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Subindex: VarietySequence  ..  Vectors


VarietySequence

   VarietySequence(I) : RngMPol -> [ [ RngElt ] ]

VarietySizeOverAlgebraicClosure

   VarietySizeOverAlgebraicClosure(I) : RngMPol -> RngIntElt

Various

   State_Various (Example H1E19)

Varshamov

   GilbertVarshamovAsymptoticBound(K, delta) : FldFin, FldPrElt -> FldPrElt
   GilbertVarshamovBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt
   GilbertVarshamovLinearBound(K, n, d) : FldFin, RngIntElt, RngIntElt -> RngIntElt

Vector

   Creating Vectors (MATRICES)
   L ! [a,b,...] : TorLat,[RngIntElt] -> TorLatElt
   AddVectorToLattice(v) : TorLatElt -> TorLat,TorLatMap
   CharacteristicVector(M, S) : ModRng, { RngIntElt } -> ModRngElt
   CharacteristicVector(V, S) : ModTupFld, { RngElt } -> ModTupFldElt
   CoordinateVector(L, v) : Lat, LatElt -> LatElt
   CoordinateVector(v) : LatElt -> LatElt
   DecomposeVector(U, v) : ModTupRng, ModTupRngElt -> ModTupRngElt, ModTupRngElt
   DualVectorSpace(M) : ModSym -> ModTupFld
   GradientVector(F) : NwtnPgonFace -> Tup
   HasIsotropicVector(V) : ModTupFld -> BoolElt, ModTupFldElt
   HasSingularVector(V) : ModTupFld -> BoolElt, ModTupFldElt
   Lattice(H) : HomModAbVar -> Lat
   MinimalVectorSequence(f,n) : SeqEnum, RngIntElt -> SeqEnum
   NextVector(P) : LatEnumProc -> LatElt, RngElt
   PrimitiveLatticeVector(v) : TorLatElt -> TorLatElt
   RModule(M) : ModFrm -> ModTupRng, Map
   RSpace(C) : Code -> ModTupRng
   RealVectorSpace(H) : ModAbVarHomol -> ModTupFld
   ReduceVector(W, ~v) : ModTupRng, ModTupRngElt ->
   ReduceVector(W, v) : ModTupRng, ModTupRngElt -> ModTupRngElt
   SchreierVector(G, i) : GrpPerm, RngIntElt -> [RngIntElt]
   UnitVector(M, i) : ModMPol, RngIntElt -> ModMPolElt
   Vector(f) : ModMPolElt -> ModTupRngElt
   Vector(R, n, Q) : Rng, RngIntElt, [ RngElt ] -> ModTupRngElt
   Vector(R, Q) : Rng, [ RngElt ] -> ModTupRngElt
   Vector(n, Q) : RngIntElt, [ RngElt ] -> ModTupRngElt
   Vector(Q) : [ RngElt ] -> ModTupRngElt
   VectorSpace(B) : AlgBas -> ModTupFld
   VectorSpace(A) : AlgFP -> ModTupFld, Map
   VectorSpace(K, n) : Fld, RngIntElt -> ModTupFld
   VectorSpace(K, n, F) : Fld, RngIntElt, Mtrx -> ModTupFld
   VectorSpace(K, J) : FldAlg, Fld -> ModTupFld, Map
   VectorSpace(F, E) : FldFin, FldFin -> ModTupFld, Map
   VectorSpace(F, E, B) : FldFin, FldFin, [ FldFinElt ] -> ModTupFld, Map
   VectorSpace(K, J) : FldNum, Fld -> ModTupFld, Map
   VectorSpace(Q, Q) : FldRat, Fld -> ModTupFld, Map
   VectorSpace(G) : GrpMat -> ModTupFld
   VectorSpace(H) : ModAbVarHomol -> ModTupFld
   VectorSpace(M) : ModSym -> ModTupFld, Map, Map
   VectorSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
   VectorSpace(P) : Plane -> ModTupFld
   VectorSpace(Q) : RngMPolRes -> ModTupFld, Map
   VectorSpaceWithBasis(Q) : [ModTupFldElt] -> ModTupFld

vector

   Matrices and Vector Spaces Associated with a Graph or Digraph (GRAPHS)
   Representation (UNIVARIATE POLYNOMIAL RINGS)
   The Underlying Vector Space (MODULES OVER AN ALGEBRA)
   Vector Enumeration (FINITELY PRESENTED ALGEBRAS)
   Vector Enumeration (FINITELY PRESENTED ALGEBRAS)
   VECTOR SPACES

vector-enumeration

   Vector Enumeration (FINITELY PRESENTED ALGEBRAS)
   Vector Enumeration (FINITELY PRESENTED ALGEBRAS)

vector-space-linear-transformation

   VECTOR SPACES

vector-sparse-representation

   Representation (UNIVARIATE POLYNOMIAL RINGS)

vector_space_eg

   FldNum_vector_space_eg (Example H34E9)
   RngOrd_vector_space_eg (Example H37E11)

vector_spaces

   Representing Fields as Vector Spaces (NUMBER FIELDS)
   Representing Fields as Vector Spaces (ORDERS AND ALGEBRAIC FIELDS)

Vectors

   CloseVectors(L, w, u) : Lat, ModTupRngElt, RngElt -> [ <LatElt, RngElt> ]
   CloseVectorsMatrix(L, w, u) : Lat, ModTupRngElt, RngElt -> ModMatRngElt
   CloseVectorsProcess(L, w, u) : Lat, ModTupRngElt, RngElt -> LatEnumProc
   ClosestVectors(L, w) : Lat, ModTupRngElt -> [ LatElt ], RngElt
   ClosestVectorsMatrix(L, w) : Lat, ModTupRngElt -> ModMatRngElt, RngElt
   GradientVectors(N) : NwtnPgon -> [ Tup ]
   HighestWeightVectors(ρ) : Map -> [ModTupRngElt]
   HighestWeightsAndVectors(V) : ModAlg -> SeqEnum, SeqEnum
   HighestWeightsAndVectors(V) : ModAlg -> SeqEnum, SeqEnum
   MonomialOrderWeightVectors(P) : RngMPol -> [ [ FldRatElt ] ]
   MonomialOrderWeightVectors(R) : RngMPol -> [ [ FldRatElt ] ]
   SchreierVectors(G) : GrpPerm -> [ [RngIntElt] ]
   ShortVectors(L, u) : Lat, RngElt -> [ <LatElt, RngElt> ]
   ShortVectors(G, B) : Mtrx[RngUPol], RngIntElt -> SeqEnum
   ShortVectorsMatrix(L, u) : Lat, RngElt -> ModMatRngElt
   ShortVectorsProcess(L, u) : Lat, RngElt -> LatEnumProc
   ShortestVectors(L) : Lat -> [ LatElt ]
   ShortestVectors(G) : Mtrx[RngUPol] -> SeqEnum
   ShortestVectorsMatrix(L) : Lat -> ModMatRngElt
   VoronoiRelevantVectors(L) : Lat -> [ ModTupFldElt ]
   WeightVectors(ρ) : Map -> [ModTupRngElt]
   Weights(ρ) : Map -> [LatElt], [ModTupRngElt]
   Weights(ρ) : Map -> [ModTupRngElt]
   Weights(V) : ModAlg -> SeqEnum, SeqEnum
   WeightsAndVectors(V) : ModAlg -> SeqEnum, SeqEnum
   ModFld_Vectors (Example H28E3)

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Version: V2.19 of Mon Dec 17 14:40:36 EST 2012