American Journal of Applied Mathematics

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Research and Demonstration of the Refraction Problems

Received: 25 June 2018    Accepted:     Published: 26 June 2018
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Abstract

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.

DOI 10.11648/j.ajam.20180602.19
Published in American Journal of Applied Mathematics (Volume 6, Issue 2, April 2018)
Page(s) 87-96
Creative Commons

This is an Open Access article, distributed under the terms of the Creative Commons Attribution 4.0 International License (http://creativecommons.org/licenses/by/4.0/), which permits unrestricted use, distribution and reproduction in any medium or format, provided the original work is properly cited.

Copyright

Copyright © The Author(s), 2024. Published by Science Publishing Group

Keywords

Refractive Problems, Function Extremum, Dichotomy, MATLAB Simulation

References
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Author Information
  • School of Mathematics and Physics, University of Science & Technology Beijing, Beijing, China

  • School of Mathematics and Physics, University of Science & Technology Beijing, Beijing, China

  • School of Mathematics and Physics, University of Science & Technology Beijing, Beijing, China

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  • APA Style

    Xiao Hu, Lintong Zhang, Jixun Chu. (2018). Research and Demonstration of the Refraction Problems. American Journal of Applied Mathematics, 6(2), 87-96. https://doi.org/10.11648/j.ajam.20180602.19

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    ACS Style

    Xiao Hu; Lintong Zhang; Jixun Chu. Research and Demonstration of the Refraction Problems. Am. J. Appl. Math. 2018, 6(2), 87-96. doi: 10.11648/j.ajam.20180602.19

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    AMA Style

    Xiao Hu, Lintong Zhang, Jixun Chu. Research and Demonstration of the Refraction Problems. Am J Appl Math. 2018;6(2):87-96. doi: 10.11648/j.ajam.20180602.19

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  • @article{10.11648/j.ajam.20180602.19,
      author = {Xiao Hu and Lintong Zhang and Jixun Chu},
      title = {Research and Demonstration of the Refraction Problems},
      journal = {American Journal of Applied Mathematics},
      volume = {6},
      number = {2},
      pages = {87-96},
      doi = {10.11648/j.ajam.20180602.19},
      url = {https://doi.org/10.11648/j.ajam.20180602.19},
      eprint = {https://download.sciencepg.com/pdf/10.11648.j.ajam.20180602.19},
      abstract = {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.},
     year = {2018}
    }
    

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  • TY  - JOUR
    T1  - Research and Demonstration of the Refraction Problems
    AU  - Xiao Hu
    AU  - Lintong Zhang
    AU  - Jixun Chu
    Y1  - 2018/06/26
    PY  - 2018
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    DO  - 10.11648/j.ajam.20180602.19
    T2  - American Journal of Applied Mathematics
    JF  - American Journal of Applied Mathematics
    JO  - American Journal of Applied Mathematics
    SP  - 87
    EP  - 96
    PB  - Science Publishing Group
    SN  - 2330-006X
    UR  - https://doi.org/10.11648/j.ajam.20180602.19
    AB  - 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.
    VL  - 6
    IS  - 2
    ER  - 

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