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Subindex: j-key  ..  Join


j-key

   j

jac

   Points on the Jacobian (HYPERELLIPTIC CURVES)

Jac_Point_Counting

   CrvHyp_Jac_Point_Counting (Example H92E11)

Jac_WeilPairing

   CrvHyp_Jac_WeilPairing (Example H92E10)

Jacobi

   Jacobi(~P, c, b, a, ~r) : Process(pQuot), RngIntElt, RngIntElt, RngIntElt -> RngIntElt ->
   JacobiSymbol(n, m) : RngIntElt, RngIntElt -> RngIntElt
   JacobiTheta(q, z) : FldPrElt, FldPrElt -> FldPrElt
   JacobiTheta(q, z) : FldPrElt, RngSerElt[FldPr] -> RngSerElt
   JacobiThetaNullK(q, k) : FldPrElt, RngIntElt -> FldPr

jacobi

   The Jacobi theta and Dedekind eta-functions (REAL AND COMPLEX FIELDS)

jacobi-dedekind

   The Jacobi theta and Dedekind eta-functions (REAL AND COMPLEX FIELDS)

Jacobian

   Jacobian(C) : CrvHyp -> JacHyp
   JacobianIdeal(f) : RngMPolElt -> RngMPol
   JacobianIdeal(C) : Sch -> RngMPol
   JacobianIdeal(X) : Sch -> RngMPol
   JacobianMatrix(C) : Sch -> ModMatRngElt
   JacobianMatrix(X) : Sch -> ModMatRngElt
   JacobianMatrix( [ f ] ) : [ RngMPolElt ] -> RngMPol

jacobian

   BaseExtend(J, n) : JacHyp, RngIntElt -> JacHyp
   Jacobians (HYPERELLIPTIC CURVES)

jacobian_creation

   Creation of a Jacobian (HYPERELLIPTIC CURVES)

JacobianIdeal

   JacobianIdeal(f) : RngMPolElt -> RngMPol
   JacobianIdeal(C) : Sch -> RngMPol
   JacobianIdeal(X) : Sch -> RngMPol

JacobianMatrix

   JacobianMatrix(C) : Sch -> ModMatRngElt
   JacobianMatrix(X) : Sch -> ModMatRngElt
   JacobianMatrix( [ f ] ) : [ RngMPolElt ] -> RngMPol

JacobiSymbol

   JacobiSymbol(n, m) : RngIntElt, RngIntElt -> RngIntElt

JacobiTheta

   JacobiTheta(q, z) : FldPrElt, FldPrElt -> FldPrElt
   JacobiTheta(q, z) : FldPrElt, RngSerElt[FldPr] -> RngSerElt

JacobiThetaNullK

   JacobiThetaNullK(q, k) : FldPrElt, RngIntElt -> FldPr

Jacobson

   JacobsonRadical(A) : AlgGen -> AlgGen
   JacobsonRadical(M) : ModAlg -> ModAlg
   JacobsonRadical(M) : ModRng -> ModRng
   JacobsonRadical(e) : SubModLatElt -> SubModLatElt
   Nilradical(L) : AlgLie -> AlgLie

jacobson

   AlgGrp_jacobson (Example H72E4)

JacobsonRadical

   JacobsonRadical(A) : AlgGen -> AlgGen
   JacobsonRadical(M) : ModAlg -> ModAlg
   JacobsonRadical(M) : ModRng -> ModRng
   JacobsonRadical(e) : SubModLatElt -> SubModLatElt
   Nilradical(L) : AlgLie -> AlgLie

JBessel

   JBessel(n, s) : RngIntElt, FldPrElt -> FldPrElt

Jennings

   JenningsSeries(G) : GrpFin -> [ GrpFin ]
   JenningsSeries(G) : GrpMat -> [ GrpMat ]
   JenningsSeries(G) : GrpPC -> [GrpPC]
   JenningsSeries(G) : GrpPerm -> [ GrpPerm ]

JenningsSeries

   JenningsSeries(G) : GrpFin -> [ GrpFin ]
   JenningsSeries(G) : GrpMat -> [ GrpMat ]
   JenningsSeries(G) : GrpPC -> [GrpPC]
   JenningsSeries(G) : GrpPerm -> [ GrpPerm ]

Jeu

   InverseJeuDeTaquin(~t, i, j) : Tbl, RngIntElt, RngIntElt ->
   JeuDeTaquin(~t) : Tbl ->
   JeuDeTaquin(~t, i, j) : Tbl, RngIntElt, RngIntElt ->

JeuDeTaquin

   Rectify(~t) : Tbl ->
   JeuDeTaquin(~t) : Tbl ->
   JeuDeTaquin(~t, i, j) : Tbl, RngIntElt, RngIntElt ->

jFunction

   jFunction(X) : CrvMod -> FldFunElt

jInvariant

   jInvariant(E) : CrvEll -> RngElt
   jInvariant(s) : FldPrElt -> FldPrElt
   jInvariant(F) : QuadBinElt -> FldPrElt
   jInvariant(f) : QuadBinElt -> RngSerElt
   jInvariant(q) : RngSerElt -> RngSerElt
   jInvariant(L) : SeqEnum -> FldPrElt

jinvariant

   The j-invariant and the Discriminant (REAL AND COMPLEX FIELDS)

jinvariant-modular

   The j-invariant and the Discriminant (REAL AND COMPLEX FIELDS)

JInvariants

   JInvariants(f: parameters) : RngUPolElt -> SeqEnum
   IgusaInvariants(f: parameters) : RngUPolElt -> SeqEnum
   IgusaInvariants(C: parameters): CrvHyp -> SeqEnum
   IgusaInvariants(f, h): RngUPolElt, RngUPolElt -> SeqEnum

Johnson

   JohnsonBound(n, d) : RngIntElt, RngIntElt -> RngIntElt

JohnsonBound

   JohnsonBound(n, d) : RngIntElt, RngIntElt -> RngIntElt

Join

   DiagonalJoin(X, Y) : ModMatRngElt, ModMatRngElt -> ModMatRngElt
   DiagonalJoin(X, Y) : Mtrx, Mtrx -> Mtrx
   DiagonalJoin(Q) : [ ModMatRngElt ] -> ModMatRngElt
   DiagonalJoin(Q) : [ Mtrx ] -> Mtrx
   HorizontalJoin(X, Y) : ModMatRngElt, ModMatRngElt -> ModMatRngElt
   HorizontalJoin(X, Y) : Mtrx, Mtrx -> Mtrx
   HorizontalJoin(Q) : [ ModMatRngElt ] -> ModMatRngElt
   HorizontalJoin(Q) : [ Mtrx ] -> Mtrx
   VerticalJoin(X, Y) : ModMatRngElt, ModMatRngElt -> ModMatRngElt
   VerticalJoin(X, Y) : Mtrx, Mtrx -> Mtrx
   VerticalJoin(Q) : [ ModMatRngElt ] -> ModMatRngElt
   VerticalJoin(Q) : [ Mtrx ] -> Mtrx


   Set_Join (Example H7E11)



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