实数六大基本定理的相互证明
简介
翟老师的<泛函分析>课程带我重新认识了实数。实数中有一些基本定理,但具体有几个存在着很多不同的观点。本文以六大定理为准,这六大定理分别为
- 确界原理
- 单调有界原理
- Cantor闭区间套定理
- 致密性定理(聚点定理)
- Cauchy收敛准则
- 有限覆盖定理
本文对这六大定理之间进行了循环证明,共计30个证明,如有不正之处,可在评论区指出,我会及时进行修正。
翟老师的<泛函分析>课程带我重新认识了实数。实数中有一些基本定理,但具体有几个存在着很多不同的观点。本文以六大定理为准,这六大定理分别为
本文对这六大定理之间进行了循环证明,共计30个证明,如有不正之处,可在评论区指出,我会及时进行修正。
由于某些不可名状的原因,导致了有修改操作系统安装时间的需求,在此小记。
This is an automatically translated post by LLM. The original post is in Chinese. If you find any translation errors, please leave a comment to help me improve the translation. Thanks!
Due to certain indescribable reasons, there is a need to modify the installation time of the operating system. Here is a brief summary.
This is an automatically translated post by LLM. The original post is in Chinese. If you find any translation errors, please leave a comment to help me improve the translation. Thanks!
"ByteDance" was created from late May to early June 2022, taking half a month. It is the highest level short film I have participated in so far.
This is an automatically translated post by LLM. The original post is in Chinese. If you find any translation errors, please leave a comment to help me improve the translation. Thanks!
Movies achieve a sense of naturalness through extreme deliberation.
This is an automatically translated post by LLM. The original post is in Chinese. If you find any translation errors, please leave a comment to help me improve the translation. Thanks!