随机数求积分的0.9规律性
Using Random Numbers to Calculate the Regularity of Integral—The Lin Qun's Philosophical Formula
林群 1陈竑焘 2刘宇宁3
作者信息
- 1. 首都师范大学数学科学学院,北京 100048;中国科学院数学与系统科学研究院,北京 100190
- 2. 厦门大学数学科学学院,福建 厦门 361005
- 3. 首都师范大学数学科学学院,北京 100048
- 折叠
摘要
从哲学观点出发,林群仅用一个公式相对真理/绝对真理=0.(9)(即比值都相同),就阐述了微积分的思想与方法.并且,林群等人还探索了在计算数学、概率统计等其它数学领域,甚至我们日常生活中的现象,也同样隐藏着这个公式.文章以利用随机数计算积分为例,揭示隐藏其中的上述哲学公式.
Abstract
From a philosophical viewpoint,Lin Qun has set forth the essence of calculus with only one philosophical formula(Relative truth/Absolute truth=0.(9),i.e.theratios are the same).Fur-thermore,with the use of his philosophical formula,Lin Qun etc has explored other fields of subject like computational mathematics,probability theory,mathematical statistics and even the phenomena in our common life,where there equally hides this philosophical for-mula behind.This paper takes computing integral by using random numbers for example,to demonstrate it also hides the above philosophy formula(whose ratios are the same)behind.
关键词
相对真理/绝对真理=0.(9)/随机数/定积分Key words
Relative truth/Absolute truth=0.(9)/random number/integral引用本文复制引用
出版年
2024
NETL
NSTL
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