[____] [____] [_____] [____] [__] [Index] [Root]

Index K


K

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

k

Elimination (k): elim (IDEAL THEORY AND GRÖBNER BASES)
Gathering the Data (THE K3 DATABASE)

k-build-prelude

Gathering the Data (THE K3 DATABASE)

k-key

k

K3

K3Database() : -> SeqEnum
K3Surface(g,B) : RngIntElt,SeqEnum -> VSrfK3
K3Surface(DB,i) : SeqEnum,RngIntElt -> VSrfK3
K3SurfaceFromAFR(DB,c,n) : SeqEnum,RngIntElt,RngIntElt -> VSrfK3
K3SurfacesFromBasket(DB,B) : SeqEnum,SeqEnum -> SeqEnum
K3SurfacesFromWeights(DB,W) : SeqEnum,SeqEnum -> SeqEnum

k3

EnriquesForm(X) : VSrfK3 -> SeqEnum
NoetherForm(X) : VSrfK3 -> SeqEnum
Accessing the K3 Database (THE K3 DATABASE)
An Example of Use of the Database (THE K3 DATABASE)
Building the K3 Database (THE K3 DATABASE)
Geometry and Basic Conventions (THE K3 DATABASE)
K3 Surfaces in the Database (THE K3 DATABASE)
Projection and Unprojection (THE K3 DATABASE)
Relations between K3 Surfaces (THE K3 DATABASE)
Searching the Database (THE K3 DATABASE)
The Database Itself (THE K3 DATABASE)
THE K3 DATABASE
Working with the Raw Elements (THE K3 DATABASE)

k3-baskets

K3_k3-baskets (Example H91E4)

k3-build

Building the K3 Database (THE K3 DATABASE)

k3-build-elements

Working with the Raw Elements (THE K3 DATABASE)

k3-creation

The Database Itself (THE K3 DATABASE)

k3-database

EnriquesForm(X) : VSrfK3 -> SeqEnum
NoetherForm(X) : VSrfK3 -> SeqEnum
Accessing the K3 Database (THE K3 DATABASE)
THE K3 DATABASE

k3-discussion

Geometry and Basic Conventions (THE K3 DATABASE)

k3-examples

An Example of Use of the Database (THE K3 DATABASE)

k3-projection

K3_k3-projection (Example H91E1)

k3-relations

Projection and Unprojection (THE K3 DATABASE)
Relations between K3 Surfaces (THE K3 DATABASE)

k3-searching

Searching the Database (THE K3 DATABASE)

k3-surfaces

EnriquesForm(X) : VSrfK3 -> SeqEnum
NoetherForm(X) : VSrfK3 -> SeqEnum
K3 Surfaces in the Database (THE K3 DATABASE)

k3-unprojection

K3_k3-unprojection (Example H91E2)

k3-unprojection-chain

K3_k3-unprojection-chain (Example H91E3)

K3Database

K3Database() : -> SeqEnum

K3Surface

K3Surface(g,B) : RngIntElt,SeqEnum -> VSrfK3
K3Surface(DB,i) : SeqEnum,RngIntElt -> VSrfK3

K3SurfaceFromAFR

K3SurfaceFromAFR(DB,c,n) : SeqEnum,RngIntElt,RngIntElt -> VSrfK3

K3SurfaceFromBasket

K3SurfaceFromBasket(DB,B) : SeqEnum,SeqEnum -> SeqEnum
K3SurfacesFromBasket(DB,B) : SeqEnum,SeqEnum -> SeqEnum

K3SurfaceFromWeights

K3SurfaceFromWeights(DB,W) : SeqEnum,SeqEnum -> VSrfK3
K3SurfacesFromWeights(DB,W) : SeqEnum,SeqEnum -> SeqEnum

K3SurfacesFromBasket

K3SurfaceFromBasket(DB,B) : SeqEnum,SeqEnum -> SeqEnum
K3SurfacesFromBasket(DB,B) : SeqEnum,SeqEnum -> SeqEnum

K3SurfacesFromWeights

K3SurfaceFromWeights(DB,W) : SeqEnum,SeqEnum -> VSrfK3
K3SurfacesFromWeights(DB,W) : SeqEnum,SeqEnum -> SeqEnum

K[G]

