A POD-Based Reduced-Dimension Method for Solution Coefficient Vectors in the Crank–Nicolson Mixed Finite Element Method for the Fourth-Order Parabolic Equation by Xiaohui Chang, Hong Li

“…This research proposes a method for reducing the dimension of the coefficient vector for Crank–Nicolson mixed finite element (CNMFE) solutions to solve the fourth-order variable coefficient parabolic equation. …”
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The recursive algorithm to construct Dirichlet function by A. N. Lysiuk, S. S. Derechennik

“…The importance of this problem is demonstrated for the procedures processing statistical data, representing the ratio of two discrete variables with a variable denominator. It is found out, that that required number of fractions is equal to the Dirichlet function value at the x point, and the original rule is proposed to construct it, which has a simple geometric interpretation. …”
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Advanced IoT-based monitoring system for real-time photovoltaic performance evaluation: Conception, development and experimental validation by Njimboh Henry Alombah, Jerome Ndam Mungwe, Ambe Harrison, Wulfran Fendzi Mbasso, Hilaire Bertrand Fotsin

“…The device is equipped with weather-resistant sensors, enabling efficient operation in various weather conditions throughout the year. …”
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Principles of research of soil ped deformation at interaction with machine working element by V. I. Kravchuk, V. P. Davydyuk

“…Research of systems of analytical models of the second order with variable coefficients in partial derivatives with a set of input and output parameters can be effectively realized by numerical methods with use of the special varargin and varargout functions. …”
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A Proposal for a New Python Library Implementing Stepwise Procedure by Luiz Paulo Fávero, Helder Prado Santos, Patrícia Belfiore, Alexandre Duarte, Igor Pinheiro de Araújo Costa, Adilson Vilarinho Terra, Miguel Ângelo Lellis Moreira, Wilson Tarantin Junior, Marcos dos Santos

“…As the main contribution of this study, we present the stepwise function implemented in Python to improve the effectiveness of statistical analyses, allowing the intuitive and efficient selection of statistically significant variables. …”
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A STUDY OF THE DETERMINANTS OF THE OLIVE CROP PRODUCTION IN NINEVEH PROVINCE: BASHIQA DISTRICT AS A CASE STUDY FOR THE SEASON 2010 by Abdul Salam Hussein, Salah Fahmi Shaba

“…The Output of the olive crop was considered as the explanatory variable and the total cost in Iraqi Dinar is considered as dependant variable. …”
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Enhanced nonlinear sliding mode control technique for wind power generation systems application: Theoretical design and comparative study by Yattou El Fadili, Ismail Boumhidi

“…This study presents a novel robust nonlinear controller for regulating the electromagnetic torque of horizontal-axis, variable-speed WPGSs with three blades connected to the grid. …”
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Modeling of an automated recruitment planning system for educational organizations by S. A. Mishin, E. Yu. Nikulina, E. A. Rogozin, R. A. Solodukha

“…The advantage of the proposed approach gives a clear idea of the structure and functional purpose of the system.Conclusion. The system will automate the process of recruiting educational organizations in order to increase the efficiency of decision support in the field of training specialists for the Russian Ministry of Internal Affairs.…”
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Minute Ventilation/Carbon Dioxide Production Slope Could Predict Short- and Long-Term Prognosis of Patients After Acute Decompensated Heart Failure by Sheng-Hui Tuan, I-Ching Huang, Wei-Chun Huang, Guan-Bo Chen, Shu-Fen Sun, Ko-Long Lin

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A Neutrosophic Multi-Objective Optimization Framework for Sustainable Design of Water Supply Systems by Jesús Rafael Hechavarría Hernández, Maikel Yelandi Leyva Vázquez

“…Through the application of MMN, optimal solutions are identified that not only minimize costs and losses but also maximize efficiency and service quality, considering variability in demand and risks associated with climate change and infrastructure failures. …”
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Construction and analysis of one class of cryptographic functions by Zhi-hui OU, Ya-qun ZHAO, Xu LI

“…A novel class of n+t -variable Boolean functions G (x,y) through adding t variables while concatenating t+ 1 Boolean functions (called basic function) was constructed and the Walsh spectrum and autocorrelation coefficient of G(x,y)were given.The relationship between G(x,y)and basic functions by Krawtchouk polynomial and Krawtchouk matrix was studied.Moreover,their cryptographic properties:correlation immunity,propagation and algebraic immunity were investigated.Specially,the detailed relationship between G (x,y) and basic functions when t= 2 was analyzed.In additional,a novel class of multioutput Boolean functions by generalizing the method was constructed and the general Walsh spectrum of the class of multioutput Boolean functions was proposed.Correlation immunity and algebraic immunity of the class of multioutput Boolean functions were analyzed.…”
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Construction and analysis of one class of cryptographic functions by Zhi-hui OU, Ya-qun ZHAO, Xu LI

