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Subindex: gr-curvesing  ..  Gram


gr-curvesing

   GrdRng_gr-curvesing (Example H117E4)

gr-fano

   GrdRng_gr-fano (Example H117E7)

gr-genus4curve

   GrdRng_gr-genus4curve (Example H117E1)

gr-grfirstgens

   GrdRng_gr-grfirstgens (Example H117E2)

gr-grpoints

   GrdRng_gr-grpoints (Example H117E3)

gr-k3surface

   GrdRng_gr-k3surface (Example H117E6)

gr-lists

   Accessing the Key Data (HILBERT SERIES OF POLARISED VARIETIES)
   Creating and Comparing K3 Surfaces (HILBERT SERIES OF POLARISED VARIETIES)
   Modifying K3 Surfaces (HILBERT SERIES OF POLARISED VARIETIES)
   Working with the K3 Database (HILBERT SERIES OF POLARISED VARIETIES)

gr-makedb

   Building Databases (HILBERT SERIES OF POLARISED VARIETIES)

gr-makek3db

   Creating Many K3 Surfaces (HILBERT SERIES OF POLARISED VARIETIES)
   K3 Surfaces as Records (HILBERT SERIES OF POLARISED VARIETIES)
   Reading the Raw Data (HILBERT SERIES OF POLARISED VARIETIES)
   The K3 Database (HILBERT SERIES OF POLARISED VARIETIES)
   Writing K3 Surfaces to a File (HILBERT SERIES OF POLARISED VARIETIES)
   Writing the Data and Index Files (HILBERT SERIES OF POLARISED VARIETIES)

gr-makenewdb

   Making New Databases (HILBERT SERIES OF POLARISED VARIETIES)

grad-ex

   Newton_grad-ex (Example H46E5)

Graded

   AssociatedGradedAlgebra(A) : AlgBas -> AlgBas
   BuildHomomorphismFromGradedCap(A, B, phi) : AlgBas, AlgBas, ModMatFldElt -> ModMatFldElt
   GradedAutomorphismGroup(A) : AlgBas -> GrpMat, SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt]
   GradedAutomorphismGroupMatchingIdempotents(A) : AlgBas -> GrpMat, SeqEnum, SecEnum
   GradedCapHomomorphism(A) : AlgBas -> ModMatFldElt
   GradedCapHomomorphism(A, B, mu) : AlgBas, AlgBas, ModMatFldElt -> ModMatFldElt
   GradedCone(D) : DivTorElt -> TorCon
   GradedCoverAlgebra(A) : AlgBas -> AlgBas, ModMatFldElt
   GradedModule(R, k) : Rng, RngIntElt -> ModMPol
   GradedModule(R, W) : Rng, [ RngIntElt ] -> ModMPol
   GradedModule(I) : RngMPol -> ModMPol
   IsGraded(M) : ModMPol -> BoolElt
   IsGraded(f) : ModMPolHom -> BoolElt
   IsGradedIsomorphic(A, B) : AlgBas, AlgBas -> Bool, ModMatFldElt
   GB_Graded (Example H105E2)

graded

   VariableWeights(P) : RngMPol -> [ RngIntElt ]
   Creation of Graded Polynomial Rings (GRÖBNER BASES)
   Graded Polynomial Rings (MULTIVARIATE POLYNOMIAL RINGS)

graded-weight

   Graded Polynomial Rings (MULTIVARIATE POLYNOMIAL RINGS)

GradedAutomorphismGroup

   GradedAutomorphismGroup(A) : AlgBas -> GrpMat, SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt], SeqEnum[ModMatFldElt]

GradedAutomorphismGroupMatchingIdempotents

   GradedAutomorphismGroupMatchingIdempotents(A) : AlgBas -> GrpMat, SeqEnum, SecEnum

GradedCapHomomorphism

   GradedCapHomomorphism(A) : AlgBas -> ModMatFldElt
   GradedCapHomomorphism(A, B, mu) : AlgBas, AlgBas, ModMatFldElt -> ModMatFldElt

GradedCone

   GradedCone(D) : DivTorElt -> TorCon

GradedCoverAlgebra

   GradedCoverAlgebra(A) : AlgBas -> AlgBas, ModMatFldElt

GradedGroupAlgebras

   AlgBas_GradedGroupAlgebras (Example H85E10)

GradedHomomorphism

   AlgBas_GradedHomomorphism (Example H85E6)

GradedHomomorphisms-2

   AlgBas_GradedHomomorphisms-2 (Example H85E7)

GradedModule

   GradedModule(R, k) : Rng, RngIntElt -> ModMPol
   GradedModule(R, W) : Rng, [ RngIntElt ] -> ModMPol
   GradedModule(I) : RngMPol -> ModMPol

Gradient

   GradientVector(F) : NwtnPgonFace -> Tup
   GradientVectors(N) : NwtnPgon -> [ Tup ]

GradientVector

   GradientVector(F) : NwtnPgonFace -> Tup

GradientVectors

   GradientVectors(N) : NwtnPgon -> [ Tup ]

Grading

   Grading(M) : ModMPol -> [ RngIntElt ]
   ColumnWeights(M) : ModMPol -> [ RngIntElt ]
   Grading(P) : RngMPol -> [ RngIntElt ]

Gradings

   Gradings(C) : RngCox -> RngIntElt
   Gradings(X) : Sch -> SeqEnum
   NumberOfGradings(C) : RngCox -> RngIntElt
   NumberOfGradings(X) : Sch -> RngIntElt
   NumberOfQuotientGradings(C) : RngCox -> RngIntElt
   NumberOfQuotientGradings(X) : TorVar -> SeqEnum
   QuotientGradings(C) : RngCox -> RngIntElt
   QuotientGradings(X) : TorVar -> SeqEnum

gradings

   Minimal Forms and Gradings (BASIC ALGEBRAS)

Gram

   DefiniteGramMatrix(B) : SeqEnum[AlgQuatElt] -> FldReElt
   Diagonalization(F) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt
   GaussReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt
   GramMatrix(S) : AlgQuatOrd -> AlgMatElt
   GramMatrix(L) : Lat -> AlgMatElt
   GramMatrix(L) : Lat -> Mtrx
   GramMatrix(M) : ModBrdt -> AlgMatElt
   GramMatrix(X) : ModMatRngElt : -> AlgMatElt
   GramMatrix(V) : ModTupRng -> AlgMatElt
   GramMatrix(f) : QuadBinElt -> AlgMatElt
   LatticeWithGram(F) : AlgMatElt -> Lat
   LatticeWithGram(G, F) : GrpMat, AlgMatElt -> Lat
   PairReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt
   ReducedGramMatrix(S) : AlgQuatOrd[RngInt] -> AlgMatElt
   ReducedGramMatrix(S) : AlgQuatOrd[RngUPol] -> AlgMatElt, SeqEnum
   SeysenGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt

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