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014105
os17ajf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014265
os17akf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1014440
os17dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1014616
os17def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1014950
os17dgf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1015284
os17dhf`4`x`(String,Complex(DoubleFloat),String,Integer)->Result`pNagSpecialFunctionsPackage``1015526
os17dlf`6`x`(Integer,DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1015768
os18acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016198
os18adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016398
os18aef`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016598
os18aff`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1016798
os18dcf`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1016997
os18def`5`x`(DoubleFloat,Complex(DoubleFloat),Integer,String,Integer)->Result`pNagSpecialFunctionsPackage``1017340
os19aaf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1017683
os19abf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1017834
os19acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1017985
os19adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018139
os20acf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018290
os20adf`2`x`(DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018450
os21baf`3`x`(DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018610
os21bbf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1018833
os21bcf`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019008
os21bdf`5`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer)->Result`pNagSpecialFunctionsPackage``1019184
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1019361
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1019394
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1019529
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1019680
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1019835
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMonoid&(S)``0
osample`0`n`()->_$`dInt16``0
osample`0`n`()->_$`dInt32``0
osample`0`n`()->_$`dInt64``0
osample`0`n`()->_$`dInt8``0
osample`0`n`()->_$`dSystemInteger(N)``1020034
osample`0`n`()->_$`dSystemNonNegativeInteger(N)``1020090
osample`0`n`()->_$`dUInt16``0
osample`0`n`()->_$`dUInt32``0
osample`0`n`()->_$`dUInt64``0
osample`0`n`()->_$`dUInt8``0
osample`0`x`()->_$`cAbelianMonoid``1020146
osample`0`x`()->_$`cAggregate``1020193
osample`0`x`()->_$`cMonoid``1020240
osample`0`x`()->_$`dByte``1020287
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1020343
osample`0`x`()->_$`dSymbol``1020396
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1020442
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1020552
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1020683
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1020915
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1021060
osave`0`x`()->_$`dFortranCode``1021223
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1021290
osayLength`1`x`(String)->Integer`pDisplayPackage``1021381
osay`1`x`(List(String))->Void`pDisplayPackage``1021463
osay`1`x`(String)->Void`pDisplayPackage``1021528
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1021584
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1021714
oscalarTypeOf`1`x`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1021846
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1021918
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1022019
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1022118
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1022216
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1022329
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1022640
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1023318
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1023551
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1023930
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1024216
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1024496
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1024729
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1025008
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1025287
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1025448
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1025587
oscopes`1`x`(_$)->List(Scope)`dEnvironment``1025847
oscreenResolution3D`0`n`()->Integer`dPlot3D``1025924
oscreenResolution`0`n`()->Integer`dPlot``1026005
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1026068
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1026141
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1026215
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1026534
oscripted?`1`x`(_$)->Boolean`dSymbol``1026721
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1026803
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1026865
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemContinuityPackage``1026995
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pExpertSystemToolsPackage``1027105
osdf2lst`1`x`(Stream(DoubleFloat))->List(String)`pd01AgentsPackage``1027194
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1027291
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1027350
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1027570
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1027668
osec`1`n`(F)->F`pElementaryFunction(R,F)``1027755
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)``1027816
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1027883
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1027950
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1028018
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1028088
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1028141
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1028243
osech`1`n`(F)->F`pElementaryFunction(R,F)``1028332
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)``1028405
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1028488
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1028571
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1028651
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1028733
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1028798
osecond`1`x`(_$)->T`dPair(S,T)``1028918
oseed`0`x`()->Integer`pRandomNumberSource``1028988
osegment`1`x`(S)->_$`dUniversalSegment(S)``1029041
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``1029123
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1029327
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,ATTRIBUTE(finiteAggregate))`1029409
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1029568
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1029696
oselectFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1030008
oselectIntegrationRoutines`1`x`(_$)->_$`dRoutinesTable``1030143
oselectMultiDimensionalRoutines`1`x`(_$)->_$`dRoutinesTable``1030258
oselectNonFiniteRoutines`1`x`(_$)->_$`dRoutinesTable``1030414
oselectODEIVPRoutines`1`x`(_$)->_$`dRoutinesTable``1030557
oselectOptimizationRoutines`1`x`(_$)->_$`dRoutinesTable``1030684
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1030800
oselectPDERoutines`1`x`(_$)->_$`dRoutinesTable``1031110
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1031234
oselectSumOfSquaresRoutines`1`x`(_$)->_$`dRoutinesTable``1031500
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,V)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oselect`2`n`(_$,NonNegativeInteger)->S`dTuple(S)``1031638
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,ATTRIBUTE(finiteAggregate))`1031734
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1031976
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1032156
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1032220
oselectfirst`1`n`(_$)->A`dProduct(A,B)``1032358
oselectsecond`1`n`(_$)->B`dProduct(A,B)``1032401
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1032445
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1032708
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1032917
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1033204
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1033461
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1033616
osemiResultantEuclideannaif`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1033827
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1034006
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1034201
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1034474
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1034810
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1034913
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1035038
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1035190
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1035356
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1035538
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1035578
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1035744
osequence`1`n`(_$)->SpadAst`dInAst``1035877
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1035963
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1036163
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1036516
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1036751
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1036849
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1037228
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1037337
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1037444
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1037569
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1037906
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1038078
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1038270
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1038429
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1038525
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1038955
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1039154
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1039335
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1039427
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1039626
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1039825
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1039886
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1039968
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1040071
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1040311
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1040621
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1040802
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1040961
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1041039
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1041259
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1041428
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1041640
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1041759
osetAttributeButtonStep`1`x`(Float)->Float`dAttributeButtons``1041872
osetButtonValue`2`x`(String,Float)->Float`dAttributeButtons``1042079
osetButtonValue`3`x`(String,String,Float)->Float`dAttributeButtons``1042391
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1042746
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1042869
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1043041
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1043123
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1043285
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1043456
osetEpilogue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1043533
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``1043647
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1043753
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1044052
osetFormula!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1044240
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1044352
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1044503
osetLabelValue`1`x`(SingleInteger)->SingleInteger`dFortranCode``1044682
osetLegalFortranSourceExtensions`1`x`(List(String))->List(String)`pFortranPackage``1044766
osetLength!`2`x`(_$,NonNegativeInteger)->NonNegativeInteger`dByteBuffer``1044831
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1044956
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1045045
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1045131
osetMinPoints`1`n`(Integer)->Integer`dPlot``1045220
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1045306
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1045457
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1045807
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1046226
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1046265
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1046342
osetPrologue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1046454
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``1046568
osetProperties!`3`x`(Identifier,List(Property),_$)->_$`dEnvironment``1046674
osetProperties`2`x`(_$,AssociationList(String,None))->_$`dBasicOperator``1046782
osetProperty!`4`x`(Identifier,Identifier,SExpression,_$)->_$`dEnvironment``1046946
osetProperty`3`x`(_$,Identifier,None)->_$`dBasicOperator``1047068
osetProperty`3`x`(_$,String,None)->_$`dBasicOperator``1047259
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1047450
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1047596
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1047672
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1047766
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1047842
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1047998
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``1048351
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1048447
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,SetCategory)`1048570
