Prediction of Al2O3 leaching recovery in the Bayer process using statistical multilinear regresion analysis by Đurić I., Đorđević P., Mihajlović I., Nikolić Đ., Živković Ž.

“…Mathematical model is defined using the stepwise MLRA method, with R2 = 0.764 and significant statistical reliability - VIF<2 and p<0.05, on the one-year statistical sample. …”
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Trajectory Optimization of Eight-link Mechanism for Legs of Walking Bio-robot by Zhang Chenxi, Wu Shengquan, He Yong, Fu Chunping

“…Aiming at an eight-link mechanism of bio-robot legs,the mathematical model of optimal design is established by studying the motion trajectory of the mechanism,which is in order to improve the walking speed,stability and ability to overcome obstacles of robot. …”
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A Study of a Diseased Prey-Predator Model with Refuge in Prey and Harvesting from Predator by Ahmed Sami Abdulghafour, Raid Kamel Naji

“…In this paper, a mathematical model of a prey-predator system with infectious disease in the prey population is proposed and studied. …”
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Optimization Design for Gear Pair Transmission with Considering Torsional Stiffness Constraint by Han Lin, Xu Lixin

“…Taking the gear pair transmission chain as study object,considering the mesh stiffness of gear pair & torsional stiffness of shaft,a general mathematical model for torsional stiffness of gear pair transmission chain is established. …”
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Information system for ontological modelling the subject areas by M. N. Bukharov

“…The goal is to develop a mathematical model of ontology and the information system for ontological modeling. …”
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Wave processes in alternating current traction network depending on parameters of power supply system by T. V. Kovaleva, O. O. Komyakova, N. V. Pashkova

“…The article considers a mathematical model of the AC traction power supply system taking into account stationary and nonstationary wave processes. …”
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Dynamics Analysis of a Special Differential Gear Transmission System by Kong Guang, Meng Guangyao, Wang Zuojuan, Huang Juxin, Li Zhongzheng

“…Then,considering the road to the wheel load torque in the process of the corners to be external incentive conditions of system,the affect of internal incentive factors on vibration characteristics of this differential gear transmission system is analyzed and the dynamics mathematical model is built. At last,by calculating this mathematical model and natural frequency,the phase path analysis is carried out and the characteristic parameters of this gear transmission system are optimized. …”
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Research on the Multilayer Free Damping Structure Design by Jie Meng, Dagang Sun

“…Based on three specific damping structures, the mathematical model is verified through ABAQUS. With the given structural loss factor (η≥2) and the layer number (n=3,4,5,6), 34 kinds of multilayer free damping structures are then presented. …”
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Study on the High Precision Manufacturing of the Hourglass Worm Drive Pair in the Solar Tracking System by Chen Yan, Gong Yuxia

“…The results show that the mathematical model and the 3D model are correct,as well as the manufacture method is feasible.…”
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Study on the Motion Characteristic of Carbon-free Car by Wang Chensheng, Su Fang, Fan Long, Zhang Shaowu

“…To study the motion characteristics of S-typed trajectory carbon-free car,and thus to optimize the design and adjustment.Through using the steering link mechanism to achieve carbon-free car S-type trajectory motion characteristic of the steering mechanism,the mathematical model of the relationship between the crank angle and the angle of the front wheels is built and its steering mechanism characteristics simulation is carried out by using MATLAB,the relation diagram of crank angle and the front corner of the is obtained.The mathematical model of the car trajectory is established,the parameters influence on the motion trajectory and their influence law are obtained,the relevant amount of the trajectory amplitude value is found and trajectory motion simulation of the car is carried out by using MATLAB.Eventually,the optimal cosine trajectory with the pile of 0.9 m,the amplitude of 0.095 m is got,the crank length is 21 mm at this time,a theoretical guidance for S-type carbon-free car design and adjustment is provided.…”
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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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Mathematical analysis and numerical simulation of a model of morphogenesis by Ana I. Muñoz, José Ignacio Tello

“…We consider a simple mathematical model of distribution of morphogens (signaling molecules responsible for the differentiation of cells and the creation of tissue patterns). …”
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Wind Shear Target Echo Modeling and Simulation by Xiaoyang Liu, Chao Liu, Wanping Liu

“…In order to analyze the influence of wind shear on the efficiency of the airplane, this paper proposes a mathematical model of point target rain echo and weather target signal echo based on Doppler effect. …”
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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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Meshing Theory Analysis of Parallel Inclined Double Roller Enveloping Hourglass Worm Drive by Honghui Liao, Xudong Wang, Yan Qi, Zaixin Liu

“…According to the principle of single roller enveloping worm drive and spatial meshing theory， the basic mathematical model of parallel inclined double roller enveloping hourglass worm drive is constructed. …”
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Impact Force Magnitude Analysis of an Impact Pendulum Suspended in a Vibrating Structure by R.R. Aguiar, H.I. Weber

“…Experimental data are used to validate the mathematical model. The mathematical model allows a detailed nonlinear analysis, showing the rich response of the system, which includes dynamical jumps, bifurcations and chaos. …”
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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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Estimation level of public welfare on the basis of methods of intellectual analysis by S. Kozlovskyi, L. Nikolenko, O. Peresada, O. Pokhyliuk, O. Yatchuk, N. Bolgarova, O. Kulhanik

“…The aim of the work is to develop the mathematical model for measuring the welfare of Ukraine using methods of intellectual analysis, namely, the theory of fuzzy sets. …”
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Investigation of Heat and Mass Transfer in the Process of Fuel Preparation from Biomass Particles with High Moisture by A. V. Mitrofanov, O. B. Kolibaba, R. N. Gabitov, D. A. Dolinin, S. V. Vasilevich

“…In the course of the study, the following tasks were solved: a numerical method was developed for describing the processes of internal and external heat and mass transfer problems using an explicit difference approximation of differential equations of heat and mass transfer; parametric identification of the proposed one-dimensional mathematical model was performed using empirical dependencies known from literature sources; empirical verification of the proposed mathematical model was carried out by comparing the calculated forecasts obtained with the results of their own field experiments. …”
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