Table of Contents - algebra-0.2.3 Documentation
Classes and Modules
- A
- Algebra
- Algebra::AlgebraBase
- Algebra::AlgebraCreator
- Algebra::AlgebraicEquation
- Algebra::AlgebraicExtensionField
- Algebra::AlgebraicParser
- Algebra::ChineseRemainderTheorem
- Algebra::Covector
- Algebra::ElementaryDivisor
- Algebra::EuclidianRing
- Algebra::Factors
- Algebra::Galois
- Algebra::GaussianElimination
- Algebra::Groebner
- Algebra::Group
- Algebra::InnerProductSpace
- Algebra::JordanForm
- Algebra::LocalizedRing
- Algebra::MIndex
- Algebra::MIndex::Grevlex
- Algebra::MIndex::Grlex
- Algebra::MIndex::Lex
- Algebra::MIndex::V_grevlex
- Algebra::MIndex::V_grlex
- Algebra::MIndex::V_lex
- Algebra::MPolynomial
- Algebra::MPolynomial::Monomial
- Algebra::MPolynomialConvertTo
- Algebra::MPolynomialConverter
- Algebra::MPolynomialFactorization
- Algebra::MPolynomialFactorization::Q
- Algebra::Map
- Algebra::MatrixAlgebra
- Algebra::MatrixAlgebraQuint
- Algebra::MatrixAlgebraTriplet
- Algebra::OperatorDomain
- Algebra::Orthogonalization
- Algebra::Permutation
- Algebra::PermutationGroup
- Algebra::Polynomial
- Algebra::Polynomial::Alg
- Algebra::PolynomialConvertTo
- Algebra::PolynomialConverter
- Algebra::PolynomialFactorization
- Algebra::PolynomialFactorization::Q
- Algebra::PolynomialFactorization::Z
- Algebra::PolynomialFactorization::Zp
- Algebra::Powers
- Algebra::QuotientGroup
- Algebra::ResidueClassRing
- Algebra::Scalar
- Algebra::Set
- Algebra::SplittingField
- Algebra::SquareMatrix
- Algebra::Vector
- Array
- B
- Bar
- Class
- Combinatorial
- Combinatorial::Cubic
- Combinatorial::Diagonal
- Complex
- Enumerable
- Float
- Foo
- Import_Module
- Import_Module::API
- Import_Module::Array
- Import_Module::Bar
- Import_Module::Baz
- Import_Module::Foo
- Import_Module::Hash
- Import_Module::Module
- Import_Module::Object
- Import_Module::Scope
- Import_Module::Scope::Source
- Import_Module::Scope::Stack
- Import_Module::Scope::Target
- Import_Module::Stack
- Import_Module::Target
- Import_Module::Thread
- Integer
- Marshal
- Module
- Numeric
- Object
- Primes
- Rational
- Thread
Methods
- ::* — Algebra::MatrixAlgebra
- ::** — Algebra::MatrixAlgebra
- ::** — Algebra::ResidueClassRing
- ::AlgebraicExtensionField — Algebra
- ::Covector — Algebra
- ::LocalizedRing — Algebra
- ::MPolynomial — Algebra
- ::MRationalFunctionField — Algebra
- ::MatrixAlgebra — Algebra
- ::MinimalDecompositionField — Algebra
- ::Polynomial — Algebra
- ::QuadraticExtensionField — Algebra
- ::RationalFunctionField — Algebra
- ::ResidueClassRing — Algebra
- ::Root — Algebra
- ::Sqrt — Algebra
- ::SquareMatrix — Algebra
- ::Vector — Algebra
- ::[] — Algebra::MPolynomial
- ::[] — Algebra::MatrixAlgebra
- ::[] — Algebra::Factors
- ::[] — Algebra::Set
- ::[] — Algebra::Map
- ::[] — Algebra::LocalizedRing
- ::[] — Algebra::MIndex
- ::[] — Algebra::Vector
- ::[] — Algebra::Covector
- ::[] — Algebra::Permutation
- ::[] — Algebra::ResidueClassRing
- ::_ct — Algebra::Groebner
- ::alternate — Algebra::PermutationGroup
- ::append_features — Algebra::AlgebraBase
- ::basis — Algebra::Groebner
- ::basis? — Algebra::Groebner
- ::basis_132D — Algebra::Groebner
- ::basis_159A — Algebra::Groebner
- ::basis_coeff — Algebra::Groebner
- ::basis_coeff_132D — Algebra::Groebner
- ::basis_coeff_159A — Algebra::Groebner
- ::collect_column — Algebra::MatrixAlgebra
- ::collect_ij — Algebra::MatrixAlgebra
- ::collect_row — Algebra::MatrixAlgebra
- ::comb — Combinatorial
- ::const — Algebra::MPolynomial
- ::const — Algebra::SquareMatrix
- ::const — Algebra::Polynomial
- ::const — Numeric
- ::construct — Algebra::JordanForm
- ::convert_from — Algebra::MatrixAlgebra
- ::covector — Algebra::Covector
- ::create — Algebra::AlgebraicExtensionField
- ::create — Algebra::MPolynomial
- ::create — Algebra::MatrixAlgebra
- ::create — Algebra::SquareMatrix
- ::create — Import_Module::Scope
- ::create — Algebra::LocalizedRing
- ::create — Algebra::Polynomial
- ::create — Algebra::Vector
- ::create — Algebra::Covector
- ::create — Algebra::ResidueClassRing
- ::cyclic2perm — Algebra::Permutation
- ::decompose — Algebra::JordanForm
- ::det — Algebra::SquareMatrix
- ::determinant — Algebra::SquareMatrix
- ::dsum — Algebra::MatrixAlgebra
- ::dsum_c — Algebra::MatrixAlgebra
- ::dsum_r — Algebra::MatrixAlgebra
- ::each_ij — Algebra::MatrixAlgebra
- ::each_index — Algebra::MatrixAlgebra
- ::empty_set — Algebra::Set
- ::empty_set — Algebra::Map
- ::enclose — Import_Module::Scope
- ::enclose — Import_Module::Scope::Target
- ::enclose — Import_Module::Scope::Source
