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 Dec17 awarded Caucus Sep30 awarded Explainer Sep24 awarded Autobiographer Aug31 awarded Yearling Jan28 answered Prove $\left(\sum_{1 \le i 0$ added tag inequality Jan28 suggested approved edit on Prove that $\,\,\displaystyle\inf_{n\in\mathbb N}\sum_{k=0}^{p}\lvert\sin{(n+k)^p}\rvert>0$ Jan23 answered Inequality $\left|x\sin\frac{1}{x}-y\sin\frac{1}{y}\right|\leq\sqrt{2|x-y|}$ Oct31 awarded Revival Sep13 comment How to prove $\prod_{i=1}^{n}\left(\dfrac{x_{i}}{\sin{x_{i}}}\right)^{2a_{i}}+\prod_{i=1}^{n}\left(\dfrac{x_{i}}{\tan{x_{i}}}\right)^{a_{i}}>2$? I suggest to try to prove that $(\frac{x}{sin(x)})^{2a}+(\frac{x}{tan(x)})^a$ is increasing (in $x$ and in $a$) and hence always bigger than 2. Sep13 comment How to prove $\prod_{i=1}^{n}\left(\dfrac{x_{i}}{\sin{x_{i}}}\right)^{2a_{i}}+\prod_{i=1}^{n}\left(\dfrac{x_{i}}{\tan{x_{i}}}\right)^{a_{i}}>2$? Hey, this is a nice document. Is it possible to be downloaded? I can't understand because of the Chinese... Aug31 awarded Yearling Aug16 answered Prove the Inequality: $\sum\frac{x^3}{2x^2+y^2}\ge\frac{x+y+z}{3}$ Aug9 comment Azuma's inequality to McDiarmid's inequality? Have you looked at the original McDiarmid paper? I have uploaded it for you here. Aug9 answered The definition of “number” Aug7 answered Proving Jensen's inequality. May17 awarded Caucus Apr27 answered How to prove $\frac{\pi^2}{6}\le \int_0^{\infty} \sin(x^{\log x}) \ \mathrm dx$? Apr26 revised cauchy schwarz inequality problemes edited tags Apr24 revised $a_1t^k\leq-\sqrt{1+x^2}+x\operatorname{arcsinh}{x}+1\leq a_2t^k,\ \forall\ t\in[0,\epsilon]$? expanded answer