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。

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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。

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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.

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《字节跳动》创作于2022年5月下旬至6月上旬,历时半个月。是截至目前为止本人参与的短片拍摄最高水平。

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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!

Introduction

"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.

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电影是经由极度刻意而达到的自然

影视创作的基本流程

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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.

Basic Process of Film and Television Production

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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!

Practical Software

Text-to-Speech

Data Source

Defi

Transportation

Weather

API

Standard Information Lookup

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