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Subindex: product .. Projective
KSpace(K, n, F) : Fld, RngIntElt, Mtrx -> ModTupFld
Construction of a Vector Space with Inner Product Matrix (VECTOR SPACES)
Inner Products (FREE MODULES)
Operators (OVERVIEW)
Tensor Products (MATRIX GROUPS OVER FINITE FIELDS)
The Cartesian Product Constructors (SETS)
TUPLES AND CARTESIAN PRODUCTS
Unions and Products of Graphs (GRAPHS)
ProductCode(C, D) : Code, Code -> Code
DirectProduct(C, D) : Code, Code -> Code
ProductProjectiveSpace(k,N) : Rng,SeqEnum -> PrjScrl
ProductRepresentation(a) : FldFunGElt -> [FldFunGElt], [RngIntElt]
ProductRepresentation(a) : RngOrdElt -> [ RngOrdElt ], [ RngIntElt ]
ProductRepresentation(P, E) : [ FldAlgElt ], [ RngIntElt ] -> FldAlgElt
ProductRepresentation(Q, S) : [FldFunGElt], [RngIntElt] -> FldFunGElt
BasisProducts(A) : AlgGen -> [[ AlgGenElt ]]
BasisProducts(L) : AlgLie -> [[ AlgLieElt ]]
AlgMat_Products (Example H70E5)
GrpPerm_Products (Example H19E8)
Direct Products and Wreath Products (PERMUTATION GROUPS)
Inner Products and Duals (QUANTUM CODES)
Tensor Products of K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
ProfileGraph(): -> GrphDir
ProfileHTMLOutput(G, prefix): GrphDir, MonStgElt ->
ProfilePrintByTotalCount(G): GrphDir ->
ProfilePrintByTotalTime(G): GrphDir ->
ProfilePrintChildrenByCount(G, n): GrphDir, GrphVert ->
ProfilePrintChildrenByTime(G, n): GrphDir, GrphVert ->
ProfileReset(): ->
SetProfile(b): BoolElt ->
Prof_profile-reports (Example H6E2)
ProfileGraph(): -> GrphDir
ProfileHTMLOutput(G, prefix): GrphDir, MonStgElt ->
ProfilePrintByTotalCount(G): GrphDir ->
ProfilePrintByTotalTime(G): GrphDir ->
ProfilePrintChildrenByCount(G, n): GrphDir, GrphVert ->
ProfilePrintChildrenByTime(G, n): GrphDir, GrphVert ->
THE MAGMA PROFILER
Profiler Basics (THE MAGMA PROFILER)
Recursion and the Profiler (THE MAGMA PROFILER)
Profiler Basics (THE MAGMA PROFILER)
Prof_profiler-recursion (Example H6E3)
ProfileReset(): ->
Seq_Progression (Example H10E1)
Set_Progression (Example H9E5)
Sequences (OVERVIEW)
Sets (OVERVIEW)
The Arithmetic Progression Constructors (SEQUENCES)
The Arithmetic Progression Constructors (SETS)
Proj(R) : RngMPolRes -> Sch,Prj
ProjectiveSpace(R) : RngMPol -> Prj
Tangent and Secant Varieties and Isomorphic Projections (SCHEMES)
Crv_proj-cl-commutes (Example H98E9)
Isomorphic Projection to Subspaces (SCHEMES)
Isomorphic Projection to Subspaces (SCHEMES)
IsomorphicProjectionToSubspace(X) : Sch -> Sch, MapSch
Projection(X,Y) : Prj,Prj -> MapSch
Projection(X, Q) : Sch, Prj -> Sch, MapSch
ProjectionFromNonsingularPoint(X,p) : Sch,Pt -> Sch,MapSch,Sch
ProjectionOnto(A : parameters) : ModAbVar -> MapModAbVar
ProjectionFromNonsingularPoint(X,p) : Sch,Pt -> Sch,MapSch,Sch
ProjectionOntoImage(phi : parameters) : MapModAbVar -> MapModAbVar
ProjectionOnto(A : parameters) : ModAbVar -> MapModAbVar
ProjectionOntoImage(phi : parameters) : MapModAbVar -> MapModAbVar
