A Novel Scheme for Construction of S-Box Using Action of Power Associative Loop and Its Applications in Text Encryption by Muhammad Asif, Sayeda Wajiha, Sameh Askar, Hijaz Ahmad

“…The conventional construction of substitution boxes (S-boxes) has long relied on associative algebras such as Galois fields and cyclic groups. However, recent developments have motivated researchers to investigate non-associative algebras. …”
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Solving Fuzzy Volterra Integrodifferential Equations of Fractional Order by Bernoulli Wavelet Method by R. Mastani Shabestari, R. Ezzati, T. Allahviranloo

“…Using the collocation points, this method transforms the fuzzy fractional integrodifferential equation to a matrix equation which corresponds to a system of nonlinear algebraic equations with unknown coefficients. To illustrate the method, it is applied to certain fuzzy fractional integrodifferential equations, and the results are compared.…”
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The connectedness of degeneracy loci in positive characteristic by Lodh, Rémi

“…The proof uses the explicit determination of the top étale cohomology group of an algebraic variety, a result communicated by Esnault.…”
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Generalized Green's functions for higher order boundary value matrix differential systems by R. J. Villanueva, L. Jodar

“…By using the concept of rectangular co-solution of certain algebraic matrix equation associated to the problem, an existence condition as well as an explicit closed form expression for the solution of possibly not well-posed boundary value problems is given avoiding the increase of the problem dimension.…”
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Nirmala and Banhatti-Sombor Index over Tensor and Cartesian Product of Special Class of Semigroup Graphs by Seda Oğuz Ünal

“…In this work, we calculated the Nirmala and Banhatti-Sombor index over the tensor and Cartesian product of a graph of an algebraic structure by presenting two different algorithms.…”
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Twisted holography by Kevin Costello, Davide Gaiotto

“…The duality relates the B-model on certain Calabi-Yau three-folds to two-dimensional chiral algebras defined as gauged βγ systems. The duality conjecturally captures a topological sector of more familiar AdS5/CFT4 holographic dualities.…”
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On completely 0-simple semigroups by Yue-Chan Phoebe Ho

“…Let S be a completely 0-simple semigroup and F be an algebraically closed field. Then for each 0-minimal right ideal M of S, M=B∪C∪{0}, where B is a right group and C is a zero semigroup. …”
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Toeplitz Operators on the Dirichlet Space of 𝔹n by HongZhao Lin, YuFeng Lu

“…We study the algebraic properties of Toeplitz operators on the Dirichlet space of the unit ball 𝔹n. …”
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On a general convergence for Broyden like update method by Rabindranath Sen, Rini Chattopadhyay, Tripti Saha

“…The role of Broyden's method as a powerful quasi-Newton method for solving unconstrained optimization problems or a system of nonlinear algebraic equations is well known. We offer here a general convergence criterion for a method akin to Broyden's method in Rn. …”
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Singularly perturbed Volterra integral equations with weakly singular kernels by Angelina Bijura

“…An interesting aspect of these problems is that the discontinuity of the kernel causes layer solutions to decay algebraically rather than exponentially within the initial (boundary) layer. …”
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On the Formal Integrability Problem for Planar Differential Systems by Antonio Algaba, Cristóbal García, Jaume Giné

“…We study the analytic integrability problem through the formal integrability problem and we show its connection, in some cases, with the existence of invariant analytic (sometimes algebraic) curves. From the results obtained, we consider some families of analytic differential systems in ℂ2, and imposing the formal integrability we find resonant centers obviating the computation of some necessary conditions.…”
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Transcendentality of zeros of higher dereivatives of functions involving Bessel functions by Lee Lorch, Martin E. Muldoon

“…., v.1, pp. 209-266] the deep results that (i) all zeros of Jv(x) and J′v(x) are transcendental when v is rational, x≠0, and (ii) J′v(x)/Jv(x) is transcendental when v is rational and x algebraic. As usual, Jv(x) is the Bessel function of first kind and order v. …”
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Pell’s equation, sum-of-squares and equilibrium measures on a compact set by Lasserre, Jean B.

“…We next extend this point of view to arbitrary compact basic semi-algebraic set $S\subset \mathbb{R}^n$ and obtain a generalized Pell’s equation (by analogy with the interval $[-1,1]$). …”
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Iterative reconstruction of medical phantoms on the computing cluster of EAGLE by S. A. Zolotarev, T. A. Taruat, E. G. Bilenko

“…Now one of the most important tasks is development and adaptation of iterative methods for the solution of the superbig rarefied systems of the algebraic equations. The problem of iterative parallel reconstruction of three-dimensional images of industrial facilities leads to such computing tasks. …”
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The Relationship between Two Kinds of Generalized Convex Set-Valued Maps in Real Ordered Linear Spaces by Zhi-Ang Zhou

“…A new notion of the ic-cone convexlike set-valued map characterized by the algebraic interior and the vector closure is introduced in real ordered linear spaces. …”
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Traveling Wave Solutions of the Benjamin-Bona-Mahony Water Wave Equations by A. R. Seadawy, A. Sayed

“…New traveling solutions of the KdV and BBM equations are obtained by implementing the extended direct algebraic and extended sech-tanh methods. The stability of the obtained traveling solutions is analyzed and discussed.…”
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An existence result for a new coupled system of differential inclusions involving with Hadamard fractional orders by Lili Zhang, Chengbo Zhai

“…By applying a fixed point theorem for three operators containing $ x\in{AxBx+Cx} $ in Banach algebras, we get an existence result for the discussed system via multi-valued maps in a Banach space. …”
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Tri-vector deformations with external fluxes by Sergei Barakin, Kirill Gubarev, Edvard T. Musaev

“…We derive explicit transformation rules for 11D supergravity component fields and prove that these generate solutions given the same algebraic conditions hold: generalized Yang–Baxter equation and the unimodularity condition.…”
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Pythagorean fuzzy Artinian and Noetherian ring by Meryem Fakhraoui, Idris Bakhadach, Sofyane Achik, Hamid Sadiki

“…Furthermore, this study introduces Pythagorean fuzzy Noetherian rings, delineating their intrinsic attributes, thereby enriching the comprehensive comprehension of these algebraic constructs.…”
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Some Stability and Convergence of Additive Runge-Kutta Methods for Delay Differential Equations with Many Delays by Haiyan Yuan, Jingjun Zhao, Yang Xu

“…It is shown that strongly algebraically stability gives D-Convergence DA, DAS, and ASI stability give GDN stability. …”
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