cAbelianGroup`0`x`()->Category``ABELGRP`3
cAbelianMonoidRing`2`x`(Join(SemiRng,etc),OrderedAbelianMonoid)->Category`(R,E)`AMR`126
cAbelianMonoid`0`x`()->Category``ABELMON`722
cAbelianProductCategory`1`n`(Type)->Category`(A)`APRODC`840
cAbelianSemiGroup`0`x`()->Category``ABELSG`919
cAggregate`0`x`()->Category``AGG`1069
cAlgebra`1`x`(CommutativeRing)->Category`(R)`ALGEBRA`1584
cAlgebraicallyClosedField`0`x`()->Category``ACF`1674
cAlgebraicallyClosedFunctionSpace`1`x`(Join(Comparable,etc))->Category`(R)`ACFS`1717
cApproximate`0`n`()->Category``ATAPPRO`1769
cArcHyperbolicFunctionCategory`0`x`()->Category``AHYP`1811
cArcTrigonometricFunctionCategory`0`x`()->Category``ATRIG`1876
cAssociationListAggregate`2`x`(SetCategory,Type)->Category`(Key,Entry)`ALAGG`1930
cBagAggregate`1`x`(Type)->Category`(S)`BGAGG`2096
cBasicType`0`x`()->Category``BASTYPE`2321
cBiCPO`1`n`(SetCategory)->Category`(S)`BICPO`2436
cBiModule`2`x`(SemiRng,SemiRng)->Category`(R,S)`BMODULE`2678
cBialgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`BIALG`2792
cBinaryRecursiveAggregate`1`x`(Type)->Category`(S)`BRAGG`3043
cBinaryTreeCategory`1`x`(SetCategory)->Category`(S)`BTCAT`3181
cBitAggregate`0`x`()->Category``BTAGG`3397
cBoundedDistributiveLattice`0`n`()->Category``BDISTL`3494
cBoundedJoinSemilattice`0`n`()->Category``BJOIN`3722
cBoundedLattice`0`n`()->Category``BLAT`4068
cBoundedMeetSemilattice`0`n`()->Category``BMEET`4242
cCachableSet`0`x`()->Category``CACHSET`4471
cCancellationAbelianMonoid`0`x`()->Category``CABMON`4559
cCanonical`0`n`()->Category``ATCANON`4789
cCharacteristicNonZero`0`x`()->Category``CHARNZ`4930
cCharacteristicZero`0`x`()->Category``CHARZ`4968
cCoDcpo`1`n`(SetCategory)->Category`(S)`CODCPO`5003
cCoalgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`COALG`5231
cCoercibleFrom`1`n`(Type)->Category`(S)`KOERCEF`5398
cCoercibleTo`1`x`(Type)->Category`(S)`KOERCE`5532
cCollection`1`x`(Type)->Category`(S)`CLAGG`5666
cCombinatorialFunctionCategory`0`x`()->Category``CFCAT`6105
cCombinatorialOpsCategory`0`x`()->Category``COMBOPC`6158
cCommutativeRing`0`x`()->Category``COMRING`6290
cCommutativeStar`0`n`()->Category``ATCS`6453
cComparable`0`n`()->Category``COMPAR`6639
cComplexCategory`1`x`(CommutativeRing)->Category`(R)`COMPCAT`6740
cConvertibleFrom`1`n`(Type)->Category`(S)`KONVERF`6825
cConvertibleTo`1`x`(Type)->Category`(S)`KONVERT`6972
cDcpo`1`n`(SetCategory)->Category`(S)`DCPO`7119
cDequeueAggregate`1`x`(Type)->Category`(S)`DQAGG`7355
cDictionaryOperations`1`x`(Type)->Category`(S)`DIOPS`7533
cDictionary`1`x`(Type)->Category`(S)`DIAGG`7661
cDifferentialExtension`1`x`(Ring)->Category`(R)`DIFEXT`7979
cDifferentialPolynomialCategory`4`x`(Ring,S:OrderedSet,DifferentialVariableCategory(S),OrderedAbelianMonoidSup)->Category`(R,S,V,E)`DPOLCAT`8105
cDifferentialRing`0`x`()->Category``DIFRING`9425
cDifferentialVariableCategory`1`x`(OrderedSet)->Category`(S)`DVARCAT`9535
cDirectProductCategory`2`x`(NonNegativeInteger,Type)->Category`(dim,R)`DIRPCAT`11915
cDistributionCategory`1`n`(CommutativeRing)->Category`(R)`DISTCAT`11970
cDistributiveLattice`0`n`()->Category``DISTLAT`12028
cDivisionRing`0`x`()->Category``DIVRING`12256
cDoublyLinkedAggregate`1`x`(Type)->Category`(S)`DLAGG`12423
cElementaryFunctionCategory`0`x`()->Category``ELEMFUN`12624
cEltableAggregate`2`x`(Type,Type)->Category`(Dom,Im)`ELTAGG`12668
cEltable`2`x`(Type,Type)->Category`(S,Im)`ELTAB`13030
cEntireRing`0`x`()->Category``ENTIRER`13337
cEuclideanDomain`0`x`()->Category``EUCDOM`13485
cEvalable`1`x`(SetCategory)->Category`(R)`EVALAB`13873
cExpressionSpace`0`x`()->Category``ES`14028
cExtensibleLinearAggregate`1`x`(Type)->Category`(S)`ELAGG`14103
cExtensionField`1`x`(Field)->Category`(F)`XF`14508
cFacetCategory`0`n`()->Category``FACTCAT`14594
cFieldOfPrimeCharacteristic`0`x`()->Category``FPC`14761
cField`0`x`()->Category``FIELD`15001
cFileCategory`2`x`(SetCategory,SetCategory)->Category`(Name,S)`FILECAT`15221
cFileNameCategory`0`x`()->Category``FNCAT`15456
cFiniteAbelianMonoidRing`2`x`(Join(SemiRng,etc),OrderedAbelianMonoid)->Category`(R,E)`FAMR`15526
cFiniteAlgebraicExtensionField`1`x`(Field)->Category`(F)`FAXF`15695
cFiniteDivisorCategory`4`x`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),FunctionFieldCategory(F,UP,UPUP))->Category`(F,UP,UPUP,R)`FDIVCAT`17236
cFiniteFieldCategory`0`x`()->Category``FFIELDC`17464
cFiniteGraph`1`n`(SetCategory)->Category`(S)`FGRPH`17522
cFiniteGroup`0`n`()->Category``FINGRP`17599
cFiniteLinearAggregate`1`x`(Type)->Category`(S)`FLAGG`17635
cFiniteRankAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FINRALG`17706
cFiniteRankNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FINAALG`17826
cFiniteSetAggregate`1`x`(SetCategory)->Category`(S)`FSAGG`17975
cFinite`0`x`()->Category``FINITE`18176
cFinitelyGenerated`0`n`()->Category``FINGEN`18404
cFloatingPointSystem`0`x`()->Category``FPS`18485
cFortranFunctionCategory`0`n`()->Category``FORTFN`19513
cFortranMachineTypeCategory`0`n`()->Category``FMTC`19646
cFortranMatrixCategory`0`n`()->Category``FMC`19744
cFortranMatrixFunctionCategory`0`n`()->Category``FMFUN`19957
cFortranProgramCategory`0`n`()->Category``FORTCAT`20098
cFortranVectorCategory`0`n`()->Category``FVC`20236
cFortranVectorFunctionCategory`0`n`()->Category``FVFUN`20449
cFramedAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`FRAMALG`20597
cFramedModule`1`n`(Join(SemiRng,etc))->Category`(R)`FRMOD`20708
cFramedNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`FRNAALG`20802
cFreeAbelianMonoidCategory`2`x`(SetCategory,CancellationAbelianMonoid)->Category`(S,E)`FAMONC`21078
cFreeLieAlgebra`2`x`(OrderedSet,CommutativeRing)->Category`(VarSet,R)`FLALG`21344
cFreeModuleCategory`2`x`(Join(SemiRng,etc),Comparable)->Category`(R,S)`FMCAT`21547
cFullyEvalableOver`1`x`(SetCategory)->Category`(R)`FEVALAB`22573
cFullyLinearlyExplicitOver`1`x`(Ring)->Category`(R)`FLINEXP`22693
cFullyPatternMatchable`1`x`(Type)->Category`(R)`FPATMAB`22910
cFullyRetractableTo`1`x`(Type)->Category`(S)`FRETRCT`23102
cFunctionFieldCategory`3`x`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UnivariatePolynomialCategory(Fraction(UP)))->Category`(F,UP,UPUP)`FFCAT`23507
cFunctionSpace`1`x`(Comparable)->Category`(R)`FS`23588
cGcdDomain`0`x`()->Category``GCDDOM`23665
cGradedAlgebra`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRALG`23970
cGradedModule`2`x`(CommutativeRing,AbelianMonoid)->Category`(R,E)`GRMOD`24323
cGroup`0`x`()->Category``GROUP`24870
cHomogeneousAggregate`1`x`(Type)->Category`(S)`HOAGG`24980
cHopfAlgebra`2`x`(R:CommutativeRing,Module(R))->Category`(R,MxM)`HOPFALG`25515
cHyperbolicFunctionCategory`0`x`()->Category``HYPCAT`25565
cIndexedAggregate`2`x`(Type,Type)->Category`(Index,Entry)`IXAGG`25623
cIndexedDirectProductCategory`2`x`(SetCategory,Comparable)->Category`(A,S)`IDPC`25880
cInnerEvalable`2`x`(SetCategory,Type)->Category`(A,B)`IEVALAB`26113
cIntegerNumberSystem`0`x`()->Category``INS`26436
cIntegralDomain`0`x`()->Category``INTDOM`26500
cIntervalCategory`1`x`(Join(FloatingPointSystem,etc))->Category`(R)`INTCAT`26623
cJetBundleBaseFunctionCategory`1`n`(JetBundleCategory)->Category`(JB)`JBBFC`26909
cJetBundleCategory`0`n`()->Category``JBC`27197
cJetBundleFunctionCategory`1`n`(JetBundleCategory)->Category`(JB)`JBFC`27876
cJoinSemilattice`0`n`()->Category``JOINLAT`28298
cKeyedDictionary`2`x`(Type,Type)->Category`(Key,Entry)`KDAGG`28632
cLattice`0`n`()->Category``LAT`28739
cLazyStreamAggregate`1`x`(Type)->Category`(S)`LZSTAGG`28893
cLeftAlgebra`1`x`(Ring)->Category`(R)`LALG`29205
cLeftModule`1`x`(SemiRng)->Category`(R)`LMODULE`29268
cLeftOreRing`0`n`()->Category``LORER`29457
cLieAlgebra`1`x`(CommutativeRing)->Category`(R)`LIECAT`29598
cLinearAggregate`1`x`(Type)->Category`(S)`LNAGG`29812
cLinearOrdinaryDifferentialOperatorCategory`1`x`(Ring)->Category`(A)`LODOCAT`30503
cLinearlyExplicitOver`1`x`(Ring)->Category`(R)`LINEXP`30767
cLiouvillianFunctionCategory`0`x`()->Category``LFCAT`30831
cListAggregate`1`x`(Type)->Category`(S)`LSAGG`30891
cLogic`0`x`()->Category``LOGIC`31077
cMagmaWithUnit`0`x`()->Category``MAGMAWU`31162
cMagma`0`x`()->Category``MAGMA`31620
cMatrixCategory`3`x`(R:AbelianMonoid,FiniteLinearAggregate(R),FiniteLinearAggregate(R))->Category`(R,Row,Col)`MATCAT`31724
cMaybeSkewPolynomialCategory`3`n`(Join(SemiRng,etc),OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`GPOLCAT`32336
cMeetSemilattice`0`n`()->Category``MEETLAT`32518
cModularAlgebraicGcdOperations`3`n`(Type,Type,Type)->Category`(MP,MPT,MD)`MAGCDOC`32738
cModularEvaluationCategory`2`n`(Type,Type)->Category`(PT,MP)`MEVCAT`33622
cModule`1`x`(CommutativeRing)->Category`(R)`MODULE`33766
cMonogenicAlgebra`2`x`(R:CommutativeRing,UnivariatePolynomialCategory(R))->Category`(R,UP)`MONOGEN`33831
cMonoidRingCategory`2`x`(Ring,Monoid)->Category`(R,M)`MRCAT`33939
cMonoid`0`x`()->Category``MONOID`34107
cMultiDictionary`1`x`(SetCategory)->Category`(S)`MDAGG`34231
cMultisetAggregate`1`x`(SetCategory)->Category`(S)`MSETAGG`34426
cMultivariateSkewPolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,Var)`MORECAT`0
cMultivariateTaylorSeriesCategory`2`x`(Ring,OrderedSet)->Category`(Coef,Var)`MTSCAT`34517
cNonAssociativeAlgebra`1`x`(CommutativeRing)->Category`(R)`NAALG`34623
cNonAssociativeRing`0`x`()->Category``NARING`34817
cNonAssociativeRng`0`x`()->Category``NARNG`34961
cNonAssociativeSemiRing`0`n`()->Category``NASRING`35316
cNonAssociativeSemiRng`0`n`()->Category``NASRNG`35426
cNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`NTSCAT`35552
cOctonionCategory`1`x`(CommutativeRing)->Category`(R)`OC`36172
cOneDimensionalArrayAggregate`1`x`(Type)->Category`(S)`A1AGG`36392
cOpenMath`0`x`()->Category``OM`37195
cOrderedAbelianGroup`0`x`()->Category``OAGROUP`37284
cOrderedAbelianMonoidSup`0`x`()->Category``OAMONS`37382
cOrderedAbelianMonoid`0`x`()->Category``OAMON`37691
cOrderedAbelianSemiGroup`0`x`()->Category``OASGP`37790
cOrderedCancellationAbelianMonoid`0`x`()->Category``OCAMON`37934
cOrderedFinite`0`x`()->Category``ORDFIN`38047
cOrderedIntegralDomain`0`x`()->Category``OINTDOM`38074
cOrderedMonoid`0`x`()->Category``ORDMON`38207
cOrderedMultisetAggregate`1`x`(OrderedSet)->Category`(S)`OMSAGG`38312
cOrderedRing`0`x`()->Category``ORDRING`38349
cOrderedSemiGroup`0`n`()->Category``OSGROUP`38482
cOrderedSet`0`x`()->Category``ORDSET`38525
cOutputFormatterCategory`0`n`()->Category``FORMCAT`0
cPAdicIntegerCategory`1`x`(Integer)->Category`(p)`PADICCT`38844
cPartialDifferentialRing`1`x`(SetCategory)->Category`(S)`PDRING`38948
cPartialOrder`0`x`()->Category``PORDER`39053
cPartialTranscendentalFunctions`1`x`(Type)->Category`(K)`PTRANFN`39170
cPatternMatchable`1`x`(SetCategory)->Category`(S)`PATMAB`39305
cPatternable`1`x`(Type)->Category`(R)`PATAB`39426
cPermutationCategory`1`x`(SetCategory)->Category`(S)`PERMCAT`39615
cPlottablePlaneCurveCategory`0`x`()->Category``PPCURVE`39759
cPlottableSpaceCurveCategory`0`x`()->Category``PSCURVE`40101
cPointCategory`1`x`(Ring)->Category`(R)`PTCAT`40446
cPolynomialCategory`3`x`(Join(SemiRng,etc),OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,VarSet)`POLYCAT`40627
cPolynomialFactorizationExplicit`0`x`()->Category``PFECAT`40842
cPolynomialSetCategory`4`x`(R:Ring,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,RecursivePolynomialCategory(R,E,VarSet))->Category`(R,E,VarSet,P)`PSETCAT`40975
cPoset`1`n`(SetCategory)->Category`(S)`POSET`41587
cPowerSeriesCategory`3`x`(Ring,OrderedAbelianMonoid,OrderedSet)->Category`(Coef,Expon,Var)`PSCAT`42060
cPreorder`1`n`(SetCategory)->Category`(S)`PREORD`42184
cPrimitiveFunctionCategory`0`x`()->Category``PRIMCAT`42428
cPrincipalIdealDomain`0`x`()->Category``PID`42483
cPriorityQueueAggregate`1`x`(OrderedSet)->Category`(S)`PRQAGG`42834
cQuaternionCategory`1`x`(CommutativeRing)->Category`(R)`QUATCAT`42951
cQueueAggregate`1`x`(Type)->Category`(S)`QUAGG`43088
cQuotientFieldCategory`1`x`(IntegralDomain)->Category`(S)`QFCAT`43170
cRadicalCategory`0`x`()->Category``RADCAT`43261
cRealClosedField`0`x`()->Category``RCFIELD`43331
cRealConstant`0`x`()->Category``REAL`43425
cRealNumberSystem`0`x`()->Category``RNS`43512
cRealRootCharacterizationCategory`2`x`(TheField:Join(OrderedRing,etc),UnivariatePolynomialCategory(TheField))->Category`(TheField,ThePols)`RRCC`43806
cRectangularMatrixCategory`5`x`(m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),DirectProductCategory(n,R),DirectProductCategory(m,R))->Category`(m,n,R,Row,Col)`RMATCAT`43916
cRecursiveAggregate`1`x`(Type)->Category`(S)`RCAGG`44144
cRecursivePolynomialCategory`3`x`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,E,V)`RPOLCAT`44585
cRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`RSETCAT`45062
cRetractableFrom`1`n`(Type)->Category`(S)`RETFROM`47338
cRetractableTo`1`x`(Type)->Category`(S)`RETRACT`47515
cRightModule`1`x`(SemiRng)->Category`(R)`RMODULE`47689
cRing`0`x`()->Category``RING`47879
cRng`0`x`()->Category``RNG`47976
cSExpressionCategory`4`x`(SetCategory,SetCategory,SetCategory,SetCategory)->Category`(Str,Sym,Int,Flt)`SEXCAT`48200
cSPointCategory`0`n`()->Category``SPTCAT`48302
cSegmentCategory`1`x`(Type)->Category`(S)`SEGCAT`48631
cSegmentExpansionCategory`2`x`(S:OrderedRing,StreamAggregate(S))->Category`(S,L)`SEGXCAT`48722
cSemiGroup`0`x`()->Category``SGROUP`48812
cSemiRing`0`n`()->Category``SRING`48941
cSemiRng`0`n`()->Category``SRNG`49033
cSequenceCategory`1`n`(CommutativeRing)->Category`(R)`SEQUCAT`49141
cSetAggregate`1`x`(SetCategory)->Category`(S)`SETAGG`49239
cSetCategory`0`x`()->Category``SETCAT`49564
cSolvableSkewPolynomialCategory`3`n`(Ring,OrderedAbelianMonoidSup,OrderedSet)->Category`(R,Expon,VarSet)`SSKPOLC`49835
cSpecialFunctionCategory`0`x`()->Category``SPFCAT`50118
cSquareFreeNormalizedTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SNTSCAT`50166
cSquareFreeRegularTriangularSetCategory`4`x`(R:GcdDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`SFRTCAT`50325
cSquareMatrixCategory`4`x`(ndim:NonNegativeInteger,R:Join(SemiRng,etc),DirectProductCategory(ndim,R),DirectProductCategory(ndim,R))->Category`(ndim,R,Row,Col)`SMATCAT`50839
cStackAggregate`1`x`(Type)->Category`(S)`SKAGG`51094
cStepThrough`0`x`()->Category``STEP`51175
cStreamAggregate`1`x`(Type)->Category`(S)`STAGG`51734
cStringAggregate`0`x`()->Category``SRAGG`51995
cStringCategory`0`x`()->Category``STRICAT`52098
cTableAggregate`2`x`(Type,Type)->Category`(Key,Entry)`TBAGG`52139
cTaylorSeriesExpansion`5`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PowerSeriesCategory(Coef,Expon,Var),UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,Expon,Var,PS,UTS)`TSEREXP`0
cTensorPowerCategory`3`x`(NonNegativeInteger,R:CommutativeRing,Module(R))->Category`(n,R,M)`TENSPC`52259
cTensorProductCategory`3`x`(R:CommutativeRing,Module(R),Module(R))->Category`(R,M,N)`TENSCAT`52326
cTensorProductProperty`5`x`(R:CommutativeRing,M:Module(R),N:Module(R),TensorProductCategory(R,M,N),Module(R))->Category`(R,M,N,MxN,S)`TENSPRP`52395
cThreeSpaceCategory`1`x`(Ring)->Category`(R)`SPACEC`52440
cTranscendentalFunctionCategory`0`x`()->Category``TRANFUN`52632
cTriangularSetCategory`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,RecursivePolynomialCategory(R,E,V))->Category`(R,E,V,P)`TSETCAT`52692
cTrigonometricFunctionCategory`0`x`()->Category``TRIGCAT`53776
cTwoDimensionalArrayCategory`3`x`(R:Type,IndexedAggregate(Integer,R),IndexedAggregate(Integer,R))->Category`(R,Row,Col)`ARR2CAT`53824
cType`0`x`()->Category``TYPE`54377
cUnaryRecursiveAggregate`1`x`(Type)->Category`(S)`URAGG`54405
cUniqueFactorizationDomain`0`x`()->Category``UFD`54948
cUnivariateLaurentSeriesCategory`1`x`(Ring)->Category`(Coef)`ULSCAT`55120
cUnivariateLaurentSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateTaylorSeriesCategory(Coef))->Category`(Coef,UTS)`ULSCCAT`55220
cUnivariatePolynomialCategory`1`x`(Join(SemiRng,etc))->Category`(R)`UPOLYC`55515
cUnivariatePowerSeriesCategory`2`x`(Ring,OrderedAbelianMonoid)->Category`(Coef,Expon)`UPSCAT`55662
cUnivariatePuiseuxSeriesCategory`1`x`(Ring)->Category`(Coef)`UPXSCAT`56008
cUnivariatePuiseuxSeriesConstructorCategory`2`x`(Coef:Ring,UnivariateLaurentSeriesCategory(Coef))->Category`(Coef,ULS)`UPXSCCA`56108
cUnivariateSkewPolynomialCategory`1`x`(Ring)->Category`(R)`OREPCAT`56407
cUnivariateTaylorSeriesCategory`1`x`(Ring)->Category`(Coef)`UTSCAT`56789
cVarCat`0`n`()->Category``VARCAT`56887
cVariablesCommuteWithCoefficients`0`n`()->Category``ATVCWC`57185
cVectorCategory`1`x`(Type)->Category`(R)`VECTCAT`57274
cVectorSpace`1`x`(Field)->Category`(S)`VSPACE`57693
cXAlgebra`1`x`(Ring)->Category`(R)`XALG`57764
cXFreeAlgebra`2`x`(OrderedSet,Ring)->Category`(vl,R)`XFALG`58023
cXPolynomialsCat`2`x`(OrderedSet,Ring)->Category`(vl,R)`XPOLYC`58129
cadditiveValuation`0`n`()->Category``ATADDVA`58294
carbitraryExponent`0`n`()->Category``ATARBEX`58406
carbitraryPrecision`0`n`()->Category``ATARBPR`58465
ccanonicalUnitNormal`0`n`()->Category``ATCUNOR`58561
ccanonicalsClosed`0`n`()->Category``ATCANCL`58806
cfiniteAggregate`0`n`()->Category``ATFINAG`58919
clazyRepresentation`0`n`()->Category``ATLR`58987
cmultiplicativeValuation`0`n`()->Category``ATMULVA`59055
cnoZeroDivisors`0`n`()->Category``ATNZDIV`59167
cshallowlyMutable`0`n`()->Category``ATSHMUT`59278
cunitsKnown`0`n`()->Category``ATUNIKN`59377
dAlgebraGivenByStructuralConstants`4`x`(R:Field,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(R),etc)`(R,n,ls,gamma)`ALGSC`59541
dAlgebraicFunctionField`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),UPUP)->Join(FunctionFieldCategory(F,UP,UPUP),etc)`(F,UP,UPUP,modulus)`ALGFF`60009
dAlgebraicNumber`0`x`()->Join(ExpressionSpace,etc)``AN`60077
dAnonymousFunction`0`n`()->SetCategory``ANON`60126
dAntiSymm`2`n`(Ring,List(Symbol))->Join(LeftAlgebra(R),etc)`(R,lVar)`ANTISYM`60175
dAny`0`x`()->Join(SetCategory,etc)``ANY`60222
dArrayStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`ASTACK`60656
dAssociatedJordanAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`JORDAN`60703
dAssociatedLieAlgebra`2`x`(R:CommutativeRing,A:NonAssociativeAlgebra(R))->Join(NonAssociativeAlgebra(R),etc)`(R,A)`LIE`61933
dAssociationList`2`n`(SetCategory,Entry:Type)->AssociationListAggregate(Key,Entry)`(Key,Entry)`ALIST`62992
dAutomorphism`1`n`(Ring)->Join(Group,etc)`(R)`AUTOMOR`63299
dBalancedBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BBTREE`63385
dBalancedPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`BPADIC`63737
dBalancedPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(BalancedPAdicInteger(p)),etc)`(p)`BPADICRT`63959
dBasicOperator`0`x`()->Join(OrderedSet,etc)``BOP`64174
dBinaryExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``BINARY`64308
dBinaryFile`0`x`()->Join(FileCategory(FileName,SingleInteger),etc)``BINFILE`64398
dBinarySearchTree`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BSTREE`64516
dBinaryTournament`1`x`(OrderedSet)->Join(BinaryTreeCategory(S),etc)`(S)`BTOURN`64765
dBinaryTree`1`x`(SetCategory)->Join(BinaryTreeCategory(S),etc)`(S)`BTREE`65055
dBitStreamFrame`0`n`()->Join(Lattice,etc)``BITST`65289
dBits`0`x`()->Join(BitAggregate,etc)``BITS`65371
dBoolean`0`x`()->Join(OrderedSet,etc)``BOOLEAN`65438
dCardinalNumber`0`x`()->Join(OrderedSet,etc)``CARD`65545
dCartesianTensor`3`x`(Integer,dim:NonNegativeInteger,R:CommutativeRing)->Join(GradedAlgebra(R,NonNegativeInteger),etc)`(minix,dim,R)`CARTEN`66951
dCell`1`n`(RealClosedField)->Join(CoercibleTo(OutputForm),etc)`(TheField)`CELL`0
dChainComplex`0`n`()->Join(SetCategory,etc)``CHAINC`67199
dCharacterClass`0`x`()->Join(SetCategory,etc)``CCLASS`67610
dCharacter`0`x`()->Join(OrderedFinite,etc)``CHAR`67700
dCliffordAlgebra`3`x`(n:PositiveInteger,K:Field,SquareMatrix(n,K))->Join(Ring,etc)`(n,K,bLin)`CLIF`67758
dCoChainComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`COCHNC`68021
dColor`0`x`()->Join(AbelianSemiGroup,etc)``COLOR`68436
dCommutator`0`x`()->Join(SetCategory,etc)``COMM`68546
dComplexDoubleFloatMatrix`0`n`()->MatrixCategory(Complex(DoubleFloat),ComplexDoubleFloatVector,ComplexDoubleFloatVector)``CDFMAT`68581
dComplexDoubleFloatVector`0`n`()->Join(VectorCategory(Complex(DoubleFloat)),etc)``CDFVEC`68801
dComplex`1`x`(CommutativeRing)->Join(ComplexCategory(R),etc)`(R)`COMPLEX`69020
dContinuedFraction`1`x`(EuclideanDomain)->Join(Algebra(R),etc)`(R)`CONTFRAC`69225
dCubicalFacet`0`n`()->Join(FacetCategory,etc)``CFACET`69818
dCyclicGroup`2`n`(PositiveInteger,Symbol)->Join(FiniteGroup,etc)`(n,g)`CYCGRP`70153
dDataList`1`x`(OrderedSet)->Join(ListAggregate(S),etc)`(S)`DLIST`70194
dDatabase`1`x`(Join(OrderedSet,etc))->Join(SetCategory,etc)`(S)`DBASE`70250
dDeRhamComplex`2`n`(Join(Ring,etc),List(Symbol))->Join(LeftAlgebra(Expression(CoefRing)),etc)`(CoefRing,listIndVar)`DERHAM`70357
dDecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``DECIMAL`70621
dDeltaComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`DELTAC`70712
dDenavitHartenbergMatrix`1`x`(Join(Field,etc))->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`DHMATRIX`71359
dDequeue`1`x`(SetCategory)->Join(DequeueAggregate(S),etc)`(S)`DEQUEUE`71646
dDifferentialSparseMultivariatePolynomial`3`n`(Ring,S:OrderedSet,V:DifferentialVariableCategory(S))->Join(DifferentialPolynomialCategory(R,S,V,IndexedExponents(V)),etc)`(R,S,V)`DSMP`71692
dDihedralGroup`3`n`(PositiveInteger,Symbol,Symbol)->Join(FiniteGroup,etc)`(n,a,b)`DIHGRP`71958
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`72091
dDirectProductModule`3`n`(NonNegativeInteger,R:Ring,S:LeftModule(R))->Join(DirectProductCategory(n,S),etc)`(n,R,S)`DPMO`72177
dDirectProduct`2`n`(NonNegativeInteger,R:Type)->DirectProductCategory(dim,R)`(dim,R)`DIRPROD`72276
dDirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`DGRPH`72885
dDirichletRing`1`n`(Ring)->Join(Ring,etc)`(Coef)`DIRRING`72965
dDistributedJetBundlePolynomial`4`n`(Ring,JB:JetBundleCategory,LJV:List(JB),E:DirectProductCategory(#(LJV),NonNegativeInteger))->Join(PolynomialCategory(R,E,JB),etc)`(R,JB,LJV,E)`DJBP`73068
dDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`DMP`73333
dDistribution`1`x`(CommutativeRing)->Join(DistributionCategory(R),etc)`(R)`DISTRO`73696
dDoubleFloatMatrix`0`n`()->MatrixCategory(DoubleFloat,DoubleFloatVector,DoubleFloatVector)``DFMAT`73841
dDoubleFloatVector`0`n`()->Join(VectorCategory(DoubleFloat),etc)``DFVEC`74053
dDoubleFloat`0`x`()->Join(FloatingPointSystem,etc)``DFLOAT`74264
dDrawOption`0`x`()->Join(SetCategory,etc)``DROPT`76114
dElementaryFunctionsGeneralizedUnivariatePowerSeries`3`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,PS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc))->Join(PartialTranscendentalFunctions(PS),etc)`(Coef,Expon,PS)`EFGUSER`0
dElementaryFunctionsUnivariateLaurentSeries`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->Join(PartialTranscendentalFunctions(ULS),etc)`(Coef,UTS,ULS)`EFULS`76208
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`76627
dEnumeration`1`x`special`(a,b,...,c)`ENUM`77046
dEqTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`EQTBL`77202
dEquation`1`x`(Type)->Join(Type,etc)`(S)`EQ`77367
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`77607
dExit`0`x`()->SetCategory``EXIT`77807
dExponentialExpansion`4`n`(R:Join(Comparable,etc),FE:Join(AlgebraicallyClosedField,etc),var:Symbol,cen:FE)->Join(QuotientFieldCategory(UnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)),etc)`(R,FE,var,cen)`EXPEXPAN`78094
dExponentialOfUnivariatePuiseuxSeries`3`n`(FE:Join(Field,etc),var:Symbol,cen:FE)->Join(UnivariatePuiseuxSeriesCategory(FE),etc)`(FE,var,cen)`EXPUPXS`78387
dExpression`1`x`(Comparable)->Join(FunctionSpace(R),etc)`(R)`EXPR`79168
dExtAlgBasis`0`n`()->Join(OrderedSet,etc)``EAB`79216
dFactored`1`x`(IntegralDomain)->Join(IntegralDomain,etc)`(R)`FR`80060
dFakePolynomial`0`n`()->etc``FAKEPOL`80905
dFileName`0`x`()->FileNameCategory``FNAME`81236
dFile`1`x`(SetCategory)->Join(FileCategory(FileName,S),etc)`(S)`FILE`81305
dFiniteBiCPO`1`n`(SetCategory)->Join(BiCPO(S),etc)`(S)`FBICPO`81439
dFiniteCoDcpo`1`n`(SetCategory)->Join(CoDcpo(S),etc)`(S)`FCDCPO`81875
dFiniteCubicalComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`CUBEC`82348
dFiniteDcpo`1`n`(SetCategory)->Join(Dcpo(S),etc)`(S)`FDCPO`82649
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`83122
dFiniteFieldCyclicGroupExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,defpol)`FFCGP`83351
dFiniteFieldCyclicGroupExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFCGX`83959
dFiniteFieldCyclicGroup`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFCG`84597
dFiniteFieldExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,SparseUnivariatePolynomial(GF))->FiniteAlgebraicExtensionField(GF)`(GF,defpol)`FFP`85254
dFiniteFieldExtension`2`n`(FiniteFieldCategory,PositiveInteger)->FiniteAlgebraicExtensionField(GF)`(GF,n)`FFX`85528
dFiniteFieldNormalBasisExtensionByPolynomial`2`n`(GF:FiniteFieldCategory,Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger)))))->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,uni)`FFNBP`85827
dFiniteFieldNormalBasisExtension`2`n`(FiniteFieldCategory,PositiveInteger)->Join(FiniteAlgebraicExtensionField(GF),etc)`(GF,extdeg)`FFNBX`86345
dFiniteFieldNormalBasis`2`x`(PositiveInteger,PositiveInteger)->Join(FiniteAlgebraicExtensionField(PrimeField(p)),etc)`(p,extdeg)`FFNB`86860
dFiniteField`2`x`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(PrimeField(p))`(p,n)`FF`87357
dFiniteLattice`2`n`(S:SetCategory,FiniteBiCPO(S))->Join(Lattice,etc)`(S,p)`FINLAT`87556
dFiniteMoebiusFunction`1`n`(Join(PartialOrder,etc))->Join(SetCategory,etc)`(P)`FMOEBF`87814
dFinitePoset`1`n`(SetCategory)->Poset(S)`(S)`FPOSET`87893
dFiniteSimplicialComplex`1`n`(AbelianGroup)->Join(SetCategory,etc)`(VS)`SIMPC`88366
dFlexibleArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`FARRAY`88843
dFloat`0`x`()->Join(FloatingPointSystem,etc)``FLOAT`89859
dFortranCode`0`n`()->Join(SetCategory,etc)``FC`93641
dFortranExpression`3`n`(List(Symbol),List(Symbol),R:FortranMachineTypeCategory)->Join(ExpressionSpace,etc)`(basicSymbols,subscriptedSymbols,R)`FEXPR`93747
dFortranFormat`0`n`()->OutputFormatterCategory``FORTFORM`0
dFortranProgram`4`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol),SymbolTable)->Join(FortranProgramCategory,etc)`(name,returnType,arguments,symbols)`FORTRAN`93906
dFortranScalarType`0`n`()->Join(CoercibleTo(OutputForm),etc)``FST`94076
dFortranTemplate`0`n`()->Join(FileCategory(FileName,String),etc)``FTEM`94216
dFortranType`0`n`()->Join(SetCategory,etc)``FT`94259
dFourierComponent`1`n`(OrderedSet)->Join(OrderedSet,etc)`(E)`FCOMP`94367
dFourierSeries`2`x`(Join(CommutativeRing,etc),E:Join(OrderedSet,etc))->Join(Algebra(R),etc)`(R,E)`FSERIES`94544
dFraction`1`x`(IntegralDomain)->Join(QuotientFieldCategory(S),etc)`(S)`FRAC`94721
dFractionalIdealAsModule`5`n`(R:EuclideanDomain,F:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(F),A:FramedAlgebra(F,UP),Vector(A))->Join(Monoid,etc)`(R,F,UP,A,ibasis)`FRIMOD`94793
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`94843
dFreeAbelianGroup`1`n`(SetCategory)->Join(AbelianGroup,etc)`(S)`FAGROUP`94888
dFreeAbelianMonoid`1`n`(SetCategory)->FreeAbelianMonoidCategory(S,NonNegativeInteger)`(S)`FAMONOID`95139
dFreeGroup`1`n`(SetCategory)->Join(Group,etc)`(S)`FGROUP`95404
dFreeMagma`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`FMAGMA`95659
dFreeModule`2`n`(Join(SemiRng,etc),S:Comparable)->Join(BiModule(R,R),etc)`(R,S)`FM`95858
dFreeMonoid`1`n`(SetCategory)->Join(Monoid,etc)`(S)`FMONOID`96668
dFreeNilpotentLie`3`x`(NonNegativeInteger,NonNegativeInteger,R:CommutativeRing)->Join(NonAssociativeAlgebra(R),etc)`(n,class,R)`FNLA`97282
dFullPartialFractionExpansion`2`x`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->Join(SetCategory,etc)`(F,UP)`FPARFRAC`97422
dFunctionCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`FUNCTION`97749
dFunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`FNGRPH`97794
dGeneralDistributedMultivariatePolynomial`3`n`(vl:List(Symbol),R:Ring,E:DirectProductCategory(#(vl),NonNegativeInteger))->Join(PolynomialCategory(R,E,OrderedVariableList(vl)),etc)`(vl,R,E)`GDMP`97843
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`98404
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`98437
dGeneralQuaternion`3`n`(R:CommutativeRing,R,R)->QuaternionCategory(R)`(R,p,q)`QUAT2`98473
dGeneralSparseTable`4`n`(Key:SetCategory,Entry:BasicType,TableAggregate(Key,Entry),Entry)->TableAggregate(Key,Entry)`(Key,Entry,Tbl,dent)`GSTBL`98791
dGeneralTriangularSet`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->TriangularSetCategory(R,E,V,P)`(R,E,V,P)`GTSET`98909
dGeneralUnivariatePowerSeries`3`x`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesCategory(Coef),etc)`(Coef,var,cen)`GSERIES`99394
dGeneralizedFiniteMoebiusFunction`2`n`(Join(PartialOrder,etc),R:Field)->etc`(P,R)`GENMOEBF`99694
dGeneralizedUnivariatePowerSeries`4`n`(Coef:Ring,Expon:Join(OrderedAbelianMonoid,etc),Symbol,Coef)->Join(UnivariatePowerSeriesCategory(Coef,Expon),etc)`(Coef,Expon,var,cen)`GENUSER`0
dGenericNonAssociativeAlgebra`4`n`(R:CommutativeRing,n:PositiveInteger,List(Symbol),Vector(Matrix(R)))->Join(FramedNonAssociativeAlgebra(Fraction(Polynomial(R))),etc)`(R,n,ls,gamma)`GCNAALG`99766
dGraphImage`0`n`()->Join(SetCategory,etc)``GRIMAGE`99932
dGroupPresentation`0`n`()->Join(SetCategory,etc)``GROUPP`100043
dGuessOptionFunctions0`0`n`()->Join(SetCategory,etc)``GOPT0`100481
dGuessOption`0`x`()->Join(SetCategory,etc)``GOPT`100593
dHTMLFormat`0`n`()->Join(SetCategory,etc)``HTMLFORM`100684
dHashState`0`n`()->etc``HASHSTAT`100768
dHashTable`3`n`(SetCategory,Entry:Type,String)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,hashfn)`HASHTBL`100835
dHeap`1`x`(OrderedSet)->Join(PriorityQueueAggregate(S),etc)`(S)`HEAP`100994
dHexadecimalExpansion`0`x`()->Join(QuotientFieldCategory(Integer),etc)``HEXADEC`101061
dHomogeneousDirectProduct`2`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dim,S)`(dim,S)`HDP`101156
dHomogeneousDistributedMultivariatePolynomial`2`n`(List(Symbol),R:Ring)->Join(PolynomialCategory(R,HomogeneousDirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl)),etc)`(vl,R)`HDMP`101494
dHomology`0`n`()->Join(SetCategory,etc)``HOMOL`101903
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`102251
dILogic`0`n`()->Join(BoundedLattice,etc)``ILOGIC`102605
dIncidenceAlgebra`2`n`(Ring,S:SetCategory)->Join(SetCategory,etc)`(R,S)`INCALG`102661
dIndexCard`0`x`()->Join(OrderedSet,etc)``ICARD`102717
dIndexedBits`1`n`(Integer)->Join(BitAggregate,etc)`(mn)`IBITS`102812
dIndexedDirectProductObject`2`n`(SetCategory,S:Comparable)->IndexedDirectProductCategory(A,S)`(A,S)`IDPO`102910
dIndexedExponents`1`n`(OrderedSet)->Join(OrderedAbelianMonoidSup,etc)`(Varset)`INDE`103400
dIndexedFlexibleArray`2`n`(Type,Integer)->Join(OneDimensionalArrayAggregate(S),etc)`(S,mn)`IFARRAY`103446
dIndexedJetBundle`5`n`(Symbol,Symbol,Symbol,PositiveInteger,PositiveInteger)->JetBundleCategory`(x,u,p,n,m)`IJB`104539
dIndexedList`2`n`(Type,Integer)->ListAggregate(S)`(S,mn)`ILIST`104680
dIndexedMatrix`3`n`(AbelianMonoid,mnRow:Integer,mnCol:Integer)->MatrixCategory(R,IndexedVector(R,mnCol),IndexedVector(R,mnRow))`(R,mnRow,mnCol)`IMATRIX`105159
dIndexedOneDimensionalArray`2`n`(Type,Integer)->OneDimensionalArrayAggregate(S)`(S,mn)`IARRAY1`105630
dIndexedString`1`n`(Integer)->StringAggregate`(mn)`ISTRING`105738
dIndexedTwoDimensionalArray`3`n`(Type,mnRow:Integer,mnCol:Integer)->TwoDimensionalArrayCategory(R,IndexedOneDimensionalArray(R,mnCol),IndexedOneDimensionalArray(R,mnRow))`(R,mnRow,mnCol)`IARRAY2`105785
dIndexedVector`2`n`(Type,Integer)->VectorCategory(R)`(R,mn)`IVECTOR`106364
dInfiniteCyclicGroup`1`n`(Symbol)->Join(Group,etc)`(g)`INFCG`106482
dInfiniteTuple`1`x`(Type)->Join(CoercibleTo(OutputForm),etc)`(S)`ITUPLE`106512
dInnerAlgebraicNumber`0`n`()->Join(ExpressionSpace,etc)``IAN`106627
dInnerFiniteField`2`n`(PositiveInteger,PositiveInteger)->FiniteAlgebraicExtensionField(InnerPrimeField(p))`(p,n)`IFF`106676
dInnerFreeAbelianMonoid`3`n`(SetCategory,E:CancellationAbelianMonoid,E)->FreeAbelianMonoidCategory(S,E)`(S,E,un)`IFAMON`106904
dInnerIndexedTwoDimensionalArray`5`n`(R:Type,Integer,Integer,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->TwoDimensionalArrayCategory(R,Row,Col)`(R,mnRow,mnCol,Row,Col)`IIARRAY2`106960
dInnerPAdicInteger`2`n`(Integer,Boolean)->PAdicIntegerCategory(p)`(p,unBalanced?)`IPADIC`107117
dInnerPrimeField`1`n`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`IPF`107233
dInnerSparseUnivariatePowerSeries`1`n`(Ring)->Join(UnivariatePowerSeriesCategory(Coef,Integer),etc)`(Coef)`ISUPS`107436
dInnerTable`3`n`(Key:SetCategory,Entry:Type,Join(TableAggregate(Key,Entry),etc))->Join(TableAggregate(Key,Entry),etc)`(Key,Entry,addDom)`INTABL`107563
dInnerTaylorSeries`1`n`(Ring)->Join(Ring,etc)`(Coef)`ITAYLOR`107671
dInputForm`0`n`()->Join(SExpressionCategory(String,Symbol,Integer,DoubleFloat),etc)``INFORM`108047
dIntegerMod`1`n`(PositiveInteger)->Join(CommutativeRing,etc)`(p)`ZMOD`108199
dInteger`0`x`()->Join(IntegerNumberSystem,etc)``INT`108292
dIntegrationResult`1`n`(Field)->Join(Module(Fraction(Integer)),etc)`(F)`IR`108370
dInterval`1`x`(Join(FloatingPointSystem,etc))->IntervalCategory(R)`(R)`INTRVL`108874
dJetBundleExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBE`109169
dJetBundleLinearFunction`2`n`(JB:JetBundleCategory,D:JetBundleBaseFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JBLF`109503
dJetBundlePolynomial`2`n`(Ring,JB:JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(R,JB)`JBP`109657
dJetBundleSymAna`3`n`(JetBundleCategory,Union(Symbol,List(Symbol)),Union(Symbol,List(Symbol)))->Join(JetBundleCategory,etc)`(JB1,xi,eta)`JBSA`109814
dJetBundleXExpression`1`n`(JetBundleCategory)->Join(JetBundleFunctionCategory(JB),etc)`(JB)`JBX`110042
dJetBundle`2`n`(List(Symbol),List(Symbol))->Join(JetBundleCategory,etc)`(IVar,DVar)`JBUNDLE`110305
dJetDifferentialEquation`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`JDE`110475
dJetDifferential`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JDIFF`111088
dJetLazyFunction`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(JetBundleFunctionCategory(JB),etc)`(JB,D)`JLF`111315
dJetVectorField`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->Join(Module(D),etc)`(JB,D)`JVF`112254
dKernel`1`n`(Comparable)->Join(CachableSet,etc)`(S)`KERNEL`112426
dKeyedAccessFile`1`x`(SetCategory)->Join(FileCategory(FileName,Record(key:String,entry:Entry)),etc)`(Entry)`KAFILE`112528
dLambda`1`n`(VarCat)->Join(CoercibleTo(OutputForm),etc)`(UT)`LAMBDA`112625
dLatticeJoinOfMeets`0`n`()->Join(BoundedDistributiveLattice,etc)``LATJOFM`112656
dLatticeMeetOfJoins`0`n`()->Join(BoundedDistributiveLattice,etc)``LATMOFJ`112712
dLaurentPolynomial`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->Join(DifferentialExtension(UP),etc)`(R,UP)`LAUPOL`112768
dLibrary`0`x`()->Join(TableAggregate(String,Any),etc)``LIB`112897
dLieExponentials`3`n`(OrderedSet,R:Join(CommutativeRing,etc),PositiveInteger)->Join(Group,etc)`(VarSet,R,Order)`LEXP`112962
dLiePolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(FreeLieAlgebra(VarSet,R),etc)`(VarSet,R)`LPOLY`113330
dLieSquareMatrix`2`x`(PositiveInteger,R:CommutativeRing)->Join(CoercibleTo(SquareMatrix(n,R)),etc)`(n,R)`LSQM`113522
dLinearOrdinaryDifferentialOperator1`1`n`(DifferentialRing)->LinearOrdinaryDifferentialOperatorCategory(A)`(A)`LODO1`113877
dLinearOrdinaryDifferentialOperator2`2`n`(A:DifferentialRing,M:Join(LeftModule(A),etc))->Join(LinearOrdinaryDifferentialOperatorCategory(A),etc)`(A,M)`LODO2`114123
dLinearOrdinaryDifferentialOperator3`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->LinearOrdinaryDifferentialOperatorCategory(R)`(Coeff,A,R)`LODO3`114404
dLinearOrdinaryDifferentialOperator`2`x`(A:Ring,(A)->A)->LinearOrdinaryDifferentialOperatorCategory(A)`(A,diff)`LODO`114661
dListMonoidOps`3`n`(SetCategory,E:AbelianMonoid,E)->Join(SetCategory,etc)`(S,E,un)`LMOPS`114917
dListMultiDictionary`1`n`(SetCategory)->Join(MultiDictionary(S),etc)`(S)`LMDICT`115088
dList`1`x`(Type)->Join(ListAggregate(S),etc)`(S)`LIST`115475
dLocalAlgebra`2`n`(Algebra(R),R:CommutativeRing)->Join(Algebra(R),etc)`(A,R)`LA`115760
dLocalize`2`n`(Module(R),R:CommutativeRing)->Join(Module(R),etc)`(M,R)`LO`115900
dLoop`0`n`()->Join(SetCategory,etc)``LOOP`116062
dLyndonWord`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`LWORD`116372
dMachineComplex`0`n`()->Join(FortranMachineTypeCategory,etc)``MCMPLX`117196
dMachineFloat`0`n`()->Join(FloatingPointSystem,etc)``MFLOAT`117298
dMachineInteger`0`n`()->Join(FortranMachineTypeCategory,etc)``MINT`117400
dMakeCachableSet`1`n`(SetCategory)->Join(CachableSet,etc)`(S)`MKCHSET`117495
dMapping`1`x`special`(T,S)`MAPPING`117587
dMathMLFormat`0`x`()->Join(SetCategory,etc)``MMLFORM`117827
dMatrix`1`x`(AbelianMonoid)->Join(MatrixCategory(R,Vector(R),Vector(R)),etc)`(R)`MATRIX`117922
dModMonic`2`n`(R:Ring,Rep:UnivariatePolynomialCategory(R))->Join(UnivariatePolynomialCategory(R),etc)`(R,Rep)`MODMON`118023
dModularAlgebraicGcdTools2`0`n`()->ModularAlgebraicGcdOperations(Polynomial(Integer),PrimitiveArray(U32Vector),Record(svz:Symbol,sm:U32Vector,sp:Integer))``MAGCDT2`0
dModularAlgebraicGcdTools3`0`n`()->Join(ModularAlgebraicGcdOperations(Polynomial(Integer),SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer)),etc)``MAGCDT3`0
dModularAlgebraicGcdTools4`0`n`()->ModularAlgebraicGcdOperations(FakePolynomial,SparseUnivariatePolynomial(Polynomial(Integer)),Record(svz:List(Symbol),sm:List(Polynomial(Integer)),msizes:List(Integer),sp:Integer))``MAGCDT4`0
dModularEvaluation1`0`n`()->ModularEvaluationCategory(Polynomial(Integer),Polynomial(Integer))``MEVAL1`0
dModularEvaluation2`0`n`()->ModularEvaluationCategory(Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))),FakePolynomial)``MEVAL2`0
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`118056
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`118278
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`118488
dModuleOperator`2`x`(R:Ring,M:LeftModule(R))->Join(Ring,etc)`(R,M)`MODOP`118521
dMoebiusTransform`1`n`(Field)->Join(Group,etc)`(F)`MOEBIUS`118570
dMonoidRing`2`n`(Ring,M:Monoid)->MonoidRingCategory(R,M)`(R,M)`MRING`118693
dMultifunctionGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`MFGRPH`119656
dMultiset`1`x`(SetCategory)->Join(MultisetAggregate(S),etc)`(S)`MSET`119705
dMultivariatePolynomial`2`x`(List(Symbol),R:Ring)->PolynomialCategory(R,IndexedExponents(OrderedVariableList(vl)),OrderedVariableList(vl))`(vl,R)`MPOLY`119752
dNewSparseMultivariatePolynomial`2`n`(Ring,VarSet:OrderedSet)->Join(RecursivePolynomialCategory(R,IndexedExponents(VarSet),VarSet),etc)`(R,VarSet)`NSMP`120074
dNewSparseUnivariatePolynomial`1`n`(Ring)->Join(UnivariatePolynomialCategory(R),etc)`(R)`NSUP`120327
dNonNegativeInteger`0`x`()->Join(OrderedAbelianMonoidSup,etc)``NNI`120513
dNone`0`n`()->SetCategory``NONE`120609
dOctonion`1`x`(CommutativeRing)->Join(OctonionCategory(R),etc)`(R)`OCT`120883
dOneDimensionalArray`1`x`(Type)->Join(OneDimensionalArrayAggregate(S),etc)`(S)`ARRAY1`121406
dOnePointCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ONECOMP`121465
dOpenMathConnection`0`x`()->etc``OMCONN`121539
dOpenMathDevice`0`x`()->etc``OMDEV`121676
dOpenMathEncoding`0`x`()->Join(SetCategory,etc)``OMENC`121868
dOpenMathErrorKind`0`x`()->Join(SetCategory,etc)``OMERRK`121942
dOpenMathError`0`x`()->Join(SetCategory,etc)``OMERR`122108
dOperator`1`n`(Ring)->Join(Ring,etc)`(R)`OP`122173
dOrdSetInts`0`x`()->Join(OrderedSet,etc)``OSI`122222
dOrderedCompletion`1`x`(SetCategory)->Join(SetCategory,etc)`(R)`ORDCOMP`122481
dOrderedDirectProduct`3`n`(NonNegativeInteger,S:OrderedAbelianMonoidSup,(Vector(S),Vector(S))->Boolean)->DirectProductCategory(dim,S)`(dim,S,f)`ODP`122566
dOrderedExpression`0`n`()->Join(OrderedRing,etc)``OEXPR`0
dOrderedVariableList`1`n`(List(Symbol))->Join(OrderedFinite,etc)`(VariableList)`OVAR`122896
dOrderlyDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,OrderlyDifferentialVariable(Symbol),IndexedExponents(OrderlyDifferentialVariable(Symbol))),etc)`(R)`ODPOL`122943
dOrderlyDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`ODVAR`123249
dOrdinaryDifferentialRing`3`x`(Kernels:SetCategory,R:PartialDifferentialRing(Kernels),Kernels)->Join(BiModule(_$,_$),etc)`(Kernels,R,var)`ODR`123937
dOrdinaryWeightedPolynomials`4`n`(Ring,List(Symbol),List(NonNegativeInteger),NonNegativeInteger)->Join(Ring,etc)`(R,vl,wl,wtlevel)`OWP`124058
dOrientedFacet`0`n`()->Join(FacetCategory,etc)``OFACET`124286
dOutputForm`0`n`()->Join(SetCategory,etc)``OUTFORM`124615
dPAdicInteger`1`n`(Integer)->PAdicIntegerCategory(p)`(p)`PADIC`124877
dPAdicRationalConstructor`2`n`(p:Integer,PADIC:PAdicIntegerCategory(p))->Join(QuotientFieldCategory(PADIC),etc)`(p,PADIC)`PADICRC`125072
dPAdicRational`1`n`(Integer)->Join(QuotientFieldCategory(PAdicInteger(p)),etc)`(p)`PADICRAT`125145
dPalette`0`x`()->Join(SetCategory,etc)``PALETTE`125330
dParametricPlaneCurve`1`x`(Type)->etc`(ComponentFunction)`PARPCURV`125398
dParametricSpaceCurve`1`x`(Type)->etc`(ComponentFunction)`PARSCURV`125491
dParametricSurface`1`x`(Type)->etc`(ComponentFunction)`PARSURF`125582
dPartialDifferentialOperator`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var)`PDO`125666
dPartialFraction`1`x`(EuclideanDomain)->Join(Field,etc)`(R)`PFR`125941
dPartition`0`n`()->Join(OrderedCancellationAbelianMonoid,etc)``PRTITION`126795
dPatternMatchListResult`3`n`(SetCategory,S:SetCategory,L:ListAggregate(S))->Join(SetCategory,etc)`(R,S,L)`PATLRES`127040
dPatternMatchResult`2`n`(SetCategory,S:SetCategory)->Join(SetCategory,etc)`(R,S)`PATRES`127276
dPattern`1`n`(SetCategory)->Join(SetCategory,etc)`(R)`PATTERN`127497
dPendantTree`1`x`(SetCategory)->Join(BinaryRecursiveAggregate(S),etc)`(S)`PENDTREE`127544
dPermutationGroup`1`x`(SetCategory)->Join(SetCategory,etc)`(S)`PERMGRP`127683
dPermutation`1`x`(SetCategory)->Join(PermutationCategory(S),etc)`(S)`PERM`128152
dPi`0`x`()->Join(Field,etc)``HACKPI`128645
dPlaneAlgebraicCurvePlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``ACPLOT`128925
dPlot3D`0`n`()->Join(PlottableSpaceCurveCategory,etc)``PLOT3D`129156
dPlot`0`n`()->Join(PlottablePlaneCurveCategory,etc)``PLOT`129492
dPoincareBirkhoffWittLyndonBasis`1`n`(OrderedSet)->Join(OrderedSet,etc)`(VarSet)`PBWLB`129857
dPoint`1`n`(Ring)->PointCategory(R)`(R)`POINT`130192
dPolynomialIdeal`4`x`(F:Field,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,DPoly:PolynomialCategory(F,Expon,VarSet))->Join(SetCategory,etc)`(F,Expon,VarSet,DPoly)`IDEAL`130248
dPolynomialRing`2`n`(Join(SemiRng,etc),E:OrderedAbelianMonoid)->Join(FiniteAbelianMonoidRing(R,E),etc)`(R,E)`PR`130759
dPolynomial`1`x`(Ring)->Join(PolynomialCategory(R,IndexedExponents(Symbol),Symbol),etc)`(R)`POLY`131123
dPositiveInteger`0`x`()->Join(OrderedAbelianSemiGroup,etc)``PI`131412
dPrimeField`1`x`(PositiveInteger)->Join(FiniteFieldCategory,etc)`(p)`PF`131501
dPrimitiveArray`1`n`(Type)->OneDimensionalArrayAggregate(S)`(S)`PRIMARR`131695
dProductFacet`0`n`()->Join(FacetCategory,etc)``PFACET`131840
dProduct`2`n`(SetCategory,B:SetCategory)->Join(SetCategory,etc)`(A,B)`PRODUCT`132173
dQuadraticForm`2`x`(PositiveInteger,K:Field)->Join(AbelianGroup,etc)`(n,K)`QFORM`132437
dQuasiAlgebraicSet`4`n`(R:GcdDomain,Var:OrderedSet,Expon:OrderedAbelianMonoidSup,Dpoly:PolynomialCategory(R,Expon,Var))->Join(SetCategory,etc)`(R,Var,Expon,Dpoly)`QALGSET`132500
dQuaternion`1`x`(CommutativeRing)->QuaternionCategory(R)`(R)`QUAT`134219
dQueryEquation`0`x`()->Join(CoercibleTo(OutputForm),etc)``QEQUAT`134318
dQueue`1`x`(SetCategory)->Join(QueueAggregate(S),etc)`(S)`QUEUE`134371
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`134415
dRadixExpansion`1`x`(Integer)->Join(QuotientFieldCategory(Integer),etc)`(bb)`RADIX`134480
dRealClosure`1`x`(Join(OrderedRing,etc))->Join(RealClosedField,etc)`(TheField)`RECLOS`134625
dRecord`1`x`special`(a:A,b:B,...,c:C)`RECORD`134692
dRectangularMatrix`3`n`(NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc))->Join(RectangularMatrixCategory(m,n,R,DirectProduct(n,R),DirectProduct(m,R)),etc)`(m,n,R)`RMATRIX`134929
dReference`1`n`(Type)->Join(Type,etc)`(S)`REF`135064
dRegularChain`2`x`(GcdDomain,ls:List(Symbol))->Join(RegularTriangularSetCategory(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),etc)`(R,ls)`RGCHAIN`135155
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`135377
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`135630
dResult`0`n`()->Join(TableAggregate(Symbol,Any),etc)``RESULT`135832
dRewriteRule`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULE`136028
dRightOpenIntervalRootCharacterization`2`x`(TheField:Join(OrderedRing,etc),ThePolDom:UnivariatePolynomialCategory(TheField))->Join(RealRootCharacterizationCategory(TheField,ThePolDom),etc)`(TheField,ThePolDom)`ROIRC`136168
dRomanNumeral`0`x`()->Join(IntegerNumberSystem,etc)``ROMAN`136264
dRuleCalled`1`n`(Symbol)->Join(SetCategory,etc)`(f)`RULECOLD`136370
dRuleset`3`x`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->Join(SetCategory,etc)`(Base,R,F)`RULESET`136411
dSArgand`0`n`()->Join(SPointCategory,etc)``SARGND`136480
dSBoundary`1`n`(SPointCategory)->etc`(PT)`SBOUND`136617
dSCartesian`1`n`(PositiveInteger)->SPointCategory`(n)`SCRT`138256
dSConformal`1`n`(PositiveInteger)->Join(SPointCategory,etc)`(n)`SCONF`138367
dSExpressionOf`4`n`(SetCategory,Sym:SetCategory,Int:SetCategory,Flt:SetCategory)->SExpressionCategory(Str,Sym,Int,Flt)`(Str,Sym,Int,Flt)`SEXOF`138463
dSExpression`0`n`()->SExpressionCategory(String,Symbol,Integer,DoubleFloat)``SEX`138549
dSKICombinators`1`n`(VarCat)->Join(SetCategory,etc)`(UT)`SKICOMB`138617
dSTransform`1`n`(SPointCategory)->etc`(PT)`STR`138673
dSceneIFS`1`n`(SPointCategory)->etc`(PT)`SCIFS`138996
dSceneNamedPoints`1`n`(SPointCategory)->Join(SetCategory,etc)`(PT)`SCNP`139348
dScene`1`n`(SPointCategory)->etc`(PT)`SCENE`139556
dScriptFormulaFormat`0`x`()->Join(SetCategory,etc)``FORMULA`139644
dSegmentBinding`1`x`(Type)->Join(Type,etc)`(S)`SEGBIND`140345
dSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`SEG`140500
dSequence`1`x`(CommutativeRing)->SequenceCategory(R)`(R)`SEQU`140573
dSequentialDifferentialPolynomial`1`n`(Ring)->Join(DifferentialPolynomialCategory(R,Symbol,SequentialDifferentialVariable(Symbol),IndexedExponents(SequentialDifferentialVariable(Symbol))),etc)`(R)`SDPOL`140682
dSequentialDifferentialVariable`1`n`(OrderedSet)->DifferentialVariableCategory(S)`(S)`SDVAR`140939
dSetOfMIntegersInOneToN`2`n`(PositiveInteger,PositiveInteger)->Join(Finite,etc)`(m,n)`SETMN`141614
dSet`1`x`(SetCategory)->FiniteSetAggregate(S)`(S)`SET`141728
dSimpleAlgebraicExtension`3`n`(R:CommutativeRing,UP:UnivariatePolynomialCategory(R),UP)->Join(MonogenicAlgebra(R,UP),etc)`(R,UP,M)`SAE`142822
dSimpleCell`2`n`(TheField:RealClosedField,ThePols:UnivariatePolynomialCategory(TheField))->Join(CoercibleTo(OutputForm),etc)`(TheField,ThePols)`SCELL`0
dSimpleFortranProgram`2`n`(R:OrderedSet,FS:FunctionSpace(R))->Join(FortranProgramCategory,etc)`(R,FS)`SFORT`143401
dSingleInteger`0`x`()->Join(IntegerNumberSystem,etc)``SINT`143647
dSingletonAsOrderedSet`0`n`()->Join(OrderedSet,etc)``SAOS`143718
dSmallOrdinal`0`n`()->Join(OrderedAbelianMonoid,etc)``SORD`143820
dSortedExponentVector`0`n`()->OneDimensionalArrayAggregate(Integer)``SOREXPV`144015
dSparseEchelonMatrix`2`n`(OrderedSet,D:Ring)->Join(CoercibleTo(OutputForm),etc)`(C,D)`SEM`144121
dSparseMultivariatePolynomialExpressions`1`n`(Ring)->Join(PolynomialCategory(R,IndexedExponents(NonNegativeInteger),NonNegativeInteger),etc)`(R)`SMPEXPR`0
dSparseMultivariatePolynomial`2`n`(Join(SemiRng,etc),VarSet:OrderedSet)->PolynomialCategory(R,IndexedExponents(VarSet),VarSet)`(R,VarSet)`SMP`144530
dSparseMultivariateSkewPolynomial`4`n`(R:Ring,Var:OrderedSet,(Var)->Automorphism(R),(Var)->(R)->R)->Join(MultivariateSkewPolynomialCategory(R,IndexedExponents(Var),Var),etc)`(R,Var,sigma,delta)`SKSMP`144878
dSparseMultivariateTaylorSeries`3`n`(Coef:Ring,Var:OrderedSet,SMP:PolynomialCategory(Coef,IndexedExponents(Var),Var))->Join(MultivariateTaylorSeriesCategory(Coef,Var),etc)`(Coef,Var,SMP)`SMTS`145170
dSparseTable`3`n`(SetCategory,Ent:BasicType,Ent)->TableAggregate(Key,Ent)`(Key,Ent,dent)`STBL`145462
dSparseUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,SparseUnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SULS`145580
dSparseUnivariatePolynomial`1`n`(Join(SemiRng,etc))->Join(UnivariatePolynomialCategory(R),etc)`(R)`SUP`146146
dSparseUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,SparseUnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`SUPXS`146520
dSparseUnivariateSkewPolynomial`3`n`(R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(R,sigma,delta)`ORESUP`147097
dSparseUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`SUTS`147259
dSplitHomogeneousDirectProduct`3`n`(NonNegativeInteger,NonNegativeInteger,S:OrderedAbelianMonoidSup)->DirectProductCategory(dimtot,S)`(dimtot,dim1,S)`SHDP`147842
dSplittingNode`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(SetCategory,etc)`(V,C)`SPLNODE`148316
dSplittingTree`2`n`(Join(SetCategory,etc),C:Join(SetCategory,etc))->Join(RecursiveAggregate(SplittingNode(V,C)),etc)`(V,C)`SPLTREE`148939
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`149929
dSquareMatrix`2`n`(NonNegativeInteger,R:Join(SemiRng,etc))->Join(SquareMatrixCategory(ndim,R,DirectProduct(ndim,R),DirectProduct(ndim,R)),etc)`(ndim,R)`SQMATRIX`150204
dStack`1`x`(SetCategory)->Join(StackAggregate(S),etc)`(S)`STACK`150350
dStream`1`x`(Type)->Join(LazyStreamAggregate(S),etc)`(S)`STREAM`150394
dStringTable`1`n`(Type)->Join(TableAggregate(String,Entry),etc)`(Entry)`STRTBL`150572
dString`0`x`()->Join(StringCategory,etc)``STRING`150683
dSubSpaceComponentProperty`0`n`()->Join(SetCategory,etc)``COMPPROP`150730
dSubSpace`2`n`(PositiveInteger,R:Ring)->Join(SetCategory,etc)`(n,R)`SUBSPACE`150796
dSubsetLattice`2`n`(S:SetCategory,List(S))->Join(Lattice,etc)`(S,top)`SETLAT`150828
dSuchThat`2`n`(SetCategory,S2:SetCategory)->Join(SetCategory,etc)`(S1,S2)`SUCH`151086
dSwitch`0`n`()->Join(CoercibleTo(OutputForm),etc)``SWITCH`151133
dSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMTAB`151245
dSymbol`0`x`()->Join(OrderedSet,etc)``SYMBOL`151315
dSymmetricPolynomial`1`n`(Ring)->Join(FiniteAbelianMonoidRing(R,Partition),etc)`(R)`SYMPOLY`151349
dTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`TABLE`151399
dTableau`1`x`(SetCategory)->Join(CoercibleTo(OutputForm),etc)`(S)`TABLEAU`151623
dTaylorSeriesExpansionGeneralized`4`n`(Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,UPS:Join(UnivariatePowerSeriesCategory(Coef,Expon),etc),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,Expon,SingletonAsOrderedSet,UPS,UTS)`(Coef,Expon,UPS,UTS)`TSEREXPG`0
dTaylorSeriesExpansionLaurent`3`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS))->TaylorSeriesExpansion(Coef,Integer,SingletonAsOrderedSet,ULS,UTS)`(Coef,UTS,ULS)`TSEREXPL`0
dTaylorSeriesExpansionPuiseux`4`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef),ULS:UnivariateLaurentSeriesConstructorCategory(Coef,UTS),UPS:UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS))->TaylorSeriesExpansion(Coef,Fraction(Integer),SingletonAsOrderedSet,UPS,UTS)`(Coef,UTS,ULS,UPS)`TSEREXPP`0
dTaylorSeriesExpansionTaylor`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->TaylorSeriesExpansion(Coef,NonNegativeInteger,SingletonAsOrderedSet,UTS,UTS)`(Coef,UTS)`TSEREXPT`0
dTaylorSeries`1`x`(Ring)->Join(MultivariateTaylorSeriesCategory(Coef,Symbol),etc)`(Coef)`TS`151766
dTensorPower`4`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M:FreeModuleCategory(R,B))->Join(TensorPowerCategory(n,R,M),etc)`(n,R,B,M)`TENSPOW`151897
dTensorProduct`5`n`(R:CommutativeRing,B1:OrderedSet,B2:OrderedSet,M1:FreeModuleCategory(R,B1),M2:FreeModuleCategory(R,B2))->Join(TensorProductCategory(R,M1,M2),etc)`(R,B1,B2,M1,M2)`TENSOR`152033
dTexFormat`0`x`()->Join(SetCategory,etc)``TEX`152299
dTexmacsFormat`0`x`()->Join(SetCategory,etc)``TMFORM`153051
dTextFile`0`x`()->Join(FileCategory(FileName,String),etc)``TEXTFILE`153148
dTheSymbolTable`0`n`()->Join(CoercibleTo(OutputForm),etc)``SYMS`153286
dThreeDimensionalMatrix`1`n`(SetCategory)->Join(HomogeneousAggregate(R),etc)`(R)`M3D`153436
dThreeDimensionalViewport`0`x`()->Join(SetCategory,etc)``VIEW3D`153519
dThreeSpace`1`x`(Ring)->ThreeSpaceCategory(R)`(R)`SPACE3`153586
dTree`1`x`(SetCategory)->Join(RecursiveAggregate(S),etc)`(S)`TREE`153768
dTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`TUBE`153925
dTuple`1`n`(Type)->Join(CoercibleTo(PrimitiveArray(S)),etc)`(S)`TUPLE`154072
dTwoDimensionalArray`1`n`(Type)->TwoDimensionalArrayCategory(R,OneDimensionalArray(R),OneDimensionalArray(R))`(R)`ARRAY2`154202
dTwoDimensionalViewport`0`n`()->Join(SetCategory,etc)``VIEW2D`154320
dTyped`0`n`()->Join(VarCat,etc)``TYPED`154386
dU16Matrix`0`n`()->MatrixCategory(Integer,U16Vector,U16Vector)``U16MAT`154444
dU16Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U16VEC`154632
dU32Matrix`0`n`()->MatrixCategory(Integer,U32Vector,U32Vector)``U32MAT`154827
dU32Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U32VEC`155015
dU8Matrix`0`n`()->MatrixCategory(Integer,U8Vector,U8Vector)``U8MAT`155210
dU8Vector`0`n`()->OneDimensionalArrayAggregate(Integer)``U8VEC`155397
dUndirectedGraph`1`n`(SetCategory)->Join(FiniteGraph(S),etc)`(S)`UDGRPH`155591
dUnion`1`x`special`(A,B,...,C)`UNION`155640
dUnivariateFormalPowerSeries`1`n`(Ring)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef)`UFPS`0
dUnivariateLaurentSeriesConstructor`2`n`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->UnivariateLaurentSeriesConstructorCategory(Coef,UTS)`(Coef,UTS)`ULSCONS`155789
dUnivariateLaurentSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariateLaurentSeriesConstructorCategory(Coef,UnivariateTaylorSeries(Coef,var,cen)),etc)`(Coef,var,cen)`ULS`156116
dUnivariatePolynomial`2`x`(Symbol,R:Ring)->Join(UnivariatePolynomialCategory(R),etc)`(x,R)`UP`156669
dUnivariatePuiseuxSeriesConstructor`2`n`(Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)`(Coef,ULS)`UPXSCONS`156884
dUnivariatePuiseuxSeriesWithExponentialSingularity`4`n`(R:Join(Comparable,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`157215
dUnivariatePuiseuxSeries`3`n`(Coef:Ring,var:Symbol,cen:Coef)->Join(UnivariatePuiseuxSeriesConstructorCategory(Coef,UnivariateLaurentSeries(Coef,var,cen)),etc)`(Coef,var,cen)`UPXS`157744
dUnivariateSkewPolynomial`4`n`(Symbol,R:Ring,Automorphism(R),(R)->R)->Join(UnivariateSkewPolynomialCategory(R),etc)`(x,R,sigma,delta)`OREUP`158308
dUnivariateTaylorSeries`3`n`(Coef:Ring,var:Symbol,Coef)->Join(UnivariateTaylorSeriesCategory(Coef),etc)`(Coef,var,cen)`UTS`158483
dUniversalSegment`1`x`(Type)->Join(SegmentCategory(S),etc)`(S)`UNISEG`158953
dUntyped`0`n`()->Join(VarCat,etc)``UNTYPED`159070
dVariable`1`n`(Symbol)->Join(SetCategory,etc)`(sym)`VARIABLE`159660
dVectorIntegerReconstructor`0`n`()->etc``VECREC2`159699
dVectorModularReconstructor`0`n`()->etc``VECREC1`160111
dVectorSpaceBasis`1`n`(Field)->Join(BasicType,etc)`(R)`VSBASIS`160665
dVector`1`x`(Type)->Join(VectorCategory(R),etc)`(R)`VECTOR`160945
dVoid`0`x`()->etc``VOID`161072
dWeightedGraph`2`n`(SetCategory,W:OrderedAbelianMonoid)->Join(FiniteGraph(S),etc)`(S,W)`WGRPH`161296
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`161816
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`162078
dXDistributedPolynomial`2`n`(OrderedSet,R:Ring)->Join(FreeModuleCategory(R,FreeMonoid(vl)),etc)`(vl,R)`XDPOLY`162786
dXHashTable`2`n`(SetCategory,Entry:Type)->Join(TableAggregate(Key,Entry),etc)`(Key,Entry)`XHASHTBL`162990
dXPBWPolynomial`2`n`(OrderedSet,R:CommutativeRing)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XPBWPOLY`163100
dXPolynomialRing`2`n`(Ring,E:OrderedMonoid)->Join(Ring,etc)`(R,E)`XPR`163384
dXPolynomial`1`n`(Ring)->Join(XPolynomialsCat(Symbol,R),etc)`(R)`XPOLY`163685
dXRecursivePolynomial`2`n`(OrderedSet,R:Ring)->Join(XPolynomialsCat(VarSet,R),etc)`(VarSet,R)`XRPOLY`163952
dXmlAttribute`0`n`()->etc``XMLAT`164162
dXmlElement`0`n`()->etc``XMLEL`164328
o#`1`n`(A)->NonNegativeInteger`xBinaryRecursiveAggregate&(A,S)``0
o#`1`n`(A)->NonNegativeInteger`xBinaryTreeCategory&(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`(_$)->NonNegativeInteger`dTuple(S)``164581
o#`1`n`(_$)->NonNegativeInteger`dXPolynomialRing(R,E)``164649
o#`1`x`(_$)->Integer`cSExpressionCategory(Str,Sym,Int,Flt)``164708
o#`1`x`(_$)->NonNegativeInteger`cAggregate`has(_$,finiteAggregate)`164761
o*`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``164820
o*`2`n`(Coef,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Coef,_$)->_$`dInnerTaylorSeries(Coef)``164968
o*`2`n`(D,_$)->_$`dJetLazyFunction(JB,D)``165042
o*`2`n`(DoubleFloat,Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``165185
o*`2`n`(DoubleFloat,_$)->_$`cSPointCategory``165371
o*`2`n`(Fraction(Integer),S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Fraction(Integer),S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xDivisionRing&(S)``0
o*`2`n`(Fraction(Integer),S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Fraction(Integer),S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Fraction(Integer),S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xAbelianGroup&(S)``0
o*`2`n`(Integer,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(Integer,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xDivisionRing&(S)``0
o*`2`n`(Integer,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(Integer,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(Integer,S)->S`xModule&(S,R)``0
o*`2`n`(Integer,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(Integer,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(Integer,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(Matrix(D),_$)->_$`dSparseEchelonMatrix(C,D)``165703
o*`2`n`(Matrix(Fraction(D)),_$)->_$`dSparseEchelonMatrix(C,D)`has(D,IntegralDomain)`165772
o*`2`n`(NonNegativeInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(NonNegativeInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(NonNegativeInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xModule&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(NonNegativeInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(NonNegativeInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(P,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``165877
o*`2`n`(Permutation(Integer),_$)->_$`dIncidenceAlgebra(R,S)``165908
o*`2`n`(PositiveInteger,S)->S`xAbelianGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoid&(S)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(PositiveInteger,S)->S`xAbelianSemiGroup&(S)``0
o*`2`n`(PositiveInteger,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xDivisionRing&(S)``0
o*`2`n`(PositiveInteger,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xModule&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(PositiveInteger,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(PositiveInteger,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(R,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(R,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(R,S)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(R,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(R,S)->S`xModule&(S,R)``0
o*`2`n`(R,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(R,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(R,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(R,S)->S`xVectorCategory&(S,R)``0
o*`2`n`(R,_$)->_$`dIncidenceAlgebra(R,S)``166006
o*`2`n`(Row,S)->Row`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Col)->Col`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,Fraction(Integer))->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,Fraction(Integer))->S`xComplexCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xDivisionRing&(S)``0
o*`2`n`(S,Fraction(Integer))->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,Fraction(Integer))->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,Fraction(Integer))->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,R)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,R)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,R)->S`xGradedAlgebra&(S,R,E)``0
o*`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,R)->S`xModule&(S,R)``0
o*`2`n`(S,R)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,R)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,R)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,R)->S`xVectorCategory&(S,R)``0
o*`2`n`(S,S)->S`xAbelianMonoidRing&(S,R,E)``0
o*`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o*`2`n`(S,S)->S`xDivisionRing&(S)``0
o*`2`n`(S,S)->S`xFunctionSpace&(S,R)``0
o*`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o*`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o*`2`n`(S,S)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o*`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o*`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
o*`2`n`(S,_$)->_$`dFreeGroup(S)``166099
o*`2`n`(S,_$)->_$`dFreeMonoid(S)``166175
o*`2`n`(SMP,_$)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``166251
o*`2`n`(Stream(A),A)->Stream(A)`pStreamTaylorSeriesOperations(A)``166323
o*`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``166471
o*`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``166675
o*`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``166898
o*`2`n`(_$,Coef)->_$`dInnerTaylorSeries(Coef)``166962
o*`2`n`(_$,Integer)->_$`dInnerTaylorSeries(Coef)``167036
o*`2`n`(_$,R)->_$`dIncidenceAlgebra(R,S)``167118
o*`2`n`(_$,R)->_$`dXPolynomialRing(R,E)``167211
o*`2`n`(_$,S)->_$`dFreeGroup(S)``167273
o*`2`n`(_$,S)->_$`dFreeMonoid(S)``167350
o*`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``167427
o*`2`n`(_$,_$)->FunctionGraph(Product(S,S))`dFunctionGraph(S)``167860
o*`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``168352
o*`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``168750
o*`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``169148
o*`2`n`(_$,_$)->_$`dFreeMagma(VarSet)``169546
o*`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``169597
o*`2`n`(_$,_$)->_$`dInputForm``169713
o*`2`n`(_$,_$)->_$`dOutputForm``169786
o*`2`n`(_$,_$)->_$`dPattern(R)``169840
o*`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``169893
o*`2`x`((B)->C,(A)->B)->(A)->C`pMappingPackage3(A,B,C)``169967
o*`2`x`(DoubleFloat,_$)->_$`dColor``170053
o*`2`x`(E,S)->_$`cFreeAbelianMonoidCategory(S,E)``170155
o*`2`x`(Integer,_$)->_$`cAbelianGroup``170207
o*`2`x`(Integer,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`170276
o*`2`x`(Integer,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`170319
o*`2`x`(NonNegativeInteger,_$)->_$`cAbelianMonoid``170412
o*`2`x`(PositiveInteger,_$)->_$`cAbelianSemiGroup``170480
o*`2`x`(PositiveInteger,_$)->_$`dColor``170640
o*`2`x`(R,S)->_$`cFreeModuleCategory(R,S)``170742
o*`2`x`(R,_$)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`170804
o*`2`x`(R,_$)->_$`cGradedModule(R,E)``170900
o*`2`x`(R,_$)->_$`cLeftModule(R)``170948
o*`2`x`(R,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`171058
o*`2`x`(R,_$)->_$`cVectorCategory(R)`has(R,SemiGroup)`171151
o*`2`x`(Row,_$)->Row`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`171247
o*`2`x`(Row,_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``171376
o*`2`x`(S,R)->_$`cFreeModuleCategory(R,S)``171505
o*`2`x`(S,_$)->_$`dEquation(S)`has(S,SemiGroup)`171593
o*`2`x`(_$,Col)->Col`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`171691
o*`2`x`(_$,Col)->Col`cSquareMatrixCategory(ndim,R,Row,Col)``171823
o*`2`x`(_$,Point(R))->Point(R)`dDenavitHartenbergMatrix(R)``171955
o*`2`x`(_$,R)->_$`cDirectProductCategory(dim,R)`has(R,SemiGroup)`172020
o*`2`x`(_$,R)->_$`cGradedModule(R,E)``172113
o*`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172162
o*`2`x`(_$,R)->_$`cRightModule(R)``172258
o*`2`x`(_$,R)->_$`cVectorCategory(R)`has(R,SemiGroup)`172369
o*`2`x`(_$,R)->_$`cXFreeAlgebra(vl,R)``172462
o*`2`x`(_$,S)->_$`dEquation(S)`has(S,SemiGroup)`172573
o*`2`x`(_$,_$)->_$`cMagma``172671
o*`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`172762
o*`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``172878
o*`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``173286
o*`2`x`(vl,_$)->_$`cXFreeAlgebra(vl,R)``173360
o+`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``173435
o+`2`n`(S,S)->S`xComplexCategory&(S,R)``0
o+`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
o+`2`n`(S,S)->S`xOctonionCategory&(S,R)``0
o+`2`n`(S,S)->S`xQuaternionCategory&(S,R)``0
o+`2`n`(S,S)->S`xVectorCategory&(S,R)``0
o+`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``173688
o+`2`n`(_$,_$)->_$`cFiniteGraph(S)``173834
o+`2`n`(_$,_$)->_$`cSPointCategory``173905
o+`2`n`(_$,_$)->_$`dIncidenceAlgebra(R,S)``174486
o+`2`n`(_$,_$)->_$`dInputForm``174598
o+`2`n`(_$,_$)->_$`dOutputForm``174671
o+`2`n`(_$,_$)->_$`dPattern(R)``174725
o+`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``174778
o+`2`x`(S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``174843
o+`2`x`(S,_$)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`174904
o+`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianSemiGroup)`174961
o+`2`x`(UP,_$)->_$`dFullPartialFractionExpansion(F,UP)``175054
o+`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianSemiGroup)`175114
o+`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianSemiGroup)`175178
o+`2`x`(_$,_$)->_$`cAbelianSemiGroup``175271
o+`2`x`(_$,_$)->_$`cGradedModule(R,E)``175331
o+`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``175511
o+`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianSemiGroup)`175623
o+`2`x`(_$,_$)->_$`dColor``175771
o+`2`x`(_$,_$)->_$`dDatabase(S)``175849
o+`2`x`(_$,_$)->_$`dOrderedCompletion(R)`has(R,AbelianMonoid)`0
o+`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``175927
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)``176012
o-`1`n`(_$)->_$`dOutputForm``176127
o-`1`x`(_$)->_$`cAbelianGroup``176180
o-`1`x`(_$)->_$`cGradedModule(R,E)``176233
o-`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`176342
o-`1`x`(_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`176403
o-`1`x`(_$)->_$`dOrderedCompletion(R)`has(R,AbelianGroup)`0
o-`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``176466
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)``176722
o-`2`n`(_$,_$)->_$`cSPointCategory``176875
o-`2`n`(_$,_$)->_$`dOutputForm``177346
o-`2`x`(S,_$)->_$`dEquation(S)`has(S,AbelianGroup)`177400
o-`2`x`(_$,S)->_$`cSegmentCategory(S)`has(S,AbelianGroup)`177500
o-`2`x`(_$,S)->_$`dEquation(S)`has(S,AbelianGroup)`177564
o-`2`x`(_$,_$)->Union(_$,"failed")`dCardinalNumber``177664
o-`2`x`(_$,_$)->_$`cAbelianGroup``177773
o-`2`x`(_$,_$)->_$`cGradedModule(R,E)``177868
o-`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`178055
o-`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,AbelianGroup)`178174
o-`2`x`(_$,_$)->_$`dDatabase(S)``178329
o/\`2`n`(S,S)->S`xBitAggregate&(S)``0
o/\`2`n`(_$,_$)->_$`cMeetSemilattice``178489
o/\`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``178550
o/\`2`x`(_$,_$)->_$`dSingleInteger``178658
o/`2`n`(A,R)->_$`dLocalAlgebra(A,R)``178779
o/`2`n`(A,S)->A`xVectorSpace&(A,S)``0
o/`2`n`(M,R)->_$`dLocalize(M,R)``178840
o/`2`n`(S,Coef)->S`xPowerSeriesCategory&(S,Coef,Expon,Var)``0
o/`2`n`(S,R)->S`xDirectProductCategory&(S,dim,R)``0
o/`2`n`(S,R)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
o/`2`n`(S,R)->S`xLieAlgebra&(S,R)``0
o/`2`n`(S,R)->S`xMatrixCategory&(S,R,Row,Col)``0
o/`2`n`(S,S)->S`xField&(S)``0
o/`2`n`(S,S)->S`xGroup&(S)``0
o/`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``178901
o/`2`n`(Vector(GF),Vector(GF))->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``179090
o/`2`n`(_$,R)->_$`dLocalAlgebra(A,R)``179150
o/`2`n`(_$,R)->_$`dLocalize(M,R)``179211
o/`2`n`(_$,R)->_$`dXPolynomialRing(R,E)`has(R,Field)`179272
o/`2`n`(_$,_$)->Union(_$,"failed")`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)`has(R,Field)`179313
o/`2`n`(_$,_$)->Union(_$,"failed")`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)`has(R,Field)`179419
o/`2`n`(_$,_$)->_$`dInputForm``179525
o/`2`n`(_$,_$)->_$`dOutputForm``179598
o/`2`n`(_$,_$)->_$`dPattern(R)``179652
o/`2`x`(S,S)->_$`cQuotientFieldCategory(S)``179705
o/`2`x`(SparseMultivariatePolynomial(R,Kernel(_$)),SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`179779
o/`2`x`(_$,Integer)->_$`dDoubleFloat``179867
o/`2`x`(_$,Integer)->_$`dFloat``179946
o/`2`x`(_$,R)->_$`cAbelianMonoidRing(R,E)`has(R,Field)`180025
o/`2`x`(_$,R)->_$`cLieAlgebra(R)`has(R,Field)`180088
o/`2`x`(_$,R)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`180151
o/`2`x`(_$,R)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,Field)`180238
o/`2`x`(_$,S)->_$`cVectorSpace(S)``180325
o/`2`x`(_$,_$)->_$`cField``180394
o/`2`x`(_$,_$)->_$`cGroup``180490
o/`2`x`(_$,_$)->_$`dEquation(S)`has(S,Field)`180562
o0`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o0`0`n`()->_$`cDistributionCategory(R)``0
o0`0`n`()->_$`dInputForm``0
o0`0`n`()->_$`dPattern(R)``0
o0`0`n`()->_$`dVectorSpaceBasis(R)``0
o0`0`x`()->_$`cAbelianMonoid``0
o0`0`x`()->_$`cGradedModule(R,E)``0
o1`0`n`()->S`xGradedAlgebra&(S,R,E)``0
o1`0`n`()->_$`cJetBundleCategory``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`()->_$`cMagmaWithUnit``0
o<=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o<=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o<=`2`n`(_$,_$)->_$`dOutputForm``180685
o<=`2`x`(_$,_$)->Boolean`cPartialOrder``180740
o<=`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``180790
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`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`xJetBundleCategory&(S)``0
o<`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o<`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o<`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o<`2`n`(_$,_$)->_$`dOutputForm``181000
o<`2`x`(_$,_$)->Boolean`cPartialOrder``181054
o<`2`x`(_$,_$)->Boolean`cPermutationCategory(S)``181094
o<`2`x`(_$,_$)->Boolean`dPermutationGroup(S)``181248
o=`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xDictionary&(A,S)``0
o=`2`n`(A,A)->Boolean`xDifferentialVariableCategory&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o=`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xHomogeneousAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
o=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o=`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
o=`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o=`2`n`(S,S)->Boolean`xOctonionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
o=`2`n`(S,S)->Boolean`xQuaternionCategory&(S,R)``0
o=`2`n`(S,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
o=`2`n`(S,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
o=`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
o=`2`n`(_$,_$)->Boolean`cVarCat``181351
o=`2`n`(_$,_$)->Boolean`dFortranScalarType``181464
o=`2`n`(_$,_$)->Boolean`dILogic``181500
o=`2`n`(_$,_$)->Boolean`dLambda(UT)``181646
o=`2`n`(_$,_$)->Boolean`dLatticeJoinOfMeets``181939
o=`2`n`(_$,_$)->Boolean`dLatticeMeetOfJoins``182085
o=`2`n`(_$,_$)->Boolean`dReference(S)``182231
o=`2`n`(_$,_$)->Boolean`dSKICombinators(UT)``182290
o=`2`n`(_$,_$)->_$`dOutputForm``182559
o=`2`x`(S,S)->_$`dEquation(S)``182613
o=`2`x`(_$,_$)->Boolean`cBasicType``182651
o>=`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>=`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>=`2`n`(_$,_$)->_$`dOutputForm``182712
o>=`2`x`(_$,_$)->Boolean`cPartialOrder``182767
o>`2`n`(S,S)->Boolean`xJetBundleCategory&(S)``0
o>`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
o>`2`n`(S,S)->Boolean`xPartialOrder&(S)``0
o>`2`n`(_$,_$)->Boolean`cJetBundleCategory``182820
o>`2`n`(_$,_$)->_$`dOutputForm``182922
o>`2`x`(_$,_$)->Boolean`cPartialOrder``182976
oAND`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``183019
oAleph`1`x`(NonNegativeInteger)->_$`dCardinalNumber``183114
oAn`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``183183
oAnd`2`n`(_$,_$)->_$`dIndexedBits(mn)``183216
oAnd`2`x`(_$,_$)->_$`dSingleInteger``183308
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)``183420
oBY`2`x`(_$,Integer)->_$`cSegmentCategory(S)``184020
oBasicMethod`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``184118
oBeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``184210
oBeta`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``184295
oBeta`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``184335
oBeta`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``184608
oBeta`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``184662
oBeta`2`x`(Float,Float)->Float`pFloatSpecialFunctions``184935
oBeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``184989
oBumInSepFFE`1`n`(Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer))->Record(flg:Union("nil","sqfr","irred","prime"),fctr:P,xpnt:Integer)`pUnivariatePolynomialSquareFree(RC,P)``185057
oChi`1`n`(F)->F`pLiouvillianFunction(R,F)``185171
oChi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``185230
oChi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oChi`1`x`(Float)->Float`pFloatLiouvilianFunctions``185289
oChi`1`x`(_$)->_$`cLiouvillianFunctionCategory``185348
oCi`1`n`(F)->F`pLiouvillianFunction(R,F)``185479
oCi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``185533
oCi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oCi`1`x`(Float)->Float`pFloatLiouvilianFunctions``185587
oCi`1`x`(_$)->_$`cLiouvillianFunctionCategory``185641
oD`0`n`()->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oD`0`x`()->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``185766
oD`1`n`(S)->S`xDifferentialExtension&(S,R)``0
oD`1`n`(S)->S`xDifferentialRing&(S)``0
oD`1`n`(Var)->_$`dPartialDifferentialOperator(R,Var)``185857
oD`1`n`(Var)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)``185962
oD`1`x`(_$)->_$`cDifferentialRing``186063
oD`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``186206
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`n`(Symbol,List(Symbol))->_$`dJetBundle(IVar,DVar)``186260
oD`2`n`(Symbol,List(Symbol))->_$`dJetBundleSymAna(JB1,xi,eta)``186390
oD`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``186439
oD`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``186534
oD`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``186664
oD`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``186735
oD`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``186806
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)``186899
oD`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``187028
oD`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``187193
oDelta`1`n`(Symbol)->_$`dSparseMultivariateSkewPolynomial(R,Var,sigma,delta)`has(Var,SIGNATURE(variable,Var(Symbol)))`187341
oDiffAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``187446
oDiffC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``187669
oEQ`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``187983
oEXPRR2F`1`n`(Expression(Integer))->F`pGuessFiniteFunctions(F)``0
oEXPRR2F`1`n`(Expression(Integer))->Fraction(Polynomial(R))`pGuessPolynomialFunctions(R)``0
oEi`1`n`(F)->F`pLiouvillianFunction(R,F)``188075
oEi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``188134
oEi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oEi`1`x`(Float)->Float`pFloatLiouvilianFunctions``188193
oEi`1`x`(_$)->_$`cLiouvillianFunctionCategory``188252
oF2EXPRR`1`n`(F)->Expression(Integer)`pGuessFiniteFunctions(F)``0
oF2EXPRR`1`n`(Fraction(Polynomial(R)))->Expression(Integer)`pGuessPolynomialFunctions(R)``0
oF2FG`1`n`(F)->FG`pInnerTrigonometricManipulations(R,F,FG)``188380
oFG2F`1`n`(FG)->F`pInnerTrigonometricManipulations(R,F,FG)``188438
oF`2`n`(NonNegativeInteger,NonNegativeInteger)->()->Float`pRandomFloatDistributions``188496
oFormatArabic`1`n`(PositiveInteger)->String`pNumberFormats``188533
oFormatRoman`1`n`(PositiveInteger)->String`pNumberFormats``188619
oFrobenius`1`n`(ExtP)->ExtP`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``188702
oFrobenius`1`n`(S)->S`xExtensionField&(S,F)``0
oFrobenius`1`x`(_$)->_$`cExtensionField(F)`has(F,Finite)`188742
oFrobenius`2`n`(S,NonNegativeInteger)->S`xExtensionField&(S,F)``0
oFrobenius`2`x`(_$,NonNegativeInteger)->_$`cExtensionField(F)`has(F,Finite)`188829
oGE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``188923
oGF2FG`1`n`(Complex(F))->FG`pInnerTrigonometricManipulations(R,F,FG)``189014
oGT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``189145
oGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``189235
oGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``189311
oGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``189473
oGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``189524
oGamma`1`x`(Float)->Float`pFloatSpecialFunctions``189686
oGamma`1`x`(_$)->_$`cSpecialFunctionCategory``189737
oGamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``189788
oGamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``189879
oGospersMethod`3`n`(Q,V,()->V)->Union(Q,"failed")`pGosperSummationMethod(E,V,R,P,Q)``189940
oHP_solve_A`6`n`(List(List(AlgebraicNumber)),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(AlgebraicNumber)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(AlgebraicNumber)),Boolean)`pModularHermitePade``190506
oHP_solve_I`6`n`(List(List(Fraction(Integer))),List(Integer),Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``190548
oHP_solve_M`7`n`(List(List(Integer)),List(Integer),Symbol,Integer,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Integer)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Integer)),Boolean)`pModularHermitePade``190589
oHP_solve_PA`7`n`(List(List(Fraction(Polynomial(AlgebraicNumber)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(AlgebraicNumber))),Boolean)`pModularHermitePade``190668
oHP_solve_P`7`n`(List(List(Fraction(Polynomial(Integer)))),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(Polynomial(Integer))))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(Polynomial(Integer))),Boolean)`pModularHermitePade``190734
oHP_solve`7`n`(List(List(F)),List(Integer),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector),(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"))->Union(Matrix(SparseUnivariatePolynomial(S)),Boolean)`pModularHermitePadeSolver(F,S)``190786
oHankelMatrix`1`n`(List(R))->Matrix(R)`pHankelPackage(R)``191200
oHausdorff`3`n`(XPOLY,XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``191391
oHenselLift`4`n`(TP,List(TP),RP,PositiveInteger)->Record(plist:List(TP),modulo:RP)`pGeneralHenselPackage(RP,TP)``191490
oHermiteIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``191696
oHermiteIntegrate`2`n`(R,(UP)->UP)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``192128
oHermiteIntegrate`3`n`(Fraction(UP),(UP)->UP,UP)->Record(answer:Fraction(UP),logpart:Fraction(UP),specpart:Fraction(UP),polypart:UP)`pTranscendentalHermiteIntegration(F,UP)``192270
oHermiteIntegrate`3`n`(R,(UP)->UP,R)->Record(answer:R,logpart:R)`pAlgebraicHermiteIntegration(F,UP,UPUP,R)``192715
oI`0`n`()->_$`dSKICombinators(UT)``192904
oIs`2`x`(List(Subject),Pat)->PatternMatchListResult(Base,Subject,List(Subject))`pPatternMatch(Base,Subject,Pat)``192943
oIs`2`x`(Subject,Pat)->List(Equation(Polynomial(Subject)))`pPatternMatch(Base,Subject,Pat)`AND(has(Subject,Ring),not(has(Subject,RetractableTo(Symbol))))`193085
oIs`2`x`(Subject,Pat)->List(Equation(Subject))`pPatternMatch(Base,Subject,Pat)`has(Subject,RetractableTo(Symbol))`193340
oIs`2`x`(Subject,Pat)->PatternMatchResult(Base,Subject)`pPatternMatch(Base,Subject,Pat)`AND(not(has(Subject,RetractableTo(Symbol))),not(has(Subject,Ring)))`193595
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,Fraction(R)))->ContinuedFraction(UnivariatePolynomial(z,Fraction(R)))`pDistributionContinuedFractionPackage(R,z)`AND(has(R,IntegralDomain),not(has(R,Field)))`193877
oJContinuedFraction`2`x`(Distribution(R),UnivariatePolynomial(z,R))->ContinuedFraction(UnivariatePolynomial(z,R))`pDistributionContinuedFractionPackage(R,z)`has(R,Field)`193983
oK`0`n`()->_$`dSKICombinators(UT)``194089
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oKrullNumber`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oLE`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``194128
oLLFI_to_LPA`3`n`(List(List(Fraction(Integer))),Integer,Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``194219
oLLFPI_to_LPA`5`n`(List(List(Fraction(Polynomial(Integer)))),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePade``194244
oLLF_to_LPA`5`n`(List(List(F)),Integer,List(Symbol),List(Integer),Integer)->Union(List(U32Vector),"failed")`pModularHermitePadeSolver(F,S)``194269
oLODO2FUN`1`n`(L)->(List(UTS))->UTS`pUTSodetools(F,UP,L,UTS)``194293
oLT`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``194408
oLUDecomp`1`n`(Matrix(D))->Record(LU:Matrix(D),Perm:Vector(Integer),Pivots:List(D))`pLUDecomposition(D)``194498
oLUInverse`1`n`(Matrix(D))->Record(Inv:Matrix(D),Pivots:List(D))`pLUDecomposition(D)``194737
oLUSolve`3`n`(Matrix(D),Vector(Integer),Vector(D))->Vector(D)`pLUDecomposition(D)``194822
oLagrangeInterpolation`2`n`(List(F),List(F))->P`pPolynomialInterpolationAlgorithms(F,P)``195026
oLazardQuotient2`4`n`(polR,R,R,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``195085
oLazardQuotient2`4`x`(_$,_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`195176
oLazardQuotient`3`n`(R,R,NonNegativeInteger)->R`pPseudoRemainderSequence(R,polR)``195309
oLazardQuotient`3`x`(_$,_$,NonNegativeInteger)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`195384
oLiePolyIfCan`1`n`(XDistributedPolynomial(VarSet,R))->Union(_$,"failed")`dLiePolynomial(VarSet,R)``195501
oLiePolyIfCan`1`n`(_$)->Union(LiePolynomial(VarSet,R),"failed")`dXPBWPolynomial(VarSet,R)``195637
oLiePoly`1`x`(LyndonWord(VarSet))->_$`cFreeLieAlgebra(VarSet,R)``195715
oLowTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``195799
oLyndonBasis`1`n`(List(VarSet))->List(LiePolynomial(VarSet,R))`dLieExponentials(VarSet,R,Order)``196011
oLyndonCoordinates`1`n`(_$)->List(Record(k:LyndonWord(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``196100
oLyndonWordsList1`2`n`(List(VarSet),PositiveInteger)->OneDimensionalArray(List(_$))`dLyndonWord(VarSet)``196183
oLyndonWordsList`2`n`(List(VarSet),PositiveInteger)->List(_$)`dLyndonWord(VarSet)``196317
oMPtoMPT`4`n`(MP,Symbol,List(Symbol),MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``196441
oNOT`1`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``196524
oNOT`1`n`(_$)->_$`dSwitch``196611
oNot`1`n`(_$)->_$`dIndexedBits(mn)``196698
oNot`1`x`(_$)->_$`dSingleInteger``196772
oNul`1`n`(NonNegativeInteger)->_$`dExtAlgBasis``196865
oOMParseError?`1`x`(_$)->Boolean`dOpenMathErrorKind``196960
oOMReadError?`1`x`(_$)->Boolean`dOpenMathErrorKind``197043
oOMUnknownCD?`1`x`(_$)->Boolean`dOpenMathErrorKind``197122
oOMUnknownSymbol?`1`x`(_$)->Boolean`dOpenMathErrorKind``197214
oOMbindTCP`2`x`(_$,SingleInteger)->Boolean`dOpenMathConnection``197307
oOMcloseConn`1`x`(_$)->Void`dOpenMathConnection``197330
oOMclose`1`x`(_$)->Void`dOpenMathDevice``197355
oOMconnInDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``197432
oOMconnOutDevice`1`x`(_$)->OpenMathDevice`dOpenMathConnection``197463
oOMconnectTCP`3`x`(_$,String,SingleInteger)->Boolean`dOpenMathConnection``197495
oOMencodingBinary`0`x`()->_$`dOpenMathEncoding``197521
oOMencodingSGML`0`x`()->_$`dOpenMathEncoding``197603
oOMencodingUnknown`0`x`()->_$`dOpenMathEncoding``197692
oOMencodingXML`0`x`()->_$`dOpenMathEncoding``197887
oOMgetApp`1`x`(_$)->Void`dOpenMathDevice``197970
oOMgetAtp`1`x`(_$)->Void`dOpenMathDevice``198046
oOMgetAttr`1`x`(_$)->Void`dOpenMathDevice``198125
oOMgetBVar`1`x`(_$)->Void`dOpenMathDevice``198200
oOMgetBind`1`x`(_$)->Void`dOpenMathDevice``198285
oOMgetEndApp`1`x`(_$)->Void`dOpenMathDevice``198357
oOMgetEndAtp`1`x`(_$)->Void`dOpenMathDevice``198435
oOMgetEndAttr`1`x`(_$)->Void`dOpenMathDevice``198516
oOMgetEndBVar`1`x`(_$)->Void`dOpenMathDevice``198593
oOMgetEndBind`1`x`(_$)->Void`dOpenMathDevice``198680
oOMgetEndError`1`x`(_$)->Void`dOpenMathDevice``198754
oOMgetEndObject`1`x`(_$)->Void`dOpenMathDevice``198828
oOMgetError`1`x`(_$)->Void`dOpenMathDevice``198904
oOMgetFloat`1`x`(_$)->DoubleFloat`dOpenMathDevice``198976
oOMgetInteger`1`x`(_$)->Integer`dOpenMathDevice``199036
oOMgetObject`1`x`(_$)->Void`dOpenMathDevice``199101
oOMgetString`1`x`(_$)->String`dOpenMathDevice``199175
oOMgetSymbol`1`x`(_$)->Record(cd:String,name:String)`dOpenMathDevice``199237
oOMgetType`1`x`(_$)->Symbol`dOpenMathDevice``199299
oOMgetVariable`1`x`(_$)->Symbol`dOpenMathDevice``199378
oOMlistCDs`0`x`()->List(String)`pOpenMathPackage``199444
oOMlistSymbols`1`x`(String)->List(String)`pOpenMathPackage``199514
oOMmakeConn`1`x`(SingleInteger)->_$`dOpenMathConnection``199581
oOMopenFile`3`x`(String,String,OpenMathEncoding)->_$`dOpenMathDevice``199605
oOMopenString`2`x`(String,OpenMathEncoding)->_$`dOpenMathDevice``199852
oOMputApp`1`x`(_$)->Void`dOpenMathDevice``199979
oOMputAtp`1`x`(_$)->Void`dOpenMathDevice``200054
oOMputAttr`1`x`(_$)->Void`dOpenMathDevice``200132
oOMputBVar`1`x`(_$)->Void`dOpenMathDevice``200206
oOMputBind`1`x`(_$)->Void`dOpenMathDevice``200290
oOMputEndApp`1`x`(_$)->Void`dOpenMathDevice``200361
oOMputEndAtp`1`x`(_$)->Void`dOpenMathDevice``200438
oOMputEndAttr`1`x`(_$)->Void`dOpenMathDevice``200518
oOMputEndBVar`1`x`(_$)->Void`dOpenMathDevice``200594
oOMputEndBind`1`x`(_$)->Void`dOpenMathDevice``200680
oOMputEndError`1`x`(_$)->Void`dOpenMathDevice``200753
oOMputEndObject`1`x`(_$)->Void`dOpenMathDevice``200826
oOMputError`1`x`(_$)->Void`dOpenMathDevice``200901
oOMputFloat`2`x`(_$,DoubleFloat)->Void`dOpenMathDevice``200972
oOMputInteger`2`x`(_$,Integer)->Void`dOpenMathDevice``201047
oOMputObject`1`x`(_$)->Void`dOpenMathDevice``201126
oOMputString`2`x`(_$,String)->Void`dOpenMathDevice``201199
oOMputSymbol`3`x`(_$,String,String)->Void`dOpenMathDevice``201276
oOMputVariable`2`x`(_$,Symbol)->Void`dOpenMathDevice``201384
oOMreadFile`1`x`(String)->Any`pOpenMathPackage``201465
oOMreadStr`1`x`(String)->Any`pOpenMathPackage``201555
oOMread`1`x`(OpenMathDevice)->Any`pOpenMathPackage``201644
oOMreceive`1`x`(OpenMathConnection)->Any`pOpenMathServerPackage``201734
oOMsend`2`x`(OpenMathConnection,Any)->Void`pOpenMathServerPackage``201852
oOMserve`2`x`(SingleInteger,SingleInteger)->Void`pOpenMathServerPackage``201941
oOMsetEncoding`2`x`(_$,OpenMathEncoding)->Void`dOpenMathDevice``202119
oOMsupportsCD?`1`x`(String)->Boolean`pOpenMathPackage``202258
oOMsupportsSymbol?`2`x`(String,String)->Boolean`pOpenMathPackage``202364
oOMunhandledSymbol`2`x`(String,String)->Exit`pOpenMathPackage``202510
oOMwrite`1`n`(S)->String`xOpenMath&(S)``0
oOMwrite`1`x`(Expression(R))->String`pExpressionToOpenMath(R)``0
oOMwrite`1`x`(_$)->String`cOpenMath``202675
oOMwrite`2`n`(OpenMathDevice,S)->Void`xOpenMath&(S)``0
oOMwrite`2`n`(S,Boolean)->String`xOpenMath&(S)``0
oOMwrite`2`x`(Expression(R),Boolean)->String`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,Expression(R))->Void`pExpressionToOpenMath(R)``0
oOMwrite`2`x`(OpenMathDevice,_$)->Void`cOpenMath``202783
oOMwrite`2`x`(_$,Boolean)->String`cOpenMath``202916
oOMwrite`3`n`(OpenMathDevice,S,Boolean)->Void`xOpenMath&(S)``0
oOMwrite`3`x`(OpenMathDevice,Expression(R),Boolean)->Void`pExpressionToOpenMath(R)``0
oOMwrite`3`x`(OpenMathDevice,_$,Boolean)->Void`cOpenMath``203144
oOR`2`n`(Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$),Union(I:Expression(Integer),F:Expression(Float),CF:Expression(Complex(Float)),switch:_$))->_$`dSwitch``203376
oOr`2`n`(_$,_$)->_$`dIndexedBits(mn)``203469
oOr`2`x`(_$,_$)->_$`dSingleInteger``203559
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`1`n`(List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleCategory``203669
oP`1`n`(List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`1`n`(NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`1`n`(NonNegativeInteger)->_$`cJetBundleCategory``203778
oP`1`n`(NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``203913
oP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleCategory&(S)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleCategory``204143
oP`2`n`(PositiveInteger,NonNegativeInteger)->_$`cJetBundleFunctionCategory(JB)``0
oParCondList`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR)))`pParametricLinearEquations(R,Var,Expon,GR)``204299
oParCond`2`n`(Matrix(GR),NonNegativeInteger)->List(Record(det:GR,rows:List(Integer),cols:List(Integer)))`pParametricLinearEquations(R,Var,Expon,GR)``204479
oPfaffian`1`n`(S)->R`xMatrixCategory&(S,R,Row,Col)``0
oPfaffian`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`204592
oPfaffian`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`204705
oPm`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`cJetBundleCategory``204818
oPnan?`1`n`(_$)->Boolean`cSPointCategory``204911
oPollardSmallFactor`1`n`(I)->Union(I,"failed")`pIntegerFactorizationPackage(I)``205415
oPr`2`n`(PositiveInteger,List(PositiveInteger))->S`xJetBundleCategory&(S)``0
oPr`2`n`(PositiveInteger,List(PositiveInteger))->_$`cJetBundleCategory``205510
oR1_to_R2_coercion`1`x`(R1)->R2`pDistributionFunctions2(R1,R2)``205606
oRF2UTS`1`n`(Fraction(UP))->UTS`pUTSodetools(F,UP,L,UTS)`has(F,IntegralDomain)`205669
oReduceOrder`2`n`(L,F)->L`pReductionOfOrder(F,L)``205730
oReduceOrder`2`n`(L,List(F))->Record(eq:L,op:List(F))`pReductionOfOrder(F,L)``205936
oRemainderList`1`n`(_$)->List(Record(k:Symbol,c:_$))`dXPolynomial(R)``0
oRemainderList`1`n`(_$)->List(Record(k:VarSet,c:_$))`dXRecursivePolynomial(VarSet,R)``206238
oRittWuCompare`2`n`(S,S)->Union(Boolean,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oRittWuCompare`2`x`(_$,_$)->Union(Boolean,"failed")`cRecursivePolynomialCategory(R,E,V)``206326
oSEGMENT`1`n`(_$)->_$`dOutputForm``206562
oSEGMENT`1`x`(S)->_$`dUniversalSegment(S)``206624
oSEGMENT`2`n`(_$,_$)->_$`dOutputForm``206710
oSEGMENT`2`x`(S,S)->_$`cSegmentCategory(S)``206777
oSFunction`1`x`(List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``206859
oSPDE1`3`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))`pRDEaux(F)``207020
oSTransform1`1`x`(Distribution(R))->UTSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``207458
oSTransform2`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``207603
oSTransform`1`x`(Distribution(R))->UPSR`pSTransformPackage(R,UTSR,ULSR,UPSR)``207720
oS`0`n`()->_$`dSKICombinators(UT)``207817
oScanArabic`1`n`(String)->PositiveInteger`pNumberFormats``207857
oScanFloatIgnoreSpacesIfCan`1`n`(String)->Union(Float,"failed")`pNumberFormats``207942
oScanFloatIgnoreSpaces`1`n`(String)->Float`pNumberFormats``208070
oScanRoman`1`n`(String)->PositiveInteger`pNumberFormats``208264
oShi`1`n`(F)->F`pLiouvillianFunction(R,F)``208346
oShi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``208404
oShi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oShi`1`x`(Float)->Float`pFloatLiouvilianFunctions``208462
oShi`1`x`(_$)->_$`cLiouvillianFunctionCategory``208520
oShiftAction`3`n`(NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``208650
oShiftC`1`n`(NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``208883
oSi`1`n`(F)->F`pLiouvillianFunction(R,F)``209199
oSi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``209252
oSi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oSi`1`x`(Float)->Float`pFloatLiouvilianFunctions``209305
oSi`1`x`(_$)->_$`cLiouvillianFunctionCategory``209358
oSomos`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``209482
oSomos`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``209583
oSturmHabichtCoefficients`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(R)`pSturmHabichtPackage(R,x)``209809
oSturmHabichtMultiple`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`209935
oSturmHabichtSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``210238
oSturmHabicht`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``210346
oT$`0`n`()->_$`cBoundedMeetSemilattice``210641
oUP2UTS`1`n`(UP)->UTS`pUTSodetools(F,UP,L,UTS)``210676
oUTS2UP`2`n`(UTS,NonNegativeInteger)->UP`pUTSodetools(F,UP,L,UTS)``210738
oU`0`n`()->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`0`n`()->S`xJetBundleCategory&(S)``0
oU`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oU`0`n`()->_$`cJetBundleCategory``210841
oU`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleBaseFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oU`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oU`1`n`(PositiveInteger)->_$`cJetBundleCategory``210898
oU`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oUnVectorise`1`n`(Vector(R))->_$`dModMonic(R,Rep)``210970
oUpTriBddDenomInv`2`n`(M,R)->M`pTriangularMatrixOperations(R,Row,Col,M)``211013
oVSUPI_to_VPA`2`n`(Vector(SparseUnivariatePolynomial(Integer)),Integer)->Vector(U32Vector)`pModularHermitePade``211225
oVSUPPI_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(Polynomial(Integer))),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePade``211251
oVSUPS_to_VPA`4`n`(Vector(SparseUnivariatePolynomial(S)),List(Symbol),List(Integer),Integer)->Vector(U32Vector)`pModularHermitePadeSolver(F,S)``211277
oVectorise`1`n`(_$)->Vector(R)`dModMonic(R,Rep)``211302
oX`0`n`()->S`xJetBundleCategory&(S)``0
oX`0`n`()->S`xJetBundleFunctionCategory&(S,JB)``0
oX`0`n`()->_$`cJetBundleCategory``211343
oX`0`n`()->_$`cJetBundleFunctionCategory(JB)``0
oX`1`n`(PositiveInteger)->S`xJetBundleCategory&(S)``0
oX`1`n`(PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oX`1`n`(PositiveInteger)->_$`cJetBundleCategory``211402
oX`1`n`(PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``0
oY`1`n`((Stream(A))->Stream(A))->Stream(A)`pParadoxicalCombinatorsForStreams(A)``211476
oY`2`n`((List(Stream(A)))->List(Stream(A)),Integer)->List(Stream(A))`pParadoxicalCombinatorsForStreams(A)``211544
o\/`2`n`(S,S)->S`xBitAggregate&(S)``0
o\/`2`n`(_$,_$)->_$`cJoinSemilattice``211707
o\/`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``211768
o\/`2`x`(_$,_$)->_$`dSingleInteger``211883
o^`2`n`(F,F)->F`pCombinatorialFunction(R,F)``212004
o^`2`n`(F,Fraction(Integer))->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`212055
o^`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``212126
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)->_$`dFreeGroup(S)``212243
o^`2`n`(S,NonNegativeInteger)->S`xComplexCategory&(S,R)``0
o^`2`n`(S,NonNegativeInteger)->S`xDivisionRing&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xGroup&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xRealClosedField&(S)``0
o^`2`n`(S,NonNegativeInteger)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
o^`2`n`(S,NonNegativeInteger)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
o^`2`n`(S,NonNegativeInteger)->_$`dFreeMonoid(S)``212321
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`xMagma&(S)``0
o^`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
o^`2`n`(S,PositiveInteger)->S`xRealClosedField&(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)``212399
o^`2`n`(Stream(Coef),Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``212507
o^`2`n`(ULS,Fraction(Integer))->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)`has(Coef,Field)`212615
o^`2`n`(UPXS,Fraction(Integer))->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)`has(Coef,Field)`212697
o^`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``212780
o^`2`n`(_$,Integer)->_$`dInputForm``212848
o^`2`n`(_$,Integer)->_$`dOperator(R)``0
o^`2`n`(_$,NonNegativeInteger)->_$`dIncidenceAlgebra(R,S)``212922
o^`2`n`(_$,NonNegativeInteger)->_$`dInputForm``213041
o^`2`n`(_$,NonNegativeInteger)->_$`dPattern(R)``213115
o^`2`n`(_$,PositiveInteger)->_$`cDistributionCategory(R)``213169
o^`2`n`(_$,_$)->_$`dOutputForm``213326
o^`2`n`(_$,_$)->_$`dPattern(R)``213381
o^`2`n`(_$,_$)->_$`dSmallOrdinal``213435
o^`2`x`((A)->A,NonNegativeInteger)->(A)->A`pMappingPackage1(A)``213583
o^`2`x`(_$,Coef)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Field)`213683
o^`2`x`(_$,Fraction(Integer))->_$`cRadicalCategory``213904
o^`2`x`(_$,Integer)->_$`cDivisionRing``213990
o^`2`x`(_$,Integer)->_$`cGroup``214063
o^`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,Field)`214136
o^`2`x`(_$,Integer)->_$`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`214283
o^`2`x`(_$,Integer)->_$`dModuleOperator(R,M)``214392
o^`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``214425
o^`2`x`(_$,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)`AND(has(R,Monoid),has(R,SemiRng))`214525
o^`2`x`(_$,NonNegativeInteger)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``214644
o^`2`x`(_$,PositiveInteger)->_$`cMagma``214715
o^`2`x`(_$,_$)->_$`cElementaryFunctionCategory``214815
o^`2`x`(_$,_$)->_$`dCardinalNumber``214873
o_|_`0`n`()->_$`cBoundedJoinSemilattice``214982
oaCubic`4`n`(F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``215021
oaLinear`2`n`(F,F)->F`pPolynomialSolveByFormulas(UP,F)``215074
oaQuadratic`3`n`(F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``215118
oaQuartic`5`n`(F,F,F,F,F)->F`pPolynomialSolveByFormulas(UP,F)``215170
oabelianGroup`1`x`(List(PositiveInteger))->PermutationGroup(Integer)`pPermutationGroupExamples``215230
oabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``215377
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`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``215454
oabs`1`x`(_$)->R`cOctonionCategory(R)`has(R,RealNumberSystem)`215521
oabs`1`x`(_$)->R`cQuaternionCategory(R)`has(R,RealNumberSystem)`215650
oabs`1`x`(_$)->_$`cComplexCategory(R)`has(R,RealNumberSystem)`215738
oabs`1`x`(_$)->_$`cOrderedRing``215822
oabs`1`x`(_$)->_$`cSpecialFunctionCategory``215883
oabsolutelyIrreducible?`0`n`()->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``215944
oabsolutelyIrreducible?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``216026
oacosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``216108
oacos`1`n`(F)->F`pElementaryFunction(R,F)``216197
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)``216267
oacos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``216338
oacos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``216409
oacos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``216482
oacos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``216557
oacos`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``216626
oacoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``216990
oacosh`1`n`(F)->F`pElementaryFunction(R,F)``217081
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)``217163
oacosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``217255
oacosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``217347
oacosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``217436
oacosh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``217527
oacotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``217597
oacot`1`n`(F)->F`pElementaryFunction(R,F)``217686
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)``217759
oacot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``217833
oacot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``217907
oacot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``217983
oacot`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``218061
oacothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``218122
oacoth`1`n`(F)->F`pElementaryFunction(R,F)``218213
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)``218298
oacoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218393
oacoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``218488
oacoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``218580
oacoth`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``218674
oacscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``218747
oacsc`1`n`(F)->F`pElementaryFunction(R,F)``218836
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)``218908
oacsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``218981
oacsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219054
oacsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``219129
oacsc`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``219206
oacschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``219266
oacsch`1`n`(F)->F`pElementaryFunction(R,F)``219357
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)``219441
oacsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``219535
oacsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``219629
oacsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``219720
oacsch`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``219813
oadaptive3D?`0`n`()->Boolean`dPlot3D``219885
oadaptive?`0`n`()->Boolean`dPlot``219961
oadaptive`0`x`()->Boolean`pGraphicsDefaults``220034
oadaptive`1`x`(Boolean)->Boolean`pGraphicsDefaults``220112
oadaptive`1`x`(Boolean)->_$`dDrawOption``220221
oadaptive`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``220402
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xFiniteGraph&(A,S)``0
oaddArrow!`2`n`(A,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->A`xPoset&(A,S)``0
oaddArrow!`2`n`(_$,Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))->_$`cFiniteGraph(S)``220613
oaddArrow!`3`n`(A,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->_$`cPoset(S)``220685
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,NonNegativeInteger,NonNegativeInteger)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xFiniteGraph&(A,S)``0
oaddArrow!`4`n`(A,String,S,S)->A`xPoset&(A,S)``0
oaddArrow!`4`n`(_$,String,NonNegativeInteger,NonNegativeInteger)->_$`cFiniteGraph(S)``220976
oaddArrow!`4`n`(_$,String,S,S)->_$`cFiniteGraph(S)``221186
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xFiniteGraph&(A,S)``0
oaddArrow!`5`n`(A,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->A`xPoset&(A,S)``0
oaddArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,List(NonNegativeInteger))->_$`cFiniteGraph(S)``221370
oaddArrows2Din2D`5`n`(_$,(PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``221631
oaddBadValue`2`n`(Pattern(R),D)->Pattern(R)`pPatternFunctions1(R,D)``221774
oaddBadValue`2`n`(_$,Any)->_$`dPattern(R)``221922
oaddChild!`2`n`(_$,_$)->Void`dScene(PT)``222076
oaddCube`2`n`(_$,CubicalFacet)->_$`dFiniteCubicalComplex(VS)``222171
oaddImpliedFaces`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``222293
oaddImpliedFaces`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``222594
oaddMatchRestricted`4`n`(Pattern(R),S,_$,S)->_$`dPatternMatchResult(R,S)``222901
oaddMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``223280
oaddNode!`3`n`(_$,String,Scene(PT))->_$`dSceneNamedPoints(PT)``223522
oaddObject!`2`n`(A,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->A`xPoset&(A,S)``0
oaddObject!`2`n`(A,S)->A`xPoset&(A,S)``0
oaddObject!`2`n`(_$,Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))->_$`cFiniteGraph(S)``223583
oaddObject!`2`n`(_$,S)->_$`cFiniteGraph(S)``223677
oaddObject!`2`n`(_$,S)->_$`cPoset(S)``223889
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224099
oaddPlot1Din2D`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224228