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1048738
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1048892
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1049027
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1049203
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1049282
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049392
osetelt!`5`x`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1049524
osetelt`2`n`(_$,S)->S`dReference(S)``1049662
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`x`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049742
osetelt`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1049891
osetelt`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1050037
osetelt`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1050170
osetelt`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1050316
osetelt`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1050459
osetelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,ATTRIBUTE(shallowlyMutable))`1050594
osetelt`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1050783
osetelt`3`x`(_$,Symbol,Any)->Any`dLibrary``1050950
osetelt`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051077
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`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1051471
osetelt`4`x`(_$,List(Integer),List(Integer),_$)->_$`cMatrixCategory(R,Row,Col)``1051643
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1051945
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052032
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1052124
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052237
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052314
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052446
osetref`2`n`(_$,S)->S`dReference(S)``1052586
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052640
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1052724
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1052844
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cMatrixCategory(R,Row,Col)``1052922
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1053126
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1053200
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1053277
oshade`1`n`(Point(R))->R`pPointPackage(R)``1053404
oshade`1`x`(_$)->Integer`dPalette``1053733
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1053815
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1053858
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1053905
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1054180
oshiftLeft`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1054303
oshiftRight`2`n`(S,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1054365
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1054448
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1054562
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1054661
oshift`2`x`(_$,Integer)->_$`dFloat``1054759
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1054833
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1054891
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1054951
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1055050
oshowArrayValues`1`x`(Boolean)->Boolean`dResult``1055144
oshowAttributes`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(endPointContinuity:Union(continuous:"Continuous at the end points",lowerSingular:"There is a singularity at the lower end point",upperSingular:"There is a singularity at the upper end point",bothSingular:"There are singularities at both end points",notEvaluated:"End point continuity not yet evaluated"),singularitiesStream:Union(str:--Stream(DoubleFloat),notEvaluated:"Internal singularities not yet evaluated"),range:Union(finite:"The range is finite",lowerInfinite:"The bottom of range is infinite",upperInfinite:"The top of range is infinite",bothInfinite:"Both top and bottom points are infinite",notEvaluated:"Range not yet evaluated")),"failed")`dIntegrationFunctionsTable``1055278
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1055326
oshowFortranOutputStack`0`x`()->Stack(String)`pFortranOutputStackPackage``1055578
oshowIntensityFunctions`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Union(Record(stiffness:Float,stability:Float,expense:Float,accuracy:Float,intermediateResults:Float),"failed")`dODEIntensityFunctionsTable``1055650
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1055756
oshowScalarValues`1`x`(Boolean)->Boolean`dResult``1055998
oshowSummary`1`x`(_$)->Void`dDomain``1056134
oshowTheFTable`0`x`()->_$`dIntegrationFunctionsTable``1056230
oshowTheIFTable`0`x`()->_$`dODEIntensityFunctionsTable``1056300
oshowTheRoutinesTable`0`x`()->_$`dRoutinesTable``1056381
oshowTheSymbolTable`0`x`()->_$`dTheSymbolTable``1056461
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1056530
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1056777
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1056897
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1057106
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1057254
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1057300
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1057346
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1057394
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1057430
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1057511
osign`1`x`(_$)->Integer`cOrderedRing``1057591
osign`1`x`(_$)->Integer`dPermutation(S)``1057706
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1057802
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1057894
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1058020
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1058151
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1058307
osignatureAst`2`x`(Identifier,Signature)->_$`dSignatureAst``1058527
osignature`1`n`(_$)->Signature`dFunctionDescriptor``1058624
osignature`1`n`(_$)->Signature`dOperatorSignature``1058708
osignature`1`x`(_$)->Signature`dDefinitionAst``1058772
osignature`1`x`(_$)->Signature`dSignatureAst``1058961
osignature`2`x`(List(Syntax),Syntax)->_$`dSignature``1059042
osimpleBounds?`1`x`(List(Expression(DoubleFloat)))->Boolean`pe04AgentsPackage``1059190
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1059289
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1059406
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`1059617
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1059676
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1059980
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1060044
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1060528
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1061206
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1061888
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1061986
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1062071
osin`1`n`(E)->_$`dFourierComponent(E)``1062158
osin`1`n`(F)->F`pElementaryFunction(R,F)``1062224
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)``1062283
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1062348
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1062413
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1062479
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1062547
osin`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1062598
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1062665
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1062767
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1063224
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1063787
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1063975
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1064228
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1064295
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1064365
osingularitiesOf`1`x`(Record(var:Symbol,fn:Expression(DoubleFloat),range:Segment(OrderedCompletion(DoubleFloat)),abserr:DoubleFloat,relerr:DoubleFloat))->Stream(DoubleFloat)`pd01AgentsPackage``1064446
osingularitiesOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1064563
osingularitiesOf`3`x`(Vector(Expression(DoubleFloat)),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1064786
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1065009
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1065111
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1065200
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)``1065271
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1065352
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1065433
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1065511
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1065591
osinh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1065654
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1065723
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``1065838
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1065912
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1066064
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1066244
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1066424
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1066604
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1066707
osize`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
osize`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
osize`0`n`()->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
osize`0`n`()->NonNegativeInteger`xMonogenicAlgebra&(S,R,UP)``0
osize`0`x`()->Integer`pRandomNumberSource``1066803
osize`0`x`()->NonNegativeInteger`cFinite``1066867
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1066931
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``1066998
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1067065
osize`1`n`(_$)->NonNegativeInteger`dOrderedFreeMonoid(S)``1067137
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``1067204
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1067359
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1067401
oslash`2`n`(_$,_$)->_$`dOutputForm``1067589
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1067684
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1067871
osn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1067948
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1068044
osocf2socdf`1`x`(Segment(OrderedCompletion(Float)))->Segment(OrderedCompletion(DoubleFloat))`pExpertSystemToolsPackage``1068090
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1068244
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1068282
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1068321
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1068590
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1068740
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)``1068885
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1069296
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1069532
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursionUnivariate(R,S)``1069936
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1070340
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1070592
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1070911
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`x`(List(SparseUnivariatePolynomial(_$)),SparseUnivariatePolynomial(_$))->Union(List(SparseUnivariatePolynomial(_$)),"failed")`cPolynomialFactorizationExplicit``1071163
osolveLinear`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`1071415
osolveLinear`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`1071608
osolveLinearlyOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``1071779
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1071962
osolve`10`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String,DoubleFloat)->Result`pAnnaPartialDifferentialEquationPackage``1072215
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1073419
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1073599
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1073636
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1073846
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1073976
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1074175
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1074312
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1074465
osolve`1`x`(NumericalODEProblem)->Result`pAnnaOrdinaryDifferentialEquationPackage``1074605
osolve`1`x`(NumericalPDEProblem)->Result`pAnnaPartialDifferentialEquationPackage``1075792
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1076425
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1076600
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1076721
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1076841
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1077023
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1077232
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1077343
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1077521
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1077740
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1077876
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1078015
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1078224
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1078375
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1078594
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1078732
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1078938
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1079083
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1079228
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1079434
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1079640
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1079757
osolve`2`x`(NumericalODEProblem,RoutinesTable)->Result`pAnnaOrdinaryDifferentialEquationPackage``1079902
osolve`2`x`(NumericalPDEProblem,RoutinesTable)->Result`pAnnaPartialDifferentialEquationPackage``1081143
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)``1081792
