[____] [____] [_____] [____] [__] [Index] [Root]
R ! a : AlgChtr, RngIntElt -> AlgChtrElt
A ! e : AlgFP, MonFPElt -> AlgFPElt
A ! Q : AlgGen, SeqEnum[RngElt] -> AlgGenElt
A ! g : AlgGrp, GrpElt -> AlgGrpElt
R ! g : AlgMat, GrpMatElt -> RngMatElt
R ! 1 : AlgMat, RngIntElt -> AlgMatElt
R ! Q : AlgMat, [ RngElt ] -> AlgMatElt
C ! [a_1, ..., a_n] : Code, [ FldFinElt ] -> ModTupFldElt
E ! [x, y, z] : CurveEll, [RngElt] -> CurveEllPt
K ! a : FldCyc, RngIntElt -> FldCycElt
K ! [a_0, ..., a_m - 1] : FldCyc, [FldCycElt] -> FldCycElt
K ! a : FldFun, RngElt -> FldFunElt
F ! [a, b] : FldFun, RngPolElt, RngPolElt -> FldFunElt
K ! a : FldNum, RngIntElt -> FldNumElt
F ! [a_0, a_1] : FldQuad, [FldRatElt] -> FldQuadElt
Q ! [a, b] : FldRat, RngIntElt, RngIntElt -> FldRatElt
R ! a : FldRe, RngElt -> FldReElt
G ! Q : Grp, [ Elt ] -> GrpElt
G ! g : GrpAb, GrpAbElt -> GrpAbElt
A ! [a_1, ... ,a_n] : GrpAb, [RngIntElt] -> GrpAbElt
G ! g : GrpBB, GrpBBElt -> GrpBBElt
G ! [ i_1, ..., i_s ] : GrpFP, [ RngIntElt ] -> GrpFPElt
E ! { u, v } : GrphEdgeSet, . -> GrphEdge
V ! v : GrphVertSet, . -> GrphVert
G ! Q : GrpMat, [ RngElt ] -> GrpMatElt
G ! g : GrpPC, GrpPCElt -> GrpPCElt
G ! Q : GrpPC, [RngIntElt] -> GrpPCElt
G ! g : GrpPerm, GrpPermElt -> GrpPermElt
G ! Q : GrpPerm, [ Elt ] -> GrpPermElt
B ! S : IncBlkSet, SetEnum -> IncBlk
P ! x : IncPtSet, Elt -> Incpt
L ! 0 : Lat, RngIntElt -> LatElt
L ! Q : Lat, [ RngElt ] -> LatElt
H ! f : ModMatRng, Map -> ModMatRngElt
M ! Q : ModMatRng, [RngElt] -> ModMatRngElt
M ! Q : ModMPol, [ RngElt ] -> ModMPolElt
V ! 0 : ModTupFld, RngIntElt -> ModTupFldElt
V ! Q : ModTupFld, [RngElt] -> ModTupFldElt
M ! Q : ModTupRng, [RngElt] -> ModTupRngElt
L ! [a, b, c] : PlaneLnSet, SeqEnum -> PlaneLn
V ! [a, b, c] : PlanePtSet, SeqEnum -> PlanePt
P ! S : PowSeqEnum, SeqEnum -> SeqEnum
P ! S : PowSetEnum, SetEnum -> SetEnum
Z ! a : RngInt, RngElt -> RngIntElt
R ! k : RngIntRes, RngIntElt -> RngIntResElt
R ! s : RngPowSer, SeqEnum -> RngPowSerElt
P ! s : RngUPol, RngElt -> RngPolElt
V ! r : RngVal, FldFunElt -> RngValElt
G ! Q : SgpFP, [ SgpFPElt ] -> SgpFPElt
S ! [i_1, ... i_s] : SgpFP, [RngIntElt] -> SgpFPElt
L ! i: SubGrpLat, RngIntElt -> SubGrpLatElt
IntegerRing() ! e : SubGrpLatElt -> RngIntElt
L ! i: SubModLat, RngIntElt -> SubModLatElt
IntegerRing() ! e : SubModLatElt -> RngIntElt
Identity(E) : CurveEll -> CurveEllPt
Identity(G) : Grp -> GrpPermElt
Identity(A) : GrpAb -> GrpAbElt
Identity(G) : GrpBB -> GrpBBElt
Identity(G) : GrpFP -> GrpFPElt
Identity(G) : GrpMat -> GrpMatElt
Identity(G) : GrpPC -> GrpPCElt
