Longeyes
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### Questions (27)

 5 Fourier transform of $\frac{\sinh(kx)}{\sinh(x)}$ [duplicate] 4 If $\sum_{n \geq 1}X_n$ converges a.s. then $\forall a > 0: \sum P(|X_n|>a) < \infty$ 3 Show $\sqrt{1 + (\int_{\Omega} h d\mu)^2} \leq \int_{\Omega} \sqrt{1+h^2} d\mu$ 3 Example: Sum of non-commuting matrices is not normal 2 show $\sum_{j=0}^n (-1)^j {n \brack j}_q =0$ for n odd

### Reputation (329)

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 1 How to work with a statement: “for all $x$, if $p(x)$ then $q(x)$” (contradiction and contraposition) 0 Induced isomorphism from a group $G$ to $\{ (x_1,x_2) \in G_1 \times G_2 | f_1(x_1) = f_2(x_2) \}$

### Tags (40)

 1 logic 0 probability × 3 1 predicate-logic 0 group-theory × 3 0 lebesgue-integral × 6 0 convergence × 3 0 measure-theory × 5 0 cryptography × 2 0 linear-algebra × 3 0 lebesgue-measure × 2

### Accounts (3)

 Mathematics 329 rep 111 Physics 110 rep 14 Programmers 108 rep 2