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

Index T


T

ChebyshevT(n) : RngIntElt -> RngUPolElt
ChebyshevFirst(n) : RngIntElt -> RngUPolElt

T-key

T<char>

t-key

t<char>

Tab-Access

Tableau_Tab-Access (Example H96E16)

Tab-check-standard

Tableau_Tab-check-standard (Example H96E17)

Tab-check-words

Tableau_Tab-check-words (Example H96E18)

Tab-Comp-Mult

Tableau_Tab-Comp-Mult (Example H96E20)

Tab-Jeu

Tableau_Tab-Jeu (Example H96E19)

tab-key

<Tab>

Tab-Random

Tableau_Tab-Random (Example H96E15)

Tabcreate-bang

Tableau_Tabcreate-bang (Example H96E12)

Tabcreate-basic

Tableau_Tabcreate-basic (Example H96E10)

Tabcreate-fingen

Tableau_Tabcreate-fingen (Example H96E11)

Table

Basis(R) : AlgChtr -> SeqEnum
CharacterTable(G) : Grp -> SeqEnum
CharacterTable(G) : GrpAb -> TabChtr
CharacterTable(G) : GrpFin -> TabChtr
CharacterTable(G) : GrpMat -> TabChtr
CharacterTable(G) : GrpPC -> TabChtr
CharacterTable(G) : GrpPerm -> TabChtr
ConstructTable(A) : AlgGrp ->
CosetTable(G, H) : Grp, Grp -> Hom(Grp)
CosetTable(G, H) : Grp, Grp -> Map
[Future release] CosetTable(G, f) : Grp, Hom(Grp) -> Hom(Grp)
CosetTable(G, H) : GrpFin, GrpFin -> Map
[Future release] CosetTable(G, f) : GrpFin, Hom(GrpFin) -> Hom(GrpFin)
CosetTable(P) : GrpFPCosetEnumProc -> Map
CosetTable(G, H) : GrpGPC, GrpGPC -> Map
CosetTable(G, H) : GrpPC, GrpPC -> Map
CosetTable(G, H: parameters) : GrpFP, GrpFP -> Map
CosetTableToPermutationGroup(G, T) : GrpFP, Map -> GrpPerm
CosetTableToRepresentation(G, T): GrpFP, Map -> Map, GrpPerm, Grp
HasClosedCosetTable(P) : GrpFPCosetEnumProc -> BoolElt
HasValidCosetTable(P) : GrpFPCosetEnumProc -> BoolElt
MultiplicationTable(O) : RngOrd -> [AlgMatElt]

table

Coset Spaces and Tables (FINITELY PRESENTED GROUPS)
Coset Tables (FINITELY PRESENTED GROUPS)
Coset Tables and Transversals (FINITE SOLUBLE GROUPS)
Coset Tables and Transversals (MATRIX GROUPS)

Tableau

RandomTableau(n) : RngIntElt -> Tbl
RandomTableau(S) : SeqEnum[RngIntElt] -> Tbl
Tableau(Q) : SeqEnum[MonOrdElt] -> Tbl
Tableau(Q) : SeqEnum[RngIntElt/2] -> Tbl
Tableau(S, Q) : SeqEnum[RngIntElt], SeqEnum[MonOrdElt] -> Tbl
Tableau(S, Q) : SeqEnum[RngIntElt], SeqEnum[RngIntElt/2] -> Tbl
TableauIntegerMonoid() : -> MonTbl
TableauMonoid(O) : MonOrd -> MonTbl
WordToTableau(w) : MonOrdElt -> Tbl

tableau

Random Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableau-random

Random Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)

TableauIntegerMonoid

TableauIntegerMonoid() : -> MonTbl

TableauMonoid

TableauMonoid(O) : MonOrd -> MonTbl

Tableaux

NumberOfStandardTableaux(P) : SeqEnum -> RngIntElt
NumberOfStandardTableauxOnWeight(n) : RngIntElt -> RngIntElt
NumberOfTableauxOnAlphabet(P, m) : SeqEnum,RngIntElt -> RngIntElt
StandardTableaux(P) : SeqEnum[RngIntElt] -> SetEnum
StandardTableauxOfWeight(n) : RngIntElt -> SetEnum
TableauxOfShape(S, m) : SeqEnum[RngIntElt], RngIntElt -> SetEnum
TableauxOnShapeWithContent(S, C) : SeqEnum[RngIntElt], SeqEnum[RngIntElt] -> SetEnum
TableauxWithContent(C) : SeqEnum[RngIntElt] -> SetEnum

tableaux

Basic Access Functions (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Counting Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Creation of Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Enumeration of Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Operations (PARTITIONS, WORDS AND YOUNG TABLEAUX)
PARTITIONS, WORDS AND YOUNG TABLEAUX
Properties (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Tableau Monoids (PARTITIONS, WORDS AND YOUNG TABLEAUX)
Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)
The Robinson-Schensted-Knuth Correspondence (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-access

Basic Access Functions (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-chap

PARTITIONS, WORDS AND YOUNG TABLEAUX

tableaux-combinatoric

Counting Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-create

Creation of Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-enumerate

Enumeration of Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-monoid

Tableau Monoids (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-operations

Operations (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-properties

Properties (PARTITIONS, WORDS AND YOUNG TABLEAUX)

tableaux-rsk

The Robinson-Schensted-Knuth Correspondence (PARTITIONS, WORDS AND YOUNG TABLEAUX)

TableauxOfShape

TableauxOfShape(S, m) : SeqEnum[RngIntElt], RngIntElt -> SetEnum

TableauxOnShapeWithContent

TableauxOnShapeWithContent(S, C) : SeqEnum[RngIntElt], SeqEnum[RngIntElt] -> SetEnum

TableauxWithContent

TableauxWithContent(C) : SeqEnum[RngIntElt] -> SetEnum

TabMonoid-fingen

Tableau_TabMonoid-fingen (Example H96E9)

TabMonoid-standard

Tableau_TabMonoid-standard (Example H96E8)

Tails

Tails(~P: parameters) : Process(pQuot) ->

Tamagawa

MinusTamagawaNumber(M) : ModSym -> RngIntElt
RealTamagawaNumber(M) : ModSym -> RngIntElt
TamagawaNumber(E, p) : CrvEll, RngIntElt -> RngIntElt
TamagawaNumber(M, p) : ModSym, RngIntElt -> RngIntElt
TamagawaNumbers(E) : CrvEll -> [ RngIntElt ]

TamagawaNumber

TamagawaNumber(E, p) : CrvEll, RngIntElt -> RngIntElt
TamagawaNumber(M, p) : ModSym, RngIntElt -> RngIntElt

