A Novel Energy Recovery System for Parallel Hybrid Hydraulic Excavator by Wei Li, Baoyu Cao, Zhencai Zhu, Guoan Chen

“…The natural frequency of the proposed energy recovery system is calculated based on the mathematical models. Meanwhile, the simulation models of the proposed system and a conventional energy recovery system are built by AMESim software. …”
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Design of Flight Control System for a Novel Tilt-Rotor UAV by Zaibin Chen, Hongguang Jia

“…Then, the detailed nonlinear mathematical model is established, and the parameters are acquired from designed experiments and numerical analyses. …”
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The analysis of losses in protected and non-insulated wires in stationary modes, taking into account weather conditions by E. V. Petrova, S. S. Girshin, V. A. Krivolapov, K. V. Khatsevskiy, V. N. Goryunov, V. M. Trotsenko

“…On the other hand, the presence of insulation requires the development of more complex mathematical models to adequately describe their behavior and study the characteristics of new wires during operation. …”
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Scattered Radiation Emission Imaging: Principles and Applications by M. K. Nguyen, T. T. Truong, M. Morvidone, H. Zaidi

“…Image formation is based on the mathematical concept of compounded conical projection. …”
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On the use of kolmogorov–arnold networks for adapting wind numerical weather forecasts with explainability and interpretability: application to madeira international airport by Décio Alves, Fábio Mendonça, Sheikh Shanawaz Mostafa, Fernando Morgado-Dias

“…A key outcome of this study comes from the model’s ability to generate mathematical formulas that provide insights into the physical and mathematical dynamics influencing local wind patterns and improve the transparency, explainability, and interpretability of the employed machine learning models for atmosphere modeling.…”
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The assembly sequences modeling using graph incidence matrix by I. A. Volkov, D. D. Primak, V. B. Masyagin, R. L. Artykh

“…This approach corresponds to solving the problem in mathematical form. The analysis of the features of mathematical modeling of the construction and the assembly process is performed. …”
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Effect of Low Ambient Pressure on Spray Cone Angle of Pressure Swirl Atomizer by Zhengyan Guo, Yi Jin, Kai Zhang, Kanghong Yao, Yunbiao Wang, Di Wu, Xiaomin He, Mei Zheng

“…The experimental results show that the spray cone angle is expected to increase with the ambient pressure decrease; meanwhile, mathematical results agree well with this trend.…”
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Heat Exchange and Thermal Modes of Modern Ring Furnaces by V. I. Timoshpolsky, M. L. German, S. M. Kabishov, S. V. Korneev

“…The paper considers an accumulated experience concerning investigation of heat exchange and thermal modes of ring furnaces applied for heating simulation. Physical and mathematical model and methodology for theoretical investigation of round billet heating in the ring furnace are proposed in the paper.…”
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An Analytical Approach to Evaluating Nonmonotonic Functions of Fuzzy Numbers by Arthur Seibel, Josef Schlattmann

“…The approach is based on a parametric α-cut representation of fuzzy numbers and allows for the inclusion of parameter uncertainties into mathematical models.…”
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DEVELOPMENT OF SCIENTIFIC AND METHODICAL POSITIONS ON THE RANKING OF COMMODITY MARKETS OF PRODUCTION OF INDUSTRIAL ENTERPRISES by S. Logvinov

“…Particular attention is paid to the development of economic and mathematical models to justify the selection of management of industrial enterprise sales markets.…”
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CALCULATION OF GROWTH OF SKELETON DENDRITES AT ALLOYS SOLIDIFICATION USING THEORY OF FRACTALS by Ju. A. Samojlovich, V. I. Timoshpolslkij

“…The possibility of determination of dendritic crystals configuration is shown, what in combination with complex of equations of unsteady-state heat conduction and convective diffusion makes universal physical-mathematical basis, allowing to forecast the development of time and area of complex processes.…”
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Structure of Silicon Wafers Planar Surface before and after Rapid Thermal Treatment by U. A. Pilipenko, A. A. Sergeichik, D. V. Shestovski, V. A. Solodukha

“…Hence it was impossible to suggest a model of solid phase recrystallization and to present its mathematical description. The goals of the work were as follows: – identify of silicon crystal lattice state in surface layer of 30 nm thickness before and after rapid thermal treatment by backward reflected electrons diffraction method using raw Si wafers surface; – analysis of contamination element composition on the surface of raw silicon before and after rapid thermal treatment; – model development for solid phase recrystallization of surface disturbed layer after rapid thermal treatment and its mathematical description. …”
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Modeling automatic horizontation system of steep-sloping mobile machine with hydraulic sensor roll by V. I. Grishchenko, A. A. Tumakov, M. S. Poleshkin, M. S. Kilina, D. D. Dymochkin

“…A generalized mathematical model of the leveling system with a submodel of the control roll sensor has been developed. …”
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Path selection algorithms for connecting wireless base stations to power centers in a mine by Denis A. Migov, Anastaiya N. Yurgenson

“…Practical relevance. The mathematical problem stated and the mathematical methods make it possible to find minimum cost routes for connecting wireless base stations by multi-core cables to power sources. …”
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Investigation of Heat and Mass Transfer in the Process of Fuel Preparation from Biomass Particles with High Moisture by A. V. Mitrofanov, O. B. Kolibaba, R. N. Gabitov, D. A. Dolinin, S. V. Vasilevich

“…In the course of the study, the following tasks were solved: a numerical method was developed for describing the processes of internal and external heat and mass transfer problems using an explicit difference approximation of differential equations of heat and mass transfer; parametric identification of the proposed one-dimensional mathematical model was performed using empirical dependencies known from literature sources; empirical verification of the proposed mathematical model was carried out by comparing the calculated forecasts obtained with the results of their own field experiments. …”
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Multiple Influence Factor Sensitivity Analysis and Height Prediction of Water-Conducting Fracture Zone by Xiaobin Li, Quansheng Li, Xuhui Xu, Yongqiang Zhao, Peng Li

“…By introducing sensitivity coefficient, a sensitivity quantification mathematical model was established, and sensitivity ranking was obtained. …”
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Parallel algorithms in image filtering by Raimondas Čiegis, Aleksandr Jakušev

“… In this paper, image-filtering parallelization is described. A description of mathematical problem is given, and general parallelization tools suitable in this case are overviewed. …”
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COMPUTER HYDRODYNAMICS OF THE MELT AND POWDER CARBONIC MATERIALS MIXING IN BOWL by A. N. Chichko, N. V. Andrianov, S. V. erletskij, D. M. Kukuj, V. F. Sobolev, Ju. V. Jatskevich, O. I. Chichko

“…The mathematical mechanism for modeling of the mixing processes of melts and powder materials, assumed as a basis of the out-of-furnace steel processing, is presented. …”
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A Model of ESG-Transparency Index in Corporate Reporting by R. P. Bulyga, M. V. Melnik, I. V. Safonova, V. B. Gisin

“…By utilizing existing mathematical tools, a business value management model is constructed, incorporating a balanced system of "quantity," "quality," and "reliability" factors present in the ESG information disclosed in public company reports.The research methodology adopts a comprehensive approach, combining logical and structural analysis, mathematical modeling, and content analysis methods. …”
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Statistical analysis on avoidance of palindromic sequences in genomes of microorganisms by Tomas Rekašius, Albertas Timinskas

“… The statistical analysis of oligonucleotide combinations and mathematical modelling of outgoing processes is very successfully used in the research. …”
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