Overview of modern technologies for measuring, predicting and correcting turbulent distortions in optical waves by V.P. Lukin, I.P. Lukin

“…The work consists of the following parts: description of a technique for measuring fluctuations of optical waves in an atmospheric path, theoretical calculations of fluctuations by analytical analysis and mathematical modeling methods, technology for predicting turbulent air movement by the numerical solution of the Navier–Stokes equations and, finally, constructing adaptive optics systems that compensate for the turbulent distortions in optoelectronic image construction systems. …”
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Soil erosion by assessing hydrothermal conditions of its formation by A.B. Achasov, A.A. Achasova, A.V. Titenko

“…Formation of the soil’s natural profile on the slopes, caused by the action of natural factors of soil formation, can be described using a mathematical model, characterizing hydrothermal conditions of the slope areas through relative parameters of insolation (Ki) and moisture. …”
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Numerical Simulation of Low-Permeability Reservoirs with considering the Dynamic Boundary Layer Effect by Chuanzhi Cui, Yingfei Sui, Xiangzhi Cheng, Yinzhu Ye, Zhen Wang

“…On this basis, the mathematical model of oil-water two-phase flow which involves influence of the boundary layer was constructed, and the comparative analysis of the development effect is performed. …”
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Secure Localization in Wireless Sensor Networks with Mobile Beacons by Ting Zhang, Jingsha He, Hong Yu

“…The proposed SLMB scheme is also designed to resist wormhole attacks, and localization is developed based on a mathematical model to design a path for the mobile beacon node to traverse in order to cover the entire sensor network. …”
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Study on the heat transfer characteristics of mine roadway surrounding rock under periodic airflow temperature: Numerical simulation and experimental validation by Mingyan Guo, Yueping Qin, Dongyang Han, Fei Tang, Shibin Wang, Hairong Wang

“…In this work, a heat transfer mathematical model of roadway surrounding rock under periodic airflow temperature was established. …”
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Numerical investigation of heat and mass transfer for unsteady multiphase flow in a vented cavity filled with hybrid nanofluid by Muhammad Ashhad Shahid, Mojtaba Dayer, Muhammad Adil Sadiq, Haris Ali, Ishak Hashim

“…The investigation employs a novel dimensionless mathematical model to explore these dynamics using Buongiorno’s approach, which considers Brownian motion and thermophoresis in nanofluids. …”
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Students' misconceptions in algebraic concepts: A four-tier diagnostic test approach by Hestu Wilujeng, Aristiawan, Joel I. Alvarez

“…The test consisted of 12 questions covering four aspects of algebraic thinking: problem-solving, mathematical modeling, generalization, and analytical thinking. …”
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Foreign trade of Russia and Vietnam: modern trends and prospects of development by B. A. Anikin, O. B. Anikin, N. Q. Thyong

“…The study develops a mathematical model for forecasting exports and imports of Russia and Vietnam by individual indicators until 2025. …”
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Design and Analysis of an Optical Coupler for Concentrated Solar Light Using Optical Fibers in Residential Buildings by Afshin Aslian, Barmak Honarvar Shakibaei Asli, Chin Joo Tan, Faisal Rafiq Mahamd Adikan, Alireza Toloei

“…This study deals with designing and simulating a high-efficiency coupler, employing a mathematical model to connect sunlight with fiber optics for multiple applications. …”
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Homotopic Solution for 3D Darcy–Forchheimer Flow of Prandtl Fluid through Bidirectional Extending Surface with Cattaneo–Christov Heat and Mass Flux Model by Shamaila Batool, A. M. Alotaibi, Waris Khan, Ahmed Hussein Msmali, null Ikramullah, Wali Khan Mashwani

“…The Prandtl fluid motion is mathematically modeled using the law of conservations of mass, momentum, and energy. …”
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Determination of Optimum Conditions for the Production of Activated Carbon Derived from Separate Varieties of Coconut Shells by E. S. Sanni, M. E. Emetere, J. O. Odigure, V. E. Efeovbokhan, O. Agboola, E. R. Sadiku

