Longeyes
Reputation
Next privilege 250 Rep.
10
Impact
~3k people reached

### Questions (23)

 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 $\sqrt{1 + (\int_{\Omega} h d\mu)^2} \leq \int_{\Omega} \sqrt{1+h^2} d\mu$ 2 If $\int(f_n) \rightarrow \int(f)$ then $\int(|f_n-f|) \rightarrow 0$ for $f_n \rightarrow f$ pointwise 2 Find angle of incomplete rotation matrix

### Reputation (198)

 +25 How to work with a statement: “for all $x$, if $p(x)$ then $q(x)$” (contradiction and contraposition) +5 If $\int(f_n) \rightarrow \int(f)$ then $\int(|f_n-f|) \rightarrow 0$ for $f_n \rightarrow f$ pointwise +5 Number of solution pairs $(i,j)$ such that $i+jk \leq l$ +5 If $\sum_{n \geq 1}X_n$ converges a.s. then $\forall a > 0: \sum P(|X_n|>a) < \infty$

 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 (33)

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

### Accounts (3)

 Mathematics 198 rep 10 Physics 10 rep 14 Programmers 1 rep