- ::euclidian? — Algebra::MPolynomial
- ::euclidian? — Integer
- ::euclidian? — Algebra::Polynomial
- ::euclidian? — Numeric
- ::eval — Algebra::AlgebraicParser
- ::extend_object — Algebra::MPolynomial::Monomial
- ::factorize — Algebra::ElementaryDivisor
- ::field? — Integer
- ::field? — Numeric
- ::fork — Import_Module::Thread
- ::generate_strong — Algebra::Group
- ::get — Marshal
- ::get_module — Algebra::MIndex
- ::get_ord — Algebra::MPolynomial
- ::get_v_ord — Algebra::MPolynomial
- ::ground — A
- ::ground — Integer
- ::ground — Rational
- ::include? — Primes
- ::indeterminate — A
- ::indeterminate — B
- ::indeterminate — Algebra::MPolynomial
- ::indeterminate — Algebra::Polynomial
- ::indeterminate — Numeric
- ::indeterminate — Algebra::ResidueClassRing
- ::matrices — Algebra::MatrixAlgebra
- ::matrices — Algebra::SquareMatrix
- ::matrix — Algebra::MatrixAlgebra
- ::matrix — Algebra::Vector
- ::matrix — Algebra::Covector
- ::method_cash_clear — Algebra::MPolynomial
- ::minimal_basis — Algebra::Groebner
- ::minimal_basis? — Algebra::Groebner
- ::minimal_basis_coeff — Algebra::Groebner
- ::minimal_polynomial — Algebra::AlgebraicEquation
- ::minor — Algebra::MatrixAlgebra
- ::mk — Algebra::Factors
- ::monomial — Algebra::MPolynomial
- ::monomial — Algebra::MIndex
- ::monomial — Algebra::Polynomial
- ::mvar — Algebra::MPolynomial
- ::mvar — Algebra::Polynomial
- ::name — Import_Module
- ::new — Algebra::AlgebraicParser
- ::new — Algebra::MPolynomial
- ::new — Algebra::MatrixAlgebra
- ::new — Algebra::Factors
- ::new — Algebra::Set
- ::new — Algebra::Group
- ::new — Algebra::QuotientGroup
- ::new — Algebra::Map
- ::new — Import_Module::Scope
- ::new — Import_Module::Target
- ::new — Import_Module::Scope::Target
- ::new — Import_Module::Scope::Source
- ::new — Import_Module::Scope::Stack
- ::new — Import_Module::Thread
- ::new — Algebra::JordanForm
- ::new — Algebra::LocalizedRing
- ::new — Algebra::MIndex
- ::new — Algebra::Polynomial
- ::new — Algebra::MatrixAlgebraTriplet
- ::new — Algebra::MatrixAlgebraQuint
- ::new — Algebra::Vector
- ::new — Algebra::Covector
- ::new — Algebra::Scalar
- ::new — Algebra::PermutationGroup
- ::new — Algebra::Permutation
- ::new — Algebra::ResidueClassRing
- ::new_a — Algebra::Set
- ::new_a — Algebra::Map
- ::new_h — Algebra::Set
- ::new_org — Import_Module::Thread
- ::null — Algebra::Set
- ::null — Algebra::Map
- ::ord — Algebra::MPolynomial
- ::ord= — Algebra::MPolynomial
- ::perm — Algebra::PermutationGroup
- ::perm — Combinatorial
- ::perm0 — Combinatorial
- ::phi — Algebra::Set
- ::phi — Algebra::Map
- ::power — Combinatorial
- ::power0 — Combinatorial
- ::put — Marshal
- ::reduce — Algebra::LocalizedRing
- ::reduced_basis — Algebra::Groebner
- ::reduced_basis? — Algebra::Groebner
- ::reduced_basis_coeff — Algebra::Groebner
- ::reducible — Algebra::LocalizedRing
- ::reducible= — Algebra::LocalizedRing
- ::reduction — Algebra::Polynomial
- ::regulate — Algebra::MPolynomial
- ::regulate — Algebra::MatrixAlgebra
- ::regulate — Rational
- ::regulate — Algebra::SquareMatrix
- ::regulate — Numeric
- ::rep_comb — Combinatorial
- ::seki — Algebra::Factors
- ::set_V_ORDER — Algebra::MIndex
- ::set_ord — Algebra::MPolynomial
- ::set_ord — Algebra::MIndex
- ::set_v_ord — Algebra::MIndex
- ::simplify — Algebra::LocalizedRing
- ::singleton — Algebra::Set
- ::singleton — Algebra::Map
- ::start — Import_Module::Thread
- ::symmetric — Algebra::SquareMatrix
- ::symmetric — Algebra::PermutationGroup
- ::symmetric_product — Algebra::AlgebraicEquation
- ::to_ary — Algebra::AlgebraicExtensionField
- ::to_ary — Algebra::MPolynomial
- ::to_ary — Algebra::Polynomial
- ::transpose — Algebra::MatrixAlgebra
- ::ufd? — Algebra::MPolynomial
- ::ufd? — Numeric
- ::unit_group — Algebra::PermutationGroup
- ::unity — Algebra::MPolynomial
- ::unity — Rational
- ::unity — Algebra::SquareMatrix
- ::unity — Numeric
- ::unity — Float
- ::unity — Complex
- ::unity — Algebra::PermutationGroup
- ::unity — Algebra::Permutation
- ::var — Algebra::MPolynomial
- ::var — Algebra::Polynomial
- ::variables — Algebra::Polynomial
- ::vars — Algebra::MPolynomial
- ::vars — Algebra::Polynomial
- ::vector — Algebra::Vector
- ::wedge — Rational
- ::with_ord — Algebra::MPolynomial
- ::with_ord_old — Algebra::MPolynomial
- ::zero — Algebra::MPolynomial
- ::zero — Algebra::MatrixAlgebra
- ::zero — Rational
- ::zero — Numeric
- ::zero — Float
- ::zero — Complex
- #% — Algebra::MPolynomial
- #% — Algebra::Polynomial
- #& — Algebra::Set
- #* — Algebra::MPolynomial
- #* — Algebra::MatrixAlgebra
