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 May31 accepted What mathematical questions or areas have philosophical implications outside of mathematics? Apr20 awarded Popular Question Apr16 awarded Nice Question Apr16 comment Why are differentiable complex functions infinitely differentiable? Correct, but the derivative of a constant is 0, so the linearity is trivial. It only becomes interesting when we consider the derivative as a transformation from functions to functions Apr15 comment Why are differentiable complex functions infinitely differentiable? Interesting, although the derivative is not a linear transformation from R2->R2, but from f(R2)->f(R2) Jan17 awarded Enlightened Jan17 awarded Nice Answer Jan12 asked Do the positions of the initial dots affect the game sprouts? Dec18 accepted Why isn't there a uniform probability distribution over the positive real numbers? Dec18 revised Probability of picking a random natural number edited title Dec18 asked Why isn't there a uniform probability distribution over the positive real numbers? Dec16 awarded Nice Question Dec15 comment Do your friends on average have more friends than you do? That's a very nice proof. So the core observation is that each edge contributes 2 to the total number of friends, but deg u/deg v+deg v/deg u to the number obtained by adding each person's friend popularity. Also, its worthwhile noting that 2≤x/y+y/x is easily proved using either calculus or the AM-GM inequality, just in case anyone doesn't know that Dec15 accepted Do your friends on average have more friends than you do? Dec15 comment Do your friends on average have more friends than you do? @J.M. I have provided an exact graph theory question that should be answerable mathematically. Does sum(t/f)>sum(f) hold for all graphs or is there a counter example? Dec15 revised Do your friends on average have more friends than you do? added 22 characters in body Dec15 revised Do your friends on average have more friends than you do? added 304 characters in body Dec15 asked Do your friends on average have more friends than you do? Dec11 awarded Quorum Dec11 awarded Convention