.. status: ok 18.1 FriCAS Domains ------------------- This is a listing of all domains in the FriCAS library at the time this book was produced. Use the Browse facility (described in Chapter `ugBrowse `__ ) to get more information about these constructors. This sample entry will help you read the following table: DomainName{DomainAbbreviation}:{ Category1 ... CategoryN}with { op1... opM} where +----------------------+----------------------------------------------+ | DomainName | is the full domain name, e.g., Integer. | +----------------------+----------------------------------------------+ | DomainAbbreviation | is the domain abbreviation, e.g., INT. | +----------------------+----------------------------------------------+ | Categoryi | is a category to which the domain belongs. | +----------------------+----------------------------------------------+ | opj | is an operation exported by the domain. | +----------------------+----------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ALGSC | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AlgebraGivenByStructuralConstants | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FramedNonAssociativeAlgebra LeftModule | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * ^ + - = JacobiIdentity? JordanAlgebra? alternative? antiAssociative? antiCommutative? antiCommutator apply associative? associator associatorDependence basis coerce commutative? commutator conditionsForIdempotents convert coordinates elt flexible? jordanAdmissible? leftAlternative? leftCharacteristicPolynomial leftDiscriminant leftMinimalPolynomial leftNorm leftPower leftRankPolynomial leftRecip leftRegularRepresentation leftTrace leftTraceMatrix leftUnit leftUnits lieAdmissible? lieAlgebra? noncommutativeJordanAlgebra? plenaryPower powerAssociative? rank recip represents rightAlternative? rightCharacteristicPolynomial rightDiscriminant rightMinimalPolynomial rightNorm rightPower rightRankPolynomial rightRecip rightRegularRepresentation rightTrace rightTraceMatrix rightUnit rightUnits someBasis structuralConstants unit zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ALGFF | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AlgebraicFunctionField | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FunctionFieldCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D absolutelyIrreducible? associates? basis branchPoint? branchPointAtInfinity? characteristic characteristicPolynomial charthRoot coerce complementaryBasis convert coordinates definingPolynomial derivationCoordinates differentiate discriminant divide elt euclideanSize expressIdealMember exquo extendedEuclidean factor gcd generator genus integral? integralAtInfinity? integralBasis integralBasisAtInfinity integralCoordinates integralDerivationMatrix integralMatrix integralMatrixAtInfinity integralRepresents inv inverseIntegralMatrix inverseIntegralMatrixAtInfinity knownInfBasis lcm lift minimalPolynomial multiEuclidean nonSingularModel norm normalizeAtInfinity numberOfComponents one? prime? primitivePart principalIdeal quo ramified? ramifiedAtInfinity? rank rationalPoint? rationalPoints recip reduce reduceBasisAtInfinity reducedSystem regularRepresentation rem represents retract retractIfCan singular? singularAtInfinity? sizeLess? squareFree squareFreePart trace traceMatrix unit? unitCanonical unitNormal yCoordinates zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | AN | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AlgebraicNumber | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AlgebraicallyClosedField CharacteristicZero ConvertibleTo DifferentialRing ExpressionSpace LinearlyExplicitRingOver RealConstant RetractableTo | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? belong? box characteristic coerce convert definingPolynomial denom differentiate distribute divide elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor freeOf? gcd height inv is? kernel kernels lcm mainKernel map max min minPoly multiEuclidean nthRoot numer one? operator operators paren prime? principalIdeal quo recip reduce reducedSystem rem retract retractIfCan rootOf rootsOf sizeLess? sqrt squareFree squareFreePart subst tower unit? unitCanonical unitNormal zero? zeroOf zerosOf | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------+ | Abbreviation: | ANON | +-----------------+---------------------+ | Full name: | AnonymousFunction | +-----------------+---------------------+ | Belongs to: | SetCategory | +-----------------+---------------------+ | Operations: | = coerce | +-----------------+---------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ANTISYM | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AntiSymm | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | LeftAlgebra RetractableTo | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = characteristic coefficient coerce degree exp generator homogeneous? leadingBasisTerm leadingCoefficient map one? recip reductum retract retractIfCan retractable? zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------+ | Abbreviation: | ANY | +-----------------+--------------------------------------------------------------+ | Full name: | Any | +-----------------+--------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+--------------------------------------------------------------+ | Operations: | = any coerce domain domainOf obj objectOf showTypeInOutput | +-----------------+--------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ASTACK | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ArrayStack | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | StackAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? arrayStack bag coerce copy count depth empty empty? eq? every? extract! insert! inspect less? map map! member? members more? parts pop! push! size? top | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | JORDAN | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AssociatedJordanAlgebra | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra NonAssociativeAlgebra | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * ^ + - = JacobiIdentity? JordanAlgebra? alternative? antiAssociative? antiCommutative? antiCommutator apply associative? associator associatorDependence basis coerce commutative? commutator conditionsForIdempotents convert coordinates elt flexible? jordanAdmissible? leftAlternative? leftCharacteristicPolynomial leftDiscriminant leftMinimalPolynomial leftNorm leftPower leftRankPolynomial leftRecip leftRegularRepresentation leftTrace leftTraceMatrix leftUnit leftUnits lieAdmissible? lieAlgebra? noncommutativeJordanAlgebra? plenaryPower powerAssociative? rank recip represents rightAlternative? rightCharacteristicPolynomial rightDiscriminant rightMinimalPolynomial rightNorm rightPower rightRankPolynomial rightRecip rightRegularRepresentation rightTrace rightTraceMatrix rightUnit rightUnits someBasis structuralConstants unit zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LIE | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AssociatedLieAlgebra | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo FiniteRankNonAssociativeAlgebra FramedNonAssociativeAlgebra NonAssociativeAlgebra | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * ^ + - = JacobiIdentity? JordanAlgebra? alternative? antiAssociative? antiCommutative? antiCommutator apply associative? associator associatorDependence basis coerce commutative? commutator conditionsForIdempotents convert coordinates elt flexible? jordanAdmissible? leftAlternative? leftCharacteristicPolynomial leftDiscriminant leftMinimalPolynomial leftNorm leftPower leftRankPolynomial leftRecip leftRegularRepresentation leftTrace leftTraceMatrix leftUnit leftUnits lieAdmissible? lieAlgebra? noncommutativeJordanAlgebra? plenaryPower powerAssociative? rank recip represents rightAlternative? rightCharacteristicPolynomial rightDiscriminant rightMinimalPolynomial rightNorm rightPower rightRankPolynomial rightRecip rightRegularRepresentation rightTrace rightTraceMatrix rightUnit rightUnits someBasis structuralConstants unit zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ALIST | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | AssociationList | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AssociationListAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? assoc bag child? children coerce concat concat! construct copy copyInto! count cycleEntry cycleLength cycleSplit! cycleTail cyclic? delete delete! dictionary distance elt empty empty? entries entry? eq? every? explicitlyFinite? extract! fill! find first index? indices insert insert! inspect key? keys last leaf? less? list map map! maxIndex member? members merge merge! minIndex more? new node? nodes parts position possiblyInfinite? qelt qsetelt! reduce remove remove! removeDuplicates removeDuplicates! rest reverse reverse! search second select select! setchildren! setelt setfirst! setlast! setrest! setvalue! size? sort sort! sorted? split! swap! table tail third value | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BBTREE | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BalancedBinaryTree | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | BinaryTreeCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? balancedBinaryTree children coerce copy count cyclic? elt empty empty? eq? every? leaf? leaves left less? map map! mapDown! mapUp! member? members more? node node? nodes parts right setchildren! setelt setleaves! setleft! setright! setvalue! size? value | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BPADIC | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BalancedPAdicInteger | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PAdicIntegerCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = approximate associates? characteristic coerce complete digits divide euclideanSize expressIdealMember exquo extend extendedEuclidean gcd lcm moduloP modulus multiEuclidean one? order principalIdeal quo quotientByP recip rem sizeLess? sqrt unit? unitCanonical unitNormal zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BPADICRT | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BalancedPAdicRational | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D approximate associates? characteristic coerce continuedFraction denom denominator differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor fractionPart gcd inv lcm map multiEuclidean numer numerator one? prime? principalIdeal quo recip reducedSystem rem removeZeroes retract retractIfCan sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BOP | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BasicOperator | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | OrderedSet | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | < = arity assert coerce comparison copy deleteProperty! display equality has? input is? max min name nary? nullary? operator properties property setProperties setProperty unary? weight | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BINARY | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BinaryExpansion | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs associates? binary ceiling characteristic coerce convert denom denominator differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor floor fractionPart gcd init inv lcm map max min multiEuclidean negative? nextItem numer numerator one? patternMatch positive? prime? principalIdeal quo random recip reducedSystem rem retract retractIfCan sign sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BSTREE | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BinarySearchTree | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | BinaryTreeCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? binarySearchTree children coerce copy count cyclic? elt empty empty? eq? every? insert! insertRoot! leaf? leaves left less? map map! member? members more? node node? nodes parts right setchildren! setelt setleft! setright! setvalue! size? split value | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ count cyclic? elt empty empty? eq? every? insert! leaf? leaves left less? map map! member? members more? node node? nodes parts right setchildren! setelt setleft! setright! setvalue! size? value} +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BTREE | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | BinaryTree | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | BinaryTreeCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? binaryTree children coerce copy count cyclic? elt empty empty? eq? every? leaf? leaves left less? map map! member? members more? node node? nodes parts right setchildren! setelt setleft! setright! setvalue! size? value | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | BITS | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Bits | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | BitAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = \\^{} and any? bits coerce concat construct convert copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? nand new nor not or parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! xor | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------+ | Abbreviation: | BOOLEAN | +-----------------+--------------------------------------------------------------------------------------------------------+ | Full name: | Boolean | +-----------------+--------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo Finite OrderedSet | +-----------------+--------------------------------------------------------------------------------------------------------+ | Operations: | < = \\^{} and coerce convert false implies index lookup max min nand nor not or random size true xor | +-----------------+--------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | CARD | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | CardinalNumber | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CancellationAbelianMonoid Monoid OrderedSet RetractableTo | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = Aleph coerce countable? finite? generalizedContinuumHypothesisAssumed generalizedContinuumHypothesisAssumed? max min one? recip retract retractIfCan zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | CARTEN | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | CartesianTensor | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | GradedAlgebra | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * + - = coerce contract degree elt kroneckerDelta leviCivitaSymbol product rank ravel reindex retract retractIfCan transpose unravel | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | CCLASS | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | CharacterClass | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo FiniteSetAggregate SetCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = alphabetic alphanumeric any? bag brace cardinality charClass coerce complement construct convert copy count dictionary difference digit empty empty? eq? every? extract! find hexDigit index insert! inspect intersect less? lookup lowerCase map map! max member? members min more? parts random reduce remove remove! removeDuplicates select select! size size? subset? symmetricDifference union universe upperCase | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | CHAR | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Character | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | OrderedFinite | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | < = alphabetic? alphanumeric? char coerce digit? escape hexDigit? index lookup lowerCase lowerCase? max min ord quote random size space upperCase upperCase? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------+ | Abbreviation: | CLIF | +-----------------+--------------------------------------------------------------------------------------------+ | Full name: | CliffordAlgebra | +-----------------+--------------------------------------------------------------------------------------------+ | Belongs to: | Algebra Ring VectorSpace | +-----------------+--------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = characteristic coefficient coerce dimension e monomial one? recip zero? | +-----------------+--------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------+ | Abbreviation: | COLOR | +-----------------+--------------------------------------------------------------+ | Full name: | Color | +-----------------+--------------------------------------------------------------+ | Belongs to: | AbelianSemiGroup | +-----------------+--------------------------------------------------------------+ | Operations: | * + = blue coerce color green hue numberOfHues red yellow | +-----------------+--------------------------------------------------------------+ +-----------------+-------------------+ | Abbreviation: | COMM | +-----------------+-------------------+ | Full name: | Commutator | +-----------------+-------------------+ | Belongs to: | SetCategory | +-----------------+-------------------+ | Operations: | = coerce mkcomm | +-----------------+-------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | COMPLEX | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Complex | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ComplexCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs acos acosh acot acoth acsc acsch argument asec asech asin asinh associates? atan atanh basis characteristic characteristicPolynomial charthRoot coerce complex conditionP conjugate convert coordinates cos cosh cot coth createPrimitiveElement csc csch definingPolynomial derivationCoordinates differentiate discreteLog discriminant divide elt euclideanSize eval exp expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial factorsOfCyclicGroupSize gcd gcdPolynomial generator imag imaginary index init inv lcm lift log lookup map max min minimalPolynomial multiEuclidean nextItem norm nthRoot one? order pi polarCoordinates prime? primeFrobenius primitive? primitiveElement principalIdeal quo random rank rational rational? rationalIfCan real recip reduce reducedSystem regularRepresentation rem representationType represents retract retractIfCan sec sech sin sinh size sizeLess? solveLinearPolynomialEquation sqrt squareFree squareFreePart squareFreePolynomial tableForDiscreteLogarithm tan tanh trace traceMatrix unit? unitCanonical unitNormal zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | CONTFRAC | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ContinuedFraction | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra Field | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = approximants associates? characteristic coerce complete continuedFraction convergents denominators divide euclideanSize expressIdealMember exquo extend extendedEuclidean factor gcd inv lcm multiEuclidean numerators one? partialDenominators partialNumerators partialQuotients prime? principalIdeal quo recip reducedContinuedFraction reducedForm rem sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------+ | Abbreviation: | DBASE | +-----------------+----------------------------------------+ | Full name: | Database | +-----------------+----------------------------------------+ | Belongs to: | SetCategory | +-----------------+----------------------------------------+ | Operations: | + - = coerce display elt fullDisplay | +-----------------+----------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DFLOAT | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DoubleFloat | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo DifferentialRing FloatingPointSystem TranscendentalFunctionCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs acos acosh acot acoth acsc acsch asec asech asin asinh associates? atan atanh base bits ceiling characteristic coerce convert cos cosh cot coth csc csch decreasePrecision differentiate digits divide euclideanSize exp exp1 exponent expressIdealMember exquo extendedEuclidean factor float floor fractionPart gcd hash increasePrecision inv lcm log log10 log2 mantissa max min multiEuclidean negative? norm nthRoot one? order patternMatch pi positive? precision prime? principalIdeal quo rationalApproximation recip rem retract retractIfCan round sec sech sign sin sinh sizeLess? sqrt squareFree squareFreePart tan tanh truncate unit? unitCanonical unitNormal wholePart zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DLIST | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DataList | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ListAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? children coerce concat concat! construct convert copy copyInto! count cycleEntry cycleLength cycleSplit! cycleTail cyclic? datalist delete delete! elt empty empty? entries entry? eq? every? explicitlyFinite? fill! find first index? indices insert insert! last leaf? leaves less? list map map! max maxIndex member? members merge merge! min minIndex more? new node? nodes parts position possiblyInfinite? qelt qsetelt! reduce remove remove! removeDuplicates removeDuplicates! rest reverse reverse! second select select! setchildren! setelt setfirst! setlast! setrest! setvalue! size? sort sort! sorted? split! swap! tail third value | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DECIMAL | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DecimalExpansion | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs associates? ceiling characteristic coerce convert decimal denom denominator differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor floor fractionPart gcd init inv lcm map max min multiEuclidean negative? nextItem numer numerator one? patternMatch positive? prime? principalIdeal quo random recip reducedSystem rem retract retractIfCan sign sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DHMATRIX | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DenavitHartenbergMatrix | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MatrixCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # * ^ + - / = antisymmetric? any? coerce column copy count determinant diagonal? diagonalMatrix elt empty empty? eq? every? exquo fill! horizConcat identity inverse less? listOfLists map map! matrix maxColIndex maxRowIndex member? members minColIndex minRowIndex minordet more? ncols new nrows nullSpace nullity parts qelt qsetelt! rank rotatex rotatey rotatez row rowEchelon scalarMatrix scale setColumn! setRow! setelt setsubMatrix! size? square? squareTop subMatrix swapColumns! swapRows! symmetric? translate transpose vertConcat zero | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DEQUEUE | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Dequeue | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DequeueAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? back bag bottom! coerce copy count depth dequeue dequeue! empty empty? enqueue! eq? every? extract! extractBottom! extractTop! front height insert! insertBottom! insertTop! inspect length less? map map! member? members more? parts pop! push! reverse! rotate! size? top top! | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DERHAM | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DeRhamComplex | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | LeftAlgebra RetractableTo | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = characteristic coefficient coerce degree exteriorDifferential generator homogeneous? leadingBasisTerm leadingCoefficient map one? recip reductum retract retractIfCan retractable? totalDifferential zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DSMP | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DifferentialSparseMultivariatePolynomial | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DifferentialPolynomialCategory RetractableTo | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP content convert degree differentialVariables differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? initial isExpt isPlus isTimes isobaric? lcm leader leadingCoefficient leadingMonomial mainVariable makeVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? order patternMatch prime? primitiveMonomials primitivePart recip reducedSystem reductum resultant retract retractIfCan separant solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables weight weights zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DPMM | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DirectProductMatrixModule | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DirectProductCategory LeftModule | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / < = D abs any? characteristic coerce copy count differentiate dimension directProduct dot elt empty empty? entries entry? eq? every? fill! first index index? indices less? lookup map map! max maxIndex member? members min minIndex more? negative? one? parts positive? qelt qsetelt! random recip reducedSystem retract retractIfCan setelt sign size size? sup swap! unitVector zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DPMO | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DirectProductModule | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DirectProductCategory LeftModule | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / < = D abs any? characteristic coerce copy count differentiate dimension directProduct dot elt empty empty? entries entry? eq? every? fill! first index index? indices less? lookup map map! max maxIndex member? members min minIndex more? negative? one? parts positive? qelt qsetelt! random recip reducedSystem retract retractIfCan setelt sign size size? sup swap! unitVector zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DIRPROD | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DirectProduct | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DirectProductCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / < = D abs any? characteristic coerce copy count differentiate dimension directProduct dot elt empty empty? entries entry? eq? every? fill! first index index? indices less? lookup map map! max maxIndex member? members min minIndex more? negative? one? parts positive? qelt qsetelt! random recip reducedSystem retract retractIfCan setelt sign size size? sup swap! unitVector zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DMP | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DistributedMultivariatePolynomial | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PolynomialCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP const content convert degree differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? prime? primitiveMonomials primitivePart recip reducedSystem reductum reorder resultant retract retractIfCan solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | DROPT | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | DrawOption | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | = adaptive clip coerce colorFunction coordinate coordinates curveColor option option? pointColor range ranges space style title toScale tubePoints tubeRadius unit var1Steps var2Steps | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | EFULS | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ElementaryFunctionsUnivariateLaurentSeries | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PartialTranscendentalFunctions | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | ^ acos acosIfCan acosh acoshIfCan acot acotIfCan acoth acothIfCan acsc acscIfCan acsch acschIfCan asec asecIfCan asech asechIfCan asin asinIfCan asinh asinhIfCan atan atanIfCan atanh atanhIfCan cos cosIfCan cosh coshIfCan cot cotIfCan coth cothIfCan csc cscIfCan csch cschIfCan exp expIfCan log logIfCan nthRootIfCan sec secIfCan sech sechIfCan sin sinIfCan sinh sinhIfCan tan tanIfCan tanh tanhIfCan | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | EFUPXS | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ElementaryFunctionsUnivariatePuiseuxSeries | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PartialTranscendentalFunctions | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | ^ acos acosIfCan acosh acoshIfCan acot acotIfCan acoth acothIfCan acsc acscIfCan acsch acschIfCan asec asecIfCan asech asechIfCan asin asinIfCan asinh asinhIfCan atan atanIfCan atanh atanhIfCan cos cosIfCan cosh coshIfCan cot cotIfCan coth cothIfCan csc cscIfCan csch cschIfCan exp expIfCan log logIfCan nthRootIfCan sec secIfCan sech sechIfCan sin sinIfCan sinh sinhIfCan tan tanIfCan tanh tanhIfCan | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | EQTBL | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | EqTable | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? map map! maxIndex member? members minIndex more? parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------+ | Abbreviation: | EQ | +-----------------+------------------------------------------------+ | Full name: | Equation | +-----------------+------------------------------------------------+ | Belongs to: | CoercibleTo InnerEvalable Object SetCategory | +-----------------+------------------------------------------------+ | Operations: | * ^ + - = coerce equation eval lhs map rhs | +-----------------+------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | EMR | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | EuclideanModularRing | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | EuclideanDomain | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = associates? characteristic coerce divide euclideanSize exQuo expressIdealMember exquo extendedEuclidean gcd inv lcm modulus multiEuclidean one? principalIdeal quo recip reduce rem sizeLess? unit? unitCanonical unitNormal zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------+ | Abbreviation: | EXIT | +-----------------+---------------+ | Full name: | Exit | +-----------------+---------------+ | Belongs to: | SetCategory | +-----------------+---------------+ | Operations: | = coerce | +-----------------+---------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | EXPR | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Expression | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AlgebraicallyClosedFunctionSpace CombinatorialOpsCategory FunctionSpace LiouvillianFunctionCategory RetractableTo SpecialFunctionCategory TranscendentalFunctionCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = Beta Ci D Ei Gamma Si abs acos acosh acot acoth acsc acsch airyAi airyBi applyQuote asec asech asin asinh associates? atan atanh belong? besselI besselJ besselK besselY binomial box characteristic charthRoot coerce commutator conjugate convert cos cosh cot coth csc csch definingPolynomial denom denominator differentiate digamma dilog distribute divide elt erf euclideanSize eval exp expressIdealMember exquo extendedEuclidean factor factorial factorials freeOf? gcd ground ground? height integral inv is? isExpt isMult isPlus isPower isTimes kernel kernels lcm li log mainKernel map max min minPoly multiEuclidean nthRoot numer numerator one? operator operators paren patternMatch permutation pi polygamma prime? principalIdeal product quo recip reduce reducedSystem rem retract retractIfCan rootOf rootsOf sec sech sin sinh sizeLess? sqrt squareFree squareFreePart subst summation tan tanh tower unit? unitCanonical unitNormal univariate variables zero? zeroOf zerosOf | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------+ | Abbreviation: | EAB | +-----------------+-------------------------------------------+ | Full name: | ExtAlgBasis | +-----------------+-------------------------------------------+ | Belongs to: | OrderedSet | +-----------------+-------------------------------------------+ | Operations: | < = Nul coerce degree exponents max min | +-----------------+-------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FR | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Factored | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra DifferentialExtension Eltable Evalable FullyEvalableOver FullyRetractableTo GcdDomain InnerEvalable IntegralDomain RealConstant UniqueFactorizationDomain | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = D associates? characteristic coerce convert differentiate elt eval expand exponent exquo factor factorList factors flagFactor gcd irreducibleFactor lcm makeFR map nilFactor nthExponent nthFactor nthFlag numberOfFactors one? prime? primeFactor rational rational? rationalIfCan recip retract retractIfCan sqfrFactor squareFree squareFreePart unit unit? unitCanonical unitNormal unitNormalize zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------+ | Abbreviation: | FNAME | +-----------------+------------------------------------------------------------------------------+ | Full name: | FileName | +-----------------+------------------------------------------------------------------------------+ | Belongs to: | FileNameCategory | +-----------------+------------------------------------------------------------------------------+ | Operations: | = coerce directory exists? extension filename name new readable? writable? | +-----------------+------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------+ | Abbreviation: | FILE | +-----------------+--------------------------------------------------------------------+ | Full name: | File | +-----------------+--------------------------------------------------------------------+ | Belongs to: | FileCategory | +-----------------+--------------------------------------------------------------------+ | Operations: | = close! coerce iomode name open read! readIfCan! reopen! write! | +-----------------+--------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FDIV | +-----------------+-----------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteDivisor | +-----------------+-----------------------------------------------------------------------------------------------------------------+ | Belongs to: | AbelianGroup | +-----------------+-----------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - = algsplit