- #* — Algebra::Factors
- #* — Algebra::Set
- #* — Algebra::Map
- #* — Algebra::LocalizedRing
- #* — Algebra::Polynomial
- #* — Algebra::Scalar
- #* — Algebra::Permutation
- #* — Algebra::ResidueClassRing
- #* — Algebra::AlgebraBase
- #** — Algebra::Factors
- #** — Algebra::Set
- #** — Algebra::LocalizedRing
- #** — Algebra::AlgebraBase
- #** — Algebra::Powers
- #+ — Algebra::MPolynomial
- #+ — Algebra::MatrixAlgebra
- #+ — Algebra::Set
- #+ — Algebra::LocalizedRing
- #+ — Algebra::MIndex
- #+ — Algebra::Polynomial
- #+ — Algebra::Scalar
- #+ — Algebra::ResidueClassRing
- #+ — Algebra::AlgebraBase
- #+@ — Algebra::AlgebraBase
- #- — Algebra::MPolynomial
- #- — Algebra::MatrixAlgebra
- #- — Algebra::Set
- #- — Algebra::LocalizedRing
- #- — Algebra::MIndex
- #- — Algebra::Polynomial
- #- — Algebra::Scalar
- #- — Algebra::ResidueClassRing
- #- — Algebra::AlgebraBase
- #-@ — Algebra::AlgebraBase
- #/ — Algebra::MPolynomial
- #/ — Algebra::MatrixAlgebra
- #/ — Algebra::Set
- #/ — Algebra::SquareMatrix
- #/ — Algebra::LocalizedRing
- #/ — Algebra::Polynomial
- #/ — Algebra::ResidueClassRing
- #/ — Algebra::AlgebraBase
- #/ — Algebra::MPolynomial::Monomial
- #< — Algebra::Set
- #<< — Algebra::Factors
- #<< — Algebra::Set
- #<= — Algebra::Set
- #<=> — Algebra::MPolynomial
- #<=> — Algebra::Polynomial
- #<=> — Algebra::MIndex::Lex
- #<=> — Algebra::MIndex::Grlex
- #<=> — Algebra::MIndex::Grevlex
- #<=> — Algebra::MIndex::V_lex
- #<=> — Algebra::MIndex::V_grlex
- #<=> — Algebra::MIndex::V_grevlex
- #<=> — Algebra::MPolynomial::Monomial
- #== — Algebra::MPolynomial
- #== — Algebra::MatrixAlgebra
- #== — Algebra::Factors
- #== — Algebra::Set
- #== — Algebra::LocalizedRing
- #== — Algebra::MIndex
- #== — Algebra::Polynomial
- #== — Algebra::Permutation
- #== — Algebra::ResidueClassRing
- #== — Algebra::AlgebraBase
- #> — Algebra::Set
- #>= — Algebra::Set
- #AlgebraicExtensionField — Algebra
- #Covector — Algebra
- #D — Algebra::Group
- #K — Algebra::Group
- #LocalizedRing — Algebra
- #MPolynomial — Algebra
- #MRationalFunctionField — Algebra
- #MatrixAlgebra — Algebra
- #MinimalDecompositionField — Algebra
- #Polynomial — Algebra
- #QuadraticExtensionField — Algebra
- #RationalFunctionField — Algebra
- #ResidueClassRing — Algebra
- #Root — Algebra
- #S_pair — Algebra::Groebner
- #S_pair_coeff — Algebra::Groebner
- #Sqrt — Algebra
- #SquareMatrix — Algebra
- #Vector — Algebra
- #Z — Algebra::Group
- #[] — Algebra::AlgebraicExtensionField
- #[] — Algebra::MPolynomial
- #[] — Algebra::MatrixAlgebra
- #[] — Algebra::Map
- #[] — Algebra::MIndex
- #[] — Algebra::Polynomial
- #[] — Algebra::MatrixAlgebraTriplet
- #[] — Algebra::Vector
- #[] — Algebra::Covector
- #[] — Algebra::Permutation
- #[] — Primes
- #[]= — Algebra::MPolynomial
- #[]= — Algebra::MatrixAlgebra
- #[]= — Algebra::Map
- #[]= — Algebra::MIndex
- #[]= — Algebra::Polynomial
- #^ — Algebra::AlgebraBase
- #_auto_req — Module
- #_auto_req_init — Module
- #_char_matrix — Algebra::SquareMatrix
- #_coeff — Algebra::ElementaryDivisor
- #_each_subset — Algebra::Set
- #_factorize — Algebra::MPolynomialFactorization
- #_factorize — Algebra::PolynomialFactorization::Z
- #_hensel_lift — Algebra::MPolynomialFactorization
- #_inspect — Algebra::Polynomial
- #_methods — Import_Module::Scope::Source
- #_normalize! — Algebra::GaussianElimination
- #_sqfree — Algebra::MPolynomialFactorization
- #_subgroups — Algebra::Group
- #abs_lift — Algebra::AlgebraicExtensionField
- #act — Algebra::Map
- #act — Algebra::OperatorDomain
- #activate — Import_Module::Scope
- #adjoint — Algebra::MatrixAlgebra
- #adopt — Import_Module::Object
- #adopt_module — Import_Module::API
- #alias_method — Import_Module::Module
- #alias_method_orig — Import_Module::Module
- #all? — Enumerable
- #annihilate — Algebra::MIndex
- #annihilate_away_from — Algebra::MPolynomial
- #any? — Enumerable
- #append — Algebra::Set
- #append — Algebra::Map
- #append! — Algebra::Set
- #append! — Algebra::Map
- #ascending_central_series — Algebra::Group
- #auto_req — Object
- #auto_req — Module
- #auto_req_init — Object
- #auto_req_init — Module
- #auto_req_s — Module
- #auto_req_s_init — Module
- #base_class — Algebra::Map
- #bijections — Algebra::Set
- #bijective? — Algebra::Map
- #call — Algebra::MPolynomial
- #call — Algebra::Map
- #call — Algebra::Polynomial
- #call — Algebra::Permutation
- #callL — Algebra::Polynomial
- #callR — Algebra::Polynomial
- #cap — Algebra::Set
- #cast — Algebra::Set
- #center — Algebra::Group
- #center? — Algebra::Group
- #centorize — Algebra::MPolynomialFactorization
