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Index J


j-key

j

jac

Points on the Jacobian (HYPERELLIPTIC CURVES)

Jac_Point_Counting

CrvHyp_Jac_Point_Counting (Example H88E10)

Jac_WeilPairing

CrvHyp_Jac_WeilPairing (Example H88E9)

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 of Hyperelliptic Curves (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

jacobson

AlgGrp_jacobson (Example H74E4)

JacobsonRadical

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

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(h, f): 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)

join

Building Block Matrices (MATRICES)
Union(G, H) : GrphUnd, GrphUnd -> GrphUnd
X join Y : Sch,Sch -> Sch
R join S : SetEnum, SetEnum -> SetEnum

Jordan

JordanForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
JordanForm(A) : Mtrx -> Mtrx, AlgMatElt, [ <RngUPolElt, RngIntElt> ]

jordan

AlgCon_jordan (Example H70E1)

JordanForm

JordanForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
JordanForm(A) : Mtrx -> Mtrx, AlgMatElt, [ <RngUPolElt, RngIntElt> ]

jump

The break statement (OVERVIEW)
The continue statement (OVERVIEW)

June

Release Notes V1.20-1 (8 January 1996) since June 1995 (OVERVIEW)

Justesen

JustesenCode(N, K) : Code, FldFinElt, RngIntElt -> Code

justesen

Reed--Solomon and Justesen Codes (LINEAR CODES OVER FINITE FIELDS)

JustesenCode

JustesenCode(N, K) : Code, FldFinElt, RngIntElt -> Code

Juxtaposition

CodeJuxtaposition(C1, C2) : Code,Code -> Code
Juxtaposition(C1, C2) : Code,Code -> Code

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