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1082204
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1082988
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1083725
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1084288
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1084688
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1085088
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1085402
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1085637
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1085910
osolve`4`x`(Vector(Expression(Float)),Float,Float,List(Float))->Result`pAnnaOrdinaryDifferentialEquationPackage``1086183
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1087403
osolve`5`x`(Vector(Expression(Float)),Float,Float,List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1087630
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1088848
osolve`6`x`(Vector(Expression(Float)),Float,Float,List(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1090218
osolve`7`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1091559
osolve`8`x`(Vector(Expression(Float)),Float,Float,List(Float),Expression(Float),List(Float),Float,Float)->Result`pAnnaOrdinaryDifferentialEquationPackage``1093062
osolve`9`x`(Float,Float,Float,Float,NonNegativeInteger,NonNegativeInteger,List(Expression(Float)),List(List(Expression(Float))),String)->Result`pAnnaPartialDifferentialEquationPackage``1094637
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1095828
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1096008
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`x`(_$)->_$`cFiniteLinearAggregate(S)`AND(has(_$,ATTRIBUTE(shallowlyMutable)),has(S,OrderedSet))`1096070
osort!`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1096148
osortConstraints`1`x`(Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat))))->Record(fn:Expression(DoubleFloat),init:List(DoubleFloat),lb:List(OrderedCompletion(DoubleFloat)),cf:List(Expression(DoubleFloat)),ub:List(OrderedCompletion(DoubleFloat)))`pe04AgentsPackage``1096229
osort`1`n`(A)->A`xFiniteLinearAggregate&(A,S)``0
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1096438
osort`1`x`(_$)->_$`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1096722
osort`2`n`((S,S)->Boolean,A)->A`xFiniteLinearAggregate&(A,S)``0
osort`2`n`(S,VarSet)->Record(under:S,floor:S,upper:S)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
osort`2`x`((S,S)->Boolean,_$)->_$`cFiniteLinearAggregate(S)``1096857
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1096957
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`x`(_$)->Boolean`cFiniteLinearAggregate(S)`has(S,OrderedSet)`1097240
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xFiniteLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,_$)->Boolean`cFiniteLinearAggregate(S)``1097323
osource`1`x`(_$)->List(Syntax)`dSignature``1097412
osource`1`x`(_$)->List(TypeAst)`dMappingAst``1097487
ospace`0`x`()->_$`dCharacter``1097562
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1097614
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1097814
osparsityIF`1`x`(Matrix(Expression(DoubleFloat)))->Float`pd02AgentsPackage``1097925
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1097998
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1098062
osplit!`2`n`(A,Integer)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,Integer)->_$`cUnaryRecursiveAggregate(S)`has(_$,ATTRIBUTE(shallowlyMutable))`1098324
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1098589
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1098712
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1098880
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1099048
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``1099196
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1099348
osplitLinear`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pe04AgentsPackage``1099550
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1099639
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1099950
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1100278
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1100610
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1100793
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1100976
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1101067
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1101329
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1102140
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1102299
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1102457
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1102544
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``1102637
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1102789
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1102868
osqrt`1`x`(Integer)->_$`cRealClosedField``1102934
osqrt`1`x`(_$)->_$`cRadicalCategory``1103000
osqrt`1`x`(_$)->_$`cRealClosedField``1103059
osqrt`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1103125
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1103194
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1103316
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1103393
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1103568
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1103743
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1103860
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1104281
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1104452
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1104588
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1104701
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1105221
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`dExpression(R)`AND(has(R,GcdDomain),has(R,IntegralDomain))`1105336
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1105390
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1105509
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1105595
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1105701
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1105879
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(Fraction(P)))->Factored(SparseUnivariatePolynomial(Fraction(P)))`pSupFractionFactorizer(E,OV,R,P)``1106069
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1106322
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1106496
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1106839
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1106933
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1107118
osquareTop`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1107237
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1107410
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1107544
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1107678
ostack`1`x`(List(S))->_$`dStack(S)``1107811
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1107956
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1108637
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1109091
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1109225
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1109351
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1109477
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1109603
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1109732
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1109805
ostiffnessAndStabilityFactor`1`x`(Matrix(Expression(DoubleFloat)))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1109947
ostiffnessAndStabilityOfODEIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Record(stiffnessFactor:Float,stabilityFactor:Float)`pd02AgentsPackage``1110474
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1111057
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1111155
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1111255
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1111529
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1111824
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1111916
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1112008
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1112100
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`x`()->_$`dFortranCode``1112195
ostoseIntegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInternalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->Boolean`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?reg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertible?sqfreg`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSetsqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostosePrepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1112262
ostring`1`n`(_$)->_$`dOutputForm``1112351
ostring`1`x`(Integer)->_$`cStringCategory``1112412
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1112495
ostring`1`x`(_$)->String`dSymbol``1112632
ostripCommentsAndBlanks`1`x`(String)->String`pTemplateUtilities``1112735
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1112877
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1112962
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1113283
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1113466
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1113619
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1113867
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`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1114115
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1114406
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1114663
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1115103
osts2stst`2`n`(Symbol,Stream(Polynomial(R)))->Stream(Stream(Polynomial(R)))`pWeierstrassPreparation(R)``1115543
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1115591
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1115672
ostyle`1`x`(String)->_$`dDrawOption``1115825
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1116001
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1116203
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1116303
osubHeight`1`n`(_$)->Integer`dOutputForm``1116403
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1116487
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1116684
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1116864
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1117093
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1117223
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1117353
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1117510
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1117667
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1117825
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1117999
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1118211
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1118476
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1118620
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1119000
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1119145
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1119304
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1119627
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1119739
osub`2`n`(_$,_$)->_$`dOutputForm``1119851
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1119927
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``1120003
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1120118
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1120304
osubscriptedVariables`1`x`(Expression(DoubleFloat))->Expression(DoubleFloat)`pd03AgentsPackage``1120396
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1120450
osubspace`0`n`()->_$`dSubSpace(n,R)``1120648
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1120687
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1120825
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1121009
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`x`(_$,Equation(_$))->_$`cExpressionSpace``1121219
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1121312
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1121460
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1121590
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1121740
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1121845
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1122033
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1122157
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1122277
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1122430
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1122536
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1122699
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1122770
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1122897
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1123023
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1123154
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1123501
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1123695
osumOfSquares`1`x`(Expression(DoubleFloat))->Union(Expression(DoubleFloat),"failed")`pe04AgentsPackage``1123951
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1124069
osum`1`n`(_$)->_$`dOutputForm``1124305
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1124388
osum`2`n`(_$,_$)->_$`dOutputForm``1124568
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1124687
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1124785
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1124885
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1124960
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1125140
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1125215
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1125395
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1125472
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1125629
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1125733
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1125887
