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

“…The special procedure for the formation of reference values for a set of signals from telecommunication and radioelectronic systems (STR) has been developed based of the proposed library of auxiliary functions, which provides simplicity, ease of use and significantly expands the possibilities of signal modeling. …”
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STATISTICAL PROCESSING OF THE METEOROLOGICAL DATA FOR CONCLUSION ON THE PRESENCE OF THE TIME TRENDS by V. S. Mukha

“…The average yearly atmospheric temperature received from the measurements is approximated by the least square error method in the linear time dependence regression function. The linear time dependence regression function received in such a way has some positive growing (positive trend). …”
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Тotal probability formula for vector Gaussian distributions by V. S. Mukha, N. F. Kako

“…The total probability formula for continuous random variables is the integral of product of two probability density functions that defines the unconditional probability density function from the conditional one. …”
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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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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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Polynomials—Unifying or Fragmenting High School Mathematics? by Jelena Pleština, Željka Milin Šipuš, Matija Bašić

“…In relation to other curricular content the knowledge about polynomials has two-fold importance: (1) contributing to the development of various techniques related to high school algebra and calculus; (2) serving as a fundamental example in the formation of the notion of a function. …”
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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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RESEARCH OF INTERACTIONS BETWEEN SHEAR FRACTURES ON THE BASIS OF APPROXIMATE ANALYTICAL ELASTIC SOLUTIONS by Anastasia S. Lermontova, Yuri L. Rebetsky

“…A large amount of computation is required to yield a numerical solution for a case considering arbitrary numbers and locations of fractures, while this problem has important practical applications, such as assessment of the state of stress in seismically active regions, forecasts of secondary destruction impacts near systems of large faults, studies of reservoir properties of the territories comprising oil and gas provinces.In this study, an approximate estimation is obtained with the following simplification assumptions: (1) functions showing shear of fractures’ borders are determined similar to the shear function for a single fracture, and (2) boundary conditions for the fractures are specified in the integrated form as mean values along each fracture. …”
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Born-Oppenheimer renormalization group for high energy scattering: CSS, DGLAP and all that by Haowu Duan, Alex Kovner, Michael Lublinsky

“…Abstract In [1], we have introduced the Born-Oppenheimer (BO) renormalization group approach to high energy hadronic collisions and derived the BO approximation for the light cone wave function of a fast moving projectile hadron. In this second paper, we utilize this wave function to derive the BO evolution of partonic distributions in the hadron — the gluon transverse momentum and integrated parton distributions (TMD and PDF respectively). …”
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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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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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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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Modeling and computational study of cancer treatment with radiotherapy using real data. by Parvaiz Ahmad Naik, Muhammad Farman, Saba Jamil, Muhammad Umer Saleem, Kottakkaran Sooppy Nisar, Zhengxin Huang

“…Using the linear growth theory, the existence of a unique solution has been derived under the FFM. …”
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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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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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Adaptive neighbourhood for locally and globally tuned biogeography based optimization algorithm by Parimal Kumar Giri, Sagar S. De, Satchidananda Dehuri

“…Biogeography Based Optimization (BBO) is a population based metaheuristic algorithm using the idea of migration and mutation operation of species for solving complex optimization problems. BBO has demonstrated good performance on various unconstrained and constrained benchmark 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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Fragmentation of Modern Artistic Narrative (English-Language Prose) by G. I. Lushnikova, T. Yu. Osadchaya

“…The novelty of the research is seen in the fact that the fragmentation of a literary text is studied at different levels — compositional, content-thematic, plot, ideological-figurative, genre, narrative, chronotopic. It has been proved that the forms of implementation of fragmentariness are quite diverse: irregular division of the text, heterogeneity of themes and ideas, lack of linear development of the plot, combination of elements of different genres, the presence of internal polystylism, the use of different types of narration and narrator, violation of the unity of the chronotope. …”
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Reverse convection potential saturation during northward IMF by V. Wilder, C. R. Clauer, J. B. H. Baker

“…Results show that the reverse convection cells do, in fact, exhibit non‐linear saturation behavior. The saturation potential is approximately 20 kV and is achieved when the electric coupling function reaches between 18 and 30 kV/RE.…”
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The use of shadow prices in capital rationing problem by B BAALOUDJ

“…This method of transferring funds has two advantages, an increase in the objective function without using external resources. …”
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