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Apr
9
comment How many sides does a circle have?
@Douglas Zare: C?
Apr
9
awarded  Nice Question
Apr
8
asked How many sides does a circle have?
Apr
8
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.
Apr
7
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.
Apr
7
answered $n=8\log_2(n)$, forgot basic math
Apr
7
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.
Apr
6
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.
Apr
5
answered Intermediate Text in Combinatorics?
Mar
31
accepted Expected tail and head length of $\rho$ for a finite random function
Mar
30
revised Expected tail and head length of $\rho$ for a finite random function
added 99 characters in body; added 1 characters in body
Mar
30
awarded  Organizer
Mar
30
revised Why does $a_n = (1+\frac{2}{n})^{n}$ converge to $e^2$?
edited tags
Mar
29
revised Expected tail and head length of $\rho$ for a finite random function
added 22 characters in body
Mar
29
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
Mar
29
answered Expected tail and head length of $\rho$ for a finite random function
Mar
28
revised Expected tail and head length of $\rho$ for a finite random function
added 837 characters in body; added 39 characters in body
Mar
28
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 ?
Mar
28
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.
Mar
28
asked Expected tail and head length of $\rho$ for a finite random function