- Mathematics Stack Exchange
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- (Un-)Countable union of open sets - Mathematics Stack Exchange
$\begingroup$ 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 this case, the union or intersection of any finite collection of open sets is open) the validity of the property for an infinite collection doesn't follow from that
- Expectation of Minimum of $n$ i. i. d. uniform random variables.
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- Mnemonic for Integration by Parts formula? - Mathematics Stack Exchange
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 from the Product R
- The sequence of integers - Mathematics Stack Exchange
Prove that the sequence $\\{1, 11, 111, 1111, \\ldots\\}$ will contain two numbers whose difference is a multiple of $2017$ I have been computing some of the immediate multiples of $2017$ to see how
- probability - If $U\sim U(-1,1)$ and $N\sim N(0,1)$ are independent . . .
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- $\\operatorname{Aut}(\\mathbb Z_n)$ is isomorphic to $U_n$.
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- Prove that the sequence (1+1 n)^n is convergent [duplicate]
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