- #centorize — Algebra::PolynomialFactorization::Z
- #centralizer — Algebra::Group
- #char_matrix — Algebra::SquareMatrix
- #char_polynomial — Algebra::SquareMatrix
- #char_polynomial0 — Algebra::SquareMatrix
- #closed? — Algebra::Group
- #co_diagonal — Combinatorial::Diagonal
- #coeffs_at — Algebra::MPolynomial
- #coerce — Algebra::MatrixAlgebra
- #coerce — Algebra::AlgebraBase
- #cofactor — Algebra::MatrixAlgebra
- #cofactor_matrix — Algebra::MatrixAlgebra
- #collect — Algebra::Factors
- #collect! — Algebra::Factors
- #collect_away_from — Algebra::MPolynomial
- #collect_column — Algebra::MatrixAlgebra
- #collect_ij — Algebra::MatrixAlgebra
- #collect_row — Algebra::MatrixAlgebra
- #collecti — Enumerable
- #column — Algebra::MatrixAlgebra
- #columns — Algebra::MatrixAlgebra
- #comb — Combinatorial
- #commutator — Algebra::Group
- #commutator_series — Algebra::Group
- #compact — Algebra::MIndex
- #compact! — Algebra::MPolynomial
- #compact! — Algebra::MIndex
- #compact! — Algebra::Polynomial
- #compile — Algebra::AlgebraicParser
- #complete — Algebra::Group
- #complete — Algebra::Galois
- #complete! — Algebra::Group
- #compose — Algebra::Map
- #concat — Algebra::Factors
- #concat — Algebra::Set
- #conjugacy_class — Algebra::Group
- #conjugacy_classes — Algebra::Group
- #conjugate — Algebra::Permutation
- #const — Algebra::SquareMatrix
- #constant? — Algebra::MPolynomial
- #constant? — Algebra::Polynomial
- #constant_coeff — Algebra::MPolynomial
- #cont — Algebra::EuclidianRing
- #contQ — Algebra::MPolynomialFactorization::Q
- #contQ — Algebra::PolynomialFactorization::Q
- #cont_pp — Algebra::EuclidianRing
- #contains? — Algebra::Set
- #convert_to — Algebra::MPolynomial
- #convert_to — Algebra::MatrixAlgebra
- #convert_to — Algebra::Polynomial
- #convert_to — Algebra::ResidueClassRing
- #convert_to — Algebra::PolynomialConvertTo
- #convert_to — Algebra::MPolynomialConvertTo
- #correct_lc! — Algebra::Factors
- #coset — Algebra::OperatorDomain
- #create — Algebra::AlgebraCreator
- #csize — Algebra::MatrixAlgebra
- #csize — Algebra::MatrixAlgebraTriplet
- #cup — Algebra::Set
- #current — Import_Module::Scope::Stack
- #decomp_on_cofactors_over_p_adic_int_first — Algebra::ChineseRemainderTheorem
- #decompose — Algebra::SplittingField
- #decompose_cyclic — Algebra::Permutation
- #decompose_on_cofactors_modp — Algebra::ChineseRemainderTheorem
- #decompose_on_cofactors_p_adic — Algebra::ChineseRemainderTheorem
- #decompose_on_factors — Algebra::ChineseRemainderTheorem
- #decompose_transposition — Algebra::Permutation
- #decreasing_series — Algebra::Set
- #def_methods — Import_Module::Scope
- #def_orig_methods — Import_Module::Scope::Target
- #deg — Algebra::MPolynomial
- #deg — Algebra::Polynomial
- #deg_at — Algebra::MPolynomial
- #degree — Algebra::Permutation
- #derivate — Algebra::MPolynomial
- #derivate — Algebra::Polynomial
- #derivate_at — Algebra::MPolynomial
- #descending_central_series — Algebra::Group
- #det — Algebra::SquareMatrix
- #determinant — Algebra::SquareMatrix
- #determinant! — Algebra::SquareMatrix
- #determinant_by_elimination — Algebra::SquareMatrix
- #determinant_by_elimination_euclidian — Algebra::SquareMatrix
- #determinant_by_elimination_euclidian_old — Algebra::SquareMatrix
- #determinant_by_elimination_old — Algebra::SquareMatrix
- #devide? — Integer
- #devide? — Rational
- #devide? — Algebra::MIndex
- #devide? — Algebra::AlgebraBase
- #devide_or? — Algebra::MIndex
- #diag — Algebra::MatrixAlgebra
- #diagonal_cone — Combinatorial::Diagonal
- #diagonalize — Algebra::SquareMatrix
- #difference — Algebra::Set
- #difference_seq — Combinatorial::Diagonal
- #display — Algebra::MatrixAlgebra
- #display — Algebra::MatrixAlgebraTriplet
- #display_by_latex — Algebra::MatrixAlgebra
- #div — Algebra::Polynomial
- #div_cg — Algebra::Groebner
- #divide? — Algebra::Polynomial
- #divide? — Algebra::MPolynomial::Monomial
- #divide_c — Algebra::GaussianElimination
- #divide_c! — Algebra::MatrixAlgebraTriplet
- #divide_c! — Algebra::MatrixAlgebraQuint
- #divide_c! — Algebra::GaussianElimination
- #divide_or? — Algebra::MPolynomial::Monomial
- #divide_r — Algebra::GaussianElimination
- #divide_r! — Algebra::MatrixAlgebraTriplet
- #divide_r! — Algebra::MatrixAlgebraQuint
- #divide_r! — Algebra::GaussianElimination
- #divmod — Algebra::MPolynomial
- #divmod — Algebra::Polynomial
- #divmod_ED — Algebra::PolynomialFactorization::Z
- #divmod_s — Algebra::Groebner
- #divmod_s0 — Algebra::Groebner
- #divmod_variant — Algebra::MPolynomial
- #domain — Algebra::Map