“…The results from experiment and the developed mathematical model were both found to be in agreement giving the optimum concentration of phosphoric acid and pH for producing activated carbon to be 0.67 M and 2.07 for the tall tree variety and 1 M and 1.98 for the dwarf variety at optimum temperatures in the range of 450–575°C and 575°C, respectively.…”
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Investigation of vibration protection system of a seat with quasi-zero stiffness under stochastic effects on the elements of running equipment of a motor grader by M. S. Korytov, V. S. Shcherbakov, I. E. Kashapova

“…With the help of a complex simulation mathematical model of a motor grader developed in the Matlab environment, including subsystems of vibration-protective cab supports, a vibration-protective mechanism of the operator's seat, setting stochastic effects on the elements of running equipment when moving along a microrelief, a computational experiment is carried out, when processing the results of which, the influence of a number of system parameters on the root-mean-square seat acceleration deviation in the vertical direction. …”
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Cyclic surfaces accompanying non-ruled quadrics of rotation by K. L. Panchuk, T. M. Myasoedova, E. V. Lyubchinov

“…The geometric scheme of surface shaping is based on a construction that includes: a curvilinear axis of rotation and a one-parameter set of its normal planes; a generatrix whose points describe in normal planes circular trajectories centered on a curvilinear axis. A mathematical model of shaping the surface of non-linear rotation for the general case of specifying the axis of rotation and the generatrix is given. …”
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A modelling technique to determine the high frequency transformer leakage inductance using the winding structure by Yasir S. Dira, Ahmad Q. Ramli, Ungku Anisa Ungku Amirulddin, Nadia M. L. Tan

“…By not varying the average length of turns in the winding configuration, the proposed method was able to maintain a consistent copper loss. A modified mathematical model has been put forward to determine the leakage inductance effectively and precisely. …”
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Direct Torque Control of Dual Three Phase Induction Motor fed by Direct Power Control Rectifier using Fuzzy Logic Speed Controller by Radhwane Sadouni, M’hamed Sahnoun, Ilyes Zababe, Hassen Reghioui

“…To tackle these challenges, we propose a fuzzy logic-based speed controller for DTC, which enhances adaptability to system dynamics without necessitating a precise mathematical model. The fuzzy logic controller (FLC) is particularly effective in regulating speed under varying load conditions, improving robustness, and minimizing torque ripple. …”
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Analysis and Design of the Project Risk Management System Based on the Fuzzy Clustering Algorithm by Ping Zhong, Hang Yin, Yuanfu Li

“…The system introduces the fuzzy clustering maximum tree algorithm, and by constructing a mathematical model, combined with the empirical analysis, the key risk factors in the cost risk of power grid construction projects are identified. …”
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Complex application of mathematical methods in diagnostics of diffuse liver diseases by I. Yu. Pirogova, S. A. Pyshkin, A. A. Bolotov

“…At inaccessibility of LB for diagnostics, LF stage can be assessed by noninvasive methods based on mathematical modelling with plotting of «images» of various etiological forms, LF stages and HAI of disease. …”
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Optimal allocation of intelligent parking lots in distribution system: A robust two‐stage optimization model by Motahareh Mojarad, Mostafa Sedighizadeh, Mohamad Dosaranian‐Moghadam

“…The aim of this paper is to optimally allocate IPLs in order to minimize system costs through a two‐stage mathematical model. The system cost involves installation cost, cost of exchanging the electrical power with an upstream grid, cost of the electrical power loss, network reliability cost, and emissions cost. …”
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Design of Network and Pole for Meeting Lighting, Communication, and Energy Needs from a Single Source in Disasters by Levent Aksoy, İlknur Yardımcı Coşkun

“…In this study, following a systematic literature review, a multifunctional pole design was developed using engineering design methods, and the system's capacity and other parameters were evaluated through mathematical modeling. This hybrid pole provides a network structure offering integrated lighting, energy, and communication services during and after disasters. …”
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A Multi-Objective Stochastic Model for an Earthquake Relief Network by Zeren D. Yenice, Funda Samanlioglu

“…In this paper, a new stochastic multi-objective mixed integer mathematical model is developed and implemented in Kadikoy municipality of Istanbul, Turkey in order to configure part of the earthquake relief network. …”
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