Two-scale convergence analysis and numerical simulation for periodic Kirchhoff plates by Zhiwei Huang, Xiaomiao Zeng, Chen Wang, Chongren Liu

“…Besides, the well-posedness analysis of the PDE is verified by the Lax-Milgram theorem, and the reasonability of the two-scale asymptotic expansion solution by the AHM is mathematically verified through the proof of two-scale convergence. …”
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SIMSCAPE Electrical Modelling of the IGBT with Parameter Optimization Using Genetic Algorithm by Mohamed Baghdadi, Elmostafa Elwarraki, Naoual Mijlad, Imane Ait Ayad

“…The proposed method is based on the Genetic Algorithm (GA) to perfectly extract and optimize the model parameters using the mathematical model circuit equations and the provided datasheet characteristics. …”
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Performance Prediction of a Synchronization Link for Distributed Aerospace Wireless Systems by Wen-Qin Wang, Huaizong Shao

“…The use of a dedicated synchronization link to quantify and compensate oscillator frequency instability is investigated in this paper. With the mathematical statistical models of phase noise, closed-form analytic expressions for the synchronization link performance are derived. …”
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BICO MPPT: A Faster Maximum Power Point Tracker and Its Application for Photovoltaic Panels by Hadi Malek, YangQuan Chen

“…This claim has been discussed and proved mathematically in this paper, in addition to simulation illustrations. …”
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A model-free method to learn multiple skills in parallel on modular robots by Fuda van Diggelen, Nicolas Cambier, Eliseo Ferrante, A. E. Eiben

“…The novelty of our approach, underpinned by a mathematical analysis of the controller model, is to search for good initial states, instead of optimising connection weights. …”
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Performance of Variable Negative Stiffness MRE Vibration Isolation System by Run-pu Li, Cheng-bin Du, Fei Guo, Guo-jun Yu, Xiao-guo Lin

“…The relationship between the negative stiffness and the performance of the device is obtained by mathematical transformation. Its vibration response under simple harmonic excitation at small amplitude and the impact of the volume fraction of soft magnetic particles on the isolation system are also analyzed. …”
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An Improved MPPT Algorithm for PV Generation Applications Based on P-U Curve Reconstitution by Yaoqiang Wang, Meiling Zhang, Xian Cheng

“…In order to solve this problem, this paper takes MPPT as the main research object, and an improved MPPT algorithm for PV generation applications based on P-U curve reconstitution is proposed. Firstly, the mathematical model of PV array is presented, and then the output dynamic characteristics are analyzed. …”
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Analysis of the n-Term Klein-Gordon Equations in Cantor Sets by Nikhil Sharma, Sunil Joshi, Pranay Goswami

“…The proposed method, along with the existence of the solutions demonstrated through some examples, provides a powerful mathematical means in solving fractional linear differential equations. …”
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Circular Antenna Array Synthesis Using Multiverse Optimizer by Ahmet Emre Taser, Kerim Guney, Erhan Kurt

“…Since achieving a desired antenna radiation pattern is a mathematical problem, in the literature, there are various optimization algorithms applied to the synthesis process of different kinds of antenna arrays. …”
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Numerical Analyses of Static Characteristics of Liquid Annular Seals Based on 2D LBM-LES Model by Zhenjie Zhang, Lulu Zhai, Jia Guo, Zuchao Zhu, Guoyou Chen

“…In this paper, a two-dimensional (2D) mathematical model for predicting the leakage flow rates and static characteristics of liquid seal is established, based on the lattice Boltzmann method (LBM) combined with the D2G9 velocity model for incompressible fluid and large eddy simulation (LES) turbulence model, in which the transformation equation of reference pressure is developed with the Bernoulli equation. …”
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Diagnostics of heat exchange equipment on basis of operating parameters of diesel fuel hydrotreating unit by A. М. Demin, A. P. Naumenko

