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Subindex: NumberOfPositiveRoots  ..  Numerator


NumberOfPositiveRoots

   NumPosRoots(C) : AlgMatElt -> RngIntElt
   NumberOfPositiveRoots(C) : AlgMatElt -> RngIntElt
   NumberOfPositiveRoots(W) : GrpFPCox -> RngIntElt
   NumberOfPositiveRoots(G) : GrpLie -> RngIntElt
   NumberOfPositiveRoots(W) : GrpMat -> RngIntElt
   NumberOfPositiveRoots(W) : GrpPermCox -> RngIntElt
   NumberOfPositiveRoots(N) : MonStgElt -> .
   NumberOfPositiveRoots(R) : RootStr -> RngIntElt
   NumberOfPositiveRoots(R) : RootSys -> RngIntElt

NumberOfPrimePolynomials

   NumberOfPrimePolynomials(q, d) : RngIntElt, RngIntElt -> RngIntElt

NumberOfPrimitiveAffineGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfPrimitiveAlmostSimpleGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfPrimitiveDiagonalGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfPrimitiveGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfPrimitiveProductGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfPrimitiveSolubleGroups

   NumberOfPrimitiveSolubleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAffineGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveDiagonalGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveProductGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveAlmostSimpleGroups(d) : RngIntElt -> RngIntElt
   NumberOfPrimitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfProjectives

   NumberOfProjectives(B) : AlgBas -> RngIntElt

NumberOfPunctures

   NumberOfPunctures(C): CrvPln -> RngIntElt

NumberOfQubits

   Nqubits(H) : HilbSpc -> RngIntElt
   NumberOfQubits(H) : HilbSpc -> RngIntElt

NumberOfQuotientGradings

   NumberOfQuotientGradings(C) : RngCox -> RngIntElt
   NumberOfQuotientGradings(X) : TorVar -> SeqEnum

NumberOfRationalPoints

   NumberOfRationalPoints(A) : ModAbVar -> RngIntElt, RngIntElt

NumberOfRelations

   Nrels(P) : GrpFPTietzeProc -> RngIntElt
   NumberOfRelations(P) : GrpFPTietzeProc -> RngIntElt
   NumberOfRelations(G) : GrpRWS -> RngIntElt
   NumberOfRelations(M) : MonRWS -> RngIntElt

NumberOfRelationsRequired

   NumberOfRelationsRequired(P) : NFSProc -> RngIntElt

NumberOfRepresentations

   NumberOfRepresentations(D, i): DB, RngIntElt -> RngIntElt

NumberOfRows

   Nrows(a) : AlgMatElt -> RngIntElt
   NumberOfRows(a) : AlgMatElt -> RngIntElt
   NumberOfRows(u) : ModTupFldElt -> RngIntElt
   NumberOfRows(A) : Mtrx -> RngIntElt
   NumberOfRows(A) : MtrxSprs -> RngIntElt
   NumberOfRows(t) : Tbl -> RngIntElt

NumberOfSkewRows

   NumberOfSkewRows(t) : Tbl -> RngIntElt

NumberOfSmallGroups

   NumberOfSmallGroups(o) : RngIntElt -> RngIntElt

NumberOfSmoothDivisors

   NumberOfSmoothDivisors(n, m, P) : RngIntElt, RngIntElt, SeqEnum[RngElt] -> RngElt

NumberOfSolubleIrreducibleMatrixGroups

   NumberOfSolubleIrreducibleMatrixGroups(k, p) : RngIntElt, RngIntElt -> RngIntElt
   NumberOfIrreducibleMatrixGroups(k, p) : RngIntElt, RngIntElt -> RngIntElt

NumberOfStandardTableaux

   NumberOfStandardTableaux(P) : SeqEnum -> RngIntElt

NumberOfStandardTableauxOnWeight

   NumberOfStandardTableauxOnWeight(n) : RngIntElt -> RngIntElt

NumberOfStrings

   NumberOfStrings(B) : GrpBrd -> RngIntElt

NumberOfStrongGenerators

   Nsgens(G) : GrpMat -> RngIntElt
   NumberOfStrongGenerators(G) : GrpMat -> RngIntElt
   NumberOfStrongGenerators(G) : GrpPerm -> RngIntElt
   NumberOfStrongGenerators(G, i) : GrpPerm, RngIntElt -> RngIntElt

