Results 11 to 20 of about 8,500 (257)
An Alternative Methodical Approach and Its Effectiveness to Learn Change of Basis Matrices in an Engineering Linear Algebra Class [PDF]
2024 ASEE Annual Conference & Exposition ProceedingsOver the years, students have relied on textbook approaches to learn change of basis matrices. These methodologies often stem from complex abstract concepts, making them difficult for students to comprehend, especially for engineering students who do not have sufficient training for proofs.
Meiqin Li
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Triangular \(x\)-basis decompositions and derandomization of linear algebra algorithms over \(K[x]\)
Journal of Symbolic Computation, 2012 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Gupta, Somit +3 more
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Finding a Basis of a Linear System with Pairwise Distinct Discrete Valuations on an Algebraic Curve
Journal of Symbolic Computation, 2000 This is a more complete version, including proofs and examples, of a conference proceedings article by the authors [\textit{R. Matsumoto} and \textit{S. Miura} in: Applied algebra, algebraic algorithms and error correcting codes, 13th Int. Symp., AAECC-13, Honolulu 1999, Proc. Lect. Notes Comput. Sci. 1719, 271-281 (1999; Zbl 0958.14041)].
Ryutaroh Matsumoto, Shinji Miura
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Lie algebras of differentiations of linear algebras over a field
Дифференциальная геометрия многообразий фигур, 2021 In this paper, we study a system of linear equations that define the Lie algebra of differentiations DerA of an arbitrary finite-dimensional linear algebra over a field.
A. Ya. Sultanov +2 more
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Қарағанды университетінің хабаршысы. Математика сериясы, 2023 In recent years there has been a great interest in the study of Zinbiel (dual Leibniz) algebras. Let A be Zinbiel algebra over an arbitrary field K and let e1,e2,...,em,... be a linear basis of A. In 2010 A.
D.M. Zhangazinova, A.S. Naurazbekova
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On cogrowth function of algebras and its logarithmical gap
Comptes Rendus. Mathématique, 2021 Let $A \cong k\langle X \rangle / I$ be an associative algebra. A finite word over alphabet $X$ is $I$-reducible if its image in $A$ is a $k$-linear combination of length-lexicographically lesser words.
Kanel-Belov, Alexei Ya. +2 more
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Generalized quantum phase spaces for the κ-deformed extended Snyder model
Physics Letters B, 2023 We describe, in an algebraic way, the κ-deformed extended Snyder models, that depend on three parameters β,κ and λ, which in a suitable algebra basis are described by the de Sitter algebras o(1,N).
Jerzy Lukierski +3 more
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Feynman integral reduction using Gröbner bases
Journal of High Energy Physics, 2023 We investigate the reduction of Feynman integrals to master integrals using Gröbner bases in a rational double-shift algebra Y in which the integration-by-parts (IBP) relations form a left ideal.
Mohamed Barakat +4 more
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Homogeneous approximation for minimal realizations of series of iterated integrals
Visnik Harkivsʹkogo Nacionalʹnogo Universitetu im. V.N. Karazina. Cepiâ Matematika, Prikladna Matematika i Mehanika, 2022 In the paper, realizable series of iterated integrals with scalar coefficients are considered and an algebraic approach to the homogeneous approximation problem for nonlinear control systems with output is developed.
D. M. Andreieva, S. Yu. Ignatovich
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Integration-by-parts reductions of Feynman integrals using Singular and GPI-Space
Journal of High Energy Physics, 2020 We introduce an algebro-geometrically motived integration-by-parts (IBP) re- duction method for multi-loop and multi-scale Feynman integrals, using a framework for massively parallel computations in computer algebra.
Dominik Bendle +7 more
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