Research on the Overtopping-Induced Breaching Mechanism of Tailings Dam and Its Numerical Simulation by Zhao Deng, Shiqiang Wu, Ziwu Fan, Zhikun Yan, Jingxiu Wu

“…Based on the centrifugal test results, considering the special physical and mechanical properties of tailings, a mathematical model for tailings dam breaching is established. …”
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Intelligent analysis of the quality of educational content on statistics of student performance in the learning management system "Scorina" by A. G. Savenko

“…The structure of the developed learning management system "Scorina" and the mechanisms for creating educational content, the learning process, attestation of students and the collection of progress statistics are described. A mathematical model of educational process of learning management system "Scorina", and approach to assessing the knowledge of students are presented.The implementation of functional diagram and the algorithm of the module for the intelligent analysis of the quality of educational content of learning management system "Scorina" is proposed. …”
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Optimal design for parameter estimation in EEG problems in a 3D multilayered domain by H. T. Banks, D. Rubio, N. Saintier, M. I. Troparevsky

“…Many inverse problems consist in selecting best parameter values of a given mathematical model based on fits to measured data. These are usually formulated as optimization problems and the accuracy of their solutions depends not only on the chosen optimization scheme but also on the given data.We consider an electromagnetic interrogation problem, specifically one arising in an electroencephalography (EEG) problem, of finding optimal number and locations for sensors for source identification in a 3D unit sphere from data on its boundary. …”
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Flutter Instability Speeds of Guided Splined Disks: An Experimental and Analytical Investigation by Ahmad Mohammadpanah, Stanley G. Hutton

“…The results show that the mathematical model can predict accurately the flutter instability zones measured in the experimental tests.…”
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Synergistic Optimization Method for URT Network Train Connection Scheme in Peak and Off-Peak Periods by Ruihua Xu, Xuyang Song, Feng Zhou, Fangsheng Wang

“…The method allows trains of different lines to form good connections at transfer stations, which can shorten the waiting time of passengers for transfers and reduce passenger retention. A mathematical model was developed to simulate the interaction between passengers and trains. …”
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Networking Method for the Structure of a Large Modular Deployable Space Antenna by Dake Tian, Xiaodong Fan, Junwei Zhang, Lu Jin, Rongqiang Liu, Yu Zhang

“…On the basis of basic theories of differential geometry, analytical geometry, and robotics, the mathematical model of an envelope circle and that of its center are established. …”
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Contact Characteristics Analysis of the Internal Meshing Gear Transmission Pair with Double Contact Points by Liang Dong, Li Ming, Jiang Peng, Xu Xiangyang, He Zeyin

“…Based on Hertz contact theory, the mathematical model of instantaneous contact ellipse of tooth profiles is established and the equations of contact trajectory are also derived. …”
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Gear Skiving and Tool Design Method for Manufacturing Tangent Quadruple Circular-arc Harmonic Flexsplines by Guo Erkuo, Xu Jia, Hong Yang, Liu Chang, Hu Lele

“…The kinematic model of skiving and the mathematical model of the tangent quadruple circular-arc harmonic flexspline were established. …”
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Multi-Sided Delayed Impulsive Feedback Method for Controlling Chaos and Reducing Loss Ratio in Switched Arrival System with Switching Time Greater than 0 by Ming Chen, Xueshuai Zhu

“…The corresponding mathematical model and switching time are described. In order to be closer to the actual industrial control systems, the switching time is changed from 0 to greater than 0. …”
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Effect of Roundness Error of Inner and Outer Raceway on Rotation Accuracy of Four-point Contact Ball Bearing by Yue Chen, Ming Qiu, Kaiwen Tian, Hui Du, Xu Yang

“…According to the structural characteristics and motion relationship of the four-point contact ball bearing， the mathematical model of the bearing radial runout is constructed，and the program is programmed on Matlab for simulation calculation. …”
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Mixed vaccination strategy for the control of tuberculosis: A case study in China by Siyu Liu, Yong Li, Yingjie Bi, Qingdao Huang

