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Subindex: random  ..  Rank


random

   PSEUDO-RANDOM BIT SEQUENCES
   Random Numbers (RING OF INTEGERS)
   Random Object Generation (STATEMENTS AND EXPRESSIONS)
   Random Points (HYPERELLIPTIC CURVES)
   Random Tableaux (PARTITIONS, WORDS AND YOUNG TABLEAUX)
   random{ e(x) : x in E | P(x) }
   random{ e(x_1, ..., x_k) : x_1 in E_1,..., x_k in E_k | P(x_1, ..., x_k) }

random-points

   Random Points (HYPERELLIPTIC CURVES)

random_points_jacobian

   Random Points (HYPERELLIPTIC CURVES)

RandomBits

   RandomBits(n) : RngIntElt -> RngIntElt

RandomCFP

   Random(B, r, s, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> GrpBrdElt
   RandomCFP(B, r, s, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt -> GrpBrdElt
   IsProductOfParallelDescendingCycles(p) : GrpPermElt -> BoolElt

RandomConsecutiveBits

   RandomConsecutiveBits(n, a, b) : RngIntElt, RngIntElt -> RngIntElt

RandomDigraph

   RandomDigraph(p, r: parameters) : RngIntElt, FldReElt -> GrphDir

RandomGraph

   RandomGraph(D) : DB -> GrphUnd
   RandomGraph(D, S) : DB, SeqEnum -> GrphUnd
   RandomGraph(p, r: parameters) : RngIntElt, FldReElt -> GrphUnd

RandomHookWalk

   RandomHookWalk(P, i, j) : SeqEnum[RngIntElt], RngIntElt, RngIntElt -> RngIntElt, RngIntElt

RandomLinearCode

   RandomLinearCode(K, n, k) : FldFin, RngIntElt, RngIntElt -> Code
   RandomLinearCode(R, n, k) : Rng, RngIntElt, RngIntElt -> Code

RandomPartition

   RandomPartition(n) : RngIntElt -> SeqEnum

RandomPlace

   RandomPlace(C,m) : Crv,RngIntElt -> BoolElt,PlcCrvElt
   Place(C,m) : Crv,RngIntElt -> BoolElt,PlcCrvElt
   RandomPlace(F, m) : FldFun, RngIntElt -> BoolElt, PlcFunElt
   RandomPlace(F, m) : FldFun, RngIntElt -> BoolElt, PlcFunElt

RandomPrime

   RandomPrime(n: parameter) : RngIntElt -> RngIntElt
   RandomPrime(n: parameter) : RngIntElt -> RngIntElt
   RandomPrime(n, a, b, x: parameter) :RngIntElt, RngIntElt, RngIntElt -> BoolElt, RngIntElt
   RandomPrime(n, a, b, x: parameter) :RngIntElt, RngIntElt, RngIntElt -> BoolElt, RngIntElt

RandomPrimePolynomial

   RandomPrimePolynomial(R, d) : RngUPol, RngIntElt -> RngUPolElt

RandomProcess

   RandomProcess(G) : GrpAb -> Process
   RandomProcess(G) : GrpFin -> Process
   RandomProcess(G) : GrpGPC -> Process
   RandomProcess(G) : GrpMat -> Process
   RandomProcess(G) : GrpPC -> Process
   RandomProcess(G) : GrpPerm -> Process
   RandomProcess(G) : GrpSLP -> Process

RandomProcessWithValues

   RandomProcessWithWords(G) : GrpFin -> Process
   RandomProcessWithValues(G, Q) : GrpFin, SeqEnum -> Process
   RandomProcessWithWordsAndValues(G, Q) : GrpFin, SeqEnum ->Process
   RandomProcess(G) : GrpFin -> Process

RandomProcessWithWords

   RandomProcessWithWords(G) : GrpFin -> Process
   RandomProcessWithValues(G, Q) : GrpFin, SeqEnum -> Process
   RandomProcessWithWordsAndValues(G, Q) : GrpFin, SeqEnum ->Process
   RandomProcess(G) : GrpFin -> Process

RandomProcessWithWordsAndValues

   RandomProcessWithWords(G) : GrpFin -> Process
   RandomProcessWithValues(G, Q) : GrpFin, SeqEnum -> Process
   RandomProcessWithWordsAndValues(G, Q) : GrpFin, SeqEnum ->Process
   RandomProcess(G) : GrpFin -> Process