Construction of a K[G]-Module (MODULES OVER A MATRIX ALGEBRA)
General K[G]-Modules (MODULES OVER A MATRIX ALGEBRA)
Natural K[G]-Modules (MODULES OVER A MATRIX ALGEBRA)

K[G]-module

Construction of a K[G]-Module (MODULES OVER A MATRIX ALGEBRA)

Kant

SetKantPrecision(O, n) : RngOrd, RngIntElt ->
SetKantPrinting(f) : BoolElt -> BoolElt

KArc

CompleteKArc(P, k) : Plane, RngIntElt -> SetEnum

kArc

kArc(P, k) : Plane, RngIntElt -> SetEnum

KBessel

KBessel2(n, s) : FldPrElt, FldPrElt -> FldPrElt
KBessel(n, s) : FldPrElt, FldPrElt -> FldPrElt

KBessel2

KBessel2(n, s) : FldPrElt, FldPrElt -> FldPrElt
KBessel(n, s) : FldPrElt, FldPrElt -> FldPrElt

KCube

KCubeGraph(k) : RngIntElt -> GrphUnd

KCubeGraph

KCubeGraph(k) : RngIntElt -> GrphUnd

Keep

KeepAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum
[Future release] KeepDirect(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepElementary(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepElementaryAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepGeneratorAction(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepGeneratorOrder(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepPrimePower(SQP, p) : SQProc, RngIntElt -> SeqEnum
KeepSplit(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepSplitAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum
KeepSplitElementaryAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepAbelian

KeepAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepDirect

[Future release] KeepDirect(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepElementary

KeepElementary(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepElementaryAbelian

KeepElementaryAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepGeneratorAction

KeepGeneratorAction(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepGeneratorOrder

KeepGeneratorOrder(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepPrimePower

KeepPrimePower(SQP, p) : SQProc, RngIntElt -> SeqEnum

KeepSplit

KeepSplit(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepSplitAbelian

KeepSplitAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum

KeepSplitElementaryAbelian

KeepSplitElementaryAbelian(SQG, SQH) : SQProc, SQProc -> SeqEnum

Kerdock

KerdockCode(m): RngIntElt, RngUPolElt -> Code
KerdockCode(m, h): RngIntElt, RngUPolElt -> Code
CodeRng_Kerdock (Example H98E11)

KerdockCode

KerdockCode(m): RngIntElt, RngUPolElt -> Code
KerdockCode(m, h): RngIntElt, RngUPolElt -> Code

Kernel

ActionKernel(A, Y) : GrpPerm, GSet -> GrpPerm
ActionKernel(G, Y) : GrpPerm, GSet -> GrpPerm
ActionKernel(G, Y) : GrpPerm, GSet -> GrpPerm
ActionKernel(G, Y) : GrpPerm, GSet -> GrpPerm
AffineKernel(G) : GrpPerm -> GrpPerm
BlocksKernel(G, P) : GrpPerm, GSet -> GrpPerm
CosetKernel(G, H) : GrpFP, GrpFP -> GrpFP
CosetKernel(G, H) : Grp, Grp -> Grp
CosetKernel(G, H) : Grp, Grp -> Grp
CosetKernel(G, H) : Grp, Grp -> Grp
CosetKernel(G, H) : Grp, Grp -> Grp
CosetKernel(V) : GrpFPCos -> GrpFP
CosetKernel(P) : GrpFPCosetEnumProc -> GrpFP
CosetKernel(G, H) : GrpGPC, GrpGPC -> GrpGPC
CosetKernel(G, H) : GrpMat, GrpMat -> GrpMat
IsogenyFromKernel(E, psi) : CrvEll, RngUPolElt -> CrvEll, Map
IsogenyFromKernel(G) : CrvEllSubgroup -> CrvEll, Map
IsogenyFromKernelFactored(E, psi) : CrvEllSubgroup -> CrvEll, Map
IsogenyFromKernelFactored(G) : CrvEllSubgroup -> CrvEll, Map
Kernel(x) : AlgChtrElt -> Grp
Kernel(a) : AlgMatElt -> ModTup
Kernel(f) : Map -> Grp
Kernel(f) : Map -> Struct
Kernel(I) : Map -> CrvEllSubgroup
Kernel(f) : Map -> Grp
Kernel(f) : Map -> Grp
Kernel(f) : Map -> GrpPC
Kernel(f) : ModMatCpxElt -> ModCpx, ModMatCpxElt
Kernel(a) : ModMatElt -> ModTupFld
Kernel(f) : ModMatFldElt -> ModAlg,ModMatFldElt
Kernel(a) : ModMatRngElt -> ModTupRng
Kernel(I, M) : [Tup], ModSym -> ModSym
ModularKernel(M) : ModSym -> GrpAb
Nullspace(A) : Mtrx -> ModTupRng
NullspaceMatrix(A) : Mtrx -> ModTupRng
OrbitKernel(G, T) : GrpMat, Set -> GrpMat
OrbitKernel(G, T) : GrpPerm, GSet -> GrpPerm
OrbitKernelBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpMat
PolyMapKernel(f) : Map -> RngMPol
SocleKernel(G) : GrpPerm -> GrpPerm

