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Subindex: VerticalJoin  ..  vtime


VerticalJoin

   VerticalJoin(X, Y) : ModMatRngElt, ModMatRngElt -> ModMatRngElt
   VerticalJoin(X, Y) : Mtrx, Mtrx -> Mtrx
   VerticalJoin(A, B) : MtrxSprs, MtrxSprs -> MtrxSprs
   VerticalJoin(X, Y) : PMat, PMat -> PMat
   VerticalJoin(Q) : [ ModMatRngElt ] -> ModMatRngElt
   VerticalJoin(Q) : [ Mtrx ] -> Mtrx


Vertices

   AddVertex(~G) : Grph ->
   AddVertices(~G, n) : Grph, RngIntElt ->
   G +:= n : Grph, RngIntElt ->
   G +:= n : GrphMult, RngIntElt ->
   G -:= v : Grph, GrphVert ->
   G -:= v : GrphMult, GrphVert ->
   AddVertices(~G, n, L) : Grph, RngIntElt, SeqEnum ->
   AddVertices(~G, n, L) : GrphMult, RngIntElt, SeqEnum ->
   AllVertices(N) : NwtnPgon -> SeqEnum
   CutVertices(G) : Grph -> { GrphVert }
   CutVertices(G) : GrphMultUnd -> { GrphVert }
   EndVertices(e) : GrphEdge -> { GrphVert }
   EndVertices(e) : GrphEdge ->{ GrphVert, GrphVert }
   EndVertices(F) : NwtnPgonFace -> SeqEnum
   InnerVertices(N) : NwtnPgon -> SeqEnum
   LowerVertices(N) : NwtnPgon -> SeqEnum
   NumberOfVertices(P) : TorPol -> RngIntElt
   Order(G) : Grph -> RngIntElt
   Order(G) : GrphMult -> RngIntElt
   OuterVertices(N) : NwtnPgon -> SeqEnum
   ReduceToTriangleVertices(G,z) : GrpPSL2, SpcHypElt -> SpcHypElt
   SeparationVertices(G) : GrphMultUnd -> [ [ GrphVert ]], [ { GrphVert } ]
   SeparationVertices(G) : GrphUnd -> [ [ GrphVert ]], [ { GrphVert } ]
   Vertices(G) : Grph -> { GrphVert }
   Vertices(s) : GrphSpl -> SeqEnum
   Vertices(N) : NwtnPgon -> SeqEnum
   Vertices(P) : TorPol -> SeqEnum[TorLatElt]

vertices

   Graphs, Vertices and Printing (RESOLUTION GRAPHS AND SPLICE DIAGRAMS)
   Vertices and Inequalities (CONVEX POLYTOPES AND POLYHEDRA)

vertices-ex

   Newton_vertices-ex (Example H46E3)

vertices-inequalities

   Vertices and Inequalities (CONVEX POLYTOPES AND POLYHEDRA)

vf

   Vertices and Faces of Polygons (NEWTON POLYGONS)

VI

   Key Bindings (Emacs and VI mode) (ENVIRONMENT AND OPTIONS)
   Key Bindings in VI mode only (ENVIRONMENT AND OPTIONS)

Vi

   GetViMode() : -> BoolElt
   SetViMode(b) : BoolElt ->

Virtual

   VirtualDecomposition(C) : LieRepDec -> LieRepDec
   VirtualRayIndices(F) : TorFan -> SeqEnum
   VirtualRays(F) : TorFan -> SeqEnum

virtual_tests

   Deciding Virtual Properties of Linear Groups (MATRIX GROUPS OVER INFINITE FIELDS)

VirtualDecomposition

   VirtualDecomposition(C) : LieRepDec -> LieRepDec

VirtualRayIndices

   VirtualRayIndices(F) : TorFan -> SeqEnum

VirtualRays

   VirtualRays(F) : TorFan -> SeqEnum

visible-three-sha

   CrvG1_visible-three-sha (Example H124E2)

Volume

   ArithmeticVolume(G) : GrpPSL2 -> FldRatElt
   ArithmeticVolume(P) : [SpcHydElt] -> FldReElt
   MinusVolume(M, prec) : ModSym, RngIntElt -> FldPrElt
   RealVolume(M, prec) : ModSym, RngIntElt -> FldPrElt

Voronoi

   Voronoi(sites) : SeqEnum -> SeqEnum, SeqEnum, SeqEnum
   VoronoiCell(L) : Lat -> [ ModTupFldElt ], SetEnum , [ ModTupFldElt ]
   VoronoiData(M) : ModFrmBianchi -> Rec
   VoronoiGraph(L) : Lat -> GrphUnd
   VoronoiRelevantVectors(L) : Lat -> [ ModTupFldElt ]
   Lat_Voronoi (Example H30E17)

voronoi

   Voronoi Cells (HYPERELLIPTIC CURVES)
   Voronoi Cells, Holes and Covering Radius (LATTICES)

VoronoiCell

   VoronoiCell(L) : Lat -> [ ModTupFldElt ], SetEnum , [ ModTupFldElt ]

VoronoiData

   VoronoiData(M) : ModFrmBianchi -> Rec

VoronoiGraph

   VoronoiGraph(L) : Lat -> GrphUnd

VoronoiRelevantVectors

   VoronoiRelevantVectors(L) : Lat -> [ ModTupFldElt ]

vprint

   vprintf flag, n: format, expression, ..., expression;
   Verbose Printing (vprint, vprintf) (INPUT AND OUTPUT)
   vprint flag: expression, ..., expression;
   vprintf flag: format, expression, ..., expression;

vprintf

   vprintf flag, n: format, expression, ..., expression;
   vprintf flag: format, expression, ..., expression;

vtime

   vtime flag: statement;

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Version: V2.19 of Wed Apr 24 15:09:57 EST 2013