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1125991
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1126145
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1126382
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1126619
osup`1`x`(_$)->R`cIntervalCategory(R)``1126819
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1126882
osuperHeight`1`n`(_$)->Integer`dOutputForm``1126988
osuper`2`n`(_$,_$)->_$`dOutputForm``1127074
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1127154
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1127250
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1127373
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,ATTRIBUTE(shallowlyMutable))`1127502
oswapColumns!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1127629
oswapRows!`3`n`(S,Integer,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cMatrixCategory(R,Row,Col)``1127765
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1127895
oswap`1`x`(_$)->_$`dEquation(S)``1127961
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1128045
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1128156
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1128303
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1128483
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1128606
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1128662
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1128751
osymbolTableOf`2`x`(Symbol,_$)->SymbolTable`dTheSymbolTable``1128867
osymbolTable`1`x`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1128939
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt,Expr)``1129022
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`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1129159
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1129355
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1129551
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1129983
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1130218
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1130413
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1130598
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1130820
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1131025
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1131267
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1131374
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1131476
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1132040
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1132571
osystemSizeIF`1`x`(Record(xinit:DoubleFloat,xend:DoubleFloat,fn:Vector(Expression(DoubleFloat)),yinit:List(DoubleFloat),intvals:List(DoubleFloat),g:Expression(DoubleFloat),abserr:DoubleFloat,relerr:DoubleFloat))->Float`pd02AgentsPackage``1132789
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1132972
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1133062
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1133151
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1133310
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1133343
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1133415
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1133614
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1133920
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1134227
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1134300
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1134417
otail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
otail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
otail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
otail`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``1134492
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1134620
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1134756
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1134936
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1135034
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1135138
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1135244
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1135331
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1135439
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1135518
otan`1`n`(F)->F`pElementaryFunction(R,F)``1135660
otan`1`n`(S)->S`xComplexCategory&(S,R)``0
otan`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
otan`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1135722
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1135790
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1135858
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1135927
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1135998
otan`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1136052
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136119
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136221
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1136330
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1136419
otanh`1`n`(S)->S`xComplexCategory&(S,R)``0
otanh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
otanh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1136493
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1136577
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1136661
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1136742
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1136825
otanh`1`x`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1136891
otanintegrate`3`n`(Fraction(UP),(UP)->UP,(Integer,F,F)->Union(List(F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``1136960
otarget`1`x`(_$)->Syntax`dSignature``1137173
otarget`1`x`(_$)->TypeAst`dCoerceAst``1137250
otarget`1`x`(_$)->TypeAst`dMappingAst``1137318
otarget`1`x`(_$)->TypeAst`dPretendAst``1137386
otarget`1`x`(_$)->TypeAst`dRestrictAst``1137454
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1137522
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1137678
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1137775
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1137892
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1138073
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1138141
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1138282
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1138364
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1138474
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1138714
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1138883
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1139047
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1139125
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1139288
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1139647
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1139746
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1140114
oterms`1`n`(_$)->List(Record(coef:R,monom:M))`dMonoidRing(R,M)``1140396
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1140556
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1140637
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1140819
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1140933
otest`1`x`(_$)->_$`dBoolean``1141134
otex`1`x`(_$)->List(String)`dTexFormat``1141230
othenBranch`1`x`(_$)->SpadAst`dIfAst``1141300
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1141362
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1141638
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1141761
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1141958
otitle`1`x`(String)->_$`dDrawOption``1142073
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1142215
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1142417
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1142571
otoScale`1`x`(Boolean)->_$`dDrawOption``1142729
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1142959
otop!`1`x`(_$)->S`cDequeueAggregate(S)``1143165
otopFortranOutputStack`0`x`()->String`pFortranOutputStackPackage``1143242
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1143332
otop`1`x`(_$)->S`cStackAggregate(S)``1143520
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1143698
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1144003
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1144043
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1144083
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1144128
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1144172
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1144326
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1144480
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1144638
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1144802
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`x`(_$)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1144949
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`x`(_$,List(VarSet))->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``1145053
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1145194
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1145298
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1145559
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1145739
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1145970
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1146006
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1146111
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1146267
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1146429
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1146591
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1146701
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`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``1146820
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1146964
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1147074
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1147211
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1147308
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1147597
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1147645
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1147773
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1147897
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1147935
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1148041
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1148261
otranspose`1`n`(Row)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(S)->S`xMatrixCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``1148725
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1148798
otranspose`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)``1148868
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1148941
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1149182
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1149458
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1150154
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1150844
otree`1`x`(List(S))->_$`dTree(S)``1151181
otree`1`x`(S)->_$`dTree(S)``1151256
otree`2`x`(S,List(_$))->_$`dTree(S)``1151334
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1151423
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1151508
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1151593
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1152666
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1152884
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)``1153237
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1153581
otrigs2explogs`3`n`(FG,List(Kernel(FG)),List(Symbol))->FG`pInnerTrigonometricManipulations(R,F,FG)``1153747
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1154098
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1154227
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,Character)->_$`cStringAggregate``1154356
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1154532
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1154719
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1154837
otrue`0`x`()->_$`cPropositionalLogic``1154914
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1154956
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1155075
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1155161
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1155250
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1155380
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1155537
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1155683
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1155877
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1156137
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1156387
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1156739
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1157088
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1157226
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1157370
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1157587
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1157799
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1157877
otubeRadius`1`x`(Float)->_$`dDrawOption``1157968
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1158114
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1158326
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1158413
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1158723
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1158819
otypeList`2`x`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1159136
otypeLists`1`x`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1159231
otype`1`x`(_$)->Syntax`dElaboratedExpression``1159318
ounary?`1`x`(_$)->Boolean`dBasicOperator``1159407
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1159461
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1159512
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1159733
ouniform01`0`n`()->Float`pRandomFloatDistributions``1159795
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1159835