- #dsum — Algebra::MatrixAlgebra
- #dup — Algebra::MatrixAlgebra
- #dup — Algebra::Factors
- #dup — Algebra::Set
- #dup — Algebra::Map
- #dup — Import_Module::Scope::Stack
- #dup — Algebra::MIndex
- #dup — Algebra::MatrixAlgebraTriplet
- #dup — Algebra::MatrixAlgebraQuint
- #e_deg — Algebra::MatrixAlgebra
- #e_diagonalize — Algebra::ElementaryDivisor
- #e_diagonalize! — Algebra::ElementaryDivisor
- #e_inverse — Algebra::ElementaryDivisor
- #each — Algebra::MPolynomial
- #each — Algebra::MatrixAlgebra
- #each — Algebra::Factors
- #each — Algebra::Set
- #each — Algebra::Map
- #each — Algebra::MIndex
- #each — Algebra::Polynomial
- #each — Algebra::Vector
- #each — Algebra::Covector
- #each — Numeric
- #each — Algebra::Permutation
- #each — Primes
- #each_column — Algebra::MatrixAlgebra
- #each_i — Algebra::MatrixAlgebra
- #each_i — Algebra::MatrixAlgebraTriplet
- #each_ij — Algebra::MatrixAlgebra
- #each_index — Algebra::MatrixAlgebra
- #each_j — Algebra::MatrixAlgebra
- #each_j — Algebra::MatrixAlgebraTriplet
- #each_member — Algebra::Set
- #each_non_trivial_subset — Algebra::Set
- #each_pair — Array
- #each_pair — Algebra::Set
- #each_pair_with_index — Array
- #each_point_int — Algebra::MPolynomialFactorization
- #each_point_zp — Algebra::MPolynomialFactorization
- #each_product — Algebra::Factors
- #each_product — Algebra::Set
- #each_product0 — Algebra::Factors
- #each_row — Algebra::MatrixAlgebra
- #each_subset — Algebra::Set
- #el_sweep! — Algebra::ElementaryDivisor
- #el_sweep_old! — Algebra::ElementaryDivisor
- #elementary_divisor — Algebra::ElementaryDivisor
- #empty? — Algebra::Factors
- #empty? — Algebra::Set
- #empty? — Algebra::MIndex
- #empty_set — Algebra::Set
- #empty_set — Algebra::Map
- #empty_set? — Algebra::Set
- #eql? — Algebra::Set
- #eql? — Algebra::MIndex
- #eql? — Algebra::Permutation
- #equiv_class — Algebra::Set
- #evaluate — Algebra::MPolynomial
- #evaluate — Algebra::Polynomial
- #evaluate — Algebra::ResidueClassRing
- #evaluateL — Algebra::Polynomial
- #evaluateR — Algebra::Polynomial
- #evaluate_old — Algebra::Polynomial
- #export_current — Import_Module::Stack
- #export_current — Import_Module::Scope::Stack
- #expr — Algebra::AlgebraicParser
- #expr1 — Algebra::AlgebraicParser
- #fact — Algebra::Factors
- #fact_all — Algebra::Factors
- #fact_all_u — Algebra::Factors
- #fact_size — Algebra::Factors
- #factor — Algebra::AlgebraicParser
- #factorize — Algebra::MPolynomial
- #factorize — Algebra::PolynomialFactorization
- #factorize_alg — Algebra::Polynomial
- #factorize_alg_old — Algebra::Polynomial
- #factorize_int — Algebra::MPolynomialFactorization
- #factorize_int — Algebra::PolynomialFactorization::Z
- #factorize_modp — Algebra::MPolynomialFactorization
- #factorize_modp — Algebra::PolynomialFactorization::Zp
- #factorize_rational — Algebra::MPolynomialFactorization::Q
- #factorize_rational — Algebra::PolynomialFactorization::Q
- #factors_of_sqfree — Algebra::PolynomialFactorization::Zp
- #find_all_s — Algebra::Set
- #flatten — Algebra::MatrixAlgebra
- #galois_group — Algebra::Galois
- #gb — Object
- #gbc — Object
- #gcd — Algebra::MPolynomial
- #gcd — Algebra::Factors
- #gcd — Algebra::EuclidianRing
- #gcd3 — Algebra::EuclidianRing
- #gcd_all — Algebra::MPolynomial
- #gcd_all — Algebra::EuclidianRing
- #gcd_coeff — Rational
- #gcd_coeff — Algebra::EuclidianRing
- #gcd_coeff0 — Algebra::EuclidianRing
- #gcd_coeff_all — Algebra::EuclidianRing
- #gcd_ext — Algebra::EuclidianRing
- #gcd_ext_all — Algebra::EuclidianRing
- #gcd_rec — Algebra::EuclidianRing
- #gcm — Algebra::MIndex
- #gelfond_bound — Algebra::MPolynomialFactorization
- #get_orig_methods — Import_Module::Scope::Target
- #ground — Algebra::AlgebraBase
- #ground= — Algebra::AlgebraBase
- #ground_div — Algebra::Polynomial
- #has? — Algebra::Set
- #has? — Algebra::Map
- #hash — Algebra::Set
- #hash — Algebra::Map
- #hash — Algebra::LocalizedRing
- #hash — Algebra::MIndex
- #hash — Algebra::Permutation
- #head — Algebra::AlgebraicParser
- #head — Algebra::Factors
- #hello — Import_Module::Foo
- #hello — Import_Module::Bar
- #hello — Import_Module::Baz
- #hensel_lift — Algebra::PolynomialFactorization::Z
- #hensel_lift_int — Algebra::MPolynomialFactorization
- #hensel_lift_zp — Algebra::MPolynomialFactorization
- #horizontal_sweep! — Algebra::ElementaryDivisor
- #i2o — Algebra::MatrixAlgebra
- #identity? — Algebra::Map
- #identity_map — Algebra::Set
- #image — Algebra::Map
- #import — Import_Module::Object
- #import_module — Import_Module::API
- #incl? — Algebra::Set
