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 May 31 comment Second pair of matching birthdays My statement is "ball lands in an occupied bin" twice; that would encompass both or your scenarios. (Restricting to either of your two sub-cases would be interesting problems as well... I would be happy to see a solution to any of them.) May 31 asked Second pair of matching birthdays May 26 revised Expected tail and head length of $\rho$ for a finite random function deleted 11 characters in body May 18 awarded Nice Answer Apr 28 answered Pythagorean theorem and its cause Apr 24 comment Expected length of a sequence that contains all words of a given length. I know I'm getting old when a related question was asked by me and I have no memory of asking it. Apr 24 asked Expected length of a sequence that contains all words of a given length. Apr 21 comment Prove or disprove isomorphic graphs It should be classified as "group theory" instead of "graph theory." Even if this problem came from graph theory, your presentation of it leaves no trace of that evolution and you've given it as a pure group theory problem. Apr 21 answered Prove or disprove isomorphic graphs Apr 10 answered Classifying Algebraic Structures as Fields Mar 25 comment What do the symbols d/dx and dy/dx mean? The confusion often arises from the fact that many writers call $dy/dx$ a "symbol" as if it were atomic, but then later start doing algebra with it. This leads to the question, "well, then what is $dy$ really?" Mar 10 comment Summation of element of a subset and divition I think your two added assumptions are reasonable enough to make the original question interesting. But 8 feels quite arbitrary now. Mar 8 comment Summation of element of a subset and divition Technically, it is true: the empty set is always a subset of $A$ and 8 divides 0. Mar 6 revised How to prove $\det(e^A) = e^{\operatorname{tr}(A)}$? edited title Mar 1 comment Continued Fraction [1,1,1,…] You're welcome. This is the cutest (and most elementary) solution I could think of. Good luck. Feb 26 answered Continued Fraction [1,1,1,…] Feb 26 comment Continued Fraction [1,1,1,…] I think this is the argument the OP already has but is worried about. But thanks for the lovely typesetting nonetheless. :) Feb 16 awarded Yearling Feb 14 answered Prove that if $n$ is a composite and $p \gt \sqrt[3]n$, then $n/p$ is a prime. Jan 19 comment Given $N$, find $ab = N$ with $a$ and $b$ as close as possible Correct, which is why I was careful to not claim that it was. If you know an efficient (meaning poly-time) factoring algorithm, please send me a private note and we'll write a paper. Or start a company. Or be captured/assassinated before we can do either...