EVALUATION OF SUBSOIL MASSIF STABILITY TAKING INTO ACCOUNT THE IRREGULARITY OF CONSTITUENT ROCKS ON THE BASIS OF A RANDOM SIZE AND FUNCTION MODEL by M. O. Allaev

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Arbitrary Random Variables and Wiman’s Inequality by Andriy Kuryliak, Oleh Skaskiv, Andriy Bandura

“…We study the class of random entire functions given by power series, in which the coefficients are formed as the product of an arbitrary sequence of complex numbers and two sequences of random variables. …”
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The analysis of the "Theory of functions of the complex variable" test with attraction of models Russia and Birnbaum by Lidia A. Muratova

“…In work the analysis of the "Theory of Functions of a Complex Variable" test is carried out. …”
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Variability of Interpolation Errors and Mutual Enhancement of Different Interpolation Methods by Yunxia He, Mingliang Luo, Hui Yang, Leichao Bai, Zhongsheng Chen

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The Gini coefficient and discontinuity by Jens Peter Kristensen

“…This article reveals a discontinuity in the mapping from a Lorenz curve to the associated cumulative distribution function. The problem is of a mathematical nature—based on an analysis of the transformation between the distribution function of a bound random variable and its Lorenz curve. …”
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Investigating fluctuation varieties in the propagation of the perturbed KdV equation with time-dependent perturbation coefficient by Marwan Alquran

“…By assigning various functional forms such as periodic, polynomial, and decaying exponential, to the proposed time-dependent coefficient, novel solitary wave patterns of types like-breather, regular(singular)-bell shaped, and periodic solutions are emerged with fluctuations. …”
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Full linearization of nonlinear flow control valves via variable gear ratio design by Thitipun Thongnueakhaeng, Tawat De Haas, Thananchai Leephakpreeda

“…Abstract The paper proposes the full linearization of nonlinear characteristics of flow control valves via variable gear ratio design. The inherent nonlinear function of the normalized valve capacity coefficients to the percentages of valve opening is derived from flow experiments. …”
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Variable convergence train noise active control algorithm based on feedforward reference by LI Tao, HE Yuyao, WANG Ning, LI Zhuang, SHEN Zhaoyuan, XIAO Gang

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Application of the Complex Variable Function Method to SH-Wave Scattering Around a Circular Nanoinclusion by Hongmei Wu

“…This paper focuses on analyzing SH-wave scattering around a circular nanoinclusion using the complex variable function method. The surface elasticity theory is employed in the analysis to account for the interface effect at the nanoscale. …”
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Influence of Tokar Gap wind jet on latent heat flux of Central Red Sea: empirical orthogonal function approach by Jamaan A. Turki, Abdullah M. Al-Subh, Fawaz Madah

“…The empirical orthogonal functions (EOF) analysis method was used to determine the modes of LHF variabilities. …”
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Predicting filtration coefficient and formation damage coefficient for particle flow in porous media using machine learning by Xuejia Du, George K. Wong

“…The clogging of porous media with solid particle suspension flow is modeled using two empirical parameters of filtration coefficient (λ) and formation damage coefficient (β). …”
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Estimated Glomerular Filtration Rate Variability and Incident Heart Failure in Adults With Type 2 Diabetes by Arnaud D. Kaze, MD, MPH, Chiadi E. Ndumele, MD, PhD, Bernard G. Jaar, MD, MHS, Prasanna Santhanam, MBBS, MD, Beeletsega T. Yeneneh, MD, MS, Farouk Mookadam, MD, Roderick Tung, MD, Gregg C. Fonarow, MD, Deidra C. Crews, MD, ScM, Justin B. Echouffo-Tcheugui, MD, PhD

“…Background: Variability in kidney function, as measured by estimated glomerular filtration rate (eGFR), has been proposed as a novel risk factor for adverse cardiovascular outcomes. …”
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A Case Study on the Influence of Friction Coefficient and Rotational Speed on Transient Thermoelastic Response of FGM Rotating Cylinder by Reza Koohi Faegh Dehkourdi, Mostafa Omidi Bidgoli, Mohammad Hosseini

“…The material property is assumed to be variable along radius according to a volume fraction distribution. …”
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Multi-energy storage SoC equilibrium strategy based on the variable regulating factor by CHEN Jingwen, LIU Jiaxin, ZHANG Wenqian

“…In view of the overcharge and over-discharge of individual energy storage units due to differences in the state of charge (SoC), rated capacity and line impedance of the microgrid multi-energy storage units, which will affect its service life and make the stability adjustment ability of the microgrid deteriorate, this paper proposes a multi-energy storage SoC dynamic balance strategy based on the variable regulating factor. The arccotangent function is used to associate the droop coefficient with SoC and rated capacity, and the virtual voltage drop compensation link is introduced to achieve the balance of multiple sets of energy storage SoC. …”
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A Convergent Legendre Spectral Collocation Method for the Variable-Order Fractional-Functional Optimal Control Problems by Zahra Pirouzeh, Mohammad Hadi Noori Skandari, Kameleh Nassiri Pirbazari

“…In this paper, a numerical method is applied to approximate the solution of variable-order fractional-functional optimal control problems. …”
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Distribution Formulae of the Solute in Transport of Advection-Dispersion of Air Pollution for Different Wind Velocities and Dispersion Coefficients by Frederic Ayant, Hemant Kumar, M Pathan

“…In this paper, we obtain certain distribution formulae of the solute in transport of the typical advection-dispersion of air pollution through separation in two-dimensional space variables by introducing different wind velocities and dispersion coefficients. …”
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A novel boundary meshfree method with two kinds of interpolations for spatially varying coefficient orthotropic thermal transfer by Jing Ling, Dongsheng Yang, Chengpeng Liu, Wei Gong

“…Four examples are computed including or excluding variable thermal sources. The proposed method's reliability and precision have been confirmed for thermal transfer in orthotropic media with spatially varying coefficients. …”
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Long-Term Teleconnections Between Global Circulation Patterns and Interannual Variability of Surface Air Temperature over Kingdom of Saudi Arabia by Abdullkarim K. Almaashi, Hosny M. Hasanean, Abdulhaleem H. Labban

“…The empirical orthogonal function (EOF) method is employed for analyzing SAT due to its effectiveness in extracting dominant patterns of variability during the winter (DJF) and summer (JJA) seasons. …”
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An Analytical Approximation of the Stress Function for Conical Flywheels by Miguel Garcia, Onofre Orozco-López, Jesús Uribe-Chavira, Andrés Blanco-Ortega

“…Starting from a stress function, the model was simplified under the assumption of a small-thickness gradient, allowing the derivation of a closed-form solution. …”
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On empirical Bayes estimation of multivariate regression coefficient by R. J. Karunamuni, L. Wei

“…We investigate the empirical Bayes estimation problem of multivariate regression coefficients under squared error loss function. In particular, we consider the regression model Y=Xβ+ε, where Y is an m-vector of observations, X is a known m×k matrix, β is an unknown k-vector, and ε is an m-vector of unobservable random variables. …”
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