Theory and Experiment Research of Transmission Efficiency of Split-power Internal Parallel Moving Gear Transmission by Zhao Ziqiang, Yin Xuebin, Wang Wenzhong

“…The test results show that the test results are in good agreement with the theoretical analysis results. The mathematical model of efficiency is accurate and believable. …”
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Probabilistic Multiple Pedestrian Walking Force Model including Pedestrian Inter- and Intrasubject Variabilities by Zandy O. Muhammad, Paul Reynolds

“…A probabilistic walking load model that accounts for inter- and intrasubject variabilities has been developed to generate synthetic vertical load waveforms induced by pedestrians. The mathematical model is based on a comprehensive database of continuously recorded pedestrian walking forces on an instrumented treadmill, having a wide range of walking frequencies. …”
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Reliability analysis of landing gear operation based on improved support vector machine-based decomposed-coordinated by ZHANG Lei, CHEN Junyu, FENG Jun, FENG Yunwen, LIU Lei

“…The improved support vector machine aims to optimize the performance of the limit state function in each sub-mathematical model by applying multi-stage adaptive point position control of hyperparameters. …”
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Effects of the Hot Alignment of a Power Unit on Oil-Whip Instability Phenomena by A. Vania, P. Pennacchi

“…By including these bearing coefficients in a mathematical model of the fully assembled machine, the real part of the eigenvalue associated with the first balance resonance of the generator rotor became positive. …”
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Optimizing Aircraft Operations in Case of Increasing Demand for Limited Airport Capacity by Soner Demirel, Ertan Çınar

“… The purpose of this paper is to minimize the total difference between the requested and assigned departure time of aircraft to enhance the efficiency of using limited airport capacity. The mathematical model was formed by employing mixed integer linear programming. …”
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Critical Length and Collapse of Interlayer in Rock Salt Natural Gas Storage by Yingjie Wang, Jianjun Liu

“…The calculation results of the mathematical model are highly accurate with respect to actual engineering logging data, in general with over 90% of accuracy. …”
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Structural Design and Motion Analysis of Carbon-free Trolleys Based on the RSSR Mechanism by He Long, Zhang Ya, Wang Furong, Han Zifeng, Ji Zhaohui

“…Aimed at the problems of track deviation and lack of reference for debugging during the movement of carbon-free trolleys, the RSSR mechanism is selected as the steering device, and the mathematical model of obstacle avoidance motion of the trolley is established based on the motion characteristics of the spatial four-bar linkage. …”
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Application of Particle Swarm Optimization Algorithm in the Heating System Planning Problem by Rong-Jiang Ma, Nan-Yang Yu, Jun-Yi Hu

“…The proposed mathematical model minimizes the cost of heating system as the objective for a given life cycle time. …”
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Optimization Design of Gear Parameter of a Tri-polar Parallel Gear Pump by Wang Shuangzhen

“…The optimization design of a tri-polar parallel gear pump is carried out by taking the minimum volume of the pump body as the objective function.In the mathematical model,the gear parameters such as modulus,tooth numbers,and thickness are taken as design variables,and the constraint condition is that the tri-polar parallel gear pump can meet the prescribed performance requirements.In the objective function,the volume of pump is replaced by the total volume of 4 mounting holes of addendum circles,which accurately reflects the volume of pump.In the process of solving optimization mathematical model,a new three-dimensional step-by-step search algorithm is proposed according to the characteristic that the formula of the objective function is very complex and the modulus,tooth numbers of gears are discrete variables.Thus an optimization algorithm for the tri-polar parallel gear pump designing is provided,and through an example,the feasibility and effectiveness of the algorithm are verified.…”
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Modelling of Hg Removal from Gaseous Streams and its Fixation in Hydroxyapatite-Based Adsorbents Modified with Copper Sulphide by C.L.M. Camargo, A.G. Oliveira, N.S. Resende, E.C. Biscaia, A.R. Secchi, F.W. Tavares, V.M.M. Salim

“…In this work, a mathematical model of a fixed-bed process for elemental mercury removal from gaseous streams is proposed. …”
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The analysis of cutting forces for hardened steel milling by D. S. Makashin

“…Studies of the full factorial experiment on the processing of steel 14Kh17N2 are carried out using a micro end mill with AlTiN coating. New mathematical models of cutting force and axial force have been developed that are adequately able to predict and optimize the forces acting on the cutting tool. …”
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Effect of Varying Illumination and Temperature on Steady-State and Dynamic Parameters of Dye-Sensitized Solar Cell Using AC Impedance Modeling by Brijesh Tripathi, Pankaj Yadav, Manoj Kumar

“…The steady-state current-voltage curve and dynamic response of a dye-sensitized solar cell (DSSC) is mathematically modeled based on electrical equivalent circuit. …”
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Optimal energy-efficiency beamforming design for SWIPT-enabled sink in sensor cloud based on deep learning by Zhe WANG, Taoshen LI, Lina GE, Guifen ZHANG, Min WU

“…To solve the problems of high complexity and poor real-time performance caused by traditional wireless resource management based on optimization methods, the energy efficiency maximization problem of sink node and its mathematical model were established for SWIPT-enabled sensor-cloud system, then the deep learning method was introduced to realize the solving and online decision-making with lower complexity and higher real-time performance.The mathematical model was transformed into a high-dimensional solvable form, and then a SWIFT-WMMSE algorithm with iterated forms was designed to solve optimal beamforming vector.The convergence of SWIPT-WMMSE algorithm was proved.Then, based on error propagation of DNN approximation, the scale design criteria for the DNN was deduced, and the approximation was realized through DNN training.Finally, the simulation results verify the effectiveness of SWIPT-WMMSE and DNN algorithm, as well as the approximation effect of DNN and its system performance gains.…”
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Investigation of the matematical model of the multimensional automatic control system by Jonas Rimas

“… The mathematical model of the mutual synchronization system composed of n = 4p (p ∈ N) joined into a ring oscillators is investigated. …”
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Huntley Complement while Determining Area of Rational Pressurized Ventilation Usage by Ya. A. Gusentsova

“…An optimum utilization criterion for pressurized  ventilation and air heating systems of public and office buildings has been obtained on the basis of generalized mathematical model of thermal and aerodynamic characteristics of air heating and ventilation systems.…”
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MATHEMATICAL FORMULATION OF PLASTIC CHARACTERISTICS OF WIRE OF STEEL 70 AT HIGH-SPEED WIRE DRAWING by Yu. L. Bobarikin, S. V. Avsejkov

“…The carried out numerical experiments subject to initial and boundary conditions indicate that mathematical model of elastic-plastic characteristics of steel 90 can be used for numerical calculations of wire drawing routes for this grade of steel.…”
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Establishment of Optimum Ecological System for Monitoring Boiler Units by V. I. Nazarov

“…A mathematical model has been proposed for ecological monitoring of a boiler unit. …”
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EFFECT OF THE ALLOY COOLING RATE ON THE FORMATION OF CRACKS IN CASTINGS by M. A. Ivanov, V. I. Shevtsov

“…For the first time the theoretical mechanism of calculation of tension in crystallizing castings taking into account its cooling speed is presented. The mathematical model is developed and the chart of tension while crystallizing of the steel 30HNMFL is built.…”
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Investigation of the matematical model of the multimensional automatic control system with delays by Jonas Rimas

“… The mathematical model of the mutual synchronisation system composed of n = 2p + 1  (p ∈ N) joined into a chain oscillators is investigated. …”
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An Extended Analytical Approach to Evaluating Monotonic 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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