7,893 reputation
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location France
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visits member for 2 years
seen 3 hours ago

I'm a postdoc at LIUM in France, working in Machine Learning (statistical machine translation), although my thesis was on mathematical analysis of Evolutionary Algorithms (EAs), therefore my skills revolve around probability, Markov chains, calc/analysis, asymptotics and a bit of combinatorics.

I'm here mostly to learn and improve my skills, so please don't expect much rigor or proficiency from me.

This is my Academia profile if you are interested in my work for some reason.


3h
answered Calculus (limits)
6h
awarded  Yearling
17h
answered Probability: Linear Seating Arrangement
17h
comment To find a trigonometric limit without Wallis' integrals
OK I admit I never heard of Wallis integral before. Induction+IBS seem like a logical choice for this problem.
17h
comment To find a trigonometric limit without Wallis' integrals
how did you do it? Define $I_n = n \int_{0}^{\frac{\pi}{2}} \sin^{2n}x dx$, do the IBP. You should see the pattern.
17h
comment To find a trigonometric limit without Wallis' integrals
I didn't look too deep, did you try the induction on $n$? I mean take $\sin^{2n} x = \sin x \sin^{2n-1}x$, integrate by parts, etc.
20h
comment radius of convergence for the series $\sum_{n=1}^{\infty}(2^n+3^n+4^n) $ $x^{n}$
@amit: because it guarantees convergence
20h
answered Homework | Find the general solution to the recurrence relation
20h
answered radius of convergence for the series $\sum_{n=1}^{\infty}(2^n+3^n+4^n) $ $x^{n}$
21h
revised Serie $\sum \frac{\cos n -\sin n\pi}{n}$
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21h
revised Serie $\sum \frac{\cos n -\sin n\pi}{n}$
added 14 characters in body
21h
comment Serie $\sum \frac{\cos n -\sin n\pi}{n}$
please see the edit
21h
answered Serie $\sum \frac{\cos n -\sin n\pi}{n}$
1d
comment Analysis of convergence of $\sum \frac{1}{\log^a n}$
Please see the edit
1d
revised Analysis of convergence of $\sum \frac{1}{\log^a n}$
added 466 characters in body
1d
comment How to show the convergence of this infinite series: $\frac{x}{1+x}- \frac{x^2}{1+x^2}+ \frac{x^3}{1+x^3}\dots$
I'm sorry, is the general term $\frac{x^k}{1+x^k}$?
1d
comment Analysis of convergence of $\sum \frac{1}{\log^a n}$
There are better ways, I'll explain if he asks.
1d
answered Analysis of convergence of $\sum \frac{1}{\log^a n}$
1d
comment $ \sum n (exp(\frac{1}{n^2})-1) $
You are welcome
1d
comment $ \sum n (exp(\frac{1}{n^2})-1) $
1) Taylor series, 2) consider the function $f(x) = e^x - 1 -x$ and show it increases for all $x>0$