oaddPlot1Din2Dparametric`4`n`(_$,ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224357
oaddPlot1Din3Dparametric`4`n`(_$,(DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224508
oaddPlot1Din3Dparametric`4`n`(_$,ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224661
oaddPlot2Din3D`5`n`(_$,(DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224812
oaddPlot2Din3Dparametric`5`n`(_$,(DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``224947
oaddPlot2Din3Dparametric`5`n`(_$,ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``225102
oaddPoint2`2`n`(_$,Point(R))->_$`dSubSpace(n,R)``225257
oaddPointLast`4`n`(_$,_$,Point(R),NonNegativeInteger)->_$`dSubSpace(n,R)``225437
oaddPoint`2`n`(_$,Point(R))->NonNegativeInteger`dSubSpace(n,R)``225741
oaddPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``225903
oaddPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``226696
oaddPoints!`3`n`(_$,String,_$)->_$`dSceneNamedPoints(PT)``227457
oaddSceneArrow`6`n`(_$,String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``227522
oaddSceneArrow`7`n`(_$,_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``227664
oaddSceneArrows`4`n`(_$,List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``227819
oaddSceneBox`2`n`(_$,DoubleFloat)->_$`dScene(PT)``227949
oaddSceneClip`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``228057
oaddSceneClip`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``228182
oaddSceneDef`3`n`(_$,String,_$)->_$`dScene(PT)``228290
oaddSceneGraph`5`n`(_$,DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``228404
oaddSceneGrid`2`n`(_$,Record(mins:PT,maxs:PT))->_$`dScene(PT)``228540
oaddSceneGrid`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``228665
oaddSceneGrid`3`n`(_$,DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``228773
oaddSceneGrid`3`n`(_$,DoubleFloat,SBoundary(PT))->_$`dScene(PT)``228898
oaddSceneGroup`1`n`(_$)->_$`dScene(PT)``229018
oaddSceneIFS`2`n`(_$,SceneIFS(PT))->_$`dScene(PT)``229122
oaddSceneIFS`3`n`(_$,List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``229229
oaddSceneLine`2`n`(_$,List(PT))->_$`dScene(PT)``229343
oaddSceneLine`4`n`(_$,_$,_$,DoubleFloat)->_$`dScene(PT)``229453
oaddSceneLine`5`n`(_$,_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``229580
oaddSceneLines`2`n`(_$,List(List(PT)))->_$`dScene(PT)``229707
oaddSceneMaterial`2`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``229819
oaddSceneMaterial`4`n`(_$,DoubleFloat,String,String)->_$`dScene(PT)``229936
oaddSceneNamedPoints`2`n`(_$,SceneNamedPoints(PT))->_$`dScene(PT)``230073
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``230195
oaddScenePattern`4`n`(_$,Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``230320
oaddSceneRuler`4`n`(_$,Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``230451
oaddSceneRuler`4`n`(_$,Symbol,PT,SBoundary(PT))->_$`dScene(PT)``230576
oaddSceneShape`2`n`(_$,Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``230705
oaddSceneShape`2`n`(_$,SBoundary(PT))->_$`dScene(PT)``230818
oaddSceneText`2`n`(_$,Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``230931
oaddSceneText`4`n`(_$,List(String),NonNegativeInteger,PT)->_$`dScene(PT)``231041
oaddSceneText`4`n`(_$,String,NonNegativeInteger,PT)->_$`dScene(PT)``231162
oaddSceneTransform`2`n`(_$,STransform(PT))->_$`dScene(PT)``231283
oaddSceneUse`2`n`(_$,String)->_$`dScene(PT)``231403
oaddSimplex`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``231510
oaddVertex2`2`n`(_$,Record(left:NonNegativeInteger,right:NonNegativeInteger))->_$`dProductFacet``231658
oaddVertex`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``231702
oaddWArrow!`5`n`(_$,String,NonNegativeInteger,NonNegativeInteger,W)->_$`dWeightedGraph(S,W)``231746
oaddWarning`1`n`(OutputForm)->Void`pUnittestCount``232010
oadd_slots`2`n`(List(Integer),_$)->Void`dVectorModularReconstructor``232186
oaddiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``232251
oadditive?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``232538
oaddmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``232643
oadjacencyMatrix`1`n`(A)->Matrix(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oadjacencyMatrix`1`n`(_$)->Matrix(NonNegativeInteger)`cFiniteGraph(S)``232728
oadjoint`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
oadjoint`1`n`(_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`1`n`(_$)->_$`dPartialDifferentialOperator(R,Var)``233121
oadjoint`1`x`(M)->Record(adjMat:M,detMat:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`233188
oadjoint`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)``233371
oadjoint`1`x`(_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`233431
oadjoint`2`n`(_$,_$)->_$`dOperator(R)`has(R,CommutativeRing)`0
oadjoint`2`x`(_$,_$)->_$`dModuleOperator(R,M)`has(R,CommutativeRing)`233504
oairyAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``233623
oairyAiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``233722
oairyAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``233811
oairyAi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``233891
oairyAi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``234068
oairyAi`1`x`(_$)->_$`cSpecialFunctionCategory``234245
oairyBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``234311
oairyBiPrime`1`x`(_$)->_$`cSpecialFunctionCategory``234410
oairyBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``234489
oairyBi`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``234569
oairyBi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``234746
oairyBi`1`x`(_$)->_$`cSpecialFunctionCategory``234923
oalgDepHP`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynom--ial(AlgebraicNumber,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expre--ssion(Integer),C:(NonNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->S--tream(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``234989
oalgDepHP`2`x`(List(List(F)),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integ--er),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oalgDepHP`2`x`(List(List(Fraction(Integer))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariat--ePolynomial(Fraction(Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Express--ion(Integer),C:(NonNegativeInteger)->List(Integer))`pGuessInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vect--or(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(F--raction(Polynomial(Integer)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oalgDepHP`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPower--Series(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(N--onNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),List(R))->Record(particular:List(Record(ratpart:R,coeffs:Vector(F))),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``235129
oalgDsolve`2`n`(LinearOrdinaryDifferentialOperator1(R),R)->Record(particular:Union(R,"failed"),basis:List(R))`pPureAlgebraicLODE(F,UP,UPUP,R)``235223
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)``235547
oalg_reduce0`4`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),Symbol)->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``235872
oalg_reduce`4`n`(SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->SparseMultivariatePolynomial(Integer,Symbol)`pPrimGCD``235949
oalg_split_root0`3`n`(F,Kernel(F),Integer)->List(F)`pRootFSSplit(R,F)``0
oalg_split_roots`3`n`(List(F),Kernel(F),Kernel(F))->List(Record(funs:List(F),nroot:F,npow1:Integer,npow2:Integer))`pRootFSSplit(R,F)``236042
oalg_trial_division`5`n`(SparseMultivariatePolynomial(Integer,Symbol),SparseMultivariatePolynomial(Integer,Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)),List(Symbol),List(Symbol))->Boolean`pPrimGCD``236227
oalgebraic?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
oalgebraic?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
oalgebraic?`1`x`(_$)->Boolean`cExtensionField(F)``236513
oalgebraic?`2`n`(V,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraic?`2`x`(V,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``236631
oalgebraicCoefficients?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicCoefficients?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``236752
oalgebraicDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicDecompose`3`x`(P,TS,Boolean)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oalgebraicGcd`6`n`(PT,PT,List(PT),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd2(PT,MP,MPT,MD,ME,MO)``236939
oalgebraicGcd`6`n`(Polynomial(Integer),Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Symbol,List(Symbol))->Polynomial(Integer)`pModularAlgebraicGcd(MPT,MD,MO)``0
oalgebraicOf`2`x`(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),OutputForm)->_$`dRealClosure(TheField)``237192
oalgebraicSort`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``237247
oalgebraicSort`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``237379
oalgebraicVariables`1`n`(S)->List(V)`xTriangularSetCategory&(S,R,E,V,P)``0
oalgebraicVariables`1`x`(_$)->List(V)`cTriangularSetCategory(R,E,V,P)``237510
oalgextint_base`3`n`((SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,R)``237639
oalgextint_base`5`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F)``237926
oalgextint`5`n`((SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(R))->List(Record(ratpart:R,coeffs:Vector(F)))`pAlgebraicIntegrate2(R0,F,R)``238087
oalgextint`7`n`(Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F),(List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Fraction(SparseUnivariatePolynomial(F)),List(Fraction(SparseUnivariatePolynomial(F))))->List(Record(ratpart:Fraction(SparseUnivariatePolynomial(F)),coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pAlgebraicIntegration(R,F--)``238409
oalgint`4`n`(F,Kernel(F),Kernel(F),(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->IntegrationResult(F)`pAlgebraicIntegration(R,F)``238672
oalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``238857
oalgtower`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
oalgtower`1`x`(List(_$))->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`238953
oalgtower`1`x`(_$)->List(Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`239207
oallDegrees`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``239257
oallDegrees`1`x`(Boolean)->_$`dGuessOption``239388
oallIndices`1`n`(_$)->List(C)`dSparseEchelonMatrix(C,D)``239640
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`cJetBundleCategory``239745
oallRepeated`1`n`(List(NonNegativeInteger))->List(List(PositiveInteger))`xJetBundleCategory&(S)``239862
oallRootsOf`1`n`(Polynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(Polynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(Integer))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xRealClosedField&(S)``0
oallRootsOf`1`x`(Polynomial(Fraction(Integer)))->List(_$)`cRealClosedField``239979
oallRootsOf`1`x`(Polynomial(Integer))->List(_$)`cRealClosedField``240066
oallRootsOf`1`x`(Polynomial(_$))->List(_$)`cRealClosedField``240153
oallRootsOf`1`x`(SparseUnivariatePolynomial(Fraction(Integer)))->List(_$)`cRealClosedField``240240
oallRootsOf`1`x`(SparseUnivariatePolynomial(Integer))->List(_$)`cRealClosedField``240327
oallRootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cRealClosedField``240414
oallRootsOf`1`x`(ThePols)->List(_$)`cRealRootCharacterizationCategory(TheField,ThePols)``240501
oallSimpleCells`2`n`(List(ThePols),Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``240608
oallSimpleCells`2`n`(ThePols,Symbol)->List(_$)`dSimpleCell(TheField,ThePols)``240768
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dCubicalFacet``240851
oallSubsets`2`n`(_$,NonNegativeInteger)->List(_$)`dOrientedFacet``240953
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dCubicalFacet``241055
oallSubsets`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(_$)`dOrientedFacet``241158
oalphaHilbert`1`n`(SparseUnivariatePolynomial(Fraction(Integer)))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``241261
oalpha`2`n`(NonNegativeInteger,List(NonNegativeInteger))->List(NonNegativeInteger)`pCartanKuranishi(JB,D)``241361
oalphabetic?`1`x`(_$)->Boolean`dCharacter``241502
oalphabetic`0`x`()->_$`dCharacterClass``241617
oalphanumeric?`1`x`(_$)->Boolean`dCharacter``241743
oalphanumeric`0`x`()->_$`dCharacterClass``241885
oalternatingGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``242015
oalternatingGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``242591
oalternating`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``242983
oalternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``243089
oalternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``243339
oanalyseSymbol`1`n`(SparseEchelonMatrix(JB,D))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``243589
oand`2`n`(_$,_$)->_$`dOutputForm``243688
oand`2`x`(_$,_$)->_$`cBitAggregate``243745
oand`2`x`(_$,_$)->_$`dBoolean``243838
oangerJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``243924
oangerJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``243984
oannihilate?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oannihilate?`2`n`(S,S)->Boolean`xRng&(S)``0
oannihilate?`2`x`(_$,_$)->Boolean`cRng``244045
oansatz`0`n`()->JetVectorField(JB1,JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``244139
oantiAssociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``244213
oantiAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``244408
oantiCommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``244603
oantiCommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``244764
oantiCommutator`2`n`(S,S)->S`xNonAssociativeSemiRng&(S)``0
oantiCommutator`2`n`(_$,_$)->_$`cNonAssociativeSemiRng``244925
oanticoord`3`n`(List(F),DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``244986
oantipode`1`x`(_$)->_$`cHopfAlgebra(R,MxM)``245024
oantisymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
oantisymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oantisymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)`has(R,AbelianGroup)`245096
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``245307
oantisymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,AbelianGroup)`245518
oantisymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)`has(R,CommutativeRing)`245729
oantisymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)`has(R,CommutativeRing)`246317
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`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,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`246923
oany`2`x`(SExpression,None)->_$`dAny``247223
oappendPoint`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``247409
oappendRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``247606
oappend`2`x`(_$,_$)->_$`dList(S)``247699
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)``247858
oapplyQuote`2`x`(Symbol,_$)->_$`cFunctionSpace(R)``247947
oapplyQuote`3`n`(Symbol,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`3`x`(Symbol,_$,_$)->_$`cFunctionSpace(R)``248006
oapplyQuote`4`n`(Symbol,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`4`x`(Symbol,_$,_$,_$)->_$`cFunctionSpace(R)``248075
oapplyQuote`5`n`(Symbol,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oapplyQuote`5`x`(Symbol,_$,_$,_$,_$)->_$`cFunctionSpace(R)``248154
oapplyRules`2`n`(List(RewriteRule(Base,R,F)),F)->F`pApplyRules(Base,R,F)``248243
oapplyRules`3`n`(List(RewriteRule(Base,R,F)),F,PositiveInteger)->F`pApplyRules(Base,R,F)``248482
oapplyTaylor`2`n`((UTS)->UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``248622
oapply_taylor`2`n`(Stream(Coef),_$)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``248685
oapply_taylor`2`n`(UTS,PS)->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``248926
oapply`2`n`(Matrix(R),S)->S`xFramedNonAssociativeAlgebra&(S,R)``0
oapply`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dFunctionGraph(S)``248990
oapply`2`n`(_$,Partition)->R`cSequenceCategory(R)``249067
oapply`2`x`(Matrix(R),_$)->_$`cFramedNonAssociativeAlgebra(R)``249209
oapply`2`x`(UPS,Distribution(R))->Distribution(S)`pDistributionPolynomialPackage(R,S,UPS)``249477
oapply`3`n`(P,(M)->M,M)->M`pApplyUnivariateSkewPolynomial(R,M,P)``249610
oapply`3`n`(_$,Integer,Integer)->R`dIncidenceAlgebra(R,S)``249771
oapply`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`dMultifunctionGraph(S)``249832
oapply`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``249909
oapply`3`n`(_$,P,P)->R`dGeneralizedFiniteMoebiusFunction(P,R)``250018
oapply`3`n`(_$,S,S)->R`dIncidenceAlgebra(R,S)``250127
oapply`3`x`(_$,R,R)->R`cUnivariateSkewPolynomialCategory(R)``250296
oapply`5`n`(C,R,R,Automorphism(R),(R)->R)->R`pUnivariateSkewPolynomialCategoryOps(R,C)``250414
oapproxNthRoot`2`x`(I,NonNegativeInteger)->I`pIntegerRoots(I)``250550
oapproxSqrt`1`x`(I)->I`pIntegerRoots(I)``250673
oapproximants`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``250986
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dBalancedPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRational(p)``0
oapproximate`2`n`(_$,Integer)->Fraction(Integer)`dPAdicRationalConstructor(p,PADIC)``251197
oapproximate`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)`AND(has(Coef,SIGNATURE(^,Coef(Coef,Expon))),has(Coef,SIGNATURE(coerce,Coef(Symbol))))`251300
oapproximate`2`x`(_$,Integer)->Integer`cPAdicIntegerCategory(p)``251435
oapproximate`2`x`(_$,_$)->Fraction(Integer)`cRealClosedField``251576
oapproximate`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``251673
oarbFunctions`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``251803
oarcsineDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)`has(R,Algebra(Fraction(Integer)))`252030
oareEquivalent?`2`x`(List(Matrix(R)),List(Matrix(R)))->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`252123
oareEquivalent?`3`x`(List(Matrix(R)),List(Matrix(R)),Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`252263
oareEquivalent?`4`x`(List(Matrix(R)),List(Matrix(R)),Boolean,Integer)->Matrix(R)`pRepresentationPackage2(R)`has(R,Field)`252420
oarg1`2`n`(A,C)->A`pMappingPackageInternalHacks2(A,C)``253726
oarg2`2`n`(A,C)->C`pMappingPackageInternalHacks2(A,C)``253781
oargscript`2`x`(_$,List(OutputForm))->_$`dSymbol``253837
oargumentList!`1`n`(List(Symbol))->Void`dTheSymbolTable``253944
oargumentList!`2`n`(Symbol,List(Symbol))->Void`dTheSymbolTable``254074
oargumentList!`3`n`(Symbol,List(Symbol),_$)->Void`dTheSymbolTable``254206
oargumentListOf`2`n`(Symbol,_$)->List(Symbol)`dTheSymbolTable``254338
oargument`1`n`(S)->R`xComplexCategory&(S,R)``0
oargument`1`n`(_$)->E`dFourierComponent(E)``254415
oargument`1`n`(_$)->List(S)`dKernel(S)``254493
oargument`1`x`(_$)->R`cComplexCategory(R)`has(R,TranscendentalFunctionCategory)`254571
oarguments`1`n`(OutputForm)->List(OutputForm)`pOutputFormTools``254653
oarity`1`x`(_$)->Union(NonNegativeInteger,"failed")`dBasicOperator``254762
oaromberg`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``254882
oarrayStack`1`x`(List(S))->_$`dArrayStack(S)``255689
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xFiniteGraph&(A,S)``0
oarrowName`3`n`(A,NonNegativeInteger,NonNegativeInteger)->String`xPoset&(A,S)``0
oarrowName`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->String`cFiniteGraph(S)``255857
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``255978
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256030
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256116
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
oarrowsToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
oarrowsToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``256218
oasecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``256304
oasec`1`n`(F)->F`pElementaryFunction(R,F)``256393
oasec`1`n`(S)->S`xArcTrigonometricFunctionCategory&(S)``0
oasec`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``256463
oasec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``256534
oasec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``256605
oasec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``256678
oasec`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``256753
oasechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``256811
oasech`1`n`(F)->F`pElementaryFunction(R,F)``256902
oasech`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasech`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``256984
oasech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``257076
oasech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``257168
oasech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``257257
oasech`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``257348
oasimpson`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``257418
oasinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``258225
oasin`1`n`(F)->F`pElementaryFunction(R,F)``258314
oasin`1`n`(S)->S`xComplexCategory&(S,R)``0
oasin`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasin`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``258382
oasin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``258451
oasin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``258520
oasin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``258591
oasin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``258664
oasin`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``258733
oasinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``259095
oasinh`1`n`(F)->F`pElementaryFunction(R,F)``259186
oasinh`1`n`(S)->S`xComplexCategory&(S,R)``0
oasinh`1`n`(S)->S`xTranscendentalFunctionCategory&(S)``0
oasinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``259266
oasinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``259356
oasinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``259446
oasinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``259533
oasinh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``259622
oassert`2`x`(_$,Symbol)->_$`dBasicOperator``259690
oassign`2`n`(Symbol,Expression(Complex(Float)))->_$`dFortranCode``259841
oassign`2`n`(Symbol,Expression(Float))->_$`dFortranCode``259926
oassign`2`n`(Symbol,Expression(Integer))->_$`dFortranCode``260011
oassign`2`n`(Symbol,Expression(MachineComplex))->_$`dFortranCode``260096
oassign`2`n`(Symbol,Expression(MachineFloat))->_$`dFortranCode``260181
oassign`2`n`(Symbol,Expression(MachineInteger))->_$`dFortranCode``260266
oassign`2`n`(Symbol,Matrix(Expression(Complex(Float))))->_$`dFortranCode``260351
oassign`2`n`(Symbol,Matrix(Expression(Float)))->_$`dFortranCode``260436
oassign`2`n`(Symbol,Matrix(Expression(Integer)))->_$`dFortranCode``260521
oassign`2`n`(Symbol,Matrix(Expression(MachineComplex)))->_$`dFortranCode``260606
oassign`2`n`(Symbol,Matrix(Expression(MachineFloat)))->_$`dFortranCode``260691
oassign`2`n`(Symbol,Matrix(Expression(MachineInteger)))->_$`dFortranCode``260776
oassign`2`n`(Symbol,Matrix(MachineComplex))->_$`dFortranCode``260861
oassign`2`n`(Symbol,Matrix(MachineFloat))->_$`dFortranCode``260946
oassign`2`n`(Symbol,Matrix(MachineInteger))->_$`dFortranCode``261031
oassign`2`n`(Symbol,String)->_$`dFortranCode``261116
oassign`2`n`(Symbol,Vector(Expression(Complex(Float))))->_$`dFortranCode``261201
oassign`2`n`(Symbol,Vector(Expression(Float)))->_$`dFortranCode``261286
oassign`2`n`(Symbol,Vector(Expression(Integer)))->_$`dFortranCode``261371
oassign`2`n`(Symbol,Vector(Expression(MachineComplex)))->_$`dFortranCode``261456
oassign`2`n`(Symbol,Vector(Expression(MachineFloat)))->_$`dFortranCode``261541
oassign`2`n`(Symbol,Vector(Expression(MachineInteger)))->_$`dFortranCode``261626
oassign`2`n`(Symbol,Vector(MachineComplex))->_$`dFortranCode``261711
oassign`2`n`(Symbol,Vector(MachineFloat))->_$`dFortranCode``261796
oassign`2`n`(Symbol,Vector(MachineInteger))->_$`dFortranCode``261881
oassign`2`n`(_$,_$)->_$`dOutputForm``261966
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Complex(Float)))->_$`dFortranCode``262044
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Float))->_$`dFortranCode``262218
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(Integer))->_$`dFortranCode``262392
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineComplex))->_$`dFortranCode``262566
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineFloat))->_$`dFortranCode``262740
oassign`3`n`(Symbol,List(Polynomial(Integer)),Expression(MachineInteger))->_$`dFortranCode``262914
oassoc`2`x`(Key,_$)->Union(Record(key:Key,entry:Entry),"failed")`cAssociationListAggregate(Key,Entry)``263088
oassociatedEquations`2`n`(L,PositiveInteger)->Record(minor:List(PositiveInteger),eq:L,minors:List(List(PositiveInteger)),ops:List(L))`pAssociatedEquations(R,L)`has(R,Field)`263247
oassociatedSystem`2`n`(L,PositiveInteger)->Record(mat:Matrix(R),vec:Vector(List(PositiveInteger)))`pAssociatedEquations(R,L)``263445
oassociates?`2`n`(S,S)->Boolean`xEntireRing&(S)``0
oassociates?`2`n`(S,S)->Boolean`xField&(S)``0
oassociates?`2`x`(_$,_$)->Boolean`cEntireRing``263594
oassociative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``263725
oassociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``263805
oassociatorDependence`0`n`()->List(Vector(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``263885
oassociatorDependence`0`x`()->List(Vector(R))`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`264234
oassociator`3`n`(S,S,S)->S`xNonAssociativeRng&(S)``0
oassociator`3`x`(_$,_$,_$)->_$`cNonAssociativeRng``264583
oatType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``264653
oatan1`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``0
oatanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``264728
oatan`1`n`(F)->F`pElementaryFunction(R,F)``264817
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)``264888
oatan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``264960
oatan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``265032
oatan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``265106
oatan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``265182
oatan`1`x`(_$)->_$`cArcTrigonometricFunctionCategory``265251
oatan`2`x`(_$,_$)->_$`dDoubleFloat``265670
oatan`2`x`(_$,_$)->_$`dFloat``265757
oatanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``265844
oatanh`1`n`(F)->F`pElementaryFunction(R,F)``265935
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)``266018
oatanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``266111
oatanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``266204
oatanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``266294
oatanh`1`x`(_$)->_$`cArcHyperbolicFunctionCategory``266386
oatom?`1`n`(OutputForm)->Boolean`pOutputFormTools``266457
oatom?`1`n`(_$)->Boolean`dILogic``266546
oatom?`1`n`(_$)->Boolean`dLambda(UT)``266672
oatom?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``266825
oatom?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``266951
oatom?`1`n`(_$)->Boolean`dSKICombinators(UT)``267077
oatom?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``267203
oatoms`1`n`(_$)->PatternMatchResult(R,S)`dPatternMatchListResult(R,S,L)``267269
oatrapezoidal`8`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``267362
oaugment`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
oaugment`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268177
oaugment`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268279
oaugment`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268459
oaugment`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``268559
oautoReduce`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oautoReduce`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``268991
oautoReduced?`2`n`(S,(P,List(P))->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oautoReduced?`2`x`(_$,(P,List(P))->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``269140
oaxesColorDefault`0`x`()->Palette`pViewDefaultsPackage``269315
oaxesColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``269404
oaxes`2`x`(_$,String)->Void`dThreeDimensionalViewport``269515
oaxes`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``269747
oaxes`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``269998
obackOldPos`1`x`(Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``270262
oback`1`x`(_$)->S`cQueueAggregate(S)``270504
obadNum`1`n`(UP)->Record(den:Integer,gcdnum:Integer)`pPointsOfFiniteOrderTools(UP,UPUP)``270652
obadNum`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``270690
obadValues`1`n`(Pattern(R))->List(D)`pPatternFunctions1(R,D)``270728
obalancedBinaryTree`2`x`(NonNegativeInteger,S)->_$`dBalancedBinaryTree(S)``270860
obalancedFactorisation`2`n`(UP,List(UP))->Factored(UP)`pBalancedFactorisation(R,UP)``270978
obalancedFactorisation`2`n`(UP,UP)->Factored(UP)`pBalancedFactorisation(R,UP)``271168
obandMatrix`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`271333
obandMatrix`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`271565
oband`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``271797
oband`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``271873
obandedHessian`3`n`(F,FLAS,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``271955
obandedJacobian`4`n`(FLAF,FLAS,NonNegativeInteger,NonNegativeInteger)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``272538
obaseRDEsys`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(List(Fraction(UP)),"failed")`pTranscendentalRischDESystem(F,UP)``273268
obase`0`n`()->PositiveInteger`dMachineFloat``273470
obase`0`x`()->PositiveInteger`cFloatingPointSystem``273521
obase`0`x`()->_$`cIntegerNumberSystem``273611
obase`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``273699
obase`1`x`(_$)->List(S)`dPermutationGroup(S)``273760
obasicSet`2`n`(List(P),(P,P)->Boolean)->Union(Record(bas:S,top:List(P)),"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
obasicSet`2`x`(List(P),(P,P)->Boolean)->Union(Record(bas:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``273822
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:_$,top:List(P)),"failed")`cTriangularSetCategory(R,E,V,P)``274148
obasisOfCenter`0`x`()->List(A)`pAlgebraPackage(R,A)``274335
obasisOfCentroid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``274596
obasisOfCommutingElements`0`x`()->List(A)`pAlgebraPackage(R,A)``274755
obasisOfLeftAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``274924
obasisOfLeftNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275048
obasisOfLeftNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``275228
obasisOfMiddleNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275409
obasisOfNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275591
obasisOfRightAnnihilator`1`x`(A)->List(A)`pAlgebraPackage(R,A)``275819
obasisOfRightNucleus`0`x`()->List(A)`pAlgebraPackage(R,A)``275944
obasisOfRightNucloid`0`x`()->List(Matrix(R))`pAlgebraPackage(R,A)``276125
obasis`0`n`()->Vector(S)`xMonogenicAlgebra&(S,R,UP)``0
obasis`0`n`()->Vector(S)`xOctonionCategory&(S,R)``0
obasis`0`n`()->Vector(_$)`cFramedModule(R)``276308
obasis`0`x`()->Vector(_$)`cFiniteAlgebraicExtensionField(F)``276371
obasis`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``276447
obasis`1`n`(PositiveInteger)->Vector(Vector(GF))`pInnerNormalBasisFieldFunctions(GF)``276545
obasis`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``276639
obasis`1`n`(_$)->Vector(A)`dFractionalIdealAsModule(R,F,UP,A,ibasis)``276723
obasis`1`x`(PositiveInteger)->Vector(_$)`cFiniteAlgebraicExtensionField(F)``276801
obasis`1`x`(Vector(A))->Vector(A)`pAlgebraPackage(R,A)`has(R,EuclideanDomain)`276892
obasis`2`x`(NonNegativeInteger,NonNegativeInteger)->Vector(List(Integer))`pHallBasis``276964
obat1`1`n`(List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``277276
obat`1`n`(Tableau(List(S)))->List(List(S))`pTableauxBumpers(S)``277383
obeauzamyBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``277433
obelong?`1`n`(BasicOperator)->Boolean`pAlgebraicFunction(R,F)``277533
obelong?`1`n`(BasicOperator)->Boolean`pCombinatorialFunction(R,F)``277677
obelong?`1`n`(BasicOperator)->Boolean`pElementaryFunction(R,F)``277760
obelong?`1`n`(BasicOperator)->Boolean`pFunctionalSpecialFunction(R,F)``277840
obelong?`1`n`(BasicOperator)->Boolean`pLiouvillianFunction(R,F)``277926
obelong?`1`n`(BasicOperator)->Boolean`xExpressionSpace&(S)``277987
obelong?`1`n`(BasicOperator)->Boolean`xFunctionSpace&(S,R)``0
obelong?`1`x`(BasicOperator)->Boolean`cExpressionSpace``278074
obernoulliB`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`278161
obernoulliDistribution01`1`x`(R)->Distribution(R)`pDistributionPackage(R)``278260
obernoulli`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``278354
obernoulli`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``278678
obesselI`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``278837
obesselI`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``278929
obesselI`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``279144
obesselI`2`x`(_$,_$)->_$`cSpecialFunctionCategory``279359
obesselJ`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``279440
obesselJ`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``279532
obesselJ`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``279738
obesselJ`2`x`(_$,_$)->_$`cSpecialFunctionCategory``279944
obesselK`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``280016
obesselK`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``280108
obesselK`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``280507
obesselK`2`x`(_$,_$)->_$`cSpecialFunctionCategory``280907
obesselY`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``280989
obesselY`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``281081
obesselY`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``281493
obesselY`2`x`(_$,_$)->_$`cSpecialFunctionCategory``281895
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`281968
obezoutDiscriminant`1`n`(UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obezoutMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``282104
obezoutMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`282212
obezoutResultant`2`n`(UP,UP)->R`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
obiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``282367
obinaryFunction`1`n`(Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``282758
obinarySearchTree`1`x`(List(S))->_$`dBinarySearchTree(S)``282810
obinaryTournament`1`x`(List(S))->_$`dBinaryTournament(S)``282910
obinaryTree`1`x`(S)->_$`dBinaryTree(S)``283028
obinaryTree`3`x`(_$,S,_$)->_$`dBinaryTree(S)``283133
obinary`1`x`(Fraction(Integer))->_$`dBinaryExpansion``283267
obinary`2`n`(_$,List(_$))->_$`dInputForm``283341
obind`1`n`(_$)->_$`dLambda(UT)``283457
obinomThmExpt`3`n`(S,S,NonNegativeInteger)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
obinomThmExpt`3`x`(_$,_$,NonNegativeInteger)->_$`cFiniteAbelianMonoidRing(R,E)`has(_$,CommutativeRing)`283548
obinomial`2`n`(F,F)->F`pCombinatorialFunction(R,F)``283651
obinomial`2`n`(Integer,Fraction(Integer))->()->Integer`pRandomIntegerDistributions``283828
obinomial`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
obinomial`2`n`(_$,_$)->_$`dOutputForm``283873
obinomial`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``283974
obinomial`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``284182
obipolarCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``284382
obipolar`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``284675
obirth`1`n`(_$)->_$`dSubSpace(n,R)``284917
obit?`2`n`(S,S)->Boolean`xIntegerNumberSystem&(S)``0
obit?`2`x`(_$,_$)->Boolean`cIntegerNumberSystem``284954
obitCoef`2`n`(Integer,Integer)->Integer`pIntegerBits``285052
obitLength`1`n`(Integer)->Integer`pIntegerBits``285130
obitTruth`2`n`(Integer,Integer)->Boolean`pIntegerBits``285211
obits`0`x`()->PositiveInteger`cFloatingPointSystem``285306
obits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`285371
obits`2`x`(NonNegativeInteger,Boolean)->_$`dBits``285464
obivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``285537
obivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``285635
obivariateSLPEBR`3`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S),VarSet)->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``285796
oblankSeparate`1`n`(List(_$))->_$`dOutputForm``285964
oblockConcat`1`n`(List(List(S)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockConcat`1`x`(List(List(_$)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``286059
oblockSplit`3`n`(M,List(NonNegativeInteger),PositiveInteger)->List(List(M))`pMatrixManipulation(R,Row,Col,M)``286206
oblockSplit`3`n`(M,PositiveInteger,List(NonNegativeInteger))->List(List(M))`pMatrixManipulation(R,Row,Col,M)``286327
oblockSplit`3`n`(S,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`n`(S,PositiveInteger,PositiveInteger)->List(List(S))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oblockSplit`3`x`(_$,List(NonNegativeInteger),List(NonNegativeInteger))->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``286448
oblockSplit`3`x`(_$,PositiveInteger,PositiveInteger)->List(List(_$))`cTwoDimensionalArrayCategory(R,Row,Col)``286825
oblock`1`n`(List(_$))->_$`dFortranCode``287074
oblue`0`x`()->_$`dColor``287164
obombieriNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``287239
obombieriNorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``287323
oboolWordPermute`2`n`(NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``287417
oboolWordPermute`3`n`(List(List(Boolean)),NonNegativeInteger,NonNegativeInteger)->List(List(Boolean))`dOrientedFacet``287550
obooleanConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``287591
obooleanCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``287707
obooleanCumulantFromJacobi`3`x`(Integer,Sequence(R),Sequence(R))->R`dDistribution(R)``287830
obooleanCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``287983
obooleanCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``288091
obottom`1`n`(Stream(List(R)))->Stream(R)`pPathArrayPackage(R)``288197
obottom`1`x`(_$)->S`cDequeueAggregate(S)``288262
oboundOfCauchy`1`x`(ThePols)->TheField`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`288343
obound`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``288403
oboundary`1`n`(_$)->List(_$)`dCubicalFacet``288622
oboundary`1`n`(_$)->List(_$)`dOrientedFacet``288691
oboundary`1`n`(_$)->_$`dFiniteCubicalComplex(VS)``288760
oboundary`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``288978
oboundary`2`n`(_$,DoubleFloat)->SBoundary(PT)`dScene(PT)``289177
oboxBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``290076
obox`1`n`(List(S))->S`xExpressionSpace&(S)``0
obox`1`n`(S)->S`xExpressionSpace&(S)``0
obox`1`n`(_$)->_$`dOutputForm``290300
obox`1`x`(List(_$))->_$`cExpressionSpace``290349
obox`1`x`(_$)->_$`cExpressionSpace``290666
obrace`0`n`()->A`xFiniteSetAggregate&(A,S)``0
obrace`0`x`()->_$`cSetAggregate(S)``290903
obrace`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
obrace`1`n`(List(_$))->_$`dOutputForm``291045
obrace`1`n`(_$)->_$`dOutputForm``291176
obrace`1`x`(List(S))->_$`cSetAggregate(S)``291263
obracket`1`n`(List(_$))->_$`dOutputForm``291448
obracket`1`n`(_$)->_$`dOutputForm``291582
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)``291663
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)``291800
obranchPoint?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``291937
obranchPoint?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``292013
obranchPointAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``292092
obright`1`x`(Color)->_$`dPalette``292177
obright`1`x`(List(String))->List(String)`pDisplayPackage``292271
obright`1`x`(String)->List(String)`pDisplayPackage``292373
obrillhartIrreducible?`1`n`(UP)->Boolean`pBrillhartTests(UP)``292462
obrillhartIrreducible?`2`n`(UP,Boolean)->Boolean`pBrillhartTests(UP)``292622
obrillhartTrials`0`n`()->NonNegativeInteger`pBrillhartTests(UP)``292919
obrillhartTrials`1`n`(NonNegativeInteger)->NonNegativeInteger`pBrillhartTests(UP)``293015
obringDown`1`n`(F)->Fraction(Integer)`pFunctionSpaceReduce(R,F)``293152
obringDown`2`n`(F,Kernel(F))->SparseUnivariatePolynomial(Fraction(Integer))`pFunctionSpaceReduce(R,F)``293288
obsolve`5`n`(Matrix(GR),List(Fraction(Polynomial(R))),NonNegativeInteger,String,Integer)->Record(rgl:List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),rgsz:Integer)`pParametricLinearEquations(R,Var,Expon,GR)``293446
obtwFact`4`n`(UP,Boolean,Set(NonNegativeInteger),NonNegativeInteger)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``293714
obubbleSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`294247
obubbleSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``294290
obuild`3`n`(R,IS,E)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``294338
obumprow`3`n`((S,S)->Boolean,List(S),List(List(S)))->Record(fs:Boolean,sd:List(S),td:List(List(S)))`pTableauxBumpers(S)``294385
obumptab1`2`n`(List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``294556
obumptab`3`n`((S,S)->Boolean,List(S),List(List(List(S))))->List(List(List(S)))`pTableauxBumpers(S)``294700
ocAcos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`294847
ocAcosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`294973
ocAcot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295116
ocAcoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295245
ocAcsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295391
ocAcsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295519
ocAsec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295664
ocAsech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295790
ocAsin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`295933
ocAsinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296057
ocAtan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296198
ocAtanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296325
ocCos`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296469
ocCosh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296591
ocCot`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296725
ocCoth`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296850
ocCsc`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`296987
ocCsch`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297111
ocExp`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297247
ocLog`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297374
ocPower`2`n`(_$,Coef)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297499
ocRationalPower`2`n`(_$,Fraction(Integer))->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297644
ocSec`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297752
ocSech`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`297874
ocSin`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298008
ocSinh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298128
ocTan`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298260
ocTanh`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`298383
ocalcRanges`1`n`(List(List(Point(DoubleFloat))))->List(Segment(DoubleFloat))`pPlotTools``298518
ocall`1`n`(String)->_$`dFortranCode``298560
ocanonicalBasis`1`n`(NonNegativeInteger)->_$`dVectorSpaceBasis(R)``298635
ocanonicalIfCan`2`n`(MPT,MD)->Union(MPT,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``298736
ocanonicalMoebiusFunction`1`n`(List(P))->_$`dGeneralizedFiniteMoebiusFunction(P,R)``298842
ocap`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``298921
ocar`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``299036
ocardinality`1`n`(A)->NonNegativeInteger`xFiniteSetAggregate&(A,S)``0
ocardinality`1`x`(_$)->NonNegativeInteger`cFiniteSetAggregate(S)``299092
ocarmichaelLambda`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``299200
ocartesianPower`2`n`(List(T),NonNegativeInteger)->List(List(T))`pListPackage(T)``299431
ocartesian`1`n`(List(List(T)))->List(List(T))`pListPackage(T)``299529
ocartesian`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``299657
ocartesian`2`n`(_$,_$)->DirectedGraph(Product(S,S))`dDirectedGraph(S)``299739
ocartesian`2`n`(_$,_$)->MultifunctionGraph(Product(S,S))`dMultifunctionGraph(S)``300209
ocartesian`2`n`(_$,_$)->UndirectedGraph(Product(S,S))`dUndirectedGraph(S)``300331
ocartesian`2`n`(_$,_$)->WeightedGraph(Product(S,S),W)`dWeightedGraph(S,W)``300756
ocatalan`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``301181
ocdr`1`x`(_$)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``301245
oceiling`1`n`(S)->S`xRealNumberSystem&(S)``0
oceiling`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`301316
oceiling`1`x`(_$)->_$`cRealNumberSystem``301395
ocenter`1`n`(_$)->_$`dOutputForm``301458
ocenter`1`x`(_$)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``301520
ocenter`2`n`(_$,Integer)->_$`dOutputForm``301607
ocenter`3`x`(List(String),Integer,String)->List(String)`pDisplayPackage``301690
ocenter`3`x`(String,Integer,String)->String`pDisplayPackage``301976
ocertainlySubVariety?`2`n`(List(P),List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``302295
ochainComplex`1`n`(List(Matrix(Integer)))->_$`dChainComplex``302502
ochainSubResultants`2`n`(polR,polR)->List(polR)`pPseudoRemainderSequence(R,polR)``302521
ochain`1`n`(_$)->ChainComplex`dDeltaComplex(VS)``302632
ochain`1`n`(_$)->ChainComplex`dFiniteCubicalComplex(VS)``302715
ochain`1`n`(_$)->ChainComplex`dFiniteSimplicialComplex(VS)``302798
ochangeBase`3`n`(Integer,Integer,PositiveInteger)->_$`dMachineFloat``302994
ochangeBase`4`n`(Matrix(K),Matrix(K),Automorphism(K),(K)->K)->Matrix(K)`pPseudoLinearNormalForm(K)``303055
ochangeExprLength`1`n`(Integer)->Void`pFortranCodeTools``303212
ochangeVar`2`n`(L,Fraction(UP))->L`pPrimitiveRatRicDE(F,UP,L,LQ)``303294
ochangeVar`2`n`(L,UP)->L`pPrimitiveRatRicDE(F,UP,L,LQ)``303400
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``303506
ochangeWeightLevel`1`n`(NonNegativeInteger)->Void`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``303651
ocharClass`1`x`(List(Character))->_$`dCharacterClass``303791
ocharClass`1`x`(String)->_$`dCharacterClass``303910
ochar`1`x`(Integer)->_$`dCharacter``304031
ochar`1`x`(String)->_$`dCharacter``304171
ocharacter?`1`n`(_$)->Boolean`dFortranScalarType``304252
ocharacteristicPolynomial`1`n`(E)->PolR`pCharacteristicPolynomialInMonogenicalAlgebra(R,PolR,E)``304348
ocharacteristicPolynomial`1`n`(Matrix(F))->SparseUnivariatePolynomial(F)`pInnerEigenPackage(F)``304457
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)``304560
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Integer)))->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``304741
ocharacteristicPolynomial`1`x`(Matrix(Fraction(Polynomial(R))))->Polynomial(R)`pEigenPackage(R)``304914
ocharacteristicPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)``305074
ocharacteristicPolynomial`2`x`(Matrix(Complex(Fraction(Integer))),Symbol)->Polynomial(Complex(Fraction(Integer)))`pNumericComplexEigenPackage(Par)``305223
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Integer)),Symbol)->Polynomial(Fraction(Integer))`pNumericRealEigenPackage(Par)``305402
ocharacteristicPolynomial`2`x`(Matrix(Fraction(Polynomial(R))),Symbol)->Polynomial(R)`pEigenPackage(R)``305602
ocharacteristicPolynomial`2`x`(Matrix(R),R)->R`pCharacteristicPolynomialPackage(R)``305754
ocharacteristicSerie`1`x`(List(P))->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``306042
ocharacteristicSerie`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->List(_$)`dWuWenTsunTriangularSet(R,E,V,P)``306172
ocharacteristicSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``306551
ocharacteristicSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``306677
ocharacteristic`0`n`()->NonNegativeInteger`xComplexCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xDirectProductCategory&(S,dim,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xFunctionSpace&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xIntegerNumberSystem&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
ocharacteristic`0`n`()->NonNegativeInteger`xOctonionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuaternionCategory&(S,R)``0
ocharacteristic`0`n`()->NonNegativeInteger`xQuotientFieldCategory&(A,S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealClosedField&(S)``0
ocharacteristic`0`n`()->NonNegativeInteger`xRealNumberSystem&(S)``0
ocharacteristic`0`x`()->NonNegativeInteger`cNonAssociativeRing``307369
ocharlierC`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``307440
ocharlierC`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``307504
ocharpol`1`n`(Matrix(K))->SparseUnivariatePolynomial(K)`pInnerNumericEigenPackage(K,F,Par)``307568
ocharthRoot`1`n`(S)->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->S`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xFiniteFieldCategory&(S)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
ocharthRoot`1`n`(S)->Union(S,"failed")`xPolynomialFactorizationExplicit&(S)``0
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cCharacteristicNonZero``307815
ocharthRoot`1`x`(_$)->Union(_$,"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`307933
ocharthRoot`1`x`(_$)->_$`cFiniteFieldCategory``308054
ochebyshevT`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``308180
ochebyshevT`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``308472
ochebyshevU`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``308664
ochebyshevU`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``308951
ocheckExtraValues`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``309138
ocheckExtraValues`1`x`(Boolean)->_$`dGuessOption``309293
ocheckForZero`4`n`(SparseUnivariatePolynomial(F),OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``309486
ocheckForZero`5`n`(Polynomial(R),Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(Boolean,"failed")`pDefiniteIntegrationTools(R,F)``309747
ocheckOptions`1`n`(List(GuessOption))->Void`dGuessOptionFunctions0``310026
ocheckRur`2`n`(TS,List(TS))->Boolean`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``310134
ocheckType`1`n`(String)->String`pFortranCodeTools``310256
ocheck_sol1a`6`n`(Vector(U32Vector),List(U32Vector),(List(U32Vector),Integer,Integer)->Vector(U32Vector),Integer,Integer,Integer)->U32Vector`pModularHermitePade``310283
ocheck`1`n`(List(GuessOption))->Union("skip","MonteCarlo","deterministic")`dGuessOptionFunctions0``310344
ocheck`1`x`(Union("skip","MonteCarlo","deterministic"))->_$`dGuessOption``310609
ocheck`1`x`(_$)->_$`cThreeSpaceCategory(R)``310897
ocheck`2`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)),List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Boolean`pMultivariateSquareFree(E,OV,R,P)``311023
ochiSquare1`1`n`(NonNegativeInteger)->Float`pRandomFloatDistributions``311059
ochiSquare`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``311101
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,BasicType)`311142
ochild`2`n`(_$,NonNegativeInteger)->_$`dSubSpace(n,R)``311223
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)``311265
ochildren`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``311305
ochineseRemainder`2`x`(List(List(R)),List(R))->List(R)`pCRApackage(R)``311385
ochineseRemainder`2`x`(List(R),List(R))->R`pCRApackage(R)``311630
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)``311838
ochineseRemainder`4`x`(Integer,Integer,Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``311898
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``312102
ochinese_update`3`n`(U32Vector,Integer,_$)->Void`dVectorModularReconstructor``312190
ochkLibraryError`0`n`()->Void`pUnittestCount``312310
ochoosemon`2`n`(DistributedMultivariatePolynomial(lv,F),List(DistributedMultivariatePolynomial(lv,F)))->DistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``312389
ochvar`2`n`(List(UPUP),UPUP)->Record(func:List(UPUP),poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``312427
ochvar`2`n`(UPUP,UPUP)->Record(func:UPUP,poly:UPUP,c1:Fraction(UP),c2:Fraction(UP),deg:NonNegativeInteger)`pChangeOfVariable(F,UP,UPUP)``312522
ocircle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``312931
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`cJetBundleCategory``312997
oclass`1`n`(List(NonNegativeInteger))->NonNegativeInteger`xJetBundleCategory&(S)``313111
oclass`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oclass`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``313225
oclass`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``313345
oclassicalConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``313456
oclassicalCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``313576
oclassicalCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``313688
oclearCache`0`n`()->Void`pSortedCache(S)``313793
oclearDenominator`1`n`(B)->A`pInnerCommonDenominator(R,Q,A,B)``313839
oclearDenominator`1`n`(P)->P`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``314023
oclearDenominator`1`x`(A)->A`pCommonDenominator(R,Q,A)``314172
oclearDenominator`1`x`(Matrix(Q))->Matrix(R)`pMatrixCommonDenominator(R,Q)``314356
oclearDenominator`1`x`(UP)->UP`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
oclearFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``314501
oclearTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``314573
oclearTheSymbolTable`0`n`()->Void`dTheSymbolTable``314667
oclearTheSymbolTable`1`n`(Symbol)->Void`dTheSymbolTable``314736
oclear_used_intrinsics`0`n`()->Void`pFortranCodeTools``314816
oclipBoolean`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``314884
oclipParametric`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``315101
oclipParametric`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``315470
oclipPointsDefault`0`x`()->Boolean`pGraphicsDefaults``315873
oclipPointsDefault`1`x`(Boolean)->Boolean`pGraphicsDefaults``315967
oclipSurface`2`x`(_$,String)->Void`dThreeDimensionalViewport``316132
oclipWithRanges`5`n`(List(List(Point(DoubleFloat))),DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``316438
oclip`1`n`(List(List(Point(DoubleFloat))))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``316796
oclip`1`n`(List(Point(DoubleFloat)))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``317071
oclip`1`n`(Plot)->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``317352
oclip`1`x`(Boolean)->_$`dDrawOption``317636
oclip`1`x`(List(Segment(Float)))->_$`dDrawOption``317800
oclip`3`n`(Plot,Fraction(Integer),Fraction(Integer))->Record(brans:List(List(Point(DoubleFloat))),xValues:Segment(DoubleFloat),yValues:Segment(DoubleFloat))`pTwoDimensionalPlotClipping``317958
oclose!`1`x`(_$)->_$`cFileCategory(Name,S)``318273
oclose!`1`x`(_$)->_$`dLibrary``318351
ocloseComponent`3`n`(_$,List(NonNegativeInteger),Boolean)->_$`dSubSpace(n,R)``318432
oclose`1`n`(_$)->Void`dTwoDimensionalViewport``318910
oclose`1`x`(_$)->Void`dThreeDimensionalViewport``319114
oclose`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``319322
oclosed?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``319364
oclosed?`1`n`(_$)->Boolean`dTubePlot(Curve)``319403
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``319482
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``319612
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``319734
oclosedCartesian`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``319778
oclosedCurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``319822
oclosedCurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``320058
oclosedCurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``320321
oclosedCurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``320667
oclosedCurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``321216
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dDirectedGraph(S)``321496
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dFunctionGraph(S)``321620
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dMultifunctionGraph(S)``321746
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dUndirectedGraph(S)``321787
oclosedTensor`3`n`(_$,_$,(S,S)->S)->_$`dWeightedGraph(S,W)``321828
ocmult`1`n`(List(SparseMultivariatePolynomial(R0,Kernel(F))))->SparseMultivariatePolynomial(R0,Kernel(F))`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``321869
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``321924
ocoAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``322040
ocoChainComplex`1`n`(List(Matrix(Integer)))->_$`dCoChainComplex(VS)``322156
ocoChain`1`n`(_$)->CoChainComplex(VS)`dDeltaComplex(VS)``322175
ocoChain`1`n`(_$)->CoChainComplex(VS)`dFiniteSimplicialComplex(VS)``322258
ocoHeight`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
ocoHeight`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)`has(V,Finite)`322462
ocoHomology`1`n`(_$)->List(Homology)`dCoChainComplex(VS)``322533
ocoHomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``322581
ocoHomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``322631
ocoboundary`3`n`(_$,NonNegativeInteger,List(VS))->List(VS)`dCoChainComplex(VS)``322783
ocode`1`n`(_$)->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:_$),commonBranch:Record(name:Symbol,contents:List(Symbol)),printBranch:List(OutputForm))`dFortranCode``322851
ocoefChoose`2`n`(Integer,Factored(P))->P`pMultivariateSquareFree(E,OV,R,P)``322948
ocoef`2`n`(_$,E)->R`dXPolynomialRing(R,E)``322989
ocoef`2`x`(XRecursivePolynomial(VarSet,R),_$)->R`cFreeLieAlgebra(VarSet,R)``323108
ocoef`2`x`(_$,FreeMonoid(vl))->R`cXFreeAlgebra(vl,R)``323245
ocoef`2`x`(_$,_$)->R`cXFreeAlgebra(vl,R)``323330
ocoefficientSet`1`n`(SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
ocoefficient`2`n`(S,E)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`2`n`(S,IndexedExponents(Var))->Coef`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`2`n`(_$,Integer)->R`dLaurentPolynomial(R,UP)``323463
ocoefficient`2`n`(_$,JB)->D`dJetDifferential(JB,D)``323511
ocoefficient`2`n`(_$,JB)->D`dJetVectorField(JB,D)``323619
ocoefficient`2`n`(_$,NonNegativeInteger)->SMP`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``323714
ocoefficient`2`n`(_$,_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``323790
ocoefficient`2`n`(_$,_$)->R`dAntiSymm(R,lVar)``323984
ocoefficient`2`x`(S,_$)->E`cFreeAbelianMonoidCategory(S,E)``324206
ocoefficient`2`x`(_$,E)->R`cAbelianMonoidRing(R,E)``324365
ocoefficient`2`x`(_$,List(PositiveInteger))->K`dCliffordAlgebra(n,K,bLin)``324535
ocoefficient`2`x`(_$,M)->R`cMonoidRingCategory(R,M)``324661
ocoefficient`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`dTaylorSeries(Coef)``324790
ocoefficient`2`x`(_$,S)->R`cFreeModuleCategory(R,S)``324866
ocoefficient`3`n`(S,List(Var),List(NonNegativeInteger))->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,List(VarSet),List(NonNegativeInteger))->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(S,Var,NonNegativeInteger)->S`xMultivariateTaylorSeriesCategory&(S,Coef,Var)``0
ocoefficient`3`n`(S,VarSet,NonNegativeInteger)->S`xPolynomialCategory&(S,R,E,VarSet)``0
ocoefficient`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``324954
ocoefficient`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``325171
ocoefficient`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``325331
ocoefficient`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``325481
ocoefficients`1`n`(S)->List(R)`xFiniteAbelianMonoidRing&(S,R,E)``0
ocoefficients`1`n`(S)->List(R)`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoefficients`1`n`(_$)->List(D)`dJetDifferential(JB,D)``325571
ocoefficients`1`n`(_$)->List(D)`dJetVectorField(JB,D)``325640
ocoefficients`1`n`(_$)->Stream(Coef)`dInnerTaylorSeries(Coef)``325707
ocoefficients`1`n`(_$)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``326048
ocoefficients`1`x`(_$)->List(R)`cFiniteAbelianMonoidRing(R,E)``326204
ocoefficients`1`x`(_$)->List(R)`cFreeModuleCategory(R,S)``326298
ocoefficients`1`x`(_$)->List(R)`cMonoidRingCategory(R,M)``326374
ocoefficients`1`x`(_$)->Stream(Coef)`cUnivariateTaylorSeriesCategory(Coef)``326437
ocoeffs0`3`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol),List(SparseMultivariatePolynomial(Integer,Symbol)))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``326595
ocoeffs1`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->List(SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``326658
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`AND(has(S,Finite),not(has(S,IntegerNumberSystem)))`326862
ocoerceImages`1`x`(List(S))->_$`dPermutation(S)`has(S,IntegerNumberSystem)`327183
ocoerceL`1`n`(OutputForm)->String`dHTMLFormat``327504
ocoerceL`1`x`(OutputForm)->String`dMathMLFormat``327631
ocoerceL`1`x`(OutputForm)->String`dTexmacsFormat``327760
ocoerceListOfPairs`1`x`(List(List(S)))->_$`dPermutation(S)``327890
ocoerceP`1`n`(Vector(Matrix(R)))->Vector(Matrix(Polynomial(R)))`pCoerceVectorMatrixPackage(R)``328184
ocoercePreimagesImages`1`x`(List(List(S)))->_$`dPermutation(S)``328317
ocoerceS`1`n`(OutputForm)->String`dHTMLFormat``328531
ocoerceS`1`x`(OutputForm)->String`dMathMLFormat``328649
ocoerceToType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``328769
ocoerce`1`n`((PositiveInteger)->Coef)->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xBinaryRecursiveAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDictionaryOperations&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
ocoerce`1`n`(A)->OutputForm`xDifferentialVariableCategory&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteGraph&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xFiniteSetAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xHomogeneousAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xOneDimensionalArrayAggregate&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xPoset&(A,S)``0
ocoerce`1`n`(A)->OutputForm`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``328844
ocoerce`1`n`(Character)->S`xStringAggregate&(S)``0
ocoerce`1`n`(Coef)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(Col)->S`xMatrixCategory&(S,R,Row,Col)``0
ocoerce`1`n`(Complex(DoubleFloat))->_$`dSArgand``0
ocoerce`1`n`(Complex(Float))->_$`dMachineComplex``328931
ocoerce`1`n`(Complex(Integer))->_$`dMachineComplex``328997
ocoerce`1`n`(Complex(MachineFloat))->_$`dMachineComplex``329063
ocoerce`1`n`(Complex(MachineInteger))->_$`dMachineComplex``329129
ocoerce`1`n`(D)->_$`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(D)->_$`dJetLazyFunction(JB,D)``329195
ocoerce`1`n`(E)->_$`dXPolynomialRing(R,E)``329350
ocoerce`1`n`(Equation(Expression(Complex(Float))))->_$`dFortranProgram(name,returnType,arguments,symbols)``329393
ocoerce`1`n`(Equation(Expression(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329434
ocoerce`1`n`(Equation(Expression(Integer)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329475
ocoerce`1`n`(Equation(Expression(MachineComplex)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329516
ocoerce`1`n`(Equation(Expression(MachineFloat)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329557
ocoerce`1`n`(Equation(Expression(MachineInteger)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329598
ocoerce`1`n`(Expression(Complex(Float)))->_$`dFortranProgram(name,returnType,arguments,symbols)``329639
ocoerce`1`n`(Expression(Float))->_$`dFortranProgram(name,returnType,arguments,symbols)``329679
ocoerce`1`n`(Expression(Integer))->Expression(_$)`dMachineInteger``329719
ocoerce`1`n`(Expression(Integer))->_$`dFortranProgram(name,returnType,arguments,symbols)``329792
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(Expression(Integer))->_$`dJetBundleXExpression(JB)``0
ocoerce`1`n`(Expression(MachineComplex))->_$`dFortranProgram(name,returnType,arguments,symbols)``329832
ocoerce`1`n`(Expression(MachineFloat))->_$`dFortranProgram(name,returnType,arguments,symbols)``329872
ocoerce`1`n`(Expression(MachineInteger))->_$`dFortranProgram(name,returnType,arguments,symbols)``329912
ocoerce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``329952
ocoerce`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``330039
ocoerce`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``330081
ocoerce`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``330123
ocoerce`1`n`(FortranCode)->_$`cFortranFunctionCategory``330165
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixCategory``330282
ocoerce`1`n`(FortranCode)->_$`cFortranMatrixFunctionCategory``330399
ocoerce`1`n`(FortranCode)->_$`cFortranVectorCategory``330516
ocoerce`1`n`(FortranCode)->_$`cFortranVectorFunctionCategory``330633
ocoerce`1`n`(FortranCode)->_$`dFortranProgram(name,returnType,arguments,symbols)``330750
ocoerce`1`n`(FortranScalarType)->_$`dFortranType``330791
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``330853
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`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`(JB)->_$`cJetBundleFunctionCategory(JB)``330995
ocoerce`1`n`(Kernel(S))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Lambda(UT))->SKICombinators(UT)`pcompUtil(UT)``331077
ocoerce`1`n`(LatticeMeetOfJoins)->_$`dLatticeJoinOfMeets``331803
ocoerce`1`n`(LiePolynomial(VarSet,R))->_$`dXPBWPolynomial(VarSet,R)``331862
ocoerce`1`n`(List(FortranCode))->_$`cFortranFunctionCategory``331904
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixCategory``332026
ocoerce`1`n`(List(FortranCode))->_$`cFortranMatrixFunctionCategory``332148
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorCategory``332270
ocoerce`1`n`(List(FortranCode))->_$`cFortranVectorFunctionCategory``332392
ocoerce`1`n`(List(FortranCode))->_$`dFortranProgram(name,returnType,arguments,symbols)``332514
ocoerce`1`n`(List(Integer))->_$`dExtAlgBasis``332556
ocoerce`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``332827
ocoerce`1`n`(List(S))->_$`dDirectedGraph(S)``333339
ocoerce`1`n`(List(_$))->SparseEchelonMatrix(JB,D)`dJetBundleLinearFunction(JB,D)``0
ocoerce`1`n`(MachineInteger)->_$`dMachineFloat``333374
ocoerce`1`n`(Matrix(MachineFloat))->_$`cFortranMatrixCategory``333446
ocoerce`1`n`(OutputForm)->String`dHTMLFormat``333523
ocoerce`1`n`(P)->_$`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``333610
ocoerce`1`n`(PermutationGroup(S))->_$`dDirectedGraph(S)``333709
ocoerce`1`n`(PermutationGroup(S))->_$`dMultifunctionGraph(S)``333756
ocoerce`1`n`(Polynomial(Fraction(R)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Polynomial(R))->_$`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``333848
ocoerce`1`n`(PrimitiveArray(PrimitiveArray(PrimitiveArray(R))))->_$`dThreeDimensionalMatrix(R)``333961
ocoerce`1`n`(PrimitiveArray(S))->_$`dTuple(S)``334090
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`(Record(index:IS,exponent:E))->_$`dModuleMonomial(IS,E,ff)``334151
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranFunctionCategory``334189
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixCategory``334381
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranMatrixFunctionCategory``334573
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorCategory``334765
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`cFortranVectorFunctionCategory``334957
ocoerce`1`n`(Record(localSymbols:SymbolTable,code:List(FortranCode)))->_$`dFortranProgram(name,returnType,arguments,symbols)``335149
ocoerce`1`n`(Rep)->_$`dModMonic(R,Rep)``335189
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)->Expression(Integer)`xJetBundleCategory&(S)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
ocoerce`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``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`xJetBundleCategory&(S)``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`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`xUnivariateSkewPolynomialCategory&(S,R)``0
ocoerce`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoerce`1`n`(S)->Vector(R)`xDirectProductCategory&(S,dim,R)``0
ocoerce`1`n`(S)->_$`cCoercibleFrom(S)``335227
ocoerce`1`n`(S)->_$`dMakeCachableSet(S)``335287
ocoerce`1`n`(SKICombinators(UT))->ILogic`pcompUtil(UT)``335356
ocoerce`1`n`(SKICombinators(UT))->Lambda(UT)`pcompUtil(UT)``335801
ocoerce`1`n`(SMP)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``336121
ocoerce`1`n`(SingletonAsOrderedSet)->S`xUnivariatePolynomialCategory&(S,R)``0
ocoerce`1`n`(SparseEchelonMatrix(JB,D))->List(_$)`dJetBundleLinearFunction(JB,D)``336203
ocoerce`1`n`(SparseMultivariatePolynomial(Expression(Integer),JB))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dInnerAlgebraicNumber``336251
ocoerce`1`n`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dJetBundleExpression(JB)``0
ocoerce`1`n`(SparseMultivariatePolynomial(R,Kernel(S)))->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Stream(Coef))->_$`dDirichletRing(Coef)``0
ocoerce`1`n`(Stream(R))->_$`cSequenceCategory(R)``336323
ocoerce`1`n`(String)->_$`dFortranScalarType``336368
ocoerce`1`n`(Symbol)->A`xQuotientFieldCategory&(A,S)``0
ocoerce`1`n`(Symbol)->S`xFunctionSpace&(S,R)``0
ocoerce`1`n`(Symbol)->_$`dFortranScalarType``336657
ocoerce`1`n`(Symbol)->_$`dJetBundle(IVar,DVar)``336922
ocoerce`1`n`(Symbol)->_$`dJetBundleSymAna(JB1,xi,eta)``337078
ocoerce`1`n`(Symbol)->_$`dSwitch``337152
ocoerce`1`n`(UnivariatePolynomial('x,Coef))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``337192
ocoerce`1`n`(UnivariatePolynomial(var,Coef))->_$`dUnivariateTaylorSeries(Coef,var,cen)``337330
ocoerce`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialExpansion(R,FE,var,cen)``337468
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)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``337577
ocoerce`1`n`(VarSet)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``337642
ocoerce`1`n`(Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``337682
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``337771
ocoerce`1`n`(Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``337860
ocoerce`1`n`(Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``337962
ocoerce`1`n`(Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``338051
ocoerce`1`n`(Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``338140
ocoerce`1`n`(Variable(x))->_$`dUnivariateSkewPolynomial(x,R,sigma,delta)``338242
ocoerce`1`n`(Vector(Fraction(Polynomial(R))))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``338305
ocoerce`1`n`(Vector(MachineFloat))->_$`cFortranVectorCategory``338479
ocoerce`1`n`(Vector(Matrix(R)))->Vector(Matrix(Fraction(Polynomial(R))))`pCoerceVectorMatrixPackage(R)``338556
ocoerce`1`n`(_$)->(PositiveInteger)->Coef`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->Complex(DoubleFloat)`dSArgand``0
ocoerce`1`n`(_$)->Complex(Float)`dMachineComplex``338697
ocoerce`1`n`(_$)->D`dJetLazyFunction(JB,D)``338762
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteCubicalComplex(VS)``338968
ocoerce`1`n`(_$)->DeltaComplex(VS)`dFiniteSimplicialComplex(VS)``339020
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleExpression(JB)``0
ocoerce`1`n`(_$)->Expression(Integer)`dJetBundleXExpression(JB)``0
ocoerce`1`n`(_$)->Expression(R)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``339075
ocoerce`1`n`(_$)->FiniteSimplicialComplex(VS)`dDeltaComplex(VS)``339115
ocoerce`1`n`(_$)->Float`dMachineFloat``339176
ocoerce`1`n`(_$)->FreeMagma(VarSet)`dLyndonWord(VarSet)``339246
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dFreeMagma(VarSet)``339349
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dLyndonWord(VarSet)``339477
ocoerce`1`n`(_$)->FreeMonoid(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``339581
ocoerce`1`n`(_$)->LatticeMeetOfJoins`dLatticeJoinOfMeets``339732
ocoerce`1`n`(_$)->List(Integer)`dPartition``339791
ocoerce`1`n`(_$)->List(String)`dXmlElement``339859
ocoerce`1`n`(_$)->List(Vector(R))`dVectorSpaceBasis(R)``340057
ocoerce`1`n`(_$)->Matrix(D)`dSparseEchelonMatrix(C,D)``340120
ocoerce`1`n`(_$)->Matrix(R)`dRectangularMatrix(m,n,R)``340197
ocoerce`1`n`(_$)->Matrix(R)`dSquareMatrix(ndim,R)``340311
ocoerce`1`n`(_$)->OutputForm`cSPointCategory``340424
ocoerce`1`n`(_$)->OutputForm`cVarCat``340438
ocoerce`1`n`(_$)->OutputForm`dFortranCode``340452
ocoerce`1`n`(_$)->OutputForm`dFortranType``340514
ocoerce`1`n`(_$)->OutputForm`dGraphImage``340577
ocoerce`1`n`(_$)->OutputForm`dILogic``340739
ocoerce`1`n`(_$)->OutputForm`dIncidenceAlgebra(R,S)``0
ocoerce`1`n`(_$)->OutputForm`dJetDifferentialEquation(JB,D)``340753
ocoerce`1`n`(_$)->OutputForm`dLambda(UT)``340851
ocoerce`1`n`(_$)->OutputForm`dLatticeJoinOfMeets``340865
ocoerce`1`n`(_$)->OutputForm`dLatticeMeetOfJoins``340879
ocoerce`1`n`(_$)->OutputForm`dSBoundary(PT)``340893
ocoerce`1`n`(_$)->OutputForm`dSKICombinators(UT)``340969
ocoerce`1`n`(_$)->OutputForm`dSTransform(PT)``340983
ocoerce`1`n`(_$)->OutputForm`dScene(PT)``341015
ocoerce`1`n`(_$)->OutputForm`dSceneIFS(PT)``341259
ocoerce`1`n`(_$)->OutputForm`dTwoDimensionalViewport``341323
ocoerce`1`n`(_$)->P`dWeightedPolynomials(R,VarSet,E,P,vl,wl,wtlevel)``341505
ocoerce`1`n`(_$)->Polynomial(R)`dOrdinaryWeightedPolynomials(R,vl,wl,wtlevel)``341563
ocoerce`1`n`(_$)->PrimitiveArray(PrimitiveArray(PrimitiveArray(R)))`dThreeDimensionalMatrix(R)``341649
ocoerce`1`n`(_$)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``341722
ocoerce`1`n`(_$)->R`dModularField(R,Mod,reduction,merge,exactQuo)``341760
ocoerce`1`n`(_$)->R`dModularRing(R,Mod,reduction,merge,exactQuo)``341798
ocoerce`1`n`(_$)->Record(index:IS,exponent:E)`dModuleMonomial(IS,E,ff)``341836
ocoerce`1`n`(_$)->SExpression`dFortranScalarType``341874
ocoerce`1`n`(_$)->S`cRetractableFrom(S)``341955
ocoerce`1`n`(_$)->Stream(Coef)`dDirichletRing(Coef)``0
ocoerce`1`n`(_$)->String`dFortranScalarType``342021
ocoerce`1`n`(_$)->String`dXmlAttribute``342099
ocoerce`1`n`(_$)->Symbol`dFortranScalarType``342152
ocoerce`1`n`(_$)->Symbol`dVariable(sym)``342220
ocoerce`1`n`(_$)->Table(Symbol,FortranType)`dSymbolTable``342263
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``342320
ocoerce`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``342393
ocoerce`1`n`(_$)->XPBWPolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``342463
ocoerce`1`n`(_$)->XRecursivePolynomial(VarSet,R)`dXPBWPolynomial(VarSet,R)``342536
ocoerce`1`x`(A)->()->A`pMappingPackage1(A)``342604
ocoerce`1`x`(A)->_$`dAssociatedJordanAlgebra(R,A)``342687
ocoerce`1`x`(A)->_$`dAssociatedLieAlgebra(R,A)``342851
ocoerce`1`x`(Character)->_$`cStringAggregate``343009
ocoerce`1`x`(Col)->_$`cMatrixCategory(R,Row,Col)``343100
ocoerce`1`x`(Color)->_$`dPalette``343177
ocoerce`1`x`(DirectProduct(dim,R))->_$`dCartesianTensor(minix,dim,R)``343281
ocoerce`1`x`(Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``343340
ocoerce`1`x`(Exit)->S`pResolveLatticeCompletion(S)``343425
ocoerce`1`x`(F1)->F2`pFiniteFieldHomomorphisms(F1,GF,F2)``343582
ocoerce`1`x`(F2)->F1`pFiniteFieldHomomorphisms(F1,GF,F2)``344043
ocoerce`1`x`(FourierComponent(E))->_$`dFourierSeries(R,E)``344507
ocoerce`1`x`(Fraction(Factored(R)))->_$`dPartialFraction(R)``344574
ocoerce`1`x`(Fraction(Polynomial(AlgebraicNumber)))->Expression(Integer)`pPolynomialAN2Expression``344866
ocoerce`1`x`(Fraction(Polynomial(Fraction(R))))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`345016
ocoerce`1`x`(Fraction(R))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`345078
ocoerce`1`x`(Integer)->_$`cNonAssociativeRing``345140
ocoerce`1`x`(Integer)->_$`dOrdSetInts``345220
ocoerce`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``345290
ocoerce`1`x`(List(List(S)))->_$`dPermutation(S)``345383
ocoerce`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``345707
ocoerce`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``345809
ocoerce`1`x`(List(Record(k:M,c:R)))->_$`cMonoidRingCategory(R,M)``345899
ocoerce`1`x`(List(S))->_$`dDataList(S)``345993
ocoerce`1`x`(List(S))->_$`dDatabase(S)``346050
ocoerce`1`x`(List(S))->_$`dPermutation(S)``346105
ocoerce`1`x`(List(S))->_$`dStream(S)``346333
ocoerce`1`x`(List(_$))->_$`dCartesianTensor(minix,dim,R)``346395
ocoerce`1`x`(OutputForm)->String`dMathMLFormat``346485
ocoerce`1`x`(OutputForm)->String`dTexmacsFormat``346574
ocoerce`1`x`(OutputForm)->_$`dScriptFormulaFormat``346664
ocoerce`1`x`(OutputForm)->_$`dTexFormat``346761
ocoerce`1`x`(Pi)->Expression(R)`pPiCoercions(R)``346847
ocoerce`1`x`(Polynomial(AlgebraicNumber))->Expression(Integer)`pPolynomialAN2Expression``346916
ocoerce`1`x`(Polynomial(Coef))->_$`dTaylorSeries(Coef)``347042
ocoerce`1`x`(Polynomial(Fraction(R)))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`347143
ocoerce`1`x`(R)->Fraction(Polynomial(R))`pRationalFunction(R)``347205
ocoerce`1`x`(R)->_$`cAlgebra(R)``347291
ocoerce`1`x`(R)->_$`cLeftAlgebra(R)``347374
ocoerce`1`x`(R)->_$`cXAlgebra(R)``347464
ocoerce`1`x`(R)->_$`dFourierSeries(R,E)``347507
ocoerce`1`x`(R)->_$`dOrdinaryDifferentialRing(Kernels,R,var)``347573
ocoerce`1`x`(S)->Any`pAnyFunctions1(S)``347658
ocoerce`1`x`(S)->None`pNoneFunctions1(S)``347761
ocoerce`1`x`(S)->ScriptFormulaFormat`pScriptFormulaFormat1(S)``347842
ocoerce`1`x`(S)->TexFormat`pTexFormat1(S)``348115
ocoerce`1`x`(S)->Void`pResolveLatticeCompletion(S)``348342
ocoerce`1`x`(S)->_$`cDifferentialVariableCategory(S)``348677
ocoerce`1`x`(S)->_$`cRetractableTo(S)``348773
ocoerce`1`x`(Segment(S))->_$`dUniversalSegment(S)``348833
ocoerce`1`x`(SegmentBinding(Expression(R)))->SegmentBinding(Float)`pDrawNumericHack(R)``348908
ocoerce`1`x`(SparseMultivariatePolynomial(Integer,Kernel(_$)))->_$`dAlgebraicNumber``349042
ocoerce`1`x`(SparseMultivariatePolynomial(R,Kernel(_$)))->_$`cFunctionSpace(R)`has(R,Ring)`349114
ocoerce`1`x`(SquareMatrix(dim,R))->_$`dCartesianTensor(minix,dim,R)``349176
ocoerce`1`x`(String)->_$`cFileNameCategory``349235
ocoerce`1`x`(String)->_$`dIndexCard``349345
ocoerce`1`x`(String)->_$`dSymbol``349501
ocoerce`1`x`(Symbol)->_$`dOpenMathErrorKind``349567
ocoerce`1`x`(Symbol)->_$`dTaylorSeries(Coef)``349799
ocoerce`1`x`(ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``349862
ocoerce`1`x`(UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``349950
ocoerce`1`x`(UnivariatePuiseuxSeries(Coef,var,cen))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``350037
ocoerce`1`x`(VarSet)->_$`cFreeLieAlgebra(VarSet,R)``350114
ocoerce`1`x`(Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``350176
ocoerce`1`x`(Variable(x))->_$`dUnivariatePolynomial(x,R)``350265
ocoerce`1`x`(Vector(R))->_$`dAlgebraGivenByStructuralConstants(R,n,ls,gamma)``350348
ocoerce`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``350555
ocoerce`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``350629
ocoerce`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``350704
ocoerce`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``350783
ocoerce`1`x`(_$)->Fraction(R)`dPartialFraction(R)``350857
ocoerce`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``350959
ocoerce`1`x`(_$)->List(S)`dDataList(S)``351030
ocoerce`1`x`(_$)->OutputForm`cThreeSpaceCategory(R)``351095
ocoerce`1`x`(_$)->OutputForm`dVoid``351180
ocoerce`1`x`(_$)->R`dOrdinaryDifferentialRing(Kernels,R,var)``351239
ocoerce`1`x`(_$)->RadixExpansion(10)`dDecimalExpansion``351323
ocoerce`1`x`(_$)->RadixExpansion(16)`dHexadecimalExpansion``351411
ocoerce`1`x`(_$)->RadixExpansion(2)`dBinaryExpansion``351503
ocoerce`1`x`(_$)->S`cCoercibleTo(S)``351589
ocoerce`1`x`(_$)->String`cFileNameCategory``351655
ocoerce`1`x`(_$)->Tree(S)`dPendantTree(S)``351767
ocoerce`1`x`(_$)->XDistributedPolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``351805
ocoerce`1`x`(_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``351873
ocoerce`1`x`(vl)->_$`cXFreeAlgebra(vl,R)``351941
ocolSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``351983
ocoleman`3`x`(List(Integer),List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``352128
ocolinearity`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
ocolinearity`2`n`(_$,_$)->DoubleFloat`cSPointCategory``352945
ocollectQuasiMonic`1`n`(S)->S`xTriangularSetCategory&(S,R,E,V,P)``0
ocollectQuasiMonic`1`x`(_$)->_$`cTriangularSetCategory(R,E,V,P)``353167
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)``353291
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)``353425
ocollect`1`n`(_$)->_$`dJetLazyFunction(JB,D)``353562
ocollect`2`n`(S,VarSet)->S`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
ocollect`2`x`(_$,VarSet)->_$`cPolynomialSetCategory(R,E,VarSet,P)``353655
ocolorDef`3`x`(_$,Color,Color)->Void`dThreeDimensionalViewport``353777
ocolorFunction`1`x`((DoubleFloat)->DoubleFloat)->_$`dDrawOption``354092
ocolorFunction`1`x`((DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``354275
ocolorFunction`1`x`((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->_$`dDrawOption``354489
ocolor`1`n`(Point(R))->R`pPointPackage(R)``354725
ocolor`1`x`(Integer)->_$`dColor``355038
ocolumnMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``355108
ocolumnSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``355225
ocolumnSpace`1`n`(S)->List(Col)`xMatrixCategory&(S,R,Row,Col)``0
ocolumnSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`355450
ocolumnSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`355567
ocolumn`2`n`(S,Integer)->Col`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ocolumn`2`x`(_$,Integer)->Col`cRectangularMatrixCategory(m,n,R,Row,Col)``355685
ocolumn`2`x`(_$,Integer)->Col`cTwoDimensionalArrayCategory(R,Row,Col)``355814
ocolumns`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``355939
ocolumns`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``356041
ocommaSeparate`1`n`(List(_$))->_$`dOutputForm``356143
ocomment`1`n`(List(String))->_$`dFortranCode``356238
ocomment`1`n`(String)->_$`dFortranCode``356345
ocommonDenominator`1`n`(B)->R`pInnerCommonDenominator(R,Q,A,B)``356447
ocommonDenominator`1`n`(P)->R`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``356571
ocommonDenominator`1`x`(A)->R`pCommonDenominator(R,Q,A)``356678
ocommonDenominator`1`x`(Matrix(Q))->R`pMatrixCommonDenominator(R,Q)``356802
ocommonDenominator`1`x`(UP)->R`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
ocommon`2`n`(Symbol,List(Symbol))->_$`dFortranCode``356905
ocommutative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``356991
ocommutative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``357075
ocommutativeEquality`2`n`(_$,_$)->Boolean`dListMonoidOps(S,E,un)``357159
ocommutator`2`n`(S,S)->S`xGroup&(S)``0
ocommutator`2`n`(S,S)->S`xNonAssociativeRng&(S)``0
ocommutator`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``357279
ocommutator`2`x`(_$,_$)->_$`cGroup``357360
ocommutator`2`x`(_$,_$)->_$`cNonAssociativeRng``357434
ocompBound`2`n`(BP,List(BP))->NonNegativeInteger`pGenExEuclid(R,BP)``357491
ocomp`3`n`((B)->C,(A)->B,A)->C`pMappingPackageInternalHacks3(A,B,C)``357736
ocompactFraction`1`x`(_$)->_$`dPartialFraction(R)``357786
ocompanionBlocks`2`n`(Matrix(K),List(Vector(K)))->List(Record(C:Matrix(K),lg:List(Vector(K))))`pPseudoLinearNormalForm(K)``357987
ocomparison`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``358172
ocompdegd`1`n`(List(Record(factor:SparseUnivariatePolynomial(R),exponent:Integer)))->Integer`pMultivariateSquareFree(E,OV,R,P)``358439
ocompile`2`n`(Symbol,List(_$))->Symbol`dInputForm``358478
ocompiledFunction`2`n`(S,Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``358815
ocompiledFunction`3`n`(S,Symbol,Symbol)->(D1,D2)->I`pMakeBinaryCompiledFunction(S,D1,D2,I)``359008
ocomplementSpace`1`n`(List(Vector(R)))->_$`dVectorSpaceBasis(R)``359228
ocomplementSpace`1`n`(_$)->_$`dVectorSpaceBasis(R)``359387
ocomplementSpace`2`n`(List(Vector(R)),NonNegativeInteger)->_$`dVectorSpaceBasis(R)``359551
ocomplementSpace`2`n`(_$,NonNegativeInteger)->_$`dVectorSpaceBasis(R)``359762
ocomplement`1`n`(A)->A`xFiniteSetAggregate&(A,S)``0
ocomplement`1`n`(_$)->_$`dSubsetLattice(S,top)``359987
ocomplement`1`x`(_$)->_$`cFiniteSetAggregate(S)`has(S,Finite)`360012
ocomplement`2`n`(_$,List(S))->_$`dSubsetLattice(S,top)``360143
ocomplementaryBasis`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ocomplementaryBasis`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``360168
ocomplete2`1`n`(JetDifferentialEquation(JB,D))->Record(IDe:JetDifferentialEquation(JB,D),ISys:List(D),Order:NonNegativeInteger,NumProj:NonNegativeInteger,Dim:NonNegativeInteger,CarChar:List(NonNegativeInteger))`pCartanKuranishi(JB,D)``360306
ocompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`360608
ocompleteEchelonBasis`1`x`(Vector(Vector(R)))->Matrix(R)`pRepresentationPackage2(R)``360819
ocompleteEval`3`n`(SparseUnivariatePolynomial(P),List(OV),List(R))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``361212
ocompleteHensel`4`n`(TP,List(TP),RP,PositiveInteger)->List(TP)`pGeneralHenselPackage(RP,TP)``361485
ocompleteHermite`1`x`(M)->Record(Hermite:M,eqMat:M)`pSmithNormalForm(R,Row,Col,M)``361695
ocompleteReflexivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteReflexivity`1`n`(_$)->_$`cPoset(S)``361864
ocompleteSmith`1`x`(M)->Record(Smith:M,leftEqMat:M,rightEqMat:M)`pSmithNormalForm(R,Row,Col,M)``362046
ocompleteSmith`2`n`(Matrix(Integer),(Matrix(Integer))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer)))->Record(Smith:Matrix(Integer),leftEqMat:Matrix(Integer),rightEqMat:Matrix(Integer))`pIntegerSmithNormalForm``362243
ocompleteTransitivity`1`n`(A)->A`xPoset&(A,S)``0
ocompleteTransitivity`1`n`(_$)->_$`cPoset(S)``362459
ocomplete`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocomplete`1`n`(JetDifferentialEquation(JB,D))->Void`pCartanKuranishi(JB,D)``362657
ocomplete`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``362835
ocomplete`1`x`(_$)->_$`cLazyStreamAggregate(S)``363074
ocomplete`1`x`(_$)->_$`cPAdicIntegerCategory(p)``363221
ocomplete`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``363285
ocomplete`1`x`(_$)->_$`dContinuedFraction(R)``363434
ocompletelyOrderedSet`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``363687
ocomplex?`1`n`(_$)->Boolean`dFortranScalarType``363729
ocomplexEigenvalues`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Complex(Par))`pNumericComplexEigenPackage(Par)``363821
ocomplexEigenvectors`2`x`(Matrix(Complex(Fraction(Integer))),Par)->List(Record(outval:Complex(Par),outmult:Integer,outvect:List(Matrix(Complex(Par)))))`pNumericComplexEigenPackage(Par)``364056
ocomplexElementary`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``364411
ocomplexElementary`1`x`(F)->F`pTrigonometricManipulations(R,F)``364558
ocomplexElementary`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``364705
ocomplexElementary`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``364891
ocomplexExpand`1`x`(IntegrationResult(F))->F`pIntegrationResultToFunction(R,F)``365077
ocomplexExpand`1`x`(IntegrationResult(Fraction(Polynomial(R))))->Expression(R)`pIntegrationResultRFToFunction(R)``365173
ocomplexForm`1`x`(F)->Complex(Expression(R))`pComplexTrigonometricManipulations(R,F)``365269
ocomplexForm`1`x`(F)->Complex(F)`pTrigonometricManipulations(R,F)``365333
ocomplexIntegrate`2`x`(F,Symbol)->F`pFunctionSpaceComplexIntegration(R,F)``365397
ocomplexIntegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Expression(R)`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`365522
ocomplexLimit`2`x`(FE,Equation(OnePointCompletion(FE)))->Union(OnePointCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``365647
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``365744
ocomplexLimit`2`x`(Fraction(Polynomial(R)),Equation(OnePointCompletion(Polynomial(R))))->OnePointCompletion(Fraction(Polynomial(R)))`pRationalFunctionLimitPackage(R)``365871
ocomplexNormalize`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``365998
ocomplexNormalize`1`x`(F)->F`pTrigonometricManipulations(R,F)``366114
ocomplexNormalize`2`x`(F,Symbol)->F`pComplexTrigonometricManipulations(R,F)``366230
ocomplexNormalize`2`x`(F,Symbol)->F`pTrigonometricManipulations(R,F)``366370
ocomplexNumericIfCan`1`x`(Expression(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366510
ocomplexNumericIfCan`1`x`(Expression(S))->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`366637
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(Complex(S))))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`366764
ocomplexNumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`366891
ocomplexNumericIfCan`1`x`(Polynomial(Complex(S)))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`367018
ocomplexNumericIfCan`1`x`(Polynomial(S))->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`367143
ocomplexNumericIfCan`2`x`(Expression(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367270
ocomplexNumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`367432
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`367594
ocomplexNumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,IntegralDomain)`367756
ocomplexNumericIfCan`2`x`(Polynomial(Complex(S)),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,CommutativeRing)`367888
ocomplexNumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Complex(Float),"failed")`pNumeric(S)`has(S,Ring)`368050
ocomplexNumeric`1`x`(Complex(S))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`368212
ocomplexNumeric`1`x`(Expression(Complex(S)))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`368289
ocomplexNumeric`1`x`(Expression(S))->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`368366
ocomplexNumeric`1`x`(Fraction(Polynomial(Complex(S))))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`368443
ocomplexNumeric`1`x`(Fraction(Polynomial(S)))->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`368520
ocomplexNumeric`1`x`(Polynomial(Complex(S)))->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`368597
ocomplexNumeric`1`x`(Polynomial(S))->Complex(Float)`pNumeric(S)`has(S,Ring)`368674
ocomplexNumeric`1`x`(S)->Complex(Float)`pNumeric(S)``368751
ocomplexNumeric`2`x`(Complex(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`368828
ocomplexNumeric`2`x`(Expression(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`368940
ocomplexNumeric`2`x`(Expression(S),PositiveInteger)->Complex(Float)`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`369052
ocomplexNumeric`2`x`(Fraction(Polynomial(Complex(S))),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`369164
ocomplexNumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,IntegralDomain)`369276
ocomplexNumeric`2`x`(Polynomial(Complex(S)),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,CommutativeRing)`369357
ocomplexNumeric`2`x`(Polynomial(S),PositiveInteger)->Complex(Float)`pNumeric(S)`has(S,Ring)`369469
ocomplexNumeric`2`x`(S,PositiveInteger)->Complex(Float)`pNumeric(S)``369581
ocomplexRoots`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Complex(Par))`pFloatingComplexPackage(Par)``369693
ocomplexRoots`3`x`(List(Fraction(Polynomial(Complex(Integer)))),List(Symbol),Par)->List(List(Complex(Par)))`pFloatingComplexPackage(Par)``369877
ocomplexSolve`2`x`(Equation(Fraction(Polynomial(Complex(Integer)))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``370193
ocomplexSolve`2`x`(Fraction(Polynomial(Complex(Integer))),Par)->List(Equation(Polynomial(Complex(Par))))`pFloatingComplexPackage(Par)``370427
ocomplexSolve`2`x`(List(Equation(Fraction(Polynomial(Complex(Integer))))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``370643
ocomplexSolve`2`x`(List(Fraction(Polynomial(Complex(Integer)))),Par)->List(List(Equation(Polynomial(Complex(Par)))))`pFloatingComplexPackage(Par)``370872
ocomplexZeros`1`n`(UP)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``371090
ocomplexZeros`2`n`(UP,R)->List(Complex(R))`pComplexRootFindingPackage(R,UP)``371289
ocomplexZeros`2`x`(UP,Par)->List(Complex(Par))`pComplexRootPackage(UP,Par)``371424
ocomplex`2`x`(R,R)->_$`cComplexCategory(R)``371631
ocomponent`2`n`(_$,Point(DoubleFloat))->Void`dGraphImage``371690
ocomponent`5`n`(_$,List(Point(DoubleFloat)),Palette,Palette,PositiveInteger)->Void`dGraphImage``372027
ocomponent`5`n`(_$,Point(DoubleFloat),Palette,Palette,PositiveInteger)->Void`dGraphImage``372535
ocomponents`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``372886
ocompose`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``373127
ocomposite`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``373224
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(_$),"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`373432
ocomposite`2`x`(_$,_$)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`373558
ocomposites`1`x`(_$)->List(_$)`cThreeSpaceCategory(R)``373667
ocompound`2`n`(_$,_$)->_$`dSTransform(PT)``374016
ocomputeBasis`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``374074
ocomputeCycleEntry`2`n`(ST,ST)->ST`pCyclicStreamTools(S,ST)``374302
ocomputeCycleLength`1`n`(ST)->NonNegativeInteger`pCyclicStreamTools(S,ST)``374487
ocomputeInt`5`n`(Kernel(F),F,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(OrderedCompletion(F),"failed")`pDefiniteIntegrationTools(R,F)``374656
ocomputePowers`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``375076
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)``375120
oconcat!`2`x`(_$,S)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`375210
oconcat!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`375350
oconcat!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)``375488
oconcat!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`375595
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(_$))->_$`cLinearAggregate(S)``375685
oconcat`1`x`(Stream(Stream(S)))->Stream(S)`pStreamFunctions1(S)``375999
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`(S,_$)->_$`cLinearAggregate(S)``376138
oconcat`2`x`(S,_$)->_$`cUnaryRecursiveAggregate(S)``376292
oconcat`2`x`(_$,S)->_$`cLinearAggregate(S)``376482
oconcat`2`x`(_$,_$)->_$`cLinearAggregate(S)``376644
oconcat`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)``376903
ocond`2`n`(Switch,_$)->_$`dFortranCode``377072
ocond`3`n`(Switch,_$,_$)->_$`dFortranCode``377179
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xFiniteFieldCategory&(S)``0
oconditionP`1`n`(Matrix(S))->Union(Vector(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cFiniteFieldCategory``377305
oconditionP`1`x`(Matrix(_$))->Union(Vector(_$),"failed")`cPolynomialFactorizationExplicit`has(_$,CharacteristicNonZero)`377518
ocondition`1`n`(_$)->C`dSplittingNode(V,C)``377787
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`377858
oconditionsForIdempotents`0`n`()->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``378034
oconditionsForIdempotents`0`x`()->List(Polynomial(R))`cFramedNonAssociativeAlgebra(R)``378211
oconditionsForIdempotents`1`n`(Vector(S))->List(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``0
oconditionsForIdempotents`1`n`(Vector(_$))->List(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`378388
oconditionsForIdempotents`1`x`(Vector(_$))->List(Polynomial(R))`cFiniteRankNonAssociativeAlgebra(R)``378605
oconditions`1`n`(_$)->List(C)`dSplittingTree(V,C)``378823
ocone`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``378905
oconical`2`x`(R,R)->(Point(R))->Point(R)`pCoordinateSystems(R)``379130
oconj`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``379468
oconjug`1`n`(R)->R`dOperator(R)`has(R,CommutativeRing)`0
oconjug`1`x`(R)->R`dModuleOperator(R,M)`has(R,CommutativeRing)`379632
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``379687
oconjugate`1`x`(List(Integer))->List(Integer)`pPartitionsAndPermutations``379770
oconjugate`1`x`(_$)->_$`cComplexCategory(R)``379843
oconjugate`1`x`(_$)->_$`cOctonionCategory(R)``379918
oconjugate`1`x`(_$)->_$`cQuaternionCategory(R)``380076
oconjugate`2`n`(S,S)->S`xGroup&(S)``0
oconjugate`2`x`(_$,_$)->_$`cGroup``380155
oconjugates`1`x`(Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``380258
oconnect`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``380366
oconsRow!`2`n`(_$,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``380650
ocons`2`n`(R,_$)->_$`cSequenceCategory(R)``380741
ocons`2`x`(S,_$)->_$`dList(S)``380809
ocons`2`x`(S,_$)->_$`dStream(S)``380980
oconsnewpol`3`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),Integer)->Record(pol:SparseUnivariatePolynomial(P),polval:SparseUnivariatePolynomial(R))`pMultivariateSquareFree(E,OV,R,P)``381134
oconst?`1`n`(S)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
oconst?`1`n`(_$)->Boolean`cJetBundleFunctionCategory(JB)``381175
oconstDsolve`3`n`(L,F,Symbol)->Record(particular:F,basis:List(F))`pConstantLODE(R,F,L)``381249
oconst`1`n`(_$)->R`dDistributedJetBundlePolynomial(R,JB,LJV,E)``381489
oconst`1`x`(C)->(A)->C`pMappingPackage2(A,C)``381622
oconstant?`1`n`(_$)->Boolean`dPattern(R)``381726
oconstant?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``381803
oconstant?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``381901
oconstantCoefficientRicDE`2`n`(L,(UP)->List(F))->List(Record(constant:F,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``381973
oconstantIfCan`1`x`(Kernel(S))->Union(R,"failed")`pKernelFunctions2(R,S)``382439
oconstantKernel`1`x`(R)->Kernel(S)`pKernelFunctions2(R,S)``382484
oconstantLeft`1`x`((B)->C)->(A,B)->C`pMappingPackage3(A,B,C)``382530
oconstantOpIfCan`1`x`(BasicOperator)->Union(A,"failed")`pBasicOperatorFunctions1(A)``382633
oconstantOperator`1`x`(A)->BasicOperator`pBasicOperatorFunctions1(A)``382779
oconstantRight`1`x`((A)->C)->(A,B)->C`pMappingPackage3(A,B,C)``382894
oconstantToUnaryFunction`1`n`(DoubleFloat)->(DoubleFloat)->DoubleFloat`pExpressionTubePlot``382998
oconstant_subspace`2`n`(List(Vector(F)),List((F)->F))->Record(transform:Matrix(F),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``383224
oconstant`1`n`(_$)->R`dXPolynomialRing(R,E)``383623
oconstant`1`x`(()->C)->(A)->C`pMappingPackage2(A,C)``383687
oconstant`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``383780
oconstant`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``383944
oconstant`1`x`(_$)->R`cXFreeAlgebra(vl,R)``384072
oconstructOrdered`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``384137
oconstruct`1`n`(List(List(List(R))))->_$`dThreeDimensionalMatrix(R)``384551
oconstruct`1`n`(List(P))->S`xTriangularSetCategory&(S,R,E,V,P)``0
oconstruct`1`n`(List(Record(key:Symbol,entry:S)))->_$`dPatternMatchResult(R,S)``384650
oconstruct`1`n`(List(Record(val:V,tower:C)))->List(_$)`dSplittingNode(V,C)``384809
oconstruct`1`n`(List(S))->A`xBagAggregate&(A,S)``0
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))->_$`dSplittingNode(V,C)``384911
oconstruct`1`n`(SplittingNode(V,C))->_$`dSplittingTree(V,C)``384996
oconstruct`1`x`(List(Record(exponent:NonNegativeInteger,center:UP,num:UP)))->_$`dFullPartialFractionExpansion(F,UP)``385296
oconstruct`1`x`(List(Record(k:S,c:A)))->_$`cIndexedDirectProductCategory(A,S)``385351
oconstruct`1`x`(List(S))->_$`cCollection(S)``385446
oconstruct`1`x`(_$)->Stream(S)`dInfiniteTuple(S)``385705
oconstruct`2`n`(A,B)->_$`dProduct(A,B)``385772
oconstruct`2`n`(IS,E)->_$`dModuleMonomial(IS,E,ff)``385867
oconstruct`2`n`(LyndonWord(VarSet),LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``385913
oconstruct`2`n`(LyndonWord(VarSet),_$)->_$`dLiePolynomial(VarSet,R)``385986
oconstruct`2`n`(OutputForm,List(OutputForm))->OutputForm`pOutputFormTools``386059
oconstruct`2`n`(S1,S2)->_$`dSuchThat(S1,S2)``386153
oconstruct`2`n`(V,C)->_$`dSplittingNode(V,C)``386217
oconstruct`2`n`(V,List(C))->List(_$)`dSplittingNode(V,C)``386303
oconstruct`2`n`(_$,LyndonWord(VarSet))->_$`dLiePolynomial(VarSet,R)``386395
oconstruct`2`x`(_$,_$)->_$`cLieAlgebra(R)``386468
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Polynomial(Integer)),Boolean)->_$`dFortranType``386550
oconstruct`3`n`(Union(fst:FortranScalarType,void:"void"),List(Symbol),Boolean)->_$`dFortranType``386622
oconstruct`3`n`(V,C,Boolean)->_$`dSplittingNode(V,C)``386694
oconstruct`3`n`(V,C,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``386818
oconstruct`3`n`(V,C,List(_$))->_$`dSplittingTree(V,C)``387014
oconstruct`4`n`(V,C,V,List(C))->_$`dSplittingTree(V,C)``387185
oconstruct`4`x`(Sequence(R),Sequence(R),Sequence(R),Sequence(R))->_$`dDistribution(R)``387398
ocontains?`2`x`(_$,R)->Boolean`cIntervalCategory(R)``387695
ocontainsPoint?`2`n`(_$,PT)->Boolean`dSBoundary(PT)``387828
ocontent`1`n`(List(BP))->List(Integer)`pHeuGcd(BP)``387983
ocontent`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
ocontent`1`n`(S)->R`xPolynomialCategory&(S,R,E,VarSet)``0
ocontent`1`n`(S)->R`xUnivariatePolynomialCategory&(S,R)``0
ocontent`1`n`(S)->R`xUnivariateSkewPolynomialCategory&(S,R)``0
ocontent`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`388069
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)`388159
ocontinue`1`n`(SingleInteger)->_$`dFortranCode``388457
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dBalancedPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRational(p)``0
ocontinuedFraction`1`n`(_$)->ContinuedFraction(Fraction(Integer))`dPAdicRationalConstructor(p,PADIC)``388553
ocontinuedFraction`1`x`(F)->ContinuedFraction(Integer)`pNumericContinuedFraction(F)``388665
ocontinuedFraction`1`x`(Fraction(R))->_$`dContinuedFraction(R)``388777
ocontinuedFraction`3`x`(R,Stream(R),Stream(R))->_$`dContinuedFraction(R)``388925
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dFunctionGraph(S)``389169
ocontraAdjoint`2`n`(_$,List(NonNegativeInteger))->Union(List(NonNegativeInteger),"failed")`dMultifunctionGraph(S)``389285
ocontractSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``389401
ocontractSolve`2`x`(Fraction(Polynomial(R)),Symbol)->SuchThat(List(Expression(R)),List(Equation(Expression(R))))`pRadicalSolvePackage(R)``389675
ocontract`2`n`(JetVectorField(JB,D),_$)->D`dJetDifferential(JB,D)``389973
ocontract`2`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))),List(OrderedVariableList(vl)))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``390077
ocontract`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``390179
ocontract`4`x`(_$,Integer,_$,Integer)->_$`dCartesianTensor(minix,dim,R)``390540
ocontrolPanel`2`n`(_$,String)->Void`dTwoDimensionalViewport``391021
ocontrolPanel`2`x`(_$,String)->Void`dThreeDimensionalViewport``391264
oconvergents`1`x`(_$)->Stream(Fraction(R))`dContinuedFraction(R)``391511
oconvert`1`n`(A)->DoubleFloat`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Float`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->InputForm`xCollection&(A,S)``0
oconvert`1`n`(A)->InputForm`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Float)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(A)->Pattern(Integer)`xQuotientFieldCategory&(A,S)``0
oconvert`1`n`(CS)->Pattern(R)`pComplexPattern(R,S,CS)``391695
oconvert`1`n`(Factored(S))->S`xFunctionSpace&(S,R)``0
oconvert`1`n`(JetBundlePolynomial(R,JB))->_$`dDistributedJetBundlePolynomial(R,JB,LJV,E)``391776
oconvert`1`n`(LinearOrdinaryDifferentialOperator1(R))->LinearOrdinaryDifferentialOperator3(Coeff,Ab,R)`pLODOConvertions(Coeff,Ab,R)``391910
oconvert`1`n`(LinearOrdinaryDifferentialOperator3(Coeff,Ab,R))->LinearOrdinaryDifferentialOperator1(R)`pLODOConvertions(Coeff,Ab,R)``392193
oconvert`1`n`(List(P))->_$`dGeneralPolynomialSet(R,E,VarSet,P)``392476