IdentityMap(E) : CurveEll -> Map
NegationMap(E) : CurveEll -> Map
One(B) : MagForm -> MagFormElt
Zero(M) : ModRng, RngIntElt -> ModRngElt
elt<F | a> : FldFin, RngElt -> FldFinElt
elt<R | a> : FldLoc, RngElt -> FldLocElt
elt<R | m, n> : FldRe, FldReElt, RngIntElt -> FldReElt
elt< B | a, b, c> : MagForm, RngIntElt, RngIntElt, RngIntElt -> MagFormElt
elt< R | a_1, ..., a_k :parameters> : AlgChtr, FldCycElt, ..., FldCycElt -> AlgChtrElt
elt< R | a > : RngMPol, RngElt -> RngMPolElt
elt< C | a_1, a_2, ..., a_k > : SetCart, Elt, ..., Elt -> Tup
Rings, Fields, and Algebras (OVERVIEW)
[Future release] # C : Elt -> RngIntElt
BlockDegree(D, B) : Inc, IncBlk -> RngIntElt
NumberOfBlocks(D) : Inc -> RngIntElt
NumberOfLines(P) : Plane -> RngIntElt
NumberOfPoints(D) : Inc -> RngInt
NumberOfPoints(P) : Plane -> RngIntElt
Order(G) : GrpFin -> RngIntElt
Order(G) : GrpPerm -> RngIntElt
Recursive functions (OVERVIEW)
&meet S : [ RngMPol ] -> RngMPol
x(g) : AlgChtrElt, GrpElt -> FldCycElt
f(r) : Hom(GrpFP), GrpFPRel -> GrpFPRel
(u, v) : ModTupFldElt, ModTupFldElt -> FldElt
(u, v) : ModTupFldElt, ModTupFldElt : -> RngElt
v * a : ModTupFldElt, ModMatFldElt -> ModTupFldElt
u * a : ModTupRngElt, ModMatRngElt -> ModTupRngElt
<i, w> @ T : GrpFPCosElt, GrpFPElt, Map -> GrpFPElt
InnerProduct(v, w) : LatElt, LatElt -> RngElt
(u, v) : GrpFPElt, GrpFPElt -> GrpFPElt
(g, h) : GrpMatElt, GrpMatElt -> GrpMatElt
(g, h) : GrpPermElt, GrpPermElt -> GrpPermElt
LieBracket(a, b) : AlgAssElt, AlgAssElt -> AlgAssElt
(g_1, ..., g_r) : GrpMatElt, ..., GrpMatElt -> GrpMatElt
(g_1, ..., g_r) : GrpPermElt, ..., GrpPermElt -> GrpPermElt
(u_1, ..., u_n) : List(GrpFPElt) -> GrpFPElt
(g_1, ..., g_n) : List(GrpPCElt) -> GrpPCElt
Rings, Fields, and Algebras (OVERVIEW)
u * v : AlgFPElt, AlgFPElt -> AlgFPElt
A * B : AlgGen, AlgGen -> AlgGen
a * b : AlgGenElt, AlgGenElt -> AlgGenElt
a * I : AlgGrpElt, AlgGrpSub -> AlgGrpSub
a * r : AlgGrpElt, RngElt -> AlgGrpElt
a * b : AlgMatElt, AlgMatElt -> AlgMatElt
x * u : FldElt, ModTupFldElt -> ModTupFldElt
x * I : FldFunElt, RngFunOrdIdl -> RngFunOrdIdl
x * I : FldNumElt, RngOrdIdl -> RngOrdIdl
u * v : GrpBBElt, GrpBBElt -> GrpBBElt
g * h : GrpElt, GrpElt -> GrpElt
H * g : GrpFP, GrpFPElt -> GrpFPCosElt
u * v : GrpFPElt, GrpFPElt -> GrpFPElt
[Future release] H * g : GrpMat, GrpMatElt -> Elt
g * h : GrpMatElt, GrpMatElt -> GrpMatElt
g * h : GrpPCElt, GrpPCElt -> GrpPCElt
G * H : GrpPerm, GrpPerm -> { GrpPermElt }
H * g : GrpPerm, GrpPermElt -> Elt
g * h : GrpPermElt, GrpPermElt -> GrpPermElt
v * T : LatElt, AlgMatElt -> LatElt
v * s : LatElt, RngIntElt -> .
