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Computer • algebra
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orthogonal
Orthogonal and Spin Groups (ALMOST SIMPLE GROUPS)
Orthogonal Polynomials (UNIVARIATE POLYNOMIAL RINGS)
orthogonal-polynomials
Orthogonal Polynomials (UNIVARIATE POLYNOMIAL RINGS)
OrthogonalComplement
OrthogonalComplement(L, v) : LatNF, LatNFElt -> LatNF
OrthogonalComplement(M) : ModBrdt -> ModBrdt
OrthogonalComplement(M) : ModSS -> ModSS
OrthogonalComplement(V, X : parameters) : ModTupFld, ModTupFld -> ModTupFld
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 H31E20)
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, Map, Map
OrthogonalSymmetrization
OrthogonalSymmetrization(chi, p) : AlgChtrElt, [ RngIntElt ] -> AlgChtrElt
OrthogonalSymmetrization(L, p) : LSer, SeqEnum -> LSer
OrthogonalTensorProduct
OrthogonalTensorProduct(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 H107E43)
AlgLie_Other (Example H107E46)
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 AND GROUP REPRESENTATIONS)
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 GROUPS AND AUTOMORPHISMS)
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 AND ORDERS)
Other Functions (NUMBER FIELDS)
Other Functions for Places and Divisors (NUMBER FIELDS AND ORDERS)
Other Functions for Places and Divisors (NUMBER 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 I/O Operations (INPUT AND OUTPUT)
Other Ideal Operations (NUMBER FIELDS AND ORDERS)
Other Operations (UNIVARIATE POLYNOMIAL RINGS)
Other Operations on Cohomology Modules (COHOMOLOGY AND EXTENSIONS)
Other Operations on Divisors (ALGEBRAIC CURVES)
Other Operations on Divisors in OM representation (ALGEBRAIC FUNCTION FIELDS)
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 Socket Operations (INPUT AND OUTPUT)
Other Structure Functions (REAL AND COMPLEX FIELDS)
Properties of Elements (MATRIX ALGEBRAS)
Structure Invariants (ALGEBRAIC FUNCTION FIELDS)
Structure Invariants (ALGEBRAIC FUNCTION FIELDS)
other-access
Accessing the Data (DATABASES OF GROUPS)
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V2.28, 13 July 2023