TamagawaNumbers

TamagawaNumbers(E) : CrvEll -> [ RngIntElt ]

Tamely

IsTamelyRamified(K) : FldAlg -> BoolElt
IsTamelyRamified(O) : RngOrd -> BoolElt
IsTamelyRamified(P) : RngOrdIdl -> BoolElt
IsTamelyRamified(P, O) : RngOrdIdl, RngOrd -> BoolElt

Tan

Tan(c) : FldComElt -> FldComElt
Tan(f) : RngSerElt -> RngSerElt
Tan(f) : RngSerElt -> RngSerElt

Tangent

IsTangent(C,D,p) : Sch,Sch,Pt -> BoolElt
Tangent(P, A, p) : Plane, { PlanePt }, PlanePt -> PlaneLn
TangentCone(p) : Crv,Pt -> Crv
TangentCone(p) : Sch,Pt -> Sch
TangentLine(p) : Crv,Pt -> Crv
TangentSpace(p) : Sch,Pt -> Sch

TangentCone

TangentCone(p) : Crv,Pt -> Crv
TangentCone(p) : Sch,Pt -> Sch

TangentLine

TangentLine(p) : Crv,Pt -> Crv

Tangents

AllTangents(P, A) : Plane, { PlanePt } -> { PlaneLn }
AllTangents(P, U) : Plane, { PlanePt } -> { PlaneLn }

TangentSpace

TangentSpace(p) : Sch,Pt -> Sch

Tanh

Tanh(s) : FldPrElt -> FldPrElt
Tanh(f) : RngSerElt -> RngSerElt
Tanh(f) : RngSerElt -> RngSerElt

Taquin

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

Tate

TateLichtenbaumPairing(D1, D2, m) : DivFunElt, DivFunElt, RngIntElt -> RngElt

TateLichtenbaumPairing

TateLichtenbaumPairing(D1, D2, m) : DivFunElt, DivFunElt, RngIntElt -> RngElt

TCParameters

SetGlobalTCParameters(: parameters) : ->
UnsetGlobalTCParameters() : ->

Tell

Tell(F) : File -> RngIntElt

Tempname

Tempname(P) : MonStgElt -> MonStgElt

Tensor

DecomposeTensorProduct(D, w, x) : RootDtm, [ ], [ ] -> [ ModTupRngElt ], [ RngIntElt ]
IsTensor(G: parameters) : GrpMat -> BoolElt
IsTensorInduced(G : parameters) : GrpMat -> BoolElt
TensorBasis(G) : GrpMat -> GrpMatElt
TensorFactors(G) : GrpMat -> GrpMat, GrpMat
TensorInducedBasis(G) : GrpMat -> GrpMatElt
TensorInducedPermutations(G) : GrpMat -> SeqEnum
TensorPower(M, n) : ModGrp, RngIntElt -> ModGrp
TensorProduct(A, B) : AlgBas, AlgBas-> AlgBas
TensorProduct(A, B) : AlgMat, AlgMat -> AlgMat
TensorProduct(a, b) : AlgMatElt, AlgMatElt -> AlgMatElt
TensorProduct(G, H) : GrphDir, GrphDir -> GrphDir
TensorProduct(L, M) : Lat, Lat -> Lat
TensorProduct(M, N) : ModGrp, ModGrp -> ModGrp
TensorProduct(U, V) : ModTupFld, ModTupFld -> FldElt
TensorProduct(u, v) : ModTupFldElt, ModTupFldElt -> FldElt
TensorWreathProduct(G, H) : GrpMat, GrpPerm -> GrpMat
GrpMat_Tensor (Example H21E33)

tensor

Tensor Products (MATRIX GROUPS)
Tensor Products of K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)
Tensor-induced Groups (MATRIX GROUPS)

tensor-induction

Tensor-induced Groups (MATRIX GROUPS)

tensor-product

Tensor Products (MATRIX GROUPS)

tensor-products

Tensor Products of K[G]-Modules (K[G]-MODULES AND GROUP REPRESENTATIONS)

TensorBasis

TensorBasis(G) : GrpMat -> GrpMatElt

TensorFactors

TensorFactors(G) : GrpMat -> GrpMat, GrpMat

TensorInduced

GrpMat_TensorInduced (Example H21E34)

TensorInducedBasis

TensorInducedBasis(G) : GrpMat -> GrpMatElt

TensorInducedPermutations

TensorInducedPermutations(G) : GrpMat -> SeqEnum

TensorPower

TensorPower(M, n) : ModGrp, RngIntElt -> ModGrp

TensorProduct

TensorProduct(A, B) : AlgBas, AlgBas-> AlgBas
TensorProduct(A, B) : AlgMat, AlgMat -> AlgMat
TensorProduct(a, b) : AlgMatElt, AlgMatElt -> AlgMatElt
TensorProduct(G, H) : GrphDir, GrphDir -> GrphDir
TensorProduct(L, M) : Lat, Lat -> Lat
TensorProduct(M, N) : ModGrp, ModGrp -> ModGrp
TensorProduct(U, V) : ModTupFld, ModTupFld -> FldElt
TensorProduct(u, v) : ModTupFldElt, ModTupFldElt -> FldElt

TensorWreathProduct

TensorWreathProduct(G, H) : GrpMat, GrpPerm -> GrpMat

Term

IsZeroTerm(C, n) : ModCpx, RngIntElt -> BoolElt
LeadingTerm(x) : GrpGPCElt -> GrpGPCElt
LeadingTerm(x) : GrpPCElt -> GrpPCElt
LeadingTerm(f) : RngMPolElt -> RngMPolElt
LeadingTerm(f, i) : RngMPolElt, RngIntElt -> RngMPolElt
LeadingTerm(s) : RngPowLazElt -> RngPowLazElt
LeadingTerm(f) : RngSerElt -> RngElt
LeadingTerm(p) : RngUPolElt -> RngUPolElt
Term(C, n) : ModCpx, RngIntElt -> ModAlg
Term(f, i, k) : RngMPolElt, RngIntElt, RngIntElt -> RngMPolElt
TorusTerm( G, r, t ) : GrpLie, RngIntElt, . -> GrpLieElt
TrailingTerm(f) : RngMPolElt -> RngElt
TrailingTerm(f, i) : RngMPolElt, RngIntElt -> RngElt
TrailingTerm(p) : RngUPolElt -> RngUPolElt

term

Coefficients and Terms (UNIVARIATE POLYNOMIAL RINGS)
Coefficients, Monomials and Terms (MULTIVARIATE POLYNOMIAL RINGS)
Sequences (OVERVIEW)

termination

Control-C key (OVERVIEW)
Quitting (OVERVIEW)

terminology

Terminology (AUTOMATIC GROUPS)
Terminology (GROUPS DEFINED BY REWRITE SYSTEMS)
Terminology (MONOIDS GIVEN BY REWRITE SYSTEMS)

