Evaluation and analysis of the computation cost of linear network coding by PU Bao-xing1, WANG Wei-ping2

“…The complexity of algebraic operation methods on Galois fields was analyzed and the operation mechanism of linear network coding was anatomized.Based on deterministic network coding data transmission and random network coding data transmission for single-source multicast connection,the mathematic model had been created to estimate the computation cost of linear network coding and the relationship between operation cost and environmental parameters had been revealed.The key factors of affecting the operation cost were also analyzed.The analysis results indicate that computation cost can be decreased through properly choosing environment parameters.Numerical calculation and simulation results demonstrate the correctness of the proposed model and validate the theoretical analysis.…”
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Spectrum allocation of cognitive wireless network based on immune clone selection optimization by CHAI Zheng-yi1, LIU Fang1

“…The spectrum sensing process was described based on WRAN.By analyzing physical connection of cognitive wireless network,the mathematical model of spectrum allocation was given,and then it was converted into a constrained optimization problem,whose goal was to maximum the profit of network.An immune clone selection algorithm was proposed to solve the problem,and the algorithm convergent with probability 1 was proved.Finally,the simulation experiments were done to test the algorithm.The results showed that compared with CSGC algorithm（color-sensitive graph coloring） and GA-SA（spectrum allocation based on genetic algorithm）,this algorithm could achieve maximization of network profits.Meanwhile,the system simulation results based on WRAN confirmed its effectiveness.…”
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Dynamic Surface Control of Harmonic Drive Mechanism based on RBF Neural Network by Li Xiangwei, Hou Gaoqiang

“…The mathematic model for the harmonic drive mechanism with multi- variable and nonlinear external disturbance is established,the system error is defined and virtual function is introduced gradually. …”
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Development of Spherical Actuator with L-Shaped Yoke by Yu-Wen Huang, Hao-Wen Chung, Yu-Ming Chen, Chien-Sheng Liu, Ming-Fu Chen

“…In the design process, SOLIDWORKS 2018 software is used for design modeling and assembly simulation, ANSYS Maxwell 2018 software is employed for magnetic circuit analysis and electromagnetic simulation, while MATLAB is utilized for analyzing the dynamic characteristics through a mathematical model. A prototype was also fabricated, and torque measurement experiments were conducted to verify the performance and feasibility of the proposed design.…”
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Study on Meshing Efficiency of Non-circular Gear based on Elastohydrodynamic Lubrication by Wanshan Liu, Hao Peng, Zhiqin Cai, Xiaofan Ma

“…Based on the analysis of the meshing characteristics of non-circular gear and the law of equal engagement angle of tooth profile， considering the influence of relative speed， friction coefficient， oil film thickness， and other key factors on the loss of meshing power， a novel mathematical model for the meshing efficiency of non-circular gear transmission under the elastohydrodynamic lubrication condition is established. …”
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Dynamical analysis of a complex competitive two-strain epidemic network model with vaccination by A. Abdelkhalek, A.H. Abdel Kader, I.L. El-Kalla, A. Elsaid, Amr Elsonbaty, K.S. Nisar

“…Therefore, this work proposes a new complex competitive two-strain epidemic network model that incorporates vaccination. We derive the mathematical model, compute the disease-free equilibrium point, and determine its stability conditions. …”
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THE PREDICTION OF ENTERPRISES ACTIVITY INDICATORS TAKING INTO ACCOUNT THE INITIAL DATA UNCERTAINTY by Yu. Gagarin, S. Gagarina

“…To obtain point and interval estimates of the parameters of mathematical models that take into account errors in the values of the function and argument, the use methods of confluent analysis has been proposed. …”
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Energy efficient cooperative spectrum sensing algorithm in cognitive wireless sensor networks by Gui-cai YU, Cheng-zhi LONG, Man-tian XIANG

“…A novel energy-efficient scheme of cooperative spectrum sensing in cognitive wireless sensor networks is proposed.Firstly,in order to reduce energy consumption of distributed sensor nodes,and assumed that instantaneous SNR and average SNR for each node is available.The mathematical model of spectrum sensing nodes energy consumption and optimum detection threshold are analyzed. …”
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Optimization of Asynchronous Electric Generator Parameters in System Wind Power Installations by Yu. V. Makosko

