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Subindex: distance  ..  Divisor


distance

   OutNeighbors(u) : GrphVert -> { GrphVert }
   Adjacency, Degree and Distance (GRAPHS)
   Bounds on the Minimum Distance (LINEAR CODES OVER FINITE FIELDS)
   Distance and Weight (LINEAR CODES OVER FINITE FIELDS)
   Vector Space and Related Operations (LINEAR CODES OVER FINITE FIELDS)

DistanceMatrix

   DistanceMatrix(G) : Grph -> AlgMatElt

DistancePartition

   DistancePartition(u) : GrphVert -> [ { GrphVert } ]
   DistancePartition(u) : GrphVert -> [ { GrphVert } ]

Distinct

   DistinctDegreeFactorization(f) : RngUPolElt -> [ <RngIntElt, RngUPolElt> ]
   DistinctExtensions(G, N, F, M) : GrpPerm, GrpPerm, GrpFP, ModGrp -> SeqEnum
   DistinctExtensions(CM) : ModCoho -> SeqEnum

DistinctDegreeFactorization

   DistinctDegreeFactorization(f) : RngUPolElt -> [ <RngIntElt, RngUPolElt> ]

DistinctExtensions

   DistinctExtensions(G, N, F, M) : GrpPerm, GrpPerm, GrpFP, ModGrp -> SeqEnum
   DistinctExtensions(CM) : ModCoho -> SeqEnum

distributed

   Distributing NFS factorizations (RING OF INTEGERS)
   RngInt_distributed (Example H35E14)

Distribution

   CosetDistanceDistribution(C) : Code -> [ <RngIntElt, RngIntElt> ]
   DualEuclideanWeightDistribution(C) : Code -> SeqEnum
   DualLeeWeightDistribution(C) : Code -> eseq
   DualWeightDistribution(C) : Code -> [ <RngIntElt, RngIntElt> ]
   DualWeightDistribution(C) : Code -> [ <RngIntElt, RngIntElt> ]
   EuclideanWeightDistribution(C) : Code -> SeqEnum
   LeeWeightDistribution(C) : Code -> eseq
   WeightDistribution(C) : Code -> [ <RngIntElt, RngIntElt> ]
   WeightDistribution(C) : Code -> [ <RngIntElt, RngIntElt> ]
   WeightDistribution(C, u) : Code, ModTupFldElt -> [ <RngIntElt, RngIntElt> ]

distribution

   Hamming Weight (LINEAR CODES OVER FINITE RINGS)
   The Weight Distribution (LINEAR CODES OVER FINITE FIELDS)
   Weight Distributions (LINEAR CODES OVER FINITE RINGS)

distributive

   MULTIVARIATE POLYNOMIAL RINGS

distributive-multivariate-polynomial

   MULTIVARIATE POLYNOMIAL RINGS

Div

   LeftDiv(u, v) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   LeftDiv(u, ~v) : GrpBrdElt, GrpBrdElt -> GrpBrdElt

div

   Arithmetic with Places and Divisors (ORDERS AND ALGEBRAIC FIELDS)
   Creation of Elements (ORDERS AND ALGEBRAIC FIELDS)
   Creation of Structures (ORDERS AND ALGEBRAIC FIELDS)
   Other functions for Divisors and Places (ORDERS AND ALGEBRAIC FIELDS)
   Rings, Fields, and Algebras (OVERVIEW)
   D + E : DivCrvElt,DivCrvElt -> DivCrvElt
   v div d : LatElt, RngIntElt -> LatElt
   f div s : ModMPolElt, RngMPolElt -> ModMPolElt
   n div m : RngIntElt, RngIntElt -> RngIntElt
   f div g : RngMPolElt, RngMPolElt -> RngMPolElt
   w div v : RngOrdElt, RngOrdElt -> RngOrdElt
   x div y : RngPadElt, RngPadElt -> RngPadElt
   f div g : RngUPolElt, RngUPolElt -> RngUPolElt
   v div w : RngValElt, RngValElt -> RngValElt

div-arith

   Arithmetic with Places and Divisors (ORDERS AND ALGEBRAIC FIELDS)

div-create-e

   Creation of Elements (ORDERS AND ALGEBRAIC FIELDS)

div-create-s

   DivisorGroup(K) : FldNum -> DivNum
   Creation of Structures (ORDERS AND ALGEBRAIC FIELDS)

div-other

   Other functions for Divisors and Places (ORDERS AND ALGEBRAIC FIELDS)

div:=

   f div:= s : ModMPolElt, RngMPolElt ->

div_diff

   FldFunG_div_diff (Example H57E37)

Divisible

   IsDivisibleBy(a, b) : FldFunElt, FldFunElt -> BoolElt, FldFunElt
   IsDivisibleBy(n, d) : RngIntElt, RngIntElt -> BoolElt, RngIntElt
   IsDivisibleBy(a, b) : RngMPolElt, RngMPolElt -> BoolElt, RngMPolElt
   IsDivisibleBy(a, b) : RngUPolElt, RngUPolElt -> BoolElt, RngUPolElt
   IsExactlyDivisible(x, y) : RngPadElt, RngPadElt -> BoolElt, RngPadElt

Division

   DivisionFunction(E, n) : Fld, RngIntElt -> RngFunOrdElt
   DivisionPoints(P, n) : PtEll, RngIntElt -> [ PtEll ]
   DivisionPolynomial(E, n) : CrvEll, RngIntElt -> RngUPolElt, RngUPolElt, RngUPolElt
   IsDivisionRing(R) : Rng -> BoolElt
   TrialDivision(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]
   TrialDivision(n, B) : RngQuadElt, RngIntElt -> SeqEnum, SeqEnum, Tup
   RngLoc_Division (Example H61E10)

division

   Operators (OVERVIEW)
   Quotient and Reductum (MULTIVARIATE POLYNOMIAL RINGS)
   Quotient and Remainder (UNIVARIATE POLYNOMIAL RINGS)
   Rings, Fields, and Algebras (OVERVIEW)

