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As somebody used to say:

Does research. Smokes. Battles administration. Smokes. Wishes he could stop battling administration so that he could have more time to do research. Smokes some more.

The same. Except I do not smoke.


2d
comment Entry time and hitting time
Hmmm, ok, let us say you try to prove this. And... where is the problem when you try to show this?
Jan
22
comment Entry time and hitting time
You first. Where is the problem when you try to show this?
Jan
21
comment Using Stirling's formula to uniformly bound Bernoulli success probabilities (part 2)
Use $nh(\gamma+1/n)=n(h(\gamma)+h'(\gamma)/n+o(1/n))=nh(\gamma)+h'(\gamma)+o(1)$ hence $2^{nh(\gamma+1/n)}\sim2^{nh(\gamma)+h'(\gamma)}$ in the sense that LHS/RHS$\to1$.
Jan
21
comment Is $\sin\left[{\pi \cdot \frac {1}{\sqrt{n^2+1}+n}}\right]$ decreasing?
If I were you, I would rather try between 0 and pi/2.
Jan
21
reviewed Approve Prove that $\frac{x}{(1+x)\log(1+x)}$ is monotonically decreasing for $x\geq 0$
Jan
21
reviewed Close What function to use to show that the set of positive rational numbers is countable?
Jan
21
reviewed Close For a non-unit element $x$ in a unital ring, does non-zero $a$ or $b$ ALWAYS exist s.t. $ax=xb=0$?
Jan
21
reviewed Close Find a recursive equation for wn and provide enough initial conditions so that the values of the wn will be determined by the recursion.
Jan
21
reviewed Close Probablity in dice game
Jan
21
reviewed Close Integral $\int_1^2 1/(x^2 \sqrt{x^2+1}) \, dx$
Jan
21
reviewed Close Convert a q-symmetric channel with p>(q-1\q) to a functioning channel
Jan
21
comment Stability proof of the difference equation y(n+2)-y(n) = 0
You might try δ(ϵ)=ϵ.
Jan
20
comment How can I find the PDF for this random variable?
Unfortunately, the comments made about your previous question (to which you did not see fit to answer in any substantial way) seem to fully apply to the present one.
Jan
20
comment Conditional Expectation Problem With Noise
OK. One remaining option is to revamp the answer into a perfect solution, this way everybody will be happy.
Jan
20
comment Maximum Likelihood Method, finding a minimum
@AlfredYerger Somehow I did answer... :-)
Jan
20
comment Prove this is a Martingale
Mathematically? Read my answer slowly. About your approach to math.SE? Sorry but somehow, I feel this is not my problem.
Jan
20
comment Prove $\sum_{n=1}^{\infty }\frac{\zeta (2n)}{(2^{2n})(n)}=\log(\pi /2)$
@Ehegh: And now the real mystery is: what prevented you to write this down yourself since (unsurprisingly) the exact same technique was explained to you à propos several of your older questions?
Jan
20
comment Prove $\sum_{n=1}^{\infty }\frac{\zeta (2n)}{(2^{2n})(n)}=\log(\pi /2)$
@quid Hmmm... I guess you must be sure of this technicality, hence I stand corrected (thanks) and I will repost my comment to Ehegh.
Jan
20
comment Prove this is a Martingale
It seems only fair that potential answerers be informed of your rather idiosyncratic approach to others' answers, don't you think?
Jan
20
comment Prove this is a Martingale
Rage? Hate? Sincerely, where? Do not flatter yourself, Filippo.