Terms

DimensionsOfTerms(C) : ModCpx -> SeqEnum
PrintTermsOfDegree(s, l, n) : RngPowLazElt, RngIntElt, RngIntElt ->
Terms(C) : ModCpx -> SeqEnum
Terms(f) : RngMPolElt -> [ RngMPolElt ]
Terms(f, i) : RngMPolElt, RngIntElt -> [ RngMPolElt ]
Terms(p) : RngUPolElt -> [ RngUPolElt ]

TernaryGolayCode

CodeFld_TernaryGolayCode (Example H101E1)
CodeRng_TernaryGolayCode (Example H102E1)

Test

DedekindTest(p, m) : RngUPolElt, RngIntElt -> Boolelt
HomogeneousModuleTest(P, S, F) : [ RngMPol ], [ RngMPol ], RngMPol -> BoolElt, [ RngMPol ]
HomogeneousModuleTest(P, S, F) : [ RngMPol ], [ RngMPol ], RngMPol -> BoolElt, [ RngMPol ]
HomogeneousModuleTest(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
HomogeneousModuleTest(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]
HomogeneousModuleTestBasis(P, S, L) : [ RngMPol ], [ RngMPol ], [ RngMPol ] -> [ BoolElt ], [ [ RngMPol ] ]

test

Singularity Analysis (PLANE ALGEBRAIC CURVES)

testinglabels

Testing for Labels (GRAPHS)

Tests

Boolean Tests on Subspaces (BRANDT MODULES)

tests

Basic Tests (SCHEMES)
Tests for Linear Systems (SCHEMES)

Tetrahedral

GrpFP_1_Tetrahedral (Example H19E8)

text

Strings (OVERVIEW)

Theorem

ChineseRemainderTheorem(I1, L1, e1, L2) : RngOrdIdl, [RngIntElt], RngOrdElt, [RngIntElt] -> RngOrdElt
ClassRepresentative(I) : RngOrdFracIdl -> RngOrdFracIdl
CRT(I1, L1, e1, L2) : RngOrdIdl, [RngIntElt], RngOrdElt, [RngIntElt] -> RngOrdElt
ChineseRemainderTheorem(I, J, a, b) : RngInt, RngInt, RngIntElt, RngIntElt -> RngIntElt
ChineseRemainderTheorem(I1, I2, e1, e2) : RngOrdIdl, RngOrdIdl, RngOrdElt, RngOrdElt -> RngOrdElt
ChineseRemainderTheorem(X, N) : [RngIntElt], [RngIntElt] -> RngIntElt

theory

Group Theoretic Functions (CLASS FIELD THEORY)
Ideal Theory of Orders (QUATERNION ALGEBRAS)
Representation Theory (POLYCYCLIC GROUPS)

Theta

JacobiTheta(q, z) : FldPrElt, FldPrElt -> FldPrElt
JacobiTheta(q, z) : FldPrElt, RngSerElt[FldPr] -> RngSerElt
JacobiThetaNullK(q, k) : FldPrElt, RngIntElt -> FldPr
ThetaOperator(M1, M2) : ModSym, ModSym -> Map
ThetaSeries(L, n) : Lat, RngIntElt -> RngSerElt
ThetaSeries(x, y, prec) : ModBrdtElt, ModBrdtElt, RngIntElt -> RngSerElt
ThetaSeries(f, n) : QuadBinElt, RngIntElt -> RngSerElt

theta

Successive Minima and Theta Series (LATTICES)

ThetaOperator

ThetaOperator(M1, M2) : ModSym, ModSym -> Map
ModSym_ThetaOperator (Example H90E16)

ThetaSeries

ThetaSeries(L, n) : Lat, RngIntElt -> RngSerElt
ThetaSeries(x, y, prec) : ModBrdtElt, ModBrdtElt, RngIntElt -> RngSerElt
ThetaSeries(f, n) : QuadBinElt, RngIntElt -> RngSerElt
Lat_ThetaSeries (Example H64E10)

Thick

IsThick(C) : CosetGeom -> BoolElt
IsThick(D) : IncGeom -> BoolElt

Thin

IsThin(C) : CosetGeom -> BoolElt
IsThin(D) : IncGeom -> BoolElt

ThreeInvols

GrpFP_1_ThreeInvols (Example H19E9)

Through

PushThroughIsogeny(I, v) : Map, RngUPolElt -> RngUPolElt

throwaway

Multiple Assignment (OVERVIEW)

Thue

Thue(O) : RngOrd -> Thue
Thue(f) : RngUPolElt -> Thue

thue

Thue Equations (ORDERS AND ALGEBRAIC FIELDS)
RngOrd_thue (Example H48E25)

Tietze

Elementary Tietze Transformations (FINITELY PRESENTED SEMIGROUPS)
TietzeProcess(G: parameters) : GrpFP -> Process(Tietze)

tietze

Tietze transformations (FINITELY PRESENTED GROUPS)

TietzeProcess

TietzeProcess(G: parameters) : GrpFP -> Process(Tietze)

tilde

Procedures (OVERVIEW)

Time

State_Time (Example H1E17)

time

Timing (OVERVIEW)
time statement;

times

Operators (OVERVIEW)

timing

Timing (STATEMENTS AND EXPRESSIONS)

to

Splice Diagrams from Resolution Graphs (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
Transfer to GrpPC (FINITE SOLUBLE GROUPS)

to-grp-pc

Transfer to GrpPC (FINITE SOLUBLE GROUPS)

Todd

Implicit Invocation of the Todd-Coxeter Algorithm (FINITELY PRESENTED GROUPS)
Index of a Subgroup: The Todd-Coxeter Algorithm (FINITELY PRESENTED GROUPS)
ShephardTodd(n) : RngIntElt -> GrpMat, Fld
ToddCoxeter(G, H: parameters) : GrpFP, GrpFP -> RngIntElt, Map, RngIntElt, RngIntElt
ToddCoxeterSchreier(G) : GrpMat : ->
ToddCoxeterSchreier(G: parameters) : GrpPerm : ->

ToddCoxeter

ToddCoxeter(G, H: parameters) : GrpFP, GrpFP -> RngIntElt, Map, RngIntElt, RngIntElt

