Sasha

41,646 reputation

444109

bio	website	linkedin.com/pub/…
	location	Illinois
	age	38
visits	member for	2 years, 1 month
	seen	2 hours ago
stats	profile views	4,034

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

	41,646 reputation	bio	website	linkedin.com/pub/…	visits	member for	2 years, 1 month
444109 badges		location	Illinois		seen	2 hours ago

summary answers questions tags badges favorites bounties reputation activity

186 Favorites

added views newest activity votes

123

198

votes

answers

kviews

Is $dy/dx$ not a ratio?

calculus

mar 14 at 3:35 isomorphismes 855

186

165

votes

answers

kviews

Proofs that every mathematician should know? [closed]

soft-question big-list

mar 25 at 0:36 Glen O 3,302

137

votes

answers

kviews

Different methods to compute $\sum\limits_{n=1}^\infty \frac{1}{n^2}$

sequences-and-series complex-analysis fourier-analysis big-list faq

may 27 at 7:30 learner 1,768

votes

answers

kviews

Intuition for the definition of the Gamma function?

probability-theory intuition gamma-function

jan 23 at 23:19 Victor Wang 141

votes

answers

kviews

Prove elementarily that $\sqrt[n+1] {(n+1)!} - \sqrt[n] {n!}$ is strictly decreasing

sequences-and-series

apr 3 at 3:36 Mark Hurd 372

votes

answers

kviews

Probability that a stick randomly broken in five places can form a tetrahedron

probability geometry euclidean-geometry recreational-mathematics problem-solving

may 27 at 18:27 B.D 2,224

votes

answers

kviews

What is the Riemann-Zeta function?

terminology complex-analysis prime-numbers riemann-zeta

jan 2 '12 at 14:46 joriki 93.6k

votes

answers

kviews

Self-Contained Proof that $\sum\limits_{n=1}^{\infty} \frac1{n^p}$ Converges for $p > 1$

calculus real-analysis sequences-and-series

sep 24 at 6:50 chatur 117

votes

answer

715

views

Closed form for $\int_0^\infty\ln\frac{J_\mu(x)^2+Y_\mu(x)^2}{J_\nu(x)^2+Y_\nu(x)^2}\mathrm dx$

special-functions improper-integrals closed-form

may 28 at 4:54 The Shadow 666

votes

answers

kviews

Convergence of $np(n)$ where $p(n)=\sum_{j=\lceil n/2\rceil}^{n-1} {p(j)\over j}$

sequences-and-series probability stochastic-processes

nov 25 '10 at 23:04 Community♦ 1

votes

answers

kviews

Showing that $\int\limits_{-a}^a \frac{f(x)}{1+e^{x}} \mathrm dx = \int\limits_0^a f(x) \mathrm dx$, when $f$ is even

homework calculus real-analysis integration

oct 21 at 3:06 user17762 78.4k

votes

answer

kviews

How to determine with certainty that a function has no elementary antiderivative?

calculus proof-strategy

dec 27 at 20:20 Raymond Manzoni 16k

votes

answers

548

views

Looking for a function such that…

functional-analysis functions functional-equations

oct 15 at 21:23 asperanz 161

votes

answers

995

views

Do the Möbius function, totient function, sum of divisors and number of divisors uniquely specify a number?

number-theory

mar 27 at 11:48 azimut 5,783

votes

answer

509

views

A new continued fraction for Apéry's constant, $\zeta(3)$?

number-theory riemann-zeta continued-fractions

nov 25 at 12:24 Ｊ. M. 39.9k

votes

answers

554

views

Symmetry of function defined by integral

calculus

jan 4 at 19:20 Sasha 41.6k

votes

answers

kviews

What is the fastest/most efficient algorithm for estimating Euler's Constant $\gamma$?

sequences-and-series limit numerical-methods estimation eulers-constant

jun 1 at 17:44 Ｊ. M. 39.9k

votes

answers

kviews

What's the probability that a sequence of coin flips never has twice as many heads as tails?

probability

sep 20 '11 at 19:00 Mike Spivey 26.1k

votes

answers

705

views

Strange Patience Game

probability combinatorics

may 16 '12 at 1:51 dspyz 185

votes

answers

kviews

Inequality for expected value

probability inequality

mar 19 '12 at 12:47 Byron Schmuland 15.6k

votes

answers

kviews

Compute $\int \frac{\sin(x)}{\sin(x)+\cos(x)}\mathrm dx$

calculus integral integration indefinite-integral

may 18 at 22:36 Américo Tavares 21.4k

votes

answer

kviews

Is War necessarily finite?

abstract-algebra combinatorics algorithms permutations game-theory

dec 25 at 7:20 Alexander Gruber♦ 15.8k

votes

answer

485

views

Prove that $\sum_{k=1}^{\infty} \large\frac{k}{\text{e}^{2\pi k}-1}=\frac{1}{24}-\frac{1}{8\pi}$

calculus real-analysis sequences-and-series

jan 10 at 20:12 Chris's wise sister 11.6k

votes

answer

487

views

A Bernoulli number identity and evaluating $\zeta$ at even integers

riemann-zeta bernoulli-numbers

may 2 at 21:37 Graham Hesketh 1,115

votes

answers

kviews

How do I integrate the following? $\int{\frac{(1+x^{2})\mathrm dx}{(1-x^{2})\sqrt{1+x^{4}}}}$

calculus integral

jan 7 '11 at 17:45 vesszabo 1,493

votes

answers

436

views

An integral involving Fresnel integrals $\int_0^\infty \left(\left(2\ S(x)-1\right)^2+\left(2\ C(x)-1\right)^2\right)^2 x\ \mathrm dx,$

special-functions improper-integrals closed-form fresnel-integrals

may 29 at 5:28 Ｊ. M. 39.9k

votes

answers

501

views

Computing $ \sum\limits_{i=1}^{\infty}\sum\limits_{j=1}^{\infty} \frac{(-1)^{i+j}}{i+j}$

sequences-and-series limit

apr 13 '12 at 12:58 GEdgar 19.6k

votes

answers

744

views

Fermat's Last Theorem and Kummer's Objection

number-theory ring-theory algebraic-number-theory field-theory factoring

dec 25 at 23:46 BenjaLim 17.7k

votes

answers

444

views

How to prove that $\int_0^1\left(\sum_{k=n}^\infty {x^k\over k}\right)^2\,dx = \int_0^1 2x^{n-1}\log\left(1+{1\over\sqrt{x}}\right)\,dx.$

integral

may 21 '12 at 5:04 Did 107k

votes

answer

682

views

How does $ \sum_{p<x} p^{-s} $ grow asymptotically for $ \text{Re}(s) < 1 $?

number-theory asymptotics analytic-number-theory

nov 13 at 17:04 Eric 33.7k