Least Absolute Deviation Estimate for Functional Coefficient Partially Linear Regression Models by Yanqin Feng, Guoxin Zuo, Li Liu

“…The functional coefficient partially linear regression model is a useful generalization of the nonparametric model, partial linear model, and varying coefficient model. …”
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Boundary Value Problem of Nonlinear Hybrid Differential Equations with Linear and Nonlinear Perturbations by Said Melliani, Abdelati El Allaoui, Lalla Saadia Chadli

“…The aim of this paper is to study a boundary value problem of the hybrid differential equation with linear and nonlinear perturbations. It generalizes the existing problem of second type. …”
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Vibration Control of Linear Split Stirling Cryogenic Cooler for Airborne Infrared Application by A.M. Veprik, V.I. Babitsky, N. Pundak, S.V. Riabzev

“…Modern infrared imagers often rely on the split Stirling cryogenic coolers the linear compressors of which are the well-known sources of harmonic disturbance. …”
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Regularized Multiframe Super-Resolution Image Reconstruction Using Linear and Nonlinear Filters by Mahmoud M. Khattab, Akram M. Zeki, Ali A. Alwan, Belgacem Bouallegue, Safaa S. Matter, Abdelmoty M. Ahmed

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Nonlinear Triangular Intuitionistic Fuzzy Number and Its Application in Linear Integral Equation by Sankar Prasad Mondal, Adrijit Goswami, Sujit Kumar De

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Dirac equation solution in the light front via linear algebra and its particularities by Jorge Henrique de Oliveira Sales, Gabriel de Oliveira Aragão, Diego Ramos do Nascimento, Ronaldo Thibes

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An Optimally Generalized Steepest-Descent Algorithm for Solving Ill-Posed Linear Systems by Chein-Shan Liu

“…An optimal iterative algorithm with m-vector descent direction in a Krylov subspace is constructed, of which the m optimal weighting parameters are solved in closed-form to accelerate the convergence speed in solving ill-posed linear problems. The optimally generalized steepest-descent algorithm (OGSDA) is proven to be convergent with very fast convergence speed, accurate and robust against noisy disturbance, which is confirmed by numerical tests of some well-known ill-posed linear problems and linear inverse problems.…”
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Medical image segmentation based on frequency domain decomposition SVD linear attention by Liu Qiong, Li Chaofan, Teng Jinnan, Chen Liping, Song Jianxiang

“…During attention feature computation, we introduce Singular Value Decomposition (SVD) to extract an effective representation matrix from the original image, which is then applied in the attention computation process for linear projection. This method reduces computational complexity while preserving essential features. …”
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Approximation Technique for Solving Linear Volterra Integro-Differential Equations with Boundary Conditions by Mohamed E. A. Alnair, Ahmed A. Khidir

“…This paper presents a new technique for solving linear Volterra integro-differential equations with boundary conditions. …”
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Iterative GA Optimization Scheme for Synthesis of Radiation Pattern of Linear Array Antenna by Sarayoot Todnatee, Chuwong Phongcharoenpanich

“…This research has proposed the iterative genetic algorithm (GA) optimization scheme to synthesize the radiation pattern of an aperiodic (nonuniform) linear array antenna. The aim of the iterative optimization is to achieve a radiation pattern with a side lobe level (SLL) of ≤−20 dB. …”
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Automatization of proof-search for a fragment of the first-order linear tense logic by Romas Alonderis

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Global Universality of the Two-Layer Neural Network with the k-Rectified Linear Unit by Naoya Hatano, Masahiro Ikeda, Isao Ishikawa, Yoshihiro Sawano

“…This paper concerns the universality of the two-layer neural network with the k-rectified linear unit activation function with k=1,2,… with a suitable norm without any restriction on the shape of the domain in the real line. …”
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A Modified Wolf Pack Algorithm for Multiconstrained Sparse Linear Array Synthesis by Ting Wang, Ke-Wen Xia, Hai-Lin Tang, Su-Wei Zhang, Mukase Sandrine

“…The aim of the research is to propose a new optimization method for the multiconstrained optimization of sparse linear arrays (including the constraints of the number of elements, the aperture of arrays, and the minimum distance between adjacent elements). …”
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Antibacterial and Antifungal Activities of Linear and Cyclic Peptides Containing Arginine, Tryptophan, and Diphenylalanine by David Salehi, Eman H. M. Mohammed, Naiera M. Helmy, Keykavous Parang

“…</b> Herein, we report antibacterial and antifungal activities of five linear peptides, namely ((DipR)₄(WR)), ((DipR)₃(WR)₂), ((DipR)₂(WR)₃), ((DipR)(WR)₄), and (DipR)₄R, and five cyclic peptides [(DipR)₄(WR)], [(DipR)₃(WR)₂], [(DipR)₂(WR)₃], [(DipR)(WR)₄], and [DipR]₅, containing alternate positively charged R and hydrophobic W and Dip residues against fungal, Gram-positive, and Gram-negative bacterial pathogens. …”
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FIR to FIR Model Reduction with Linear Group Delay in Passband by SDP Optimization by Haijiang Hu, Shaojing Song, Fengdeng Zhang

“…The experiment results show this method has good performance on the magnitude error and the linear phase in passband. Therefore, this method can be used in the field of digital signal processing.…”
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Comparison Results on Preconditioned GAOR Methods for Weighted Linear Least Squares Problems by Guangbin Wang, Yanli Du, Fuping Tan

“…We present preconditioned generalized accelerated overrelaxation methods for solving weighted linear least square problems. We compare the spectral radii of the iteration matrices of the preconditioned and the original methods. …”
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Combination linear lines of position and neural network for mobile station location estimation by Chien-Sheng Chen

“…It is much easier to solve two linear line equations rather than nonlinear circular ones. …”
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A Generalization of Linear and Nonlinear Retarded Integral Inequalities in Two Independent Variables by Ying Jiang, Guojing Xing, Chenghui Zhang

“…By utilizing some analysis techniques, such as amplification method, differential, and integration, several new types of linear and nonlinear retarded integral inequalities in two independent variables are provided. …”
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Linear and Nonlinear Dynamic Analyses of Sandwich Panels with Face Sheet-to-Core Debonding by Vyacheslav N. Burlayenko, Tomasz Sadowski

“…The emphasis is directed to the procedures used to elaborate linear and nonlinear models and to predict dynamic response of the sandwich panels. …”
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Some Slater's Type Inequalities for Convex Functions Defined on Linear Spaces and Applications by S. S. Dragomir

“…Some inequalities of the Slater type for convex functions defined on general linear spaces are given. Applications for norm inequalities and f-divergence measures are also provided.…”
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