
[README-ja] [English]

ѥå

Version: 0.57  (2002.03.18)

Author:  Ϻ (sinara@blade.nagaokaut.ac.jp)

ϣѿ뤤¿ѿ¿༰׻뤿Υ饤֥Ǥ

0. ǽΰ

Ǥñˡ require "algebra" Ȥơ׻Ϥ뤳ȤǤ
require "algebra"
x = Polynomial(Integer, "x").var
puts( (x+1)**7 )
  #=> x^7 + 7x^6 + 21x^5 + 35x^4 + 35x^3 + 21x^2 + 7x + 1
puts( (x**7 + 7*x**6 + 21*x**5 + 35*x**4 + 35*x**3 + 21*x**2 + 7*x + 1).factorize )
  #=> (x + 1)^7

1. 

  Samples

2. ʥ饹⥸塼

  Algebra (⥸塼)
      Algebra::Polynomial (1ѿ¿༰ĥ饹)
      Algebra::EuclidianRing (桼åɴĥ⥸塼)
      Algebra::MPolynomial (¿ѿ¿༰ĥ饹)
      Algebra::ResidueClassRing (;ĥ饹)
      Algebra::AlgebraicExtentsionField (Υ饹)
      Algebra::LocalizedRing (ɽ경ĥ饹)
      Algebra::MatrixAlgebra (饹)
      Algebra::AlgebraicParser (ɽʸɾ饹)
      Algebra::Set (Υ饹)
      Algebra::Map (Υ饹)
      Algebra::Group (Υ饹)
      Algebra::PermutationGroup (ִΥ饹)
   

3. ¾

  Algebra::ElementaryDivisor (ñҥ⥸塼)
  Algebra::JordanForm (󥯥饹)
  Algebra::MatrixAlgebraTriplet (3ȹΥ饹)
  ϥɥ桼ƥƥ
  ¿༰Ѵ桼ƥƥ

4. ѥå



algebra.rb             Algebra 饤֥ѥե

ѿط

polynomial.rb          ѿ¿༰ĤΥ饹
euclidian-ring.rb      桼åƥƥ(G.C.D.η׻)
polynomial-factor.rb   ѿ¿༰ʬ饤֥
  polynomial-factor-int.rb   
  polynomial-factor-zp.rb    Zp
  polynomial-factor-alg.rb   Ū

¿ѿط

m-polynomial.rb         ¿ѿ¿༰ĤΥ饹
  m-index.rb            m-polynomial.rb β
m-polynomial-factor.rb   ѿ¿༰ʬ饤֥
  m-polynomial-factor-int.rb   
  m-polynomial-factor-zp.rb    Zp
groebner-basis.rb       ֥ʴη׻⥸塼
groebner-basis-coeff.rb η׻⥸塼



localized-ring.rb       κ饤֥
matrix-algebra.rb       Υ饹
  elementary-divisor.rb ñ⥸塼
  matrix-algebra.triplete.rb  3ȹ󥯥饹
  jordan-form.rb        󥯥饹
residue-class-ring.rb   ¿༰Ĥξ;
algebraic-extention-field.rb 
splitting-field.rb      ¿༰κǾʬ
galois-group.rb         Galois 
linear-algebra.rb       饤֥
algebraic-equation.rb   饤֥

ʬ

finite-set.rb           Υ饹
  finite-map.rb         Υ饹
  finite-group.rb       Υ饹
    permutation-group.rb  ִΥ饹

ʬ

prime-gen.rb            ǿ饹
numeric-supplement.rb   Numeric 䴰
polynomial-converter.rb ¿༰Ѵ桼ƥƥ
algebra-system.rb       Ϥζ̻
algebraic-parser.rb     ¿Ĥμʸɽɾ⥸塼

¾

array-supplement.rb     Array 䴰
doc-ja/                 ޥ˥奢ܸ(RD, HTML, TXT)
doc/                    ޥ˥奢Ѹ(RD, HTML, TXT)
sample/                 ץ륳
work/                   ʳȯȾ

5. ToDo

  todo.html

6. Changes

  changes.html