f * M : MagFormElt, GrpMatElt -> MagFormElt
f * g : MagFormElt, MagFormElt -> MagFormElt
u * g : ModGrpElt, GrpElt -> ModGrpElt
u * g : ModTupElt, GrpMatElt -> ModTupElt
v * a : ModTupFldElt, ModMatFldElt -> ModTupFldElt
u * a : ModTupRngElt, ModMatRngElt -> ModTupRngElt
x * u : RngElt, ModTupElt -> ModTupElt
a * u : RngElt, ModTupFldElt -> ModTupFldElt
a * b : RngElt, RngElt -> RngElt
x * O : RngFunOrdElt, RngFunOrd -> RngFunOrdIdl
I * J : RngFunOrdIdl, RngFunOrdIdl -> RngFunOrdIdl
I * J : RngIdl, RngIdl -> RngIdl
m * P : RngIntElt, CurveEllPt -> CurveEllPt
m * u : RngIntElt, GrpAbElt-> GrpAbElt
I * J : RngMPol, RngMPol -> RngMPol
s * f : RngMPolElt, ModMPolElt -> ModMPolElt
I * J : RngMPolRes, RngMPolRes -> RngMPolRes
x * O : RngOrdElt, RngOrd -> RngOrdIdl
I * J : RngOrdIdl, RngOrdIdl -> RngOrdIdl
I * J : RngUPol, RngUPol -> RngUPol
u * v : SgpFPElt, SgpFPElt -> SgpFPElt
s cat t : MonStgElt, MonStgElt -> MonStgElt
g *:= h : GrpPCElt, GrpPCElt -> GrpPCElt
P *:= m : CurveEllPt, RngIntElt ->
v *:= n : LatElt, RngIntElt ->
s cat:= t : MonStgElt, MonStgElt -> MonStgElt
Rings, Fields, and Algebras (OVERVIEW)
u + v : AlgFPElt, AlgFPElt -> AlgFPElt
a + b : AlgGenElt, AlgGenElt -> AlgGenElt
a + r : AlgGrpElt, RngElt -> AlgGrpElt
a + b : AlgMatElt, AlgMatElt -> AlgMatElt
P + Q : CurveEllPt, CurveEllPt -> CurveEllPt
u + v : GrpAbElt, GrpAbElt -> GrpAbElt
G + { u, v } : GrphUnd, { GrphVert } -> GrphUnd
v + w : LatElt, LatElt -> LatElt
M + N : ModMPol, ModMPol -> ModMPol
f + g : ModMPolElt, ModMPolElt -> ModMPolElt
u + v : ModTupElt, ModTupElt -> ModTupElt
U + V : ModTupFld, ModTupFld -> ModTupFld
u + v : ModTupFldElt, ModTupFldElt -> ModTupFldElt
u + v : ModTupFldElt, ModTupFldElt -> ModTupFldElt
M + N : ModTupRng, ModTupRng -> ModTupRng
a + b : RngElt, RngElt -> RngElt
I + J : RngFunOrdIdl, RngFunOrdIdl -> RngFunOrdIdl
I + J : RngIdl, RngIdl -> RngIdl
I + J : RngMPol, RngMPol -> RngMPol
I + J : RngMPolRes, RngMPolRes -> RngMPolRes
O + P : RngOrd, RngOrd -> RngOrd
I + J : RngOrdIdl, RngOrdIdl -> RngOrdIdl
I + J : RngUPol, RngUPol -> RngUPol
e + f : SubModLatElt, SubModLatElt -> SubModLatElt
P +:= Q : CurveEllPt, CurveEllPt ->
AddEdge(~G, i, j) : Grph, RngIntElt, RngIntElt ->
