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# 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
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