Development of speed and strength abilities of children aged 12-13 years in physical education classes in the COVID-19 pandemic by Olena Nesen

“…The obtained results were analyzed by methods of mathematical statistics: correlation analysis was conducted to identify relationships between the results of control standards of schoolchildren, the reliability of the difference was determined by the Student's criterion. …”
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PERFORMANCE ANALYSIS AND WEAR MECHANISM RESEARCH OF FEEDING SCREW OF COAL CLEANING MACHINE by XIE Miao, PEI BoBo, LIU ZhiXiang, LI Zheng, GENG XiWang

“…,the torque of screw is relatively small at the same time.In conclusion, the best range of screw speed is 35 r/min～ 50 r/min.In addition, the screw wear is serious when transporting large coal particles compared with small particles.Therefore, in practical application, the transportation of large coal should be carried out at low screw speed.Based on the above conclusion, in this paper, an optimal mathematical model is established to minimize the driving torque, obtaining the optimal structure and dynamic parameters of the screw, and proving the correctness of optimization process by simulation test.It provides a theoretical reference for improving the transportation efficiency of the coal cleaning machine, reducing the energy consumption of the equipment and prolonging the service life of the equipment.…”
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Scientific basis for design low-speed synchronous permanent magnet generators for wind power plants by A. A. Tatevosyan

“…For the stage of verification calculations of VEU parameters, the scientific basis of design is determined by the construction of mathematical models and their research using application software packages for PCs, while for the stage of preliminary calculations, the development of analytical methods of analysis is important. …”
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Method of Helicopter Turboshaft Engines’ Protection During Surge in Starting Mode by Denys Baranovskyi, Serhii Vladov, Maryna Bulakh, Victoria Vysotska, Viktor Vasylenko, Jan Czyżewski

“…This article proposes a mathematical model for protecting helicopter turboshaft engines from surges, starting with fuel metering supply and maintaining stable compressor operation. …”
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Habit of elongate amphibole particles as a predictor of mesothelial carcinogenicity by Andrey A. Korchevskiy, Ann G. Wylie

“…In addition, three validation sets (an asbestiform sample from Eastern New York and non-asbestiform samples from Quebec and Falls Village, Connecticut) were tested by Transmission Electron Microscopy (TEM) to determine dimensional distribution. Mathematical modeling was utilized to determine the classification method for amphiboles with various habits. …”
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Accelerated Multi-Key Homomorphic Encryption via Automorphism-Based Circuit Bootstrapping by Kangwei Xu, Ruwei Huang

“…In FHEW-like bootstrapping, blind rotation is based on the CMUX Gate (The CMux gate is a controlled selector gate that uses a control input to choose between two data inputs for the output), and blind rotation based on automorphism (A bijective transformation that maps a mathematical structure onto itself while preserving its original structure) supports arbitrary key distributions, uses smaller keys, and, compared to the CMUX gate-based blind rotation, has smaller noise growth without considering key distribution. …”
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Iterative Analytical Solutions for Nonlinear Two-Phase Flow with Gas Solubility in Shale Gas Reservoirs by Xiaoji Shang, J. G. Wang, Zhizhen Zhang

“…Firstly, a nonlinear mathematical model is developed for the two-phase flow of gas and water during shale gas production. …”
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Solving Spatial Optimization Problems via Lagrangian Relaxation and Automatic Gradient Computation by Zhen Lei, Ting L. Lei

“…While useful, such problems (especially large problem instances) are often difficult to solve using general mathematical programming (due to their generality). Traditionally, an alternative solution method is Lagrangian relaxation, which, if well-designed, can be fast and optimal. …”
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Psychological adaptation of a person experiencing loneliness to the conditions of studying at a university by Zinaida I. Berezina, Irina N. Ulybysheva

“…Rogovoy, methods of mathematical data processing Correlation criterion r-Spearman. …”
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Failure risk study of anchor bolts durability for loess slope under long-term hydro-thermal effect by Zhou Chang, Weifeng Sun, Changgen Yan, Hengxing Lan, Yuling Shi, Han Bao

“…The anchor serviceability and durability were evaluated by establishing a time-dependent mathematical model of axial forces. The results show that the slope shallow loess exhibited hydro-thermal fluctuations annually during operation, subjecting the loess to continuous dry–wet cycles. …”
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Human involvement with the rise of artificial intelligence in the realm of Geospatial Health by Mahdi Fallah, Tajoddin Karami, Moosa Kamanroodi Kojouri

