User Shai Covo - Mathematics Stack Exchange

66 votes

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Symbol for elementwise multiplication of vectors

answered Jul 20, 2011 at 6:21

43 votes

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How to calculate percentage of value inside arbitrary range?

answered Jul 14, 2011 at 21:27

43 votes

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How to integrate $ \int x^n e^x dx$?

answered Jun 20, 2011 at 14:31

42 votes

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Probability of a point taken from a certain normal distribution will be greater than a point taken from another?

answered May 20, 2011 at 9:21

34 votes

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Are functions of independent variables also independent?

answered Nov 3, 2010 at 13:42

30 votes

Finite sub cover for $(0,1)$

answered Dec 1, 2010 at 8:20

29 votes

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Probability that a quadratic polynomial with random coefficients has real roots

answered Mar 27, 2011 at 6:02

22 votes

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Inverse of $y=xe^x$

answered Nov 14, 2010 at 17:07

21 votes

Linearity of convergence in distribution of random variables

answered Nov 9, 2010 at 18:31

20 votes

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PDF of product of variables

answered Aug 4, 2011 at 23:08

18 votes

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if $\int_1^{\infty}f(x)\ \mathrm dx$ converges, must $\int_1^{\infty}f(x)\sin x\ \mathrm dx$ converge?

answered Dec 2, 2010 at 13:24

18 votes

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Definition of mean as an integral over the CDF

answered Feb 20, 2011 at 5:17

17 votes

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Proving that $\lim\limits_{x\to\infty}f'(x) = 0$ when $\lim\limits_{x\to\infty}f(x)$ and $\lim\limits_{x\to\infty}f'(x)$ exist

answered May 31, 2011 at 5:27

17 votes

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If $\int_0^x f \ dm$ is zero everywhere then $f$ is zero almost everywhere

answered Jan 4, 2011 at 6:09

16 votes

If $f'$ tends to a positive limit as $x$ approaches infinity, then $f$ approaches infinity

answered Jul 15, 2011 at 10:37

15 votes

Monotone+continuous but not differentiable

answered Jan 11, 2011 at 8:23

15 votes

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Meaning of non-existence of expectation?

answered Apr 10, 2011 at 8:16

14 votes

Does $\sum \limits_{n=1}^\infty\frac{\sin n}{n}(1+\frac{1}{2}+\cdots+\frac{1}{n})$ converge (absolutely)?

answered Dec 31, 2010 at 11:05

14 votes

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What is the name of the vertical bar in $(x^2+1)\vert_{x = 4}$ or $\left.\left(\frac{x^3}{3}+x+c\right) \right\vert_0^4$?

answered Jul 20, 2011 at 15:14

13 votes

Intuition behind Conditional Expectation

answered Feb 24, 2011 at 21:17

13 votes

Please show $\int_0^\infty x^{2n} e^{-x^2}\mathrm dx=\frac{(2n)!}{2^{2n}n!}\frac{\sqrt{\pi}}{2}$ without gamma function?

answered Mar 14, 2011 at 14:47

12 votes

convex function in open interval is continuous

answered Mar 2, 2011 at 23:16

12 votes

In a family with two children, what are the chances, if one of the children is a girl, that both children are girls?

answered Dec 21, 2010 at 12:47

12 votes

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Probability distribution of the maximum of random variables

answered Nov 25, 2010 at 19:51

12 votes

Showing $a^2 < b^2$, if $0 < a < b$

answered Jul 21, 2011 at 12:46

12 votes

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Does any moment generating function implies an existence of moments?

answered Jul 8, 2011 at 10:34

12 votes

How do you prove that $n^n$ is $O(n!^2)$?

answered Jun 22, 2011 at 12:42

12 votes

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Why $\lim_{n\to\infty}\int_{0}^1f_n(x)dx=\int_{0}^1(\lim_{n\to\infty}f_n(x))dx$?

answered Jun 6, 2011 at 23:56

12 votes

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Evaluating a limit, $\lim\limits_{t\rightarrow 0^{+}} {\sum\limits_{n=1} ^{\infty} \frac{\sqrt{t}}{1+tn^2}}$

answered Aug 17, 2011 at 6:05

11 votes

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Change of order of double limit of function sequence

answered Jun 14, 2011 at 17:00

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468 Answers

Symbol for elementwise multiplication of vectors

How to calculate percentage of value inside arbitrary range?

How to integrate $ \int x^n e^x dx$?

Probability of a point taken from a certain normal distribution will be greater than a point taken from another?

Are functions of independent variables also independent?

Finite sub cover for $(0,1)$

Probability that a quadratic polynomial with random coefficients has real roots

Inverse of $y=xe^x$

Linearity of convergence in distribution of random variables

PDF of product of variables

if $\int_1^{\infty}f(x)\ \mathrm dx$ converges, must $\int_1^{\infty}f(x)\sin x\ \mathrm dx$ converge?

Definition of mean as an integral over the CDF

Proving that $\lim\limits_{x\to\infty}f'(x) = 0$ when $\lim\limits_{x\to\infty}f(x)$ and $\lim\limits_{x\to\infty}f'(x)$ exist

If $\int_0^x f \ dm$ is zero everywhere then $f$ is zero almost everywhere

If $f'$ tends to a positive limit as $x$ approaches infinity, then $f$ approaches infinity

Monotone+continuous but not differentiable

Meaning of non-existence of expectation?

Does $\sum \limits_{n=1}^\infty\frac{\sin n}{n}(1+\frac{1}{2}+\cdots+\frac{1}{n})$ converge (absolutely)?

What is the name of the vertical bar in $(x^2+1)\vert_{x = 4}$ or $\left.\left(\frac{x^3}{3}+x+c\right) \right\vert_0^4$?

Intuition behind Conditional Expectation

Please show $\int_0^\infty x^{2n} e^{-x^2}\mathrm dx=\frac{(2n)!}{2^{2n}n!}\frac{\sqrt{\pi}}{2}$ without gamma function?

convex function in open interval is continuous

In a family with two children, what are the chances, if one of the children is a girl, that both children are girls?

Probability distribution of the maximum of random variables

Showing $a^2 < b^2$, if $0 < a < b$

Does any moment generating function implies an existence of moments?

How do you prove that $n^n$ is $O(n!^2)$?

Why $\lim_{n\to\infty}\int_{0}^1f_n(x)dx=\int_{0}^1(\lim_{n\to\infty}f_n(x))dx$?

Evaluating a limit, $\lim\limits_{t\rightarrow 0^{+}} {\sum\limits_{n=1} ^{\infty} \frac{\sqrt{t}}{1+tn^2}}$

Change of order of double limit of function sequence