- #include — Import_Module::Module
- #include? — Algebra::MPolynomial
- #include? — Algebra::Set
- #include_orig — Import_Module::Module
- #increasing_series — Algebra::Set
- #index — Algebra::Permutation
- #index_eval — Algebra::MPolynomial
- #indice_of_constant — Algebra::MPolynomial
- #initialzie — Algebra::SquareMatrix
- #inject — Combinatorial::Cubic
- #injections — Algebra::Set
- #injections0 — Algebra::Set
- #injective? — Algebra::Map
- #inner_product — Array
- #inner_product — Algebra::InnerProductSpace
- #inner_product_complex — Algebra::InnerProductSpace
- #inspect — Algebra::MPolynomial
- #inspect — Algebra::MatrixAlgebra
- #inspect — Rational
- #inspect — Algebra::Factors
- #inspect — Algebra::Set
- #inspect — Algebra::Map
- #inspect — Import_Module::Scope
- #inspect — Import_Module::Scope::Target
- #inspect — Import_Module::Scope::Source
- #inspect — Algebra::LocalizedRing
- #inspect — Algebra::MIndex
- #inspect — Algebra::Polynomial
- #inspect — Algebra::Vector
- #inspect — Algebra::Covector
- #inspect — Algebra::Permutation
- #inspect — Algebra::ResidueClassRing
- #intersection — Algebra::Set
- #inv — Algebra::QuotientGroup
- #inv — Algebra::Permutation
- #inv_coset — Algebra::Map
- #inv_image — Algebra::Map
- #inverse — Algebra::QuotientGroup
- #inverse — Algebra::Map
- #inverse — Algebra::SquareMatrix
- #inverse — Numeric
- #inverse — Algebra::Permutation
- #inverse — Algebra::ResidueClassRing
- #inverse_field — Algebra::SquareMatrix
- #irreducible? — Algebra::PolynomialFactorization
- #jordan_block_l — Algebra::JordanForm
- #jordan_block_u — Algebra::JordanForm
- #jordan_form — Algebra::MatrixAlgebra
- #jordan_form_info — Algebra::MatrixAlgebra
- #kernel_basis — Algebra::GaussianElimination
- #keys — Algebra::MPolynomial
- #latex — Algebra::MatrixAlgebra
- #lc — Algebra::MPolynomial
- #lc — Algebra::Polynomial
- #lc_at — Algebra::MPolynomial
- #lcm — Algebra::MPolynomial
- #lcm — Algebra::MIndex
- #lcm — Algebra::EuclidianRing
- #lcm — Algebra::MPolynomial::Monomial
- #lcm_all — Algebra::EuclidianRing
- #left_act — Algebra::Permutation
- #left_act — Algebra::OperatorDomain
- #left_coset — Algebra::OperatorDomain
- #left_eliminate! — Algebra::MatrixAlgebraTriplet
- #left_eliminate! — Algebra::GaussianElimination
- #left_eliminate_euclidian! — Algebra::GaussianElimination
- #left_inverse — Algebra::GaussianElimination
- #left_orbit! — Algebra::OperatorDomain
- #left_quotient — Algebra::OperatorDomain
- #left_representatives — Algebra::OperatorDomain
- #left_sweep — Algebra::GaussianElimination
- #lift — Algebra::ResidueClassRing
- #lifting — Algebra::ChineseRemainderTheorem
- #lifting — Algebra::PolynomialFactorization::Z
- #lm — Algebra::MPolynomial
- #lm — Algebra::Polynomial
- #lt — Algebra::MPolynomial
- #lt — Algebra::Polynomial
- #map — Algebra::MatrixAlgebra
- #map — Algebra::Factors
- #map! — Algebra::Factors
- #map_m — Algebra::Map
- #map_s — Algebra::Set
- #map_s — Algebra::Map
- #map_to — Algebra::MPolynomial
- #matrix — Algebra::MatrixAlgebra
- #mcorrect_lc! — Algebra::Factors
- #member? — Algebra::Set
- #member? — Algebra::Map
- #method_cash_clear — Algebra::MPolynomial
- #method_code — Import_Module::Scope
- #minimal_polynomial — Algebra::AlgebraicEquation
- #minor — Algebra::MatrixAlgebra
- #mix_c — Algebra::GaussianElimination
- #mix_c! — Algebra::MatrixAlgebraTriplet
- #mix_c! — Algebra::MatrixAlgebraQuint
- #mix_c! — Algebra::GaussianElimination
- #mix_r — Algebra::GaussianElimination
- #mix_r! — Algebra::MatrixAlgebraTriplet
- #mix_r! — Algebra::MatrixAlgebraQuint
- #mix_r! — Algebra::GaussianElimination
- #mk_cofacts — Algebra::ChineseRemainderTheorem
- #mod — Rational
- #modulus — Algebra::ResidueClassRing
- #modulus= — Algebra::ResidueClassRing
- #monic — Algebra::Polynomial
- #monic_int — Algebra::MPolynomialFactorization
- #monic_int — Algebra::PolynomialFactorization
- #monic_int_rev — Algebra::PolynomialFactorization
- #monomial — Algebra::MPolynomial
- #monomial — Algebra::Polynomial
- #monomial? — Algebra::MPolynomial
- #monomial? — Algebra::LocalizedRing
- #monomial? — Algebra::Polynomial
- #monomial? — Numeric
- #monomial? — Algebra::ResidueClassRing
- #move_const — Algebra::MPolynomial
- #move_const — Algebra::Polynomial
- #multideg — Algebra::MPolynomial
- #multideg — Algebra::MIndex
- #multiply — Algebra::Factors
- #multiply_c — Algebra::GaussianElimination
- #multiply_c! — Algebra::MatrixAlgebraTriplet
- #multiply_c! — Algebra::MatrixAlgebraQuint
- #multiply_c! — Algebra::GaussianElimination
- #multiply_r — Algebra::GaussianElimination
