How to Find the Maximum Difference Between the Intervals of the Two Closest Intersection Points of Two Functions

Rongzhen Zhu; Yongtai Hao; Yiwen Liu

doi:10.54097/r4ynja25

Authors

Rongzhen Zhu
Yongtai Hao
Yiwen Liu

DOI:

https://doi.org/10.54097/r4ynja25

Keywords:

MVT; New Mathematical Techniques; Absolute Maximum.

Abstract

A new method is proposed in this paper to solve the maximum difference between two functions in the two nearest intersecting intervals by using the mean value theorem (MVT). At the same time, this paper describes the theoretical basis and implementation of the method and uses examples to verify its effectiveness. The goal is to provide a simplified and efficient tool for solving complex functional analyses.

Downloads

Download data is not yet available.

References

[1] Thomas Hyun, AP calculus AB and BC.

[2] Burden R L, Faires J D. Numerical Analysis. Brooks/Cole, CengageLearning[J]. Boston, USA, 2011.

[3] Press, W. H., Teukolsky, S. A., Vetterling, W. T., & Flannery, B. P. (2007). Numerical Recipes: The Art of Scientific Computing. Cambridge University Press.

[4] Nocedal, J., & Wright, S. J. (2006). Numerical Optimization. Springer.

[5] Goldberg, D. E. (1989). Genetic Algorithms in Search, Optimization, and Machine Learning. Addison-Wesley.

[6] Smith, T. J., et al. (2015). Data Analysis in Medical Research. Oxford University Press.

[7] Jones, A. M., et al. (2018). Application of Function Difference in Environmental Pollutant Concentration Analysis. Environmental Science & Technology.