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Subindex: MultiplicationTable  ..  Multiset


MultiplicationTable

   MultiplicationTable(O) : AlgAssVOrd -> SeqEnum
   MultiplicationTable(~L) : AlgLieExtr ->
   MultiplicationTable(L) : AlgLieExtr -> SeqEnum
   MultiplicationTable(O) : RngOrd -> [AlgMatElt]
   RngOrd_MultiplicationTable (Example H37E15)

Multiplicative

   UnitGroup(S) : AlgQuatOrd[RngInt] -> GrpPerm, Map
   MultiplicativeGroup(S) : AlgQuatOrd[RngInt] -> GrpPerm, Map
   MultiplicativeGroup(F) : FldFin -> GrpAb, Map
   MultiplicativeGroup(Z) : RngInt -> GrpAb, Map
   MultiplicativeGroup(R) : RngIntRes -> GrpAb, Map
   MultiplicativeJordanDecomposition(x) : GrpLieElt -> GrpLieElt, GrpLieElt
   MultiplicativeOrder(gamma) : AlgAssVOrdElt -> SeqEnum
   UnitGroup(K) : FldNum -> GrpAb, Map
   UnitGroup(O) : RngOrd -> GrpAb, Map
   UnitGroup(OQ) : RngOrdRes -> GrpAb, Map

MultiplicativeGroup

   UnitGroup(S) : AlgQuatOrd[RngInt] -> GrpPerm, Map
   MultiplicativeGroup(S) : AlgQuatOrd[RngInt] -> GrpPerm, Map
   MultiplicativeGroup(F) : FldFin -> GrpAb, Map
   MultiplicativeGroup(Z) : RngInt -> GrpAb, Map
   MultiplicativeGroup(R) : RngIntRes -> GrpAb, Map
   UnitGroup(K) : FldNum -> GrpAb, Map
   UnitGroup(O) : RngOrd -> GrpAb, Map
   UnitGroup(OQ) : RngOrdRes -> GrpAb, Map

MultiplicativeJordanDecomposition

   MultiplicativeJordanDecomposition(x) : GrpLieElt -> GrpLieElt, GrpLieElt

MultiplicativeOrder

   MultiplicativeOrder(gamma) : AlgAssVOrdElt -> SeqEnum

Multiplicator

   MultiplicatorRing(I): AlgAssVOrdIdl -> AlgAssVOrd
   MultiplicatorRing(I) : RngFunOrdIdl -> RngFunOrd
   MultiplicatorRing(I) : RngFunOrdIdl -> RngFunOrd
   MultiplicatorRing(I) : RngOrdFracIdl -> Rng

MultiplicatorRing

   MultiplicatorRing(I): AlgAssVOrdIdl -> AlgAssVOrd
   MultiplicatorRing(I) : RngFunOrdIdl -> RngFunOrd
   MultiplicatorRing(I) : RngFunOrdIdl -> RngFunOrd
   MultiplicatorRing(I) : RngOrdFracIdl -> Rng

Multiplicities

   CalculateMultiplicities(~g) : GrphRes ->
   ConstituentsWithMultiplicities(M) : ModRng -> [ <ModRng, RngIntElt> ], [ RngIntElt ]
   Multiplicities(g) : GrphRes -> SeqEnum
   Multiplicities(S) : SetMulti -> SeqEnum
   Weights(D) : LieRepDec -> SeqEnum, SeqEnum

multiplicities

   Multiplicities (POLYNOMIAL RING IDEAL OPERATIONS)

Multiplicity

   Multiplicity(u, v) : GrphVert, GrphVert -> RngIntElt
   EdgeMultiplicity(u, v) : GrphVert, GrphVert -> RngIntElt
   HasMultiplicityOne(A) : ModAbVar -> BoolElt
   Multiplicity(D,E) : DivSchElt, DivSchElt -> FldRatElt
   Multiplicity(D, v) : LieRepDec, ModTupRngElt -> RngIntElt
   Multiplicity(L,p) : LinearSys,Pt -> RngIntElt
   Multiplicity(p) : Sch,Pt -> RngIntElt
   Multiplicity(p) : Sch,Pt -> RngIntElt
   Multiplicity(S, x) : SetMulti, Elt -> RngIntElt

Multiplied

   HilbertSeriesMultipliedByMinimalDenominator(p,V) : RngUPolElt, SeqEnum -> RngUPolElt, SeqEnum

Multiplier

   Multiplier(A) : GrpAtlas -> RngIntElt

Multiply

   MultiplyByTranspose(v, A) : ModTupRng, MtrxSprs -> ModTupRng
   MultiplyColumn(~a, u, i) : AlgMatElt, RngElt, RngIntElt ->
   MultiplyColumn(A, c, i) : Mtrx, RngElt, RngIntElt -> Mtrx
   MultiplyColumn(A, c, i) : MtrxSprs, RngElt, RngIntElt -> MtrxSprs
   MultiplyDivisor(n, D , D0) : RngIntElt, DivCrvElt, DivCrvElt -> DivCrvElt
   MultiplyFrobenius(b,f,F) : RngElt, RngUPolElt, Map -> RngElt
   MultiplyRow(~a, u, j) : AlgMatElt, RngElt, RngIntElt ->
   MultiplyRow(A, c, i) : Mtrx, RngElt, RngIntElt -> Mtrx
   MultiplyRow(A, c, i) : MtrxSprs, RngElt, RngIntElt -> MtrxSprs

multiply

   Multiplying Vectors or Matrices by Sparse Matrices (SPARSE MATRICES)

MultiplyByTranspose

   MultiplyByTranspose(v, A) : ModTupRng, MtrxSprs -> ModTupRng

MultiplyColumn

   MultiplyColumn(~a, u, i) : AlgMatElt, RngElt, RngIntElt ->
   MultiplyColumn(A, c, i) : Mtrx, RngElt, RngIntElt -> Mtrx
   MultiplyColumn(A, c, i) : MtrxSprs, RngElt, RngIntElt -> MtrxSprs

MultiplyDivisor

   MultiplyDivisor(n, D , D0) : RngIntElt, DivCrvElt, DivCrvElt -> DivCrvElt

MultiplyFrobenius

   MultiplyFrobenius(b,f,F) : RngElt, RngUPolElt, Map -> RngElt

MultiplyRow

   MultiplyRow(~a, u, j) : AlgMatElt, RngElt, RngIntElt ->
   MultiplyRow(A, c, i) : Mtrx, RngElt, RngIntElt -> Mtrx
   MultiplyRow(A, c, i) : MtrxSprs, RngElt, RngIntElt -> MtrxSprs

Multiset

   CharacterMultiset(V) : ModAlg -> LieRepDec
   CharacterMultiset(V) : ModAlg -> LieRepDec
   DecompositionMultiset(V) : ModAlg -> LieRepDec
   DecompositionMultiset(V) : ModAlg -> LieRepDec
   Multiset(D) : LieRepDec -> SetMulti
   MultisetToSet(S) : SetMulti -> SetEnum
   PowerMultiset(R) : Str -> PowSetMulti
   SequenceToMultiset(Q) : SeqEnum -> SetMulti
   SetToMultiset(E) : SetEnum -> SetMulti
   Set_Multiset (Example H9E4)

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013