“…A novel class of n+t -variable Boolean functions G (x,y) through adding t variables while concatenating t+ 1 Boolean functions (called basic function) was constructed and the Walsh spectrum and autocorrelation coefficient of G(x,y)were given.The relationship between G(x,y)and basic functions by Krawtchouk polynomial and Krawtchouk matrix was studied.Moreover,their cryptographic properties:correlation immunity,propagation and algebraic immunity were investigated.Specially,the detailed relationship between G (x,y) and basic functions when t= 2 was analyzed.In additional,a novel class of multioutput Boolean functions by generalizing the method was constructed and the general Walsh spectrum of the class of multioutput Boolean functions was proposed.Correlation immunity and algebraic immunity of the class of multioutput Boolean functions were analyzed.…”
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New feedback functions for synchronizing chaotic maps by M. K. Ali

“…Synchronization of chaotic maps is studied using the method of variable feedback. A general method is presented for generating feedback functions for maps. …”
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Safety Performance Functions for Low-Volume Roads by Gianluca Dell’Acqua, Francesca Russo

“…The research study presented here has been used to calibrate crash prediction models (CPMs) per kilometer per year. The coefficients of the CPMs are estimated using a non-linear multi-variable regression analysis utilizing the least – square method. …”
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Symmetric physically unclonable functions of the arbiter type by V. N. Yarmolik, A. A. Ivaniuk

“…It has been established that classical APUF uses a standard basic element that performs three functions, namely, the function of generating two random variables Generate, the function of choosing a pair of paths Select and the function of switching paths Switch, which are specified by one bit of the challenge. …”
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Optimization of non-smooth functions via differentiable surrogates. by Shikun Chen, Zebin Huang, Wenlong Zheng

“…These models are commonly used to predict outputs based on a combination of fixed parameters and adjustable variables. A key transition in optimization involves moving beyond simple prediction to determine optimal variable values. …”
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A domain free of the zeros of the partial theta function by V. Kostov

“…For each $q$ fixed, $\theta$ is an entire function of order $0$ in the variable~$x$. When $q$ is real and $q\in (0,0.3092\ldots )$, $\theta (q,.)$ is a function of the Laguerre-P\'olya class $\mathcal{L-P}I$. …”
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Correlation and path analysis of interaction between snap beans yield and its components with crop management by N. Shaban

“…Results showed that fresh weight of pod/studied variant (+++0.99), fresh weight of one pod (+++0.77), fresh weight of pods/ plant (+++0.67), calcium content in bean pods (++0.57), pods number /plant (++0.51), pollen fertility (++0.44) had positive impact on yield. The partial function of the studied parameters on variability of bean yield is 98.9%. …”
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On a geometric approach to the estimation of interpolation projectors by Mikhail V. Nevskii, Alexey Y. Ukhalov

“…Here $\sigma S$ is the result of homothety of $S$ with respect to the center of gravity with coefficient $\sigma$. Let $d\geqslant n+1,$ $\varphi_1(x),\ldots,\varphi_d(x)$ be linearly independent monomials in $n$ variables, and $\varphi_1(x)\equiv 1,$ $\varphi_2(x)=x_1,\ \ldots, \varphi_{n+1}(x)=x_n.$ Put $\Pi:=$lin$(\varphi_1,\ldots,\varphi_d).$ The interpolation projector $P: C(\Omega)\to \Pi$ with a set of nodes $x^{(1)},\ldots, x^{(d)} \in \Omega$ is defined by equalities $Pf\left(x^{(j)}\right)=f\left(x^{(j)}\right).$ Denote by $\|P\|_{\Omega}$ the norm of $P$ as an operator from $C(\Omega)$ to $C(\Omega)$ . …”
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Global change in the trophic functioning of marine food webs. by Aurore Maureaud, Didier Gascuel, Mathieu Colléter, Maria L D Palomares, Hubert Du Pontavice, Daniel Pauly, William W L Cheung

“…First, we developed two indicators to assess such changes: the Time Cumulated Indicator (TCI) measuring the residence time of biomass within the food web, and the Efficiency Cumulated Indicator (ECI) quantifying the fraction of secondary production reaching the top of the trophic chain. …”
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