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检索条件"任意字段=Computer Algebra and Polynomials: Applications of Algebra and Number Theory"
644 条 记 录,以下是1-10 订阅
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computer algebra and polynomials: applications of algebra and number theory
Computer Algebra and Polynomials: Applications of Algebra an...
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Workshop on computer algebra and polynomials, 2013
作者: Gutierrez, Jaime University of Cantabria Santander Spain Ricam Linz Linz Austria University of Caen Caen France
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Explicit values of Bernoulli polynomials at rational numbers
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JOURNAL OF MATHEMATICAL ANALYSIS AND applications 2025年 第2期548卷
作者: Munkel, Florian Pehlivan, Lerna Williams, Kenneth S. St Marys Univ Dept Finance Informat Syst & Management Sci 923 Robie St Halifax NS B3H 3C3 Canada Univ Twente Fac Elect Engn Math & Comp Sci Drienerlolaan 5 NL-7522NB Enschede Netherlands Carleton Univ Ctr Res Algebra & Number Theory Sch Math & Stat 1125 Colonel Dr Ottawa ON K1S 5B6 Canada
We give an explicit formula for the value of the Bernoulli polynomial B2k(t) when t is a rational number in the interval (0, 1). When t = 12, 31, 32, 41, 34, 61, 65 the value of B2k(t) is known explicitly. In 1938 Emm... 详细信息
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Certifying Rings of Integers in number Fields  25
Certifying Rings of Integers in Number Fields
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14th Conference on Certified Programs and Proofs
作者: Baanen, Anne Villarello, Alain Chavarri Dahmen, Sander R. Vrije Univ Amsterdam Amsterdam Netherlands Lean FRO Redmond WA 98052 USA
number fields and their rings of integers, which generalize the rational numbers and the integers, are foundational objects in number theory. There are several computer algebra systems and databases concerned with the... 详细信息
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An alternative GPU acceleration for a pseudopotential plane-waves density functional theory code with applications to metallic systems
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computer PHYSICS COMMUNICATIONS 2025年 308卷
作者: Gong, Xuejun Dal Corso, Andrea Int Sch Adv Studies SISSA Via Bonomea 265 I-34136 Trieste Italy CNR IOM Via Bonomea 265 I-34136 Trieste Italy
We present an alternative GPU acceleration for plane waves pseudopotentials electronic structure codes designed for systems that have small unit cells but require a large number of k points to sample the Brillouin zon... 详细信息
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Galois groups of polynomials and neurosymbolic networks
arXiv
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arXiv 2025年
作者: Shaska, Elira Shaska, Tony Department of Computer Science Oakland University Rochester United States Department of Mathematics and Statistics Oakland University Rochester United States
This paper introduces a novel approach to understanding Galois theory, one of the foundational areas of algebra, through the lens of machine learning. By analyzing polynomial equations with machine learning techniques...
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Spectral properties of matrix polynomials in the max algebra
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LINEAR algebra AND ITS applications 2011年 第7期435卷 1626-1636页
作者: Gursoy, Buket Benek Mason, Oliver Natl Univ Ireland Hamilton Inst Maynooth Kildare Ireland
We consider the spectral properties of matrix polynomials over the max algebra. In particular, we show how the Perron-Frobenius theorem for the max algebra extends to such polynomials and illustrate the relevance of t... 详细信息
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MATRIX MULTIPLICATION AND DIVISION OF polynomials
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IEE PROCEEDINGS-D CONTROL theory AND applications 1985年 第3期132卷 95-99页
作者: PAPLINSKI, AP Department of Electrical and Electronic Engineering University of Adelaide Adelaide Australia
Formulas which replace multiplication and division of polynomials by equivalent matrix operations are derived. The expressions not only simplify the computational process but can also be used in those fields where for... 详细信息
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algebraS, polynomials AND PROGRAMS
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THEORETICAL computer SCIENCE 1990年 第1期70卷 3-34页
作者: WAGNER, EG Computer Science Principles Mathematical Sciences Department IBM Research Division T.J. Watson Research Center Yorktown Heights NY 10598 USA
This paper presents an introduction to some of the more algebraic applications of elementary category theory in computer science. Topics include: a category based look at universal algebra; the definition of polynomia... 详细信息
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SYMMETRICA, AN OBJECT ORIENTED computer-algebra SYSTEM FOR THE SYMMETRICAL GROUP
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JOURNAL OF SYMBOLIC COMPUTATION 1992年 第2-3期14卷 195-203页
作者: KERBER, A KOHNERT, A LASCOUX, A UER MATHS PARIS 7 LITPF-75251 PARIS 05FRANCE
This is a review of an object oriented computer algebra system which is devoted to epresentation theory, invariant theory and combinatorics of the symmetric group. Moreover, it can be used for classical multivariate p...
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Ore polynomials in Sage
Ore Polynomials in Sage
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computer algebra and polynomials: applications of algebra and number theory
作者: Kauers, Manuel Jaroschek, Maximilian Johansson, Fredrik Johannes Kepler Univ Linz RISC A-4040 Linz Austria Max Planck Inst Informat D-66123 Saarbrucken Germany INRIA Bordeaux Sud Ouest F-33405 Talence France IMB F-33405 Talence France
We present a Sage implementation of Ore algebras. The main features for the most common instances include basic arithmetic and actions;GCRD and LCLM;D-finite closure properties;natural transformations between related ... 详细信息
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