“…The paper considers a wind power installation with asynchronous electric generator which is integrated in large power system. Mathematical model describing a wind motor, an asynchronous generator, step-up transformers, cable and open-air electric power lines has been used to obtain linear polynomials. …”
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Sociological phenomena as multiple nonlinearities: MTBI's new metaphor for complex human interactions by Christopher M. Kribs-Zaleta

“…Mathematical models are well-established as metaphors for biological and epidemiological systems. …”
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Pedestrian Guiding Signs Optimization for Airport Terminal by Jianxin Lin, Rui Song, Jifeng Dai, Pengpeng Jiao

“…In this paper, we aim to optimize the guiding signs for people in the comprehensive transportation terminal with a mathematical model, which describes the pedestrian's reaction, judgment, and perception of the outline about the guiding signs, as well as pedestrian's moving status through self-organized characteristic behavior. …”
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THE EVOLUTIONARY-PRACTICAL ORIENTATION OF TRAINING MASTERS-CREATORS by Nadezhda M. Melnik

“…Based on the analysis of the mathematical model of the process of professional activity, concluded about need the implementation of the evolutionary-practical approach to training of Masters, which improves the intelligence up to the fourth level by resonant coupling of extensive and intensive learning.…”
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Research of the Load Distribution at the Meshing Point of Double Circular Arc Gear by Jiang Biqiong, Ren Zhongyi, Duan Jianzhong

“…A meshing point contact force mathematical model of double circular arc gear is established,the gear tooth bend stiffness is calculated according to mechanics of materials and the theory of elasticity. …”
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Kinematics Analysis of a Two-wheeled Robot on a Sphere by Lu Chenxi, Zhang Wenzhi, Chen Fumin

“…The trajectory and velocity of the robot on the spherical surface are obtained，and then the mathematical model of the robot's motion on the spherical surface is established. …”
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New Exact Solutions for a Generalized Double Sinh-Gordon Equation by Gabriel Magalakwe, Chaudry Masood Khalique

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Exact Solutions and Conservation Laws of a (2+1)-Dimensional Nonlinear KP-BBM Equation by Khadijo Rashid Adem, Chaudry Masood Khalique

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Group Classification of a Generalized Lane-Emden System by Ben Muatjetjeja, Chaudry Masood Khalique, Fazal Mahmood Mahomed

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Application of additive manufacturing for the adaptive design of ultrasound phantoms by Lukas Zalka, Lukas Zalka, Johannes Köhrer, Johannes Köhrer, Chatsuda Songsaeng, Chatsuda Songsaeng, Peter Homolka, Christian Kollmann, Johann Hummel, Johann Hummel, Michael Figl, Michael Figl

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Dynamical properties and tumor clearance conditions for a nine-dimensional model of bladder cancer immunotherapy by K. E. Starkov, Svetlana Bunimovich-Mendrazitsky

“…Understanding the global interaction dynamics between tumor and the immunesystem plays a key role in the advancement of cancer therapy.Bunimovich-Mendrazitsky et al. (2015) developed a mathematical model for thestudy of the immune system response to combined therapy for bladder cancerwith Bacillus Calmette-Guérin (BCG) and interleukin-2 (IL-2) . …”
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Fuzzy Reliability Optimal Design of Multi-stage Planetary Gear Train with Multi-objective by Hao Liping

“…The problem of randomness and fuzziness of mechanical design could effectively dealed with through the fuzzy reliability optimization design which established by the combination of fuzzy mathematics method and mechanical optimization technique.Taking the multi-stage planetary gear train as research object,the optimization and allocation of transmission ratio is implemented by the conventional optimization design method.On this basis,taking the fuzzy reliability constraints as the main constraint condition,the volume,transmission efficiency and contact ratio as object,the multi-objective fuzzy reliability optimization mathematical model is established.Then the fuzzy reliability optimization design is transformed into conventional reliability optimization design through the multistage fuzzy comprehensive evaluation,and the optimization design is carried out by using Matlab optimization toolbox.…”
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