Thomas Ahle
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 Mar16 revised Probability that colored balls are separated added 1 character in body Mar16 answered Probability that colored balls are separated Feb25 accepted Probability that colored balls are separated Feb24 comment Probability that colored balls are separated Something about, that in the dependent case, once you have a separated box, it increases the chance that a later box is mixed. Feb24 comment Probability that colored balls are separated I suppose in the first case we don't really need to assume poisson. The main assumption is that the boxes are independent. If we use this assumption with the uniform distribution we get $((1-1/n)^r+(1-1/n)^b-(1-1/n)^{r+b})^n$. I'm sure there must be a good argument for why that's an upper bound. Just can't think of it right now. Feb24 revised Probability that colored balls are separated added 51 characters in body Feb24 asked Probability that colored balls are separated Feb14 awarded Yearling Feb11 comment Approximating a binomial sum over a simplex I see how I may split the product when integrating over a rectangle, but how about over a triangle? Like $x+y\le K$? Feb11 asked Approximating a binomial sum over a simplex Feb3 answered How to compute the volume of intersection between two hyperspheres Jan15 comment Given an infinite number of monkeys and an infinite amount of time, would one of them write Hamlet? Indeed the probability that some string is not a substring of the first $n$ letters falls exponentially. So we'd get the substring very fast ;-) Jan15 comment Non-Geometric Proof of Random Normal Projection Identity Isn't $\sum_i r_i(x_i-y_i) \geq 0$ a weaker condition than $\sum_i r_i x_i\geq 0\wedge \sum_i r_i y_i\geq 0$? Jan15 comment Probability: Conditioning on two givens? Sample space then Jan15 answered Probability: Conditioning on two givens? Jan15 asked Non-Geometric Proof of Random Normal Projection Identity Jan1 comment Geometric interpretation of $x_1^2y_1^2+x_2^2y_2^2+x_3^2y_3^2+\dots$ That's a really interesting observation. I suppose that means hints there are not actually any geometrical interpretations? Dec28 revised Geometric interpretation of $x_1^2y_1^2+x_2^2y_2^2+x_3^2y_3^2+\dots$ edited tags Dec28 asked Geometric interpretation of $x_1^2y_1^2+x_2^2y_2^2+x_3^2y_3^2+\dots$ Dec14 comment Algorithm(s) for computing an elementary symmetric polynomial How fast is this then? After expanding the $(x_1-\triangle)^{i-1}$ don't you still have to do $O(n^2)$ work?