ProjectionOnto(A : parameters) : ModAbVar -> MapModAbVar
CompactProjectiveResolution(M, n) : ModAlg, RngIntElt -> Rec
CompactProjectiveResolutionPGroup(M, n) : ModAlgBas, RngIntElt -> Rec
DimensionsOfProjectiveModules(B) : AlgBas -> SeqEnum
FactoredProjectiveOrder(a) : AlgMatElt -> [ <RngIntElt, RngIntElt> ]
FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
FactoredProjectiveOrder(A) : AlgMatElt -> [ <RngIntElt, RngIntElt> ], RngElt
FiniteProjectivePlane(D) : Inc -> Plane, PlanePtSet, PlaneLnSet
FiniteProjectivePlane(W) : ModTupFld -> PlaneProj
FiniteProjectivePlane< v | X : parameters > : RngIntElt, List -> PlaneProj
IsOrdinaryProjective(X) : Sch -> BoolElt
IsOrdinaryProjectiveSpace(X) : Sch -> BoolElt
IsProjective(C) : Code -> BoolElt
IsProjective(M) : ModAlg -> BoolElt, SeqEnum
IsProjective(X) : Sch -> BoolElt
IsProjective(X) : Sch -> BoolElt
MakeProjectiveClosureMap(A, P, S) : Aff,Prj,SeqEnum ->
PGO(arguments)
PGOMinus(arguments)
PGOPlus(arguments)
PSO(arguments)
PSOMinus(arguments)
PSOPlus(arguments)
ProductProjectiveSpace(k,N) : Rng,SeqEnum -> PrjScrl
ProjectiveClosure(f) : MapSch -> MapSch
ProjectiveClosure(A): Sch -> Sch
ProjectiveClosure(C) : Sch -> Sch
ProjectiveClosure(X) : Sch -> Sch
ProjectiveClosureMap(A) : Aff -> MapSch
ProjectiveCover(M) : ModAlg -> ModAlg, ModMatFldElt, SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt], SeqEnum[RngIntElt]
ProjectiveEmbedding(P) : PlaneAff -> PlaneProj, PlanePtSet, PlaneLnSet, Map
ProjectiveFunction(f) : FldFunFracSchElt -> FldFracElt
ProjectiveFunction(f) : FldFunFracSchElt -> RngFunFracElt
ProjectiveGammaLinearGroup(arguments)
ProjectiveGammaUnitaryGroup(arguments)
ProjectiveGeneralLinearGroup(arguments)
ProjectiveGeneralUnitaryGroup(arguments)
ProjectiveMap(f, Y) : FldFunFracSchElt, Sch -> MapSch
ProjectiveMap(L, Y) : [FldFunFracSchElt], Sch -> MapSch
ProjectiveModule(B, i) : AlgBas, RngIntElt -> ModRng
ProjectiveModule(B, S) : AlgBas, SeqEnum[RngIntElt] -> ModAlg, SeqEnum, SeqEnum
ProjectiveOmega(arguments)
ProjectiveOmegaMinus(arguments)
ProjectiveOmegaPlus(arguments)
ProjectiveOrder(a) : AlgMatElt -> RngIntElt
ProjectiveOrder(A) : AlgMatElt -> RngIntElt, RngElt
ProjectiveOrder(g) : GrpMatElt -> RngIntElt, RngElt
ProjectiveRationalFunction(f) : FldFunFracSchElt -> FldFunRatMElt
ProjectiveResolution(M, n) : ModAlg, RngIntElt -> ModCpx, ModMatFldElt
ProjectiveResolution(M, n) : ModAlgBas, RngIntElt -> ModCpx, ModMatFldElt
ProjectiveResolution(PR) : Rec -> ModCpx, ModMatFldElt
ProjectiveResolutionPGroup(PR) : Rec -> ModCpx
ProjectiveSigmaLinearGroup(arguments)
ProjectiveSigmaSymplecticGroup(arguments)
ProjectiveSigmaUnitaryGroup(arguments)
ProjectiveSpace(k,n) : Rng,RngIntElt -> Prj
ProjectiveSpace(k,n) : Rng,RngIntElt -> Prj
ProjectiveSpace(R) : RngMPol -> Prj
ProjectiveSpecialLinearGroup(arguments)
ProjectiveSpecialUnitaryGroup(arguments)
ProjectiveSuzukiGroup(arguments)
ProjectiveSymplecticGroup(arguments)
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