ToddCoxeterSchreier

ToddCoxeterSchreier(G) : GrpMat : ->
ToddCoxeterSchreier(G: parameters) : GrpPerm : ->

tools

Soluble Quotient Process Tools (FP GROUPS - ADVANCED FEATURES)
Tools for the calculation of specific normal series (FP GROUPS - ADVANCED FEATURES)

tools-soluble-quotient-process

Soluble Quotient Process Tools (FP GROUPS - ADVANCED FEATURES)

tools-specific-normal-series

Tools for the calculation of specific normal series (FP GROUPS - ADVANCED FEATURES)

Top

Top(L) : SubFldLat -> SubFldLatElt
Top(L): SubGrpLat -> SubGrpLatElt
Top(L): SubModLat -> SubModLatElt
TopQuotients(D) : DB -> SetIndx

TopQuotients

TopQuotients(D) : DB -> SetIndx

tori

The Associated Complex Torus (MODULAR SYMBOLS)

Torsion

TorsionSubgroup(H) : SetPtEll -> GrpAb, Map
AbelianGroup(H) : SetPtEll -> GrpAb, Map
Invariants(A) : GrpAbGen -> [ RngIntElt ]
IsTorsionUnit(w) : RngOrdElt -> BoolElt
SetOrderTorsionUnit(O, e, r) : RngOrd, RngOrdElt, RngIntElt ->
TorsionBound(J, n) : JacHyp, RngIntElt -> RngIntElt
TorsionBound(M, maxp) : ModSym, RngIntElt -> RngIntElt
TorsionFreeRank(A) : GrpAb -> RngIntElt
TorsionFreeRank(G) : GrpFP -> RngIntElt
TorsionFreeSubgroup(A) : GrpAb -> GrpAb
TorsionInvariants(A) : GrpAb -> [ RngIntElt ]
TorsionSubgroup(A) : GrpAb -> GrpAb
TorsionSubgroup(J) : JacHyp -> GrpAb, Map
TorsionSubgroup(H) : SetPtEll -> GrpAb, Map
TorsionSubgroupScheme(G, n) : SchGrpEll, RngIntElt -> SchGrpEll
TorsionUnitGroup(O) : RngOrd -> GrpAb, Map
TwoTorsionPolynomial(E) : CrvEll -> RngMPolElt
TwoTorsionSubgroup(J) : JacHyp -> GrpAb, Map
TwoTorsionSubgroup(Q) : QuadBin -> GrpAb, Map

torsion_polynomials

Torsion Polynomials (ELLIPTIC CURVES)

TorsionBound

TorsionBound(J, n) : JacHyp, RngIntElt -> RngIntElt
TorsionBound(M, maxp) : ModSym, RngIntElt -> RngIntElt

TorsionFreeRank

TorsionFreeRank(A) : GrpAb -> RngIntElt
TorsionFreeRank(G) : GrpFP -> RngIntElt

TorsionFreeSubgroup

TorsionFreeSubgroup(A) : GrpAb -> GrpAb

TorsionGroups

CrvHyp_TorsionGroups (Example H88E11)

TorsionInvariants

TorsionInvariants(A) : GrpAbGen -> [ RngIntElt ]
Invariants(A) : GrpAbGen -> [ RngIntElt ]
TorsionInvariants(A) : GrpAb -> [ RngIntElt ]

TorsionSubgroup

TorsionSubgroup(H) : SetPtEll -> GrpAb, Map
AbelianGroup(H) : SetPtEll -> GrpAb, Map
TorsionSubgroup(A) : GrpAb -> GrpAb
TorsionSubgroup(J) : JacHyp -> GrpAb, Map
TorsionSubgroup(H) : SetPtEll -> GrpAb, Map

TorsionSubgroupScheme

TorsionSubgroupScheme(G, n) : SchGrpEll, RngIntElt -> SchGrpEll

TorsionUnitGroup

TorsionUnitGroup(O) : RngOrd -> GrpAb, Map

Torus

SubgroupOfTorus(M, x) : ModSym, ModSymElt -> RngIntElt
SubgroupOfTorus(M, s) : ModSym, SeqEnum -> GrpAb
TorusTerm( G, r, t ) : GrpLie, RngIntElt, . -> GrpLieElt

TorusTerm

TorusTerm( G, r, t ) : GrpLie, RngIntElt, . -> GrpLieElt

Total

LeadingTotalDegree(f) : RngMPolElt -> RngIntElt
TotalDegree(f) : FldFunRatElt -> RngIntElt
TotalDegree(L) : RngLoc -> RngIntElt
TotalDegree(f) : RngMPolElt -> RngIntElt
TotalLinking(v) : GrphSplVert -> RngIntElt
TotalNumberOfCosets(P) : GrpFPCosetEnumProc -> RngIntElt

TotalDegree

TotalDegree(f) : FldFunRatElt -> RngIntElt
TotalDegree(L) : RngLoc -> RngIntElt
TotalDegree(f) : RngMPolElt -> RngIntElt

TotalLinking

TotalLinking(v) : GrphSplVert -> RngIntElt

Totally

IsTotallyRamified(P) : RngOrdIdl -> BoolElt
IsTotallyRamified(P, O) : RngOrdIdl, RngOrd -> BoolElt
IsTotallySplit(P) : RngOrdIdl -> BoolElt
IsTotallySplit(P, O) : RngOrdIdl, RngOrd -> BoolElt
TotallyRamifiedExtension(L, g) : RngLoc, RngUPolElt -> RngLoc

TotallyRamifiedExtension

TotallyRamifiedExtension(L, g) : RngLoc, RngUPolElt -> RngLoc

TotalNumberOfCosets

TotalNumberOfCosets(P) : GrpFPCosetEnumProc -> RngIntElt

Tournament

PaleyTournament(q) : RngIntElt -> GrphDir

Trace

TraceAbs(a) : FldAlgElt -> FldRatElt
AbsoluteTrace(a) : FldAlgElt -> FldRatElt
AbsoluteTrace(a) : FldFinElt -> FldFinElt
LinearSystemTrace(L,X) : LinearSys,Sch -> LinearSys
Trace(a) : AlgGrpElt -> RngElt
Trace(a) : AlgMatElt -> RngElt
Trace(x) : AlgQuatElt -> FldElt
Trace(C, F) : Code, FldFin -> Code
Trace(a) : FldACElt -> FldACElt
Trace(a) : FldAlgElt -> FldAlgElt
Trace(a) : FldFinElt -> FldFinElt
Trace(a, E) : FldFinElt, FldFin -> FldFinElt
Trace(q) : FldRatElt -> FldRatElt
Trace(g) : GrpMatElt -> RngElt
Trace(u, F) : ModTupFldElt, Fld -> ModTupFldElt
Trace(u, S) : ModTupFldElt, FldFin -> ModTupFldElt
Trace(A) : Mtrx -> RngElt
Trace(n) : RngIntElt -> RngIntElt
Trace(x) : RngLocElt -> RngLocElt
Trace(H): SetPtEll -> RngIntElt
Trace(H, r): SetPtEll, RngIntElt -> RngIntElt
TraceMatrix(O) : RngOrd -> AlgMatElt

trace

Conjugates, Norm and Trace (RATIONAL FIELD)
Conjugates, Norm and Trace (RING OF INTEGERS)
Functions related to Norm and Trace (ALGEBRAIC FUNCTION FIELDS)
Minimal Polynomial, Norm and Trace (ALGEBRAICALLY CLOSED FIELDS)
Norm and Trace (FINITE FIELDS)
Norm and Trace Functions (LOCAL RINGS AND FIELDS)
Norm, Trace, and Minimal Polynomial (ORDERS AND ALGEBRAIC FIELDS)
Scheme_trace (Example H83E32)