“…In this research, spatial questions were conducted by considering public opinion, stakeholders, and decision makers under varying mental and emotional conditions. additionally, two different statistical and ranking methods were employed to comprehend the intricacies of individuals' mental states in a mathematical environment. All these methods were executed using software designed for location-based decision making under equal conditions. …”
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Study of psychological time dynamics at the age of youth by Valentina I. Volokhova, Marina I. Koshenova, Denis M. Shabanov

“…Aminev. Methods of mathematical statistics: t-Students criterion for independent samples and Pearsons index of linear correlation. …”
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A software module to assess the metabolic potential of mutant strains of the bacterium <i>Corynebacterium glutamicum</i> by F. V. Kazantsev, M. F. Trofimova, T. M. Khlebodarova, Yu. G. Matushkin, S. A. Lashin

“…The creation of highly productive strains whose metabolism is aimed to the synthesis of a specific desired product is impossible without complex directed modifications of the genome using mathematical and computer modeling methods. One of the bacterial species actively used in biotechnological production is Co­rynebacterium glutamicum. …”
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Influence of Roadway Cross-Section Shape on Gas Explosion Shock Wave Law in U-Type Ventilation Working Faces by Jiajia Liu, Mengqi Shen, Shouqi Chen, Ming Yang

“…By constructing a three-dimensional mathematical and physical model, a simulation study of the upper-corner gas explosion was carried out. …”
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Modeling, Analysis, and Implementation of Series-Series Compensated Inductive Coupled Power Transfer (ICPT) System for an Electric Vehicle by Moustapha Elwalaty, Mohamed Jemli, Hechmi Ben Azza

“…The simulation results indicate that it is important to operate the system in the resonance state to transfer the maximum real power from the source to the load. A mathematical expression of optimal equivalent load resistance, corresponding to a maximal transmission efficiency of a wireless charging system, was demonstrated in detail. …”
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Digital Modeling of Cone-generated Enveloping Torus Worm by Zhi Liu, Hong Lu, Xin Kuang, Liang Xia

“…The solving algorithm for the complex nonlinear mathematical models is also designed based on the forming principle of the envelope surface， the instantaneous contact line and all meshing point cloud for the tooth profile are calculated， the distribution of contact line of worm tooth profile is also given. …”
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Research on the Ground Vacuum Shortwave Calibration of Moon-Based Earth Radiation Budget Detector by Jieling Yu, Wei Fang, Duo Wu, Silong Wang, Zhitao Luo, Yuwei Wang, Yisu Zhang, Xin Ye

“…This paper presents the mathematical process of shortwave calibration and focuses on the design and analysis of SWCLS based on high stability, radiance and uniformity. …”
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Discovering non-associated pressure-sensitive plasticity models with EUCLID by Haotian Xu, Moritz Flaschel, Laura De Lorenzis

“…The method only requires full-field displacement and boundary force data from one single experiment and delivers constitutive laws as interpretable mathematical expressions. We construct a material model library for pressure-sensitive plasticity models with non-associated flow rules in four steps: (1) a Fourier series describes an arbitrary yield surface shape in the deviatoric stress plane; (2) a pressure-sensitive term in the yield function defines the shape of the shear failure surface and determines plastic deformation under tension; (3) a compression cap term determines plastic deformation under compression; (4) a non-associated flow rule may be adopted to avoid the excessive dilatancy induced by plastic deformations. …”
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Mechanisms controlling seasonal variations of hydrochemistry in a typical river of the Baiyangdian Basin by Xi YANG, Xiaowei JIANG, Xiaohong GENG, Rongtao MA, Taotao JI, Zhiyuan ZHANG

“…Various methods, including mathematical statistics, Piper diagrams, Gibbs diagrams, end-member analysis, and PHREEQC simulation, were employed. …”
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Socio-Cultural Educational Environment of University as a Factor in the Development of Future Teacher’s Polysubjectness by E. N. Krolevetskaya, I. F. Isaev

“…The reliability of the results was checked by methods of mathematical statistics (nonparametric Mann-Whitney test) using the IBM SPSS Statistics software package. …”
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