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New class
- Set
- Map
- Group
- PermuationGroup
- AlgebraicExtensionField
New methods
- Galois#group
- Polynomial#splitting_field
- Rename MinimalDecompositionField to decompose
- Move *.rb to lib/
- Define Polynomial.to_ary and MPolynomial.to_ary
- MPolynomial#with_ord
- Orderings belong to MPolynomial.
- MIndex is not a subclass of Array, now.
- "Integer < Numeric" ==> "Integer"
- Improve Algorithm of Factorization over algebraic fields
- Elementary Divisor
- Jordan Form
- Minimal Decomposition Field
- move "MatrixAlgebra" to "Algebra::MatrixAlgebra"
- move "MatrixAlgebra::Vector" to "Algebra::Vector"
- move "MatrixAlgebra::Covector" to "Algebra::Covector",
- move "MatrixAlgebra::SquareMatrix" to "Algebra::SquareMatrix"
One-variate polynomial
- Fundamental operations (addition, multiplication, quotient/remainder, ...)
- factorization
Multi-variate polynomial
- Fundamental operations (addition, multiplication, ...)
- factorization
- Creating Groebner-basis, quotient/remainder by Groebner-basis.
Algebraic systems
- Creating quotient fields
- Creating residue class fields
- Operating matrices.
Linear Algebra
- Diagonalization of Symmetrix Matrix
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