TraceAbs

TraceAbs(a) : FldAlgElt -> FldRatElt
AbsoluteTrace(a) : FldAlgElt -> FldRatElt
AbsoluteTrace(a) : FldFinElt -> FldFinElt

Traceback

GetTraceback() : -> BoolElt
SetTraceback(n) : BoolElt ->
Traceback() : ->

TraceMatrix

TraceMatrix(O) : RngOrd -> AlgMatElt

TraceOfFrobenius

TraceOfFrobenius(H): SetPtEll -> RngIntElt
Trace(H): SetPtEll -> RngIntElt
Trace(H, r): SetPtEll, RngIntElt -> RngIntElt

Trailing

TrailingCoefficient(f) : RngMPolElt -> RngElt
TrailingCoefficient(f, i) : RngMPolElt, RngIntElt -> RngElt
TrailingCoefficient(p) : RngUPolElt -> RngElt
TrailingTerm(f) : RngMPolElt -> RngElt
TrailingTerm(f, i) : RngMPolElt, RngIntElt -> RngElt
TrailingTerm(p) : RngUPolElt -> RngUPolElt

TrailingCoefficient

TrailingCoefficient(f) : RngMPolElt -> RngElt
TrailingCoefficient(f, i) : RngMPolElt, RngIntElt -> RngElt
TrailingCoefficient(p) : RngUPolElt -> RngElt

TrailingTerm

TrailingTerm(f) : RngMPolElt -> RngElt
TrailingTerm(f, i) : RngMPolElt, RngIntElt -> RngElt
TrailingTerm(p) : RngUPolElt -> RngUPolElt

trans

Plane_trans (Example H99E16)

transcendental

Transcendental Extension (INTRODUCTION [BASIC RINGS])
Transcendental Functions (POWER, LAURENT AND PUISEUX SERIES)
Transcendental Functions (REAL AND COMPLEX FIELDS)

transcendental-extension

Transcendental Extension (INTRODUCTION [BASIC RINGS])

transfer

Transfer Between Group Categories (FINITE SOLUBLE GROUPS)
Transfer Functions Between Group Categories (GROUPS)

transfer-functions

Transfer Between Group Categories (FINITE SOLUBLE GROUPS)

Transform

InverseMattsonSolomonTransform(A, n) : RngUPolElt, RngIntElt -> RngUPolElt
KrawchoukTransform(f, K, n) : RngUPolElt, FldFin, RngIntElt -> RngUPolElt
MacWilliamsTransform(n, k, K, W) : RngIntElt, RngIntElt, FldFin, RngMPol -> RngMPol
MacWilliamsTransform(n, k, q, W) : RngIntElt, RngIntElt, RngIntElt, [ <RngIntElt, RngIntElt> ] -> [ <RngIntElt, RngIntElt> ]
MattsonSolomonTransform(f, n) : RngUPolElt, RngIntElt -> RngUPolElt

Transformation

QuadraticTransformation(P) : Prj -> MapSch
QuadraticTransformation(X) : Sch -> SchMap
Transformation(C, t) : CrvHyp, [RngElt] -> CrvHyp, MapIsoSch
TransformationMatrix(I) : RngFunOrdIdl -> AlgMatElt, RngElt
TransformationMatrix(O, P) : RngOrd -> AlgMatElt, RngIntElt
TransformationMatrix(I) : RngOrdFracIdl -> MtrxSpcElt, RngIntElt
CrvHyp_Transformation (Example H88E7)

transformation

Modules (OVERVIEW)
Operations with Linear Transformations (VECTOR SPACES)
VECTOR SPACES

TransformationMatrix

TransformationMatrix(I) : RngFunOrdIdl -> AlgMatElt, RngElt
TransformationMatrix(O, P) : RngOrd -> AlgMatElt, RngIntElt
TransformationMatrix(I) : RngOrdFracIdl -> MtrxSpcElt, RngIntElt

transforms

Isomorphisms and Transformations (HYPERELLIPTIC CURVES)
Transforms (LINEAR CODES OVER FINITE FIELDS)

Transitive

[Future release] IsArcTransitive(G, t) : GrphUnd, RngIntElt -> BoolElt
IsBlockTransitive(D) : Inc -> BoolElt
IsDistanceTransitive(G) : GrphUnd -> BoolElt
IsEdgeTransitive(G) : GrphUnd -> BoolElt
IsLineTransitive(P) : Plane -> BoolElt
IsPointTransitive(D) : Inc -> BoolElt
IsPointTransitive(P) : Plane -> BoolElt
IsSharplyTransitive(G, Y, k) : GrpPerm, GSet, RngIntElt -> BoolElt
IsTransitive(G) : GrphUnd -> BoolElt
IsTransitive(G, Y) : GrpPerm, GSet -> BoolElt
IsTransitive(G, Y, k) : GrpPerm, GSet, RngIntElt -> BoolElt
NumberOfTransitiveGroups(d) : RngIntElt -> RngIntElt
TransitiveGroup(d) : RngIntElt -> GrpPerm, MonStgElt
TransitiveGroup(d, f) : RngIntElt, Program -> GrpPerm, MonStgElt
TransitiveGroup(d, n) : RngIntElt, RngIntElt -> GrpPerm, MonStgElt
TransitiveGroup(S, f) : [RngIntElt], Program -> GrpPerm, MonStgElt
TransitiveGroupDatabaseLimit() : -> RngIntElt
TransitiveGroupDescription(d, n) : RngIntElt, RngIntElt -> MonStgElt
TransitiveGroupIdentification(G) : GrpPerm -> RngIntElt, RngIntElt
TransitiveGroupProcess(d) : RngIntElt -> Process
TransitiveGroupProcess(d, f) : RngIntElt, Program -> Process
TransitiveGroupProcess(S) : [RngIntElt] -> Process
TransitiveGroupProcess(S, f) : [RngIntElt], Program -> Process
TransitiveGroups(d: parameters) : RngIntElt -> [GrpPerm]
TransitiveGroups(S: parameters) : [RngIntElt] -> [GrpPerm]
TransitiveGroups(d, f) : RngIntElt, Program -> [GrpPerm]
TransitiveGroups(S, f) : [RngIntElt], Program -> [GrpPerm]
TransitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm
TwoTransitiveGroupIdentification(G) : GrpPerm -> Tup
GrpData_Transitive (Example H22E8)

