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  1. (Un-)Countable union of open sets - Mathematics Stack Exchange

    Jun 4, 2012 · A remark: regardless of whether it is true that an infinite union or intersection of open sets is open, when you have a property that holds for every finite collection of sets (in …

  2. modular arithmetic - Prove that that $U (n)$ is an abelian group ...

    Prove that that $U(n)$, which is the set of all numbers relatively prime to $n$ that are greater than or equal to one or less than or equal to $n-1$ is an Abelian ...

  3. Mnemonic for Integration by Parts formula? - Mathematics Stack …

    Nov 11, 2018 · The Integration by Parts formula may be stated as: $$\\int uv' = uv - \\int u'v.$$ I wonder if anyone has a clever mnemonic for the above formula. What I often do is to derive it …

  4. For what $n$ is $U_n$ cyclic? - Mathematics Stack Exchange

    Continue to help good content that is interesting, well-researched, and useful, rise to the top! To gain full voting privileges,

  5. If a series converges, then the sequence of terms converges to $0$.

    @NeilsonsMilk, ah, it did not even occur to me that this involves a step. See, where I learned mathematics, it is not unusual to first define when a sequence converges to zero (and we have …

  6. Newest Questions - Mathematics Stack Exchange

    3 days ago · Mathematics Stack Exchange is a platform for asking and answering questions on mathematics at all levels.

  7. $\\sum a_n$ converges $\\implies\\ \\sum a_n^2$ converges?

    May 14, 2015 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …

  8. Mathematics Stack Exchange

    Q&A for people studying math at any level and professionals in related fields

  9. How to find generators in $U(n)$? - Mathematics Stack Exchange

    Nov 12, 2017 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …

  10. probability - Suppose that $U1, U2, ..., Un$ are iid $U (0,1)$ and …

    Nov 2, 2022 · You'll need to complete a few actions and gain 15 reputation points before being able to upvote. Upvoting indicates when questions and answers are useful. What's reputation …