kernel

(Co)Domain and (Co)Kernel (MAPPINGS)

KernelMatrix

KernelMatrix(A) : Mtrx -> ModTupRng
NullspaceMatrix(A) : Mtrx -> ModTupRng

Kernels

IntersectKernels(SQP, SQR) : SQProc, SQProc -> SQProc, Map, Map

key

Control-C key (OVERVIEW)
Key Bindings (Emacs and VI mode) (ENVIRONMENT AND OPTIONS)
Key Bindings in Emacs mode only (ENVIRONMENT AND OPTIONS)
Key Bindings in VI mode only (ENVIRONMENT AND OPTIONS)
Quitting (OVERVIEW)

key-binding-Emacs

<Meta>-F
Key Bindings in Emacs mode only (ENVIRONMENT AND OPTIONS)

key-binding-Emacs-VI

Key Bindings (Emacs and VI mode) (ENVIRONMENT AND OPTIONS)

key-binding-VI

Key Bindings in VI mode only (ENVIRONMENT AND OPTIONS)

Killing

KillingMatrix(L) : AlgLie -> AlgMatElt

KillingMatrix

KillingMatrix(L) : AlgLie -> AlgMatElt

Kind

BasisOfHolomorphicDifferentials(F) : FldFunG -> SeqEnum[DiffFunElt]
BasisOfDifferentialsFirstKind(F) : FldFunG -> SeqEnum[DiffFunElt]
SpaceOfDifferentialsFirstKind(C) : Crv -> ModFld, Map
SpaceOfDifferentialsFirstKind(F) : FldFunG -> ModFld, Map

kinds

Kinds of Series (POWER, LAURENT AND PUISEUX SERIES)

Kissing

KissingNumber(L) : Lat -> RngElt

KissingNumber

KissingNumber(L) : Lat -> RngElt

klein-quartic-code

Crv_klein-quartic-code (Example H82E22)

KMatrix

KMatrixSpace(K, m, n) : Fld, RngIntElt, RngIntElt -> ModMat
KMatrixSpaceWithBasis(Q) : [ ModMatRngElt ] -> ModMatRng
VectorSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map

KMatrixSpace

KMatrixSpace(K, m, n) : Fld, RngIntElt, RngIntElt -> ModMat
VectorSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map

KMatrixSpaceWithBasis

KMatrixSpaceWithBasis(Q) : [ ModMatRngElt ] -> ModMatRng

KModule

KModule(K, n) : Fld, RngIntElt -> ModTupFld
VectorSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
KMatrixSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
VectorSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld

KModuleWithBasis

KSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld
KModuleWithBasis(B) : [ModTupFldElt] -> ModTupFld
VectorSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld

Knapsack

Lat_Knapsack (Example H66E8)

Knot

Knot(P, C) : Plane, { PlanePt } -> PlanePt

Known

BestKnownLinearCode(K, n, k) : FldFin,RngIntElt,RngIntElt -> Code
BKLC(K, n, k) : FldFin,RngIntElt,RngIntElt -> Code
KnownIrreducibles(R) : AlgChtr -> SeqEnum
PointsKnown(C) : CrvHyp -> BoolElt

