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Subindex: unit  ..  Universe


unit

   Unit Equations (ORDERS AND ALGEBRAIC FIELDS)
   Unit Groups (ORDERS AND ALGEBRAIC FIELDS)
   Units and Unit Groups (QUATERNION ALGEBRAS)

unit-equation

   Unit Equations (ORDERS AND ALGEBRAIC FIELDS)

unit-group

   Unit Groups (ORDERS AND ALGEBRAIC FIELDS)
   Units and Unit Groups (QUATERNION ALGEBRAS)

Unit_Group

   AlgQuat_Unit_Group (Example H68E13)

Unital

   IsUnital(P, U) : Plane, { PlanePt } -> BoolElt
   UnitalFeet(P, U, p) : Plane, { PlanePt }, PlanePt -> { PlanePt }

unital

   Unitals (FINITE PLANES)
   Plane_unital (Example H105E11)

UnitalFeet

   UnitalFeet(P, U, p) : Plane, { PlanePt }, PlanePt -> { PlanePt }

Unitary

   GU(arguments)
   GeneralUnitaryGroup(arguments)
   IsUnitary(R) : Rng -> BoolElt
   IsUnitaryGroup(G) : GrpMat -> BoolElt
   ProjectiveGammaUnitaryGroup(arguments)
   ProjectiveGeneralUnitaryGroup(arguments)
   ProjectiveSigmaUnitaryGroup(arguments)
   ProjectiveSpecialUnitaryGroup(arguments)
   ScalarsUnitaryForm(G) : GrpMat -> SeqEnum
   SpecialUnitaryGroup(arguments)
   UnitaryForm(G) : GrpMat -> AlgMatElt

unitary

   SU(arguments)
   General and Special Unitary Groups (MATRIX GROUPS)

UnitaryForm

   UnitaryForm(G) : GrpMat -> AlgMatElt

uniteq

   RngOrd_uniteq (Example H50E26)

UnitEquation

   UnitEquation(a, b, c) : FldNumElt, FldNumElt, FldNumElt -> [ ModHomElt ]

UnitGroup

   UnitGroup(F) : FldFin -> GrpAb, Map
   MultiplicativeGroup(F) : FldFin -> GrpAb, Map
   MultiplicativeGroup(Z) : RngInt -> GrpAb, Map
   MultiplicativeGroup(R) : RngIntRes -> GrpAb, Map
   UnitGroup(S) : AlgQuatOrd -> GrpPerm, Map
   UnitGroup(Q) : FldRat -> GrpAb, Map
   UnitGroup(O) : RngFunOrd -> GrpAb, Map
   UnitGroup(O) : RngOrd -> GrpAb, Map
   UnitGroup(OQ) : RngOrdRes -> GrpAb, Map
   RngOrd_UnitGroup (Example H50E19)

UnitRank

   UnitRank(O) : RngFunOrd -> RngIntElt
   UnitRank(O) : RngOrd -> RngIntElt
   UnitRank(O) : RngOrd -> RngIntElt

Units

   ExceptionalUnits(O) : RngOrd -> [ RngOrdElt ]
   FundamentalUnits(O) : RngFunOrd -> SeqEnum[RngFunOrdElt]
   IndependentUnits(O) : RngFunOrd -> SeqEnum[RngFunOrdElt]
   IndependentUnits(O) : RngOrd -> GrpAb, Map
   MergeUnits(K, a) : FldNum, FldNumElt -> BoolElt
   SetOrderUnitsAreFundamental(O) : RngOrd ->
   Units(S) : AlgQuatOrd -> SeqEnum
   pFundamentalUnits(O, p) : RngOrd, RngIntElt -> GrpAb, Map

units

   Order and Ideal Isomorphisms (QUATERNION ALGEBRAS)

units-autos

   RngLoc_units-autos (Example H61E22)

Unity

   RootOfUnity(n) : RngIntElt -> FldCycElt
   RootOfUnity(n, A) : RngIntElt, FldAC -> FldACElt
   RootOfUnity(n, K) : RngIntElt, FldCyc -> FldCycElt
   RootOfUnity(n, K) : RngIntElt, FldFin -> FldFinElt
   RootOfUnity(n, Q) : RngIntElt, FldRat -> FldRatElt
   Unity(W) : RngWitt -> RngWittElt

univ

   Univariate: univ (IDEAL THEORY AND GRÖBNER BASES)

Univariate

   IsUnivariate(f) : RngMPolElt -> BoolElt, RngUPolElt, RngIntElt
   IsUnivariate(f, i) : RngMPolElt, RngIntElt -> BoolElt, RngUPolElt
   UnivariateEliminationIdealGenerator(I, i) : RngMPol, RngIntElt -> RngMPolElt
   UnivariateEliminationIdealGenerators(I) : RngMPol -> [ RngMPolElt ]
   UnivariatePolynomial(f) : RngMPolElt -> RngUPolElt

univariate

   Univariate Elimination Ideal Generators (IDEAL THEORY AND GRÖBNER BASES)
   UNIVARIATE POLYNOMIAL RINGS
   Univariate Polynomials (MULTIVARIATE POLYNOMIAL RINGS)

univariate-elimination-ideal-generator

   Univariate Elimination Ideal Generators (IDEAL THEORY AND GRÖBNER BASES)

univariate-polynomial

   UNIVARIATE POLYNOMIAL RINGS

UnivariateEliminationIdealGenerator

   UnivariateEliminationIdealGenerator(I, i) : RngMPol, RngIntElt -> RngMPolElt

UnivariateEliminationIdealGenerators

   UnivariateEliminationIdealGenerators(I) : RngMPol -> [ RngMPolElt ]

UnivariatePolynomial

   UnivariatePolynomial(f) : RngMPolElt -> RngUPolElt
   RngMPol_UnivariatePolynomial (Example H39E5)

Universal

   UniversalMap(C, S, [ n_1, ..., n_m ]) : Cop, Str, [ Map ] -> Map

universal

   Universal Map (COPRODUCTS)

UniversalMap

   UniversalMap(C, S, [ n_1, ..., n_m ]) : Cop, Str, [ Map ] -> Map

Universe

   CanChangeUniverse(S, V) : SeqEnum, Str -> Bool, SeqEnum
   CanChangeUniverse(S, V) : SetEnum, Str -> Bool, SeqEnum
   ChangeUniverse(S, V) : SeqEnum, Str ->
   ChangeUniverse(~S, V) : SetEnum, Str ->
   Universe(A) : GrpAbGen ->
   Universe(S) : Seq -> Struct
   Universe(R) : Set -> Struct
   UniverseCode(R, n) : FldFin, RngIntElt -> Code
   UniverseCode(R, n) : Rng, RngIntElt -> Code
   Set_Universe (Example H7E1)


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