Results 1 to 10 of about 15,340 (120)
Axioms, 2022 The class of measure spaces which can be represented as unions of Lebesgue-Rohlin spaces with continuous measures contains a lot of important examples, such as Rn for any n∈N with the Lebesgue measure.
Taras Vasylyshyn, Kostiantyn Zhyhallo
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An Introduction to Symbolic 2-Plithogenic Modules Over Symbolic 2-Plithogenic Rings [PDF]
Neutrosophic Sets and Systems, 2023 The symbolic n-plithogenic sets and algebraic structures are a new branch of pure algebra released as new generalizations of classical algebraic structures. The main goal of this paper is to define for the first time the concept of symbolic 2-plithogenic
Nader Mahmoud Taffach +1 more
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Axioms, 2022 We construct a countable algebraic basis of the algebra of all symmetric continuous polynomials on the Cartesian product ℓp1×…×ℓpn, where p1,…,pn∈[1,+∞), and ℓp is the complex Banach space of all p-power summable sequences of complex numbers for p∈[1,+∞).
Andriy Bandura +2 more
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Numerical solution to Volterra integro-differential equations using collocation approximation [PDF]
Mathematics and Computational Sciences, 2023 This paper considers the collocation method for the numerical solution of the Volterra integro- differential equation using polynomial basis functions.
Ganiyu Ajileye, Sikiru Amoo
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Symmetric functions on spaces $\ell_p(\mathbb{{R}}^n)$ and $\ell_p(\mathbb{{C}}^n)$
Karpatsʹkì Matematičnì Publìkacìï, 2020 This work is devoted to the study of algebras of continuous symmetric polynomials, that is, invariant with respect to permutations of coordinates of its argument, and of $*$-polynomials on Banach spaces $\ell_p(\mathbb{R}^n)$ and $\ell_p(\mathbb{C}^n ...
T.V. Vasylyshyn
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Applications of Supersymmetric Polynomials in Statistical Quantum Physics
Quantum Reports, 2023 We propose a correspondence between the partition functions of ideal gases consisting of both bosons and fermions and the algebraic bases of supersymmetric polynomials on the Banach space of absolutely summable two-sided sequences ℓ1(Z0).
Iryna Chernega +3 more
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Research on Granular Conversion Computing in Algebraic Quotient Space [PDF]
Jisuanji kexue yu tansuo, 2022 Granular computing is a problem processing paradigm based on multi-level structure, which has attracted extensive attention of domestic and foreign scholars in recent years.
WEI Zongxuan, WANG Jiayang
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Analogues of the Newton formulas for the block-symmetric polynomials on $\ell_p(\mathbb{C}^s)$
Karpatsʹkì Matematičnì Publìkacìï, 2020 The classical Newton formulas gives recurrent relations between algebraic bases of symmetric polynomials. They are true, of course, for symmetric polynomials on infinite-dimensional Banach sequence spaces.
V.V. Kravtsiv
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Variable-basis Categorically-algebraic Dualities
Fuzzy Information and Engineering, 2014 The manuscript continues our study on developing a categorically-algebraic (catalg) analogue of the theory of natural dualities of D. Clark and B. Davey, which provides a machinery for obtaining topological representations of algebraic structures.
Sergey A. Solovyov
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Integral Cryptanalysis Using Algebraic Transition Matrices
IACR Transactions on Symmetric Cryptology, 2023 In this work we introduce algebraic transition matrices as the basis for a new approach to integral cryptanalysis that unifies monomial trails (Hu et al., Asiacrypt 2020) and parity sets (Boura and Canteaut, Crypto 2016).
Tim Beyne, Michiel Verbauwhede
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