Effective Utilization of Data for Predicting COVID-19 Dynamics: An Exploration through Machine Learning Models by Dmytro Chumachenko, Tetiana Dudkina, Sergiy Yakovlev, Tetyana Chumachenko

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Evaluation of Turbojet Engine with Water Injection for Aircraft Use as Controlled Object by Alexandru-Nicolae Tudosie, Mihai Lungu

“…An embedded control system was described by its mathematical model; based on its equations, its block diagram with transfer functions was issued. …”
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Permeability Enhancement of Coal Seam by Lower Protective Layer Mining for Gas Outburst Prevention by Aiping He, Hua Fu, Bingjie Huo, Chaojun Fan

“…Based on the engineering background of the lower protective layer mining in Changping Coal Mine, the numerical simulation using the proposed mathematical model was performed. The results showed that the stress and permeability of the protected layer in #3 coal seam evolved dynamically with the advancement of the working face of the protective layer in #8 coal seam. …”
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Study of unusable liquid propellant residues evaporation processes parameters in the tanks of launch vehicle worked-off stage in microgravity by V. I. Trushlyakov, V. A. Urbansky

“…The physical and mathematical model of the liquid evaporation process is based on the first thermodynamics law. …”
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Solution of Extraordinary Differential Equations with Physical Reasoning by Obtaining Modal Reaction Series by Shantanu Das

“…Mathematical modeling of many engineering and physics problem leads to extraordinary differential equations like Nonlinear, Delayed, and Fractional Order. …”
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Study on Strength Variation of Permeable Concrete Based on Differential Calorimetry Method and Multi-Index Test by Sanqiang Yang, Meng Guo, Shichao Duan, Na Liu, Haonan Wu, Erxia Du, Meichen Liang

“…Moreover, the open gradation of pervious concrete mix ratio design is selected, and the cement content should be within the range of 20%–25%. (3) The mathematical model of permeability coefficient and porosity ratio of permeable concrete is established: k=−0.0003n2+0.0057n−0.0044; the mathematical model of permeability coefficient and compressive strength of open-graded pervious concrete: k=0.99006−0.05389c+8.02×10−4c2. …”
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Presenting a multi-objective decision-making model for cost-time trade-off considering the time value of money and solving it using particle swarm optimization by Mohammadreza Shahriari

“…To achieve this, a bi-objective mathematical model is developed to support decision-makers in selecting the optimal schedule for project execution.Methodology: In this study, a bi-objective mathematical model is proposed to balance cost and time, incorporating a nonlinear cost function and the time value of money. …”
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Finite Time Control for Fractional Order Nonlinear Hydroturbine Governing System via Frequency Distributed Model by Bin Wang, Lin Yin, Shaojie Wang, Shirui Miao, Tantan Du, Chao Zuo

“…This paper studies the application of frequency distributed model for finite time control of a fractional order nonlinear hydroturbine governing system (HGS). Firstly, the mathematical model of HGS with external random disturbances is introduced. …”
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Simulation of dynamics of oscillations of manipulator using Lagrange equations of second order by A. H. Shamutdinov, I. Yu. Lesnyak

“…The article discusses the main stages of compiling a dynamic model of manipulator oscillations, based on the method of mathematical modeling, the basis of which is the circuit design of the manipulator under study. …”
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Numerical Simulation of Unsteady-State Flow in Dual Porous Coalbed Methane Horizontal Wells with Complex Boundary Conditions by Cheng-yong Li, Jun Zhou, Xiang-yi Yi, Yi Luo, Ping-zhi Gong

“…The bottom-hole pressure response which can reflect the gas flow characteristics is important to study. A mathematical model for description of gas from porous coalbed methane (CBM) reservoirs with complex boundary conditions flowing into horizontal wells has been developed. …”
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Modelling of the VU budget means alocation by Aleksas Pikturna, Feliksas Ivanauskas, Bogdan Lapcun

“…Two approaches of the mathematical modelling have appeared in higher education: the package model and locally designed model. …”
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Theoretical and Experimental Study on Rapid Decompression Oscillation in Altitude Chamber by Zifeng Tian, Jianfeng Lu, Zhao Gu, Lihua Yu, Hao Zhou, Lijun Yang

“…Given the frequent airflow excitation phenomenon caused by the rapid decompression of the altitude chamber, the mathematical model of the nonlinear system of the rapid decompression of the altitude chamber is established. …”
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ACCEPTABLE LIMITS FOR CORRECTION OF HEATING LOAD WHILE OPTIMIZING OPERATIONAL MODES OF HEAT SOURCES by P. I. Diachek, V. A. Sednin, A. E. Zakharevich, I. V. Shkliar

“…Numerical investigations of temperature fields in the apartments of a multi-dwelling building has been carried out on the basis of the developed mathematical model and algorithm of its realization. The investigations have  made it possible to evaluate dynamics of changes in air temperature under unsteady conditions due to increase or reduction heating device capacity with regard to standardized values. …”
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Architectural Interior Modeling Product Design Based on the Multimedia Three-Dimensional Hybrid Algorithm by Tao Su, Gang Ouyang

“…Relying on the multimedia three-dimensional hybrid algorithm, the mathematical modeling of the relationship between visual comfort and chromaticity is modeled in this paper, to construct an economical and practical interior architectural design model that takes into account color comfort perception, that is, complete “design, conversion, editing and repair, and semantic and coordinate supplement” and other chain construction to realize usable interior architectural design models. …”
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Comprehensive two-phase flow calculation method with in-channel refrigerant boiling by A. V. Zaitsev, A. A. Malyshev, K. F. Kouadio, O. S. Malinina, A. O. Lisovtsov

“…The analytical dependencies presented form together a complete mathematical model, which is implemented in the form of a computer program…”
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Selection of Numerical Criterion Value for Determination of Short Circuit Type in Adaptive Micro-Processing Current Protection of Electric Power Lines by A. V. Kovalevsky

“…The paper considers a principle for determination of a short circuit type which is used in the mathematical model of adaptive micro-processing protection with the purpose to improve sensitivity. …”
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Determination of Number of Infected Cells and Concentration of Viral Particles in Plasma during HIV-1 Infections Using Shehu Transformation by M. Higazy, Sudhanshu Aggarwal, Y. S. Hamed

“…For this, the authors first defined some useful properties of Shehu transformation with proof and then applied Shehu transformation on the mathematical representation of the HIV-1 infection model. The mathematical model of HIV-1 infections contains a system of two simultaneous ordinary linear differential equations with initial conditions. …”
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Energy Considerations in a Model of Nematode Sperm Crawling by Borys V. Bazaliy, Ya. B. Bazaliy, Avner Friedman, Bei Hu

“…In this paper we propose a mathematical model for nematode spermcell crawling. The model takes into account both force and energybalance in the process of lamellipodium protrusion and cellnucleus drag. …”
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Development of Spherical Actuator with L-Shaped Yoke by Yu-Wen Huang, Hao-Wen Chung, Yu-Ming Chen, Chien-Sheng Liu, Ming-Fu Chen

“…In the design process, SOLIDWORKS 2018 software is used for design modeling and assembly simulation, ANSYS Maxwell 2018 software is employed for magnetic circuit analysis and electromagnetic simulation, while MATLAB is utilized for analyzing the dynamic characteristics through a mathematical model. A prototype was also fabricated, and torque measurement experiments were conducted to verify the performance and feasibility of the proposed design.…”
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Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination by A. Abdelkhalek, A.H. Abdel Kader, I.L. El-Kalla, A. Elsaid, Amr Elsonbaty, K.S. Nisar

“…Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. …”
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