User Mike Spivey

190 votes

Accepted

Why is $1^{\infty}$ considered to be an indeterminate form

answered Nov 15, 2010 at 22:44

151 votes

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Intuition behind using complementary CDF to compute expectation for nonnegative random variables

answered Sep 13, 2011 at 17:07

127 votes

Can I use my powers for good?

answered Oct 12, 2011 at 4:31

117 votes

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Probability density function vs. probability mass function

answered Feb 23, 2011 at 17:25

106 votes

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Sample Standard Deviation vs. Population Standard Deviation

answered Dec 21, 2010 at 21:00

86 votes

Sum of First $n$ Squares Equals $\frac{n(n+1)(2n+1)}{6}$

answered Jun 28, 2011 at 5:10

85 votes

Anecdotes about famous mathematicians or physicists

answered Mar 24, 2011 at 23:14

82 votes

Accepted

Proof that the largest eigenvalue of a stochastic matrix is $1$

answered May 20, 2011 at 23:14

73 votes

Different ways to prove $\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}$ (the Basel problem)

answered Aug 13, 2011 at 21:15

70 votes

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What am I doing when I separate the variables of a differential equation?

answered Mar 16, 2011 at 17:26

68 votes

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Shadow prices in linear programming

answered Dec 14, 2011 at 18:23

66 votes

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How to sum this series for $\pi/2$ directly?

answered Oct 31, 2011 at 19:28

57 votes

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Explain $\iint \mathrm dx\,\mathrm dy = \iint r \,\mathrm \,d\alpha\,\mathrm dr$

answered May 5, 2011 at 0:06

49 votes

A comprehensive list of binomial identities?

answered Oct 7, 2010 at 19:39

48 votes

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Proof of $\frac{(n-1)S^2}{\sigma^2} \sim \chi^2_{n-1}$

answered Jun 22, 2011 at 22:35

43 votes

Real life usage of Benford's Law

answered Oct 27, 2010 at 20:20

40 votes

Lebesgue integral basics

answered Oct 21, 2010 at 19:04

36 votes

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If a 1 meter rope is cut at two uniformly randomly chosen points, what is the average length of the smallest piece?

answered Dec 11, 2010 at 22:49

35 votes

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How much Math do you REALLY do in your job?

answered Feb 1, 2013 at 6:56

34 votes

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Evaluate $\int_0^1\ln(1-x)\ln x\ln(1+x)\,\mathrm dx$

answered Jan 11, 2013 at 5:28

34 votes

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Combinatorial interpretation of sum of squares, cubes

answered Dec 29, 2011 at 22:31

34 votes

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How to prove $\log n < n$?

answered Sep 17, 2011 at 3:04

33 votes

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Combinatorial interpretation of Binomial Inversion

answered Aug 15, 2011 at 17:40

33 votes

Expectation of the maximum of i.i.d. geometric random variables

answered Mar 10, 2011 at 16:50

32 votes

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another balls and bins question

answered Mar 25, 2011 at 3:43

32 votes

Accepted

Expected number of unique items when drawing with replacement

answered May 26, 2011 at 15:53

32 votes

Striking applications of integration by parts

answered Feb 4, 2011 at 17:51

30 votes

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How can I compute $\sum\limits_{k = 1}^n \frac{1} {k + 1}\binom{n}{k} $?

answered Sep 20, 2011 at 16:48

30 votes

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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

answered Jan 11, 2012 at 22:54

30 votes

Accepted

Triple Euler sum result $\sum_{k\geq 1}\frac{H_k^{(2)}H_k }{k^2}=\zeta(2)\zeta(3)+\zeta(5)$

answered Jan 2, 2014 at 5:24

Stack Exchange Network

395 Answers

Why is $1^{\infty}$ considered to be an indeterminate form

Intuition behind using complementary CDF to compute expectation for nonnegative random variables

Can I use my powers for good?

Probability density function vs. probability mass function

Sample Standard Deviation vs. Population Standard Deviation

Sum of First $n$ Squares Equals $\frac{n(n+1)(2n+1)}{6}$

Anecdotes about famous mathematicians or physicists

Proof that the largest eigenvalue of a stochastic matrix is $1$

Different ways to prove $\sum_{k=1}^\infty \frac{1}{k^2}=\frac{\pi^2}{6}$ (the Basel problem)

What am I doing when I separate the variables of a differential equation?

Shadow prices in linear programming

How to sum this series for $\pi/2$ directly?

Explain $\iint \mathrm dx\,\mathrm dy = \iint r \,\mathrm \,d\alpha\,\mathrm dr$

A comprehensive list of binomial identities?

Proof of $\frac{(n-1)S^2}{\sigma^2} \sim \chi^2_{n-1}$

Real life usage of Benford's Law

Lebesgue integral basics

If a 1 meter rope is cut at two uniformly randomly chosen points, what is the average length of the smallest piece?

How much Math do you REALLY do in your job?

Evaluate $\int_0^1\ln(1-x)\ln x\ln(1+x)\,\mathrm dx$

Combinatorial interpretation of sum of squares, cubes

How to prove $\log n < n$?

Combinatorial interpretation of Binomial Inversion

Expectation of the maximum of i.i.d. geometric random variables

another balls and bins question

Expected number of unique items when drawing with replacement

Striking applications of integration by parts

How can I compute $\sum\limits_{k = 1}^n \frac{1} {k + 1}\binom{n}{k} $?

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

Triple Euler sum result $\sum_{k\geq 1}\frac{H_k^{(2)}H_k }{k^2}=\zeta(2)\zeta(3)+\zeta(5)$