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1159874
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1159913
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1159954
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1160038
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1160106
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1160303
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1160500
ounit?`1`n`(S)->Boolean`xIntegralDomain&(S)``0
ounit?`1`x`(_$)->Boolean`cIntegralDomain``1160627
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`n`(S)->S`xIntegralDomain&(S)``0
ounitCanonical`1`x`(_$)->_$`cIntegralDomain``1160719
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`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cIntegralDomain``1160790
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1161098
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1161299
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1161341
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`has(R,Ring)`1161486
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1161580
ounit`1`x`(List(Float))->_$`dDrawOption``1161692
ounit`1`x`(_$)->R`dFactored(R)``1161843
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1161910
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1162006
ounits`1`n`(_$)->List(Float)`dGraphImage``1162124
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1162295
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1162496
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1162773
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1163021
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1163282
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1163396
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1163552
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1163708
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1163920
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1164193
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1164366
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1164466
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1164639
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1164745
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1164859
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1165655
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1165922
ounivariate`2`n`(S,Kernel(S))->Fraction(SparseUnivariatePolynomial(S))`xFunctionSpace&(S,R)``0
ounivariate`2`x`(Fraction(Polynomial(R)),Symbol)->Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R))))`pRationalFunction(R)``1166024
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1166126
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1166292
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1166385
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1166589
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1166731
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1166779
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1166818
ounknownEndian`0`n`()->_$`dByteOrder``1166914
ounknown`0`n`()->_$`dKleeneTrivalentLogic``1166965
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1166997
ounparse`1`n`(_$)->String`dInputForm``1167156
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1167321
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1167772
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1168241
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1168786
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1168909
ounvectorise`1`n`(Vector(R))->UP`pGaloisGroupPolynomialUtilities(R,UP)``1169036
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1169164
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupDateBranches`5`x`(List(P),List(TS),List(Record(val:List(P),tower:TS)),Record(done:List(TS),todo:List(Record(val:List(P),tower:TS))),NonNegativeInteger)->List(Record(val:List(P),tower:TS))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oupdatD`2`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)),List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1169395
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1169430
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1169465
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1169592
oupperCase!`1`x`(_$)->_$`cStringAggregate``1169770
oupperCase?`1`x`(_$)->Boolean`dCharacter``1169885
oupperCase`0`x`()->_$`dCharacterClass``1169996
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1170120
oupperCase`1`x`(_$)->_$`dCharacter``1170201
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1170370
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1170499
ouseNagFunctions`0`x`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1170696
ouseNagFunctions`1`x`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1170829
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1171036
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1171208
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1171428
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1171563
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1171639
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1171792
ovalue`1`x`(_$)->Integer`dOrdSetInts``1171863
ovalue`1`x`(_$)->SExpression`dProperty``1171931
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1171989
ovalue`1`x`(_$)->String`dQueryEquation``1172052
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1172150
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1172418
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1172677
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1172845
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1173055
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1173323
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1173582
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1173751
ovarList`1`n`(_$)->List(S)`dOrderedFreeMonoid(S)``1173961
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1174029
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1174113
ovarList`1`n`(_$)->List(VarSet)`dMagma(VarSet)``1174204
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1174295
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1174399
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1174490
ovarList`2`x`(Expression(DoubleFloat),NonNegativeInteger)->List(Symbol)`pe04AgentsPackage``1174571
ovarList`2`x`(Symbol,NonNegativeInteger)->List(Symbol)`pd03AgentsPackage``1174685
ovariable?`1`x`(_$)->Boolean`dElaboratedExpression``1174728
ovariable`0`n`()->Symbol`dVariable(sym)``1174797
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1174841
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1174914
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1175031
ovariable`1`x`(_$)->Symbol`dQueryEquation``1175130
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1175233
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1175436
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)``1175552
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1175651
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1175740
ovariables`1`x`(Record(lfn:List(Expression(DoubleFloat)),init:List(DoubleFloat)))->List(Symbol)`pe04AgentsPackage``1175856
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1175950
ovariables`1`x`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1176028
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1176103
ovariables`1`x`(_$)->List(VarSet)`cPolynomialCategory(R,E,VarSet)``1176201
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1176311
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1176462
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1176804
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1176919
ovconcat`1`n`(List(_$))->_$`dOutputForm``1177005
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1177082
ovector`1`x`(List(R))->_$`dVector(R)``1177162
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1177226
ovedf2vef`1`x`(Vector(Expression(DoubleFloat)))->Vector(Expression(Float))`pExpertSystemToolsPackage``1177428
overtConcat`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``1177540
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1177768
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1177839
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1177959
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1178116
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1178234
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1178389
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1178483
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1178618
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1178826
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1179056
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1179135
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1179240
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1179337
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1179475
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1179598
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1179730
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1179896
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1179977
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1180089
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1180355
oviewpoint`2`n`(List(DrawOption),Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`pDrawOptionFunctions0``1180724
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1180946
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1181203
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1181553
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1181950
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1182445
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1182940
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1183087
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1183238
ovoid`0`x`()->_$`dVoid``1183280
ovspace`1`n`(Integer)->_$`dOutputForm``1183325
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1183389
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1183558
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1183832
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1183964
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1184035
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1184102
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1184173
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1184410
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1184450
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1184574
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1184807
owhileLoop`2`x`(Switch,_$)->_$`dFortranCode``1184942
owhitePoint`0`x`()->_$`cRGBColorSpace(T)``1185004
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1185085
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1185149
owholePart`1`x`(_$)->R`dPartialFraction(R)``1185336
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1185421
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1185574
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1185727
owidth`0`n`()->Integer`dOutputForm``1185818
owidth`1`n`(_$)->Integer`dOutputForm``1185892
owidth`1`x`(_$)->R`cIntervalCategory(R)``1185964
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1186034
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1186197
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1186401
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1186615
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1186837
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1187001
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1187114
owriteByte!`2`x`(_$,Byte)->Maybe(Byte)`cOutputByteConduit``1187290
owriteBytes!`2`n`(S,ByteBuffer)->NonNegativeInteger`xOutputByteConduit&(S)``0
owriteBytes!`2`x`(_$,ByteBuffer)->NonNegativeInteger`cOutputByteConduit``1187464
owriteInt8!`2`n`(S,Int8)->Maybe(Int8)`xOutputByteConduit&(S)``0
owriteInt8!`2`x`(_$,Int8)->Maybe(Int8)`cOutputByteConduit``1187607
owriteLine!`1`x`(_$)->String`dTextFile``1187789
owriteLine!`2`x`(_$,String)->String`dTextFile``1187966
owriteUInt8!`2`n`(S,UInt8)->Maybe(UInt8)`xOutputByteConduit&(S)``0
owriteUInt8!`2`x`(_$,UInt8)->Maybe(UInt8)`cOutputByteConduit``1188126
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1188318
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1188554
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1188793
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1189092
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1189365
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1189667
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1189943
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1190077
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1190217
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1190337
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1190591
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1190698
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1190805
oxor`2`x`(_$,_$)->_$`cBitAggregate``1190863
oxor`2`x`(_$,_$)->_$`dBoolean``1190975
oxor`2`x`(_$,_$)->_$`dSingleInteger``1191071
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1191181
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1191436
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1191554
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1191661
oyellow`0`x`()->_$`dColor``1191768
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1191847
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1191968
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1192105
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1192376
ozag`2`n`(_$,_$)->_$`dOutputForm``1192483
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`x`(_$)->Boolean`cAbelianMonoid``1192581
ozero?`1`x`(_$)->Boolean`cLeftLinearSet(R)``1192637
ozero?`1`x`(_$)->Boolean`cRightLinearSet(R)``1192692
ozero?`1`x`(_$)->Boolean`dArity``1192747
