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Subindex: solution  ..  Space


solution

   Linear Systems (Structured Gaussian Elimination) (SPARSE MATRICES)
   Nullspace (SPARSE MATRICES)
   Nullspaces and Solutions of Systems (MATRICES)
   Solutions of Systems of Linear Equations (MATRIX ALGEBRAS)

solution-equation

   Nullspace (SPARSE MATRICES)
   Nullspaces and Solutions of Systems (MATRICES)
   Solutions of Systems of Linear Equations (MATRIX ALGEBRAS)

Solutions

   Solutions(t, a) : Thue, RngIntElt -> [ [ RngIntElt, RngIntElt ] ]

Solutionspace

   DeleteNonsplitSolutionspace(SQP, p, i, k): SQProc, RngIntElt, RngIntElt, RngIntElt ->
   DeleteSplitSolutionspace(SQP, p, i, k): SQProc, RngIntElt, RngIntElt, RngIntElt ->

Solvable

   IsLocallySolvable(X, p) : Sch, RngOrdIdl -> BoolElt, Pt
   IsSoluble(L) : AlgLie -> BoolElt
   IsSoluble(D, o, n) : DB, RngIntElt, RngIntElt -> Grp
   IsSoluble(G) : GrpAb -> BoolElt
   IsSoluble(A) : GrpAuto -> BoolElt
   IsSoluble(G) : GrpFin -> BoolElt
   IsSoluble(G) : GrpGPC -> BoolElt
   IsSoluble(G) : GrpMat -> BoolElt
   IsSoluble(G) : GrpPC -> BoolElt
   IsSoluble(G) : GrpPerm -> BoolElt
   Radical(G) : GrpMat -> GrpMat
   Radical(G) : GrpPerm -> GrpPerm
   SolubleQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolubleRadical(L) : AlgLie -> AlgLie
   SolubleRadical(L) : AlgLie -> AlgLie
   SolubleResidual(G) : GrpFin -> GrpFin
   SolubleResidual(G) : GrpMat -> GrpMat
   SolubleResidual(G) : GrpPerm -> GrpPerm
   SolubleSchreier(G: parameters) : GrpPerm : ->
   SolubleSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
   SolvableQuotient(G): GrpMat -> GrpPC, Map
   SolvableQuotient(G): GrpPerm, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(G : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableSubgroups(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]

SolvableQuotient

   SolvableQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(G) : Grp -> GrpPC, Map
   SolubleQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(G): GrpMat -> GrpPC, Map
   SolvableQuotient(G): GrpPerm, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(G : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt
   SolvableQuotient(F, n : parameters): GrpFP, RngIntElt -> GrpPC, Map, SeqEnum, MonStgElt

SolvableRadical

   SolubleRadical(G) : GrpMat -> GrpMat
   SolvableRadical(G) : GrpMat -> GrpMat
   Radical(G) : GrpMat -> GrpMat
   Radical(G) : GrpPerm -> GrpPerm
   SolubleRadical(L) : AlgLie -> AlgLie
   SolubleRadical(L) : AlgLie -> AlgLie

SolvableResidual

   SolvableResidual(G) : GrpFin -> GrpFin
   SolubleResidual(G) : GrpFin -> GrpFin
   SolubleResidual(G) : GrpMat -> GrpMat
   SolubleResidual(G) : GrpPerm -> GrpPerm

SolvableSchreier

   SolvableSchreier(G: parameters) : GrpPerm : ->
   SolubleSchreier(G: parameters) : GrpPerm : ->

SolvableSubgroups

   SolvableSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
   SolubleSubgroups(G: parameters) : GrpFin -> [ rec< Grp, RngIntElt, RngIntElt, GrpFP> ]
   SolvableSubgroups(G: parameters) : GrpPerm -> [ rec< GrpPerm, RngIntElt, RngIntElt, GrpFP> ]

SOMinus

   SOMinus(arguments)
   SpecialOrthogonalGroupMinus(arguments)

SOPlus

   SOPlus(arguments)
   SpecialOrthogonalGroupPlus(arguments)

Sort

   Sort(~S) : SeqEnum ->
   Sort(~S, C) : SeqEnum, UserProgram ->
   SortDecomposition(D) : [ModBrdt] -> SeqEnum
   SortDecomposition(D) : [ModSym] -> SeqEnum

SortDecomposition

   SortDecomposition(D) : [ModBrdt] -> SeqEnum
   SortDecomposition(D) : [ModSym] -> SeqEnum

Sp

   PSigmaSp(arguments)
   ProjectiveSigmaSymplecticGroup(arguments)
   SymplecticGroup(arguments)

sp-vertices-ex

   Newton_sp-vertices-ex (Example H60E4)

