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Sep
16
revised Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $
edited body
Sep
15
answered Proving : $ \bigl(1+\frac{1}{n+1}\bigr)^{n+1} \gt (1+\frac{1}{n})^{n} $
Sep
15
awarded  Nice Answer
Sep
12
answered Expectation of pairwise differences between uniform random points in hypercube
Sep
12
comment Name for $(1-x)$?
I agree that I'd call it the complement; the further away from probability one gets, though, the less meaningful this name seems.
Sep
9
answered Produce output with certain probability using fair coin flips
Sep
6
comment Given $a_2 = 2$ and $a_{mn}=a_m a_n$ for $m$, $n$ coprime, show $a_n=n$ for all natural numbers
A direct proof is probably easier if one is allowed the further assumption that $f$ is integer-valued.
Sep
6
comment Mathematical equivalent of Feynman's Lectures on Physics?
One reviewer at Amazon explicitly compares this book to the Feynman lectures.
Sep
6
awarded  Nice Answer
Sep
6
awarded  probability
Sep
3
awarded  Enlightened
Sep
3
awarded  Nice Answer
Aug
30
comment “Great Theorems” references
Well, I was going to recommend Journey through Genius, until I clicked on the link...
Aug
29
comment Does “2 bumps” in a histogram suggest 2 underlying populations?
If you think this comes from a negative binomial, you might try generating a bunch of samples from that negative binomial and seeing if their histograms have such bumps.
Aug
27
answered How to obtain the Standard Deviation of a ratio of independent binomial random variables?
Aug
25
comment What does E mean in 9.0122222900391E-5?
In case anyone knows: where is this particular number coming from? There are a large number of google hits for it, many of which are not mirrors of this site, whereas (unsurprisingly) if I change the last decimal place by 1 in either direction there are no hits at all.
Aug
25
answered Evaluating a limit involving an integral
Aug
25
awarded  Nice Answer
Aug
23
answered Evaluating the integral $\displaystyle\int_1^2 \int_x^{2x} \sqrt{\dfrac xy} e^{\tfrac yx}\; dy\; dx$
Aug
12
comment How do you find the formula for an area of the circle through integration?
My point is that it would be nice to have some way to calculate π, for example some integral that it's equal to.