ozero?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1192821
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1192895
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1192994
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeals(F,Expon,VarSet,DPoly)``1193211
ozeroDimPrimary?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1193379
ozeroDimPrime?`1`x`(PolynomialIdeals(Fraction(Integer),DirectProduct(nv,NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl,nv)``1193466
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1193551
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1193744
ozeroMatrix`3`x`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1193930
ozeroMatrix`3`x`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1193998
ozeroMatrix`3`x`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1194078
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1194196
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1194427
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1194602
ozeroOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
ozeroOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozeroOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1194833
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1195039
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1195254
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1195625
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1195853
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1196236
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1196631
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1196786
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1197300
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1197809
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1198142
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1198519
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1198665
ozeroSquareMatrix`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1198811
ozeroVector`2`x`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1198863
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1198909
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1198973
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1199042
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1199395
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1199692
ozerosOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
ozerosOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
ozerosOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1199986
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1200314
ozerosOf`3`x`(Expression(DoubleFloat),List(Symbol),Segment(OrderedCompletion(DoubleFloat)))->Stream(DoubleFloat)`pExpertSystemContinuityPackage``1200642
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1200807
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1200845
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1201003
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1201043
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1201085
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1201373
o~=`2`x`(_$,_$)->Boolean`cBasicType``1201429
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`x`(_$)->_$`cLogic``1201494
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1201557
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1201653
pAlgebraicFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`AF`1201737
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1201811
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`1201846
pAlgebraicIntegration`2`n`(R:IntegralDomain,F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1201935
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1202049
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1202164
pAnnaNumericalIntegrationPackage`0`x`()->etc``INTPACK`0
pAnnaNumericalOptimizationPackage`0`x`()->etc``OPTPACK`0
pAnnaOrdinaryDifferentialEquationPackage`0`x`()->etc``ODEPACK`0
pAnnaPartialDifferentialEquationPackage`0`x`()->etc``PDEPACK`0
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1202375
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1202585
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1202672
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1202800
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1202924
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1203042
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1203111
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`1203248
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1203364
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1203478
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1204090
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1204126
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1204233
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1204297
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1204394
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1204499
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1204945
pCombinatorialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`COMBF`1205034
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1205099
pCommonOperators`0`n`()->etc``COMMONOP`1205263
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1205469
pComplexFactorization`2`x`(RR:EuclideanDomain,PR:UnivariatePolynomialCategory(Complex(RR)))->etc`(RR,PR)`COMPFACT`1205585
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1205817
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1205914
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1206040
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1206117
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1206189
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`0
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1206973
pConstantLODE`3`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1207107
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1207195
pCycleIndicators`0`x`()->etc``CYCLES`1207453
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1207490
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1207558
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1207594
pDegreeReductionPackage`2`n`(Ring,R2:IntegralDomain)->etc`(R1,R2)`DEGRED`1207735
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1207771
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1208504
pDiscreteLogarithmPackage`1`n`(M:Join(Monoid,etc))->etc`(M)`DLP`1208822
pDisplayPackage`0`x`()->etc``DISPLAY`1208942
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1209047
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1209340
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1209441
pDrawComplex`0`x`()->etc``DRAWCX`0
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1209544
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1209962
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1209998
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1210034
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1210388
pElementaryFunctionLODESolver`3`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1210518
pElementaryFunctionODESolver`2`x`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1210698
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1210870
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1210985
pElementaryFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1211278
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1211340
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1211503
pElementaryRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEF`1211709
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1211917
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1212015
pErrorFunctions`0`x`()->etc``ERROR`1212091
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1214072
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1214947
pExpertSystemContinuityPackage1`2`x`(DoubleFloat,DoubleFloat)->etc`(A,B)`ESCONT1`1215120
pExpertSystemContinuityPackage`0`x`()->etc``ESCONT`1215202
pExpertSystemToolsPackage1`1`x`(OrderedRing)->etc`(R1)`ESTOOLS1`1215348
pExpertSystemToolsPackage2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`ESTOOLS2`1215499
pExpertSystemToolsPackage`0`x`()->etc``ESTOOLS`1215650
pExpressionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`EXPR2`1215779
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1215875
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1216056
pExpressionSpaceODESolver`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1216350
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1216407
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1216531
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1216621
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1216833
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1217138
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1217251
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1217525
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1217582
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`1217744
pFiniteDivisorFunctions2`8`x`(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`1217889
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1218016
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1218192
pFiniteFieldPolynomialPackage2`2`x`(F:Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1218433
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1218702
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1218869
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:FiniteLinearAggregate(S),R:Type,B:FiniteLinearAggregate(R))->etc`(S,A,R,B)`FLAGG2`1218970
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1219275
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1219364
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1219661
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1220020
pFortranCodePackage1`0`x`()->etc``FCPAK1`1220340
pFortranOutputStackPackage`0`x`()->etc``FOP`1220950
pFortranPackage`0`x`()->etc``FORT`1220997
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1221063
pFractionalIdealFunctions2`8`x`(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`1221224
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1221407
pFunctionFieldCategoryFunctions2`8`x`(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`1221667
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1221727
pFunctionSpaceAssertions`2`x`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1222130
pFunctionSpaceAttachPredicates`3`x`(R:SetCategory,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1222248
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1222366
pFunctionSpaceFunctions2`4`x`(R:Ring,A:FunctionSpace(R),S:Ring,B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1222495
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1222657
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1222776
pFunctionSpaceReduce`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1222884
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1223089
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1223136
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`1223227
pFunctionSpaceUnivariatePolynomialFactor`3`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R),UP:UnivariatePolynomialCategory(F))->etc`(R,F,UP)`FSUPFACT`1223652
pFunctionalSpecialFunction`2`n`(R:IntegralDomain,F:FunctionSpace(R))->etc`(R,F)`FSPECF`1223840
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1223904
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1224012
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1224093
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1224299
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1224373
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1224443
pGenUFactorize`1`n`(EuclideanDomain)->etc`(R)`GENUFACT`1225024
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1225243
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1225381
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1225464
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1225627
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1225776
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`1226148
pGraphicsDefaults`0`x`()->etc``GRDEF`1226192
pGrayCode`0`n`()->etc``GRAY`1226286
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1226427
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1227482
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1227636
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1228691
pHallBasis`0`x`()->etc``HB`1228969
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1229543
pIdealDecompositionPackage`2`x`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`IDECOMP`1229705
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1230015
pInfiniteProductCharacteristicZero`2`x`(Coef:Join(IntegralDomain,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1230089
pInfiniteProductFiniteField`4`x`(K:Join(Field,etc),UP:UnivariatePolynomialCategory(K),Coef:MonogenicAlgebra(K,UP),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(K,UP,Coef,UTS)`INPRODFF`1230209
pInfiniteProductPrimeField`2`x`(Coef:Join(Field,etc),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INPRODPF`1230316
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1230420
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1230482
pInfinity`0`x`()->etc``INFINITY`1230544
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1230655
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(R),B:FiniteLinearAggregate(Q))->etc`(R,Q,A,B)`ICDEN`1230795
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1230964
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`1231124
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`1231388
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1231658
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1231805
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1231976
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1232576
