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Subindex: Flat  ..  Form


Flat

   Flat(C) : Cop -> Cop
   Flat(e) : FldAlgElt -> [ FldRatElt]
   Flat(C) : SetCart -> SetCart
   Flat(T) : Tup -> Tup

flat

   Flattening (COPRODUCTS)

FldAb

   Rings, Fields, and Algebras (OVERVIEW)

FldCom

   Rings, Fields, and Algebras (OVERVIEW)

FldCyc

   Rings, Fields, and Algebras (OVERVIEW)

FldFin

   Rings, Fields, and Algebras (OVERVIEW)

fldfin

   ELLIPTIC CURVES OVER FINITE FIELDS

fldfun

   ELLIPTIC CURVES OVER FUNCTION FIELDS

FldFunG

   Rings, Fields, and Algebras (OVERVIEW)

FldFunRat

   Rings, Fields, and Algebras (OVERVIEW)

FldPad

   Rings, Fields, and Algebras (OVERVIEW)

FldPr

   Rings, Fields, and Algebras (OVERVIEW)

FldQuad

   Rings, Fields, and Algebras (OVERVIEW)

FldRat

   Rings, Fields, and Algebras (OVERVIEW)

FldRe

   Rings, Fields, and Algebras (OVERVIEW)

Flex

   IsFlex(C,p) : Sch,Pt -> BoolElt,RngIntElt
   IsInflectionPoint(p) : Sch,Pt -> BoolElt,RngIntElt

Flexes

   InflectionPoints(C) : Sch -> SeqEnum
   Flexes(C) : Sch -> SeqEnum

Flip

   BitFlip(e, B) : HilbSpcElt, RngIntElt -> HilbSpcElt
   BitFlip(e, k) : HilbSpcElt,RngIntElt -> HilbSpcElt
   IdentityAutomorphism(A) : Sch -> AutSch
   PhaseFlip(e, B) : HilbSpcElt, RngIntElt -> HilbSpcElt
   PhaseFlip(e, k) : HilbSpcElt,RngIntElt -> HilbSpcElt

FlipCoordinates

   Translation(A,p) : Sch,Pt -> AutSch
   FlipCoordinates(A) : Sch -> AutSch
   Automorphism(A,q) : Sch,RngMPolElt -> AutSch
   IdentityAutomorphism(A) : Sch -> AutSch

Floor

   Floor(q) : FldRatElt -> RngIntElt
   Floor(r) : FldReElt -> RngIntElt
   Floor(n) : RngIntElt -> RngIntElt

Flow

   Flow(e) : GrphEdge -> RngIntElt
   Flow(u, v) : GrphVert, GrphVert -> RngIntElt
   MaximumFlow(s, t : parameters) : GrphVert, GrphVert -> RngIntElt, SeqEnum
   MaximumFlow(Ss, Ts : parameters) : [ GrphVert ], [ GrphVert ] -> RngIntElt, SeqEnum
   Network_Flow (Example H119E4)

flow

   Maximum Flow and Minimum Cut (NETWORKS)
   Maximum Flow, Minimum Cut, and Shortest Paths (GRAPHS)

Flush

   Flush(F) : File ->

fns

   Associated Functions (DATABASES OF GROUPS)

For

   AdjointLinearSystemForNodalCurve(C, d) : Crv -> LinearSys
   AdjointIdealForNodalCurve(C) : Crv -> RngMPol
   SearchForDecomposition(G, S) : GrpMat, [GrpMatElt] -> BoolElt
   SearchForIsomorphism(F, G, m : parameters) : GrpFP, GrpFP, RngIntElt -> BoolElt, HomGrp, HomGrp
   WaitForConnection(S) : IOSocket -> IOSocket

for

   Definite Iteration (STATEMENTS AND EXPRESSIONS)
   The for statement (OVERVIEW)
   for G in D do ... end for;
   for x in S do ... end for;
   for x in S do statements; end for;
   for i := expr_1 to expr_2 by expr_3 do : ->
   for i := expr_1 to expr_2 do : ->

for-random

   for random x in S do ... end for;

for-statement

   Definite Iteration (STATEMENTS AND EXPRESSIONS)

forall

   forall(t){ e(x) : x in E | P(x) }
   forall(t){ e(x_1, ..., x_k): x_1 in E_1,..., x_k in E_k | P(x_1, ..., x_k) }

Force

   GetForceCFP(B) : GrpBrd -> BoolElt
   SetForceCFP(~B, b) : GrpBrd, BoolElt ->

forced

   Forced Coercion (INTRODUCTION TO RINGS [BASIC RINGS AND LINEAR ALGEBRA])
   Magmas (or Structures) (OVERVIEW)

Forest

   IsForest(G) : GrphUnd -> BoolElt
   SpanningForest(G) : Grph -> Grph, GrphVertSet, GrphEdgeSet
   SpanningForest(G) : GrphMult -> GrphMult, GrphVertSet, GrphEdgeSet

