Accelerated Modeling of Transients in Electromagnetic Devices Based on Magnetoelectric Substitution Circuits by Sergii Tykhovod, Ihor Orlovskyi

“…This helps to transform integro-differential state equations into linear algebraic equations for the representations of the solution functions. …”
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2-Prime Hyperideals of Multiplicative Hyperrings by Mahdi Anbarloei

“…Multiplicative hyperrings are an important class of algebraic hyperstructures which generalize rings further to allow multiple output values for the multiplication operation. …”
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Finite-part singular integral approximations in Hilbert spaces by E. G. Ladopoulos, G. Tsamasphyros, V. A. Zisis

“…Therefore, some existence theorems are proved for the solutions of the finite-part singular integral equations, approximated by several systems of linear algebraic equations. The method is further extended for the proof of the existence of solutions for systems of finite-part singular integral equations defined on Hilbert spaces, when their singularity consists of a system of diffeomorphisms of the integration interval, which is a unit circle, on itself.…”
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Bosonic sectorized strings and the (DF)2 theory by Thales Azevedo, Renann Lipinski Jusinskas, Matheus Lize

“…We also consider an extension of the bosonic model with current algebras. In that case, we compute the effective action and show that it is essentially the same as the action of the mass-deformed (DF )2 theory found by Johansson and Nohle. …”
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THE EFFICIENT USE OF HUMAN RESOURCES IN RUSSIA IN CONDITIONS OF CATCHING-UP DEVELOPMENT by G. Ryazanova, P. Tolkachev

“…On the basis of empirical data, the trends of productivity growth in comparison with the growth of other macroeconomic indicators algebraically and graphically have been shown. It has been concluded, that the development of human resources is necessary, since low productivity is a brake on the economic growth of the country in the conditions of catching-up development.…”
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Numerical Solution of Duffing Equation by Using an Improved Taylor Matrix Method by Berna Bülbül, Mehmet Sezer

“…Duffing equation and conditions are transformed into the matrix equations, which corresponds to a system of nonlinear algebraic equations with the unknown coefficients, via collocation points. …”
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Simple Matrix encryption scheme with variable ciphertext length by Zhong WANG, Yiliang HAN

“…Multivariable public key cryptography is one of the reliable candidates for anti-quantum cryptography.The Simple Matrix scheme is constructed using the operations between three matrices.An improved version of the Simple Matrix scheme was proposed.It is constructed by using two flat matrices with random quadratic polynomials,so that the rank attacks is infeasible for the new scheme,and the algebraic attacks breaks the system is at least as hard as solving a set of random quadratic equations.The new scheme will improve the proportion of ciphertext and plaintext to 2 times or more,break the fixed proportion of ciphertext and plaintext,so that it has a flexible proportion to adapt to different needs.…”
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Couple of the Variational Iteration Method and Legendre Wavelets for Nonlinear Partial Differential Equations by Fukang Yin, Junqiang Song, Xiaoqun Cao, Fengshun Lu

“…The main advantage of the new method is that it can avoid solving the nonlinear algebraic system and symbolic computation. Furthermore, the developed vector-matrix form makes it computationally efficient. …”
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On Hyperbolic 3-Manifolds Obtained by Dehn Surgery on Links by Soo Hwan Kim, Yangkok Kim

“…We study the algebraic and geometric structures for closed orientable 3-manifolds obtained by Dehn surgery along the family of hyperbolic links with certain surgery coefficients and moreover, the geometric presentations of the fundamental group of these manifolds. …”
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The Generalized Hermite Spectral Method Combined with Laplace Transform for Solution of the Time Fractional Fokker–Planck Equation by Lu-feng Yang

“…By the Laplace transform, the ordinary differential equation about the orthogonal expansion coefficient is transformed into a linear algebraic equation system, with the coefficient matrix being a tridiagonal lower triangular matrix. …”
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Consensus of High-Order Nonlinear Multiagent Systems with Constrained Switching Topologies by Junwei Wang, Kairui Chen, Yun Zhang

“…A multistep algorithm for designing consensus protocol is then developed by solving the Lyapunov equation and algebraic Riccati equation. Finally, simulation examples are delineated to substantiate the effectiveness of the proposed algorithms.…”
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Computing Coherence Vectors and Correlation Matrices with Application to Quantum Discord Quantification by Jonas Maziero

“…Notwithstanding, as we demonstrate in this paper, some algebraic manipulations before programming can reduce considerably their computational complexity. …”
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Design of a Dynamic Simulator for a Biped Robot by Diego A. Bravo M, Carlos F. Rengifo Rodas

“…The intermittent nature of these forces and the mathematical inequalities that they must satisfy lead to models described by hybrid algebraic differential equations. In this paper, a simulator was developed for a seven degrees of freedom planar biped robot, which was modeled using the Euler-Lagrange formulation. …”
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On q-Rung Orthopair Fuzzy Subgroups by Asima Razzaque, Abdul Razaq

“…In this work, we characterize the idea of a q-rung orthopair fuzzy subgroup and examine various algebraic attributes of this newly defined notion. …”
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Mathematical Formulation of Soft-Contact Problems for Various Rheological Models of Damper by Wiesław Grzesikiewicz, Artur Zbiciak

“…The main finding of the paper is a method of description of soft-contact phenomenon between rigid object and deformable rheological structure by the system of explicit nonlinear differential-algebraic equations easy for numerical implementation. …”
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Unique Generators for Cyclic Codes of Arbitrary Length over Fpmu/u3 and Their Applications by Hongju Li, Ping Yu, Jing Liang, Feng Zhao

“…Cyclic codes play a very important role in the history of coding theory since they have good algebraic structures that can be widely used in coding and decoding. …”
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Operations on Soft Sets Revisited by Ping Zhu, Qiaoyan Wen

“…In this paper, we redefine the intersection, complement, and difference of soft sets and investigate the algebraic properties of these operations along with a known union operation. …”
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Fast Hankel Transforms Algorithm Based on Kernel Function Interpolation with Exponential Functions by Huaiqing Zhang, Yu Chen, Xin Nie

“…The improved method maintains the merit of Pravin method which can convert the Hankel integral to algebraic calculation. The simulation results reveal that the improved method has high precision, high efficiency, and good adaptability to kernel function. …”
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Integral Inequalities of Integer and Fractional Orders for n–Polynomial Harmonically tgs–Convex Functions and Their Applications by Artion Kashuri, Soubhagya Kumar Sahoo, Bibhakar Kodamasingh, Muhammad Tariq, Ahmed A. Hamoud, Homan Emadifar, Faraidun K. Hamasalh, Nedal M. Mohammed, Masoumeh Khademi

“…The main objective of this article is to introduce the notion of n–polynomial harmonically tgs–convex function and study its algebraic properties. First, we use this notion to present new variants of the Hermite–Hadamard type inequality and related integral inequalities, as well as their fractional analogues. …”
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Optimal Tracking Performance of MIMO Discrete-Time Systems with Network Parameters by Chao-Yang Chen, Weihua Gui, Zhi-Hong Guan, Shaowu Zhou, Cailun Huang

“…The best attainable regulation performance limitations can be obtained by the limiting steady state solution of the corresponding algebraic Riccati equation (ARE). The simulation results are given to demonstrate the main results of the theoretical development.…”
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