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 Apr9 comment How many sides does a circle have? @Douglas Zare: C? Apr9 awarded Nice Question Apr8 asked How many sides does a circle have? Apr8 comment $n=8\log_2(n)$, forgot basic math The best way to do this is write a 10-line program to find the cross-over point: n=2; while (1) { if 2^n > n^8: {print n; exit;} else n++;}. Since the answer is 44, this would run in < 1 msec. Apr7 comment $n=8\log_2(n)$, forgot basic math @Clash: Then you simply want to show that the growth rate of $2^n$ is higher than $n^8$. You can do this from the definition of $O()$, and you certainly don't need Lambert's W function. Apr7 answered $n=8\log_2(n)$, forgot basic math Apr7 comment $n=8\log_2(n)$, forgot basic math I'm confused. The Wikipedia link you gave for the W func says $z=W(z)e^{W(z)}$ is the defining equation and asserts that $W(e)=1$. But in your answer you say that $W(x)=z$ iff $z=xe^x$ which implies $W(1)=e$, an inverse of the Wikipedia def. Apr6 comment Good resources (book or otherwise) to learn/study basic Combinatorics Brualdi is decent but so error-ridden that it's annoying to read. That was 15 years ago, however... maybe he's finally cleaned it up in the latest editions. Apr5 answered Intermediate Text in Combinatorics? Mar31 accepted Expected tail and head length of $\rho$ for a finite random function Mar30 revised Expected tail and head length of $\rho$ for a finite random function added 99 characters in body; added 1 characters in body Mar30 awarded Organizer Mar30 revised Why does $a_n = (1+\frac{2}{n})^{n}$ converge to $e^2$? edited tags Mar29 revised Expected tail and head length of $\rho$ for a finite random function added 22 characters in body Mar29 revised Expected tail and head length of $\rho$ for a finite random function added 112 characters in body; edited body; added 34 characters in body Mar29 answered Expected tail and head length of $\rho$ for a finite random function Mar28 revised Expected tail and head length of $\rho$ for a finite random function added 837 characters in body; added 39 characters in body Mar28 comment Prove that $n$ is a sum of two squares? Have you looked at en.wikipedia.org/wiki/Fermat%27s_theorem_on_sums_of_two_squares ? Mar28 comment Sum the infinite series $\sum_{n=0}^\infty (2n^7 + n^6 + n^5 + 2n^2)/n!$ Can you suggest some words that would clearly and politely indicate this? Saying, "By the way, I know the answer" seems awkward; I was hoping that using the "puzzle" tag was sufficient. Mar28 asked Expected tail and head length of $\rho$ for a finite random function