Mike Spivey

 165 Why is $1^{\infty}$ considered to be an indeterminate form 127 Can I use my powers for good? 89 Intuition behind using complementary CDF to compute expectation for nonnegative random variables 89 Probability density function vs. probability mass function 87 Sample Standard Deviation vs. Population Standard Deviation

### Reputation (43,839)

 +10 Status of a conjecture about powers of 2 +10 How do I convert a vector field in Cartesian coordinates to spherical coordinates? +10 How to prove $\log n < n$? +10 Sample Standard Deviation vs. Population Standard Deviation

### Questions (27)

 116 Proving an alternating Euler sum: $\sum_{k=1}^{\infty} \frac{(-1)^{k+1} H_k}{k} = \frac{1}{2} \zeta(2) - \frac{1}{2} \log^2 2$ 101 Nice proofs of $\zeta(4) = \frac{\pi^4}{90}$? 94 Ways to evaluate $\int \sec \theta \, \mathrm d \theta$ 69 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 51 Designing an Irrational Numbers Wall Clock

### Tags (161)

 812 combinatorics × 104 438 statistics × 45 802 probability × 90 370 real-analysis × 25 524 binomial-coefficients × 65 267 optimization × 46 461 calculus × 30 257 linear-programming × 47 441 sequences-and-series × 43 245 summation × 21