oconvert`1`n`(List(_$))->_$`dPattern(R)``392577
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`xFinite&(S)``0
oconvert`1`n`(S)->InputForm`xFramedModule&(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`xMonogenicAlgebra&(S,R,UP)``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)`xFramedModule&(S,R)``0
oconvert`1`n`(S)->Vector(R)`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(S)->Vector(R)`xOctonionCategory&(S,R)``0
oconvert`1`n`(S)->_$`cConvertibleFrom(S)``392664
oconvert`1`n`(SExpression)->_$`dInputForm``392722
oconvert`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xComplexCategory&(S,R)``0
oconvert`1`n`(Vector(R))->S`xFramedModule&(S,R)``0
oconvert`1`n`(Vector(R))->S`xMonogenicAlgebra&(S,R,UP)``0
oconvert`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
oconvert`1`n`(Vector(R))->_$`cFramedModule(R)``392782
oconvert`1`n`(_$)->JetBundlePolynomial(R,JB)`dDistributedJetBundlePolynomial(R,JB,LJV,E)``392933
oconvert`1`n`(_$)->Symbol`dSingletonAsOrderedSet``0
oconvert`1`n`(_$)->Vector(R)`cFramedModule(R)``393067
oconvert`1`x`(DoubleFloat)->_$`dFloat``393177
oconvert`1`x`(Factored(_$))->_$`cFunctionSpace(R)`has(R,IntegralDomain)`393268
oconvert`1`x`(Flt)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``393444
oconvert`1`x`(Int)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``393501
oconvert`1`x`(List(R))->_$`cPointCategory(R)``393558
oconvert`1`x`(List(_$))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``393684
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))->NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))`pZeroDimensionalSolvePackage(R,ls,ls2)``393783
oconvert`1`x`(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``393827
oconvert`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`393871
oconvert`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`393935
oconvert`1`x`(Polynomial(R))->Polynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``393999
oconvert`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`394043
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)->_$`cSegmentCategory(S)``394107
oconvert`1`x`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(RealClosure(Fraction(R)))`pZeroDimensionalSolvePackage(R,ls,ls2)``394165
oconvert`1`x`(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2)))`pZeroDimensionalSolvePackage(R,ls,ls2)``394209
oconvert`1`x`(SquareMatrix(n,R))->_$`dLieSquareMatrix(n,R)``394269
oconvert`1`x`(Str)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``394321
oconvert`1`x`(Sym)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``394378
oconvert`1`x`(Symbol)->_$`dRomanNumeral``394435
oconvert`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``394505
oconvert`1`x`(_$)->S`cConvertibleTo(S)``394659
oconvert`2`n`(OutputForm,Integer)->_$`cOutputFormatterCategory``394726
oconvert`2`x`(OutputForm,Integer)->_$`dScriptFormulaFormat``394855
oconvert`2`x`(OutputForm,Integer)->_$`dTexFormat``395132
oconvert`3`x`(OutputForm,Integer,OutputForm)->_$`dTexFormat``395398
ocoord`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``395695
ocoord`2`n`(HomogeneousDistributedMultivariatePolynomial(lv,F),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Vector(F)`pLinGroebnerPackage(lv,F)``395827
ocoord`2`n`(List(DrawOption),(Point(DoubleFloat))->Point(DoubleFloat))->(Point(DoubleFloat))->Point(DoubleFloat)`pDrawOptionFunctions0``395861
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricPlaneCurve(ComponentFunction)``396066
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSpaceCurve(ComponentFunction)``396282
ocoordinate`2`x`(_$,NonNegativeInteger)->ComponentFunction`dParametricSurface(ComponentFunction)``396503
ocoordinatesIfCan`2`n`(Vector(R),_$)->Union(Vector(R),"failed")`dVectorSpaceBasis(R)``396720
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)`xFramedModule&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(S)->Vector(R)`xOctonionCategory&(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)`xFramedModule&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`1`n`(Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`1`n`(Vector(_$))->Matrix(R)`cFramedModule(R)``396880
ocoordinates`1`n`(_$)->Vector(R)`cFramedModule(R)``397106
ocoordinates`1`x`((Point(DoubleFloat))->Point(DoubleFloat))->_$`dDrawOption``397220
ocoordinates`1`x`(Vector(_$))->Matrix(F)`cFiniteAlgebraicExtensionField(F)``397371
ocoordinates`1`x`(_$)->Vector(F)`cFiniteAlgebraicExtensionField(F)``397597
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(S,Vector(S))->Vector(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`n`(Vector(R),_$)->Vector(R)`dVectorSpaceBasis(R)``397717
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xComplexCategory&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
ocoordinates`2`n`(Vector(S),Vector(S))->Matrix(R)`xOctonionCategory&(S,R)``0
ocoordinates`2`x`(Matrix(R),List(Matrix(R)))->Vector(R)`pStructuralConstantsPackage(R)``397866
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``398025
ocoordinates`2`x`(Vector(_$),Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``398267
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankAlgebra(R,UP)``398494
ocoordinates`2`x`(_$,Vector(_$))->Vector(R)`cFiniteRankNonAssociativeAlgebra(R)``398608
ocopies`2`x`(Integer,String)->String`pDisplayPackage``398767
ocoproduct`1`x`(_$)->MxM`cCoalgebra(R,MxM)``398889
ocopy!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``398962
ocopyInto!`3`n`(A,A,Integer)->A`xListAggregate&(A,S)``0
ocopyInto!`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
ocopyInto!`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`399108
ocopy_first`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``399232
ocopy_slice`4`n`(U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``399360
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`(_$)->_$`dJetDifferential(JB,D)``399537
ocopy`1`n`(_$)->_$`dJetDifferentialEquation(JB,D)``399606
ocopy`1`n`(_$)->_$`dJetVectorField(JB,D)``399671
ocopy`1`n`(_$)->_$`dPattern(R)``399738
ocopy`1`n`(_$)->_$`dSparseEchelonMatrix(C,D)``399798
ocopy`1`n`(_$)->_$`dSplittingNode(V,C)``399859
ocopy`1`n`(_$)->_$`dSubSpaceComponentProperty``399909
ocopy`1`x`(_$)->_$`cAggregate``399945
ocopy`1`x`(_$)->_$`cIntegerNumberSystem``400080
ocopy`1`x`(_$)->_$`cThreeSpaceCategory(R)``400128
ocopy`1`x`(_$)->_$`dBasicOperator``400221
ocorrPoly`6`n`(SparseUnivariatePolynomial(P),List(OV),List(R),List(NonNegativeInteger),List(SparseUnivariatePolynomial(P)),(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``400273
ocos2sec`1`x`(F)->F`pTranscendentalManipulations(R,F)``400737
ocosIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``400835
ocosSinInfo`1`n`(Integer)->List(List(DoubleFloat))`pTubePlotTools``400922
ocos`1`n`(E)->_$`dFourierComponent(E)``401172
ocos`1`n`(F)->F`pElementaryFunction(R,F)``401238
ocos`1`n`(S)->S`xComplexCategory&(S,R)``0
ocos`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``401299
ocos`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``401366
ocos`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``401433
ocos`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``401501
ocos`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``401571
ocos`1`x`(_$)->_$`cTrigonometricFunctionCategory``401638
ocosh2sech`1`x`(F)->F`pTranscendentalManipulations(R,F)``401691
ocoshIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``401793
ocosh`1`n`(F)->F`pElementaryFunction(R,F)``401882
ocosh`1`n`(S)->S`xComplexCategory&(S,R)``0
ocosh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocosh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``401955
ocosh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``402038
ocosh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``402121
ocosh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``402201
ocosh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``402283
ocosh`1`x`(_$)->_$`cHyperbolicFunctionCategory``402352
ocot2tan`1`x`(F)->F`pTranscendentalManipulations(R,F)``402417
ocot2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``402515
ocotIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``402619
ocot`1`n`(F)->F`pElementaryFunction(R,F)``402706
ocot`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocot`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``402770
ocot`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``402840
ocot`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``402910
ocot`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``402981
ocot`1`x`(_$)->_$`cTrigonometricFunctionCategory``403054
ocoth2tanh`1`x`(F)->F`pTranscendentalManipulations(R,F)``403110
ocoth2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``403212
ocothIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``403321
ocoth`1`n`(F)->F`pElementaryFunction(R,F)``403410
ocoth`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocoth`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``403486
ocoth`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``403572
ocoth`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``403658
ocoth`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``403741
ocoth`1`x`(_$)->_$`cHyperbolicFunctionCategory``403826
ocounit`1`x`(_$)->R`cCoalgebra(R,MxM)``403894
ocountRealRootsMultiple`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)`has(R,GcdDomain)`403962
ocountRealRoots`1`x`(UnivariatePolynomial(x,R))->Integer`pSturmHabichtPackage(R,x)``404069
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`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`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,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`404139
ocount`2`x`(S,_$)->NonNegativeInteger`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`404340
ocountable?`1`x`(_$)->Boolean`dCardinalNumber``404511
ocoverMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ocoverMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``404649
ocreate3Space`0`x`()->_$`cThreeSpaceCategory(R)``405042
ocreate3Space`1`x`(SubSpace(3,R))->_$`cThreeSpaceCategory(R)``405184
ocreateArrows2Din2D`4`n`((PT)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``405326
ocreateGenericMatrix`1`x`(NonNegativeInteger)->Matrix(Polynomial(R))`pRepresentationPackage1(R)``405560
ocreateIrreduciblePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``405760
ocreateLowComplexityNormalBasis`1`n`(PositiveInteger)->Union(SparseUnivariatePolynomial(GF),Vector(List(Record(value:GF,index:SingleInteger))))`pFiniteFieldFunctions(GF)``405921
ocreateLowComplexityTable`1`n`(PositiveInteger)->Union(Vector(List(Record(value:GF,index:SingleInteger))),"failed")`pFiniteFieldFunctions(GF)``406274
ocreateMultiplicationMatrix`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->Matrix(GF)`pFiniteFieldFunctions(GF)``406482
ocreateMultiplicationTable`1`n`(SparseUnivariatePolynomial(GF))->Vector(List(Record(value:GF,index:SingleInteger)))`pFiniteFieldFunctions(GF)``406602
ocreateNormalElement`0`n`()->S`xFiniteAlgebraicExtensionField&(S,F)``0
ocreateNormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`406895
ocreateNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``407166
ocreateNormalPrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``407300
ocreatePlot1Din2D`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``407523
ocreatePlot1Din2D`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``407760
ocreatePlot1Din2Dparametric`3`n`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``407998
ocreatePlot1Din3Dparametric`3`n`((DoubleFloat)->PT,Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``408607
ocreatePlot1Din3Dparametric`3`n`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``409033
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``409637
ocreatePlot2Din3D`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``410073
ocreatePlot2Din3Dparametric`4`n`((DoubleFloat,DoubleFloat)->PT,Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``410277
ocreatePlot2Din3Dparametric`4`n`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),NonNegativeInteger)->_$`dScene(PT)``410746
ocreatePrimitiveElement`0`n`()->S`xFiniteFieldCategory&(S)``0
ocreatePrimitiveElement`0`x`()->_$`cFiniteFieldCategory``411335
ocreatePrimitiveNormalPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411446
ocreatePrimitivePoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``411651
ocreateRandomElement`2`x`(List(Matrix(R)),Matrix(R))->Matrix(R)`pRepresentationPackage2(R)``411791
ocreateSceneArrow`5`n`(String,String,PT,Symbol,DoubleFloat)->_$`dScene(PT)``411903
ocreateSceneArrow`6`n`(_$,_$,PT,Symbol,DoubleFloat,DoubleFloat)->_$`dScene(PT)``412882
ocreateSceneArrows`3`n`(List(List(PT)),Symbol,DoubleFloat)->_$`dScene(PT)``414227
ocreateSceneBox`1`n`(DoubleFloat)->_$`dScene(PT)``415165
ocreateSceneClip`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``415277
ocreateSceneClip`1`n`(SBoundary(PT))->_$`dScene(PT)``415402
ocreateSceneDef`2`n`(String,_$)->_$`dScene(PT)``415534
ocreateSceneGraph`4`n`(DirectedGraph(String),NonNegativeInteger,NonNegativeInteger,Boolean)->_$`dScene(PT)``415643
ocreateSceneGrid`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``415735
ocreateSceneGrid`1`n`(SBoundary(PT))->_$`dScene(PT)``415860
ocreateSceneGrid`2`n`(DoubleFloat,Record(mins:PT,maxs:PT))->_$`dScene(PT)``416013
ocreateSceneGrid`2`n`(DoubleFloat,SBoundary(PT))->_$`dScene(PT)``416138
ocreateSceneGroup`0`n`()->_$`dScene(PT)``416319
ocreateSceneIFS`1`n`(SceneIFS(PT))->_$`dScene(PT)``416442
ocreateSceneIFS`2`n`(List(List(NonNegativeInteger)),List(PT))->_$`dScene(PT)``416602
ocreateSceneLine`1`n`(List(PT))->_$`dScene(PT)``416769
ocreateSceneLine`3`n`(_$,_$,DoubleFloat)->_$`dScene(PT)``417033
ocreateSceneLine`4`n`(_$,_$,DoubleFloat,Boolean)->_$`dScene(PT)``417667
ocreateSceneLines`1`n`(List(List(PT)))->_$`dScene(PT)``418403
ocreateSceneMaterial`1`n`(Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat))->_$`dScene(PT)``418660
ocreateSceneMaterial`3`n`(DoubleFloat,String,String)->_$`dScene(PT)``419035
ocreateSceneNamedPoints`1`n`(SceneNamedPoints(PT))->_$`dScene(PT)``419364
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,Record(mins:PT,maxs:PT))->_$`dScene(PT)``419532
ocreateScenePattern`3`n`(Symbol,NonNegativeInteger,SBoundary(PT))->_$`dScene(PT)``419657
ocreateSceneRoot`0`n`()->_$`dScene(PT)``420200
ocreateSceneRoot`1`n`(Record(mins:PT,maxs:PT))->_$`dScene(PT)``420326
ocreateSceneRoot`1`n`(SBoundary(PT))->_$`dScene(PT)``420451
ocreateSceneRoot`4`n`(Integer,Integer,Integer,Integer)->_$`dScene(PT)``420579
ocreateSceneRuler`3`n`(Symbol,PT,Record(mins:PT,maxs:PT))->_$`dScene(PT)``420733
ocreateSceneRuler`3`n`(Symbol,PT,SBoundary(PT))->_$`dScene(PT)``420858
ocreateSceneShape`1`n`(Record(shptype:Symbol,centre:PT,size:PT,fill:Boolean))->_$`dScene(PT)``421109
ocreateSceneShape`1`n`(SBoundary(PT))->_$`dScene(PT)``421245
ocreateSceneText`1`n`(Record(txt:String,siz:NonNegativeInteger,pos:PT,np:List(String)))->_$`dScene(PT)``421397
ocreateSceneText`3`n`(List(String),NonNegativeInteger,PT)->_$`dScene(PT)``421547
ocreateSceneText`3`n`(String,NonNegativeInteger,PT)->_$`dScene(PT)``421659
ocreateSceneTransform`1`n`(STransform(PT))->_$`dScene(PT)``421806
ocreateSceneUse`1`n`(String)->_$`dScene(PT)``422038
ocreateThreeSpace`0`x`()->ThreeSpace(DoubleFloat)`pTopLevelThreeSpace``422110
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``422269
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``422395
ocreateWidth`1`n`(NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``422521
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``422660
ocreateX`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``422799
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``422938
ocreateY`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ocreateZechTable`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SingleInteger)`pFiniteFieldFunctions(GF)``423077
ocreate`0`n`()->_$`dSingletonAsOrderedSet``0
ocredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423511
ocritB`4`n`(Expon,Expon,Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423547
ocritBonD`2`n`(Dpol,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423581
ocritMTonD1`1`n`(List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423618
ocritM`2`n`(Expon,Expon)->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423657
ocritMonD1`2`n`(Expon,List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)))->List(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423691
ocritT`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423729
ocritpOrder`2`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Boolean`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``423763
ocross`2`n`(Point(DoubleFloat),Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``423802
ocross`2`n`(S,S)->S`xVectorCategory&(S,R)``0
ocross`2`x`(_$,_$)->_$`cPointCategory(R)``424025
ocross`2`x`(_$,_$)->_$`cVectorCategory(R)`has(R,Ring)`424178
ocrushedSet`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``424314
ocsc2sin`1`x`(F)->F`pTranscendentalManipulations(R,F)``424523
ocscIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``424621
ocsc`1`n`(F)->F`pElementaryFunction(R,F)``424715
ocsc`1`n`(S)->S`xTrigonometricFunctionCategory&(S)``0
ocsc`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``424778
ocsc`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``424847
ocsc`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``424916
ocsc`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``424986
ocsc`1`x`(_$)->_$`cTrigonometricFunctionCategory``425058
ocsch2sinh`1`x`(F)->F`pTranscendentalManipulations(R,F)``425113
ocschIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``425215
ocsch`1`n`(F)->F`pElementaryFunction(R,F)``425304
ocsch`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
ocsch`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``425379
ocsch`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``425464
ocsch`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``425549
ocsch`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``425631
ocsch`1`x`(_$)->_$`cHyperbolicFunctionCategory``425715
ocsubst`2`n`(List(Var),List(Stream(SMP)))->(SMP)->Stream(SMP)`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``425782
ocubic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``425836
ocubic`4`n`(F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``425873
ocubicalComplex`1`n`(List(VS))->_$`dFiniteCubicalComplex(VS)``425925
ocubicalComplex`2`n`(List(VS),List(CubicalFacet))->_$`dFiniteCubicalComplex(VS)``425964
ocubicalComplex`2`n`(List(VS),List(List(List(Integer))))->_$`dFiniteCubicalComplex(VS)``426012
ocubicalComplex`2`n`(List(VS),List(List(Segment(Integer))))->_$`dFiniteCubicalComplex(VS)``426060
ocubicalFacet`2`n`(Integer,CubicalFacet)->_$`dCubicalFacet``426108
ocubicalFacet`2`n`(Integer,List(List(Integer)))->_$`dCubicalFacet``426153
ocubicalFacet`2`n`(Integer,List(Segment(Integer)))->_$`dCubicalFacet``426190
ocumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``426371
ocup`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``426489
ocurrentSubProgram`0`n`()->Symbol`dTheSymbolTable``426683
ocurryLeft`2`x`((A,B)->C,A)->(B)->C`pMappingPackage3(A,B,C)``426776
ocurryRight`2`x`((A,B)->C,B)->(A)->C`pMappingPackage3(A,B,C)``426881
ocurry`2`x`((A)->C,A)->()->C`pMappingPackage2(A,C)``426987
ocurve?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``427082
ocurveColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``427307
ocurveColor`1`x`(Float)->_$`dDrawOption``427536
ocurveColor`1`x`(Palette)->_$`dDrawOption``427679
ocurveLoops`3`n`(List(PT),DoubleFloat,Integer)->List(List(PT))`dSceneIFS(PT)``427849
ocurve`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``427936
ocurve`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``428138
ocurve`2`x`(ComponentFunction,ComponentFunction)->_$`dParametricPlaneCurve(ComponentFunction)``428377
ocurve`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``428481
ocurve`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``428851
ocurve`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSpaceCurve(ComponentFunction)``429028
ocycleClosed`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleClosed`2`n`(List(S),String)->_$`cFiniteGraph(S)``429154
ocycleElt`1`n`(ST)->Union(ST,"failed")`pCyclicStreamTools(S,ST)``429408
ocycleEntry`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleEntry`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleEntry`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``429555
ocycleLength`1`n`(A)->NonNegativeInteger`xLazyStreamAggregate&(A,S)``0
ocycleLength`1`n`(A)->NonNegativeInteger`xUnaryRecursiveAggregate&(A,S)``0
ocycleLength`1`x`(_$)->NonNegativeInteger`cUnaryRecursiveAggregate(S)``429690
ocycleOpen`2`n`(List(S),String)->A`xPoset&(A,S)``0
ocycleOpen`2`n`(List(S),String)->_$`cFiniteGraph(S)``429830
ocyclePartition`1`x`(_$)->Partition`dPermutation(S)``430182
ocycleRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``430325
ocycleSplit!`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleSplit!`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`430559
ocycleTail`1`n`(A)->A`xLazyStreamAggregate&(A,S)``0
ocycleTail`1`n`(A)->A`xUnaryRecursiveAggregate&(A,S)``0
ocycleTail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``430936
ocycle`1`x`(List(S))->_$`cPermutationCategory(S)``431026
ocycles`1`x`(List(List(S)))->_$`cPermutationCategory(S)``431253
ocyclic?`1`n`(A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
ocyclic?`1`n`(A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
ocyclic?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``431583
ocyclic?`1`x`(_$)->Boolean`dTree(S)``431639
ocyclicCopy`1`x`(_$)->_$`dTree(S)``431700
ocyclicEntries`1`x`(_$)->List(_$)`dTree(S)``431779
ocyclicEqual?`2`x`(_$,_$)->Boolean`dTree(S)``431863
ocyclicGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``431951
ocyclicGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``432071
ocyclicGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``432260
ocyclicParents`1`x`(_$)->List(_$)`dTree(S)``432380
ocyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Vector(Vector(R))`pRepresentationPackage2(R)`has(R,EuclideanDomain)`432466
ocyclic`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``433107
ocyclotomicDecomposition`1`n`(Integer)->List(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``433203
ocyclotomicFactorization`1`n`(Integer)->Factored(SparseUnivariatePolynomial(Integer))`pCyclotomicPolynomialPackage``433299
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pCyclotomicPolynomialPackage``433395
ocyclotomic`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``433546
ocyclotomic`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)``433749
ocylindricalDecomposition`1`n`(List(Polynomial(TheField)))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``433849
ocylindricalDecomposition`2`n`(List(Polynomial(TheField)),List(Symbol))->List(Cell(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``433995
ocylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``434135
odAndcExp`3`n`(Vector(GF),NonNegativeInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``434372
odP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetDifferential(JB,D)``434811
odSubst`3`n`(S,JB,S)->S`xJetBundleFunctionCategory&(S,JB)``0
odSubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``434884
odU`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``435056
odX`1`n`(PositiveInteger)->_$`dJetDifferential(JB,D)``435117
od`1`n`(D)->_$`dJetDifferential(JB,D)``435178
od`1`n`(JB)->_$`dJetDifferential(JB,D)``435236
odark`1`x`(Color)->_$`dPalette``435295
odatalist`1`x`(List(S))->_$`dDataList(S)``435394
oddFact`2`x`(U,Integer)->List(Record(factor:U,degree:Integer))`pModularDistinctDegreeFactorizer(U)``435453
oddfact`2`n`(U32Vector,Integer)->List(Record(poly:U32Vector,degree:NonNegativeInteger,separate_factors:()->List(U32Vector)))`pModularFactorization``0
odebug3D`1`n`(Boolean)->Boolean`dPlot3D``435745
odebug`1`n`(Boolean)->Boolean`dPlot``435838
odebug`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``435925
odebug`1`x`(Boolean)->_$`dGuessOption``436033
odecFatal`0`n`()->Void`pUnittestCount``436173
odecXfFatal`0`n`()->Void`pUnittestCount``436284
odecXfPass`0`n`()->Void`pUnittestCount``436335
odec`1`x`(_$)->_$`cIntegerNumberSystem``436511
odecimal`1`x`(Fraction(Integer))->_$`dDecimalExpansion``436554
odeclare!`2`n`(Symbol,FortranType)->FortranType`dTheSymbolTable``436630
odeclare!`3`n`(List(Symbol),FortranType,_$)->FortranType`dSymbolTable``436757
odeclare!`3`n`(Symbol,FortranType,Symbol)->FortranType`dTheSymbolTable``436874
odeclare!`3`n`(Symbol,FortranType,_$)->FortranType`dSymbolTable``436974
odeclare!`4`n`(List(Symbol),FortranType,Symbol,_$)->FortranType`dTheSymbolTable``437084
odeclare!`4`n`(Symbol,FortranType,Symbol,_$)->FortranType`dTheSymbolTable``437230
odeclare`1`n`(List(_$))->Symbol`dInputForm``437375
odecomposeFunc`3`n`(Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))),Fraction(SparseUnivariatePolynomial(Expression(R))))->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``437724
odecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)`has(R,Field)`437963
odecompose`1`x`(_$)->Record(id:FractionalIdeal(UP,Fraction(UP),UPUP,R),principalPart:R)`cFiniteDivisorCategory(F,UP,UPUP,R)``438094
odecompose`2`n`(Fraction(UP),(UP)->UP)->Record(poly:UP,normal:Fraction(UP),special:Fraction(UP))`pMonomialExtensionTools(F,UP)``438178
odecompose`2`n`(UP,List(UP))->List(UP)`pPartialFractionUtilities(F,UP)``438538
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(_$,arbitraryPrecision)`438746
odeductions`1`n`(List(_$))->List(_$)`dILogic``438886
odeductions`1`n`(List(_$))->List(_$)`dLatticeJoinOfMeets``439272
odeductions`1`n`(List(_$))->List(_$)`dLatticeMeetOfJoins``439658
odeepCopy`1`n`(_$)->_$`dSubSpace(n,R)``440044
odeepDiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odeepDiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``0
odeepExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``440084
odeepestInitial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestInitial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``440173
odeepestTail`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
odeepestTail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``440320
odefineProperty`3`n`(_$,List(NonNegativeInteger),SubSpaceComponentProperty)->_$`dSubSpace(n,R)``440559
odefiningEquations`1`n`(_$)->List(Dpoly)`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``441044
odefiningInequation`1`n`(_$)->Dpoly`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``441187
odefiningPolynomial`0`n`()->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
odefiningPolynomial`0`x`()->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``441328
odefiningPolynomial`0`x`()->UP`cMonogenicAlgebra(R,UP)``441422
odefiningPolynomial`1`n`(F)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`441524
odefiningPolynomial`1`x`(_$)->ThePols`cRealRootCharacterizationCategory(TheField,ThePols)``441667
odefiningPolynomial`1`x`(_$)->_$`cExpressionSpace`has(_$,Ring)`441779
odegreePartition`1`n`(Factored(UP))->Multiset(NonNegativeInteger)`pGaloisGroupPolynomialUtilities(R,UP)``441873
odegreePartition`1`n`(List(Record(factor:UP,degree:Integer)))->Multiset(NonNegativeInteger)`pGaloisGroupFactorizer(UP)``442038
odegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``442326
odegreeSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``442495
odegree`1`n`(A)->E`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odegree`1`n`(MPT)->Integer`cModularAlgebraicGcdOperations(MP,MPT,MD)``442585
odegree`1`n`(S)->Expon`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
odegree`1`n`(S)->NonNegativeInteger`xTriangularSetCategory&(S,R,E,V,P)``0
odegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
odegree`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(S)->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``0
odegree`1`n`(U32Vector)->Integer`pU32VectorPolynomialOperations``442635
odegree`1`n`(_$)->Expon`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``442703
odegree`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``442790
odegree`1`n`(_$)->NonNegativeInteger`dAntiSymm(R,lVar)``442828
odegree`1`n`(_$)->NonNegativeInteger`dDeRhamComplex(CoefRing,listIndVar)``442896
odegree`1`n`(_$)->NonNegativeInteger`dExtAlgBasis``442984
odegree`1`x`(_$)->E`cAbelianMonoidRing(R,E)``443153
odegree`1`x`(_$)->E`cGradedModule(R,E)``443240
odegree`1`x`(_$)->Expon`cPowerSeriesCategory(Coef,Expon,Var)``443361
odegree`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``443444
odegree`1`x`(_$)->Integer`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``443585
odegree`1`x`(_$)->NonNegativeInteger`cFreeLieAlgebra(VarSet,R)``443712
odegree`1`x`(_$)->NonNegativeInteger`cTriangularSetCategory(R,E,V,P)``443802
odegree`1`x`(_$)->NonNegativeInteger`cXPolynomialsCat(vl,R)``443892
odegree`1`x`(_$)->NonNegativeInteger`dPermutation(S)``444008
odegree`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``444095
odegree`1`x`(_$)->OnePointCompletion(PositiveInteger)`cExtensionField(F)``444198
odegree`1`x`(_$)->PositiveInteger`cFiniteAlgebraicExtensionField(F)``444387
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`(MP,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``444511
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)``444594
odegree`2`n`(_$,List(VarSet))->List(NonNegativeInteger)`cMaybeSkewPolynomialCategory(R,E,VarSet)``444702
odegree`2`n`(_$,Symbol)->NonNegativeInteger`dFakePolynomial``0
odegree`2`n`(_$,VarSet)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``444842
odegree`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``444950
odehomogenize`1`n`(List(Record(ratpart:F,coeffs:Vector(F))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pLinearCombinationUtilities(F,UP)``445132
odelay`1`x`(()->_$)->_$`dStream(S)``445592
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)``445745
odelete!`2`x`(_$,UniversalSegment(Integer))->_$`cExtensibleLinearAggregate(S)``445833
odeleteProperty!`2`x`(_$,Symbol)->_$`dBasicOperator``445942
odeleteRow!`2`n`(_$,Integer)->Void`dSparseEchelonMatrix(C,D)``446106
odelete`2`n`(A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xExtensibleLinearAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
odelete`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
odelete`2`x`(_$,Integer)->_$`cLinearAggregate(S)``446197
odelete`2`x`(_$,UniversalSegment(Integer))->_$`cLinearAggregate(S)``446373
odeltaComplex`1`n`(FiniteCubicalComplex(VS))->_$`dDeltaComplex(VS)``446552
odeltaComplex`1`n`(FiniteSimplicialComplex(VS))->_$`dDeltaComplex(VS)``446647
odeltaComplex`2`n`(FiniteSimplicialComplex(VS),Boolean)->_$`dDeltaComplex(VS)``0
odeltaComplex`3`n`(List(VS),NonNegativeInteger,List(List(List(Integer))))->_$`dDeltaComplex(VS)``446747
odelta_deriv`1`n`(R)->R`pLinearOrdinaryDifferentialOperator3Aux(Coeff,A,R)``446799
odelta`3`n`(_$,PositiveInteger,PositiveInteger)->NonNegativeInteger`dSetOfMIntegersInOneToN(m,n)``446868
odenomLODE`2`n`(L,Fraction(UP))->Union(UP,"failed")`pPrimitiveRatDE(F,UP,L,LQ)``447023
odenomLODE`2`n`(L,List(Fraction(UP)))->UP`pPrimitiveRatDE(F,UP,L,LQ)``447253
odenomRicDE`1`n`(L)->UP`pPrimitiveRatRicDE(F,UP,L,LQ)``447457
odenom`1`n`(_$)->R`dFractionalIdeal(R,F,UP,A)``447781
odenom`1`n`(_$)->R`dLocalAlgebra(A,R)``447844
odenom`1`n`(_$)->R`dLocalize(M,R)``447903
odenom`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``447962
odenom`1`x`(_$)->S`cQuotientFieldCategory(S)``448074
odenom`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``448147
odenom`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`448259
odenominator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odenominator`1`n`(S)->S`xFunctionSpace&(S,R)``0
odenominator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``448371
odenominator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,IntegralDomain)`448436
odenominator`1`x`(_$)->_$`cQuotientFieldCategory(S)``448518
odenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``448608
odepth`1`n`(_$)->NonNegativeInteger`dPattern(R)``448810
odequeue!`1`x`(_$)->S`cQueueAggregate(S)``448872
odequeue`1`x`(List(S))->_$`dDequeue(S)``449064
oderef`1`n`(_$)->S`dReference(S)``449250
oderiv`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``449305
oderiv`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``449501
oderivationCoordinates`2`n`(Vector(S),(R)->R)->Matrix(R)`xMonogenicAlgebra&(S,R,UP)``0
oderivationCoordinates`2`x`(Vector(_$),(R)->R)->Matrix(R)`cMonogenicAlgebra(R,UP)`has(R,Field)`449584
oderivativeOf?`2`n`(S,S)->List(NonNegativeInteger)`xJetBundleCategory&(S)``0
oderivativeOf?`2`n`(_$,_$)->List(NonNegativeInteger)`cJetBundleCategory``449672
oderivative`1`x`(BasicOperator)->Union(List((List(A))->A),"failed")`pBasicOperatorFunctions1(A)``449876
oderivative`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``450002
oderivative`2`x`(BasicOperator,List((List(A))->A))->BasicOperator`pBasicOperatorFunctions1(A)``450254
odestruct`1`n`(_$)->List(Record(key:Symbol,entry:S))`dPatternMatchResult(R,S)``450594
odestruct`1`x`(_$)->List(_$)`cSExpressionCategory(Str,Sym,Int,Flt)``450713
odetSysNS`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``450798
odetSysNS`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``450956
odetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``451114
odetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``451297
odetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``451525
odeterminant`1`n`(M)->R`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``451769
odeterminant`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``451904
odeterminant`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`452039
odeterminant`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`452152
odiag`1`x`((A,A)->C)->(A)->C`pMappingPackage2(A,C)``452229
odiagonal?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
odiagonal?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
odiagonal?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``452324
odiagonal?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``452518
odiagonalMatrix`1`n`(List(R))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
odiagonalMatrix`1`n`(M)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`452712
odiagonalMatrix`1`x`(List(R))->_$`cMatrixCategory(R,Row,Col)``452853
odiagonalMatrix`1`x`(List(R))->_$`cSquareMatrixCategory(ndim,R,Row,Col)``452958
odiagonalMatrix`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``453063
odiagonalMatrix`1`x`(Vector(R))->_$`dMatrix(R)``453624
odiagonalMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)`has(R,AbelianMonoid)`453737
odiagonalProduct`1`n`(Matrix(R))->R`pIntegralBasisTools(R,UP,F)``453963
odiagonalProduct`1`n`(S)->R`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonalProduct`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``454071
odiagonal`1`n`(S)->Row`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odiagonal`1`x`(_$)->Row`cSquareMatrixCategory(ndim,R,Row,Col)``454180
odiagonals`2`x`(_$,String)->Void`dThreeDimensionalViewport``454287
odiagramHeight`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramHeight`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``454631
odiagramSvg2`3`n`(String,_$,Boolean)->Void`dUndirectedGraph(S)``454793
odiagramSvg`3`n`(String,A,Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramSvg`3`n`(String,_$,Boolean)->Void`cFiniteGraph(S)``455133
odiagramWidth`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
odiagramWidth`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``455412
odiagramsSvg`3`n`(String,List(A),Boolean)->Void`xFiniteGraph&(A,S)``0
odiagramsSvg`3`n`(String,List(_$),Boolean)->Void`cFiniteGraph(S)``455572
odictionary`0`n`()->A`xDictionary&(A,S)``0
odictionary`0`n`()->A`xDictionaryOperations&(A,S)``0
odictionary`0`x`()->_$`cDictionaryOperations(S)``455836
odictionary`1`n`(List(S))->A`xDictionary&(A,S)``0
odictionary`1`n`(List(S))->A`xDictionaryOperations&(A,S)``0
odictionary`1`x`(List(S))->_$`cDictionaryOperations(S)``455919
odiffHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativ--eInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeI--nteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
odiffHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,--NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(No--nNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),kin--d:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``456036
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Str--eam(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),No--nNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteg--er)->List(Integer))`pGuessInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiva--riatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInte--ger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
odiffHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fr--action(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(In--teger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(--EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`456151
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Sy--mbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(I--nteger),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNeg--ativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(Spa--rseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNe--gativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
odiffHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePol--ynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Exp--ression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
odiffP`2`n`(PositiveInteger,List(NonNegativeInteger))->_$`dJetVectorField(JB,D)``456285
odiffU`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``456376
odiffX`1`n`(PositiveInteger)->_$`dJetVectorField(JB,D)``456455
odiff_map`1`n`(Var)->(R)->R`pPartialDifferentialOperatorHelper(R,Var)``0
odiff`1`n`(JB)->_$`dJetVectorField(JB,D)``456534
odiff`1`n`(Symbol)->(F)->F`pODEIntegration(R,F)``456611
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)``456682
odifference`2`x`(_$,_$)->_$`cSetAggregate(S)``456914
odifferentialVariables`1`n`(A)->List(S)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentialVariables`1`x`(_$)->List(S)`cDifferentialPolynomialCategory(R,S,V,E)``457279
odifferentials`1`n`(_$)->List(JB)`dJetDifferential(JB,D)``457413
odifferentiate`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
odifferentiate`1`n`(A)->A`xDifferentialVariableCategory&(A,S)``0
odifferentiate`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
odifferentiate`1`n`(S)->S`xComplexCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialExtension&(S,R)``0
odifferentiate`1`n`(S)->S`xDifferentialRing&(S)``0
odifferentiate`1`n`(S)->S`xDirectProductCategory&(S,dim,R)``0
odifferentiate`1`n`(S)->S`xFiniteFieldCategory&(S)``0
odifferentiate`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
odifferentiate`1`n`(S)->S`xIntegerNumberSystem&(S)``0
odifferentiate`1`n`(S)->S`xMonogenicAlgebra&(S,R,UP)``0
odifferentiate`1`n`(S)->S`xQuaternionCategory&(S,R)``0
odifferentiate`1`n`(S)->S`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
odifferentiate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
odifferentiate`1`x`(_$)->_$`cDifferentialRing``457515
odifferentiate`1`x`(_$)->_$`cDifferentialVariableCategory(S)``457671
odifferentiate`1`x`(_$)->_$`dFullPartialFractionExpansion(F,UP)``457738
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,PositiveInteger)->Union(S,"0")`xJetBundleCategory&(S)``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`(U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``457805
odifferentiate`2`n`(_$,(F)->F)->F`dIntegrationResult(F)``457840
odifferentiate`2`n`(_$,JB)->_$`cJetBundleFunctionCategory(JB)``457943
odifferentiate`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``458056
odifferentiate`2`n`(_$,PositiveInteger)->Union(_$,"0")`cJetBundleCategory``458240
odifferentiate`2`n`(_$,Symbol)->F`dIntegrationResult(F)`has(F,PartialDifferentialRing(Symbol))`458358
odifferentiate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)``0
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)``458445
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)``458548
odifferentiate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)``458651
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)``458755
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)``458858
odifferentiate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)``458961
odifferentiate`2`x`(_$,(R)->R)->_$`cDifferentialExtension(R)``459065
odifferentiate`2`x`(_$,(UP)->UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``459173
odifferentiate`2`x`(_$,List(S))->_$`cPartialDifferentialRing(S)``459283
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialRing``459450
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``459534
odifferentiate`2`x`(_$,NonNegativeInteger)->_$`dFullPartialFractionExpansion(F,UP)``459618
odifferentiate`2`x`(_$,S)->_$`cPartialDifferentialRing(S)``459702
odifferentiate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)``459808
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`n`(U32Vector,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``459911
odifferentiate`3`x`(_$,(R)->R,NonNegativeInteger)->_$`cDifferentialExtension(R)``459946
odifferentiate`3`x`(_$,(R)->R,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`460088
odifferentiate`3`x`(_$,List(S),List(NonNegativeInteger))->_$`cPartialDifferentialRing(S)``460275
odifferentiate`3`x`(_$,S,NonNegativeInteger)->_$`cPartialDifferentialRing(S)``460407
odiffextint`3`n`((List(UP))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``460568
odigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``460711
odigamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``460785
odigamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``460907
odigamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``460982
odigamma`1`x`(Float)->Float`pFloatSpecialFunctions``461104
odigamma`1`x`(_$)->_$`cSpecialFunctionCategory``461179
odigit?`1`x`(_$)->Boolean`dCharacter``461302
odigit`0`x`()->_$`dCharacterClass``461399
odigits`0`n`()->PositiveInteger`xFloatingPointSystem&(S)``461515
odigits`0`x`()->PositiveInteger`cFloatingPointSystem``461592
odigits`1`n`(PositiveInteger)->PositiveInteger`xFloatingPointSystem&(S)``461669
odigits`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`461766
odigits`1`x`(_$)->Stream(Integer)`cPAdicIntegerCategory(p)``461863
odihedralGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``461941
odihedralGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``462055
odihedralGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``462249
odihedral`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``462363
odilate`2`n`(R,_$)->_$`cSequenceCategory(R)``462463
odilog`1`n`(F)->F`pLiouvillianFunction(R,F)``462561
odilog`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``462608
odilog`1`x`(_$)->_$`cLiouvillianFunctionCategory``462649
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``462773
odimJ`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``462870
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`cJetBundleCategory``462967
odimS`1`n`(NonNegativeInteger)->NonNegativeInteger`xJetBundleCategory&(S)``463079
odim`1`x`(Color)->_$`dPalette``463191
odimensionOfIrreducibleRepresentation`1`x`(List(Integer))->NonNegativeInteger`pIrrRepSymNatPackage``463283
odimension`0`n`()->CardinalNumber`xDirectProductCategory&(S,dim,R)``0
odimension`0`n`()->CardinalNumber`xFiniteAlgebraicExtensionField&(S,F)``0
odimension`0`x`()->CardinalNumber`cVectorSpace(S)``463511
odimension`0`x`()->NonNegativeInteger`dFreeNilpotentLie(n,class,R)``463585
odimension`1`n`(_$)->NonNegativeInteger`dCell(TheField)``463643
odimension`1`n`(_$)->PositiveInteger`cSPointCategory``463700
odimension`1`x`(_$)->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``463802
odimension`1`x`(_$)->PositiveInteger`cPointCategory(R)``463953
odimension`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``464034
odimension`2`x`(_$,List(VarSet))->Integer`dPolynomialIdeal(F,Expon,VarSet,DPoly)``464248
odimension`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
odimension`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``464355
odimensionsOf`1`n`(_$)->List(Polynomial(Integer))`dFortranType``464535
odimensions`5`n`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``464600
odimensions`5`x`(_$,NonNegativeInteger,NonNegativeInteger,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``465060
odioSolve`1`x`(Equation(Polynomial(Integer)))->Record(varOrder:List(Symbol),inhom:Union(List(Vector(NonNegativeInteger)),"failed"),hom:List(Vector(NonNegativeInteger)))`pDiophantineSolutionPackage``465524
odiophantineSystem`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pSmithNormalForm(R,Row,Col,M)``465701
odirectProduct`1`x`(Vector(R))->_$`cDirectProductCategory(dim,R)``465832
odirectProduct`2`n`(_$,_$)->_$`dGroupPresentation``465976
odirectSum`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`466018
odirectSum`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``466215
odirectedGraph`1`n`(FinitePoset(S))->_$`dDirectedGraph(S)``466452
odirectedGraph`1`n`(List(Permutation(S)))->_$`dDirectedGraph(S)``466607
odirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dDirectedGraph(S)``466702
odirectedGraph`1`n`(List(S))->_$`dDirectedGraph(S)``466849
odirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dDirectedGraph(S)``467125
odirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dDirectedGraph(S)``467276
odirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dDirectedGraph(S)``467379
odirection`1`n`(String)->Integer`pToolsForSign(R)``467566
odirections`1`n`(_$)->List(JB)`dJetVectorField(JB,D)``467607
odirectory`1`x`(_$)->String`cFileNameCategory``467724
odiscreteLog`1`n`(S)->NonNegativeInteger`xFiniteFieldCategory&(S)``0
odiscreteLog`1`x`(_$)->NonNegativeInteger`cFiniteFieldCategory``467796
odiscreteLog`2`n`(S,S)->Union(NonNegativeInteger,"failed")`xFiniteFieldCategory&(S)``0
odiscreteLog`2`x`(_$,_$)->Union(NonNegativeInteger,"failed")`cFieldOfPrimeCharacteristic``467925
odiscriminantEuclidean`1`n`(polR)->Record(coef1:polR,coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``468025
odiscriminantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
odiscriminant`0`n`()->Integer`pNumberFieldIntegralBasis(UP,F)``468140
odiscriminant`0`n`()->R`xComplexCategory&(S,R)``0
odiscriminant`0`n`()->R`xFramedAlgebra&(S,R,UP)``468284
odiscriminant`0`x`()->R`cFramedAlgebra(R,UP)``468343
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)``468402
odiscriminant`1`x`(Vector(_$))->R`cFiniteRankAlgebra(R,UP)``468470
odiscriminant`1`x`(_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`468574
odiscriminant`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
odiscriminant`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`468657
odispGenerators`1`n`(_$)->OutputForm`dHomology``468782
odispStatement`1`n`(OutputForm)->Void`pFortranCodeTools``468826
odisplayKind`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``468858
odisplayKind`1`x`(Symbol)->_$`dGuessOption``469052
odisplayLines`1`n`(List(String))->Void`pFortranCodeTools``469246
odisplay`1`n`(String)->Void`dHTMLFormat``469276
odisplay`1`n`(_$)->Void`cOutputFormatterCategory``469339
odisplay`1`n`(_$)->Void`dJetDifferentialEquation(JB,D)``469391
odisplay`1`x`(String)->Void`dMathMLFormat``469739
odisplay`1`x`(String)->Void`dTexmacsFormat``469810
odisplay`1`x`(_$)->Union((List(OutputForm))->OutputForm,"failed")`dBasicOperator``469881
odisplay`1`x`(_$)->Void`dDatabase(S)``470003
odisplay`1`x`(_$)->Void`dIndexCard``470080
odisplay`1`x`(_$)->Void`dScriptFormulaFormat``470166
odisplay`1`x`(_$)->Void`dTexFormat``470346
odisplay`2`x`(_$,(List(OutputForm))->OutputForm)->_$`dBasicOperator``470530
odisplay`2`x`(_$,(OutputForm)->OutputForm)->_$`dBasicOperator``470759
odisplay`2`x`(_$,Integer)->Void`dScriptFormulaFormat``470996
odisplay`2`x`(_$,Integer)->Void`dTexFormat``471134
odistFact`6`n`(Z,List(SparseUnivariatePolynomial(Z)),Record(contp:Z,factors:List(Record(irr:P,pow:Integer))),List(Z),List(OV),List(Z))->Union(Record(polfac:List(P),correct:Z,corrfact:List(SparseUnivariatePolynomial(Z))),"failed")`pLeadingCoefDetermination(OV,E,Z,P)``471276
odistanceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
odistanceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``471807
odistanceSquared`2`n`(_$,_$)->DoubleFloat`cSPointCategory``472350
odistanceWeighted`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(W,"disjoint")`dWeightedGraph(S,W)``472614
odistance`2`n`(A,A)->Integer`xBinaryTreeCategory&(A,S)``0
odistance`2`n`(A,A)->Integer`xLazyStreamAggregate&(A,S)``0
odistance`2`n`(S,S)->DoubleFloat`xSPointCategory&(S)``0
odistance`2`n`(_$,_$)->DoubleFloat`cSPointCategory``472690
odistance`2`x`(_$,_$)->Integer`cRecursiveAggregate(S)``472983
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xFiniteGraph&(A,S)``0
odistance`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Integer`xPoset&(A,S)``0
odistance`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Integer`cFiniteGraph(S)``473083
odistdfact`2`x`(FP,Boolean)->Record(cont:F,factors:List(Record(irr:FP,pow:Integer)))`pDistinctDegreeFactorize(F,FP)``473287
odistinct_partition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``473505
odistinct_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``473833
odistinct_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``473951
odistribute`1`n`(S)->S`xExpressionSpace&(S)``0
odistribute`1`x`(_$)->_$`cExpressionSpace``474190
odistribute`2`n`(S,S)->S`xExpressionSpace&(S)``0
odistribute`2`x`(_$,_$)->_$`cExpressionSpace``474373
odistributionByBooleanCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``474608
odistributionByBooleanCumulants`1`x`(Stream(R))->_$`dDistribution(R)``474722
odistributionByClassicalCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``474836
odistributionByClassicalCumulants`1`x`(Stream(R))->_$`dDistribution(R)``474947
odistributionByEvenMoments`1`x`(Sequence(R))->_$`dDistribution(R)``475058
odistributionByEvenMoments`1`x`(Stream(R))->_$`dDistribution(R)``475183
odistributionByFreeCumulants`1`x`(Sequence(R))->_$`dDistribution(R)``475308
odistributionByFreeCumulants`1`x`(Stream(R))->_$`dDistribution(R)``475416
odistributionByJacobiParameters`2`x`(Sequence(R),Sequence(R))->_$`dDistribution(R)``475524
odistributionByJacobiParameters`2`x`(Stream(R),Stream(R))->_$`dDistribution(R)``475652
odistributionByMoments`1`x`(Sequence(R))->_$`dDistribution(R)``475780
odistributionByMoments`1`x`(Stream(R))->_$`dDistribution(R)``475875
odistributionByMonotoneCumulants`1`x`(Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`475970
odistributionByMonotoneCumulants`1`x`(Stream(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`476086
odistributionBySTransform`1`x`(Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R)))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`476202
odistributionBySTransform`1`x`(UPSR)->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``476319
odistributionBySTransform`3`x`(Fraction(Integer),Fraction(Integer),Sequence(R))->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`476470
odivergence`2`n`(FLAF,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``476587
odivide!`4`n`(U32Vector,U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``476744
odivideExponents`2`x`(_$,NonNegativeInteger)->Union(_$,"failed")`cUnivariatePolynomialCategory(R)``476772
odivideIfCan!`4`n`(Matrix(R),Matrix(R),R,Integer)->R`pIntegralBasisTools(R,UP,F)``477007
odivideIfCan`2`n`(UP,UP)->Union(Record(quotient:UP,remainder:UP),"failed")`pUnivariatePolynomialDivisionPackage(R,UP)``477349
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xComplexCategory&(S,R)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xField&(S)``0
odivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
odivide`2`n`(_$,_$)->Union(Record(lm:_$,rm:_$),"failed")`dFreeMonoid(S)``477491
odivide`2`n`(polR,polR)->Record(quotient:polR,remainder:polR)`pPseudoRemainderSequence(R,polR)``477716
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cEuclideanDomain``477829
odivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`dNonNegativeInteger``478064
odivisorCascade`2`n`(UP,UP)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``478150
odivisorCascade`3`n`(UP,UP,Boolean)->List(Record(factors:List(UP),error:R))`pComplexRootFindingPackage(R,UP)``478521
odivisor`1`x`(FractionalIdeal(UP,Fraction(UP),UPUP,R))->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``478972
odivisor`1`x`(R)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``479046
odivisor`2`x`(F,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``479117
odivisor`3`x`(F,F,Integer)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``479232
odivisor`5`x`(R,UP,UP,UP,F)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``479410
odivisors`1`x`(Integer)->List(Integer)`pIntegerNumberTheoryFunctions``479732
odmp2rfi`1`n`(GR)->Fraction(Polynomial(R))`pParametricLinearEquations(R,Var,Expon,GR)``479802
odmp2rfi`1`n`(List(GR))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``479862
odmp2rfi`1`n`(Matrix(GR))->Matrix(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``479922
odmpToHdmp`1`n`(DistributedMultivariatePolynomial(lv,R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``479982
odmpToP`1`n`(DistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``480071
odoFactor`3`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer,Boolean)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``480157
odo_liou`2`n`(BasicOperator,List(Complex(F)))->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``480399
odo_modular_solve`6`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,U32Vector,Integer,Symbol)->Union(Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_param_RDE`5`n`(F,F,List(F),Symbol,List(Kernel(F)))->Union(Record(ratpart:F,coeffs:Vector(F)),"failed")`pElementaryRischDEX2(R,F)``480464
odo_poly_integer`8`n`(List(Symbol),List(PrimitiveArray(Fraction(Polynomial(Integer)))),Vector(Integer),NonNegativeInteger,U32Vector,Symbol,Symbol,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->Union(Record(defects:Vector(Integer),cinds:Vector(Integer),rowlen:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:PrimitiveArray(Integer)),"no_solution")`pInnerModularHermitePade``0
odo_quo`2`n`(PS,PS)->Union(PS,"failed")`dElementaryFunctionsGeneralizedUnivariatePowerSeries(Coef,Expon,PS)``0
odo_risch_DE`4`n`(F,F,Symbol,List(Kernel(F)))->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``480849
odo_with_error_env1`1`n`(()->List(String))->List(String)`pFortranCodeTools``481146
odo_with_error_env2`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``481182
odo_with_error_env3`2`n`(Boolean,()->List(String))->List(String)`pFortranCodeTools``481236
odom`1`x`(_$)->SExpression`dAny``481290
odomainOf`1`x`(_$)->OutputForm`dAny``481416
odominantTerm`1`n`(_$)->Union(Record(%term:Record(%coef:UnivariatePuiseuxSeries(FE,var,cen),%expon:ExponentialOfUnivariatePuiseuxSeries(FE,var,cen),%expTerms:List(Record(k:Fraction(Integer),c:FE))),%type:String),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``481540
odot`1`n`(_$)->_$`dOutputForm``481949
odot`2`n`(Point(DoubleFloat),Point(DoubleFloat))->DoubleFloat`pTubePlotTools``482012
odot`2`n`(S,S)->R`xVectorCategory&(S,R)``0
odot`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``482195
odot`2`x`(_$,_$)->R`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`482276
odot`2`x`(_$,_$)->R`cVectorCategory(R)`AND(has(R,AbelianMonoid),has(R,SemiRng))`482367
odouble?`1`n`(_$)->Boolean`dFortranScalarType``482522
odoubleComplex?`1`n`(_$)->Boolean`dFortranScalarType``482621
odoubleDisc`1`n`(UPUP)->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``482741
odoubleFloatFormat`1`x`(String)->String`dDoubleFloat``482783
odoubleRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``482858
odoubleResultant`2`n`(R,(UP)->UP)->UP`pDoubleResultantPackage(F,UP,UPUP,R)``483026
odouble`2`n`(PositiveInteger,S)->S`pRepeatedDoubling(S)``483216
odoublyTransitive?`1`x`(UP)->Boolean`pAlgFactor(UP)``483302
odrawComplexVectorField`3`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->ThreeDimensionalViewport`pDrawComplex``483525
odrawComplex`4`x`((Complex(DoubleFloat))->Complex(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Boolean)->ThreeDimensionalViewport`pDrawComplex``484264
odrawCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->TwoDimensionalViewport`pViewportPackage``485123
odrawCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->TwoDimensionalViewport`pViewportPackage``485360
odrawStyle`2`x`(_$,String)->Void`dThreeDimensionalViewport``485792
odrawToScale`0`x`()->Boolean`pGraphicsDefaults``486190
odrawToScale`1`x`(Boolean)->Boolean`pGraphicsDefaults``486276
odraw`1`x`(List(Point(DoubleFloat)))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``486473
odraw`2`x`((DoubleFloat)->DoubleFloat,Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``486559
odraw`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``486690
odraw`2`x`(Ex,SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``486840
odraw`2`x`(List(DoubleFloat),List(DoubleFloat))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``487016
odraw`2`x`(List(Point(DoubleFloat)),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``487159
odraw`2`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``487338
odraw`2`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``487514
odraw`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``487748
odraw`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``487946
odraw`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``488200
odraw`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``488424
odraw`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``488662
odraw`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``488872
odraw`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``489188
odraw`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``489459
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``489728
odraw`3`x`(List(DoubleFloat),List(DoubleFloat),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForPoints``489896
odraw`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``490132
odraw`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctions(Ex)``490401
odraw`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``490730
odraw`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``491016
odraw`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``491369
odraw`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``491669
odraw`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492035
odraw`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``492342
odraw`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->TwoDimensionalViewport`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``492659
odraw`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``492862
odraw`4`x`(List(DoubleFloat),List(DoubleFloat),List(DoubleFloat),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForPoints``493226
odraw`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctionsForCompiledFunctions``493471
odraw`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeDimensionalViewport`pTopLevelDrawFunctions(Ex)``493869
odroot`1`n`(List(F))->OutputForm`pAlgebraicFunction(R,F)``494344
odunceHat`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``494402
odunceHat`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``494451
oduplicates?`1`n`(_$)->Boolean`dListMultiDictionary(S)``494505
oduplicates`1`x`(_$)->List(Record(entry:S,count:NonNegativeInteger))`cMultiDictionary(S)``494586
oeFromBinaryMap`1`x`(NonNegativeInteger)->_$`dCliffordAlgebra(n,K,bLin)``494673
oePseudoscalar`0`x`()->_$`dCliffordAlgebra(n,K,bLin)``494876
oe`1`x`(PositiveInteger)->_$`dCliffordAlgebra(n,K,bLin)``494901
oee`1`x`(List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``495058
oei_int`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX(R,F)``495099
oeigenMatrix`1`x`(Matrix(Fraction(Polynomial(Integer))))->Union(Matrix(Expression(Integer)),"failed")`pRadicalEigenPackage``495357
oeigenvalues`1`n`(Matrix(F))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`495502
oeigenvalues`1`x`(Matrix(Fraction(Polynomial(R))))->List(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))))`pEigenPackage(R)``495579
oeigenvalues`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Union(F,SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``495656
oeigenvector`2`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``495887
oeigenvector`2`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))))->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``496018
oeigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`496149
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)``496511
oeigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``496870
oeisensteinIrreducible?`1`n`(UP)->Boolean`pGaloisGroupFactorizer(UP)``497290
oelColumn2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``497459
oelRow1!`3`x`(M,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``497618
oelRow2!`4`x`(M,R,Integer,Integer)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``497742
oelem?`1`n`(_$)->Boolean`dIntegrationResult(F)``497892
oelement?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``497976
oelement`3`n`(M,Integer,Integer)->M`pMatrixManipulation(R,Row,Col,M)``498076
oelementary`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``498185
oelements`1`n`(_$)->List(PositiveInteger)`dSetOfMIntegersInOneToN(m,n)``498309
oelimZeroCols!`1`n`(_$)->Void`dSparseEchelonMatrix(C,D)``498401
oellipseBoundary`2`n`(PT,PT)->_$`dSBoundary(PT)``498537
oellipticCylindrical`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``498776
oellipticE`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``499053
oellipticE`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``499205
oellipticE`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``499285
oellipticE`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``499366
oellipticE`1`x`(Float)->Float`pFloatEllipticFunctions``499446
oellipticE`1`x`(_$)->_$`cSpecialFunctionCategory``499527
oellipticE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``499680
oellipticE`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`499844
oellipticE`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``499947
oellipticE`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``500035
oellipticE`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``500123
oellipticE`2`x`(Float,Float)->Float`pFloatEllipticFunctions``500211
oellipticE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``500299
oellipticF`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``500464
oellipticF`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`500628
oellipticF`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``500731
oellipticF`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``500818
oellipticF`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``500905
oellipticF`2`x`(Float,Float)->Float`pFloatEllipticFunctions``500992
oellipticF`2`x`(_$,_$)->_$`cSpecialFunctionCategory``501079
oellipticK`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``501244
oellipticK`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``501395
oellipticK`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``501482
oellipticK`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``501562
oellipticK`1`x`(Float)->Float`pFloatEllipticFunctions``501647
oellipticK`1`x`(_$)->_$`cSpecialFunctionCategory``501727
oellipticPi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``501879
oellipticPi`3`n`(UTS,Coef,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)`has(Coef,Algebra(Fraction(Integer)))`502066
oellipticPi`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``502176
oellipticPi`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502269
oellipticPi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``502362
oellipticRC`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``502550
oellipticRC`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502663
oellipticRD`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``502776
oellipticRD`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``502909
oellipticRF`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``503042
oellipticRF`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``503175
oellipticRJ`4`x`(Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatEllipticIntegrals``503308
oellipticRJ`4`x`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatEllipticIntegrals``503478
oelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``503627
oelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``503753
oelliptic`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``503879
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`10`n`(BasicOperator,S,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`10`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``504105
oelt`1`n`(_$)->S`dReference(S)``504318
oelt`1`x`(_$)->R`dCartesianTensor(minix,dim,R)``504368
oelt`2`n`(A,"first")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"first")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"last")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"left")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"rest")->A`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"right")->A`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xBinaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xRecursiveAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,"value")->S`xUnaryRecursiveAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,Integer)->S`xStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xLazyStreamAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xOneDimensionalArrayAggregate&(A,S)``0
oelt`2`n`(A,UniversalSegment(Integer))->A`xStreamAggregate&(A,S)``0
oelt`2`n`(BasicOperator,List(S))->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,List(S))->S`xFunctionSpace&(S,R)``0
oelt`2`n`(BasicOperator,List(_$))->_$`dPattern(R)``504429
oelt`2`n`(BasicOperator,S)->S`xExpressionSpace&(S)``0
oelt`2`n`(BasicOperator,S)->S`xFunctionSpace&(S,R)``0
oelt`2`n`(Fraction(S),Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(Fraction(S),R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Fraction(S))->Fraction(S)`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,Index)->Entry`xIndexedAggregate&(S,Index,Entry)``0
oelt`2`n`(S,Integer)->Character`xStringAggregate&(S)``0
oelt`2`n`(S,Key)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`2`n`(S,R)->R`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,R)->S`xFullyEvalableOver&(S,R)``0
oelt`2`n`(S,S)->S`xStringAggregate&(S)``0
oelt`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
oelt`2`n`(S,UniversalSegment(Integer))->S`xStringAggregate&(S)``0
oelt`2`n`(_$,Integer)->R`cSequenceCategory(R)``504508
oelt`2`n`(_$,List(_$))->_$`dOutputForm``504581
oelt`2`n`(_$,R)->R`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``504683
oelt`2`x`(BasicOperator,List(_$))->_$`cExpressionSpace``504744
oelt`2`x`(BasicOperator,_$)->_$`cExpressionSpace``504911
oelt`2`x`(Fraction(_$),Fraction(_$))->Fraction(_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`505011
oelt`2`x`(Fraction(_$),R)->R`cUnivariatePolynomialCategory(R)`has(R,Field)`505149
oelt`2`x`(_$,"count")->NonNegativeInteger`dDataList(S)``505300
oelt`2`x`(_$,"first")->S`cUnaryRecursiveAggregate(S)``505368
oelt`2`x`(_$,"last")->S`cUnaryRecursiveAggregate(S)``505465
oelt`2`x`(_$,"left")->_$`cBinaryRecursiveAggregate(S)``505559
oelt`2`x`(_$,"rest")->_$`cUnaryRecursiveAggregate(S)``505654
oelt`2`x`(_$,"right")->_$`cBinaryRecursiveAggregate(S)``505747
oelt`2`x`(_$,"sort")->_$`dDataList(S)``505845
oelt`2`x`(_$,"unique")->_$`dDataList(S)``505935
oelt`2`x`(_$,"value")->S`cRecursiveAggregate(S)``506045
oelt`2`x`(_$,DirectProduct(n,K))->K`dQuadraticForm(n,K)``506142
oelt`2`x`(_$,Expon)->Coef`cUnivariatePowerSeriesCategory(Coef,Expon)``506254
oelt`2`x`(_$,Integer)->R`cFramedNonAssociativeAlgebra(R)``506410
oelt`2`x`(_$,Integer)->R`dCartesianTensor(minix,dim,R)``506533
oelt`2`x`(_$,Integer)->_$`cSExpressionCategory(Str,Sym,Int,Flt)``506597
oelt`2`x`(_$,List(Integer))->R`dCartesianTensor(minix,dim,R)``506665
oelt`2`x`(_$,List(Integer))->_$`cSExpressionCategory(Str,Sym,Int,Flt)``506752
oelt`2`x`(_$,List(OutputForm))->_$`dSymbol``506848
oelt`2`x`(_$,NonNegativeInteger)->Permutation(S)`dPermutationGroup(S)``506986
oelt`2`x`(_$,QueryEquation)->_$`dDatabase(S)``507070
oelt`2`x`(_$,S)->Im`cEltable(S,Im)``507155
oelt`2`x`(_$,S)->S`cPermutationCategory(S)``507318
oelt`2`x`(_$,Symbol)->Any`dLibrary``507407
oelt`2`x`(_$,Symbol)->DataList(String)`dDatabase(S)``507540
oelt`2`x`(_$,Symbol)->String`dIndexCard``507624
oelt`2`x`(_$,_$)->_$`cStringAggregate``507816
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`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Integer,List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Key,Entry)->Entry`xTableAggregate&(S,Key,Entry)``0
oelt`3`n`(S,List(Integer),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,List(Segment(Integer)),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),List(Segment(Integer)))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(S,Segment(Integer),Segment(Integer))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`3`n`(_$,Integer,C)->D`dSparseEchelonMatrix(C,D)``508032
oelt`3`x`(BasicOperator,_$,_$)->_$`cExpressionSpace``508159
oelt`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)``508290
oelt`3`x`(_$,F,F)->F`cFunctionFieldCategory(F,UP,UPUP)``508634
oelt`3`x`(_$,F,PositiveInteger)->F`dRewriteRule(Base,R,F)``508782
oelt`3`x`(_$,F,PositiveInteger)->F`dRuleset(Base,R,F)``508909
oelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``509044
oelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``509212
oelt`3`x`(_$,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``509386
oelt`3`x`(_$,Integer,List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509455
oelt`3`x`(_$,Integer,List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509738
oelt`3`x`(_$,List(Integer),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``509945
oelt`3`x`(_$,List(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510228
oelt`3`x`(_$,List(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510605
oelt`3`x`(_$,List(Segment(Integer)),Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510747
oelt`3`x`(_$,List(Segment(Integer)),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``510954
oelt`3`x`(_$,List(Segment(Integer)),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``511153
oelt`3`x`(_$,Segment(Integer),List(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``511351
oelt`3`x`(_$,Segment(Integer),List(Segment(Integer)))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``511493
oelt`3`x`(_$,Segment(Integer),Segment(Integer))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``511691
oelt`4`n`(BasicOperator,S,S,S)->S`xExpressionSpace&(S)``0
oelt`4`n`(BasicOperator,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oelt`4`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->R`dThreeDimensionalMatrix(R)``511833
oelt`4`x`(BasicOperator,_$,_$,_$)->_$`cExpressionSpace``511913
oelt`4`x`(_$,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``512074
oelt`4`x`(_$,Integer,Integer,R)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``512148
oelt`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``512367
oelt`5`n`(BasicOperator,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`5`n`(BasicOperator,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`5`x`(BasicOperator,_$,_$,_$,_$)->_$`cExpressionSpace``512584
oelt`5`x`(_$,Integer,Integer,Integer,Integer)->R`dCartesianTensor(minix,dim,R)``512772
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`6`n`(BasicOperator,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`6`x`(BasicOperator,_$,_$,_$,_$,_$)->_$`cExpressionSpace``512851
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`7`n`(BasicOperator,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`7`x`(BasicOperator,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``512996
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`8`n`(BasicOperator,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`8`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``513158
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xExpressionSpace&(S)``0
oelt`9`n`(BasicOperator,S,S,S,S,S,S,S,S)->S`xFunctionSpace&(S,R)``0
oelt`9`x`(BasicOperator,_$,_$,_$,_$,_$,_$,_$,_$)->_$`cExpressionSpace``513337
oeltable?`1`n`(F)->Boolean`pRecurrenceOperator(R,F)``513533
oempty?`1`n`(S)->Boolean`xAggregate&(S)``0
oempty?`1`n`(S)->Boolean`xFacetCategory&(S)``0
oempty?`1`n`(_$)->Boolean`cFacetCategory``513637
oempty?`1`n`(_$)->Boolean`dLatticeJoinOfMeets``513706
oempty?`1`n`(_$)->Boolean`dLatticeMeetOfJoins``513734
oempty?`1`n`(_$)->Boolean`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``513762
oempty?`1`n`(_$)->Boolean`dSplittingNode(V,C)``513886
oempty?`1`n`(_$)->Boolean`dXmlElement``513975
oempty?`1`x`(_$)->Boolean`cAggregate``514062
oemptyLattice`0`n`()->_$`dLatticeJoinOfMeets``514120
oemptyLattice`0`n`()->_$`dLatticeMeetOfJoins``514154
oempty`0`n`()->_$`dOutputForm``514188
oempty`0`n`()->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``514233
oempty`0`n`()->_$`dSplittingNode(V,C)``514293
oempty`0`n`()->_$`dSymbolTable``514382
oempty`0`n`()->_$`dTheSymbolTable``514440
oempty`0`x`()->_$`cAggregate``514499
oempty`1`n`(Integer)->_$`dVectorIntegerReconstructor``514691
oempty`2`n`(Integer,Integer)->_$`dVectorModularReconstructor``514757
oendOfFile?`1`x`(_$)->Boolean`dTextFile``514855
oendSubProgram`0`n`()->Symbol`dTheSymbolTable``515028
oenqueue!`2`x`(S,_$)->S`cQueueAggregate(S)``515123
oenterInCache`2`n`(S,(S)->Boolean)->S`pSortedCache(S)``515212
oenterInCache`2`n`(S,(S,S)->Integer)->S`pSortedCache(S)``515407
oenterPointData`2`x`(_$,List(Point(R)))->NonNegativeInteger`cThreeSpaceCategory(R)``515666
oentries`1`n`(A)->List(S)`xLazyStreamAggregate&(A,S)``0
oentries`1`n`(S)->List(Entry)`xIndexedAggregate&(S,Index,Entry)``0
oentries`1`n`(S)->List(Entry)`xTableAggregate&(S,Key,Entry)``0
oentries`1`n`(_$)->List(NonNegativeInteger)`dLoop``515884
oentries`1`x`(_$)->List(Entry)`cIndexedAggregate(Index,Entry)``515954
oentry?`2`n`(Entry,S)->Boolean`xIndexedAggregate&(S,Index,Entry)``0
oentry?`2`x`(Entry,_$)->Boolean`cIndexedAggregate(Index,Entry)`AND(has(_$,finiteAggregate),has(Entry,BasicType))`516056
oenumerate`0`n`()->List(S)`xFinite&(S)``0
oenumerate`0`n`()->Vector(_$)`dSetOfMIntegersInOneToN(m,n)``516148
oenumerate`0`x`()->List(_$)`cFinite``516244
oepilogue`1`x`(_$)->List(String)`dScriptFormulaFormat``516307
oepilogue`1`x`(_$)->List(String)`dTexFormat``516395
oeq?`2`n`(S,S)->Boolean`xAggregate&(S)``0
oeq?`2`x`(_$,_$)->Boolean`cAggregate``516475
oeqRep?`2`n`(_$,_$)->Boolean`dJetLazyFunction(JB,D)``516550
oeq`2`x`(_$,_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``516751
oequality`2`x`(_$,(_$,_$)->Boolean)->_$`dBasicOperator``516843
oequation`2`x`(S,S)->_$`dEquation(S)``517147
oequation`2`x`(Symbol,Segment(S))->_$`dSegmentBinding(S)``517199
oequation`2`x`(Symbol,String)->_$`dQueryEquation``517374
oerf`1`n`(F)->F`pLiouvillianFunction(R,F)``517430
oerf`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``517478
oerf`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerf`1`x`(Float)->Float`pFloatLiouvilianFunctions``517526
oerf`1`x`(_$)->_$`cLiouvillianFunctionCategory``517574
oerfi`1`n`(F)->F`pLiouvillianFunction(R,F)``517727
oerfi`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``517780
oerfi`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oerfi`1`x`(Float)->Float`pFloatLiouvilianFunctions``517833
oerfi`1`x`(_$)->_$`cLiouvillianFunctionCategory``517886
oerrorInfo`1`x`(_$)->List(Symbol)`dOpenMathError``517939
oerrorKind`1`x`(_$)->OpenMathErrorKind`dOpenMathError``518012
oerror`1`x`(List(String))->Exit`pErrorFunctions``518092
oerror`1`x`(String)->Exit`pErrorFunctions``518169
oerror`2`x`(String,List(String))->Exit`pErrorFunctions``518244
oerror`2`x`(String,String)->Exit`pErrorFunctions``518408
oescape`0`x`()->_$`dCharacter``518576
oeuclideanGroebner`1`x`(List(Dpol))->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``518717
oeuclideanGroebner`2`x`(List(Dpol),String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``518874
oeuclideanGroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``519209
oeuclideanNormalForm`2`x`(Dpol,List(Dpol))->Dpol`pEuclideanGroebnerBasisPackage(Dom,Expon,VarSet,Dpol)``519516
oeuclideanSize`1`n`(S)->NonNegativeInteger`xComplexCategory&(S,R)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xField&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xIntegerNumberSystem&(S)``0
oeuclideanSize`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oeuclideanSize`1`x`(_$)->NonNegativeInteger`cEuclideanDomain``519701
oeulerE`2`x`(NonNegativeInteger,R)->R`pNumberTheoreticPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`519812
oeulerPhi`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``519903
oeuler`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``520120
oeuler`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``520442
oeval1`1`n`(_$)->_$`dJetLazyFunction(JB,D)``520595
oeval1`4`n`(MP,Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->MP`cModularEvaluationCategory(PT,MP)``520707
oeval1`4`n`(Polynomial(Integer),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Polynomial(Integer)`pPolynomialEvaluationUtilities``520848
oeval1`4`n`(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),Symbol,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``521047
oeval1a`3`n`(MP,Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`cModularEvaluationCategory(PT,MP)``521267
oeval1a`3`n`(Polynomial(Integer),Integer,Record(prime:Integer,eval1coeffbuf:U32Vector,eval1expbuf:SortedExponentVector))->Integer`pPolynomialEvaluationUtilities``521411
oeval_at`4`n`(U32Vector,Integer,Integer,Integer)->Integer`pU32VectorPolynomialOperations``521648
oeval`1`n`(S)->S`xFunctionSpace&(S,R)``0
oeval`1`n`(_$)->_$`dJetLazyFunction(JB,D)``521822
oeval`1`x`(SymmetricPolynomial(Fraction(Integer)))->Fraction(Integer)`pCycleIndicators``521929
oeval`1`x`(_$)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`521999
oeval`2`n`((Integer)->F,SymmetricPolynomial(Fraction(Integer)))->F`pEvaluateCycleIndicators(F)``522068
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)``522296
oeval`2`n`(_$,D)->D`dJetVectorField(JB,D)``522443
oeval`2`n`(_$,F)->F`dMoebiusTransform(F)``522530
oeval`2`n`(_$,JetVectorField(JB,D))->D`dJetDifferential(JB,D)``522682
oeval`2`n`(_$,OnePointCompletion(F))->OnePointCompletion(F)`dMoebiusTransform(F)``522775
oeval`2`x`(Distribution(R),UPS)->S`pDistributionPolynomialPackage(R,S,UPS)``522927
oeval`2`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``523075
oeval`2`x`(Fraction(Polynomial(R)),List(Equation(Fraction(Polynomial(R)))))->Fraction(Polynomial(R))`pRationalFunction(R)``523195
oeval`2`x`(MxN,(M,N)->S)->S`cTensorProductProperty(R,M,N,MxN,S)``523458
oeval`2`x`(_$,Coef)->Stream(Coef)`cUnivariatePowerSeriesCategory(Coef,Expon)`has(Coef,SIGNATURE(^,Coef(Coef,Expon)))`523559
oeval`2`x`(_$,Equation(R))->_$`cEvalable(R)``523680
oeval`2`x`(_$,List(Equation(R)))->_$`cEvalable(R)``523754
oeval`2`x`(_$,List(Symbol))->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`523852
oeval`2`x`(_$,List(_$))->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`523950
oeval`2`x`(_$,S)->S`cPermutationCategory(S)``524054
oeval`2`x`(_$,Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`524144
oeval`2`x`(_$,_$)->_$`dEquation(S)`AND(has(S,Evalable(S)),has(S,SetCategory))`524216
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)``524301
oeval`3`x`(Fraction(Polynomial(R)),List(Symbol),List(Fraction(Polynomial(R))))->Fraction(Polynomial(R))`pRationalFunction(R)``524383
oeval`3`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunction(R)``524616
oeval`3`x`(_$,A,B)->_$`cInnerEvalable(A,B)``524701
oeval`3`x`(_$,BasicOperator,(List(_$))->_$)->_$`cExpressionSpace``524776
oeval`3`x`(_$,BasicOperator,(_$)->_$)->_$`cExpressionSpace``524927
oeval`3`x`(_$,List(A),List(B))->_$`cInnerEvalable(A,B)``525031
oeval`3`x`(_$,List(BasicOperator),List((List(_$))->_$))->_$`cExpressionSpace``525140
oeval`3`x`(_$,List(BasicOperator),List((_$)->_$))->_$`cExpressionSpace``525341
oeval`3`x`(_$,List(Symbol),List((List(_$))->_$))->_$`cExpressionSpace``525493
oeval`3`x`(_$,List(Symbol),List((_$)->_$))->_$`cExpressionSpace``525694
oeval`3`x`(_$,List(VarSet),List(_$))->_$`cFreeLieAlgebra(VarSet,R)``525846
oeval`3`x`(_$,Symbol,(List(_$))->_$)->_$`cExpressionSpace``525969
oeval`3`x`(_$,Symbol,(_$)->_$)->_$`cExpressionSpace``526120
oeval`3`x`(_$,VarSet,_$)->_$`cFreeLieAlgebra(VarSet,R)``526224
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)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`526299
oeval`4`x`(_$,List(BasicOperator),List(_$),Symbol)->_$`cFunctionSpace(R)`has(R,ConvertibleTo(InputForm))`526443
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((List(_$))->_$))->_$`cFunctionSpace(R)`has(R,Ring)`526635
oeval`4`x`(_$,List(Symbol),List(NonNegativeInteger),List((_$)->_$))->_$`cFunctionSpace(R)`has(R,Ring)`526853
oeval`4`x`(_$,Symbol,NonNegativeInteger,(List(_$))->_$)->_$`cFunctionSpace(R)`has(R,Ring)`527029
oeval`4`x`(_$,Symbol,NonNegativeInteger,(_$)->_$)->_$`cFunctionSpace(R)`has(R,Ring)`527182
oevaluateInverse`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluateInverse`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``527293
oevaluate`1`x`(BasicOperator)->Union((List(A))->A,"failed")`pBasicOperatorFunctions1(A)``527345
oevaluate`2`n`(_$,(R)->R)->_$`dOperator(R)``0
oevaluate`2`x`(BasicOperator,(A)->A)->BasicOperator`pBasicOperatorFunctions1(A)``527469
oevaluate`2`x`(BasicOperator,(List(A))->A)->BasicOperator`pBasicOperatorFunctions1(A)``527703
oevaluate`2`x`(BasicOperator,List(A))->Union(A,"failed")`pBasicOperatorFunctions1(A)``527940
oevaluate`2`x`(_$,(M)->M)->_$`dModuleOperator(R,M)``528124
oeven?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oeven?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oeven?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`528451
oeven?`1`x`(_$)->Boolean`cIntegerNumberSystem``528520
oeven?`1`x`(_$)->Boolean`dPermutation(S)``528596
oevenInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``528727
oevenlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``528879
oevenlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oevenlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``529203
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`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,_$)->Boolean`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`529584
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``529900
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularField(R,Mod,reduction,merge,exactQuo)``529942
oexQuo`2`n`(_$,_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``529984
oexactQuotient!`2`n`(S,R)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oexactQuotient!`2`x`(_$,R)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`530026
oexactQuotient!`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`530114
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)`530201
oexactQuotient`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`530389
oexists?`1`x`(_$)->Boolean`cFileNameCategory``530577
oexp0`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``530647
oexp1`0`x`()->_$`dDoubleFloat``530846
oexp1`0`x`()->_$`dFloat``530919
oexpIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``530979
oexpPot`3`n`(Vector(GF),SingleInteger,SingleInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``531066
oexp_lower_bound`7`n`(SparseUnivariatePolynomial(F),LaurentPolynomial(F,SparseUnivariatePolynomial(F)),Integer,Integer,List(Kernel(F)),F,(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Integer`pParametricRischDE(R,F)``531538
oexp`1`n`(F)->F`pElementaryFunction(R,F)``531850
oexp`1`n`(LiePolynomial(VarSet,R))->_$`dLieExponentials(VarSet,R,Order)``531916
oexp`1`n`(List(Integer))->_$`dAntiSymm(R,lVar)``531974
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)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``532048
oexp`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``532124
oexp`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``532200
oexp`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``532273
oexp`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``532348
oexp`1`x`(_$)->_$`cElementaryFunctionCategory``532415
oexp`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``532478
oexp`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`532569
oexpa`1`n`(_$)->IntegerMod(n)`dDihedralGroup(n,a,b)``532665
oexpandLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``532757
oexpandPower`1`x`(F)->F`pTranscendentalManipulations(R,F)``532924
oexpandTrigProducts`1`x`(F)->F`pTranscendentalManipulations(R,F)`AND(has(R,ConvertibleTo(Pattern(R))),has(R,PatternMatchable(R)),has(F,ConvertibleTo(Pattern(R))),has(F,PatternMatchable(R)))`533037
oexpand`1`n`(_$)->XDistributedPolynomial(Symbol,R)`dXPolynomial(R)``0
oexpand`1`n`(_$)->XDistributedPolynomial(VarSet,R)`dXRecursivePolynomial(VarSet,R)``533434
oexpand`1`x`(F)->F`pTranscendentalManipulations(R,F)``533496
oexpand`1`x`(List(_$))->L`cSegmentExpansionCategory(S,L)``533904
oexpand`1`x`(_$)->L`cSegmentExpansionCategory(S,L)``534160
oexpand`1`x`(_$)->R`dFactored(R)``534349
oexpand`2`n`(Expression(R2),PositiveInteger)->List(Expression(R2))`pDegreeReductionPackage(R1,R2)``534562
oexpand`2`x`(IntegrationResult(F),Symbol)->List(F)`pIntegrationResultToFunction(R,F)``534664
oexpand`2`x`(IntegrationResult(Fraction(Polynomial(R))),Symbol)->List(Expression(R))`pIntegrationResultRFToFunction(R)``534776
oexpb`1`n`(_$)->IntegerMod(2)`dDihedralGroup(n,a,b)``534888
oexpextint`4`n`((UP)->UP,(Integer,List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``534989
oexpint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``535245
oexpintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(Integer,F)->Record(ans:F,right:F,primpart:F,sol?:Boolean))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``535337
oexplicitEntries?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``535568
oexplicitlyEmpty?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``535708
oexplicitlyFinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
oexplicitlyFinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``535873
oexplogs2trigs`1`n`(FG)->Complex(F)`pInnerTrigonometricManipulations(R,F,FG)``536075
oexponent`1`n`(_$)->E`dModuleMonomial(IS,E,ff)``536212
oexponent`1`n`(_$)->Integer`dCyclicGroup(n,g)``536252
oexponent`1`n`(_$)->Integer`dInfiniteCyclicGroup(g)``536329
oexponent`1`n`(_$)->Integer`dMachineFloat``536406
oexponent`1`n`(_$)->UnivariatePuiseuxSeries(FE,var,cen)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``536465
oexponent`1`x`(_$)->Integer`cFloatingPointSystem``536519
oexponent`1`x`(_$)->Integer`dFactored(R)``536619
oexponenta`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``536764
oexponentb`1`n`(_$)->Integer`dDihedralGroup(n,a,b)``536872
oexponential1`0`n`()->Float`pRandomFloatDistributions``536989
oexponentialOrder`1`n`(_$)->Fraction(Integer)`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``537032
oexponential`1`n`(Float)->()->Float`pRandomFloatDistributions``537144
oexponential`1`n`(UnivariatePuiseuxSeries(FE,var,cen))->_$`dExponentialOfUnivariatePuiseuxSeries(FE,var,cen)``537187
oexponents`1`n`(_$)->List(Integer)`dExtAlgBasis``537323
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``537484
oexprToGenUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``539592
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``541700
oexprToPS`5`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``541898
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``542096
oexprToPS`8`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"),Boolean,FE,(FE)->Boolean,(FE)->Boolean,(FE)->Boolean)->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``542479
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)``542862
oexprToUPS`3`n`(FE,Boolean,Union("complex","real: two sides","real: left side","real: right side","just do it"))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``544957
oexprToXXP`2`n`(FE,Boolean)->Union(%expansion:ExponentialExpansion(R,FE,x,cen),%problem:Record(func:String,prob:String))`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``547052
oexpr_to_series`3`n`(Expression(Integer),Kernel(Expression(Integer)),Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``547368
oexpressIdealMember`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
oexpressIdealMember`2`x`(List(_$),_$)->Union(List(_$),"failed")`cPrincipalIdealDomain``547434
oexpression2Fortran1`3`n`(()->Symbol,OutputForm,Boolean)->List(String)`pFortranCodeTools``547641
oexpression2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``547703
oexprex`1`n`(OutputForm)->String`dHTMLFormat``547740
oexprex`1`x`(OutputForm)->String`dMathMLFormat``547815
oexptMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``548237
oexpt`2`n`(S,PositiveInteger)->S`pRepeatedSquaring(S)``548359
oexquo`2`n`(S,R)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xMatrixCategory&(S,R,Row,Col)``0
oexquo`2`n`(S,R)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xComplexCategory&(S,R)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xEuclideanDomain&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xField&(S)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xFiniteAbelianMonoidRing&(S,R,E)``0
oexquo`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oexquo`2`n`(Stream(A),Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``548420
oexquo`2`n`(_$,_$)->_$`dOutputForm``548558
oexquo`2`x`(_$,R)->Union(_$,"failed")`cComplexCategory(R)`has(R,IntegralDomain)`548621
oexquo`2`x`(_$,R)->Union(_$,"failed")`cFiniteAbelianMonoidRing(R,E)`has(R,EntireRing)`548761
oexquo`2`x`(_$,R)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`548881
oexquo`2`x`(_$,R)->Union(_$,"failed")`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`549031
oexquo`2`x`(_$,R)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`549181
oexquo`2`x`(_$,_$)->Union(_$,"failed")`cEntireRing``549307
oexquo`2`x`(_$,_$)->Union(_$,"failed")`dNonNegativeInteger``549438
oextendIfCan`2`x`(_$,P)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``549580
oextendToPoint`2`n`(_$,PT)->_$`dSBoundary(PT)``550148
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)``550309
oextend`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``550410
oextend`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``550575
oextend`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``550674
oextend`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``550971
oextend`2`x`(_$,Integer)->_$`cLazyStreamAggregate(S)``551074
oextend`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``551311
oextend`2`x`(_$,Integer)->_$`dContinuedFraction(R)``551395
oextend`2`x`(_$,List(R))->_$`cPointCategory(R)``551575
oextend`2`x`(_$,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``551623
oextend`2`x`(_$,P)->_$`cTriangularSetCategory(R,E,V,P)``551719
oextendedCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``552012
oextendedEuclidean`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xEuclideanDomain&(S)``0
oextendedEuclidean`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cEuclideanDomain``552085
oextendedEuclidean`3`n`(S,S,S)->Union(Record(coef1:S,coef2:S),"failed")`xEuclideanDomain&(S)``0
oextendedEuclidean`3`x`(_$,_$,_$)->Union(Record(coef1:_$,coef2:_$),"failed")`cEuclideanDomain``552471
oextendedResultant`2`n`(_$,_$)->Record(resultant:R,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`552685
oextendedSubResultantGcd`2`n`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`552848
oextendedSubResultantGcd`2`x`(_$,_$)->Record(gcd:_$,coef1:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`553035
oextended_gcd`3`n`(U32Vector,U32Vector,Integer)->List(U32Vector)`pU32VectorPolynomialOperations``553207
oextendedint`3`n`(F,Symbol,List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``553510
oextendedint`3`n`(Symbol,List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricIntegration(R,F)``553823
oextendedint`4`n`(F,Symbol,List(Kernel(F)),List(F))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricIntegration(R,F)``554047
oextensionDegree`0`n`()->OnePointCompletion(PositiveInteger)`xFiniteAlgebraicExtensionField&(S,F)``0
oextensionDegree`0`n`()->PositiveInteger`xFiniteAlgebraicExtensionField&(S,F)``554304
oextensionDegree`0`x`()->OnePointCompletion(PositiveInteger)`cExtensionField(F)``554375
oextensionDegree`0`x`()->PositiveInteger`cFiniteAlgebraicExtensionField(F)``554516
oextension`1`x`(_$)->String`cFileNameCategory``554587
oexteriorDifferential`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``554654
oexternal?`1`n`(_$)->Boolean`dFortranType``554801
oexternalList`1`n`(_$)->List(Symbol)`dSymbolTable``554887
oextract!`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oextract!`1`x`(_$)->S`cBagAggregate(S)``554976
oextractBottom!`1`x`(_$)->S`cDequeueAggregate(S)``555059
oextractClosed`1`n`(_$)->Boolean`dSubSpace(n,R)``555196
oextractIfCan`1`n`(Key)->Union(Entry,"failed")`pTabulatedComputationPackage(Key,Entry)``555430
oextractIndex`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``555501
oextractPoint`1`n`(_$)->Point(R)`dSubSpace(n,R)``555629
oextractProperty`1`n`(_$)->SubSpaceComponentProperty`dSubSpace(n,R)``555788
oextractSplittingLeaf`1`n`(_$)->Union(_$,"failed")`dSplittingTree(V,C)``555939
oextractSymbol`1`n`(SparseEchelonMatrix(JB,S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
oextractSymbol`1`n`(SparseEchelonMatrix(JB,_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``556082
oextractSymbol`2`n`(_$,Boolean)->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``556168
oextractTop!`1`x`(_$)->S`cDequeueAggregate(S)``556363
oextract`3`n`(_$,Integer,Integer)->_$`dSparseEchelonMatrix(C,D)``556495
oeyeDistance`2`x`(_$,Float)->Void`dThreeDimensionalViewport``556607
ofaceMap`2`n`(_$,NonNegativeInteger)->List(List(Integer))`dDeltaComplex(VS)``556808
ofactor1`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`557063
ofactorAndSplit`1`x`(_$)->List(_$)`dEquation(S)`has(S,IntegralDomain)`557171
ofactorByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``557348
ofactorFraction`1`x`(Fraction(Polynomial(R)))->Fraction(Factored(Polynomial(R)))`pRationalFunctionFactorizer(R)``557576
ofactorGroebnerBasis`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``557687
ofactorGroebnerBasis`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``557833
ofactorList`1`x`(_$)->List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer))`dFactored(R)``558074
ofactorList`4`n`(K,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->List(SparseUnivariatePolynomial(K))`pChineseRemainderToolsForIntegralBases(K,R,UP)``558170
ofactorOfDegree`2`n`(PositiveInteger,Factored(UP))->UP`pGaloisGroupPolynomialUtilities(R,UP)``558227
ofactorOfDegree`2`n`(PositiveInteger,UP)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558364
ofactorOfDegree`3`n`(PositiveInteger,UP,List(NonNegativeInteger))->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558450
ofactorOfDegree`3`n`(PositiveInteger,UP,NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558630
ofactorOfDegree`4`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``558773
ofactorOfDegree`5`n`(PositiveInteger,UP,List(NonNegativeInteger),NonNegativeInteger,Boolean)->Union(UP,"failed")`pGaloisGroupFactorizer(UP)``559016
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``559375
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorPolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorPolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``559493
ofactorSquareFreeByRecursion`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``559610
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xComplexCategory&(S,R)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xPolynomialCategory&(S,R,E,VarSet)``0
ofactorSquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
ofactorSquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``559892
ofactorSquareFree`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``560088
ofactorSquareFree`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``560200
ofactorSquareFree`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``560344
ofactorSquareFree`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``560454
ofactorSquareFree`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``560737
ofactorSquareFree`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``560983
ofactorSquareFree`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``561325
ofactor`1`n`(FreeMonoid(VarSet))->List(_$)`dLyndonWord(VarSet)``561639
ofactor`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``561719
ofactor`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)`has(F,AlgebraicallyClosedField)`561794
ofactor`1`n`(P)->Factored(P)`pGeneralizedMultivariateFactorize(OV,E,S,R,P)``561850
ofactor`1`n`(P)->Factored(P)`pMRationalFactorize(E,OV,R,P)``561947
ofactor`1`n`(PPR)->Factored(PPR)`pMPolyCatPolyFactorizer(E,OV,R,PPR)``562079
ofactor`1`n`(RP)->Factored(RP)`pRationalFactorize(RP)``562154
ofactor`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
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`(UP)->Factored(UP)`pComplexRootFindingPackage(R,UP)``562245
ofactor`1`n`(UP)->Factored(UP)`pGaloisGroupFactorizer(UP)``562554
ofactor`1`n`(_$)->List(_$)`dILogic``562635
ofactor`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``562976
ofactor`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``563317
ofactor`1`x`(Complex(Integer))->Factored(Complex(Integer))`pGaussianFactorizationPackage``563658
ofactor`1`x`(FP)->Factored(FP)`pDistinctDegreeFactorize(F,FP)``563760
ofactor`1`x`(P)->Factored(P)`pMultivariateFactorize(OV,E,R,P)``563848
ofactor`1`x`(PG)->Factored(PG)`pMultFiniteFactorize(OV,E,F,PG)``563945
ofactor`1`x`(PRF)->Factored(PRF)`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``564066
ofactor`1`x`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateFactorize(OV,E,R,P)``564150
ofactor`1`x`(SparseUnivariatePolynomial(PG))->Factored(SparseUnivariatePolynomial(PG))`pMultFiniteFactorize(OV,E,F,PG)``564335
ofactor`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``564559
ofactor`1`x`(UP)->Factored(UP)`pRationalFunctionFactor(UP)``564671
ofactor`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``564738
ofactor`2`n`(AlPol,(UP)->Factored(UP))->Factored(AlPol)`pInnerAlgFactor(F,UP,AlExt,AlPol)``564819
ofactor`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(LinearOrdinaryDifferentialOperator1(Fraction(UP)))`pLinearOrdinaryDifferentialOperatorFactorizer(F,UP)``564943
ofactor`2`n`(P,(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(P)`pInnerMultFact(OV,E,R,P)``565052
ofactor`2`n`(SparseUnivariatePolynomial(F),List(F))->Factored(SparseUnivariatePolynomial(F))`pExpressionFactorPolynomial(R,F)``565201
ofactor`2`n`(SparseUnivariatePolynomial(P),(SparseUnivariatePolynomial(R))->Factored(SparseUnivariatePolynomial(R)))->Factored(SparseUnivariatePolynomial(P))`pInnerMultFact(OV,E,R,P)``565364
ofactor`2`n`(UP,List(NonNegativeInteger))->Factored(UP)`pGaloisGroupFactorizer(UP)``565596
ofactor`2`n`(UP,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``565794
ofactor`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``565955
ofactor`2`x`(P,List(AlgebraicNumber))->Factored(P)`pAlgebraicMultFact(OV,E,P)``566194
ofactor`2`x`(SparseUnivariatePolynomial(P),List(AlgebraicNumber))->Factored(SparseUnivariatePolynomial(P))`pAlgebraicMultFact(OV,E,P)``566334
ofactor`2`x`(UP,List(AlgebraicNumber))->Factored(UP)`pAlgFactor(UP)``566555
ofactor`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``566715
ofactor`3`n`(UP,List(NonNegativeInteger),NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``566746
ofactor`3`n`(UP,NonNegativeInteger,NonNegativeInteger)->Factored(UP)`pGaloisGroupFactorizer(UP)``567003
ofactor`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``567232
ofactorial`1`n`(F)->F`pCombinatorialFunction(R,F)``567547
ofactorial`1`n`(S)->S`xIntegerNumberSystem&(S)``0
ofactorial`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``567640
ofactorial`1`x`(_$)->_$`cCombinatorialFunctionCategory``567794
ofactorials`1`n`(F)->F`pCombinatorialFunction(R,F)``567959
ofactorials`1`x`(_$)->_$`cCombinatorialOpsCategory``568063
ofactorials`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``568167
ofactorials`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``568295
ofactorsOfCyclicGroupSize`0`x`()->List(Record(factor:Integer,exponent:Integer))`cFiniteFieldCategory``568423
ofactorsOfDegree`2`n`(PositiveInteger,Factored(UP))->List(UP)`pGaloisGroupPolynomialUtilities(R,UP)``568509
ofactors`1`n`(_$)->List(Record(gen:S,exp:Integer))`dFreeGroup(S)``568623
ofactors`1`n`(_$)->List(Record(gen:S,exp:NonNegativeInteger))`dFreeMonoid(S)``568720
ofactors`1`x`(_$)->List(Record(factor:R,exponent:Integer))`dFactored(R)``568817
ofactorset`1`n`(GR)->List(GR)`pParametricLinearEquations(R,Var,Expon,GR)``569109
ofailed?`1`n`(_$)->Boolean`dPatternMatchListResult(R,S,L)``569188
ofailed?`1`n`(_$)->Boolean`dPatternMatchResult(R,S)``569250
ofailed`0`n`()->_$`dPatternMatchListResult(R,S,L)``569312
ofailed`0`n`()->_$`dPatternMatchResult(R,S)``569359
ofalse`0`x`()->_$`dBoolean``569406
offfg`3`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``569449
offfg`4`n`(List(D),(NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D,Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``569533
ofglmIfCan`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Union(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),"failed")`pLexTriangularPackage(R,ls)``570386
ofglmIfCan`1`n`(List(Polynomial(R)))->Union(List(Polynomial(R)),"failed")`pFGLMIfCanPackage(R,ls)``570545
ofibonacci`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``570706
ofilename`3`x`(String,String,String)->_$`cFileNameCategory``571020
ofill!`2`n`(A,S)->A`xStreamAggregate&(A,S)``0
