doi: 10.17706/ijapm.2017.7.1.33-41
Research on the Imaginary Relationship and Rational Relationship between π and e
Wenwei Chen
1
,
- 1 College of Information Systems and Management, NUDT, Changsha, China, 410073
- 2 Department of Mathematics and Systems Science, College of Science, NUDT, Changsha, China, 410073.
Abstract
The authors of this paper propose the new formula to describe the rational relationship between and e , where the constant is the linear combination of the Euler constant and the new constant，namely . Two advantages can be revealed from the rational relationship. One is that the constants in the new formula can be computed, the other is that the constants such as π and e, and in the formula can be converted to each other. There exists two methods to compute the constants using computers in this paper. The significance of conversion between π and e lies in the fact that the use of θ e2 to substitute 2π can simplify the formulas’ computation in probability and statistics.
Keywords
- The ratio of the circumference of a circle to its diameter
- the logarithm of the natural constant
- the Euler’s constant
- the new constant
- the new formula
How to Cite
Wenwei Chen and Xia Zhao, "Research on the Imaginary Relationship and Rational Relationship between π and e," International Journal of Applied Physics and Mathematics, vol. 7, no. 1, pp. 33-41, 2017. https://doi.org/ 10.17706/ijapm.2017.7.1.33-41
Copyright & License
Copyright © 2017 by the authors. This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).