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uforoboa

I'm a poor little math student :)

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109 $L^p$ and $L^q$ space inclusion Sep 20 '11
48 Contest problem: Show $\sum_{n = 1}^\infty \frac{n^2a_n}{(a_1+\cdots+a_n)^2}<\infty$ s.t., $a_i>0$, $\sum_{n = 1}^\infty \frac{1}{a_n}<\infty$ Sep 25 '12
33 thoughts about $f(f(x))=e^x$ Sep 19 '11
27 Probability that two random numbers are coprime is $\frac{6}{\pi^2}$ Sep 14 '11
15 Proving inequality $\frac{a}{b}+\frac{b}{c}+\frac{c}{a}+\frac{3\sqrt[3]{abc}}{a+b+c} \geq 4$ Aug 31 '12
12 Why is $\sum \limits_{k = 0}^{n} (-1)^{k} k\binom{n}{k} = 0$? Oct 25 '11
11 orthonormal system in a Hilbert space Sep 16 '11
10 Computation of limit: $\lim\limits_{n \to \infty} \frac{1}{n}\left ( \cos1+\cos(\frac{1}{2})+\cos(\frac{1}{3}) +…+\cos (\frac{1}{n}) \right )$ Jan 28 '13
9 Trouble with an Inequality Nov 16 '11
8 $G$ finite group, $H\leq G$ such that $C_G(x)\subseteq H\quad\forall x\in H$ such that $p\mid o(x)$ Oct 27 '11
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