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


Subindex: roots  ..    Row




roots

   Functions returning Roots (p-ADIC RINGS AND THEIR EXTENSIONS)

   Hensel Lifting of Roots (p-ADIC RINGS AND THEIR EXTENSIONS)

   Roots (ALGEBRAICALLY CLOSED FIELDS)

   Roots (REAL AND COMPLEX FIELDS)

   Roots and Coroots (ROOT SYSTEMS)

   Roots of Elements (p-ADIC RINGS AND THEIR EXTENSIONS)

   Roots of Ideals (ALGEBRAIC FUNCTION FIELDS)

   Roots of Ideals (ORDERS AND ALGEBRAIC FIELDS)

   Roots of Polynomials (NEWTON POLYGONS)

   Roots of Polynomials (p-ADIC RINGS AND THEIR EXTENSIONS)

   Roots, Coroots and Reflections (COXETER GROUPS AS
PERMUTATION GROUPS)

   Roots, Coroots and Weights (ROOT DATA)

   Simple and Positive Roots (ROOT DATA)

   Simple and Positive Roots (ROOT SYSTEMS)

   The Coxeter Group (ROOT DATA)

   The Coxeter Group (ROOT SYSTEMS)


roots-coroots-weights

   Roots and Coroots (ROOT SYSTEMS)

   Roots, Coroots and Weights (ROOT DATA)


roots-direct

   Functions returning Roots (p-ADIC RINGS AND THEIR EXTENSIONS)


roots-ex

   Newton_roots-ex (Example H60E10)


RootsCoroots

   GrpPermCox_RootsCoroots (Example H84E13)

   GrpRfl_RootsCoroots (Example H85E20)

   RootDtm_RootsCoroots (Example H80E10)

   RootSys_RootsCoroots (Example H79E10)


RootSide

   RootSide(v) : GrphVert -> GrphVert


RootsInSplittingField

   RootsInSplittingField(f) : RngPolElt(FldFin) -> [<RngPolElt, RngIntElt>], FldFin


RootsNonExact

   RootsNonExact(p) : RngUPolElt -> [ FldPrElt ], [ FldPrElt ]

   FldRe_RootsNonExact (Example H40E7)


RootSpace

   CorootSpace( W ) : GrpMat -> Lat

   RootSpace( W ) : GrpMat -> Lat

   RootSpace( W ) : GrpPermCox -> .

   RootSpace( R ) : RootDtm -> Lat

   RootSpace( R ) : RootSys -> ModTupFld

   GrpPermCox_RootSpace (Example H84E12)

   GrpRfl_RootSpace (Example H85E18)

   GrpRfl_RootSpace (Example H85E19)

   RootSys_RootSpace (Example H79E9)


RootSubdata

   RootDtm_RootSubdata (Example H80E17)


RootSubdatum

   RootSubdatum( R, s ) : RootDtm, SeqEnum -> RootDtm

   RootSubdatum( R, a ) : RootDtm, SetEnum -> RootDtm


rootsys

   Definition of a Root System (ROOT SYSTEMS)


RootSystem

   RootDatum(L) : AlgLie -> RootDatum, [ AlgLieElt ]

   RootSystem(L) : AlgLie -> [ AlgLieElt ], [ AlgLieElt ], [ AlgLieElt ], AlgMatElt

   RootSystem( M ) : AlgMatElt -> RootSys

   RootSystem(M) : AlgMatElt -> RootSys

   RootSystem(A, B) : AlgMatElt, AlgMatElt -> RootSys

   RootSystem( W ) : GrpMat -> RootDtm

   RootSystem( W ) : GrpPermCox -> RootDtm

   RootSystem(N) : MonStgElt -> RootSys

   RootSystem( R ) : RootDtm -> RootSys

   AlgLie_RootSystem (Example H81E4)