KnownIrreducibles

KnownIrreducibles(R) : AlgChtr -> SeqEnum

Knuth

KnuthEquivalent(w1, w2) : SeqEnum,SeqEnum -> BoolElt

KnuthEquivalent

KnuthEquivalent(w1, w2) : SeqEnum,SeqEnum -> BoolElt

Kodaira

Combinatorial and Geometrical Structures (OVERVIEW)
KodairaSymbol(E, p) : CrvEll, RngIntElt -> SymKod
KodairaSymbol(s) : MonStgElt -> SymKod
KodairaSymbols(E) : CrvEll -> [ SymKod ]
CrvEll_Kodaira (Example H85E15)

kodaira

Kodaira Symbols (ELLIPTIC CURVES)

KodairaSymbol

KodairaSymbol(E, p) : CrvEll, RngIntElt -> SymKod
KodairaSymbol(s) : MonStgElt -> SymKod

KodairaSymbols

KodairaSymbols(E) : CrvEll -> [ SymKod ]

KodSym

Combinatorial and Geometrical Structures (OVERVIEW)

Krawchouk

InverseKrawchouk(A, K, n) : RngUPolElt, FldFin, RngIntElt -> RngUPolElt
KrawchoukPolynomial(K, n, k) : FldFin, RngIntElt, RngIntElt -> RngUPolElt
KrawchoukTransform(f, K, n) : RngUPolElt, FldFin, RngIntElt -> RngUPolElt

krawchouk

Krawchouk Polynomials (LINEAR CODES OVER FINITE FIELDS)

KrawchoukPolynomial

KrawchoukPolynomial(K, n, k) : FldFin, RngIntElt, RngIntElt -> RngUPolElt

KrawchoukTransform

KrawchoukTransform(f, K, n) : RngUPolElt, FldFin, RngIntElt -> RngUPolElt

Kronecker

KroneckerCharacter(D) :RngIntElt -> GrpDrchElt
KroneckerCharacter(D, R) : RngIntElt, Rng -> GrpDrchElt
KroneckerProduct(A, B) : Mtrx, Mtrx -> Mtrx
KroneckerSymbol(n, m) : RngIntElt, RngIntElt -> RngIntElt

KroneckerCharacter

KroneckerCharacter(D) :RngIntElt -> GrpDrchElt
KroneckerCharacter(D, R) : RngIntElt, Rng -> GrpDrchElt

KroneckerProduct

KroneckerProduct(A, B) : Mtrx, Mtrx -> Mtrx

KroneckerSymbol

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

KSpace

KSpace(B) : AlgBas -> ModTupFld
VectorSpace(B) : AlgBas -> ModTupFld
VectorSpace(K, n) : Fld, RngIntElt -> ModTupFld
VectorSpace(K, n, F) : Fld, RngIntElt, Mtrx -> ModTupFld
VectorSpace(K, J) : FldCyc, Fld -> ModTupFld, Map
VectorSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
KMatrixSpace(V, F) : ModTupFld, Fld -> ModTupFld, Map
VectorSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld
KModuleWithBasis(B) : [ModTupFldElt] -> ModTupFld

KSpaceWithBasis

KSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld
KModuleWithBasis(B) : [ModTupFldElt] -> ModTupFld
VectorSpaceWithBasis(B) : [ModTupFldElt] -> ModTupFld

Kummer

KummerSurface(J) : JacHyp -> SrfKum

kummer

Arithmetic of Points (HYPERELLIPTIC CURVES)
Creation of a Kummer Surface (HYPERELLIPTIC CURVES)
Kummer Surfaces (HYPERELLIPTIC CURVES)

kummer-surfaces

BaseExtend(K, n): SrfKum, RngIntElt -> SrfKum
Kummer Surfaces (HYPERELLIPTIC CURVES)

kummer_pullback_points

RationalPoints(J, P) : JacHyp, SrfKumPt -> SetIndx
Pullback to the Jacobian (HYPERELLIPTIC CURVES)

kummer_rational_points

Rational Points on the Kummer Surface (HYPERELLIPTIC CURVES)

kummer_structure

Structure Operations (HYPERELLIPTIC CURVES)

KummerRationalPoints

CrvHyp_KummerRationalPoints (Example H86E13)

KummerSurface

KummerSurface(J) : JacHyp -> SrfKum

[____] [____] [_____] [____] [__] [Index] [Root]