Michael Zhao
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### Answers (15)

 10 Expected Value of a Binomial distribution? 5 Show $\sum_{n=0}^\infty\frac{1}{a^2+n^2}=\frac{1+a\pi\coth a\pi}{2a^2}$ 3 How to prove an Inequality 2 Funny thing. Multiplying both the sides by 0? 2 Is this question proper? “Solve $\log_{10}x\in\mathbb{R}$.”

### Reputation (631)

 +10 Combination with repetitions. +40 Expected Value of a Binomial distribution? +5 Help with integrating $\displaystyle \int_0^{\infty} \dfrac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration? +10 Show $\sum_{n=0}^\infty\frac{1}{a^2+n^2}=\frac{1+a\pi\coth a\pi}{2a^2}$

### Questions (2)

 8 Help with integrating $\displaystyle \int_0^{\infty} \dfrac{(\log x)^2}{x^2 + 1} \operatorname d\!x$ - contour integration? 6 Concurrency of A'L, B'M, C'N.

### Tags (29)

 15 combinatorics × 4 3 algebra-precalculus 13 probability × 3 3 inequality 12 binomial-coefficients × 2 2 elementary-set-theory 10 probability-distributions 2 fake-proofs 5 sequences-and-series 2 notation

### Accounts (6)

 Mathematics 631 rep 28 TeX - LaTeX 140 rep 14 Stack Overflow 101 rep 1 Physics 101 rep 1 Philosophy 101 rep 1

### Badges (9)

 Nice Answer Teacher Popular Question Supporter Yearling × 2 Student Commentator Editor Scholar

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