Routes to Multiple Equilibria for Mass-Action Kinetic Systems by Antonio A. Alonso, Irene Otero-Muras, Manuel Pájaro

“…We provide an explicit representation of the set of all positive equilibria attained by the system class in terms of a set of (positive parameter dependent) algebraic relations. With this in hand, we prove that deficiency-one networks can only admit multiple equilibria via folding of the equilibrium manifold, whereas a bifurcation leading to multiple branches is only possible in networks with deficiencies larger than one. …”
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On the Inverse EEG Problem for a 1D Current Distribution by George Dassios, George Fragoyiannis, Konstantia Satrazemi

“…It is shown that the support is identified through the solution of a nonlinear algebraic system which is investigated thoroughly. …”
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Study on Angular Free Vibration Stability and Parameters Influence of Dry Gas Seal Based on the Characteristic Equation by Liming Teng, Jinbo Jiang, Xudong Peng, Jiyun Li, Simin Zheng

“…Based on Laplace transform and Hurwitz stability criterion, the system characteristic equation and algebraic stability criterion of the two degree-of-freedom angular free vibration of dry gas seal are derived. …”
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Exploring homotopy with hyperspherical tracking to find complex roots with application to electrical circuits by Sandoval-Hernandez Mario A., Jimenez-Islas Hugo, Vazquez-Leal Hector, Quemada-Villagómez Miriam L., Lopez-Gonzalez María de la Luz

“…In the field of applied sciences, systems are frequently modeled using mathematical frameworks that include systems of nonlinear algebraic equations. Identifying their roots, whether real or complex, is of critical importance. …”
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Damage Identification in Bars with a Wave Propagation Approach and a Hybrid Optimization Method by R.A. Tenenbaum, K.M. Fernandes, L.T. Stutz, A.J. Silva Neto

“…Finally, an experimental validation of the sequential algebraic algorithm, used for modeling the direct problem, is presented.…”
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Spin cobordism and the gauge group of type I/heterotic string theory by Christian Kneißl

“…The computation utilizes several established tools from algebraic topology, the focus here is on two spectral sequences. …”
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Model of Close Packing for Determination of the Major Characteristics of the Liquid Dispersions Components by Kiril Hristov Kolikov, Dimo Donchev Hristozov, Radka Paskova Koleva, Georgi Aleksandrov Krustev

“…We also describe an easy manner to apply algebraic method for determining the average volumetric mass densities of the ultimate sediment and emergent, as well as the free dispersion medium (without using any pycnometers or densitometers). …”
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On some properties of Banach operators by A. B. Thaheem, AbdulRahim Khan

“…We also obtain some commutativity results for a pair of bounded linear multiplicative Banach operators on normed algebras.…”
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Inverse neutrosophic mixed graphs by Thempaavai Jayaprakash, Antony Cripsin Sweety Charles Selvaraj

“…Furthermore, some fundamental functions and algebraic characteristics of INMG are examined to attain a profound insight into the properties and applications. …”
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One-Step Leapfrog LOD-BOR-FDTD Algorithm with CPML Implementation by Yi-Gang Wang, Yun Yi, Bin Chen, Hai-Lin Chen, Kang Luo, Run Xiong

“…The equations of the proposed algorithm are obtained by the algebraic manipulation of those used in the conventional LOD-BOR-FDTD algorithm. …”
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Space-Time Fractional Diffusion-Advection Equation with Caputo Derivative by José Francisco Gómez Aguilar, Margarita Miranda Hernández

“…In the temporal case we show that the concentration has amplitude which exhibits an algebraic decay at asymptotically large times and also shows numerical simulations where both derivatives are taken in simultaneous form. …”
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Multi attribute decision-making algorithms using Hamacher Choquet-integral operators with complex intuitionistic fuzzy information by Tehreem, Harish Garg, Kinza Ayaz, Walid Emam

“…In 1978, Hamacher introduced the Hamacher t-norm and t-conorm, an expanded version of algebraic t-norms. In this article, we present the aggregation operators for the Choquet integral that utilize the Hamacher t-norms to handle the theory of complex intuitionistic fuzzy values. …”
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Torus knots and generalized Schröder paths by Marko Stošić, Piotr Sułkowski

“…Furthermore, we determine corresponding A-polynomials, which provide algebraic equations and recursion relations for generating functions of generalized Schröder paths. …”
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Numerical method for solving the subdiffusion differential equation with nonlocal boundary conditions by Murat A. Sultanov, Vladimir E. Misilov, Makhmud A. Sadybekov

“…The Thomas algorithm was used to solve systems of linear algebraic equations. Numerical experiments were conducted to study the constructed algorithm. …”
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Stability and Bifurcation Analysis of a Discrete Singular Bioeconomic System by Qamar Din, A. M. Yousef, A. A. Elsadany

“…Firstly, we establish a discrete singular bioeconomic system, which is based on the discretization of a system of differential algebraic equations. It is shown that the discretized system exhibits much richer dynamical behaviors than its corresponding continuous counterpart. …”
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Solving Fractional Generalized Fisher–Kolmogorov–Petrovsky–Piskunov’s Equation Using Compact-Finite Different Methods Together with Spectral Collocation Algorithms by Maged Z. Youssef, M. M. Khader, Ibrahim Al-Dayel, W. E. Ahmed

“…The presented approach helps us to transform the studied problem into a simple system of algebraic equations that can be easily resolved. Some theoretical studies are provided with their evidence to analyze the convergence and stability analysis of the presented algorithm. …”
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Couple-Group Consensus: A Class of Delayed Heterogeneous Multiagent Systems in Competitive Networks by Lianghao Ji, Yue Zhang, Yiliu Jiang

“…Furthermore, without the restrictive assumptions existing commonly in the related works, several sufficient algebraic criteria are established for the heterogeneous systems to realize couple-group consensus asymptotically. …”
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Research on Parameter Sensitivity of Reasoning Formula Based on Error Principle by ZHOU Bin

“…The relative error propagation equation of the first-order algebraic precision of eachoriginal parameter can be obtained by expanding the basic equation of reasoning formula with thefirst-order Taylor formula of multivariate function. …”
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Differentiable Few-view CT-Reconstruction for Arbitrary CT-Trajectories including Prior Knowledge by Linda-Sophie Schneider, Adrian Waldyra, Yipeng Sun, Andreas K. Maier

“…First, the Discrete Algebraic Reconstruction Technique generates a binary volume that provides robust prior information about the object’s structure. …”
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On a Matrix over NC and Multiset NC Semigroups by Mohammed A. Saleem, Mohamed Abdalla, A. Elrawy

“…Then, the study of the algebraic structure of matrices over NC under addition modulo 1, the usual product, and product by using addition modulo 1 was introduced, from which it was found that the matrix over NC built using interval 0,1 happens to be an abelian group under addition modulo 1. …”
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