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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21-30 订阅
排序:
Using the Interval-Symbol Method with Zero Rewriting to factor polynomials over algebraic number fields
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ACM COMMUNICATIONS IN computer algebra 2023年 第2期57卷 21-30页
作者: Okuda, Kazuki Shirayanagi, Kiyoshi Toho Univ 2-2-1 Miyama Funabashi Chiba 2748510 Japan
The ISZ method (Interval-Symbol method with Zero rewriting) based on stabilization theory was proposed to reduce the amount of exact computations as much as possible but obtain the exact results by aid of floating-poi... 详细信息
来源: 评论
Fully Private Grouped Matrix Multiplication with Colluding Workers
Fully Private Grouped Matrix Multiplication with Colluding W...
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2023 IEEE International Symposium on Information theory, ISIT 2023
作者: Tauz, Lev Dolecek, Lara University of California Department of Electrical and Computer Engineering Los Angeles United States
In this paper, we present a novel variation of the coded matrix multiplication problem which we refer to as fully private grouped matrix multiplication (FPGMM). In FPGMM, a master wants to compute a group of matrix pr... 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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n-Dimensional Polynomial Chaotic System With applications
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IEEE TRANSACTIONS ON CIRCUITS AND SYSTEMS I-REGULAR PAPERS 2022年 第2期69卷 784-797页
作者: Hua, Zhongyun Zhang, Yinxing Bao, Han Huang, Hejiao Zhou, Yicong Harbin Inst Technol Sch Comp Sci & Technol Shenzhen 518055 Peoples R China Changzhou Univ Sch Microelect & Control Engn Changzhou 213164 Peoples R China Univ Macau Dept Comp & Informat Sci Macau 999078 Peoples R China
Designing high-dimensional chaotic maps with expected dynamic properties is an attractive but challenging task. The dynamic properties of a chaotic system can be reflected by the Lyapunov exponents (LEs). Using the in... 详细信息
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24th International Workshop on computer algebra in Scientific Computing, CASC 2022
24th International Workshop on Computer Algebra in Scientifi...
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24th International Workshop on computer algebra in Scientific Computing, CASC 2022
The proceedings contain 21 papers. The special focus in this conference is on computer algebra in Scientific Computing. The topics include: A General Method of Finding New Symplectic Schemes for Hamiltonian ...
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EXTENDED ROTA-BAXTER algebraS, DIAGONALLY COLORED DELANNOY PATHS AND HOPF algebraS
arXiv
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arXiv 2024年
作者: Zheng, Shanghua Guo, Li Qiu, Huizhen School of Mathematics and Statistics Jiangxi Normal University Jiangxi Nanchang330022 China Department of Mathematics and Computer Science Rutgers University NewarkNJ07102 United States
MSC Codes 16W99, 17B37, 16S10, 16T10, 16T30, 57R56The Rota-Baxter operator and the modified Rota-Baxter operator on various algebras are both important in mathematics and mathematical physics. The former is originated... 详细信息
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Counting invariant subspaces and decompositions of additive polynomials
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JOURNAL OF SYMBOLIC COMPUTATION 2021年 105卷 214-233页
作者: Gathen, Joachim von zur Giesbrecht, Mark Ziegler, Konstantin Univ Bonn B IT D-53115 Bonn Germany Univ Waterloo Cheriton Sch Comp Sci Waterloo ON N2L 3G1 Canada Univ Appl Sci Landshut D-84036 Landshut Germany
The functional (de)composition of polynomials is a topic in pure and computer algebra with many applications. The structure of decompositions of (suitably normalized) polynomials f = g circle h in F[x] over a field F ... 详细信息
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BOUNDS ON THE REALIZATIONS OF ZERO-NONZERO PATTERNS AND SIGN CONDITIONS OF polynomials RESTRICTED TO VARIETIES AND applications
arXiv
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arXiv 2024年
作者: Basu, Saugata Parida, Laxmi Department of Mathematics Purdue University West LafayetteIN47906 United States IBM T.J. Watson Research Center Yorktown HeightsNY10598 United States
We prove upper bounds which are independent of the dimension of the ambient space, on the number of realizable zero-nonzero patterns as well as sign conditions (when the field of coefficients is ordered) of a finite s... 详细信息
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Linked Partition Ideals and a Schur-Type Identity of Andrews  19th
Linked Partition Ideals and a Schur-Type Identity of Andrews
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19th Workshops on Combinatorial and Additive number theory, CANT 2021
作者: Chern, Shane Department of Mathematics and Statistics Dalhousie University HalifaxNSB3H 4R2 Canada
In his contribution to the Proceedings of the 1998 AMS–IMS–SIAM Joint Summer Research Conference on q-Series, Combinatorics, and computer algebra, Andrews considered a variant of Schur’s partition theorem, concerni... 详细信息
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Sums of binomial coefficients evaluated at a ∈(Q)over-bar, and applications
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JOURNAL OF algebra 2021年 587卷 171-214页
作者: Kalinov, Daniil Mandelshtam, Andrei
The additive monoid R+(x) is defined as the set of all nonnegative integer linear combinations of binomial polynomials ((x)(n)) for n is an element of Z(+). This paper is concerned with the inquiry into the structure ... 详细信息
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