Heating Calculation for Multi-Layer Bodies by R. I. Yesman

“…The paper presents a mathematical model and numerical solution of a problem in 2D-heating of multi-layer bodies. работе приведена математическая модель и численное решение задачи в двумерной постановке нагрева  2D –heating многослойных тел. …”
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FINITE ELEMENT MODELING OF THIN CIRCULAR SANDWICH PLATES DEFLECTION by K. S. Kurachka

“…A mathematical model of a thin circular sandwich plate being under the vertical load is proposed. …”
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Digital Modeling of ZA-type Dual-lead Worm by Hu Pingguo, Ma Chaofeng, Liu Kai, Cui Yahui

“…The geometrical characteristic of ZA-type dual-lead worm is analyzed.The mathematical model involving the ZA-type dual-lead worm is built based on the characteristic of the points of the tooth surface spiral motion during the rotation of the worm.The MATLAB is adopted to calculate the mathematical model and the calculation results are imported to SolidWorks software to generate the 3 Dsolid modeling,which lay agood foundation for NC machining,finite element analysis and dynamic analysis of the ZA-type dual-lead worm.…”
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Modified Three-Dimensional Multicarrier Optical Prime Codes by Rajesh Yadav, Gurjit Kaur

“…We propose a mathematical model for novel three-dimensional multicarrier optical codes in terms of wavelength/time/space based on the prime sequence algorithm. …”
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Generalizing the Black and Scholes Equation Assuming Differentiable Noise by Kjell Hausken, John F. Moxnes

“…As an example, the mathematical model is used to generalize the Black and Scholes’ (1973) equation for pricing financial instruments. …”
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Optimal Design and Analysis of Steering Mechanism of Manned Lunar Rover by Men Shudong, Wang Ping, Zhao Yang, Liu Chunlai

“…The inner and outer wheel turning angles mathematical model is deduced. Based on Ackerman- geometry steering theory,the optimized mathematical model of the steering mechanism is established. …”
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MESHING THEORY ANALYSIS OF THE MODIFIED ROLLER ENVELOPING HOURGLASS WORM DRIVE by QI Yan, LIAO HongHui, WANG XuDong, LIU ZaiXin, LI JinKuan

“…According to the spatial meshing theory and the transmission characteristics of the parabolic modified roller-enveloped toroidal meshing worm drive, the basic mathematical model is established; based on the mathematical model of parabolic modified roller enveloping toroidal meshing worm transmission, the basic characteristic parameters of the new worm transmission are deduced, and the meshing performance of the new worm transmission is further analyzed. …”
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A Study on the Effect of the Contact Point and the Contact Force of a Glass Fiber under End-Face Polishing Process by Ying-Chien Tsai, Guang-Miao Huang, Shin-Wei Cheng, Cheng-An Hsu, Innchyn Her

“…In order to verify the feasibility of the mathematical model, experiments, as well as DEFORM simulations, are carried out. …”
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Towards a Prototype of a Spherical Tippe Top by M. C. Ciocci, B. Malengier, B. Langerock, B. Grimonprez

“…This “toy” is suitable to validate the mathematical model qualitatively and quantitatively.…”
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Algorithm of Development for Stabilization of Socio-Ecological Situation in Karakalpakstan by Alisher Abdullaev

“…The parameters of the developed mathematical model and their adequacy are determined. The developed mathematical model will allow identification of the social and ecological situation of the republic. …”
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Outage probability for cooperative communication system with asymmetric channel by CHUAI Gang1, LIU Sheng1, WEN Xiao-jun1

“…Firstly, a mathematical model of cooperative system in asymmetric channel considering the link diversity gain between the source and destination was presented. …”
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CLOSED-LOOP CONTROL OF OXYGEN-CONVERTER MELTING by V. S. Bogushevsky, S. V. Zhuk, S. G. Melnik, E. N. Zubova

“…The mathematical model of Fe – C-melt decarbonization, with the assistance of the theory of critical concentrations was developed in this work. …”
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Simulation of Distributed Current Sensor Based on Optical Fiber Deformation by T. P. Yanukovich, A. V. Polyakov

“…An a priori estimate of parameters of the measuring system was carried out on the basis of the mathematical model of stimulated Brillouing scattering in an optical fiber. …”
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Compensating Trajectory of a Kind of Long-pitch Constrained Conveyor Chain by Li Shujing, Hong Lin, Liang Yanshu

“…The conveyor chain model which include constrained and free pin is established.Through analyzing each position of pin in static and the movement velocity and displacement of pin in one period are calculated according to its coordinate.The mathematical model of each pin in the state of motion is established and the motion trajectory of free pin should include two parts because of the polygonal action of the chain is proposed.Aiming at the problem of the nonlinear equations in the mathematical model of chain is hard to calculate,a kind of solution method based on fundamental theorem of calculus is presented.Finally,motion trajectory of top and bottom edge free pin is obtained by using the MATLAB point depiction method.A computation method is provided for the analysis of trajectory constrained conveyor chain and the design of constrained trajectory.…”
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Solution of Motion Position and Machining Simulation for Spiral Bevel Gear based on Four Axis Generative Movement by Ganglei Lü, Jun Liu, Zhengying Liu

“…Secondly， the motion mathematical model of four axis milling machine and basic generating mathematical model are established. …”
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Research of Grinding Surface Roughness of Face Gear based on Analysis of Orthogonal Experiment by Liu Jinhua, Ming Xingzu, Gao Qin

“…The effect status of grinding wheel speed,feed speed and grinding depth on the face gear roughness are analyzed. The mathematical model of roughness about grinding wheel speed,feed speed and grinding depth is established. …”
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A dynamic model of CT scans for quantifying doubling time of ground glass opacities using histogram analysis by József Z. Farkas, Gary T. Smith, Glenn F. Webb

“…We quantify a recent five-category CT histogram based classification of ground glass opacities using a dynamic mathematical model for the spatial-temporal evolution of malignant nodules. …”
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Structural Design and Experiment Analysis of a Morphing Wing Structure by Song Zhendong, Li Gang, Guo Bing

“…A morphing wing structure is proposed by using planar multi-closed loop linkage. The mathematical model of the structure is established. The mechanism trajectory is simulated and analyzed in Matlab by using the structural mathematical model. …”
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Research of Prediction Method of Automobile Synchronous Belt Transmission Noise based on Orthogonal Test by Shi Yaochen, Li Zhanguo, Zhou Hong, Zhou Peng

“…The orthogonal table is extended by regression,without any increase in testing time,a regression mathematical model is established based on the objective function of automobile synchronous belt transmission,and the accuracy of the mathematical model is verified by experiment. …”
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Multi-objective Optimization Design of Micro-cultivator Gearbox based on NSGA-Ⅱ Algorithm by Zeng Chen, Li Bing, Wang Xiaoyong, Li Shangqing, Wu Xiankun

“…In order to improve the transmission performance and efficiency,the mathematical model is established based on the main design parameters of multi- axis micro- cultivator gearbox. …”
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