ofill!`2`n`(S,Entry)->S`xIndexedAggregate&(S,Index,Entry)``0
ofill!`2`n`(S,R)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ofill!`2`x`(_$,Entry)->_$`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`571275
ofill!`2`x`(_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``571402
ofillPascalTriangle`0`n`()->Void`pGaloisGroupUtilities(R)``571468
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``571527
ofilterUntil`2`x`((S)->Boolean,_$)->_$`dStream(S)``571607
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``571788
ofilterWhile`2`x`((S)->Boolean,_$)->_$`dStream(S)``571864
ofindCycle`2`x`(NonNegativeInteger,_$)->Record(cycle?:Boolean,prefix:NonNegativeInteger,period:NonNegativeInteger)`dStream(S)``572048
ofindNode`2`n`(_$,String)->Scene(PT)`dSceneNamedPoints(PT)``572127
ofindPoint`2`n`(_$,String)->PT`dSceneNamedPoints(PT)``572182
ofind`2`n`((Record(key:Key,entry:Entry))->Boolean,S)->Union(Record(key:Key,entry:Entry),"failed")`xTableAggregate&(S,Key,Entry)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xCollection&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xListAggregate&(A,S)``0
ofind`2`n`((S)->Boolean,A)->Union(S,"failed")`xOneDimensionalArrayAggregate&(A,S)``0
ofind`2`x`((S)->Boolean,_$)->Union(S,"failed")`cCollection(S)``572266
ofinite?`1`x`(_$)->Boolean`dCardinalNumber``572396
ofinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``572510
ofinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``572564
ofiniteBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``572618
ofiniteLattice`1`n`(NonNegativeInteger)->_$`dFiniteLattice(S,p)``572705
ofiniteLattice`1`n`(S)->_$`dFiniteLattice(S,p)``572756
ofinitePoset`2`n`(List(S),(S,S)->Boolean)->_$`cPoset(S)``572808
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`cPoset(S)``572919
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`dFiniteBiCPO(S)``572979
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`dFiniteCoDcpo(S)``573038
ofinitePoset`2`n`(List(S),List(List(Boolean)))->_$`dFiniteDcpo(S)``573097
ofintegrate`3`n`(()->_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`573156
ofintegrate`3`x`(()->_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`573370
ofirstDenom`1`x`(_$)->Factored(R)`dPartialFraction(R)``573584
ofirstNumer`1`x`(_$)->R`dPartialFraction(R)``573783
ofirstSubsetGray`1`n`(PositiveInteger)->Vector(Vector(Integer))`pGrayCode``573980
ofirstUncouplingMatrix`2`n`(L,PositiveInteger)->Union(Matrix(R),"failed")`pPrecomputedAssociatedEquations(R,L)``574099
ofirst`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ofirst`1`n`(A)->S`xStreamAggregate&(A,S)``0
ofirst`1`n`(S)->Entry`xIndexedAggregate&(S,Index,Entry)``0
ofirst`1`n`(S)->Union(P,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
ofirst`1`n`(_$)->A`dProduct(A,B)``574418
ofirst`1`n`(_$)->LyndonWord(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``574480
ofirst`1`n`(_$)->S`dFreeMonoid(S)``574554
ofirst`1`n`(_$)->VarSet`dFreeMagma(VarSet)``574615
ofirst`1`x`(_$)->Entry`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`574684
ofirst`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``574849
ofirst`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``574959
ofirst`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
ofirst`2`n`(A,NonNegativeInteger)->A`xStreamAggregate&(A,S)``0
ofirst`2`n`(_$,NonNegativeInteger)->_$`cSequenceCategory(R)``575111
ofirst`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``575190
ofirstn`2`n`(_$,NonNegativeInteger)->List(R)`cSequenceCategory(R)``575293
ofixPredicate`1`n`((B)->Boolean)->(A)->Boolean`pPatternMatchPushDown(S,A,B)``575367
ofixedDivisor`1`n`(SparseUnivariatePolynomial(Integer))->Integer`pPolynomialNumberTheoryFunctions``575455
ofixedPointExquo`2`n`(UTS,UTS)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``575705
ofixedPoints`1`x`(_$)->Set(S)`dPermutation(S)`has(S,Finite)`575829
oflagFactor`3`x`(R,Integer,Union("nil","sqfr","irred","prime"))->_$`dFactored(R)``575912
oflatten`1`n`(DirectedGraph(A))->A`xPoset&(A,S)``0
oflatten`1`n`(DirectedGraph(_$))->_$`cFiniteGraph(S)``576090
oflatten`1`n`(_$)->_$`dInputForm``576282
oflexible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``576522
oflexible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``576741
oflexibleArray`1`n`(List(S))->_$`dIndexedFlexibleArray(S,mn)``576960
oflexibleArray`1`x`(List(S))->_$`dFlexibleArray(S)``0
ofloat?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``577051
ofloat`1`x`(_$)->Flt`cSExpressionCategory(Str,Sym,Int,Flt)``577139
ofloat`2`n`(Integer,Integer)->S`xFloatingPointSystem&(S)``0
ofloat`2`x`(Integer,Integer)->_$`cFloatingPointSystem``577275
ofloat`3`n`(Integer,Integer,PositiveInteger)->S`xFloatingPointSystem&(S)``0
ofloat`3`x`(Integer,Integer,PositiveInteger)->_$`cFloatingPointSystem``577334
ofloor`1`n`(S)->S`xRealNumberSystem&(S)``0
ofloor`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,IntegerNumberSystem)`577393
ofloor`1`x`(_$)->_$`cRealNumberSystem``577469
oflush`1`x`(_$)->Void`cFileCategory(Name,S)``577532
ofmecg`4`n`(S,E,R,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
ofmecg`4`x`(_$,E,R,_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,Ring)`577624
oforLoop`2`n`(SegmentBinding(Polynomial(Integer)),_$)->_$`dFortranCode``577707
oforLoop`3`n`(SegmentBinding(Polynomial(Integer)),Polynomial(Integer),_$)->_$`dFortranCode``577836
oformalDiff2`3`n`(List(S),PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DSys:List(S),JVars:List(List(JB)))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(List(_$),PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DSys:List(_$),JVars:List(List(JB)))`cJetBundleFunctionCategory(JB)``577982
oformalDiff2`3`n`(S,PositiveInteger,SparseEchelonMatrix(JB,S))->Record(DPhi:S,JVars:List(JB))`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff2`3`n`(_$,PositiveInteger,SparseEchelonMatrix(JB,_$))->Record(DPhi:_$,JVars:List(JB))`cJetBundleFunctionCategory(JB)``578088
oformalDiff`2`n`(List(S),PositiveInteger)->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(List(_$),PositiveInteger)->List(_$)`cJetBundleFunctionCategory(JB)``578367
oformalDiff`2`n`(S,List(NonNegativeInteger))->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(S,PositiveInteger)->S`xJetBundleFunctionCategory&(S,JB)``0
oformalDiff`2`n`(_$,List(NonNegativeInteger))->_$`cJetBundleFunctionCategory(JB)``578515
oformalDiff`2`n`(_$,PositiveInteger)->_$`cJetBundleFunctionCategory(JB)``578625
oformula`1`x`(_$)->List(String)`dScriptFormulaFormat``578757
ofortFormatHead`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),List(Symbol))->Void`pFortranCodeTools``578843
ofortFormatTypeLines`2`n`(String,List(String))->Void`pFortranCodeTools``578900
ofort_clean_lines`1`n`(List(String))->List(String)`pFortranCodeTools``0
ofort_format_types`2`n`(String,List(OutputForm))->Void`pFortranCodeTools``578949
ofortranCarriageReturn`0`n`()->Void`dFortranTemplate``579000
ofortranCharacter`0`n`()->_$`dFortranType``579102
ofortranComplex`0`n`()->_$`dFortranType``579182
ofortranDoubleComplex`0`n`()->_$`dFortranType``579258
ofortranDouble`0`n`()->_$`dFortranType``579347
ofortranInteger`0`n`()->_$`dFortranType``579431
ofortranLiteralLine`1`n`(String)->Void`dFortranTemplate``579507
ofortranLiteral`1`n`(String)->Void`dFortranTemplate``579629
ofortranLogical`0`n`()->_$`dFortranType``579714
ofortranReal`0`n`()->_$`dFortranType``579790
ofortranTypeOf`2`n`(Symbol,_$)->FortranType`dSymbolTable``579860
ofortran`3`n`(Symbol,FortranScalarType,FS)->_$`dSimpleFortranProgram(R,FS)``579934
ofprindINFO`7`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``580118
ofracPart`1`x`(_$)->List(Record(exponent:NonNegativeInteger,center:UP,num:UP))`dFullPartialFractionExpansion(F,UP)``580157
ofractRadix`2`x`(List(Integer),List(Integer))->_$`dRadixExpansion(bb)``580248
ofractRagits`1`x`(_$)->Stream(Integer)`dRadixExpansion(bb)``580459
ofractionFreeGauss!`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`580553
ofractionPart`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
ofractionPart`1`n`(S)->S`xRealNumberSystem&(S)``0
ofractionPart`1`x`(_$)->Fraction(Integer)`dBinaryExpansion``580660
ofractionPart`1`x`(_$)->Fraction(Integer)`dDecimalExpansion``580741
ofractionPart`1`x`(_$)->Fraction(Integer)`dHexadecimalExpansion``580823
ofractionPart`1`x`(_$)->Fraction(Integer)`dRadixExpansion(bb)``580909
ofractionPart`1`x`(_$)->_$`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`580990
ofractionPart`1`x`(_$)->_$`cRealNumberSystem``581117
ofractionalTerms`1`x`(_$)->List(Fraction(R))`dPartialFraction(R)``581187
ofree?`1`n`(_$)->Boolean`dLambda(UT)``581344
ofreeConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``581446
ofreeCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``581556
ofreeCumulant`2`n`(_$,PositiveInteger)->R`cDistributionCategory(R)``581673
ofreeCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``581775
ofreeMultiplicativeConvolution`2`x`(Distribution(R),Distribution(R))->Distribution(R)`pSTransformPackage(R,UTSR,ULSR,UPSR)``581875
ofreeMultiplicativeConvolution`2`x`(_$,_$)->_$`dDistribution(R)`has(R,Algebra(Fraction(Integer)))`582015
ofreeOf?`2`n`(S,JB)->Boolean`xJetBundleFunctionCategory&(S,JB)``0
ofreeOf?`2`n`(S,S)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ofreeOf?`2`n`(_$,JB)->Boolean`cJetBundleFunctionCategory(JB)``582160
ofreeOf?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``582256
ofreeOf?`2`x`(_$,_$)->Boolean`cExpressionSpace``582358
ofreePoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``582488
ofreeVariable?`2`n`(_$,UT)->Boolean`dSKICombinators(UT)``582588
ofresnelC`1`n`(F)->F`pLiouvillianFunction(R,F)``582705
ofresnelC`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``582769
ofresnelC`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelC`1`x`(Float)->Float`pFloatLiouvilianFunctions``582833
ofresnelC`1`x`(_$)->_$`cLiouvillianFunctionCategory``582897
ofresnelS`1`n`(F)->F`pLiouvillianFunction(R,F)``583011
ofresnelS`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``583075
ofresnelS`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
ofresnelS`1`x`(Float)->Float`pFloatLiouvilianFunctions``583139
ofresnelS`1`x`(_$)->_$`cLiouvillianFunctionCategory``583203
ofrobenius`1`n`(_$)->_$`dModMonic(R,Rep)`has(R,FiniteFieldCategory)`583317
ofront`1`x`(_$)->S`cQueueAggregate(S)``583403
ofroot`2`n`(F,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)`has(R,GcdDomain)`583553
ofrst`1`x`(_$)->S`cLazyStreamAggregate(S)``583650
ofullDisplay`1`x`(_$)->Void`dDatabase(S)``583832
ofullDisplay`1`x`(_$)->Void`dIndexCard``583910
ofullDisplay`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dDatabase(S)``583994
ofullPartialFraction`1`x`(Fraction(UP))->_$`dFullPartialFractionExpansion(F,UP)``584117
ofunctionGraph`1`n`(List(Permutation(S)))->_$`dFunctionGraph(S)``584286
ofunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:NonNegativeInteger,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``584338
ofunctionGraph`1`n`(List(S))->_$`dFunctionGraph(S)``584442
ofunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dFunctionGraph(S)``584714
ofunctionName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``584829
ofunctionName`1`x`(Symbol)->_$`dGuessOption``584960
ofunctionNames`1`n`(List(GuessOption))->List(Symbol)`dGuessOptionFunctions0``585148
ofunctionNames`1`x`(List(Symbol))->_$`dGuessOption``585290
ofunction`2`n`(Symbol,List(_$))->_$`dJetBundleXExpression(JB)``585447
ofunction`2`x`(S,Symbol)->Symbol`pMakeFunction(S)``585546
ofunction`3`n`(Symbol,List(_$),NonNegativeInteger)->_$`dJetBundleExpression(JB)``585617
ofunction`3`n`(_$,List(Symbol),Symbol)->_$`dInputForm``585786
ofunction`3`x`(S,Symbol,List(Symbol))->Symbol`pMakeFunction(S)``585916
ofunction`3`x`(S,Symbol,Symbol)->Symbol`pMakeFunction(S)``586023
ofunction`4`x`(S,Symbol,Symbol,Symbol)->Symbol`pMakeFunction(S)``586100
ofundamentalGroup`1`n`(_$)->GroupPresentation`dDeltaComplex(VS)``586186
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteCubicalComplex(VS)``586251
ofundamentalGroup`1`n`(_$)->GroupPresentation`dFiniteSimplicialComplex(VS)``586745
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dDeltaComplex(VS)``587277
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteCubicalComplex(VS)``587342
ofundamentalGroup`3`n`(_$,Boolean,Boolean)->GroupPresentation`dFiniteSimplicialComplex(VS)``587878
ogamma`0`x`()->Complex(Float)`pFloatLiouvilianFunctions``588451
ogaugeHilbert`2`n`(NonNegativeInteger,List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``588495
ogauge`3`n`(NonNegativeInteger,Integer,List(NonNegativeInteger))->List(Integer)`pCartanKuranishi(JB,D)``588656
ogaussianDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``588861
ogbasis`3`n`(List(Dpol),Integer,Integer)->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``588954
ogcdBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``588989
ogcdBasis`1`n`(Vector(R))->Vector(R)`pGcdBasis(R)``589055
ogcdDecomposition`1`n`(Vector(Fraction(R)))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``589131
ogcdDecomposition`1`n`(Vector(R))->Record(basis:Vector(R),transform:Matrix(Integer))`pGcdBasis(R)``589300
ogcdPolynomial`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pGeneralPolynomialGcdPackage(E,OV,R,P)``589469
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)`xUnivariatePolynomialCategory&(S,R)``0
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cGcdDomain``589553
ogcdPolynomial`2`x`(SparseUnivariatePolynomial(_$),SparseUnivariatePolynomial(_$))->SparseUnivariatePolynomial(_$)`cPolynomialFactorizationExplicit``589680
ogcdPrimitive`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``589799
ogcdPrimitive`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``589901
ogcdPrimitive`2`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(P)`pPolynomialGcdPackage(E,OV,R,P)``590012
ogcd`1`n`(List(BP))->BP`pHeuGcd(BP)``590123
ogcd`1`n`(List(P))->P`pPolynomialGcdPackage(E,OV,R,P)``590202
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`xJetBundleFunctionCategory&(S,JB)``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)``590286
ogcd`1`x`(List(_$))->_$`cGcdDomain``590370
ogcd`2`n`(P,P)->P`pPolynomialGcdPackage(E,OV,R,P)``590459
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`xJetBundleFunctionCategory&(S,JB)``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)``590555
ogcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`590651
ogcd`2`x`(R,_$)->R`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`590726
ogcd`2`x`(_$,_$)->_$`cGcdDomain``590816
ogcd`2`x`(_$,_$)->_$`dNonNegativeInteger``590904
ogcd`2`x`(_$,_$)->_$`dPositiveInteger``591019
ogcd`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``591130
ogcd`3`x`(U,U,Integer)->U`pModularDistinctDegreeFactorizer(U)``591233
ogcd`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``591379
ogcdcofact`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``591511
ogcdcofactprim`1`n`(List(BP))->List(BP)`pHeuGcd(BP)``591612
ogcdprim`1`n`(List(BP))->BP`pHeuGcd(BP)``591716
ogderiv`2`n`((Integer)->A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``591814
oge_minimal`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(Record(singularity:Record(point:Union(Expression(Integer),"infinity"),lpf:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dxt:PositiveInteger),fos:List(R--ecord(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(var,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),mge:List(UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``591918
ogenVectorStream2`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``591949
ogenVectorStream`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->Stream(List(NonNegativeInteger))`pFractionFreeFastGaussian(D,V)``592011
ogen_Monte_Carlo_check`6`n`((List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution"),List(List(F)),Symbol,Symbol,NonNegativeInteger,(List(U32Vector),Integer,Integer)->Vector(U32Vector))->(List(SparseUnivariatePolynomial(S)))->Union("good","reject","no_solution")`pModularHermitePadeSolver(F,S)``592204
ogen_exp`4`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"),(SparseUnivariatePolynomial(Expression(Integer)),List(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),List(Expression(Integer)))->List(Record(ecs:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),ecr:UnivariatePolynomial(var,Expression(Integer)),ect:Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLine--arOrdinaryDifferentialOperatorFactorizer2(var,cen)``592427
ogeneralCoefficient`4`n`((NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),NonNegativeInteger,Vector(SparseUnivariatePolynomial(D)))->D`pFractionFreeFastGaussian(D,V)``592458
ogeneralInfiniteProduct`3`x`(UTS,Integer,Integer)->UTS`pInfiniteLambertProduct(Coef,UTS)``592847
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``593022
ogeneralInterpolation`4`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(VF),List(NonNegativeInteger))->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussianFractions(D,V,VF)``593887
ogeneralInterpolation`5`n`(List(D),(NonNegativeInteger,NonNegativeInteger,V)->D,Vector(V),Vector(Integer),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``594347
ogeneralLambert`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``594550
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateFormalPowerSeries(Coef)``0
ogeneralLambert`3`n`(_$,Integer,Integer)->_$`dUnivariateTaylorSeries(Coef,var,cen)``594752
ogeneralPosition`2`x`(_$,List(VarSet))->Record(mval:Matrix(F),invmval:Matrix(F),genIdeal:_$)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``594983
ogeneralSqFr`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``595167
ogeneralTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``595323
ogeneral_Lambert_product`3`n`(Stream(A),Integer,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``595472
ogeneralizedContinuumHypothesisAssumed?`0`x`()->Boolean`dCardinalNumber``595686
ogeneralizedContinuumHypothesisAssumed`1`x`(Boolean)->Boolean`dCardinalNumber``595787
ogeneralizedEigenvector`2`n`(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),eigmult:NonNegativeInteger,eigvec:List(Vector(SparseUnivariatePolynomial(F)))),Matrix(F))->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``595905
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)``596090
ogeneralizedEigenvector`4`n`(Union(F,SparseUnivariatePolynomial(F)),Matrix(F),NonNegativeInteger,NonNegativeInteger)->List(Vector(SparseUnivariatePolynomial(F)))`pInnerEigenPackage(F)``596275
ogeneralizedEigenvector`4`x`(Union(Fraction(Polynomial(R)),SuchThat(Symbol,Polynomial(R))),Matrix(Fraction(Polynomial(R))),NonNegativeInteger,NonNegativeInteger)->List(Matrix(Fraction(Polynomial(R))))`pEigenPackage(R)``596555
ogeneralizedEigenvectors`1`n`(Matrix(F))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)`has(F,PolynomialFactorizationExplicit)`596835
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)``596937
ogeneralizedEigenvectors`2`n`(Matrix(F),(SparseUnivariatePolynomial(F))->Factored(SparseUnivariatePolynomial(F)))->List(Record(eigval:Union(F,SparseUnivariatePolynomial(F)),geneigvec:List(Vector(SparseUnivariatePolynomial(F)))))`pInnerEigenPackage(F)``597063
ogeneralizedInverse`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``597223
ogeneralizedMoebiusFunction`2`n`(List(P),(P,P)->R)->_$`dGeneralizedFiniteMoebiusFunction(P,R)``597467
ogenerateIrredPoly`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pIrredPolyOverFiniteField(GF)``597552
ogenerator`0`n`()->S`xMonogenicAlgebra&(S,R,UP)``0
ogenerator`0`n`()->_$`dCyclicGroup(n,g)``597686
ogenerator`0`n`()->_$`dInfiniteCyclicGroup(g)``597735
ogenerator`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`597784
ogenerator`0`x`()->_$`cMonogenicAlgebra(R,UP)``597923
ogenerator`1`n`(NonNegativeInteger)->_$`dAntiSymm(R,lVar)``597988
ogenerator`1`n`(NonNegativeInteger)->_$`dDeRhamComplex(CoefRing,listIndVar)``598080
ogenerator`1`x`(NonNegativeInteger)->_$`dFreeNilpotentLie(n,class,R)``598166
ogenerator`1`x`(_$)->Union(R,"failed")`cFiniteDivisorCategory(F,UP,UPUP,R)``598230
ogenerators`0`n`()->List(_$)`cFinitelyGenerated``598334
ogenerators`1`x`(_$)->List(DPoly)`dPolynomialIdeal(F,Expon,VarSet,DPoly)``598393
ogenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``598474
ogeneric?`1`n`(_$)->Boolean`dPattern(R)``598549
ogenericLeftDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`598624
ogenericLeftMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`598958
ogenericLeftNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599103
ogenericLeftTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599376
ogenericLeftTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599524
ogenericPosition`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Record(dpolys:List(DistributedMultivariatePolynomial(lv,F)),coords:List(Integer))`pGroebnerSolve(lv,F,R)``599766
ogenericRightDiscriminant`0`n`()->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`599912
ogenericRightMinimalPolynomial`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`600247
ogenericRightNorm`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`600397
ogenericRightTraceForm`2`n`(_$,_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`600637
ogenericRightTrace`1`n`(_$)->Fraction(Polynomial(R))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`600790
ogeneric`0`n`()->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``600997
ogeneric`1`n`(Symbol)->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601167
ogeneric`1`n`(Vector(Symbol))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601334
ogeneric`1`n`(Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601538
ogeneric`2`n`(Symbol,Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601710
ogeneric`2`n`(Vector(Symbol),Vector(_$))->_$`dGenericNonAssociativeAlgebra(R,n,ls,gamma)``601875
ogenus`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``602104
ogenus`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``602184
ogeometric`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``602264
ogetArr`1`n`(_$)->List(List(Boolean))`cPoset(S)``602305
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetArrowIndex`3`n`(A,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ogetArrowIndex`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``602460
ogetArrows`1`n`(A)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`xPoset&(A,S)``0
ogetArrows`1`n`(_$)->List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger)))`cFiniteGraph(S)``602555
ogetBadValues`1`n`(_$)->List(Any)`dPattern(R)``602626
ogetBoundValue`1`n`(_$)->NonNegativeInteger`dLambda(UT)``602767
ogetCentre`1`n`(_$)->PT`dSBoundary(PT)``602849
ogetChildren`1`n`(_$)->List(_$)`dILogic``602948
ogetChildren`1`n`(_$)->List(_$)`dLambda(UT)``603023
ogetChildren`1`n`(_$)->List(_$)`dLatticeJoinOfMeets``603145
ogetChildren`1`n`(_$)->List(_$)`dLatticeMeetOfJoins``603220
ogetChildren`1`n`(_$)->List(_$)`dSKICombinators(UT)``603295
ogetCode`1`n`(_$)->List(String)`dFortranCode``603370
ogetCurve`1`n`(_$)->Curve`dTubePlot(Curve)``603507
ogetDatabase`1`x`(String)->Database(IndexCard)`pOperationsQuery``603651
ogetEq`1`n`(F)->F`pRecurrenceOperator(R,F)``603910
ogetGoodPrime`1`n`(Integer)->PositiveInteger`pPointsOfFiniteOrderTools(UP,UPUP)``604031
ogetGraph`2`n`(_$,PositiveInteger)->GraphImage`dTwoDimensionalViewport``604109
ogetIndexesSigned`1`n`(_$)->List(Integer)`dOrientedFacet``604355
ogetIndexes`1`n`(_$)->List(NonNegativeInteger)`dOrientedFacet``604416
ogetIndexs`1`n`(_$)->List(Record(left:NonNegativeInteger,right:NonNegativeInteger))`dProductFacet``604447
ogetIntervals`1`n`(_$)->List(Segment(Integer))`dCubicalFacet``604475
ogetMatch`2`n`(Pattern(R),_$)->Union(S,"failed")`dPatternMatchResult(R,S)``604531
ogetMaxLeft`1`n`(_$)->NonNegativeInteger`dProductFacet``604692
ogetMaxRight`1`n`(_$)->NonNegativeInteger`dProductFacet``604726
ogetMax`1`n`(_$)->PT`dSBoundary(PT)``604761
ogetMin`1`n`(_$)->PT`dSBoundary(PT)``604854
ogetMult`1`n`(_$)->Integer`cFacetCategory``604947
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtension(GF,extdeg)``604981
ogetMultiplicationMatrix`0`n`()->Matrix(GF)`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``605075
ogetMultiplicationMatrix`0`x`()->Matrix(PrimeField(p))`dFiniteFieldNormalBasis(p,extdeg)``605169
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtension(GF,extdeg)``605263
ogetMultiplicationTable`0`n`()->Vector(List(Record(value:GF,index:SingleInteger)))`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``605440
ogetMultiplicationTable`0`x`()->Vector(List(Record(value:PrimeField(p),index:SingleInteger)))`dFiniteFieldNormalBasis(p,extdeg)``605617
ogetName`1`n`(_$)->String`cVarCat``605794
ogetNames`1`n`(_$)->List(String)`dSceneNamedPoints(PT)``605835
ogetNotation`0`n`()->Symbol`cJetBundleCategory``605899
ogetNotation`0`n`()->Symbol`cJetBundleFunctionCategory(JB)``0
ogetNotation`0`n`()->Symbol`xJetBundleFunctionCategory&(S,JB)``0
ogetOrder`0`n`()->Record(low:List(S),high:List(S))`pUserDefinedPartialOrdering(S)``605962
ogetPickedPoints`1`n`(_$)->List(Point(DoubleFloat))`dTwoDimensionalViewport``606156
ogetRef`1`n`(_$)->Reference(OrderedCompletion(Integer))`dInnerSparseUnivariatePowerSeries(Coef)``606459
ogetSimplifyDenomsFlag`0`x`()->Boolean`dExpression(R)`has(R,IntegralDomain)`606575
ogetStatement`2`n`(OutputForm,Boolean)->List(String)`pFortranCodeTools``606702
ogetStream`1`n`(_$)->Stream(Record(k:Integer,c:Coef))`dInnerSparseUnivariatePowerSeries(Coef)``606751
ogetType`0`n`()->InputForm`pInputFormFunctions1(R)``606840
ogetType`1`n`(_$)->ILogic`cVarCat``606913
ogetVariableOrder`0`x`()->Record(high:List(Symbol),low:List(Symbol))`pUserDefinedVariableOrdering``607114
ogetVariable`1`n`(_$)->UT`dLambda(UT)``607321
ogetVariable`1`n`(_$)->UT`dSKICombinators(UT)``607431
ogetVert`1`n`(_$)->List(S)`cPoset(S)``607509
ogetVertexIndex`2`n`(A,S)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ogetVertexIndex`2`n`(_$,S)->NonNegativeInteger`cFiniteGraph(S)``607694
ogetVertices`1`n`(A)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`xPoset&(A,S)``0
ogetVertices`1`n`(_$)->List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger))`cFiniteGraph(S)``607786
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtension(GF,extdeg)``607886
ogetZechTable`0`n`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroupExtensionByPolynomial(GF,defpol)``608024
ogetZechTable`0`x`()->PrimitiveArray(SingleInteger)`dFiniteFieldCyclicGroup(p,extdeg)``608153
oget_fort_indent`0`n`()->Integer`pFortranCodeTools``608291
oget_rational_roots`1`n`(UP)->List(Fraction(Integer))`pPolynomialRationalRoots(F,UP)``608366
oget_rational_roots`2`n`(F,Kernel(F))->List(Fraction(Integer))`pFunctionSpaceRationalRoots(R,F)``608435
oget_used_intrinsics`0`n`()->List(String)`pFortranCodeTools``608554
oget_variables`3`n`(List(List(Fraction(Polynomial(Integer)))),Symbol,Symbol)->List(Symbol)`pModularHermitePade``0
oglb`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
oglb`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``608619
ognuDraw`3`x`(Expression(Float),SegmentBinding(Float),String)->Void`pGnuDraw``608846
ognuDraw`3`x`(List(DoubleFloat),List(DoubleFloat),String)->Void`pGnuDraw``608908
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String)->Void`pGnuDraw``608990
ognuDraw`4`x`(Expression(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``609060
ognuDraw`4`x`(List(DoubleFloat),List(DoubleFloat),String,List(DrawOption))->Void`pGnuDraw``609116
ognuDraw`5`x`(Expression(Float),SegmentBinding(Float),SegmentBinding(Float),String,List(DrawOption))->Void`pGnuDraw``609192
ogoodPoint`2`n`(List(UPUP),UPUP)->F`pChangeOfVariable(F,UP,UPUP)``609256
ogotoJump`1`n`(SingleInteger)->_$`dFortranCode``609445
ogradeInvolution`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``609524
ograde`1`n`(_$)->List(List(CubicalFacet))`dFiniteCubicalComplex(VS)``609581
ograde`1`n`(_$)->List(List(OrientedFacet))`dFiniteSimplicialComplex(VS)``609753
ograde`1`x`(_$)->NonNegativeInteger`dCliffordAlgebra(n,K,bLin)``610003
ogradient`2`n`(F,FLAS)->Vector(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``610123
ograeffe`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``610312
ogramschmidt`1`x`(List(Matrix(Expression(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``610469
ographCurves`1`n`(List(List(Point(DoubleFloat))))->GraphImage`pViewportPackage``610641
ographCurves`2`n`(List(List(Point(DoubleFloat))),List(DrawOption))->GraphImage`pViewportPackage``610805
ographCurves`5`n`(List(List(Point(DoubleFloat))),Palette,Palette,PositiveInteger,List(DrawOption))->GraphImage`pViewportPackage``611031
ographImage`0`n`()->_$`dGraphImage``611472
ographState`14`n`(_$,PositiveInteger,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,Integer,Integer,Integer,Integer,Palette,Integer,Palette,Integer)->Void`dTwoDimensionalViewport``611657
ographStates`1`n`(_$)->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``612764
ographs`1`n`(_$)->Vector(Union(GraphImage,"undefined"))`dTwoDimensionalViewport``613035
ographs`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``613375
ogreen`0`x`()->_$`dColor``613548
ogroebSolve`2`n`(List(DistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->List(List(DistributedMultivariatePolynomial(lv,F)))`pGroebnerSolve(lv,F,R)``613625
ogroebgen`1`n`(List(DistributedMultivariatePolynomial(lv,F)))->Record(glbase:List(DistributedMultivariatePolynomial(lv,F)),glval:List(Integer))`pLinGroebnerPackage(lv,F)``613922
ogroebner?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``613959
ogroebnerFactorize`1`x`(List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``614054
ogroebnerFactorize`2`x`(List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``614556
ogroebnerFactorize`2`x`(List(Dpol),List(Dpol))->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``615144
ogroebnerFactorize`3`x`(List(Dpol),List(Dpol),Boolean)->List(List(Dpol))`pGroebnerFactorizationPackage(Dom,Expon,VarSet,Dpol)``615761
ogroebnerIdeal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``616470
ogroebner`1`n`(List(Dpol))->List(Dpol)`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``616682
ogroebner`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls)))`pLexTriangularPackage(R,ls)``616806
ogroebner`1`n`(List(P))->List(P)`pJetGroebner(R,JB,LJV,P,E)``617022
ogroebner`1`n`(List(Polynomial(R)))->List(Polynomial(R))`pFGLMIfCanPackage(R,ls)``617129
ogroebner`1`n`(List(_$))->List(_$)`dDistributedJetBundlePolynomial(R,JB,LJV,E)`has(R,GcdDomain)`617348
ogroebner`1`n`(List(_$))->List(_$)`dJetBundlePolynomial(R,JB)`has(R,GcdDomain)`617463
ogroebner`1`x`(List(Dpol))->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``617590
ogroebner`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``617714
ogroebner`2`x`(List(Dpol),String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``617820
ogroebner`3`x`(List(Dpol),String,String)->List(Dpol)`pGroebnerPackage(Dom,Expon,VarSet,Dpol)``618285
oground?`1`n`(S)->Boolean`xFiniteAbelianMonoidRing&(S,R,E)``0
oground?`1`n`(S)->Boolean`xFunctionSpace&(S,R)``0
oground?`1`n`(_$)->Boolean`dJetBundleLinearFunction(JB,D)``618673
oground?`1`n`(_$)->Boolean`dJetLazyFunction(JB,D)``618777
oground?`1`x`(_$)->Boolean`cFiniteAbelianMonoidRing(R,E)``618872
oground?`1`x`(_$)->Boolean`cFunctionSpace(R)``618963
oground`1`n`(S)->R`xFiniteAbelianMonoidRing&(S,R,E)``0
oground`1`n`(S)->R`xFunctionSpace&(S,R)``0
oground`1`n`(_$)->Record(numer:Polynomial(Integer),denom:Polynomial(Integer))`dFakePolynomial``0
oground`1`n`(_$)->_$`dJetBundleLinearFunction(JB,D)``619033
oground`1`x`(_$)->R`cFiniteAbelianMonoidRing(R,E)``619094
oground`1`x`(_$)->R`cFunctionSpace(R)``619172
ogroupPresentation`0`n`()->_$`dGroupPresentation``619299
ogroupPresentation`1`n`(List(NonNegativeInteger))->_$`dGroupPresentation``619362
ogroupPresentation`2`n`(List(NonNegativeInteger),List(List(Integer)))->_$`dGroupPresentation``619423
oguessADE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessADE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619470
oguessADE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`619700
oguessADE`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessADE`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessADE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessADE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``619905
oguessADE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessADE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessADE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`1`n`(List(List(AlgebraicNumber)))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`1`x`(List(List(F)))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620099
oguessAlgDep`1`x`(List(List(F)))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`1`x`(List(List(Fraction(Integer))))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(Integer)))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`1`x`(List(List(Fraction(Polynomial(R)))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlgDep`2`n`(List(List(AlgebraicNumber)),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620337
oguessAlgDep`2`x`(List(List(F)),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlgDep`2`x`(List(List(Fraction(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(Integer)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlgDep`2`x`(List(List(Fraction(Polynomial(R)))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620527
oguessAlg`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessAlg`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessAlg`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``620823
oguessAlg`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessAlg`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessAlg`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessBinRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`621096
oguessBinRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``621335
oguessBinRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`621551
oguessBinRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessBinRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessBinRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessBinRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``621790
oguessBinRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622006
oguessBinRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessBinRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessBinRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessExpRat`1`n`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`622222
oguessExpRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``622453
oguessExpRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`622646
oguessExpRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessExpRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessExpRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessExpRat`2`n`(List(F),List(GuessOption))->List(EXPRR)`pGuessExpBin(F,S,EXPRR,retract,coerce)``622877
oguessExpRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623082
oguessExpRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessExpRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessExpRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623287
oguessFE`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessFE`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessFE`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623516
oguessFE`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessFE`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessFE`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessHolo`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``623709
oguessHolo`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`624013
oguessHolo`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessHolo`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessHolo`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessHolo`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``624215
oguessHolo`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessHolo`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessHolo`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessPRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``624503
oguessPRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`624776
oguessPRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessPRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessPRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``625042
oguessPRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``625299
oguessPade`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessPade`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessPade`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``625632
oguessPade`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessPade`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessPade`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRat`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``625897
oguessRat`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`626179
oguessRat`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRat`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRat`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRat`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626451
oguessRat`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRat`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRat`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`1`n`(Symbol)->(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oguessRec`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``626697
oguessRec`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`626885
oguessRec`1`x`(Symbol)->(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oguessRec`1`x`(Symbol)->(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oguessRec`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguessRec`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627049
oguessRec`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguessRec`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguessRec`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`1`n`(List(AlgebraicNumber))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`1`x`(List(F))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627201
oguess`1`x`(List(F))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`1`x`(List(Fraction(Integer)))->List(Expression(Integer))`pGuessInteger``0
oguess`1`x`(List(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`1`x`(List(Fraction(Polynomial(R))))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`2`n`(List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`2`x`(List(F),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627394
oguess`2`x`(List(F),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`2`x`(List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`2`x`(List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`2`x`(List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`3`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627552
oguess`3`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`3`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessInteger``0
oguess`3`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`3`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol))->List(Expression(Integer))`pGuessPolynomial(R)``0
oguess`4`n`(List(AlgebraicNumber),List((List(AlgebraicNumber),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessAlgebraicNumber``0
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(EXPRR)),List(Symbol),List(GuessOption))->List(EXPRR)`pGuess(F,S,EXPRR,retract,coerce)``627848
oguess`4`x`(List(F),List((List(F),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessFinite(F)``0
oguess`4`x`(List(Fraction(Integer)),List((List(Fraction(Integer)),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessInteger``0
oguess`4`x`(List(Fraction(Polynomial(Integer))),List((List(Fraction(Polynomial(Integer))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomialInteger``0
oguess`4`x`(List(Fraction(Polynomial(R))),List((List(Fraction(Polynomial(R))),List(GuessOption))->List(Expression(Integer))),List(Symbol),List(GuessOption))->List(Expression(Integer))`pGuessPolynomial(R)``0
ohMonic`1`n`(Dpol)->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``628111
ohMonic`1`n`(Dpol)->Dpol`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``628146
ohadamard`2`n`(UnivariateFormalPowerSeries(Coef),UnivariateFormalPowerSeries(Coef))->UnivariateFormalPowerSeries(Coef)`pUnivariateFormalPowerSeriesFunctions(Coef)``0
ohalfExtendedResultant1`2`n`(_$,_$)->Record(resultant:R,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`628208
ohalfExtendedResultant2`2`n`(_$,_$)->Record(resultant:R,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`628352
ohalfExtendedSubResultantGcd1`2`n`(_$,_$)->Record(gcd:_$,coef1:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`628496
ohalfExtendedSubResultantGcd1`2`x`(_$,_$)->Record(gcd:_$,coef1:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`628652
ohalfExtendedSubResultantGcd2`2`n`(_$,_$)->Record(gcd:_$,coef2:_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`628830
ohalfExtendedSubResultantGcd2`2`x`(_$,_$)->Record(gcd:_$,coef2:_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`628986
ohankelDeterminant`2`n`(Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``629164
ohankelDeterminants`1`n`(_$)->Stream(R)`cDistributionCategory(R)``629272
ohankelH1`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``629380
ohankelH1`2`x`(_$,_$)->_$`cSpecialFunctionCategory``629472
ohankelH2`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``629565
ohankelH2`2`x`(_$,_$)->_$`cSpecialFunctionCategory``629662
oharmonic`1`x`(Integer)->Fraction(Integer)`pIntegerNumberTheoryFunctions``629760
ohas?`2`x`(_$,Symbol)->Boolean`dBasicOperator``629868
ohasDimension?`1`n`(_$)->Boolean`dSimpleCell(TheField,ThePols)``629949
ohasDimension?`2`n`(_$,Symbol)->Boolean`dCell(TheField)``630121
ohasHi`1`x`(_$)->Boolean`dUniversalSegment(S)``630266
ohasPredicate?`1`n`(_$)->Boolean`dPattern(R)``630344
ohasSolution?`2`x`(M,Col)->Boolean`pLinearSystemMatrixPackage(F,Row,Col,M)``630424
ohasSolution?`2`x`(Matrix(F),Vector(F))->Boolean`pLinearSystemMatrixPackage1(F)``630516
ohasTopPredicate?`1`n`(_$)->Boolean`dPattern(R)``630608
ohas_op?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``630687
ohashUpdate!`2`n`(HashState,A)->HashState`xBinaryTreeCategory&(A,S)``0
ohashUpdate!`2`n`(HashState,A)->HashState`xLinearAggregate&(A,S)``0
ohashUpdate!`2`x`(HashState,_$)->HashState`cSetCategory``630826
ohash`1`n`(A)->SingleInteger`xFiniteGraph&(A,S)``0
ohash`1`n`(A)->SingleInteger`xPoset&(A,S)``0
ohash`1`n`(S)->SingleInteger`xSetCategory&(S)``0
ohash`1`x`(_$)->SingleInteger`cSetCategory``631015
ohasoln`2`n`(List(GR),List(GR))->Record(sysok:Boolean,z0:List(GR),n0:List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``631074
ohclf`2`n`(_$,_$)->_$`dFreeMonoid(S)``631319
ohconcat`1`n`(List(_$))->_$`dOutputForm``631497
ohconcat`2`n`(_$,_$)->_$`dOutputForm``631576
ohcrf`2`n`(_$,_$)->_$`dFreeMonoid(S)``631660
ohdmpToDmp`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``631839
ohdmpToP`1`n`(HomogeneousDistributedMultivariatePolynomial(lv,R))->Polynomial(R)`pPolToPol(lv,R)``631928
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,_$)->P`cTriangularSetCategory(R,E,V,P)``632016
oheadReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``632253
oheadReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``632455
oheadReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oheadReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oheadReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``632622
oheadReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``632753
oheadReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``632880
oheadRemainder`2`n`(P,S)->Record(num:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oheadRemainder`2`x`(P,_$)->Record(num:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`632984
ohead`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
ohead`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``633229
ohead`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``633345
oheapSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``633562
oheap`1`x`(List(S))->_$`dHeap(S)``633685
oheight`1`n`(S)->NonNegativeInteger`xExpressionSpace&(S)``0
oheight`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``633776
oheight`1`n`(_$)->NonNegativeInteger`dKernel(S)``633883
oheight`1`x`(_$)->NonNegativeInteger`cExpressionSpace``633946
ohenselFact`2`n`(UP,Boolean)->Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer)))`pGaloisGroupFactorizer(UP)``634240
ohensel_update`3`n`(U32Vector,Integer,_$)->Void`dVectorIntegerReconstructor``634561
ohermiteH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``634595
ohermiteH`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``634652
ohermiteH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``634817
ohermite`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``634874
ohermite`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``635145
ohessian`2`n`(F,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``635226
ohexDigit?`1`x`(_$)->Boolean`dCharacter``635414
ohexDigit`0`x`()->_$`dCharacterClass``635548
ohex`1`x`(Fraction(Integer))->_$`dHexadecimalExpansion``635670
ohi`1`x`(_$)->S`cSegmentCategory(S)``635746
ohighCommonTerms`2`x`(_$,_$)->_$`cFreeAbelianMonoidCategory(S,E)`has(E,OrderedAbelianMonoid)`635848
ohigh`1`x`(_$)->S`cSegmentCategory(S)``636105
ohilbert`1`n`(List(NonNegativeInteger))->SparseUnivariatePolynomial(Fraction(Integer))`pCartanKuranishi(JB,D)``636197
ohitherPlane`2`x`(_$,Float)->Void`dThreeDimensionalViewport``636291
ohomogeneous?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``636473
ohomogeneous?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``636563
ohomogeneous`1`n`(List(GuessOption))->Union(PositiveInteger,Boolean)`dGuessOptionFunctions0``636673
ohomogeneous`1`x`(Union(PositiveInteger,Boolean))->_$`dGuessOption``636804
ohomology0`0`n`()->_$`dHomology``637163
ohomologyGroup`2`n`(Matrix(Integer),Matrix(Integer))->_$`dHomology``637224
ohomology`1`n`(_$)->List(Homology)`dChainComplex``637398
ohomology`1`n`(_$)->List(Homology)`dDeltaComplex(VS)``637446
ohomology`1`n`(_$)->List(Homology)`dFiniteCubicalComplex(VS)``637494
ohomology`1`n`(_$)->List(Homology)`dFiniteSimplicialComplex(VS)``637542
ohomology`3`n`(List(List(Integer)),List(Integer),List(List(Integer)))->_$`dHomology``637706
ohomologyc2`0`n`()->_$`dHomology``637734
ohomologyz`0`n`()->_$`dHomology``637799
ohomologyzc2`0`n`()->_$`dHomology``637863
ohomologyzz`0`n`()->_$`dHomology``637930
ohorizConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``637996
ohorizConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``638133
ohorizJoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``638364
ohorizSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
ohorizSplit`2`n`(_$,C)->Record(Left:_$,Right:_$)`dSparseEchelonMatrix(C,D)``638532
ohorizSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``638731
ohorizSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``638940
ohp_solve`3`n`(List(Vector(SparseUnivariatePolynomial(Expression(Integer)))),List(NonNegativeInteger),NonNegativeInteger)->Matrix(SparseUnivariatePolynomial(Expression(Integer)))`pVectorHermitePadeSolver``639093
ohspace`1`n`(Integer)->_$`dOutputForm``639211
ohtrigs`1`x`(F)->F`pTranscendentalManipulations(R,F)``639274
ohue`1`n`(Point(R))->R`pPointPackage(R)``639375
ohue`1`x`(_$)->Color`dPalette``639698
ohue`1`x`(_$)->Integer`dColor``639776
ohyperelliptic`0`n`()->Union(UP,"failed")`xFunctionFieldCategory&(S,F,UP,UPUP)``639852
ohyperelliptic`0`x`()->Union(UP,"failed")`cFunctionFieldCategory(F,UP,UPUP)``639988
ohypergeometric0F1`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``640124
ohypergeometric0F1`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``640215
ohypergeometricF`3`n`(List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`640306
ohypergeometricF`3`x`(List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`640394
oiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640483
oiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640546
oiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640604
oiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``640667
oiCompose`2`n`(_$,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``640725
oiExquo`3`n`(_$,_$,Boolean)->Union(_$,"failed")`dInnerSparseUnivariatePowerSeries(Coef)``640942
oiLambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``641124
oid_map`1`n`(Var)->Automorphism(R)`pPartialDifferentialOperatorHelper(R,Var)``0
oid`1`x`(A)->A`pMappingPackage1(A)``641184
oidealSimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``641216
oideal`1`n`(Vector(A))->_$`dFractionalIdeal(R,F,UP,A)``641514
oideal`1`x`(List(DPoly))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``641597
oideal`1`x`(_$)->FractionalIdeal(UP,Fraction(UP),UPUP,R)`cFiniteDivisorCategory(F,UP,UPUP,R)``641702
oidealiserMatrix`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``641780
oidealiser`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pIntegralBasisTools(R,UP,F)``641948
oidealiser`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pIntegralBasisTools(R,UP,F)``642048
oidentification`2`n`(_$,_$)->List(Equation(R))`dLieExponentials(VarSet,R,Order)``642205
oidentityMatrix`1`n`(NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`642386
oidentitySquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``642477
oidentity`0`n`()->_$`dSTransform(PT)``642536
oidentity`0`x`()->_$`dDenavitHartenbergMatrix(R)``642620
oiexactQuo`2`n`(R,R)->R`xPolynomialSetCategory&(S,R,E,VarSet,P)``642674
oiexactQuo`2`n`(R,R)->R`xRecursivePolynomialCategory&(S,R,E,V)``642738
oiexactQuo`2`x`(R,R)->R`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`642802
oiexactQuo`2`x`(R,R)->R`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`642866
oignore?`1`n`(String)->Boolean`pDefiniteIntegrationTools(R,F)``642930
oiiAiryAiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643091
oiiAiryAi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643155
oiiAiryBiPrime`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643214
oiiAiryBi`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643278
oiiBesselI`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``643337
oiiBesselJ`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``643397
oiiBesselK`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``643457
oiiBesselY`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``643517
oiiBeta`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``643577
oiiGamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643634
oiiHypergeometricF`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``643692
oiiPolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``643760
oiiabs`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``643825
oiiacos`1`n`(F)->F`pElementaryFunction(R,F)``643881
oiiacosh`1`n`(F)->F`pElementaryFunction(R,F)``643937
oiiacot`1`n`(F)->F`pElementaryFunction(R,F)``643994
oiiacoth`1`n`(F)->F`pElementaryFunction(R,F)``644050
oiiacsc`1`n`(F)->F`pElementaryFunction(R,F)``644107
oiiacsch`1`n`(F)->F`pElementaryFunction(R,F)``644163
oiiasec`1`n`(F)->F`pElementaryFunction(R,F)``644220
oiiasech`1`n`(F)->F`pElementaryFunction(R,F)``644276
oiiasin`1`n`(F)->F`pElementaryFunction(R,F)``644333
oiiasinh`1`n`(F)->F`pElementaryFunction(R,F)``644389
oiiatan`1`n`(F)->F`pElementaryFunction(R,F)``644446
oiiatanh`1`n`(F)->F`pElementaryFunction(R,F)``644502
oiibinom`1`n`(List(F))->F`pCombinatorialFunction(R,F)``644559
oiicos`1`n`(F)->F`pElementaryFunction(R,F)``644617
oiicosh`1`n`(F)->F`pElementaryFunction(R,F)``644672
oiicot`1`n`(F)->F`pElementaryFunction(R,F)``644728
oiicoth`1`n`(F)->F`pElementaryFunction(R,F)``644783
oiicsc`1`n`(F)->F`pElementaryFunction(R,F)``644839
oiicsch`1`n`(F)->F`pElementaryFunction(R,F)``644894
oiidigamma`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``644950
oiidprod`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645010
oiidsum`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645068
oiiexp`1`n`(F)->F`pElementaryFunction(R,F)``645125
oiifact`1`n`(F)->F`pCombinatorialFunction(R,F)``645180
oiilog`1`n`(F)->F`pElementaryFunction(R,F)``645237
oiim2`1`n`(R)->Expression(Integer)`pGuessPolynomialFunctions(R)``645292
oiiperm`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645331
oiipolygamma`1`n`(List(F))->F`pFunctionalSpecialFunction(R,F)``645388
oiipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``645450
oiiretractVar`1`n`(Kernel(Expression(Integer)))->Polynomial(R)`pGuessPolynomialFunctions(R)``645506
oiisec`1`n`(F)->F`pElementaryFunction(R,F)``645545
oiisech`1`n`(F)->F`pElementaryFunction(R,F)``645600
oiisin`1`n`(F)->F`pElementaryFunction(R,F)``645656
oiisinh`1`n`(F)->F`pElementaryFunction(R,F)``645711
oiisqrt2`0`n`()->F`pElementaryFunction(R,F)``645767
oiisqrt3`0`n`()->F`pElementaryFunction(R,F)``645823
oiitan`1`n`(F)->F`pElementaryFunction(R,F)``645879
oiitanh`1`n`(F)->F`pElementaryFunction(R,F)``645934
oimagE`1`x`(_$)->R`cOctonionCategory(R)``645990
oimagI`1`x`(_$)->R`cOctonionCategory(R)``646072
oimagI`1`x`(_$)->R`cQuaternionCategory(R)``646154
oimagJ`1`x`(_$)->R`cOctonionCategory(R)``646238
oimagJ`1`x`(_$)->R`cQuaternionCategory(R)``646320
oimagK`1`x`(_$)->R`cOctonionCategory(R)``646404
oimagK`1`x`(_$)->R`cQuaternionCategory(R)``646486
oimag`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``646570
oimag`1`x`(F)->F`pTrigonometricManipulations(R,F)``646669
oimag`1`x`(_$)->R`cComplexCategory(R)``646768
oimagi`1`x`(_$)->R`cOctonionCategory(R)``646826
oimaginary`0`n`()->S`xComplexCategory&(S,R)``0
oimaginary`0`x`()->_$`cComplexCategory(R)``646898
oimagj`1`x`(_$)->R`cOctonionCategory(R)``646956
oimagk`1`x`(_$)->R`cOctonionCategory(R)``647028
oimplies`2`n`(_$,_$)->_$`dILogic``647100
oimplies`2`x`(_$,_$)->_$`dBoolean``647349
oimplies`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oimplies`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPoset(S)``0
oin?`2`x`(_$,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``647445
oinBounds?`3`n`(_$,_$,_$)->Boolean`cSPointCategory``647535
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
oinDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
oinDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``647681
oinGroundField?`1`x`(_$)->Boolean`cExtensionField(F)``647782
oinHallBasis?`4`x`(Integer,Integer,Integer,Integer)->Boolean`pHallBasis``647889
oinR?`1`n`(_$)->Boolean`dPattern(R)``648288
oinRadical?`2`x`(DPoly,_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``648383
oincFail`2`n`(String,List(OutputForm))->Void`pUnittestCount``648494
oincFatal`1`n`(String)->Void`pUnittestCount``648614
oincLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``648719
oincPass`0`n`()->Void`pUnittestCount``648836
oincXfFail`0`n`()->Void`pUnittestCount``648914
oincXfFatal`1`n`(String)->Void`pUnittestCount``649005
oincXfLibraryError`2`n`(String,List(OutputForm))->Void`pUnittestCount``649056
oincXfPass`2`n`(String,List(OutputForm))->Void`pUnittestCount``649116
oinc`1`x`(_$)->_$`cIntegerNumberSystem``649269
oincidenceAlgebra`2`n`(Matrix(R),List(S))->_$`dIncidenceAlgebra(R,S)``649312
oincidenceAlgebra`2`n`(Matrix(R),OneDimensionalArray(S))->_$`dIncidenceAlgebra(R,S)``649424
oincidenceMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
oincidenceMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``649536
oinconsistent?`1`n`(List(GR))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``649850
oinconsistent?`1`n`(List(Polynomial(R)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``650035
oincr`1`x`(_$)->Integer`cSegmentCategory(S)``650220
oincreasePrecision`1`x`(Integer)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`650375
oincrementBy`1`n`(R)->(R)->R`pIncrementingMaps(R)``650505
oincrementKthElement`2`n`(_$,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``650698
oincrement`0`n`()->(R)->R`pIncrementingMaps(R)``650886
oindentFortLevel`1`n`(Integer)->Void`pFortranCodeTools``651068
oindex?`2`n`(Integer,A)->Boolean`xLazyStreamAggregate&(A,S)``0
oindex?`2`n`(Integer,A)->Boolean`xLinearAggregate&(A,S)``0
oindex?`2`n`(Key,S)->Boolean`xTableAggregate&(S,Key,Entry)``0
oindex?`2`x`(Index,_$)->Boolean`cIndexedAggregate(Index,Entry)``651101
oindexName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``651183
oindexName`1`x`(Symbol)->_$`dGuessOption``651294
oindexToObject`2`n`(A,NonNegativeInteger)->S`xPoset&(A,S)``0
oindexToObject`2`n`(_$,NonNegativeInteger)->S`cPoset(S)``651433
oindex`1`n`(PositiveInteger)->A`xFiniteSetAggregate&(A,S)``0
oindex`1`n`(PositiveInteger)->S`xDirectProductCategory&(S,dim,R)``0
oindex`1`n`(PositiveInteger)->S`xFramedModule&(S,R)``0
oindex`1`n`(PositiveInteger)->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oindex`1`n`(_$)->IS`dModuleMonomial(IS,E,ff)``651476
oindex`1`n`(_$)->PositiveInteger`cJetBundleCategory``651513
oindex`1`x`(PositiveInteger)->_$`cFinite``651582
oindex`2`n`(PositiveInteger,PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``651830
oindexes`1`n`(_$)->List(List(NonNegativeInteger))`dSceneIFS(PT)``651932
oindiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``652000
oindiceSubResultant`3`n`(polR,polR,NonNegativeInteger)->polR`pPseudoRemainderSequence(R,polR)``652158
oindices`1`n`(A)->List(Integer)`xLazyStreamAggregate&(A,S)``0
oindices`1`n`(A)->List(Integer)`xLinearAggregate&(A,S)``0
oindices`1`n`(S)->List(Key)`xTableAggregate&(S,Key,Entry)``0
oindices`1`n`(_$)->OneDimensionalArray(S)`dIncidenceAlgebra(R,S)``652248
oindices`1`x`(_$)->List(Index)`cIndexedAggregate(Index,Entry)``652319
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->UP`pRationalLODE(F,UP)``652416
oindicialEquationAtInfinity`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->UP`pRationalLODE(F,UP)``652516
oindicialEquation`2`n`(L,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``652616
oindicialEquation`2`n`(LQ,F)->UP`pPrimitiveRatDE(F,UP,L,LQ)``652712
oindicialEquations`1`n`(L)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``652808
oindicialEquations`1`n`(LQ)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``653042
oindicialEquations`2`n`(L,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``653276
oindicialEquations`2`n`(LQ,UP)->List(Record(center:UP,equation:UP))`pPrimitiveRatDE(F,UP,L,LQ)``653544
oinfLex?`4`n`(_$,_$,(V,V)->Boolean,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``653812
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)``653993
oinfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``654091
oinfRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``654189
oinfRittWu?`2`x`(_$,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``654370
oinf`1`x`(_$)->R`cIntervalCategory(R)``654496
oinfieldIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->Union(Fraction(Polynomial(F)),"failed")`pRationalFunctionIntegration(F)``654550
oinfieldint`1`n`(Fraction(UP))->Union(Fraction(UP),"failed")`pRationalIntegration(F,UP)``654686
oinfinite?`1`x`(_$)->Boolean`dOnePointCompletion(R)``654823
oinfinite?`1`x`(_$)->Boolean`dOrderedCompletion(R)``654881
oinfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``654955
oinfinityNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``655103
oinfinity`0`x`()->OnePointCompletion(Integer)`pInfinity``655216
oinfinity`0`x`()->_$`dOnePointCompletion(R)``655259
oinfix?`1`n`(_$)->Boolean`dOutputForm``655302
oinfix`2`n`(_$,List(_$))->_$`dOutputForm``655412
oinfix`3`n`(_$,_$,_$)->_$`dOutputForm``655556
oinfsum`1`n`(Stream(_$))->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``655644
oini_rdata`2`n`(U32Vector,Integer)->List(Record(ind:NonNegativeInteger,poly:U32Vector))`pModularFactorization``0
oinitTable!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``655786
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`()->_$`cStepThrough``655841
oinit`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oinit`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``655902
oinitial`0`n`()->A`xPoset&(A,S)``0
oinitial`0`n`()->_$`cFiniteGraph(S)``656095
oinitial`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oinitial`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``656162
oinitializeGroupForWordProblem`1`x`(_$)->Void`dPermutationGroup(S)``656314
oinitializeGroupForWordProblem`3`x`(_$,Integer,Integer)->Void`dPermutationGroup(S)``656754
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,_$)->P`cTriangularSetCategory(R,E,V,P)``657221
oinitiallyReduce`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``657469
oinitiallyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``657681
oinitiallyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oinitiallyReduced?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oinitiallyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``657924
oinitiallyReduced?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``658126
oinitiallyReduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``658263
oinitials`1`n`(S)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
oinitials`1`x`(_$)->List(P)`cTriangularSetCategory(R,E,V,P)``658431
oinnerEigenvectors`3`n`(Matrix(K),Par,(SparseUnivariatePolynomial(K))->Factored(SparseUnivariatePolynomial(K)))->List(Record(outval:F,outmult:Integer,outvect:List(Matrix(F))))`pInnerNumericEigenPackage(K,F,Par)``658533
oinnerSolve1`2`n`(Polynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``658859
oinnerSolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericFloatSolvePackage(K,F,Par)``658972
oinnerSolve`4`n`(List(Polynomial(K)),List(Polynomial(K)),List(Symbol),Par)->List(List(F))`pInnerNumericFloatSolvePackage(K,F,Par)``659098
oinnerint`5`x`(F,Symbol,OrderedCompletion(F),OrderedCompletion(F),Boolean)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``659452
oinput`1`x`(_$)->Union((List(InputForm))->InputForm,"failed")`dBasicOperator``659536
oinput`2`x`(_$,(List(InputForm))->InputForm)->_$`dBasicOperator``659650
oinrootof`2`n`(SparseUnivariatePolynomial(F),F)->F`pAlgebraicFunction(R,F)``659872
oinsert!`2`n`(Key,Entry)->Void`pTabulatedComputationPackage(Key,Entry)``659938
oinsert!`2`n`(Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
oinsert!`2`x`(S,_$)->_$`cBagAggregate(S)``660035
oinsert!`2`x`(S,_$)->_$`dBinarySearchTree(S)``660106
oinsert!`2`x`(S,_$)->_$`dBinaryTournament(S)``660206
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)``660305
oinsert!`3`x`(S,_$,NonNegativeInteger)->_$`cMultiDictionary(S)``660407
oinsert!`3`x`(_$,_$,Integer)->_$`cExtensibleLinearAggregate(S)``660518
oinsertBottom!`2`x`(S,_$)->S`cDequeueAggregate(S)``660630
oinsertMatch`3`n`(Pattern(R),S,_$)->_$`dPatternMatchResult(R,S)``660760
oinsertRoot!`2`x`(S,_$)->_$`dBinarySearchTree(S)``660926
oinsertTop!`2`x`(S,_$)->S`cDequeueAggregate(S)``661029
oinsert`2`n`(List(D),_$)->_$`dJetDifferentialEquation(JB,D)``661265
oinsert`3`n`(A,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(A,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xExtensibleLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLazyStreamAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xLinearAggregate&(A,S)``0
oinsert`3`n`(S,A,Integer)->A`xOneDimensionalArrayAggregate&(A,S)``0
oinsert`3`x`(S,_$,Integer)->_$`cLinearAggregate(S)``661368
oinsert`3`x`(_$,_$,Integer)->_$`cLinearAggregate(S)``661549
oinsertionSort!`1`n`(A)->A`pSortPackage(S,A)`has(S,OrderedSet)`661743
oinsertionSort!`2`n`(A,(S,S)->Boolean)->A`pSortPackage(S,A)``661786
oinspect`1`n`(S)->Record(key:Key,entry:Entry)`xTableAggregate&(S,Key,Entry)``0
oinspect`1`x`(_$)->S`cBagAggregate(S)``661837
ointBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``661902
ointBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``662018
ointBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``662133
ointBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``662279
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)``662371
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)))`662411
oint`1`n`(A)->Stream(A)`pStreamTaylorSeriesOperations(A)``662664
oint`1`n`(_$)->_$`dOutputForm``662776
oint`2`n`(F,Symbol)->F`pODEIntegration(R,F)``662862
oint`2`n`(_$,_$)->_$`dOutputForm``662947
oint`3`n`(_$,_$,_$)->_$`dOutputForm``663063
ointcompBasis`3`n`(OrderedVariableList(lv),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(HomogeneousDistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``663220
ointeg_df`2`n`(UPS,UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``663261
ointeg`1`n`(UPS)->UPS`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``663316
ointeger?`1`n`(OutputForm)->Boolean`pOutputFormTools``663368
ointeger?`1`n`(_$)->Boolean`dFortranScalarType``663459
ointeger?`1`x`(S)->Boolean`pIntegerRetractions(S)``663551
ointeger?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``663645
ointegerBound`1`n`(UP)->Integer`pBoundIntegerRoots(F,UP)``663728
ointegerBound`1`n`(UP)->Integer`pPolynomialRationalRoots(F,UP)``663874
ointegerIfCan`1`x`(S)->Union(Integer,"failed")`pIntegerRetractions(S)``664020
ointegerPart`1`n`(_$)->NonNegativeInteger`dSmallOrdinal``664124
ointeger`1`n`(OutputForm)->Integer`pOutputFormTools``664232
ointeger`1`x`(S)->Integer`pIntegerRetractions(S)``664348
ointeger`1`x`(_$)->Int`cSExpressionCategory(Str,Sym,Int,Flt)``664442
ointegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``664566
ointegral?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegral?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664633
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`(_$,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664708
ointegral?`2`x`(_$,UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664800
ointegralAtInfinity?`1`n`(S)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``0
ointegralAtInfinity?`1`x`(_$)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``664895
ointegralBasisAtInfinity`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``664983
ointegralBasis`0`n`()->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``665069
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``665937
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``666805
ointegralBasis`0`n`()->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``667665
ointegralBasis`0`x`()->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``668533
ointegralCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``668605
ointegralDerivationMatrix`1`x`((UP)->UP)->Record(num:Matrix(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``668816
ointegralLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``669161
ointegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``669277
ointegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``669506
ointegralRepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``669731
ointegral`2`n`(F,F)->_$`dIntegrationResult(F)``669903
ointegral`2`n`(F,SegmentBinding(F))->F`pLiouvillianFunction(R,F)``669999
ointegral`2`n`(F,Symbol)->F`pLiouvillianFunction(R,F)``670131
ointegral`2`n`(F,Symbol)->_$`dIntegrationResult(F)`has(F,RetractableTo(Symbol))`670220
ointegral`2`x`(_$,SegmentBinding(_$))->_$`cPrimitiveFunctionCategory``670316
ointegral`2`x`(_$,Symbol)->_$`cPrimitiveFunctionCategory``670457
ointegrateIfCan`2`n`(S,PositiveInteger)->Union(S,"failed")`xJetBundleCategory&(S)``0
ointegrateIfCan`2`n`(_$,PositiveInteger)->Union(_$,"failed")`cJetBundleCategory``670539
ointegrate_sols`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->Record(ltilde:LinearOrdinaryDifferentialOperator1(Fraction(UP)),r:Union(LinearOrdinaryDifferentialOperator1(Fraction(UP)),"failed"))`pRationalLODE(F,UP)``670664
ointegrate_sols`2`n`(L,(L,F)->Record(particular:Union(F,"failed"),basis:List(F)))->Record(ltilde:L,r:Union(L,"failed"))`pIntegrateSolutions(F,L)``670746
ointegrate`1`n`(Fraction(UP))->IntegrationResult(Fraction(UP))`pRationalIntegration(F,UP)``671204
ointegrate`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
ointegrate`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`671273
ointegrate`1`x`(_$)->_$`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`671456
ointegrate`1`x`(_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Algebra(Fraction(Integer)))`671645
ointegrate`1`x`(_$)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`671762
ointegrate`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)`has(Coef,Algebra(Fraction(Integer)))`671959
ointegrate`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`672148
ointegrate`2`n`(Coef,Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``672412
ointegrate`2`n`(S,PositiveInteger)->S`xJetBundleCategory&(S)``0
ointegrate`2`n`(_$,PositiveInteger)->_$`cJetBundleCategory``672517
ointegrate`2`n`(_$,Variable('x))->_$`dUnivariateFormalPowerSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`0
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672648
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`672837
ointegrate`2`n`(_$,Variable(var))->_$`dSparseUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673026
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateLaurentSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673220
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariatePuiseuxSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673409
ointegrate`2`n`(_$,Variable(var))->_$`dUnivariateTaylorSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`673598
ointegrate`2`x`(F,SegmentBinding(OrderedCompletion(F)))->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``673792
ointegrate`2`x`(F,Symbol)->Union(F,List(F))`pFunctionSpaceIntegration(R,F)``673956
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)``674071
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)``674235
ointegrate`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Expression(R),List(Expression(R)))`pIntegrationResultRFToFunction(R)`has(R,CharacteristicZero)`674399
ointegrate`2`x`(UPS,Distribution(R))->S`pDistributionPolynomialPackage(R,S,UPS)``674514
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateLaurentSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`674645
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))))`674778
ointegrate`2`x`(_$,Symbol)->_$`cUnivariatePuiseuxSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`674911
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))))`675044
ointegrate`2`x`(_$,Symbol)->_$`cUnivariateTaylorSeriesCategory(Coef)`AND(has(Coef,Algebra(Fraction(Integer))),has(Coef,AlgebraicallyClosedFunctionSpace(Integer)),has(Coef,PrimitiveFunctionCategory),has(Coef,TranscendentalFunctionCategory))`675177
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))))`675310
ointegrate`2`x`(_$,Symbol)->_$`dPolynomial(R)`has(R,Algebra(Fraction(Integer)))`675443
ointegrate`2`x`(_$,Var)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)`has(Coef,Algebra(Fraction(Integer)))`675607
ointegrate`2`x`(_$,Variable(var))->_$`dGeneralUnivariatePowerSeries(Coef,var,cen)`has(Coef,Algebra(Fraction(Integer)))`675837
ointegrate`3`n`(_$,Var,Coef)->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)`has(Coef,Algebra(Fraction(Integer)))`676026
ointegrate`3`x`(F,SegmentBinding(OrderedCompletion(F)),String)->Union(f1:OrderedCompletion(F),f2:List(OrderedCompletion(F)),fail:"failed",pole:"potentialPole")`pElementaryFunctionDefiniteIntegration(R,F)``676182
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)``676593
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)``677004
ointegrate`3`x`(_$,Symbol,Coef)->_$`dTaylorSeries(Coef)`has(Coef,Algebra(Fraction(Integer)))`677415
ointensity`2`x`(_$,Float)->Void`dThreeDimensionalViewport``677571
ointerReduce`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``677769
ointernal?`1`n`(_$)->Boolean`dSubSpace(n,R)``678067
ointernalAugment`2`x`(List(P),_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``678108
ointernalAugment`2`x`(P,_$)->_$`cRegularTriangularSetCategory(R,E,V,P)``678273
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``678385
ointernalAugment`7`x`(P,_$,Boolean,Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``678515
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)``678645
ointernalInfRittWu?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``678751
ointernalIntegrate0`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``678857
ointernalIntegrate`2`x`(F,Symbol)->IntegrationResult(F)`pFunctionSpaceComplexIntegration(R,F)``678940
ointernalIntegrate`2`x`(Fraction(Polynomial(F)),Symbol)->IntegrationResult(Fraction(Polynomial(F)))`pRationalFunctionIntegration(F)``679066
ointernalLastSubResultant`3`x`(List(Record(val:List(P),tower:TS)),V,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``679151
ointernalLastSubResultant`5`x`(P,P,TS,Boolean,Boolean)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``679270
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``679404
ointernalSubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``679643
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pQuasiComponentPackage(R,E,V,P,TS)``679882
ointernalSubQuasiComponent?`2`x`(TS,TS)->Union(Boolean,"failed")`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``680143
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``680399
ointernalZeroSetSplit`4`x`(List(P),Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``680517
ointerpolate`2`n`(List(F),List(F))->SparseUnivariatePolynomial(F)`pPolynomialInterpolation(xx,F)``680635
ointerpolate`3`n`(List(D),List(D),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``680685
ointerpolate`3`n`(List(Fraction(D)),List(Fraction(D)),NonNegativeInteger)->Fraction(SparseUnivariatePolynomial(D))`pFractionFreeFastGaussian(D,V)``681082
ointerpolate`3`n`(UnivariatePolynomial(xx,F),List(F),List(F))->UnivariatePolynomial(xx,F)`pPolynomialInterpolation(xx,F)``681261
ointerpolate`4`n`(List(F),List(F),NonNegativeInteger,NonNegativeInteger)->Fraction(Polynomial(F))`pRationalInterpolation(xx,F)``0
ointerpretString`1`n`(String)->Any`pTemplateUtilities``681316
ointerpret`1`n`(InputForm)->R`pInputFormFunctions1(R)``681427
ointerpret`1`n`(_$)->Any`dInputForm``681551
ointersect`1`x`(List(_$))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``681614
ointersect`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ointersect`2`n`(List(P),List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(List(P),S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,List(S))->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`n`(P,S)->List(S)`xRegularTriangularSetCategory&(S,R,E,V,P)``0
ointersect`2`x`(List(P),List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``681701
ointersect`2`x`(List(P),_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``681808
ointersect`2`x`(P,List(_$))->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``681986
ointersect`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``682069
ointersect`2`x`(_$,_$)->_$`cSetAggregate(S)``682150
ointersect`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``682421
ointersection`1`n`(List(_$))->_$`dSBoundary(PT)``682516
ointerval`1`x`(Fraction(Integer))->_$`cIntervalCategory(R)``682682
ointerval`1`x`(R)->_$`cIntervalCategory(R)``682748
ointerval`2`x`(R,R)->_$`cIntervalCategory(R)``682814
ointoMatrix`2`x`(List(P),List(OV))->Record(mat:Matrix(Fraction(P)),vec:Vector(Fraction(P)))`pLinearSystemPolynomialPackage(R,E,OV,P)``682956
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)``683078
oinv`1`n`(_$)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``683150
oinv`1`n`(_$)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``683185
oinv`1`x`(_$)->_$`cDivisionRing``683220
oinv`1`x`(_$)->_$`cGroup``683313
oinv`1`x`(_$)->_$`cOctonionCategory(R)`has(R,Field)`683367
oinv`1`x`(_$)->_$`dEquation(S)`has(S,Field)`683434
oinverseColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->List(Integer)`pSymmetricGroupCombinatoricFunctions``683503
oinverseIntegralMatrixAtInfinity`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``684219
oinverseIntegralMatrix`0`x`()->Matrix(Fraction(UP))`cFunctionFieldCategory(F,UP,UPUP)``684455
oinverseLaplace`3`x`(F,Symbol,Symbol)->Union(F,"failed")`pInverseLaplaceTransform(R,F)``684684
oinverse`1`n`(List(S))->List(S)`pTableauxBumpers(S)``684894
oinverse`1`n`(M)->Union(M,"failed")`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``684962
oinverse`1`n`(M)->Union(M2,"failed")`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``685124
oinverse`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,Field)`685344
oinverse`1`x`(_$)->Union(_$,"failed")`cMatrixCategory(R,Row,Col)`has(R,Field)`685497
oinverse`1`x`(_$)->Union(_$,"failed")`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,Field)`685659
oinvertIfCan`1`x`(M)->Union(M,"failed")`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`685791
oinvertIfCan`1`x`(_$)->Union(_$,"failed")`dMatrix(R)`has(R,IntegralDomain)`685866
oinvertible?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``686032
oinvertible?`2`x`(P,_$)->List(Record(val:Boolean,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``686154
oinvertibleElseSplit?`2`x`(P,_$)->Union(Boolean,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``686375
oinvertibleSet`2`x`(P,_$)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``686572
oinvmod`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
oinvmod`2`x`(_$,_$)->_$`cIntegerNumberSystem``686752
oinvmultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``686845
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
oinvmultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``686962
oiomode`1`x`(_$)->String`cFileCategory(Name,S)``687094
oipow`1`n`(List(F))->F`pCombinatorialFunction(R,F)``687240
oiprint`1`n`(String)->Void`pInternalPrintPackage``687295
oirootDep`1`x`(Kernel(F))->Union(vec:Vector(Fraction(Integer)),func:F,fail:Boolean)`pElementaryFunctionStructurePackage(R,F)``687374
oiroot`2`n`(R,Integer)->F`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`687455
oirreducible?`1`x`(FP)->Boolean`pDistinctDegreeFactorize(F,FP)``687518
oirreducibleFactor`2`x`(R,Integer)->_$`dFactored(R)``687602
oirreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`687765
oirreducibleRepresentation`1`x`(List(Integer))->List(Matrix(Integer))`pIrrRepSymNatPackage``688037
oirreducibleRepresentation`2`x`(List(Integer),List(Permutation(Integer)))->List(Matrix(Integer))`pIrrRepSymNatPackage``688392
oirreducibleRepresentation`2`x`(List(Integer),Permutation(Integer))->Matrix(Integer)`pIrrRepSymNatPackage``688618
ois?`2`n`(S,BasicOperator)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(S,Symbol)->Boolean`xExpressionSpace&(S)``0
ois?`2`n`(_$,BasicOperator)->Boolean`dKernel(S)``688896
ois?`2`n`(_$,Symbol)->Boolean`dKernel(S)``688964
ois?`2`x`(List(Subject),Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``689045
ois?`2`x`(Subject,Pat)->Boolean`pPatternMatch(Base,Subject,Pat)``689172
ois?`2`x`(_$,BasicOperator)->Boolean`cExpressionSpace``689264
ois?`2`x`(_$,Symbol)->Boolean`cExpressionSpace``689348
ois?`2`x`(_$,Symbol)->Boolean`dBasicOperator``689449
oisAbsolutelyIrreducible?`1`x`(List(Matrix(R)))->Boolean`pRepresentationPackage2(R)`has(R,Field)`689520
oisAbsolutelyIrreducible?`2`x`(List(Matrix(R)),Integer)->Boolean`pRepresentationPackage2(R)`has(R,Field)`689656
oisAcyclic?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisAcyclic?`1`n`(_$)->Boolean`cFiniteGraph(S)``690156
oisAntiChain?`1`n`(_$)->Boolean`cPoset(S)``690226
oisAntisymmetric?`1`n`(A)->Boolean`xPoset&(A,S)``0
oisAntisymmetric?`1`n`(_$)->Boolean`cPoset(S)``690330
oisBasis?`1`n`(List(Vector(R)))->Boolean`dVectorSpaceBasis(R)``690471
oisBoundNode?`1`n`(_$)->Boolean`dLambda(UT)``690549
oisBox?`1`n`(_$)->Boolean`dSBoundary(PT)``690620
oisChain?`1`n`(_$)->Boolean`cPoset(S)``690699
oisCompound?`1`n`(_$)->Boolean`dLambda(UT)``690801
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisDirectSuccessor?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisDirectSuccessor?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``690891
oisDirected?`0`n`()->Boolean`cFiniteGraph(S)``691056
oisDirected?`0`n`()->Boolean`xFiniteGraph&(A,S)``691176
oisDirected?`0`n`()->Boolean`xPoset&(A,S)``0
oisEllipse?`1`n`(_$)->Boolean`dSBoundary(PT)``691296
oisExpt`1`n`(F)->Union(Record(var:V,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``691377
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)``691484
oisExpt`1`x`(_$)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`691596
oisExpt`1`x`(_$)->Union(Record(var:VarSet,exponent:NonNegativeInteger),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`691681
oisExpt`2`n`(S,BasicOperator)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`n`(S,Symbol)->Union(Record(var:Kernel(S),exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisExpt`2`x`(_$,BasicOperator)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`691794
oisExpt`2`x`(_$,Symbol)->Union(Record(var:Kernel(_$),exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`691906
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisFixPoint?`2`n`(A,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisFixPoint?`2`n`(_$,NonNegativeInteger)->Boolean`cFiniteGraph(S)``692016
oisFreeNode?`1`n`(_$)->Boolean`dLambda(UT)``692095
oisFunctional?`1`n`(A)->Boolean`xFiniteGraph&(A,S)``0
oisFunctional?`1`n`(_$)->Boolean`cFiniteGraph(S)``692168
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xFiniteGraph&(A,S)``0
oisGreaterThan?`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
oisGreaterThan?`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cFiniteGraph(S)``692331
oisI?`1`n`(_$)->Boolean`dSKICombinators(UT)``692541
oisK?`1`n`(_$)->Boolean`dSKICombinators(UT)``692607
oisLambda?`1`n`(_$)->Boolean`dLambda(UT)``692672
oisList`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``692745
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)`692857
oisNodeBranch?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``692944
oisNodeLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``693016
oisNull?`1`n`(_$)->Boolean`dSBoundary(PT)``693108
oisOp`1`n`(_$)->Union(Record(op:BasicOperator,arg:List(_$)),"failed")`dPattern(R)``693203
oisOp`2`n`(_$,BasicOperator)->Union(List(_$),"failed")`dPattern(R)``693327
oisPlus`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``693449
oisPlus`1`n`(S)->Union(List(S),"failed")`xFunctionSpace&(S,R)``0
oisPlus`1`n`(S)->Union(List(S),"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oisPlus`1`n`(_$)->Union(List(_$),"failed")`dPattern(R)``693581
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,AbelianSemiGroup)`693724
oisPlus`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)``693825
oisPoint?`1`n`(_$)->Boolean`cSPointCategory``693981
oisPointLeaf?`1`n`(_$)->Boolean`dSceneNamedPoints(PT)``694078
oisPower`1`n`(F)->Union(Record(val:F,exponent:Integer),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``694199
oisPower`1`n`(S)->Union(Record(val:S,exponent:Integer),"failed")`xFunctionSpace&(S,R)``0
oisPower`1`n`(_$)->Union(Record(val:_$,exponent:_$),"failed")`dPattern(R)``694307
oisPower`1`x`(_$)->Union(Record(val:_$,exponent:Integer),"failed")`cFunctionSpace(R)`has(R,Ring)`694403
oisQuotient`1`n`(_$)->Union(Record(num:_$,den:_$),"failed")`dPattern(R)``694489
oisS?`1`n`(_$)->Boolean`dSKICombinators(UT)``694588
oisSubsetOf?`2`n`(_$,_$)->Boolean`dOrientedFacet``694653
oisTimes`1`n`(F)->Union(List(F),"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``694779
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)``694901
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cFunctionSpace(R)`has(R,SemiGroup)`695031
oisTimes`1`x`(_$)->Union(List(_$),"failed")`cPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`695131
oisVector?`1`n`(_$)->Boolean`cSPointCategory``695430
ois_symbol?`2`n`(OutputForm,Symbol)->Boolean`pOutputFormTools``695525
oisobaric?`1`n`(A)->Boolean`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oisobaric?`1`x`(_$)->Boolean`cDifferentialPolynomialCategory(R,S,V,E)``695639
oiter`3`n`((A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``695822
oiteratedInitials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
oiteratedInitials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``695899
ojacobi2poly`2`n`(Stream(R),Stream(R))->Stream(SparseUnivariatePolynomial(R))`pMomentPackage(R)``696051
ojacobiCn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``696198
ojacobiCn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``696368
ojacobiCn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``696485
ojacobiCn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``696549
ojacobiCn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``696613
ojacobiDn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``696784
ojacobiDn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``696956
ojacobiDn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``697073
ojacobiDn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``697137
ojacobiDn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``697201
ojacobiIdentity?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``697374
ojacobiIdentity?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``697584
ojacobiMatrix`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``697794
ojacobiMatrix`1`n`(_$)->List(SparseEchelonMatrix(JB,D))`dJetDifferentialEquation(JB,D)``697894
ojacobiMatrix`2`n`(List(S),List(List(JB)))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
ojacobiMatrix`2`n`(List(_$),List(List(JB)))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``697997
ojacobiP`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``698226
ojacobiP`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``698291
ojacobiParameters`1`n`(_$)->Record(an:Stream(Fraction(R)),bn:Stream(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`698356
ojacobiParameters`1`n`(_$)->Record(an:Stream(R),bn:Stream(R))`cDistributionCategory(R)`has(R,Field)`698469
ojacobiPathArray`2`n`(Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``698582
ojacobiSn`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``698760
ojacobiSn`2`n`(UTS,Coef)->UTS`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``698903
ojacobiSn`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``699020
ojacobiSn`2`x`(Float,Float)->Float`pFloatEllipticFunctions``699084
ojacobiSn`2`x`(_$,_$)->_$`cSpecialFunctionCategory``699148
ojacobiTheta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699292
ojacobiTheta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``699375
ojacobiZeta`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``699458
ojacobiZeta`2`x`(Float,Float)->Float`pFloatEllipticFunctions``699660
ojacobiZeta`2`x`(_$,_$)->_$`cSpecialFunctionCategory``699721
ojacobi`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``699923
ojacobian`2`n`(FLAF,FLAS)->Matrix(F)`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``700207
ojanko2`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``700406
ojanko2`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``700494
ojetVariables`1`n`(_$)->List(JB)`cJetBundleFunctionCategory(JB)``700731
ojoinIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``700840
ojoinIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
ojoinIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``700913
ojoin`1`n`(List(_$))->_$`dLatticeJoinOfMeets``701142
ojoin`1`n`(List(_$))->_$`dLatticeMeetOfJoins``701180
ojoin`2`n`(_$,_$)->_$`dJetDifferentialEquation(JB,D)``701218
ojoin`2`n`(_$,_$)->_$`dOrientedFacet``701319
ojoin`2`n`(_$,_$)->_$`dSparseEchelonMatrix(C,D)``701465
ojoin`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cDcpo(S)``701547
ojordanAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``701704
ojordanAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``701995
ojordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``702286
ojordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``702646
okaratsubaDivide`2`x`(_$,NonNegativeInteger)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`703006
okaratsubaOnce`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``703106
okaratsuba`4`x`(U,U,NonNegativeInteger,NonNegativeInteger)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``703275
okelvinBei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``703634
okelvinBei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``703811
okelvinBer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``703989
okelvinBer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``704166
okelvinKei`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``704344
okelvinKei`2`x`(_$,_$)->_$`cSpecialFunctionCategory``704538
okelvinKer`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``704733
okelvinKer`2`x`(_$,_$)->_$`cSpecialFunctionCategory``704927
okernel`1`n`(Symbol)->_$`dKernel(S)``705122
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``705183
okernel`2`x`(BasicOperator,_$)->_$`cExpressionSpace``705290
okernel`3`n`(BasicOperator,List(S),NonNegativeInteger)->_$`dKernel(S)``705374
okernels`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(List(S))->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
okernels`1`n`(S)->List(Kernel(S))`xFunctionSpace&(S,R)``0
okernels`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``705575
okernels`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``705781
okey?`2`n`(Key,S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
okey?`2`x`(Key,_$)->Boolean`cKeyedDictionary(Key,Entry)``705947
okey`1`n`(_$)->Integer`dGraphImage``706020
okey`1`n`(_$)->Integer`dTwoDimensionalViewport``706151
okey`1`x`(_$)->Integer`dThreeDimensionalViewport``706309
okeys`1`n`(S)->List(Key)`xKeyedDictionary&(S,Key,Entry)``0
okeys`1`x`(_$)->List(Key)`cKeyedDictionary(Key,Entry)``706471
okgraph`2`n`(List(S),String)->A`xPoset&(A,S)``0
okgraph`2`n`(List(S),String)->_$`cFiniteGraph(S)``706538
okleinBottle`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``706857
okleinBottle`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``706897
okleinBottle`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``706965
okmax`1`n`(List(Kernel(F)))->Kernel(F)`pIntegrationTools(R,F)``707039
oknownInfBasis`1`n`(NonNegativeInteger)->Void`dAlgebraicFunctionField(F,UP,UPUP,modulus)``707126
okovacic`3`n`(Fraction(UP),Fraction(UP),Fraction(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``707173
okovacic`4`n`(Fraction(UP),Fraction(UP),Fraction(UP),(UP)->Factored(UP))->Union(SparseUnivariatePolynomial(Fraction(UP)),"failed")`pKovacic(F,UP)``707497
okprod`1`x`(List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``707941
okprod`1`x`(List(Float))->Float`pFloatEllipticFunctions``707962
okroneckerDelta`0`x`()->_$`dCartesianTensor(minix,dim,R)``707983
okroneckerProduct`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`708178
okroneckerProduct`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerProduct`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`708383
okroneckerSum`1`n`(List(S))->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`1`x`(List(_$))->_$`cMatrixCategory(R,Row,Col)``708550
okroneckerSum`2`n`(S,S)->S`xMatrixCategory&(S,R,Row,Col)``0
okroneckerSum`2`x`(_$,_$)->_$`cMatrixCategory(R,Row,Col)``708684
okronecker_prod1`7`n`(S,Integer,List(List(NonNegativeInteger)),List(S),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`xMatrixCategory&(S,R,Row,Col)``0
okronecker_prod1`7`x`(_$,Integer,List(List(NonNegativeInteger)),List(_$),NonNegativeInteger,NonNegativeInteger,Union(R,"one"))->Void`cMatrixCategory(R,Row,Col)``708780
oksec`3`n`(Kernel(F),List(Kernel(F)),Symbol)->Kernel(F)`pIntegrationTools(R,F)``708820
okummerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``708942
okummerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``709009
okummerU`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``709079
okummerU`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``709146
olSpaceBasis`1`n`(_$)->Vector(R)`dFiniteDivisor(F,UP,UPUP,R)``709216
olabel`2`n`(_$,_$)->_$`dOutputForm``709325
olagrange`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``709401
olagrange`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olagrange`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``709531
olaguerreL`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``709685
olaguerreL`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``709859
olaguerreL`3`x`(NonNegativeInteger,NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)``709923
olaguerreL`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``710074
olaguerre`1`n`(Integer)->SparseUnivariatePolynomial(Integer)`pPolynomialNumberTheoryFunctions``710138
olambda`1`n`(NonNegativeInteger)->_$`dLambda(UT)``710418
olambda`1`n`(UT)->_$`dLambda(UT)``710492
olambda`2`n`(_$,List(Symbol))->_$`dInputForm``710541
olambda`2`n`(_$,UT)->_$`dLambda(UT)``710724
olambda`2`n`(_$,_$)->_$`dLambda(UT)``710800
olambertW0`1`n`(UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``710851
olambertW`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``710947
olambertW`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``711018
olambertW`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``711078
olambertW`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``711138
olambertW`1`x`(Float)->Float`pFloatSpecialFunctions``711198
olambertW`1`x`(_$)->_$`cSpecialFunctionCategory``711258
olambert_inverse_series`2`x`(Complex(DoubleFloat),Complex(DoubleFloat))->Complex(DoubleFloat)`pFloatSpecialFunctions``711369
olambert_inverse_series`2`x`(Complex(Float),Complex(Float))->Complex(Float)`pFloatSpecialFunctions``711389
olambert_inverse_series`2`x`(DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``711409
olambert_inverse_series`2`x`(Float,Float)->Float`pFloatSpecialFunctions``711429
olambert_via_newton1`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``711449
olambert_via_newton1`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``711469
olambert_via_newton1`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``711489
olambert_via_newton1`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``711509
olambert_via_newton2`3`x`(Complex(DoubleFloat),Complex(DoubleFloat),DoubleFloat)->Complex(DoubleFloat)`pFloatSpecialFunctions``711529
olambert_via_newton2`3`x`(Complex(Float),Complex(Float),Float)->Complex(Float)`pFloatSpecialFunctions``711549
olambert_via_newton2`3`x`(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``711569
olambert_via_newton2`3`x`(Float,Float,Float)->Float`pFloatSpecialFunctions``711589
olambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``711609
olambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
olambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``711918
olambintegrate`6`n`(Fraction(UP),F,(F)->F,(UP)->UP,(F)->Union(Record(ratpart:F,coeff:F),"failed"),(F)->IntegrationResult(F))->Record(answer:IntegrationResult(Fraction(UP)),a0:IntegrationResult(F))`pTranscendentalIntegration(F,UP)``712285
olanden1`2`x`(Complex(Float),List(Complex(Float)))->List(Complex(Float))`pFloatEllipticFunctions``712645
olanden1`2`x`(Float,List(Float))->List(Float)`pFloatEllipticFunctions``712666
olanden2`3`x`(Complex(Float),List(Complex(Float)),Float)->List(Complex(Float))`pFloatEllipticFunctions``712687
olanden2`3`x`(Float,List(Float),Float)->List(Float)`pFloatEllipticFunctions``712708
olanden`2`x`(Complex(Float),Float)->List(Complex(Float))`pFloatEllipticFunctions``712729
olanden`2`x`(Float,Float)->List(Float)`pFloatEllipticFunctions``712750
olaplace`3`x`(F,Symbol,Symbol)->F`pLaplaceTransform(R,F)``712771
olaplacianMatrix`1`n`(A)->Matrix(Integer)`xFiniteGraph&(A,S)``0
olaplacianMatrix`1`n`(_$)->Matrix(Integer)`cFiniteGraph(S)``713043
olaplacian`2`n`(F,FLAS)->F`pMultiVariableCalculusFunctions(S,F,FLAF,FLAS)``713604
olargest`1`n`(List(S))->S`pUserDefinedPartialOrdering(S)`has(S,OrderedSet)`713749
olargest`2`n`(List(S),(S,S)->Boolean)->S`pUserDefinedPartialOrdering(S)``713919
olastSubResultantElseSplit`3`x`(P,P,_$)->Union(P,List(_$))`cRegularTriangularSetCategory(R,E,V,P)``714081
olastSubResultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``714440
olastSubResultant`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`714596
olastSubResultant`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``714800
olastSubResultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`714904
olastSubResultant`3`x`(P,P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``715141
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`(_$)->S`cDoublyLinkedAggregate(S)``715843
olast`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``715958
olast`1`x`(_$)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``716089
olast`2`n`(A,NonNegativeInteger)->A`xLazyStreamAggregate&(A,S)``0
olast`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
olast`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)``716240
olatex`1`n`(A)->String`xFiniteGraph&(A,S)``0
olatex`1`n`(A)->String`xPoset&(A,S)``0
olatex`1`n`(S)->String`xSetCategory&(S)``0
olatex`1`x`(_$)->String`cSetCategory``716396
olatticeJoinOfMeets`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeJoinOfMeets``716480
olatticeMeetOfJoins`1`n`(Union(const:Record(val:Symbol),var:Record(str:String)))->_$`dLatticeMeetOfJoins``716524
olaurentIfCan`1`x`(_$)->Union(ULS,"failed")`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``716568
olaurentRep`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``716723
olaurent`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``716858
olaurent`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``717041
olaurent`1`x`(_$)->ULS`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``717111
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesCategory&(S,Coef)``0
olaurent`2`n`(Integer,Stream(Coef))->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`n`(Integer,UTS)->S`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
olaurent`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``717244
olaurent`2`x`(FE,Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``717359
olaurent`2`x`(Integer,Stream(Coef))->_$`cUnivariateLaurentSeriesCategory(Coef)``717604
olaurent`2`x`(Integer,UTS)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``717792
olaurent`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``717852
olaurent`3`x`(FE,Equation(FE),Integer)->Any`pExpressionToUnivariatePowerSeries(R,FE)``718051
olaurent`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``718225
olazy?`1`x`(_$)->Boolean`cLazyStreamAggregate(S)``718418
olazyEvaluate`1`x`(_$)->_$`cLazyStreamAggregate(S)``718586
olazyGintegrate`3`n`((Integer)->A,A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`718863
olazyIntegrate`2`n`(A,()->Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`718943
olazyIntegrate`2`n`(Coef,()->Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``719040
olazyIrreducibleFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`719149
olazyPquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``719587
olazyPquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``719727
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)``719877
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)``720021
olazyPrem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``720180
olazyPrem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPrem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``720405
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)``720689
olazyPseudoDivide`2`x`(_$,_$)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``720919
olazyPseudoDivide`3`n`(S,S,V)->Record(coef:S,gap:NonNegativeInteger,quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyPseudoDivide`3`x`(_$,_$,V)->Record(coef:_$,gap:NonNegativeInteger,quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``721128
olazyPseudoQuotient`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``721362
olazyPseudoRemainder`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``721489
olazyResidueClass`2`n`(S,S)->Record(polnum:S,polden:S,power:NonNegativeInteger)`xRecursivePolynomialCategory&(S,R,E,V)``0
olazyResidueClass`2`n`(_$,_$)->Record(polnum:_$,polden:R,power:NonNegativeInteger)`dNewSparseUnivariatePolynomial(R)``721729
olazyResidueClass`2`x`(_$,_$)->Record(polnum:_$,polden:_$,power:NonNegativeInteger)`cRecursivePolynomialCategory(R,E,V)``722018
olazyVariations`3`x`(List(TheField),Integer,Integer)->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`722257
olc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``722387
olcmCoef`2`n`(S,S)->Record(llcm_res:S,coeff1:S,coeff2:S)`xGcdDomain&(S)``0
olcmCoef`2`n`(_$,_$)->Record(llcm_res:_$,coeff1:_$,coeff2:_$)`cLeftOreRing``722425
olcm`1`n`(List(S))->S`xGcdDomain&(S)``0
olcm`1`x`(List(_$))->_$`cGcdDomain``722638
olcm`2`n`(S,S)->S`xGcdDomain&(S)``0
olcm`2`x`(_$,_$)->_$`cGcdDomain``722731
olcm`4`n`(PrimitiveArray(U32Vector),Integer,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``722817
olcx0`2`n`(SparseMultivariatePolynomial(Integer,Symbol),List(Symbol))->Record(lcx0lc:SparseMultivariatePolynomial(Integer,Symbol),lcx0m:SparseMultivariatePolynomial(Integer,Symbol))`pPrimGCD``722949
olcz`2`n`(SparseMultivariatePolynomial(Integer,Symbol),Symbol)->Record(lczlc:SparseMultivariatePolynomial(Integer,Symbol),k:Integer)`pPrimGCD``723217
oldegree`2`n`(PT,Symbol)->NonNegativeInteger`cModularEvaluationCategory(PT,MP)``723330
ole`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Boolean`xPoset&(A,S)``0
ole`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Boolean`cPreorder(S)``723611
oleader`1`n`(A)->V`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oleader`1`x`(_$)->V`cDifferentialPolynomialCategory(R,S,V,E)``723821
oleadingBasisTerm`1`n`(_$)->_$`dAntiSymm(R,lVar)``723995
oleadingBasisTerm`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``724098
oleadingCoefficientRicDE`1`n`(L)->List(Record(deg:NonNegativeInteger,eq:UP))`pPrimitiveRatRicDE(F,UP,L,LQ)``724196
oleadingCoefficient`1`n`(S)->Coef`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingCoefficient`1`n`(S)->R`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`1`n`(_$)->Expression(CoefRing)`dDeRhamComplex(CoefRing,listIndVar)``724554
oleadingCoefficient`1`n`(_$)->R`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``724655
oleadingCoefficient`1`n`(_$)->R`dAntiSymm(R,lVar)``724755
oleadingCoefficient`1`n`(_$)->R`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``724861
oleadingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``724911
oleadingCoefficient`1`x`(_$)->A`cIndexedDirectProductCategory(A,S)``724958
oleadingCoefficient`1`x`(_$)->Coef`cPowerSeriesCategory(Coef,Expon,Var)``725141