Form

   The Standard Form (LINEAR CODES OVER FINITE RINGS)
   CoxeterForm(W) : GrpPermCox -> AlgMatElt
   CoxeterForm(R) : RootDtm -> AlgMatElt
   CoxeterForm(R) : RootSys -> AlgMatElt
   DiagonalForm(f) : RngMPolElt -> RngMPolElt, ModMatRngElt
   EchelonForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt
   EchelonForm(A) : Mtrx -> Mtrx, AlgMatElt
   FormType(G) : GrpMat -> MonStgElt
   FrobeniusForm(A) : AlgMatElt -> SeqEnum
   HadamardCanonicalForm(H) : AlgMatElt -> AlgMatElt, AlgMatElt, AlgMatElt
   HermiteForm(X) : AlgMatElt -> AlgMatElt, AlgMatElt
   HermiteForm(A) : Mtrx -> Mtrx, ModMatRngElt
   HermiteForm(X) : PMat -> PMat, AlgMatElt
   HessenbergForm(a) : AlgMatElt -> AlgMatElt
   HessenbergForm(A) : Mtrx -> AlgMatElt
   IndexFormEquation(O, k) : RngOrd, RngIntElt -> [ RngOrdElt ]
   IsInTwistedForm(x, c) : GrpLieElt, OneCoC -> BoolElt
   JordanForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
   JordanForm(A) : Mtrx -> Mtrx, AlgMatElt, [ <RngUPolElt, RngIntElt> ]
   LeftMixedCanonicalForm(u: parameters) : GrpBrdElt -> Tup, Tup
   LeftNormalForm(~u: parameters) : GrpBrdElt ->
   LeftNormalForm(u: parameters) : GrpBrdElt -> GrpBrdElt
   ModularForm(E) : CrvEll -> ModFrm
   ModularForm(E) : CrvEll -> ModFrm
   NormalForm(f, I) : AlgFrElt, AlgFr -> AlgFrElt
   NormalForm(f, S) : AlgFrElt, [ AlgFrElt ] -> AlgFrElt
   NormalForm(f, M) : ModMPolElt, ModMPol -> ModMPolElt
   NormalForm(f, I) : RngMPolElt, RngMPol -> RngMPolElt
   NormalForm(f, S) : RngMPolElt, [ RngMPolElt ] -> RngMPolElt
   PositiveDefiniteForm(G) : GrpMat -> AlgMatElt
   PrimaryRationalForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
   PrimaryRationalForm(A) : Mtrx -> AlgMatElt, AlgMatElt, [ <RngUPolElt, RngIntElt ]
   PrimeForm(Q, p) : QuadBin, RngIntElt -> QuadBinElt
   QuadraticForm(G): GrpMat -> BoolElt, AlgMatElt, MonStgElt [,SeqEnum]
   QuadraticForm(L) : Lat -> RngMPolElt
   QuadraticForm(I) : RngQuadFracIdl -> QuadBinElt
   QuadraticForm(S) : { PlanePt } -> RngMPolElt
   RationalForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, [ RngUPolElt ]
   RationalForm(A) : Mtrx -> Mtrx, AlgMatElt, [ RngUPolElt ]
   Reduction(f) : QuadBinElt -> QuadBinElt, Mtrx
   RightMixedCanonicalForm(u: parameters) : GrpBrdElt -> Tup, Tup
   RightNormalForm(~u: parameters) : GrpBrdElt ->
   RightNormalForm(u: parameters) : GrpBrdElt -> GrpBrdElt
   SmithForm(a) : AlgMatElt -> AlgMatElt, AlgMatElt, AlgMatElt
   SmithForm(A) : ModMatRngElt -> ModMatRngElt, ModMatRngElt, ModMatRngElt
   StandardForm(A) : AlgQuat -> RngElt, RngElt
   StandardForm(C) : Code -> Code, Map
   StandardForm(C) : Code -> Code, Map
   StandardFormConjugationMatrices(A) : AlgMat -> Tup
   SteinitzForm(M) : ModDed -> ModDed
   SymmetricBilinearForm(G: parameters) : GrpMat -> BoolElt, AlgMatElt, RngIntElt, SeqEnum
   SymmetricBilinearForm(f) : RngMPolElt -> ModMatRngElt
   SymplecticForm(G: parameters) : GrpMat -> AlgMatElt
   TransformForm(form, d, q, type) : AlgMatElt, RngIntElt, RngIntElt, MonStgElt -> GrpMatElt
   TransformForm(G) : GrpMat -> GrpMatElt
   UnitaryForm(G) : GrpMat -> BoolElt, AlgMatElt [,SeqEnum]
   WeierstrassForm(C,p) : CrvPln, Pt -> CrvEll, MapSch


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