Exact Solutions for Nonlinear Wave Equations by the Exp-Function Method by Mingsheng Hu, Zhijuan Jia, Qiaoling Chen, Suiming Jia

“…By the aid of some mathematical software, the solution process becomes extremely simple and accessible.…”
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Study on Optimization of Pump Shaft Transmission System of Plastic Centrifugal Pump by Lili Zhang, Lingfeng Tang, Qingzhao Wen, Wenbin Luo

“…Simultaneously, using polynomial fitting as a mathematical tool, the experimental data were analyzed, and the mathematical expression of the rotation speed deflection relationship of the pump shaft at the first critical rotation speed and the corresponding function curve was obtained.…”
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Representing unsegmented vessels using available vascular data for bioheat transfer simulation by Rohan Amare, Amir A. Bahadori, Amir A. Bahadori, Steven Eckels, Steven Eckels

“…Each generation is successively removed and substituted with the new flow resistance equations to analyze the error in heat transfer due to a lack of segmentation data.ResultsThe effect of using mathematical equations of flow resistance on bioheat transfer is analyzed. …”
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Soil Deformation around a Cylindrical Cavity under Drained Conditions: Theoretical Analysis by Pieride Mabe Fogang, Yang Liu, Jiale Zhao, Kevin Igor Azeuda Ndonfack

“…Additionally, the Airy stresses are obtained through mathematical derivatives and integrations by combining the Fourier analysis test with the Navier equations. …”
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Nonlinear versus Ordinary Adaptive Control of Continuous Stirred-Tank Reactor by Jiri Vojtesek, Petr Dostal

“…Proposed controller is tested by the simulations on the mathematical model of the continuous stirred-tank reactor with cooling in the jacket as a typical nonlinear system.…”
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Stepwise fuzzy correction of the algorithm filters of random signals by A. A. Lobaty, A. S. Radkevich

“…It is assumed that the gauges are discrete and are described, like the original process assessed, by a discrete mathematical model in the form of difference equations. …”
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MODIFICATION OF THE LEONTIEV MODEL FOR DESCRIPTION OF REGIONAL ECONOMIC CLUSTERS by S. O. Kramarov, N. V. Pelikhov, L. V. Sakharova, V. V. Khramov

“…It has been proposed to use a new analogue of the Leontiev model of interindustry balance as a mathematical apparatus for studying the influence of clustering on the financial and economic state of enterprises (organizations). …”
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Optimal Routing of Solid Waste Collection Trucks: A Review of Methods by Alhassan Sulemana, Emmanuel A. Donkor, Eric K. Forkuo, Sampson Oduro-Kwarteng

“…This paper reviews the effect of applying optimization methods on the collection process of solid waste, with particular interest in mathematical programming and geographic information system approaches in developing countries. …”
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Modeling Peer-to-Peer Botnet on Scale-Free Network by Liping Feng, Hongbin Wang, Qi Han, Qingshan Zhao, Lipeng Song

“…To prevent effectively P2P botnet, in this paper, a mathematical model which combines the scale-free trait of Internet with the formation of P2P botnet is presented. …”
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Reliability analysis of landing gear operation based on improved support vector machine-based decomposed-coordinated by ZHANG Lei, CHEN Junyu, FENG Jun, FENG Yunwen, LIU Lei

“…The improved support vector machine aims to optimize the performance of the limit state function in each sub-mathematical model by applying multi-stage adaptive point position control of hyperparameters. …”
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Effects of the Hot Alignment of a Power Unit on Oil-Whip Instability Phenomena by A. Vania, P. Pennacchi

“…By including these bearing coefficients in a mathematical model of the fully assembled machine, the real part of the eigenvalue associated with the first balance resonance of the generator rotor became positive. …”
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Recoil and Vibration in an Archery Bow Equipped with a Multi-Rod Stabilizer by Igor Zaniewski

“…The aim of this research is to create a mechanical and mathematical model of a multi-rod stabilizer for the sport archery bow and to analyze its capability to damp disagreeable recoil and vibration of the bow during internal ballistic motion. …”
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Research on IQ Imbalance Error of Orthogonal Alternating Sampling by Junyi Luo, Tao Liu

“…This paper makes an in-depth study on such IQ imbalance errors and mathematically deduces the mathematical expressions of imbalance errors and the spurious frequency distribution caused by them, which shows that the positions where the spurious signals appear are closely related to the frequency of input signal and the tuning frequency of analogue quadrature demodulation. …”
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Critical Length and Collapse of Interlayer in Rock Salt Natural Gas Storage by Yingjie Wang, Jianjun Liu

“…The calculation results of the mathematical model are highly accurate with respect to actual engineering logging data, in general with over 90% of accuracy. …”
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Application of Particle Swarm Optimization Algorithm in the Heating System Planning Problem by Rong-Jiang Ma, Nan-Yang Yu, Jun-Yi Hu

“…The proposed mathematical model minimizes the cost of heating system as the objective for a given life cycle time. …”
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The analysis of cutting forces for hardened steel milling by D. S. Makashin

“…Studies of the full factorial experiment on the processing of steel 14Kh17N2 are carried out using a micro end mill with AlTiN coating. New mathematical models of cutting force and axial force have been developed that are adequately able to predict and optimize the forces acting on the cutting tool. …”
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Effect of Varying Illumination and Temperature on Steady-State and Dynamic Parameters of Dye-Sensitized Solar Cell Using AC Impedance Modeling by Brijesh Tripathi, Pankaj Yadav, Manoj Kumar

“…The steady-state current-voltage curve and dynamic response of a dye-sensitized solar cell (DSSC) is mathematically modeled based on electrical equivalent circuit. …”
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Automation of technological process of filling chambers during pneumatic vacuum tests by A. R. Aliev

“…The scheme and technology of the automated process of filling chambers with control gas are considered. Mathematical description of the functioning of filling system served as a basis for the development of design and analysis procedure of performance characteristics is constructed.…”
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MODELING OF SPATIAL DISTRIBUTION OF SPEEDS OF METAL IN MOLDS WITH VARIOUS TYPE OF CONNECTION OF GATING CHANNELS IN CAE «PROLIT-І» by A. N. Chichko, V. F. Sobolev, S. G. Lihouzov, o A. Sachek, O. I. Chichko

“…The mathematical apparatus for the calculation analysis of the metal current process in casting mold cavities is described. …”
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Software and Resources of Modern Programming Languages for Bioinformatics and Computational Vaccinology Research of the New Coronavirus Infection by M. V. Sprindzuk, A. S. Vladyko, L. P. Titov, A. P. Konchits

“…The review paper focuses on the application of software for the purposes of genomics, immunoinformatics, computational vaccinology, mathematical epidemiology and phylogeny of the new coronavirus infection. …”
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