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Physical Review ResearchThe advent of memristive devices offers a promising avenue for efficient and scalable analog computing, particularly for linear algebra operations essential in various scientific and engineering applications.
J. Lin, F. Barrows, F. Caravelli
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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 +2 more
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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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ALGEBRAIC LINEAR ORDERINGS [PDF]
International Journal of Foundations of Computer Science, 2011 An algebraic linear ordering is a component of the initial solution of a first-order recursion scheme over the continuous categorical algebra of countable linear orderings equipped with the sum operation and the constant 1. Due to a general Mezei-Wright type result, algebraic linear orderings are exactly those isomorphic to the linear ordering of the ...
Bloom, S. L., Ésik, Z.
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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
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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 +2 more
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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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