coerce divisor finiteBasis generator ideal lSpaceBasis mkBasicDiv principal? reduce zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFCGP | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldCyclicGroupExtensionByPolynomial | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator getZechTable inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFCGX | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldCyclicGroupExtension | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator getZechTable inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFCG | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldCyclicGroup | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator getZechTable inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFP | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldExtensionByPolynomial | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFX | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldExtension | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFNBP | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldNormalBasisExtensionByPolynomial | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator getMultiplicationMatrix getMultiplicationTable inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? sizeMultiplication squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFNBX | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldNormalBasisExtension | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator getMultiplicationMatrix getMultiplicationTable inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? sizeMultiplication squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FFNB | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteFieldNormalBasis | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator getMultiplicationMatrix getMultiplicationTable inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? sizeMultiplication squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FF | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FiniteField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FARRAY | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FlexibleArray | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ExtensibleLinearAggregate OneDimensionalArrayAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat concat! construct convert copy copyInto! count delete delete! elt empty empty? entries entry? eq? every? fill! find first flexibleArray index? indices insert insert! less? map map! max maxIndex member? members merge merge! min minIndex more? new parts physicalLength physicalLength! position qelt qsetelt! reduce remove remove! removeDuplicates removeDuplicates! reverse reverse! select select! setelt shrinkable size? sort sort! sorted? swap! | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FLOAT | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Float | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo ConvertibleTo DifferentialRing FloatingPointSystem TranscendentalFunctionCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs acos acosh acot acoth acsc acsch asec asech asin asinh associates? atan atanh base bits ceiling characteristic coerce convert cos cosh cot coth csc csch decreasePrecision differentiate digits divide euclideanSize exp exp1 exponent expressIdealMember exquo extendedEuclidean factor float floor fractionPart gcd increasePrecision inv lcm log log10 log2 mantissa max min multiEuclidean negative? norm normalize nthRoot one? order outputFixed outputFloating outputGeneral outputSpacing patternMatch pi positive? precision prime? principalIdeal quo rationalApproximation recip relerror rem retract retractIfCan round sec sech shift sign sin sinh sizeLess? sqrt squareFree squareFreePart tan tanh truncate unit? unitCanonical unitNormal wholePart zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------+ | Abbreviation: | FRIDEAL | +-----------------+--------------------------------------------------------------------------------------------------------+ | Full name: | FractionalIdeal | +-----------------+--------------------------------------------------------------------------------------------------------+ | Belongs to: | Group | +-----------------+--------------------------------------------------------------------------------------------------------+ | Operations: | 1 * ^ / = basis coerce commutator conjugate denom ideal inv minimize norm numer one? randomLC recip | +-----------------+--------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FRAC | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Fraction | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs associates? ceiling characteristic charthRoot coerce conditionP convert denom denominator differentiate divide elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial floor fractionPart gcd gcdPolynomial init inv lcm map max min multiEuclidean negative? nextItem numer numerator one? patternMatch positive? prime? principalIdeal quo random recip reducedSystem rem retract retractIfCan sign sizeLess? solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial unit? unitCanonical unitNormal wholePart zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------+ | Abbreviation: | FRMOD | +-----------------+------------------------------------------------+ | Full name: | FramedModule | +-----------------+------------------------------------------------+ | Belongs to: | Monoid | +-----------------+------------------------------------------------+ | Operations: | 1 * ^ = basis coerce module norm one? recip | +-----------------+------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FAGROUP | +-----------------+----------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FreeAbelianGroup | +-----------------+----------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AbelianGroup FreeAbelianMonoidCategory Module OrderedSet | +-----------------+----------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - < = coefficient coerce highCommonTerms mapCoef mapGen max min nthCoef nthFactor retract retractIfCan size terms zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FAMONOID | +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Full name: | FreeAbelianMonoid | +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FreeAbelianMonoidCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - = coefficient coerce highCommonTerms mapCoef mapGen nthCoef nthFactor retract retractIfCan size terms zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FGROUP | +-----------------+------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FreeGroup | +-----------------+------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Group RetractableTo | +-----------------+------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 1 * ^ / = coerce commutator conjugate factors inv mapExpon mapGen nthExpon nthFactor one? recip retract retractIfCan size | +-----------------+------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------+ | Abbreviation: | FM | +-----------------+-----------------------------------------------------------------------------------+ | Full name: | FreeModule | +-----------------+-----------------------------------------------------------------------------------+ | Belongs to: | BiModule IndexedDirectProductCategory Module | +-----------------+-----------------------------------------------------------------------------------+ | Operations: | 0 * + - = coerce leadingCoefficient leadingSupport map monomial reductum zero? | +-----------------+-----------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FMONOID | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FreeMonoid | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Monoid OrderedSet RetractableTo | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 1 * ^ < = coerce divide factors hclf hcrf lquo mapExpon mapGen max min nthExpon nthFactor one? overlap recip retract retractIfCan rquo size | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | FNLA | +-----------------+------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | FreeNilpotentLie | +-----------------+------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | NonAssociativeAlgebra | +-----------------+------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * ^ + - = antiCommutator associator coerce commutator deepExpand dimension generator leftPower rightPower shallowExpand zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------+ | Abbreviation: | FUNCTION | +-----------------+------------------+ | Full name: | FunctionCalled | +-----------------+------------------+ | Belongs to: | SetCategory | +-----------------+------------------+ | Operations: | = coerce name | +-----------------+------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | GDMP | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | GeneralDistributedMultivariatePolynomial | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PolynomialCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP const content convert degree differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? prime? primitiveMonomials primitivePart recip reducedSystem reductum reorder resultant retract retractIfCan solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | GSTBL | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | GeneralSparseTable | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? map map! maxIndex member? members minIndex more? parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | GCNAALG | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | GenericNonAssociativeAlgebra | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FramedNonAssociativeAlgebra LeftModule | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * ^ + - = JacobiIdentity? JordanAlgebra? alternative? antiAssociative? antiCommutative? antiCommutator apply associative? associator associatorDependence basis coerce commutative? commutator conditionsForIdempotents convert coordinates elt flexible? generic genericLeftDiscriminant genericLeftMinimalPolynomial genericLeftNorm genericLeftTrace genericLeftTraceForm genericRightDiscriminant genericRightMinimalPolynomial genericRightNorm genericRightTrace genericRightTraceForm jordanAdmissible? leftAlternative? leftCharacteristicPolynomial leftDiscriminant leftMinimalPolynomial leftNorm leftPower leftRankPolynomial leftRecip leftRegularRepresentation leftTrace leftTraceMatrix leftUnit leftUnits lieAdmissible? lieAlgebra? noncommutativeJordanAlgebra? plenaryPower powerAssociative? rank recip represents rightAlternative? rightCharacteristicPolynomial rightDiscriminant rightMinimalPolynomial rightNorm rightPower rightRankPolynomial rightRecip rightRegularRepresentation rightTrace rightTraceMatrix rightUnit rightUnits someBasis structuralConstants unit zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------+ | Abbreviation: | GRIMAGE | +-----------------+-----------------------------------------------------------------------------------------------------------+ | Full name: | GraphImage | +-----------------+-----------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+-----------------------------------------------------------------------------------------------------------+ | Operations: | = appendPoint coerce component graphImage key makeGraphImage point pointLists putColorInfo ranges units | +-----------------+-----------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | HASHTBL | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | HashTable | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? map map! maxIndex member? members minIndex more? parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | HEAP | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Heap | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PriorityQueueAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce copy count empty empty? eq? every? extract! heap insert! inspect less? map map! max member? members merge merge! more? parts size? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | HEXADEC | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | HexadecimalExpansion | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs associates? ceiling characteristic coerce convert denom denominator differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor floor fractionPart gcd hex init inv lcm map max min multiEuclidean negative? nextItem numer numerator one? patternMatch positive? prime? principalIdeal quo random recip reducedSystem rem retract retractIfCan sign sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------+ | Abbreviation: | ICARD | +-----------------+----------------------------------------------+ | Full name: | IndexCard | +-----------------+----------------------------------------------+ | Belongs to: | OrderedSet | +-----------------+----------------------------------------------+ | Operations: | < = coerce display elt fullDisplay max min | +-----------------+----------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IBITS | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedBits | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | BitAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = And Not Or \\^{} and any? coerce concat construct convert copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? nand new nor not or parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! xor | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------+ | Abbreviation: | IDPAG | +-----------------+-----------------------------------------------------------------------------------+ | Full name: | IndexedDirectProductAbelianGroup | +-----------------+-----------------------------------------------------------------------------------+ | Belongs to: | AbelianGroup IndexedDirectProductCategory | +-----------------+-----------------------------------------------------------------------------------+ | Operations: | 0 * + - = coerce leadingCoefficient leadingSupport map monomial reductum zero? | +-----------------+-----------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------+ | Abbreviation: | IDPAM | +-----------------+---------------------------------------------------------------------------------+ | Full name: | IndexedDirectProductAbelianMonoid | +-----------------+---------------------------------------------------------------------------------+ | Belongs to: | AbelianMonoid IndexedDirectProductCategory | +-----------------+---------------------------------------------------------------------------------+ | Operations: | 0 * + = coerce leadingCoefficient leadingSupport map monomial reductum zero? | +-----------------+---------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------+ | Abbreviation: | IDPO | +-----------------+--------------------------------------------------------------------+ | Full name: | IndexedDirectProductObject | +-----------------+--------------------------------------------------------------------+ | Belongs to: | IndexedDirectProductCategory | +-----------------+--------------------------------------------------------------------+ | Operations: | = coerce leadingCoefficient leadingSupport map monomial reductum | +-----------------+--------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------+ | Abbreviation: | IDPOAMS | +-----------------+-------------------------------------------------------------------------------------------------+ | Full name: | IndexedDirectProductOrderedAbelianMonoidSup | +-----------------+-------------------------------------------------------------------------------------------------+ | Belongs to: | IndexedDirectProductCategory OrderedAbelianMonoidSup | +-----------------+-------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - < = coerce leadingCoefficient leadingSupport map max min monomial reductum sup zero? | +-----------------+-------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------+ | Abbreviation: | IDPOAM | +-----------------+-------------------------------------------------------------------------------------------+ | Full name: | IndexedDirectProductOrderedAbelianMonoid | +-----------------+-------------------------------------------------------------------------------------------+ | Belongs to: | IndexedDirectProductCategory OrderedAbelianMonoid | +-----------------+-------------------------------------------------------------------------------------------+ | Operations: | 0 * + < = coerce leadingCoefficient leadingSupport map max min monomial reductum zero? | +-----------------+-------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------+ | Abbreviation: | INDE | +-----------------+-------------------------------------------------------------------------------------------------+ | Full name: | IndexedExponents | +-----------------+-------------------------------------------------------------------------------------------------+ | Belongs to: | IndexedDirectProductCategory