RootSystemMatrix

   RootSystemMatrix( X, n ) : MonStgElt, RngIntElt -> AlgMatElt


RootVertex

   RootVertex(s) : GrphSpl -> GrphSplVert


Rotate

   Rotate(~u, k) : ModTupElt, RngIntElt ->

   Rotate(u, k) : ModTupElt, RngIntElt -> ModTupElt

   Rotate(~u, k) : ModTupFldElt, RngIntElt ->

   Rotate(u, k) : ModTupFldElt, RngIntElt -> ModTupFldElt

   Rotate(~u, k) : ModTupRngElt, RngIntElt ->

   Rotate(~u, k) : ModTupRngElt, RngIntElt ->

   Rotate(u, k) : ModTupRngElt, RngIntElt -> ModTupRngElt

   Rotate(u, k) : ModTupRngElt, RngIntElt -> ModTupRngElt

   Rotate(~S, p) : SeqEnum, RngIntElt ->

   RotateWord(u, n) : GrpFPElt, RngIntElt -> GrpFPElt

   RotateWord(u, n) : SgpFPElt, RngIntElt -> SgpFPElt


RotateWord

   RotateWord(u, n) : GrpFPElt, RngIntElt -> GrpFPElt

   RotateWord(u, n) : SgpFPElt, RngIntElt -> SgpFPElt


Round

   Round(q) : FldRatElt -> RngIntElt

   Round(r) : FldReElt  -> FldReElt

   Round(n) : RngIntElt -> RngIntElt

   Round(p) : RngUPolElt -> RngUPolElt


round

   Expression (OVERVIEW)

   Rounding and  Truncating (RATIONAL FIELD)


round-bracket

   Expression (OVERVIEW)


Round2

   RngOrd_Round2 (Example H50E6)


rounding

   Rounding (REAL AND COMPLEX FIELDS)


routine

   Functions, Procedures, and Mappings (OVERVIEW)


Row

   AddRow(~a, u, i, j) : AlgMatElt, RngElt, RngIntElt, RngIntElt ->

   AddRow(A, c, i, j) : Mtrx, RngElt, RngIntElt, RngIntElt -> Mtrx

   FirstIndexOfRow(t, i) : Tbl,RngIntElt -> RngIntElt

   GeneralisedRowReduction( rho ) : GrpLie, Map -> Map

   HadamardRowDesign(H, i) : AlgMatElt, RngIntElt -> Dsgn

   Image(a) : AlgMatElt -> ModTup

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

   LastIndexOfRow(t, i) : Tbl,RngIntElt -> RngIntElt

   LiftNonsplitExtensionRow(SQP, p, l) : SQProc, RngIntElt, RngIntElt -> RngIntElt, SQProc

   LiftSplitExtensionRow(SQP): SQProc -> RngIntElt, SQProc

   MultiplyRow(~a, u, j) : AlgMatElt, RngElt, RngIntElt ->

   MultiplyRow(A, c, i) : Mtrx, RngElt, RngIntElt -> Mtrx

   RemoveRow(A, i) : Mtrx, RngIntElt -> Mtrx

   RemoveRowColumn(A, i, j) : Mtrx, RngIntElt -> Mtrx

   Row(t, i) : Tbl, RngIntElt -> MonOrdElt

   RowInsert(~t, w) : Tbl, MonOrdElt ->

   RowInsert(~t, x) : Tbl, RngIntElt ->

   RowNullSpace(a) : AlgMatElt -> ModTup

   RowSequence(A) : Mtrx -> [ [RngElt] ]

   RowSkewLength(t, i) : Tbl,RngIntElt -> RngIntElt

   RowSubmatrix(A, i) : Mtrx, RngIntElt -> Mtrx

   RowSubmatrix(A, i, k) : Mtrx, RngIntElt, RngIntElt -> Mtrx

   RowSubmatrixRange(A, i, j) : Mtrx, RngIntElt, RngIntElt -> Mtrx

   RowWeight(A, i) : MtrxSprs, RngIntElt -> RngIntElt

   RowWeights(A) : MtrxSprs -> [RngIntElt]

   Word(t) : Tbl -> MonOrdElt




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