RandomSchreier

   RandomSchreier(G: parameters) : GrpMat ->
   RandomSchreier(G: parameters) : GrpPerm : ->
   GrpPerm_RandomSchreier (Example H17E33)

RandomSequenceBlumBlumShub

   BlumBlumShub(b, t) : RngIntElt, RngIntElt -> SeqEnum
   RandomSequenceBlumBlumShub(b, t) : RngIntElt, RngIntElt -> SeqEnum
   RandomSequenceBlumBlumShub(n, s, t) : RngIntElt, RngIntElt, RngIntElt -> SeqEnum

RandomSequenceRSA

   RandomSequenceRSA(b, t) : RngIntElt, RngIntElt -> SeqEnum
   RandomSequenceRSA(n, e, s, t) : RngIntElt, RngIntElt, RngIntElt,RngIntElt -> SeqEnum

RandomSubcomplex

   RandomSubcomplex(C,Q) : ModCpx, SeqEnum -> ModCpx, MapChn

RandomTableau

   RandomTableau(n) : RngIntElt -> Tbl
   RandomTableau(S) : SeqEnum[RngIntElt] -> Tbl

RandomTree

   RandomTree(p: parameters) : RngIntElt -> GrphUnd

RandomWord

   RandomWord(B, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt -> GrpBrdElt
   Random(B, m, n: parameters) : GrpBrd, RngIntElt, RngIntElt -> GrpBrdElt

Range

   ColumnSubmatrixRange(A, i, j) : Mtrx, RngIntElt, RngIntElt -> Mtrx
   ConductorRange(D) : DB -> RngIntElt, RngIntElt
   RowSubmatrixRange(A, i, j) : Mtrx, RngIntElt, RngIntElt -> Mtrx
   SubmatrixRange(A, i, j, r, s) : Mtrx, RngIntElt, RngIntElt, RngIntElt, RngIntElt -> Mtrx

Rank

   Rank(L) : Lat -> RngIntElt
   Dimension(L) : Lat -> RngIntElt
   Dimension(M) : ModBrdt -> RngIntElt
   K3SingularRank(X) : GrphVert -> RngIntElt
   NuclearRank(G) : GrpPC -> RngIntElt
   Rank(a) : AlgMatElt -> RngIntElt
   Rank(C) : CosetGeom -> RngIntElt
   Rank(A) : FldAC -> RngIntElt
   Rank(F) : FldFunRat -> RngIntElt
   Rank( W ) : GrpFPCox -> RngIntElt
   Rank( G ) : GrpLie -> RngIntElt
   Rank( W ) : GrpMat -> RngIntElt
   Rank( W ) : GrpPermCox -> RngIntElt
   Rank(D) : IncGeom -> RngIntElt
   Rank(a) : ModMatElt -> RngIntElt
   Rank(a) : ModMatRngElt -> RngIntElt
   Rank(M) : ModTupRng -> RngIntElt
   Rank(A) : Mtrx -> RngIntElt
   Rank(A) : MtrxSprs -> RngIntElt
   Rank(H: parameters) : SetPtEll -> RngIntElt
   Rank(P) : RngMPol -> RngIntElt
   Rank(Q) : RngMPolRes -> RngIntElt
   Rank(R) : RngPowLaz -> RngIntElt
   Rank(P) : RngUPol -> RngIntElt
   Rank( R ) : RootDtm -> RngIntElt
   Rank(R) : RootSys -> RngIntElt
   RankBound(phi) : Map -> RngIntElt
   RankBounds(H: parameters) : SetPtEll -> RngIntElt, RngIntElt
   SemisimpleRank( G ) : GrpLie -> RngIntElt
   TorsionFreeRank(A) : GrpAb -> RngIntElt
   TorsionFreeRank(G) : GrpFP -> RngIntElt
   UnitRank(O) : RngFunOrd -> RngIntElt
   UnitRank(O) : RngOrd -> RngIntElt
   UnitRank(O) : RngOrd -> RngIntElt
   UnitRank(O) : RngOrd -> RngIntElt
   pMultiplicatorRank(G) : GrpPC -> RngIntElt
   CrvEll_Rank (Example H91E22)


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