oleadingCoefficient`1`x`(_$)->R`cAbelianMonoidRing(R,E)``725238
oleadingCoefficient`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleadingCoefficient`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``725331
oleadingDer`1`n`(S)->JB`xJetBundleFunctionCategory&(S,JB)``0
oleadingDer`1`n`(_$)->JB`cJetBundleFunctionCategory(JB)``725484
oleadingExponent`1`n`(_$)->E`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``725619
oleadingIdeal`1`x`(_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``725666
oleadingIndex`1`n`(_$)->IS`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``725779
oleadingMonomial`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oleadingMonomial`1`n`(_$)->ModuleMonomial(IS,E,ff)`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``725823
oleadingMonomial`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``725870
oleadingMonomial`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``725961
oleadingMonomial`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``726052
oleadingMonomial`1`x`(_$)->_$`cPowerSeriesCategory(Coef,Expon,Var)``726187
oleadingSupport`1`x`(_$)->S`cIndexedDirectProductCategory(A,S)``726270
oleadingTerm`1`x`(_$)->Record(k:S,c:A)`cIndexedDirectProductCategory(A,S)``726439
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`(_$)->Boolean`dSubSpace(n,R)``726592
oleaf?`1`x`(_$)->Boolean`cRecursiveAggregate(S)``726629
oleastAffineMultiple`1`n`(SparseUnivariatePolynomial(GF))->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``726690
oleastMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oleastMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``726945
oleastPower`2`n`(NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pIntegralBasisTools(R,UP,F)``727219
oleaves`1`n`(A)->List(S)`xBinaryRecursiveAggregate&(A,S)``0
oleaves`1`x`(_$)->List(S)`cRecursiveAggregate(S)``727338
oleftAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``727464
oleftAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``727690
oleftCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``727916
oleftDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``728074
oleftDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``728444
oleftDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
oleftDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``728814
oleftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`729127
oleftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`729335
oleftExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`729590
oleftExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`729717
oleftFactorIfCan`2`x`(UP,UP)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``729838
oleftGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`730078
oleftLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`730317
oleftMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`730519
oleftMult`2`n`(S,_$)->_$`dListMonoidOps(S,E,un)``730753
oleftNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``730881
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`730979
oleftOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`731036
oleftPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
oleftPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
oleftPower`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``731093
oleftPower`2`x`(_$,PositiveInteger)->_$`cMagma``731287
oleftQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`731481
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`731675
oleftRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``731771
oleftRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`732010
oleftRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``732249
oleftRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`732415
oleftRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``732635
oleftRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``732824
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
oleftRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``732996
oleftRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oleftRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`733300
oleftScalarTimes!`3`n`(Matrix(R),R,Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``733495
oleftTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``733691
oleftTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``733975
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``734259
oleftTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
oleftTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``734473
oleftTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
oleftTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``734566
oleftTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`734746
oleftUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
oleftUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`734914
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)``735039
oleftUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`735162
oleftZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`735286
oleft`1`n`(_$)->_$`dFreeMagma(VarSet)``735343
oleft`1`n`(_$)->_$`dLyndonWord(VarSet)``735473
oleft`1`n`(_$)->_$`dOutputForm``735604
oleft`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``735671
oleft`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``735744
oleft`2`n`(_$,Integer)->_$`dOutputForm``735790
olegendreP`2`x`(NonNegativeInteger,R)->R`pOrthogonalPolynomialFunctions(R)`has(R,Algebra(Fraction(Integer)))`735878
olegendreP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``736047
olegendreP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``736120
olegendreQ`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``736194
olegendreQ`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``736267
olegendre`1`n`(Integer)->SparseUnivariatePolynomial(Fraction(Integer))`pPolynomialNumberTheoryFunctions``736341
olegendre`2`x`(Integer,Integer)->Integer`pIntegerNumberTheoryFunctions``736617
olength`1`n`(S)->R`xVectorCategory&(S,R)``0
olength`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``736973
olength`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``737084
olength`1`n`(_$)->NonNegativeInteger`dPoincareBirkhoffWittLyndonBasis(VarSet)``737140
olength`1`n`(_$)->PositiveInteger`dFreeMagma(VarSet)``737232
olength`1`n`(_$)->PositiveInteger`dLyndonWord(VarSet)``737299
olength`1`x`(_$)->R`cVectorCategory(R)`AND(has(R,RadicalCategory),has(R,Ring))`737366
olength`1`x`(_$)->_$`cIntegerNumberSystem``737477
olepol`1`n`(Dpol)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``737531
olerchPhi`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``737565
olerchPhi`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``737627
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)``737690
oless?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``737794
oless?`3`n`(S,S,(S,S)->Boolean)->Boolean`pUserDefinedPartialOrdering(S)``737873
olevel`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``738077
oleviCivitaSymbol`0`x`()->_$`dCartesianTensor(minix,dim,R)``738214
olexGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``738448
olexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``738637
olex`1`n`(List(List(S)))->List(List(S))`pTableauxBumpers(S)``739024
olexico`2`n`(_$,_$)->Boolean`dFreeMagma(VarSet)``739091
olexico`2`n`(_$,_$)->Boolean`dFreeMonoid(S)`has(S,OrderedSet)`739394
olexico`2`n`(_$,_$)->Boolean`dLyndonWord(VarSet)``739564
olfextendedint`3`n`(F,Symbol,F)->Union(Record(ratpart:F,coeff:F),"failed")`pElementaryIntegration(R,F)``739734
olfintegrate`2`n`(F,Symbol)->IntegrationResult(F)`pElementaryIntegration(R,F)``739899
olfunc`2`x`(Integer,Integer)->Integer`pHallBasis``739972
olhs`1`n`(_$)->S1`dSuchThat(S1,S2)``740199
olhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``740254
olhs`1`x`(_$)->S`dEquation(S)``740324
oli2`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``740398
oli_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``740445
oli`1`n`(F)->F`pLiouvillianFunction(R,F)``740512
oli`1`x`(Complex(Float))->Complex(Float)`pFloatLiouvilianFunctions``740572
oli`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions2``0
oli`1`x`(Float)->Float`pFloatLiouvilianFunctions``740632
oli`1`x`(_$)->_$`cLiouvillianFunctionCategory``740692
olibrary`1`x`(FileName)->_$`dLibrary``740821
olieAdmissible?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``740875
olieAdmissible?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``741082
olieAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``741289
olieAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``741619
olie`2`n`(JetVectorField(JB,D),_$)->_$`dJetDifferential(JB,D)``741949
olie`2`n`(_$,_$)->_$`dJetVectorField(JB,D)``742045
olift`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
olift`1`n`(_$)->FPol`dResidueRing(F,Expon,VarSet,FPol,LFPol)``742183
olift`1`n`(_$)->Rep`dModMonic(R,Rep)``742275
olift`1`x`(_$)->UP`cMonogenicAlgebra(R,UP)``742311
olift`2`n`(SparseUnivariatePolynomial(F),Kernel(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``742413
olift`7`n`(SparseUnivariatePolynomial(P),SparseUnivariatePolynomial(R),SparseUnivariatePolynomial(R),P,List(OV),List(NonNegativeInteger),List(R))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateSquareFree(E,OV,R,P)``742454
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),(List(SparseUnivariatePolynomial(R)))->(SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed"))->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)``742489
olifting`7`n`(SparseUnivariatePolynomial(P),List(OV),List(SparseUnivariatePolynomial(R)),List(R),List(P),List(NonNegativeInteger),R)->Union(List(SparseUnivariatePolynomial(P)),"failed")`pMultivariateLifting(E,OV,R,P)`has(R,EuclideanDomain)`743027
olight`1`x`(Color)->_$`dPalette``743340
olighting`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``743432
olimitPart`1`n`(_$)->_$`dSmallOrdinal``743702
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dExponentialExpansion(R,FE,var,cen)``743846
olimitPlus`1`n`(_$)->Union(OrderedCompletion(FE),"failed")`dUnivariatePuiseuxSeriesWithExponentialSingularity(R,FE,var,cen)``743921
olimit`2`n`(_$,NonNegativeInteger)->Loop`dFunctionGraph(S)``743998
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)``744139
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)``744226
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)``744353
olimit`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Loop`dMultifunctionGraph(S)``744480
olimit`3`x`(FE,Equation(FE),String)->Union(OrderedCompletion(FE),"failed")`pPowerSeriesLimitPackage(R,FE)``744621
olimit`3`x`(Fraction(Polynomial(R)),Equation(Fraction(Polynomial(R))),String)->Union(OrderedCompletion(Fraction(Polynomial(R))),"failed")`pRationalFunctionLimitPackage(R)``744824
olinGenPos`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->Record(gblist:List(DistributedMultivariatePolynomial(lv,F)),gvlist:List(Integer))`pLinGroebnerPackage(lv,F)``745095
olinSolve`2`x`(List(P),List(OV))->Record(particular:Union(Vector(Fraction(P)),"failed"),basis:List(Vector(Fraction(P))))`pLinearSystemPolynomialPackage(R,E,OV,P)``745133
olin_comb!`3`n`(Vector(F),Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``745280
olin_comb`2`n`(Vector(F),List(F))->F`pLinearCombinationUtilities(F,UP)``745543
olin_comb`2`n`(Vector(F),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``745758
olin_comb`2`n`(Vector(F),List(LaurentPolynomial(F,UP)))->LaurentPolynomial(F,UP)`pLinearCombinationUtilities(F,UP)``745973
olin_comb`2`n`(Vector(F),List(UP))->UP`pLinearCombinationUtilities(F,UP)``746188
olin_comb`2`n`(Vector(F),List(Vector(F)))->Vector(F)`pLinearCombinationUtilities(F,UP)``746403
olin_comb`2`n`(Vector(Fraction(Integer)),List(F))->F`pLinearCombinationUtilities(F,UP)``746627
olin_comb`2`n`(Vector(Fraction(Integer)),List(Fraction(UP)))->Fraction(UP)`pLinearCombinationUtilities(F,UP)``746842
olin_sol`2`n`(List(F),List(Symbol))->Union(List(F),"failed")`pExpressionLinearSolve(R,F)``747057
olineColorDefault`0`x`()->Palette`pViewDefaultsPackage``747210
olineColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``747314
olineIntersect`2`n`(_$,PT)->PT`dSBoundary(PT)``747440
oline`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``747701
olinear?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``747755
olinearAssociatedExp`2`n`(S,SparseUnivariatePolynomial(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedExp`2`x`(_$,SparseUnivariatePolynomial(F))->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`747882
olinearAssociatedLog`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`748567
olinearAssociatedLog`2`n`(S,S)->Union(SparseUnivariatePolynomial(F),"failed")`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedLog`2`x`(_$,_$)->Union(SparseUnivariatePolynomial(F),"failed")`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`748721
olinearAssociatedOrder`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
olinearAssociatedOrder`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`748961
olinearDependenceOverConstants`2`n`(Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``749117
olinearDependenceOverZ`1`x`(Vector(R))->Union(Vector(Integer),"failed")`pIntegerLinearDependence(R)``749375
olinearDependence`1`n`(Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)``749622
olinearExtend`2`n`((List(B))->M2,TensorPower(n,R,B,M1))->M2`pTensorPowerFunctions2(n,R,B,M1,M2)``749858
olinearExtend`2`x`((S)->M2,M1)->M2`pFreeModuleFunctions2(R,S,M1,M2)``750011
olinearExtend`2`x`((S)->R,_$)->R`cFreeModuleCategory(R,S)`has(R,CommutativeRing)`750152
olinearPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``750280
olinearSearch`2`n`(S,(S)->Boolean)->Union(S,"failed")`pSortedCache(S)``750448
olinear`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``750687
olinear`2`n`(F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``750725
olinearize`1`n`(List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta))))->List(JetBundleLinearFunction(JetBundleSymAna(JB1,xi,eta),JetBundleXExpression(JetBundleSymAna(JB1,xi,eta))))`pSymmetryAnalysis(JB1,xi,eta)``750768
olinearlyDependent?`1`n`(Vector(R))->Boolean`pLinearDependence(S,R)``750903
olinearlyDependentOverConstants?`2`n`(Vector(F),List((F)->F))->Boolean`pConstantLinearDependence(R,F)``751065
olinearlyDependentOverZ?`1`x`(Vector(R))->Boolean`pIntegerLinearDependence(R)``751247
olinkToFortran`4`n`(Symbol,List(Symbol),TheSymbolTable,List(Symbol))->SExpression`pFortranPackage``751418
olinkToFortran`4`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol))->SExpression`pFortranPackage``751481
olinkToFortran`5`n`(Symbol,List(Union(array:List(Symbol),scalar:Symbol)),List(List(Union(array:List(Symbol),scalar:Symbol))),List(Symbol),Symbol)->SExpression`pFortranPackage``751545
olink`2`n`(NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``751614
olink`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``751655
olink`2`n`(_$,_$)->List(PT)`dSBoundary(PT)``751784
olintgcd`1`n`(List(Integer))->Integer`pHeuGcd(BP)``752028
olist?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``752103
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottablePlaneCurveCategory``752184
olistBranches`1`x`(_$)->List(List(Point(DoubleFloat)))`cPlottableSpaceCurveCategory``752300
olistConjugateBases`3`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),NonNegativeInteger,NonNegativeInteger)->List(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))`pChineseRemainderToolsForIntegralBases(K,R,UP)``752416
olistLoops`1`n`(_$)->List(List(Point(DoubleFloat)))`dTubePlot(Curve)``752668
olistOfLists`1`n`(S)->List(List(R))`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
olistOfLists`1`x`(_$)->List(List(R))`cRectangularMatrixCategory(m,n,R,Row,Col)``752785
olistOfLists`1`x`(_$)->List(List(R))`cTwoDimensionalArrayCategory(R,Row,Col)``752874
olistOfLists`1`x`(_$)->List(List(S))`dTableau(S)``752962
olistOfMonoms`1`n`(_$)->List(Record(gen:S,exp:E))`dListMonoidOps(S,E,un)``753038
olistOfTerms`1`n`(_$)->List(LyndonWord(VarSet))`dPoincareBirkhoffWittLyndonBasis(VarSet)``753120
olistOfTerms`1`n`(_$)->List(Record(k:PoincareBirkhoffWittLyndonBasis(VarSet),c:R))`dLieExponentials(VarSet,R,Order)``753219
olistOfTerms`1`x`(_$)->List(Record(k:S,c:A))`cIndexedDirectProductCategory(A,S)``753297
olistRepresentation`1`x`(_$)->Record(preimage:List(S),image:List(S))`dPermutation(S)``753452
olistYoungTableaus`1`x`(List(Integer))->List(Matrix(Integer))`pSymmetricGroupCombinatoricFunctions``753820
olist`1`n`(S)->A`xListAggregate&(A,S)``0
olist`1`x`(S)->_$`cListAggregate(S)``754299
olists`1`n`(_$)->PatternMatchResult(R,L)`dPatternMatchListResult(R,S,L)``754363
olllip`1`x`(_$)->List(List(List(NonNegativeInteger)))`cThreeSpaceCategory(R)``754432
olllp`1`x`(_$)->List(List(List(Point(R))))`cThreeSpaceCategory(R)``754702
ollprop`1`x`(_$)->List(List(SubSpaceComponentProperty))`cThreeSpaceCategory(R)``754960
olo`1`x`(_$)->S`cSegmentCategory(S)``755216
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToExponentialExpansion(R,FE,x,cen)``755303
olocalAbs`1`n`(FE)->FE`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``755504
olocalIntegralBasis`1`n`(Integer)->Record(basis:Matrix(Integer),basisDen:Integer,basisInv:Matrix(Integer))`pNumberFieldIntegralBasis(UP,F)``755705
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pFunctionFieldIntegralBasis(R,UP,F)``756612
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``757525
olocalIntegralBasis`1`n`(R)->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pWildFunctionFieldIntegralBasis(K,R,UP,F)``758430
olocalReal?`1`n`(F)->Boolean`pElementaryFunction(R,F)``759343
olocalUnquote`2`n`(F,List(Symbol))->F`pApplyRules(Base,R,F)``759403
olog10`0`x`()->_$`dFloat``759460
olog10`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``759528
olog10`1`x`(_$)->_$`dDoubleFloat``759606
olog10`1`x`(_$)->_$`dFloat``759679
olog1`1`n`(Stream(Coef))->Stream(Coef)`pStreamExponentialSeriesOperations(Coef)``759750
olog2`0`x`()->_$`dFloat``759956
olog2`1`x`(_$)->_$`dDoubleFloat``760042
olog2`1`x`(_$)->_$`dFloat``760113
ologDependenceQ`2`n`(List(Fraction(Integer)),Fraction(Integer))->Union(Vector(Fraction(Integer)),"failed")`pMultiplicativeDependence``760182
ologGamma`1`x`(Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``760343
ologGamma`1`x`(Complex(Float))->Complex(Float)`pFloatSpecialFunctions``760467
ologGamma`1`x`(DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``760532
ologGamma`1`x`(Float)->Float`pFloatSpecialFunctions``760656
ologIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``760721
olog`1`n`(F)->F`pElementaryFunction(R,F)``760808
olog`1`n`(Factored(M))->List(Record(coef:NonNegativeInteger,logand:M))`pFactoredFunctions(M)``760872
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)`pStreamExponentialSeriesTranscendentalFunctions(Coef)``0
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``761028
olog`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``761086
olog`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``761144
olog`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``761215
olog`1`n`(_$)->LiePolynomial(VarSet,R)`dLieExponentials(VarSet,R,Order)``761288
olog`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``761344
olog`1`x`(_$)->_$`cElementaryFunctionCategory``761411
olog`2`n`(XPOLY,NonNegativeInteger)->XPOLY`pXExponentialPackage(R,VarSet,XPOLY)``761654
olog`2`n`(_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)`has(R,Module(Fraction(Integer)))`761743
ologextint`3`n`(Symbol,List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer))))`pParametricIntegration(R,F)``761837
ologextint`5`n`((UP)->UP,(UP)->Factored(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(UP))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer)))),List(Fraction(UP)))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``762036
ologicF`0`n`()->_$`dILogic``762284
ologicF`0`n`()->_$`dLatticeJoinOfMeets``762343
ologicF`0`n`()->_$`dLatticeMeetOfJoins``762410
ologicT`0`n`()->_$`dILogic``762477
ologicT`0`n`()->_$`dLatticeJoinOfMeets``762519
ologicT`0`n`()->_$`dLatticeMeetOfJoins``762562
ological?`1`n`(_$)->Boolean`dFortranScalarType``762605
ologpart`1`n`(_$)->List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F)))`dIntegrationResult(F)``762697
olommelS1`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``762777
olommelS1`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``762847
olommelS2`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``762918
olommelS2`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``762988
olookup`1`n`(A)->PositiveInteger`xFiniteSetAggregate&(A,S)``0
olookup`1`n`(S)->PositiveInteger`xDirectProductCategory&(S,dim,R)``0
olookup`1`n`(S)->PositiveInteger`xFramedModule&(S,R)``0
olookup`1`n`(S)->PositiveInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
olookup`1`n`(Vector(GF))->PositiveInteger`pInnerNormalBasisFieldFunctions(GF)``763059
olookup`1`x`(_$)->PositiveInteger`cFinite``763132
oloopPoints`5`n`(Point(DoubleFloat),Point(DoubleFloat),Point(DoubleFloat),DoubleFloat,List(List(DoubleFloat)))->List(Point(DoubleFloat))`pTubePlotTools``763220
oloop`1`n`(List(NonNegativeInteger))->_$`dLoop``763706
oloopsArrows`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsArrows`1`n`(_$)->List(Loop)`cFiniteGraph(S)``763783
oloopsAtNode`2`n`(A,NonNegativeInteger)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsAtNode`2`n`(_$,NonNegativeInteger)->List(Loop)`cFiniteGraph(S)``764142
oloopsNodes`1`n`(A)->List(Loop)`xFiniteGraph&(A,S)``0
oloopsNodes`1`n`(_$)->List(Loop)`cFiniteGraph(S)``764250
olooseEquals`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
olooseEquals`2`n`(A,A)->Boolean`xPoset&(A,S)``0
olooseEquals`2`n`(_$,_$)->Boolean`cFiniteGraph(S)``764410
olow`1`x`(_$)->S`cSegmentCategory(S)``764806
olowerCase!`1`x`(_$)->_$`cStringAggregate``764895
olowerCase?`1`x`(_$)->Boolean`dCharacter``764999
olowerCase`0`x`()->_$`dCharacterClass``765110
olowerCase`1`n`(S)->S`xStringAggregate&(S)``0
olowerCase`1`x`(_$)->_$`cStringAggregate``765234
olowerCase`1`x`(_$)->_$`dCharacter``765315
olowerPolynomial`1`n`(SparseUnivariatePolynomial(P))->SparseUnivariatePolynomial(R)`pFactoringUtilities(E,OV,R,P)``765486
olowerSet`1`n`(_$)->_$`cPoset(S)``765638
olp`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``765780
olprop`1`x`(_$)->List(SubSpaceComponentProperty)`cThreeSpaceCategory(R)``766076
olquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``766278
olquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``766362
olquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``766556
olquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``766640
olquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``766733
olquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``766817
olub`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
olub`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``766914
olyndon?`1`n`(FreeMonoid(VarSet))->Boolean`dLyndonWord(VarSet)``767125
olyndonIfCan`1`n`(FreeMonoid(VarSet))->Union(_$,"failed")`dLyndonWord(VarSet)``767185
olyndon`1`n`(FreeMonoid(VarSet))->_$`dLyndonWord(VarSet)``767251
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`cJetBundleCategory``767354
om2r`1`n`(List(NonNegativeInteger))->List(PositiveInteger)`xJetBundleCategory&(S)``767425
om_inverse`4`n`(Polynomial(Integer),List(Polynomial(Integer)),List(Symbol),Integer)->Union(Polynomial(Integer),"failed")`dModularAlgebraicGcdTools3``767496
omainCharacterization`1`x`(_$)->Union(RightOpenIntervalRootCharacterization(_$,SparseUnivariatePolynomial(_$)),"failed")`dRealClosure(TheField)``767613
omainCoefficients`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainCoefficients`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``767707
omainContent`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainContent`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`767988
omainDefiningPolynomial`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``768197
omainForm`1`x`(_$)->Union(OutputForm,"failed")`cRealClosedField``768308
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
omainKernel`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
omainKernel`1`x`(_$)->Union(Kernel(_$),"failed")`cExpressionSpace``768382
omainMonomial`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomial`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``768552
omainMonomials`1`n`(S)->List(S)`xRecursivePolynomialCategory&(S,R,E,V)``0
omainMonomials`1`x`(_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)``768755
omainPrimitivePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainPrimitivePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`769023
omainSquareFreePart`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omainSquareFreePart`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`769245
omainValue`1`x`(_$)->Union(SparseUnivariatePolynomial(_$),"failed")`cRealClosedField``769470
omainVariable?`2`n`(VarSet,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariable?`2`x`(VarSet,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``769577
omainVariableOf`1`n`(_$)->Symbol`dCell(TheField)``769701
omainVariable`1`n`(F)->Union(V,"failed")`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``769767
omainVariable`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
omainVariable`1`n`(_$)->Union(VarSet,"failed")`cMaybeSkewPolynomialCategory(R,E,VarSet)``769926
omainVariable`1`x`(Fraction(Polynomial(R)))->Union(Symbol,"failed")`pRationalFunction(R)``770126
omainVariables`1`n`(S)->List(VarSet)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
omainVariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``770285
omakeCell`1`n`(List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField))))->_$`dCell(TheField)``770429
omakeCell`2`n`(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)),_$)->_$`dCell(TheField)``770507
omakeCos`2`x`(E,R)->_$`dFourierSeries(R,E)``770633
omakeCrit`3`n`(Record(totdeg:NonNegativeInteger,pol:Dpol),Dpol,NonNegativeInteger)->Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``770722
omakeDisjoint`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``770759
omakeEq`2`n`(List(F),List(Symbol))->List(Equation(Polynomial(F)))`pInnerNumericFloatSolvePackage(K,F,Par)``770885
omakeFEq`6`n`(BasicOperator,Symbol,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``771005
omakeFR`1`n`(Record(contp:Integer,factors:List(Record(irr:UP,pow:Integer))))->Factored(UP)`pGaloisGroupFactorizer(UP)``771324
omakeFR`2`x`(R,List(Record(flg:Union("nil","sqfr","irred","prime"),fctr:R,xpnt:Integer)))->_$`dFactored(R)``771431
omakeFloatFunction`2`x`(S,Symbol)->(DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``771530
omakeFloatFunction`3`x`(S,Symbol,Symbol)->(DoubleFloat,DoubleFloat)->DoubleFloat`pMakeFloatCompiledFunction(S)``771792
omakeGraphImage`1`n`(List(List(Point(DoubleFloat))))->_$`dGraphImage``772127
omakeGraphImage`4`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger))->_$`dGraphImage``772365
omakeGraphImage`5`n`(List(List(Point(DoubleFloat))),List(Palette),List(Palette),List(PositiveInteger),List(DrawOption))->_$`dGraphImage``772832
omakeMulti`1`n`(List(Record(gen:S,exp:E)))->_$`dListMonoidOps(S,E,un)``773362
omakeObject`2`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773446
omakeObject`2`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``773730
omakeObject`2`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``774014
omakeObject`3`x`((DoubleFloat)->DoubleFloat,Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``774335
omakeObject`3`x`((DoubleFloat)->Point(DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``774567
omakeObject`3`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``774920
omakeObject`3`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``775197
omakeObject`3`x`(Ex,SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``775498
omakeObject`3`x`(Ex,SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``775757
omakeObject`3`x`(ParametricPlaneCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForCompiledFunctions``776097
omakeObject`3`x`(ParametricPlaneCurve(Ex),SegmentBinding(Float),List(DrawOption))->GraphImage`pTopLevelDrawFunctions(Ex)``776374
omakeObject`3`x`(ParametricSpaceCurve((DoubleFloat)->DoubleFloat),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``776661
omakeObject`3`x`(ParametricSpaceCurve(Ex),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``777024
omakeObject`3`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``777454
omakeObject`3`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``777836
omakeObject`4`x`((DoubleFloat,DoubleFloat)->DoubleFloat,Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``778279
omakeObject`4`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``778665
omakeObject`4`x`(Equation(Ex),Symbol,Symbol,List(DrawOption))->GraphImage`pTopLevelDrawFunctionsForAlgebraicCurves(R,Ex)``779064
omakeObject`4`x`(Ex,SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``779275
omakeObject`4`x`(ParametricSurface((DoubleFloat,DoubleFloat)->DoubleFloat),Segment(Float),Segment(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``779716
omakeObject`4`x`(ParametricSurface(Ex),SegmentBinding(Float),SegmentBinding(Float),List(DrawOption))->ThreeSpace(DoubleFloat)`pTopLevelDrawFunctions(Ex)``780186
omakeRec`5`n`(BasicOperator,Symbol,F,List(F),Stream(F))->F`pRecurrenceOperator(R,F)``780728
omakeRecord`2`x`(S,T)->Record(part1:S,part2:T)`pMakeRecord(S,T)``781239
omakeResult`2`n`(PatternMatchResult(R,S),PatternMatchResult(R,L))->_$`dPatternMatchListResult(R,S,L)``781429
omakeSUP`1`n`(S)->SparseUnivariatePolynomial(R)`xUnivariatePolynomialCategory&(S,R)``0
omakeSUP`1`x`(_$)->SparseUnivariatePolynomial(R)`cUnivariatePolynomialCategory(R)``781516
omakeSeries`2`n`(Reference(OrderedCompletion(Integer)),Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``781643
omakeSin`2`x`(E,R)->_$`dFourierSeries(R,E)``781764
omakeSketch`5`n`(Polynomial(Integer),Symbol,Symbol,Segment(Fraction(Integer)),Segment(Fraction(Integer)))->_$`dPlaneAlgebraicCurvePlot``781853
omakeSystem`1`n`(List(D))->_$`dJetDifferentialEquation(JB,D)``782774
omakeTerm`2`n`(S,E)->_$`dListMonoidOps(S,E,un)``782851
omakeUnit`0`n`()->_$`dListMonoidOps(S,E,un)``782986
omakeVariable`1`n`(A)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`n`(S)->(NonNegativeInteger)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
omakeVariable`1`x`(S)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)``783053
omakeVariable`1`x`(_$)->(NonNegativeInteger)->_$`cDifferentialPolynomialCategory(R,S,V,E)`has(R,DifferentialRing)`783376
omakeVariable`2`x`(S,NonNegativeInteger)->_$`cDifferentialVariableCategory(S)``783704
omakeViewport2D`1`n`(_$)->_$`dTwoDimensionalViewport``783846
omakeViewport2D`2`n`(GraphImage,List(DrawOption))->_$`dTwoDimensionalViewport``784068
omakeViewport3D`1`x`(_$)->_$`dThreeDimensionalViewport``784418
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),List(DrawOption))->_$`dThreeDimensionalViewport``784644
omakeViewport3D`2`x`(ThreeSpace(DoubleFloat),String)->_$`dThreeDimensionalViewport``784980
omakeYoungTableau`2`x`(List(Integer),List(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``785225
omakeop`2`n`(R,FreeGroup(BasicOperator))->_$`dOperator(R)``0
omakeop`2`x`(R,FreeGroup(BasicOperator))->_$`dModuleOperator(R,M)``785509
omakingStats?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``785562
omantissa`1`n`(_$)->Integer`dMachineFloat``785650
omantissa`1`x`(_$)->Integer`cFloatingPointSystem``785709
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`xUnaryRecursiveAggregate&(A,S)``0
omap!`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``785774
omap!`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)`has(_$,shallowlyMutable)`785870
omapBivariate`2`n`((K)->L,UP)->SparseUnivariatePolynomial(SparseUnivariatePolynomial(L))`pIntegralBasisPolynomialTools(K,R,UP,L)``785970
omapCoef`2`x`((E)->E,_$)->_$`cFreeAbelianMonoidCategory(S,E)``786084
omapContra`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omapContra`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``786170
omapDown!`3`x`(_$,S,(S,S)->S)->_$`dBalancedBinaryTree(S)``786302
omapDown!`3`x`(_$,S,(S,S,S)->List(S))->_$`dBalancedBinaryTree(S)``786746
omapExpon`2`n`((E)->E,_$)->_$`dListMonoidOps(S,E,un)``787354
omapExpon`2`n`((Integer)->Integer,_$)->_$`dFreeGroup(S)``787441
omapExpon`2`n`((NonNegativeInteger)->NonNegativeInteger,_$)->_$`dFreeMonoid(S)``787528
omapExponents`2`n`((E)->E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
omapExponents`2`x`((E)->E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``787615
omapGen`2`n`((S)->S,_$)->_$`dFreeGroup(S)``787744
omapGen`2`n`((S)->S,_$)->_$`dFreeMonoid(S)``787829
omapGen`2`n`((S)->S,_$)->_$`dListMonoidOps(S,E,un)``787914
omapGen`2`x`((S)->S,_$)->_$`cFreeAbelianMonoidCategory(S,E)``787999
omapMatrixIfCan`2`n`((L)->Union(K,"failed"),Matrix(SparseUnivariatePolynomial(L)))->Union(Matrix(R),"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``788084
omapSolve`2`n`(UP,(F)->F)->Record(solns:List(F),maps:List(Record(arg:F,res:F)))`pPolynomialSolveByFormulas(UP,F)``788256
omapUnivariateIfCan`2`n`((L)->Union(K,"failed"),SparseUnivariatePolynomial(L))->Union(R,"failed")`pIntegralBasisPolynomialTools(K,R,UP,L)``788301
omapUnivariate`2`n`((K)->L,R)->SparseUnivariatePolynomial(L)`pIntegralBasisPolynomialTools(K,R,UP,L)``788467
omapUnivariate`2`n`((L)->K,SparseUnivariatePolynomial(L))->R`pIntegralBasisPolynomialTools(K,R,UP,L)``788572
omapUp!`2`x`(_$,(S,S)->S)->S`dBalancedBinaryTree(S)``788677
omapUp!`3`x`(_$,_$,(S,S,S,S)->S)->_$`dBalancedBinaryTree(S)``789002
omap`2`n`((A)->B,MA)->MB`pTwoDimensionalArrayFunctions(A,RA,CA,MA,B,RB,CB,MB)``789487
omap`2`n`((Entry)->Entry,S)->S`xIndexedAggregate&(S,Index,Entry)``0
omap`2`n`((Entry)->Entry,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Expression(CoefRing))->Expression(CoefRing),_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``789627
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),Record(var:Symbol,coef:SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))))->_$`dFakePolynomial``0
omap`2`n`((Polynomial(Integer))->Polynomial(Integer),_$)->_$`dFakePolynomial``0
omap`2`n`((Polynomial(R))->PPR,PPR)->PPR`pPushVariables(R,E,OV,PPR)``789736
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)``789778
omap`2`n`((R)->R,_$)->_$`dXPolynomialRing(R,E)``789873
omap`2`n`((R)->S,NewSparseUnivariatePolynomial(R))->NewSparseUnivariatePolynomial(S)`pNewSparseUnivariatePolynomialFunctions2(R,S)``789972
omap`2`n`((R1)->R2,A1)->A2`pFiniteAbelianMonoidRingFunctions2(E,R1,A1,R2,A2)``790107
omap`2`n`((R1)->R2,UPUP1)->UPUP2`pMultipleMap(R1,UP1,UPUP1,R2,UP2,UPUP2)``790231
omap`2`n`((Record(key:Key,entry:Entry))->Record(key:Key,entry:Entry),S)->S`xTableAggregate&(S,Key,Entry)``0
omap`2`n`((Record(numer:Polynomial(Integer),denom:Polynomial(Integer)))->Union(Polynomial(Integer),"failed"),_$)->Union(SparseUnivariatePolynomial(Polynomial(Integer)),"failed")`dFakePolynomial``0
omap`2`n`((S)->S,A)->A`xBinaryTreeCategory&(A,S)``0
omap`2`n`((S)->S,A)->A`xListAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omap`2`n`((S)->S,A)->A`xQuotientFieldCategory&(A,S)``0
omap`2`n`((S)->S,Kernel(S))->S`xExpressionSpace&(S)``0
omap`2`n`((Vars1)->Vars2,PR1)->PR2`pMPolyCatFunctions3(Vars1,Vars2,E1,E2,R,PR1,PR2)``790327
omap`2`x`((A)->A,_$)->_$`cIndexedDirectProductCategory(A,S)``790367
omap`2`x`((A)->B,DirectProduct(dim,A))->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``790517
omap`2`x`((A)->B,Fraction(A))->Fraction(B)`pFractionFunctions2(A,B)``790659
omap`2`x`((A)->B,InfiniteTuple(A))->InfiniteTuple(B)`pInfiniteTupleFunctions2(A,B)``790779
omap`2`x`((A)->B,List(A))->List(B)`pListFunctions2(A,B)``790875
omap`2`x`((A)->B,OneDimensionalArray(A))->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``791059
omap`2`x`((A)->B,PatternMatchResult(R,A))->PatternMatchResult(R,B)`pPatternMatchResultFunctions2(R,A,B)``791246
omap`2`x`((A)->B,PrimitiveArray(A))->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``791408
omap`2`x`((A)->B,R)->S`pQuotientFieldCategoryFunctions2(A,B,R,S)``791583
omap`2`x`((A)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``791690
omap`2`x`((A)->B,Vector(A))->Vector(B)`pVectorFunctions2(A,B)``791907
omap`2`x`((A)->Union(B,"failed"),Vector(A))->Union(Vector(B),"failed")`pVectorFunctions2(A,B)``792049
omap`2`x`((CF1)->CF2,ParametricPlaneCurve(CF1))->ParametricPlaneCurve(CF2)`pParametricPlaneCurveFunctions2(CF1,CF2)``792210
omap`2`x`((CF1)->CF2,ParametricSpaceCurve(CF1))->ParametricSpaceCurve(CF2)`pParametricSpaceCurveFunctions2(CF1,CF2)``792250
omap`2`x`((CF1)->CF2,ParametricSurface(CF1))->ParametricSurface(CF2)`pParametricSurfaceFunctions2(CF1,CF2)``792290
omap`2`x`((Coef1)->Coef2,UTS1)->UTS2`pUnivariateTaylorSeriesFunctions2(Coef1,Coef2,UTS1,UTS2)``792330
omap`2`x`((Coef1)->Coef2,UnivariateLaurentSeries(Coef1,var1,cen1))->UnivariateLaurentSeries(Coef2,var2,cen2)`pUnivariateLaurentSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``792452
omap`2`x`((Coef1)->Coef2,UnivariatePuiseuxSeries(Coef1,var1,cen1))->UnivariatePuiseuxSeries(Coef2,var2,cen2)`pUnivariatePuiseuxSeriesFunctions2(Coef1,Coef2,var1,var2,cen1,cen2)``792561
omap`2`x`((E)->F,IntegrationResult(E))->IntegrationResult(F)`pIntegrationResultFunctions2(E,F)``792670
omap`2`x`((E)->F,Kernel(E))->F`pExpressionSpaceFunctions2(E,F)``792712
omap`2`x`((E)->F,Union(E,"failed"))->Union(F,"failed")`pIntegrationResultFunctions2(E,F)``792821
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)``792862
omap`2`x`((E)->F,Union(Record(ratpart:E,coeff:E),"failed"))->Union(Record(ratpart:F,coeff:F),"failed")`pIntegrationResultFunctions2(E,F)``792904
omap`2`x`((R)->R,_$)->_$`cAbelianMonoidRing(R,E)``792946
omap`2`x`((R)->R,_$)->_$`cFullyEvalableOver(R)``793058
omap`2`x`((R)->R,_$)->_$`cMonoidRingCategory(R,M)``793153
omap`2`x`((R)->R,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``793265
omap`2`x`((R)->R,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``793376
omap`2`x`((R)->R,_$)->_$`cXFreeAlgebra(vl,R)``793482
omap`2`x`((R)->R,_$)->_$`dFactored(R)``793581
omap`2`x`((R)->S,A)->B`pFunctionSpaceFunctions2(R,A,S,B)``793858
omap`2`x`((R)->S,AR)->AS`pFramedNonAssociativeAlgebraFunctions2(AR,R,AS,S)``793957
omap`2`x`((R)->S,Complex(R))->Complex(S)`pComplexFunctions2(R,S)``794151
omap`2`x`((R)->S,Expression(R))->Expression(S)`pExpressionFunctions2(R,S)``794234
omap`2`x`((R)->S,Factored(R))->Factored(S)`pFactoredFunctions2(R,S)``794321
omap`2`x`((R)->S,MonoidRing(R,M))->MonoidRing(S,M)`pMonoidRingFunctions2(R,S,M)``794596
omap`2`x`((R)->S,OR)->OS`pOctonionCategoryFunctions2(OR,R,OS,S)``794776
omap`2`x`((R)->S,OnePointCompletion(R))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``794867
omap`2`x`((R)->S,OrderedCompletion(R))->OrderedCompletion(S)`pOrderedCompletionFunctions2(R,S)``794983
omap`2`x`((R)->S,PR)->PS`pMPolyCatFunctions2(VarSet,E1,E2,R,S,PR,PS)``795156
omap`2`x`((R)->S,PR)->PS`pUnivariatePolynomialCategoryFunctions2(R,PR,S,PS)``795196
omap`2`x`((R)->S,Pattern(R))->Pattern(S)`pPatternFunctions2(R,S)``795485
omap`2`x`((R)->S,Polynomial(R))->Polynomial(S)`pPolynomialFunctions2(R,S)``795609
omap`2`x`((R)->S,QR)->QS`pQuaternionCategoryFunctions2(QR,R,QS,S)``795756
omap`2`x`((R)->S,Segment(R))->List(S)`pSegmentFunctions2(R,S)`has(R,OrderedRing)`795849
omap`2`x`((R)->S,Segment(R))->Segment(S)`pSegmentFunctions2(R,S)``796080
omap`2`x`((R)->S,SegmentBinding(R))->SegmentBinding(S)`pSegmentBindingFunctions2(R,S)``796150
omap`2`x`((R)->S,SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(S)`pSparseUnivariatePolynomialFunctions2(R,S)``796229
omap`2`x`((R)->S,UnivariatePolynomial(x,R))->UnivariatePolynomial(y,S)`pUnivariatePolynomialFunctions2(x,R,y,S)``796364
omap`2`x`((R)->S,UniversalSegment(R))->Stream(S)`pUniversalSegmentFunctions2(R,S)`has(R,OrderedRing)`796499
omap`2`x`((R)->S,UniversalSegment(R))->UniversalSegment(S)`pUniversalSegmentFunctions2(R,S)``796590
omap`2`x`((R1)->R2,F1)->F2`pFunctionFieldCategoryFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``796697
omap`2`x`((R1)->R2,FiniteDivisor(R1,UP1,UPUP1,F1))->FiniteDivisor(R2,UP2,UPUP2,F2)`pFiniteDivisorFunctions2(R1,UP1,UPUP1,F1,R2,UP2,UPUP2,F2)``796779
omap`2`x`((R1)->R2,FractionalIdeal(R1,F1,U1,A1))->FractionalIdeal(R2,F2,U2,A2)`pFractionalIdealFunctions2(R1,F1,U1,A1,R2,F2,U2,A2)``796821
omap`2`x`((R1)->R2,M1)->M2`pFreeModuleCoefficientFunctions2(R1,R2,S,M1,M2)``796863
omap`2`x`((R1)->R2,M1)->M2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``796952
omap`2`x`((R1)->R2,M1)->M2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``797048
omap`2`x`((R1)->R2,Point(R1))->Point(R2)`pPointFunctions2(R1,R2)``797144
omap`2`x`((R1)->R2,Sequence(R1))->Sequence(R2)`pSequenceFunctions2(R1,R2)``797184
omap`2`x`((R1)->Union(R2,"failed"),M1)->Union(M2,"failed")`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``797264
omap`2`x`((S)->R,A)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``797360
omap`2`x`((S)->R,A)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``797523
omap`2`x`((S)->R,Equation(S))->Equation(R)`pEquationFunctions2(S,R)``797685
omap`2`x`((S)->S,_$)->L`cSegmentExpansionCategory(S,L)``797777
omap`2`x`((S)->S,_$)->_$`cHomogeneousAggregate(S)``798001
omap`2`x`((S)->S,_$)->_$`dEquation(S)``798172
omap`2`x`((S)->S,_$)->_$`dInfiniteTuple(S)``798269
omap`2`x`((S)->T,CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``798352
omap`2`x`((_$)->_$,Kernel(_$))->_$`cExpressionSpace``798481
omap`3`n`((Entry,Entry)->Entry,S,S)->S`xTableAggregate&(S,Key,Entry)``0
omap`3`n`((F)->S,Symbol,Kernel(F))->S`pExpressionSpaceFunctions1(F,S)``798586
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)``798727
omap`3`x`((A,B)->C,InfiniteTuple(A),InfiniteTuple(B))->InfiniteTuple(C)`pInfiniteTupleFunctions3(A,B,C)``799037
omap`3`x`((A,B)->C,InfiniteTuple(A),Stream(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``799082
omap`3`x`((A,B)->C,List(A),List(B))->List(C)`pListFunctions3(A,B,C)``799127
omap`3`x`((A,B)->C,Stream(A),InfiniteTuple(B))->Stream(C)`pInfiniteTupleFunctions3(A,B,C)``799577
omap`3`x`((A,B)->C,Stream(A),Stream(B))->Stream(C)`pStreamFunctions3(A,B,C)``799622
omap`3`x`((Entry,Entry)->Entry,_$,_$)->_$`cTableAggregate(Key,Entry)``799895
omap`3`x`((R)->S,OnePointCompletion(R),OnePointCompletion(S))->OnePointCompletion(S)`pOnePointCompletionFunctions2(R,S)``800144
omap`3`x`((R,R)->R,_$,_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``800265
omap`3`x`((R,R)->R,_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``800419
omap`3`x`((S,S)->S,_$,_$)->_$`cLinearAggregate(S)``800543
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)``800779
omap`4`x`((R,R)->R,_$,_$,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``800953
omap`5`n`(A,List(NonNegativeInteger),List(S),Integer,Integer)->A`xPoset&(A,S)``0
omap`5`n`(_$,List(NonNegativeInteger),List(S),Integer,Integer)->_$`cFiniteGraph(S)``801315
omapall`2`x`((R1)->R2,Distribution(R1))->Distribution(R2)`pDistributionFunctions2(R1,R2)``801717
omapdiv`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`801812
omapmult`2`n`(Stream(A),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``801910
omask`1`n`(S)->S`xIntegerNumberSystem&(S)``0
omask`1`x`(_$)->_$`cIntegerNumberSystem``802009
omatch?`3`x`(_$,_$,Character)->Boolean`cStringAggregate``802076
omatch`2`x`(List(A),List(B))->(A)->B`pListToMap(A,B)``802267
omatch`3`x`(List(A),List(B),(A)->B)->(A)->B`pListToMap(A,B)``802670
omatch`3`x`(List(A),List(B),A)->B`pListToMap(A,B)``803042
omatch`3`x`(List(A),List(B),B)->(A)->B`pListToMap(A,B)``803403
omatch`4`x`(List(A),List(B),A,(A)->B)->B`pListToMap(A,B)``803778
omatch`4`x`(List(A),List(B),A,B)->B`pListToMap(A,B)``804167
omathieu11`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``804541
omathieu11`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``804633
omathieu12`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``804876
omathieu12`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``804968
omathieu22`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``805208
omathieu22`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``805300
omathieu23`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``805541
omathieu23`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``805633
omathieu24`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``805874
omathieu24`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``805966
omatrixConcat3D`3`n`(Symbol,_$,_$)->_$`dThreeDimensionalMatrix(R)``806207
omatrixDimensions`1`n`(_$)->Vector(NonNegativeInteger)`dThreeDimensionalMatrix(R)``806309
omatrixGcd`3`n`(Matrix(R),R,NonNegativeInteger)->R`pIntegralBasisTools(R,UP,F)``806378
omatrix`1`n`(List(List(R)))->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`1`n`(List(List(_$)))->_$`dOutputForm``806557
omatrix`1`n`(_$)->Matrix(R)`dIncidenceAlgebra(R,S)``806667
omatrix`1`x`(List(List(R)))->_$`cMatrixCategory(R,Row,Col)``806747
omatrix`1`x`(List(List(R)))->_$`cRectangularMatrixCategory(m,n,R,Row,Col)``806893
omatrix`1`x`(_$)->SquareMatrix(n,K)`dQuadraticForm(n,K)``807039
omatrix`3`n`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->S`xMatrixCategory&(S,R,Row,Col)``0
omatrix`3`x`(NonNegativeInteger,NonNegativeInteger,(Integer,Integer)->R)->_$`cMatrixCategory(R,Row,Col)``807123
omaxColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``807245
omaxColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``807337
omaxDegree`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807427
omaxDegree`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``807484
omaxDerivative`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``807831
omaxDerivative`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``807896
omaxIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
omaxIndex`1`n`(A)->Integer`xLinearAggregate&(A,S)``0
omaxIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteCubicalComplex(VS)``808063
omaxIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``808094
omaxIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``808125
omaxIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`808154
omaxLevel`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``808369
omaxLevel`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``808424
omaxMixedDegree`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``808624
omaxMixedDegree`1`x`(NonNegativeInteger)->_$`dGuessOption``808691
omaxPoints3D`0`n`()->Integer`dPlot3D``809030
omaxPoints`0`n`()->Integer`dPlot``809106
omaxPoints`0`x`()->Integer`pGraphicsDefaults``809179
omaxPoints`1`x`(Integer)->Integer`pGraphicsDefaults``809253
omaxPower`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``809324
omaxPower`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``809379
omaxRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``809680
omaxRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``809769
omaxShift`1`n`(List(GuessOption))->Union(NonNegativeInteger,"arbitrary")`dGuessOptionFunctions0``809856
omaxShift`1`x`(Union(NonNegativeInteger,"arbitrary"))->_$`dGuessOption``809911
omaxSubst`1`n`(List(GuessOption))->Union(PositiveInteger,"arbitrary")`dGuessOptionFunctions0``810050
omaxSubst`1`x`(Union(PositiveInteger,"arbitrary"))->_$`dGuessOption``810105
omax`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`810465
omax`0`x`()->_$`dSingleInteger``810528
omax`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omax`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omax`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``810584
omax`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`810769
omax`1`x`(_$)->S`cPriorityQueueAggregate(S)``810841
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omax`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omax`2`n`(S,S)->S`xOrderedSet&(S)``0
omax`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``810918
omax`2`n`(_$,_$)->_$`cSPointCategory``811122
omax`2`x`(_$,_$)->_$`cOrderedSet``811399
omaxdeg`1`n`(_$)->E`dXPolynomialRing(R,E)``811493
omaxdeg`1`x`(_$)->FreeMonoid(vl)`cXPolynomialsCat(vl,R)``811651
omaximumExponent`0`n`()->Integer`dMachineFloat``811737
omaximumExponent`1`n`(Integer)->Integer`dMachineFloat``811811
omaxint`0`n`()->PositiveInteger`dMachineInteger``811895
omaxint`1`n`(PositiveInteger)->PositiveInteger`dMachineInteger``811959
omaxrank`1`n`(List(Record(rank:NonNegativeInteger,eqns:List(Record(det:GR,rows:List(Integer),cols:List(Integer))),fgb:List(GR))))->NonNegativeInteger`pParametricLinearEquations(R,Var,Expon,GR)``812033
omaxrow`6`n`(List(S),List(List(List(S))),List(List(S)),List(List(List(S))),List(List(List(S))),List(List(List(S))))->Record(f1:List(S),f2:List(List(List(S))),f3:List(List(S)),f4:List(List(List(S))))`pTableauxBumpers(S)``812115
omdeg`1`n`(S)->NonNegativeInteger`xRecursivePolynomialCategory&(S,R,E,V)``0
omdeg`1`x`(_$)->NonNegativeInteger`cRecursivePolynomialCategory(R,E,V)``812198
omeatAxe`1`x`(List(Matrix(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`812395
omeatAxe`2`x`(List(Matrix(R)),Boolean)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`813442
omeatAxe`2`x`(List(Matrix(R)),PositiveInteger)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`813858
omeatAxe`4`x`(List(Matrix(R)),Boolean,Integer,Integer)->List(List(Matrix(R)))`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`814042
omedialSet`1`x`(List(P))->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``815124
omedialSet`3`x`(List(P),(P,P)->Boolean,(P,P)->P)->Union(_$,"failed")`dWuWenTsunTriangularSet(R,E,V,P)``815231
omeetIfCan`2`n`(A,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`2`n`(_$,List(NonNegativeInteger))->Union(NonNegativeInteger,"failed")`cPoset(S)``815802
omeetIfCan`3`n`(A,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`xPoset&(A,S)``0
omeetIfCan`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`cPoset(S)``815875
omeet`1`n`(List(_$))->_$`dLatticeJoinOfMeets``816104
omeet`1`n`(List(_$))->_$`dLatticeMeetOfJoins``816142
omeet`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`cCoDcpo(S)``816180
omeijerG`5`n`(List(F),List(F),List(F),List(F),F)->F`pFunctionalSpecialFunction(R,F)`has(F,RetractableTo(Integer))`816339
omeijerG`5`x`(List(_$),List(_$),List(_$),List(_$),_$)->_$`cSpecialFunctionCategory`has(_$,RetractableTo(Integer))`816412
omeixnerM`4`n`(F,F,F,F)->F`pFunctionalSpecialFunction(R,F)``816486
omeixnerM`4`x`(_$,_$,_$,_$)->_$`cSpecialFunctionCategory``816553
omember?`2`n`(PositiveInteger,_$)->Boolean`dSetOfMIntegersInOneToN(m,n)``816620
omember?`2`n`(R,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
omember?`2`n`(Record(key:Key,entry:Entry),S)->Boolean`xKeyedDictionary&(S,Key,Entry)``0
omember?`2`n`(S,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
omember?`2`n`(S,A)->Boolean`xHomogeneousAggregate&(A,S)``0
omember?`2`n`(Vector(R),_$)->Boolean`dVectorSpaceBasis(R)``816724
omember?`2`x`(Permutation(S),_$)->Boolean`dPermutationGroup(S)``816823
omember?`2`x`(S,_$)->Boolean`cHomogeneousAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`816945
omembers`1`n`(A)->List(S)`xHomogeneousAggregate&(A,S)``0
omembers`1`n`(_$)->List(P)`dFiniteMoebiusFunction(P)``817175
omembers`1`n`(_$)->List(P)`dGeneralizedFiniteMoebiusFunction(P,R)``817238
omembers`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`817301
omembers`1`x`(_$)->List(S)`dMultiset(S)``817462
omerge!`2`n`(A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`2`n`(A,A)->A`xListAggregate&(A,S)``0
omerge!`2`x`(_$,_$)->_$`cExtensibleLinearAggregate(S)`has(S,OrderedSet)`817592
omerge!`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``817684
omerge!`3`n`((S,S)->Boolean,A,A)->A`xExtensibleLinearAggregate&(A,S)``0
omerge!`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge!`3`x`((S,S)->Boolean,_$,_$)->_$`cExtensibleLinearAggregate(S)``817813
omerge2`7`n`(Integer,List(Integer),List(Integer),Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->Record(offsetdata:Vector(Integer),expdata:SortedExponentVector)`pInnerModularHermitePade``0
omergeDifference`2`x`(List(S),List(S))->List(S)`pMergeThing(S)``817916
omergeFactors`2`n`(Factored(R),Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``818101
omerge_exponents`5`n`(Integer,Vector(Integer),SortedExponentVector,Vector(Integer),SortedExponentVector)->List(List(Integer))`pInnerModularHermitePade``0
omerge`1`n`(List(_$))->_$`dSubSpace(n,R)``818424
omerge`1`x`(List(_$))->_$`cThreeSpaceCategory(R)``818503
omerge`2`n`(A,A)->A`xLinearAggregate&(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`(A,A)->A`xPoset&(A,S)``0
omerge`2`n`(_$,_$)->_$`cFiniteGraph(S)``818697
omerge`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``818890
omerge`2`n`(_$,_$)->_$`dSubSpace(n,R)``818938
omerge`2`x`(_$,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`819030
omerge`2`x`(_$,_$)->_$`cPriorityQueueAggregate(S)``819157
omerge`2`x`(_$,_$)->_$`cThreeSpaceCategory(R)``819288
omerge`3`n`((S,S)->Boolean,A,A)->A`xLinearAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xListAggregate&(A,S)``0
omerge`3`n`((S,S)->Boolean,A,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
omerge`3`x`((S,S)->Boolean,_$,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`819466
omesh?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``820082
omeshFun2Var`5`n`((DoubleFloat,DoubleFloat)->DoubleFloat,Union((DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat,"undefined"),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``820296
omeshPar1Var`6`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``820361
omeshPar2Var`4`n`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``820430
omeshPar2Var`5`n`(ThreeSpace(DoubleFloat),(DoubleFloat,DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),List(DrawOption))->ThreeSpace(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``820490
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``820556
omesh`1`x`(List(List(Point(R))))->_$`cThreeSpaceCategory(R)``820631
omesh`1`x`(_$)->List(List(Point(R)))`cThreeSpaceCategory(R)``820858
omesh`3`x`(List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``821120
omesh`4`x`(_$,List(List(List(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``821866
omesh`4`x`(_$,List(List(List(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``822787
omesh`4`x`(_$,List(List(Point(R))),Boolean,Boolean)->_$`cThreeSpaceCategory(R)``823351
omesh`4`x`(_$,List(List(Point(R))),List(SubSpaceComponentProperty),SubSpaceComponentProperty)->_$`cThreeSpaceCategory(R)``824132
omessagePrint`1`n`(String)->Void`dOutputForm``824506
omessage`1`n`(String)->_$`dOutputForm``824646
omfactor`2`n`(U32Vector,Integer)->List(U32Vector)`pModularFactorization``0
omiddle`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``824731
omidpoint`1`x`(Record(left:Fraction(Integer),right:Fraction(Integer)))->Fraction(Integer)`pRealZeroPackage(Pol)``824802
omidpoints`1`x`(List(Record(left:Fraction(Integer),right:Fraction(Integer))))->List(Fraction(Integer))`pRealZeroPackage(Pol)``824879
omightHaveRoots`2`x`(ThePolDom,_$)->Boolean`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``824984
ominColIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``825060
ominColIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``825153
ominGbasis`1`n`(List(Dpol))->List(Dpol)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``825244
ominIndex`1`n`(A)->Integer`xLazyStreamAggregate&(A,S)``0
ominIndex`1`n`(S)->Index`xIndexedAggregate&(S,Index,Entry)``0
ominIndex`1`n`(_$)->NonNegativeInteger`dFiniteSimplicialComplex(VS)``825282
ominIndex`1`n`(_$)->NonNegativeInteger`dOrientedFacet``825313
ominIndex`1`x`(_$)->Index`cIndexedAggregate(Index,Entry)`has(Index,OrderedSet)`825342
ominPoints3D`0`n`()->Integer`dPlot3D``825543
ominPoints`0`n`()->Integer`dPlot``825619
ominPoints`0`x`()->Integer`pGraphicsDefaults``825692
ominPoints`1`x`(Integer)->Integer`pGraphicsDefaults``825766
ominPol`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``825837
ominPol`3`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(HomogeneousDistributedMultivariatePolynomial(lv,F)),OrderedVariableList(lv))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``825872
ominPoly`1`n`(Kernel(F))->SparseUnivariatePolynomial(F)`pAlgebraicFunction(R,F)`has(R,RetractableTo(Integer))`825907
ominPoly`1`x`(Kernel(_$))->SparseUnivariatePolynomial(_$)`cExpressionSpace`has(_$,Ring)`825977
ominRowIndex`1`x`(_$)->Integer`cRectangularMatrixCategory(m,n,R,Row,Col)``826046
ominRowIndex`1`x`(_$)->Integer`cTwoDimensionalArrayCategory(R,Row,Col)``826136
ominShift`1`n`(List(T))->List(T)`pListPackage(T)`has(T,OrderedSet)`826224
omin`0`x`()->_$`cFloatingPointSystem`AND(not(has(_$,arbitraryExponent)),not(has(_$,arbitraryPrecision)))`826325
omin`0`x`()->_$`dSingleInteger``826388
omin`1`n`(A)->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`1`n`(A)->NonNegativeInteger`xPoset&(A,S)``0
omin`1`n`(A)->S`xFiniteSetAggregate&(A,S)``0
omin`1`n`(_$)->NonNegativeInteger`cFiniteGraph(S)``826445
omin`1`x`(_$)->S`cFiniteSetAggregate(S)`has(S,OrderedSet)`826623
omin`1`x`(_$)->S`cOrderedMultisetAggregate(S)``826696
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xFiniteGraph&(A,S)``0
omin`2`n`(A,List(NonNegativeInteger))->NonNegativeInteger`xPoset&(A,S)``0
omin`2`n`(S,S)->S`xOrderedSet&(S)``0
omin`2`n`(_$,List(NonNegativeInteger))->NonNegativeInteger`cFiniteGraph(S)``826780
omin`2`n`(_$,_$)->_$`cSPointCategory``826977
omin`2`x`(_$,_$)->_$`cOrderedSet``827256
omindegTerm`1`x`(_$)->Record(k:FreeMonoid(vl),c:R)`cXFreeAlgebra(vl,R)``827350
omindeg`1`n`(_$)->E`dXPolynomialRing(R,E)``827427
omindeg`1`x`(_$)->FreeMonoid(vl)`cXFreeAlgebra(vl,R)``827585
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(F)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xComplexCategory&(S,R)``0
ominimalPolynomial`1`n`(S)->UP`xFramedAlgebra&(S,R,UP)``0
ominimalPolynomial`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``827681
ominimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(F)`cFiniteAlgebraicExtensionField(F)``827799
ominimalPolynomial`1`x`(_$)->UP`cFiniteRankAlgebra(R,UP)`has(R,Field)`827920
ominimalPolynomial`2`n`(S,PositiveInteger)->SparseUnivariatePolynomial(S)`xFiniteAlgebraicExtensionField&(S,F)``0
ominimalPolynomial`2`x`(_$,PositiveInteger)->SparseUnivariatePolynomial(_$)`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`827999
ominimize`1`n`(_$)->_$`dFractionalIdeal(R,F,UP,A)``828159
ominimumDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ominimumDegree`1`x`(_$)->E`cFiniteAbelianMonoidRing(R,E)``828235
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`(_$,List(VarSet))->List(NonNegativeInteger)`cPolynomialCategory(R,E,VarSet)``828358
ominimumDegree`2`x`(_$,VarSet)->NonNegativeInteger`cPolynomialCategory(R,E,VarSet)``828516
ominimumExponent`0`n`()->Integer`dMachineFloat``828689
ominimumExponent`1`n`(Integer)->Integer`dMachineFloat``828763
ominordet`1`x`(M)->R`pMatrixLinearAlgebraFunctions(R,Row,Col,M)``828847
ominordet`1`x`(_$)->R`cMatrixCategory(R,Row,Col)`has(R,CommutativeRing)`828971
ominordet`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)`has(R,CommutativeRing)`829095
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)``829183
ominset`1`n`(List(List(GR)))->List(List(GR))`pParametricLinearEquations(R,Var,Expon,GR)``829265
ominus!`2`n`(Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``829414
ominus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``829566
ominusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``829771
ominusInfinity`0`x`()->_$`dOrderedCompletion(R)``829824
omirror`1`n`(_$)->_$`dFreeMagma(VarSet)``829873
omirror`1`n`(_$)->_$`dFreeMonoid(S)``830085
omirror`1`n`(_$)->_$`dLieExponentials(VarSet,R,Order)``830148
omirror`1`x`(_$)->_$`cFreeLieAlgebra(VarSet,R)``830230
omirror`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``830326
omix`1`n`(List(Record(den:Integer,gcdnum:Integer)))->Integer`pPointsOfFiniteOrderTools(UP,UPUP)``830426
omkAnswer`3`n`(F,List(Record(scalar:Fraction(Integer),coeff:SparseUnivariatePolynomial(F),logand:SparseUnivariatePolynomial(F))),List(Record(integrand:F,intvar:F)))->_$`dIntegrationResult(F)``830461
omkIntegral`1`n`(UPUP)->Record(coef:Fraction(UP),poly:UPUP)`pChangeOfVariable(F,UP,UPUP)``830622
omkPrim`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`AND(has(R,GcdDomain),has(F,ElementaryFunctionCategory))`830889
omk_erf`2`n`(F,F)->F`pElementaryRischDEX(R,F)``831010
omkcomm`1`x`(Integer)->_$`dCommutator``831071
omkcomm`2`x`(_$,_$)->_$`dCommutator``831111
ommul`3`n`(U32Matrix,U32Matrix,Integer)->U32Matrix`pModularFactorization``0
omodTree`2`x`(R,List(R))->List(R)`pCRApackage(R)``831156
omod_exp`3`n`(U32Vector,Integer,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``0
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(DoubleFloat))->Void`dThreeDimensionalViewport``831202
omodifyPointData`3`x`(_$,NonNegativeInteger,Point(R))->_$`cThreeSpaceCategory(R)``831471
omodifyPoint`3`n`(_$,List(NonNegativeInteger),NonNegativeInteger)->_$`dSubSpace(n,R)``831709
omodifyPoint`3`n`(_$,List(NonNegativeInteger),Point(R))->_$`dSubSpace(n,R)``832220
omodifyPoint`3`n`(_$,NonNegativeInteger,Point(R))->_$`dSubSpace(n,R)``832699
omodpeval`4`n`(Polynomial(Integer),List(Symbol),List(Integer),Integer)->Integer`pPolynomialEvaluationUtilities``833016
omodpreduction`2`n`(Fraction(Polynomial(Integer)),Integer)->Union(Record(numer:Polynomial(Integer),denom:Polynomial(Integer)),"failed")`pPolynomialEvaluationUtilities``833171
omodpreduction`2`n`(MP,Integer)->MP`cModularEvaluationCategory(PT,MP)``833267
omodpreduction`2`n`(Polynomial(Integer),Integer)->Polynomial(Integer)`pPolynomialEvaluationUtilities``833357
omodularFactor`1`n`(UP)->Record(prime:Integer,factors:List(UP))`pGaloisGroupFactorizer(UP)``833448
omodularGcdPrimitive`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``833946
omodularGcd`1`n`(List(BP))->BP`pInnerModularGcd(R,BP,pMod,nextMod)``834081
omodularInvariantJ`1`x`(Complex(Float))->Complex(Float)`pFloatEllipticFunctions``834197
omodular_compose`6`n`(U32Vector,U32Matrix,U32Vector,NonNegativeInteger,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->U32Vector`pModularFactorization``0
omoduleSum`2`n`(Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)),Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R)))->Record(basis:Matrix(R),basisDen:R,basisInv:Matrix(R))`pIntegralBasisTools(R,UP,F)``834442
omodule`1`n`(FractionalIdeal(R,F,UP,A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)`has(A,RetractableTo(F))`835361
omodule`1`n`(Vector(A))->_$`dFractionalIdealAsModule(R,F,UP,A,ibasis)``835437
omoduloP`1`x`(_$)->Integer`cPAdicIntegerCategory(p)``835543
omodulus`0`n`()->Rep`dModMonic(R,Rep)``835606
omodulus`0`x`()->Integer`cPAdicIntegerCategory(p)``835644
omodulus`1`n`(_$)->Mod`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``835699
omodulus`1`n`(_$)->Mod`dModularField(R,Mod,reduction,merge,exactQuo)``835738
omodulus`1`n`(_$)->Mod`dModularRing(R,Mod,reduction,merge,exactQuo)``835777
omoebiusBand`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``835816
omoebiusBand`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``835942
omoebiusFunction`1`n`(List(P))->_$`dFiniteMoebiusFunction(P)``836074
omoebiusMatrix`1`n`(_$)->Matrix(Integer)`dFiniteMoebiusFunction(P)``836158
omoebiusMatrix`1`n`(_$)->Matrix(R)`dGeneralizedFiniteMoebiusFunction(P,R)``836216
omoebiusMu`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``836273
omoebiusMu`3`n`(_$,P,P)->Integer`dFiniteMoebiusFunction(P)``836550
omoebius`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
omoebius`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``836635
omoebius`4`n`(F,F,F,F)->_$`dMoebiusTransform(F)``836863
omoment2Stransform`1`n`(Sequence(R))->Record(puiseux:Fraction(Integer),laurent:Fraction(Integer),coef:Sequence(R))`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`836949
omoment2booleanCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``837077
omoment2cumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``837200
omoment2freeCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``837318
omoment2jacobi2`1`n`(Sequence(R))->Stream(Record(an:R,bn:R))`pMomentPackage(R)`has(R,Field)`837435
omoment2jacobi`1`n`(Sequence(R))->Record(an:Stream(R),bn:Stream(R))`pMomentPackage(R)`has(R,Field)`837541
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``837624
omoment2monotoneCumulant`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)`has(R,Algebra(Fraction(Integer)))`837740
omoment2nthJacobi`1`n`(List(R))->Record(an:List(R),bn:List(R))`pMomentPackage(R)`has(R,Field)`837856
omoment`2`n`(_$,NonNegativeInteger)->R`cDistributionCategory(R)``837985
omoments`1`n`(_$)->Sequence(R)`cDistributionCategory(R)``838074
omonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
omonic?`1`n`(UP)->Boolean`pGaloisGroupPolynomialUtilities(R,UP)``838160
omonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``838263
omonicCompleteDecompose`1`x`(UP)->List(UP)`pUnivariatePolynomialDecompositionPackage(R,UP)``838444
omonicDecomposeIfCan`1`x`(UP)->Union(Record(left:UP,right:UP),"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``838677
omonicDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,Ring)`838819
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)`has(R,Ring)`839010
omonicLeftDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`839261
omonicLeftDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`839498
omonicModulo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
omonicModulo`2`n`(_$,_$)->_$`dNewSparseUnivariatePolynomial(R)``839782
omonicModulo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``839958
omonicRightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,IntegralDomain)`840087
omonicRightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,IntegralDomain)`840326
omonicRightFactorIfCan`2`x`(UP,NonNegativeInteger)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``840612
omonologextint`3`n`(List(UP),(Matrix(F))->List(Vector(Fraction(Integer))),(List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(logands:List(Fraction(UP)),basis:List(Vector(Fraction(Integer))))`pParametricTranscendentalIntegration(F,UP)``840874
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)``840950
omonom`2`n`(A,Integer)->Stream(A)`pStreamTaylorSeriesOperations(A)``841378
omonom`2`x`(FreeMonoid(vl),R)->_$`cXFreeAlgebra(vl,R)``841469
omonomial?`1`n`(S)->Boolean`xAbelianMonoidRing&(S,R,E)``0
omonomial?`1`n`(_$)->Boolean`dInnerSparseUnivariatePowerSeries(Coef)``841567
omonomial?`1`n`(_$)->Boolean`dLaurentPolynomial(R,UP)``841634
omonomial?`1`x`(_$)->Boolean`cAbelianMonoidRing(R,E)``841675
omonomial?`1`x`(_$)->Boolean`cIndexedDirectProductCategory(A,S)``841742
omonomial?`1`x`(_$)->Boolean`cMonoidRingCategory(R,M)``841883
omonomial?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``841950
omonomialIntPoly`2`n`(UP,(UP)->UP)->Record(answer:UP,polypart:UP)`pTranscendentalIntegration(F,UP)``842023
omonomialIntegrate`2`n`(Fraction(UP),(UP)->UP)->Record(ir:IntegrationResult(Fraction(UP)),specpart:Fraction(UP),polypart:UP)`pTranscendentalIntegration(F,UP)``842187
omonomial`2`n`(Coef,Expon)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
omonomial`2`n`(R,E)->S`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`2`n`(R,Expon)->_$`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``842409
omonomial`2`n`(R,Integer)->_$`dLaurentPolynomial(R,UP)``842507
omonomial`2`n`(R,ModuleMonomial(IS,E,ff))->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``842552
omonomial`2`n`(R,NonNegativeInteger)->S`xUnivariatePolynomialCategory&(S,R)``0
omonomial`2`x`(A,S)->_$`cIndexedDirectProductCategory(A,S)``842597
omonomial`2`x`(K,List(PositiveInteger))->_$`dCliffordAlgebra(n,K,bLin)``842708
omonomial`2`x`(R,E)->_$`cAbelianMonoidRing(R,E)``842821
omonomial`2`x`(R,M)->_$`cMonoidRingCategory(R,M)``842919
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`xMaybeSkewPolynomialCategory&(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`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomial`3`n`(_$,List(VarSet),List(NonNegativeInteger))->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``843007
omonomial`3`n`(_$,VarSet,NonNegativeInteger)->_$`cMaybeSkewPolynomialCategory(R,E,VarSet)``843087
omonomial`3`x`(_$,List(Var),List(Expon))->_$`cPowerSeriesCategory(Coef,Expon,Var)``843253
omonomial`3`x`(_$,List(Var),List(NonNegativeInteger))->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``843359
omonomial`3`x`(_$,Var,Expon)->_$`cPowerSeriesCategory(Coef,Expon,Var)``843479
omonomial`3`x`(_$,Var,NonNegativeInteger)->_$`cMultivariateTaylorSeriesCategory(Coef,Var)``843538
omonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
omonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)``843596
omonomials`1`x`(_$)->List(_$)`cFreeModuleCategory(R,S)``843780
omonomials`1`x`(_$)->List(_$)`cMonoidRingCategory(R,M)``843865
omonotoneConvolution`2`n`(_$,_$)->_$`cDistributionCategory(R)``843947
omonotoneCumulant2momentPoly`1`n`(Sequence(R))->Sequence(SparseUnivariatePolynomial(R))`pMomentPackage(R)``844065
omonotoneCumulant2moment`1`n`(Sequence(R))->Sequence(R)`pMomentPackage(R)``844230
omonotoneCumulants`1`n`(_$)->Sequence(R)`cDistributionCategory(R)`has(R,Algebra(Fraction(Integer)))`844355
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)`844463
omore?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``844672
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``844754
omoreAlgebraic?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``845027
omorphism`1`n`((R)->R)->_$`dAutomorphism(R)``845300
omorphism`1`n`((R,Integer)->R)->_$`dAutomorphism(R)``845381
omorphism`2`n`((R)->R,(R)->R)->_$`dAutomorphism(R)``845464
omotzkinPathArray`3`n`(Stream(R),Stream(R),Stream(R))->Stream(List(R))`pPathArrayPackage(R)``845592
omove`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dTwoDimensionalViewport``845786
omove`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Void`dThreeDimensionalViewport``846038
omovedPoints`1`x`(_$)->Set(S)`dPermutation(S)``846294
omovedPoints`1`x`(_$)->Set(S)`dPermutationGroup(S)``846384
ompsode`2`n`(List(Coef),List((List(UTS))->UTS))->List(UTS)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``846462
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)``846646
omrv_cmp`4`n`(Kernel(Expression(Integer)),Kernel(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(sign:Integer,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``846821
omrv_limit1`2`n`(Expression(Integer),Symbol)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``846844
omrv_limit`2`n`(Expression(Integer),Equation(OrderedCompletion(Expression(Integer))))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``846880
omrv_limit`3`n`(Expression(Integer),Equation(Expression(Integer)),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``846967
omrv_limit`3`n`(Expression(Integer),Symbol,OrderedCompletion(Expression(Integer)))->Union(OrderedCompletion(Expression(Integer)),Record(leftHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed"),rightHandLimit:Union(OrderedCompletion(Expression(Integer)),"failed")),"failed")`pMrvLimitPackage``847114
omrv_limit`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``847195
omrv_limit`4`n`(Expression(Integer),Symbol,Expression(Integer),String)->Union(OrderedCompletion(Expression(Integer)),"failed")`pMrvLimitPackage``847217
omrv_normalize`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Expression(Integer)`pMrvLimitPackage``847319
omrv_rewrite0`4`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Expression(Integer))->Expression(Integer)`pMrvLimitPackage``847427
omrv_rewrite`5`n`(Expression(Integer),List(Kernel(Expression(Integer))),List(Expression(Integer)),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(degree:OrderedExpression,coeff:Expression(Integer)),"failed")`pMrvLimitPackage``847454
omrv_set`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Record(lk:List(Kernel(Expression(Integer))),lc:List(Expression(Integer))),"failed")`pMrvLimitPackage``847469
omrv_sign`3`n`(Expression(Integer),Symbol,Record(tan_syms:List(Symbol),atan_syms:List(Symbol),tan_kers:List(Kernel(Expression(Integer))),atan_kers:List(Kernel(Expression(Integer)))))->Union(Integer,"failed")`pMrvLimitPackage``0
omul_by_binomial`3`n`(U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``847499
omul_by_binomial`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``847691
omul_by_scalar`4`n`(U32Vector,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``847928
omul`3`n`(U32Vector,U32Vector,Integer)->U32Vector`pU32VectorPolynomialOperations``848102
omulmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``848136
omultMonom`3`n`(R,E,_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``848221
omultiEuclideanTree`2`x`(List(R),R)->List(R)`pCRApackage(R)``848272
omultiEuclidean`2`n`(List(S),S)->Union(List(S),"failed")`xEuclideanDomain&(S)``0
omultiEuclidean`2`x`(List(_$),_$)->Union(List(_$),"failed")`cEuclideanDomain``848329
omultiIndex`1`n`(_$)->List(NonNegativeInteger)`cJetBundleCategory``848552
omulti_SPDE`5`n`(SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(F),List(SparseUnivariatePolynomial(F)),Integer,(SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F))->Union(List(Record(ans:SparseUnivariatePolynomial(F),remainder:SparseUnivariatePolynomial(F))),Record(ans:List(SparseUnivariatePolynomial(F)),acoeff:SparseUnivariatePolynomial(F),eegen:SparseUnivariatePolynomial(F),bpar:SparseUnivariatePolynomial(F),lcpar:List(SparseUnivariatePolynomial(F)),dpar:Integer))`pRDEaux(--F)``848636
omultifunctionGraph`1`n`(List(Permutation(S)))->_$`dMultifunctionGraph(S)``848687
omultifunctionGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,next:List(NonNegativeInteger),map:List(List(NonNegativeInteger)))))->_$`dMultifunctionGraph(S)``848739
omultifunctionGraph`1`n`(List(S))->_$`dMultifunctionGraph(S)``848843
omultifunctionGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dMultifunctionGraph(S)``849115
omultifunctionGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dMultifunctionGraph(S)``849230
omultinomial`2`x`(I,List(I))->I`pIntegerCombinatoricFunctions(I)``849300
omultiple?`1`n`(_$)->Boolean`dPattern(R)``849421
omultiple`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``849566
omultiple`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``849872
omultiplicative?`2`n`(_$,PositiveInteger)->Boolean`dDirichletRing(Coef)``850142
omultiplyCoefficients`2`n`((Integer)->Coef,_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``850259
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateLaurentSeriesCategory(Coef)``850429
omultiplyCoefficients`2`x`((Integer)->Coef,_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``850646
omultiplyExponents`2`x`(_$,Fraction(Integer))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``850871
omultiplyExponents`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``851007
omultiplyExponents`2`x`(_$,PositiveInteger)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``851178
omultisect`3`n`(Integer,Integer,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``851306
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
omultisect`3`n`(Integer,Integer,_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``851428
omultiset`0`x`()->_$`dMultiset(S)``851575
omultiset`1`x`(List(S))->_$`dMultiset(S)``851656
omultiset`1`x`(S)->_$`dMultiset(S)``851732
omultivariate`2`n`(Fraction(SparseUnivariatePolynomial(F)),V)->F`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``851802
omultivariate`2`x`(Fraction(SparseUnivariatePolynomial(Fraction(Polynomial(R)))),Symbol)->Fraction(Polynomial(R))`pRationalFunction(R)``851905
omultivariate`2`x`(SparseUnivariatePolynomial(R),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``852008
omultivariate`2`x`(SparseUnivariatePolynomial(_$),VarSet)->_$`cPolynomialCategory(R,E,VarSet)``852143
omultivariate`3`n`(SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F))),Kernel(F),F)->F`pGenusZeroIntegration(R,F,L)``852278
omultivector`1`x`(List(K))->_$`dCliffordAlgebra(n,K,bLin)``852332
omusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``852413
omusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``852514
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`(_$)->V`cRecursivePolynomialCategory(R,E,V)``852653
omvar`1`x`(_$)->VarSet`cPolynomialSetCategory(R,E,VarSet,P)``852844
omyDegree`3`n`(SparseUnivariatePolynomial(P),List(OV),NonNegativeInteger)->List(NonNegativeInteger)`pMultivariateSquareFree(E,OV,R,P)``852996
onaiveBeckermannLabahn0`8`n`(Vector(U32Vector),Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->Void`pNaiveBeckermannLabahnModular``853035
onaiveBeckermannLabahn1`7`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahn1`7`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer,(Integer)->Integer,(U32Vector,Integer,Integer)->Void,(U32Vector,Integer,Integer)->Void)->List(Any)`pNaiveBeckermannLabahnModular``0
onaiveBeckermannLabahnMultipoint`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853062
onaiveBeckermannLabahnMultipoint`4`n`(Vector(U32Vector),Vector(Integer),U32Vector,Integer)->List(Any)`pNaiveBeckermannLabahnModular``853636
onaiveBeckermannLabahn`4`n`(Vector(SparseUnivariatePolynomial(Integer)),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``854210
onaiveBeckermannLabahn`4`n`(Vector(U32Vector),Vector(Integer),NonNegativeInteger,Integer)->List(Any)`pNaiveBeckermannLabahnModular``854763
oname`1`n`(_$)->Symbol`cJetBundleCategory``855316
oname`1`n`(_$)->Symbol`dFunctionCalled(f)``855386
oname`1`n`(_$)->Symbol`dKernel(S)``855427
oname`1`n`(_$)->Symbol`dRuleCalled(f)``855491
oname`1`x`(_$)->Name`cFileCategory(Name,S)``855532
oname`1`x`(_$)->String`cFileNameCategory``855602
oname`1`x`(_$)->Symbol`dBasicOperator``855664
oname`1`x`(_$)->_$`dSymbol``855718
onamedBranch`2`n`(List(_$),List(String))->_$`dSceneNamedPoints(PT)``855778
onamedPoints`2`n`(List(PT),List(String))->_$`dSceneNamedPoints(PT)``855860
onamedPoints`2`n`(List(Scene(PT)),List(String))->_$`dSceneNamedPoints(PT)``855935
onand`2`n`(S,S)->S`xBitAggregate&(S)``0
onand`2`x`(_$,_$)->_$`cBitAggregate``856009
onand`2`x`(_$,_$)->_$`dBoolean``856108
onary?`1`x`(_$)->Boolean`dBasicOperator``856190
oncDetSys`1`n`(List(JetBundleExpression(JB1)))->List(JetBundleExpression(JetBundleSymAna(JB1,xi,eta)))`pSymmetryAnalysis(JB1,xi,eta)``856254
oncDetSys`2`n`(List(JetBundleExpression(JB1)),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``856418
oncDetSys`3`n`(List(JetBundleExpression(JB1)),List(JB1),JetVectorField(JB1,JetBundleExpression(JB1)))->List(JetBundleExpression(JB1))`pSymmetryAnalysis(JB1,xi,eta)``856582
oncols`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
oncols`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``856781
oncols`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``856858
oncols`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``856935
onegative?`1`n`(S)->Boolean`xOrderedRing&(S)``0
onegative?`1`x`(_$)->Boolean`cIntervalCategory(R)``857010
onegative?`1`x`(_$)->Boolean`cOrderedRing``857125
onegative?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
onegative?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``857200
onewFortranTempVar`0`n`()->Symbol`pFortranCodeTools``857300
onewLine`0`x`()->String`pDisplayPackage``857404
onewReduc`1`n`(Integer)->Void`pFunctionSpaceReduce(R,F)``857464
onewSubProgram`1`n`(Symbol)->Void`dTheSymbolTable``857581
onewTypeLists`1`n`(_$)->SExpression`dSymbolTable``857688
onew`0`n`()->_$`dHashState``857732
onew`0`n`()->_$`dPatternMatchListResult(R,S,L)``857776
onew`0`n`()->_$`dPatternMatchResult(R,S)``857830
onew`0`n`()->_$`dSubSpace(n,R)``857884
onew`0`n`()->_$`dSubSpaceComponentProperty``857918
onew`0`x`()->_$`dScriptFormulaFormat``857952
onew`0`x`()->_$`dSymbol``858127
onew`0`x`()->_$`dTexFormat``858195
onew`1`x`(_$)->_$`dSymbol``858366
onew`2`n`(List(C),Integer)->_$`dSparseEchelonMatrix(C,D)``858443
onew`2`n`(NonNegativeInteger,S)->A`xListAggregate&(A,S)``0
onew`2`x`(NonNegativeInteger,S)->_$`cLinearAggregate(S)``858631
onew`3`x`(NonNegativeInteger,NonNegativeInteger,R)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``858733
onew`3`x`(String,String,String)->_$`cFileNameCategory``858831
onewline`0`x`()->_$`dCharacter``859149
onewton`1`n`(List(F))->SparseUnivariatePolynomial(F)`pNewtonInterpolation(F)``859205
onextColeman`3`x`(List(Integer),List(Integer),Matrix(Integer))->Matrix(Integer)`pSymmetricGroupCombinatoricFunctions``859567
onextIrreduciblePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``859906
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``860613
onextLatticePermutation`3`x`(List(Integer),List(Integer),Boolean)->List(Integer)`pSymmetricGroupCombinatoricFunctions``860700
onextNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``861144
onextNormalPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``861980
onextPartition`3`x`(List(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``862974
onextPartition`3`x`(Vector(Integer),Vector(Integer),Integer)->Vector(Integer)`pSymmetricGroupCombinatoricFunctions``863382
onextPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``863790
onextPrimitiveNormalPoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``863874
onextPrimitivePoly`1`n`(SparseUnivariatePolynomial(GF))->Union(SparseUnivariatePolynomial(GF),"failed")`pFiniteFieldPolynomialPackage(GF)``864935
onextSublist`2`n`(Integer,Integer)->List(List(Integer))`pParametricLinearEquations(R,Var,Expon,GR)``865759
onextSubsetGray`2`n`(Vector(Vector(Integer)),PositiveInteger)->Vector(Vector(Integer))`pGrayCode``865855
onext_sousResultant2`4`n`(polR,polR,polR,R)->polR`pPseudoRemainderSequence(R,polR)``866912
onext_subResultant2`4`x`(_$,_$,_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`867066
onext`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``867284
onilFactor`2`x`(R,Integer)->_$`dFactored(R)``867480
onil`0`x`()->_$`dList(S)``867635
onlde`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`867679
onoKaratsuba`2`x`(U,U)->U`pUnivariatePolynomialMultiplicationPackage(R,U)``867988
onoLinearFactor?`1`n`(UP)->Boolean`pBrillhartTests(UP)``868088
onode?`2`n`(A,A)->Boolean`xBinaryRecursiveAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xLazyStreamAggregate&(A,S)``0
onode?`2`n`(A,A)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
onode?`2`x`(_$,_$)->Boolean`cRecursiveAggregate(S)`has(S,BasicType)`868331
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868463
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeFromNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeFromNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868590
onodeOf?`2`n`(SplittingNode(V,C),_$)->Boolean`dSplittingTree(V,C)``868712
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToArrow`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToArrow`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868809
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
onodeToNode`2`n`(A,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
onodeToNode`2`n`(_$,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``868935
onode`3`x`(_$,S,_$)->_$`cBinaryTreeCategory(S)``869056
onodes`1`n`(A)->List(A)`xBinaryRecursiveAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xLazyStreamAggregate&(A,S)``0
onodes`1`n`(A)->List(A)`xUnaryRecursiveAggregate&(A,S)``0
onodes`1`x`(_$)->List(_$)`cRecursiveAggregate(S)``869186
ononQsign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``869267
ononSingularModel`1`n`(Symbol)->List(Polynomial(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``869307
ononSingularModel`1`x`(Symbol)->List(Polynomial(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Field)`869436
ononcommutativeJordanAlgebra?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``869565
ononcommutativeJordanAlgebra?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``869666
onor`2`n`(S,S)->S`xBitAggregate&(S)``0
onor`2`x`(_$,_$)->_$`cBitAggregate``869767
onor`2`x`(_$,_$)->_$`dBoolean``869864
onormDeriv2`2`n`(SparseUnivariatePolynomial(R),Integer)->SparseUnivariatePolynomial(R)`pMultivariateSquareFree(E,OV,R,P)``869944
onormFactors`1`n`(ExtP)->List(ExtP)`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``869985
onormInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``870028
onorm`1`n`(S)->F`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`1`n`(S)->R`xComplexCategory&(S,R)``0
onorm`1`n`(S)->R`xMonogenicAlgebra&(S,R,UP)``0
onorm`1`n`(S)->R`xOctonionCategory&(S,R)``0
onorm`1`n`(S)->R`xQuaternionCategory&(S,R)``0
onorm`1`n`(S)->S`xRealNumberSystem&(S)``0
onorm`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``870128
onorm`1`n`(_$)->F`dFractionalIdeal(R,F,UP,A)``870259
onorm`1`n`(_$)->F`dFractionalIdealAsModule(R,F,UP,A,ibasis)``870321
onorm`1`x`(PolE)->PolR`pNormInMonogenicAlgebra(R,PolR,E,PolE)``870384
onorm`1`x`(_$)->F`cFiniteAlgebraicExtensionField(F)``870502
onorm`1`x`(_$)->R`cComplexCategory(R)``870644
onorm`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``870705
onorm`1`x`(_$)->R`cOctonionCategory(R)``870820
onorm`1`x`(_$)->R`cQuaternionCategory(R)``870930
onorm`1`x`(_$)->_$`cRealNumberSystem``871026
onorm`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
onorm`2`n`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``871083
onorm`2`n`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dInnerAlgebraicNumber``871214
onorm`2`n`(UP,PositiveInteger)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``871346
onorm`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``871428
onorm`2`n`(_$,Kernel(_$))->_$`dInnerAlgebraicNumber``871525
onorm`2`n`(_$,List(Kernel(_$)))->_$`dInnerAlgebraicNumber``871662
onorm`2`x`(SparseUnivariatePolynomial(_$),Kernel(_$))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``871800
onorm`2`x`(SparseUnivariatePolynomial(_$),List(Kernel(_$)))->SparseUnivariatePolynomial(_$)`dAlgebraicNumber``871931
onorm`2`x`(_$,Kernel(_$))->_$`dAlgebraicNumber``872063
onorm`2`x`(_$,List(Kernel(_$)))->_$`dAlgebraicNumber``872200
onorm`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`872338
onormal01`0`n`()->Float`pRandomFloatDistributions``872642
onormal?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
onormal?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``872681
onormal?`1`n`(Vector(GF))->Boolean`pInnerNormalBasisFieldFunctions(GF)``872846
onormal?`1`x`(_$)->Boolean`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`872944
onormalDenom`2`n`(Fraction(UP),(UP)->UP)->UP`pMonomialExtensionTools(F,UP)``873227
onormalDeriv`2`n`(SparseUnivariatePolynomial(P),Integer)->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``873362
onormalElement`0`x`()->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`873464
onormalElement`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``873912
onormalForm`2`x`(Dpol,List(Dpol))->Dpol`pGroebnerPackage(Dom,Expon,VarSet,Dpol)`has(Dom,Field)`874022
onormalForm`3`n`(Matrix(K),Automorphism(K),(K)->K)->Record(R:Matrix(K),A:Matrix(K),Ainv:Matrix(K))`pPseudoLinearNormalForm(K)``874198
onormal`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``874446
onormalisePoint`1`n`(_$)->_$`dSConformal(n)``874489
onormalise`1`x`(Matrix(Expression(Integer)))->Matrix(Expression(Integer))`pRadicalEigenPackage``874582
onormalizeAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
onormalizeAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``874747
onormalizeIfCan`1`n`(ST)->ST`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``874819
onormalize`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``874927
onormalize`1`x`(List(F))->List(F)`pElementaryFunctionStructurePackage(R,F)``875047
onormalize`1`x`(_$)->_$`dFloat``875105
onormalize`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``875174
onormalize`2`x`(List(F),List(Symbol))->List(F)`pElementaryFunctionStructurePackage(R,F)``875245
onormalize`2`x`(P,TS)->List(Record(val:P,tower:TS))`pNormalizationPackage(R,E,V,P,TS)``875592
onormalized?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``875683
onormalized?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
onormalized?`2`n`(S,List(S))->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
onormalized?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``875860
onormalized?`2`x`(_$,List(_$))->Boolean`cRecursivePolynomialCategory(R,E,V)``876054
onormalized?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``876179
onormalizedAssociate`2`x`(P,TS)->P`pNormalizationPackage(R,E,V,P,TS)``876347
onormalizedDivide`2`n`(R,R)->Record(quotient:R,remainder:R)`pModularHermitianRowReduction(R)``876632
onormalizedDivide`2`x`(R,R)->Record(quotient:R,remainder:R)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`876835
onot`1`n`(S)->S`xBitAggregate&(S)``0
onot`1`n`(_$)->_$`dOutputForm``877038
onot`1`x`(_$)->_$`cBitAggregate``877094
onot`1`x`(_$)->_$`dBoolean``877172
onot`1`x`(_$)->_$`dSingleInteger``877226
onotelem`1`n`(_$)->List(Record(integrand:F,intvar:F))`dIntegrationResult(F)``877320
onpcoef`3`n`(SparseUnivariatePolynomial(P),List(BP),List(P))->Record(deter:List(SparseUnivariatePolynomial(P)),dterm:List(List(Record(expt:NonNegativeInteger,pcoef:P))),nfacts:List(BP),nlead:List(P))`pNPCoef(BP,E,OV,R,P)``877403
onrows`1`n`(S)->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
onrows`1`n`(_$)->NonNegativeInteger`dSparseEchelonMatrix(C,D)``877989
onrows`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)``878063
onrows`1`x`(_$)->NonNegativeInteger`cTwoDimensionalArrayCategory(R,Row,Col)``878137
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)``878209
onthCoef`2`x`(_$,Integer)->E`cFreeAbelianMonoidCategory(S,E)``878247
onthExpon`2`n`(_$,Integer)->E`dListMonoidOps(S,E,un)``878331
onthExpon`2`n`(_$,Integer)->Integer`dFreeGroup(S)``878417
onthExpon`2`n`(_$,Integer)->NonNegativeInteger`dFreeMonoid(S)``878503
onthExponent`2`x`(_$,Integer)->Integer`dFactored(R)``878589
onthFactor`2`n`(_$,Integer)->S`dFreeGroup(S)``878806
onthFactor`2`n`(_$,Integer)->S`dFreeMonoid(S)``878891
onthFactor`2`n`(_$,Integer)->S`dListMonoidOps(S,E,un)``878976
onthFactor`2`x`(_$,Integer)->R`dFactored(R)``879061
onthFactor`2`x`(_$,Integer)->S`cFreeAbelianMonoidCategory(S,E)``879343
onthFlag`2`x`(_$,Integer)->Union("nil","sqfr","irred","prime")`dFactored(R)``879424
onthFractionalTerm`2`x`(_$,Integer)->_$`dPartialFraction(R)``879649
onthRootIfCan`2`x`(K,NonNegativeInteger)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``879819
onthRoot`2`n`(Factored(M),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:M,radicand:List(M))`pFactoredFunctions(M)``879933
onthRoot`2`n`(S,Integer)->S`xRadicalCategory&(S)``0
onthRoot`2`n`(S,Integer)->S`xRealClosedField&(S)``0
onthRoot`2`x`(_$,Integer)->_$`cRadicalCategory``880244
onthr`2`n`(P,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:P,radicand:List(P))`pPolynomialRoots(E,V,R,P,F)``880315
onull?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``880374
onullBoundary`0`n`()->_$`dSBoundary(PT)``880455
onullSpaceOverConstants`2`n`(Matrix(F),List((F)->F))->List(Vector(F))`pConstantLinearDependence(R,F)``880580
onullSpace`1`n`(M)->List(Col)`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(Col,shallowlyMutable)`880724
onullSpace`1`n`(M)->List(Col)`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)`has(Col2,shallowlyMutable)`880810
onullSpace`1`n`(Matrix(R))->_$`dVectorSpaceBasis(R)``880896
onullSpace`1`x`(M)->List(Col)`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`881121
onullSpace`1`x`(_$)->List(Col)`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`881207
onullSpace`1`x`(_$)->List(Col)`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`881293
onull`1`x`(_$)->Boolean`dList(S)``881380
onullary?`1`x`(_$)->Boolean`dBasicOperator``881444
onullary`1`x`(A)->()->A`pMappingPackage1(A)``881502
onullity`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``881586
onullity`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`881719
onullity`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`881852
onullity`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`881985
onumDepVar`0`n`()->PositiveInteger`cJetBundleCategory``882118
onumDepVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumDepVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumFunEvals3D`0`n`()->Integer`dPlot3D``882185
onumFunEvals`0`n`()->Integer`dPlot``882254
onumIndVar`0`n`()->PositiveInteger`cJetBundleCategory``882320
onumIndVar`0`n`()->PositiveInteger`cJetBundleFunctionCategory(JB)``0
onumIndVar`0`n`()->PositiveInteger`xJetBundleFunctionCategory&(S,JB)``0
onumber?`1`x`(_$)->Boolean`dExpression(R)`has(R,IntegralDomain)`882389
onumberOfChildren`1`n`(_$)->NonNegativeInteger`dSubSpace(n,R)``882444
onumberOfComponents`0`n`()->NonNegativeInteger`xFunctionFieldCategory&(S,F,UP,UPUP)``882492
onumberOfComponents`0`x`()->NonNegativeInteger`cFunctionFieldCategory(F,UP,UPUP)``882584
onumberOfComponents`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``882676
onumberOfComposites`1`x`(_$)->NonNegativeInteger`cThreeSpaceCategory(R)``882871
onumberOfComputedEntries`1`x`(_$)->NonNegativeInteger`cLazyStreamAggregate(S)``883337
onumberOfCycles`1`x`(_$)->NonNegativeInteger`dPermutation(S)``883516
onumberOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``883618
onumberOfFactors`1`n`(List(Record(factor:UP,degree:Integer)))->NonNegativeInteger`pGaloisGroupFactorizer(UP)``883811
onumberOfFactors`1`x`(_$)->NonNegativeInteger`dFactored(R)``884100
onumberOfFractionalTerms`1`x`(_$)->Integer`dPartialFraction(R)``884186
onumberOfHues`0`x`()->PositiveInteger`dColor``884327
onumberOfImproperPartitions`2`x`(Integer,Integer)->Integer`pSymmetricGroupCombinatoricFunctions``884410
onumberOfIrreduciblePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``884932
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cFiniteAbelianMonoidRing(R,E)``885105
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cIndexedDirectProductCategory(A,S)``885203
onumberOfMonomials`1`x`(_$)->NonNegativeInteger`cMonoidRingCategory(R,M)``885283
onumberOfNormalPoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``885394
onumberOfPrimitivePoly`1`n`(PositiveInteger)->PositiveInteger`pFiniteFieldPolynomialPackage(GF)``885540
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumberOfVariables`2`x`(List(P),List(TS))->NonNegativeInteger`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
onumerJP`1`n`(_$)->SparseMultivariatePolynomial(Expression(Integer),JB)`dJetBundleExpression(JB)``885692
onumer`1`n`(_$)->A`dLocalAlgebra(A,R)``885763
onumer`1`n`(_$)->M`dLocalize(M,R)``885820
onumer`1`n`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dInnerAlgebraicNumber``885877
onumer`1`n`(_$)->Vector(A)`dFractionalIdeal(R,F,UP,A)``885987
onumer`1`x`(_$)->S`cQuotientFieldCategory(S)``886071
onumer`1`x`(_$)->SparseMultivariatePolynomial(Integer,Kernel(_$))`dAlgebraicNumber``886142
onumer`1`x`(_$)->SparseMultivariatePolynomial(R,Kernel(_$))`cFunctionSpace(R)`has(R,Ring)`886252
onumerator`1`n`(A)->A`xQuotientFieldCategory&(A,S)``0
onumerator`1`n`(S)->S`xFunctionSpace&(S,R)``0
onumerator`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``886491
onumerator`1`x`(_$)->_$`cFunctionSpace(R)`has(R,Ring)`886552
onumerator`1`x`(_$)->_$`cQuotientFieldCategory(S)``886630
onumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``886716
onumericIfCan`1`x`(Expression(S))->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`886914
onumericIfCan`1`x`(Fraction(Polynomial(S)))->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`887031
onumericIfCan`1`x`(Polynomial(S))->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`887148
onumericIfCan`2`x`(Expression(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887265
onumericIfCan`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,IntegralDomain)`887417
onumericIfCan`2`x`(Polynomial(S),PositiveInteger)->Union(Float,"failed")`pNumeric(S)`has(S,Ring)`887569
onumeric`1`x`(Expression(S))->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887721
onumeric`1`x`(Fraction(Polynomial(S)))->Float`pNumeric(S)`has(S,IntegralDomain)`887788
onumeric`1`x`(Polynomial(S))->Float`pNumeric(S)`has(S,Ring)`887855
onumeric`1`x`(S)->Float`pNumeric(S)``887922
onumeric`2`x`(Expression(S),PositiveInteger)->Float`pNumeric(S)`AND(has(S,IntegralDomain),has(S,OrderedSet))`887989
onumeric`2`x`(Fraction(Polynomial(S)),PositiveInteger)->Float`pNumeric(S)`has(S,IntegralDomain)`888091
onumeric`2`x`(Polynomial(S),PositiveInteger)->Float`pNumeric(S)`has(S,Ring)`888193
onumeric`2`x`(S,PositiveInteger)->Float`pNumeric(S)``888295
oobj`1`x`(_$)->None`dAny``888397
oobjectOf`1`x`(_$)->OutputForm`dAny``888549
oobjectToIndex`2`n`(A,S)->NonNegativeInteger`xPoset&(A,S)``0
oobjectToIndex`2`n`(_$,S)->NonNegativeInteger`cPoset(S)``888661
oobjects`1`x`(_$)->Record(points:NonNegativeInteger,curves:NonNegativeInteger,polygons:NonNegativeInteger,constructs:NonNegativeInteger)`cThreeSpaceCategory(R)``888704
ooblateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``888935
oocton`2`x`(Quaternion(R),Quaternion(R))->_$`dOctonion(R)``889282
oocton`8`x`(R,R,R,R,R,R,R,R)->_$`cOctonionCategory(R)``889393
oodd?`1`n`(S)->Boolean`xExpressionSpace&(S)``0
oodd?`1`x`(_$)->Boolean`cExpressionSpace`has(_$,RetractableTo(Integer))`889503
oodd?`1`x`(_$)->Boolean`cIntegerNumberSystem``889570
oodd?`1`x`(_$)->Boolean`dPermutation(S)``889644
ooddInfiniteProduct`1`x`(UTS)->UTS`pInfiniteLambertProduct(Coef,UTS)``889777
oodd_partitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``889928
oodd_partitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``890036
ooddintegers`1`n`(Integer)->Stream(Integer)`pStreamTaylorSeriesOperations(A)``890265
ooddlambert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``890335
ooddlambert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
ooddlambert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``890661
oode1`2`n`((UTS)->UTS,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891038
oode2`3`n`((UTS,UTS)->UTS,Coef,Coef)->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891128
oode`2`n`((List(UTS))->UTS,List(Coef))->UTS`pUnivariateTaylorSeriesODESolver(Coef,UTS)``891255
oomError`2`x`(OpenMathErrorKind,List(Symbol))->_$`dOpenMathError``891411
oomega`0`n`()->_$`dSmallOrdinal``891479
oomegapower`1`n`(_$)->_$`dSmallOrdinal``891531
oone?`1`n`(S)->Boolean`xJetBundleCategory&(S)``0
oone?`1`n`(S)->Boolean`xMagmaWithUnit&(S)``0
oone?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
oone?`1`n`(_$)->Boolean`cJetBundleCategory``891575
oone?`1`x`(_$)->Boolean`cMagmaWithUnit``891668
oone?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``891728
ooneDimensionalArray`1`x`(List(S))->_$`dOneDimensionalArray(S)``891834
ooneDimensionalArray`2`x`(NonNegativeInteger,S)->_$`dOneDimensionalArray(S)``891921
ooneSkeleton`1`n`(_$)->DirectedGraph(NonNegativeInteger)`dFiniteSimplicialComplex(VS)``892021
ooneSkeleton`1`n`(_$)->UndirectedGraph(NonNegativeInteger)`dDeltaComplex(VS)``892059
oone`1`n`(List(GuessOption))->Boolean`dGuessOptionFunctions0``892097
oone`1`x`(Boolean)->_$`dGuessOption``892187
oopType`1`n`(_$)->Symbol`dILogic``892312
oopType`1`n`(_$)->Symbol`dLatticeJoinOfMeets``892498
oopType`1`n`(_$)->Symbol`dLatticeMeetOfJoins``892684
oopen?`1`n`(_$)->Boolean`dTubePlot(Curve)``892870
oopen`1`x`(Name)->_$`cFileCategory(Name,S)``892945
oopen`2`x`(Name,String)->_$`cFileCategory(Name,S)``893009
ooperation`1`n`(_$)->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``893126
ooperator`1`n`(BasicOperator)->BasicOperator`pAlgebraicFunction(R,F)``893212
ooperator`1`n`(BasicOperator)->BasicOperator`pCombinatorialFunction(R,F)``893444
ooperator`1`n`(BasicOperator)->BasicOperator`pElementaryFunction(R,F)``893614
ooperator`1`n`(BasicOperator)->BasicOperator`pFunctionalSpecialFunction(R,F)``893704
ooperator`1`n`(BasicOperator)->BasicOperator`pLiouvillianFunction(R,F)``893876
ooperator`1`n`(BasicOperator)->BasicOperator`xExpressionSpace&(S)``893955
ooperator`1`n`(BasicOperator)->BasicOperator`xFunctionSpace&(S,R)``0
ooperator`1`n`(OutputForm)->OutputForm`pOutputFormTools``894067
ooperator`1`n`(Symbol)->BasicOperator`pCommonOperators``894181
ooperator`1`n`(_$)->BasicOperator`dKernel(S)``894359
ooperator`1`x`(BasicOperator)->BasicOperator`cExpressionSpace``894428
ooperator`1`x`(Symbol)->_$`dBasicOperator``894540
ooperator`2`x`(Symbol,NonNegativeInteger)->_$`dBasicOperator``894620
ooperators`1`n`(S)->List(BasicOperator)`xExpressionSpace&(S)``0
ooperators`1`x`(_$)->List(BasicOperator)`cExpressionSpace``894697
oopeval`2`n`(BasicOperator,R)->R`dOperator(R)``0
oopeval`2`x`(BasicOperator,M)->M`dModuleOperator(R,M)``894814
oopposite?`2`n`(S,S)->Boolean`xAbelianGroup&(S)``0
oopposite?`2`n`(S,S)->Boolean`xAbelianMonoid&(S)``0
oopposite?`2`x`(_$,_$)->Boolean`cAbelianMonoid``894867
oopposite`1`n`(A)->A`xPoset&(A,S)``0
oopposite`1`n`(_$)->_$`cPoset(S)``894953
ooption?`2`x`(List(_$),Symbol)->Boolean`dDrawOption``895041
ooption`2`n`(List(DrawOption),Symbol)->Union(S,"failed")`pDrawOptionFunctions1(S)``895242
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dDrawOption``895431
ooption`2`x`(List(_$),Symbol)->Union(Any,"failed")`dGuessOption``895574
ooptional?`1`n`(_$)->Boolean`dPattern(R)``895641
ooptional`1`x`(F)->F`pFunctionSpaceAssertions(R,F)``895745
ooptional`1`x`(Symbol)->Expression(Integer)`pPatternMatchAssertions``895919
ooptions`1`n`(_$)->List(DrawOption)`dTwoDimensionalViewport``896058
ooptions`1`x`(_$)->List(DrawOption)`dThreeDimensionalViewport``896286
ooptions`2`n`(_$,List(DrawOption))->_$`dTwoDimensionalViewport``896515
ooptions`2`x`(_$,List(DrawOption))->_$`dThreeDimensionalViewport``896810
ooptpair`1`n`(List(_$))->Union(List(_$),"failed")`dPattern(R)``897096
oor`2`n`(_$,_$)->_$`dOutputForm``897212
oor`2`x`(_$,_$)->_$`cBitAggregate``897268
oor`2`x`(_$,_$)->_$`dBoolean``897359
oorbit`2`x`(_$,List(S))->Set(List(S))`dPermutationGroup(S)``897453
oorbit`2`x`(_$,S)->Set(S)`cPermutationCategory(S)``897661
oorbit`2`x`(_$,S)->Set(S)`dPermutationGroup(S)``897850
oorbit`2`x`(_$,Set(S))->Set(Set(S))`dPermutationGroup(S)``898041
oorbits`1`x`(_$)->Set(Set(S))`dPermutationGroup(S)``898147
oord`1`x`(_$)->Integer`dCharacter``898282
oorderDim`3`n`(List(S),SparseEchelonMatrix(JB,S),NonNegativeInteger)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorderDim`3`n`(List(_$),SparseEchelonMatrix(JB,_$),NonNegativeInteger)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``898423
oorder`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pFindOrderFinite(F,UP,UPUP,R)``898642
oorder`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``898679
oorder`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(NonNegativeInteger,"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``898793
oorder`1`n`(S)->Integer`xFiniteGroup&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oorder`1`n`(S)->NonNegativeInteger`xJetBundleFunctionCategory&(S,JB)``0
