User grand_chat - Mathematics Stack Exchange

59 votes

Density of sum of two independent uniform random variables on $[0,1]$

answered Oct 22, 2018 at 23:16

50 votes

Intuition behind logarithm inequality: $1 - \frac1x \leq \log x \leq x-1$

answered Jun 7, 2019 at 0:29

27 votes

Accepted

Numerical Analysis: Why this function is giving Sage / WolframAlpha so much trouble to integrate?

answered Sep 3, 2016 at 4:16

21 votes

Accepted

Probability that sum of independent uniform variables is less than 1

answered Mar 4, 2016 at 23:39

18 votes

The frog puzzle

answered Mar 5, 2016 at 4:33

18 votes

Why does the median minimize $E(|X-c|)$?

answered May 21, 2018 at 18:05

17 votes

Accepted

Bishop ML and pattern recognition calculus of variations linear regression loss function

answered Feb 5, 2017 at 15:32

17 votes

To sum $1+2+3+\cdots$ to $-\frac1{12}$

answered Feb 21, 2015 at 22:32

17 votes

Accepted

Understanding The Math Behind Elchanan Mossel’s Dice Paradox

answered Oct 9, 2017 at 2:51

16 votes

Accepted

Why does the limit definition of e fail?

answered Nov 30, 2020 at 22:54

15 votes

If $E[X|Y]=Y$ almost surely and $E[Y|X]=X$ almost surely then $X=Y$ almost surely

answered Dec 19, 2018 at 18:04

13 votes

Random Dental Floss Odds

answered Aug 29, 2018 at 7:22

13 votes

How can this "illegal geometry" problem be possible?

answered Sep 2, 2017 at 0:39

13 votes

Accepted

Cumulative sum over random numbers gives interesting results

answered Apr 26, 2018 at 5:44

13 votes

Proving that the characteristic function is uniformly continous.

answered Apr 22, 2015 at 23:21

13 votes

Accepted

Does this math formula with $1/PI\begin{cases}^\infty_{-\infty}\end{cases}$ mean anything?

answered May 22, 2015 at 17:17

12 votes

The Typewriter Sequence

answered Aug 28, 2015 at 0:43

12 votes

Accepted

What is the expected number of suits in a hand of 4 cards?

answered Apr 22, 2015 at 22:13

12 votes

Accepted

Combinatorial proof of $\sum_{k=1}^n k k!=(n+1)!-1$

answered Mar 20, 2015 at 20:36

12 votes

Accepted

Expectation of a mixed random variable given only the CDF

answered Feb 9, 2017 at 20:12

12 votes

Accepted

Integral of conditional probability density function

answered Jun 1, 2016 at 18:12

11 votes

Accepted

limsup/liminf of a random variable?

answered May 14, 2015 at 17:47

11 votes

$P(X>0,Y>0)$ for a bivariate normal distribution with correlation $\rho$

answered Dec 12, 2018 at 22:44

11 votes

How can we evaluate this integral from the 2020 UC Berkeley Integration Bee?

answered Apr 17, 2020 at 17:21

10 votes

Accepted

Linear regression without intercept: formula for slope

answered Jul 18, 2019 at 18:09

10 votes

How to show $e^x$ and $\ln x$ do not intersect?

answered Apr 26, 2018 at 6:27

10 votes

Accepted

Understanding the $\sigma$-algebra of a sum of random variables

answered May 11, 2016 at 17:32

9 votes

Conditional Expectation of Gaussian Random Vector of length n

answered Mar 30, 2017 at 0:07

9 votes

What's the closest anyone has got to trisecting an angle with compass and straghtedge?

answered Jan 17, 2017 at 4:22

9 votes

Accepted

If $x$ and $y$ are real and $x^2 + y^2 = 1$, compute the maximum value of $(x+y)^2.$

answered Sep 16, 2016 at 21:07

Stack Exchange Network

1,437 Answers

Density of sum of two independent uniform random variables on $[0,1]$

Intuition behind logarithm inequality: $1 - \frac1x \leq \log x \leq x-1$

Numerical Analysis: Why this function is giving Sage / WolframAlpha so much trouble to integrate?

Probability that sum of independent uniform variables is less than 1

The frog puzzle

Why does the median minimize $E(|X-c|)$?

Bishop ML and pattern recognition calculus of variations linear regression loss function

To sum $1+2+3+\cdots$ to $-\frac1{12}$

Understanding The Math Behind Elchanan Mossel’s Dice Paradox

Why does the limit definition of e fail?

If $E[X|Y]=Y$ almost surely and $E[Y|X]=X$ almost surely then $X=Y$ almost surely

Random Dental Floss Odds

How can this "illegal geometry" problem be possible?

Cumulative sum over random numbers gives interesting results

Proving that the characteristic function is uniformly continous.

Does this math formula with $1/PI\begin{cases}^\infty_{-\infty}\end{cases}$ mean anything?

The Typewriter Sequence

What is the expected number of suits in a hand of 4 cards?

Combinatorial proof of $\sum_{k=1}^n k k!=(n+1)!-1$

Expectation of a mixed random variable given only the CDF

Integral of conditional probability density function

limsup/liminf of a random variable?

$P(X>0,Y>0)$ for a bivariate normal distribution with correlation $\rho$

How can we evaluate this integral from the 2020 UC Berkeley Integration Bee?

Linear regression without intercept: formula for slope

How to show $e^x$ and $\ln x$ do not intersect?

Understanding the $\sigma$-algebra of a sum of random variables

Conditional Expectation of Gaussian Random Vector of length n

What's the closest anyone has got to trisecting an angle with compass and straghtedge?

If $x$ and $y$ are real and $x^2 + y^2 = 1$, compute the maximum value of $(x+y)^2.$