“…This study first presents a mathematical model of TB transmission considering BCG vaccination compartment to investigate the transmission dynamics nowadays. …”
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Influence of Infection Delay on the Covid-19 Pandemic with Vaccination Control: Modeling and Simulation by Rami Raad Saadi, Hassan F. Al-Husseiny

“… In this work, we formulate a mathematical model of the killer COVID-19 pandemic with time delay and some governmental measures that include vaccine subsidies to understand the dynamic behavior of COVID-19. …”
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Numerical Simulation Study on In-Depth Profile Control of Core–Shell Coagulation System Considering the Time-Variation of Permeability by Zhaobo Sun, Shuchun Cao, Gongchang Wang, Xiaofei Jia, Guoqing Ning

“…Considering these two phenomena comprehensively, a new three-dimensional, three-phase, six-component mathematical model that can take into account the time-varying phenomenon of reservoir permeability is proposed for a new kind of in-depth profile control system, namely, the core–shell coagulation system, and an integrated numerical simulation software is developed. …”
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Complexity Analysis of a Mixed Memristive Chaotic Circuit by Xiaolin Ye, Jun Mou, Chunfeng Luo, Feifei Yang, Yinghong Cao

“…In this paper, we design a chaotic circuit with memristors, which consists of two flux-controlled memristors and a charge-controlled memristor, and the dimensionless mathematical model of the circuit was established. Using the conventional dynamic analysis methods, the equilibrium point set and stability of the chaotic system were analyzed, and the distribution of stable and unstable regions corresponding to the memristor initial states was determined. …”
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Lightweight Design of Transmission Gear of an Aircraft Gun Ammunition Box based on SIMP Material Interpolation Model by Guanming Huang, Mingmin Liu, Hongliang Yang, Haiyang Zhang, Yongfeng Fan, Feng Xie, Shengli Ge

“…In order to enhance the performance of fighter， and realize the aim of lightweight design of aircraft gun， taking the transmission gear of a certain aircraft gun ammunition box as the research object， through topological optimization method of material interpolation model based on SIMP（solid isotropic material with realization）， a topological optimization mathematical model for the density of gear structural unit as design variable， minimum flexibility as objective function， the percentage of volume fraction before and after optimization and the structural balance equation as constraint functions is established， the topology optimization of ammunition box transmission gear is studied. …”
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Optimal control of infectious diseases using vaccination and treatment by Maryam Nikbakht

“…Purpose: This paper aims to investigate the proposed mathematical model using the optimal control strategy to prevent the spread of the disease on the model. …”
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Design Limitations of Laboratory Solar Chimney for Engineering Education by Hrvoje Glavaš, Dina Jukić, Tomislav Barić, Luka Šplajt

“…Numerical thermodynamic analysis was carried out in the ANSYS 2022 R1 (22.1) software, and the results were compared with the mathematical model of the Manzanares prototype. The results indicate that there is a geometry limit for which boundary physics overcomes the resultant upward force. …”
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Partial Control of a Continuous Bioreactor: Application to an Anaerobic System for Heavy Metal Removal by M. I. Neria-González, P. A. López-Pérez, R. Aguilar-López

“…Furthermore, a nonlinear controllability analysis was done, which proved the closed-loop instability of the inner or uncontrolled dynamics of the bioreactor. A mathematical model, experimentally corroborated for cadmium removal, was employed as a benchmark for the proposed controller. …”
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Development of vortex compressed air drying devices for ground launch complex systems by A. B. Yakovlev

“…The possibility of using the vortex effect for drying compressed air used in various industrial installations including systems for thermostating ground launch complexes is shown. A mathematical model of the process of reducing the moisture content is presented and a method for calculating the optimal geometric dimensions of the vortex drying device is created. …”
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Buoyancy-driven flow for surface reaction on vertical walls in multilayered open cavities by Nepal Chandra Roy

“…This study analyzes the influences of surface reactions on the natural convective flow, temperature, and oxygen concentration distributions in vertically placed multilayered cavities. A mathematical model for this problem is formulated with proper boundary conditions. …”
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