Mathematics
Bruno B's user avatar
Bruno B's user avatar
Bruno B's user avatar
Bruno B
  • Member for 1 year, 2 months
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  • France
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He/him. Currently just a student taking a peek into the beauty of math.

(Hopefully my English is and will be understandable. Sorry in advance.)

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Oct 7
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10
Evaluate $\lim_{n \to \infty} n \prod_{m = 1} ^ n \left(1 - \frac1m + \frac5{4m ^ 2}\right)$
8
If every dense subspace of a normed space $E$ is of finite codimension, is $E$ finite-dimensional?
7
Does there exist an everywhere weakly continuous but nowhere strongly continuous function $f : [0,1] \to X$?
7
Prove or disprove: Let $f$ be a non-constant polynomial, then $f(x)f(1/x)=1~\Rightarrow~f(x)=\pm x^n,$ for some $n \in \Bbb N$
7
A function in $L^1(\mathbb{R}^d)$ satisfying $f(x)+f\ast g(x)=e^{-|x|^2}.$

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