Space

   AffinePlane(k) : Rng -> Aff
   AffineSpace(k,2) : Rng, RngIntElt -> Aff
   AffineSpace(k,n) : Rng,RngIntElt -> Aff
   AffineSpace(R) : RngMPol -> Aff
   Ambient(L) : LinSys -> Prj
   AmbientSpace(C) : Code -> ModTupRng
   AmbientSpace(C) : Code -> ModTupRng
   AmbientSpace(L) : Lat -> ModTupFld, Map
   AmbientSpace(C) : Sch -> Sch
   AmbientSpace(X) : Sch -> Sch
   AssociatedNewSpace(M) : ModSym -> ModSym
   [Future release] CircuitSpace(G) : GrphUnd -> ModTup
   ClassFunctionSpace(G) : Grp -> AlgChtr
   CoefficientSpace(L) : LinSys -> ModTupFld
   CoordinateSpace(L) : Lat -> ModTupFld, Map
   CosetSpace(P) : GrpFPCosetEnumProc -> GrpFPCos
   CosetSpace(G, H: parameters) : GrpFP, GrpFP: -> GrpFPCos
   DifferentialSpace(C) : Crv -> DiffFun
   DifferentialSpace(D) : DivCrvElt -> ModTup,Map
   DifferentialSpace(D) : DivFunElt -> ModFld, Map
   DifferentialSpace(D) : DivFunElt -> ModFld, Map
   DifferentialSpace(F) : FldFun -> DiffFun
   DifferentialSpace(F) : FldFunG -> DiffFun
   DualVectorSpace(M) : ModSym -> ModTupFld
   Image(a) : AlgMatElt -> ModTup
   InformationSpace(C) : Code -> ModTupFld
   IsAffineSpace(X) : Sch -> BoolElt
   IsAmbientSpace(M) : ModFrm -> BoolElt
   IsAmbientSpace(M) : ModSS -> BoolElt
   IsLinearSpace(D) : Inc -> BoolElt
   IsNearLinearSpace(D) : Inc -> BoolElt
   IsOrdinaryProjectiveSpace(X) : Sch -> BoolElt
   IsProjectiveSpace(X) : Sch -> BoolElt
   KMatrixSpace(K, m, n) : Fld, RngIntElt, RngIntElt -> ModMat
   KMatrixSpaceWithBasis(Q) : [ ModMatRngElt ] -> ModMatRng
   Kernel(a) : AlgMatElt -> ModTup
   Kernel(a) : ModMatElt -> ModTupFld
   Kernel(a) : ModMatRngElt -> ModTupRng
   LinearSpace(I) : Inc -> IncLsp
   LinearSpace< v | X : parameters > : RngIntElt, List -> IncLsp
   MinkowskiSpace(F) : FldAlg -> Lat, Map
   MinkowskiSpace(K) : FldNum -> KModTup, Map
   NearLinearSpace(I) : Inc -> IncNsp
   NearLinearSpace< v | X : parameters > : RngIntElt, List -> IncNsp
   NonsplitExtensionSpace(SQP): SQProc -> SeqEnum
   NormSpace(A) : AlgQuat -> ModTupFld
   ProductProjectiveSpace(k,N) : Rng,SeqEnum -> PrjScrl
   ProjectiveSpace(k,2) : Rng,RngIntElt -> Prj
   ProjectiveSpace(k,n) : Rng,RngIntElt -> Prj
   ProjectiveSpace(R) : RngMPol -> Prj
   RMatrixSpace(R, m, n) : Rng, RngIntElt, RngIntElt -> ModMatRng
   RMatrixSpace(R, m, n) : Rng, RngIntElt, RngIntElt -> ModMatRng
   RMatrixSpaceWithBasis(Q) : [ ModMatRngElt ] -> ModMatRng
   RMatrixSpaceWithBasis(Q) : [ModTupRngElt] -> ModMatRng
   RSpace(C) : Code -> ModTupRng
   RiemannRochSpace(D) : DivCrvElt -> ModTupFld,Map
   RiemannRochSpace(D) : DivFunElt -> ModFld, Map
   RightCosetSpace(P) : GrpFPCosetEnumProc -> GrpFPCos
   RightCosetSpace(G, H: parameters) : GrpFP, GrpFP -> GrpFPCos
   RootSpace( W ) : GrpMat -> Lat
   RootSpace( W ) : GrpPermCox -> .
   RootSpace( R ) : RootDtm -> Lat
   RootSpace( R ) : RootSys -> ModTupFld
   RowNullSpace(a) : AlgMatElt -> ModTup
   ShadowSpace(D,I) : IncGeom, Set -> Inc
   SpaceOfDifferentialsFirstKind(C) : Crv -> ModFld, Map
   SpaceOfDifferentialsFirstKind(F) : FldFunG -> ModFld, Map
   SplitExtensionSpace(SQP): SQProc -> SeqEnum
   SyndromeSpace(C) : Code -> ModTupFld
   TangentSpace(p) : Sch,Pt -> Sch
   VectorSpace(B) : AlgBas -> ModTupFld
   VectorSpace(K, n) : Fld, RngIntElt -> ModTupFld
   VectorSpace(K, n, F) : Fld, RngIntElt, Mtrx -> ModTupFld
   VectorSpace(K, J) : FldCyc, Fld -> ModTupFld, Map
   VectorSpace(F, E) : FldFin, FldFin -> ModTupFld, Map
   VectorSpace(F, E, B) : FldFin, FldFin, [ FldFinElt ] -> ModTupFld, Map
   VectorSpace(G) : GrpMat -> ModTupFld
   VectorSpace(M) : ModSym -> ModTupFld, Map, Map
   VectorSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
   VectorSpace(M) : ModTupRng -> ModTupRng
   VectorSpace(P) : Plane -> ModTupFld
   VectorSpace(Q) : RngMPolRes -> ModTupFld, Map
   VectorSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld


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