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 13 integral inequality $\int_0^a \left(\frac{f(x)}{2x}\right)^2 dx \le \int_0^a (f'(x))^2 dx$ 6 Exchange integral and conditional expectation 4 span of $AA^T$ is the same as $A$? 4 An integral related to the beta function 3 $(a_n+a_{n+1})$ is convergent implies $(a_n/n)$ converges to $0$

Reputation (1,177)

 +20 Sum of two random variables is random variable +10 Find the expected value of $\frac{1}{X+1}$ where $X$ is binomial +15 $\varepsilon$-$\delta$ proof for inverse function +15 Blumenthal 0-1 law

Questions (2)

 1 Evaluate $\int_a^{+\infty}x^{-\frac{1}{2}}\cdot e^{-x}\mathrm{d}x$ 1 Does SLLN imply convergence in $L^1$?

Tags (35)

 33 real-analysis × 16 9 sequences-and-series × 6 18 probability × 16 9 integration × 3 14 inequality × 2 8 stochastic-calculus × 2 13 contest-math 7 functional-analysis × 5 12 measure-theory × 5 5 calculus × 3

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 Mathematics 1,177 rep 48 English Language & Usage 101 rep 1 Mathematica 101 rep 1