Results 1 to 10 of about 19,635 (117)

Differentiation of linear algebras with a unit over a field

Дифференциальная геометрия многообразий фигур, 2023
Linear algebras over a given field arise when studying various problems of algebra, analysis and geometry. The operation of differentiation, which originated in mathematical analysis, was transferred to the theory of linear algebras over a field, as well
A.Ya. Sultanov, M. V. Glebova, G. A. Sultanova   +2 more
doaj   +1 more source

Algebra Tiles as Physical Manipulatives to Support Students’ Understanding of Linear Equations in One Variable

Southeast Asian Mathematics Education Journal, 2022
To help students in solving the linear equations in one variable, teacher can use a learning media such as algebra tiles. Algebra tiles are square and rectangle-shaped tiles that represent numbers and variables.
Dyah Sinto Rini
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Formal Theories for Linear Algebra [PDF]

Logical Methods in Computer Science, 2012
We introduce two-sorted theories in the style of [CN10] for the complexity classes \oplusL and DET, whose complete problems include determinants over Z2 and Z, respectively.
Stephen A Cook, Lila A Fontes
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Automatic Continuity of Almost $n$-Multiplicative Linear Functionals [PDF]

Sahand Communications in Mathematical Analysis, 2022
We generalize a theorem due to Jarosz, by proving that every almost $n$-multiplicative linear functional on Banach algebra $A$ is automatically continuous.
Abbas Zivari-Kazempour
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On the derivations of cyclic Leibniz algebras

Karpatsʹkì Matematičnì Publìkacìï, 2022
Let $L$ be an algebra over a field $F$. Then $L$ is called a left Leibniz algebra, if its multiplication operation $[-,-]$ additionally satisfies the so-called left Leibniz identity: $[[a,b],c]=[a,[b,c]]-[b,[a,c]]$ for all elements $a,b,c\in L$. A linear
M.M. Semko, L.V. Skaskiv, O.A. Yarovaya
doaj   +1 more source

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, M.V. Glebova, O.V. Bolotnikova   +2 more
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Algorithmic complexity of linear nonassociative algebra

Вестник КазНУ. Серия математика, механика, информатика, 2020
One of the central problems of algebraic complexity theory is the complexity of multiplication in algebras. For this, first, the concept of algebra is defined and the class of algebras under study is fixed.
R. K. Kerimbaev, K. A. Dosmagulova, Zh. Kh. Zhunussova   +2 more
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Encouraging Students’ Motivation and Involvement in STEM Degrees by the Execution of Real Applications in Mathematical Subjects: The Population Migration Problem

Mathematics, 2022
This paper presents a simplified model of the population migration problem, addressed to first-year engineering students in order to show them the use of linear algebra tools.
María Teresa López-Díaz, Marta Peña
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Approximate Implicitization Using Linear Algebra

Journal of Applied Mathematics, 2012
We consider a family of algorithms for approximate implicitization of rational parametric curves and surfaces. The main approximation tool in all of the approaches is the singular value decomposition, and they are therefore well suited to floating-point ...
Oliver J. D. Barrowclough, Tor Dokken
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Enumeration and updates for conjunctive linear algebra queries through expressibility [PDF]

Logical Methods in Computer Science
Due to the importance of linear algebra and matrix operations in data analytics, there is significant interest in using relational query optimization and processing techniques for evaluating (sparse) linear algebra programs.
Thomas Muñoz, Cristian Riveros, Stijn Vansummeren   +2 more
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