- #multiply_r! — Algebra::MatrixAlgebraTriplet
- #multiply_r! — Algebra::MatrixAlgebraQuint
- #multiply_r! — Algebra::GaussianElimination
- #need_paren_in_coeff? — Algebra::MPolynomial
- #need_paren_in_coeff? — Algebra::LocalizedRing
- #need_paren_in_coeff? — Algebra::Polynomial
- #need_paren_in_coeff? — Algebra::ResidueClassRing
- #nilpotency_class — Algebra::Group
- #nilpotent? — Algebra::Group
- #nop — Import_Module::Scope::Stack
- #norm — Algebra::Polynomial::Alg
- #norm2 — Algebra::InnerProductSpace
- #norm2_complex — Algebra::InnerProductSpace
- #normal? — Algebra::Group
- #normal_subgroups — Algebra::Group
- #normalize — Algebra::Orthogonalization
- #normalize! — Algebra::Factors
- #normalizer — Algebra::Group
- #nul? — Algebra::Set
- #null — Algebra::Set
- #null — Algebra::Map
- #old_mul — Algebra::MatrixAlgebra
- #orbit! — Algebra::OperatorDomain
- #orthogonal_basis — Algebra::MatrixAlgebra
- #orthogonalize — Algebra::Orthogonalization
- #p! — Object
- #param — Import_Module::Scope::Source
- #param0 — Import_Module::Scope::Source
- #part_of? — Algebra::Set
- #pdiv — Algebra::Polynomial
- #pdivmod — Algebra::LocalizedRing
- #pdivmod — Algebra::Polynomial
- #pdivmod — Numeric
- #pdivmod — Algebra::ResidueClassRing
- #perm — Algebra::SquareMatrix
- #perm — Combinatorial
- #perm0 — Combinatorial
- #pgcd — Algebra::EuclidianRing
- #phi — Algebra::Set
- #phi — Algebra::Map
- #phi? — Algebra::Set
- #pi — Algebra::Factors
- #pick — Algebra::Set
- #pop — Import_Module::Scope
- #pop — Import_Module::Scope::Stack
- #power — Algebra::AlgebraicParser
- #power — Algebra::Set
- #power — Combinatorial
- #power0 — Combinatorial
- #power_cubic — Combinatorial::Cubic
- #power_set — Algebra::Set
- #pp — Algebra::EuclidianRing
- #pp — Algebra::MPolynomialFactorization
- #ppQ — Algebra::MPolynomialFactorization::Q
- #ppQ — Algebra::PolynomialFactorization::Q
- #prem — Algebra::Polynomial
- #prime_to? — Algebra::MIndex
- #prime_to? — Algebra::MPolynomial::Monomial
- #product — Algebra::Set
- #project — Algebra::MPolynomial
- #project — Algebra::Polynomial
- #project0 — Algebra::MPolynomial
- #projectL — Algebra::Polynomial
- #prolong — Algebra::Galois
- #psqfree? — Algebra::PolynomialFactorization
- #push — Algebra::Factors
- #push — Algebra::Set
- #push — Import_Module::Scope
- #push — Import_Module::Scope::Stack
- #quotient — Algebra::OperatorDomain
- #quotient_group — Algebra::Group
- #rank — Algebra::MatrixAlgebra
- #recov_methods — Import_Module::Scope
- #reduce2onevar — Algebra::MPolynomial
- #reduce_over_prime_field — Algebra::PolynomialFactorization::Z
- #regulate — Numeric
- #regulate — Algebra::AlgebraBase
- #rehash — Algebra::Set
- #rem — Algebra::Polynomial
- #remove_method — Import_Module::Module
- #remove_method_orig — Import_Module::Module
- #rep_comb — Combinatorial
- #replace — Algebra::MatrixAlgebra
- #replace — Algebra::MatrixAlgebraTriplet
- #replace — Algebra::MatrixAlgebraQuint
- #representatives — Algebra::OperatorDomain
- #resist_orig_methods — Import_Module::Scope::Target
- #resolve_c — Algebra::PolynomialFactorization::Z
- #resultant — Algebra::Polynomial
- #resultant_by_elimination — Algebra::PolynomialFactorization::Z
- #reverse_each — Algebra::Polynomial
- #right_act — Algebra::Permutation
- #right_act — Algebra::OperatorDomain
- #right_coset — Algebra::OperatorDomain
- #right_orbit! — Algebra::OperatorDomain
- #right_quotient — Algebra::OperatorDomain
- #right_representatives — Algebra::OperatorDomain
- #row — Algebra::MatrixAlgebra
- #row! — Algebra::MatrixAlgebra
- #row! — Algebra::MatrixAlgebraTriplet
- #rows — Algebra::MatrixAlgebra
- #rsize — Algebra::MatrixAlgebra
- #rsize — Algebra::MatrixAlgebraTriplet
- #rsort — Array
- #rsort! — Array
- #rt — Algebra::MPolynomial
- #rt — Algebra::Polynomial
- #rt! — Algebra::MPolynomial
- #select_s — Algebra::Set
- #semi_complete — Algebra::Group
- #semi_complete! — Algebra::Group
- #sentence — Algebra::AlgebraicParser
- #separate — Algebra::Set
- #separate — Algebra::Group
- #sequence — Algebra::AlgebraicParser
- #set_column — Algebra::MatrixAlgebra
- #set_meth_no — Import_Module::Scope
- #set_methods — Import_Module::Scope
- #set_orig_method — Import_Module::API
- #set_row — Algebra::MatrixAlgebra
- #shift — Algebra::Factors
- #shift — Algebra::Set
- #sign — Algebra::SquareMatrix
- #sign — Algebra::Permutation
- #simple? — Algebra::Group
- #simplify — Algebra::MatrixAlgebra
- #simplify — Algebra::LocalizedRing
- #singleton — Algebra::Set
- #singleton? — Algebra::Set
- #size — Algebra::Factors
