https://github.com/msakai/poly-ruby

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https://github.com/msakai/poly-ruby

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Personal mirror of http://www.math.kobe-u.ac.jp/~kodama/tips-RubyPoly.html

• Host: GitHub
• URL: https://github.com/msakai/poly-ruby
• Owner: msakai
• Created: 2014-07-21T01:54:10.000Z (over 10 years ago)
• Default Branch: master
• Last Pushed: 2014-07-21T01:57:59.000Z (over 10 years ago)
• Last Synced: 2024-10-13T23:49:02.076Z (3 months ago)
• Language: Ruby
• Size: 152 KB
• Stars: 0
• Watchers: 2
• Forks: 0
• Open Issues: 0
• Metadata Files:
  • Readme: README

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README

        
#

Polynomial and related classes on Ruby.

K.Kodama([email protected])

***** OVERVIEW ****

* Classes about polynomial, rational polynomial, hyper real(non-standard analyses). 

* This package is distributed freely in the sense of GNU General Public License(GPL).

  See http://www.gnu.org/copyleft/gpl.html .

* Polynomial-like classes:

    Polynomial: 1-variable polynomial

    PolynomialM: multi-variable polynomial

    RationalPoly: 1-variable rational polynomial

    RationalPolyM: multi-variable rational polynomial

* Coefficients:

  Coefficients are Integer or Float by default. And Z/pZ (p:prime).

  We can use Rational or Complex with require "rational" or require "complex". 

  Other field or ring is admitted if you define. 

* Grobner bases:

  For multi variable polynomials, it supports coefficients of

  Integer, Z/pZ (p:prime), Rational, Float and Complex.

  For 1-variable polynomials, it supports Integer coefficient and

  Integer coefficients Laurent polynomials.

* Factorization:

  It support factorization for 1-variable Integer and Rational coefficient.

* Hyper-Real (non-standard analyses) class:

  HyperReal class supports non-standard analyses.

  It supports infinity, infinitesimal, limit, derivatives, auto-diff.

* Extensions for Math functions:

  MathExt module supports many functions for

  HyperReal, Rational, Polynomial, RationalPoly, etc.

* Number theory:

  Number module contains some function on number theory and algebra.

* Samples:

  See samples scripts sample-*.rb.

* FTP:

  ftp://ftp.math.kobe-u.ac.jp/pub/knot/poly-ruby.(date).tar.gz

* WWW:

  http://www.math.kobe-u.ac.jp/HOME/kodama/tips-RubyPoly.html

* Mail:

  K.Kodama([email protected])

* Ruby:

  http://www.ruby-lang.org/ja/

***** THANKS *****

Many thanks to members of ruby-list mailing list for their advice.

# end