Gautam Shenoy
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 Apr 26 comment cosh x inequality This was a long time ago, so I actually forgot where I got it from. No doubt from some good probability book. If I find the source, I will update the article. Apr 20 comment Prove that $DQ \times DB = DP \times DC + DR \times DA$. Just to be clear, is DQ or DP the diameter of the circle? Or are you saying it doesn't matter? Apr 3 answered Compound Interest vs Continuous Interest Apr 2 comment Integrate $\int_0^{2 \pi} \frac{2}{\cos^{6}(x) + \sin^{6}(x)} dx$ Always a fan of the residues method. Apr 2 comment Integrate $\int_0^{2 \pi} \frac{2}{\cos^{6}(x) + \sin^{6}(x)} dx$ Just to clarify, by $cosx^6$ you mean $(\cos x)^6$ right? Apr 2 answered Series sum - where is the error? Mar 19 answered Prove that $g(x)=\frac{x^2}{\sin^2 x}\, (1+\cos x)$ is an increasing function for $x\in[0,\pi/2]$. Mar 15 awarded Popular Question Feb 26 answered Why is $\mid e^{2 \pi ixh}-1\mid = 2 \mid sin(\pi xh)\mid$? Feb 26 comment Useful bounds on stopping time for a positive drift random walk This does look promising. If you can write it as an answer, I'll give you credit. Feb 26 revised Useful bounds on stopping time for a positive drift random walk Updated question with a method I tried Feb 24 asked Useful bounds on stopping time for a positive drift random walk Jan 27 comment What does “variance unity” mean?: “A normal distribution with mean $\mu$ and variance unity”. Often the correct way to say it is "unit variance". Jan 22 comment Doob-style second moment martingale inequality You might be interested in the Cantelli Inequality Dec 30 accepted Weak Law of large numbers involving a sequence and random variable Dec 30 comment Weak Law of large numbers involving a sequence and random variable Thanks for the elegant solution Davide... It's good to know that it held in strong sense as well. Dec 29 revised Prove that $\sqrt{x_1}+\sqrt{x_2}+\cdots+\sqrt{x_n} \geq (n-1) \left (\frac{1}{\sqrt{x_1}}+\frac{1}{\sqrt{x_2}}+\cdots+\frac{1}{\sqrt{x_n}} \right )$ Corrected the condition term Dec 28 revised Weak Law of large numbers involving a sequence and random variable added 299 characters in body Dec 28 revised Weak Law of large numbers involving a sequence and random variable added 1228 characters in body Dec 27 asked Weak Law of large numbers involving a sequence and random variable