On Robust Stability for Hurwitz Polynomials via Recurrence Relations and Linear Combinations of Orthogonal Polynomials by Alejandro Arceo, Héctor F. Flores, Lino G. Garza, Luis E. Garza, Gerardo Romero

“…These sequences are constructed by using properties of orthogonal polynomials, such as the well-known three-term recurrence relation, as well as by considering linear combinations of two orthogonal polynomials with consecutive degree. …”
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Analytical Techniques for a Numerical Solution of the Linear Volterra Integral Equation of the Second Kind by M. I. Berenguer, D. Gámez, A. I. Garralda-Guillem, M. Ruiz Galán, M. C. Serrano Pérez

“…In this work we use analytical tools—Schauder bases and Geometric Series theorem—in order to develop a new method for the numerical resolution of the linear Volterra integral equation of the second kind.…”
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Numerical optimization by the PFEMCT-SIF method of the crack propagation of a linear elastic material by Mohammed Bentahar, Noureddine Mahmoudi, Youcef Moulai Arbi

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Improving Results on Solvability of a Class of nth-Order Linear Boundary Value Problems by Pedro Almenar, Lucas Jódar

“…This paper presents a modification of a recursive method described in a previous paper of the authors, which yields necessary and sufficient conditions for the existence of solutions of a class of nth-order linear boundary value problems, in the form of integral inequalities. …”
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Recursive Linear Estimation for Discrete-Time Systems in the Presence of Different Multiplicative Observation Noises by C. Sánchez-González, T. M. García-Muñoz

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Optimization Tools for the Design of Meta-Covers for Linear Antenna with Beam- and Null-Steering Capabilities by Michela Longhi, Stefano Vellucci, Mirko Barbuto, Alessio Monti, Filiberto Bilotti, Alessandro Toscano

“…This paper investigates the optimization of cylindrical metasurface meta-covers designed to enable beamforming capabilities in single linear antennas. This study focuses on the development and application of advanced optimization tools to tailor the electromagnetic response of these metasurfaces, enabling precise control over the radiation patterns of the antenna. …”
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Integrating representation learning, permutation, and optimization to detect lineage-related gene expression patterns by Hannah M. Schlüter, Caroline Uhler

“…Abstract Recent barcoding technologies allow reconstructing lineage trees while capturing paired single-cell RNA-sequencing (scRNA-seq) data. …”
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The old Babylonian algorithm: reborn with a bang and its application in non-linear vibration by Liangyuan Zhang

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Exponential Stability of Linear Discrete Systems with Variable Delays via Lyapunov Second Method by Josef Diblík

“…The paper investigates the exponential stability of a linear system of difference equations with variable delays xk+1=Axk+∑i=1sBikxk-mik, k=0,1,… , where s∈N, A is a constant square matrix, Bik are square matrices, mik∈N∪0, and mik≤m for an m∈N. …”
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Existence of Nontrivial Solutions for Unilaterally Asymptotically Linear Three-Point Boundary Value Problems by Hongyu Li

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State Estimation for Fractional-Order Complex Dynamical Networks with Linear Fractional Parametric Uncertainty by Hongjie Li

“…The parametric uncertainty is assumed to be of linear fractional form. Firstly, based on the properties of Kronecker product and the stability of fractional-order system, a sufficient condition is derived for robust asymptotic stability of linear fractional-order augmented system. …”
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Novel Method for Optimal Synthesis of 5G Millimeter Wave Linear Antenna Array by Zarko Rosic, Olivera Mihic, Danijela Aleksic, Dejan Drajic

“…We will propose a useful method for 5G mm wave antenna array synthesis, based on Genetic Algorithm for the synthesis of linear array with nonuniform interelement spacing. …”
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Monte Carlo Simulation of Linear Polymer Thermal Depolymerization under Isothermal and Dynamic Modes by Elena V. Bystritskaya, Oleg N. Karpukhin, Alla V. Kutsenova

“…Kinetics of linear polymer thermal depolymerization under isothermal and dynamic TGA modes was simulated by the Monte Carlo method. …”
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Uncertainty Quantification and Sensitivity Analysis of Concrete Structure Using Multi-Linear Regression Technique by Abdelhamid Hebbouche, Salim Bennoud, Ayoub Zeroual

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Verifiable computation scheme of batch matrix multiplication based on triple perturbation and linear combination by ZHANG Tianpeng, REN Zhiyu, DU Xuehui, WANG Haichao

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Professionally oriented aspect of studying the branch "linear algebra" in training economic profile specialists by Irina N. Pavlova, Natalya V. Spiridonova

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Secondary throughput maximization scheme for non-linear energy harvesting cognitive radio networks by Haijiang GE, Ning JIA, Kaikai CHI, Yunzhi CHEN

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Existence and Stability for the 3D Linearized Constant-Coefficient Incompressible Current-Vortex Sheets by Davide Catania

“…We prove the existence of a unique solution to the constant-coefficient linearized problem and an a priori estimate with no loss of derivatives. …”
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Design and Fabrication of Orthokeratology Lens with Multi-Linear and Spherical Aberration Corrected for Myopia Control by Zhengwang Li, Ruijin Hong, Dawei Zhang

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Study on Stochastic Linear Quadratic Optimal Control with Quadratic and Mixed Terminal State Constraints by Yang Hongli

“…It coincides with the indefinite stochastic LQ problem with linear terminal state constraint, so the result given in this paper can be viewed as the extension of the indefinite stochastic LQ problem with the linear terminal state equality constraint. …”
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