OrderedAbelianMonoidSup | +-----------------+-------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - < = coerce leadingCoefficient leadingSupport map max min monomial reductum sup zero? | +-----------------+-------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IFARRAY | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedFlexibleArray | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ExtensibleLinearAggregate OneDimensionalArrayAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat concat! construct convert copy copyInto! count delete delete! elt empty empty? entries entry? eq? every? fill! find first flexibleArray index? indices insert insert! less? map map! max maxIndex member? members merge merge! min minIndex more? new parts physicalLength physicalLength! position qelt qsetelt! reduce remove remove! removeDuplicates removeDuplicates! reverse reverse! select select! setelt shrinkable size? sort sort! sorted? swap! | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ILIST | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedList | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ListAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? child? children coerce concat concat! construct convert copy copyInto! count cycleEntry cycleLength cycleSplit! cycleTail cyclic? delete delete! distance elt empty empty? entries entry? eq? every? explicitlyFinite? fill! find first index? indices insert insert! last leaf? less? list map map! max maxIndex member? members merge merge! min minIndex more? new node? nodes parts position possiblyInfinite? qelt qsetelt! reduce remove remove! removeDuplicates removeDuplicates! rest reverse reverse! second select select! setchildren! setelt setfirst! setlast! setrest! setvalue! size? sort sort! sorted? split! swap! tail third value | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IMATRIX | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedMatrix | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MatrixCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # * ^ + - / = antisymmetric? any? coerce column copy count determinant diagonal? diagonalMatrix elt empty empty? eq? every? exquo fill! horizConcat inverse less? listOfLists map map! matrix maxColIndex maxRowIndex member? members minColIndex minRowIndex minordet more? ncols new nrows nullSpace nullity parts qelt qsetelt! rank row rowEchelon scalarMatrix setColumn! setRow! setelt setsubMatrix! size? square? squareTop subMatrix swapColumns! swapRows! symmetric? transpose vertConcat zero | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IARRAY1 | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedOneDimensionalArray | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | OneDimensionalArrayAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat construct convert copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? new parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ISTRING | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedString | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | StringAggregate | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat construct copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first hash index? indices insert leftTrim less? lowerCase lowerCase! map map! match? max maxIndex member? members merge min minIndex more? new parts position prefix? qelt qsetelt! reduce remove removeDuplicates replace reverse reverse! rightTrim select setelt size? sort sort! sorted? split substring? suffix? swap! trim upperCase upperCase! | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IARRAY2 | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedTwoDimensionalArray | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TwoDimensionalArrayCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? coerce column copy count elt empty empty? eq? every? fill! less? map map! maxColIndex maxRowIndex member? members minColIndex minRowIndex more? ncols new nrows parts qelt qsetelt! row setColumn! setRow! setelt size? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IVECTOR | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | IndexedVector | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | VectorCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # * + - < = any? coerce concat construct convert copy copyInto! count delete dot elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? new parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! zero | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------+ | Abbreviation: | ITUPLE | +-----------------+----------------------------------------------------------------+ | Full name: | InfiniteTuple | +-----------------+----------------------------------------------------------------+ | Belongs to: | CoercibleTo | +-----------------+----------------------------------------------------------------+ | Operations: | coerce construct filterUntil filterWhile generate map select | +-----------------+----------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IFF | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | InnerFiniteField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAlgebraicExtensionField | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IFAMON | +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Full name: | InnerFreeAbelianMonoid | +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FreeAbelianMonoidCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - = coefficient coerce highCommonTerms mapCoef mapGen nthCoef nthFactor retract retractIfCan size terms zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IIARRAY2 | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | InnerIndexedTwoDimensionalArray | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TwoDimensionalArrayCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? coerce column copy count elt empty empty? eq? every? fill! less? map map! maxColIndex maxRowIndex member? members minColIndex minRowIndex more? ncols new nrows parts qelt qsetelt! row setColumn! setRow! setelt size? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IPADIC | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | InnerPAdicInteger | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PAdicIntegerCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = approximate associates? characteristic coerce complete digits divide euclideanSize expressIdealMember exquo extend extendedEuclidean gcd lcm moduloP modulus multiEuclidean one? order principalIdeal quo quotientByP recip rem sizeLess? sqrt unit? unitCanonical unitNormal zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IPF | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | InnerPrimeField | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo FiniteAlgebraicExtensionField FiniteFieldCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP convert coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ITAYLOR | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | InnerTaylorSeries | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | IntegralDomain Ring | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = associates? characteristic coefficients coerce exquo one? order pole? recip series unit? unitCanonical unitNormal zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | INFORM | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | InputForm | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo SExpressionCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + / = atom? binary car cdr coerce compile convert declare destruct elt eq expr flatten float float? function integer integer? interpret lambda list? null? pair? string string? symbol symbol? uequal unparse | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------+ | Abbreviation: | ZMOD | +-----------------+--------------------------------------------------------------------------------------------------------+ | Full name: | IntegerMod | +-----------------+--------------------------------------------------------------------------------------------------------+ | Belongs to: | CommutativeRing ConvertibleTo Finite StepThrough | +-----------------+--------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = characteristic coerce convert index init lookup nextItem one? random recip size zero? | +-----------------+--------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | INT | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Integer | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo IntegerNumberSystem | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = D abs addmod associates? base binomial bit? characteristic coerce convert copy dec differentiate divide euclideanSize even? expressIdealMember exquo extendedEuclidean factor factorial gcd hash inc init invmod lcm length mask max min mulmod multiEuclidean negative? nextItem odd? one? patternMatch permutation positive? positiveRemainder powmod prime? principalIdeal quo random rational rational? rationalIfCan recip reducedSystem rem retract retractIfCan shift sign sizeLess? squareFree squareFreePart submod symmetricRemainder unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IR | +-----------------+----------------------------------------------------------------------------------------------------------------+ | Full name: | IntegrationResult | +-----------------+----------------------------------------------------------------------------------------------------------------+ | Belongs to: | Module RetractableTo | +-----------------+----------------------------------------------------------------------------------------------------------------+ | Operations: | 0 * + - = D coerce differentiate elem? integral logpart mkAnswer notelem ratpart retract retractIfCan zero? | +-----------------+----------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------+ | Abbreviation: | KERNEL | +-----------------+--------------------------------------------------------------------------------------------------------+ | Full name: | Kernel | +-----------------+--------------------------------------------------------------------------------------------------------+ | Belongs to: | CachableSet ConvertibleTo Patternable | +-----------------+--------------------------------------------------------------------------------------------------------+ | Operations: | < = argument coerce convert height is? kernel max min name operator position setPosition symbolIfCan | +-----------------+--------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | KAFILE | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | KeyedAccessFile | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FileCategory TableAggregate | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag close! coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect iomode key? keys less? map map! maxIndex member? members minIndex more? name open pack! parts qelt qsetelt! read! reduce remove remove! removeDuplicates reopen! search select select! setelt size? swap! table write! | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LAUPOL | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | LaurentPolynomial | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CharacteristicNonZero CharacteristicZero ConvertibleTo DifferentialExtension EuclideanDomain FullyRetractableTo IntegralDomain RetractableTo | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = D associates? characteristic charthRoot coefficient coerce convert degree differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean gcd lcm leadingCoefficient monomial monomial? multiEuclidean one? order principalIdeal quo recip reductum rem retract retractIfCan separate sizeLess? trailingCoefficient unit? unitCanonical unitNormal zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LIB | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Library | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? library map map! maxIndex member? members minIndex more? pack! parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LSQM | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | LieSquareMatrix | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo FramedNonAssociativeAlgebra SquareMatrixCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / = D JacobiIdentity? JordanAlgebra? alternative? antiAssociative? antiCommutative? antiCommutator antisymmetric? any? apply associative? associator associatorDependence basis characteristic coerce column commutative? commutator conditionsForIdempotents convert coordinates copy count determinant diagonal diagonal? diagonalMatrix diagonalProduct differentiate elt empty empty? eq? every? exquo flexible? inverse jordanAdmissible? leftAlternative? leftCharacteristicPolynomial leftDiscriminant leftMinimalPolynomial leftNorm leftPower leftRankPolynomial leftRecip leftRegularRepresentation leftTrace leftTraceMatrix leftUnit leftUnits less? lieAdmissible? lieAlgebra? listOfLists map map! matrix maxColIndex maxRowIndex member? members minColIndex minRowIndex minordet more? ncols noncommutativeJordanAlgebra? nrows nullSpace nullity one? parts plenaryPower powerAssociative? qelt rank recip reducedSystem represents retract retractIfCan rightAlternative? rightCharacteristicPolynomial rightDiscriminant rightMinimalPolynomial rightNorm rightPower rightRankPolynomial rightRecip rightRegularRepresentation rightTrace rightTraceMatrix rightUnit rightUnits row rowEchelon scalarMatrix size? someBasis square? structuralConstants symmetric? trace unit zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LODO | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | LinearOrdinaryDifferentialOperator | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MonogenicLinearOperator | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = D characteristic coefficient coerce degree elt leadingCoefficient leftDivide leftExactQuotient leftGcd leftLcm leftQuotient leftRemainder minimumDegree monomial one? recip reductum rightDivide rightExactQuotient rightGcd rightLcm rightQuotient rightRemainder zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LMOPS | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ListMonoidOps | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | RetractableTo SetCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | = coerce leftMult listOfMonoms makeMulti makeTerm makeUnit mapExpon mapGen nthExpon nthFactor outputForm plus retract retractIfCan reverse reverse! rightMult size | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LMDICT | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ListMultiDictionary | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MultiDictionary | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct convert copy count dictionary duplicates duplicates? empty empty? eq? every? extract! find insert! inspect less? map map! member? members more? parts reduce remove remove! removeDuplicates removeDuplicates! select select! size? substitute | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LIST | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | List | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ListAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? append child? children coerce concat concat! cons construct convert copy copyInto! count cycleEntry cycleLength cycleSplit! cycleTail cyclic? delete delete! distance elt empty empty? entries entry? eq? every? explicitlyFinite? fill! find first index? indices insert insert! last leaf? less? list map map! max maxIndex member? members merge merge! min minIndex more? new nil node? nodes null parts position possiblyInfinite? qelt qsetelt! reduce remove remove! removeDuplicates removeDuplicates! rest reverse reverse! second select select! setDifference setIntersection setUnion setchildren! setelt setfirst! setlast! setrest! setvalue! size? sort sort! sorted? split! swap! tail third value | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------+ | Abbreviation: | LA | +-----------------+--------------------------------------------------------------------------------------------------------------+ | Full name: | LocalAlgebra | +-----------------+--------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra OrderedRing | +-----------------+--------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = abs characteristic coerce denom max min negative? numer one? positive? recip sign zero? | +-----------------+--------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------+ | Abbreviation: | LO | +-----------------+---------------------------------------------------+ | Full name: | Localize | +-----------------+---------------------------------------------------+ | Belongs to: | Module OrderedAbelianGroup | +-----------------+---------------------------------------------------+ | Operations: | 0 * + - / < = coerce denom max min numer zero? | +-----------------+---------------------------------------------------+ +-----------------+-------------------------------------------+ | Abbreviation: | MKCHSET | +-----------------+-------------------------------------------+ | Full name: | MakeCachableSet | +-----------------+-------------------------------------------+ | Belongs to: | CachableSet CoercibleTo | +-----------------+-------------------------------------------+ | Operations: | < = coerce max min position setPosition | +-----------------+-------------------------------------------+ +-----------------+-------------------------------------------------------------------------+ | Abbreviation: | MKODRING | +-----------------+-------------------------------------------------------------------------+ | Full name: | MakeOrdinaryDifferentialRing | +-----------------+-------------------------------------------------------------------------+ | Belongs to: | CoercibleTo DifferentialRing | +-----------------+-------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = D characteristic coerce differentiate one? recip zero? | +-----------------+-------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | MATRIX | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Matrix | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MatrixCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # * ^ + - / = antisymmetric? any? coerce column copy count determinant diagonal? diagonalMatrix elt empty empty? eq? every? exquo fill! horizConcat inverse less? listOfLists map map! matrix maxColIndex maxRowIndex member? members minColIndex minRowIndex minordet more? ncols new nrows nullSpace nullity parts qelt qsetelt! rank row rowEchelon scalarMatrix setColumn! setRow! setelt setsubMatrix! size? square? squareTop subMatrix swapColumns! swapRows! symmetric? transpose vertConcat zero | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | MODMON | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ModMonic | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Finite UnivariatePolynomialCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = An D UnVectorise Vectorise associates? characteristic charthRoot coefficient coefficients coerce composite computePowers conditionP content degree differentiate discriminant divide divideExponents elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? index init integrate isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial lift lookup mainVariable makeSUP map mapExponents max min minimumDegree modulus monicDivide monomial monomial? monomials multiEuclidean multiplyExponents multivariate nextItem numberOfMonomials one? order pow prime? primitiveMonomials primitivePart principalIdeal pseudoDivide pseudoQuotient pseudoRemainder quo random recip reduce reducedSystem reductum rem resultant retract retractIfCan separate setPoly size sizeLess? solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial subResultantGcd totalDegree unit? unitCanonical unitNormal univariate unmakeSUP variables vectorise zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | MODFIELD | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ModularField | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Field | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = associates? characteristic coerce divide euclideanSize exQuo expressIdealMember exquo extendedEuclidean factor gcd inv lcm modulus multiEuclidean one? prime? principalIdeal quo recip reduce rem sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------+ | Abbreviation: | MODRING | +-----------------+----------------------------------------------------------------------------------+ | Full name: | ModularRing | +-----------------+----------------------------------------------------------------------------------+ | Belongs to: | Ring | +-----------------+----------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = characteristic coerce exQuo inv modulus one? recip reduce zero? | +-----------------+----------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------+ | Abbreviation: | MOEBIUS | +-----------------+----------------------------------------------------------------------------------+ | Full name: | MoebiusTransform | +-----------------+----------------------------------------------------------------------------------+ | Belongs to: | Group | +-----------------+----------------------------------------------------------------------------------+ | Operations: | 1 * ^ / = coerce commutator conjugate eval inv moebius one? recip scale shift | +-----------------+----------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | MRING | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | MonoidRing | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra CharacteristicNonZero CharacteristicZero Finite RetractableTo Ring | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = characteristic charthRoot coefficient coefficients coerce index leadingCoefficient leadingMonomial lookup map monomial monomial? monomials numberOfMonomials one? random recip reductum retract retractIfCan size terms zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | MSET | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Multiset | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MultiSetAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? bag brace coerce construct convert copy count dictionary difference duplicates empty empty? eq? every? extract! find insert! inspect intersect less? map map! member? members more? multiset parts reduce remove remove! removeDuplicates removeDuplicates! select select! size? subset? symmetricDifference union | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | MPOLY | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | MultivariatePolynomial | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PolynomialCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP content convert degree differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? prime? primitiveMonomials primitivePart recip reducedSystem reductum resultant retract retractIfCan solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | NDP | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | NewDirectProduct | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DirectProductCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / < = D abs any? characteristic coerce copy count differentiate dimension directProduct dot elt empty empty? entries entry? eq? every? fill! first index index? indices less? lookup map map! max maxIndex member? members min minIndex more? negative? one? parts positive? qelt qsetelt! random recip reducedSystem retract retractIfCan setelt sign size size? sup swap! unitVector zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | NDMP | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | NewDistributedMultivariatePolynomial | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PolynomialCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP const content convert degree differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? prime? primitiveMonomials primitivePart recip reducedSystem reductum reorder resultant retract retractIfCan solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------+ | Abbreviation: | NONE | +-----------------+---------------+ | Full name: | None | +-----------------+---------------+ | Belongs to: | SetCategory | +-----------------+---------------+ | Operations: | = coerce | +-----------------+---------------+ +-----------------+---------------------------------------------------------------------------------+ | Abbreviation: | NNI | +-----------------+---------------------------------------------------------------------------------+ | Full name: | NonNegativeInteger | +-----------------+---------------------------------------------------------------------------------+ | Belongs to: | Monoid OrderedAbelianMonoidSup | +-----------------+---------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = coerce divide exquo gcd max min one? quo recip rem sup zero? | +-----------------+---------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | OCT | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Octonion | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FullyRetractableTo OctonionCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = abs characteristic charthRoot coerce conjugate convert elt eval imagE imagI imagJ imagK imagi imagj imagk index inv lookup map max min norm octon one? random rational rational? rationalIfCan real recip retract retractIfCan size zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ARRAY1 | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OneDimensionalArray | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | OneDimensionalArrayAggregate | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat construct convert copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? new oneDimensionalArray parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ONECOMP | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OnePointCompletion | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AbelianGroup FullyRetractableTo OrderedRing SetCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = abs characteristic coerce finite? infinite? infinity max min negative? one? positive? rational rational? rationalIfCan recip retract retractIfCan sign zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------+ | Abbreviation: | OP | +-----------------+-------------------------------------------------------------------------------------------------------------+ | Full name: | Operator | +-----------------+-------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra CharacteristicNonZero CharacteristicZero Eltable RetractableTo Ring | +-----------------+-------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = characteristic charthRoot coerce elt evaluate one? opeval recip retract retractIfCan zero? | +-----------------+-------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | OMLO | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OppositeMonogenicLinearOperator | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DifferentialRing MonogenicLinearOperator | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = D characteristic coefficient coerce degree differentiate leadingCoefficient minimumDegree monomial one? op po recip reductum zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ORDCOMP | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OrderedCompletion | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AbelianGroup FullyRetractableTo OrderedRing SetCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = abs characteristic coerce finite? infinite? max min minusInfinity negative? one? plusInfinity positive? rational rational? rationalIfCan recip retract retractIfCan sign whatInfinity zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ODP | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OrderedDirectProduct | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DirectProductCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / < = D abs any? characteristic coerce copy count differentiate dimension directProduct dot elt empty empty? entries entry? eq? every? fill! first index index? indices less? lookup map map! max maxIndex member? members min minIndex more? negative? one? parts positive? qelt qsetelt! random recip reducedSystem retract retractIfCan setelt sign size size? sup swap! unitVector zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------+ | Abbreviation: | OVAR | +-----------------+----------------------------------------------------------------+ | Full name: | OrderedVariableList | +-----------------+----------------------------------------------------------------+ | Belongs to: | ConvertibleTo OrderedFinite | +-----------------+----------------------------------------------------------------+ | Operations: | < = coerce convert index lookup max min random size variable | +-----------------+----------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ODPOL | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OrderlyDifferentialPolynomial | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DifferentialPolynomialCategory RetractableTo | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP content degree differentialVariables differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? initial isExpt isPlus isTimes isobaric? lcm leader leadingCoefficient leadingMonomial mainVariable makeVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? order prime? primitiveMonomials primitivePart recip reducedSystem reductum resultant retract retractIfCan separant solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables weight weights zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------+ | Abbreviation: | ODVAR | +-----------------+----------------------------------------------------------------------------------------------+ | Full name: | OrderlyDifferentialVariable | +-----------------+----------------------------------------------------------------------------------------------+ | Belongs to: | DifferentialVariableCategory | +-----------------+----------------------------------------------------------------------------------------------+ | Operations: | < = D coerce differentiate makeVariable max min order retract retractIfCan variable weight | +-----------------+----------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ODR | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OrdinaryDifferentialRing | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra DifferentialRing Field | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D associates? characteristic coerce differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor gcd inv lcm multiEuclidean one? prime? principalIdeal quo recip rem sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------+ | Abbreviation: | OSI | +-----------------+----------------------------+ | Full name: | OrdSetInts | +-----------------+----------------------------+ | Belongs to: | OrderedSet | +-----------------+----------------------------+ | Operations: | < = coerce max min value | +-----------------+----------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | OUTFORM | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | OutputForm | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | * ^ + - / < <= = > >= D SEGMENT \\^{}= and assign blankSeparate box brace bracket center coerce commaSeparate differentiate div dot elt empty exquo hconcat height hspace infix infix? int label left matrix message messagePrint not or outputForm over overbar paren pile postfix prefix presub presuper prime print prod quo quote rarrow rem right root rspace scripts semicolonSeparate slash string sub subHeight sum super superHeight supersub vconcat vspace width zag | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PADIC | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PAdicInteger | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PAdicIntegerCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - = approximate associates? characteristic coerce complete digits divide euclideanSize expressIdealMember exquo extend extendedEuclidean gcd lcm moduloP modulus multiEuclidean one? order principalIdeal quo quotientByP recip rem sizeLess? sqrt unit? unitCanonical unitNormal zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PADICRC | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PAdicRationalConstructor | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs approximate associates? ceiling characteristic charthRoot coerce conditionP continuedFraction convert denom denominator differentiate divide elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial floor fractionPart gcd gcdPolynomial init inv lcm map max min multiEuclidean negative? nextItem numer numerator one? patternMatch positive? prime? principalIdeal quo random recip reducedSystem rem removeZeroes retract retractIfCan sign sizeLess? solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial unit? unitCanonical unitNormal wholePart zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PADICRAT | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PAdicRational | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D approximate associates? characteristic coerce continuedFraction denom denominator differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor fractionPart gcd inv lcm map multiEuclidean numer numerator one? prime? principalIdeal quo recip reducedSystem rem removeZeroes retract retractIfCan sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------+ | Abbreviation: | PALETTE | +-----------------+---------------------------------------------------+ | Full name: | Palette | +-----------------+---------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+---------------------------------------------------+ | Operations: | = bright coerce dark dim hue light pastel shade | +-----------------+---------------------------------------------------+ +--------------------------------------+--------------------------------------+ | Abbreviation: | PARPCURV | +--------------------------------------+--------------------------------------+ | Full name: | ParametricPlaneCurve | +--------------------------------------+--------------------------------------+ | Belongs to: | | +--------------------------------------+--------------------------------------+ | Operations: | coordinate curve | +--------------------------------------+--------------------------------------+ +--------------------------------------+--------------------------------------+ | Abbreviation: | PARSCURV | +--------------------------------------+--------------------------------------+ | Full name: | ParametricSpaceCurve | +--------------------------------------+--------------------------------------+ | Belongs to: | | +--------------------------------------+--------------------------------------+ | Operations: | coordinate curve | +--------------------------------------+--------------------------------------+ +--------------------------------------+--------------------------------------+ | Abbreviation: | PARSURF | +--------------------------------------+--------------------------------------+ | Full name: | ParametricSurface | +--------------------------------------+--------------------------------------+ | Belongs to: | | +--------------------------------------+--------------------------------------+ | Operations: | coordinate surface | +--------------------------------------+--------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PFR | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PartialFraction | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | Algebra Field | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = associates? characteristic coerce compactFraction divide euclideanSize expressIdealMember exquo extendedEuclidean factor firstDenom firstNumer gcd inv lcm multiEuclidean nthFractionalTerm numberOfFractionalTerms one? padicFraction padicallyExpand partialFraction prime? principalIdeal quo recip rem sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------+ | Abbreviation: | PRTITION | +-----------------+-----------------------------------------------------------------------------+ | Full name: | Partition | +-----------------+-----------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo OrderedCancellationAbelianMonoid | +-----------------+-----------------------------------------------------------------------------+ | Operations: | 0 * + - < = coerce conjugate convert max min partition pdct powers zero? | +-----------------+-----------------------------------------------------------------------------+ +-----------------+------------------------------------------------------+ | Abbreviation: | PATLRES | +-----------------+------------------------------------------------------+ | Full name: | PatternMatchListResult | +-----------------+------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------------+ | Operations: | = atoms coerce failed failed? lists makeResult new | +-----------------+------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PATRES | +-----------------+------------------------------------------------------------------------------------------------------------------+ | Full name: | PatternMatchResult | +-----------------+------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------------------------------------------------------------------------+ | Operations: | = addMatch addMatchRestricted coerce construct destruct failed failed? getMatch insertMatch new satisfy? union | +-----------------+------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PATTERN | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Pattern | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | RetractableTo SetCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + / = addBadValue coerce constant? convert copy depth elt generic? getBadValues hasPredicate? hasTopPredicate? inR? isExpt isList isOp isPlus isPower isQuotient isTimes multiple? optional? optpair patternVariable predicates quoted? resetBadValues retract retractIfCan setPredicates setTopPredicate symbol? topPredicate variables withPredicates | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PENDTREE | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PendantTree | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | BinaryRecursiveAggregate | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? children coerce copy count cyclic? elt empty empty? eq? every? leaf? leaves left less? map map! member? members more? node? nodes parts ptree right setchildren! setelt setleft! setright! setvalue! size? value | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PERMGRP | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PermutationGroup | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | < <= = base coerce degree elt generators initializeGroupForWordProblem member? movedPoints orbit orbits order permutationGroup random strongGenerators wordInGenerators wordInStrongGenerators wordsForStrongGenerators | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PERM | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Permutation | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PermutationCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 1 * ^ / < = coerce coerceImages coerceListOfPairs coercePreimagesImages commutator conjugate cycle cyclePartition cycles degree elt eval even? fixedPoints inv listRepresentation max min movedPoints numberOfCycles odd? one? orbit order recip sign sort | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | HACKPI | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Pi | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CharacteristicZero CoercibleTo ConvertibleTo Field RealConstant RetractableTo | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = associates? characteristic coerce convert divide euclideanSize expressIdealMember exquo extendedEuclidean factor gcd inv lcm multiEuclidean one? pi prime? principalIdeal quo recip rem retract retractIfCan sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------+ | Abbreviation: | ACPLOT | +-----------------+-------------------------------------------------------+ | Full name: | PlaneAlgebraicCurvePlot | +-----------------+-------------------------------------------------------+ | Belongs to: | PlottablePlaneCurveCategory | +-----------------+-------------------------------------------------------+ | Operations: | coerce listBranches makeSketch refine xRange yRange | +-----------------+-------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PLOT3D | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Plot3D | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PlottableSpaceCurveCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | adaptive3D? coerce debug3D listBranches maxPoints3D minPoints3D numFunEvals3D plot pointPlot refine screenResolution3D setAdaptive3D setMaxPoints3D setMinPoints3D setScreenResolution3D tRange tValues xRange yRange zRange zoom | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PLOT | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Plot | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PlottablePlaneCurveCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | adaptive? coerce debug listBranches maxPoints minPoints numFunEvals parametric? plot plotPolar pointPlot refine screenResolution setAdaptive setMaxPoints setMinPoints setScreenResolution tRange xRange yRange zoom | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | POINT | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Point | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PointCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # * + - < = any? coerce concat construct convert copy copyInto! count cross delete dimension dot elt empty empty? entries entry? eq? every? extend fill! find first index? indices insert length less? map map! max maxIndex member? members merge min minIndex more? new parts point position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! zero | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | IDEAL | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PolynomialIdeals | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | * ^ + = backOldPos coerce contract dimension element? generalPosition generators groebner groebner? groebnerIdeal ideal in? inRadical? intersect leadingIdeal quotient relationsIdeal saturate zeroDim? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PR | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PolynomialRing | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAbelianMonoidRing | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = associates? characteristic charthRoot coefficient coefficients coerce content degree exquo ground ground? leadingCoefficient leadingMonomial map mapExponents minimumDegree monomial monomial? numberOfMonomials one? primitivePart recip reductum retract retractIfCan unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | POLY | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Polynomial | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PolynomialCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP content convert degree differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? integrate isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? patternMatch prime? primitiveMonomials primitivePart recip reducedSystem reductum resultant retract retractIfCan solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------+ | Abbreviation: | PI | +-----------------+----------------------------------------------+ | Full name: | PositiveInteger | +-----------------+----------------------------------------------+ | Belongs to: | AbelianSemiGroup Monoid OrderedSet | +-----------------+----------------------------------------------+ | Operations: | 1 * ^ + < = coerce gcd max min one? recip | +-----------------+----------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PF | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PrimeField | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo FiniteAlgebraicExtensionField FiniteFieldCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = Frobenius algebraic? associates? basis characteristic charthRoot coerce conditionP convert coordinates createNormalElement createPrimitiveElement definingPolynomial degree dimension discreteLog divide euclideanSize expressIdealMember exquo extendedEuclidean extensionDegree factor factorsOfCyclicGroupSize gcd generator inGroundField? index init inv lcm lookup minimalPolynomial multiEuclidean nextItem norm normal? normalElement one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random recip rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace transcendenceDegree transcendent? unit? unitCanonical unitNormal zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PRIMARR | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | PrimitiveArray | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | OneDimensionalArrayAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat construct convert copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? new parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | PRODUCT | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Product | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | AbelianGroup AbelianMonoid CancellationAbelianMonoid Finite Group Monoid OrderedAbelianMonoidSup OrderedSet SetCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = coerce commutator conjugate index inv lookup makeprod max min one? random recip selectfirst selectsecond size sup zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------+ | Abbreviation: | QFORM | +-----------------+----------------------------------------------------+ | Full name: | QuadraticForm | +-----------------+----------------------------------------------------+ | Belongs to: | AbelianGroup | +-----------------+----------------------------------------------------+ | Operations: | 0 * + - = coerce elt matrix quadraticForm zero? | +-----------------+----------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------+ | Abbreviation: | QALGSET | +-----------------+-----------------------------------------------------------------------------------------------------------+ | Full name: | QuasiAlgebraicSet | +-----------------+-----------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo SetCategory | +-----------------+-----------------------------------------------------------------------------------------------------------+ | Operations: | = coerce definingEquations definingInequation empty? idealSimplify quasiAlgebraicSet setStatus simplify | +-----------------+-----------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | QUAT | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Quaternion | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuaternionCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = D abs characteristic charthRoot coerce conjugate convert differentiate elt eval imagI imagJ imagK inv map max min norm one? quatern rational rational? rationalIfCan real recip reducedSystem retract retractIfCan zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +--------------------------------------+--------------------------------------+ | Abbreviation: | QEQUAT | +--------------------------------------+--------------------------------------+ | Full name: | QueryEquation | +--------------------------------------+--------------------------------------+ | Belongs to: | | +--------------------------------------+--------------------------------------+ | Operations: | equation value variable | +--------------------------------------+--------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | QUEUE | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Queue | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QueueAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? back bag coerce copy count dequeue! empty empty? enqueue! eq? every? extract! front insert! inspect length less? map map! member? members more? parts queue rotate! size? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | RADFF | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | RadicalFunctionField | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FunctionFieldCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D absolutelyIrreducible? associates? basis branchPoint? branchPointAtInfinity? characteristic characteristicPolynomial charthRoot coerce complementaryBasis convert coordinates definingPolynomial derivationCoordinates differentiate discriminant divide elt euclideanSize expressIdealMember exquo extendedEuclidean factor gcd generator genus integral? integralAtInfinity? integralBasis integralBasisAtInfinity integralCoordinates integralDerivationMatrix integralMatrix integralMatrixAtInfinity integralRepresents inv inverseIntegralMatrix inverseIntegralMatrixAtInfinity lcm lift minimalPolynomial multiEuclidean nonSingularModel norm normalizeAtInfinity numberOfComponents one? prime? primitivePart principalIdeal quo ramified? ramifiedAtInfinity? rank rationalPoint? rationalPoints recip reduce reduceBasisAtInfinity reducedSystem regularRepresentation rem represents retract retractIfCan singular? singularAtInfinity? sizeLess? squareFree squareFreePart trace traceMatrix unit? unitCanonical unitNormal yCoordinates zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | RADIX | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | RadixExpansion | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | QuotientFieldCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs associates? ceiling characteristic coerce convert cycleRagits denom denominator differentiate divide euclideanSize expressIdealMember exquo extendedEuclidean factor floor fractRadix fractRagits fractionPart gcd init inv lcm map max min multiEuclidean negative? nextItem numer numerator one? patternMatch positive? prefixRagits prime? principalIdeal quo random recip reducedSystem rem retract retractIfCan sign sizeLess? squareFree squareFreePart unit? unitCanonical unitNormal wholePart wholeRadix wholeRagits zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | RMATRIX | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | RectangularMatrix | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo RectangularMatrixCategory VectorSpace | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 # * + - / = antisymmetric? any? coerce column copy count diagonal? dimension elt empty empty? eq? every? exquo less? listOfLists map map! matrix maxColIndex maxRowIndex member? members minColIndex minRowIndex more? ncols nrows nullSpace nullity parts qelt rank rectangularMatrix row rowEchelon size? square? symmetric? zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------+ | Abbreviation: | REF | +-----------------+----------------------------------------+ | Full name: | Reference | +-----------------+----------------------------------------+ | Belongs to: | Object SetCategory | +-----------------+----------------------------------------+ | Operations: | = coerce deref elt ref setelt setref | +-----------------+----------------------------------------+ +-----------------+-----------------------------------------------------------------------------------+ | Abbreviation: | RULE | +-----------------+-----------------------------------------------------------------------------------+ | Full name: | RewriteRule | +-----------------+-----------------------------------------------------------------------------------+ | Belongs to: | Eltable RetractableTo SetCategory | +-----------------+-----------------------------------------------------------------------------------+ | Operations: | = coerce elt lhs pattern quotedOperators retract retractIfCan rhs rule suchThat | +-----------------+-----------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ROMAN | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | RomanNumeral | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | IntegerNumberSystem | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = D abs addmod associates? base binomial bit? characteristic coerce convert copy dec differentiate divide euclideanSize even? expressIdealMember exquo extendedEuclidean factor factorial gcd hash inc init invmod lcm length mask max min mulmod multiEuclidean negative? nextItem odd? one? patternMatch permutation positive? positiveRemainder powmod prime? principalIdeal quo random rational rational? rationalIfCan recip reducedSystem rem retract retractIfCan roman shift sign sizeLess? squareFree squareFreePart submod symmetricRemainder unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------+ | Abbreviation: | RULECOLD | +-----------------+-----------------+ | Full name: | RuleCalled | +-----------------+-----------------+ | Belongs to: | SetCategory | +-----------------+-----------------+ | Operations: | = coerce name | +-----------------+-----------------+ +-----------------+------------------------------+ | Abbreviation: | RULESET | +-----------------+------------------------------+ | Full name: | Ruleset | +-----------------+------------------------------+ | Belongs to: | Eltable SetCategory | +-----------------+------------------------------+ | Operations: | = coerce elt rules ruleset | +-----------------+------------------------------+ +-----------------+------------------------+ | Abbreviation: | FORMULA1 | +-----------------+------------------------+ | Full name: | ScriptFormulaFormat1 | +-----------------+------------------------+ | Belongs to: | Object | +-----------------+------------------------+ | Operations: | coerce | +-----------------+------------------------+ +-----------------+------------------------------------------------------------------------------------------------+ | Abbreviation: | FORMULA | +-----------------+------------------------------------------------------------------------------------------------+ | Full name: | ScriptFormulaFormat | +-----------------+------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------------------------------------------------------+ | Operations: | = coerce convert display epilogue formula new prologue setEpilogue! setFormula! setPrologue! | +-----------------+------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------+ | Abbreviation: | SEGBIND | +-----------------+--------------------------------------+ | Full name: | SegmentBinding | +-----------------+--------------------------------------+ | Belongs to: | SetCategory | +-----------------+--------------------------------------+ | Operations: | = coerce equation segment variable | +-----------------+--------------------------------------+ +-----------------+----------------------------------------------------------------------+ | Abbreviation: | SEG | +-----------------+----------------------------------------------------------------------+ | Full name: | Segment | +-----------------+----------------------------------------------------------------------+ | Belongs to: | SegmentCategory SegmentExpansionCategory | +-----------------+----------------------------------------------------------------------+ | Operations: | = BY SEGMENT coerce convert expand hi high incr lo low map segment | +-----------------+----------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SCFRAC | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SemiCancelledFraction | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo QuotientFieldCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs associates? ceiling characteristic charthRoot coerce conditionP convert denom denominator differentiate divide elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial floor fractionPart gcd gcdPolynomial init inv lcm map max min multiEuclidean negative? nextItem normalize numer numerator one? patternMatch positive? prime? principalIdeal quo random recip reducedSystem rem retract retractIfCan sign sizeLess? solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial unit? unitCanonical unitNormal wholePart zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SDPOL | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SequentialDifferentialPolynomial | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | DifferentialPolynomialCategory RetractableTo | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP content degree differentialVariables differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? initial isExpt isPlus isTimes isobaric? lcm leader leadingCoefficient leadingMonomial mainVariable makeVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? order prime? primitiveMonomials primitivePart recip reducedSystem reductum resultant retract retractIfCan separant solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables weight weights zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------+ | Abbreviation: | SDVAR | +-----------------+----------------------------------------------------------------------------------------------+ | Full name: | SequentialDifferentialVariable | +-----------------+----------------------------------------------------------------------------------------------+ | Belongs to: | DifferentialVariableCategory | +-----------------+----------------------------------------------------------------------------------------------+ | Operations: | < = D coerce differentiate makeVariable max min order retract retractIfCan variable weight | +-----------------+----------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SET | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Set | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteSetAggregate | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? bag brace cardinality coerce complement construct convert copy count dictionary difference empty empty? eq? every? extract! find index insert! inspect intersect less? lookup map map! max member? members min more? parts random reduce remove remove! removeDuplicates select select! size size? subset? symmetricDifference union universe | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SEXOF | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SExpressionOf | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SExpressionCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = atom? car cdr coerce convert destruct elt eq expr float float? integer integer? list? null? pair? string string? symbol symbol? uequal | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SEX | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SExpression | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SExpressionCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = atom? car cdr coerce convert destruct elt eq expr float float? integer integer? list? null? pair? string string? symbol symbol? uequal | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SAE | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SimpleAlgebraicExtension | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MonogenicAlgebra | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D associates? basis characteristic characteristicPolynomial charthRoot coerce conditionP convert coordinates createPrimitiveElement definingPolynomial derivationCoordinates differentiate discreteLog discriminant divide euclideanSize expressIdealMember exquo extendedEuclidean factor factorsOfCyclicGroupSize gcd generator index init inv lcm lift lookup minimalPolynomial multiEuclidean nextItem norm one? order prime? primeFrobenius primitive? primitiveElement principalIdeal quo random rank recip reduce reducedSystem regularRepresentation rem representationType represents retract retractIfCan size sizeLess? squareFree squareFreePart tableForDiscreteLogarithm trace traceMatrix unit? unitCanonical unitNormal zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------+ | Abbreviation: | SAOS | +-----------------+-----------------------------+ | Full name: | SingletonAsOrderedSet | +-----------------+-----------------------------+ | Belongs to: | OrderedSet | +-----------------+-----------------------------+ | Operations: | < = coerce create max min | +-----------------+-----------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SINT | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SingleInteger | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | IntegerNumberSystem | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - < = And D Not Or \\^{} abs addmod and associates? base binomial bit? characteristic coerce convert copy dec differentiate divide euclideanSize even? expressIdealMember exquo extendedEuclidean factor factorial gcd hash inc init invmod lcm length mask max min mulmod multiEuclidean negative? nextItem not odd? one? or patternMatch permutation positive? positiveRemainder powmod prime? principalIdeal quo random rational rational? rationalIfCan recip reducedSystem rem retract retractIfCan shift sign sizeLess? squareFree squareFreePart submod symmetricRemainder unit? unitCanonical unitNormal xor zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SMP | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SparseMultivariatePolynomial | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | PolynomialCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce conditionP content convert degree differentiate discriminant eval exquo factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multivariate numberOfMonomials one? patternMatch prime? primitiveMonomials primitivePart recip reducedSystem reductum resultant retract retractIfCan solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial totalDegree unit? unitCanonical unitNormal univariate variables zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SMTS | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SparseMultivariateTaylorSeries | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MultivariateTaylorSeriesCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch asec asech asin asinh associates? atan atanh characteristic charthRoot coefficient coerce complete cos cosh cot coth csc csch csubst degree differentiate eval exp exquo extend fintegrate integrate leadingCoefficient leadingMonomial log map monomial monomial? nthRoot one? order pi pole? polynomial recip reductum sec sech sin sinh sqrt tan tanh unit? unitCanonical unitNormal variables zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | STBL | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SparseTable | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? map map! maxIndex member? members minIndex more? parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SUP | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SparseUnivariatePolynomial | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariatePolynomialCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce composite conditionP content degree differentiate discriminant divide divideExponents elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? init integrate isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable makeSUP map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multiEuclidean multiplyExponents multivariate nextItem numberOfMonomials one? order outputForm prime? primitiveMonomials primitivePart principalIdeal pseudoDivide pseudoQuotient pseudoRemainder quo recip reducedSystem reductum rem resultant retract retractIfCan separate sizeLess? solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial subResultantGcd totalDegree unit? unitCanonical unitNormal univariate unmakeSUP variables vectorise zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SUTS | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SparseUnivariateTaylorSeries | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariateTaylorSeriesCategory | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch approximate asec asech asin asinh associates? atan atanh center characteristic charthRoot coefficient coefficients coerce complete cos cosh cot coth csc csch degree differentiate elt eval exp exquo extend integrate leadingCoefficient leadingMonomial log map monomial monomial? multiplyCoefficients multiplyExponents nthRoot one? order pi pole? polynomial quoByVar recip reductum sec sech series sin sinh sqrt tan tanh terms truncate unit? unitCanonical unitNormal variable variables zero? | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SQMATRIX | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SquareMatrix | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | CoercibleTo SquareMatrixCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 # * ^ + - / = D antisymmetric? any? characteristic coerce column copy count determinant diagonal diagonal? diagonalMatrix diagonalProduct differentiate elt empty empty? eq? every? exquo inverse less? listOfLists map map! matrix maxColIndex maxRowIndex member? members minColIndex minRowIndex minordet more? ncols nrows nullSpace nullity one? parts qelt rank recip reducedSystem retract retractIfCan row rowEchelon scalarMatrix size? square? squareMatrix symmetric? trace transpose zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | STACK | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Stack | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | StackAggregate | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce copy count depth empty empty? eq? every? extract! insert! inspect less? map map! member? members more? parts pop! push! size? stack top | +-----------------+----------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | STREAM | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Stream | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | LazyStreamAggregate | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? child? children coerce complete concat concat! cons construct convert copy count cycleEntry cycleLength cycleSplit! cycleTail cyclic? delay delete distance elt empty empty? entries entry? eq? every? explicitEntries? explicitlyEmpty? explicitlyFinite? extend fill! filterUntil filterWhile find findCycle first frst generate index? indices insert last lazy? lazyEvaluate leaf? less? map map! maxIndex member? members minIndex more? new node? nodes numberOfComputedEntries output parts possiblyInfinite? qelt qsetelt! reduce remove removeDuplicates repeating repeating? rest rst second select setchildren! setelt setfirst! setlast! setrest! setvalue! showAll? showAllElements size? split! swap! tail third value | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | STRTBL | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | StringTable | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? map map! maxIndex member? members minIndex more? parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | STRING | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | String | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | StringCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # < = any? coerce concat construct copy copyInto! count delete elt empty empty? entries entry? eq? every? fill! find first index? indices insert leftTrim less? lowerCase lowerCase! map map! match? max maxIndex member? members merge min minIndex more? new parts position prefix? qelt qsetelt! reduce remove removeDuplicates replace reverse reverse! rightTrim select setelt size? sort sort! sorted? split string substring? suffix? swap! trim upperCase upperCase! | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------+ | Abbreviation: | COMPPROP | +-----------------+------------------------------------------------+ | Full name: | SubSpaceComponentProperty | +-----------------+------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------------------------+ | Operations: | = close closed? coerce copy new solid solid? | +-----------------+------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SUBSPACE | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SubSpace | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | = addPoint addPoint2 addPointLast birth child children closeComponent coerce deepCopy defineProperty extractClosed extractIndex extractPoint extractProperty internal? leaf? level merge modifyPoint new numberOfChildren parent pointData root? separate shallowCopy subspace traverse | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------+ | Abbreviation: | SUCH | +-----------------+------------------------------+ | Full name: | SuchThat | +-----------------+------------------------------+ | Belongs to: | SetCategory | +-----------------+------------------------------+ | Operations: | = coerce construct lhs rhs | +-----------------+------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SYMBOL | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Symbol | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ConvertibleTo OrderedSet PatternMatchable | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | < = argscript coerce convert elt list max min name new patternMatch resetNew script scripted? scripts string subscript superscript | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SYMPOLY | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | SymmetricPolynomial | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FiniteAbelianMonoidRing | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = associates? characteristic charthRoot coefficient coefficients coerce content degree exquo ground ground? leadingCoefficient leadingMonomial map mapExponents minimumDegree monomial monomial? numberOfMonomials one? primitivePart recip reductum retract retractIfCan unit? unitCanonical unitNormal zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------+ | Abbreviation: | TABLEAU | +-----------------+------------------------------+ | Full name: | Tableau | +-----------------+------------------------------+ | Belongs to: | Object | +-----------------+------------------------------+ | Operations: | coerce listOfLists tableau | +-----------------+------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | TABLE | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TableAggregate | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? bag coerce construct copy count dictionary elt empty empty? entries entry? eq? every? extract! fill! find first index? indices insert! inspect key? keys less? map map! maxIndex member? members minIndex more? parts qelt qsetelt! reduce remove remove! removeDuplicates search select select! setelt size? swap! table | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | TS | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | TaylorSeries | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | MultivariateTaylorSeriesCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch asec asech asin asinh associates? atan atanh characteristic charthRoot coefficient coerce complete cos cosh cot coth csc csch degree differentiate eval exp exquo extend fintegrate integrate leadingCoefficient leadingMonomial log map monomial monomial? nthRoot one? order pi pole? polynomial recip reductum sec sech sin sinh sqrt tan tanh unit? unitCanonical unitNormal variables zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------+ | Abbreviation: | TEX1 | +-----------------+--------------+ | Full name: | TexFormat1 | +-----------------+--------------+ | Belongs to: | Object | +-----------------+--------------+ | Operations: | coerce | +-----------------+--------------+ +-----------------+----------------------------------------------------------------------------------------+ | Abbreviation: | TEX | +-----------------+----------------------------------------------------------------------------------------+ | Full name: | TexFormat | +-----------------+----------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+----------------------------------------------------------------------------------------+ | Operations: | = coerce convert display epilogue new prologue setEpilogue! setPrologue! setTex! tex | +-----------------+----------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | TEXTFILE | +-----------------+-------------------------------------------------------------------------------------------------------------------+ | Full name: | TextFile | +-----------------+-------------------------------------------------------------------------------------------------------------------+ | Belongs to: | FileCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------+ | Operations: | = close! coerce endOfFile? iomode name open read! readIfCan! readLine! readLineIfCan! reopen! write! writeLine! | +-----------------+-------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | VIEW3D | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ThreeDimensionalViewport | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | = axes clipSurface close coerce colorDef controlPanel diagonals dimensions drawStyle eyeDistance hitherPlane intensity key lighting makeViewport3D modifyPointData move options outlineRender perspective reset resize rotate showClipRegion showRegion subspace title translate viewDeltaXDefault viewDeltaYDefault viewPhiDefault viewThetaDefault viewZoomDefault viewpoint viewport3D write zoom | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | SPACE3 | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | ThreeSpace | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | ThreeSpaceCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | = check closedCurve closedCurve? coerce components composite composites copy create3Space curve curve? enterPointData lllip lllp llprop lp lprop merge mesh mesh? modifyPointData numberOfComponents numberOfComposites objects point point? polygon polygon? subspace | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | TREE | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Tree | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | RecursiveAggregate | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? children coerce copy count cyclic? elt empty empty? eq? every? leaf? leaves less? map map! member? members more? node? nodes parts setchildren! setelt setvalue! size? tree value | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +--------------------------------------+--------------------------------------+ | Abbreviation: | TUBE | +--------------------------------------+--------------------------------------+ | Full name: | TubePlot | +--------------------------------------+--------------------------------------+ | Belongs to: | | +--------------------------------------+--------------------------------------+ | Operations: | closed? getCurve listLoops open? | | | setClosed tube | +--------------------------------------+--------------------------------------+ +-----------------+---------------------------+ | Abbreviation: | TUPLE | +-----------------+---------------------------+ | Full name: | Tuple | +-----------------+---------------------------+ | Belongs to: | CoercibleTo SetCategory | +-----------------+---------------------------+ | Operations: | = coerce length select | +-----------------+---------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ARRAY2 | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | TwoDimensionalArray | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | TwoDimensionalArrayCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # = any? coerce column copy count elt empty empty? eq? every? fill! less? map map! maxColIndex maxRowIndex member? members minColIndex minRowIndex more? ncols new nrows parts qelt qsetelt! row setColumn! setRow! setelt size? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | VIEW2D | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | TwoDimensionalViewport | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | SetCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | = axes close coerce connect controlPanel dimensions getGraph graphState graphStates graphs key makeViewport2D move options points putGraph region reset resize scale show title translate units viewport2D write | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ULSCONS | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | UnivariateLaurentSeriesConstructor | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariateLaurentSeriesConstructorCategory | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D abs acos acosh acot acoth acsc acsch approximate asec asech asin asinh associates? atan atanh ceiling center characteristic charthRoot coefficient coerce complete conditionP convert cos cosh cot coth csc csch degree denom denominator differentiate divide elt euclideanSize eval exp expressIdealMember exquo extend extendedEuclidean factor factorPolynomial factorSquareFreePolynomial floor fractionPart gcd gcdPolynomial init integrate inv laurent lcm leadingCoefficient leadingMonomial log map max min monomial monomial? multiEuclidean multiplyCoefficients multiplyExponents negative? nextItem nthRoot numer numerator one? order patternMatch pi pole? positive? prime? principalIdeal quo random rationalFunction recip reducedSystem reductum rem removeZeroes retract retractIfCan sec sech series sign sin sinh sizeLess? solveLinearPolynomialEquation sqrt squareFree squareFreePart squareFreePolynomial tan tanh taylor taylorIfCan taylorRep terms truncate unit? unitCanonical unitNormal variable variables wholePart zero? | +-----------------+-----------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | ULS | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | UnivariateLaurentSeries | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariateLaurentSeriesConstructorCategory | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch approximate asec asech asin asinh associates? atan atanh center characteristic charthRoot coefficient coerce complete cos cosh cot coth csc csch degree denom denominator differentiate divide elt euclideanSize eval exp expressIdealMember exquo extend extendedEuclidean factor gcd integrate inv laurent lcm leadingCoefficient leadingMonomial log map monomial monomial? multiEuclidean multiplyCoefficients multiplyExponents nthRoot numer numerator one? order pi pole? prime? principalIdeal quo rationalFunction recip reducedSystem reductum rem removeZeroes retract retractIfCan sec sech series sin sinh sizeLess? sqrt squareFree squareFreePart tan tanh taylor taylorIfCan taylorRep terms truncate unit? unitCanonical unitNormal variable variables zero? | +-----------------+-------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | UP | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | UnivariatePolynomial | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariatePolynomialCategory | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / < = D associates? characteristic charthRoot coefficient coefficients coerce composite conditionP content degree differentiate discriminant divide divideExponents elt euclideanSize eval expressIdealMember exquo extendedEuclidean factor factorPolynomial factorSquareFreePolynomial gcd gcdPolynomial ground ground? init integrate isExpt isPlus isTimes lcm leadingCoefficient leadingMonomial mainVariable makeSUP map mapExponents max min minimumDegree monicDivide monomial monomial? monomials multiEuclidean multiplyExponents multivariate nextItem numberOfMonomials one? order prime? primitiveMonomials primitivePart principalIdeal pseudoDivide pseudoQuotient pseudoRemainder quo recip reducedSystem reductum rem resultant retract retractIfCan separate sizeLess? solveLinearPolynomialEquation squareFree squareFreePart squareFreePolynomial subResultantGcd totalDegree unit? unitCanonical unitNormal univariate unmakeSUP variables vectorise zero? | +-----------------+------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | UPXSCONS | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | UnivariatePuiseuxSeriesConstructor | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariatePuiseuxSeriesConstructorCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch approximate asec asech asin asinh associates? atan atanh center characteristic charthRoot coefficient coerce complete cos cosh cot coth csc csch degree differentiate divide elt euclideanSize eval exp expressIdealMember exquo extend extendedEuclidean factor gcd integrate inv laurent laurentIfCan laurentRep lcm leadingCoefficient leadingMonomial log map monomial monomial? multiEuclidean multiplyExponents nthRoot one? order pi pole? prime? principalIdeal puiseux quo rationalPower recip reductum rem retract retractIfCan sec sech series sin sinh sizeLess? sqrt squareFree squareFreePart tan tanh terms truncate unit? unitCanonical unitNormal variable variables zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | UPXS | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | UnivariatePuiseuxSeries | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariatePuiseuxSeriesConstructorCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch approximate asec asech asin asinh associates? atan atanh center characteristic charthRoot coefficient coerce complete cos cosh cot coth csc csch degree differentiate divide elt euclideanSize eval exp expressIdealMember exquo extend extendedEuclidean factor gcd integrate inv laurent laurentIfCan laurentRep lcm leadingCoefficient leadingMonomial log map monomial monomial? multiEuclidean multiplyExponents nthRoot one? order pi pole? prime? principalIdeal puiseux quo rationalPower recip reductum rem retract retractIfCan sec sech series sin sinh sizeLess? sqrt squareFree squareFreePart tan tanh terms truncate unit? unitCanonical unitNormal variable variables zero? | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | UTS | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | UnivariateTaylorSeries | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | UnivariateTaylorSeriesCategory | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | 0 1 * ^ + - / = D acos acosh acot acoth acsc acsch approximate asec asech asin asinh associates? atan atanh center characteristic charthRoot coefficient coefficients coerce complete cos cosh cot coth csc csch degree differentiate elt eval evenlambert exp exquo extend generalLambert integrate invmultisect lagrange lambert leadingCoefficient leadingMonomial log map monomial monomial? multiplyCoefficients multiplyExponents multisect nthRoot oddlambert one? order pi pole? polynomial quoByVar recip reductum revert sec sech series sin sinh sqrt tan tanh terms truncate unit? unitCanonical unitNormal univariatePolynomial variable variables zero? | +-----------------+--------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +-----------------+----------------------------------------------------------------------------+ | Abbreviation: | UNISEG | +-----------------+----------------------------------------------------------------------------+ | Full name: | UniversalSegment | +-----------------+----------------------------------------------------------------------------+ | Belongs to: | SegmentCategory SegmentExpansionCategory | +-----------------+----------------------------------------------------------------------------+ | Operations: | = BY SEGMENT coerce convert expand hasHi hi high incr lo low map segment | +-----------------+----------------------------------------------------------------------------+ +-----------------+---------------------------+ | Abbreviation: | VARIABLE | +-----------------+---------------------------+ | Full name: | Variable | +-----------------+---------------------------+ | Belongs to: | CoercibleTo SetCategory | +-----------------+---------------------------+ | Operations: | = coerce variable | +-----------------+---------------------------+ +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Abbreviation: | VECTOR | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Full name: | Vector | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Belongs to: | VectorCategory | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ | Operations: | # * + - < = any? coerce concat construct convert copy copyInto! count delete dot elt empty empty? entries entry? eq? every? fill! find first index? indices insert less? map map! max maxIndex member? members merge min minIndex more? new parts position qelt qsetelt! reduce remove removeDuplicates reverse reverse! select setelt size? sort sort! sorted? swap! vector zero | +-----------------+---------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------+ +--------------------------------------+--------------------------------------+ | Abbreviation: | VOID | +--------------------------------------+--------------------------------------+ | Full name: | Void | +--------------------------------------+--------------------------------------+ | Belongs to: | | +--------------------------------------+--------------------------------------+ | Operations: | coerce void | +--------------------------------------+--------------------------------------+