Entanglement content of kink excitations by Luca Capizzi, Michele Mazzoni

“…Second, we provide a field-theoretic framework based on the algebraic relations between the twist fields and the semilocal fields associated with the excitations, and we compute the Rényi entropies in this framework. …”
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Group-Valued Multisets by Andrei Alexandru, Gabriel Ciobanu

“…After presenting the algebraic groups in the framework of finitely supported sets, we study the finitely supported group-valued multisets. …”
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Implementing the Vieta–Lucas Collocation Optimization Method for MHD Casson and Williamson Model under the Effects of Heat Generation and Viscous Dissipation by M.M. Khader, A. Eid, M. Adel

“…This method is used to convert the problem’s system of ordinary differential equations (ODEs) into a nonlinear system of algebraic equations. This system is built as a restricted optimization problem and optimized to obtain the series solution’s unknown coefficients. …”
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On some constants in simultaneous approximation by K. Balázs, T. Kilgore

“…Pointwise estimates for the error which is feasible in simultaneous approximation of a function and its derivatives by an algebraic polynomial were originally pursued from theoretical motivations, which did not immediately require the estimation of the constants in such results. …”
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Differential Calculus on N-Graded Manifolds by G. Sardanashvily, W. Wachowski

“…This is a straightforward generalization of the conventional differential calculus over commutative rings and also is the case of the differential calculus over Grassmann algebras and on Z2-graded manifolds. We follow the notion of an N-graded manifold as a local-ringed space whose body is a smooth manifold Z. …”
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Heat Conduction of Micropolar Solids Sensitive to Mirror Reflections of Three-Dimensional Space by E. V. Murashkin, Y. N. Radayev

“…The primary purpose of the study was to find a heat flux vector that is algebraically equivalent to the microrotation pseudovector and to measure elementary volumes and areas using pseudoinvariants that are sensitive to mirror reflections. …”
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A Synchronization Criterion for Two Hindmarsh-Rose Neurons with Linear and Nonlinear Coupling Functions Based on the Laplace Transform Method by Chunlin Su, Bin Zhen, Zigen Song

“…The synchronization problem of two HR coupled neurons is ultimately converted into the stability problem of roots to a nonlinear algebraic equation. Then, an analytical criterion for synchronization between the two HR neurons can be given by using the Routh-Hurwitz criterion. …”
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A New Variant of B-Spline for the Solution of Modified Fractional Anomalous Subdiffusion Equation by M. S. Hashmi, Zainab Shehzad, Asifa Ashraf, Zhiyue Zhang, Yu-Pei Lv, Abdul Ghaffar, Mustafa Inc, Ayman A. Aly

“…The process results in the form of system of algebraic equations, which is solved using a variant of Thomas algorithm. …”
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Plethysm Products, Element– and Plus Constructions by Kaufmann, Ralph M., Monaco, Michael

“…We give a comprehensive theory linking these levels to each other as well as to Grothendieck element constructions, indexed enrichments, decorations and algebras.Specializing to groupoid actions leads to applications including the plus construction. …”
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A Two-Scale Discretization Scheme for Mixed Variational Formulation of Eigenvalue Problems by Yidu Yang, Wei Jiang, Yu Zhang, Wenjun Wang, Hai Bi

“…With this scheme, the solution of an eigenvalue problem on a fine grid Kh is reduced to the solution of an eigenvalue problem on a much coarser grid KH and the solution of a linear algebraic system on the fine grid Kh. Theoretical analysis shows that the scheme has high efficiency. …”
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A New Fractional-Order Map with Infinite Number of Equilibria and Its Encryption Application by Ahlem Gasri, Amina-Aicha Khennaoui, Adel Ouannas, Giuseppe Grassi, Apostolos Iatropoulos, Lazaros Moysis, Christos Volos

“…In particular, the conceived one dimensional map is algebraically simpler than all the proposed fractional maps in the literature. …”
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A Direct Eigenanalysis of Multibody System in Equilibrium by Cheng Yang, Dazhi Cao, Zhihua Zhao, Zhengru Zhang, Gexue Ren

“…The first kind Lagrange’s equation of the dynamics of multibody system is a set of differential algebraic equations, and the equations can be used to solve the equilibrium of the system. …”
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Method of formation of numerical projection-grid algorithm on basis of «three-dimensional regular element» for calculation of 3D-models of magnetic field in cylindrical coordinate... by A. A. Tatevosyan, E. G. Andreeva

“…The use of the «three-dimensional regular element» makes it possible to automate the process of forming a global system of linear algebraic equations in the projection-grid Galerkin method in combination with the finite element method bypassing the stage of constructing elemental systems of equations. …”
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A new product for soft sets with its decision-making: Soft star-product by Aslıhan Sezgin, Eylül Şenyiğit

“…In this paper, we introduce a novel soft product for soft sets, termed the soft star-product, along with its complete algebraic properties concerning various types of soft equalities and subsets. …”
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Deconvolution-Based CT and MR Brain Perfusion Measurement: Theoretical Model Revisited and Practical Implementation Details by Andreas Fieselmann, Markus Kowarschik, Arundhuti Ganguly, Joachim Hornegger, Rebecca Fahrig

“…Our description of the practical computer implementation is focused on the most frequently employed algebraic deconvolution methods based on the singular value decomposition. …”
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A Comparison of Implications in Orthomodular Quantum Logic—Morphological Analysis of Quantum Logic by Mitsuhiko Fujio

“…On the other hand, quantum logics are algebraically formalized as orhomodular or modular ortho-complemented lattices (Birkhoff and von Neumann, 1936; Maeda, 1980; Chiara and Giuntini, 2002), and shown to allow Kripke semantics (Chiara and Giuntini, 2002). …”
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Exploration of Ethnomathematics: Mathematics Integration in Ngesti Swara Music in Jatisobo Village by Vemas Dwi Agustino, Herry Agus Susanto

“…This means that every element of mathematics in this art will be explored. The algebraic domain, which discusses the application of sets in mathematics, and the geometry domain, which is studied from the shapes of the tools used in Ngesti Swara art performances, are the most explored domains. …”
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Scattering of Antiplane SH Waves by Complex Landforms by Menghan Sun, Hui Qi

“…The complex model is divided into multiple subdomains by using the region matching method, then the wave functions in each subdomain are constructed by using the fractional-order Bessel function, and finally, the infinite algebraic equations for solving the unknown coefficients in the wave function are established by using the multipolar coordinate technique and the complex function method according to the boundary conditions. …”
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A New Numerical Technique for Index-3 DAEs Arising from Constrained Multibody Mechanical Systems by Brahim Benhammouda

“…Index-3 differential-algebraic equations (DAEs) are mathematical models for the dynamics of constrained multibody mechanical systems that arise in many applications. …”
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Qualitative Reasoning for Quantitative Simulation by Mehmet Fatih Hocaoğlu

“…For this purpose, sign algebraic properties and derivation roots of quantitative equations and qualitative variable values with their change directions were used to compute time advances. …”
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