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### Questions (24)

 21 Lebesgue density strictly between 0 and 1 10 Convergence/Divergence of $\int_e^\infty \frac{\sin x}{x \ln x}\;dx$ 8 Pointwise Convergence of $\sum \frac{\sin(\sqrt{n}x)}{n}$ 6 Divergence of $\sum\frac{\cos(\sqrt{n}x)}{\sqrt{n}}$ 5 Showing some complicated integral expression is bounded

### Reputation (581)

 +8 Entropy upper bound inequality for Sub-Gaussian Random Variable +45 Prerequisits for Gauss-Green theorem +75 If $R$ and $s$ are the range and standard deviation of a set of $n$ values, then $4\le R^2/s^2\le 2n$ +15 How to understand/remember Holder's inequality

 2 If $R$ and $s$ are the range and standard deviation of a set of $n$ values, then $4\le R^2/s^2\le 2n$ 2 Prerequisits for Gauss-Green theorem 2 How to understand/remember Holder's inequality 1 Points of intermediate density for a measurable set 0 For all $\epsilon>0$ there exists $f,g$ such that $\|f\ast g\|_p>(1-\epsilon)\|f\|_1\|g\|_p$.

### Tags (39)

 3 real-analysis × 13 2 self-learning 2 pde × 5 2 descriptive-statistics 2 inequality × 5 1 lebesgue-measure × 3 2 statistics × 2 1 measure-theory × 3 2 reference-request 0 analysis × 8

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 Mathematics 581 rep 216 Physics 101 rep MathOverflow 16 rep 3