Expanding the Possibilities of Modeling Signals of Telecommunications and Radioelectronics Systems by V. A. Ilyinkov, Y. S. Maisiyevich

“…The unified algorithm for mathematical modeling of linear distortions of the STR signals has been developed. …”
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On Some Overdetermined Systems of Three Differential Equations in Second-Order Partial Derivatives by R. Pirov

“…This paper considers carefully a linear system of differential equations in partial derivatives from the deformable solid body mechanics and a class of systems of three equations including three second-order derivatives of one unknown function on the right-hand side in a non-linear manner. …”
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On regularization of a summary equation with holomorphic coefficients by F.N. Garifyanov, E.V. Strezhneva

“…Let D be a triangle with boundary Γ = ∂D. A six-element linear summary equation in the class of functions that are holomorphic outside D and vanish at infinity is considered. …”
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O Stosowalności Analogii Sprężystej w Zakresie Nieliniowej Geometrycznie Teorii Pełzania Membran Kołowych by Z. Bychawski

“…For problems of nonlinear creep with linear geometric relations, an elastic analogue has been given by Hoff. …”
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Design and implementation of a low-power position monitoring and control system for on-orbit focusing. by Leijie Jiang, Keyu Guo, Xin Liu, Zhenzhong Zhang

“…By using the linear encoder to provide feedback on the current focal length, both open-loop and closed-loop focusing functions are achieved. …”
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Exponentially Fitted Element-Free Galerkin Approach for Nonlinear Singularly Perturbed Problems by Jagbir Kaur, Vivek Sangwan

“…Since a lot of weight functions exist in the literature which plays a crucial role in the moving least square (MLS) approximations for generating the shape functions and hence affect the accuracy of the numerical solution, in the present work, due emphasis has been given to propose a robust weight function for the element-free Galerkin scheme for SPP. …”
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The integrable Bullough-Dodd model under celestial holography by Minjia Wang, Wei Fan

“…Interestingly, this linear space has a subspace that happens to cover the celestial bootstrap of the Sinh-Gordon model studied by arXiv:2209.02776 . …”
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CLIMATE FACTOR CONSIDERATION DURING ENERGY SAVING POTENTIAL ESTIMATION AT THE LEVEL OF INDIVIDUAL COUNTRIES AND REGIONS by N. A. Kislenko, Yu. S. Kopylova

“…The nonlinearity of dependences has been modelled by power functions, and the inertia effect by averaging data for the previous few months. …”
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Sportorthopädie by Stroehlein JK, van den Bongard F, Barthel T, Reinsberger C

“…Background: There is some evidence that regular physical activity has protective effects on cognitive functions in elderly people. …”
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A variational method to study the Zakharov equation by Arun Kumar

“…A variational method given by Ritz has been applied to the Zakharov equation to construct an analytical solution. …”
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Financial Development and Energy Transition: A Literature Review by Shunan Fan, Yuhuan Zhao, Sumin Zuo

“…The understanding of financial development’s impact on energy transition has progressed from linear to nonlinear perspectives. …”
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RETHINKING TEACHERS’ PROFESSIONAL DEVELOPMENT: LESSON FROM EVALUATION IN MASTER PROGRAM OF MATHEMATICS EDUCATION by Mohamad Rif'at, Nurfadilah Siregar

“…The results of the study show that future teacher performance: (1) has less opportunity to learn than high achievers in geometry, functions, calculus, and groups with mastery of linear algebra, number theory, analytic geometry, introduction to probability, and statistics and (2) has less opportunity for those who study school mathematics in data representation, calculus compared to linear algebra, analytic geometry, introduction to calculus, calculus, probability, and statistics. …”
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Driver Clustering Based on Individual Curve Path Selection Preference by Gergo Igneczi, Tamas Dobay, Erno Horvath, Krisztian Nyilas

“…However, human drivers often deviate from the center line. It has been shown that the driver’s choice to deviate from the center line can be modeled by a linear combination of preview curvature information. …”
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Design of College English Online Teaching Platform Based on Dual-Server PEKS Framework by Hua Wang

“…The proposed dual-server PEKS search framework makes the teaching platform more secure by designing a linear homomorphic smooth projection HASH function and solves the security loopholes of traditional PEKS. …”
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Adaptive neighbourhood for locally and globally tuned biogeography based optimization algorithm by Parimal Kumar Giri, Sagar S. De, Satchidananda Dehuri

“…It has also been applied to real world optimization problems of type linear or nonlinear, nominal or ordinal as well as mixed variables. …”
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Forecasting financial time series using a low complexity recurrent neural network and evolutionary learning approach by Ajit Kumar Rout, P.K. Dash, Rajashree Dash, Ranjeeta Bisoi

“…Further several evolutionary learning methods like the Particle Swarm Optimization (PSO) and modified version of its new variant (HMRPSO), and the Differential Evolution (DE) are adopted here to find the optimal weights for the recurrent computationally efficient functional link neural network (RCEFLANN) using a combination of linear and hyperbolic tangent basis functions. …”
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NONLINEAR NYBERG CONSTRUCTION TRANSFORMS OVER ISOMORPHIC REPRESENTATIONS OF FIELDS GALOIS by A. V. Sokolov, O. N. Zhdanov

“…As a criterion of nonlinearity, we measure the distances from the component many-valued functions to the set of Vilenkin–Chrestenson functions that are considered to be the most linear. …”
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Quantitative and intelligent methods for economic forecasts (birth rate time series (Ntl)) by Katerina ZELA

“…This is the main reason that many researchers have in the focus of their research the development of methods for improving the performance of forecasts. Using only a linear or non-linear method is not enough to recognize and model all features and functions of the data. …”
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Heart Rate Variability and Autonomic Dysfunction After Stroke: Prognostic Markers for Recovery by Sara Lago, Toon T. de Beukelaar, Ilaria Casetta, Giorgio Arcara, Dante Mantini

“…In this narrative review, we address the role of both linear and non-linear HRV parameters in the context of stroke, highlighting their relevance for understanding autonomic dysfunction and guiding rehabilitation. …”
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Completion of the Kernel of the Differentiation Operator by Anatoly N. Morozov

“…In the article, it is constructively shown that jump functions and singular functions \(f\) belong to all spaces \( Y_p ^ 1 \) and \(\Lambda f = 0.\) Consequently, the space of the functions of the bounded variation \(H_1 ^ 1 \) is contained in each \( Y_p ^ 1 ,\) and the differentiation operator on \(H_1^1\) satisfies the relation \(\Lambda f = f^{\; '}.\)Also, we come to the conclusion that every function from the added part of the kernel can be logically named singular.…”
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