Michael Lugo
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 32 What's your favorite equation, formula, identity or inequality? 30 Sum of 'the first k' binomial coefficients for fixed n 29 Suggestions for good notation 28 Describe a topic in one sentence. 26 Any sum of 2 dice with equal probability

### Reputation (8,779)

 +5 How can I generate random permutations of [n] with k cycles, where k is much larger than log n? +20 If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? +10 When are probability distributions completely determined by their moments? +10 erfc lower bound

### Questions (19)

 52 Teaching statements for math jobs? 45 If you break a stick at two points chosen uniformly, the probability the three resulting sticks form a triangle is 1/4. Is there a nice proof of this? 41 Why are powers of $\exp(\pi\sqrt{163})$ almost integers? 29 Is there a combinatorial reason that the (-1)st Catalan number is -1/2? 22 What relationship, if any, is there between the diameter of the Cayley graph and the average distance between group elements?

### Tags (103)

 195 co.combinatorics × 38 42 soft-question × 19 144 nt.number-theory × 35 41 graph-theory × 10 132 pr.probability × 31 34 prime-numbers × 9 61 asymptotics × 9 32 st.statistics × 9 55 ca.analysis-and-odes × 14 29 analytic-number-theory × 4

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 Mathematics 12,766 rep 22758 MathOverflow 8,779 rep 33463 Cross Validated 361 rep 18 Area 51 336 rep 4 Stack Overflow 101 rep 2