Kinematic Performance Analysis and Scale Optimization of a Fully Symmetric 4-URU Parallel Mechanism by Yong Liu, Yong Xu, Lü Yeping, Wei Song

“…Based on the screw theory, the degree of freedom of the mechanism is verified, the mathematical model of the positive and negative solution of the mechanism position is established, and the singular configuration of the mechanism is obtained. …”
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Calculation of Wall Heat Conductivity under Non-Symmetric Boundary Conditions by R. I. Yesman

“…A mathematical model for heating multi-layer walls with non-symmetric boundary surface conditions has been developed in the paper. …”
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Research on Optimization of Production Decision Based on Payment Time and Price Coordination by Yanyang Yan, Liang Yuan, Yemei Li

“…This paper constructs the mathematical model of the optimal quotation and delivery deadline and proposes a scheduling algorithm that is different from the general M/M/1 and then studies the production scheduling problem and explores the effective implementation of quotation policy in management practice.…”
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Design and Experiment of a New Type of Multi-position Rehabilitation Training Lower Limb Exoskeleton by Guoxin Xu, Bingqi Jia, Xiao Wei, Wenlong Bi, Huaqiang Zhang, Yanjun Zhao

“…A new type of multi-position rehabilitation training lower limb exoskeleton is designed， a mathematical model of the lower limb exoskeleton is established， and kinematics simulation and analysis are carried out. …”
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Energy-efficiency based buffer-aided relay selection scheme in SWIPT by Xinlong HONG, Xiaorong XU, Yingbiao YAO

“…Aiming at the problem of buffer-aided half-duplex (HD) relay selection in simultaneous wireless information and power transfer(SWIPT) with energy constraint,energy-efficiency priority based buffer-aided relay selection scheme in SWIPT was investigated.Moreover,SWIPT system energy efficiency was studied,and an appropriate mathematical model was constructed to perform energy efficiency based buffer-aided optimal receive/transmit relay selection in SWIPT.Numerical results show that the proposed scheme effectively reduces SWIPT outage probability and achieves the tradeoff between energy efficiency and outage performance in buffer-aided SWIPT.…”
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IPTV user’s on-demand behavior based on adaptive segmental stretched exponential model by Buhua CHEN, Ge CHEN, Jie LIANG

“…The IPTV user’s on-demand behavior model based on adaptive segmental stretched exponential (ASSE) was proposed to optimize the configuration of IPTV CDN system,to improve the video scheduling and storage strategy,and to provide users with better experience for video access.At the same time,the probability of the video access by using the actual IPTV user’s on-demand data of China Telecom was simulated.Experiments show that compared with the traditional modeling methods,the ASSE model proposed not only achieves the purpose of simplifying the mathematical model and reducing the computation,but also improves the accuracy of the curve fitting.It has good consistency with the actual data.…”
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SCMA codebooks design for Rayleigh fading channel by Tuofeng LEI, Shuyan NI, Naiping CHENG, Xin SONG

“…According to the symbol error eate (SER) of the superimposed constellation, the near-optimal space code multiple access (SCMA) codebooks were explored under uplink and downlink Rayleigh fading channels, respectively.A near-optimal codebook design scheme was proposed based on the mathematical model between the superimposed constellation and the SER formula.And the proposed design procedures could be summarized as follows, design the factor graph matrix, match the best codeword pair, and find the optimal angle.Numerical results are provided to demonstrate that the proposed scheme can achieve near-optimal SER performance.…”
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Explicit Expression for Arbitrary Positive Integer Powers of Special Sparse Matrices by Mohammad Beiranvand, Mojtaba Ghasemi Kamalvand

“…Sparse matrices appear frequently in mathematical models. In this paper, we firstly present a general expression for the entries of the r th r∈ℕ power of a certain n-square sparse matrix, in terms of the Chebyshev polynomials of the second kind. …”
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Tolerance Design for RV Reducer based on the Method of Weighting by Gong Linhuan, Zuo Jianming