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1232641
pInnerTrigonometricManipulations`3`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1232682
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1232866
pIntegerBits`0`n`()->etc``INTBIT`1232909
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`0
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1232975
pIntegerLinearDependence`1`x`(LinearlyExplicitRingOver(Integer))->etc`(R)`ZLINDEP`1233354
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1233407
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1233488
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1233695
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1233810
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1233935
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1234117
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1234283
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1234400
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1234566
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1234873
pIntegrationTools`2`n`(R:SetCategory,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1235075
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1235254
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`1235327
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1235877
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1235937
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1236502
pKernelFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`KERNEL2`1236646
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1236710
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1236869
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`1236929
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1237801
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1237946
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1238812
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitRingOver(S))->etc`(S,R)`LINDEP`1239043
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1239078
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1239249
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1239383
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1239639
pLinearSystemMatrixPackage`4`x`(F:Field,Row:Join(FiniteLinearAggregate(F),etc),Col:Join(FiniteLinearAggregate(F),etc),M:MatrixCategory(F,Row,Col))->etc`(F,Row,Col,M)`LSMP`1239931
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1240006
pLiouvillianFunction`2`n`(R:IntegralDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1240100
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1240176
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1240324
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1240474
pMPolyCatFunctions2`7`x`(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`1240891
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`1241024
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1241058
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1241443
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1241834
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1242070
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1242131
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1242359
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1242423
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1242559
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1242620
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1242656
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1242692
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1242728
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1242764
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1242800
pMatrixCategoryFunctions2`8`x`(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`1242836
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1242989
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1243142
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1243249
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1243301
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1243468
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1243698
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1243875
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1244000
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1244047
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1244314
pMultiVariableCalculusFunctions`4`x`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:Join(FiniteLinearAggregate(S),etc))->etc`(S,F,FLAF,FLAS)`MCALCFN`1244395
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`1244681
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1244738
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1244901
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1245167
pNAGLinkSupportPackage`0`x`()->etc``NAGSP`1245560
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1245620
pNagEigenPackage`0`x`()->etc``NAGF02`1245897
pNagFittingPackage`0`x`()->etc``NAGE02`1246197
pNagIntegrationPackage`0`x`()->etc``NAGD01`1247648
pNagInterpolationPackage`0`x`()->etc``NAGE01`1247872
pNagLapack`0`x`()->etc``NAGF07`1248399
pNagLinearEquationSolvingPackage`0`x`()->etc``NAGF04`1248596
pNagMatrixOperationsPackage`0`x`()->etc``NAGF01`1248997
pNagOptimisationPackage`0`x`()->etc``NAGE04`1249160
pNagOrdinaryDifferentialEquationsPackage`0`x`()->etc``NAGD02`1249732
pNagPartialDifferentialEquationsPackage`0`x`()->etc``NAGD03`1250296
pNagPolynomialRootsPackage`0`x`()->etc``NAGC02`1250420
pNagRootFindingPackage`0`x`()->etc``NAGC05`1250575
pNagSeriesSummationPackage`0`x`()->etc``NAGC06`1250835
pNagSpecialFunctionsPackage`0`x`()->etc``NAGS`1251069
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1251222
pNonCommutativeOperatorDivision`2`n`(MonogenicLinearOperator(F),Field)->etc`(P,F)`NCODIV`1251547
pNonLinearFirstOrderODESolver`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1251858
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1252011
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1252244
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1252417
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1252533
pNormalizationPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`NORMPK`1252567
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1253328
pNumberFormats`0`n`()->etc``NUMFMT`1253575
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1253727
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1253792
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1254063
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1254201
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1254435
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1254647
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1254747
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1259369
pODEIntegration`2`n`(R:Join(EuclideanDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1262784
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1262950
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1263015
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1263188
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1263346
pOpenMathPackage`0`x`()->etc``OMPKG`1263450
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1263556
pOperationsQuery`0`x`()->etc``OPQUERY`1263924
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1264005
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1264107
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1264236
pOutputPackage`0`x`()->etc``OUT`1264312
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1264368
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1264911
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1265277
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1265634
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1265702
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1265742
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1265776
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1265810
pParser`0`x`()->etc``PARSER`1265844
pPartialFractionPackage`1`n`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1265964
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1266242
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1266406
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1266433
pPatternMatchAssertions`0`x`()->etc``PMASS`1266464
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1266582
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1266658
pPatternMatchIntegration`2`n`(R:Join(RetractableTo(Integer),etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1266727
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(SetCategory,etc))->etc`(S,E)`PMKERNEL`1266922
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1266990
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`1267056
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1267128
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1267205
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1267275
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1267322
pPatternMatchTools`3`n`(S:SetCategory,R:Ring,P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1267390
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1267450
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1267521
pPermutationGroupExamples`0`x`()->etc``PGE`1267617
pPiCoercions`1`x`(IntegralDomain)->etc`(R)`PICOERCE`1268022
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1268213
pPlotTools`0`n`()->etc``PLOTTOOL`1268359
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1268402
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1268436
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1268470
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1268571
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`1268701
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1268802
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1268883
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1269603
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`1269723
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`1270020
pPolynomialComposition`2`x`(UnivariatePolynomialCategory(R),Ring)->etc`(UP,R)`PCOMP`1270143
pPolynomialDecomposition`2`x`(UnivariatePolynomialCategory(F),Field)->etc`(UP,F)`PDECOMP`1270177
pPolynomialFactorizationByRecursionUnivariate`2`n`(R:PolynomialFactorizationExplicit,S:UnivariatePolynomialCategory(R))->etc`(R,S)`PFBRU`1270211
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1270504
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1270719
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`1270862
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1270915
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1270968
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`1271062
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1271137
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1271426
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1271665
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1272095
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1272327
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1272572
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1272749
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1272901
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1272999
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1273229
pPrintPackage`0`x`()->etc``PRINT`1273294
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1273358
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1273474
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1274509
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`1274678
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1274771
pQuasiAlgebraicSet2`2`n`(List(Symbol),nv:NonNegativeInteger)->etc`(vl,nv)`QALGSET2`1274807
pQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`QCMPACK`1276061
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1276800
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1276997
pRadicalEigenPackage`0`x`()->etc``REP`1277105
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1277386
pRadixUtilities`0`x`()->etc``RADUTIL`1277558
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1277624
pRandomFloatDistributions`0`n`()->etc``RFDIST`0
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1277673
pRandomNumberSource`0`x`()->etc``RANDSRC`1277723
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`0
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1277914
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1278040
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1278161
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1278447
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1278529
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1278582
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1278654
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1278698
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1278795
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1278876
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1278938
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1279088
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1279202
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1279266
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1279702
pRealSolvePackage`0`n`()->etc``REALSOLV`1279803
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1279920
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1280225
pRectangularMatrixCategoryFunctions2`10`x`(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`1280529
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`1280703
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`1280804
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1280953
pRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSDCMPK`1281103
pRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`RSETGCD`1282607
