Sasha

41,361 reputation

443109

bio	website	linkedin.com/pub/…
	location	Illinois
	age	38
visits	member for	2 years
	seen	4 hours ago
stats	profile views	3,914

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

	41,361 reputation	bio	website	linkedin.com/pub/…	visits	member for	2 years
443109 badges		location	Illinois		seen	4 hours ago

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990 Answers

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38	Is the integral $\int_0^\infty \frac{\mathrm{d} x}{(1+x^2)(1+x^a)}$ equal for all $a \neq 0$?
25	Proving $ \int_{0}^{\infty} \frac{\ln(t)}{\sqrt{t}}e^{-t} \mathrm dt=-\sqrt{\pi}(\gamma+\ln{4})$
24	Prove elementarily that $\sqrt[n+1] {(n+1)!} - \sqrt[n] {n!}$ is strictly decreasing
22	Math and mental fatigue
21	Calculate sum of $\sum_{n=1}^{\infty}(-1)^n\frac{\ln n}{n}$

41,361 Reputation

+10	Define integral for $\gamma,\zeta(i) i\in\mathbb{N}$ and Stirling numbers of the first kind
+10	Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$
+10	Is this series expressible in terms of Gauss' hypergeometric function?
+10	Calculate sum of $\sum_{n=1}^{\infty}(-1)^n\frac{\ln n}{n}$

36 Questions

votes activity newest

23	Probability for the length of the longest run in $n$ Bernoulli trials
13	How does one prove $\int_0^\infty \prod_{k=1}^\infty \operatorname{\rm sinc}\left( \frac{t}{2^{k+1}} \right) \mathrm{d} t = 2 \pi$
12	Large $n$ asymptotic of $\int_0^\infty \left( 1 + x/n\right)^{n-1} \exp(-x) \, \mathrm{d} x$
9	Detecting symmetric matrices of the form (low-rank + diagonal matrix)
8	Seeking analytic proof for $\sum_{n=r}^\infty \frac{1}{n!}\left[ n-1 \atop r-1 \right] = 1$

217 Tags

767 calculus × 150	231 probability-distributions × 112
665 integral × 122	229 real-analysis × 40
564 probability × 250	225 special-functions × 66
415 sequences-and-series × 89	210 integration × 50
344 homework × 117	192 definite-integral × 40