TransitiveGroup

PrimitiveGroup(d) : RngIntElt -> GrpPerm, MonStgElt
TransitiveGroup(d) : RngIntElt -> GrpPerm, MonStgElt
TransitiveGroup(d, f) : RngIntElt, Program -> GrpPerm, MonStgElt
TransitiveGroup(d, n) : RngIntElt, RngIntElt -> GrpPerm, MonStgElt
TransitiveGroup(S, f) : [RngIntElt], Program -> GrpPerm, MonStgElt

TransitiveGroupDatabaseLimit

PrimitiveGroupDatabaseLimit() : -> RngIntElt
TransitiveGroupDatabaseLimit() : -> RngIntElt

TransitiveGroupDescription

PrimitiveGroupDescription(d, n) : RngIntElt, RngIntElt -> MonStgElt
TransitiveGroupDescription(d, n) : RngIntElt, RngIntElt -> MonStgElt

TransitiveGroupIdentification

TransitiveGroupIdentification(G) : GrpPerm -> RngIntElt, RngIntElt

TransitiveGroupProcess

PrimitiveGroupProcess(d) : RngIntElt -> Process
TransitiveGroupProcess(d) : RngIntElt -> Process
TransitiveGroupProcess(d, f) : RngIntElt, Program -> Process
TransitiveGroupProcess(S) : [RngIntElt] -> Process
TransitiveGroupProcess(S, f) : [RngIntElt], Program -> Process

TransitiveGroups

PrimitiveGroups(d: parameters) : RngIntElt -> [GrpPerm]
TransitiveGroups(d: parameters) : RngIntElt -> [GrpPerm]
TransitiveGroups(S: parameters) : [RngIntElt] -> [GrpPerm]
TransitiveGroups(d, f) : RngIntElt, Program -> [GrpPerm]
TransitiveGroups(S, f) : [RngIntElt], Program -> [GrpPerm]

TransitiveId

GrpData_TransitiveId (Example H22E10)

TransitiveProcess

GrpData_TransitiveProcess (Example H22E9)

TransitiveQuotient

TransitiveQuotient(G) : GrpPerm -> GrpPerm, Hom, GrpPerm

Transitivity

Transitivity(G, Y) : GrpPerm, GSet -> RngIntElt

Translation

BestTranslation( T ) : Tup -> Tup
IdentityAutomorphism(A) : Sch -> AutSch
Translation(P,p,q) : Prj, Pt, Pt -> MapSch
Translation(P,Q) : Prj, [Pt] -> MapSch
Translation(A,p) : Sch, Pt -> MapSch
Translation(X,p) : Sch, Pt -> MapSch
TranslationMap(E, P) : CrvEll, PtEll -> Map
TranslationOfSimplex(P,Q) : Prj, [Pt] -> MapSch
TranslationToInfinity(C,p) : Crv,Pt -> Crv,AutSch

translation

Abstract Function Fields (PLANE ALGEBRAIC CURVES)
Translation Between Graphs (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
Translation Planes (FINITE PLANES)
Scheme_translation (Example H83E27)

translation-planes

Translation Planes (FINITE PLANES)

translation-to-infinity

Crv_translation-to-infinity (Example H84E9)

TranslationMap

TranslationMap(E, P) : CrvEll, PtEll -> Map

TranslationOfSimplex

TranslationOfSimplex(P,Q) : Prj, [Pt] -> MapSch

TranslationToInfinity

TranslationToInfinity(C,p) : Crv,Pt -> Crv,AutSch

Transpose

MultiplyByTranspose(v, A) : ModTupRng, MtrxSprs -> ModTupRng
NullspaceOfTranspose(A) : Mtrx -> ModTupRng
NullspaceOfTranspose(A) : MtrxSprs -> ModTupRng
Transpose(a) : AlgMatElt -> AlgMatElt
Transpose(A) : Mtrx -> Mtrx

Transversal

Transversal(G, H) : GrpFP, GrpFP -> {@ GrpFPElt @}, Map
SchreierSystem(G, H) : GrpFP, GrpFP -> {@ GrpFPElt @}, Map
Transversal(G, H) : Grp, Grp -> {@ GrpElt @}, Map
Transversal(G, H) : GrpAb, GrpAb -> {@ GrpAbElt @}, Map
Transversal( W, H ) : GrpCox, GrpCox -> @ @
Transversal(G, H) : GrpFP, GrpFP -> {@ GrpFPElt @}, Map
Transversal(G, H, K) : GrpFP, GrpFP, GrpFP -> {@ GrpFPElt @}, Map
Transversal(P) : GrpFPCosetEnumProc -> {@ GrpFPElt @}, Map
Transversal(G, H) : GrpGPC, GrpGPC -> {@ GrpGPCElt @}, Map
Transversal(G, H) : GrpMat, GrpMat -> {@ GrpMatElt @}, Map
Transversal(G, H) : GrpPC, GrpPC -> {@ GrpPCElt @}, Map
Transversal(G, H, K) : GrpPC, GrpPC, GrpPC -> {@ GrpPCElt @}, Map
Transversal(G, H) : GrpPerm, GrpPerm -> {@ GrpPermElt @}, Map
Transversal(V, U): ModTupFld, ModTupFld -> { ModTupFldELt }
TransversalElt( W, H, x ) : GrpCox, GrpPermElt-> GrpPermElt
TransversalProcess(G, H) : GrpPerm, GrpPerm -> GrpPermTransProc
TransversalProcessNext(P) : GrpPermTransProc -> GrpPermElt
TransversalProcessRemaining(P) : GrpPermTransProc -> RngIntElt

transversal

RightTransversal(G, H) : GrpMat, GrpMat -> {@ GrpMatElt @}, Map
Coset Tables and Transversals (MATRIX GROUPS)

TransversalElt

TransversalElt( W, H, x ) : GrpCox, GrpPermElt-> GrpPermElt

TransversalProcess

TransversalProcess(G, H) : GrpPerm, GrpPerm -> GrpPermTransProc

TransversalProcessNext

TransversalProcessNext(P) : GrpPermTransProc -> GrpPermElt

TransversalProcessRemaining

TransversalProcessRemaining(P) : GrpPermTransProc -> RngIntElt

Transversals

GrpCox_Transversals (Example H34E3)

transversals

Coset Tables and Transversals (FINITE SOLUBLE GROUPS)
Cosets and Transversals (PERMUTATION GROUPS)
Transversals (PERMUTATION GROUPS)

