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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.


11h
comment Height of Recursion Tree for $T(n, k) = T(n/2, k) + T(n, k/4) + kn$
$$T(n,k)=T(n/2,k)+T(n,k/4)+nk\implies T(n,k)\gt nk$$
11h
comment Height of Recursion Tree for $T(n, k) = T(n/2, k) + T(n, k/4) + kn$
Interesting. One may note that, if $a\gt0$ then every $T(n,k)\gt0$ hence, skipping most of the RHS of the recursion yields $T(n,k)\geqslant nk$ for every $(n,k)$ such that $n\geqslant2$ and $k\geqslant2$.
11h
answered Height of Recursion Tree for $T(n, k) = T(n/2, k) + T(n, k/4) + kn$
13h
comment Integral of Normal Distribution with imaginary unit
Or check this.
13h
comment A function relating $k$ and $j$, where $k=\max_{l\in \mathbb{N}}\sum_{i=0}^{l}2^{n-i}\leq j$ and $n= \lfloor \log_{2}j \rfloor$
You mean, to compute the generating function (in the usual sense of the term) $\sum\limits_{j=1}^{+\infty}k(j)x^j$, perhaps? (Unrelated: I see you edited heavily this thread of comments. This is a good thing, in a way, but you might want to delete still another one.)
13h
revised The system $\dot{x}=x^2$, $\dot y=-y$, has infinitely many (local) center manifolds
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15h
revised The system $\dot{x}=x^2$, $\dot y=-y$, has infinitely many (local) center manifolds
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15h
revised The system $\dot{x}=x^2$, $\dot y=-y$, has infinitely many (local) center manifolds
edited title
15h
answered The system $\dot{x}=x^2$, $\dot y=-y$, has infinitely many (local) center manifolds
16h
comment If $x^2 a x=a^{-1}$, then $a$ has a cube root.
Did you take the time to digest the answers to your previous question on this very topic? If I were trying to master the subject, this is what I would do before firing new questions.
16h
revised Prove that the series $\sum\limits_{n=0}^{\infty}X_n$ converges almost surely
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16h
revised Prove that the series $\sum\limits_{n=0}^{\infty}X_n$ converges almost surely
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16h
comment $|p- \dfrac xn|>|q- \dfrac xn|$ $\implies$ $p^x(1-p)^{n-x}<q^x(1-q)^{n-x}$?
Obvious counterexamples, say with $(n,x)=(3,2)$. "what additional property" Not a real question, I am afraid.
17h
awarded  Nice Answer
18h
comment Continuous time Markov chain autocorrelation
@Seth Ouch! Not. At. All. Suggestion: try to find some definition of "Markov process".
18h
answered If $a^3=e$, then $a$ has a square root.
18h
comment Disk of convergence of the series $ \sum\limits_{n=1}^\infty n!\,(z-i)^{n!} $
?? Well, following my answer... which has nothing intuitive in the sense of not-fully-justified, thank you.
18h
comment Parity of the sum of consecutive Bernoulli random variables
A useful formulation of $Y_i$ is $$Y_i=\mathbf 1_{X_i\ne X_{i+1}}.$$
18h
revised Disk of convergence of the series $ \sum\limits_{n=1}^\infty n!\,(z-i)^{n!} $
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18h
revised Disk of convergence of the series $ \sum\limits_{n=1}^\infty n!\,(z-i)^{n!} $
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