Factors Controlling the Hydraulic Fracture Trajectory in Unconventional Reservoirs by Peng Zheng, Erhu Liu, Desheng Zhou, Xinwei Du, Zhongjun Ma

“…Based on the boundary element method, we established a mathematical model to study the factors controlling the morphology of hydraulic fracture. …”
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A Three-Phase Bidirectional Grid-Connected AC/DC Converter for V2G Applications by Jingang Han, Xiong Zhou, Song Lu, Pinxuan Zhao

“…Firstly, the configuration of V2G systems is introduced, and the mathematical model of the AC/DC converter is built. Then, for bidirectional AC/DC converters, the grid voltage feedforward decoupling scheme is applied, and the analysis of PI control strategy is proposed and the controller is designed. …”
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Minimizing Delay and Power Consumption at the Edge by Erol Gelenbe

“…These results are obtained with a mathematical model of a multiple-server edge system that is managed by a task distribution platform, whose equations are derived and solved using methods from stochastic processes. …”
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Investigation of properties of system of automatic control of liquid-propellant rocket propulsion system with integrating regulator by I. A. Kyzmenko, A. B. Yakovlev

“…The final equation of the mathematical model of the system operation is proposed, which allows to reveal the main regularities of the influence on the static error and the static accuracy of the external action and the command value. …”
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Simultaneously Verifying the Original Region of Green and Roasted Coffee Beans by Stable Isotopes and Elements Combined with Random Forest by Ling Tian, Yuanyuan Guo, Ang Zhang, Hua Zhong

“…Inclusion of this mathematical model for simultaneously verifying the original region of green and roasted coffee beans had powerful distinguishing capability and which will not be influenced by fractionation of hydrogen (2H) and variation of element contents during the roasted process.…”
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MULTI-OBJECTIVE RELIABILITY OPTIMIZATION DESIGN OF BOGIE FRAME BASED ON GA WEIGHTED NETWORK by WU GaoFeng, WU YaWen, ZHI PengPeng, LI YunQuan

“…Furthermore, using mathematical model to express BP neural network. On this basis, four kinds of weight coefficients are introduced. …”
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Optimum Scheduling the Electric Distribution Substations with a Case Study: An Integer Gaining-Sharing Knowledge-Based Metaheuristic Algorithm by Said Ali Hassan, Khalid Alnowibet, Prachi Agrawal, Ali Wagdy Mohamed

“…To solve the introduced mathematical model, a novel recent gaining sharing knowledge-based algorithm, named GSK, has been used. …”
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Investigating the link between a layer thickness and surface relief depth in an azo poly(ether imide) by Mateusz Nieborek, Dariusz Szmigiel, Paweł Komorowski, Agnieszka Siemion, Jolanta Konieczkowska, Ewa Schab-Balcerzak, Anna Kozanecka-Szmigiel

“…We proposed the mathematical model for the relief buildup process under irradiation and validated the topographic data by their Fourier analysis related to optical measurements of the grating diffraction efficiencies. …”
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Study on Temperature Rise Characteristics of Grease Lubricated Thrust Angular Contact Ball Bearings Under Complex Working Conditions by Shijie Wang, Pengchang Jiang, Feng Liu, Guixiu Luo, Zhanli Zhang

“…The temperature rise characteristics of the grease lubricated thrust angular contact ball bearings under complex working conditions are studied； a mathematical model of friction heating rate of thrust angular contact ball bearings is established； based on heat transfer theory， the heat transfer mode of spindle-bearing-bearing block system is analyzed， the temperature rise model of bearing is established and the rationality of the model is verified by experiments. …”
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Analysis of properties of inertia regulator of thrust control system of liquid rocket engine by M. M. Dron, A. B. Yakovlev

“…The article presents a mathematical model of a controller with an inertial booster of a liquid-propellant rocket engine, identifies parameters and values that affect its accuracy, and considers measures to reduce static error…”
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Towards Analysis and Optimization of Electrospun PVP (Polyvinylpyrrolidone) Nanofibers by Utkarsh, Hussien Hegab, Muhammad Tariq, Nabeel Ahmed Syed, Ghaus Rizvi, Remon Pop-Iliev

“…Furthermore, a mathematical model was generated using response surface methodology (RSM) to model the electrospinning process. …”
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Study on Dynamics of Hydraulic Control System for Automatic Loading and Unloading of Drill Pipe of Geological Drilling Rig by Zhijian Liu, Yunlong Chen, Hailong Ruan

“…The simulation model verifies the mathematical model. It is concluded that the maximum transient force of steel wire rope is caused by the elastic coefficient K of steel wire rope, but the magnitude is independent of K. …”
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Dynamic Modeling and CAE Cosimulation Method for Heavy-Duty Concrete Spreader by Shiying Zhang, Ke Zhang, Bo Song, Wenda Yu, Dong Li

“…This paper presents the dynamic model of heavy-duty concrete spreader with liquid-solid rigid-flexible coupling by means of mathematical modeling and CAE cosimulation. The mathematical method of liquid-solid dynamic model of heavy-duty concrete spreader is described. …”
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The Detection of Soybean Bacterial Blight Based on Polarization Spectral Imaging Techniques by Jia Yi, Huilin Jiang, Yong Tan

“…Therefore, this paper proposes the detection of the soybean bacterial blight with the polarization spectroscopic imaging method, derived from the detection principle and mathematical model of polarization bidirectional reflection distribution function on the basis of the Stokes vector analysis method. …”
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A Novel Optimization of Plug-In Electric Vehicles Charging and Discharging Behaviors in Electrical Distribution Grid by Haiming Fu, Yinghua Han, Jinkuan Wang, Qiang Zhao

“…Considering the constraints on the power transportation of branch, in the second phase, we built a mathematical model to maximize the benefit of both power grid and PEV owners. …”
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Method and system development of external target designation with target indication for armoured weapons samples by V. I. Kirnos, A. V. Zubar’, I. V. Kunaev

“…The peculiarity of this method is the use of a mathematical model of a digital video camera to describe the optical-electronic channels of modern sights of armored weapons.…”
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Numerical Simulation of Low-Permeability Reservoirs with considering the Dynamic Boundary Layer Effect by Chuanzhi Cui, Yingfei Sui, Xiangzhi Cheng, Yinzhu Ye, Zhen Wang

“…On this basis, the mathematical model of oil-water two-phase flow which involves influence of the boundary layer was constructed, and the comparative analysis of the development effect is performed. …”
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A Model for Vehicle Routing Problem under Returns and Emission Consideration in B2C E-Commerce Logistics by Sedat Belbağ

“…This study addressed a mixed-integer linear programming model for a vehicle routing problem under returns and emission considerations in B2C e-commerce logistics.Methodology: This study proposes a mathematical model to solve a variant of the vehicle routing problem. …”
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Optimum Control for Nonlinear Dynamic Radial Deformation of Turbine Casing with Time-Varying LSSVM by Cheng-Wei Fei, Guang-Chen Bai, Wen-Zhong Tang, Yatsze Choy

“…First the T-LSSVM method was proposed and its mathematical model was established. And then the nonlinear dynamic optimal control model of casing radial deformation was constructed with T-LSSVM. …”
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Compressed Sensing-Based Order Analysis for Blade Tip Timing Signals Measured at Varying Rotational Speed by Suiyu Chen, Yongmin Yang, Haifeng Hu, Fengjiao Guan, Guoji Shen, Faming Yang

“…Its feasibility comes from the sparsity of BTT vibration signals in the order domain. The mathematical model for the proposed method was built, and the optimizing principles for sensor number and sensor arrangement were given. …”
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