8,476 reputation
3826
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location France
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visits member for 2 years, 3 months
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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.


Dec
15
comment Evaluate $\lim_{x\rightarrow 0^{+}}(3^{x}-2^{x})^{{1}/{x}} $
how did you get the asymptotics in the last line?
Dec
15
answered Prove that $\sum_{n=1}^{\infty}\frac{a_{n}}{1+a_{n}}$ converges iff $\sum_{n=1}^{\infty}{a_{n}} $ converges
Dec
13
revised Prove this absolute value related inequality
edited title
Dec
13
comment To prove that $ \lim_{x\to 0^-} \frac{1}{x} = -\infty$, how do we choose $\delta$?
but this is wrong: the limit is 0
Dec
13
comment Evaluating trigonometric limits $\frac{2x-\sin(3x)}{4x-\sin(5x)}$
I don't know; you have too many algebraic manipulations, which usually leads to a higher chance of making some mistake
Dec
13
answered Evaluating trigonometric limits $\frac{2x-\sin(3x)}{4x-\sin(5x)}$
Dec
13
answered Number of permutations of m objects taken out of n objects where an object can repeat any number of times.
Dec
7
answered Simplifying $\frac{x^6-1}{x-1}$
Dec
6
answered Taking the derivative to find horizontal tangent line
Dec
6
revised Taking the derivative to find horizontal tangent line
added 13 characters in body
Dec
6
comment How to find $\lim_{n\to\infty}n\cdot\sin(2\pi\ e\ n!)$?
@JackD'Aurizio: I'm sorry, my question is how you got the limit from $\sin(2 \pi (\frac{1}{n+1} + O(\cdot))$? Did you use the $\sin (a + b) = \sin a \cos b + \cos a \sin b$ expansion?
Dec
6
comment How to find $\lim_{n\to\infty}n\cdot\sin(2\pi\ e\ n!)$?
I'm sorry, what's A here? $\frac{1}{n+1}$?
Dec
6
comment How to find $\lim_{n\to\infty}n\cdot\sin(2\pi\ e\ n!)$?
Did you expand $\sin (a+b)$ in the last step?
Dec
4
revised Solve the recurrence relation by taking the logarithm of both sides and making the substitution $b_n = \lg a_n$
added 11 characters in body
Dec
3
comment Solve the recurrence relation by taking the logarithm of both sides and making the substitution $b_n = \lg a_n$
yeah sorry for the typo
Dec
3
answered Solve the recurrence relation by taking the logarithm of both sides and making the substitution $b_n = \lg a_n$
Nov
28
answered Stationary probability in an M/M/$1$ queue with a lazy server
Nov
22
comment Evaluate $ \lim _{x\to 0}\left(\frac{\sin (3x)}{3x}\right)^{1/x}$
You are welcome
Nov
22
answered Evaluate $ \lim _{x\to 0}\left(\frac{\sin (3x)}{3x}\right)^{1/x}$
Nov
20
answered Show recurrence $T(n)=2*T(n-2)+3$ satisfy $T(n)=O(2^{n/10})$