8,853 reputation
3827
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location France
age
visits member for 2 years, 5 months
seen 5 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.


7h
comment Limit problems and quandaries: finding $\lim_\limits{n\to \infty } {({n^2-n\over n^2+1})^{n+10} }$.
'unless you get an indeterminate form' - i.e. iff both limits exist
9h
comment Limit problems and quandaries: finding $\lim_\limits{n\to \infty } {({n^2-n\over n^2+1})^{n+10} }$.
$\lim fg = \lim f \lim g$ unless you get an indeterminate form
9h
answered Limit problems and quandaries: finding $\lim_\limits{n\to \infty } {({n^2-n\over n^2+1})^{n+10} }$.
10h
comment A lower bound for $\log\left( \frac{a+x^2}{b+x^2}\right)$
'x is a complicated function of another variable' - then it's not $x$, it's some $h(x)$. What exactly function is it? This may help.
10h
comment A lower bound for $\log\left( \frac{a+x^2}{b+x^2}\right)$
What's your application and how tight do you want it to be?
19h
comment Splitting an integral
just look at the plot of $\ln(x)$, it will become clear
1d
answered Determine if the series diverge or converge?
1d
comment Limit of sequence $ S_n $=$\int_0^1 \frac{nx^{n-1}}{1+x}dx $
math.stackexchange.com/questions/292251/…
1d
comment Need explanation on asymptotic running time results for various functions
$n^{\sin n}$ is unbounded, i.e. it can take very small (e.g. $\frac{1}{1000}$) and very large (e.g. 1000) values infintely often due to $\sin n$ periodicity. Hence we can't find a constant for which the asymptotic ratio will hold
2d
answered Need explanation on asymptotic running time results for various functions
Jan
25
answered Find the coefficient of $x^{4}$ from $(1+x)^{1/3}$
Jan
24
answered The probability of selecting both defective items when taking 10 out of 24
Jan
23
answered I'm having trouble understanding a step of induction.
Jan
23
comment I'm having trouble understanding a step of induction.
it's just the use of the inductive step: $(1+x)^{n+1} = (1+x)^n(1+x) >(1+nx)(1+x)$
Jan
23
answered Convergence of $\sum_{n=1}^{\infty} \int_n^{n+1} e^{- \sqrt x} dx$
Jan
23
comment Probability of winning lottery
It is, quite surprising, 1- probability that 11 or less are winning
Jan
23
answered Counting problem: multiple scenarios for distributing balls into boxes (more boxes than balls)
Jan
22
comment Counting number ways of expressing a given integer as a sum of other integers
en.wikipedia.org/wiki/Partition_%28number_theory%29
Jan
22
comment Finding $\lim_{x\to 0} \frac{(1+\tan x)^{\frac{1}{x}}-e}{x}$
OK I admit to be precise I need to prove that $g'(0)$ exists. It seems to though: wolframalpha.com/input/?i=%281%2Btan%28x%29%29^%281%2Fx%29
Jan
22
answered Finding $\lim_{x\to 0} \frac{(1+\tan x)^{\frac{1}{x}}-e}{x}$