By Keying Guan with ChatGPT Correspondence: keying.guan@gmail.com Abstract We study the asymptotic behavior of a newly proposed ratio involving the cumulative sum of the first n prime numbers and the square of the nth prime. Let p(n) denote the nth prime. We define: ...
Preface Since 2021, I have published over twenty blog posts on ScienceNet.cn (listed at the end of this blog), gradually developing a new theoretical principle: the equivalence of power and force . Through continuous exploration and reflection, this theory has taken shape—both mathematica ...
Preface Since 2021, I have published over twenty blog posts on ScienceNet.cn (listed at the end of this blog), gradually developing a new theoretical principle: the equivalence of power and force . Through continuous exploration and reflection, this theory has taken shape—both mathematically ...
3.Related mathematical and physical foundationissues An interesting, related question is: Can non-oriented Möbius strips appear on the spatial limit cycles of three-dimensional differential autonomous systems? The answer is yes. This situation occurs in the theoretical st ...
以下斜体文字完全录自 ChatGPT: This is a copy of a conversation between ChatGPT Anonymous. Report content You said: 空间封闭曲线的旋转数 ChatGPT said: 空间封闭曲线的旋转数是微分几何和拓扑学中的一个重要不变量,广泛应用于数学和物理领域。 科学网+1维基百科,自由的百 ...