Entanglement wedge reconstruction using the Petz map by Chi-Fang Chen, Geoffrey Penington, Grant Salton

“…From a quantum information perspective, we prove a general theorem extending the use of the Petz map as a general-purpose recovery channel to subsystem and operator algebra quantum error correction.…”
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Characterizing absolutely irreducible integer-valued polynomials over discrete valuation domains by Hiebler, Moritz, Nakato, Sarah, Roswitha,Rissner

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Computation of Graph Fourier Transform Centrality Using Graph Filter by Chien-Cheng Tseng, Su-Ling Lee

“…To reduce the computational complexity of GFTC, a linear algebra method based on Frobenius norm of error matrix is applied to convert the spectral-domain GFTC computation task to vertex-domain one such that GFTC can be computed by using polynomial graph filtering method. …”
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Symplectic quantization and general constraint structure of a prototypical second-class system by Ignacio S. Gomez, Vipul Kumar Pandey, Ronaldo Thibes

“…We apply the Dirac–Bergmann algorithm in its full generality unraveling a total of 4m second-class constraints and obtain the corresponding Dirac brackets algebra in phase space. We follow with the Faddeev–Jackiw–Barcelos–Wotzasek approach in which the geometric character of the mentioned submanifold is emphasized by means of an internal metric function encoding its symplectic properties. …”
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Computation of symmetries of rational surfaces by Juan Gerardo Alcázar, Carlos Hermoso, Hüsnü Anıl Çoban, Uğur Gözütok

“…The algorithms have been implemented in the computer algebra system Maple, and the implementations have been made public. …”
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A Novel Approach Based on Sine Trigonometric Picture Fuzzy Aggregation Operators and Their Application in Decision Support System by Saleem Abdullah, Saifullah Khan, Muhammad Qiyas, Ronnason Chinram

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Pythagorean m-Polar Fuzzy Weighted Aggregation Operators and Algorithm for the Investment Strategic Decision Making by Muhammad Riaz, Khalid Naeem, Ronnason Chinram, Aiyared Iampan

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Research on the Disease Intelligent Diagnosis Model Based on Linguistic Truth-Valued Concept Lattice by Li Yang, Yuhui Wang, Haixia Li

“…The theoretical bases of this model are the classical concept lattice and the lattice implication algebra with natural language. The model includes the case library formed by patients, attributes matching, and the matching degree calculation about the new patient. …”
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On novel security systems based on the 2-cyclic refined integers and the foundations of 2-cyclic refined number theory by Mohammad Abobala, Hasan Sankari, Mohamed Zeina

“…Also, this work presents two novel crypto schemes for the encryption and decryption of data and information based on the algebraic properties of 2-cyclic refined integers, where improved versions of the El-Gamal crypto-scheme and RSA algorithm will be established through the view of the algebra and number theory of 2-cyclic refined integers. …”
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A Mathematical Model for a Transmissible Disease with a Variant by A. Otto, M. Amidou

“…We determined the four equilibria of the system of ordinary differential equations representing the model and characterized their existence using exact methods of algebraic geometry and computer algebra. The model is studied using the stability theory for systems of differential equations and the basic reproduction number R0. …”
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Symmetry analysis, dynamical behavior, and conservation laws of the dual-mode nonlinear fluid model by Adil Jhangeer, Beenish, Lubomír Říha

“…Lie symmetry analysis is applied to find symmetry generators, which in turn describe translation symmetries and abelian algebra. Lie theory converts the equation into a nonlinear ordinary differential equation using similarity variables. …”
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The Union between Structural and Practical Identifiability Makes Strength in Reducing Oncological Model Complexity: A Case Study by Maria Pia Saccomani, Karl Thomaseth

“…It is implementable by using available differential algebra software and statistical packages. This methodology can constitute a powerful tool for the oncologist to discover the behavior of inaccessible variables of clinical interest and to correctly address the experimental design. …”
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Synergetic Control of Grid-Connected Photovoltaic Systems by Junjie Qian, Kaiting Li, Huaren Wu, Jianfei Yang, Xiaohui Li

“…Modeling of a grid-connected PV system is described, and differential-algebra equations are obtained. Two control strategies are used in normal operation and during LVRT of a PV system. …”
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Performance Analysis and Dimensional Multi-objective Optimization for an Asymmetry 2UPS-UP Parallel Mechanism by Jian Yi, Linxian Che, Bing He, Jie Li

“…With the aid of the singularity of speed Jacobian matrix， the possible singular configurations of the mechanism are analyzed. Screw algebra is used as a mathematic tool to give the evaluation indices for motion and force transmission performances of the mechanism. …”
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Automatic Analysis of Complex Interactions in Microservice Systems by Fei Dai, Hao Chen, Zhenping Qiang, Zhihong Liang, Bi Huang, Leiguang Wang

“…Third, we propose an encoding of LTSs into the CSP# process algebra for automatic verification of the property interaction soundness. …”
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Application of first-order logic to identify organizers and perpetrators of illegal actions in teams of a limited circle of people by A. М. Sobol, E. I. Kozlova, Yu. A. Chernyavsky

“…This expression is converted into a conjunctive normal formula using the laws of Boolean algebra and is proved by the elimination of events using the conjunction operation.…”
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Solving Integral Equations by Means of Fixed Point Theory by E. Karapinar, A. Fulga, N. Shahzad, A. F. Roldán López de Hierro

“…Naturally, this problem has occupied the minds of mathematicians since the dawn of algebra. There are hundreds of techniques for solving many classes of equations, facing the problem of finding solutions and studying whether such solutions are unique or multiple. …”
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Effective dimensionality of space-time in f(R)-general relativity with quantum boundary terms included by Mauricio Bellini

“…To do it we use a modified nonlinear quantum algebra recently introduced. The quantum field perturbations of space-time also alter the geodesic equations that describe the dynamics of the relativistic velocities, the metric tensor and the Ricci tensor. …”
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Universal flops of length 1 and 2 from D2-branes at surface singularities by Marina Moleti, Roberto Valandro

“…The geometry of the total space X of such a family can be encoded in a scalar field Φ, which lives in the corresponding ADE algebra and depends on the deformation parameters. …”
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