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Titlebook: Computer Algebra and Polynomials; Applications of Alge Jaime Gutierrez,Josef Schicho,Martin Weimann Book 2015 Springer International Publis

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发表于 2025-3-21 19:25:31 | 显示全部楼层 |阅读模式
书目名称Computer Algebra and Polynomials
副标题Applications of Alge
编辑Jaime Gutierrez,Josef Schicho,Martin Weimann
视频video
概述State-of-the-art research.Includes contributions from a set of experts in various coefficient domains and in applications of manipulation of polynomials.Provides interesting perspective on the rich an
丛书名称Lecture Notes in Computer Science
图书封面Titlebook: Computer Algebra and Polynomials; Applications of Alge Jaime Gutierrez,Josef Schicho,Martin Weimann Book 2015 Springer International Publis
描述.Algebra and number theory have always been counted among the most beautiful mathematical areas with deep proofs and elegant results. However, for a long time they were not considered that important in view of the lack of real-life applications. This has dramatically changed: nowadays we find applications of algebra and number theory frequently in our daily life..This book focuses on the theory and algorithms for polynomials over various coefficient domains such as a finite field or ring. The operations on polynomials in the focus are factorization, composition and decomposition, basis computation for modules, etc. Algorithms for such operations on polynomials have always been a central interest in computer algebra, as it combines formal (the variables) and algebraic or numeric (the coefficients) aspects..The papers presented were selected from the Workshop on Computer Algebra and Polynomials, which was held in Linz at the Johann Radon Institute for Computational and Applied Mathematics (RICAM) during November 25-29, 2013, at the occasion of the Special Semester on Applications of Algebra and Number Theory..
出版日期Book 2015
关键词algebra; computational geometry; computations on polynomials; computing methodologies; mathematical anal
版次1
doihttps://doi.org/10.1007/978-3-319-15081-9
isbn_softcover978-3-319-15080-2
isbn_ebook978-3-319-15081-9Series ISSN 0302-9743 Series E-ISSN 1611-3349
issn_series 0302-9743
copyrightSpringer International Publishing Switzerland 2015
The information of publication is updating

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Atmosphere system governing equations,sonek and Yung-Jung Kim compute the polynomial . modulo . explicitly for several . and they conjecture that the coefficients under the diagonal vanish. In this note we prove their conjecture and that the same property holds modulo the primes . and ..
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Ore Polynomials in Sage, D-finite closure properties; natural transformations between related algebras; guessing; desingularization; solvers for polynomials, rational functions and (generalized) power series. This paper is a tutorial on how to use the package.
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Jaime Gutierrez,Josef Schicho,Martin WeimannState-of-the-art research.Includes contributions from a set of experts in various coefficient domains and in applications of manipulation of polynomials.Provides interesting perspective on the rich an
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Lecture Notes in Computer Sciencehttp://image.papertrans.cn/c/image/233404.jpg
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