Robby McKilliam
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 Sep 4 comment Demonstrating that rigour is important Still, I did like Daniel's plane story :) Sep 4 comment Demonstrating that rigour is important This is a bit off topic, but related to gowers last sentence. I don't really like the idea of having to justify that proof is important. I think asking the question Why?' is natural and important in its own right. Curiosity appears to be built in to us. 'Why?' drives a significant portion of the sciences and humanities and everyday life. It would be hard to deny that our active desire to satisfy this inbuilt curiosity is at least partially responsible for human advance (whatever that is). For me, trying to find specific examples where having a proof saves lives' cheapens the whole process. Sep 3 comment Demonstrating that rigour is important Way to ruin the story Richard! Sep 3 comment Demonstrating that rigour is important That Strong Law of Large Numbers paper is fantastic! Sep 2 comment Integral positive definite quadratic forms and graphs I know $K_n$ is the complete graph and $C_n$ is a cycle graph and I am assuming that $E_n$ is the empty graph. What are $A_n$ and $D_n$? Aug 16 accepted Maximum differences in sorted vectors of naturals Aug 14 comment Maximum differences in sorted vectors of naturals Neat idea. I think you might mean $A^{m-1}$? Also, don't you need to sum all of the elements in the matrix, not just those above and on the diagonal? Aug 13 asked Maximum differences in sorted vectors of naturals Aug 13 accepted Minimum differences in vectors of naturals Aug 13 comment Minimum differences in vectors of naturals Indeed, I mean vectors. I have fixed the title. I have made a bit of a mess of this question! And multiplying Peters answer by $m!$ as you have said give the desired result. Aug 13 revised Minimum differences in vectors of naturals edited title Aug 12 revised Minimum differences in vectors of naturals edited title Aug 12 revised Minimum differences in vectors of naturals edited body Aug 12 revised Minimum differences in vectors of naturals deleted 21 characters in body Aug 12 comment Minimum differences in vectors of naturals My comment makes no sense! Repetition implies that $d(S) = 0$. I'm going to have to stop and think about what I am asking. Aug 12 revised Minimum differences in vectors of naturals added 112 characters in body Aug 12 comment Minimum differences in vectors of naturals Hi Peter, I don't think this is correct. With ''m-subsets of $\{1,2,\cdots,n\}$'' you are not allowing repetition, but I mean for the question to allow repetition. This is wholly my fault, I should never have called $S$ a set! Aug 12 revised Minimum differences in vectors of naturals added 8 characters in body Aug 12 asked Minimum differences in vectors of naturals Aug 9 comment The density of x_1^n+x_2^n where x_i are Gaussian This question might work better on stats.stackexchange.com