Multi-criteria path rationalization in the conditions of multi-type passenger transport systems by V. V. Egorov

“…The author carried out the research by means of mathematical modeling of the transport system in the form of its deterministic graph model. …”
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Kinetics and Equilibrium Studies on the Sorption of Manganese(II) and Nickel(II) onto Kaolinite and Bentonite by B. Sathyanarayana, K. Seshaiah

“…Freundlich and Langmuir's mathematical models were used to describe batch adsorption. …”
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Development of a Five-Degree-of-Freedom Seated Human Model and Parametric Studies for Its Vibrational Characteristics by Jong-Jin Bae, Namcheol Kang

“…Five-degree-of-freedom nonlinear equations of motion for a human model were derived, and human parameters such as spring constants and damping coefficients were extracted using a three-step optimization processes that applied the experimental data to the mathematical human model. The natural frequencies and mode shapes of the linearized model were also calculated. …”
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Dynamics Analysis and Chaos Control of Multi-nonlinear Coupling System for PMSM-2R Mechanism by Cao Shulei Xie Jin Ding Weigao

“…Based on bond graph, a modern modeling method for multi-energy domain coupling system, a mathematical model of multi-nonlinear coupling system of PMSM-2R mechanism is established and solved by Runge-Kutta method. …”
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VIBRATION MODAL ANALYSIS AND RESEARCH OF CANTILEVER BEAM BASED ON POLY IIR METHOD by ZHANG Min, ZHANG Yi, HOU YaoHua, MA GuangXuan

“…Firstly,the one dimensional vibration theory is used to acquire the beam vibration mathematical model. Following to use Bernoulli Euler beam theory to calculate the beam vibration differential equation,in addition to the beam set specific boundary constraint conditions to calculate each order modal parameters,using the Workbench beam finite element simulation analysis for the first five order natural frequency and vibration mode. …”
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Can Thrifty Gene(s) or Predictive Fetal Programming for Thriftiness Lead to Obesity? by Ulfat Baig, Prajakta Belsare, Milind Watve, Maithili Jog

“…We examine here, with the help of a mathematical model, the conditions for evolution of thrifty genes or fetal programming for thriftiness. …”
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Dynamic Modeling and Analysis of Demagnetizing Rotor of Permanent Magnet Synchronous Motor by Bifeng Zhou, Guoning Tang, Yiping Luo

“…Lastly, the accuracy of the mathematical model of UMP under uniform demagnetization and eccentricity is confirmed by the mutual corroboration of Maxwell simulation and MATLAB calculation; and based on the dynamics model, the dynamic characteristics of the rotor system under different degrees of uniform demagnetization are studied. …”
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Multiple Linear Regression Model Based on Neural Network and Its Application in the MBR Simulation by Chunqing Li, Zixiang Yang, Yiquan Deng, Tao Wang

“…In order to compensate for the defects, for example, long test period, high cost, invisible equipment seal, and so forth, on the basis of conducting in-depth study of the mathematical model of the MBR, combining with neural network theory, this paper proposed a three-dimensional simulation system for MBR wastewater treatment, with fast speed, high efficiency, and good visualization. …”
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Paging and Location Management in IEEE 802.16j Multihop Relay Network by Kuan-Po Lin, Hung-Yu Wei

“…In this work, we formulate the mathematical model to evaluate the performance of the proposed paging scheme. …”
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Research on Attitude Measurement Method of Special Aircraft Using Geomagnetic Sensor/Gyroscope Based on UKF by Zhang Ping-an, Wang Wei, Gao Min, Wang Yi

“…Based on the output information of the three-axis geomagnetic sensor and three-axis gyroscope, a mathematical model for measuring the flight attitude information of special aircraft is established, and the flight attitude of the special aircraft is calculated in real time. …”
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Design of Coupling Coil Parameters for Wireless Charging Tram Based on Electromagnetic Safety by Sanmu Xiu, Wenmei Hao, Ying Zhou, Fengyu Leng

“…Aiming at the problem of electromagnetic radiation, a mathematical model with minimum electromagnetic radiation as the target and system parameters as the constraint condition is established. …”
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Design of multi-key encryption method by Yuqing ZHONG, Hao WANG, Zebing LIN, Min WANG, Liye CHEN