AddVertices(~G, n) : Grph, RngIntElt ->
Rings, Fields, and Algebras (OVERVIEW)
u - v : AlgFPElt, AlgFPElt -> AlgFPElt
a - r : AlgGrpElt, RngElt -> AlgGrpElt
- P : CurveEllPt -> CurveEllPt
G - v : Grph, GrphVert -> Grph
v - w : LatElt, LatElt -> LatElt
f - g : ModMPolElt, ModMPolElt -> ModMPolElt
- u : ModTupFldElt -> ModTupFldElt
- u : ModTupFldElt -> ModTupFldElt
a - b : RngElt, RngElt -> RngElt
RemoveEdge(~G, i, j) : Grph, RngIntElt, RngIntElt ->
RemoveVertex(~G, i) : Grph, RngIntElt ->
A . i : AlgFP, RngIntElt -> AlgFPElt
R . i : AlgMat, RngIntElt -> AlgMatElt
C . i : Code, RngIntElt -> ModTupFldElt
F . 1 : FldFin, RngIntElt -> FldFinElt
K . i : FldFun, RngIntElt -> FldFunElt
G . i : Grp, RngIntElt -> GrpElt
A . i : GrpAb, RngIntElt -> GrpAbElt
G . i : GrpBB, RngIntElt -> GrpBBElt
G . i : GrpFP, RngIntElt -> GrpFPElt
E . i : GrphEdgeSet, RngIntElt -> GrphEdge
V . i : GrphVertSet, RngIntElt -> GrphVert
G . i : GrpMat, RngIntElt -> GrpMatElt
G . i : GrpPC, RngIntElt -> GrpPCElt
G . i : GrpPerm, RngIntElt -> GrpPermElt
B . i : IncBlkSet, RngIntElt -> IncBlk
P . i : IncPtSet, RngIntElt -> IncPt
L . i : Lat, RngIntElt -> LatElt
M . i : ModMPol, RngIntElt -> ModMPolElt
V . i : ModTupFld, RngIntElt -> ModTupFldElt
M . i : ModTupRng, RngIntElt -> ModElt
L . i : PlanePtSet, RngIntElt -> PlanePt
V . i : PlanePtSet, RngIntElt -> PlanePt
d . eefpg : RngIntElt, RngIntElt, RngIntElt -> FldReElt
P . i : RngMPol, RngInt -> RngMPolElt
Q . i : RngMPolRes, RngIntElt -> RngMPolResElt
R . 1 : RngPowSer, RngInt -> RngSerElt
P . 1 : RngUPol, RngInt -> RngPolElt
S . i : SgpFP, RngIntElt -> SgpFPElt
BasisElement(A, i) : AlgGen, RngIntElt -> AlgGenElt
Name(R, 1) : FldPow, RngIntElt -> FldPowElt
Rings, Fields, and Algebras (OVERVIEW)
A / I : AlgFP, AlgFPIdl -> AlgFP
A / S : AlgGen, AlgGen -> AlgGen
a / r : AlgGenElt, RngElt -> AlgGenElt
A / S : AlgGrp, AlgGrpSub -> AlgAss
g / h : GrpElt, GrpElt -> GrpElt
G / N : GrpMat, GrpMat -> GrpMat
g / h : GrpMatElt, GrpMatElt -> GrpMatElt
g / h : GrpPCElt, GrpPCElt -> GrpPCElt
G / N : GrpPerm, GrpPerm -> GrpPerm
g / h : GrpPermElt, GrpPermElt -> GrpPermElt
L / S : Lat, Lat -> GrpAb, Map
v / s : LatElt, RngIntElt -> .