Transverse

CalculateTransverseIntersections(~g) : GrphRes ->
IsTransverse(C,D,p) : Sch,Sch,Pt -> BoolElt
ModifyTransverseIntersection(~v,n) : GrphResVert,RngIntElt ->
TransverseIntersections(g) : GrphRes -> SeqEnum

TransverseIntersections

TransverseIntersections(g) : GrphRes -> SeqEnum

trap

Traps for Young Players (MAGMA SEMANTICS)

trap1

Trap 1 (MAGMA SEMANTICS)

trap2

Trap 2 (MAGMA SEMANTICS)

Trapezoidal

TrapezoidalQuadrature(f, a, b, n) : Program, FldPrElt, FldPrElt, RngIntElt -> FldPrElt

TrapezoidalQuadrature

TrapezoidalQuadrature(f, a, b, n) : Program, FldPrElt, FldPrElt, RngIntElt -> FldPrElt

Tree

BFSTree(u) : GrphVert -> Grph
BreadthFirstSearchTree(u) : GrphVert -> Grph
DepthFirstSearchTree(u) : GrphVert -> Grph
IsRootedTree(G) : GrphDir -> BoolElt, GrphVert
IsTree(G) : Grph -> BoolElt
PathTree(B, i) : AlgBas, RngIntElt -> ModRng
RandomTree(p: parameters) : RngIntElt -> GrphUnd
SpanningTree(G) : GrphUnd -> Grph

tree

Directed Trees (GRAPHS)
Spanning Trees of a Graph or Digraph (GRAPHS)

Trial

TrialDivision(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]
TrialDivision(n, B) : RngQuadElt, RngIntElt -> SeqEnum, SeqEnum, Tup

TrialDivision

TrialDivision(n) : RngIntElt -> RngIntEltFact, [ RngIntElt ]
TrialDivision(n, B) : RngQuadElt, RngIntElt -> SeqEnum, SeqEnum, Tup

Triangle

PascalTriangle(D) : Dsgn -> SeqEnum

Triangular

LowerTriangularMatrix(R, Q) : Rng, [ RngElt ] -> Mtrx
LowerTriangularMatrix(Q) : [ RngElt ] -> Mtrx
TriangularDecomposition(I) : RngMPol -> [ RngMPol ]
TriangularGraph(n) : RngIntElt -> GrphUnd
UpperTriangularMatrix(R, Q) : Rng, [ RngElt ] -> Mtrx
UpperTriangularMatrix(Q) : [ RngElt ] -> Mtrx

triangular

Triangular Decomposition (IDEAL THEORY AND GRÖBNER BASES)

triangular-decomposition

Triangular Decomposition (IDEAL THEORY AND GRÖBNER BASES)

TriangularDecomposition

TriangularDecomposition(I) : RngMPol -> [ RngMPol ]
GB_TriangularDecomposition (Example H66E19)

TriangularGraph

TriangularGraph(n) : RngIntElt -> GrphUnd

Tricomponents

[Future release] Tricomponents(G) : GrphUnd -> { { GrphVert } }

trigonal

Trigonal Curves (PLANE ALGEBRAIC CURVES)

trigonal-curve

Crv_trigonal-curve (Example H84E21)

trigonometric

Inverse Trigonometric Functions (REAL AND COMPLEX FIELDS)
Trigonometric Functions (REAL AND COMPLEX FIELDS)
Trigonometric Functions and their Inverses (POWER, LAURENT AND PUISEUX SERIES)

Trinomials

RngMPol_Trinomials (Example H43E7)

Trivial

IsTrivial(G) : Grp -> BoolElt
IsTrivial(x) : GrpDrchElt -> BoolElt
IsTrivial(G) : GrpPC -> BoolElt
IsTrivial(D) : Inc -> BoolElt
TrivialModule(G, K) : Grp, Fld -> ModGrp

trivial

Trivial Attributes (SCHEMES)

TrivialModule

TrivialModule(G, K) : Grp, Fld -> ModGrp

trngp_id

Transitive Group Identification (DATABASES OF GROUPS)

trngps

Basic Small Group Functions (DATABASES OF GROUPS)

true

Booleans (OVERVIEW)
true

Truncate

Truncate(q) : FldRatElt -> RngIntElt
Truncate(r) : FldReElt -> RngIntElt
Truncate(n) : RngIntElt -> RngIntElt
Truncate(f) : RngSerElt -> RngSerElt

Truncation

Truncation(C, t) : CosetGeom, Set -> CosetGeom
Truncation(D, t) : IncGeom, Set -> IncGeom

truncations

Truncations (INCIDENCE GEOMETRY)

Tuple

Tuplist(T) : Tup -> List
TupleToList(T) : Tup -> List
TupleToList(T) : Tup -> List
Tup_Tuple (Example H9E2)

tuple

Construction of Modules of n-tuples (FREE MODULES)
Creating and Modifying Tuples (TUPLES AND CARTESIAN PRODUCTS)
Tuple Access Functions (TUPLES AND CARTESIAN PRODUCTS)
TUPLES AND CARTESIAN PRODUCTS

tuple-access

Tuple Access Functions (TUPLES AND CARTESIAN PRODUCTS)

tuple-cartesian-product

TUPLES AND CARTESIAN PRODUCTS

tuple-module

Construction of Modules of n-tuples (FREE MODULES)

TupleAccess

Tup_TupleAccess (Example H9E3)

TupleToList

Tuplist(T) : Tup -> List
TupleToList(T) : Tup -> List
TupleToList(T) : Tup -> List

Tuplist

Tuplist(T) : Tup -> List
TupleToList(T) : Tup -> List
TupleToList(T) : Tup -> List

TutteCage

Graph_TutteCage (Example H97E2)

Twist

IsQuadraticTwist(E,F) : CrvEll -> BoolElt, RngElt
IsQuadraticTwist(C1, C2) : CrvHyp, CrvHyp -> BoolElt, RngElt
IsTwist(E,F) : CrvEll -> BoolElt
QuadraticTwist(E) : CrvEll -> CrvEll
QuadraticTwist(E, d) : CrvEll, RngElt -> CrvEll
QuadraticTwist(C) : CrvHyp -> CrvHyp
QuadraticTwist(C, d) : CrvHyp, RngElt -> CrvHyp

