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Subindex: pair  ..  Parameters


pair

   Pair Reduction (LATTICES)

pair-reduce

   Pair Reduction (LATTICES)

Pairing

   AteqPairing(P, Q, m, q) : PtEll, PtEll, RngIntElt, RngIntElt -> RngElt
   CasselsTatePairing(C, D) : Crv, CrvHyp -> RngIntElt
   CasselsTatePairing(C, D) : CrvHyp, CrvHyp -> RngIntElt
   EtaqPairing(P, Q, n, q) : PtEll, PtEll, RngIntElt, RngIntElt -> RngElt
   HeightPairing(P, Q: parameters) : JacHypPt, JacHypPt -> FldPrElt
   HeightPairing(P, Q: parameters) : PtEll, PtEll -> FldComElt
   HeightPairing(P, Q) : PtEll[FldFunG], PtEll[FldFunG] -> FldRatElt
   HeightPairingLattice(S) : [PtEll[FldFunG]] -> AlgMatElt, Map
   HeightPairingMatrix(S: parameters) : [PtEll] -> AlgMat
   HeightPairingMatrix(P : parameters) : [PtEll] -> AlgMatElt
   HeightPairingMatrix(S: Precision) : [JacHypPt] -> AlgMat
   HeightPairingMatrix(S) : SeqEnum[PtEll[FldFunG]] -> AlgMatElt
   IntersectionPairing(A) : ModAbVar -> AlgMatElt
   IntersectionPairing(H) : ModAbVarHomol -> AlgMatElt
   IntersectionPairing(x, y) : ModSymElt, ModSymElt -> FldRatElt
   IntersectionPairing(S, T) : ShfCoh, ShfCoh -> RngIntElt
   IntersectionPairingIntegral(A) : ModAbVar -> AlgMatElt
   MonodromyPairing(P, Q) : ModSSElt, ModSSElt -> RngIntElt
   ReducedTatePairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt
   TateLichtenbaumPairing(D1, D2, m) : DivFunElt, DivFunElt, RngIntElt -> RngElt
   TatePairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt
   WeilPairing(P, Q, m) : JacHypPt, JacHypPt, RngIntElt -> RngElt
   WeilPairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt
   WeilPairing(P, Q, n) : PtEll, PtEll, RngIntElt -> RngElt

pairing

   The Monodromy Pairing (SUPERSINGULAR DIVISORS ON MODULAR CURVES)

pairings

   Ate Pairing (ELLIPTIC CURVES OVER FINITE FIELDS)
   Eta Pairing (ELLIPTIC CURVES OVER FINITE FIELDS)
   Pairings on Elliptic Curves (ELLIPTIC CURVES OVER FINITE FIELDS)
   Tate Pairing (ELLIPTIC CURVES OVER FINITE FIELDS)
   Weil Pairing (ELLIPTIC CURVES OVER FINITE FIELDS)

PairingsFiniteFields

   CrvEllFldFin_PairingsFiniteFields (Example H121E7)

PairReduce

   PairReduce(L) : Lat -> Lat, AlgMatElt
   PairReduce(X) : ModMatRngElt -> ModMatRngElt, AlgMatElt

PairReduceGram

   PairReduceGram(F) : ModMatRngElt -> ModMatRngElt, AlgMatElt, RngIntElt

Pairs

   AllPairsShortestPaths(G : parameters) : Grph -> SeqEnum, SeqEnum
   DicksonPairs(p, h1, v1) : RngIntElt, RngIntElt, RngIntElt) -> SeqEnum
   DicksonPairs(p, hlo, hhi, vlo, vhi ) : RngIntElt, RngIntElt, RngIntElt, RngIntElt, RngIntElt) -> SeqEnum
   ExtraspecialPairs(R) : RootDtm -> SeqEnum
   NumExtraspecialPairs(R) : RootDtm -> SeqEnum

Paley

   PaleyGraph(q) : RngIntElt -> GrphUnd
   PaleyTournament(q) : RngIntElt -> GrphDir

PaleyGraph

   PaleyGraph(q) : RngIntElt -> GrphUnd

PaleyTournament

   PaleyTournament(q) : RngIntElt -> GrphDir

Parabolic

   IsParabolicSubgroup(W, H) : GrpPermCox, GrpPermCox -> BoolElt
   IsStandardParabolicSubgroup(W, H) : GrpPermCox, GrpPermCox -> BoolElt
   StandardParabolicSubgroup(W, J) : GrpPermCox, () -> GrpPermCox

Parabolics

   MaximalParabolics(C) : CosetGeom -> SetIndx
   MaxParabolics(C) : CosetGeom -> SetIndx
   MinParabolics(C) : CosetGeom -> SetIndx

Parallel

   AllParallelClasses(D) : Inc -> SeqEnum
   HasParallelClass(D) : Inc -> BoolElt, { IncBlk }
   IsParallel(P, l, m) : Plane, PlaneLn, PlaneLn -> BoolElt
   IsParallelClass(D, B, C) : Inc, IncBlk, IncBlk -> BoolElt, { IncBlk }
   IsProductOfParallelDescendingCycles(p) : GrpPermElt -> BoolElt
   ParallelClass(P, l) : Plane, PlaneLn -> { PlaneLn }
   ParallelClasses(P) : PlaneAff -> { { PlaneLn } }
   ParallelSort(~S, ~T) : SeqEnum, SeqEnum ->

ParallelClass

   ParallelClass(P, l) : Plane, PlaneLn -> { PlaneLn }

ParallelClasses

   ParallelClasses(P) : PlaneAff -> { { PlaneLn } }

Parallelism

   HasParallelism(D: parameters) : Inc, RngIntElt -> BoolElt, { SetEnum }
   IsParallelism(D, P) : Inc, SetEnum[SetEnum] -> BoolElt, RngIntElt

Parallelisms

   AllParallelisms(D) : Inc -> SeqEnum

ParallelSort

   ParallelSort(~S, ~T) : SeqEnum, SeqEnum ->

param

   Parametrization of Rational Surfaces (ALGEBRAIC SURFACES)

param_spec

   Parametrization of Special Surfaces (ALGEBRAIC SURFACES)

Parameter

   OneParameterSubgroupsLattice(C) : RngCox -> TorLat
   OneParameterSubgroupsLattice(X) : TorVar -> TorLat
   UniformizingParameter(P) : PlcCrvElt -> FldFunFracSchElt
   UniformizingParameter(p) : Pt -> FldFunFracSchElt

parameter

   Attribute Selection (RING OF INTEGERS)
   Options and Controls (FINITELY PRESENTED ALGEBRAS)

Parameterization

   ModularParameterization(A) : ModAbVar -> MapModAbVar

Parameters

   ExtraSpecialParameters(G) : GrpMat -> [RngIntElt, RngIntElt]
   Parameters(D) : Dsgn -> Record
   PrincipalSeriesParameters(pi) : RepLoc -> GrpDrchElt, GrpDrchElt
   SetProcessParameters(~P: parameters) : GrpFPCosetEnumProc ->
   SimpleParameters(A) : AlgMat -> SeqEnum
   Func_Parameters (Example H2E2)

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