JuliaWSInteger

jws.spad line 186 [edit on github]

Julia Wolfram Symbolic integers using Wolfram Symbolic Transport Protocol.

0: %

from AbelianMonoid

1: %

from MagmaWithUnit

*: (%, %) -> %

from Magma

*: (Integer, %) -> %

from AbelianGroup

*: (NonNegativeInteger, %) -> %

from AbelianMonoid

*: (PositiveInteger, %) -> %

from AbelianSemiGroup

+: (%, %) -> %

from AbelianSemiGroup

-: % -> %

from AbelianGroup

-: (%, %) -> %

from AbelianGroup

/: (%, %) -> JuliaWSRational

a/b returns the Julia WS rational a/b.

<=: (%, %) -> Boolean

from PartialOrder

<: (%, %) -> Boolean

from PartialOrder

=: (%, %) -> Boolean

from BasicType

>=: (%, %) -> Boolean

from PartialOrder

>: (%, %) -> Boolean

from PartialOrder

^: (%, NonNegativeInteger) -> %

from MagmaWithUnit

^: (%, PositiveInteger) -> %

from Magma

~=: (%, %) -> Boolean

from BasicType

abs: % -> %

from OrderedRing

addmod: (%, %, %) -> %

from IntegerNumberSystem

annihilate?: (%, %) -> Boolean

from Rng

antiCommutator: (%, %) -> %

from NonAssociativeSemiRng

associates?: (%, %) -> Boolean

from EntireRing

associator: (%, %, %) -> %

from NonAssociativeRng

base: () -> %

from IntegerNumberSystem

binomial: (%, %) -> %

from CombinatorialFunctionCategory

bit?: (%, %) -> Boolean

from IntegerNumberSystem

characteristic: () -> NonNegativeInteger

from NonAssociativeRing

coerce: % -> %

from Algebra %

coerce: % -> JuliaWSExpression

coerce(z): coeeces z. Convenience function.

coerce: % -> JuliaWSRational

coerce(z): coeeces z. Convenience function.

coerce: % -> OutputForm

from CoercibleTo OutputForm

coerce: Integer -> %

coerce(z): coeeces z. Convenience function.

commutator: (%, %) -> %

from NonAssociativeRng

convert: % -> DoubleFloat

from ConvertibleTo DoubleFloat

convert: % -> Float

from ConvertibleTo Float

convert: % -> InputForm

from ConvertibleTo InputForm

convert: % -> Integer

from ConvertibleTo Integer

convert: % -> Pattern Integer

from ConvertibleTo Pattern Integer

convert: % -> String

from ConvertibleTo String

copy: % -> %

from IntegerNumberSystem

D: % -> %

from DifferentialRing

D: (%, NonNegativeInteger) -> %

from DifferentialRing

dec: % -> %

from IntegerNumberSystem

differentiate: % -> %

from DifferentialRing

differentiate: (%, NonNegativeInteger) -> %

from DifferentialRing

divide: (%, %) -> Record(quotient: %, remainder: %)

from EuclideanDomain

euclideanSize: % -> NonNegativeInteger

from EuclideanDomain

even?: % -> Boolean

from IntegerNumberSystem

expressIdealMember: (List %, %) -> Union(List %, failed)

from PrincipalIdealDomain

exquo: (%, %) -> Union(%, failed)

from EntireRing

extendedEuclidean: (%, %) -> Record(coef1: %, coef2: %, generator: %)

from EuclideanDomain

extendedEuclidean: (%, %, %) -> Union(Record(coef1: %, coef2: %), failed)

from EuclideanDomain

factor: % -> Factored %

from UniqueFactorizationDomain

factor: % -> JuliaWSList JuliaWSList %

factor(n) returns the WS factorization of n.

factorial: % -> %

from CombinatorialFunctionCategory

fibonacci: % -> %

fibonacci(n) returns the Fibonacci numberi Fn.

gcd: (%, %) -> %

from GcdDomain

gcd: List % -> %

from GcdDomain

gcdPolynomial: (SparseUnivariatePolynomial %, SparseUnivariatePolynomial %) -> SparseUnivariatePolynomial %

from GcdDomain

hyperFactorial: % -> %

hyperFactorial(n) computes the hyperfactorial of n.

inc: % -> %

from IntegerNumberSystem

init: %

from StepThrough

integer: % -> Integer

integer(i) return i as a FriCAS Integer. Convenience function.

invmod: (%, %) -> %

from IntegerNumberSystem

jlAbout: % -> Void

from JuliaObjectType

jlApply: (String, %) -> %

from JuliaObjectType

jlApply: (String, %, %) -> %

from JuliaObjectType

jlApply: (String, %, %, %) -> %

from JuliaObjectType

jlApply: (String, %, %, %, %) -> %

from JuliaObjectType

jlApply: (String, %, %, %, %, %) -> %

from JuliaObjectType

jlApply: (String, %, %, %, %, %, %) -> %

from JuliaObjectType

jlEval: % -> %

from JuliaWSObject

jlHead: % -> JuliaWSSymbol

from JuliaWSObject

jlId: % -> String

from JuliaObjectType

jlNumeric: % -> %

from JuliaWSObject

jlNumeric: (%, PositiveInteger) -> %

from JuliaWSObject

jlRef: % -> SExpression

from JuliaObjectType

jlref: String -> %

from JuliaObjectType

jlSymbolic: % -> String

from JuliaWSObject

jlType: % -> String

from JuliaObjectType

jWSInt: Integer -> %

jWSInt(int) constructs int as a JuliaWSInteger.