oorder`1`n`(S)->OnePointCompletion(PositiveInteger)`xFiniteFieldCategory&(S)``0
oorder`1`n`(S)->PositiveInteger`xFiniteFieldCategory&(S)``0
oorder`1`n`(_$)->Integer`cFiniteGroup``898830
oorder`1`n`(_$)->Integer`dLaurentPolynomial(R,UP)``898901
oorder`1`n`(_$)->NonNegativeInteger`cFacetCategory``898938
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``898964
oorder`1`n`(_$)->NonNegativeInteger`cJetBundleFunctionCategory(JB)``899058
oorder`1`n`(_$)->NonNegativeInteger`dInnerTaylorSeries(Coef)``899157
oorder`1`n`(_$)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``899313
oorder`1`x`(_$)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``899394
oorder`1`x`(_$)->Integer`cFloatingPointSystem``899550
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``899670
oorder`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``899876
oorder`1`x`(_$)->NonNegativeInteger`cPAdicIntegerCategory(p)``899993
oorder`1`x`(_$)->NonNegativeInteger`dPermutation(S)``900089
oorder`1`x`(_$)->NonNegativeInteger`dPermutationGroup(S)``900176
oorder`1`x`(_$)->OnePointCompletion(PositiveInteger)`cFieldOfPrimeCharacteristic``900241
oorder`1`x`(_$)->PositiveInteger`cFiniteFieldCategory``900364
oorder`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oorder`2`n`(S,S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
oorder`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`dInnerTaylorSeries(Coef)``900500
oorder`2`x`(_$,Expon)->Expon`cUnivariatePowerSeriesCategory(Coef,Expon)``900587
oorder`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``900708
oorder`2`x`(_$,Var)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``900834
oorder`2`x`(_$,_$)->NonNegativeInteger`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`900989
oorder`3`n`(FiniteDivisor(F1,UP,UPUP,R),UPUP,(F1)->F2)->NonNegativeInteger`pReducedDivisor(F1,UP,UPUP,R,F2)``901156
oorder`3`x`(_$,Var,NonNegativeInteger)->NonNegativeInteger`cMultivariateTaylorSeriesCategory(Coef,Var)``901203
oordinalAdd`2`n`(_$,_$)->_$`dSmallOrdinal``901276
oordinalMul`2`n`(_$,_$)->_$`dSmallOrdinal``901366
oordinalPower`2`n`(_$,_$)->_$`dSmallOrdinal``901460
oorientedFacetIfCan`1`n`(List(_$))->Union(_$,"failed")`dOrientedFacet``901625
oorientedFacetSigned`1`n`(List(Integer))->_$`dOrientedFacet``901906
oorientedFacetUnsigned`1`n`(List(Integer))->_$`dOrientedFacet``902039
oorientedFacet`2`n`(Integer,List(NonNegativeInteger))->_$`dOrientedFacet``902125
oorientedFacet`2`n`(Integer,OrientedFacet)->_$`dOrientedFacet``902304
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(Fraction(R)))`cDistributionCategory(R)`AND(has(R,IntegralDomain),not(has(R,Field)))`902349
oorthogonalPolynomials`1`n`(_$)->Stream(SparseUnivariatePolynomial(R))`cDistributionCategory(R)`has(R,Field)`902434
oorthonormalBasis`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``902519
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xFiniteGraph&(A,S)``0
ooutDegree`2`n`(A,NonNegativeInteger)->NonNegativeInteger`xPoset&(A,S)``0
ooutDegree`2`n`(_$,NonNegativeInteger)->NonNegativeInteger`cFiniteGraph(S)``902684
oouterProduct`2`n`(S,S)->Matrix(R)`xVectorCategory&(S,R)``0
oouterProduct`2`x`(_$,_$)->Matrix(R)`cVectorCategory(R)`has(R,Ring)`902787
ooutlineRender`2`x`(_$,String)->Void`dThreeDimensionalViewport``902933
ooutputArgs`4`x`(String,String,P,TS)->Void`pNormalizationPackage(R,E,V,P,TS)``903338
ooutputAsFortran`1`n`(FileName)->Void`pFortranPackage``903445
ooutputAsFortran`1`n`(_$)->Void`cFortranProgramCategory``903495
ooutputAsFortran`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``903581
ooutputAsFortran`1`x`(OutputForm)->Void`pSpecialOutputPackage``903751
ooutputAsFortran`2`x`(String,OutputForm)->Void`pSpecialOutputPackage``903825
ooutputAsScript`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``903977
ooutputAsScript`1`x`(OutputForm)->Void`pSpecialOutputPackage``904165
ooutputAsTex`1`x`(List(OutputForm))->Void`pSpecialOutputPackage``904317
ooutputAsTex`1`x`(OutputForm)->Void`pSpecialOutputPackage``904478
ooutputFixed`0`x`()->Void`dFloat``904602
ooutputFixed`1`x`(NonNegativeInteger)->Void`dFloat``904717
ooutputFloating`0`x`()->Void`dFloat``904850
ooutputFloating`1`x`(NonNegativeInteger)->Void`dFloat``905033
ooutputForm`1`n`(Integer)->_$`dOutputForm``905188
ooutputForm`1`n`(String)->_$`dOutputForm``905254
ooutputForm`1`n`(Symbol)->_$`dOutputForm``905319
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariatePolynomial(R)``905384
ooutputForm`2`n`(_$,OutputForm)->OutputForm`dSparseUnivariateSkewPolynomial(R,sigma,delta)``905567
ooutputForm`4`n`(_$,(OutputForm,OutputForm)->OutputForm,(OutputForm,OutputForm)->OutputForm,Integer)->OutputForm`dListMonoidOps(S,E,un)``905689
ooutputGeneral`0`x`()->Void`dFloat``906283
ooutputGeneral`1`x`(NonNegativeInteger)->Void`dFloat``906474
ooutputList`1`x`(List(Any))->Void`pOutputPackage``906590
ooutputSpacing`1`x`(NonNegativeInteger)->Void`dFloat``906800
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlAttribute``906940
ooutputVRML`2`n`(_$,TextFile)->Void`dXmlElement``907218
ooutput`1`x`(OutputForm)->Void`pOutputPackage``907494
ooutput`1`x`(String)->Void`pOutputPackage``907642
ooutput`2`x`(String,OutputForm)->Void`pOutputPackage``907785
oover`2`n`(_$,_$)->_$`dOutputForm``907963
ooverbar`1`n`(_$)->_$`dOutputForm``908058
ooverlabel`2`n`(_$,_$)->_$`dOutputForm``908126
ooverlap`2`n`(_$,_$)->Record(lm:_$,mm:_$,rm:_$)`dFreeMonoid(S)``908221
ooverset?`2`n`(List(GR),List(List(GR)))->Boolean`pParametricLinearEquations(R,Var,Expon,GR)``908430
opToDmp`1`n`(Polynomial(R))->DistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``908573
opToHdmp`1`n`(Polynomial(R))->HomogeneousDistributedMultivariatePolynomial(lv,R)`pPolToPol(lv,R)``908659
opa_to_sup`1`n`(U32Vector)->SparseUnivariatePolynomial(Integer)`pU32VectorPolynomialOperations``908747
opack!`1`x`(_$)->_$`dKeyedAccessFile(Entry)``908822
opack!`1`x`(_$)->_$`dLibrary``908908
opack_exps0`4`n`(SortedExponentVector,List(Integer),Integer,Integer)->Void`dModularAlgebraicGcdTools3``908994
opack_exps`3`n`(Integer,Integer,MD)->SortedExponentVector`cModularAlgebraicGcdOperations(MP,MPT,MD)``909071
opack_modulus`3`n`(List(MP),List(Symbol),Integer)->Union(MD,"failed")`cModularAlgebraicGcdOperations(MP,MPT,MD)``909244
opackageCall`1`n`(Symbol)->InputForm`pInputFormFunctions1(R)``909407
opackageCall`2`n`(Symbol,List(InputForm))->InputForm`pInputFormFunctions1(R)``909496
opade`3`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``909623
opade`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(Fraction(UP),"failed")`pPadeApproximants(R,PS,UP)``909849
opade`4`x`(NonNegativeInteger,NonNegativeInteger,UnivariateTaylorSeries(R,x,pt),UnivariateTaylorSeries(R,x,pt))->Union(Fraction(UnivariatePolynomial(x,R)),"failed")`pPadeApproximantPackage(R,x,pt)``910161
opadecf`4`n`(NonNegativeInteger,NonNegativeInteger,PS,PS)->Union(ContinuedFraction(UP),"failed")`pPadeApproximants(R,PS,UP)``910483
opadicFraction`1`x`(_$)->_$`dPartialFraction(R)``910807
opadicallyExpand`2`x`(R,R)->SparseUnivariatePolynomial(R)`dPartialFraction(R)``911072
opair?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``911217
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))`911296
opalgLODE0`8`n`(L,F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Record(particular:Union(F,"failed"),basis:List(F))`pGenusZeroIntegration(R,F,L)`has(L,LinearOrdinaryDifferentialOperatorCategory(F))`911486
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))`911817
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)``911953
opalgRDE0`9`n`(F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->Union(F,"failed")`pGenusZeroIntegration(R,F,L)``912437
opalgRDE`6`n`(F,F,F,Kernel(F),Kernel(F),(F,F,Symbol)->Union(F,"failed"))->Union(F,"failed")`pPureAlgebraicIntegration(R,F,L)``913047
opalgint0`5`n`(F,Kernel(F),Kernel(F),F,SparseUnivariatePolynomial(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``913470
opalgint0`7`n`(F,Kernel(F),Kernel(F),Kernel(F),F,Fraction(SparseUnivariatePolynomial(F)),F)->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``913653
opalgint`3`n`(F,Kernel(F),Kernel(F))->IntegrationResult(F)`pPureAlgebraicIntegration(R,F,L)``914049
opalgintegrate`2`n`(R,(UP)->UP)->IntegrationResult(R)`pAlgebraicIntegrate(R0,F,UP,UPUP,R)``914180
oparabolicCylindrical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``914330
oparabolic`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``914578
oparaboloidal`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``914786
oparallel`2`n`(_$,_$)->DoubleFloat`cSPointCategory``915045
oparam_LODE`4`n`(List(F),List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``915253
oparam_RDE`4`n`(F,List(F),Kernel(F),Kernel(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F))`pPureAlgebraicIntegration(R,F,L)``915298
oparam_rde2`6`n`(F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``915342
oparam_rde`7`n`(Integer,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricRischDE(R,F)``915611
oparam_rde`8`n`(Integer,F,F,List(F),Symbol,List(Kernel(F)),(List(Kernel(F)),List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(List(Kernel(F)),List(F))->Record(logands:List(F),basis:List(Vector(Fraction(Integer)))))->Record(particular:Union(Record(ratpart:F,coeffs:Vector(F)),"failed"),basis:List(Record(ratpart:F,coeffs:Vector(F))))`pParametricRischDE(R,F)``915888
oparametersOf`1`n`(_$)->List(Symbol)`dSymbolTable``916225
oparametric?`1`n`(_$)->Boolean`dPlot``916314
oparen`1`n`(List(S))->S`xExpressionSpace&(S)``0
oparen`1`n`(List(_$))->_$`dOutputForm``916384
oparen`1`n`(S)->S`xExpressionSpace&(S)``0
oparen`1`n`(_$)->_$`dOutputForm``916512
oparen`1`x`(List(_$))->_$`cExpressionSpace``916587
oparen`1`x`(_$)->_$`cExpressionSpace``916886
oparent`1`n`(_$)->_$`dSubSpace(n,R)``917109
oparseIL2`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``917292
oparseILTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dILogic``917543
oparseIL`1`n`(String)->_$`dILogic``917692
oparseLambda`1`n`(String)->_$`dLambda(UT)``917904
oparseSki`1`n`(String)->_$`dSKICombinators(UT)``918489
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dLambda(UT)``918533
oparseTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`dSKICombinators(UT)``918690
oparseVarTerm`2`n`(String,NonNegativeInteger)->Record(rft:_$,pout:NonNegativeInteger)`cVarCat``918841
oparseVar`1`n`(String)->_$`cVarCat``918970
oparse_integer`1`n`(String)->Integer`pScanningUtilities``919018
oparse`1`n`(String)->_$`dInputForm``919097
opartialDenominators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``919179
opartialFraction`1`x`(Fraction(R))->_$`dPartialFraction(R)`has(R,UniqueFactorizationDomain)`919431
opartialFraction`2`x`(Fraction(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``919573
opartialFraction`2`x`(R,Factored(R))->_$`dPartialFraction(R)``919726
opartialFraction`3`x`(Polynomial(R),Factored(Polynomial(R)),Symbol)->Any`pPartialFractionPackage(R)``919892
opartialNumerators`1`x`(_$)->Stream(R)`dContinuedFraction(R)``920128
opartialQuotients`1`x`(_$)->Stream(R)`dContinuedFraction(R)``920374
oparticularSolutionOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``920631
oparticularSolutionOverConstants`3`n`(Vector(F),F,List((F)->F))->Union(Vector(F),"failed")`pConstantLinearDependence(R,F)``920842
oparticularSolutionOverQ`2`x`(Matrix(R),Vector(R))->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``921059
oparticularSolutionOverQ`2`x`(Vector(R),R)->Union(Vector(Fraction(Integer)),"failed")`pIntegerLinearDependence(R)``921256
oparticularSolution`1`n`(UP)->F`pPolynomialSolveByFormulas(UP,F)``921458
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`921508
oparticularSolution`2`n`(Matrix(R),Vector(R))->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`921722
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(Fraction(S)),"failed")`pLinearDependence(S,R)`NOT(has(S,Field))`921914
oparticularSolution`2`n`(Vector(R),R)->Union(Vector(S),"failed")`pLinearDependence(S,R)`has(S,Field)`922128
oparticularSolution`2`x`(M,Col)->Union(Col,"failed")`pLinearSystemMatrixPackage(F,Row,Col,M)``922320
oparticularSolution`2`x`(Matrix(F),Vector(F))->Union(Vector(F),"failed")`pLinearSystemMatrixPackage1(F)``922425
oparticularSolution`4`n`(LODO,F,List(F),(F)->F)->Union(F,"failed")`pODETools(F,LODO)``922530
opartition`1`n`(List(Integer))->_$`dPartition``922874
opartition`1`x`(I)->I`pIntegerCombinatoricFunctions(I)``922962
opartitions`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``923143
opartitions`2`x`(Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``923216
opartitions`3`x`(Integer,Integer,Integer)->Stream(List(Integer))`pPartitionsAndPermutations``923391
oparts`1`n`(A)->List(S)`xOneDimensionalArrayAggregate&(A,S)``0
oparts`1`n`(A)->List(S)`xRecursiveAggregate&(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`(_$)->List(R)`cTwoDimensionalArrayCategory(R,Row,Col)``923599
oparts`1`x`(_$)->List(S)`cHomogeneousAggregate(S)`has(_$,finiteAggregate)`923684
opascalTriangle`2`n`(NonNegativeInteger,Integer)->R`pGaloisGroupUtilities(R)``923841
opastel`1`x`(Color)->_$`dPalette``923994
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)``924090
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)``924357
opatternMatch`3`n`(CS,Pattern(R),PatternMatchResult(R,CS))->PatternMatchResult(R,CS)`pComplexPatternMatch(R,S,CS)`has(Polynomial(S),PatternMatchable(R))`924675
opatternMatch`3`n`(F,Pattern(S),PatternMatchResult(S,F))->PatternMatchResult(S,F)`pPatternMatchFunctionSpace(S,R,F)``924880
opatternMatch`3`n`(I,Pattern(Integer),PatternMatchResult(Integer,I))->PatternMatchResult(Integer,I)`pPatternMatchIntegerNumberSystem(I)``925075
opatternMatch`3`n`(Kernel(E),Pattern(S),PatternMatchResult(S,E))->PatternMatchResult(S,E)`pPatternMatchKernel(S,E)``925261
opatternMatch`3`n`(L,Pattern(S),PatternMatchListResult(S,R,L))->PatternMatchListResult(S,R,L)`pPatternMatchListAggregate(S,R,L)``925469
opatternMatch`3`n`(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)`has(V,PatternMatchable(S))`925652
opatternMatch`3`n`(Q,Pattern(S),PatternMatchResult(S,Q))->PatternMatchResult(S,Q)`pPatternMatchQuotientFieldCategory(S,R,Q)``925841
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)``926032
opatternMatch`3`x`(_$,Pattern(S),PatternMatchResult(S,_$))->PatternMatchResult(S,_$)`cPatternMatchable(S)``926253
opatternMatch`4`n`(P,Pattern(S),PatternMatchResult(S,P),(V,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchPolynomialCategory(S,E,V,R,P)``926562
opatternMatch`5`n`(List(P),List(Pattern(S)),(List(P))->P,PatternMatchResult(S,P),(P,Pattern(S),PatternMatchResult(S,P))->PatternMatchResult(S,P))->PatternMatchResult(S,P)`pPatternMatchTools(S,R,P)``926825
opatternVariable`4`n`(Symbol,Boolean,Boolean,Boolean)->_$`dPattern(R)``927214
opattern`1`x`(_$)->Pattern(Base)`dRewriteRule(Base,R,F)``927411
opdct`1`n`(_$)->Integer`dPartition``927514
operfectNthPower?`2`x`(I,NonNegativeInteger)->Boolean`pIntegerRoots(I)``927663
operfectNthRoot`1`x`(I)->Record(base:I,exponent:NonNegativeInteger)`pIntegerRoots(I)``927784
operfectNthRoot`2`x`(I,NonNegativeInteger)->Union(I,"failed")`pIntegerRoots(I)``927950
operfectSqrt`1`x`(I)->Union(I,"failed")`pIntegerRoots(I)``928093
operfectSquare?`1`x`(I)->Boolean`pIntegerRoots(I)``928221
operm_to_vec`3`x`(List(S),Permutation(S),NonNegativeInteger)->Vector(NonNegativeInteger)`dPermutationGroup(S)``928332
opermanent`1`x`(SquareMatrix(n,R))->R`pPermanent(n,R)``928411
opermutationGroup`1`x`(List(Permutation(S)))->_$`dPermutationGroup(S)``929679
opermutationRepresentation`1`n`(G)->Permutation(Integer)`pFiniteGroupPackage(G)``929791
opermutationRepresentation`1`x`(List(Integer))->Matrix(Integer)`pRepresentationPackage1(R)``929903
opermutationRepresentation`1`x`(List(List(Integer)))->List(Matrix(Integer))`pRepresentationPackage1(R)``930123
opermutationRepresentation`2`x`(List(Permutation(Integer)),Integer)->List(Matrix(Integer))`pRepresentationPackage1(R)``930391
opermutationRepresentation`2`x`(Permutation(Integer),Integer)->Matrix(Integer)`pRepresentationPackage1(R)``930636
opermutation`2`n`(F,F)->F`pCombinatorialFunction(R,F)``930825
opermutation`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
opermutation`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``930992
opermutation`2`x`(_$,_$)->_$`cCombinatorialFunctionCategory``931141
opermutations`1`x`(Integer)->Stream(List(Integer))`pPartitionsAndPermutations``931302
operpendicular`2`n`(_$,_$)->_$`cSPointCategory``931420
operspective`2`x`(_$,String)->Void`dThreeDimensionalViewport``931629
ophiCoord`1`n`(Point(R))->R`pPointPackage(R)``931884
ophysicalLength!`2`n`(_$,Integer)->_$`dIndexedFlexibleArray(S,mn)``932140
ophysicalLength!`2`x`(_$,Integer)->_$`dFlexibleArray(S)``0
ophysicalLength`1`n`(_$)->NonNegativeInteger`dIndexedFlexibleArray(S,mn)``932260
ophysicalLength`1`x`(_$)->NonNegativeInteger`dFlexibleArray(S)``0
opi`0`n`()->F`pElementaryFunction(R,F)``932362
opi`0`n`()->S`xComplexCategory&(S,R)``0
opi`0`n`()->S`xTranscendentalFunctionCategory&(S)``0
opi`0`n`()->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``932419
opi`0`x`()->_$`cTranscendentalFunctionCategory``932560
opi`0`x`()->_$`dPi``932618
opile`1`n`(List(_$))->_$`dOutputForm``932678
opivot`2`n`(_$,Integer)->Record(Index:C,Entry:D)`dSparseEchelonMatrix(C,D)``932878
opivots`1`n`(_$)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``933010
oplenaryPower`2`n`(S,PositiveInteger)->S`xNonAssociativeAlgebra&(S,R)``0
oplenaryPower`2`x`(_$,PositiveInteger)->_$`cNonAssociativeAlgebra(R)``933114
opleskenSplit`2`n`(UP,R)->Factored(UP)`pComplexRootFindingPackage(R,UP)``933275
opleskenSplit`3`n`(UP,R,Boolean)->Factored(UP)`pComplexRootFindingPackage(R,UP)``933663
oplotPolar`1`n`((DoubleFloat)->DoubleFloat)->_$`dPlot``934136
oplotPolar`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``934363
oplotPolar`2`n`(S,Symbol)->Plot`pPlotFunctions1(S)``934586
oplotPolar`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``934699
oplot`2`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``934821
oplot`2`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat))->_$`dPlot``934915
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``935054
oplot`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``935095
oplot`3`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot``935136
oplot`3`n`((DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``935287
oplot`3`n`(List((DoubleFloat)->DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``935448
oplot`3`n`(S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``935654
oplot`4`n`(S,S,Symbol,Segment(DoubleFloat))->Plot`pPlotFunctions1(S)``935739
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat))->_$`dPlot3D``935869
oplot`5`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``936055
oplot`8`n`((DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``936320
oplus!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``936395
oplusInfinity`0`x`()->OrderedCompletion(Integer)`pInfinity``936591
oplusInfinity`0`x`()->_$`dOrderedCompletion(R)``936643
oplus`2`n`(_$,_$)->_$`dListMonoidOps(S,E,un)``936691
oplus`2`n`(_$,_$)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`936811
oplus`3`n`(S,E,_$)->_$`dListMonoidOps(S,E,un)``936912
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))`937041
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))`937263
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))`937399
opoint?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``937556
opointColorDefault`0`x`()->Palette`pViewDefaultsPackage``937720
opointColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``937808
opointColorPalette`2`n`(List(DrawOption),Palette)->Palette`pDrawOptionFunctions0``937918
opointColor`1`x`(Float)->_$`dDrawOption``938147
opointColor`1`x`(Palette)->_$`dDrawOption``938290
opointData`1`n`(_$)->List(Point(R))`dSubSpace(n,R)``938461
opointList`1`n`(_$)->List(PT)`dSceneIFS(PT)``938581
opointList`1`x`(_$)->List(S)`dPermutationGroup(S)``938650
opointLists`1`n`(_$)->List(List(Point(DoubleFloat)))`dGraphImage``938710
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``938872
opointPlot`2`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``939063
opointPlot`4`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``939233
opointPlot`5`n`((DoubleFloat)->Point(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``939517
opointSizeDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``939578
opointSizeDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``939668
opoint`1`x`(List(R))->_$`cPointCategory(R)``939768
opoint`1`x`(Point(R))->_$`cThreeSpaceCategory(R)``939881
opoint`1`x`(_$)->Point(R)`cThreeSpaceCategory(R)``940001
opoint`2`x`(_$,List(R))->_$`cThreeSpaceCategory(R)``940181
opoint`2`x`(_$,NonNegativeInteger)->_$`cThreeSpaceCategory(R)``940440
opoint`2`x`(_$,Point(R))->_$`cThreeSpaceCategory(R)``940605
opoint`3`n`(_$,Point(DoubleFloat),Palette)->Void`dGraphImage``940850
opoint`4`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTubePlotTools``941208
opoints`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``941456
opoissonDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``941726
opoisson`1`n`(Fraction(Integer))->()->Integer`pRandomIntegerDistributions``941817
opolCase`3`n`(Z,NonNegativeInteger,List(Z))->Boolean`pLeadingCoefDetermination(OV,E,Z,P)``941856
opol`1`n`(Vector(GF))->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``942334
opolarCoordinates`1`n`(S)->Record(r:R,phi:R)`xComplexCategory&(S,R)``0
opolarCoordinates`1`x`(_$)->Record(r:R,phi:R)`cComplexCategory(R)`AND(has(R,RealNumberSystem),has(R,TranscendentalFunctionCategory))`942447
opolar`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``942562
opole?`1`n`(_$)->Boolean`dInnerTaylorSeries(Coef)``942777
opole?`1`x`(_$)->Boolean`cPowerSeriesCategory(Coef,Expon,Var)``942916
opolyPart`1`x`(_$)->UP`dFullPartialFractionExpansion(F,UP)``942991
opolyRicDE`2`n`(L,(UP)->List(F))->List(Record(poly:UP,eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``943058
opolyRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Record(poly:UP,eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``943463
opoly_factor`1`n`(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))->Factored(SparseUnivariatePolynomial(SparseMultivariatePolynomial(R,Kernel(F))))`pExpressionFactorPolynomial(R,F)``943883
opoly_int`3`n`(Fraction(SparseUnivariatePolynomial(F)),Kernel(F),Symbol)->Record(answer:Fraction(SparseUnivariatePolynomial(F)),logpart:Fraction(SparseUnivariatePolynomial(F)),ir:IntegrationResult(Fraction(SparseUnivariatePolynomial(F))))`pDenominatorIntegration(R,F)``943945
opolygamma`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``944007
opolygamma`2`x`(NonNegativeInteger,Complex(DoubleFloat))->Complex(DoubleFloat)`pDoubleFloatSpecialFunctions``944103
opolygamma`2`x`(NonNegativeInteger,DoubleFloat)->DoubleFloat`pDoubleFloatSpecialFunctions``944187
opolygamma`2`x`(_$,_$)->_$`cSpecialFunctionCategory``944271
opolygon?`1`x`(_$)->Boolean`cThreeSpaceCategory(R)``944411
opolygon`1`x`(List(Point(R)))->_$`cThreeSpaceCategory(R)``944561
opolygon`1`x`(_$)->List(Point(R))`cThreeSpaceCategory(R)``944756
opolygon`2`x`(_$,List(List(R)))->_$`cThreeSpaceCategory(R)``944985
opolygon`2`x`(_$,List(Point(R)))->_$`cThreeSpaceCategory(R)``945356
opolylog`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``945535
opolylog`2`x`(_$,_$)->_$`cSpecialFunctionCategory``945616
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``945698
opolynomial`2`x`(_$,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``945822
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cMultivariateTaylorSeriesCategory(Coef,Var)``945946
opolynomial`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Polynomial(Coef)`cUnivariateTaylorSeriesCategory(Coef)``946100
opolyred`1`n`(UPUP)->UPUP`pPointsOfFiniteOrderTools(UP,UPUP)``946254
opomopo!`4`n`(S,R,E,S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
opomopo!`4`x`(_$,R,E,_$)->_$`cFiniteAbelianMonoidRing(R,E)``946293
opop!`1`x`(_$)->S`cStackAggregate(S)``946461
opopFortranOutputStack`0`n`()->Void`pFortranOutputStackPackage``946673
oposetL7`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``946741
oposetM5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``946804
oposetN5`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``946867
oposetO6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``946930
oposetP6`1`n`(List(S))->FiniteBiCPO(S)`pPosetFactory(S)``946993
oposition!`2`x`(_$,SingleInteger)->SingleInteger`dBinaryFile``947056
oposition`1`x`(_$)->NonNegativeInteger`cCachableSet``947132
oposition`1`x`(_$)->SingleInteger`dBinaryFile``947211
oposition`2`n`((S)->Boolean,A)->Integer`xLinearAggregate&(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`xLinearAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xListAggregate&(A,S)``0
oposition`2`n`(S,A)->Integer`xOneDimensionalArrayAggregate&(A,S)``0
oposition`2`n`(_$,List(_$))->Integer`dCubicalFacet``947293
oposition`2`n`(_$,List(_$))->Integer`dOrientedFacet``947400
oposition`2`x`((S)->Boolean,_$)->Integer`cLinearAggregate(S)`has(_$,finiteAggregate)`947507
oposition`2`x`(S,_$)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`947696
oposition`3`n`(S,A,Integer)->Integer`xLinearAggregate&(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,_$,Integer)->Integer`cStringAggregate``947855
oposition`3`x`(S,_$,Integer)->Integer`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`947986
oposition`3`x`(_$,_$,Integer)->Integer`cStringAggregate``948177
opositive?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
opositive?`1`n`(S)->Boolean`xOrderedRing&(S)``0
opositive?`1`x`(_$)->Boolean`cIntervalCategory(R)``948324
opositive?`1`x`(_$)->Boolean`cOrderedRing``948439
opositive?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
opositive?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``948517
opositivePower`2`n`(S,Integer)->S`xMatrixCategory&(S,R,Row,Col)``0
opositivePower`2`x`(_$,Integer)->_$`cMatrixCategory(R,Row,Col)`has(R,SemiRng)`948617
opositiveRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``948748
opositiveSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``948874
opositiveSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``948970
opositiveSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``949096
opositiveSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``949192
opossibleOrder`1`n`(FiniteDivisor(F,UP,UPUP,R))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``0
opossiblyInfinite?`1`n`(A)->Boolean`xLazyStreamAggregate&(A,S)``0
opossiblyInfinite?`1`n`(A)->Boolean`xStreamAggregate&(A,S)``0
opossiblyInfinite?`1`x`(_$)->Boolean`cStreamAggregate(S)``950049
opossiblyNewVariety?`2`n`(List(P),List(List(P)))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``950248
opostfix`2`n`(_$,_$)->_$`dOutputForm``950417
opowToUPS`2`n`(List(FE),Record(pos_Check?:Boolean,atan_Flag:Union("complex","real: two sides","real: left side","real: right side","just do it"),coeff_check?:Union((FE)->Boolean,"none"),inv_check?:Union((FE)->Boolean,"none"),zero_check?:Union((FE)->Boolean,"none"),log_x_replace:Boolean,log_x_val:FE))->Union(%series:UPS,%problem:Record(func:String,prob:String))`pFunctionSpaceToUnivariatePowerSeries2(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)``950493
opow`0`n`()->PrimitiveArray(_$)`dModMonic(R,Rep)``950548
opow`4`n`(U32Vector,PositiveInteger,NonNegativeInteger,Integer)->U32Vector`pU32VectorPolynomialOperations``950582
opower!`5`n`(Matrix(R),Matrix(R),Matrix(R),Matrix(R),NonNegativeInteger)->Matrix(R)`pStorageEfficientMatrixOperations(R)``950731
opowerAssociative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``951016
opowerSetStructure`1`n`(S)->_$`cPoset(S)``951122
opowerSum`1`x`(Integer)->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``951308
opower_matrix`3`n`(U32Vector,NonNegativeInteger,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Record(matr:U32Matrix,poly:U32Vector)`pModularFactorization``0
opower`2`n`(A,Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Field)`951396
opowern`2`n`(Fraction(Integer),Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)`has(A,Algebra(Fraction(Integer)))`951488
opowers`1`n`(List(Integer))->List(List(Integer))`dPartition``951569
opowerset`1`n`(List(S))->FiniteBiCPO(List(S))`pPosetFactory(S)``951863
opowmod`3`n`(S,S,S)->S`xIntegerNumberSystem&(S)``0
opowmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``951969
opquo`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``952054
opquo`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
opquo`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``952209
opr2dmp`1`n`(Polynomial(R))->GR`pParametricLinearEquations(R,Var,Expon,GR)``952348
opre_gauss`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``952407
opre_lr`3`n`(Matrix(Integer),Vector(Integer),Vector(Integer))->Matrix(Integer)`pUnitGaussianElimination``952557
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dRegularTriangularSet(R,E,V,P)``952772
opre_process`3`x`(List(P),Boolean,Boolean)->Record(val:List(P),towers:List(_$))`dSquareFreeRegularTriangularSet(R,E,V,P)``952875
opre_smith`1`n`(Matrix(Integer))->Matrix(Integer)`pUnitGaussianElimination``952978
oprecision`0`n`()->PositiveInteger`dMachineFloat``953105
oprecision`0`x`()->PositiveInteger`cFloatingPointSystem``953173
oprecision`1`n`(PositiveInteger)->PositiveInteger`dMachineFloat``953237
oprecision`1`x`(PositiveInteger)->PositiveInteger`cFloatingPointSystem`has(_$,arbitraryPrecision)`953315
oprecondition`1`n`(OutputForm)->OutputForm`pOutputFormTools``953400
opredicate`1`n`(Pattern(R))->(D)->Boolean`pPatternFunctions1(R,D)``953460
opredicates`1`n`(_$)->List(Any)`dPattern(R)``953613
oprefix?`2`n`(S,S)->Boolean`xStringAggregate&(S)``0
oprefix?`2`x`(_$,_$)->Boolean`cStringAggregate``953755
oprefixRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``953935
oprefix`2`n`(_$,List(_$))->_$`dOutputForm``954153
oprem`2`n`(S,S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)``954303
oprem`3`n`(S,S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprem`3`x`(_$,_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``954459
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pQuasiComponentPackage(R,E,V,P,TS)``954599
oprepareDecompose`4`x`(List(P),List(TS),Boolean,Boolean)->List(Record(eq:List(P),tower:TS,ineq:List(P)))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``954714
oprepareSubResAlgo`3`x`(P,P,TS)->List(Record(val:List(P),tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``954829
opresub`2`n`(_$,_$)->_$`dOutputForm``954938
opresuper`2`n`(_$,_$)->_$`dOutputForm``955023
opretendOfType`1`n`(InputForm)->InputForm`pInputFormFunctions1(R)``955112
oprevPrime`1`x`(I)->I`pIntegerPrimesPackage(I)``955202
oprevious`1`x`(_$)->_$`cDoublyLinkedAggregate(S)``955286
oprimPartElseUnitCanonical!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`955458
oprimPartElseUnitCanonical`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimPartElseUnitCanonical`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`955560
oprimaryDecomp`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->List(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))`pIdealDecompositionPackage(vl)``955708
oprime?`1`n`(S)->Boolean`xComplexCategory&(S,R)``0
oprime?`1`n`(S)->Boolean`xField&(S)``0
oprime?`1`n`(S)->Boolean`xIntegerNumberSystem&(S)``0
oprime?`1`n`(S)->Boolean`xUniqueFactorizationDomain&(S)``0
oprime?`1`x`(Complex(Integer))->Boolean`pGaussianFactorizationPackage``955824
oprime?`1`x`(I)->Boolean`pIntegerPrimesPackage(I)``955905
oprime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``957110
oprime?`1`x`(_$)->Boolean`cUniqueFactorizationDomain``957172
oprimeFactor`2`x`(R,Integer)->_$`dFactored(R)``957336
oprimeFrobenius`1`n`(S)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`1`x`(_$)->_$`cFieldOfPrimeCharacteristic``957487
oprimeFrobenius`2`n`(S,NonNegativeInteger)->S`xFieldOfPrimeCharacteristic&(S)``0
oprimeFrobenius`2`x`(_$,NonNegativeInteger)->_$`cFieldOfPrimeCharacteristic``957578
oprime`1`n`(_$)->_$`dOutputForm``957676
oprime`2`n`(_$,NonNegativeInteger)->_$`dOutputForm``957768
oprimes`2`x`(I,I)->List(I)`pIntegerPrimesPackage(I)``957851
oprimextint`4`n`((UP)->UP,(List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:Fraction(UP),coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``957942
oprimintegrate`4`n`(Fraction(UP),(UP)->UP,(Fraction(UP))->Record(answer:Fraction(UP),logpart:Fraction(UP),ir:IntegrationResult(Fraction(UP))),(F)->Union(Record(ratpart:F,coeff:F),"failed"))->Record(answer:IntegrationResult(Fraction(UP)),a0:F)`pTranscendentalIntegration(F,UP)``958209
oprimitive?`1`n`(S)->Boolean`xFiniteFieldCategory&(S)``0
oprimitive?`1`n`(SparseUnivariatePolynomial(GF))->Boolean`pFiniteFieldPolynomialPackage(GF)``958421
oprimitive?`1`x`(_$)->Boolean`cFiniteFieldCategory``958570
oprimitiveElement`0`x`()->_$`cFiniteFieldCategory``958814
oprimitiveElement`1`x`(List(F))->Record(primelt:F,poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)``959014
oprimitiveElement`2`n`(List(Polynomial(F)),List(Symbol))->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``959300
oprimitiveElement`2`x`(F,F)->Record(primelt:F,pol1:SparseUnivariatePolynomial(F),pol2:SparseUnivariatePolynomial(F),prim:SparseUnivariatePolynomial(F))`pFunctionSpacePrimitiveElement(R,F)`has(F,AlgebraicallyClosedField)`959753
oprimitiveElement`3`n`(List(Polynomial(F)),List(Symbol),Symbol)->Record(coef:List(Integer),poly:List(SparseUnivariatePolynomial(F)),prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``960107
oprimitiveElement`4`n`(Polynomial(F),Symbol,Polynomial(F),Symbol)->Record(coef1:Integer,coef2:Integer,prim:SparseUnivariatePolynomial(F))`pPrimitiveElement(F)``960565
oprimitiveMonomials`1`n`(S)->List(S)`xMaybeSkewPolynomialCategory&(S,R,E,VarSet)``0
oprimitiveMonomials`1`n`(_$)->List(_$)`cMaybeSkewPolynomialCategory(R,E,VarSet)`has(R,SemiRing)`960945
oprimitivePart!`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oprimitivePart!`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,GcdDomain)`961146
oprimitivePart`1`n`(S)->S`xFiniteAbelianMonoidRing&(S,R,E)``0
oprimitivePart`1`n`(S)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oprimitivePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`1`n`(S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
oprimitivePart`1`x`(_$)->_$`cFiniteAbelianMonoidRing(R,E)`has(R,GcdDomain)`961219
oprimitivePart`1`x`(_$)->_$`cFunctionFieldCategory(F,UP,UPUP)``961342
oprimitivePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`961465
oprimitivePart`2`n`(S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oprimitivePart`2`n`(UP,R)->UP`pSubResultantPackage(R,UP)`has(R,EuclideanDomain)`961589
oprimitivePart`2`x`(_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`961788
oprimitiveRowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(Fraction(D)),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`961955
oprinb`1`n`(Integer)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``962337
oprincipal?`1`n`(S)->Boolean`xFiniteDivisorCategory&(S,F,UP,UPUP,R)``0
oprincipal?`1`x`(_$)->Boolean`cFiniteDivisorCategory(F,UP,UPUP,R)``962371
oprincipalIdeal`1`n`(List(S))->Record(coef:List(S),generator:S)`xEuclideanDomain&(S)``0
oprincipalIdeal`1`x`(List(_$))->Record(coef:List(_$),generator:_$)`cPrincipalIdealDomain``962451
oprincipalSubResultantSet`2`n`(SparseUnivariatePolynomial(Polynomial(TheField)),SparseUnivariatePolynomial(Polynomial(TheField)))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oprindINFO`6`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol),Dpol,Dpol,Integer,Integer,Integer)->Integer`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``962681
oprinpolINFO`1`n`(List(Dpol))->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``962719
oprinshINFO`1`n`(Dpol)->Void`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``962759
oprintCode`1`n`(_$)->Void`dFortranCode``962798
oprintHeader`0`n`()->Void`dTheSymbolTable``962866
oprintHeader`1`n`(Symbol)->Void`dTheSymbolTable``963014
oprintHeader`2`n`(Symbol,_$)->Void`dTheSymbolTable``963160
oprintInfo!`2`n`(String,String)->Void`pTabulatedComputationPackage(Key,Entry)``963306
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintInfo`2`x`(List(Record(val:List(P),tower:TS)),NonNegativeInteger)->Void`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
oprintStatement`1`n`(List(OutputForm))->_$`dFortranCode``963522
oprintStats!`0`n`()->Void`pTabulatedComputationPackage(Key,Entry)``963601
oprintSys`1`n`(List(D))->OutputForm`dJetDifferentialEquation(JB,D)``963652
oprintTypes`1`n`(Symbol)->Void`dTheSymbolTable``963806
oprintTypes`1`n`(_$)->Void`dSymbolTable``963927
oprint`1`n`(_$)->Void`dOutputForm``964048
oprint`1`x`(OutputForm)->Void`pPrintPackage``964097
oprintingInfo?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``964208
oprobablyZeroDim?`1`n`(List(P))->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``964328
oprocessTemplate`1`n`(FileName)->FileName`dFortranTemplate``964502
oprocessTemplate`2`n`(FileName,FileName)->FileName`dFortranTemplate``964629
oprod`1`n`(_$)->_$`dOutputForm``964742
oprod`2`n`(_$,_$)->_$`dOutputForm``964830
oprod`3`n`(_$,_$,_$)->_$`dOutputForm``964950
oprodiag`1`n`(Stream(Stream(A)))->Stream(A)`pStreamTaylorSeriesOperations(A)``965111
oproductFacet`2`n`(Integer,List(Record(left:NonNegativeInteger,right:NonNegativeInteger)))->_$`dProductFacet``965356
oproductFacet`2`n`(Integer,ProductFacet)->_$`dProductFacet``965393
oproduct`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``965441
oproduct`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``965549
oproduct`2`n`(_$,_$)->List(ProductFacet)`dOrientedFacet``965705
oproduct`2`n`(_$,_$)->_$`dCubicalFacet``966195
oproduct`2`n`(_$,_$)->_$`dFiniteCubicalComplex(VS)``966315
oproduct`2`n`(_$,_$)->_$`dFiniteSimplicialComplex(VS)``966362
oproduct`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``966846
oproduct`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``966954
oproduct`2`x`(_$,_$)->_$`cGradedAlgebra(R,E)``967110
oproduct`2`x`(_$,_$)->_$`dCartesianTensor(minix,dim,R)``967597
oproduct`3`n`(_$,_$,NonNegativeInteger)->_$`dXPBWPolynomial(VarSet,R)``967881
oproject`2`n`(_$,NonNegativeInteger)->_$`dJetDifferentialEquation(JB,D)``967969
oprojectionSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``968121
oprojection`1`n`(_$)->Union(_$,"failed")`dCell(TheField)``968183
oprojectiveSpace`1`n`(Integer)->DeltaComplex(VS)`pDeltaComplexFactory(VS)``968259
oprojectiveSpace`1`n`(Integer)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``968303
oprojectiveSpace`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``968597
oprolateSpheroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``968885
oprologue`1`x`(_$)->List(String)`dScriptFormulaFormat``969235
oprologue`1`x`(_$)->List(String)`dTexFormat``969323
oprolongMV`1`n`(Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger)))->Record(Rank:NonNegativeInteger,NumMultVar:NonNegativeInteger,Betas:List(NonNegativeInteger))`dJetDifferentialEquation(JB,D)``969403
oprolongSymbol`1`n`(SparseEchelonMatrix(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``969527
oprolong`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``969603
oprolong`2`n`(_$,NonNegativeInteger)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``969739
oprolong`2`n`(_$,NonNegativeInteger)->_$`dJetVectorField(JB,D)``969868
oproperties`1`x`(_$)->AssociationList(Symbol,None)`dBasicOperator``969996
oproperty`2`x`(_$,Symbol)->Union(None,"failed")`dBasicOperator``970097
oproposition`1`n`(String)->_$`dILogic``970226
opseudoDivide`2`n`(S,S)->Record(coef:R,quotient:S,remainder:S)`xUnivariatePolynomialCategory&(S,R)``0
opseudoDivide`2`n`(S,S)->Record(quotient:S,remainder:S)`xRecursivePolynomialCategory&(S,R,E,V)``0
opseudoDivide`2`x`(_$,_$)->Record(coef:R,quotient:_$,remainder:_$)`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`970258
opseudoDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cRecursivePolynomialCategory(R,E,V)``970457
opseudoQuotient`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoQuotient`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`970670
opseudoRem`3`n`(MPT,MPT,MD)->MPT`cModularAlgebraicGcdOperations(MP,MPT,MD)``970864
opseudoRemainder`2`n`(S,S)->S`xUnivariatePolynomialCategory&(S,R)``0
opseudoRemainder`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`970967
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)``971215
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)``971344
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)``971497
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)``971651
opsolve`2`n`(Matrix(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``971799
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)``972029
opsolve`3`n`(Matrix(GR),List(GR),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``972206
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)``972448
opsolve`3`n`(Matrix(GR),List(Symbol),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``972626
opsolve`3`n`(Matrix(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``972869
opsolve`4`n`(Matrix(GR),List(GR),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``973081
opsolve`4`n`(Matrix(GR),List(Symbol),PositiveInteger,String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``973340
optFunc`4`n`((DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat)->DoubleFloat,(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pMeshCreationRoutinesForThreeDimensions``973607
optree`1`x`(S)->_$`dPendantTree(S)``973709
optree`2`x`(_$,_$)->_$`dPendantTree(S)``973756
opuiseux`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``973798
opuiseux`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``973981
opuiseux`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``974051
opuiseux`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``974166
opuiseux`2`x`(Fraction(Integer),ULS)->_$`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``974411
opuiseux`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``974467
opuiseux`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``974641
opuiseux`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``974889
opureLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``975135
opurelyAlgebraic?`1`n`(S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`1`x`(_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``975275
opurelyAlgebraic?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraic?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``975619
opurelyAlgebraicLeadingMonomial?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyAlgebraicLeadingMonomial?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``975762
opurelyTranscendental?`2`n`(P,S)->Boolean`xRegularTriangularSetCategory&(S,R,E,V,P)``0
opurelyTranscendental?`2`x`(P,_$)->Boolean`cRegularTriangularSetCategory(R,E,V,P)``975961
opurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``976112
opush!`2`x`(S,_$)->S`cStackAggregate(S)``976243
opushFortranOutputStack`1`n`(FileName)->Void`pFortranOutputStackPackage``976508
opushFortranOutputStack`1`n`(String)->Void`pFortranOutputStackPackage``976594
opushdown`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``976680
opushdown`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``976728
opushdown`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``976775
opushdterm`2`x`(SparseUnivariatePolynomial(PRF),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``976921
opushucoef`2`x`(SparseUnivariatePolynomial(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``977070
opushuconst`2`x`(Fraction(Polynomial(R)),OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``977214
opushup`2`n`(PPR,List(OV))->PPR`pPushVariables(R,E,OV,PPR)``977346
opushup`2`n`(PPR,OV)->PPR`pPushVariables(R,E,OV,PPR)``977392
opushup`2`x`(PRF,OV)->PRF`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``977437
oputColorInfo`2`n`(List(List(Point(DoubleFloat))),List(Palette))->List(List(Point(DoubleFloat)))`dGraphImage``977591
oputGraph`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``977798
oqPot`2`n`(Vector(GF),Integer)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``978247
oqShiftAction`4`n`(D,NonNegativeInteger,NonNegativeInteger,V)->D`pFractionFreeFastGaussian(D,V)``978465
oqShiftC`2`n`(D,NonNegativeInteger)->List(D)`pFractionFreeFastGaussian(D,V)``978714
oqcoerce`1`x`(Integer)->_$`dNonNegativeInteger``979047
oqcoerce`1`x`(Integer)->_$`dPositiveInteger``979140
oqconvert`1`x`(Integer)->_$`dSingleInteger``979230
oqcumulant2nthmoment`3`n`(R,Sequence(R),NonNegativeInteger)->R`pMomentPackage(R)``979324
oqelt`2`n`(S,Dom)->Im`xEltableAggregate&(S,Dom,Im)``0
oqelt`2`x`(_$,Dom)->Im`cEltableAggregate(Dom,Im)``979461
oqelt`3`x`(_$,Integer,Integer)->R`cRectangularMatrixCategory(m,n,R,Row,Col)``979767
oqelt`3`x`(_$,Integer,Integer)->R`cTwoDimensionalArrayCategory(R,Row,Col)``979967
oqinterval`2`x`(R,R)->_$`cIntervalCategory(R)``980145
oqlog`1`x`(_$)->_$`dDoubleFloat``980274
oqnew`1`n`(Integer)->_$`dComplexDoubleFloatVector``980366
oqnew`1`n`(Integer)->_$`dDoubleFloatVector``980443
oqnew`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``980520
oqroot`2`n`(Fraction(Integer),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``980596
oqsetelt!`3`n`(S,Dom,Im)->Im`xEltableAggregate&(S,Dom,Im)``0
oqsetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`980693
oqsetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``980910
oqsetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`981096
oqsetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`981222
oqsqrt`1`x`(_$)->_$`dDoubleFloat``981338
oquadraticForm`1`x`(SquareMatrix(n,K))->_$`dQuadraticForm(n,K)``981426
oquadraticNorm`1`n`(UP)->F`pGaloisGroupFactorizationUtilities(R,UP,F)``981526
oquadratic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``981612
oquadratic`3`n`(F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``981653
oquartic`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``981704
oquartic`5`n`(F,F,F,F,F)->List(F)`pPolynomialSolveByFormulas(UP,F)``981743
oquasiAlgebraicSet`2`n`(List(Dpoly),Dpoly)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``981802
oquasiComponent`1`n`(S)->Record(close:List(P),open:List(P))`xTriangularSetCategory&(S,R,E,V,P)``0
oquasiComponent`1`x`(_$)->Record(close:List(P),open:List(P))`cTriangularSetCategory(R,E,V,P)``982006
oquasiMonic?`1`n`(S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
oquasiMonic?`1`x`(_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``982158
oquasiMonicPolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``982333
oquasiRegular?`1`n`(_$)->Boolean`dXPolynomialRing(R,E)``982511
oquasiRegular?`1`x`(_$)->Boolean`cXFreeAlgebra(vl,R)``982592
oquasiRegular`1`n`(_$)->_$`dXPolynomialRing(R,E)``982673
oquasiRegular`1`x`(_$)->_$`cXFreeAlgebra(vl,R)``982744
oquatern`4`x`(R,R,R,R)->_$`cQuaternionCategory(R)``982815
oqueue`1`x`(List(S))->_$`dQueue(S)``982893
oquickSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``983058
oquoByVar`1`x`(_$)->_$`cUnivariateTaylorSeriesCategory(Coef)``983183
oquo`2`n`(S,S)->S`xComplexCategory&(S,R)``0
oquo`2`n`(S,S)->S`xEuclideanDomain&(S)``0
oquo`2`n`(_$,_$)->_$`dOutputForm``983450
oquo`2`x`(_$,_$)->_$`cEuclideanDomain``983507
oquo`2`x`(_$,_$)->_$`dNonNegativeInteger``983619
oquote`0`x`()->_$`dCharacter``983716
oquote`1`n`(_$)->_$`dOutputForm``983787
oquoted?`1`n`(_$)->Boolean`dPattern(R)``983857
oquotedOperators`1`x`(_$)->List(Symbol)`dRewriteRule(Base,R,F)``983948
oquotientByP`1`x`(_$)->_$`cPAdicIntegerCategory(p)``984175
oquotient`2`n`(_$,List(List(Integer)))->_$`dGroupPresentation``984250
oquotient`2`n`(_$,List(NonNegativeInteger))->_$`dGroupPresentation``984311
oquotient`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``984375
oquotient`2`x`(_$,_$)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``984530
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`cJetBundleCategory``984637
or2m`1`n`(List(PositiveInteger))->List(NonNegativeInteger)`xJetBundleCategory&(S)``984708
orCoord`1`n`(Point(R))->R`pPointPackage(R)``984779
orabs`1`x`(Complex(DoubleFloat))->DoubleFloat`pFloatSpecialFunctions``985050
orabs`1`x`(Complex(Float))->Float`pFloatEllipticFunctions``985070
orabs`1`x`(Complex(Float))->Float`pFloatSpecialFunctions``985091
orabs`1`x`(DoubleFloat)->DoubleFloat`pFloatSpecialFunctions``985111
orabs`1`x`(Float)->Float`pFloatEllipticFunctions``985131
orabs`1`x`(Float)->Float`pFloatSpecialFunctions``985152
oradPoly`1`n`(UPUP)->Union(Record(radicand:Fraction(UP),deg:NonNegativeInteger),"failed")`pChangeOfVariable(F,UP,UPUP)``985172
oradicalEigenvalues`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Expression(Integer))`pRadicalEigenPackage``985300
oradicalEigenvector`2`x`(Expression(Integer),Matrix(Fraction(Polynomial(Integer))))->List(Matrix(Expression(Integer)))`pRadicalEigenPackage``985454
oradicalEigenvectors`1`x`(Matrix(Fraction(Polynomial(Integer))))->List(Record(radval:Expression(Integer),radmult:Integer,radvect:List(Matrix(Expression(Integer)))))`pRadicalEigenPackage``985655
oradicalOfLeftTraceForm`0`x`()->List(A)`pAlgebraPackage(R,A)``985836
oradicalRoots`2`x`(Fraction(Polynomial(R)),Symbol)->List(Expression(R))`pRadicalSolvePackage(R)``986074
oradicalRoots`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Expression(R)))`pRadicalSolvePackage(R)``986229
oradicalSimplify`1`n`(QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->QuasiAlgebraicSet(Fraction(Integer),OrderedVariableList(vl),DirectProduct(#(vl),NonNegativeInteger),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pQuasiAlgebraicSet2(vl)``986403
oradicalSolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``986721
oradicalSolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``986918
oradicalSolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``987084
oradicalSolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``987280
oradicalSolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``987458
oradicalSolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Expression(R)))`pRadicalSolvePackage(R)``987630
oradicalSolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``987826
oradicalSolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Expression(R))))`pRadicalSolvePackage(R)``988019
oradical`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer)))`pIdealDecompositionPackage(vl)``988246
oradix`2`x`(Fraction(Integer),Integer)->Any`pRadixUtilities``988314
oraisePolynomial`1`n`(SparseUnivariatePolynomial(R))->SparseUnivariatePolynomial(P)`pFactoringUtilities(E,OV,R,P)``988399
oramified?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``988561
oramified?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``988628
oramifiedAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``988698
oran`1`n`(Integer)->R`pFactoringUtilities(E,OV,R,P)``988765
orandnum`0`x`()->Integer`pRandomNumberSource``988868
orandnum`1`x`(Integer)->Integer`pRandomNumberSource``988933
orandomLC`2`n`(NonNegativeInteger,Vector(A))->A`dFractionalIdeal(R,F,UP,A)``989001
orandomR`0`n`()->R`pGeneralPolynomialGcdPackage(E,OV,R,P)``989065
orandomR`1`n`(Integer)->R`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``989121
orandom`0`n`()->S`xFinite&(S)``0
orandom`0`n`()->S`xFramedModule&(S,R)``0
orandom`0`n`()->S`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
orandom`0`x`()->_$`cFinite``989181
orandom`1`n`(PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``989243
orandom`1`n`(PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``989373
orandom`1`x`(_$)->Permutation(S)`dPermutationGroup(S)``989457
orandom`1`x`(_$)->_$`cIntegerNumberSystem``989596
orandom`1`x`(_$)->_$`dInteger``989667
orandom`1`x`(_$)->_$`dNonNegativeInteger``989738
orandom`2`n`(PositiveInteger,PositiveInteger)->SparseUnivariatePolynomial(GF)`pFiniteFieldPolynomialPackage(GF)``989809
orandom`2`x`(_$,Integer)->Permutation(S)`dPermutationGroup(S)``989986
orangePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``990095
orangePascalTriangle`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)``990175
orange`1`x`(List(Segment(Float)))->_$`dDrawOption``990294
orange`1`x`(List(Segment(Fraction(Integer))))->_$`dDrawOption``990419
oranges`1`n`(_$)->List(Segment(Float))`dGraphImage``990544
oranges`1`x`(List(Segment(Float)))->_$`dDrawOption``990712
oranges`2`n`(List(DrawOption),List(Segment(Float)))->List(Segment(Float))`pDrawOptionFunctions0``990844
oranges`2`n`(_$,List(Segment(Float)))->List(Segment(Float))`dGraphImage``991051
orank`0`n`()->PositiveInteger`cFramedModule(R)``991306
orank`0`n`()->PositiveInteger`xComplexCategory&(S,R)``0
orank`0`n`()->PositiveInteger`xOctonionCategory&(S,R)``0
orank`0`x`()->PositiveInteger`cFiniteRankAlgebra(R,UP)``991358
orank`0`x`()->PositiveInteger`cFiniteRankNonAssociativeAlgebra(R)``991412
orank`1`n`(List(Vector(R)))->NonNegativeInteger`dVectorSpaceBasis(R)``991485
orank`1`n`(M)->NonNegativeInteger`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``991547
orank`1`n`(_$)->NonNegativeInteger`dVectorSpaceBasis(R)``991610
orank`1`x`(M)->NonNegativeInteger`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,IntegralDomain)`991717
orank`1`x`(_$)->NonNegativeInteger`cMatrixCategory(R,Row,Col)`has(R,IntegralDomain)`991780
orank`1`x`(_$)->NonNegativeInteger`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,IntegralDomain)`991843
orank`1`x`(_$)->NonNegativeInteger`dCartesianTensor(minix,dim,R)``991906
orank`2`x`(M,Col)->NonNegativeInteger`pLinearSystemMatrixPackage(F,Row,Col,M)``992049
orank`2`x`(Matrix(F),Vector(F))->NonNegativeInteger`pLinearSystemMatrixPackage1(F)``992166
orarrow`2`n`(_$,_$)->_$`dOutputForm``992283
oratDenom`1`x`(F)->F`pAlgebraicManipulations(R,F)``992358
oratDenom`2`x`(F,F)->F`pAlgebraicManipulations(R,F)``992496
oratDenom`2`x`(F,List(F))->F`pAlgebraicManipulations(R,F)``992614
oratDenom`2`x`(F,List(Kernel(F)))->F`pAlgebraicManipulations(R,F)``992755
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``992888
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``993212
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),Fraction(UP))->Record(particular:Union(Fraction(UP),"failed"),basis:List(Fraction(UP)))`pRationalLODE(F,UP)``993468
oratDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),List(Fraction(UP)))->Record(basis:List(Fraction(UP)),mat:Matrix(F))`pRationalLODE(F,UP)``993792
oratPoly`1`x`(F)->SparseUnivariatePolynomial(F)`pAlgebraicManipulations(R,F)``994048
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)``994176
orational?`1`x`(_$)->Boolean`cComplexCategory(R)`has(R,IntegerNumberSystem)`994283
orational?`1`x`(_$)->Boolean`cIntegerNumberSystem``994350
orational?`1`x`(_$)->Boolean`cOctonionCategory(R)`has(R,IntegerNumberSystem)`994451
orational?`1`x`(_$)->Boolean`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`994567
orational?`1`x`(_$)->Boolean`dFactored(R)`has(R,IntegerNumberSystem)`994763
orational?`1`x`(_$)->Boolean`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`994883
orational?`1`x`(_$)->Boolean`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`994957
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``995031
orationalApproximation`2`x`(_$,NonNegativeInteger)->Fraction(Integer)`dFloat``995168
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dDoubleFloat``995305
orationalApproximation`3`x`(_$,NonNegativeInteger,NonNegativeInteger)->Fraction(Integer)`dFloat``995485
orationalFunction`2`x`(_$,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`995663
orationalFunction`3`x`(_$,Integer,Integer)->Fraction(Polynomial(Coef))`cUnivariateLaurentSeriesCategory(Coef)`has(Coef,IntegralDomain)`995807
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xComplexCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xIntegerNumberSystem&(S)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xOctonionCategory&(S,R)``0
orationalIfCan`1`n`(S)->Union(Fraction(Integer),"failed")`xQuaternionCategory&(S,R)``0
orationalIfCan`1`x`(S)->Union(Fraction(Integer),"failed")`pRationalRetractions(S)``995974
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cComplexCategory(R)`has(R,IntegerNumberSystem)`996093
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cIntegerNumberSystem``996215
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cOctonionCategory(R)`has(R,IntegerNumberSystem)`996320
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`996435
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dFactored(R)`has(R,IntegerNumberSystem)`996660
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`996770
orationalIfCan`1`x`(_$)->Union(Fraction(Integer),"failed")`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`996882
orationalPoint?`2`n`(F,F)->Boolean`xFunctionFieldCategory&(S,F,UP,UPUP)``996995
orationalPoint?`2`x`(F,F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``997078
orationalPoints`0`n`()->List(List(F))`xFunctionFieldCategory&(S,F,UP,UPUP)``997161
orationalPoints`0`x`()->List(List(F))`cFunctionFieldCategory(F,UP,UPUP)`has(F,Finite)`997244
orationalPower`1`x`(_$)->Fraction(Integer)`cUnivariatePuiseuxSeriesConstructorCategory(Coef,ULS)``997327
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(Integer),denoms:PrimitiveArray(Integer)),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`1`n`(_$)->Union(Record(numers:PrimitiveArray(U32Vector),denoms:PrimitiveArray(U32Vector)),"failed")`dVectorModularReconstructor``997425
orational_reconstruction`4`n`(Integer,Integer,Integer,Integer)->Union(Record(num:Integer,den:Integer),"failed")`dVectorIntegerReconstructor``0
orational_reconstruction`4`n`(U32Vector,U32Vector,Integer,Integer)->Union(Record(numer:U32Vector,denom:U32Vector),"failed")`dVectorModularReconstructor``997519
orational`1`n`(S)->Fraction(Integer)`xComplexCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xIntegerNumberSystem&(S)``0
orational`1`n`(S)->Fraction(Integer)`xOctonionCategory&(S,R)``0
orational`1`n`(S)->Fraction(Integer)`xQuaternionCategory&(S,R)``0
orational`1`x`(S)->Fraction(Integer)`pRationalRetractions(S)``997556
orational`1`x`(_$)->Fraction(Integer)`cComplexCategory(R)`has(R,IntegerNumberSystem)`997665
orational`1`x`(_$)->Fraction(Integer)`cIntegerNumberSystem``997775
orational`1`x`(_$)->Fraction(Integer)`cOctonionCategory(R)`has(R,IntegerNumberSystem)`997863
orational`1`x`(_$)->Fraction(Integer)`cQuaternionCategory(R)`has(R,IntegerNumberSystem)`997983
orational`1`x`(_$)->Fraction(Integer)`dFactored(R)`has(R,IntegerNumberSystem)`998194
orational`1`x`(_$)->Fraction(Integer)`dOnePointCompletion(R)`has(R,IntegerNumberSystem)`998354
orational`1`x`(_$)->Fraction(Integer)`dOrderedCompletion(R)`has(R,IntegerNumberSystem)`998471
orationalize_ir`2`n`(IntegrationResult(F),Kernel(F))->IntegrationResult(F)`pGenusZeroIntegration(R,F,L)``998586
oratpart`1`n`(_$)->F`dIntegrationResult(F)``998688
oravel`1`x`(_$)->List(R)`dCartesianTensor(minix,dim,R)``998765
orc`2`x`(_$,_$)->_$`dCliffordAlgebra(n,K,bLin)``998886
ordHack1`3`n`(Vector(S),Vector(Integer),Integer)->()->S`pRandomDistributions(S)``998925
ordregime`1`n`(String)->List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R)))))))`pParametricLinearEquations(R,Var,Expon,GR)``998974
oread!`1`x`(_$)->S`cFileCategory(Name,S)``999047
oreadIfCan!`1`x`(_$)->Union(S,"failed")`dFile(S)``999211
oreadIfCan!`1`x`(_$)->Union(SingleInteger,"failed")`dBinaryFile``999406
oreadIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``999601
oreadLine!`1`x`(_$)->String`dTextFile``999814
oreadLineIfCan!`1`x`(_$)->Union(String,"failed")`dTextFile``999908
oreadable?`1`x`(_$)->Boolean`cFileNameCategory``1000125
oreal?`1`n`(_$)->Boolean`dFortranScalarType``1000216
oreal?`1`x`(F)->Boolean`pComplexTrigonometricManipulations(R,F)``1000302
oreal?`1`x`(F)->Boolean`pTrigonometricManipulations(R,F)``1000367
orealEigenvalues`2`x`(Matrix(Fraction(Integer)),Par)->List(Par)`pNumericRealEigenPackage(Par)``1000432
orealEigenvectors`2`x`(Matrix(Fraction(Integer)),Par)->List(Record(outval:Par,outmult:Integer,outvect:List(Matrix(Par))))`pNumericRealEigenPackage(Par)``1000648
orealElementary`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1000934
orealElementary`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1001090
orealLiouvillian`1`x`(F)->F`pElementaryFunctionStructurePackage(R,F)``1001285
orealLiouvillian`2`x`(F,Symbol)->F`pElementaryFunctionStructurePackage(R,F)``1001558
orealRoots`2`x`(Fraction(Polynomial(Integer)),Par)->List(Par)`pFloatingRealPackage(Par)``1001848
orealRoots`3`x`(List(Fraction(Polynomial(Integer))),List(Symbol),Par)->List(List(Par))`pFloatingRealPackage(Par)``1001967
orealSolve`1`x`(List(Polynomial(R)))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1002287
orealSolve`1`x`(RegularChain(R,ls))->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1002383
orealSolve`2`x`(List(Polynomial(R)),Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1002663
orealSolve`3`n`(List(Polynomial(Integer)),List(Symbol),Float)->List(List(Float))`pRealSolvePackage``1002769
orealSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1002980
orealSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(List(RealClosure(Fraction(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1003097
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1004020
orealZeros`1`x`(Pol)->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1004151
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1004282
orealZeros`2`x`(Pol,Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1004443
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1004604
orealZeros`2`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1004800
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackage(Pol)``1004996
orealZeros`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->List(Record(left:Fraction(Integer),right:Fraction(Integer)))`pRealZeroPackageQ(Pol)``1005225
oreal`1`x`(F)->Expression(R)`pComplexTrigonometricManipulations(R,F)``1005454
oreal`1`x`(F)->F`pTrigonometricManipulations(R,F)``1005548
oreal`1`x`(_$)->R`cComplexCategory(R)``1005642
oreal`1`x`(_$)->R`cOctonionCategory(R)``1005695
oreal`1`x`(_$)->R`cQuaternionCategory(R)``1005758
orecip`0`n`()->_$`dMoebiusTransform(F)``1005827
orecip`1`n`(S)->Union(S,"failed")`xComplexCategory&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xEntireRing&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orecip`1`n`(S)->Union(S,"failed")`xGroup&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMagmaWithUnit&(S)``0
orecip`1`n`(S)->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
orecip`1`n`(Stream(A))->Union(Stream(A),"failed")`pStreamTaylorSeriesOperations(A)``1005934
orecip`1`n`(_$)->Union(_$,"failed")`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1006037
orecip`1`n`(_$)->Union(_$,"failed")`dModularRing(R,Mod,reduction,merge,exactQuo)``1006074
orecip`1`n`(_$)->_$`dMoebiusTransform(F)``1006111
orecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1006155
orecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1006388
orecip`1`x`(_$)->Union(_$,"failed")`dCliffordAlgebra(n,K,bLin)``1006590
orecip`2`n`(ThePols,S)->Union(ThePols,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orecip`2`x`(P,TS)->Record(num:P,den:P)`pNormalizationPackage(R,E,V,P,TS)``1006704
orecip`2`x`(ThePols,_$)->Union(ThePols,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1006877
oreciprocalPolynomial`1`n`(UP)->UP`pComplexRootFindingPackage(R,UP)``1006967
orecolor`2`x`((DoubleFloat,DoubleFloat)->Point(DoubleFloat),(DoubleFloat,DoubleFloat,DoubleFloat)->DoubleFloat)->(DoubleFloat,DoubleFloat)->Point(DoubleFloat)`pTopLevelDrawFunctionsForCompiledFunctions``1007137
oreconstruct`2`n`(_$,Vector(Integer))->Union(PrimitiveArray(Integer),"failed")`dVectorIntegerReconstructor``1007235
oreconstruct`5`n`(_$,Integer,Vector(Integer),Vector(Integer),SortedExponentVector)->Union(Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector),"failed")`dVectorModularReconstructor``1007322
oreconstruct`7`n`(Integer,Vector(Integer),Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1007386
orectangularMatrix`1`n`(Matrix(R))->_$`dRectangularMatrix(m,n,R)``1007489
orecur`1`x`((NonNegativeInteger,A)->A)->(NonNegativeInteger,A)->A`pMappingPackage1(A)``1007614
orecur`3`n`((NonNegativeInteger,A)->A,NonNegativeInteger,A)->A`pMappingPackageInternalHacks1(A)``1007737
oredPo`2`n`(Dpol,List(Dpol))->Record(poly:Dpol,mult:Dom)`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1007813
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1007847
oredPol`2`n`(Dpol,List(Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``1007882
ored_pol`2`n`(U32Vector,List(Record(ind:NonNegativeInteger,poly:U32Vector)))->Void`pModularFactorization``0
ored`0`x`()->_$`dColor``1008075
oredmat`2`n`(Matrix(GR),List(GR))->Matrix(GR)`pParametricLinearEquations(R,Var,Expon,GR)``1008148
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)``1008288
oreduceBasis0`4`n`(TwoDimensionalArray(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``0
oreduceBasisAtInfinity`1`n`(Vector(S))->Vector(S)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oreduceBasisAtInfinity`1`x`(Vector(_$))->Vector(_$)`cFunctionFieldCategory(F,UP,UPUP)``1008405
oreduceBasis`4`n`(Vector(U32Vector),Vector(Integer),Vector(Integer),Integer)->Record(basis:TwoDimensionalArray(U32Vector),defects:Vector(Integer),cinds:Vector(Integer))`pNaiveBeckermannLabahnModular``1008570
oreduceByQuasiMonic`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduceByQuasiMonic`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1008686
oreduceLODE`2`n`(LO,A)->Record(mat:Matrix(L),vec:Vector(F))`pReduceLODE(F,L,UP,A,LO)``1008801
oreduceLODE`2`n`(LO,List(A))->Record(mat:Matrix(L),vecs:List(Vector(F)))`pReduceLODE(F,L,UP,A,LO)``1009160
oreduceMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
oreduceMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1009417
oreduce`1`n`(FPol)->_$`dResidueRing(F,Expon,VarSet,FPol,LFPol)``1009517
oreduce`1`n`(Fraction(SparseUnivariatePolynomial(R)))->Union(S,"failed")`xComplexCategory&(S,R)``0
oreduce`1`n`(Fraction(UP))->Union(S,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(Rep)->_$`dModMonic(R,Rep)``1009604
oreduce`1`n`(SparseUnivariatePolynomial(R))->S`xComplexCategory&(S,R)``0
oreduce`1`n`(SparseUnivariatePolynomial(R1))->Record(pol:SparseUnivariatePolynomial(R1),deg:PositiveInteger)`pDegreeReductionPackage(R1,R2)``1009642
oreduce`1`n`(UP)->S`xMonogenicAlgebra&(S,R,UP)``0
oreduce`1`n`(_$)->_$`dInnerAlgebraicNumber``1009792
oreduce`1`n`(_$)->_$`dJetBundleExpression(JB)``1009921
oreduce`1`n`(_$)->_$`dJetBundleXExpression(JB)``1009977
oreduce`1`x`(Fraction(UP))->Union(_$,"failed")`cMonogenicAlgebra(R,UP)`has(R,Field)`1010037
oreduce`1`x`(UP)->_$`cMonogenicAlgebra(R,UP)``1010121
oreduce`1`x`(_$)->_$`cFiniteDivisorCategory(F,UP,UPUP,R)``1010274
oreduce`1`x`(_$)->_$`dAlgebraicNumber``1010405
oreduce`1`x`(_$)->_$`dExpression(R)`has(R,IntegralDomain)`1010534
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)->_$`dEuclideanModularRing(S,R,Mod,reduction,merge,exactQuo)``1010666
oreduce`2`n`(R,Mod)->_$`dModularField(R,Mod,reduction,merge,exactQuo)``1010709
oreduce`2`n`(R,Mod)->_$`dModularRing(R,Mod,reduction,merge,exactQuo)``1010752
oreduce`2`x`((S,S)->S,_$)->S`cCollection(S)`has(_$,finiteAggregate)`1010795
oreduce`3`n`((P,P)->P,S,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`3`n`((S,S)->S,A,S)->S`xCollection&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xListAggregate&(A,S)``0
oreduce`3`n`((S,S)->S,A,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`3`x`((A,B)->B,DirectProduct(dim,A),B)->B`pDirectProductFunctions2(dim,A,B)``1011125
oreduce`3`x`((A,B)->B,List(A),B)->B`pListFunctions2(A,B)``1011294
oreduce`3`x`((A,B)->B,OneDimensionalArray(A),B)->B`pOneDimensionalArrayFunctions2(A,B)``1011687
oreduce`3`x`((A,B)->B,PrimitiveArray(A),B)->B`pPrimitiveArrayFunctions2(A,B)``1012041
oreduce`3`x`((A,B)->B,Vector(A),B)->B`pVectorFunctions2(A,B)``1012389
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pMatrixCategoryFunctions2(R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1012558
oreduce`3`x`((R1,R2)->R2,M1,R2)->R2`pRectangularMatrixCategoryFunctions2(m,n,R1,Row1,Col1,M1,R2,Row2,Col2,M2)``1012915
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteLinearAggregateFunctions2(S,A,R,B)``1013063
oreduce`3`x`((S,R)->R,A,R)->R`pFiniteSetAggregateFunctions2(S,A,R,B)``1013405
oreduce`3`x`((S,S)->S,_$,S)->S`cCollection(S)`has(_$,finiteAggregate)`1013739
oreduce`3`x`(B,(A,B)->B,Stream(A))->B`pStreamFunctions2(A,B)``1014139
oreduce`4`n`((P,P)->P,S,P,P)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xCollection&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xListAggregate&(A,S)``0
oreduce`4`n`((S,S)->S,A,S,S)->S`xOneDimensionalArrayAggregate&(A,S)``0
oreduce`4`n`(P,S,(P,P)->P,(P,P)->Boolean)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oreduce`4`x`((S,S)->S,_$,S,S)->S`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1014372
oreduce`4`x`(P,_$,(P,P)->P,(P,P)->Boolean)->P`cTriangularSetCategory(R,E,V,P)``1014761
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)``1015325
oreduced?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1015444
oreduced?`3`n`(P,S,(P,P)->Boolean)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
oreduced?`3`x`(P,_$,(P,P)->Boolean)->Boolean`cTriangularSetCategory(R,E,V,P)``1015538
oreducedContinuedFraction`2`x`(R,Stream(R))->_$`dContinuedFraction(R)``1015771
oreducedDiscriminant`1`n`(UP)->R`pPAdicWildFunctionFieldIntegralBasis(K,R,UP,F)``1016100
oreducedForm`1`x`(_$)->_$`dContinuedFraction(R)``1016152
oreducedQPowers`1`n`(SparseUnivariatePolynomial(GF))->PrimitiveArray(SparseUnivariatePolynomial(GF))`pFiniteFieldPolynomialPackage(GF)``1016412
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)`xFullyLinearlyExplicitOver&(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)`xFullyLinearlyExplicitOver&(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(_$))->Matrix(R)`cLinearlyExplicitOver(R)``1016582
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(A),Vector(A))->Record(mat:Matrix(S),vec:Vector(S))`xQuotientFieldCategory&(A,S)``0
oreducedSystem`2`n`(Matrix(F),List((F)->F))->Matrix(F)`pConstantLinearDependence(R,F)``1016720
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(Integer),vec:Vector(Integer))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xComplexCategory&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xDirectProductCategory&(S,dim,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xFullyLinearlyExplicitOver&(S,R)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xPolynomialCategory&(S,R,E,VarSet)``0
oreducedSystem`2`n`(Matrix(S),Vector(S))->Record(mat:Matrix(R),vec:Vector(R))`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oreducedSystem`2`x`(Matrix(_$),Vector(_$))->Record(mat:Matrix(R),vec:Vector(R))`cLinearlyExplicitOver(R)``1016880
oreducedSystem`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(mat:Matrix(F),vec:Vector(F))`pConstantLinearDependence(R,F)``1017045
oreduction`2`n`(BP,R)->BP`pGenExEuclid(R,BP)``1017241
oreduction`2`n`(BP,R)->BP`pInnerModularGcd(R,BP,pMod,nextMod)``1017405
oreduction`2`n`(TP,RP)->TP`pGeneralHenselPackage(RP,TP)``1017516
oreductum`1`n`(S)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`1`n`(S)->S`xUnivariatePowerSeriesCategory&(S,Coef,Expon)``0
oreductum`1`n`(_$)->_$`cSolvableSkewPolynomialCategory(R,Expon,VarSet)``1017603
oreductum`1`n`(_$)->_$`dAntiSymm(R,lVar)``1017714
oreductum`1`n`(_$)->_$`dDeRhamComplex(CoefRing,listIndVar)``1017899
oreductum`1`n`(_$)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1018080
oreductum`1`n`(_$)->_$`dLaurentPolynomial(R,UP)``1018120
oreductum`1`n`(_$)->_$`dXPolynomialRing(R,E)``1018160
oreductum`1`x`(_$)->_$`cAbelianMonoidRing(R,E)``1018269
oreductum`1`x`(_$)->_$`cIndexedDirectProductCategory(A,S)``1018380
oreductum`2`n`(S,V)->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oreductum`2`x`(_$,V)->_$`cRecursivePolynomialCategory(R,E,V)``1018547
oredux`1`n`(_$)->_$`dILogic``1018679
oredux`1`n`(_$)->_$`dLambda(UT)``1018833
oredux`1`n`(_$)->_$`dLatticeJoinOfMeets``1018904
oredux`1`n`(_$)->_$`dLatticeMeetOfJoins``1018937
oredux`1`n`(_$)->_$`dSKICombinators(UT)``1018970
oref`1`n`(S)->_$`dReference(S)``1019082
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dFiniteSimplicialComplex(VS)``1019157
orefactorIndexes`2`n`(_$,NonNegativeInteger)->_$`dOrientedFacet``1019253
orefactor`1`n`(_$)->_$`dGroupPresentation``1019353
orefine`1`n`(_$)->_$`dPlot3D``1019575
orefine`1`n`(_$)->_$`dPlot``1019613
orefine`1`x`(_$)->_$`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1019680
orefine`2`n`(Factored(R),(R)->Factored(R))->Factored(R)`pFactoredFunctionUtilities(R)``1019761
orefine`2`n`(_$,DoubleFloat)->_$`dPlaneAlgebraicCurvePlot``1020180
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot3D``1020225
orefine`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1020268
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackage(Pol)``1020311
orefine`3`x`(Pol,Record(left:Fraction(Integer),right:Fraction(Integer)),Fraction(Integer))->Record(left:Fraction(Integer),right:Fraction(Integer))`pRealZeroPackageQ(Pol)``1020494
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)``1020677
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)``1020985
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)``1021293
oregion`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1022152
oregularRepresentation`1`n`(G)->Matrix(Integer)`pFiniteGroupPackage(G)``1022434
oregularRepresentation`1`n`(S)->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
oregularRepresentation`1`x`(_$)->Matrix(R)`cFramedAlgebra(R,UP)``1022551
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)``1022789
oreindex`1`n`(_$)->_$`dOrientedFacet``1023061
oreindex`2`x`(_$,List(Integer))->_$`dCartesianTensor(minix,dim,R)``1023130
orelationsIdeal`1`x`(List(DPoly))->SuchThat(List(Polynomial(F)),List(Equation(Polynomial(F))))`dPolynomialIdeal(F,Expon,VarSet,DPoly)`has(VarSet,ConvertibleTo(Symbol))`1023416
orelationsInGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1023528
orelationsInStrongGenerators`1`x`(_$)->List(List(Integer))`dPermutationGroup(S)``1023607
orelativeApprox`2`x`(_$,_$)->Fraction(Integer)`dRealClosure(TheField)``1023699
orelativeApprox`3`x`(ThePolDom,_$,TheField)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1023807
orelativeApprox`3`x`(ThePols,_$,TheField)->TheField`cRealRootCharacterizationCategory(TheField,ThePols)``1023935
orelerror`2`x`(_$,_$)->Integer`dFloat``1024065
orem`2`n`(S,S)->S`xComplexCategory&(S,R)``0
orem`2`n`(S,S)->S`xEuclideanDomain&(S)``0
orem`2`n`(_$,_$)->_$`dOutputForm``1024184
orem`2`x`(_$,_$)->_$`cEuclideanDomain``1024241
orem`2`x`(_$,_$)->_$`dNonNegativeInteger``1024354
oremainder!`3`n`(U32Vector,U32Vector,Integer)->Void`pU32VectorPolynomialOperations``1024424
oremainder`2`n`(P,S)->Record(rnum:R,polnum:P,den:R)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oremainder`2`x`(P,_$)->Record(rnum:R,polnum:P,den:R)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1024452
oremap_variables`3`n`(SparseMultivariatePolynomial(R,VarSet1),List(VarSet1),List(VarSet2))->SparseMultivariatePolynomial(R,VarSet2)`pSparsePolynomialCoercionHelpers(R,VarSet1,VarSet2)``1024757
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)``1024989
oremove!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1025055
oremove!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1025198
oremove!`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1025322
oremove!`2`x`(S,_$)->_$`cDictionaryOperations(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1025514
oremove!`2`x`(S,_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1025643
oremove!`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1025730
oremove!`3`x`(S,_$,Integer)->_$`dMultiset(S)``1026031
oremoveChild!`2`n`(_$,_$)->Void`dScene(PT)``1026284
oremoveConstantTerm`2`n`(F,Symbol)->F`pIntegrationTools(R,F)`has(R,IntegralDomain)`1026385
oremoveCosSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1026497
oremoveCoshSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1026674
oremoveDuplicates!`1`n`(A)->A`xListAggregate&(A,S)``0
oremoveDuplicates!`1`x`(_$)->_$`cExtensibleLinearAggregate(S)`has(S,BasicType)`1026855
oremoveDuplicates!`1`x`(_$)->_$`cMultiDictionary(S)``1026938
oremoveDuplicates`1`n`(A)->A`xCollection&(A,S)``0
oremoveDuplicates`1`n`(A)->A`xExtensibleLinearAggregate&(A,S)``0
oremoveDuplicates`1`x`(_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1027040
oremoveIrreducibleRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1027130
oremoveRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1027423
oremoveRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1027772
oremoveRedundantFactors`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1028093
oremoveRedundantFactors`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1028784
oremoveRedundantFactors`2`n`(List(P),P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1029074
oremoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1029365
oremoveRedundantFactors`3`n`(List(P),List(P),(List(P))->List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1029470
oremoveRepeats!`1`n`(_$)->_$`dIndexedFlexibleArray(S,mn)``1029687
oremoveRepeats!`1`x`(_$)->_$`dFlexibleArray(S)``0
oremoveRoughlyRedundantFactorsInContents`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1029809
oremoveRoughlyRedundantFactorsInPol`2`n`(P,List(P))->P`pPolynomialSetUtilitiesPackage(R,E,V,P)``1030153
oremoveRoughlyRedundantFactorsInPols`2`n`(List(P),List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1030307
oremoveRoughlyRedundantFactorsInPols`3`n`(List(P),List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1030597
oremoveSinSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1030877
oremoveSinhSq`1`x`(F)->F`pTranscendentalManipulations(R,F)``1031054
oremoveSquaresIfCan`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1031235
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pQuasiComponentPackage(R,E,V,P,TS)``1031396
oremoveSuperfluousCases`1`x`(List(Record(val:List(P),tower:TS)))->List(Record(val:List(P),tower:TS))`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1031501
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pQuasiComponentPackage(R,E,V,P,TS)``1031606
oremoveSuperfluousQuasiComponents`1`x`(List(TS))->List(TS)`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1031785
oremoveZero`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
oremoveZero`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1031964
oremoveZeroes`1`n`(_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRational(p)``0
oremoveZeroes`1`n`(_$)->_$`dPAdicRationalConstructor(p,PADIC)``1032228
oremoveZeroes`1`x`(_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1032792
oremoveZeroes`2`n`(Integer,_$)->_$`dBalancedPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRational(p)``0
oremoveZeroes`2`n`(Integer,_$)->_$`dPAdicRationalConstructor(p,PADIC)``1033331
oremoveZeroes`2`x`(Integer,_$)->_$`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1033446
oremoveZeros`2`n`(_$,Expon)->_$`dGeneralizedUnivariatePowerSeries(Coef,Expon,var,cen)``1033913
oremove_denoms`3`n`(Vector(Integer),PrimitiveArray(Integer),PrimitiveArray(Integer))->PrimitiveArray(Integer)`dVectorIntegerReconstructor``1034022
oremove_denoms`4`n`(Vector(Integer),PrimitiveArray(U32Vector),PrimitiveArray(U32Vector),Integer)->PrimitiveArray(U32Vector)`dVectorModularReconstructor``1034066
oremove`2`n`((S)->Boolean,A)->A`xCollection&(A,S)``0
oremove`2`n`((S)->Boolean,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(S,A)->A`xCollection&(A,S)``0
oremove`2`n`(S,A)->A`xExtensibleLinearAggregate&(A,S)``0
oremove`2`n`(SplittingNode(V,C),_$)->_$`dSplittingTree(V,C)``1034408
oremove`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1034600
oremove`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1034783
oremove`2`x`(S,_$)->_$`cCollection(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1034976
oremove`3`x`((S)->Boolean,_$,Integer)->_$`dMultiset(S)``1035133
oremove`3`x`(S,_$,Integer)->_$`dMultiset(S)``1035419
orename!`2`x`(_$,OutputForm)->_$`cRealClosedField``1035657
orename`2`x`(_$,OutputForm)->_$`cRealClosedField``1035726
oreopen!`2`x`(_$,String)->_$`cFileCategory(Name,S)``1035797
oreorder`2`n`(_$,List(Integer))->_$`dDistributedMultivariatePolynomial(vl,R)``1035990
oreorder`2`n`(_$,List(Integer))->_$`dGeneralDistributedMultivariatePolynomial(vl,R,E)``1036134
oreorder`2`n`(_$,List(Integer))->_$`dHomogeneousDistributedMultivariatePolynomial(vl,R)``1036278
orepSq`2`n`(Vector(GF),NonNegativeInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1036422
orepack1`4`n`(MPT,U32Vector,Integer,MD)->Void`cModularAlgebraicGcdOperations(MP,MPT,MD)``1036555
orepack_polys`4`n`(Integer,Vector(Integer),SortedExponentVector,PrimitiveArray(U32Vector))->Record(nvars:Integer,offsetdata:Vector(Integer),expdata:SortedExponentVector,coeffdata:U32Vector)`dVectorModularReconstructor``1036713
orepeatUntilLoop`2`n`(Switch,_$)->_$`dFortranCode``1036916
orepeatedIndex`1`n`(S)->List(PositiveInteger)`xJetBundleCategory&(S)``0
orepeatedIndex`1`n`(_$)->List(PositiveInteger)`cJetBundleCategory``1036998
orepeating?`2`x`(List(S),_$)->Boolean`dStream(S)`has(S,SetCategory)`1037112
orepeating`1`x`(List(S))->_$`dStream(S)``1037250
oreplaceDiffs`3`n`(F,BasicOperator,Symbol)->F`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oreplaceKthElement`3`n`(_$,PositiveInteger,PositiveInteger)->Union(_$,"failed")`dSetOfMIntegersInOneToN(m,n)``1037334
oreplace`3`x`(_$,UniversalSegment(Integer),_$)->_$`cStringAggregate``1037535
orepresentationType`0`x`()->Union("prime","polynomial","normal","cyclic")`cFiniteFieldCategory``1037643
orepresents`1`n`(Vector(F))->S`xFiniteAlgebraicExtensionField&(S,F)``0
orepresents`1`n`(Vector(Fraction(UP)))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`1`n`(Vector(R))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`1`n`(Vector(R))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`1`n`(Vector(R))->S`xOctonionCategory&(S,R)``0
orepresents`1`n`(Vector(R))->_$`cFramedModule(R)``1037800
orepresents`1`x`(Vector(F))->_$`cFiniteAlgebraicExtensionField(F)``1037954
orepresents`2`n`(Vector(Fraction(UP)),Vector(S))->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedAlgebra&(S,R,UP)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xFramedNonAssociativeAlgebra&(S,R)``0
orepresents`2`n`(Vector(R),Vector(S))->S`xOctonionCategory&(S,R)``0
orepresents`2`n`(Vector(UP),UP)->S`xFunctionFieldCategory&(S,F,UP,UPUP)``0
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankAlgebra(R,UP)``1038108
orepresents`2`x`(Vector(R),Vector(_$))->_$`cFiniteRankNonAssociativeAlgebra(R)``1038207
orepresents`2`x`(Vector(UP),UP)->_$`cFunctionFieldCategory(F,UP,UPUP)``1038331
oreseed`1`x`(Integer)->Void`pRandomNumberSource``1038435
oresetBadValues`1`n`(_$)->_$`dPattern(R)``1038509
oresetNew`0`x`()->Void`dSymbol``1038669
oresetVariableOrder`0`x`()->Void`pUserDefinedVariableOrdering``1038796
oreset`1`n`(_$)->Void`dTwoDimensionalViewport``1038920
oreset`1`x`(_$)->Void`dThreeDimensionalViewport``1039136
oreshape`2`x`(List(T),CartesianTensor(minix,dim,S))->CartesianTensor(minix,dim,T)`pCartesianTensorFunctions2(minix,dim,S,T)``1039356
oresize`3`n`(_$,PositiveInteger,PositiveInteger)->Void`dTwoDimensionalViewport``1039479
oresize`3`x`(_$,PositiveInteger,PositiveInteger)->Void`dThreeDimensionalViewport``1039730
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`(_$)->_$`dFreeMagma(VarSet)``1039985
orest`1`n`(_$)->_$`dFreeMonoid(S)``1040122
orest`1`n`(_$)->_$`dPoincareBirkhoffWittLyndonBasis(VarSet)``1040186
orest`1`x`(_$)->Union(_$,"failed")`cTriangularSetCategory(R,E,V,P)``1040263
orest`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1040427
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)``1040567
oresult`1`n`(_$)->List(Record(val:V,tower:C))`dSplittingTree(V,C)``1040689
oresultantEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1040894
oresultantReduitEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1041005
oresultantReduit`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1041164
oresultantSet`1`n`(List(SparseUnivariatePolynomial(Polynomial(TheField))))->List(Polynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``0
oresultant`2`n`(polR,polR)->R`pPseudoRemainderSequence(R,polR)``1041258
oresultant`2`x`(_$,_$)->R`cUnivariatePolynomialCategory(R)`has(R,CommutativeRing)`1041337
oresultant`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1041433
oresultant`3`n`(S,S,VarSet)->S`xPolynomialCategory&(S,R,E,VarSet)``0
oresultant`3`n`(U32Vector,U32Vector,Integer)->Integer`pU32VectorPolynomialOperations``1041647
oresultant`3`x`(_$,_$,VarSet)->_$`cPolynomialCategory(R,E,VarSet)`has(R,CommutativeRing)`1041749
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Fraction(Integer),"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(Integer,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(R,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xDifferentialVariableCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xFullyRetractableTo&(A,S)``0
oretractIfCan`1`n`(A)->Union(S,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(Symbol,"failed")`xQuotientFieldCategory&(A,S)``0
oretractIfCan`1`n`(A)->Union(V,"failed")`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`cFortranFunctionCategory``1041888
oretractIfCan`1`n`(Expression(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1042017
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1042359
oretractIfCan`1`n`(Expression(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1042488
oretractIfCan`1`n`(Expression(R))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1042830
oretractIfCan`1`n`(ExtP)->Union(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),"failed")`pNormRetractPackage(F,ExtF,SUEx,ExtP,n)``1043172
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`cFortranFunctionCategory``1043216
oretractIfCan`1`n`(Fraction(Polynomial(Float)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1043345
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`cFortranFunctionCategory``1043687
oretractIfCan`1`n`(Fraction(Polynomial(Integer)))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1043816
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1044158
oretractIfCan`1`n`(JetBundleExpression(JB))->Union(_$,"failed")`dJetBundleXExpression(JB)``1044246
oretractIfCan`1`n`(List(P))->Union(S,"failed")`xTriangularSetCategory&(S,R,E,V,P)``0
oretractIfCan`1`n`(Matrix(Expression(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1044368
oretractIfCan`1`n`(Matrix(Expression(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1044497
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1044626
oretractIfCan`1`n`(Matrix(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1044755
oretractIfCan`1`n`(Matrix(Polynomial(Float)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1044884
oretractIfCan`1`n`(Matrix(Polynomial(Integer)))->Union(_$,"failed")`cFortranMatrixFunctionCategory``1045013
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`cFortranFunctionCategory``1045142
oretractIfCan`1`n`(Polynomial(Float))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1045271
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(Integer))->Union(_$,"failed")`cFortranFunctionCategory``1045613
oretractIfCan`1`n`(Polynomial(Integer))->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1045742
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(JB,"failed")`xJetBundleFunctionCategory&(S,JB)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xExpressionSpace&(S)``0
oretractIfCan`1`n`(S)->Union(Kernel(S),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Polynomial(R),"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xComplexCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xMonogenicAlgebra&(S,R,UP)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xOctonionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xQuaternionCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xSquareMatrixCategory&(S,ndim,R,Row,Col)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(R,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(SingletonAsOrderedSet,"failed")`xUnivariatePolynomialCategory&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xFunctionSpace&(S,R)``0
oretractIfCan`1`n`(S)->Union(Symbol,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(ULS,"failed")`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
oretractIfCan`1`n`(S)->Union(UTS,"failed")`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
oretractIfCan`1`n`(S)->Union(V,"failed")`xRecursivePolynomialCategory&(S,R,E,V)``0
oretractIfCan`1`n`(S)->Union(VarSet,"failed")`xPolynomialCategory&(S,R,E,VarSet)``0
oretractIfCan`1`n`(S)->Union(_$,"failed")`cRetractableFrom(S)``1046084
oretractIfCan`1`n`(Symbol)->Union(_$,"failed")`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1046222
oretractIfCan`1`n`(Vector(Expression(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1046496
oretractIfCan`1`n`(Vector(Expression(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1046625
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Float))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1046754
oretractIfCan`1`n`(Vector(Fraction(Polynomial(Integer))))->Union(_$,"failed")`cFortranVectorFunctionCategory``1046883
oretractIfCan`1`n`(Vector(Polynomial(Float)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1047012
oretractIfCan`1`n`(Vector(Polynomial(Integer)))->Union(_$,"failed")`cFortranVectorFunctionCategory``1047141
oretractIfCan`1`x`(Any)->Union(S,"failed")`pAnyFunctions1(S)``1047270
oretractIfCan`1`x`(Polynomial(Fraction(Integer)))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1047436
oretractIfCan`1`x`(Polynomial(Integer))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1047563
oretractIfCan`1`x`(Polynomial(R))->Union(_$,"failed")`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1047690
oretractIfCan`1`x`(_$)->Union(S,"failed")`cRetractableTo(S)``1047817
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`(Expression(Float))->_$`cFortranFunctionCategory``1047967
oretract`1`n`(Expression(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1048091
oretract`1`n`(Expression(Integer))->_$`cFortranFunctionCategory``1048420
oretract`1`n`(Expression(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1048544
oretract`1`n`(Expression(R))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1048873
oretract`1`n`(Fraction(Polynomial(Float)))->_$`cFortranFunctionCategory``1049202
oretract`1`n`(Fraction(Polynomial(Float)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1049326
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`cFortranFunctionCategory``1049655
oretract`1`n`(Fraction(Polynomial(Integer)))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1049779
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleLinearFunction(JB,D)`has(D,SIGNATURE(retractIfCan,Union(D,"failed")(JetBundleExpression(JB))))`1050108
oretract`1`n`(JetBundleExpression(JB))->_$`dJetBundleXExpression(JB)``1050235
oretract`1`n`(Matrix(Expression(Float)))->_$`cFortranMatrixFunctionCategory``1050362
oretract`1`n`(Matrix(Expression(Integer)))->_$`cFortranMatrixFunctionCategory``1050486
oretract`1`n`(Matrix(Fraction(Polynomial(Float))))->_$`cFortranMatrixFunctionCategory``1050610
oretract`1`n`(Matrix(Fraction(Polynomial(Integer))))->_$`cFortranMatrixFunctionCategory``1050734
oretract`1`n`(Matrix(Polynomial(Float)))->_$`cFortranMatrixFunctionCategory``1050858
oretract`1`n`(Matrix(Polynomial(Integer)))->_$`cFortranMatrixFunctionCategory``1050982
oretract`1`n`(Polynomial(Float))->_$`cFortranFunctionCategory``1051106
oretract`1`n`(Polynomial(Float))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Float))`1051230
oretract`1`n`(Polynomial(Fraction(Integer)))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(Polynomial(Integer))->_$`cFortranFunctionCategory``1051559
oretract`1`n`(Polynomial(Integer))->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)`has(R,RetractableTo(Integer))`1051683
oretract`1`n`(Polynomial(R))->S`xRecursivePolynomialCategory&(S,R,E,V)``0
oretract`1`n`(S)->A`xRetractableFrom&(A,S)``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`n`(S)->_$`cRetractableFrom(S)``1052012
oretract`1`n`(Symbol)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1052135
oretract`1`n`(Vector(Expression(Float)))->_$`cFortranVectorFunctionCategory``1052396
oretract`1`n`(Vector(Expression(Integer)))->_$`cFortranVectorFunctionCategory``1052520
oretract`1`n`(Vector(Fraction(Polynomial(Float))))->_$`cFortranVectorFunctionCategory``1052644
oretract`1`n`(Vector(Fraction(Polynomial(Integer))))->_$`cFortranVectorFunctionCategory``1052768
oretract`1`n`(Vector(Polynomial(Float)))->_$`cFortranVectorFunctionCategory``1052892
oretract`1`n`(Vector(Polynomial(Integer)))->_$`cFortranVectorFunctionCategory``1053016
oretract`1`n`(_$)->List(D)`dJetDifferentialEquation(JB,D)``1053140
oretract`1`x`(Any)->S`pAnyFunctions1(S)``1053231
oretract`1`x`(Polynomial(Fraction(Integer)))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Fraction(Integer))),has(V,ConvertibleTo(Symbol)))`1053395
oretract`1`x`(Polynomial(Integer))->_$`cRecursivePolynomialCategory(R,E,V)`AND(has(R,Algebra(Integer)),has(V,ConvertibleTo(Symbol)))`1053562
oretract`1`x`(Polynomial(R))->_$`cRecursivePolynomialCategory(R,E,V)`has(V,ConvertibleTo(Symbol))`1053729
oretract`1`x`(_$)->S`cRetractableTo(S)``1053896
oretractable?`1`n`(_$)->Boolean`dAntiSymm(R,lVar)``1054031
oretractable?`1`n`(_$)->Boolean`dDeRhamComplex(CoefRing,listIndVar)``1054137
oretractable?`1`n`(_$)->Boolean`dFreeMagma(VarSet)``1054264
oretractable?`1`n`(_$)->Boolean`dLyndonWord(VarSet)``1054343
oretractable?`1`n`(_$)->Boolean`dPoincareBirkhoffWittLyndonBasis(VarSet)``1054422
oretractable?`1`x`(Any)->Boolean`pAnyFunctions1(S)``1054518
oreturnType!`1`n`(Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1054616
oreturnType!`2`n`(Symbol,Union(fst:FortranScalarType,void:"void"))->Void`dTheSymbolTable``1054740
oreturnType!`3`n`(Symbol,Union(fst:FortranScalarType,void:"void"),_$)->Void`dTheSymbolTable``1054867
oreturnTypeOf`2`n`(Symbol,_$)->Union(fst:FortranScalarType,void:"void")`dTheSymbolTable``1054994
oreturns`0`n`()->_$`dFortranCode``1055083
oreturns`1`n`(Expression(Complex(Float)))->_$`dFortranCode``1055163
oreturns`1`n`(Expression(Float))->_$`dFortranCode``1055266
oreturns`1`n`(Expression(Integer))->_$`dFortranCode``1055369
oreturns`1`n`(Expression(MachineComplex))->_$`dFortranCode``1055472
oreturns`1`n`(Expression(MachineFloat))->_$`dFortranCode``1055575
oreturns`1`n`(Expression(MachineInteger))->_$`dFortranCode``1055678
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)``1055781
oreverse!`1`x`(_$)->_$`cDequeueAggregate(S)``1055891
oreverse!`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1056064
oreverseLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1056143
oreverse`1`n`(A)->A`xLinearAggregate&(A,S)``0
oreverse`1`n`(UP)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1056340
oreverse`1`n`(_$)->_$`dListMonoidOps(S,E,un)``1056409
oreverse`1`x`(_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1056628
oreverse`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1056712
orevert`1`n`(Stream(A))->Stream(A)`pStreamTaylorSeriesOperations(A)``1056818
orevert`1`n`(_$)->_$`dUnivariateFormalPowerSeries(Coef)``0
orevert`1`n`(_$)->_$`dUnivariateTaylorSeries(Coef,var,cen)``1057005
orewriteIdealWithHeadRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithHeadRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1057200
orewriteIdealWithQuasiMonicGenerators`3`n`(List(P),(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1057506
orewriteIdealWithRemainder`2`n`(List(P),S)->List(P)`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
orewriteIdealWithRemainder`2`x`(List(P),_$)->List(P)`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1057909
orewriteSetByReducingWithParticularGenerators`4`n`(List(P),(P)->Boolean,(P,P)->Boolean,(P,P)->P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1058193
orewriteSetWithReduction`4`n`(List(P),S,(P,P)->P,(P,P)->Boolean)->List(P)`xTriangularSetCategory&(S,R,E,V,P)``0
orewriteSetWithReduction`4`x`(List(P),_$,(P,P)->P,(P,P)->Boolean)->List(P)`cTriangularSetCategory(R,E,V,P)``1058790
orhs`1`n`(_$)->S2`dSuchThat(S1,S2)``1059618
orhs`1`x`(_$)->F`dRewriteRule(Base,R,F)``1059674
orhs`1`x`(_$)->S`dEquation(S)``1059745
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1059820
oricDsolve`1`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1059934
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1060048
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1060269
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)`has(F,AlgebraicallyClosedField)`1060436
oricDsolve`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F))->List(Fraction(UP))`pRationalRicDE(F,UP)``1060657
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator1(Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1060824
oricDsolve`3`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->List(F),(UP)->Factored(UP))->List(Fraction(UP))`pRationalRicDE(F,UP)``1061098
oridHack1`4`n`(Integer,Integer,Integer,Integer)->Integer`pRandomIntegerDistributions``1061372
oriemannZeta`1`n`(F)->F`pFunctionalSpecialFunction(R,F)``1061427
oriemannZeta`1`x`(_$)->_$`cSpecialFunctionCategory``1061485
orightAlternative?`0`n`()->Boolean`xFiniteRankNonAssociativeAlgebra&(S,R)``1061544
orightAlternative?`0`x`()->Boolean`cFiniteRankNonAssociativeAlgebra(R)``1061771
orightCharacteristicPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightCharacteristicPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)``1061998
orightDiscriminant`0`n`()->R`xFramedNonAssociativeAlgebra&(S,R)``1062158
orightDiscriminant`0`x`()->R`cFramedNonAssociativeAlgebra(R)``1062531
orightDiscriminant`1`n`(Vector(S))->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`n`(Vector(S))->R`xFramedNonAssociativeAlgebra&(S,R)``0
orightDiscriminant`1`x`(Vector(_$))->R`cFiniteRankNonAssociativeAlgebra(R)``1062904
orightDivide`2`x`(_$,_$)->Record(quotient:_$,remainder:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1063220
orightDivide`3`n`(C,C,Automorphism(R))->Record(quotient:C,remainder:C)`pUnivariateSkewPolynomialCategoryOps(R,C)`has(R,Field)`1063430
orightExactQuotient`2`n`(S,S)->Union(S,"failed")`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExactQuotient`2`x`(_$,_$)->Union(_$,"failed")`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1063687
orightExtendedGcd`2`n`(S,S)->Record(coef1:S,coef2:S,generator:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
orightExtendedGcd`2`x`(_$,_$)->Record(coef1:_$,coef2:_$,generator:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1063798
orightFactorIfCan`3`x`(UP,NonNegativeInteger,R)->Union(UP,"failed")`pUnivariatePolynomialDecompositionPackage(R,UP)``1063921
orightGcd`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightGcd`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1064211
orightLcm`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightLcm`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1064452
orightMinimalPolynomial`1`n`(S)->SparseUnivariatePolynomial(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightMinimalPolynomial`1`x`(_$)->SparseUnivariatePolynomial(R)`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1064654
orightMult`2`n`(_$,S)->_$`dListMonoidOps(S,E,un)``1064890
orightNorm`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightNorm`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1065019
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Group)`1065119
orightOne`1`x`(_$)->Union(_$,"failed")`dEquation(S)`has(S,Monoid)`1065178
orightPower`2`n`(S,NonNegativeInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagma&(S)``0
orightPower`2`n`(S,PositiveInteger)->S`xMagmaWithUnit&(S)``0
orightPower`2`x`(_$,NonNegativeInteger)->_$`cMagmaWithUnit``1065237
orightPower`2`x`(_$,PositiveInteger)->_$`cMagma``1065436
orightQuotient`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightQuotient`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1065635
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Fraction(Polynomial(R)))`dGenericNonAssociativeAlgebra(R,n,ls,gamma)`has(R,IntegralDomain)`1065830
orightRankPolynomial`0`n`()->SparseUnivariatePolynomial(Polynomial(R))`xFramedNonAssociativeAlgebra&(S,R)``1065928
orightRankPolynomial`0`x`()->SparseUnivariatePolynomial(Polynomial(R))`cFramedNonAssociativeAlgebra(R)`has(R,Field)`1066169
orightRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1066410
orightRecip`1`n`(S)->Union(S,"failed")`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRecip`1`x`(_$)->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1066577
orightRecip`1`x`(_$)->Union(_$,"failed")`cMagmaWithUnit``1066799
orightRegularRepresentation`1`n`(S)->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`1`x`(_$)->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1066990
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`n`(S,Vector(S))->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``0
orightRegularRepresentation`2`x`(_$,Vector(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1067164
orightRemainder`2`n`(S,S)->S`xUnivariateSkewPolynomialCategory&(S,R)``0
orightRemainder`2`x`(_$,_$)->_$`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1067470
orightScalarTimes!`3`n`(Matrix(R),Matrix(R),R)->Matrix(R)`pStorageEfficientMatrixOperations(R)``1067666
orightTraceMatrix`0`n`()->Matrix(R)`xFramedNonAssociativeAlgebra&(S,R)``1067863
orightTraceMatrix`0`x`()->Matrix(R)`cFramedNonAssociativeAlgebra(R)``1068153
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(_$))->Matrix(R)`cFiniteRankNonAssociativeAlgebra(R)``1068443
orightTrace`1`n`(S)->R`xFiniteRankNonAssociativeAlgebra&(S,R)``0
orightTrace`1`x`(_$)->R`cFiniteRankNonAssociativeAlgebra(R)``1068659
orightTrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
orightTrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1068754
orightTrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1068952
orightUnit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
orightUnit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1069138
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)``1069265
orightUnits`0`x`()->Union(Record(particular:_$,basis:List(_$)),"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1069390
orightZero`1`x`(_$)->_$`dEquation(S)`has(S,AbelianGroup)`1069516
oright_ext_ext_GCD`2`n`(S,S)->Record(generator:S,coef1:S,coef2:S,coefu:S,coefv:S)`xUnivariateSkewPolynomialCategory&(S,R)``0
