Research and Demonstration of the Refraction Problems
American Journal of Applied Mathematics
Volume 6, Issue 2, April 2018, Pages: 87-96
Received: Jun. 25, 2018;
Published: Jun. 26, 2018
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Xiao Hu, School of Mathematics and Physics, University of Science & Technology Beijing, Beijing, China
Lintong Zhang, School of Mathematics and Physics, University of Science & Technology Beijing, Beijing, China
Jixun Chu, School of Mathematics and Physics, University of Science & Technology Beijing, Beijing, China
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The introduction of function extremum promotes the development of calculus, which is the prerequisite and important condition for the development and development of many mathematical ideas. Except for extreme problems in social life or science and technology, the issue of cost in economic issues, the shortest distance in mathematics problem can be solved by the function extreme value thought. However, because the extreme value problem is not well described, learners cannot easily observe and learn. This paper takes the uniform speed and uniform acceleration and descent in the descent model as an example. In the uniform acceleration, the dichotomy is introduced to solve the function extremum problem. Through MATLAB simulation, the position of the steepest descent point is found intuitively and relevant conclusions are obtained. It is hoped that the research process of the problem can be helpful to the study of refractive problems, and it is hoped that the visually intuitive simulation results can enable learners to understand the descent model more objectively.
Refractive Problems, Function Extremum, Dichotomy, MATLAB Simulation
To cite this article
Research and Demonstration of the Refraction Problems, American Journal of Applied Mathematics.
Vol. 6, No. 2,
2018, pp. 87-96.
Xue Ting. Some Thoughts on the Extremum Method of One-way Function [J]. Exam Weekly. 2011 (52).
Sheng Zhaobiao. Basic tutorial on optimization method [M]. Nanjing: Southeast University Press, 1992.
Li Xiufen, Wang Pinghua, Liu Jiang, Jin Lei, Ruan Tongbin, Sun Yingjie, Peng Feng, Pan Yuhong. Precipitation extremum characteristics of eastern Liaoning during 1960-2015[J]. Journal of Ecology. 2017 (08).
Shi Xianwu, Fang Weihua, Lin Wei, Li Ying. Analysis of Uncertainty in Precipitation Distribution in China Based on Extreme Value Theory [J]. Journal of Beijing Normal University (Natural Science); 2011 (05).
Yi Zhaohua, Huang Tianyi. The Problem of the Shortest Time Orbit for Launching Cosmic Rockets to Mars [J]. Yi Zhaohua, Huang Tianyi. Astronomy Journal. 1961 (Z1).
Xie Chengwang, Hu Jiabao. Extremum problem solving based on genetic algorithm [J]. Journal of Wuhan Institute of Science and Technology. 2004 (02).
Liu Jian, Yu Jianning. Models and Algorithms for Multimodal Transport Mode Selection [J]. Journal of Lanzhou Jiaotong University. 2010 (01).
Zhang Jun, Han Zhengbao. Multi-modal transport mode selection based on minimum total cost [J]. Value Engineering. 2014 (08).
Wang Jianqiang, Yang Chin. Research on the Coupling Degree Model of Multiple Transport Modes for Comprehensive Transport Channels [J]. Journal of Lanzhou Jiaotong University. 2016 (06).
Duan Xiaohong, Zhao Jiandong, Song Shouxin. Dynamic Shortest Path of Road Network Emergency Vehicle Based on Hybrid Leapfrogging [J]. Transportation Systems Engineering and Information. 2016 (03).
Wang Chunyuan, Liu Shuhui. The shortest path model and solution for robot walking obstacle avoidance in given scene [J]. Silicon Valley. 2013 (16).
Yu Haibo. An example of the solution to the problem of physical extremes [J]. Literacy navigation (middle). 2011 (07).
Feng Kejiang. Several Solutions on Extreme Value Problems [J]. Journal of Qinghai Teachers College. 1988 (03).
Lin Zhili, Zhu Daqing, Pu Jixiong. MATLAB animation technology research in visual teaching of electromagnetic theory curriculum [J]. China Modern Education Equipment. 2017 (03).
Zhou Jian, Jin Jian, Liu Daojun, Cheng Dong. Application of Matlab simulation in Helmholtz coil magnetic field measurement experiment [J]. Journal of Wanxi University. 2017 (02).
Wang Jie. Study on the Teaching Reform of Electrostatic Field Based on Matlab Simulation and Computation [J]. Educational Modernization. 2016 (01).
Li Bangxing. Mathematical physics method for realization of the MATLAB visualization of the formula of Dalembert [J]. Scientific Consulting (Technology/Management). 2017 (08).
Jiao Zhilian. Application of MATLAB in Mathematical Physics Method [J]. Software and Application of Computer Optical Disk. 2014 (20).