Mathematics
Sasha
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About

I'm a mix of things, a physicist by education, I earn my living as a mathematician and programmer working at Wolfram Research. I thoroughly enjoy learning and discovery process.

“Technical skill is mastery of complexity, while creativity is mastery of simplicity”
— Erik Christopher Zeeman

Project Euler

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69 Expectation of the maximum of gaussian random variables Dec 6 '11
64 Modular exponentiation by hand ($a^b\bmod c$) Nov 11 '11
62 Probability for the length of the longest run in $n$ Bernoulli trials Aug 25 '11
59 Integral: $\int_{-\infty}^{\infty} x^2 e^{-x^2}\mathrm dx$ Sep 20 '11
54 Is the integral $\int_0^\infty \frac{\mathrm{d} x}{(1+x^2)(1+x^a)}$ equal for all $a \neq 0$? Dec 2 '11
54 Why is $\Gamma\left(\frac{1}{2}\right)=\sqrt{\pi}$? Oct 17 '12
51 Lebesgue measurable set that is not a Borel measurable set May 4 '12
43 Calculation of the n-th central moment of the normal distribution $\mathcal{N}(\mu,\sigma^2)$ Dec 19 '11
43 Prove elementarily that $\sqrt[n+1] {(n+1)!} - \sqrt[n] {n!}$ is strictly decreasing Feb 8 '13
38 Characteristic function of a standard normal random variable Nov 27 '11
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