oright_ext_ext_GCD`2`x`(_$,_$)->Record(generator:_$,coef1:_$,coef2:_$,coefu:_$,coefv:_$)`cUnivariateSkewPolynomialCategory(R)`has(R,Field)`1069575
oright`1`n`(_$)->_$`dFreeMagma(VarSet)``1069812
oright`1`n`(_$)->_$`dLyndonWord(VarSet)``1069944
oright`1`n`(_$)->_$`dOutputForm``1070077
oright`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1070146
oright`1`x`(_$)->_$`cBinaryRecursiveAggregate(S)``1070221
oright`2`n`(_$,Integer)->_$`dOutputForm``1070269
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)``1070359
orischNormalize`2`x`(F,List(Symbol))->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1070695
orischNormalize`2`x`(F,Symbol)->Record(func:F,kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1070776
orischNormalize`2`x`(List(F),List(Symbol))->Record(funcs:List(F),kers:List(Kernel(F)),vals:List(F))`pElementaryFunctionStructurePackage(R,F)``1071080
orisch_de_ext`4`n`(Integer,F,F,Symbol)->Record(ans:F,right:F,primpart:F,sol?:Boolean)`pElementaryRischDEX2(R,F)``1071309
ork4`5`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1071587
ork4`9`x`(Vector(Float),Integer,Float,Float,(Vector(Float),Vector(Float),Float)->Void,Vector(Float),Vector(Float),Vector(Float),Vector(Float))->Void`pNumericalOrdinaryDifferentialEquations``1072245
ork4a`8`x`(Vector(Float),Integer,Float,Float,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1072520
ork4f`6`x`(Vector(Float),Integer,Float,Float,Integer,(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1072865
ork4qc`14`x`(Vector(Float),Integer,Float,Record(to_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``1073377
ork4qc`7`x`(Vector(Float),Integer,Float,Record(to_try:Float,did:Float,next:Float),Float,Vector(Float),(Vector(Float),Vector(Float),Float)->Void)->Void`pNumericalOrdinaryDifferentialEquations``1073904
ormap`2`x`((Kernel(F))->F,F)->F`pElementaryFunctionStructurePackage(R,F)``1074389
oroman`1`x`(Integer)->_$`dRomanNumeral``1074499
oroman`1`x`(Symbol)->_$`dRomanNumeral``1074560
oromberg`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1074628
orombergo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1075334
oroot?`1`n`(_$)->Boolean`dSubSpace(n,R)``1076034
orootBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1076071
orootFactor`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(R,UniqueFactorizationDomain),has(F,FunctionSpace(R)))`1076168
orootKerSimp`3`x`(BasicOperator,F,NonNegativeInteger)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1076405
orootNormalize`2`x`(F,Kernel(F))->F`pElementaryFunctionStructurePackage(R,F)``1076478
orootOfIrreduciblePoly`1`x`(SparseUnivariatePolynomial(GF))->F`pFiniteFieldPolynomialPackage2(F,GF)``1076685
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(Polynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(S)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedField&(S)``0
orootOf`1`n`(SparseUnivariatePolynomial(S))->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`1`x`(Polynomial(_$))->_$`cAlgebraicallyClosedField``1076935
orootOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1077059
orootOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1077127
orootOf`2`n`(S,Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1077251
orootOf`2`n`(SparseUnivariatePolynomial(S),PositiveInteger)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedField&(S)``0
orootOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->S`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootOf`2`n`(ThePols,PositiveInteger)->Union(S,"failed")`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
orootOf`2`x`(SparseUnivariatePolynomial(_$),PositiveInteger)->Union(_$,"failed")`cRealClosedField``1077367
orootOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedField``1077479
orootOf`2`x`(ThePols,PositiveInteger)->Union(_$,"failed")`cRealRootCharacterizationCategory(TheField,ThePols)``1077595
orootOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1077686
orootOf`3`n`(SparseUnivariatePolynomial(S),PositiveInteger,OutputForm)->Union(S,"failed")`xRealClosedField&(S)``0
orootOf`3`x`(SparseUnivariatePolynomial(_$),PositiveInteger,OutputForm)->Union(_$,"failed")`cRealClosedField``1077802
orootPoly`2`n`(Fraction(UP),NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:Fraction(UP),radicand:UP)`pChangeOfVariable(F,UP,UPUP)``1077922
orootPower`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1078095
orootProduct`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1078251
orootRadius`1`n`(UP)->R`pComplexRootFindingPackage(R,UP)``1078480
orootRadius`2`n`(UP,R)->R`pComplexRootFindingPackage(R,UP)``1078695
orootSimp`1`x`(F)->F`pAlgebraicManipulations(R,F)`AND(has(R,Comparable),has(R,GcdDomain),has(R,RetractableTo(Integer)),has(F,FunctionSpace(R)))`1078821
orootSplit`1`x`(F)->F`pAlgebraicManipulations(R,F)``1079048
orootSum`3`n`(F,SparseUnivariatePolynomial(F),Symbol)->F`pAlgebraicFunction(R,F)``1079275
orootSum`3`x`(_$,SparseUnivariatePolynomial(_$),Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``0
oroot`1`n`(_$)->_$`dOutputForm``1079313
oroot`2`n`(_$,_$)->_$`dOutputForm``1079388
oroot`2`x`(SparseUnivariatePolynomial(Integer),Integer)->_$`cPAdicIntegerCategory(p)``1079472
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(Polynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(S)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`1`n`(SparseUnivariatePolynomial(S))->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`1`x`(Polynomial(_$))->List(_$)`cAlgebraicallyClosedField``1079603
orootsOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1079889
orootsOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1080119
orootsOf`2`n`(S,Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedField&(S)``0
orootsOf`2`n`(SparseUnivariatePolynomial(S),Symbol)->List(S)`xAlgebraicallyClosedFunctionSpace&(S,R)``0
orootsOf`2`x`(SparseUnivariatePolynomial(_$),Symbol)->List(_$)`cAlgebraicallyClosedField``1080410
orootsOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1080658
orotate!`1`x`(_$)->_$`cQueueAggregate(S)``1080906
orotate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1081100
orotate`3`x`(_$,Integer,Integer)->Void`dThreeDimensionalViewport``1081343
orotatex`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1081705
orotatey`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1081803
orotatez`1`x`(R)->_$`dDenavitHartenbergMatrix(R)``1081901
oroughBase?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughBase?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1081999
oroughBasicSet`1`n`(List(P))->Union(Record(bas:GeneralTriangularSet(R,E,V,P),top:List(P)),"failed")`pPolynomialSetUtilitiesPackage(R,E,V,P)``1082157
oroughEqualIdeals?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughEqualIdeals?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1082273
oroughSubIdeal?`2`n`(S,S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughSubIdeal?`2`x`(_$,_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1082465
oroughUnitIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
oroughUnitIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1082682
oround`1`n`(S)->S`xRealNumberSystem&(S)``0
oround`1`x`(_$)->_$`cRealNumberSystem``1082814
orouteArrowWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1082878
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteArrows`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteArrows`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1082985
orouteNodeWeight`2`n`(_$,List(NonNegativeInteger))->W`dWeightedGraph(S,W)``1083192
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xFiniteGraph&(A,S)``0
orouteNodes`3`n`(A,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`xPoset&(A,S)``0
orouteNodes`3`n`(_$,NonNegativeInteger,NonNegativeInteger)->List(NonNegativeInteger)`cFiniteGraph(S)``1083298
orowEchLocal`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1083503
orowEch`1`n`(Matrix(R))->Matrix(R)`pModularHermitianRowReduction(R)``1083671
orowEchelonLocal`3`n`(Matrix(R),R,R)->Matrix(R)`pModularHermitianRowReduction(R)``1083778
orowEchelon`1`n`(M)->M2`pInnerMatrixQuotientFieldFunctions(R,Row,Col,M,QF,Row2,Col2,M2)``1083968
orowEchelon`1`n`(M)->M`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1084101
orowEchelon`1`n`(Matrix(LO))->Matrix(LO)`pOrePolynomialMatrixOperations(F,LO)``1084182
orowEchelon`1`n`(_$)->Record(Ech:_$,Lt:Matrix(D),Pivots:List(D),Rank:NonNegativeInteger)`dSparseEchelonMatrix(C,D)``1084263
orowEchelon`1`x`(M)->M`pMatrixLinearAlgebraFunctions(R,Row,Col,M)`has(R,EuclideanDomain)`1084565
orowEchelon`1`x`(_$)->_$`cMatrixCategory(R,Row,Col)`has(R,EuclideanDomain)`1084646
orowEchelon`1`x`(_$)->_$`cRectangularMatrixCategory(m,n,R,Row,Col)`has(R,EuclideanDomain)`1084727
orowEchelon`2`n`(Matrix(R),R)->Matrix(R)`pModularHermitianRowReduction(R)``1084808
orowEchelon`3`n`(Matrix(LO),F,List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pOrePolynomialMatrixOperations(F,LO)``1085101
orowMatrix`2`n`(M,Integer)->M`pMatrixManipulation(R,Row,Col,M)``1085324
orowSlice`1`n`(S)->Segment(Integer)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orowSlice`1`x`(_$)->Segment(Integer)`cTwoDimensionalArrayCategory(R,Row,Col)``1085432
orow_operation_base`6`n`(M,Integer,Integer,Integer,Integer,R)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1085580
orow_operation_modular`7`n`(M,Integer,Integer,Integer,Integer,R,Integer)->Void`pInnerMatrixLinearAlgebraFunctions(R,Row,Col,M)``1085648
orow`2`n`(S,Integer)->Row`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
orow`2`n`(_$,Integer)->Record(Indices:List(C),Entries:List(D))`dSparseEchelonMatrix(C,D)``1085719
orow`2`x`(_$,Integer)->Row`cRectangularMatrixCategory(m,n,R,Row,Col)``1085804
orow`2`x`(_$,Integer)->Row`cTwoDimensionalArrayCategory(R,Row,Col)``1085930
orows`2`n`(M,List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1086049
orows`2`n`(M,Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1086142
orquo`2`n`(_$,S)->Union(_$,"failed")`dFreeMonoid(S)``1086235
orquo`2`n`(_$,_$)->Union(_$,"failed")`dFreeMonoid(S)``1086320
orquo`2`x`(XRecursivePolynomial(VarSet,R),_$)->XRecursivePolynomial(VarSet,R)`cFreeLieAlgebra(VarSet,R)``1086515
orquo`2`x`(_$,FreeMonoid(vl))->_$`cXFreeAlgebra(vl,R)``1086600
orquo`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)``1086685
orquo`2`x`(_$,vl)->_$`cXFreeAlgebra(vl,R)``1086770
orroot`2`n`(R,NonNegativeInteger)->Record(exponent:NonNegativeInteger,coef:F,radicand:F)`pPolynomialRoots(E,V,R,P,F)``1086868
orspace`2`n`(Integer,Integer)->_$`dOutputForm``1086965
orst`1`x`(_$)->_$`cLazyStreamAggregate(S)``1087061
orubiksGroup`0`x`()->PermutationGroup(Integer)`pPermutationGroupExamples``1087251
orule`2`x`(F,F)->_$`dRewriteRule(Base,R,F)``1089880
orule`3`x`(F,F,List(Symbol))->_$`dRewriteRule(Base,R,F)``1090025
orules`1`x`(_$)->List(RewriteRule(Base,R,F))`dRuleset(Base,R,F)``1090421
oruleset`1`x`(List(RewriteRule(Base,R,F)))->_$`dRuleset(Base,R,F)``1090485
orur`1`n`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1090573
orur`2`n`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1090638
orur`2`n`(TS,Boolean)->List(TS)`pInternalRationalUnivariateRepresentationPackage(R,E,V,P,TS)``1091784
orur`3`n`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pRationalUnivariateRepresentationPackage(R,ls)``1092268
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1092425
osPol`1`n`(Record(lcmfij:Expon,totdeg:NonNegativeInteger,poli:Dpol,polj:Dpol))->Dpol`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``1092458
osafeCeiling`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1092470
osafeFloor`1`n`(R)->Integer`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1092605
osafetyMargin`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1092756
osafetyMargin`1`n`(NonNegativeInteger)->NonNegativeInteger`pGaloisGroupUtilities(R)`has(R,FloatingPointSystem)`1092911
osafety`1`n`(List(GuessOption))->NonNegativeInteger`dGuessOptionFunctions0``1093110
osafety`1`x`(NonNegativeInteger)->_$`dGuessOption``1093177
osameFace?`2`n`(_$,_$)->Boolean`dCubicalFacet``1093331
osameFace?`2`n`(_$,_$)->Boolean`dOrientedFacet``1093418
osamplePoint`1`n`(_$)->List(TheField)`dCell(TheField)``1093504
osamplePoint`1`n`(_$)->TheField`dSimpleCell(TheField,ThePols)``1093570
osample`0`n`()->S`xAbelianMonoid&(S)``0
osample`0`n`()->S`xAggregate&(S)``0
osample`0`n`()->S`xMagmaWithUnit&(S)``0
osample`0`x`()->_$`cAbelianMonoid``1093636
osample`0`x`()->_$`cAggregate``1093683
osample`0`x`()->_$`cMagmaWithUnit``1093730
osample`0`x`()->_$`dCartesianTensor(minix,dim,R)``1093777
osample`0`x`()->_$`dSymbol``1093830
osatisfy?`2`n`(D,Pattern(R))->Boolean`pPatternFunctions1(R,D)``1093876
osatisfy?`2`n`(List(D),Pattern(R))->Boolean`pPatternFunctions1(R,D)``1093988
osatisfy?`2`n`(_$,Pattern(R))->Union(Boolean,"failed")`dPatternMatchResult(R,S)``1094133
osaturate`2`x`(_$,DPoly)->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1094367
osaturate`3`x`(_$,DPoly,List(VarSet))->_$`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1094515
osave`0`n`()->_$`dFortranCode``1094684
osayLength`1`x`(List(String))->Integer`pDisplayPackage``1094751
osayLength`1`x`(String)->Integer`pDisplayPackage``1094842
osay`1`x`(List(String))->Void`pDisplayPackage``1094924
osay`1`x`(String)->Void`pDisplayPackage``1094989
oscalarMatrix`1`x`(R)->_$`cSquareMatrixCategory(ndim,R,Row,Col)``1095045
oscalarMatrix`2`n`(NonNegativeInteger,R)->S`xMatrixCategory&(S,R,Row,Col)``0
oscalarMatrix`2`x`(NonNegativeInteger,R)->_$`cMatrixCategory(R,Row,Col)``1095175
oscalarTypeOf`1`n`(_$)->Union(fst:FortranScalarType,void:"void")`dFortranType``1095310
oscaleRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1095382
oscale`1`n`(F)->_$`dMoebiusTransform(F)``1095486
oscale`2`n`(_$,F)->_$`dMoebiusTransform(F)``1095594
oscale`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1095695
oscale`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1095814
oscanOneDimSubspaces`2`x`(List(Vector(R)),Integer)->Vector(R)`pRepresentationPackage2(R)`AND(has(R,Field),has(R,Finite))`1096134
oscan`3`x`((A,B)->B,DirectProduct(dim,A),B)->DirectProduct(dim,B)`pDirectProductFunctions2(dim,A,B)``1096830
oscan`3`x`((A,B)->B,List(A),B)->List(B)`pListFunctions2(A,B)``1097062
oscan`3`x`((A,B)->B,OneDimensionalArray(A),B)->OneDimensionalArray(B)`pOneDimensionalArrayFunctions2(A,B)``1097479
oscan`3`x`((A,B)->B,PrimitiveArray(A),B)->PrimitiveArray(B)`pPrimitiveArrayFunctions2(A,B)``1097810
oscan`3`x`((A,B)->B,Vector(A),B)->Vector(B)`pVectorFunctions2(A,B)``1098135
oscan`3`x`((S,R)->R,A,R)->B`pFiniteLinearAggregateFunctions2(S,A,R,B)``1098367
oscan`3`x`((S,R)->R,A,R)->B`pFiniteSetAggregateFunctions2(S,A,R,B)``1098691
oscan`3`x`(B,(A,B)->B,Stream(A))->Stream(B)`pStreamFunctions2(A,B)``1099015
oschema`2`n`(polR,polR)->List(NonNegativeInteger)`pPseudoRemainderSequence(R,polR)``1099210
oschwerpunkt`1`n`(UP)->Complex(R)`pComplexRootFindingPackage(R,UP)``1099319
oscreenCoordX`1`n`(_$)->DoubleFloat`cSPointCategory``1099579
oscreenCoordY`1`n`(_$)->DoubleFloat`cSPointCategory``1099667
oscreenCoordZ`1`n`(_$)->DoubleFloat`cSPointCategory``1099755
oscreenCoords`1`n`(_$)->List(DoubleFloat)`cSPointCategory``1099845
oscreenResolution3D`0`n`()->Integer`dPlot3D``1099914
oscreenResolution`0`n`()->Integer`dPlot``1099995
oscreenResolution`0`x`()->Integer`pGraphicsDefaults``1100058
oscreenResolution`1`x`(Integer)->Integer`pGraphicsDefaults``1100131
oscript`2`x`(_$,List(List(OutputForm)))->_$`dSymbol``1100205
oscript`2`x`(_$,Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm)))->_$`dSymbol``1100561
oscripted?`1`x`(_$)->Boolean`dSymbol``1100762
oscripts`1`x`(_$)->Record(sub:List(OutputForm),sup:List(OutputForm),presup:List(OutputForm),presub:List(OutputForm),args:List(OutputForm))`dSymbol``1100844
oscripts`2`n`(_$,List(_$))->_$`dOutputForm``1100906
ose2rfi`1`n`(List(Symbol))->List(Fraction(Polynomial(R)))`pParametricLinearEquations(R,Var,Expon,GR)``1101128
osearch`2`x`(Key,_$)->Union(Entry,"failed")`cKeyedDictionary(Key,Entry)``1101187
osec2cos`1`x`(F)->F`pTranscendentalManipulations(R,F)``1101395
osecIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1101493
osec`1`n`(F)->F`pElementaryFunction(R,F)``1101580
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)``1101641
osec`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1101708
osec`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1101775
osec`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1101843
osec`1`x`(_$)->_$`cTrigonometricFunctionCategory``1101913
osech2cosh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1101966
osechIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1102068
osech`1`n`(F)->F`pElementaryFunction(R,F)``1102157
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)``1102230
osech`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1102313
osech`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1102396
osech`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1102476
osech`1`x`(_$)->_$`cHyperbolicFunctionCategory``1102558
osecond`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
osecond`1`n`(_$)->B`dProduct(A,B)``1102623
osecond`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1102687
oseed`0`x`()->Integer`pRandomNumberSource``1102792
osegment`1`x`(S)->_$`dUniversalSegment(S)``1102845
osegment`1`x`(_$)->Segment(S)`dSegmentBinding(S)``1102927
osegment`2`x`(S,S)->_$`cSegmentCategory(S)``1103131
oselect!`2`n`((S)->Boolean,A)->A`xDictionary&(A,S)``0
oselect!`2`n`((S)->Boolean,A)->A`xListAggregate&(A,S)``0
oselect!`2`x`((S)->Boolean,_$)->_$`cDictionaryOperations(S)`has(_$,finiteAggregate)`1103216
oselect!`2`x`((S)->Boolean,_$)->_$`cExtensibleLinearAggregate(S)``1103363
oselectAndPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1103479
oselectOrPolynomials`2`n`(List((P)->Boolean),List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1103728
oselectPolynomials`2`n`((P)->Boolean,List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1103975
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`(_$,NonNegativeInteger)->S`dTuple(S)``1104180
oselect`2`x`((S)->Boolean,_$)->_$`cCollection(S)`has(_$,finiteAggregate)`1104279
oselect`2`x`((S)->Boolean,_$)->_$`cLazyStreamAggregate(S)``1104453
oselect`2`x`((S)->Boolean,_$)->_$`dInfiniteTuple(S)``1104632
oselect`2`x`(_$,V)->Union(P,"failed")`cTriangularSetCategory(R,E,V,P)``1104699
osemiDegreeSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1104807
osemiDiscriminantEuclidean`1`n`(polR)->Record(coef2:polR,discriminant:R)`pPseudoRemainderSequence(R,polR)``1105018
osemiIndiceSubResultantEuclidean`3`n`(polR,polR,NonNegativeInteger)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1105169
osemiLastSubResultantEuclidean`2`n`(polR,polR)->Record(coef2:polR,subResultant:polR)`pPseudoRemainderSequence(R,polR)``1105378
osemiResultantEuclidean1`2`n`(polR,polR)->Record(coef1:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1105576
osemiResultantEuclidean2`2`n`(polR,polR)->Record(coef2:polR,resultant:R)`pPseudoRemainderSequence(R,polR)``1105691
osemiResultantReduitEuclidean`2`n`(polR,polR)->Record(coef2:polR,resultantReduit:R)`pPseudoRemainderSequence(R,polR)`has(R,GcdDomain)`1105846
osemiSubResultantGcdEuclidean1`2`n`(polR,polR)->Record(coef1:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1106007
osemiSubResultantGcdEuclidean2`2`n`(polR,polR)->Record(coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1106223
osemicolonSeparate`1`n`(List(_$))->_$`dOutputForm``1106479
osendGraphImage`1`n`(_$)->Void`dGraphImage``1106582
oseparant`1`n`(A)->A`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oseparant`1`x`(_$)->_$`cDifferentialPolynomialCategory(R,S,V,E)``1106865
oseparateDegrees`1`x`(FP)->List(Record(deg:NonNegativeInteger,prod:FP))`pDistinctDegreeFactorize(F,FP)``1106990
oseparateFactors`1`x`(List(Record(deg:NonNegativeInteger,prod:FP)))->List(FP)`pDistinctDegreeFactorize(F,FP)``1107142
oseparateFactors`2`x`(List(Record(factor:U,degree:Integer)),Integer)->List(U)`pModularDistinctDegreeFactorizer(U)``1107308
oseparate`1`n`(Fraction(UP))->Record(polyPart:_$,fracPart:Fraction(UP))`dLaurentPolynomial(R,UP)`has(R,Field)`1107492
oseparate`1`n`(_$)->List(_$)`dSubSpace(n,R)``1107532
oseparate`2`n`(S,S)->Record(primePart:S,commonPart:S)`xUnivariatePolynomialCategory&(S,R)``0
oseparate`2`x`(_$,_$)->Record(primePart:_$,commonPart:_$)`cUnivariatePolynomialCategory(R)`has(R,GcdDomain)`1107698
osequence`1`n`(Stream(R))->_$`cSequenceCategory(R)``1107835
osequence`2`n`((R)->R,R)->_$`cSequenceCategory(R)``1107903
osequences`1`x`(List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1108057
osequences`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1108273
oseriesSolve`2`n`((UTSSMPF)->UTSSMPF,List(F))->UTSF`pTaylorSolve(F,UTSF,UTSSMPF)``0
oseriesSolve`4`n`(F,BasicOperator,Symbol,List(F))->UTSF`pExpressionSolve(R,F,UTSF,UTSSMPF)``0
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1108645
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1108894
oseriesSolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1109005
oseriesSolve`4`x`(F,BasicOperator,Equation(F),Equation(F))->Any`pExpressionSpaceODESolver(R,F)``1109441
oseriesSolve`4`x`(F,BasicOperator,Equation(F),F)->Any`pExpressionSpaceODESolver(R,F)``1109562
oseriesSolve`4`x`(F,BasicOperator,Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1109681
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1109830
oseriesSolve`4`x`(List(Equation(F)),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1110265
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(Equation(F)))->Any`pExpressionSpaceODESolver(R,F)``1110484
oseriesSolve`4`x`(List(F),List(BasicOperator),Equation(F),List(F))->Any`pExpressionSpaceODESolver(R,F)``1110723
oseriesToOutputForm`5`n`(Stream(Record(k:Integer,c:Coef)),Reference(OrderedCompletion(Integer)),Symbol,Coef,Fraction(Integer))->OutputForm`dInnerSparseUnivariatePowerSeries(Coef)``1110930
oseries`1`n`(Stream(Coef))->_$`dInnerTaylorSeries(Coef)``1111038
oseries`1`n`(Stream(Record(k:Integer,c:Coef)))->_$`dInnerSparseUnivariatePowerSeries(Coef)``1111468
oseries`1`n`(Stream(SMP))->_$`dSparseMultivariateTaylorSeries(Coef,Var,SMP)``1111667
oseries`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1111740
oseries`1`x`(Stream(Coef))->_$`cUnivariateTaylorSeriesCategory(Coef)``1111921
oseries`1`x`(Stream(Record(k:Integer,c:Coef)))->_$`cUnivariateLaurentSeriesCategory(Coef)``1112021
oseries`1`x`(Stream(Record(k:NonNegativeInteger,c:Coef)))->_$`cUnivariateTaylorSeriesCategory(Coef)``1112220
oseries`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1112419
oseries`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1112480
oseries`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1112567
oseries`2`x`(FE,Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1112673
oseries`2`x`(NonNegativeInteger,Stream(Record(k:Fraction(Integer),c:Coef)))->_$`cUnivariatePuiseuxSeriesCategory(Coef)``1112916
oseries`3`x`((Integer)->FE,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1113229
oseries`3`x`(FE,Equation(FE),Fraction(Integer))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1113426
oseries`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1113591
oseries`4`x`((Fraction(Integer))->FE,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1113677
oseries`4`x`(FE,Symbol,Equation(FE),UniversalSegment(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1113923
oseries`5`x`(FE,Symbol,Equation(FE),UniversalSegment(Fraction(Integer)),Fraction(Integer))->Any`pGenerateUnivariatePowerSeries(R,FE)``1114114
osetAdaptive3D`1`n`(Boolean)->Boolean`dPlot3D``1114358
osetAdaptive`1`n`(Boolean)->Boolean`dPlot``1114477
osetArr`2`n`(_$,List(List(Boolean)))->Void`cPoset(S)``1114590
osetClipValue`1`x`(DoubleFloat)->DoubleFloat`pDrawComplex``1114636
osetClosed`2`n`(_$,Boolean)->Boolean`dTubePlot(Curve)``1114759
osetColumn!`3`n`(S,Integer,Col)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetColumn!`3`x`(_$,Integer,Col)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1114934
osetCondition!`2`n`(_$,C)->_$`dSplittingNode(V,C)``1115022
osetDifference`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1115170
osetEmpty!`1`n`(_$)->_$`dSplittingNode(V,C)``1115344
osetEpilogue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1115412
osetEpilogue!`2`x`(_$,List(String))->List(String)`dTexFormat``1115522
osetErrorBound`1`n`(R)->R`pComplexRootFindingPackage(R,UP)``1115624
osetFieldInfo`2`n`(Vector(List(Record(value:GF,index:SingleInteger))),GF)->Void`pInnerNormalBasisFieldFunctions(GF)``1115920
osetFormula!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1116111
osetGcdMode`1`n`(Symbol)->Symbol`dSparseEchelonMatrix(C,D)`has(D,GcdDomain)`1116219
osetImagSteps`1`x`(Integer)->Integer`pDrawComplex``1116401
osetIntersection`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1116552
osetLabelValue`1`n`(SingleInteger)->SingleInteger`dFortranCode``1116734
osetLegalFortranSourceExtensions`1`n`(List(String))->List(String)`pFortranPackage``1116818
osetMaxPoints3D`1`n`(Integer)->Integer`dPlot3D``1116883
osetMaxPoints`1`n`(Integer)->Integer`dPlot``1116972
osetMinPoints3D`1`n`(Integer)->Integer`dPlot3D``1117058
osetMinPoints`1`n`(Integer)->Integer`dPlot``1117147
osetMode`2`x`(String,Boolean)->Boolean`dCliffordAlgebra(n,K,bLin)``1117233
osetMult!`2`n`(_$,Integer)->_$`dOrientedFacet``1117308
osetMult!`2`n`(_$,Integer)->_$`dProductFacet``1117339
osetMult`2`n`(_$,Integer)->_$`dCubicalFacet``1117370
osetNotation`1`n`(Symbol)->Symbol`cJetBundleCategory``1117401
osetNotation`1`n`(Symbol)->Void`cJetBundleFunctionCategory(JB)``0
osetNotation`1`n`(Symbol)->Void`xJetBundleFunctionCategory&(S,JB)``0
osetOfMinN`1`n`(List(PositiveInteger))->_$`dSetOfMIntegersInOneToN(m,n)``1117496
osetOrder`1`n`(List(S))->Void`pUserDefinedPartialOrdering(S)``1117671
osetOrder`2`n`(List(S),List(S))->Void`pUserDefinedPartialOrdering(S)``1118036
osetOutMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1118490
osetPoly`1`n`(Rep)->Rep`dModMonic(R,Rep)``1119097
osetPosition`2`x`(_$,NonNegativeInteger)->Void`cCachableSet``1119136
osetPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1119215
osetPrologue!`2`x`(_$,List(String))->List(String)`dScriptFormulaFormat``1119335
osetPrologue!`2`x`(_$,List(String))->List(String)`dTexFormat``1119445
osetProperties`2`x`(_$,AssociationList(Symbol,None))->_$`dBasicOperator``1119547
osetProperty`3`x`(_$,Symbol,None)->_$`dBasicOperator``1119713
osetRealSteps`1`x`(Integer)->Integer`pDrawComplex``1119908
osetRedMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1120054
osetRow!`3`n`(S,Integer,Row)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetRow!`3`n`(_$,Integer,Record(Indices:List(C),Entries:List(D)))->Void`dSparseEchelonMatrix(C,D)``1120364
osetRow!`3`x`(_$,Integer,Row)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1120486
osetRow!`4`n`(_$,Integer,List(C),List(D))->Void`dSparseEchelonMatrix(C,D)``1120568
osetScreenResolution3D`1`n`(Integer)->Integer`dPlot3D``1120720
osetScreenResolution`1`n`(Integer)->Integer`dPlot``1120814
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`dJetDifferentialEquation(JB,D)``1120890
osetSimpMode`1`n`(NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1121170
osetSimplifyDenomsFlag`1`x`(Boolean)->Boolean`dExpression(R)`has(R,IntegralDomain)`1121287
osetStatus!`2`n`(_$,Boolean)->_$`dSplittingNode(V,C)``1121477
osetStatus`2`n`(_$,Union(Boolean,"failed"))->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1121619
osetTex!`2`x`(_$,List(String))->List(String)`dTexFormat``1121975
osetTopPredicate`3`n`(_$,List(Symbol),Any)->_$`dPattern(R)``1122067
osetTransform!`2`n`(_$,STransform(PT))->Void`dScene(PT)``1122206
osetUnion`2`x`(_$,_$)->_$`dList(S)`has(S,BasicType)`1122304
osetValue!`2`n`(_$,V)->_$`dSplittingNode(V,C)``1122475
osetVariableOrder`1`x`(List(Symbol))->Void`pUserDefinedVariableOrdering``1122615
osetVariableOrder`2`x`(List(Symbol),List(Symbol))->Void`pUserDefinedVariableOrdering``1122756
osetVert`2`n`(_$,List(S))->Void`cPoset(S)``1122946
oset`0`n`()->A`xFiniteSetAggregate&(A,S)``0
oset`0`x`()->_$`cSetAggregate(S)``1122996
oset`1`n`(List(S))->A`xFiniteSetAggregate&(A,S)``0
oset`1`x`(List(S))->_$`cSetAggregate(S)``1123075
osetchildren!`2`n`(A,List(A))->A`xUnaryRecursiveAggregate&(A,S)``0
osetchildren!`2`x`(_$,List(_$))->_$`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123197
osetelt!`2`n`(_$,S)->S`dReference(S)``1123332
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`(_$,"first",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123416
osetelt!`3`x`(_$,"last",S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123536
osetelt!`3`x`(_$,"left",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123653
osetelt!`3`x`(_$,"rest",_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123769
osetelt!`3`x`(_$,"right",_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1123886
osetelt!`3`x`(_$,"value",S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1124005
osetelt!`3`x`(_$,Dom,Im)->Im`cEltableAggregate(Dom,Im)`has(_$,shallowlyMutable)`1124123
osetelt!`3`x`(_$,Key,Entry)->Entry`cTableAggregate(Key,Entry)``1124319
osetelt!`3`x`(_$,Symbol,Any)->Any`dLibrary``1124437
osetelt!`3`x`(_$,UniversalSegment(Integer),S)->S`cLinearAggregate(S)`has(_$,shallowlyMutable)`1124564
osetelt!`4`n`(S,Integer,Integer,R)->R`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Integer,List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,List(Segment(Integer)),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),List(Segment(Integer)),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(S,Segment(Integer),Segment(Integer),S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetelt!`4`n`(_$,Integer,C,D)->Void`dSparseEchelonMatrix(C,D)``1124857
osetelt!`4`x`(_$,Integer,Integer,R)->R`cTwoDimensionalArrayCategory(R,Row,Col)``1125012
osetelt!`4`x`(_$,Integer,List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1125194
osetelt!`4`x`(_$,Integer,List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1125320
osetelt!`4`x`(_$,List(Integer),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1125535
osetelt!`4`x`(_$,List(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1125661
osetelt!`4`x`(_$,List(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1126008
osetelt!`4`x`(_$,List(Segment(Integer)),Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1126150
osetelt!`4`x`(_$,List(Segment(Integer)),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1126365
osetelt!`4`x`(_$,List(Segment(Integer)),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1126572
osetelt!`4`x`(_$,Segment(Integer),List(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1126778
osetelt!`4`x`(_$,Segment(Integer),List(Segment(Integer)),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1126920
osetelt!`4`x`(_$,Segment(Integer),Segment(Integer),_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1127126
osetelt!`5`n`(_$,NonNegativeInteger,NonNegativeInteger,NonNegativeInteger,R)->R`dThreeDimensionalMatrix(R)``1127276
osetfirst!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1127449
osetlast!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetlast!`2`x`(_$,S)->S`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1127574
osetleaves!`2`x`(_$,List(S))->_$`dBalancedBinaryTree(S)``1127697
osetleft!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1127812
osetnext!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1127891
osetprevious!`2`x`(_$,_$)->_$`cDoublyLinkedAggregate(S)`has(_$,shallowlyMutable)`1128026
osetref`2`n`(_$,S)->S`dReference(S)``1128169
osetrest!`2`x`(_$,_$)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1128230
osetrest!`3`x`(_$,Integer,_$)->_$`dStream(S)``1128345
osetright!`2`x`(_$,_$)->_$`cBinaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1128472
osetsubMatrix!`4`n`(S,Integer,Integer,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osetsubMatrix!`4`x`(_$,Integer,Integer,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1128553
osetvalue!`2`n`(A,S)->S`xUnaryRecursiveAggregate&(A,S)``0
osetvalue!`2`x`(_$,S)->S`cRecursiveAggregate(S)`has(_$,shallowlyMutable)`1128783
osh`2`x`(_$,NonNegativeInteger)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1128860
osh`2`x`(_$,_$)->_$`cXFreeAlgebra(vl,R)`has(R,CommutativeRing)`1128940
oshade`1`n`(Point(R))->R`pPointPackage(R)``1129070
oshade`1`x`(_$)->Integer`dPalette``1129399
oshallowCopy`1`n`(_$)->_$`dSubSpace(n,R)``1129481
oshallowExpand`1`x`(_$)->OutputForm`dFreeNilpotentLie(n,class,R)``1129524
oshanksDiscLogAlgorithm`3`n`(M,M,NonNegativeInteger)->Union(NonNegativeInteger,"failed")`pDiscreteLogarithmPackage(M)``1129634
oshellSort`2`x`((S,S)->Boolean,V)->V`pFiniteLinearAggregateSort(S,V)``1129914
oshiftHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegati--veInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
oshiftHP`1`n`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber--,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(N--onNegativeInteger)->List(AlgebraicNumber))`pGuessAlgebraicNumber`has(AlgebraicNumber,RetractableTo(Symbol))`0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),ki--nd:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1130039
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->St--ream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),N--onNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInte--ger)->List(Integer))`pGuessInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiv--ariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInt--eger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
oshiftHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F--raction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream--(EXPRR),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)`AND(has(F,RetractableTo(Symbol)),has(S,RetractableTo(Symbol)))`1130148
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),S--ymbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)`has(F,RetractableTo(Symbol))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(--Integer),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNe--gativeInteger)->List(Integer))`pGuessInteger`AND(has(Fraction(Integer),RetractableTo(Symbol)),has(Integer,RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(Sp--arseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonN--egativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger`AND(has(Fraction(Polynomial(Integer)),RetractableTo(Symbol)),has(Polynomial(Integer),RetractableTo(Symbol)))`0
oshiftHP`1`x`(Symbol)->(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePo--lynomial(Fraction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Ex--pression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)`AND(has(Fraction(Polynomial(R)),RetractableTo(Symbol)),has(Polynomial(R),RetractableTo(Symbol)))`0
oshiftLeft`1`n`(List(T))->List(T)`pListPackage(T)``1130335
oshiftLeft`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)``1130441
oshiftRight`2`x`(_$,NonNegativeInteger)->_$`cUnivariatePolynomialCategory(R)`has(R,Ring)`1130509
oshiftRoots`2`n`(UP,R)->UP`pGaloisGroupPolynomialUtilities(R,UP)``1130601
oshift`1`n`(F)->_$`dMoebiusTransform(F)``1130718
oshift`2`n`(_$,F)->_$`dMoebiusTransform(F)``1130826
oshift`2`x`(_$,Integer)->_$`dFloat``1130927
oshift`2`x`(_$,Integer)->_$`dNonNegativeInteger``1131004
oshift`2`x`(_$,_$)->_$`cIntegerNumberSystem``1131065
oshowAll?`0`x`()->Boolean`dStream(S)`has(S,SetCategory)`1131128
oshowAllElements`1`x`(_$)->OutputForm`dStream(S)`has(S,SetCategory)`1131227
oshowArrayValues`1`n`(Boolean)->Boolean`dResult``1131321
oshowClipRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1131455
oshowElements`2`x`(NonNegativeInteger,_$)->OutputForm`dStream(S)`has(S,SetCategory)`1131710
oshowFortranOutputStack`0`n`()->Stack(String)`pFortranOutputStackPackage``1131820
oshowRegion`2`x`(_$,String)->Void`dThreeDimensionalViewport``1131892
oshowScalarValues`1`n`(Boolean)->Boolean`dResult``1132137
oshowTheSymbolTable`0`n`()->_$`dTheSymbolTable``1132273
oshowTypeInOutput`1`x`(Boolean)->String`dAny``1132342
oshow`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1132615
oshrinkable`1`n`(Boolean)->Boolean`dIndexedFlexibleArray(S,mn)``1132868
oshrinkable`1`x`(Boolean)->Boolean`dFlexibleArray(S)``0
oshuffle`2`x`(List(Integer),List(Integer))->Stream(List(Integer))`pPartitionsAndPermutations``1132988
oshufflein`2`x`(List(Integer),Stream(List(Integer)))->Stream(List(Integer))`pPartitionsAndPermutations``1133200
osierpinskiDivide`2`n`(_$,NonNegativeInteger)->_$`dSceneIFS(PT)``1133345
osignAround`3`n`(UP,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1133527
osignAround`3`n`(UP,R,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1133579
osignAround`4`n`(UP,R,Integer,(R)->Union(Integer,"failed"))->Union(Integer,"failed")`pInnerPolySign(R,UP)``1133631
osign`1`n`(R)->Union(Integer,"failed")`pToolsForSign(R)``1133688
osign`1`n`(S)->Integer`xOrderedRing&(S)``0
osign`1`x`(F)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1133724
osign`1`x`(Fraction(Polynomial(R)))->Union(Integer,"failed")`pRationalFunctionSign(R)``1133960
osign`1`x`(_$)->Integer`cOrderedRing``1134040
osign`1`x`(_$)->Integer`dPermutation(S)``1134155
osign`2`x`(ThePols,_$)->Integer`cRealRootCharacterizationCategory(TheField,ThePols)``1134251
osign`3`x`(F,Symbol,OrderedCompletion(F))->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1134341
osign`3`x`(Fraction(Polynomial(R)),Symbol,OrderedCompletion(Fraction(Polynomial(R))))->Union(Integer,"failed")`pRationalFunctionSign(R)``1134471
osign`4`x`(F,Symbol,F,String)->Union(Integer,"failed")`pElementaryFunctionSign(R,F)``1134606
osign`4`x`(Fraction(Polynomial(R)),Symbol,Fraction(Polynomial(R)),String)->Union(Integer,"failed")`pRationalFunctionSign(R)``1134768
osimpMod`2`n`(List(S),List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`2`n`(List(_$),List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1134994
osimpMod`3`n`(List(S),SparseEchelonMatrix(JB,S),List(S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimpMod`3`n`(List(_$),SparseEchelonMatrix(JB,_$),List(_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1135095
osimpOne`1`n`(S)->S`xJetBundleFunctionCategory&(S,JB)``0
osimpOne`1`n`(_$)->_$`cJetBundleFunctionCategory(JB)``1135245
osimpleCells`1`n`(_$)->List(SimpleCell(TheField,SparseUnivariatePolynomial(TheField)))`dCell(TheField)``1135338
osimplicialComplexIfCan`1`n`(DeltaComplex(VS))->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1135470
osimplicialComplexIfCan`2`n`(DeltaComplex(VS),Boolean)->Union(_$,"failed")`dFiniteSimplicialComplex(VS)``1135651
osimplicialComplex`1`n`(List(VS))->_$`dFiniteSimplicialComplex(VS)``1135843
osimplicialComplex`2`n`(List(VS),List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1135874
osimplicialComplex`3`n`(List(VS),NonNegativeInteger,List(List(NonNegativeInteger)))->_$`dFiniteSimplicialComplex(VS)``1135926
osimplicialJoin`3`n`(_$,_$,Boolean)->_$`dFiniteSimplicialComplex(VS)``1135978
osimplifyCoeffs`2`n`(FiniteDivisor(F,UP,UPUP,R),List(Kernel(F)))->NonNegativeInteger`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)`AND(has(R0,CharacteristicZero),has(F,AlgebraicallyClosedField))`1136370
osimplifyExp`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136440
osimplifyLog`1`x`(F)->F`pTranscendentalManipulations(R,F)``1136557
osimplifyPower`2`x`(_$,Integer)->_$`dExpression(R)`has(R,IntegralDomain)`1136768
osimplify`1`n`(_$)->Record(SDe:_$,IC:List(D))`dJetDifferentialEquation(JB,D)``1136820
osimplify`1`n`(_$)->_$`dGroupPresentation``1137009
osimplify`1`n`(_$)->_$`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)`AND(has(R,CharacteristicZero),has(R,EuclideanDomain))`1137504
osimplify`1`x`(AlgebraicNumber)->Expression(Integer)`pSimplifyAlgebraicNumberConvertPackage``1137808
osimplify`1`x`(F)->F`pTranscendentalManipulations(R,F)``1137872
osimplify`2`n`(List(S),SparseEchelonMatrix(JB,S))->Record(Sys:List(S),JM:SparseEchelonMatrix(JB,S),Depend:Union("failed",List(List(NonNegativeInteger))))`xJetBundleFunctionCategory&(S,JB)``0
osimplify`2`n`(List(_$),SparseEchelonMatrix(JB,_$))->Record(Sys:List(_$),JM:SparseEchelonMatrix(JB,_$),Depend:Union("failed",List(List(NonNegativeInteger))))`cJetBundleFunctionCategory(JB)``1138352
osimplify`2`n`(_$,Boolean)->_$`dGroupPresentation``1138813
osimpson`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1138850
osimpsono`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1139546
osin2csc`1`x`(F)->F`pTranscendentalManipulations(R,F)``1140246
osin?`1`n`(_$)->Boolean`dFourierComponent(E)``1140344
osinIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1140429
osin`1`n`(E)->_$`dFourierComponent(E)``1140516
osin`1`n`(F)->F`pElementaryFunction(R,F)``1140582
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)``1140641
osin`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1140706
osin`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1140771
osin`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1140837
osin`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1140905
osin`1`x`(_$)->_$`cTrigonometricFunctionCategory``1140972
osincos`1`n`(Stream(Coef))->Record(sin:Stream(Coef),cos:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1141023
osingRicDE`2`n`(LinearOrdinaryDifferentialOperator2(UP,Fraction(UP)),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:LinearOrdinaryDifferentialOperator2(UP,Fraction(UP))))`pRationalRicDE(F,UP)``1141125
osingRicDE`3`n`(L,(UP,SparseUnivariatePolynomial(UP))->List(UP),(UP)->Factored(UP))->List(Record(frac:Fraction(UP),eq:L))`pPrimitiveRatRicDE(F,UP,L,LQ)``1141614
osingleFace`1`n`(List(PT))->_$`dSceneIFS(PT)``1142209
osingleFactorBound`1`n`(UP)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1142306
osingleFactorBound`2`n`(UP,NonNegativeInteger)->Integer`pGaloisGroupFactorizationUtilities(R,UP,F)``1142492
osingular?`1`x`(F)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1142748
osingular?`1`x`(UP)->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1142815
osingularAtInfinity?`0`x`()->Boolean`cFunctionFieldCategory(F,UP,UPUP)``1142885
osinh2csch`1`x`(F)->F`pTranscendentalManipulations(R,F)``1142966
osinhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1143068
osinh`1`n`(F)->F`pElementaryFunction(R,F)``1143157
osinh`1`n`(S)->S`xComplexCategory&(S,R)``0
osinh`1`n`(S)->S`xHyperbolicFunctionCategory&(S)``0
osinh`1`n`(S)->S`xUnivariateTaylorSeriesCategory&(S,Coef)``0
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctions(Coef)``1143228
osinh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1143309
osinh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1143390
osinh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1143468
osinh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1143548
osinh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1143617
osinhcosh`1`n`(Stream(Coef))->Record(sinh:Stream(Coef),cosh:Stream(Coef))`pStreamTranscendentalFunctions(Coef)``1143680
osipnt`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`2`n`(Integer,Integer)->_$`cSPointCategory``1143795
osipnt`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osipnt`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1143887
osivec`2`n`(Integer,Integer)->S`xSPointCategory&(S)``0
osivec`2`n`(Integer,Integer)->_$`cSPointCategory``1143996
osivec`3`n`(Integer,Integer,Integer)->S`xSPointCategory&(S)``0
osivec`3`n`(Integer,Integer,Integer)->_$`cSPointCategory``1144089
osize?`2`n`(A,NonNegativeInteger)->Boolean`xLazyStreamAggregate&(A,S)``0
osize?`2`n`(A,NonNegativeInteger)->Boolean`xUnaryRecursiveAggregate&(A,S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xAggregate&(S)``0
osize?`2`n`(S,NonNegativeInteger)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osize?`2`x`(_$,NonNegativeInteger)->Boolean`cAggregate``1144199
osizeLess?`2`n`(S,S)->Boolean`xEuclideanDomain&(S)``0
osizeLess?`2`x`(_$,_$)->Boolean`cEuclideanDomain``1144276
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtension(GF,extdeg)``1144431
osizeMultiplication`0`n`()->NonNegativeInteger`dFiniteFieldNormalBasisExtensionByPolynomial(GF,uni)``1144611
osizeMultiplication`0`x`()->NonNegativeInteger`dFiniteFieldNormalBasis(p,extdeg)``1144791
osizeMultiplication`1`n`(Vector(List(Record(value:GF,index:SingleInteger))))->NonNegativeInteger`pFiniteFieldFunctions(GF)``1144971
osizePascalTriangle`0`n`()->NonNegativeInteger`pGaloisGroupUtilities(R)``1145074
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`xFramedModule&(S,R)``0
osize`0`n`()->NonNegativeInteger`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osize`0`x`()->Integer`pRandomNumberSource``1145170
osize`0`x`()->NonNegativeInteger`cFinite``1145234
osize`1`n`(_$)->NonNegativeInteger`dFreeGroup(S)``1145298
osize`1`n`(_$)->NonNegativeInteger`dFreeMonoid(S)``1145365
osize`1`n`(_$)->NonNegativeInteger`dListMonoidOps(S,E,un)``1145432
osize`1`x`(_$)->NonNegativeInteger`cFreeAbelianMonoidCategory(S,E)``1145504
osize`1`x`(_$)->TheField`dRightOpenIntervalRootCharacterization(TheField,ThePolDom)``1145673
oskewSFunction`2`x`(List(Integer),List(Integer))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1145715
oski`1`n`(UT)->_$`dSKICombinators(UT)``1145906
oski`2`n`(_$,_$)->_$`dSKICombinators(UT)``1145944
oslash`2`n`(_$,_$)->_$`dOutputForm``1145997
oslex`1`n`(List(S))->List(List(S))`pTableauxBumpers(S)``1146095
osmaller?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xFreeModuleCategory&(A,R,S)``0
osmaller?`2`n`(A,A)->Boolean`xListAggregate&(A,S)``0
osmaller?`2`n`(A,A)->Boolean`xQuotientFieldCategory&(A,S)``0
osmaller?`2`n`(S,S)->Boolean`xComplexCategory&(S,R)``0
osmaller?`2`n`(S,S)->Boolean`xFinite&(S)``0
osmaller?`2`n`(S,S)->Boolean`xOrderedSet&(S)``0
osmaller?`2`n`(S,S)->Boolean`xPolynomialCategory&(S,R,E,VarSet)``0
osmaller?`2`n`(S,S)->Boolean`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osmaller?`2`n`(_$,_$)->Boolean`cComparable``1146289
osmesh`2`n`(List(List(PT)),Boolean)->_$`dSceneIFS(PT)``1146375
osmith`1`n`(Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1146488
osmith`1`x`(M)->M`pSmithNormalForm(R,Row,Col,M)``1146550
osmith`2`n`(Matrix(Integer),(Matrix(Integer))->Matrix(Integer))->Matrix(Integer)`pIntegerSmithNormalForm``1146627
osn2`2`x`(Complex(Float),List(Complex(Float)))->Complex(Float)`pFloatEllipticFunctions``1146773
osn2`2`x`(Float,List(Float))->Float`pFloatEllipticFunctions``1146794
osncndn`2`n`(Stream(Coef),Coef)->List(Stream(Coef))`pEllipticFunctionsUnivariateTaylorSeries(Coef,UTS)``1146815
osolid?`1`n`(_$)->Boolean`dSubSpaceComponentProperty``1146864
osolid`2`n`(_$,Boolean)->Boolean`dSubSpaceComponentProperty``1146902
osolve1`2`n`(SparseUnivariatePolynomial(K),Par)->List(F)`pInnerNumericEigenPackage(K,F,Par)``1146944
osolveFor`2`n`(_$,JB)->Union(_$,"failed")`cJetBundleFunctionCategory(JB)``1147215
osolveInField`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1147307
osolveInField`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1147457
osolveInField`3`n`(Matrix(LO),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1147605
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)``1147721
osolveLinearOverConstants`3`n`(Matrix(F),Vector(F),List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1148144
osolveLinearOverConstants`3`n`(Vector(F),F,List((F)->F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pConstantLinearDependence(R,F)``1148359
osolveLinearPolynomialEquationByFractions`2`n`(List(SparseUnivariatePolynomial(R)),SparseUnivariatePolynomial(R))->Union(List(SparseUnivariatePolynomial(R)),"failed")`pLinearPolynomialEquationByFractions(R)``1148574
osolveLinearPolynomialEquationByRecursion`2`n`(List(SparseUnivariatePolynomial(S)),SparseUnivariatePolynomial(S))->Union(List(SparseUnivariatePolynomial(S)),"failed")`pPolynomialFactorizationByRecursion(R,E,VarSet,S)``1148823
osolveLinearPolynomialEquation`2`n`(List(FPP),FPP)->Union(List(FPP),"failed")`pFiniteFieldSolveLinearPolynomialEquation(F,FP,FPP)``1149249
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(CR)),SparseUnivariatePolynomial(CR))->Union(List(SparseUnivariatePolynomial(CR)),"failed")`pComplexIntegerSolveLinearPolynomialEquation(R,CR)``1149514
osolveLinearPolynomialEquation`2`n`(List(SparseUnivariatePolynomial(Integer)),SparseUnivariatePolynomial(Integer))->Union(List(SparseUnivariatePolynomial(Integer)),"failed")`pIntegerSolveLinearPolynomialEquation``1149839
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``1150104
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1150369
osolveLinear`2`n`(Matrix(R),Vector(R))->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1150565
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(Fraction(S)),"failed"),basis:List(Vector(Fraction(S))))`pLinearDependence(S,R)`NOT(has(S,Field))`1150761
osolveLinear`2`n`(Vector(R),R)->Record(particular:Union(Vector(S),"failed"),basis:List(Vector(S)))`pLinearDependence(S,R)`has(S,Field)`1150957
osolveLinearlyOverQ`2`x`(Matrix(R),Vector(R))->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1151153
osolveLinearlyOverQ`2`x`(Vector(R),R)->Record(particular:Union(Vector(Fraction(Integer)),"failed"),basis:List(Vector(Fraction(Integer))))`pIntegerLinearDependence(R)``1151356
osolveRetract`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pRetractSolvePackage(Q,R)``1151559
osolve_u`3`n`(F,F,Symbol)->Union(List(List(F)),"failed")`pDenominatorIntegration(R,F)``1151815
osolve`1`n`(List(Polynomial(R)))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1152025
osolve`1`n`(UP)->List(F)`pPolynomialSolveByFormulas(UP,F)``1152205
osolve`1`x`(Equation(Expression(R)))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1152242
osolve`1`x`(Equation(Fraction(Polynomial(R))))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1152452
osolve`1`x`(Expression(R))->List(Equation(Expression(R)))`pTransSolvePackage(R)``1152582
osolve`1`x`(Fraction(Polynomial(R)))->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1152781
osolve`1`x`(List(Equation(Fraction(Polynomial(R)))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1152918
osolve`1`x`(List(Fraction(Polynomial(R))))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1153071
osolve`2`n`(List(Polynomial(R)),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pNonLinearSolvePackage(R)``1153211
osolve`2`n`(Polynomial(Fraction(Integer)),Float)->List(Float)`pRealSolvePackage``1153389
osolve`2`n`(Polynomial(Integer),Float)->List(Float)`pRealSolvePackage``1153506
osolve`2`x`(Equation(Expression(R)),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1153622
osolve`2`x`(Equation(Fraction(Polynomial(Integer))),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1153807
osolve`2`x`(Equation(Fraction(Polynomial(R))),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1154012
osolve`2`x`(Expression(R),Symbol)->List(Equation(Expression(R)))`pTransSolvePackage(R)``1154126
osolve`2`x`(Fraction(Polynomial(Integer)),Par)->List(Equation(Polynomial(Par)))`pFloatingRealPackage(Par)``1154307
osolve`2`x`(Fraction(Polynomial(R)),Symbol)->List(Equation(Fraction(Polynomial(R))))`pSystemSolvePackage(R)``1154522
osolve`2`x`(List(Equation(Expression(R))),List(Symbol))->List(List(Equation(Expression(R))))`pTransSolvePackage(R)``1154661
osolve`2`x`(List(Equation(Fraction(Polynomial(Integer)))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1154802
osolve`2`x`(List(Equation(Fraction(Polynomial(R)))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1155007
osolve`2`x`(List(Fraction(Polynomial(Integer))),Par)->List(List(Equation(Polynomial(Par))))`pFloatingRealPackage(Par)``1155161
osolve`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Equation(Fraction(Polynomial(R)))))`pSystemSolvePackage(R)``1155376
osolve`2`x`(List(List(F)),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1155517
osolve`2`x`(List(List(F)),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1155726
osolve`2`x`(M,Col)->Record(particular:Union(Col,"failed"),basis:List(Col))`pLinearSystemMatrixPackage(F,Row,Col,M)``1155874
osolve`2`x`(M,List(Col))->List(Record(particular:Union(Col,"failed"),basis:List(Col)))`pLinearSystemMatrixPackage(F,Row,Col,M)``1156022
osolve`2`x`(Matrix(F),List(Vector(F)))->List(Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F))))`pLinearSystemMatrixPackage1(F)``1156231
osolve`2`x`(Matrix(F),Symbol)->Union(List(Vector(F)),"failed")`pElementaryFunctionODESolver(R,F)``1156440
osolve`2`x`(Matrix(F),Vector(F))->Record(particular:Union(Vector(F),"failed"),basis:List(Vector(F)))`pLinearSystemMatrixPackage1(F)``1156559
osolve`3`n`(Matrix(F),List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F)))`pSystemODESolver(F,LO)``1156707
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)``1156809
osolve`3`x`(Equation(F),BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1157245
osolve`3`x`(F,BasicOperator,Symbol)->Union(Record(particular:F,basis:List(F)),F,"failed")`pElementaryFunctionODESolver(R,F)``1158054
osolve`3`x`(L,F,Symbol)->Union(Record(particular:F,basis:List(F)),"failed")`pElementaryFunctionLODESolver(R,F,L)``1158816
osolve`3`x`(List(Equation(F)),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1159394
osolve`3`x`(List(F),List(BasicOperator),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1159817
osolve`3`x`(Matrix(F),Vector(F),Symbol)->Union(Record(particular:Vector(F),basis:List(Vector(F))),"failed")`pElementaryFunctionODESolver(R,F)``1160240
osolve`4`n`(F,F,BasicOperator,Symbol)->Union(F,"failed")`pNonLinearFirstOrderODESolver(R,F)``1160566
osolve`4`n`(Matrix(LO),F,List(Vector(F)),(LO,List(F))->Record(particular:List(Record(ratpart:F,coeffs:Vector(F))),basis:List(F)))->Union(Record(particular:List(Record(ratpart:Vector(F),coeffs:Vector(F))),basis:List(Vector(F))),"failed")`pOrePolynomialMatrixOperations(F,LO)``1160825
osolve`4`x`(Equation(F),BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1161420
osolve`4`x`(F,BasicOperator,Equation(F),List(F))->Union(F,"failed")`pElementaryFunctionODESolver(R,F)``1161715
osolve`5`x`(L,F,Symbol,F,List(F))->Union(F,"failed")`pElementaryFunctionLODESolver(R,F,L)``1162010
osolveid`3`n`(BP,R,Vector(List(BP)))->Union(List(BP),"failed")`pGenExEuclid(R,BP)``1162258
osomeBasis`0`x`()->Vector(_$)`cFiniteRankNonAssociativeAlgebra(R)``1162443
osort!`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort!`1`n`(A)->A`xListAggregate&(A,S)``0
osort!`1`n`(A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable),has(S,OrderedSet))`1162505
osort!`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xListAggregate&(A,S)``0
osort!`2`n`((S,S)->Boolean,A)->A`xOneDimensionalArrayAggregate&(A,S)``0
osort!`2`x`((S,S)->Boolean,_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(_$,shallowlyMutable))`1162583
osortLD`1`n`(List(S))->List(S)`xJetBundleFunctionCategory&(S,JB)``0
osortLD`1`n`(List(_$))->List(_$)`cJetBundleFunctionCategory(JB)``1162667
osort`1`n`(A)->A`xLinearAggregate&(A,S)``0
osort`1`n`(_$)->_$`dFiniteSimplicialComplex(VS)``1162767
osort`1`x`(List(_$))->List(_$)`dPermutation(S)``1162779
osort`1`x`(_$)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`1163063
osort`2`n`((S,S)->Boolean,A)->A`xLinearAggregate&(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,_$)->_$`cLinearAggregate(S)`has(_$,finiteAggregate)`1163177
osort`2`x`(_$,VarSet)->Record(under:_$,floor:_$,upper:_$)`cPolynomialSetCategory(R,E,VarSet,P)``1163279
osorted?`1`n`(A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xListAggregate&(A,S)``0
osorted?`1`n`(A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`1`x`(_$)->Boolean`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,OrderedSet))`1163476
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xLinearAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xListAggregate&(A,S)``0
osorted?`2`n`((S,S)->Boolean,A)->Boolean`xOneDimensionalArrayAggregate&(A,S)``0
osorted?`2`x`((S,S)->Boolean,_$)->Boolean`cLinearAggregate(S)`has(_$,finiteAggregate)`1163559
osortedPurge!`2`n`(_$,(C)->Boolean)->Void`dSparseEchelonMatrix(C,D)``1163650
ospace`0`x`()->_$`dCharacter``1163809
ospace`1`n`(List(DrawOption))->ThreeSpace(DoubleFloat)`pDrawOptionFunctions0``1163861
ospace`1`x`(ThreeSpace(DoubleFloat))->_$`dDrawOption``1164061
ospanningForestArrow`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestArrow`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1164172
ospanningForestNode`1`n`(A)->List(Tree(Integer))`xFiniteGraph&(A,S)``0
ospanningForestNode`1`n`(_$)->List(Tree(Integer))`cFiniteGraph(S)``1164253
ospanningTreeArrow`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeArrow`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1164334
ospanningTreeNode`2`n`(A,NonNegativeInteger)->Tree(Integer)`xFiniteGraph&(A,S)``0
ospanningTreeNode`2`n`(_$,NonNegativeInteger)->Tree(Integer)`cFiniteGraph(S)``1164817
ospecialTrigs`2`n`(F,List(Record(func:F,pole:Boolean)))->Union(F,"failed")`pElementaryFunction(R,F)``1165194
ospecialise`2`n`(List(Polynomial(TheField)),Cell(TheField))->List(SparseUnivariatePolynomial(TheField))`pCylindricalAlgebraicDecompositionPackage(TheField)``1165261
osphereSolid`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1165366
osphereSolid`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1165531
osphereSurface`1`n`(NonNegativeInteger)->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1165702
osphereSurface`1`n`(NonNegativeInteger)->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1165877
ospherical`1`x`(Point(R))->Point(R)`pCoordinateSystems(R)``1166085
osplit!`2`n`(A,NonNegativeInteger)->A`xUnaryRecursiveAggregate&(A,S)``0
osplit!`2`x`(_$,NonNegativeInteger)->_$`cUnaryRecursiveAggregate(S)`has(_$,shallowlyMutable)`1166353
osplitConstant`2`n`(F,Symbol)->Record(const:F,nconst:F)`pPatternMatchIntegration(R,F)``1166674
osplitDenominator`1`n`(B)->Record(num:A,den:R)`pInnerCommonDenominator(R,Q,A,B)``1166801
osplitDenominator`1`n`(P)->Record(num:P,den:R)`pPolynomialCommonDenominator(R,Q,E,VarSet,P)``1166990
osplitDenominator`1`x`(A)->Record(num:A,den:R)`pCommonDenominator(R,Q,A)``1167144
osplitDenominator`1`x`(Matrix(Q))->Record(num:Matrix(R),den:R)`pMatrixCommonDenominator(R,Q)``1167333
osplitDenominator`1`x`(UP)->Record(num:UP,den:R)`pUnivariatePolynomialCommonDenominator(R,Q,UP)``0
osplitDenominator`2`n`(LQ,List(Fraction(UP)))->Record(eq:L,rh:List(Fraction(UP)))`pPrimitiveRatDE(F,UP,L,LQ)``1167483
osplitList`2`n`((T)->Boolean,List(T))->Record(yes:List(T),no:List(T))`pListPackage(T)``1167701
osplitNodeOf!`3`n`(_$,_$,List(SplittingNode(V,C)))->_$`dSplittingTree(V,C)``1167831
osplitNodeOf!`4`n`(_$,_$,List(SplittingNode(V,C)),(C,C)->Boolean)->_$`dSplittingTree(V,C)``1168083
osplitSquarefree`2`n`(UP,(UP)->UP)->Record(normal:Factored(UP),special:Factored(UP))`pMonomialExtensionTools(F,UP)``1168354
osplit`1`x`(IntegrationResult(F))->IntegrationResult(F)`pIntegrationResultToFunction(R,F)``1168690
osplit`1`x`(IntegrationResult(Fraction(Polynomial(R))))->IntegrationResult(Fraction(Polynomial(R)))`pIntegrationResultRFToFunction(R)``1168884
osplit`1`x`(UP)->Factored(UP)`pAlgFactor(UP)``1169078
osplit`2`n`(P,(P)->P)->Record(normal:P,special:P)`pParallelIntegrationTools(R,V,P)``1169169
osplit`2`n`(UP,(UP)->UP)->Record(normal:UP,special:UP)`pMonomialExtensionTools(F,UP)``1169435
osplit`2`x`(List(Matrix(R)),Vector(R))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1169702
osplit`2`x`(List(Matrix(R)),Vector(Vector(R)))->List(List(Matrix(R)))`pRepresentationPackage2(R)`has(R,Field)`1170515
osplit`2`x`(S,_$)->Record(less:_$,greater:_$)`dBinarySearchTree(S)``1170662
osplit`2`x`(_$,Character)->List(_$)`cStringAggregate``1170842
osplit`2`x`(_$,CharacterClass)->List(_$)`cStringAggregate``1170932
ospnt`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1171028
ospnt`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1171120
osqfrFactor`2`x`(R,Integer)->_$`dFactored(R)``1171229
osqfree`1`n`(GR)->GR`pParametricLinearEquations(R,Var,Expon,GR)``1171384
osqrt`1`n`(Fraction(Integer))->S`xRealClosedField&(S)``0
osqrt`1`n`(Integer)->S`xRealClosedField&(S)``0
osqrt`1`n`(S)->S`xRadicalCategory&(S)``0
osqrt`1`n`(S)->S`xRealClosedField&(S)``0
osqrt`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1171463
osqrt`1`x`(Fraction(Integer))->_$`cRealClosedField``1171532
osqrt`1`x`(Integer)->_$`cRealClosedField``1171574
osqrt`1`x`(_$)->_$`cRadicalCategory``1171616
osqrt`1`x`(_$)->_$`cRealClosedField``1171756
osqrt`2`n`(S,PositiveInteger)->S`xRealClosedField&(S)``0
osqrt`2`x`(_$,Integer)->_$`cPAdicIntegerCategory(p)``1171798
osqrt`2`x`(_$,PositiveInteger)->_$`cRealClosedField``1171923
osquare?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osquare?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osquare?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1171970
osquare?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1172145
osquareFreeBasis`1`n`(List(P))->List(P)`pCylindricalAlgebraicDecompositionUtilities(R,P)``1172320
osquareFreeFactors`1`n`(P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1172426
osquareFreeLexTriangular`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1172519
osquareFreePart`1`n`(P)->P`pUnivariatePolynomialSquareFree(RC,P)``1172928
osquareFreePart`1`n`(S)->S`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFreePart`1`n`(S)->S`xUniqueFactorizationDomain&(S)``0
osquareFreePart`1`n`(S)->S`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePart`1`x`(_$)->_$`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1173099
osquareFreePart`1`x`(_$)->_$`cUniqueFactorizationDomain``1173235
osquareFreePart`2`x`(P,_$)->List(Record(val:P,tower:_$))`cRegularTriangularSetCategory(R,E,V,P)``1173348
osquareFreePolynomial`1`n`(SparseUnivariatePolynomial(S))->Factored(SparseUnivariatePolynomial(S))`xUnivariatePolynomialCategory&(S,R)``0
osquareFreePolynomial`1`x`(SparseUnivariatePolynomial(_$))->Factored(SparseUnivariatePolynomial(_$))`cPolynomialFactorizationExplicit``1173871
osquareFreePrim`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1173986
osquareFree`1`n`(I)->Factored(I)`pIntegerFactorizationPackage(I)``1174105
osquareFree`1`n`(P)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1174191
osquareFree`1`n`(P)->Factored(P)`pPolynomialSquareFree(VarSet,E,RC,P)``1174297
osquareFree`1`n`(P)->Factored(P)`pUnivariatePolynomialSquareFree(RC,P)``1174475
osquareFree`1`n`(S)->Factored(S)`xComplexCategory&(S,R)``0
osquareFree`1`n`(S)->Factored(S)`xField&(S)``0
osquareFree`1`n`(S)->Factored(S)`xIntegerNumberSystem&(S)``0
osquareFree`1`n`(S)->Factored(S)`xPolynomialCategory&(S,R,E,VarSet)``0
osquareFree`1`n`(S)->Factored(S)`xUnivariatePolynomialCategory&(S,R)``0
osquareFree`1`n`(SparseUnivariatePolynomial(P))->Factored(SparseUnivariatePolynomial(P))`pMultivariateSquareFree(E,OV,R,P)``1174665
osquareFree`1`x`(RegularChain(R,ls))->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls2)),OrderedVariableList(ls2),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls2))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1174839
osquareFree`1`x`(_$)->Factored(_$)`cPolynomialCategory(R,E,VarSet)`has(R,GcdDomain)`1175182
osquareFree`1`x`(_$)->Factored(_$)`cUniqueFactorizationDomain``1175276
osquareMatrix`1`n`(Matrix(R))->_$`dSquareMatrix(ndim,R)``1175461
osquareTop`1`n`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osquareTop`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1175580
ostFunc1`1`n`((UTS)->UTS)->(Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1175751
ostFunc2`1`n`((UTS,UTS)->UTS)->(Stream(Coef),Stream(Coef))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1175885
ostFuncN`1`n`((List(UTS))->UTS)->(List(Stream(Coef)))->Stream(Coef)`pUnivariateTaylorSeriesODESolver(Coef,UTS)``1176019
ostack`1`x`(List(S))->_$`dStack(S)``1176152
ostandardBasisOfCyclicSubmodule`2`x`(List(Matrix(R)),Vector(R))->Matrix(R)`pRepresentationPackage2(R)`has(R,EuclideanDomain)`1176308
ostar`2`n`(_$,OrientedFacet)->_$`dFiniteSimplicialComplex(VS)``1176993
ostartPolynomial`1`n`(UP)->Record(start:UP,factors:Factored(UP))`pComplexRootFindingPackage(R,UP)``1177106
ostartStats!`1`n`(String)->Void`pTabulatedComputationPackage(Key,Entry)``1177560
ostartTable!`3`x`(String,String,String)->Void`pQuasiComponentPackage(R,E,V,P,TS)``1177685
ostartTable!`3`x`(String,String,String)->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1177791
ostartTableGcd!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1177897
ostartTableGcd!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostartTableInvSet!`3`x`(String,String,String)->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1178003
ostartTableInvSet!`3`x`(String,String,String)->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostarts`1`n`(List(Boolean))->_$`dBitStreamFrame``1178112
ostarts`1`n`(String)->_$`dBitStreamFrame``1178140
ostatement2Fortran`1`n`(OutputForm)->List(String)`pFortranCodeTools``1178210
ostatistics`0`n`()->Void`dJetLazyFunction(JB,D)``1178246
ostatistics`0`n`()->Void`pUnittestCount``1178456
ostatus`1`n`(_$)->Boolean`dSplittingNode(V,C)``1178597
ostatus`1`n`(_$)->Union(Boolean,"failed")`dQuasiAlgebraicSet(R,Var,Expon,Dpoly)``1178662
ostirling1`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1178804
ostirling2`2`x`(I,I)->I`pIntegerCombinatoricFunctions(I)``1178908
ostirling`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->NonNegativeInteger`pCartanKuranishi(JB,D)``1179014
ostopMusserTrials`0`n`()->PositiveInteger`pGaloisGroupFactorizer(UP)``1179103
ostopMusserTrials`1`n`(PositiveInteger)->PositiveInteger`pGaloisGroupFactorizer(UP)``1179376
ostopTable!`0`x`()->Void`pQuasiComponentPackage(R,E,V,P,TS)``1179670
ostopTable!`0`x`()->Void`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1179761
ostopTableGcd!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1179852
ostopTableGcd!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostopTableInvSet!`0`x`()->Void`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1179943
ostopTableInvSet!`0`x`()->Void`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostop`0`n`()->_$`dFortranCode``1180037
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?_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
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
ostoseInvertibleSet_reg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet_sqfreg`2`x`(P,TS)->List(TS)`pSquareFreeRegularTriangularSetGcdPackage(R,E,V,P,TS)``0
ostoseInvertibleSet`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
ostransform`1`n`((Complex(DoubleFloat))->Complex(DoubleFloat))->_$`dSTransform(PT)``1180104
ostransform`1`n`((PT)->PT)->_$`dSTransform(PT)``1180287
ostransform`1`n`(List(DoubleFloat))->_$`dSTransform(PT)``1180394
ostransform`1`n`(List(List(DoubleFloat)))->_$`dSTransform(PT)``1180462
ostranslate`6`n`(DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat,DoubleFloat)->_$`dSTransform(PT)``1180538
ostream`1`n`(_$)->Stream(R)`cSequenceCategory(R)``1180822
ostream`1`x`(()->S)->_$`dStream(S)``1180872
ostream`2`x`((S)->S,S)->_$`dInfiniteTuple(S)``1181023
ostream`2`x`((S)->S,S)->_$`dStream(S)``1181098
ostring?`1`n`(OutputForm)->Boolean`pOutputFormTools``1181336
ostring?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1181424
ostring`1`n`(OutputForm)->String`pOutputFormTools``1181513
ostring`1`x`(Integer)->_$`cStringCategory``1181626
ostring`1`x`(_$)->Str`cSExpressionCategory(Str,Sym,Int,Flt)``1181709
ostring`1`x`(_$)->String`dSymbol``1181846
ostripCommentsAndBlanks`1`n`(String)->String`pTemplateUtilities``1181949
ostrongGenerators`1`x`(_$)->List(Permutation(S))`dPermutationGroup(S)``1182092
ostronglyReduce`2`n`(P,S)->P`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduce`2`x`(P,_$)->P`cTriangularSetCategory(R,E,V,P)``1182177
ostronglyReduced?`1`n`(S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`1`x`(_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1182423
ostronglyReduced?`2`n`(P,S)->Boolean`xTriangularSetCategory&(S,R,E,V,P)``0
ostronglyReduced?`2`x`(P,_$)->Boolean`cTriangularSetCategory(R,E,V,P)``1182582
ostructuralConstants`0`n`()->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``1182705
ostructuralConstants`0`x`()->Vector(Matrix(R))`cFramedNonAssociativeAlgebra(R)``1182962
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFiniteRankNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`n`(Vector(S))->Vector(Matrix(R))`xFramedNonAssociativeAlgebra&(S,R)``0
ostructuralConstants`1`x`(List(Matrix(R)))->Vector(Matrix(R))`pStructuralConstantsPackage(R)``1183219
ostructuralConstants`1`x`(Vector(_$))->Vector(Matrix(R))`cFiniteRankNonAssociativeAlgebra(R)``1183510
ostructuralConstants`2`x`(List(Symbol),Matrix(Fraction(Polynomial(R))))->Vector(Matrix(Fraction(Polynomial(R))))`pStructuralConstantsPackage(R)``1183789
ostructuralConstants`2`x`(List(Symbol),Matrix(Polynomial(R)))->Vector(Matrix(Polynomial(R)))`pStructuralConstantsPackage(R)``1184232
ostruveH`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1184675
ostruveH`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1184737
ostruveL`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1184800
ostruveL`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1184954
ostube`3`n`(List(Record(source:(DoubleFloat)->PT,ranges:List(Segment(DoubleFloat)),knots:List(DoubleFloat),points:List(PT))),DoubleFloat,Integer)->_$`dSceneIFS(PT)``1185109
osturmSequence`1`x`(ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1185224
osturmVariationsOf`1`x`(List(TheField))->NonNegativeInteger`pRealPolynomialUtilitiesPackage(TheField,ThePols)`has(TheField,OrderedRing)`1185284
ostyle`1`x`(String)->_$`dDrawOption``1185429
ostyle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1185605
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1185810
osubCase?`2`x`(Record(val:List(P),tower:TS),Record(val:List(P),tower:TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1185910
osubMatrix`3`n`(M,List(Integer),List(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1186010
osubMatrix`3`n`(M,Segment(Integer),Segment(Integer))->M`pMatrixManipulation(R,Row,Col,M)``1186119
osubMatrix`5`n`(S,Integer,Integer,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
osubMatrix`5`x`(_$,Integer,Integer,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1186228
osubNode?`3`n`(_$,_$,(C,C)->Boolean)->Boolean`dSplittingNode(V,C)``1186440
osubNodeOf?`3`n`(SplittingNode(V,C),_$,(C,C)->Boolean)->Boolean`dSplittingTree(V,C)``1186578
osubPolSet?`2`x`(List(P),List(P))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1186756
osubPolSet?`2`x`(List(P),List(P))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1186856
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1186956
osubQuasiComponent?`2`x`(TS,List(TS))->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1187099
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1187242
osubQuasiComponent?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1187392
osubResultantChain`2`x`(_$,_$)->List(_$)`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1187559
osubResultantGcdEuclidean`2`n`(polR,polR)->Record(coef1:polR,coef2:polR,gcd:polR)`pPseudoRemainderSequence(R,polR)``1187747
osubResultantGcd`2`n`(polR,polR)->polR`pPseudoRemainderSequence(R,polR)``1187960
osubResultantGcd`2`x`(_$,_$)->_$`cRecursivePolynomialCategory(R,E,V)`has(R,IntegralDomain)`1188073
osubResultantGcd`2`x`(_$,_$)->_$`cUnivariatePolynomialCategory(R)`has(R,IntegralDomain)`1188404
osubResultantList`2`n`(UP,UP)->List(UP)`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1188552
osubResultantList`2`n`(UP,UP)->List(UP)`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubResultant`3`n`(UP,UP,NonNegativeInteger)->UP`pBezoutMatrix(R,UP,M,Row,Col)`has(R,CommutativeRing)`1188721
osubResultant`3`n`(UP,UP,NonNegativeInteger)->UP`pBezoutMatrixWrapper(R,UP)`has(R,CommutativeRing)`0
osubResultantsChain`2`n`(_$,_$)->List(_$)`dNewSparseUnivariatePolynomial(R)`has(R,IntegralDomain)`1188962
osubSet`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1189105
osubSylvesterMatrix`2`n`(M,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1189455
osubSylvesterMatrix`2`n`(Matrix(R),NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubSylvesterMatrix`3`n`(M,NonNegativeInteger,NonNegativeInteger)->M`pBezoutMatrix(R,UP,M,Row,Col)``1189551
osubSylvesterMatrix`3`n`(Matrix(R),NonNegativeInteger,NonNegativeInteger)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osubTriSet?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1189631
osubTriSet?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1189727
osub`2`n`(_$,_$)->_$`dOutputForm``1189823
osubdiagramSvg`4`n`(Scene(SCartesian(2)),A,Boolean,Boolean)->Void`xFiniteGraph&(A,S)``0
osubdiagramSvg`4`n`(Scene(SCartesian(2)),_$,Boolean,Boolean)->Void`cFiniteGraph(S)``1189902
osubdivide`1`n`(_$)->_$`dSceneIFS(PT)``1190181
osubmod`3`x`(_$,_$,_$)->_$`cIntegerNumberSystem``1190333
osubresultantSequence`2`x`(UnivariatePolynomial(x,R),UnivariatePolynomial(x,R))->List(UnivariatePolynomial(x,R))`pSturmHabichtPackage(R,x)``1190418
osubresultantVector`2`n`(UP,UP)->PrimitiveArray(UP)`pSubResultantPackage(R,UP)``1190536
osubscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1190732
osubset?`2`n`(A,A)->Boolean`xFiniteSetAggregate&(A,S)``0
osubset?`2`x`(_$,_$)->Boolean`cSetAggregate(S)``1190838
osubsetLattice`1`n`(List(S))->_$`dSubsetLattice(S,top)``1191009
osubspace?`2`n`(_$,_$)->Boolean`dVectorSpaceBasis(R)``1191049
osubspace`0`n`()->_$`dSubSpace(n,R)``1191135
osubspace`1`x`(_$)->SubSpace(3,R)`cThreeSpaceCategory(R)``1191174
osubspace`1`x`(_$)->ThreeSpace(DoubleFloat)`dThreeDimensionalViewport``1191312
osubspace`2`x`(_$,ThreeSpace(DoubleFloat))->_$`dThreeDimensionalViewport``1191496
osubstHP`1`n`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(AlgebraicNumber))->Stream(UnivariateFormalPowerSeries(AlgebraicNumber)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegati--veInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(AlgebraicNumber))->AlgebraicNumber,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger)))->SparseMultivariatePolynomial(AlgebraicNumber,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegative--Integer)->List(AlgebraicNumber))`pGuessAlgebraicNumber``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(EXPRR,Symbol)->Stream(EXPRR),ki--nd:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(S))->S,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,EXPRR)->EXPRR,C:(NonNegativeInteger)->List(S))`pGuess(F,S,EXPRR,retract,coerce)``1191709
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(F))->Stream(UnivariateFormalPowerSeries(F)),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->St--ream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(F))->F,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F,NonNegativeInteger)))->SparseMultivariatePolynomial(F,NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(F))`pGuessFinite(F)``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Integer)))->Stream(UnivariateFormalPowerSeries(Fraction(Integer))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),N--onNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Integer))->Integer,AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Integer),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInte--ger)->List(Integer))`pGuessInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(Integer)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultiv--ariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(Integer)))->Polynomial(Integer),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(Integer)),NonNegativeInt--eger),AX:(NonNegativeInteger,Symbol,Expression(Integer))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(Integer)))`pGuessPolynomialInteger``0
osubstHP`1`x`(List(GuessOption))->Record(degreeStream:Stream(NonNegativeInteger),guessStream:(UnivariateFormalPowerSeries(Fraction(Polynomial(R))))->Stream(UnivariateFormalPowerSeries(Fraction(Polynomial(R)))),guessModGen:(NonNegativeInteger)->(List(U32Vector),Integer,Integer)->Vector(U32Vector),testGen:(List(PositiveInteger))->(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->Vector(UnivariateFormalPowerSeries(SparseMultivariatePolynomial(F--raction(Polynomial(R)),NonNegativeInteger))),exprStream:(Expression(Integer),Symbol)->Stream(Expression(Integer)),kind:Symbol,qvar:Symbol,A:(NonNegativeInteger,NonNegativeInteger,SparseUnivariatePolynomial(Polynomial(R)))->Polynomial(R),AF:(NonNegativeInteger,NonNegativeInteger,UnivariateFormalPowerSeries(SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger)))->SparseMultivariatePolynomial(Fraction(Polynomial(R)),NonNegativeInteger),AX:(NonNegativeInteger,Symbol,Expression(I--nteger))->Expression(Integer),C:(NonNegativeInteger)->List(Polynomial(R)))`pGuessPolynomial(R)``0
osubst_var`3`n`(_$,List(Symbol),List(Symbol))->_$`dFakePolynomial``0
osubst_vars`3`n`(PT,List(Symbol),List(Symbol))->MP`cModularEvaluationCategory(PT,MP)``1191825
osubst`2`n`(S,Equation(S))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,Equation(S))->S`xFunctionSpace&(S,R)``0
osubst`2`n`(S,List(Equation(S)))->S`xExpressionSpace&(S)``0
osubst`2`n`(S,List(Equation(S)))->S`xFunctionSpace&(S,R)``0
osubst`2`x`(_$,Equation(_$))->_$`cExpressionSpace``1191955
osubst`2`x`(_$,List(Equation(_$)))->_$`cExpressionSpace``1192050
osubst`2`x`(_$,_$)->_$`dEquation(S)`has(S,ExpressionSpace)`1192210
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xExpressionSpace&(S)``0
osubst`3`n`(S,List(Kernel(S)),List(S))->S`xFunctionSpace&(S,R)``0
osubst`3`n`(_$,JB,_$)->_$`cJetBundleFunctionCategory(JB)``1192343
osubst`3`n`(_$,_$,_$)->_$`dLambda(UT)``1192459
osubst`3`x`(_$,List(Kernel(_$)),List(_$))->_$`cExpressionSpace``1192515
osubstitute`3`n`(S,S,_$)->_$`dListMultiDictionary(S)``1192682
osubstring?`3`x`(_$,_$,Integer)->Boolean`cStringAggregate``1192793
osubtractIfCan`2`n`(S,S)->Union(S,"failed")`xAbelianGroup&(S)``0
osubtractIfCan`2`x`(_$,_$)->Union(_$,"failed")`cCancellationAbelianMonoid``1192961
osubtract`2`n`(_$,_$)->_$`dOrientedFacet``1193087
osuchThat`2`n`(Pattern(R),(D)->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1193164
osuchThat`2`n`(Pattern(R),List((D)->Boolean))->Pattern(R)`pPatternFunctions1(R,D)``1193286
osuchThat`2`x`(F,(D)->Boolean)->F`pFunctionSpaceAttachPredicates(R,F,D)``1193447
osuchThat`2`x`(F,List((D)->Boolean))->F`pFunctionSpaceAttachPredicates(R,F,D)``1193555
osuchThat`2`x`(Symbol,(D)->Boolean)->Expression(Integer)`pAttachPredicates(D)``1193726
osuchThat`2`x`(Symbol,List((D)->Boolean))->Expression(Integer)`pAttachPredicates(D)``1193799
osuchThat`3`n`(Pattern(R),List(Symbol),(List(D))->Boolean)->Pattern(R)`pPatternFunctions1(R,D)``1193934
osuchThat`3`x`(_$,List(Symbol),(List(F))->Boolean)->_$`dRewriteRule(Base,R,F)``1194076
osuffix?`2`x`(_$,_$)->Boolean`cStringAggregate``1194223
osumBasis`1`n`(List(List(Vector(R))))->_$`dVectorSpaceBasis(R)``1194497
osumBasis`1`n`(List(_$))->_$`dVectorSpaceBasis(R)``1194682
osumBasis`2`n`(List(Vector(R)),List(Vector(R)))->_$`dVectorSpaceBasis(R)``1194835
osumBasis`2`n`(_$,_$)->_$`dVectorSpaceBasis(R)``1194972
osumOfDivisors`1`x`(Integer)->Integer`pIntegerNumberTheoryFunctions``1195055
osumOfKthPowerDivisors`2`x`(Integer,NonNegativeInteger)->Integer`pIntegerNumberTheoryFunctions``1195249
osumSquares`1`x`(Integer)->List(Integer)`pGaussianFactorizationPackage``1195508
osum`1`n`(_$)->_$`dOutputForm``1195742
osum`2`n`(P,V)->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1195825
osum`2`n`(_$,_$)->_$`dOutputForm``1196007
osum`2`x`(F,SegmentBinding(F))->F`pFunctionSpaceSum(R,F)``1196122
osum`2`x`(F,Symbol)->F`pFunctionSpaceSum(R,F)``1196229
osum`2`x`(Fraction(Polynomial(R)),SegmentBinding(Fraction(Polynomial(R))))->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1196331
osum`2`x`(Fraction(Polynomial(R)),Symbol)->Union(Fraction(Polynomial(R)),Expression(R))`pRationalFunctionSum(R)``1196408
osum`2`x`(Polynomial(R),SegmentBinding(Polynomial(R)))->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1196590
osum`2`x`(Polynomial(R),Symbol)->Fraction(Polynomial(R))`pRationalFunctionSum(R)``1196667
osum`3`n`(P,V,Segment(P))->Record(num:P,den:Integer)`pInnerPolySum(E,V,R,P)``1196849
osum`3`n`(_$,_$,_$)->_$`dOutputForm``1196928
osummation`2`n`(F,SegmentBinding(F))->F`pCombinatorialFunction(R,F)``1197084
osummation`2`n`(F,Symbol)->F`pCombinatorialFunction(R,F)``1197190
osummation`2`x`(_$,SegmentBinding(_$))->_$`cCombinatorialOpsCategory``1197346
osummation`2`x`(_$,Symbol)->_$`cCombinatorialOpsCategory``1197452
osunion`2`n`(_$,_$)->_$`dSBoundary(PT)``1197608
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pQuasiComponentPackage(R,E,V,P,TS)``1197839
osupDimElseRittWu?`2`x`(TS,TS)->Boolean`pSquareFreeQuasiComponentPackage(R,E,V,P,TS)``1198051
osupRittWu?`2`n`(S,S)->Boolean`xRecursivePolynomialCategory&(S,R,E,V)``0
osupRittWu?`2`x`(_$,_$)->Boolean`cRecursivePolynomialCategory(R,E,V)``1198263
osup`1`x`(_$)->R`cIntervalCategory(R)``1198447
osup`2`x`(_$,_$)->_$`cOrderedAbelianMonoidSup``1198502
osuper`2`n`(_$,_$)->_$`dOutputForm``1198611
osuperscript`2`x`(_$,List(OutputForm))->_$`dSymbol``1198694
osupersub`2`n`(_$,List(_$))->_$`dOutputForm``1198804
osupport`1`x`(_$)->List(S)`cFreeModuleCategory(R,S)``1198942
osurface`3`x`(ComponentFunction,ComponentFunction,ComponentFunction)->_$`dParametricSurface(ComponentFunction)``1199029
osvec`2`n`(DoubleFloat,DoubleFloat)->_$`cSPointCategory``1199164
osvec`3`n`(DoubleFloat,DoubleFloat,DoubleFloat)->_$`cSPointCategory``1199257
oswap!`3`n`(S,Index,Index)->Void`xIndexedAggregate&(S,Index,Entry)``0
oswap!`3`x`(_$,Index,Index)->Void`cIndexedAggregate(Index,Entry)`has(_$,shallowlyMutable)`1199367
oswapColumns!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapColumns!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1199500
oswapRows!`3`n`(S,Integer,Integer)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
oswapRows!`3`x`(_$,Integer,Integer)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1199641
oswap`1`n`(UPUP)->UPUP`pCommuteUnivariatePolynomialCategory(R,UP,UPUP)``1199776
oswap`1`x`(_$)->_$`dEquation(S)``1199846
osylvesterMatrix`2`n`(UP,UP)->M`pBezoutMatrix(R,UP,M,Row,Col)``1199930
osylvesterMatrix`2`n`(UP,UP)->Matrix(R)`pBezoutMatrixWrapper(R,UP)``0
osylvesterSequence`2`x`(ThePols,ThePols)->List(ThePols)`pRealPolynomialUtilitiesPackage(TheField,ThePols)``1200044
osymFunc`1`n`(List(R))->Vector(R)`pSymmetricFunctions(R)``1200177
osymFunc`2`n`(R,PositiveInteger)->Vector(R)`pSymmetricFunctions(R)``1200376
osymbol?`1`n`(OutputForm)->Boolean`pOutputFormTools``1200510
osymbol?`1`n`(_$)->Boolean`dPattern(R)``1200598
osymbol?`1`x`(_$)->Boolean`cSExpressionCategory(Str,Sym,Int,Flt)``1200654
osymbolIfCan`1`n`(_$)->Union(Symbol,"failed")`dKernel(S)``1200743
osymbolTableOf`2`n`(Symbol,_$)->SymbolTable`dTheSymbolTable``1200859
osymbolTable`1`n`(List(Record(key:Symbol,entry:FortranType)))->_$`dSymbolTable``1200934
osymbol`1`n`(List(S))->SparseEchelonMatrix(JB,S)`xJetBundleFunctionCategory&(S,JB)``0
osymbol`1`n`(List(_$))->SparseEchelonMatrix(JB,_$)`cJetBundleFunctionCategory(JB)``1201017
osymbol`1`n`(OutputForm)->Symbol`pOutputFormTools``1201111
osymbol`1`x`(_$)->Sym`cSExpressionCategory(Str,Sym,Int,Flt)``1201224
osymmetric?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
osymmetric?`1`n`(S)->Boolean`xRectangularMatrixCategory&(S,m,n,R,Row,Col)``0
osymmetric?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1201361
osymmetric?`1`x`(_$)->Boolean`cRectangularMatrixCategory(m,n,R,Row,Col)``1201563
osymmetricDifference`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
osymmetricDifference`2`n`(A,A)->A`xSetAggregate&(A,S)``0
osymmetricDifference`2`x`(_$,_$)->_$`cSetAggregate(S)``1201765
osymmetricGroup`1`n`(PositiveInteger)->_$`dGroupPresentation``1202147
osymmetricGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1202290
osymmetricGroup`1`x`(PositiveInteger)->PermutationGroup(Integer)`pPermutationGroupExamples``1202563
osymmetricPower`2`x`(_$,NonNegativeInteger)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1202769
osymmetricPower`3`n`(L,NonNegativeInteger,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1202957
osymmetricProduct`2`x`(_$,_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1203185
osymmetricProduct`3`n`(L,L,(A)->A)->L`pLinearOrdinaryDifferentialOperatorsOps(A,L)``1203393
osymmetricRemainder`2`n`(S,S)->S`xIntegerNumberSystem&(S)``0
osymmetricRemainder`2`x`(_$,_$)->_$`cIntegerNumberSystem``1203641
osymmetricSquare`1`n`(S)->S`xLinearOrdinaryDifferentialOperatorCategory&(S,A)``0
osymmetricSquare`1`x`(_$)->_$`cLinearOrdinaryDifferentialOperatorCategory(A)`has(A,Field)`1203751
osymmetricTensors`2`x`(List(Matrix(R)),PositiveInteger)->List(Matrix(R))`pRepresentationPackage1(R)``1203856
osymmetricTensors`2`x`(Matrix(R),PositiveInteger)->Matrix(R)`pRepresentationPackage1(R)``1204432
osystemCommand`1`x`(String)->Void`pMoreSystemCommands``1204975
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot3D``1205193
otRange`1`n`(_$)->Segment(DoubleFloat)`dPlot``1205283
otValues`1`n`(_$)->List(List(DoubleFloat))`dPlot3D``1205372
ot`1`n`(NonNegativeInteger)->()->Float`pRandomFloatDistributions``1205531
otab1`1`n`(List(List(S)))->List(List(List(S)))`pTableauxBumpers(S)``1205564
otab`1`n`(List(S))->Tableau(List(S))`pTableauxBumpers(S)``1205636
otableForDiscreteLogarithm`1`x`(Integer)->Table(PositiveInteger,NonNegativeInteger)`cFiniteFieldCategory``1205842
otablePow`3`n`(NonNegativeInteger,R,List(BP))->Union(Vector(List(BP)),"failed")`pGenExEuclid(R,BP)``1206148
otable`0`n`()->S`xTableAggregate&(S,Key,Entry)``0
otable`0`x`()->_$`cTableAggregate(Key,Entry)``1206444
otable`1`n`((Key)->SingleInteger)->_$`dXHashTable(Key,Entry)``1206517
otable`1`n`(List(Record(key:Key,entry:Entry)))->S`xTableAggregate&(S,Key,Entry)``0
otable`1`n`(List(_$))->TwoDimensionalArray(_$)`dJetVectorField(JB,D)``1206853
otable`1`x`(List(Record(key:Key,entry:Entry)))->_$`cTableAggregate(Key,Entry)``1206942
otableau`1`x`(List(List(S)))->_$`dTableau(S)``1207049
otableau`2`n`(SparseEchelonMatrix(JB,D),JetDifferential(JB,D))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1207124
otableau`2`n`(SparseEchelonMatrix(JB,D),List(JetDifferential(JB,D)))->SparseEchelonMatrix(JB,D)`dJetDifferentialEquation(JB,D)``1207214
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)``1207323
otail`1`x`(_$)->_$`cRecursivePolynomialCategory(R,E,V)``1207451
otail`1`x`(_$)->_$`cUnaryRecursiveAggregate(S)``1207571
otails`1`x`(_$)->List(_$)`dList(S)``1207723
otan2cot`1`x`(F)->F`pTranscendentalManipulations(R,F)``1207847
otan2trig`1`x`(F)->F`pTranscendentalManipulations(R,F)``1207945
otanAn`2`n`(R,PositiveInteger)->SparseUnivariatePolynomial(R)`pTangentExpansions(R)``1208049
otanIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1208157
otanNa`2`n`(R,Integer)->R`pTangentExpansions(R)``1208244
otanQ`2`x`(Fraction(Integer),F)->F`pElementaryFunctionStructurePackage(R,F)``1208354
otanSum`1`n`(List(R))->R`pTangentExpansions(R)``1208436
otan`1`n`(F)->F`pElementaryFunction(R,F)``1208610
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)``1208672
otan`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1208740
otan`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1208808
otan`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1208877
otan`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1208948
otan`1`x`(_$)->_$`cTrigonometricFunctionCategory``1209015
otanh2coth`1`x`(F)->F`pTranscendentalManipulations(R,F)``1209069
otanh2trigh`1`x`(F)->F`pTranscendentalManipulations(R,F)``1209171
otanhIfCan`1`x`(K)->Union(K,"failed")`cPartialTranscendentalFunctions(K)``1209280
otanh`1`n`(F)->F`pElementaryFunction(R,F)``1209369
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)``1209443
otanh`1`n`(Stream(Coef))->Stream(Coef)`pStreamTranscendentalFunctionsNonCommutative(Coef)``1209527
otanh`1`n`(ULS)->ULS`dElementaryFunctionsUnivariateLaurentSeries(Coef,UTS,ULS)``1209611
otanh`1`n`(UPXS)->UPXS`dElementaryFunctionsUnivariatePuiseuxSeries(Coef,ULS,UPXS,EFULS)``1209692
otanh`1`n`(_$)->_$`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1209775
otanh`1`x`(_$)->_$`cHyperbolicFunctionCategory``1209844
otaylorIfCan`1`x`(_$)->Union(UTS,"failed")`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1209910
otaylorQuoByVar`1`n`(_$)->_$`dInnerSparseUnivariatePowerSeries(Coef)``1210066
otaylorRep`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1210161
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1210280
otaylor_via_deriv`3`n`(Coef,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1210486
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1210692
otaylor_via_deriv`3`n`(PS,List(PS),List((Coef)->Coef))->PS`xTaylorSeriesExpansion&(S,Coef,Expon,Var,PS,UTS)``1210898
otaylor_via_lode`3`n`(List(UTS),PS,List(Coef))->PS`cTaylorSeriesExpansion(Coef,Expon,Var,PS,UTS)``1211104
otaylor`1`x`(FE)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1211260
otaylor`1`x`(Symbol)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1211441
otaylor`1`x`(_$)->UTS`cUnivariateLaurentSeriesConstructorCategory(Coef,UTS)``1211509
otaylor`2`x`((Integer)->FE,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1211650
otaylor`2`x`(FE,Equation(FE))->Any`pExpressionToUnivariatePowerSeries(R,FE)``1211737
otaylor`2`x`(FE,NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1211850
otaylor`3`x`((Integer)->FE,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1212093
otaylor`3`x`(FE,Equation(FE),NonNegativeInteger)->Any`pExpressionToUnivariatePowerSeries(R,FE)``1212278
otaylor`3`x`(FE,Symbol,Equation(FE))->Any`pGenerateUnivariatePowerSeries(R,FE)``1212445
otaylor`4`x`(FE,Symbol,Equation(FE),UniversalSegment(NonNegativeInteger))->Any`pGenerateUnivariatePowerSeries(R,FE)``1212531
otensorMap`2`n`(Stream(R),(R)->List(R))->Stream(R)`pStreamTensor(R)``1212716
otensorProduct`1`x`(List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1212892
otensorProduct`1`x`(Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1213261
otensorProduct`2`x`(List(Matrix(R)),List(Matrix(R)))->List(Matrix(R))`pRepresentationPackage1(R)``1213360
otensorProduct`2`x`(Matrix(R),Matrix(R))->Matrix(R)`pRepresentationPackage1(R)``1213757
otensor`1`n`(List(B))->_$`dTensorPower(n,R,B,M)``0
otensor`1`n`(List(M))->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`1`x`(List(M))->_$`cTensorPowerCategory(n,R,M)``1214042
otensor`2`n`(M,M)->S`xTensorPowerCategory&(S,n,R,M)``0
otensor`2`n`(_$,_$)->_$`dOutputForm``1214151
otensor`2`x`(M,N)->_$`cTensorProductCategory(R,M,N)``1214217
oterminal`1`n`(S)->A`xPoset&(A,S)``0
oterminal`1`n`(S)->_$`cFiniteGraph(S)``1214315
oterms`1`x`(_$)->List(Record(gen:S,exp:E))`cFreeAbelianMonoidCategory(S,E)``1214406
oterms`1`x`(_$)->List(Record(k:M,c:R))`cMonoidRingCategory(R,M)``1214497
oterms`1`x`(_$)->Stream(Record(k:Expon,c:Coef))`cUnivariatePowerSeriesCategory(Coef,Expon)``1214657
otestAbsolutePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1214839
otestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1215019
otestComplexEquals`2`n`(String,String)->Void`pUnittest``1215248
otestDim`2`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),List(OrderedVariableList(lv)))->Union(List(HomogeneousDistributedMultivariatePolynomial(lv,F)),"failed")`pGroebnerSolve(lv,F,R)``1215470
otestEqualsAuxCmp`2`n`(R,R)->Boolean`pUnittestAux(R)``1215587
otestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1215653
otestEquals`2`n`(String,String)->Void`pUnittest``1215943
otestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1216219
otestLibraryError`1`n`(String)->Void`pUnittest``1216349
otestModulus`2`n`(R,List(BP))->Boolean`pGenExEuclid(R,BP)``1216468
otestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1216672
otestNotEquals`2`n`(String,String)->Void`pUnittest``1216785
otestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1216884
otestRealEquals`2`n`(String,String)->Void`pUnittest``1217110
otestRelativePrecision`1`n`(R)->R`pUnittestAux(R)`has(R,RealNumberSystem)`1217326
otestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1217506
otestTrue`1`n`(String)->Void`pUnittest``1217581
otest`1`x`(_$)->Boolean`dBoolean``1217645
otestcaseNoClear`1`n`(String)->Void`pUnittestCount``1217741
otestcase`1`n`(String)->Void`pUnittestCount``1217899
otestco`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218043
otestcp`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer),Integer)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218065
otestcx`2`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Fraction(Integer))->UnivariatePolynomial(var,Expression(Integer))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218087
otestf2`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer))->Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expressi--on(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218109
otestfg`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->List(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218131
otestfn`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->List(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactori--zer2(var,cen)``1218153
otestfo`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(va--r,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolyn--omial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218175
otestfr`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))),String)->Union(List(Record(op:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),ram:UnivariatePolynomial(va--r,Expression(Integer)),expart:UnivariateLaurentSeries(Expression(Integer),var,cen))),List(Union(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Record(ope:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),dext:PositiveInteger,alpha:Expression(Integer),rami:UnivariatePolyn--omial(var,Expression(Integer))))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218197
otestgt`2`n`(Expression(Integer),Kernel(Expression(Integer)))->Expression(Integer)`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218219
otestis`1`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218241
otestlc`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(llc:List(Stream(Record(k:Integer,c:Expression(Integer)))),rlc:List(Stream(Record(k:Integer,c:Expression(Integer)))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218263
otestll`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(laurl:List(UnivariateLaurentSeries(Expression(Integer),var,cen)),laurr:List(UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,c--en)``1218295
otestln`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Record(main:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:Lin--earOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))),nf:Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)--)),error:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218317
otestlp`2`n`(LinearOrdinaryDifferentialOperator1(Fraction(UnivariatePolynomial(var,Expression(Integer)))),Union(Expression(Integer),"infinity"))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218339
otestlw`6`n`(Fraction(Integer),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),UnivariatePolynomial(var,Expression(Integer)),UnivariatePolynomial(var,Expression(Integer)),Fraction(Integer),Integer)->Stream(Record(Qt:LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen)),Rt:LinearOr--dinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218361
otestnp`1`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->List(Record(point:Record(x:Integer,y:Integer),slope:Fraction(Integer),npoly:UnivariatePolynomial(var,Expression(Integer))))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218383
otestpd`1`n`(UnivariatePolynomial(var,Expression(Integer)))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218405
otestro`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),Expression(Integer),PositiveInteger)->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218427
otestsb`2`n`(Union(UnivariatePolynomial(var,Expression(Integer)),UnivariateLaurentSeries(Expression(Integer),var,cen)),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))))->LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariateTaylorSeries(Expression(Integer),var,cen),UnivariateLaurentSeries(Expression(Integer),var,cen))`pLinearOrdinaryDifferentialOperatorFactorizer2(var,cen)``1218449
otestsc`3`n`(LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),LinearOrdinaryDifferentialOperator3(Expression(Integer),UnivariatePolynomial(var,Expression(Integer)),Fraction(UnivariatePolynomial(var,Expression(Integer)))),(SparseUnivariatePolynomial(Expression(Integer)))->Factored(SparseUnivariatePolynomial(Expression(Integer))))->Boolean`pLinearOrdinaryDifferentialOperatorFactorizer2(var--,cen)``1218473
otestsuiteNoClear`1`n`(String)->Void`pUnittestCount``1218495
otestsuite`1`n`(String)->Void`pUnittestCount``1218657
otex`1`x`(_$)->List(String)`dTexFormat``1218808
othetaCoord`1`n`(Point(R))->R`pPointPackage(R)``1218878
othird`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
othird`1`x`(_$)->S`cUnaryRecursiveAggregate(S)``1219154
otimes!`3`n`(Matrix(R),Matrix(R),Matrix(R))->Matrix(R)`pStorageEfficientMatrixOperations(R)``1219262
otimes`4`n`(C,C,Automorphism(R),(R)->R)->C`pUnivariateSkewPolynomialCategoryOps(R,C)``1219465
otitle`1`x`(String)->_$`dDrawOption``1219586
otitle`2`n`(List(DrawOption),String)->String`pDrawOptionFunctions0``1219728
otitle`2`n`(_$,String)->Void`dTwoDimensionalViewport``1219933
otitle`2`x`(_$,String)->Void`dThreeDimensionalViewport``1220090
otoCayleyGraph`1`n`(PermutationGroup(S))->MultifunctionGraph(String)`dMultifunctionGraph(S)``1220251
otoCayleyGraph`2`n`(List(Permutation(S)),Boolean)->MultifunctionGraph(String)`dMultifunctionGraph(S)``1220301
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),Record(mins:PT,maxs:PT))->Void`dScene(PT)``1220512
otoObj`6`n`(_$,Reference(List(PT)),Reference(List(List(NonNegativeInteger))),Reference(NonNegativeInteger),STransform(PT),SBoundary(PT))->Void`dScene(PT)``1220637
otoPermutationIfCan`1`n`(_$)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1221490
otoPermutationIfCan`2`n`(_$,Boolean)->Union(PermutationGroup(Integer),"failed")`dGroupPresentation``1221700
otoPermutation`1`n`(_$)->PermutationGroup(NonNegativeInteger)`dMultifunctionGraph(S)``1221910
otoPoint`1`n`(_$)->_$`cSPointCategory``1222007
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1222181
otoSVG`8`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT),DoubleFloat,Boolean,Boolean,SceneNamedPoints(PT))->XmlElement`dScene(PT)``1222306
otoScale`1`x`(Boolean)->_$`dDrawOption``1223142
otoScale`2`n`(List(DrawOption),Boolean)->Boolean`pDrawOptionFunctions0``1223372
otoStringConven`2`n`(_$,List(String))->String`dLambda(UT)``1223581
otoStringUnwrapped`1`n`(_$)->String`dILogic``1223872
otoStringUnwrapped`1`n`(_$)->String`dLatticeJoinOfMeets``1223951
otoStringUnwrapped`1`n`(_$)->String`dLatticeMeetOfJoins``1224030
otoString`1`n`(_$)->String`cVarCat``1224109
otoString`1`n`(_$)->String`dILogic``1224162
otoString`1`n`(_$)->String`dLambda(UT)``1224232
otoString`1`n`(_$)->String`dLatticeJoinOfMeets``1224451
otoString`1`n`(_$)->String`dLatticeMeetOfJoins``1224521
otoString`1`n`(_$)->String`dSKICombinators(UT)``1224591
otoString`1`n`(_$)->String`dSceneNamedPoints(PT)``1224605
otoString`2`n`(S,NonNegativeInteger)->String`xFloatingPointSystem&(S)``0
otoString`2`x`(_$,NonNegativeInteger)->String`cFloatingPointSystem``1224681
otoTable`1`x`((_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1224794
otoTable`1`x`((_$,_$)->_$)->Matrix(_$)`dCliffordAlgebra(n,K,bLin)``1224959
otoVector`1`n`(_$)->_$`cSPointCategory``1225248
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),Record(mins:PT,maxs:PT))->XmlElement`dScene(PT)``1225415
otoX3D`4`n`(_$,Record(lineWidth:DoubleFloat,lineCol:String,fillCol:String,matOpacity:DoubleFloat),STransform(PT),SBoundary(PT))->XmlElement`dScene(PT)``1225540
oto_UP`1`n`(_$)->SparseUnivariatePolynomial(Fraction(Polynomial(Integer)))`dFakePolynomial``0
oto_mod_pa`2`n`(SparseUnivariatePolynomial(Integer),Integer)->U32Vector`pU32VectorPolynomialOperations``1225965
otopFortranOutputStack`0`n`()->String`pFortranOutputStackPackage``1226097
otopPredicate`1`n`(_$)->Record(var:List(Symbol),pred:Any)`dPattern(R)``1226187
otop`1`x`(_$)->S`cStackAggregate(S)``1226389
otopologicalSort!`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1226559
otopologicalSort`2`n`((T,T)->Boolean,List(T))->List(T)`pListPackage(T)``1226719
otopologicalSort`2`n`(List(List(Boolean)),List(T))->List(T)`pListPackage(T)``1226837
otoroidal`1`x`(R)->(Point(R))->Point(R)`pCoordinateSystems(R)``1227077
otorsion?`1`n`(FiniteDivisor(F,UP,UPUP,R))->Boolean`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1227388
otorsion?`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Boolean`pPointsOfFiniteOrderRational(UP,UPUP,R)``1227494
otorsionIfCan`1`n`(FiniteDivisor(F,UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrder(R0,F,UP,UPUP,R)``1227534
otorsionIfCan`1`n`(FiniteDivisor(Fraction(Integer),UP,UPUP,R))->Union(Record(order:NonNegativeInteger,function:R),"failed")`pPointsOfFiniteOrderRational(UP,UPUP,R)``1227740
otorusSurface`0`n`()->DeltaComplex(VS)`pDeltaComplexFactory(VS)``1227784
otorusSurface`0`n`()->FiniteCubicalComplex(Integer)`pCubicalComplexFactory``1227839
otorusSurface`0`n`()->FiniteSimplicialComplex(VS)`pSimplicialComplexFactory(VS)``1227915
otoseInvertible?`2`x`(P,TS)->Boolean`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1227996
otoseInvertible?`2`x`(P,TS)->List(Record(val:Boolean,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1228129
otoseInvertibleSet`2`x`(P,TS)->List(TS)`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1228262
otoseLastSubResultant`3`x`(P,P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1228399
otoseSquareFreePart`2`x`(P,TS)->List(Record(val:P,tower:TS))`pRegularTriangularSetGcdPackage(R,E,V,P,TS)``1228542
ototalDegreeSorted`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegreeSorted`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1228674
ototalDegree`1`n`(S)->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`1`n`(S)->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`1`n`(_$)->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1228888
ototalDegree`2`n`(S,List(SingletonAsOrderedSet))->NonNegativeInteger`xUnivariatePolynomialCategory&(S,R)``0
ototalDegree`2`n`(S,List(VarSet))->NonNegativeInteger`xPolynomialCategory&(S,R,E,VarSet)``0
ototalDegree`2`n`(_$,List(VarSet))->NonNegativeInteger`cMaybeSkewPolynomialCategory(R,E,VarSet)``1228992
ototalDifferential`1`n`(Expression(CoefRing))->_$`dDeRhamComplex(CoefRing,listIndVar)``1229135
ototalGroebner`2`x`(List(Polynomial(F)),List(Symbol))->List(Polynomial(F))`pPolyGroebner(F)``1229239
ototalLex`2`n`(Vector(S),Vector(S))->Boolean`pOrderingFunctions(dim,S)``1229503
ototalfract`1`x`(PRF)->Record(sup:Polynomial(R),inf:Polynomial(R))`pMPolyCatRationalFunctionFactorizer(E,OV,R,PRF)``1229686
ototolex`1`n`(List(HomogeneousDistributedMultivariatePolynomial(lv,F)))->List(DistributedMultivariatePolynomial(lv,F))`pLinGroebnerPackage(lv,F)``1229917
otower`1`n`(List(S))->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`n`(S)->List(Kernel(S))`xExpressionSpace&(S)``0