“…In order to improve the security in the process of information transmission,the current encryption methods were studied,and the research status was reported which increased the security of encryption by processing the key.According to the principle of segmenting and grouping data in the process of sending and encrypting,a method of multi-key encryption was designed:the segmenting key group and grouping key group were generated by the source key and random number,and the corresponding key was selected for each segmented and grouped data by its sequence number according to the matching algorithm.This method realized the encryption of multi-key in the process of information transmission.Finally,on the one hand,MATLAB was used to test and verify the encryption efficiency of this method.On the other hand,the security of this method was analyzed from the theoretical and mathematical perspective,comparing with the traditional method.It is concluded that this method can increase the security of the traditional method without too much cost much cost.…”
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Five-Phase Modular External Rotor PM Machines with Different Rotor Poles: A Comparative Simulation Study by A. S. Abdel-Khalik

“…A simulation study is carried out using finite element analysis to compare the performance of the three machines in terms of machine torque density, ripple torque, core loss, and machine efficiency. A mathematical model based on the conventional-phase-model approach is also used for the comparative study. …”
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Downlink outage probability analysis of distributed MIMO systems over a composite fading channel by Wen-jie PENG, Yue-heng LI, Mei-yan JU, Ping HUANG, Guo-ping TAN

“…Next, an approxi-mate analytical expression of average downlink outage probability of the system with arbitrary MS distribution was de-rived through using mathematical methods such as moment generating function, Gauss-Hermite integral, composite Simpson's rule and so on. …”
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Design and Implementation of a Novel Intelligent Strategy for the Permanent Magnet Synchronous Motor Emulation by Hamed Zeinoddini-Meymand, Salah Kamel, Baseem Khan

“…In this paper, an intelligent neural network-based controller is designed and implemented to control the speed of a permanent magnet synchronous motor (PMSM). First, the exact mathematical model of PMSM is presented, and then, by designing a controller, we apply the wind turbine emulation challenges. …”
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Research on Deviation Analysis and Proportional Correction Method for Face Gear Tooth Turning by Ren Minghui, Wei Bingyang, Deng Xiaozhong, Han Zhengyang

“…Based on the mathematical model of gear turning cutters and face gears, a tooth surface deviation model for gear turning is established using gear shaping as the theoretical tooth surface. …”
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Influence of Speed and Load on Meshing Impact of Spiral Bevel Gear by Zhai Xiangyi, Yang Jianjun, Hu Xinfang, Zhang Hua

“…In order to improve the smoothness of the transmission process of spiral bevel gears, the influence of speed and load on meshing impact in the transmission process is clarified. Firstly, the mathematic model of meshing impact of spiral bevel gear is established, and the force analysis of driven wheel is carried out. …”
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Parameter Identification and Adaptive Control of Uncertain Goodwin Oscillator Networks with Disturbances by Jianbao Zhang, Wenyin Zhang, Chengdong Yang, Haifeng Wang, Jianlong Qiu, Fawaz Alsaadi

“…All the theoretical results are proved through strict mathematical deduction based on Lyapunov stability theory, and a numerical example is also carried out to illustrate the effectiveness.…”
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The Study of a Battery Energy Storage System Based on the Hexagonal Modular Multilevel Direct AC/AC Converter (Hexverter) by Chong Zhang, Daozhuo Jiang, Xuan Zhang, Jiaxi Chen, Chuang Ruan, Yiqiao Liang

“…First, the system structure and the operating principle of the hexagonal multilevel converter, including the branch voltage and the power, are analyzed and simulated, respectively. Then, the mathematical model of the energy storage submodule consisting of the battery energy storage unit and H-bridge submodule cell is developed in PSCAD/EMTDC software. …”
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Study on Measurement and Error Processing Method of Spiral Bevel Gear based on Three-dimensional Scanning Probe by Weiqing Zhang, Chunlin Pi, Xiaodong Guo

“…Furthermore, according to the characteristics of three-dimensional scanning probe, the mathematical expression is deduced to analyze and process the data of tooth form and tooth pitch measurement points, and the tooth form and tooth pitch deviation are obtained. …”
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