- #size — Algebra::Set
- #size — Algebra::SquareMatrix
- #size — Algebra::MIndex
- #size — Algebra::Polynomial
- #size — Algebra::Vector
- #size — Algebra::Covector
- #size — Algebra::Permutation
- #sizes — Algebra::MatrixAlgebra
- #solvable? — Algebra::Group
- #solve_eigen_value_problem — Algebra::SquareMatrix
- #sort — Algebra::Set
- #source — Algebra::Map
- #splitting_field — Algebra::SplittingField
- #sq_find_nondiv — Algebra::ElementaryDivisor
- #sqfree — Algebra::MPolynomialFactorization
- #sqfree — Algebra::PolynomialFactorization
- #sqfree? — Algebra::PolynomialFactorization
- #sqfree_over_integral — Algebra::PolynomialFactorization::Z
- #sqfree_zp — Algebra::MPolynomialFactorization
- #sswap_r! — Algebra::MatrixAlgebraTriplet
- #sswap_r! — Algebra::MatrixAlgebraQuint
- #sswap_r! — Algebra::GaussianElimination
- #step_matrix? — Algebra::GaussianElimination
- #store — Import_Module::Scope::Source
- #sub — Algebra::MPolynomial
- #sub — Algebra::Polynomial
- #subgroups — Algebra::Group
- #subset? — Algebra::Set
- #succ — Algebra::AlgebraicParser
- #succ — Primes
- #sum — Enumerable
- #sumation — Array
- #superior? — Algebra::AlgebraCreator
- #superset? — Algebra::Set
- #surjections — Algebra::Set
- #surjective? — Algebra::Map
- #swap_c — Algebra::GaussianElimination
- #swap_c! — Algebra::MatrixAlgebraTriplet
- #swap_c! — Algebra::MatrixAlgebraQuint
- #swap_c! — Algebra::GaussianElimination
- #swap_r — Algebra::GaussianElimination
- #swap_r! — Algebra::MatrixAlgebraTriplet
- #swap_r! — Algebra::MatrixAlgebraQuint
- #swap_r! — Algebra::GaussianElimination
- #sylvester_matrix — Algebra::Polynomial
- #symmetric_product — Algebra::AlgebraicEquation
- #sysvar — Algebra::AlgebraCreator
- #t — Algebra::MatrixAlgebra
- #tail — Algebra::Factors
- #term — Algebra::AlgebraicParser
- #test — Object
- #to_a — Algebra::Factors
- #to_a — Algebra::Set
- #to_a — Algebra::Group
- #to_a — Algebra::MIndex
- #to_a — Algebra::MatrixAlgebraTriplet
- #to_a — Algebra::MatrixAlgebraQuint
- #to_ary — Algebra::MatrixAlgebra
- #to_ary — Algebra::Factors
- #to_ary — Algebra::Set
- #to_ary — Algebra::MatrixAlgebraTriplet
- #to_ary — Algebra::MatrixAlgebraQuint
- #to_map — Algebra::Permutation
- #to_matrix — Algebra::JordanForm
- #to_matrix_l — Algebra::JordanForm
- #to_matrix_u — Algebra::JordanForm
- #to_proc — Algebra::Polynomial
- #to_quint — Algebra::MatrixAlgebra
- #to_s — Algebra::MPolynomial
- #to_s — Algebra::MatrixAlgebra
- #to_s — Algebra::Factors
- #to_s — Algebra::Set
- #to_s — Algebra::Map
- #to_s — Algebra::LocalizedRing
- #to_s — Algebra::MIndex
- #to_s — Algebra::Polynomial
- #to_s — Algebra::Vector
- #to_s — Algebra::Covector
- #to_s — Algebra::Permutation
- #to_s — Algebra::ResidueClassRing
- #to_s! — Algebra::MIndex
- #to_triplet — Algebra::MatrixAlgebra
- #totdeg — Algebra::MPolynomial
- #totdeg — Algebra::MIndex
- #totdeg_away_from — Algebra::MPolynomial
- #transpose — Algebra::MatrixAlgebra
- #transpose — Algebra::MatrixAlgebraTriplet
- #transpose — Algebra::MatrixAlgebraQuint
- #transpose — Algebra::Vector
- #transpose — Algebra::Covector
- #try_e — Algebra::PolynomialFactorization::Z
- #types — Algebra::MatrixAlgebra
- #undef_method — Import_Module::Module
- #undef_method_orig — Import_Module::Module
- #union — Algebra::Set
- #unit? — Algebra::MPolynomial
- #unit? — Algebra::LocalizedRing
- #unit? — Numeric
- #unit? — Algebra::AlgebraBase
- #unit_group — Algebra::Group
- #unity — Algebra::MIndex
- #unity — Numeric
- #unity — Algebra::Permutation
- #unity — Algebra::AlgebraBase
- #unity? — Algebra::MIndex
- #unity? — Numeric
- #unity? — Algebra::AlgebraBase
- #unshift — Algebra::Factors
- #update — Import_Module::Scope
- #use_setname — Class
- #value_on — Algebra::PolynomialConverter
- #value_on — Algebra::MPolynomialConverter
- #value_on_idx — Algebra::MPolynomialConverter
- #value_on_one — Algebra::Polynomial
- #values — Algebra::MPolynomial
- #var — Algebra::Polynomial
- #var_swap — Algebra::PolynomialConverter
- #variable — Algebra::Polynomial
- #variable= — Algebra::Polynomial
- #variables — Algebra::MPolynomial
- #vars — Algebra::MPolynomial
- #vectors — Algebra::MatrixAlgebra
- #verschiebung — Algebra::MPolynomialFactorization
- #verschiebung — Algebra::PolynomialFactorization::Zp
- #vertical_sweep! — Algebra::ElementaryDivisor
- #weak_factors_and_r — Algebra::PolynomialFactorization::Zp
- #wedge — Algebra::AlgebraCreator
- #zero — Numeric
- #zero — Algebra::AlgebraBase
- #zero? — Algebra::MPolynomial
- #zero? — Algebra::AlgebraBase
- #| — Algebra::Set
- #| — Algebra::Groebner