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1283380
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1283434
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1283488
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1283990
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1284552
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1284650
pSAERationalFunctionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Polynomial(Integer))),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAERFFC`1284801
pScriptFormulaFormat1`1`x`(SetCategory)->etc`(S)`FORMULA1`1284935
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1285100
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1285202
pSimpleAlgebraicExtensionAlgFactor`3`x`(UP:UnivariatePolynomialCategory(Fraction(Integer)),SAE:Join(Field,etc),UPA:UnivariatePolynomialCategory(SAE))->etc`(UP,SAE,UPA)`SAEFACT`1285279
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1285425
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1285532
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1285638
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1285686
pSpadParser`0`x`()->etc``SPADPRSR`1286248
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1286369
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1286694
pSquareFreeQuasiComponentPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFQCMPK`1286809
pSquareFreeRegularSetDecompositionPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:SquareFreeRegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SRDCMPK`1287652
pSquareFreeRegularTriangularSetGcdPackage`5`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V),TS:RegularTriangularSetCategory(R,E,V,P))->etc`(R,E,V,P,TS)`SFRGCD`1289059
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1289944
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1290243
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1290304
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1290366
pStreamInfiniteProduct`1`n`(Join(IntegralDomain,etc))->etc`(Coef)`STINPROD`1290430
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1290609
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1290754
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1290959
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1291122
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1291309
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1291471
pSupFractionFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:GcdDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`SUPFRACF`1291741
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1291945
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1292012
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1292218
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`0
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1292342
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1292541
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1292979
pTemplateUtilities`0`x`()->etc``TEMUTL`1293032
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1293097
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1293241
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1293286
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1293405
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1293520
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1293648
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1293743
pTransSolvePackageService`1`n`(IntegralDomain)->etc`(R)`SOLVESER`1293817
pTransSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVETRA`1294326
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1295176
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1295227
pTranscendentalManipulations`2`x`(R:GcdDomain,F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1295318
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1295443
pTranscendentalRischDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETR`1295612
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1295768
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1296243
pTubePlotTools`0`n`()->etc``TUBETOOL`1296394
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1296470
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1296583
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1296750
pUnivariateFactorize`1`n`(UnivariatePolynomialCategory(Integer))->etc`(ZP)`UNIFACT`1296879
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1297056
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Ring,PR:UnivariatePolynomialCategory(R),S:Ring,PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1297233
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`1297376
pUnivariatePolynomialDecompositionPackage`2`n`(R:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1297568
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1297753
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1297899
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1298242
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1298532
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1299207
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1299357
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1299485
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1299661
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1299812
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1299889
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1299955
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1300188
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1300493
pViewportPackage`0`n`()->etc``VIEW`1300581
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1300707
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1301271
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1301633
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1301810
pd01AgentsPackage`0`x`()->etc``D01AGNT`1303132
pd01WeightsPackage`0`x`()->etc``D01WGTS`1303521
pd02AgentsPackage`0`x`()->etc``D02AGNT`1303830
pd03AgentsPackage`0`x`()->etc``D03AGNT`0
pe04AgentsPackage`0`x`()->etc``E04AGNT`0
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1303954
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1304082
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1304203
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1304780
xAbstractSyntaxCategory&`1`n`(AbstractSyntaxCategory)->etc`(S)`ASTCAT-`1304933
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1304992
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1305512
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1305605
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),IntegralDomain)->etc`(S,R)`ACFS-`1305651
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1305706
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1305763
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1305991
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1306109
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1306249
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1306464
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1306563
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1306999
xConstructorCategory&`1`n`(ConstructorCategory)->etc`(S)`CTORCAT-`1307086
xDictionary&`2`n`(Dictionary(S),S:SetCategory)->etc`(A,S)`DIAGG-`1307154
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:SetCategory)->etc`(A,S)`DIOPS-`1307474
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1307604
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1307732
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1309058
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1309170
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1311552
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1311709
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1311878
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:SetCategory,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1311924
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1312285
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1312675
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1312832
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1312909
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1313316
xField&`1`n`(Field)->etc`(S)`FIELD-`1313404
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1313626
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Ring,E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1313868
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1314039
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-`1315561
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1315791
xFiniteLinearAggregate&`2`n`(FiniteLinearAggregate(S),S:Type)->etc`(A,S)`FLAGG-`1315851
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1316095
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1316217
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1316368
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1316571
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1317605
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1317718
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1317996
xFullyLinearlyExplicitRingOver&`2`n`(FullyLinearlyExplicitRingOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1318118
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1318349
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1318798
xFunctionSpace&`2`n`(FunctionSpace(R),R:SetCategory)->etc`(S,R)`FS-`1318881
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1318960
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1319267
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1319621
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1320171
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1320283
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1320697
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:SetCategory,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1320757
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1321016
xInputByteConduit&`1`n`(InputByteConduit)->etc`(S)`INBCON-`1321341
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1321400
xIntegralDomain&`1`n`(IntegralDomain)->etc`(S)`INTDOM-`1321466
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`KDAGG-`1321795
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1321904
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1322218
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1322283
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1322448
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1323077
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1323343
xLogic&`1`n`(Logic)->etc`(S)`LOGIC-`1323531
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:Ring,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1323627
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1324243
xMonad&`1`n`(Monad)->etc`(S)`MONAD-`1324310
xMonadWithUnit&`1`n`(MonadWithUnit)->etc`(S)`MONADWU-`1324416
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1324878
xMonoid&`1`n`(Monoid)->etc`(S)`MONOID-`1324988
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1325114
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NASRING-`1325310
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1325456
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1325806
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1326028
xOperatorCategory&`2`n`(OperatorCategory(S),S:SetCategory)->etc`(A,S)`OPERCAT-`1326835
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1327046
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1327180
xOutputByteConduit&`1`n`(OutputByteConduit)->etc`(S)`OUTBCON-`1327438
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1327498
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1327604
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1327774
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-`1328077
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1328691
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1328816
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1328954
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1329046
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1329117
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1329212
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1329507
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-`1329618
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1329847
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1330299
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-`1330778
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1333615
xRing&`1`n`(Ring)->etc`(S)`RING-`1333790
xSemiGroup&`1`n`(SemiGroup)->etc`(S)`SGROUP-`1333888
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1334018
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1334344
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-`1334616
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1334872
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1335243
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:SetCategory,Entry:SetCategory)->etc`(S,Key,Entry)`TBAGG-`1335347
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1335468
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-`1335529
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1336967
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`ARR2CAT-`1337016
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1337571
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1338109
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1338282
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Ring)->etc`(S,R)`UPOLYC-`1338576
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1338724
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1339071
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1339368
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1339751
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1339850
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1340270