M / N : ModMPol, ModMPol -> ModMPol
u / x : ModTupElt, RngElt -> ModTupElt
V / U : ModTupFld, ModTupFld -> ModTupFld
u / x : ModTupFldElt, FldElt -> ModTupFldElt
M / N : ModTupRng, ModTupRng -> ModTupRng
a / b : RngElt, RngElt -> RngElt
I / x : RngFunOrdIdl, RngElt -> RngFunOrdIdl
I / J : RngFunOrdIdl, RngFunOrdIdl -> RngFunOrdIdl
a / b : RngIntElt, RngIntElt -> FldRatElt
I / J : RngMPol, RngMPol -> RngMPolRes
P / J : RngMPol, RngMPol -> RngMPolRes
I / x : RngOrdIdl, RngIntElt -> RngOrdIdl
I / J : RngOrdIdl, RngOrdIdl -> RngOrdIdl
S / I : SgpFP, SgpFPIdl -> SgpFP
g /:= h : GrpPCElt, GrpPCElt -> GrpPCElt
Release Notes V1.10-1 (8 June 1995) (OVERVIEW)
Release Notes V1.20-1 (8 January 1996) (OVERVIEW)
Release Notes V1.20-1 (8 January 1996) since June 1995 (OVERVIEW)
Release Notes V1.30-1 (5 March 1996) (OVERVIEW)
Release Notes V2.01-1 (21 June 1996) (OVERVIEW)
Release Notes V2.10-1 (14 October 1996) (OVERVIEW)
Release Notes V1.01-5 (25 November 1994) (OVERVIEW)
Generator Assignment (OVERVIEW)
E<x_1, x_2, ...x_n> := expression;
< a_1, a_2, ..., a_k > : Elt, ..., Elt -> Tup
w_1 = w_2 : AlgFPElt, AlgFPElt -> Rel
w_1 = w_2 : GrpAbElt, GrpAbElt -> Rel
w_1 = w_2 : GrpFPElt, GrpFPElt -> GrpFPRel
w_1 = w_2 : SgpFPElt, SgpFPElt -> Rel
<i, w> @ T : GrpFPCosElt, GrpFPElt, Map -> GrpFPElt
Coefficient(a, g) : AlgGrpElt, GrpElt -> RngElt
Component(C, i) : SetCart, RngIntElt -> Str
x[expr_1][expr_2]...[expr_n] := expression;
S[i] := x : List, RngIntElt, Elt ->
x[i] : AlgChtrElt, RngIntElt -> FldCycElt
a[i] : AlgGenElt, RngIntElt -> RngElt
a[i] : AlgMatElt, RngIntElt -> ModTupElt
P[i] : CurveEllPt, RngIntElt -> RngElt
r[1] : GrpAbRel, RngIntElt -> GrpAbElt
r[1] : GrpFPRel, RngIntElt -> GrpFPElt
g[i] : GrpMatElt, RngIntElt -> ModTupElt
a[i] : MatHomElt, RngIntElt -> ModTupRngElt
f[i] : ModMPolElt, RngIntElt -> RngMPolElt
u[i] : ModTupFldElt, RngIntElt -> RngElt
u[i] : ModTupFldElt, RngIntElt -> RngElt
u[i] : ModTupRngElt, RngIntElt -> RngElt
s[i] : MonStgElt, RngIntElt -> MonStgElt
p[i] : PlanePt, RngIntElt -> FldFinElt
[ i..j ] : RngIntElt, RngIntElt -> SeqEnum