otower`1`x`(List(_$))->List(Kernel(_$))`cExpressionSpace``1229953
otower`1`x`(_$)->List(Kernel(_$))`cExpressionSpace``1230090
otrace2PowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1230195
otraceMatrix`0`n`()->Matrix(R)`xFramedAlgebra&(S,R,UP)``1230355
otraceMatrix`0`x`()->Matrix(R)`cFramedAlgebra(R,UP)``1230524
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFiniteRankAlgebra&(S,R,UP)``0
otraceMatrix`1`n`(Vector(S))->Matrix(R)`xFramedAlgebra&(S,R,UP)``0
otraceMatrix`1`x`(Vector(_$))->Matrix(R)`cFiniteRankAlgebra(R,UP)``1230693
otracePowMod`3`x`(FP,NonNegativeInteger,FP)->FP`pDistinctDegreeFactorize(F,FP)``1230809
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`(_$)->F`cFiniteAlgebraicExtensionField(F)``1230932
otrace`1`x`(_$)->R`cFiniteRankAlgebra(R,UP)``1231076
otrace`1`x`(_$)->R`cSquareMatrixCategory(ndim,R,Row,Col)``1231186
otrace`2`n`(S,PositiveInteger)->S`xFiniteAlgebraicExtensionField&(S,F)``0
otrace`2`n`(Vector(GF),PositiveInteger)->Vector(GF)`pInnerNormalBasisFieldFunctions(GF)``1231323
otrace`2`x`(_$,PositiveInteger)->_$`cFiniteAlgebraicExtensionField(F)`has(F,Finite)`1231422
otrailingCoefficient`1`n`(_$)->R`dLaurentPolynomial(R,UP)``1231718
otranscendenceDegree`0`n`()->NonNegativeInteger`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendenceDegree`0`x`()->NonNegativeInteger`cExtensionField(F)``1231766
otranscendent?`1`n`(S)->Boolean`xExtensionField&(S,F)``0
otranscendent?`1`n`(S)->Boolean`xFiniteAlgebraicExtensionField&(S,F)``0
otranscendent?`1`x`(_$)->Boolean`cExtensionField(F)``1231894
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`2`x`(P,TS)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pRegularSetDecompositionPackage(R,E,V,P,TS)``0
otranscendentalDecompose`3`x`(P,TS,NonNegativeInteger)->Record(done:List(TS),todo:List(Record(val:List(P),tower:TS)))`pSquareFreeRegularSetDecompositionPackage(R,E,V,P,TS)``0
otransform`1`n`(DistributedMultivariatePolynomial(lv,F))->HomogeneousDistributedMultivariatePolynomial(lv,F)`pLinGroebnerPackage(lv,F)``1232018
otransform`1`n`(JB1)->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1232056
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JB2)`pJetCoordinateTransformation(JB1,JB2,Y,W)``1232160
otransform`1`n`(JetBundleExpression(JB1))->JetBundleExpression(JetBundleSymAna(JB1,xi,eta))`pSymmetryAnalysis(JB1,xi,eta)``1232247
otranslate`3`x`(R,R,R)->_$`dDenavitHartenbergMatrix(R)``1232344
otranslate`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1232456
otranslate`4`n`(_$,PositiveInteger,Float,Float)->Void`dTwoDimensionalViewport``1232682
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`(S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
otranspose`1`n`(_$)->_$`dSquareMatrix(ndim,R)``1233155
otranspose`1`x`(Row)->_$`cMatrixCategory(R,Row,Col)``1233228
otranspose`1`x`(_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1233298
otranspose`1`x`(_$)->_$`dCartesianTensor(minix,dim,R)``1233370
otranspose`3`x`(_$,Integer,Integer)->_$`dCartesianTensor(minix,dim,R)``1233629
otrapezoidal`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1233935
otrapezoidalo`7`x`((Float)->Float,Float,Float,Float,Float,Integer,Integer)->Record(value:Float,error:Float,totalpts:Integer,success:Boolean)`pNumericalQuadrature``1234649
otraverse`2`n`(_$,List(NonNegativeInteger))->_$`dSubSpace(n,R)``1235357
otree`1`x`(List(S))->_$`dTree(S)``1235704
otree`1`x`(S)->_$`dTree(S)``1235779
otree`2`x`(S,List(_$))->_$`dTree(S)``1235858
otrial_division`5`n`(MP,Polynomial(Integer),List(MP),Symbol,List(Symbol))->Boolean`cModularEvaluationCategory(PT,MP)``1235950
otriangSolve`1`x`(List(Polynomial(R)))->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1236195
otriangSolve`2`x`(List(Polynomial(R)),Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1236286
otriangSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(RegularChain(R,ls))`pZeroDimensionalSolvePackage(R,ls,ls2)``1236377
otriangle`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dDeltaComplex(VS)``1237432
otriangular?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otriangular?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)`has(R,IntegralDomain)`1237477
otriangularSystems`2`x`(List(Fraction(Polynomial(R))),List(Symbol))->List(List(Polynomial(R)))`pSystemSolvePackage(R)``1237671
otriangulate`2`n`(Matrix(F),List(Vector(F)))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),lg:List(Vector(F)),eq:LO,lrh:List(F))))`pSystemODESolver(F,LO)``1238027
otriangulate`2`n`(Matrix(F),Vector(F))->Record(A:Matrix(F),eqs:List(Record(C:Matrix(F),g:Vector(F),eq:LO,rh:F)))`pSystemODESolver(F,LO)``1238117
otriangulate`2`n`(Matrix(LO),List(Vector(F)))->Record(mat:Matrix(LO),vecs:List(Vector(F)))`pSystemODESolver(F,LO)``1238501
otriangulate`2`n`(Matrix(LO),Vector(F))->Record(mat:Matrix(LO),vec:Vector(F))`pSystemODESolver(F,LO)``1238742
otrigs2explogs`2`n`(FG,List(Kernel(FG)))->FG`pInnerTrigonometricManipulations(R,F,FG)``1238912
otrigs`1`x`(F)->F`pComplexTrigonometricManipulations(R,F)``1239227
otrigs`1`x`(F)->F`pTrigonometricManipulations(R,F)``1239356
otrim`2`n`(A,S)->A`xLinearAggregate&(A,S)``0
otrim`2`n`(S,Character)->S`xStringAggregate&(S)``0
otrim`2`n`(S,CharacterClass)->S`xStringAggregate&(S)``0
otrim`2`x`(_$,CharacterClass)->_$`cStringAggregate``1239485
otrim`2`x`(_$,S)->_$`cLinearAggregate(S)`AND(has(_$,finiteAggregate),has(S,BasicType))`1239673
otrivialIdeal?`1`n`(S)->Boolean`xPolynomialSetCategory&(S,R,E,VarSet,P)``0
otrivialIdeal?`1`x`(_$)->Boolean`cPolynomialSetCategory(R,E,VarSet,P)``1239864
otrueEqual`2`n`(_$,_$)->Boolean`dInnerAlgebraicNumber``1239966
otrue`0`x`()->_$`dBoolean``1240046
otrunc`2`x`(_$,NonNegativeInteger)->_$`cFreeLieAlgebra(VarSet,R)``1240088
otrunc`2`x`(_$,NonNegativeInteger)->_$`cXPolynomialsCat(vl,R)``1240177
otruncate`1`n`(S)->S`xRealNumberSystem&(S)``0
otruncate`1`x`(_$)->_$`cRealNumberSystem``1240266
otruncate`2`x`(_$,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1240355
otruncate`3`x`(_$,Expon,Expon)->_$`cUnivariatePowerSeriesCategory(Coef,Expon)``1240488
otruncated_mul_add`5`n`(U32Vector,U32Vector,U32Vector,Integer,Integer)->Void`pU32VectorPolynomialOperations``1240651
otruncated_multiplication`4`n`(U32Vector,U32Vector,Integer,Integer)->U32Vector`pU32VectorPolynomialOperations``1240771
otryFunctionalDecomposition?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1240873
otryFunctionalDecomposition`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1241019
otryTwoFactor`1`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1241213
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1241403
otubePlot`7`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer)->TubePlot(Plot3D)`pExpressionTubePlot``1241684
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),(DoubleFloat)->DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1241955
otubePlot`8`n`(Expression(Integer),Expression(Integer),Expression(Integer),(DoubleFloat)->DoubleFloat,Segment(DoubleFloat),DoubleFloat,Integer,String)->TubePlot(Plot3D)`pExpressionTubePlot``1242330
otubePointsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1242703
otubePointsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1242841
otubePoints`1`x`(PositiveInteger)->_$`dDrawOption``1242985
otubePoints`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1243202
otubeRadiusDefault`0`x`()->DoubleFloat`pViewDefaultsPackage``1243417
otubeRadiusDefault`1`x`(Float)->DoubleFloat`pViewDefaultsPackage``1243495
otubeRadius`1`x`(Float)->_$`dDrawOption``1243586
otubeRadius`2`n`(List(DrawOption),Float)->Float`pDrawOptionFunctions0``1243732
otube`3`n`(Curve,DoubleFloat,Integer)->TubePlot(Curve)`pNumericTubePlot(Curve)``1243947
otube`3`n`(Curve,List(List(Point(DoubleFloat))),Boolean)->_$`dTubePlot(Curve)``1244040
otwist`1`x`((A,B)->C)->(B,A)->C`pMappingPackage3(A,B,C)``1244356
otwoFactor`2`n`(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)),Integer)->Factored(SparseUnivariatePolynomial(SparseUnivariatePolynomial(F)))`pTwoFactorize(F)``1244458
otypeList`2`n`(FortranScalarType,_$)->List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer)))))`dSymbolTable``1244778
otypeLists`1`n`(_$)->List(List(Union(name:Symbol,bounds:List(Union(S:Symbol,P:Polynomial(Integer))))))`dSymbolTable``1244869
otype`1`n`(_$)->Symbol`cJetBundleCategory``1244956
oucodeToString`1`x`(Integer)->_$`dString``1245066
ouentries`1`x`(_$)->List(SingleInteger)`dString``1245209
ounary?`1`x`(_$)->Boolean`dBasicOperator``1245539
ounaryFunction`1`n`(Symbol)->(D)->I`pMakeUnaryCompiledFunction(S,D,I)``1245593
ounbind`1`n`(_$)->_$`dLambda(UT)``1245644
ouncouplingMatrices`1`n`(Matrix(R))->Vector(Matrix(R))`pAssociatedEquations(R,L)``1245735
oundirectedGraph`1`n`(FinitePoset(S))->_$`dUndirectedGraph(S)``1245977
oundirectedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1246154
oundirectedGraph`1`n`(List(S))->_$`dUndirectedGraph(S)``1246258
oundirectedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dUndirectedGraph(S)``1246530
oundirectedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dUndirectedGraph(S)``1246645
oundirectedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dUndirectedGraph(S)``1246715
ounexpand`1`n`(XDistributedPolynomial(Symbol,R))->_$`dXPolynomial(R)``0
ounexpand`1`n`(XDistributedPolynomial(VarSet,R))->_$`dXRecursivePolynomial(VarSet,R)``1246904
ouniform01`0`n`()->Float`pRandomFloatDistributions``1246966
ouniform`1`n`(Segment(Integer))->()->Integer`pRandomIntegerDistributions``1247006
ouniform`1`n`(Set(S))->()->S`pRandomDistributions(S)``1247045
ouniform`2`n`(Float,Float)->()->Float`pRandomFloatDistributions``1247084
ounion`1`n`(List(_$))->_$`dSBoundary(PT)``1247128
ounion`2`n`(A,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(A,S)->A`xSetAggregate&(A,S)``0
ounion`2`n`(List(Kernel(F)),List(Kernel(F)))->List(Kernel(F))`pIntegrationTools(R,F)``1247272
ounion`2`n`(S,A)->A`xFiniteSetAggregate&(A,S)``0
ounion`2`n`(S,A)->A`xSetAggregate&(A,S)``0
ounion`2`n`(_$,_$)->_$`dPatternMatchResult(R,S)``1247358
ounion`2`x`(S,_$)->_$`cSetAggregate(S)``1247428
ounion`2`x`(_$,S)->_$`cSetAggregate(S)``1247614
ounion`2`x`(_$,_$)->_$`cSetAggregate(S)``1247800
ounit?`1`n`(S)->Boolean`xEntireRing&(S)``0
ounit?`1`x`(_$)->Boolean`cEntireRing``1247930
ounitCanonical`1`n`(S)->S`xEntireRing&(S)``0
ounitCanonical`1`n`(S)->S`xField&(S)``0
ounitCanonical`1`x`(_$)->_$`cEntireRing``1248022
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)`xEntireRing&(S)``0
ounitNormal`1`n`(S)->Record(unit:S,canonical:S,associate:S)`xField&(S)``0
ounitNormal`1`x`(_$)->Record(unit:_$,canonical:_$,associate:_$)`cEntireRing``1248093
ounitNormalize`1`x`(_$)->_$`dFactored(R)``1248407
ounitVector`1`n`(IS)->_$`dGeneralModulePolynomial(vl,R,IS,E,ff,P)``1248608
ounitVector`1`n`(Point(DoubleFloat))->Point(DoubleFloat)`pTubePlotTools``1248650
ounitVector`1`n`(_$)->_$`cSPointCategory``1248795
ounitVector`1`x`(PositiveInteger)->_$`cDirectProductCategory(dim,R)`AND(has(R,AbelianMonoid),has(R,Monoid))`1248925
ounit`0`n`()->Union(S,"failed")`xFramedNonAssociativeAlgebra&(S,R)``0
ounit`0`x`()->Union(_$,"failed")`cFiniteRankNonAssociativeAlgebra(R)`has(R,IntegralDomain)`1249019
ounit`1`x`(List(Float))->_$`dDrawOption``1249131
ounit`1`x`(_$)->R`dFactored(R)``1249285
ounit`2`n`(List(S),String)->A`xPoset&(A,S)``0
ounit`2`n`(List(S),String)->_$`cFiniteGraph(S)``1249352
ounitsColorDefault`0`x`()->Palette`pViewDefaultsPackage``1249605
ounitsColorDefault`1`x`(Palette)->Palette`pViewDefaultsPackage``1249701
ounits`1`n`(_$)->List(Float)`dGraphImage``1249819
ounits`2`n`(List(DrawOption),List(Float))->List(Float)`pDrawOptionFunctions0``1250004
ounits`2`n`(_$,List(Float))->List(Float)`dGraphImage``1250208
ounits`3`n`(_$,PositiveInteger,Palette)->Void`dTwoDimensionalViewport``1250509
ounits`3`n`(_$,PositiveInteger,String)->Void`dTwoDimensionalViewport``1250763
ounivariate?`1`n`(P)->Boolean`pPolynomialSetUtilitiesPackage(R,E,V,P)``1251030
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial('x,Coef)`dUnivariateFormalPowerSeries(Coef)``0
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dSparseUnivariateTaylorSeries(Coef,var,cen)``1251128
ounivariatePolynomial`2`n`(_$,NonNegativeInteger)->UnivariatePolynomial(var,Coef)`dUnivariateTaylorSeries(Coef,var,cen)``1251287
ounivariatePolynomialsGcds`1`n`(List(P))->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1251446
ounivariatePolynomialsGcds`2`n`(List(P),Boolean)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)`has(R,GcdDomain)`1251626
ounivariatePolynomials`1`n`(List(P))->Record(goodPols:List(P),badPols:List(P))`pPolynomialSetUtilitiesPackage(R,E,V,P)``1251874
ounivariateSolve`1`x`(List(Polynomial(R)))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1252037
ounivariateSolve`1`x`(RegularChain(R,ls))->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1252146
ounivariateSolve`2`x`(List(Polynomial(R)),Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1252319
ounivariateSolve`3`x`(List(Polynomial(R)),Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1252437
ounivariateSolve`4`x`(List(Polynomial(R)),Boolean,Boolean,Boolean)->List(Record(complexRoots:SparseUnivariatePolynomial(R),coordinates:List(Polynomial(R))))`pZeroDimensionalSolvePackage(R,ls,ls2)``1252566
ounivariate`1`x`(_$)->SparseUnivariatePolynomial(R)`cPolynomialCategory(R,E,VarSet)``1253370
ounivariate`2`n`(F,V)->Fraction(SparseUnivariatePolynomial(F))`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1253637
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)``1253741
ounivariate`2`x`(Polynomial(R),Variable(x))->UnivariatePolynomial(x,Polynomial(R))`pPolynomialToUnivariatePolynomial(x,R)``1253845
ounivariate`2`x`(_$,Kernel(_$))->Fraction(SparseUnivariatePolynomial(_$))`cFunctionSpace(R)`has(R,IntegralDomain)`1254016
ounivariate`2`x`(_$,VarSet)->SparseUnivariatePolynomial(_$)`cPolynomialCategory(R,E,VarSet)``1254111
ounivariate`3`n`(F,V,SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(F)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1254318
ounivariate`4`n`(F,Kernel(F),Kernel(F),SparseUnivariatePolynomial(F))->SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))`pGenusZeroIntegration(R,F,L)``1254464
ounivcase`2`n`(P,OV)->Factored(P)`pMultivariateSquareFree(E,OV,R,P)``1254521
ouniverse`0`n`()->A`xFiniteSetAggregate&(A,S)``0
ouniverse`0`x`()->_$`cFiniteSetAggregate(S)`has(S,Finite)`1254560
ounkextint`3`n`((List(F))->List(Record(ratpart:F,coeffs:Vector(F))),(Matrix(F))->List(Vector(F)),List(Fraction(UP)))->List(Record(ratpart:F,coeffs:Vector(F)))`pParametricTranscendentalIntegration(F,UP)``1254656
ounmakeSUP`1`n`(SparseUnivariatePolynomial(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounmakeSUP`1`x`(SparseUnivariatePolynomial(R))->_$`cUnivariatePolynomialCategory(R)``1254811
ounpack_poly`5`n`(List(Symbol),SortedExponentVector,PrimitiveArray(Integer),Integer,Integer)->SparseUnivariatePolynomial(Polynomial(Integer))`pModularHermitePade``1254970
ounparse`1`n`(_$)->String`dInputForm``1255264
ounprotectedRemoveRedundantFactors`2`n`(P,P)->List(P)`pPolynomialSetUtilitiesPackage(R,E,V,P)``1255429
ounrankImproperPartitions0`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1255780
ounrankImproperPartitions1`3`x`(Integer,Integer,Integer)->List(Integer)`pSymmetricGroupCombinatoricFunctions``1256315
ounravel`1`x`(List(R))->_$`dCartesianTensor(minix,dim,R)``1256926
ountab`2`n`(List(List(S)),List(List(List(S))))->List(List(S))`pTableauxBumpers(S)``1257049
ounvectorise`1`n`(Vector(R))->S`xUnivariatePolynomialCategory&(S,R)``0
ounvectorise`1`x`(Vector(R))->_$`cUnivariatePolynomialCategory(R)``1257179
ounvectorise`3`n`(Vector(Expression(R)),Fraction(SparseUnivariatePolynomial(Expression(R))),Integer)->Fraction(SparseUnivariatePolynomial(Expression(R)))`pTransSolvePackageService(R)``1257307
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)``1257540
oupdatF`3`n`(Dpol,NonNegativeInteger,List(Record(totdeg:NonNegativeInteger,pol:Dpol)))->List(Record(totdeg:NonNegativeInteger,pol:Dpol))`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1257575
oupdate!`2`n`(_$,SingleInteger)->_$`dHashState``1257610
oupdateStatus!`1`n`(_$)->_$`dSplittingTree(V,C)``1257757
oupdate`3`n`(_$,GraphImage,PositiveInteger)->Void`dTwoDimensionalViewport``1257883
oupperCase!`1`x`(_$)->_$`cStringAggregate``1258067
oupperCase?`1`x`(_$)->Boolean`dCharacter``1258182
oupperCase`0`x`()->_$`dCharacterClass``1258293
oupperCase`1`n`(S)->S`xStringAggregate&(S)``0
oupperCase`1`x`(_$)->_$`cStringAggregate``1258417
oupperCase`1`x`(_$)->_$`dCharacter``1258498
oupperSet`1`n`(_$)->_$`cPoset(S)``1258667
ouseEisensteinCriterion?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1258809
ouseEisensteinCriterion`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1258938
ouseNagFunctions`0`n`()->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1259135
ouseNagFunctions`1`n`(Boolean)->Boolean`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1259268
ouseSingleFactorBound?`0`n`()->Boolean`pGaloisGroupFactorizer(UP)``1259475
ouseSingleFactorBound`1`n`(Boolean)->Boolean`pGaloisGroupFactorizer(UP)``1259647
ouserOrdered?`0`n`()->Boolean`pUserDefinedPartialOrdering(S)``1259867
ousingTable?`0`n`()->Boolean`pTabulatedComputationPackage(Key,Entry)``1260002
ovalidExponential`3`x`(List(Kernel(F)),F,Symbol)->Union(F,"failed")`pElementaryFunctionStructurePackage(R,F)``1260077
ovalidate`1`n`(_$)->Boolean`dChainComplex``1260242
ovalidate`1`n`(_$)->Boolean`dCoChainComplex(VS)``1260358
ovalue`1`n`(A)->S`xLazyStreamAggregate&(A,S)``0
ovalue`1`n`(A)->S`xUnaryRecursiveAggregate&(A,S)``0
ovalue`1`n`(_$)->SingleInteger`dHashState``1260485
ovalue`1`n`(_$)->Symbol`dILogic``1260565
ovalue`1`n`(_$)->Symbol`dLatticeJoinOfMeets``1260837
ovalue`1`n`(_$)->Symbol`dLatticeMeetOfJoins``1261109
ovalue`1`n`(_$)->V`dSplittingNode(V,C)``1261381
ovalue`1`x`(_$)->Integer`dOrdSetInts``1261444
ovalue`1`x`(_$)->S`cRecursiveAggregate(S)``1261512
ovalue`1`x`(_$)->String`dQueryEquation``1261575
ovalues`0`n`()->NonNegativeInteger`pRecurrenceOperator(R,F)``1261665
ovalues`1`n`(NonNegativeInteger)->NonNegativeInteger`pRecurrenceOperator(R,F)``1261745
ovar1StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1261822
ovar1StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1262090
ovar1Steps`1`x`(PositiveInteger)->_$`dDrawOption``1262349
ovar1Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1262517
ovar2StepsDefault`0`x`()->PositiveInteger`pViewDefaultsPackage``1262730
ovar2StepsDefault`1`x`(PositiveInteger)->PositiveInteger`pViewDefaultsPackage``1262998
ovar2Steps`1`x`(PositiveInteger)->_$`dDrawOption``1263257
ovar2Steps`2`n`(List(DrawOption),PositiveInteger)->PositiveInteger`pDrawOptionFunctions0``1263426
ovarList`1`n`(_$)->List(S)`dFreeMonoid(S)`has(S,BasicType)`1263639
ovarList`1`n`(_$)->List(VarSet)`dFreeMagma(VarSet)``1263707
ovarList`1`n`(_$)->List(VarSet)`dLieExponentials(VarSet,R,Order)``1263782
ovarList`1`n`(_$)->List(VarSet)`dLyndonWord(VarSet)``1263850
ovarList`1`n`(_$)->List(VarSet)`dPoincareBirkhoffWittLyndonBasis(VarSet)``1263925
ovarList`1`x`(_$)->List(VarSet)`cFreeLieAlgebra(VarSet,R)``1264029
ovarList`1`x`(_$)->List(vl)`cXFreeAlgebra(vl,R)``1264104
ovar`1`n`(String)->_$`cVarCat``1264185
ovar`2`n`(String,ILogic)->_$`cVarCat``1264237
ovariable?`1`n`(_$)->Boolean`dSKICombinators(UT)``1264293
ovariableName`1`n`(List(GuessOption))->Symbol`dGuessOptionFunctions0``1264343
ovariableName`1`x`(Symbol)->_$`dGuessOption``1264476
ovariableOf`1`n`(_$)->Symbol`dSimpleCell(TheField,ThePols)``1264640
ovariable`0`n`()->Symbol`dVariable(sym)``1264697
ovariable`1`n`(String)->_$`dLatticeJoinOfMeets``1264741
ovariable`1`n`(String)->_$`dLatticeMeetOfJoins``1264769
ovariable`1`n`(Symbol)->Union(_$,"failed")`dOrderedVariableList(VariableList)``1264797
ovariable`1`x`(_$)->S`cDifferentialVariableCategory(S)``1264870
ovariable`1`x`(_$)->Symbol`cUnivariatePowerSeriesCategory(Coef,Expon)``1264987
ovariable`1`x`(_$)->Symbol`dQueryEquation``1265086
ovariable`1`x`(_$)->Symbol`dSegmentBinding(S)``1265181
ovariablesOf`1`n`(_$)->List(Symbol)`dCell(TheField)``1265384
ovariables`1`n`(F)->List(V)`pPolynomialCategoryQuotientFunctions(E,V,R,P,F)``1265451
ovariables`1`n`(List(S))->List(Symbol)`xFunctionSpace&(S,R)``0
ovariables`1`n`(NonNegativeInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`1`n`(NonNegativeInteger)->List(_$)`cJetBundleCategory``1265567
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)``1265655
ovariables`1`n`(_$)->List(Symbol)`dFortranExpression(basicSymbols,subscriptedSymbols,R)``1265754
ovariables`1`n`(_$)->List(VarSet)`cMaybeSkewPolynomialCategory(R,E,VarSet)``1265829
ovariables`1`n`(_$)->List(_$)`dPattern(R)``1265939
ovariables`1`x`(Fraction(Polynomial(R)))->List(Symbol)`pRationalFunction(R)``1266028
ovariables`1`x`(List(_$))->List(Symbol)`cFunctionSpace(R)``1266144
ovariables`1`x`(_$)->List(Symbol)`cFunctionSpace(R)``1266259
ovariables`1`x`(_$)->List(Var)`cPowerSeriesCategory(Coef,Expon,Var)``1266337
ovariables`1`x`(_$)->List(VarSet)`cPolynomialSetCategory(R,E,VarSet,P)``1266436
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(S)`xJetBundleCategory&(S)``0
ovariables`2`n`(NonNegativeInteger,PositiveInteger)->List(_$)`cJetBundleCategory``1266571
ovariationOfParameters`3`n`(LODO,F,List(F))->Union(Vector(F),"failed")`pODETools(F,LODO)``1266698
ovark`2`n`(List(F),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1267069
ovarselect`2`n`(List(Kernel(F)),Symbol)->List(Kernel(F))`pIntegrationTools(R,F)``1267205
ovconcat`1`n`(List(_$))->_$`dOutputForm``1267299
ovconcat`2`n`(_$,_$)->_$`dOutputForm``1267376
ovector_add_mul`6`n`(U32Vector,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1267459
ovector_combination`7`n`(U32Vector,Integer,U32Vector,Integer,Integer,Integer,Integer)->Void`pU32VectorPolynomialOperations``1267642
ovector`1`n`(List(Complex(DoubleFloat)))->_$`dComplexDoubleFloatVector``1267834
ovector`1`x`(List(R))->_$`dVector(R)``1267898
ovectorise`2`n`(S,NonNegativeInteger)->Vector(R)`xUnivariatePolynomialCategory&(S,R)``0
ovectorise`2`x`(_$,NonNegativeInteger)->Vector(R)`cUnivariatePolynomialCategory(R)``1267962
overtConcat`1`n`(List(S))->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`1`x`(List(_$))->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1268171
overtConcat`2`n`(S,S)->S`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtConcat`2`x`(_$,_$)->_$`cTwoDimensionalArrayCategory(R,Row,Col)``1268308
overtSplit`2`n`(S,List(NonNegativeInteger))->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`n`(S,PositiveInteger)->List(S)`xTwoDimensionalArrayCategory&(S,R,Row,Col)``0
overtSplit`2`x`(_$,List(NonNegativeInteger))->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1268535
overtSplit`2`x`(_$,PositiveInteger)->List(_$)`cTwoDimensionalArrayCategory(R,Row,Col)``1268730
oviewDefaults`0`x`()->Void`pViewDefaultsPackage``1268876
oviewDeltaXDefault`0`x`()->Float`dThreeDimensionalViewport``1268947
oviewDeltaXDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1269067
oviewDeltaYDefault`0`x`()->Float`dThreeDimensionalViewport``1269224
oviewDeltaYDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1269342
oviewPhiDefault`0`x`()->Float`dThreeDimensionalViewport``1269497
oviewPhiDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1269591
oviewPosDefault`0`x`()->List(NonNegativeInteger)`pViewDefaultsPackage``1269726
oviewPosDefault`1`x`(List(NonNegativeInteger))->List(NonNegativeInteger)`pViewDefaultsPackage``1269934
oviewSizeDefault`0`x`()->List(PositiveInteger)`pViewDefaultsPackage``1270167
oviewSizeDefault`1`x`(List(PositiveInteger))->List(PositiveInteger)`pViewDefaultsPackage``1270246
oviewThetaDefault`0`x`()->Float`dThreeDimensionalViewport``1270354
oviewThetaDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1270451
oviewWriteAvailable`0`x`()->List(String)`pViewDefaultsPackage``1270589
oviewWriteDefault`0`x`()->List(String)`pViewDefaultsPackage``1270712
oviewWriteDefault`1`x`(List(String))->List(String)`pViewDefaultsPackage``1270844
oviewZoomDefault`0`x`()->Float`dThreeDimensionalViewport``1271010
oviewZoomDefault`1`x`(Float)->Float`dThreeDimensionalViewport``1271091
oviewpoint`1`x`(Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->_$`dDrawOption``1271203
oviewpoint`1`x`(_$)->Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat)`dThreeDimensionalViewport``1271469
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``1271838
oviewpoint`2`x`(_$,Record(theta:DoubleFloat,phi:DoubleFloat,scale:DoubleFloat,scaleX:DoubleFloat,scaleY:DoubleFloat,scaleZ:DoubleFloat,deltaX:DoubleFloat,deltaY:DoubleFloat))->Void`dThreeDimensionalViewport``1272063
oviewpoint`3`x`(_$,Float,Float)->Void`dThreeDimensionalViewport``1272323
oviewpoint`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1272679
oviewpoint`6`x`(_$,Float,Float,Float,Float,Float)->Void`dThreeDimensionalViewport``1273085
oviewpoint`6`x`(_$,Integer,Integer,Float,Float,Float)->Void`dThreeDimensionalViewport``1273595
oviewport2D`0`n`()->_$`dTwoDimensionalViewport``1274105
oviewport3D`0`x`()->_$`dThreeDimensionalViewport``1274252
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pGroebnerInternalPackage(Dom,Expon,VarSet,Dpol)``1274403
ovirtualDegree`1`n`(Dpol)->NonNegativeInteger`pNGroebnerPackage(Dom,Expon,VarSet,Dpol)``1274445
ovoid`0`x`()->_$`dVoid``1274466
ovspace`1`n`(Integer)->_$`dOutputForm``1274511
oweakBiRank`1`x`(A)->NonNegativeInteger`pAlgebraPackage(R,A)``1274575
oweberE`2`n`(F,F)->F`pFunctionalSpecialFunction(R,F)``1274759
oweberE`2`x`(_$,_$)->_$`cSpecialFunctionCategory``1274819
oweierstrassHalfPeriods`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1274880
oweierstrassInvariants`2`x`(Complex(Float),Complex(Float))->List(Complex(Float))`pFloatEllipticFunctions``1275023
oweierstrassP0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1275188
oweierstrassPInverse`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1275344
oweierstrassPInverse`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1275539
oweierstrassPPrime0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1275735
oweierstrassPPrime`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1275901
oweierstrassPPrime`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1275948
oweierstrassPPrime`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1276050
oweierstrassPPrime`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1276152
oweierstrassP`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1276251
oweierstrassP`3`x`(Complex(Float),Complex(Float),Complex(Float))->Complex(Float)`pFloatEllipticFunctions``1276293
oweierstrassP`3`x`(Float,Float,Float)->Float`pFloatEllipticFunctions``1276372
oweierstrassP`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1276451
oweierstrassSigma0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1276531
oweierstrassSigma`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1276680
oweierstrassSigma`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1276726
oweierstrassZeta0`3`n`(Coef,Coef,UTS)->UTS`pSpecialFunctionUnivariateTaylorSeries(Coef,UTS)``1276807
oweierstrassZeta`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1276969
oweierstrassZeta`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1277014
oweierstrass`2`n`(Symbol,TaylorSeries(R))->List(TaylorSeries(R))`pWeierstrassPreparation(R)``1277093
oweight`1`n`(A)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`1`n`(A)->NonNegativeInteger`xDifferentialVariableCategory&(A,S)``0
oweight`1`n`(S)->NonNegativeInteger`xJetBundleCategory&(S)``0
oweight`1`n`(_$)->NonNegativeInteger`cJetBundleCategory``1277371
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1277560
oweight`1`x`(_$)->NonNegativeInteger`cDifferentialVariableCategory(S)``1277692
oweight`1`x`(_$)->NonNegativeInteger`dBasicOperator``1277763
oweight`2`n`(A,S)->NonNegativeInteger`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweight`2`x`(_$,NonNegativeInteger)->_$`dBasicOperator``1277830
oweight`2`x`(_$,S)->NonNegativeInteger`cDifferentialPolynomialCategory(R,S,V,E)``1277903
oweightedDistanceMatrix`1`n`(_$)->TwoDimensionalArray(Union(W,"disjoint"))`dWeightedGraph(S,W)``1278142
oweightedGraph`1`n`(FinitePoset(S))->_$`dWeightedGraph(S,W)``1278328
oweightedGraph`1`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)))->_$`dWeightedGraph(S,W)``1278483
oweightedGraph`1`n`(List(S))->_$`dWeightedGraph(S,W)``1278587
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger)),List(Record(name:String,arrType:NonNegativeInteger,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1278859
oweightedGraph`2`n`(List(Record(value:S,posX:NonNegativeInteger,posY:NonNegativeInteger,weight:W)),List(Record(name:String,weight:W,fromOb:NonNegativeInteger,toOb:NonNegativeInteger,xOffset:Integer,yOffset:Integer,map:List(NonNegativeInteger))))->_$`dWeightedGraph(S,W)``1278974
oweightedGraph`2`n`(List(S),List(List(NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1279116
oweightedGraph`2`n`(List(S),List(Record(fromOb:NonNegativeInteger,toOb:NonNegativeInteger)))->_$`dWeightedGraph(S,W)``1279186
oweighted`1`n`(List(Record(value:S,weight:Integer)))->()->S`pRandomDistributions(S)``1279373
oweights`1`n`(A)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`1`x`(_$)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1279413
oweights`2`n`(A,S)->List(NonNegativeInteger)`xDifferentialPolynomialCategory&(A,R,S,V,E)``0
oweights`2`x`(_$,S)->List(NonNegativeInteger)`cDifferentialPolynomialCategory(R,S,V,E)``1279537
owhatInfinity`1`x`(_$)->SingleInteger`dOrderedCompletion(R)``1279772
owhileLoop`2`n`(Switch,_$)->_$`dFortranCode``1279907
owhittakerM`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1279972
owhittakerM`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1280045
owhittakerW`3`n`(F,F,F)->F`pFunctionalSpecialFunction(R,F)``1280119
owhittakerW`3`x`(_$,_$,_$)->_$`cSpecialFunctionCategory``1280192
owholePart`1`x`(_$)->Integer`cRealNumberSystem``1280266
owholePart`1`x`(_$)->R`dContinuedFraction(R)``1280330
owholePart`1`x`(_$)->R`dPartialFraction(R)``1280539
owholePart`1`x`(_$)->S`cQuotientFieldCategory(S)`has(S,EuclideanDomain)`1280624
owholeRadix`1`x`(List(Integer))->_$`dRadixExpansion(bb)``1280777
owholeRagits`1`x`(_$)->List(Integer)`dRadixExpansion(bb)``1280936
owidth`1`x`(_$)->R`cIntervalCategory(R)``1281027
owignerDistribution`1`x`(R)->Distribution(R)`pDistributionPackage(R)``1281082
owithPredicates`2`n`(_$,List(Any))->_$`dPattern(R)``1281171
owordInGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1281342
owordInStrongGenerators`2`x`(Permutation(S),_$)->List(NonNegativeInteger)`dPermutationGroup(S)``1281549
owordsForStrongGenerators`1`x`(_$)->List(List(NonNegativeInteger))`dPermutationGroup(S)``1281766
owreath`2`x`(SymmetricPolynomial(Fraction(Integer)),SymmetricPolynomial(Fraction(Integer)))->SymmetricPolynomial(Fraction(Integer))`pCycleIndicators``1281988
owritable?`1`x`(_$)->Boolean`cFileNameCategory``1282155
owrite!`2`x`(_$,S)->S`cFileCategory(Name,S)``1282268
owriteCategory`4`n`(List(ILogic),String,String,String)->Void`pcompCode``1282447
owriteLine!`1`x`(_$)->String`dTextFile``1282483
owriteLine!`2`x`(_$,String)->String`dTextFile``1282662
owriteObj`2`n`(SubSpace(3,DoubleFloat),String)->Void`pExport3D``1282825
owriteObj`2`n`(_$,String)->Void`dScene(PT)``1282888
owritePackage`5`n`(List(Lambda(Typed)),String,String,String,String)->Void`pcompCode``1283014
owriteSvgQuantised`2`n`(_$,String)->Void`dScene(PT)``1283049
owriteSvg`2`n`(_$,String)->Void`dScene(PT)``1283172
owriteVRML`2`n`(XmlElement,String)->Void`pExportXml``1283286
owriteVRML`2`n`(_$,String)->Void`dScene(PT)``1283572
owriteX3d`2`n`(_$,String)->Void`dScene(PT)``1283688
owriteXml`2`n`(XmlElement,String)->Void`pExportXml``1283804
owrite`2`n`(_$,String)->String`dTwoDimensionalViewport``1284023
owrite`2`x`(_$,String)->String`dThreeDimensionalViewport``1284262
owrite`3`n`(_$,String,List(String))->String`dTwoDimensionalViewport``1284504
owrite`3`n`(_$,String,String)->String`dTwoDimensionalViewport``1284809
owrite`3`x`(_$,String,List(String))->String`dThreeDimensionalViewport``1285088
owrite`3`x`(_$,String,String)->String`dThreeDimensionalViewport``1285396
owronskianMatrix`1`n`(List(F))->Matrix(F)`pODETools(F,LODO)``1285678
owronskianMatrix`2`n`(List(F),NonNegativeInteger)->Matrix(F)`pODETools(F,LODO)``1285824
owrregime`2`n`(List(Record(eqzro:List(GR),neqzro:List(GR),wcond:List(Polynomial(R)),bsoln:Record(partsol:Vector(Fraction(Polynomial(R))),basis:List(Vector(Fraction(Polynomial(R))))))),String)->Integer`pParametricLinearEquations(R,Var,Expon,GR)``1285980
oxCoord`1`n`(Point(R))->R`pPointPackage(R)``1286103
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1286357
oxRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1286464
oxform`2`n`(_$,PT)->PT`dSTransform(PT)``1286571
oxftestComplexEqualsAux`3`n`(String,Complex(R),Complex(R))->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1286654
oxftestComplexEquals`2`n`(String,String)->Void`pUnittest``1286701
oxftestEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1286755
oxftestEquals`2`n`(String,String)->Void`pUnittest``1286802
oxftestLibraryErrorAux`2`n`(String,R)->Void`pUnittestAux(R)``1286849
oxftestLibraryError`1`n`(String)->Void`pUnittest``1286896
oxftestNotEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)``1286949
oxftestNotEquals`2`n`(String,String)->Void`pUnittest``1286996
oxftestRealEqualsAux`3`n`(String,R,R)->Void`pUnittestAux(R)`has(R,RealNumberSystem)`1287046
oxftestRealEquals`2`n`(String,String)->Void`pUnittest``1287093
oxftestTrueAux`2`n`(String,R)->Void`pUnittestAux(R)``1287144
oxftestTrue`1`n`(String)->Void`pUnittest``1287191
oxmlAttribute`2`n`(String,List(String))->_$`dXmlAttribute``1287236
oxmlAttribute`2`n`(String,String)->_$`dXmlAttribute``1287354
oxmlElement`3`n`(String,List(_$),List(XmlAttribute))->_$`dXmlElement``1287452
oxmlElement`3`n`(String,String,List(XmlAttribute))->_$`dXmlElement``1287562
oxn`1`n`(NonNegativeInteger)->SparseUnivariatePolynomial(GF)`pInnerNormalBasisFieldFunctions(GF)``1287658
oxor`2`x`(_$,_$)->_$`cBitAggregate``1287715
oxor`2`x`(_$,_$)->_$`dBoolean``1287821
oxor`2`x`(_$,_$)->_$`dSingleInteger``1287920
oyCoord`1`n`(Point(R))->R`pPointPackage(R)``1288033
oyCoordinates`1`n`(S)->Record(num:Vector(UP),den:UP)`xFunctionFieldCategory&(S,F,UP,UPUP)``0
oyCoordinates`1`x`(_$)->Record(num:Vector(UP),den:UP)`cFunctionFieldCategory(F,UP,UPUP)``1288288
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottablePlaneCurveCategory``1288413
oyRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1288520
oyellow`0`x`()->_$`dColor``1288627
oyoungGroup`1`x`(List(Integer))->PermutationGroup(Integer)`pPermutationGroupExamples``1288706
oyoungGroup`1`x`(Partition)->PermutationGroup(Integer)`pPermutationGroupExamples``1288835
ozCoord`1`n`(Point(R))->R`pPointPackage(R)``1288972
ozRange`1`x`(_$)->Segment(DoubleFloat)`cPlottableSpaceCurveCategory``1289243
ozag`2`n`(_$,_$)->_$`dOutputForm``1289350
ozero?`1`n`(MPT)->Boolean`cModularAlgebraicGcdOperations(MP,MPT,MD)``1289451
ozero?`1`n`(S)->Boolean`xAbelianMonoid&(S)``0
ozero?`1`n`(S)->Boolean`xMatrixCategory&(S,R,Row,Col)``0
ozero?`1`n`(S)->Boolean`xOctonionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xQuaternionCategory&(S,R)``0
ozero?`1`n`(S)->Boolean`xUnivariateLaurentSeriesConstructorCategory&(S,Coef,UTS)``0
ozero?`1`n`(S)->Boolean`xUnivariatePuiseuxSeriesConstructorCategory&(S,Coef,ULS)``0
ozero?`1`n`(S)->Boolean`xUnivariateTaylorSeriesCategory&(S,Coef)``0
ozero?`1`n`(S)->Boolean`xVectorCategory&(S,R)``0
ozero?`1`x`(_$)->Boolean`cAbelianMonoid``1289502
ozero?`1`x`(_$)->Boolean`cMatrixCategory(R,Row,Col)``1289558
ozero?`1`x`(_$)->Boolean`cVectorCategory(R)`has(R,AbelianMonoid)`1289658
ozero?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1289755
ozero?`2`n`(ThePols,S)->Boolean`xRealRootCharacterizationCategory&(S,TheField,ThePols)``0
ozero?`2`x`(ThePols,_$)->Boolean`cRealRootCharacterizationCategory(TheField,ThePols)``1289829
ozeroDim?`1`x`(_$)->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1289925
ozeroDim?`2`x`(_$,List(VarSet))->Boolean`dPolynomialIdeal(F,Expon,VarSet,DPoly)``1290142
ozeroDimPrimary?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1290313
ozeroDimPrime?`1`x`(PolynomialIdeal(Fraction(Integer),DirectProduct(#(vl),NonNegativeInteger),OrderedVariableList(vl),DistributedMultivariatePolynomial(vl,Fraction(Integer))))->Boolean`pIdealDecompositionPackage(vl)``1290400
ozeroDimensional?`1`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))->Boolean`pLexTriangularPackage(R,ls)``1290485
ozeroDimensional?`1`n`(List(Polynomial(R)))->Boolean`pFGLMIfCanPackage(R,ls)``1290654
ozeroMatrix`3`n`(NonNegativeInteger,NonNegativeInteger,NonNegativeInteger)->_$`dThreeDimensionalMatrix(R)`has(R,Ring)`1290816
ozeroMatrix`3`n`(Symbol,Polynomial(Integer),Polynomial(Integer))->FortranCode`pFortranCodePackage1``1290890
ozeroMatrix`3`n`(Symbol,SegmentBinding(Polynomial(Integer)),SegmentBinding(Polynomial(Integer)))->FortranCode`pFortranCodePackage1``1290990
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``1291114
ozeroOf`1`x`(SparseUnivariatePolynomial(_$))->_$`cAlgebraicallyClosedField``1291345
ozeroOf`1`x`(_$)->_$`cAlgebraicallyClosedFunctionSpace(R)``1291520
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``1291752
ozeroOf`2`x`(_$,Symbol)->_$`cAlgebraicallyClosedFunctionSpace(R)``1291960
ozeroSetSplitIntoTriangularSystems`1`x`(List(P))->List(Record(close:_$,open:List(P)))`cTriangularSetCategory(R,E,V,P)``1292178
ozeroSetSplit`1`x`(List(P))->List(_$)`cTriangularSetCategory(R,E,V,P)``1292497
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(RegularChain(R,ls))`pLexTriangularPackage(R,ls)``1292693
ozeroSetSplit`2`n`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean)->List(SquareFreeRegularTriangularSet(R,IndexedExponents(OrderedVariableList(ls)),OrderedVariableList(ls),NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))))`pLexTriangularPackage(R,ls)``1293033
ozeroSetSplit`2`n`(List(P),Boolean)->List(ST)`pLazardSetSolvingPackage(R,E,V,P,TS,ST)``1293395
ozeroSetSplit`2`x`(List(P),Boolean)->List(_$)`cRegularTriangularSetCategory(R,E,V,P)``1293543
ozeroSetSplit`3`x`(List(NewSparseMultivariatePolynomial(R,OrderedVariableList(ls))),Boolean,Boolean)->List(_$)`dRegularChain(R,ls)``1294060
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1294574
ozeroSetSplit`3`x`(List(P),Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1294898
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dRegularTriangularSet(R,E,V,P)``1295266
ozeroSetSplit`5`x`(List(P),Boolean,Boolean,Boolean,Boolean)->List(_$)`dSquareFreeRegularTriangularSet(R,E,V,P)``1295379
ozeroSquareMatrix`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1295492
ozeroVector`2`n`(Symbol,Polynomial(Integer))->FortranCode`pFortranCodePackage1``1295547
ozero`1`n`(NonNegativeInteger)->S`xVectorCategory&(S,R)``0
ozero`1`x`(NonNegativeInteger)->_$`cVectorCategory(R)`has(R,AbelianMonoid)`1295596
ozero`2`n`(NonNegativeInteger,NonNegativeInteger)->S`xMatrixCategory&(S,R,Row,Col)``0
ozero`2`x`(NonNegativeInteger,NonNegativeInteger)->_$`cMatrixCategory(R,Row,Col)``1295660
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``1295732
ozerosOf`1`x`(SparseUnivariatePolynomial(_$))->List(_$)`cAlgebraicallyClosedField``1296087
ozerosOf`1`x`(_$)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1296386
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``1296725
ozerosOf`2`x`(_$,Symbol)->List(_$)`cAlgebraicallyClosedFunctionSpace(R)``1297078
ozetaMatrix`1`n`(A)->IncidenceAlgebra(Integer,S)`xPoset&(A,S)``0
ozetaMatrix`1`n`(_$)->IncidenceAlgebra(Integer,S)`cPoset(S)``1297435
ozeta`0`n`()->_$`dDirichletRing(Coef)``1297677
ozoom`2`n`(_$,Segment(DoubleFloat))->_$`dPlot``1297743
ozoom`2`x`(_$,Float)->Void`dThreeDimensionalViewport``1297784
ozoom`3`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot``1297945
ozoom`4`n`(_$,Segment(DoubleFloat),Segment(DoubleFloat),Segment(DoubleFloat))->_$`dPlot3D``1297991
ozoom`4`x`(_$,Float,Float,Float)->Void`dThreeDimensionalViewport``1298042
o~=`2`n`(A,A)->Boolean`xFiniteGraph&(A,S)``0
o~=`2`n`(A,A)->Boolean`xPoset&(A,S)``0
o~=`2`n`(S,S)->Boolean`xBasicType&(S)``0
o~=`2`n`(_$,_$)->_$`dOutputForm``1298339
o~=`2`x`(_$,_$)->Boolean`cBasicType``1298395
o~`1`n`(S)->S`xBitAggregate&(S)``0
o~`1`n`(_$)->_$`dDirectedGraph(S)``1298460
o~`1`n`(_$)->_$`dILogic``1298769
o~`1`n`(_$)->_$`dMultifunctionGraph(S)``1299039
o~`1`x`(_$)->_$`cLogic``1299348
o~`1`x`(_$)->_$`dCliffordAlgebra(n,K,bLin)``1299411
o~`1`x`(_$)->_$`dSingleInteger``1299464
pAlgFactor`1`x`(UnivariatePolynomialCategory(AlgebraicNumber))->etc`(UP)`ALGFACT`1299555
pAlgebraPackage`2`x`(R:IntegralDomain,A:FramedNonAssociativeAlgebra(R))->etc`(R,A)`ALGPKG`1299651
pAlgebraicFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`AF`1299735
pAlgebraicHermiteIntegration`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`INTHERAL`1299809
pAlgebraicIntegrate2`3`n`(R0:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc),R:FunctionFieldCategory(F,SparseUnivariatePolynomial(F),SparseUnivariatePolynomial(Fraction(SparseUnivariatePolynomial(F)))))->etc`(R0,F,R)`INTALG2`0
pAlgebraicIntegrate`5`n`(R0:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`INTALG`1299844
pAlgebraicIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTAF`1299933
pAlgebraicManipulations`2`x`(R:IntegralDomain,F:Join(Field,etc))->etc`(R,F)`ALGMANIP`1300047
pAlgebraicMultFact`3`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,P:PolynomialCategory(AlgebraicNumber,E,OV))->etc`(OV,E,P)`ALGMFACT`1300162
pAnyFunctions1`1`x`(Type)->etc`(S)`ANY1`1300373
pApplyRules`3`n`(Base:SetCategory,R:Join(Ring,etc),F:Join(FunctionSpace(R),etc))->etc`(Base,R,F)`APPRULE`1300583
pApplyUnivariateSkewPolynomial`3`n`(R:Ring,M:LeftModule(R),P:UnivariateSkewPolynomialCategory(R))->etc`(R,M,P)`APPLYORE`1300670
pAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`ASSOCEQ`1300798
pAttachPredicates`1`x`(Type)->etc`(D)`PMPRED`1300922
pBalancedFactorisation`2`n`(R:Join(GcdDomain,etc),UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BALFACT`1301009
pBasicOperatorFunctions1`1`x`(SetCategory)->etc`(A)`BOP1`1301078
pBezoutMatrixWrapper`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`BEZOUT2`1301215
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`1301313
pBoundIntegerRoots`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`BOUNDZRO`1301493
pBrillhartTests`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`BRILL`1301607
pCRApackage`1`x`(EuclideanDomain)->etc`(R)`CRAPACK`1302187
pCartanKuranishi`2`n`(JB:JetBundleCategory,D:JetBundleFunctionCategory(JB))->etc`(JB,D)`CKP`1302266
pCartesianTensorFunctions2`4`x`(Integer,dim:NonNegativeInteger,S:CommutativeRing,T:CommutativeRing)->etc`(minix,dim,S,T)`CARTEN2`1302537
pChangeOfVariable`3`n`(F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(F,UP,UPUP)`CHVAR`1302644
pCharacteristicPolynomialInMonogenicalAlgebra`3`n`(R:CommutativeRing,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR))->etc`(R,PolR,E)`CPIMA`1302708
pCharacteristicPolynomialPackage`1`x`(CommutativeRing)->etc`(R)`CHARPOL`1302805
pChineseRemainderToolsForIntegralBases`3`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R))->etc`(K,R,UP)`IBACHIN`1302910
pCoerceVectorMatrixPackage`1`n`(CommutativeRing)->etc`(R)`CVMP`1303324
pCombinatorialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`COMBF`1303413
pCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:FiniteLinearAggregate(Q))->etc`(R,Q,A)`CDEN`1303478
pCommonOperators`0`n`()->etc``COMMONOP`1303642
pCommuteUnivariatePolynomialCategory`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),UPUP:UnivariatePolynomialCategory(UP))->etc`(R,UP,UPUP)`COMMUPC`1303848
pComplexFunctions2`2`x`(CommutativeRing,S:CommutativeRing)->etc`(R,S)`COMPLEX2`1303964
pComplexIntegerSolveLinearPolynomialEquation`2`n`(R:IntegerNumberSystem,CR:ComplexCategory(R))->etc`(R,CR)`CINTSLPE`1304061
pComplexPatternMatch`3`n`(R:SetCategory,S:Join(PatternMatchable(R),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`CPMATCH`1304187
pComplexPattern`3`n`(R:SetCategory,S:Join(ConvertibleTo(Pattern(R)),etc),CS:ComplexCategory(S))->etc`(R,S,CS)`COMPLPAT`1304264
pComplexRootFindingPackage`2`n`(R:Join(Field,etc),UP:UnivariatePolynomialCategory(Complex(R)))->etc`(R,UP)`CRFP`1304336
pComplexRootPackage`2`x`(UnivariatePolynomialCategory(Complex(Integer)),Par:Join(Field,etc))->etc`(UP,Par)`CMPLXRT`1305120
pComplexTrigonometricManipulations`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`CTRIGMNP`1305494
pConstantLODE`3`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`ODECONST`1305628
pConstantLinearDependence`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`CLINDEP`1305716
pCoordinateSystems`1`x`(Join(Field,etc))->etc`(R)`COORDSYS`1306176
pCubicalComplexFactory`0`n`()->etc``CUBECF`1306434
pCycleIndicators`0`x`()->etc``CYCLES`1306605
pCyclicStreamTools`2`n`(S:Type,ST:LazyStreamAggregate(S))->etc`(S,ST)`CSTTOOLS`1306642
pCyclotomicPolynomialPackage`0`n`()->etc``CYCLOTOM`1306710
pCylindricalAlgebraicDecompositionPackage`1`n`(RealClosedField)->etc`(TheField)`CAD`0
pCylindricalAlgebraicDecompositionUtilities`2`n`(R:GcdDomain,P:UnivariatePolynomialCategory(R))->etc`(R,P)`CADU`0
pDefiniteIntegrationTools`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DFINTTLS`1306746
pDegreeReductionPackage`2`n`(Ring,R2:Join(Comparable,etc))->etc`(R1,R2)`DEGRED`1306887
pDeltaComplexFactory`1`n`(AbelianGroup)->etc`(VS)`DELTCF`1306923
pDenominatorIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTDEN`1307061
pDiophantineSolutionPackage`0`x`()->etc``DIOSP`1307173
pDirectProductFunctions2`3`x`(NonNegativeInteger,A:Type,B:Type)->etc`(dim,A,B)`DIRPROD2`1307906
pDiscreteLogarithmPackage`1`n`(Join(Monoid,etc))->etc`(M)`DLP`1308224
pDisplayPackage`0`x`()->etc``DISPLAY`1308344
pDistinctDegreeFactorize`2`x`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F))->etc`(F,FP)`DDFACT`1308449
pDistributionContinuedFractionPackage`2`x`(CommutativeRing,z:Symbol)->etc`(R,z)`DSTCFPG`1308742
pDistributionFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`DISTRO2`1308819
pDistributionPackage`1`x`(CommutativeRing)->etc`(R)`DISTEX`1308882
pDistributionPolynomialPackage`3`x`(R:CommutativeRing,S:Join(CommutativeRing,etc),UPS:UnivariatePolynomialCategory(S))->etc`(R,S,UPS)`DISTPOL`1308920
pDoubleFloatEllipticIntegrals`0`x`()->etc``ELIPIDF`1309047
pDoubleFloatSpecialFunctions2`0`x`()->etc``DFSFUN2`0
pDoubleFloatSpecialFunctions`0`x`()->etc``DFSFUN`1309319
pDoubleResultantPackage`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(F,UP,UPUP,R)`DBLRESP`1309420
pDrawComplex`0`x`()->etc``DRAWCX`1309523
pDrawNumericHack`1`x`(Join(OrderedSet,etc))->etc`(R)`DRAWHACK`1309609
pDrawOptionFunctions0`0`n`()->etc``DROPT0`1310027
pDrawOptionFunctions1`1`n`(Type)->etc`(S)`DROPT1`1310063
pEigenPackage`1`x`(GcdDomain)->etc`(R)`EP`1310099
pElementaryFunctionDefiniteIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`DEFINTEF`1310382
pElementaryFunctionLODESolver`3`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc),L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(R,F,L)`LODEEF`1310512
pElementaryFunctionODESolver`2`x`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEEF`1310692
pElementaryFunctionSign`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`SIGNEF`1310864
pElementaryFunctionStructurePackage`2`x`(R:Join(IntegralDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`EFSTRUC`1310979
pElementaryFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`EF`1311272
pElementaryIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTEF`1311334
pElementaryRischDESystem`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFS`1311497
pElementaryRischDEX2`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX2`1311669
pElementaryRischDEX`2`n`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEEFX`1311737
pEllipticFunctionsUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`ELFUTS`1311850
pEquationFunctions2`2`x`(Type,R:Type)->etc`(S,R)`EQ2`1311948
pErrorFunctions`0`x`()->etc``ERROR`1312024
pEuclideanGroebnerBasisPackage`4`x`(Dom:EuclideanDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBEUCLID`1314007
pEvaluateCycleIndicators`1`n`(Algebra(Fraction(Integer)))->etc`(F)`EVALCYC`1314882
pExport3D`0`n`()->etc``EXP3D`1315055
pExportXml`0`n`()->etc``XML`1315151
pExpressionFactorPolynomial`2`n`(R:Join(GcdDomain,etc),F:FunctionSpace(R))->etc`(R,F)`EFACTOR`0
pExpressionFunctions2`2`x`(Join(Ring,etc),S:Join(Ring,etc))->etc`(R,S)`EXPR2`1315209
pExpressionLinearSolve`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`ELINSOL`1315274
pExpressionSolve`4`n`(R:Join(Comparable,etc),F:FunctionSpace(R),UTSF:UnivariateTaylorSeriesCategory(F),UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(R,F,UTSF,UTSSMPF)`EXPRSOL`0
pExpressionSpaceFunctions1`2`n`(ExpressionSpace,S:Type)->etc`(F,S)`ES1`1315467
pExpressionSpaceFunctions2`2`x`(ExpressionSpace,F:ExpressionSpace)->etc`(E,F)`ES2`1315648
pExpressionSpaceODESolver`2`x`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`EXPRODE`1315942
pExpressionToOpenMath`1`x`(Join(OpenMath,etc))->etc`(R)`OMEXPR`1315999
pExpressionToUnivariatePowerSeries`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`EXPR2UPS`1316123
pExpressionTubePlot`0`n`()->etc``EXPRTUBE`1316213
pFGLMIfCanPackage`2`n`(GcdDomain,List(Symbol))->etc`(R,ls)`FGLMICPK`1316394
pFactoredFunctionUtilities`1`n`(IntegralDomain)->etc`(R)`FRUTIL`1316699
pFactoredFunctions2`2`x`(IntegralDomain,S:IntegralDomain)->etc`(R,S)`FR2`1316812
pFactoredFunctions`1`n`(IntegralDomain)->etc`(M)`FACTFUNC`1317086
pFactoringUtilities`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Ring,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`FACUTIL`1317143
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`1317305
pFiniteAbelianMonoidRingFunctions2`5`n`(E:OrderedAbelianMonoid,R1:Ring,A1:FiniteAbelianMonoidRing(R1,E),R2:Ring,A2:FiniteAbelianMonoidRing(R2,E))->etc`(E,R1,A1,R2,A2)`FAMR2`1317419
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`1317506
pFiniteFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`FFF`1317602
pFiniteFieldHomomorphisms`3`x`(FiniteAlgebraicExtensionField(GF),GF:FiniteFieldCategory,F2:FiniteAlgebraicExtensionField(GF))->etc`(F1,GF,F2)`FFHOM`1317778
pFiniteFieldPolynomialPackage2`2`x`(Join(FieldOfPrimeCharacteristic,etc),GF:FiniteFieldCategory)->etc`(F,GF)`FFPOLY2`1318021
pFiniteFieldPolynomialPackage`1`n`(FiniteFieldCategory)->etc`(GF)`FFPOLY`1318298
pFiniteFieldSolveLinearPolynomialEquation`3`n`(F:FiniteFieldCategory,FP:UnivariatePolynomialCategory(F),FPP:UnivariatePolynomialCategory(FP))->etc`(F,FP,FPP)`FFSLPE`1318465
pFiniteGroupPackage`1`n`(Join(Group,etc))->etc`(G)`FINGPKG`1318566
pFiniteLinearAggregateFunctions2`4`x`(S:Type,A:Join(LinearAggregate(S),etc),R:Type,B:Join(LinearAggregate(R),etc))->etc`(S,A,R,B)`FLAGG2`1318633
pFiniteLinearAggregateSort`2`x`(S:Type,V:Join(FiniteLinearAggregate(S),etc))->etc`(S,V)`FLASORT`1318945
pFiniteSetAggregateFunctions2`4`x`(S:SetCategory,A:FiniteSetAggregate(S),R:SetCategory,B:FiniteSetAggregate(R))->etc`(S,A,R,B)`FSAGG2`1319034
pFloatEllipticFunctions`0`x`()->etc``FELFUN`1319338
pFloatLiouvilianFunctions`0`x`()->etc``FLIOUFUN`0
pFloatSpecialFunctions`0`x`()->etc``FSFUN`0
pFloatingComplexPackage`1`x`(Join(Field,etc))->etc`(Par)`FLOATCP`1319471
pFloatingRealPackage`1`x`(Join(OrderedRing,etc))->etc`(Par)`FLOATRP`1319830
pFortranCodePackage1`0`n`()->etc``FCPAK1`1320150
pFortranCodeTools`0`n`()->etc``FCTOOL`0
pFortranOutputStackPackage`0`n`()->etc``FOP`1320774
pFortranPackage`0`n`()->etc``FORT`1320821
pFractionFreeFastGaussianFractions`3`n`(D:Join(IntegralDomain,etc),V:FiniteAbelianMonoidRing(D,NonNegativeInteger),VF:FiniteAbelianMonoidRing(Fraction(D),NonNegativeInteger))->etc`(D,V,VF)`FFFGF`1320887
pFractionFreeFastGaussian`2`n`(D:Join(IntegralDomain,etc),V:AbelianMonoidRing(D,NonNegativeInteger))->etc`(D,V)`FFFG`1320996
pFractionFunctions2`2`x`(IntegralDomain,B:IntegralDomain)->etc`(A,B)`FRAC2`1321244
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`1321405
pFramedNonAssociativeAlgebraFunctions2`4`x`(FramedNonAssociativeAlgebra(R),R:CommutativeRing,AS:FramedNonAssociativeAlgebra(S),S:CommutativeRing)->etc`(AR,R,AS,S)`FRNAAF2`1321557
pFreeModuleCoefficientFunctions2`5`x`(R1:Join(SemiRng,etc),R2:Join(SemiRng,etc),S:Comparable,M1:FreeModuleCategory(R1,S),M2:FreeModuleCategory(R2,S))->etc`(R1,R2,S,M1,M2)`FMCF2`1321824
pFreeModuleFunctions2`4`x`(R:CommutativeRing,S:Comparable,M1:FreeModuleCategory(R,S),M2:Module(R))->etc`(R,S,M1,M2)`FM2`1321915
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`1321961
pFunctionFieldIntegralBasis`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`FFINTBAS`1322021
pFunctionSpaceAssertions`2`x`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`PMASSFS`1322424
pFunctionSpaceAttachPredicates`3`x`(R:Comparable,F:FunctionSpace(R),D:Type)->etc`(R,F,D)`PMPREDFS`1322511
pFunctionSpaceComplexIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSCINT`1322598
pFunctionSpaceFunctions2`4`x`(R:Join(Ring,etc),A:FunctionSpace(R),S:Join(Ring,etc),B:FunctionSpace(S))->etc`(R,A,S,B)`FS2`1322727
pFunctionSpaceIntegration`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`FSINT`1322889
pFunctionSpacePrimitiveElement`2`x`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSPRMELT`1323008
pFunctionSpaceRationalRoots`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`FSRROOT`0
pFunctionSpaceReduce`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSRED`1323116
pFunctionSpaceSum`2`x`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`SUMFS`1323326
pFunctionSpaceToExponentialExpansion`4`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),x:Symbol,cen:FE)->etc`(R,FE,x,cen)`FS2EXPXP`1323373
pFunctionSpaceToUnivariatePowerSeries2`9`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),(Expon)->FE,Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,coerce_Ex,x)`FS2UPS2`1323464
pFunctionSpaceToUnivariatePowerSeries`8`n`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc),Expon:Join(OrderedAbelianMonoid,etc),UPS:Join(UnivariatePowerSeriesCategory(FE,Expon),etc),PartialTranscendentalFunctions(UPS),UTS:UnivariateTaylorSeriesCategory(FE),TaylorSeriesExpansion(FE,Expon,SingletonAsOrderedSet,UPS,UTS),Symbol)->etc`(R,FE,Expon,UPS,TRAN,UTS,TEXP,x)`FS2UPS`1323889
pFunctionalSpecialFunction`2`n`(R:Join(Comparable,etc),F:FunctionSpace(R))->etc`(R,F)`FSPECF`1324314
pGaloisGroupFactorizationUtilities`3`n`(R:Ring,UP:UnivariatePolynomialCategory(R),F:Join(FloatingPointSystem,etc))->etc`(R,UP,F)`GALFACTU`1324378
pGaloisGroupFactorizer`1`n`(UnivariatePolynomialCategory(Integer))->etc`(UP)`GALFACT`1324486
pGaloisGroupPolynomialUtilities`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`GALPOLYU`1324567
pGaloisGroupUtilities`1`n`(Ring)->etc`(R)`GALUTIL`1324773
pGaussianFactorizationPackage`0`x`()->etc``GAUSSFAC`1324847
pGcdBasis`1`n`(Join(GcdDomain,etc))->etc`(R)`GCDBAS`1324917
pGenExEuclid`2`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R))->etc`(R,BP)`GENEEZ`1325062
pGeneralHenselPackage`2`n`(RP:EuclideanDomain,TP:UnivariatePolynomialCategory(RP))->etc`(RP,TP)`GHENSEL`1325642
pGeneralPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:PolynomialFactorizationExplicit,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`GENPGCD`1325780
pGeneralizedMultivariateFactorize`5`n`(OV:Join(OrderedSet,etc),E:OrderedAbelianMonoidSup,IntegralDomain,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(OV,E,S,R,P)`GENMFACT`1325863
pGenerateUnivariatePowerSeries`2`x`(R:Join(IntegralDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`GENUPS`1326026
pGenusZeroIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTG0`1326175
pGnuDraw`0`x`()->etc``GDRAW`1326549
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`1326814
pGraphicsDefaults`0`x`()->etc``GRDEF`1326858
pGrayCode`0`n`()->etc``GRAY`1326952
pGroebnerFactorizationPackage`4`x`(Dom:Join(EuclideanDomain,etc),Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBF`1327093
pGroebnerInternalPackage`4`n`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GBINTERN`1328148
pGroebnerPackage`4`x`(Dom:GcdDomain,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:PolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`GB`1328269
pGroebnerSolve`3`n`(List(Symbol),F:GcdDomain,GcdDomain)->etc`(lv,F,R)`GROEBSOL`1329324
pGuessAlgebraicNumber`0`n`()->etc``GUESSAN`1329602
pGuessExpBin`5`n`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESSEB`1329674
pGuessFiniteFunctions`1`n`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF1`1329773
pGuessFinite`1`x`(Join(FiniteFieldCategory,etc))->etc`(F)`GUESSF`1329856
pGuessInteger`0`x`()->etc``GUESSINT`1329935
pGuessPolynomialFunctions`1`n`(Ring)->etc`(R)`GUESSP1`1330005
pGuessPolynomialInteger`0`x`()->etc``GUESSPI`1330086
pGuessPolynomial`1`x`(Ring)->etc`(R)`GUESSP`1330176
pGuess`5`x`(F:Field,S:GcdDomain,EXPRR:Join(FunctionSpace(Integer),etc),(EXPRR)->F,(F)->EXPRR)->etc`(F,S,EXPRR,retract,coerce)`GUESS`1330248
pHallBasis`0`x`()->etc``HB`1330415
pHankelPackage`1`n`(Ring)->etc`(R)`HANKP`1330956
pHeuGcd`1`n`(UnivariatePolynomialCategory(Integer))->etc`(BP)`HEUGCD`1331000
pIdealDecompositionPackage`1`x`(List(Symbol))->etc`(vl)`IDECOMP`1331163
pIncrementingMaps`1`n`(Join(Monoid,etc))->etc`(R)`INCRMAPS`1331472
pInfiniteLambertProduct`2`x`(Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`INFPROD0`1331546
pInfiniteTupleFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ITFUN2`1331621
pInfiniteTupleFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`ITFUN3`1331683
pInfinity`0`x`()->etc``INFINITY`1331745
pInnerAlgFactor`4`n`(F:Field,UP:UnivariatePolynomialCategory(F),AlExt:Join(Field,etc),AlPol:UnivariatePolynomialCategory(AlExt))->etc`(F,UP,AlExt,AlPol)`IALGFACT`1331826
pInnerCommonDenominator`4`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),A:Join(LinearAggregate(R),etc),B:Join(LinearAggregate(Q),etc))->etc`(R,Q,A,B)`ICDEN`1331966
pInnerEigenPackage`1`n`(Field)->etc`(F)`IEP`1332135
pInnerMatrixLinearAlgebraFunctions`4`n`(R:Field,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`IMATLIN`1332445
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`1332605
pInnerModularGcd`4`n`(R:EuclideanDomain,BP:UnivariatePolynomialCategory(R),R,(R,NonNegativeInteger)->R)->etc`(R,BP,pMod,nextMod)`INMODGCD`1332869
pInnerModularHermitePade`0`n`()->etc``IMODHP`1333187
pInnerMultFact`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`INNMFACT`1333569
pInnerNormalBasisFieldFunctions`1`n`(FiniteFieldCategory)->etc`(GF)`INBFF`1333839
pInnerNumericEigenPackage`3`n`(Field,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INEP`1333986
pInnerNumericFloatSolvePackage`3`n`(GcdDomain,F:Field,Par:Join(Field,etc))->etc`(K,F,Par)`INFSP`1334157
pInnerPolySign`2`n`(R:Ring,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`INPSIGN`1334757
pInnerPolySum`4`n`(E:OrderedAbelianMonoidSup,V:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,V))->etc`(E,V,R,P)`ISUMP`1334822
pInnerTrigonometricManipulations`3`n`(R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc),FG:Join(FunctionSpace(Complex(R)),etc))->etc`(R,F,FG)`ITRIGMNP`1334863
pInputFormFunctions1`1`n`(Type)->etc`(R)`INFORM1`1335047
pIntegerBits`0`n`()->etc``INTBIT`1335090
pIntegerCombinatoricFunctions`1`x`(IntegerNumberSystem)->etc`(I)`COMBINAT`1335156
pIntegerFactorizationPackage`1`n`(IntegerNumberSystem)->etc`(I)`INTFACT`1335266
pIntegerLinearDependence`1`x`(LinearlyExplicitOver(Integer))->etc`(R)`ZLINDEP`1335646
pIntegerNumberTheoryFunctions`0`x`()->etc``INTHEORY`1335699
pIntegerPrimesPackage`1`x`(IntegerNumberSystem)->etc`(I)`PRIMES`1335780
pIntegerRetractions`1`x`(RetractableTo(Integer))->etc`(S)`INTRET`1335987
pIntegerRoots`1`x`(IntegerNumberSystem)->etc`(I)`IROOT`1336070
pIntegerSmithNormalForm`0`n`()->etc``ISMITH`0
pIntegerSolveLinearPolynomialEquation`0`n`()->etc``INTSLPE`1336195
pIntegralBasisPolynomialTools`4`n`(K:Ring,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),L:Ring)->etc`(K,R,UP,L)`IBPTOOLS`1336377
pIntegralBasisTools`3`n`(R:Join(EuclideanDomain,etc),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(R,UP,F)`IBATOOL`1336543
pIntegrateSolutions`2`n`(F:Join(Field,etc),L:Join(UnivariateSkewPolynomialCategory(F),etc))->etc`(F,L)`INTDSOL`1336660
pIntegrationResultFunctions2`2`x`(Field,F:Field)->etc`(E,F)`IR2`1336789
pIntegrationResultRFToFunction`1`x`(Join(GcdDomain,etc))->etc`(R)`IRRF2F`1336921
pIntegrationResultToFunction`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`IR2F`1337194
pIntegrationTools`2`n`(R:Comparable,F:FunctionSpace(R))->etc`(R,F)`INTTOOLS`1337396
pInternalPrintPackage`0`n`()->etc``IPRNTPK`1337544
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`1337617
pInverseLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`INVLAPLA`1338166
pIrrRepSymNatPackage`0`x`()->etc``IRSN`1338226
pIrredPolyOverFiniteField`1`n`(FiniteFieldCategory)->etc`(GF)`IRREDFFX`1338809
pJetCoordinateTransformation`4`n`(JetBundleCategory,JB2:JetBundleCategory,Vector(JetBundleExpression(JB2)),Vector(JetBundleExpression(JB2)))->etc`(JB1,JB2,Y,W)`JCT`1338953
pJetGroebner`5`n`(R:GcdDomain,JB:JetBundleCategory,LJV:List(JB),P:Join(JetBundleFunctionCategory(JB),etc),DirectProductCategory(#(LJV),NonNegativeInteger))->etc`(R,JB,LJV,P,E)`JGB`1339332
pKernelFunctions2`2`x`(Comparable,S:Comparable)->etc`(R,S)`KERNEL2`1339736
pKovacic`2`n`(F:Join(CharacteristicZero,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`KOVACIC`1339800
pLODOConvertions`3`n`(Coeff:Ring,Ab:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,Ab,R)`LODOCONV`1339959
pLUDecomposition`1`n`(Field)->etc`(D)`LUD`1340159
pLaplaceTransform`2`x`(R:Join(EuclideanDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`LAPLACE`1340299
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`1340359
pLeadingCoefDetermination`4`n`(OV:OrderedSet,E:OrderedAbelianMonoidSup,Z:EuclideanDomain,P:PolynomialCategory(Z,E,OV))->etc`(OV,E,Z,P)`LEADCDET`1340901
pLexTriangularPackage`2`n`(GcdDomain,ls:List(Symbol))->etc`(R,ls)`LEXTRIPK`1341284
pLinGroebnerPackage`2`n`(List(Symbol),F:GcdDomain)->etc`(lv,F)`LGROBP`1342147
pLinearCombinationUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LINCOMB`0
pLinearDependence`2`n`(S:IntegralDomain,R:LinearlyExplicitOver(S))->etc`(S,R)`LINDEP`1342475
pLinearOrdinaryDifferentialOperator3Aux`3`n`(Coeff:Ring,A:AbelianMonoidRing(Coeff,NonNegativeInteger),R:Join(DifferentialRing,etc))->etc`(Coeff,A,R)`LODO3AUX`1342510
pLinearOrdinaryDifferentialOperatorFactorizer2`2`n`(Symbol,cen:Expression(Integer))->etc`(var,cen)`LODOF2`1342683
pLinearOrdinaryDifferentialOperatorFactorizer`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`LODOF`1342855
pLinearOrdinaryDifferentialOperatorsOps`2`n`(A:Field,L:LinearOrdinaryDifferentialOperatorCategory(A))->etc`(A,L)`LODOOPS`1343026
pLinearPolynomialEquationByFractions`1`n`(PolynomialFactorizationExplicit)->etc`(R)`LPEFRAC`1343160
pLinearSystemMatrixPackage1`1`x`(Field)->etc`(F)`LSMP1`1343416
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`1343709
pLinearSystemPolynomialPackage`4`x`(R:IntegralDomain,E:OrderedAbelianMonoidSup,OV:OrderedSet,P:PolynomialCategory(R,E,OV))->etc`(R,E,OV,P)`LSPP`1343784
pLiouvillianFunction`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`LF`1343878
pListFunctions2`2`x`(Type,B:Type)->etc`(A,B)`LIST2`1343954
pListFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`LIST3`1344102
pListPackage`1`n`(BasicType)->etc`(T)`LISTPKG`1344252
pListToMap`2`x`(SetCategory,B:Type)->etc`(A,B)`LIST2MAP`1344275
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`1344692
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`1344780
pMPolyCatPolyFactorizer`4`n`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:EuclideanDomain,PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(E,OV,R,PPR)`MPCPF`1344814
pMPolyCatRationalFunctionFactorizer`4`x`(E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),R:IntegralDomain,PRF:PolynomialCategory(Fraction(Polynomial(R)),E,OV))->etc`(E,OV,R,PRF)`MPRFF`1345199
pMRationalFactorize`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:Join(EuclideanDomain,etc),P:PolynomialCategory(Fraction(R),E,OV))->etc`(E,OV,R,P)`MRATFAC`1345590
pMakeBinaryCompiledFunction`4`n`(ConvertibleTo(InputForm),D1:Type,D2:Type,I:Type)->etc`(S,D1,D2,I)`MKBCFUNC`1345826
pMakeFloatCompiledFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFLCFN`1345887
pMakeFunction`1`x`(ConvertibleTo(InputForm))->etc`(S)`MKFUNC`1346115
pMakeRecord`2`x`(Type,T:Type)->etc`(S,T)`MKRECORD`1346179
pMakeUnaryCompiledFunction`3`n`(ConvertibleTo(InputForm),D:Type,I:Type)->etc`(S,D,I)`MKUCFUNC`1346315
pMappingPackage1`1`x`(SetCategory)->etc`(A)`MAPPKG1`1346376
pMappingPackage2`2`x`(SetCategory,C:SetCategory)->etc`(A,C)`MAPPKG2`1346412
pMappingPackage3`3`x`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPPKG3`1346448
pMappingPackageInternalHacks1`1`n`(SetCategory)->etc`(A)`MAPHACK1`1346484
pMappingPackageInternalHacks2`2`n`(SetCategory,C:SetCategory)->etc`(A,C)`MAPHACK2`1346520
pMappingPackageInternalHacks3`3`n`(SetCategory,B:SetCategory,C:SetCategory)->etc`(A,B,C)`MAPHACK3`1346556
pMatrixCategoryFunctions2`8`x`(R1:Join(SemiRng,etc),Row1:FiniteLinearAggregate(R1),Col1:FiniteLinearAggregate(R1),M1:MatrixCategory(R1,Row1,Col1),R2:Join(SemiRng,etc),Row2:FiniteLinearAggregate(R2),Col2:FiniteLinearAggregate(R2),M2:MatrixCategory(R2,Row2,Col2))->etc`(R1,Row1,Col1,M1,R2,Row2,Col2,M2)`MATCAT2`1346592
pMatrixCommonDenominator`2`x`(R:IntegralDomain,Q:QuotientFieldCategory(R))->etc`(R,Q)`MCDEN`1346745
pMatrixLinearAlgebraFunctions`4`x`(R:CommutativeRing,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`MATLIN`1346898
pMatrixManipulation`4`n`(R:Type,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:TwoDimensionalArrayCategory(R,Row,Col))->etc`(R,Row,Col,M)`MAMA`1347005
pMergeThing`1`x`(OrderedSet)->etc`(S)`MTHING`1347225
pMeshCreationRoutinesForThreeDimensions`0`n`()->etc``MESH`1347277
pModularAlgebraicGcd2`6`n`(PT:Type,MP:Type,MPT:Type,MD:Type,ModularEvaluationCategory(PT,MP),ModularAlgebraicGcdOperations(MP,MPT,MD))->etc`(PT,MP,MPT,MD,ME,MO)`MAGCD2`1347346
pModularAlgebraicGcd`3`n`(MPT:Type,MD:Type,ModularAlgebraicGcdOperations(Polynomial(Integer),MPT,MD))->etc`(MPT,MD,MO)`MAGCD`1347722
pModularDistinctDegreeFactorizer`1`x`(UnivariatePolynomialCategory(Integer))->etc`(U)`MDDFACT`1347857
pModularFactorization`0`n`()->etc``MODFACT`1348087
pModularHermitePadeSolver`2`n`(CommutativeRing,S:CommutativeRing)->etc`(F,S)`MODHPS`1348205
pModularHermitePade`0`n`()->etc``MODHP`1348298
pModularHermitianRowReduction`1`n`(EuclideanDomain)->etc`(R)`MHROWRED`1348587
pMomentPackage`1`n`(CommutativeRing)->etc`(R)`MOMPKG`1348728
pMonoidRingFunctions2`3`x`(Ring,S:Ring,M:Monoid)->etc`(R,S,M)`MRF2`1348833
pMonomialExtensionTools`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`MONOTOOL`1348965
pMoreSystemCommands`0`x`()->etc``MSYSCMD`1349012
pMrvLimitPackage`0`n`()->etc``MRVLIM`1349279
pMultFiniteFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,F:FiniteFieldCategory,PG:PolynomialCategory(F,E,OV))->etc`(OV,E,F,PG)`MFINFACT`1349342
pMultiVariableCalculusFunctions`4`n`(S:SetCategory,F:PartialDifferentialRing(S),FLAF:FiniteLinearAggregate(F),FLAS:FiniteLinearAggregate(S))->etc`(S,F,FLAF,FLAS)`MCALCFN`1349423
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`1349709
pMultiplicativeDependence`0`n`()->etc``MULDEP`0
pMultivariateFactorize`4`x`(OV:OrderedSet,E:OrderedAbelianMonoidSup,R:Join(EuclideanDomain,etc),P:PolynomialCategory(R,E,OV))->etc`(OV,E,R,P)`MULTFACT`1349766
pMultivariateLifting`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MLIFT`1349929
pMultivariateSquareFree`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`MULTSQFR`1350195
pNGroebnerPackage`4`n`(Dom:LeftOreRing,Expon:OrderedAbelianMonoidSup,VarSet:OrderedSet,Dpol:SolvableSkewPolynomialCategory(Dom,Expon,VarSet))->etc`(Dom,Expon,VarSet,Dpol)`NGROEB`1350588
pNPCoef`5`n`(UnivariatePolynomialCategory(R),E:OrderedAbelianMonoidSup,OV:OrderedSet,R:IntegralDomain,P:PolynomialCategory(R,E,OV))->etc`(BP,E,OV,R,P)`NPCOEF`1350865
pNaiveBeckermannLabahnModular`0`n`()->etc``NBLM`1351141
pNewSparseUnivariatePolynomialFunctions2`2`n`(Ring,S:Ring)->etc`(R,S)`NSUP2`1351456
pNewtonInterpolation`1`n`(IntegralDomain)->etc`(F)`NEWTON`1351781
pNonLinearFirstOrderODESolver`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`NODE1`1351915
pNonLinearSolvePackage`1`n`(IntegralDomain)->etc`(R)`NLINSOL`1352068
pNoneFunctions1`1`x`(Type)->etc`(S)`NONE1`1352301
pNormInMonogenicAlgebra`4`x`(R:GcdDomain,PolR:UnivariatePolynomialCategory(R),E:MonogenicAlgebra(R,PolR),PolE:UnivariatePolynomialCategory(E))->etc`(R,PolR,E,PolE)`NORMMA`1352461
pNormRetractPackage`5`n`(F:FiniteFieldCategory,ExtF:FiniteAlgebraicExtensionField(F),SUEx:UnivariatePolynomialCategory(ExtF),ExtP:UnivariatePolynomialCategory(SUEx),PositiveInteger)->etc`(F,ExtF,SUEx,ExtP,n)`NORMRETR`1352577
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`1352611
pNumberFieldIntegralBasis`2`n`(UP:UnivariatePolynomialCategory(Integer),FramedAlgebra(Integer,UP))->etc`(UP,F)`NFINTBAS`1352759
pNumberFormats`0`n`()->etc``NUMFMT`1352997
pNumberTheoreticPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`NTPOLFN`1353149
pNumericComplexEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NCEP`1353214
pNumericContinuedFraction`1`x`(FloatingPointSystem)->etc`(F)`NCNTFRAC`1353485
pNumericRealEigenPackage`1`x`(Join(Field,etc))->etc`(Par)`NREP`1353623
pNumericTubePlot`1`n`(PlottableSpaceCurveCategory)->etc`(Curve)`NUMTUBE`1353857
pNumeric`1`x`(ConvertibleTo(Float))->etc`(S)`NUMERIC`1354038
pNumericalOrdinaryDifferentialEquations`0`x`()->etc``NUMODE`1354138
pNumericalQuadrature`0`x`()->etc``NUMQUAD`1358935
pODEIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedFunctionSpace(R),etc))->etc`(R,F)`ODEINT`1362360
pODETools`2`n`(F:Field,LODO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LODO)`ODETOOLS`1362526
pOctonionCategoryFunctions2`4`x`(OctonionCategory(R),R:CommutativeRing,OS:OctonionCategory(S),S:CommutativeRing)->etc`(OR,R,OS,S)`OCTCT2`1362591
pOneDimensionalArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`ARRAY12`1362771
pOnePointCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ONECOMP2`1362929
pOpenMathPackage`0`x`()->etc``OMPKG`1363003
pOpenMathServerPackage`0`x`()->etc``OMSERVER`1363109
pOperationsQuery`0`x`()->etc``OPQUERY`1363477
pOrderedCompletionFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`ORDCOMP2`1363559
pOrderingFunctions`2`n`(NonNegativeInteger,S:OrderedAbelianMonoid)->etc`(dim,S)`ORDFUNS`1363631
pOrePolynomialMatrixOperations`2`n`(F:Field,LO:UnivariateSkewPolynomialCategory(F))->etc`(F,LO)`OREMAT`0
pOrthogonalPolynomialFunctions`1`x`(CommutativeRing)->etc`(R)`ORTHPOL`1363760
pOutputFormTools`0`n`()->etc``OFTOOL`0
pOutputPackage`0`x`()->etc``OUT`1363836
pPAdicWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),MonogenicAlgebra(R,UP))->etc`(K,R,UP,F)`PWFFINTB`1363892
pPadeApproximantPackage`3`x`(R:Field,x:Symbol,pt:R)->etc`(R,x,pt)`PADEPAC`1364444
pPadeApproximants`3`n`(R:Field,PS:UnivariateTaylorSeriesCategory(R),UP:UnivariatePolynomialCategory(R))->etc`(R,PS,UP)`PADE`1364778
pParadoxicalCombinatorsForStreams`1`n`(Type)->etc`(A)`YSTREAM`1365102
pParallelIntegrationTools`3`n`(R:Field,V:OrderedSet,P:PolynomialCategory(R,IndexedExponents(V),V))->etc`(R,V,P)`PIT`0
pParametricIntegration`2`n`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPAR2`0
pParametricLinearEquations`4`n`(R:Join(EuclideanDomain,etc),Var:Join(OrderedSet,etc),Expon:OrderedAbelianMonoidSup,GR:PolynomialCategory(R,Expon,Var))->etc`(R,Var,Expon,GR)`PLEQN`1365170
pParametricPlaneCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARPC2`1366263
pParametricRischDE`2`n`(R:Join(GcdDomain,etc),F:Join(TranscendentalFunctionCategory,etc))->etc`(R,F)`RDEPAR`0
pParametricSpaceCurveFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSC2`1366297
pParametricSurfaceFunctions2`2`x`(Type,CF2:Type)->etc`(CF1,CF2)`PARSU2`1366331
pParametricTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTPAR1`0
pPartialDifferentialOperatorHelper`2`n`(PartialDifferentialRing(Var),Var:OrderedSet)->etc`(R,Var)`PDOHLP`0
pPartialFractionPackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`PFRPAC`1366365
pPartialFractionUtilities`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PFUTIL`0
pPartitionsAndPermutations`0`x`()->etc``PARTPERM`1366635
pPathArrayPackage`1`n`(Ring)->etc`(R)`PARRPKG`1366799
pPatternFunctions1`2`n`(SetCategory,D:Type)->etc`(R,D)`PATTERN1`1366856
pPatternFunctions2`2`x`(SetCategory,S:SetCategory)->etc`(R,S)`PATTERN2`1366883
pPatternMatchAssertions`0`x`()->etc``PMASS`1366914
pPatternMatchFunctionSpace`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),F:Join(FunctionSpace(R),etc))->etc`(S,R,F)`PMFS`1367001
pPatternMatchIntegerNumberSystem`1`n`(IntegerNumberSystem)->etc`(I)`PMINS`1367077
pPatternMatchIntegration`2`n`(R:Join(Comparable,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`INTPM`1367146
pPatternMatchKernel`2`n`(S:SetCategory,E:Join(Comparable,etc))->etc`(S,E)`PMKERNEL`1367340
pPatternMatchListAggregate`3`n`(S:SetCategory,R:PatternMatchable(S),L:ListAggregate(R))->etc`(S,R,L)`PMLSAGG`1367408
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`1367474
pPatternMatchPushDown`3`n`(S:SetCategory,A:PatternMatchable(S),B:Join(SetCategory,etc))->etc`(S,A,B)`PMDOWN`1367546
pPatternMatchQuotientFieldCategory`3`n`(S:SetCategory,R:Join(IntegralDomain,etc),Q:QuotientFieldCategory(R))->etc`(S,R,Q)`PMQFCAT`1367623
pPatternMatchResultFunctions2`3`x`(SetCategory,A:SetCategory,B:SetCategory)->etc`(R,A,B)`PATRES2`1367693
pPatternMatchSymbol`1`n`(SetCategory)->etc`(S)`PMSYM`1367740
pPatternMatchTools`3`n`(S:SetCategory,R:Join(Comparable,etc),P:Join(Ring,etc))->etc`(S,R,P)`PMTOOLS`1367808
pPatternMatch`3`x`(Base:SetCategory,Subject:PatternMatchable(Base),Pat:ConvertibleTo(Pattern(Base)))->etc`(Base,Subject,Pat)`PATMATCH`1367868
pPermanent`2`x`(PositiveInteger,R:Join(Ring,etc))->etc`(n,R)`PERMAN`1367939
pPermutationGroupExamples`0`x`()->etc``PGE`1368035
pPiCoercions`1`x`(Join(Comparable,etc))->etc`(R)`PICOERCE`1368440
pPlotFunctions1`1`n`(ConvertibleTo(InputForm))->etc`(S)`PLOT1`1368600
pPlotTools`0`n`()->etc``PLOTTOOL`1368753
pPointFunctions2`2`x`(Ring,R2:Ring)->etc`(R1,R2)`PTFUNC2`1368796
pPointPackage`1`n`(Ring)->etc`(R)`PTPACK`1368830
pPointsOfFiniteOrderRational`3`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(Fraction(Integer),UP,UPUP))->etc`(UP,UPUP,R)`PFOQ`1368864
pPointsOfFiniteOrderTools`2`n`(UP:UnivariatePolynomialCategory(Fraction(Integer)),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(UP,UPUP)`PFOTOOLS`1368965
pPointsOfFiniteOrder`5`n`(R0:Join(Comparable,etc),F:FunctionSpace(R0),UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)),R:FunctionFieldCategory(F,UP,UPUP))->etc`(R0,F,UP,UPUP,R)`PFO`1369064
pPolToPol`2`n`(List(Symbol),R:Ring)->etc`(lv,R)`POLTOPOL`1369165
pPolyGroebner`1`x`(GcdDomain)->etc`(F)`PGROEB`1369246
pPolynomialAN2Expression`0`x`()->etc``PAN2EXPR`1369966
pPolynomialCategoryLifting`5`n`(E:OrderedAbelianMonoidSup,Vars:OrderedSet,R:Join(SemiRng,etc),P:PolynomialCategory(R,E,Vars),S:Join(SetCategory,etc))->etc`(E,Vars,R,P,S)`POLYLIFT`1370086
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`1370382
pPolynomialCommonDenominator`5`n`(R:IntegralDomain,Q:QuotientFieldCategory(R),E:OrderedAbelianMonoidSup,VarSet:OrderedSet,P:PolynomialCategory(Q,E,VarSet))->etc`(R,Q,E,VarSet,P)`PCDEN`1370505
pPolynomialEvaluationUtilities`0`n`()->etc``PEVALUT`1370691
pPolynomialFactorizationByRecursion`4`n`(R:PolynomialFactorizationExplicit,E:OrderedAbelianMonoidSup,VarSet:OrderedSet,S:PolynomialCategory(R,E,VarSet))->etc`(R,E,VarSet,S)`PFBR`1371228
pPolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`POLY2`1371446
pPolynomialGcdPackage`4`n`(E:OrderedAbelianMonoidSup,OV:OrderedSet,R:EuclideanDomain,P:PolynomialCategory(R,E,OV))->etc`(E,OV,R,P)`PGCD`1371589
pPolynomialInterpolationAlgorithms`2`n`(F:Field,P:UnivariatePolynomialCategory(F))->etc`(F,P)`PINTERPA`1371915
pPolynomialInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`PINTERP`1371968
pPolynomialNumberTheoryFunctions`0`n`()->etc``PNTHEORY`1372021
pPolynomialRationalRoots`2`n`(F:Join(IntegralDomain,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`PRROOT`0
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`1372115
pPolynomialSetUtilitiesPackage`4`n`(R:IntegralDomain,E:OrderedAbelianMonoidSup,V:OrderedSet,P:RecursivePolynomialCategory(R,E,V))->etc`(R,E,V,P)`PSETPK`1372190
pPolynomialSolveByFormulas`2`n`(UnivariatePolynomialCategory(F),F:Join(Field,etc))->etc`(UP,F)`SOLVEFOR`1372479
pPolynomialSquareFree`4`n`(VarSet:OrderedSet,E:OrderedAbelianMonoidSup,RC:GcdDomain,P:PolynomialCategory(RC,E,VarSet))->etc`(VarSet,E,RC,P)`PSQFR`1372718
pPolynomialToUnivariatePolynomial`2`x`(Symbol,R:Ring)->etc`(x,R)`POLY2UP`1373149
pPosetFactory`1`n`(SetCategory)->etc`(S)`POSETF`1373381
pPowerSeriesLimitPackage`2`x`(R:Join(GcdDomain,etc),FE:Join(AlgebraicallyClosedField,etc))->etc`(R,FE)`LIMITPS`1373597
pPrecomputedAssociatedEquations`2`n`(R:IntegralDomain,L:LinearOrdinaryDifferentialOperatorCategory(R))->etc`(R,L)`PREASSOC`1373842
pPrimGCD`0`n`()->etc``PRIGCD3`1374019
pPrimitiveArrayFunctions2`2`x`(Type,B:Type)->etc`(A,B)`PRIMARR2`1374291
pPrimitiveElement`1`n`(Join(Field,etc))->etc`(F)`PRIMELT`1374443
pPrimitiveRatDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LQ:LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRIM`1374541
pPrimitiveRatRicDE`4`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),LinearOrdinaryDifferentialOperatorCategory(Fraction(UP)))->etc`(F,UP,L,LQ)`ODEPRRIC`1374771
pPrintPackage`0`x`()->etc``PRINT`1374836
pPseudoLinearNormalForm`1`n`(Field)->etc`(K)`PSEUDLIN`1374900
pPseudoRemainderSequence`2`n`(R:IntegralDomain,polR:UnivariatePolynomialCategory(R))->etc`(R,polR)`PRS`1375016
pPureAlgebraicIntegration`3`n`(R:Join(GcdDomain,etc),F:Join(FunctionSpace(R),etc),L:SetCategory)->etc`(R,F,L)`INTPAF`1376045
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`1376214
pPushVariables`4`n`(R:Ring,E:OrderedAbelianMonoidSup,OV:Join(OrderedSet,etc),PPR:PolynomialCategory(Polynomial(R),E,OV))->etc`(R,E,OV,PPR)`PUSHVAR`1376307
pQuasiAlgebraicSet2`1`n`(List(Symbol))->etc`(vl)`QALGSET2`1376344
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`1377601
pQuaternionCategoryFunctions2`4`x`(QuaternionCategory(R),R:CommutativeRing,QS:QuaternionCategory(S),S:CommutativeRing)->etc`(QR,R,QS,S)`QUATCT2`1377775
pQuotientFieldCategoryFunctions2`4`x`(A:IntegralDomain,B:IntegralDomain,R:QuotientFieldCategory(A),S:QuotientFieldCategory(B))->etc`(A,B,R,S)`QFCAT2`1377973
pRDEaux`1`n`(Field)->etc`(F)`RDEAUX`0
pRadicalEigenPackage`0`x`()->etc``REP`1378082
pRadicalSolvePackage`1`x`(Join(EuclideanDomain,etc))->etc`(R)`SOLVERAD`1378364
pRadixUtilities`0`x`()->etc``RADUTIL`1378537
pRandomDistributions`1`n`(SetCategory)->etc`(S)`RDIST`1378604
pRandomFloatDistributions`0`n`()->etc``RFDIST`1378654
pRandomIntegerDistributions`0`n`()->etc``RIDIST`1378719
pRandomNumberSource`0`x`()->etc``RANDSRC`1378770
pRationalFactorize`1`n`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(RP)`RATFACT`1378962
pRationalFunctionDefiniteIntegration`1`x`(Join(EuclideanDomain,etc))->etc`(R)`DEFINTRF`1379554
pRationalFunctionFactor`1`x`(UnivariatePolynomialCategory(Fraction(Polynomial(Integer))))->etc`(UP)`RFFACT`1379681
pRationalFunctionFactorizer`1`x`(EuclideanDomain)->etc`(R)`RFFACTOR`1379803
pRationalFunctionIntegration`1`x`(Join(IntegralDomain,etc))->etc`(F)`INTRF`1380090
pRationalFunctionLimitPackage`1`x`(GcdDomain)->etc`(R)`LIMITRF`1380173
pRationalFunctionSign`1`x`(GcdDomain)->etc`(R)`SIGNRF`1380227
pRationalFunctionSum`1`x`(Join(IntegralDomain,etc))->etc`(R)`SUMRF`1380300
pRationalFunction`1`x`(IntegralDomain)->etc`(R)`RF`1380345
pRationalIntegration`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTRAT`1380443
pRationalInterpolation`2`n`(Symbol,F:Field)->etc`(xx,F)`RINTERP`1380525
pRationalLODE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERAT`1380588
pRationalRetractions`1`x`(RetractableTo(Fraction(Integer)))->etc`(S)`RATRET`1380739
pRationalRicDE`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`ODERTRIC`1380822
pRationalUnivariateRepresentationPackage`2`n`(Join(EuclideanDomain,etc),List(Symbol))->etc`(R,ls)`RURPK`1380887
pRealPolynomialUtilitiesPackage`2`x`(TheField:Field,ThePols:UnivariatePolynomialCategory(TheField))->etc`(TheField,ThePols)`POLUTIL`1381325
pRealSolvePackage`0`n`()->etc``REALSOLV`1381426
pRealZeroPackageQ`1`x`(UnivariatePolynomialCategory(Fraction(Integer)))->etc`(Pol)`REAL0Q`1381544
pRealZeroPackage`1`x`(UnivariatePolynomialCategory(Integer))->etc`(Pol)`REAL0`1381850
pRectangularMatrixCategoryFunctions2`10`x`(m:NonNegativeInteger,n:NonNegativeInteger,R1:Join(SemiRng,etc),Row1:DirectProductCategory(n,R1),Col1:DirectProductCategory(m,R1),M1:RectangularMatrixCategory(m,n,R1,Row1,Col1),R2:Join(SemiRng,etc),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`1382155
pRecurrenceOperator`2`n`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`RECOP`1382331
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`1382514
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`1382616
pReductionOfOrder`2`n`(F:Field,L:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,L)`REDORDER`1382731
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`1382882
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`1384209
pRepeatedDoubling`1`n`(Join(SetCategory,etc))->etc`(S)`REPDB`1384367
pRepeatedSquaring`1`n`(Join(SetCategory,etc))->etc`(S)`REPSQ`1384422
pRepresentationPackage1`1`x`(Ring)->etc`(R)`REP1`1384477
pRepresentationPackage2`1`x`(Ring)->etc`(R)`REP2`1384997
pResolveLatticeCompletion`1`x`(Type)->etc`(S)`RESLATC`1385568
pRetractSolvePackage`2`n`(Q:IntegralDomain,R:Join(IntegralDomain,etc))->etc`(Q,R)`RETSOL`1385667
pRootFSSplit`2`n`(R:Join(IntegralDomain,etc),F:FunctionSpace(R))->etc`(R,F)`RFSSPLIT`0
pSTransformPackage`4`x`(R:Join(CommutativeRing,etc),UTSR:UnivariateTaylorSeriesCategory(R),ULSR:UnivariateLaurentSeriesConstructorCategory(R,UTSR),UPSR:UnivariatePuiseuxSeriesConstructorCategory(R,ULSR))->etc`(R,UTSR,ULSR,UPSR)`STRANS`1385819
pScanningUtilities`0`n`()->etc``SCANUTIL`0
pScriptFormulaFormat1`1`x`(SetCategory)->etc`(S)`FORMULA1`1385899
pSegmentBindingFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEGBIND2`1386065
pSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`SEG2`1386168
pSequenceFunctions2`2`x`(CommutativeRing,R2:CommutativeRing)->etc`(R1,R2)`SEQU2`1386246
pSimplicialComplexFactory`1`n`(AbelianGroup)->etc`(VS)`SIMPCF`1386295
pSimplifyAlgebraicNumberConvertPackage`0`x`()->etc``SIMPAN`1386365
pSmithNormalForm`4`x`(R:EuclideanDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`SMITH`1386473
pSortPackage`2`n`(S:Type,A:Join(IndexedAggregate(Integer,S),etc))->etc`(S,A)`SORTPAK`1386580
pSortedCache`1`n`(CachableSet)->etc`(S)`SCACHE`1386629
pSparsePolynomialCoercionHelpers`3`n`(Ring,VarSet1:OrderedSet,VarSet2:OrderedSet)->etc`(R,VarSet1,VarSet2)`SMPCOER`0
pSparseUnivariatePolynomialFunctions2`2`x`(Ring,S:Ring)->etc`(R,S)`SUP2`1386989
pSpecialFunctionUnivariateTaylorSeries`2`n`(Coef:Field,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`SPFUTS`0
pSpecialOutputPackage`0`x`()->etc``SPECOUT`1387315
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`1387431
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`1387614
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`1388862
pStorageEfficientMatrixOperations`1`n`(Ring)->etc`(R)`MATSTOR`1389122
pStreamExponentialSeriesOperations`1`n`(CommutativeRing)->etc`(Coef)`STEXPS`1389422
pStreamExponentialSeriesTranscendentalFunctions`1`n`(Join(Algebra(Fraction(Integer)),etc))->etc`(Coef)`STEXPST`1389586
pStreamFunctions1`1`x`(Type)->etc`(S)`STREAM1`1389792
pStreamFunctions2`2`x`(Type,B:Type)->etc`(A,B)`STREAM2`1389854
pStreamFunctions3`3`x`(Type,B:Type,C:Type)->etc`(A,B,C)`STREAM3`1389917
pStreamTaylorSeriesOperations`1`n`(Ring)->etc`(A)`STTAYLOR`1389982
pStreamTensor`1`n`(Type)->etc`(R)`STNSR`0
pStreamTranscendentalFunctionsNonCommutative`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTFNC`1390128
pStreamTranscendentalFunctions`1`n`(Algebra(Fraction(Integer)))->etc`(Coef)`STTF`1390334
pStructuralConstantsPackage`1`x`(Field)->etc`(R)`SCPKG`1390498
pSturmHabichtPackage`2`x`(OrderedIntegralDomain,x:Symbol)->etc`(R,x)`SHP`1390686
pSubResultantPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`SUBRESP`1390849
pSymmetricFunctions`1`n`(Ring)->etc`(R)`SYMFUNC`1391121
pSymmetricGroupCombinatoricFunctions`0`x`()->etc``SGCF`1391189
pSymmetryAnalysis`3`n`(JetBundleCategory,xi:Union(Symbol,List(Symbol)),eta:Union(Symbol,List(Symbol)))->etc`(JB1,xi,eta)`SYMANA`1391396
pSystemODESolver`2`n`(F:Field,LO:LinearOrdinaryDifferentialOperatorCategory(F))->etc`(F,LO)`ODESYS`1391678
pSystemSolvePackage`1`x`(IntegralDomain)->etc`(R)`SYSSOLP`1391803
pTableauxBumpers`1`n`(OrderedSet)->etc`(S)`TABLBUMP`1392674
pTabulatedComputationPackage`2`n`(SetCategory,Entry:SetCategory)->etc`(Key,Entry)`TBCMPPK`1392874
pTangentExpansions`1`n`(Field)->etc`(R)`TANEXP`1393305
pTaylorSolve`3`n`(F:Field,UTSF:UnivariateTaylorSeriesCategory(F),UTSSMPF:UnivariateTaylorSeriesCategory(SparseMultivariatePolynomialExpressions(F)))->etc`(F,UTSF,UTSSMPF)`UTSSOL`0
pTemplateUtilities`0`n`()->etc``TEMUTL`1393359
pTensorPowerFunctions2`5`n`(NonNegativeInteger,R:CommutativeRing,B:OrderedSet,M1:FreeModuleCategory(R,B),M2:Module(R))->etc`(n,R,B,M1,M2)`TENSPO2`1393425
pTexFormat1`1`x`(SetCategory)->etc`(S)`TEX1`1393472
pToolsForSign`1`n`(Ring)->etc`(R)`TOOLSIGN`1393617
pTopLevelDrawFunctionsForAlgebraicCurves`2`x`(R:Join(IntegralDomain,etc),Ex:FunctionSpace(R))->etc`(R,Ex)`DRAWCURV`1393663
pTopLevelDrawFunctionsForCompiledFunctions`0`x`()->etc``DRAWCFUN`1393783
pTopLevelDrawFunctionsForPoints`0`x`()->etc``DRAWPT`1393899
pTopLevelDrawFunctions`1`x`(Join(ConvertibleTo(InputForm),etc))->etc`(Ex)`DRAW`1394028
pTopLevelThreeSpace`0`x`()->etc``TOPSP`1394124
pTransSolvePackageService`1`n`(Join(Comparable,etc))->etc`(R)`SOLVESER`1394199
pTransSolvePackage`1`x`(Join(Comparable,etc))->etc`(R)`SOLVETRA`1394760
pTranscendentalHermiteIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTHERTR`1395608
pTranscendentalIntegration`2`n`(F:Field,UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`INTTR`1395660
pTranscendentalManipulations`2`x`(R:Join(Comparable,etc),F:Join(FunctionSpace(R),etc))->etc`(R,F)`TRMANIP`1395752
pTranscendentalRischDESystem`2`n`(F:Join(Field,etc),UP:UnivariatePolynomialCategory(F))->etc`(F,UP)`RDETRS`1395878
pTriangularMatrixOperations`4`n`(R:IntegralDomain,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R),M:MatrixCategory(R,Row,Col))->etc`(R,Row,Col,M)`TRIMAT`1396013
pTrigonometricManipulations`2`x`(R:Join(GcdDomain,etc),F:Join(AlgebraicallyClosedField,etc))->etc`(R,F)`TRIGMNIP`1396490
pTubePlotTools`0`n`()->etc``TUBETOOL`1396642
pTwoDimensionalArrayFunctions`8`n`(A:Type,RA:FiniteLinearAggregate(A),CA:FiniteLinearAggregate(A),MA:TwoDimensionalArrayCategory(A,RA,CA),B:Type,RB:FiniteLinearAggregate(B),CB:FiniteLinearAggregate(B),MB:TwoDimensionalArrayCategory(B,RB,CB))->etc`(A,RA,CA,MA,B,RB,CB,MB)`ARRAY22`0
pTwoDimensionalPlotClipping`0`n`()->etc``CLIP`1396719
pTwoFactorize`1`n`(FiniteFieldCategory)->etc`(F)`TWOFACT`1396833
pU32VectorPolynomialOperations`0`n`()->etc``POLYVEC`1397001
pUTSodetools`4`n`(F:Ring,UP:UnivariatePolynomialCategory(F),L:LinearOrdinaryDifferentialOperatorCategory(UP),UTS:UnivariateTaylorSeriesCategory(F))->etc`(F,UP,L,UTS)`UTSODETL`1397343
pUnitGaussianElimination`0`n`()->etc``UGAUSS`1397473
pUnittestAux`1`n`(BasicType)->etc`(R)`TESTAUX`1397799
pUnittestCount`0`n`()->etc``TESTCNT`1397940
pUnittest`0`n`()->etc``TESTUNIT`1398222
pUnivariateFormalPowerSeriesFunctions`1`n`(Ring)->etc`(Coef)`UFPS1`0
pUnivariateLaurentSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`ULS2`1398449
pUnivariatePolynomialCategoryFunctions2`4`x`(R:Join(SemiRng,etc),PR:UnivariatePolynomialCategory(R),S:Join(SemiRng,etc),PS:UnivariatePolynomialCategory(S))->etc`(R,PR,S,PS)`UPOLYC2`1398627
pUnivariatePolynomialCommonDenominator`3`x`(R:IntegralDomain,Q:QuotientFieldCategory(R),UP:UnivariatePolynomialCategory(Q))->etc`(R,Q,UP)`UPCDEN`0
pUnivariatePolynomialDecompositionPackage`2`x`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDECOMP`1398771
pUnivariatePolynomialDivisionPackage`2`n`(R:IntegralDomain,UP:UnivariatePolynomialCategory(R))->etc`(R,UP)`UPDIVP`1398957
pUnivariatePolynomialFunctions2`4`x`(Symbol,R:Ring,y:Symbol,S:Ring)->etc`(x,R,y,S)`UP2`1399104
pUnivariatePolynomialMultiplicationPackage`2`x`(R:Ring,U:UnivariatePolynomialCategory(R))->etc`(R,U)`UPMP`1399450
pUnivariatePolynomialSquareFree`2`n`(RC:IntegralDomain,P:Join(UnivariatePolynomialCategory(RC),etc))->etc`(RC,P)`UPSQFREE`1399742
pUnivariatePuiseuxSeriesFunctions2`6`x`(Coef1:Ring,Coef2:Ring,var1:Symbol,var2:Symbol,cen1:Coef1,cen2:Coef2)->etc`(Coef1,Coef2,var1,var2,cen1,cen2)`UPXS2`1400419
pUnivariateSkewPolynomialCategoryOps`2`n`(R:Ring,C:UnivariateSkewPolynomialCategory(R))->etc`(R,C)`OREPCTO`1400570
pUnivariateTaylorSeriesFunctions2`4`x`(Coef1:Ring,Coef2:Ring,UTS1:UnivariateTaylorSeriesCategory(Coef1),UTS2:UnivariateTaylorSeriesCategory(Coef2))->etc`(Coef1,Coef2,UTS1,UTS2)`UTS2`1400699
pUnivariateTaylorSeriesODESolver`2`n`(Coef:Algebra(Fraction(Integer)),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(Coef,UTS)`UTSODE`1400876
pUniversalSegmentFunctions2`2`x`(Type,S:Type)->etc`(R,S)`UNISEG2`1401028
pUserDefinedPartialOrdering`1`n`(SetCategory)->etc`(S)`UDPO`1401106
pUserDefinedVariableOrdering`0`x`()->etc``UDVO`1401173
pVectorFunctions2`2`x`(Type,B:Type)->etc`(A,B)`VECTOR2`1401407
pVectorHermitePadeSolver`0`n`()->etc``VHPSOLV`0
pViewDefaultsPackage`0`x`()->etc``VIEWDEF`1401713
pViewportPackage`0`n`()->etc``VIEW`1401802
pWeierstrassPreparation`1`n`(Field)->etc`(R)`WEIER`1401929
pWildFunctionFieldIntegralBasis`4`n`(K:FiniteFieldCategory,R:UnivariatePolynomialCategory(K),UP:UnivariatePolynomialCategory(R),FramedAlgebra(R,UP))->etc`(K,R,UP,F)`WFFINTBS`1402517
pXExponentialPackage`3`n`(R:Join(Ring,etc),VarSet:OrderedSet,XPOLY:XPolynomialsCat(VarSet,R))->etc`(R,VarSet,XPOLY)`XEXPPKG`1402881
pZeroDimensionalSolvePackage`3`x`(Join(OrderedRing,etc),ls:List(Symbol),ls2:List(Symbol))->etc`(R,ls,ls2)`ZDSOLVE`1403059
pcompCode`0`n`()->etc``COMPCODE`1404384
pcompUtil`1`n`(VarCat)->etc`(UT)`COMPUTIL`1405228
xAbelianGroup&`1`n`(AbelianGroup)->etc`(S)`ABELGRP-`1405261
xAbelianMonoid&`1`n`(AbelianMonoid)->etc`(S)`ABELMON-`1405390
xAbelianMonoidRing&`3`n`(AbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`AMR-`1405512
xAbelianSemiGroup&`1`n`(AbelianSemiGroup)->etc`(S)`ABELSG-`1406118
xAggregate&`1`n`(Aggregate)->etc`(S)`AGG-`1406272
xAlgebra&`2`n`(Algebra(R),R:CommutativeRing)->etc`(S,R)`ALGEBRA-`1406795
xAlgebraicallyClosedField&`1`n`(AlgebraicallyClosedField)->etc`(S)`ACF-`1406889
xAlgebraicallyClosedFunctionSpace&`2`n`(AlgebraicallyClosedFunctionSpace(R),Join(Comparable,etc))->etc`(S,R)`ACFS-`1406936
xArcTrigonometricFunctionCategory&`1`n`(ArcTrigonometricFunctionCategory)->etc`(S)`ATRIG-`1406992
xBagAggregate&`2`n`(BagAggregate(S),S:Type)->etc`(A,S)`BGAGG-`1407050
xBasicType&`1`n`(BasicType)->etc`(S)`BASTYPE-`1407279
xBinaryRecursiveAggregate&`2`n`(BinaryRecursiveAggregate(S),S:Type)->etc`(A,S)`BRAGG-`1407398
xBinaryTreeCategory&`2`n`(BinaryTreeCategory(S),S:SetCategory)->etc`(A,S)`BTCAT-`1407539
xBitAggregate&`1`n`(BitAggregate)->etc`(S)`BTAGG-`1407758
xCollection&`2`n`(Collection(S),S:Type)->etc`(A,S)`CLAGG-`1407858
xComplexCategory&`2`n`(ComplexCategory(R),R:CommutativeRing)->etc`(S,R)`COMPCAT-`1408300
xDictionary&`2`n`(Dictionary(S),S:Type)->etc`(A,S)`DIAGG-`1408388
xDictionaryOperations&`2`n`(DictionaryOperations(S),S:Type)->etc`(A,S)`DIOPS-`1408709
xDifferentialExtension&`2`n`(DifferentialExtension(R),R:Ring)->etc`(S,R)`DIFEXT-`1408840
xDifferentialPolynomialCategory&`5`n`(DifferentialPolynomialCategory(R,S,V,E),R:Ring,S:OrderedSet,V:DifferentialVariableCategory(S),E:OrderedAbelianMonoidSup)->etc`(A,R,S,V,E)`DPOLCAT-`1408969
xDifferentialRing&`1`n`(DifferentialRing)->etc`(S)`DIFRING-`1410298
xDifferentialVariableCategory&`2`n`(DifferentialVariableCategory(S),S:OrderedSet)->etc`(A,S)`DVARCAT-`1410411
xDirectProductCategory&`3`n`(DirectProductCategory(dim,R),NonNegativeInteger,R:Type)->etc`(S,dim,R)`DIRPCAT-`1412806
xDivisionRing&`1`n`(DivisionRing)->etc`(S)`DIVRING-`1412864
xElementaryFunctionCategory&`1`n`(ElementaryFunctionCategory)->etc`(S)`ELEMFUN-`1413034
xEltableAggregate&`3`n`(EltableAggregate(Dom,Im),Dom:Type,Im:Type)->etc`(S,Dom,Im)`ELTAGG-`1413081
xEntireRing&`1`n`(EntireRing)->etc`(S)`ENTIRER-`1413446
xEuclideanDomain&`1`n`(EuclideanDomain)->etc`(S)`EUCDOM-`1413597
xEvalable&`2`n`(Evalable(R),R:SetCategory)->etc`(S,R)`EVALAB-`1413988
xExpressionSpace&`1`n`(ExpressionSpace)->etc`(S)`ES-`1414146
xExtensibleLinearAggregate&`2`n`(ExtensibleLinearAggregate(S),S:Type)->etc`(A,S)`ELAGG-`1414224
xExtensionField&`2`n`(ExtensionField(F),Field)->etc`(S,F)`XF-`1414632
xFacetCategory&`1`n`(FacetCategory)->etc`(S)`FACTCAT-`1414721
xField&`1`n`(Field)->etc`(S)`FIELD-`1414891
xFieldOfPrimeCharacteristic&`1`n`(FieldOfPrimeCharacteristic)->etc`(S)`FPC-`1415114
xFinite&`1`n`(Finite)->etc`(S)`FINITE-`1415357
xFiniteAbelianMonoidRing&`3`n`(FiniteAbelianMonoidRing(R,E),R:Join(SemiRng,etc),E:OrderedAbelianMonoid)->etc`(S,R,E)`FAMR-`1415588
xFiniteAlgebraicExtensionField&`2`n`(FiniteAlgebraicExtensionField(F),F:Field)->etc`(S,F)`FAXF-`1415760
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-`1417313
xFiniteFieldCategory&`1`n`(FiniteFieldCategory)->etc`(S)`FFIELDC-`1417544
xFiniteGraph&`2`n`(FiniteGraph(S),S:SetCategory)->etc`(A,S)`FGRPH-`1417605
xFiniteGroup&`1`n`(FiniteGroup)->etc`(S)`FINGRP-`1417685
xFiniteRankAlgebra&`3`n`(FiniteRankAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FINRALG-`1417724
xFiniteRankNonAssociativeAlgebra&`2`n`(FiniteRankNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FINAALG-`1417847
xFiniteSetAggregate&`2`n`(FiniteSetAggregate(S),S:SetCategory)->etc`(A,S)`FSAGG-`1417999
xFloatingPointSystem&`1`n`(FloatingPointSystem)->etc`(S)`FPS-`1418203
xFramedAlgebra&`3`n`(FramedAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`FRAMALG-`1419240
xFramedModule&`2`n`(FramedModule(R),R:Join(SemiRng,etc))->etc`(S,R)`FRMOD-`1419354
xFramedNonAssociativeAlgebra&`2`n`(FramedNonAssociativeAlgebra(R),R:CommutativeRing)->etc`(S,R)`FRNAALG-`1419451
xFreeModuleCategory&`3`n`(FreeModuleCategory(R,S),Join(SemiRng,etc),S:Comparable)->etc`(A,R,S)`FMCAT-`1419730
xFullyEvalableOver&`2`n`(FullyEvalableOver(R),R:SetCategory)->etc`(S,R)`FEVALAB-`1420765
xFullyLinearlyExplicitOver&`2`n`(FullyLinearlyExplicitOver(R),R:Ring)->etc`(S,R)`FLINEXP-`1420888
xFullyRetractableTo&`2`n`(FullyRetractableTo(S),S:Type)->etc`(A,S)`FRETRCT-`1421108
xFunctionFieldCategory&`4`n`(FunctionFieldCategory(F,UP,UPUP),F:UniqueFactorizationDomain,UP:UnivariatePolynomialCategory(F),UPUP:UnivariatePolynomialCategory(Fraction(UP)))->etc`(S,F,UP,UPUP)`FFCAT-`1421516
xFunctionSpace&`2`n`(FunctionSpace(R),R:Comparable)->etc`(S,R)`FS-`1421600
xGcdDomain&`1`n`(GcdDomain)->etc`(S)`GCDDOM-`1421680
xGradedAlgebra&`3`n`(GradedAlgebra(R,E),R:CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRALG-`1421988
xGradedModule&`3`n`(GradedModule(R,E),CommutativeRing,E:AbelianMonoid)->etc`(S,R,E)`GRMOD-`1422344
xGroup&`1`n`(Group)->etc`(S)`GROUP-`1422897
xHomogeneousAggregate&`2`n`(HomogeneousAggregate(S),S:Type)->etc`(A,S)`HOAGG-`1423010
xHyperbolicFunctionCategory&`1`n`(HyperbolicFunctionCategory)->etc`(S)`HYPCAT-`1423551
xIndexedAggregate&`3`n`(IndexedAggregate(Index,Entry),Index:Type,Entry:Type)->etc`(S,Index,Entry)`IXAGG-`1423612
xInnerEvalable&`3`n`(InnerEvalable(A,B),A:SetCategory,B:Type)->etc`(S,A,B)`IEVALAB-`1423872
xIntegerNumberSystem&`1`n`(IntegerNumberSystem)->etc`(S)`INS-`1424198
xJetBundleBaseFunctionCategory&`2`n`(JetBundleBaseFunctionCategory(JB),JetBundleCategory)->etc`(S,JB)`JBBFC-`1424265
xJetBundleCategory&`1`n`(JetBundleCategory)->etc`(S)`JBC-`1424556
xJetBundleFunctionCategory&`2`n`(JetBundleFunctionCategory(JB),JB:JetBundleCategory)->etc`(S,JB)`JBFC-`1425241
xKeyedDictionary&`3`n`(KeyedDictionary(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`KDAGG-`1425677
xLazyStreamAggregate&`2`n`(LazyStreamAggregate(S),S:Type)->etc`(A,S)`LZSTAGG-`1425787
xLeftAlgebra&`2`n`(LeftAlgebra(R),R:Ring)->etc`(S,R)`LALG-`1426102
xLieAlgebra&`2`n`(LieAlgebra(R),R:CommutativeRing)->etc`(S,R)`LIECAT-`1426168
xLinearAggregate&`2`n`(LinearAggregate(S),S:Type)->etc`(A,S)`LNAGG-`1426385
xLinearOrdinaryDifferentialOperatorCategory&`2`n`(LinearOrdinaryDifferentialOperatorCategory(A),Ring)->etc`(S,A)`LODOCAT-`1427082
xListAggregate&`2`n`(ListAggregate(S),S:Type)->etc`(A,S)`LSAGG-`1427349
xMagma&`1`n`(Magma)->etc`(S)`MAGMA-`1427538
xMagmaWithUnit&`1`n`(MagmaWithUnit)->etc`(S)`MAGMAWU-`1427645
xMatrixCategory&`4`n`(MatrixCategory(R,Row,Col),R:AbelianMonoid,Row:FiniteLinearAggregate(R),Col:FiniteLinearAggregate(R))->etc`(S,R,Row,Col)`MATCAT-`1428109
xMaybeSkewPolynomialCategory&`4`n`(MaybeSkewPolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`GPOLCAT-`1428727
xModule&`2`n`(Module(R),R:CommutativeRing)->etc`(S,R)`MODULE-`1428912
xMonogenicAlgebra&`3`n`(MonogenicAlgebra(R,UP),R:CommutativeRing,UP:UnivariatePolynomialCategory(R))->etc`(S,R,UP)`MONOGEN-`1428980
xMultivariateTaylorSeriesCategory&`3`n`(MultivariateTaylorSeriesCategory(Coef,Var),Coef:Ring,Var:OrderedSet)->etc`(S,Coef,Var)`MTSCAT-`1429091
xNonAssociativeAlgebra&`2`n`(NonAssociativeAlgebra(R),CommutativeRing)->etc`(S,R)`NAALG-`1429200
xNonAssociativeRing&`1`n`(NonAssociativeRing)->etc`(S)`NARING-`1429397
xNonAssociativeRng&`1`n`(NonAssociativeRng)->etc`(S)`NARNG-`1429544
xNonAssociativeSemiRng&`1`n`(NonAssociativeSemiRng)->etc`(S)`NASRNG-`1429902
xOctonionCategory&`2`n`(OctonionCategory(R),R:CommutativeRing)->etc`(S,R)`OC-`1430031
xOneDimensionalArrayAggregate&`2`n`(OneDimensionalArrayAggregate(S),S:Type)->etc`(A,S)`A1AGG-`1430254
xOpenMath&`1`n`(OpenMath)->etc`(S)`OM-`1431063
xOrderedRing&`1`n`(OrderedRing)->etc`(S)`ORDRING-`1431155
xOrderedSet&`1`n`(OrderedSet)->etc`(S)`ORDSET-`1431290
xPartialDifferentialRing&`2`n`(PartialDifferentialRing(S),S:SetCategory)->etc`(A,S)`PDRING-`1431611
xPartialOrder&`1`n`(PartialOrder)->etc`(S)`PORDER-`1431718
xPolynomialCategory&`4`n`(PolynomialCategory(R,E,VarSet),R:Join(SemiRng,etc),E:OrderedAbelianMonoidSup,VarSet:OrderedSet)->etc`(S,R,E,VarSet)`POLYCAT-`1431837
xPolynomialFactorizationExplicit&`1`n`(PolynomialFactorizationExplicit)->etc`(S)`PFECAT-`1432054
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-`1432189
xPoset&`2`n`(Poset(S),S:SetCategory)->etc`(A,S)`POSET-`1432805
xPowerSeriesCategory&`4`n`(PowerSeriesCategory(Coef,Expon,Var),Coef:Ring,Expon:OrderedAbelianMonoid,Var:OrderedSet)->etc`(S,Coef,Expon,Var)`PSCAT-`1433282
xQuaternionCategory&`2`n`(QuaternionCategory(R),R:CommutativeRing)->etc`(S,R)`QUATCAT-`1433408
xQuotientFieldCategory&`2`n`(QuotientFieldCategory(S),S:IntegralDomain)->etc`(A,S)`QFCAT-`1433547
xRadicalCategory&`1`n`(RadicalCategory)->etc`(S)`RADCAT-`1433640
xRealClosedField&`1`n`(RealClosedField)->etc`(S)`RCFIELD-`1433712
xRealNumberSystem&`1`n`(RealNumberSystem)->etc`(S)`RNS-`1433808
xRealRootCharacterizationCategory&`3`n`(RealRootCharacterizationCategory(TheField,ThePols),TheField:Join(OrderedRing,etc),ThePols:UnivariatePolynomialCategory(TheField))->etc`(S,TheField,ThePols)`RRCC-`1434104
xRectangularMatrixCategory&`6`n`(RectangularMatrixCategory(m,n,R,Row,Col),m:NonNegativeInteger,n:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(n,R),Col:DirectProductCategory(m,R))->etc`(S,m,n,R,Row,Col)`RMATCAT-`1434216
xRecursiveAggregate&`2`n`(RecursiveAggregate(S),S:Type)->etc`(A,S)`RCAGG-`1434446
xRecursivePolynomialCategory&`4`n`(RecursivePolynomialCategory(R,E,V),R:Ring,E:OrderedAbelianMonoidSup,V:OrderedSet)->etc`(S,R,E,V)`RPOLCAT-`1434900
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-`1435381
xRetractableFrom&`2`n`(RetractableFrom(S),S:Type)->etc`(A,S)`RETFROM-`1437667
xRetractableTo&`2`n`(RetractableTo(S),S:Type)->etc`(A,S)`RETRACT-`1437846
xRng&`1`n`(Rng)->etc`(S)`RNG-`1438022
xSPointCategory&`1`n`(SPointCategory)->etc`(S)`SPTCAT-`1438248
xSetAggregate&`2`n`(SetAggregate(S),S:SetCategory)->etc`(A,S)`SETAGG-`1438579
xSetCategory&`1`n`(SetCategory)->etc`(S)`SETCAT-`1438906
xSquareMatrixCategory&`5`n`(SquareMatrixCategory(ndim,R,Row,Col),ndim:NonNegativeInteger,R:Join(SemiRng,etc),Row:DirectProductCategory(ndim,R),Col:DirectProductCategory(ndim,R))->etc`(S,ndim,R,Row,Col)`SMATCAT-`1439179
xStreamAggregate&`2`n`(StreamAggregate(S),S:Type)->etc`(A,S)`STAGG-`1439436
xStringAggregate&`1`n`(StringAggregate)->etc`(S)`SRAGG-`1439699
xTableAggregate&`3`n`(TableAggregate(Key,Entry),Key:Type,Entry:Type)->etc`(S,Key,Entry)`TBAGG-`1439804
xTaylorSeriesExpansion&`6`n`(TaylorSeriesExpansion(Coef,Expon,Var,PS,UTS),Coef:Algebra(Fraction(Integer)),Expon:OrderedAbelianMonoid,Var:OrderedSet,PS:PowerSeriesCategory(Coef,Expon,Var),UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,Expon,Var,PS,UTS)`TSEREXP-`0
xTensorPowerCategory&`4`n`(TensorPowerCategory(n,R,M),NonNegativeInteger,R:CommutativeRing,M:Module(R))->etc`(S,n,R,M)`TENSPC-`1439926
xTranscendentalFunctionCategory&`1`n`(TranscendentalFunctionCategory)->etc`(S)`TRANFUN-`1439995
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-`1440057
xTrigonometricFunctionCategory&`1`n`(TrigonometricFunctionCategory)->etc`(S)`TRIGCAT-`1441147
xTwoDimensionalArrayCategory&`4`n`(TwoDimensionalArrayCategory(R,Row,Col),R:Type,Row:IndexedAggregate(Integer,R),Col:IndexedAggregate(Integer,R))->etc`(S,R,Row,Col)`ARR2CAT-`1441197
xUnaryRecursiveAggregate&`2`n`(UnaryRecursiveAggregate(S),S:Type)->etc`(A,S)`URAGG-`1441754
xUniqueFactorizationDomain&`1`n`(UniqueFactorizationDomain)->etc`(S)`UFD-`1442301
xUnivariateLaurentSeriesCategory&`2`n`(UnivariateLaurentSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`ULSCAT-`1442475
xUnivariateLaurentSeriesConstructorCategory&`3`n`(UnivariateLaurentSeriesConstructorCategory(Coef,UTS),Coef:Ring,UTS:UnivariateTaylorSeriesCategory(Coef))->etc`(S,Coef,UTS)`ULSCCAT-`1442577
xUnivariatePolynomialCategory&`2`n`(UnivariatePolynomialCategory(R),R:Join(SemiRng,etc))->etc`(S,R)`UPOLYC-`1442874
xUnivariatePowerSeriesCategory&`3`n`(UnivariatePowerSeriesCategory(Coef,Expon),Coef:Ring,Expon:OrderedAbelianMonoid)->etc`(S,Coef,Expon)`UPSCAT-`1443023
xUnivariatePuiseuxSeriesConstructorCategory&`3`n`(UnivariatePuiseuxSeriesConstructorCategory(Coef,ULS),Coef:Ring,ULS:UnivariateLaurentSeriesCategory(Coef))->etc`(S,Coef,ULS)`UPXSCCA-`1443371
xUnivariateSkewPolynomialCategory&`2`n`(UnivariateSkewPolynomialCategory(R),R:Ring)->etc`(S,R)`OREPCAT-`1443672
xUnivariateTaylorSeriesCategory&`2`n`(UnivariateTaylorSeriesCategory(Coef),Coef:Ring)->etc`(S,Coef)`UTSCAT-`1444056
xVectorCategory&`2`n`(VectorCategory(R),R:Type)->etc`(S,R)`VECTCAT-`1444156
xVectorSpace&`2`n`(VectorSpace(S),S:Field)->etc`(A,S)`VSPACE-`1444577
