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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 $A^{m1}$? 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 ''msubsets 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 
Jul
1 
awarded  Civic Duty 