“…According to the results of calculations on a mathematical model of a typical hydrotreating unit using a real-time diagnostic program based on monitoring operational parameters, the criterion for assessing the state of the reactor unit heat exchanger increases from 1 to 1.37 with an increase in the annulus pollution coefficient. …”
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A mixed-integer linear programming model for scheduling volunteers in technical support teams in Non-Governmental Organizations by Valdir Soares Silva Neto, Ricardo Lukas de Medeiros França, Keren Karolyne Nóbrega Silva, Luciano Carlos Azevedo da Costa, Hugo Harry F. R. Kramer

“…To solve the problem, a mathematical model is proposed whose objective is to allocate volunteers to tasks for which they have the greatest ability. …”
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An Improved Genetic Algorithm Based Robust Approach for Stochastic Dynamic Facility Layout Problem by Yunfang Peng, Tian Zeng, Lingzhi Fan, Yajuan Han, Beixin Xia

“…Mont Carlo simulation method is used to randomly generate different scenarios. A mathematical model is established to describe the dynamic facility layout problem with the consideration of transport device assignment. …”
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Physical One‐Way Functions for Decentralized Consensus Via Proof of Physical Work by Marvin Winkler, Catharina Peither, Simon Petrick, Lothar Seidemann, Holger Jelich, Frank Kleine Jäger, Jörn Müller‐Quade, Alexander Colsmann, Hermann Nirschl, Frank Rhein

“…In the context of the applied methods, this setup promises to be mathematically unclonable, steady, reproducible, collision resistant and non‐invertible and illustrates the feasibility of a physical one‐way function. …”
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How to Design a National Aggregated Ranking? by V. A. Bolotov, G. N. Motova, V. G. Navodnov, O. E. Ryzhakova

“…The suggested MetALeague method is based on the mathematical tool of the voting theory in small groups and helps to combine different independent evaluations in a single format. …”
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Effect of duration and pressure of carbonation curing on the chloride profile in concrete by Roberto Luiz Dias, Neusa Aparecida Munhak Beltrame, Jordi Rius Gonzalez, Ronaldo Alves Medeiros-Junior

“…Chloride profiles were obtained and modeled by 4 mathematical equations. The results showed that the combination of less time and CO2 pressure during carbonation curing potentiated the reduction of chloride penetration in concrete. …”
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Development and optimization of the activated charcoal suspension composition based on a mixture design approach by Ronowicz Joanna, Kupcewicz Bogumiła, Pałkowski Łukasz, Krysiński Jerzy

“…A slight increase in the content of carboxymethylcellulose sodium led to a marked decrease in adsorption power. The obtained mathematical models and response surface allowed selection of the optimal composition of excipients in a final drug product…”
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Study of Enzymatic Hydrolysis of Fructans from Agave salmiana Characterization and Kinetic Assessment by Christian Michel-Cuello, Imelda Ortiz-Cerda, Lorena Moreno-Vilet, Alicia Grajales-Lagunes, Mario Moscosa-Santillán, Johanne Bonnin, Marco Martín González-Chávez, Miguel Ruiz-Cabrera

“…Hydrolysis process was monitored by measuring the sugars released and residual substrate by HPLC. A mathematical model which describes the kinetics of substrate degradation as well as fructose production was proposed to analyze the hydrolysis assessment. …”
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Adaptive Fuzzy Type-II Controller for Wheeled Mobile Robot with Disturbances and Wheelslips by Viet Quoc Ha, Sen Huong-Thi Pham, Nga Thi-Thuy Vu

“…The stability of each loop as well as the overall system is proven mathematically based on the Lyapunov theory. Finally, the simulation is setup to verify the effectiveness of the presented algorithm. …”
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Tracking Control for Mobile Robots Considering the Dynamics of All Their Subsystems: Experimental Implementation by José Rafael García-Sánchez, Ramón Silva-Ortigoza, Salvador Tavera-Mosqueda, Celso Márquez-Sánchez, Victor Manuel Hernández-Guzmán, Mayra Antonio-Cruz, Gilberto Silva-Ortigoza, Hind Taud

“…The trajectory tracking task in a wheeled mobile robot (WMR) is solved by proposing a three-level hierarchical controller that considers the mathematical model of the mechanical structure (differential drive WMR), actuators (DC motors), and power stage (DC/DC Buck power converters). …”
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