S[i] : SeqEnum, RngIntElt -> Elt
S[I] : SeqEnum, [RngIntElt] -> SeqEnum
S[i] : SetIndx, RngIntElt -> Elt
T[i] : TabChtr, RngIntElt -> AlgChtrElt
Rings, Fields, and Algebras (OVERVIEW)
Class(H, g) : GrpAb, GrpAbElt -> { GrpAbElt }
Class(H, g) : GrpPC, GrpPCElt -> { GrpPCElt }
x ^ g : AlgChtrElt, GrpElt -> AlgChtrElt
u ^ n : AlgFPElt, RngIntElt -> AlgFPElt
A ^ n : AlgGen, RngIntElt -> AlgGen
a ^ n : AlgGenElt, RngIntElt -> AlgGenElt
a ^ n : AlgMatElt, RngIntElt -> AlgMatElt
x ^ g : Elt, GrpPermElt -> Elt
H ^ g : GrpAb, GrpAbElt -> GrpAb
u ^ m : GrpBBElt, RngIntElt -> GrpBBElt
g ^ h : GrpElt, GrpElt -> GrpElt
g ^ n : GrpElt, RngIntElt -> GrpElt
H ^ G : GrpFin, GrpFin -> GrpFin
H ^ g : GrpFin, GrpFinElt -> GrpFin
H ^ u : GrpFP, GrpFPElt -> GrpFP
u ^ n : GrpFPElt, RngIntElt -> GrpFPElt
G ^ n : GrphUnd, RngIntElt -> GrphUnd
H ^ G : GrpMat, GrpMat -> GrpMat
H ^ g : GrpMat, GrpMatElt -> GrpMat
g ^ h : GrpMatElt, GrpMatElt -> GrpMatElt
g ^ n : GrpMatElt, RngIntElt -> GrpMatElt
H ^ g : GrpPC, GrpPCElt -> GrpPC
g ^ h : GrpPCElt, GrpPCElt -> GrpPCElt
g ^ n: GrpPCElt, RngIntElt -> GrpPCElt
H ^ G : GrpPerm, GrpPerm -> GrpPerm
H ^ g : GrpPerm, GrpPermElt -> GrpPerm
g ^ h : GrpPermElt, GrpPermElt -> GrpPermElt
g ^ n : GrpPermElt, RngIntElt -> GrpPermElt
f ^ n : MagFormElt, RngIntElt -> MagFormElt
M ^ T : ModGrp, AlgMatElt -> ModGrp
a ^ -1 : ModMatRngElt, RngIntElt -> ModMatRngElt
v ^ x : ModTupFldElt, GrpPermElt -> ModTupFldElt
s ^ n : MonStgElt, RngIntElt -> MonStgElt
a ^ k : RngElt, RngIntElt -> RngElt
I ^ k : RngFunOrdIdl, RngIntElt -> RngFunOrdIdl
I ^ k : RngMPol, RngIntElt -> RngMPol
f ^ a : RngMPolElt, GrpMatElt -> RngMPolElt
f ^ g : RngMPolElt, GrpPermElt -> RngMPolElt
I ^ n : RngMPolRes, RngIntElt -> BoolElt
I ^ k : RngOrdIdl, RngIntElt -> RngOrdIdl
u ^ n : SgpFPElt, RngIntElt -> SgpFPElt
a ^:= k : RngElt, RngIntElt -> RngElt
g ^:= n: GrpPCElt, RngIntElt -> GrpPCElt
r`fieldname : Rec, Fieldname -> Elt
S`fieldname : Str, Fieldname -> Elt
{ i..j } : RngIntElt, RngIntElt -> Set
{ U | e_1, e_2, ..., e_n } : Struct, Elt, ..., Elt -> Set
[____] [____] [_____] [____] [__] [Index] [Root]