NumberOfSubgroupsAbelianPGroup

   NumberOfSubgroupsAbelianPGroup (A) : SeqEnum -> SeqEnum

NumberOfSymmetricForms

   NumberOfSymmetricForms(G) : GrpMat -> RngIntElt
   NumberOfAntisymmetricForms(G) : GrpMat -> RngIntElt
   NumberOfInvariantForms(G) : GrpMat -> RngIntElt, RngIntElt
   NumberOfSymmetricForms(L) : Lat -> RngIntElt

NumberOfTableauxOnAlphabet

   NumberOfTableauxOnAlphabet(P, m) : SeqEnum,RngIntElt -> RngIntElt

NumberOfTransitiveGroups

   NumberOfTransitiveGroups(d) : RngIntElt -> RngIntElt

NumberOfVariables

   NumberOfVariables(L) : LP -> RngIntElt

NumberOfVariants

   NumberOfVariants(N) : NfdDck -> RngIntElt
   NumberOfVariants(q, v) : RngIntElt, RngIntElt -> RngIntElt

NumberOfVertices

   NumberOfVertices(P) : TorPol -> RngIntElt
   Order(G) : Grph -> RngIntElt
   Order(G) : GrphMult -> RngIntElt

NumberOfWords

   NumberOfWords(C, w) : Code, RngIntElt -> RngIntElt
   NumberOfWords(C, w) : Code, RngIntElt -> RngIntElt

Numbers

   ApparentEquationDegrees(X) : GRSch -> RngIntElt
   ApparentSyzygyDegrees(X) : GRSch -> RngIntElt
   BettiNumbers(X) : GRSch -> RngIntElt
   ApparentCodimension(X) : GRSch -> RngIntElt
   BettiNumbers(M) : ModMPol -> [ RngIntElt ]
   ExtensionNumbers(D, Q, p, r) : DB, MonStgElt, RngIntElt, RngIntElt -> SetEnum
   GapNumbers(C) : Crv -> [RngIntElt]
   GapNumbers(C, P) : Crv, PlcCrvElt -> [RngIntElt]
   GapNumbers(D) : DivCrvElt -> SeqEnum
   GapNumbers(D) : DivFunElt -> SeqEnum[RngIntElt]
   GapNumbers(D, P) : DivFunElt, PlcFunElt -> SeqEnum[RngIntElt]
   GapNumbers(F) : FldFunG -> SeqEnum[RngIntElt]
   GapNumbers(F, P) : FldFunG, PlcFunElt -> SeqEnum[RngIntElt]
   GapNumbers(p) : Pt -> SeqEnum
   IntersectionNumbers(C,D) : CrvPln,CrvPln -> List
   LinkingNumbers(s) : GrphSpl -> SeqEnum
   NumbersOfPointsOnSurface(E, e) : CrvEll, RngIntElt -> [ RngIntElt ], [ RngIntElt ]
   SumOfBettiNumbersOfSimpleModules(A, n) : AlgBas, RngIntElt -> RngIntElt
   TamagawaNumbers(E) : CrvEll -> [ RngIntElt ]

NumbersOfPointsOnSurface

   NumbersOfPointsOnSurface(E, e) : CrvEll, RngIntElt -> [ RngIntElt ], [ RngIntElt ]

numer

   ApparentEquationDegrees(f) : RngUPolElt -> RngIntElt
   ApparentSyzygyDegrees(f) : RngUPolElt -> RngIntElt
   Interpreting the Hilbert Numerator (HILBERT SERIES OF POLARISED VARIETIES)

Numerator

   HilbertNumerator(g, D) : FldFunRatUElt, SeqEnum -> FldFunRatUElt
   HilbertNumerator(X) : GRSch -> RngUPolElt
   HilbertNumerator(M) : ModMPol -> RngUPolElt, RngIntElt
   HilbertNumerator(I) : RngMPol -> RngUPol
   NoetherNumerator(X) : GRSch -> RngUPolElt
   Numerator(D) : DivCrvElt -> DivCrvElt
   Numerator(D) : DivFunElt -> DivFunElt
   Numerator(a) : FldAlgElt -> RngIntElt
   Numerator(a, O) : FldFunElt, RngFunOrd -> RngFunOrdElt
   Numerator(f, X) : FldFunFracSchElt, Sch -> MPolElt
   Numerator(a) : FldFunOrdElt -> RngFunOrdElt
   Numerator(a, O) : FldFunOrdElt, RngFunOrd -> RngElt
   Numerator(f) : FldFunRatElt -> RngElt
   Numerator(a) : FldNumElt -> RngIntElt
   Numerator(q) : FldRatElt -> RngIntElt
   Numerator(f) : RngFracElt -> RngElt
   Numerator(a) : RngFunFracElt -> RngMPolResElt

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