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Subindex: Reduce  ..  ReducedGramMatrix


Reduce

   GaussReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt
   GaussReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt
   MinimizeReduce(S) : SrfDelPezzo -> SrfDelPezzo, Mtrx
   MinimizeReduceCubicSurface(f) : MPolElt -> RngMPolElt, Mtrx
   MinimizeReduceDeg4delPezzo(f) : SeqEnum -> SeqEnum, Mtrx
   MinimizeReducePlaneQuartic(f) : MPolElt -> RngMPolElt, Mtrx
   PairReduce(L) : Lat -> Lat, AlgMatElt
   PairReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt
   PairReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt
   QuarticReduce(q) : RngUPolElt -> RngUPolElt, AlgMatElt
   Reduce(model) : ModelG1 -> ModelG1, Tup
   Reduce(H) : ModMatRng -> ModMatRng, Map
   Reduce(O) : RngFunOrd -> RngFunOrd
   Reduce(S) : [ AlgFrElt ] -> [ AlgFrElt ]
   Reduce(S) : [ RngMPolElt ] -> [ RngMPolElt ]
   ReduceCharacters(I, C) : [ AlgChtrElt ], [ AlgChtrElt ] -> [ AlgChtrElt ], [ AlgChtrElt ]
   ReduceCluster(X) : SeqEnum -> SeqEnum, Mtrx, Mtrx
   ReduceCubicSurface(f) : RngMPolElt -> RngMPolElt, Mtrx
   ReduceGenerators(G) : GrpFP -> GrpFP, Map
   ReduceGenerators(~G) : GrpPerm ->
   ReduceGroebnerBasis(S) : [ RngMPolElt ] -> [ RngMPolElt ]
   ReducePlaneCurve(f) : MPolElt -> RngMPolElt, Mtrx
   ReduceQuadrics(seq) : [RngMPolElt] -> [RngMPolElt], AlgMatElt, AlgMatElt
   ReduceToTriangleVertices(G,z) : GrpPSL2, SpcHypElt -> SpcHypElt
   ReduceVector(W, ~v) : ModTupRng, ModTupRngElt ->
   ReduceVector(W, v) : ModTupRng, ModTupRngElt -> ModTupRngElt
   ShimuraReduceUnit(delta, gammagens, G, D) : AlgAssVOrdElt, SeqEnum[AlgAssVOrdElt], GrpPSL2, SpcHyd -> SeqEnum
   ModRng_Reduce (Example H54E8)

reduce

   Pair Reduction (LATTICES)
   The Reduced Form of a Matrix Module (FREE MODULES)

ReduceCharacters

   ReduceCharacters(I, C) : [ AlgChtrElt ], [ AlgChtrElt ] -> [ AlgChtrElt ], [ AlgChtrElt ]

ReduceCluster

   ReduceCluster(X) : SeqEnum -> SeqEnum, Mtrx, Mtrx

ReduceCubicSurface

   ReduceCubicSurface(f) : RngMPolElt -> RngMPolElt, Mtrx

Reduced

   ReducedFactorisation(D) : DivSchElt -> SeqEnum
   ComputeReducedFactorisation(~D) : DivSchElt ->
   IsReduced(s) : GrphSpl -> BoolElt
   IsReduced(M) : ModMPol -> BoolElt
   IsReduced(p) : Pt -> BoolElt
   IsReduced(f) : QuadBinElt -> BoolElt
   IsReduced(R) : RootDtm -> BoolElt
   IsReduced(R) : RootStr -> BoolElt
   IsReduced(R) : RootSys -> BoolElt
   IsReduced(C) : Sch -> BoolElt
   IsReduced(X) : Sch -> BoolElt
   ReducedAteTPairing(Q, P, n, q) : PtEll, PtEll, RngIntElt, RngIntElt -> RngElt
   ReducedBasis(O) : AlgAssVOrd[RngOrd] -> [AlgAssVElt]
   ReducedBasis(S) : AlgQuatOrd[RngInt] -> SeqEnum
   ReducedBasis(S: Precision) : [JacHypPt] -> SeqEnum, AlgMatElt
   ReducedBasis(S) : [ PtEll ] -> [ PtEll ]
   ReducedDiscriminant(O) : RngOrd -> RngIntElt
   ReducedEtaTPairing(P, Q, n, q) : PtEll, PtEll, RngIntElt, RngIntElt -> RngElt
   ReducedForms(Q) : QuadBin -> [ QuadBinElt ]
   ReducedGramMatrix(S) : AlgQuatOrd[RngInt] -> AlgMatElt
   ReducedGramMatrix(S) : AlgQuatOrd[RngUPol] -> AlgMatElt, SeqEnum
   ReducedLegendreModel(C) : CrvCon -> CrvCon, MapIsoSch
   ReducedLegendrePolynomial(C) : CrvCon -> RngMPolElt, ModMatRngElt
   ReducedMinimalWeierstrassModel(C) : CrvHyp -> CrvHyp, MapIsoSch
   ReducedModel(C) : CrvHyp -> CrvHyp, MapIsoSch
   ReducedOrbits(Q) : QuadBin -> [ {@ QuadBinElt @} ]
   ReducedSubscheme(X) : Sch -> Sch, MapSch
   ReducedTatePairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt
   Reduction(f) : QuadBinElt -> QuadBinElt, Mtrx

reduced

   Creation of Reduced Modules (MODULES OVER MULTIVARIATE RINGS)
   Module Basics: Embedded and Reduced Modules (MODULES OVER MULTIVARIATE RINGS)

ReducedAteTPairing

   ReducedAteTPairing(Q, P, n, q) : PtEll, PtEll, RngIntElt, RngIntElt -> RngElt

ReducedBasis

   ReducedBasis(O) : AlgAssVOrd[RngOrd] -> [AlgAssVElt]
   ReducedBasis(S) : AlgQuatOrd[RngInt] -> SeqEnum
   ReducedBasis(S: Precision) : [JacHypPt] -> SeqEnum, AlgMatElt
   ReducedBasis(S) : [ PtEll ] -> [ PtEll ]
   ReducedGramMatrix(S) : AlgQuatOrd[RngUPol] -> AlgMatElt, SeqEnum

ReducedDiscriminant

   ReducedDiscriminant(O) : RngOrd -> RngIntElt

ReducedEtaTPairing

   ReducedEtaTPairing(P, Q, n, q) : PtEll, PtEll, RngIntElt, RngIntElt -> RngElt

ReducedFactorisation

   ReducedFactorisation(D) : DivSchElt -> SeqEnum
   ComputeReducedFactorisation(~D) : DivSchElt ->

ReducedForm

   ReducedForm(f) : QuadBinElt -> QuadBinElt, Mtrx
   Reduction(f) : QuadBinElt -> QuadBinElt, Mtrx

ReducedForms

   ReducedForms(Q) : QuadBin -> [ QuadBinElt ]

ReducedGramMatrix

   ReducedGramMatrix(S) : AlgQuatOrd[RngInt] -> AlgMatElt
   ReducedGramMatrix(S) : AlgQuatOrd[RngUPol] -> AlgMatElt, SeqEnum

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