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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.


How to ask a good question?

This paragraph is for my personal use but freely available:

Welcome to Math.SE! Please, consider updating your question to include what you have tried and where you are getting stuck. That way, people on this site will know exactly what help you need.


Apr
23
awarded  Nice Answer
Apr
23
answered how to show uniform convergence for sequence $u_n(z) = n z e^{-nz^2}$ such that $\Re[z^2] > 0$
Apr
23
answered Why is there “markov property” in proving the renewal equation for a renewal process?
Apr
23
revised Martingale equality
edited tags
Apr
23
answered Martingale equality
Apr
23
reviewed Close The Equation and Number of units
Apr
23
revised Two martingales whose distributions agree for each time have the same overall distribution
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Apr
23
revised Why isn't $\lim \limits_{x\to\infty}(1+\frac{1}{x})^{x}= 1$?
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Apr
23
answered Why isn't $\lim \limits_{x\to\infty}(1+\frac{1}{x})^{x}= 1$?
Apr
23
answered Using empirical density function as an estimator of a given probability density
Apr
23
revised Two martingales whose distributions agree for each time have the same overall distribution
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Apr
23
answered Two martingales whose distributions agree for each time have the same overall distribution
Apr
22
revised We have $f_n(a_n)=1$ and $(\forall k> n)(f_n(a_{k})=0)$ in a metric space and all $f_n$ are uniformly continuous. Can $(a_n)$ be convergent?
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Apr
22
revised help for convergence of an integral
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Apr
22
comment help for convergence of an integral
+1 from me. A final note: one can simplify the last argument (and replace the semi-convincing appeal to "domination" and the $\sim$ sign, by stone-hard inequalities) using the fact that $\sin3\phi\geqslant6\phi/\pi$ on the interval of interest.
Apr
22
comment If $(a_n)$ is a decreasing sequence of strictly positive numbers and if $\sum{a_n}$ is convergent, show that $\lim{na_n}=0$
Isn't this a multiplicate?
Apr
22
comment help for convergence of an integral
Two quibbles: you forgot the "dz" term; and one must show that $R\times$ the last integral you wrote goes to zero when $R\to\infty$ (which is true but requires an additional argument).
Apr
22
comment help for convergence of an integral
You might want to explain the meanings of $(-1)^{1/3}$, $i^{4/3}$ and the square root.
Apr
22
comment help for convergence of an integral
one may show that the integral over the circular arc is zero... You might want to add details about this step of the proof.
Apr
22
comment differential equations in SIR epidemic model and obtain Ro
@LFRC Here is a suggestion: read the link in my previous comment.