DivisionFunction

   DivisionFunction(E, n) : Fld, RngIntElt -> RngFunOrdElt

DivisionPoints

   DivisionPoints(P, n) : PtEll, RngIntElt -> [ PtEll ]

DivisionPolynomial

   DivisionPolynomial(E, n) : CrvEll, RngIntElt -> RngUPolElt, RngUPolElt, RngUPolElt
   CrvEll_DivisionPolynomial (Example H91E19)

Divisor

   CurveDivisor(D) : DivFunElt -> DivCrvElt
   Div ! D : DivCrv, DivFunElt -> DivCrvElt
   Div ! p : DivCrv, PlcCrvElt -> DivCrvElt
   D ! 0 : DivCrv,RngIntElt -> DivCrvElt
   Div ! a : DivFun, RngElt -> DivFunElt
   Div ! I : DivFun, RngFunOrdIdl -> DivFunElt
   CanonicalDivisor(F) : FldFun -> DivFunElt
   ComplementaryDivisor(D,p) : DivCrvElt,Pt -> DivCrvElt
   ComplementaryDivisor(D) : DivFunElt -> DivFunElt
   DifferentDivisor(F) : FldFun -> DivFunElt
   DiscriminantDivisor(m, U) : DivFunElt, GrpAb -> DivFunElt
   Divisor(C) : Code -> DivCrvElt
   Divisor(d) : DiffFunElt -> DivFunElt
   Divisor(Div,L) : DivCrv, Crv -> DivCrvElt
   Divisor(Div,S) : DivCrv, SeqEnum -> DivCrvElt
   Divisor(Div,a) : DivCrv,DiffFunElt -> DivCrvElt
   Divisor(Div,p,q) : DivCrv,Pt,Pt -> DivCrvElt
   Divisor(a) : FldFunGElt -> DivFunElt
   Divisor(P) : PlcFunElt -> DivFunElt
   Divisor(pl) : PlcNumElt -> DivNumElt
   Divisor(I) : RngFunOrdIdl -> DivFunElt
   Divisor(I, J) : RngFunOrdIdl, RngFunOrdIdl -> DivFunElt
   Divisor(I, J) : RngFunOrdIdl, RngFunOrdIdl -> DivFunElt
   Divisor(I) : RngOrdFracIdl -> DivNumElt
   Divisor(Q) : SeqEnum -> DivCrvElt
   DivisorGroup(C) : Crv -> DivCrv
   DivisorGroup(D) : DivCrvElt -> DivCrv
   DivisorGroup(F) : FldFun -> DivFun
   DivisorGroup(F) : FldFun -> DivFun
   DivisorGroup(F) : FldFun -> DivFun
   DivisorIdeal(I) : RngMPolRes -> RngMPol
   DivisorMap(D) : DivCrvElt -> MapSch
   DivisorOfDegreeOne(F) : FldFun -> DivFunElt
   DivisorSigma(i, n) : RngIntElt, RngIntElt -> RngIntElt
   ExtendedGreatestCommonDivisor(m, n) : RngIntElt, RngIntElt -> RngIntElt, RngIntElt, RngIntElt
   ExtendedGreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt, RngUPolElt, RngUPolElt
   ExtendedGreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt, RngValElt, RngValElt
   ExtendedGreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt, [RngIntElt]
   FunctionFieldDivisor(D) : DivCrvElt -> DivFunElt
   GCD(D1, D2) : DivCrvElt, DivCrvElt -> DivCrvElt
   GCD(D1, D2) : DivFunElt, DivFunElt -> DivFunElt
   GCD(I, J) : RngOrdFracIdl, RngOrdFracIdl -> RngOrdFracIdl
   Gcd(a, b) : RngQuadElt, RngQuadElt -> RngQuadElt
   GreatestCommonDivisor(a, b) : RngIntResElt, RngIntResElt -> RngIntResElt
   GreatestCommonDivisor(f, g) : RngMPolElt, RngMPolElt -> RngMPolElt
   GreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
   GreatestCommonDivisor(f, g) : RngUPolElt, RngUPolElt -> RngUPolElt
   GreatestCommonDivisor(v, w) : RngValElt, RngValElt -> RngValElt
   GreatestCommonDivisor(s) : [RngIntElt] -> RngIntElt
   GreatestCommonDivisor(Q) : [RngIntResElt] -> RngIntResElt
   IsZeroDivisor(a) : AlgGenElt -> BoolElt
   IsZeroDivisor(x) : RngElt -> BoolElt
   LeftGCD(u, v: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   LeftGCD(S: parameters) : Setq -> GrpBrdElt
   NonSpecialDivisor(m): DivFunElt -> DivFunElt, RngIntElt
   Places(K) : FldNum -> PlcNum
   PrincipalDivisor(Div,f) : DivCrv, FldFunElt -> DivCrvElt
   PrincipalDivisorMap(F) : FldFun -> Map
   RamificationDivisor(D) : DivCrvElt -> DivCrvElt
   RamificationDivisor(D) : DivFunElt -> DivFunElt
   RamificationDivisor(F) : FldFunG -> DivFunElt
   RamificationDivisor(m) : MapSch -> DivFunElt
   RightGCD(u, v: parameters) : GrpBrdElt, GrpBrdElt -> GrpBrdElt
   RightGCD(S: parameters) : Setq -> GrpBrdElt
   SPrincipalDivisorMap(S) : SetEnum[PlcFunElt] -> Map


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