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Subindex: operators-root-dtm  ..  Orbit


operators-root-dtm

   Operators on Root Data (ROOT DATA)

operators-root-sys

   Operators on Root Systems (ROOT SYSTEMS)

Opposite

   OppositeAlgebra(B) : AlgBas -> AlgBas
   AlgBas_Opposite (Example H76E4)

opposite

   Opposite Algebras (BASIC ALGEBRAS)

opposite-algebras

   Opposite Algebras (BASIC ALGEBRAS)

OppositeAlgebra

   OppositeAlgebra(B) : AlgBas -> AlgBas

ops

   Arithmetic of Elements (QUATERNION ALGEBRAS)
   Completion at Ideals (ALGEBRAIC FUNCTION FIELDS)
   Creation of Elements (QUATERNION ALGEBRAS)
   Decomposition of an Algebra (ALGEBRAS)
   Elementary Operations (FINITE PLANES)
   Functions on Elements (ALGEBRAIC FUNCTION FIELDS)
   Functions related to Orders and Integrality (ALGEBRAIC FUNCTION FIELDS)
   Functions related to Places and Divisors (ALGEBRAIC FUNCTION FIELDS)
   Further Ideal Operations (ALGEBRAIC FUNCTION FIELDS)
   Operations and Properties for Root and Coroot indices (COXETER GROUPS AS PERMUTATION GROUPS)
   Operations and Properties for Root and Coroot indices (ROOT DATA)
   Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)
   Operations at a Point (PLANE ALGEBRAIC CURVES)
   Operations not associated with Duval's Algorithm (NEWTON POLYGONS)
   Operations on Algebras and Subalgebras (ALGEBRAS)
   Operations on Associative Algebras (ASSOCIATIVE ALGEBRAS)
   Operations on Associative Algebras and their Elements (ASSOCIATIVE ALGEBRAS)
   Operations on Elements (ALGEBRAIC FUNCTION FIELDS)
   Operations on Elements (ALGEBRAS)
   Operations on Elements (ASSOCIATIVE ALGEBRAS)
   Operations on Elements (GROUP ALGEBRAS)
   Operations on Elements of an Algebra (ALGEBRAS)
   Operations on Group Algebras (GROUP ALGEBRAS)
   Operations on Group Algebras and their Subalgebras (GROUP ALGEBRAS)
   Operations on Ideals (QUATERNION ALGEBRAS)
   Operations on Polynomials which use Newton Polygons (NEWTON POLYGONS)
   Operations on Subalgebras (ALGEBRAS)
   Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
   Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
   Predicates on Modules (MODULES OVER DEDEKIND DOMAINS)
   Representations of Associative Algebras (ASSOCIATIVE ALGEBRAS)
   Set Operations (FINITE SOLUBLE GROUPS)

ops-root-coroot

   Operations and Properties for Root and Coroot indices (COXETER GROUPS AS PERMUTATION GROUPS)
   Operations and Properties for Root and Coroot indices (ROOT DATA)
   Operations and Properties for Roots and Coroot Indices (ROOT SYSTEMS)

ops_arith

   ModDed_ops_arith (Example H58E4)

opt

   LINEAR PROGRAMMING

opt-rep

   RngOrd_opt-rep (Example H50E3)

Optimal

   OptimalEdgeColouring(G) : GrphUnd -> SeqEnum
   OptimalSkewness(F) : RngMPolElt -> FldReElt, FldReElt
   OptimalVertexColouring(G) : GrphUnd -> SeqEnum

OptimalEdgeColouring

   OptimalEdgeColouring(G) : GrphUnd -> SeqEnum

OptimalSkewness

   OptimalSkewness(F) : RngMPolElt -> FldReElt, FldReElt

OptimalVertexColouring

   OptimalVertexColouring(G) : GrphUnd -> SeqEnum

Optimised

   OptimisedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map

OptimisedRepresentation

   OptimisedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map

optimization

   Optimizing Magma Code (FINITE SOLUBLE GROUPS)

Optimized

   OptimisedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map

OptimizedRepresentation

   OptimisedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(F) : FldAlg -> FldAlg, map
   OptimizedRepresentation(O) : RngOrd -> BoolElt, RngOrd, Map

option

   Print Options (MODULES OVER AFFINE ALGEBRAS)
   Print Options (UNIVARIATE POLYNOMIAL RINGS)
   Special Options (FINITE FIELDS)
   Special Options (ORDERS AND ALGEBRAIC FIELDS)

Options

   SetOptions(~P : parameters) : Process(Tietze) ->
   ShowOptions(~P : parameters) : Process(Tietze) ->

options

   Command Line Options (ENVIRONMENT AND OPTIONS)
   ENVIRONMENT AND OPTIONS
   Special Options (POWER, LAURENT AND PUISEUX SERIES)

or

   Expression (OVERVIEW)
   x or y: BoolElt, BoolElt -> BoolElt

Orbit

   BasicOrbit(G, i) : GrpMat, RngIntElt -> SetIndx
   BasicOrbit(G, i) : GrpPerm, RngIntElt -> SetIndx
   BasicOrbitLength(G, i) : GrpMat, RngIntElt -> RngIntElt
   BasicOrbitLength(G, i) : GrpPerm, RngIntElt -> RngIntElt
   BasicOrbitLengths(G) : GrpMat -> [RngIntElt]
   BasicOrbitLengths(G) : GrpPerm -> [RngIntElt]
   EstimateOrbit(G, U: parameters) : GrpMat, ModTupFld -> RngIntElt, RngIntElt, RngIntElt
   ExceptionalUnitOrbit(u) : RngOrdElt -> [ RngOrdElt ]
   GaloisOrbit(x) : AlgChtrElt -> { AlgChtrElt }
   IsMemberBasicOrbit(G, i, a) : GrpPerm, RngIntElt, Elt -> BoolElt
   IsOrbit(G, S) : GrpPerm, { Elt } -> BoolElt
   Orbit(A, Y, y) : GrpPerm, GSet, Elt -> GSet
   Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
   Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
   Orbit(G, Y, y) : GrpPerm, GSet, Elt -> GSet
   OrbitAction(G, T) : GrpMat, Elt -> Hom(Grp), GrpPerm, GrpMat
   OrbitAction(G, T) : GrpPerm, GSet -> Hom(Grp), GrpPerm, GrpPerm
   OrbitActionBounded(G, T, b) : GrpMat, Elt, RngIntElt -> BoolElt, Hom(Grp), GrpPerm, GrpMat
   OrbitBounded(G, y, b) : GrpMat, Elt, RngIntElt -> BoolElt, SetEnum
   OrbitClosure(G, S) : GrpMat, { Elt } -> GSet
   OrbitClosure(G, Y, S) : GrpPerm, GSet, { Elt } -> GSet
   OrbitImage(G, T) : GrpMat, Set -> GrpPerm
   OrbitImage(G, T) : GrpPerm, GSet -> GrpPerm
   OrbitImageBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpPerm
   OrbitKernel(G, T) : GrpMat, Set -> GrpMat
   OrbitKernel(G, T) : GrpPerm, GSet -> GrpPerm
   OrbitKernelBounded(G, T, b) : GrpMat, Set, RngIntElt -> BoolElt, GrpMat
   OrbitRepresentatives(G) : GrpPerm -> SeqEnum
   ReductionOrbit(f) : QuadBinElt -> SeqEnum[QuadBinElt]
   WeightOrbit( W, v ) : GrpPermCox, . -> @ @
   y ^ G : Elt, GrpMat -> SetEnum


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