Mike Spivey
Reputation
35,682
277/100 score
6 106 196
Impact
~1.2m people reached

 128 Can I use my powers for good? 121 Why is $1^{\infty}$ considered to be an indeterminate form 68 Anecdotes about famous mathematicians or physicists 50 Prove that $\sum\limits_{k=1}^nk^2 = \frac{n(n+1)(2n+1)}{6}$? 50 Probability density function vs. probability mass function

Reputation (35,682)

 +10 What's the probability that a sequence of coin flips never has twice as many heads as tails? +10 Sample Standard Deviation vs. Population Standard Deviation +5 Nice proofs of $\zeta(4) = \pi^4/90$? +10 Is War necessarily finite?

Questions (27)

 78 Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$ 73 Ways to evaluate $\int \sec \theta \, \mathrm d \theta$ 68 Nice proofs of $\zeta(4) = \pi^4/90$? 61 Combinatorial proof that $\sum \limits_{k=0}^n \binom{2k}{k} \binom{2n-2k}{n-k} (-1)^k = 2^n \binom{n}{n/2}$ when $n$ is even 47 Designing an Irrational Numbers Wall Clock

Tags (156)

 690 combinatorics × 104 304 statistics × 46 637 probability × 91 277 real-analysis × 23 433 binomial-coefficients × 64 221 optimization × 46 359 sequences-and-series × 43 192 analysis × 9 358 calculus × 30 183 linear-programming × 47

Accounts (17)

 Mathematics 35,682 rep 6106196 MathOverflow 2,038 rep 1324 Theoretical Computer Science 326 rep 18 Quantitative Finance 206 rep 18 Cross Validated 163 rep 29