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Subindex: related-diff-ring-op-elts  ..  Relations


related-diff-ring-op-elts

   Related Differential Operators (DIFFERENTIAL RINGS)

related-functionality

   Related Functionality (MODELS OF GENUS ONE CURVES)

related-maps-diff-op-rings

   Related Maps (DIFFERENTIAL RINGS)

related-matrix

   Related Matrices (DIFFERENTIAL RINGS)

related-struct

   Related Structures (ALGEBRAIC FUNCTION FIELDS)

related-structures

   Related Structures (ROOT DATA)
   Related Structures (ROOT SYSTEMS)
   Related Structures of an Algebra Module (MODULES OVER AN ALGEBRA)
   FldFunG_related-structures (Example H42E8)

related-structures-diff-op-rings

   Related Structures (DIFFERENTIAL RINGS)

related-structures-diff-rings

   Related Structures (DIFFERENTIAL RINGS)

related-structures-rat-ext

   FldFunG_related-structures-rat-ext (Example H42E9)

Relation

   AddRelation(G, g) : GrpFP, GrpFPElt -> GrpFP
   AddRelation(G, g, i) : GrpFP, GrpFPElt, RngIntElt -> GrpFP
   AddRelation(G, r) : GrpFP, RelElt -> GrpFP
   AddRelation(G, r, i) : GrpFP, RelElt, RngIntElt -> GrpFP
   AddRelation(E) : RngOrdElt -> BoolElt
   AddRelation(S, r) : SgpFP, Rel -> SgpFP
   DeleteRelation(G, g) : GrpFP, GrpFPElt -> GrpFP
   DeleteRelation(G, r) : GrpFP, RelElt -> GrpFP
   DeleteRelation(G, i) : GrpFP, RngIntElt -> GrpFP
   DeleteRelation(S, r) : SgpFP, Rel -> SgpFP
   DeleteRelation(S, i) : SgpFP, RngIntElt -> SgpFP
   LinearRelation(q: parameters) : [ FldComElt ] -> [ RngIntElt ]
   PowerRelation(r, k: parameters) : FldReElt, RngIntElt -> RngUPolElt
   RelationIdeal(R) : RngInvar -> RngMPol
   RelationIdeal(Q) : [ RngMPol ] -> RngMPol
   RelationMatrix(K, B) : FldNum, RngIntElt -> ModHomElt
   RelationMatrix(A) : GrpAb -> Mtrx
   RelationMatrix(M) : ModMPol -> ModMatRngElt
   RelationMatrix(O) : RngOrd -> ModHomElt
   RelationModule(M) : ModMPol -> [ ModMPol ]
   ReplaceRelation(G, s, r) : GrpFP, RelElt, RelElt -> GrpFP
   ReplaceRelation(G, i, g) : GrpFP, RngIntElt, GrpFPElt -> GrpFP
   ReplaceRelation(G, i, r) : GrpFP, RngIntElt, RelElt -> GrpFP
   ReplaceRelation(S, r1, r2) : SgpFP, Rel, Rel -> SgpFP
   ReplaceRelation(S, i, r) : SgpFP, RngIntElt, Rel -> SgpFP
   VerifyRelation(f, F) : RngUPolElt, RngSLPolElt -> BoolElt

relation

   Relation Ideals (POLYNOMIAL RING IDEAL OPERATIONS)
   Relations (ABELIAN GROUPS)
   Relations (FINITELY PRESENTED GROUPS)
   Relations (FINITELY PRESENTED SEMIGROUPS)

RelationIdeal

   RelationIdeal(R) : RngInvar -> RngMPol
   RelationIdeal(Q) : [ RngMPol ] -> RngMPol
   Ideal_RelationIdeal (Example H106E8)

RelationMatrix

   RelationMatrix(K, B) : FldNum, RngIntElt -> ModHomElt
   RelationMatrix(A) : GrpAb -> Mtrx
   RelationMatrix(M) : ModMPol -> ModMatRngElt
   RelationMatrix(O) : RngOrd -> ModHomElt

RelationModule

   RelationModule(M) : ModMPol -> [ ModMPol ]

Relations

   AllLinearRelations(q,p): SeqEnum, RngIntElt -> Lat
   CollectRelations(~P) : GrpPCpQuotientProc ->
   FindRelations(P) : NFSProc -> RngIntElt
   FindRelationsInCWIFormat(P) : NFSProc -> RngIntElt
   LinearRelations(f) : RngUPolElt -> Mtrx, GaloisData
   LinearRelations(f, I) : RngUPolElt, [RngSLPolElt] -> Mtrx, GaloisData
   MinimalRelations(R) : Rec -> SeqEnum
   NumberOfRelations(P) : GrpFPTietzeProc -> RngIntElt
   NumberOfRelations(G) : GrpRWS -> RngIntElt
   NumberOfRelations(M) : MonRWS -> RngIntElt
   NumberOfRelationsRequired(P) : NFSProc -> RngIntElt
   Relations(A) : GrpAb -> [ Rel ]
   Relations(G) : GrpFP -> [ GrpFPRel ]
   Relations(G) : GrpRWS -> [GrpFPRel]
   Relations(M, d, prec) : ModFrm, RngIntElt, RngIntElt -> SeqEnum
   Relations(M) : ModMPol -> [ ModMPol ]
   Relations(M) : MonRWS -> [MonFPRel]
   Relations(R) : RngInvar -> [ RngMPolElt ]
   Relations(O) : RngOrd -> ModHomElt
   Relations(L, R) : SeqEnum[ DiffFunElt ], Rng -> ModTupRng
   Relations(L, R) : SeqEnum[ FldFunElt ], Rng -> ModTupRng
   Relations(S) : SgpFP -> [ Rel ]
   Relations(L) : [DiffCrvElt] -> ModTupFld
   Relations(S) : [FldFunFracSchElt[Crv]] -> ModTupRng
   RemoveLinearRelations(X) : Sch -> Sch, MapIsoSch
   GrpAb_Relations (Example H69E14)
   GrpAb_Relations (Example H69E2)
   GrpFP_1_Relations (Example H70E4)
   ModFrm_Relations (Example H132E20)
   RngInvar_Relations (Example H110E12)

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