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Subindex: orthogonal  ..  other-global


orthogonal

   Orthogonal and Spin Groups (ALMOST SIMPLE GROUPS)
   Orthogonal Polynomials (UNIVARIATE POLYNOMIAL RINGS)

orthogonal-polynomials

   Orthogonal Polynomials (UNIVARIATE POLYNOMIAL RINGS)

OrthogonalComplement

   OrthogonalComplement(M) : ModBrdt -> ModBrdt
   OrthogonalComplement(M) : ModSS -> ModSS
   OrthogonalComplement(V, X : parameters) : ModTupFld, ModTupFld -> ModTupFld

OrthogonalComponent

   OrthogonalComponent(x, p) : AlgChtrElt, [ RngIntElt ] -> AlgChtrElt

OrthogonalComponents

   OrthogonalComponents(x, n) : AlgChtrElt, RngIntElt -> SetEnum

OrthogonalDecomposition

   OrthogonalDecomposition(L) : Lat -> [Lat]
   OrthogonalDecomposition(F) : [Mtrx] -> [* Mtrx *], [* [Mtrx] *]

Orthogonalize

   OrthogonalizeGram(F) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt
   Diagonalization(F) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt
   Orthogonalize(L) : Lat -> Lat, AlgMatElt
   Orthogonalize(M) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt
   Lat_Orthogonalize (Example H30E18)

OrthogonalizeGram

   OrthogonalizeGram(F) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt
   Diagonalization(F) : MtrxSpcElt -> MtrxSpcElt, AlgMatElt, RngIntElt

OrthogonalReflection

   OrthogonalReflection(a) : ModTupFldElt -> AlgMatElt
   OrthogonalReflection(a) : ModTupFldElt -> AlgMatElt

OrthogonalSum

   OrthogonalSum(L, M) : Lat, Lat -> Lat
   DirectSum(L, M) : Lat, Lat -> Lat
   OrthogonalSum(V, W) : ModTupFld, ModTupFld) -> ModTupFld

Orthonormalize

   Cholesky(L, K) : Lat, FldRe -> AlgMatElt
   Orthonormalize(L, K) : Lat, FldRe -> AlgMatElt
   Orthonormalize(M, K) : MtrxSpcElt, Fld -> AlgMatElt

Other

   Other operations (TUPLES AND CARTESIAN PRODUCTS)
   AlgLie_Other (Example H100E43)
   AlgLie_Other (Example H100E46)

other

   Accessing the Data (DATABASES OF GROUPS)
   Covering Radius and Diameter (LINEAR CODES OVER FINITE FIELDS)
   Creating New Enumerated Sequences from Existing Ones (SEQUENCES)
   Creation of Algebra Modules from other Algebra Modules (MODULES OVER AN ALGEBRA)
   Further Divisor Properties (SCHEMES)
   General function fields (ALGEBRAIC FUNCTION FIELDS)
   Global Function Fields (ALGEBRAIC FUNCTION FIELDS)
   Operations on Submodules (FREE MODULES)
   Operations Related to the Symmetric Group (REPRESENTATIONS OF LIE GROUPS AND ALGEBRAS)
   Other (ALGEBRAIC FUNCTION FIELDS)
   Other (GALOIS THEORY OF NUMBER FIELDS)
   Other Bounds (LINEAR CODES OVER FINITE FIELDS)
   Other Element Functions (QUADRATIC FIELDS)
   Other Element Functions (VALUATION RINGS)
   Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
   Other Element Operations (ALGEBRAIC FUNCTION FIELDS)
   Other Functions (NUMBER FIELDS)
   Other Functions (ORDERS AND ALGEBRAIC FIELDS)
   Other Functions for Places and Divisors (NUMBER FIELDS)
   Other Functions for Places and Divisors (ORDERS AND ALGEBRAIC FIELDS)
   Other Functions for Representation Decompositions (REPRESENTATIONS OF LIE GROUPS AND ALGEBRAS)
   Other Functions on Conics (RATIONAL CURVES AND CONICS)
   Other Functions on Elements (MODULES OVER DEDEKIND DOMAINS)
   Other Functions on Ideals (UNIVARIATE POLYNOMIAL RINGS)
   Other Functions on Lazy Series (LAZY POWER SERIES RINGS)
   Other Functions on Modules (MODULES OVER DEDEKIND DOMAINS)
   Other Functions on Quotients (UNIVARIATE POLYNOMIAL RINGS)
   Other Highest Weight Representations (REPRESENTATIONS OF LIE GROUPS AND ALGEBRAS)
   Other Ideal Operations (ORDERS AND ALGEBRAIC FIELDS)
   Other Operations (UNIVARIATE POLYNOMIAL RINGS)
   Other Operations on Cohomology Modules (COHOMOLOGY AND EXTENSIONS)
   Other Operations on Divisors (ALGEBRAIC CURVES)
   Other Operations on Elements (ALGEBRAIC FUNCTION FIELDS)
   Other Operations on Ideals (ASSOCIATIVE ALGEBRAS)
   Other Operations with Elements (ASSOCIATIVE ALGEBRAS)
   Other Point and Line Functions (FINITE PLANES)
   Other Predicates (REAL AND COMPLEX FIELDS)
   Other Properties of Linear Groups (MATRIX GROUPS OVER INFINITE FIELDS)
   Other Related Structures (ALGEBRAIC FUNCTION FIELDS)
   Other Ring Constructions (INTRODUCTION TO RINGS [BASIC RINGS])
   Other Set Operations (SETS)
   Other Structure Functions (REAL AND COMPLEX FIELDS)
   Other Tensor Products (L-FUNCTIONS)
   Other Z4 functions (LINEAR CODES OVER FINITE RINGS)
   Properties of Elements (MATRIX ALGEBRAS)
   Structure Invariants (ALGEBRAIC FUNCTION FIELDS)
   Structure Invariants (ALGEBRAIC FUNCTION FIELDS)

other-access

   Accessing the Data (DATABASES OF GROUPS)

other-elts

   Eltseq(a) : ModDedElt -> SeqEnum
   Other Functions on Elements (MODULES OVER DEDEKIND DOMAINS)

other-general

   General function fields (ALGEBRAIC FUNCTION FIELDS)

other-global

   NumberOfPlacesDegECF(F, m) : FldFunG, RngIntElt -> RngIntElt
   Global Function Fields (ALGEBRAIC FUNCTION FIELDS)

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Version: V2.19 of Mon Dec 17 14:40:36 EST 2012