jWSInterpret: (String, String) -> %

from JuliaWSObject

latex: % -> String

from SetCategory

lcm: (%, %) -> %

from GcdDomain

lcm: List % -> %

from GcdDomain

lcmCoef: (%, %) -> Record(llcm_res: %, coeff1: %, coeff2: %)

from LeftOreRing

leftPower: (%, NonNegativeInteger) -> %

from MagmaWithUnit

leftPower: (%, PositiveInteger) -> %

from Magma

leftRecip: % -> Union(%, failed)

from MagmaWithUnit

length: % -> %

from IntegerNumberSystem

mask: % -> %

from IntegerNumberSystem

max: (%, %) -> %

from OrderedSet

min: (%, %) -> %

from OrderedSet

mulmod: (%, %, %) -> %

from IntegerNumberSystem

multiEuclidean: (List %, %) -> Union(List %, failed)

from EuclideanDomain

mutable?: % -> Boolean

from JuliaObjectType

negative?: % -> Boolean

from OrderedRing

nextItem: % -> Union(%, failed)

from StepThrough

nothing?: % -> Boolean

from JuliaObjectType

odd?: % -> Boolean

from IntegerNumberSystem

one?: % -> Boolean

from JuliaRing

opposite?: (%, %) -> Boolean

from AbelianMonoid

patternMatch: (%, Pattern Integer, PatternMatchResult(Integer, %)) -> PatternMatchResult(Integer, %)

from PatternMatchable Integer

permutation: (%, %) -> %

from CombinatorialFunctionCategory

plenaryPower: (%, PositiveInteger) -> %

from NonAssociativeAlgebra %

positive?: % -> Boolean

from OrderedRing

positiveRemainder: (%, %) -> %

from IntegerNumberSystem

powmod: (%, %, %) -> %

from IntegerNumberSystem

prime?: % -> Boolean

from UniqueFactorizationDomain

principalIdeal: List % -> Record(coef: List %, generator: %)

from PrincipalIdealDomain

QFactorial: (%, %) -> %

QFactorial(x,q) returns the q-analog of factorial of x.

quo: (%, %) -> %

from EuclideanDomain

random: % -> %

from IntegerNumberSystem

rational?: % -> Boolean

from IntegerNumberSystem

rational: % -> Fraction Integer

from IntegerNumberSystem

rationalIfCan: % -> Union(Fraction Integer, failed)

from IntegerNumberSystem

recip: % -> Union(%, failed)

from MagmaWithUnit

rem: (%, %) -> %

from EuclideanDomain

retract: % -> Integer

from RetractableTo Integer

retractIfCan: % -> Union(Integer, failed)

from RetractableTo Integer

rightPower: (%, NonNegativeInteger) -> %

from MagmaWithUnit

rightPower: (%, PositiveInteger) -> %

from Magma

rightRecip: % -> Union(%, failed)

from MagmaWithUnit

sample: %

from AbelianMonoid

shift: (%, %) -> %

from IntegerNumberSystem

sign: % -> Integer

from OrderedRing

sizeLess?: (%, %) -> Boolean

from EuclideanDomain

smaller?: (%, %) -> Boolean

from Comparable

squareFree: % -> Factored %

from UniqueFactorizationDomain

squareFreePart: % -> %

from UniqueFactorizationDomain

string: % -> String

from JuliaObjectType

submod: (%, %, %) -> %

from IntegerNumberSystem

subtractIfCan: (%, %) -> Union(%, failed)

from CancellationAbelianMonoid

symmetricRemainder: (%, %) -> %

from IntegerNumberSystem

toString: % -> String

from JuliaWSObject

unit?: % -> Boolean

from EntireRing

unitCanonical: % -> %

from EntireRing

unitNormal: % -> Record(unit: %, canonical: %, associate: %)

from EntireRing

zero?: % -> Boolean

from JuliaRing

AbelianGroup

AbelianMonoid

AbelianSemiGroup

Algebra %

BasicType

BiModule(%, %)

CancellationAbelianMonoid

Canonical

canonicalsClosed

canonicalUnitNormal

CharacteristicZero

CoercibleFrom Integer

CoercibleTo OutputForm

CombinatorialFunctionCategory

CommutativeRing

CommutativeStar

Comparable

ConvertibleTo DoubleFloat

ConvertibleTo Float

ConvertibleTo InputForm

ConvertibleTo Integer

ConvertibleTo Pattern Integer

ConvertibleTo String

DifferentialRing

EntireRing

EuclideanDomain

GcdDomain

IntegerNumberSystem

IntegralDomain

JuliaObjectRing

JuliaObjectType

JuliaRing

JuliaType

JuliaWSNumber

JuliaWSObject

JuliaWSRing

LeftModule %

LeftOreRing

Magma

MagmaWithUnit

Module %

Monoid

multiplicativeValuation

NonAssociativeAlgebra %

NonAssociativeRing

NonAssociativeRng

NonAssociativeSemiRing

NonAssociativeSemiRng

noZeroDivisors

OrderedAbelianGroup

OrderedAbelianMonoid

OrderedAbelianSemiGroup

OrderedCancellationAbelianMonoid

OrderedIntegralDomain

OrderedRing

OrderedSet

PartialOrder

PatternMatchable Integer

PrincipalIdealDomain

RealConstant

RetractableTo Integer

RightModule %

Ring

Rng

SemiGroup

SemiRing

SemiRng

SetCategory

StepThrough

TwoSidedRecip

UniqueFactorizationDomain

unitsKnown