Modelling infiltration processes in rain gardens: Influence of design parameters on hydrological efficiency by M. Kravchenko, T. Tkachenko, V. Mileikovskyi

“…Suboptimal rain garden designs may compromise hydrological performance during operation, necessitating developing and validating a mathematical model for engineering calculations and design assessment. …”
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Learning-Based Model Predictive Control for Legged Robots with Battery–Supercapacitor Hybrid Energy Storage System by Boyu Shu, Zhiwu Huang, Wanwan Ren, Yue Wu, Heng Li

“…This article proposes a learning-based model predictive control (MPC) energy management strategy for legged robots with battery–supercapacitor hybrid energy storage systems containing a power prediction unit and an MPC with learning-based adaptive weights. Firstly, the mathematical model of the legged robot is established, and a dual-layer long short-term memory network is constructed to predict the load power demand, providing the model and measurable disturbance for the MPC. …”
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Study of characteristics of vortex tube by V. I. Kuznetsov, V. V. Makarov, A. S. Gritsay

“…Based on the previously compiled physical and mathematical model of the vortex tube workflow, the calculation of the thermogasodynamic characteristics of the vortex tube with known geometric dimensions and their comparison with experimental data was carried out. …”
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ANALYTICAL SYNTHESIS OF FORCED PULSE ELECTRONIC DRIVE CONTROL OF A TRACKING SYSTEM by A. S. Abufanas, A. A. Lobaty, Y. F. Yacina

“…Expressions are obtained for the matrix of transitions of the system and the control signal in a vector form.As an example, the electric drive described by the widespread second-order mathematical model is considered to evaluate the efficiency of the proposed method. …”
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Competitiveness of Solar and Wind Power Plants in the Countries of the Commonwealth of Independent States by O. V. Marchenko, S. V. Solomin

“…With such values, they can be competitive without additional measures to stimulate their implementation. Using the mathematical model REM-2 (Renewable Energy Model), energy sources of different types were compared taking into account system effects. …”
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Predictive modeling and optimization of tubular distiller operation using response surface methodology under silver nanomaterial infused PCM thickness variations by W.M. Farouk, Ayman Hoballah, Z.M. Omara, Fadl A. Essa

“…This study introduces a novel mathematical model to predict freshwater production and temperature profiles within a tubular solar still (TSS) under varying conditions. …”
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Numerical Simulation of Thermo-Hydro-Mechanical Coupling of Model Test for Nuclear Waste Disposal by Yu-Ping Wang, Zhe Wang, Fa-Cheng Yi, Lei Fu, Ying Luo

“…In view of the theory of mixtures and mechanics of continuous media, the coupled THM mathematical model of unsaturated buffer materials is established, considering heat transport and multiphase fluid flow. …”
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An improved meta-heuristic algorithm to optimize the fractional-order controller for an industrial manipulator with a parallelogram structure by Nazila Nikdel

“…Therefore, this article pursues two main objectives: 1) controlling the robotic system by presenting a method based on fractional-order calculus so that it can control the system despite its complexity and non-linearity, 2) presenting the meta-heuristic algorithm "Improved Grey Wolf" to optimize the system response.Methodology: First, the mathematical model of the robot is presented based on Lagrange rules, and then the fractional-order calculus is used to design the controller. …”
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Experiments and Computational Research of Biomass Pyrolysis in a Cylindrical Reactor by A. V. Mitrofanov, V. E. Mizonov, S. V. Vasilevich, M. V. Malko

“…The calculated forecasts and experimental data showed a good agreement, which indicates the adequacy of the developed mathematical model of pyrolysis and makes it possible to recommend it for engineering calculations of biomass pyrolysis. …”
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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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Analysis of the high order ADL(<i>p, q</i>) models used to describe connections between time series by T. R. Kalugin, A. K. Kim, D. A. Petrusevich

“…In the paper the mathematical models describing connection between two time series are researched. …”
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Thermodynamic Analysis of a Solar Combined Ejector Absorption Cooling System by Doniazed Sioud, Raoudha Garma, Ahmed Bellagi

“…However, higher driving heat temperatures are required than in the case of conventional single-effect machines. A mathematical model is set up to analyze the optical performance of the linear Fresnel concentrator. …”
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Identification of Unknown Parameters and Orders via Cuckoo Search Oriented Statistically by Differential Evolution for Noncommensurate Fractional-Order Chaotic Systems by Fei Gao, Xue-Jing Lee, Heng-qing Tong, Feng-xia Fei, Hua-ling Zhao

“…Firstly, a novel Gaos’ mathematical model is proposed and analyzed in three submodels, not only for the unknown orders and parameters’ identification but also for systems’ reconstruction of fractional chaos systems with time delays or not. …”
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Analyzing critical success factors using blockchain based framework for intelligent transportation systems by Ahmad Yahya Mutahhar, Tariq Jamil Saifullah Khanzada, Tariq Jamil Saifullah Khanzada, Muhammad Farrukh Shahid

“…This research significantly addresses current system limitations and stimulates wider blockchain usage inside Intelligent Transportation Systems by developing a thorough mathematical model. This paper presents a strategy framework for the successful management of large-scale transportation difficulties with blockchain technology, assuring optimum operations in organizational and environmental contexts.…”
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Multiphysical Models for Hydrogen Production Using NaOH and Stainless Steel Electrodes in Alkaline Electrolysis Cell by Ivan Newen Aquigeh, Merlin Zacharie Ayissi, Dieudonné Bitondo

“…A maximum error of 1.5% was found between the mathematical model and experimental model, indicating that the model is reliable.…”
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Prediction of Type 2 Diabetes Mellitus using a Logistic Regression Model by Olivia Altamirano Guerrero, Ronelsys Martínez Martínez, Jhonny Alejandro Rodríguez Gutiérrez

“…<strong><br />Objective:</strong> to design a mathematical model to predict the type 2 diabetes mellitus probability of existence in patients treated at a hospital in Guayaquil, Ecuador. …”
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Optimizing Cutting Conditions and Prediction of Surface Roughness in Face Milling of AZ61 Using Regression Analysis and Artificial Neural Network by Nabeel H. Alharthi, Sedat Bingol, Adel T. Abbas, Adham E. Ragab, Ehab A. El-Danaf, Hamad F. Alharbi

“…Regression analysis was also used to build a mathematical model representing the surface roughness as a function of the process parameters. …”
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Improvement of Soybean Oil Solvent Extraction through Enzymatic Pretreatment by F. V. Grasso, P. A. Montoya, C. C. Camusso, B. G. Maroto

“…Extractions were carried out in a column, oil content was determined according to time, and a mathematical model was developed to describe the system. …”
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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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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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