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Akira
  • Member for 7 years, 10 months
  • Last seen this week
  • Japan
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I'm learning Functional Analysis and Probability Theory.

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18
Prove that $\lim_{n \rightarrow \infty} \sum_{k=0}^{n} \frac{1}{k!} = e$
Aug 9, 2019
14
A detailed and self-contained proof of Tonelli's theorem
Oct 23, 2021
11
Julius König's proof of Schröder–Bernstein theorem
Apr 23, 2018
8
Let $S_n := \sum_{i=0}^{n-1} \frac{1}{(i+1) \left ( 1 +\frac{1}{2} + \cdots + \frac{1}{n-i} \right )}$. Does $(S_n)_{n\ge 1}$ converge?
Jun 10, 2023
8
How to utilize the special feature of this recursive problem to reduce computational complexity?
May 29, 2020
8
Is it true that every closed set is a countable intersection of open intervals?
Feb 20, 2019
8
Dominated convergence theorem for Banach space
Nov 6, 2021
8
10 equivalent definitions of normal subgroup
Jul 7, 2020
7
Differential Geometry's lecture notes by professor Will Merry
Mar 20, 2023
7
Multiplying inequalities.
Jul 15, 2018
Top Meta posts
12
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46
Is there any plan to bring dark mode to MSE as in the case of Stack Overflow?
23
How to make a question regarding proof verification more interesting and more attractive?
17
Quoted paragraph gets white
12
My tag "proof-verification" is automatically changed to "solution-verification"
5
The error message "Unable to load popup -please try again" when I start a bounty
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70
FutureWarning: The default value of regex will change from True to False in a future version
31
Alternatives to LaTeX
11
Why are the norm symbols || not aligned in this situation?
10
The colon does not align with the \vdots
10
A subscript that is closer to the tip of the nabla symbol