“…A new method for the tolerance design of RV reducer- method of weighting is proposed. The mathematical model is established in the first step,the model is related to hysteretic errors and the input designed parameters. …”
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Optimization of multiple sampling for solving network boundary specification problem by Ruochen Zhang

“…The present study discusses the boundary specification problem in multiple surveys, and proposes a mathematical model for optimizing the sampling strategy in each independent survey. …”
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Adaptive Sliding Mode Tracking Control for Unmanned Autonomous Helicopters Based on Neural Networks by Min Wan, Mou Chen, Kun Yan

“…In this paper, an adaptive sliding mode tracking control scheme is developed for the medium-scale unmanned autonomous helicopter with system uncertainties and external unknown disturbances. A simplified mathematical model is established, which is divided into position subsystem and attitude subsystem. …”
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Analysis of optimization for properties of UWB indoor multipath channel by HU Luo-quan, ZHU Hong-bo

“…Methods of optimization were proposed for analyzing the properties of UWB indoor multipath channels,and a mathematical model for UWB channel modeling was discussed.Assumptions of stochastic bridge process and probabilistic choice were adopted.A UWB channel impulse response based on bounded Brownian bridge model （BBBM） was constructed.The judgments of effective random paths,and modeling algorithms based on the methods of optimization were presented.The results of simulation for UWB channels demonstrated that the BBBM could obtain the similar properties to the ones of experiments and UTD methods,some characteristic parameters corresponded well with the experimental values.…”
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On Flows of Bingham-Type Fluids with Threshold Slippage by Evgenii S. Baranovskii

“…We investigate a mathematical model describing 3D steady-state flows of Bingham-type fluids in a bounded domain under threshold-slip boundary conditions, which state that flows can slip over solid surfaces when the shear stresses reach a certain critical value. …”
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Accurate Tooth Surface Modeling and Meshing Simulation of Helical-face gear Pair with Linear Contact Cross Axis by Li Jingcai, Xu Wenli, Ma Junfang, Yang Jiafu, Man Jia, Liu Qian

“…Based on the meshing theory, the mathematical model of the tooth surface of the helical-face gear with cross axis is established, and the discrete data points of the tooth surface are calculated. …”
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A reaction-diffusion system modeling the spread of resistance to an antimalarial drug by Nicolas Bacaër, Cheikh Sokhna

“…A mathematical model representing the diffusion of resistance toan antimalarial drug is developed. …”
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Reliability Analysis of Random Fuzzy Unrepairable Systems by Ying Liu, Xiaozhong Li, Jianbin Li

“…Then we establish the fundamental mathematical models of random fuzzy unrepairable systems, including series systems, parallel systems, series-parallel systems, parallel-series systems, and cold standby systems with absolutely reliable conversion switches. …”
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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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Permeability Properties of Jointed Rock with Periodic Partially Filled Fractures by Fei Ye, Jun-Chao Duan, Wen-Xi Fu, Xing-Yu Yuan

“…To investigate the seepage characteristics of a rock mass with partly filled fractures, a mathematical model is established. In this model, the clear fluid in fractures is governed by the Navier-Stokes equation, and the fluid both in the porous medium and rock matrix are subjected to the Brinkman-Extended Darcy equation. …”
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Hidden Attractors in Chaotic Systems with Nonlinear Functions by Safara Bibi, Juan Hugo García López, Rider Jaimes-reategui, Hafiz Muhammad Zeeshan, Guillermo Huerta-cuellar

“…These attractors can arise in various mathematical models, such as the Lorenz system, Rössler system, or Chua's circuit. …”
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Multi-objective Optimization Design of Gearbox with Helical Cylindrical Gear Drive by Zhou Libin, An Xianghua, Chen Huanguo

“…Taking the bearing capacity increasing,meeting the equal strength design and the minimum center distance of gear drive as objective function,the multi- objective optimum design mathematical model of the two- grade helical cylindrical gear drive is established. …”
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