Twisted

TwistedQRCode(l,m) : RngIntElt,RngIntElt -> Code
TwistedWindingElement(M, i, eps) : ModSym, RngIntElt, GrpDrchElt -> ModSymElt
TwistedWindingSubmodule(M, j, eps) : ModSym, RngIntElt, GrpDrchElt -> ModTupFld

twisted-cubics

Scheme_twisted-cubics (Example H83E35)

TwistedQRCode

TwistedQRCode(l,m) : RngIntElt,RngIntElt -> Code

TwistedWindingElement

TwistedWindingElement(M, i, eps) : ModSym, RngIntElt, GrpDrchElt -> ModSymElt

TwistedWindingSubmodule

TwistedWindingSubmodule(M, j, eps) : ModSym, RngIntElt, GrpDrchElt -> ModTupFld

Twists

QuadraticTwists(E) : CrvEll -> SeqEnum
QuadraticTwists(C) : CrvHyp -> SeqEnum
Twists(E) : CrvEll -> SeqEnum
CrvEll_Twists (Example H87E29)

twists

Twisting Hyperelliptic Curves (HYPERELLIPTIC CURVES)
Twists of Elliptic Curves (ELLIPTIC CURVES)
Type Change Predicates (HYPERELLIPTIC CURVES)

Twists2

CrvEll_Twists2 (Example H87E8)

Two

ClassTwo(p, d : parameters) : RngIntElt, RngIntElt -> SeqEnum
TwoElement(I) : RngFunOrdIdl -> RngElt, RngElt
TwoElement(I) : RngOrdFracIdl -> FldOrdElt, FldOrdElt
TwoElementNormal(I) : RngInt -> RngIntElt, RngIntElt
TwoElementNormal(I) : RngOrdIdl -> RngOrdElt, RngOrdElt, RngIntElt
TwoGenerators(P) : PlcFunElt -> FldFunGElt, FldFunGElt
TwoSelmerGroupData(J: parameters) : JacHyp -> RngIntElt, RngIntElt, Tup, List
TwoSidedIdealClasses(S) : AlgQuatOrd -> [AlgQuatOrd]
TwoTorsionPolynomial(E) : CrvEll -> RngMPolElt
TwoTorsionSubgroup(J) : JacHyp -> GrpAb, Map
TwoTorsionSubgroup(Q) : QuadBin -> GrpAb, Map
TwoTransitiveGroupIdentification(G) : GrpPerm -> Tup

TwoElement

Two--Element Presentations (ORDERS AND ALGEBRAIC FIELDS)
TwoElement(I) : RngFunOrdIdl -> RngElt, RngElt
TwoElement(I) : RngOrdFracIdl -> FldOrdElt, FldOrdElt

TwoElementNormal

TwoElementNormal(I) : RngInt -> RngIntElt, RngIntElt
TwoElementNormal(I) : RngOrdIdl -> RngOrdElt, RngOrdElt, RngIntElt

TwoGenerators

TwoGenerators(P) : PlcFunElt -> FldFunGElt, FldFunGElt

TwoSelmerGroupData

TwoSelmerGroupData(J: parameters) : JacHyp -> RngIntElt, RngIntElt, Tup, List

TwoSidedIdealClasses

TwoSidedIdealClasses(S) : AlgQuatOrd -> [AlgQuatOrd]

TwoTorsionPolynomial

TwoTorsionPolynomial(E) : CrvEll -> RngMPolElt

TwoTorsionSubgroup

TwoTorsionSubgroup(J) : JacHyp -> GrpAb, Map
TwoTorsionSubgroup(Q) : QuadBin -> GrpAb, Map

TwoTransitiveGroupIdentification

TwoTransitiveGroupIdentification(G) : GrpPerm -> Tup

Type

Type(E) : CrvEll -> Cat
Category(E) : CrvEll -> Cat
Category(L) : Lat -> Cat
Category(S) : Obj -> Cat
Category(P) : PtEll -> Cat
Category(R) : Rng -> Cat
Category(r) : RngElt -> Cat
Category(G) : SchGrpEll -> Cat
Category(H) : SetPtEll -> Cat
ChangeRepresentationType(A, Rep) : AlgGrp, MonStgElt -> AlgGrp, Map
ClassicalType(G) : GrpMat -> MonStgElt
DecompositionType(A, p) : FldAb, PlcNumElt -> [Tpl]
DecompositionType(A, p) : FldAb, RngIntElt -> [Tpl]
DecompositionType(A, p) : FldAb, RngOrdIdl -> [Tpl]
DecompositionType(F, P) : FldFun, PlcFunElt -> [ <RngIntElt, RngIntElt> ]
DecompositionType(O) : RngFunOrd -> [ <RngIntElt, RngIntElt> ]
DecompositionType(O, p) : RngFunOrd, RngElt -> [ <RngIntElt, RngIntElt> ]
DecompositionTypeFrequency(A, a, b) : FldAb, RngIntElt, RngIntElt -> Mset
DecompositionTypeFrequency(A, l) : FldAb, [ ] -> Mset
ElementType(S) : Str -> Cat
FormType(G) : GrpMat -> MonStgElt
GroupOfLieType( C, R ) : AlgMatElt, Rng -> AlgMatElt
GroupOfLieType( W, R ) : GrpCox, Rng -> AlgMatElt
GroupOfLieType( n, R ) : MonStgElt, Rng -> AlgMatElt
GroupOfLieType( RD, R ) : RootDtm, Rng -> AlgMatElt
GroupOfLieType( RD, k ) : RootDtm, Rng -> GrpLie
GroupOfLieType( W, R ) : RootDtm, Rng -> GrpLie
HasCentreType(X,i) : VSrfK3,RngIntElt -> BoolElt
MakeType(S) : MonStgElt -> Cat
ModelType(X) : CrvMod -> MonStgElt
RepresentationType(A) : AlgGrp -> MonStgElt
SemiSimpleType(L) : AlgLie -> AlgLie
Type(x) : Elt -> Cat

type

Category (OVERVIEW)
GROUPS OF LIE TYPE
Parent and Category (INTRODUCTION [BASIC RINGS])
The Type of a Semisimple Lie Algebra (LIE ALGEBRAS)
Types, Category Names and Structures (STATEMENTS AND EXPRESSIONS)

Types

ListTypes() : ->
ListCategories() : ->
Types(C) : CosetGeom -> SetIndx
Types(D) : IncGeom -> SetIndx

types

Aside: Types of Schemes (SCHEMES)
Cartan Matrices (ROOT DATA FOR LIE THEORY)
Different Types of Scheme (SCHEMES)

TypeStructures

State_TypeStructures (Example H1E18)

typing

Dynamic Typing (MAGMA SEMANTICS)

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