Computation and Analysis of High Rocky Slope Safety in a Water Conservancy Project by Meng Yang, Huaizhi Su, Xiaoqun Yan

“…An integrated method, covering the actual monitoring analysis, practical geological model, and theoretical mathematical simulation model, is systematically proposed and successfully applied. …”
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Investigation of Mechanical Properties of FDM-Processed Acacia concinna–Filled Polylactic Acid Filament by S. Muthu Natarajan, S. Senthil, P. Narayanasamy

“…To estimate the strength of PLA/AC composites, mathematical models were developed. In addition, the fractured specimen was examined using scanning electron microscopy to determine the mechanism of fracture. …”
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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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Assessment of Waterlogging Risk in the Deep Foundation Pit Projects Based on Projection Pursuit Model by Han Wu, Junwu Wang

“…Then, a projection pursuit model optimized by particle swarm optimization is leveraged to determine the weights of the indicators and the best projection values of evaluation objects, and the mathematical function between the best projection values and the risk levels is constructed by an interpolation algorithm. …”
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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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Visualization of solving problems with sequences of numbers: Statistical comparison of the two methods by Mihajlov-Carević Miroslava, Milojević Nataša, Rešić Sead

“…Exploring the quality of maths teaching in primary school, we found students' knowledge of using modern technologies but also the lack of visual-logical approach in solving mathematical problems. In this paper, we show how the establishment of figurative numbers and selected examples that demonstrate the observation of legality, can direct students to a visual-logical approach to solving tasks with sets of numbers. …”
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Bench Testing and Modeling Analysis of Optimum Shifting Point of HMCVT by Yu Qian, Zhun Cheng, Zhixiong Lu

“…To decrease shift impact on agricultural tractors with HMCVT (Hydromechanical Continuously Variable Transmission) and find the best working point, the following methods are proposed in this paper: firstly, conducting all-factor method and response surface method (RSM) to design and carry out bench test of shift impact; secondly, using the basic linear fitting, RSM, and stepwise regression analysis to establish comprehensive mathematical models and selecting models with high prediction accuracy; thirdly, putting forward the method of determining the weight of variance to match parameters of three quality evaluation indexes with inconsistent correlation; finally, establishing the total shift quality evaluation index and obtaining the optimal shift working point. …”
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Insights on Climate-Driven Fluctuations of Cave 222Rn and CO2 Concentrations Using Statistical and Wavelet Analyses by Concepcion Pla, Angel Fernandez-Cortes, Soledad Cuezva, Juan Jose Galiana-Merino, Juan Carlos Cañaveras, Sergio Sanchez-Moral, David Benavente

“…For this purpose, we combined a set of mathematical methods that included a statistical and wavelet analysis of a 6-year time series in Rull Cave (Spain). …”
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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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Distribution Law of In Situ Stress and Its Engineering Application in Gateroad Maintenance: A Case Study by Guangchao Zhang, You Li, Guangzhe Tao, Miao Chen, Ruihua Xu, Hanqing Guo, Devkota Bidit, Guanglei Zhou, Zhi Qu, Hao Zuo

“…In this study, the stress relief method of hollow inclusion and mathematical-statistical analysis are used to study the in situ stress distribution law of the Guotun coal mine, and the optimization strategy of roadway support is put forward. …”
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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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Filters in 2D and 3D Cardiac SPECT Image Processing by Maria Lyra, Agapi Ploussi, Maritina Rouchota, Stella Synefia

“…Image filtering, a mathematical processing, compensates for loss of detail in an image while reducing image noise, and it can improve the image resolution and limit the degradation of the image. …”
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Stagnation and renewable growth of enterprises: an empirical analysis by sectors of the Russian economy by V. V. Spitsin, V. A. Leonova, L. Yu. Spitsina, A. D. Bragin

“…The research methods are the calculation of economic coefficients and the identification of differences between them using methods of mathematical statistics. It was found that in an unfavorable external environment, significant proportion of Russian enterprises showed signs of stagnation or drop in sales. …”
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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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A novel predictive model for estimation of cell voltage in electrochemical recovery of copper from brass: Application of gene expression programming by Ghasemi S., Vaghar S., Pourzafar M., Dehghani H., Heidarpour A.

“…The modeling results confirmed that the proposed model is a powerful tool in designing a mathematical equation between the parameters of electrochemical dissolution and the voltage induced by variation of these parameters.…”
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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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A Wet-Stock Management and Leak Detection System for Fuel Tanks by Ayşe Nur Dalman, Murat Oluş Özbek

“…This goal is achieved through obtaining the mathematical models for simple cylindrical tank that convert the measured liquid height to accurate liquid volume by taking into account the tank deformations. …”
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A New Asymmetric Fully Homomorphic Encryption Scheme for Cloud Banking Data by Zana Thalage Omar, Fadhil Salman Abed, Shaimaa Khamees Ahmed

“…Our current research provides a new algorithm for a publicly-keyed encryption system to keep bank data from tampering and theft when stored on the cloud computing platform, and our new system achieves fully Homomorphic Encryption, which allows mathematical operations to be performed on the encrypted text without the need for the original text. …”
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Diabetes Technology: Markers, Monitoring, Assessment, and Control of Blood Glucose Fluctuations in Diabetes by Boris P. Kovatchev

“…Diabetes technology has progressed remarkably over the past 50 years—a progress that includes the development of markers for diabetes control, sophisticated monitoring techniques, mathematical models, assessment procedures, and control algorithms. …”
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