Roman Pearce: New Applications
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en-us2016 Maplesoft, A Division of Waterloo Maple Inc.Maplesoft Document SystemSun, 07 Feb 2016 06:01:09 GMTSun, 07 Feb 2016 06:01:09 GMTNew applications published by Roman Pearcehttp://www.mapleprimes.com/images/mapleapps.gifRoman Pearce: New Applications
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Simplification with Side Relations
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This worksheet serves to introduce simplification with polynomial side relations. The attached code implements two new algorithms (by the author) for properly handling rational expressions.<img src="/view.aspx?si=1688/RatSimplify.JPG" alt="Simplification with Side Relations" align="left"/>This worksheet serves to introduce simplification with polynomial side relations. The attached code implements two new algorithms (by the author) for properly handling rational expressions.1688Mon, 14 Nov 2005 00:00:00 ZRoman PearceRoman PearceAdditional Functionality for PolynomialIdeals
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This is an add-on package for the PolynomialIdeals package in Maple 10. It contains routines for triangularizing and factoring systems of polynomial equations, representing the quotient ring as a finite dimensional vector space, computing normal forms and Groebner bases, performing multivariate polynomial interpolation, computing weighted degrees and initial forms, and many other things. Some of the routines here are new, while others are buried deep in Maple 10 and are not ordinarily accessible.<img src="/view.aspx?si=1647/piextras_198.gif" alt="Additional Functionality for PolynomialIdeals" align="left"/>This is an add-on package for the PolynomialIdeals package in Maple 10. It contains routines for triangularizing and factoring systems of polynomial equations, representing the quotient ring as a finite dimensional vector space, computing normal forms and Groebner bases, performing multivariate polynomial interpolation, computing weighted degrees and initial forms, and many other things. Some of the routines here are new, while others are buried deep in Maple 10 and are not ordinarily accessible.1647Wed, 03 Aug 2005 00:00:00 ZRoman PearceRoman PearceElliptic curve factoring method
http://www.maplesoft.com/applications/view.aspx?SID=3528&ref=Feed
This worksheet demonstrates an integer factorization method based on elliptic curves modulo n. I will present only a brief introduction to the theory of elliptic curves before writing the procedures for adding and multiplying points, finsihing with the general factorization algorithm. For a more thorough development of the ideas behind this method, I refer the reader to the excellent book; A Course in Number Theory and Cryptography , by Neal Koblitz. Please use this worksheet for good only. Do not use for evil. <img src="/view.aspx?si=3528//applications/images/app_image_blank_lg.jpg" alt="Elliptic curve factoring method" align="left"/>This worksheet demonstrates an integer factorization method based on elliptic curves modulo n. I will present only a brief introduction to the theory of elliptic curves before writing the procedures for adding and multiplying points, finsihing with the general factorization algorithm. For a more thorough development of the ideas behind this method, I refer the reader to the excellent book; A Course in Number Theory and Cryptography , by Neal Koblitz. Please use this worksheet for good only. Do not use for evil. 3528Mon, 18 Jun 2001 00:00:00 ZRoman PearceRoman Pearce