Theoretical calculation and evaluation of neutron inducedreactions on Pu isotopes by Guo Hairui, Han Yinlu, Ye Tao, Sun Weili, Chen Wendi

“…The optical model, the distorted wave Born approximation theory, the Hauser-Feshbach theory, the fission model, the evaporation model, the exciton model and the intranuclear cascade model are used in the calculation, and new experimental data are taken into account. …”
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Improvement of the training system of medical and pharmaceutical specialists at medical college of Saratov State Medical University by Popkov V.M., Bugaeva I.0., Fedorova L.M., Panasenko E.M., Markova V.D., Gvozdkova O.A., Lifanova O.N.

“…All of these facts lead to the necessity of introducing into the educational process technologies of dual training as a tool of approximation theory to practice Saratov. Medical University may share the experience of introduction and organization of elements of the complex educational system in the process of realization of the programs of secondary professional education through the creation of educational-productive cluster on the bases of clinics.…”
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Capacity of the Weakly Absorbent Turbulent Ocean Channel with the Coaxial Double-Position Power Gaussian Vortex by Qingze Yan, Yun Zhu, Yixin Zhang

“…Here, we study the channel capacity and bit error rate of an underwater extinction communication link with a coaxial double-position power Gaussian vortex carrier based on Rytov approximation theory. The study finds that channel capacity and bit error rate are the nonlinear functions of the dimensionless structural parameter and reach maximum and minimum values at |<i>α</i>| = 1, respectively. …”
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Free Vibrations of Functionally Graded Circular Cylindrical Shells under Internal Pressure by A. Davar, S. Mohammad Reza Khalili, H. Hadavinia

“…First order shear deformation theory based on Love's first approximation theory was utilized in the equilibrium equations. …”
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On Row Sequences of Hermite–Padé Approximation and Its Generalizations by Nattapong Bosuwan

“…Hermite&#8722;Pad&#233; approximation has been a mainstay of approximation theory since the concept was introduced by Charles Hermite in his proof of the transcendence of <i>e</i> in 1873. …”
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A new class of activation functions. Some related problems and applications by Nikolay V. Kyurkchiev

“…Some related problems are discussed, as an example to the Approximation Theory.…”
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Microscopic analysis of the^12,14Be scattering on¹²C and protons by E. V. Zemlyanaya, V. K. Lukyanov, K. V. Lukyanov, D. .. Kadrev, M. K. Gaidarov, A. N. Antonov, K. .. Spasova

“…The microscopic OP consists of the double folding real part and the imaginary part which is constructed using the high energy approximation theory. The OP depends on the nuclear density distributions of12,14Be and thus, their microscopic models are tested in our study.…”
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Solitary Wave Interactions with an External Periodic Force: The Extended Korteweg-de Vries Framework by Marcelo V. Flamarion, Efim Pelinovsky

“…Additionally, we verified that the numerical results agreed qualitatively well within the asymptotic approximation theory for external broad forces.…”
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Numerical Analysis of Ultrasonic Multiple Scattering for Fine Dust Number Density Estimation by Homin Song, Ukyong Woo, Hajin Choi

“…The generated datasets are subsequently processed using an ultrasound data processing approach to estimate the number density of fine dust particles in the air based on the independent scattering approximation theory. The data processing results demonstrate that the proposed approach can estimate the number density of fine dust particles with an average error of 43.4% in the frequency band 1–10 MHz (wavenumber × particle radius ≤ 1) at a particle volume fraction of 1%. …”
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An Overview of Some Issues in the Theory of Deep Networks by Poggio, Tomaso, Banburski, Andrzej

“…We review our contributions in the areas of approximation theory and optimization. We also introduce a new approach based on cross-validation leave-one-out stability to estimate bounds on the expected error of overparametrized classifiers, such as deep networks. © 2020 Institute of Electrical Engineers of Japan. …”
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Reciprocal-log approximation and planar PDE solvers by Nakatsukasa, Y, Trefethen, LN

“…This article is about both approximation theory and the numerical solution of partial differential equations (PDEs). …”

Solving Laplace problems with corner singularities via rational functions by Gopal, A, Trefethen, L

“…Newman in 1964 in approximation theory, we first prove that such approximations can achieve root-exponential convergence for a wide range of problems, all the way up to the corner singularities. …”

Adaptive Dynamics in Games Played by Heterogeneous Populations. by Kaniovski, Y, Kryazhimskii, A, Young, H

“…We show how to analyze the asymptotic behavior of such processes through a suitable generalization of Bendixson stability theory combined with stochastic approximation theory. (c) 2000 Academic Press…”

Design and development of autonomous biomimetic blacktip shark by Wong, Wei Loong

“…The kinematic model and kinetic model approach has been utilized to develop the theoretical model by trajectory approximation theory and beam theory for estimating the robotic fish swimming performance. …”
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Difference of Some Positive Linear Approximation Operators for Higher-Order Derivatives by Vijay Gupta, Ana Maria Acu, Hari Mohan Srivastava

“…In order to exemplify the theoretical results presented in (for example) Theorem 2, we provide the estimates of the differences between some of the most representative operators used in Approximation Theory in especially the difference between the Baskakov and the Szász–Mirakyan operators, the difference between the Baskakov and the Szász–Mirakyan–Baskakov operators, the difference of two genuine-Durrmeyer type operators, and the difference of the Durrmeyer operators and the Lupaş–Durrmeyer operators. …”
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On Ulam Stability of Functional Equations in 2-Normed Spaces—A Survey by Anna Bahyrycz, Janusz Brzdęk, El-sayed El-hady, Zbigniew Leśniak

“…It is somehow connected to various other areas of investigation such as, e.g., optimization and approximation theory. Its main issue is the error that we make when replacing functions satisfying the equation approximately with exact solutions of the equation. …”
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An overview on polynomial approximation of NP-hard problems by Paschos Vangelis Th.

“…The polynomial approximation theory deals with the study of such algorithms. …”
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Semi-Analytical Solutions for Some Types of Nonlinear Fractional-Order Differential Equations Based on Third-Kind Chebyshev Polynomials by Adel Abd Elaziz El-Sayed, Salah Boulaaras, Mohammed AbaOud

“…The created matrices are used in the context of approximation theory to solve the stated problem. The fundamental advantage of this method is that it converts the nonlinear fractional-order problem into a system of algebraic equations that can be numerically solved. …”
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Numerical Modeling of Thermocapillary Deformation and Film Breakdown in a Locally Heated Thin Horizontal Volatile Liquid Layer by Barakhovskaya Ella, Marchuk Igor

“…The lubrication approximation theory is used. Capillary pressure, viscosity and gravity are taken into account. …”
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The Fuzzy Width Theory in the Finite-Dimensional Space and Sobolev Space by Yanyan Xu, Lu Sun, Hao Li, Guanggui Chen

“…This paper aims to fuzzify the width problem of classical approximation theory. New concepts of fuzzy Kolmogorov <i>n</i>-width and fuzzy linear <i>n</i>-width are introduced on the basis of <inline-formula><math xmlns="http://www.w3.org/1998/Math/MathML" display="inline"><semantics><mi>α</mi></semantics></math></inline-formula>-fuzzy distance which is induced by the fuzzy norm. …”
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