Example of E(E(X|F)|G) \neq E(E(X|G)|F)
72506
An example s.t. $E(E(X|\mathcal F_1)|\mathcal F_2)\neq E(E(X|\mathcal F_2)|\mathcal F_1)$
45885
If there exist sequence such that $g(x_n)=f(x_{n+1})$, then we have $g(x_0)=f(x_0)$ for some $x_0$
152604
For a finite group of order $2n$ does there exist $x$ such that $x\ast x=e$?
46056
If $\mathcal{E}$ are subsets of $X$ and $A \subset X$. Show that $\mathcal{A}\mathcal{(E \cap}$ A)=$\mathcal{A}\mathcal{(E)} \cap$ A
113411
If $E$ is generated by $E_1$ and $E_2$, then $[E:F]\leq [E_1:F][E_2:F]$?
99024
Let $\,E=\{(x,y) \in \Bbb R^2: |x| \le 1,|y|\le 1\}.$
107058
Prove that $E(X\ln X)\le E X E\ln X$
118195
How does one prove that $e$ exists?
155974
Show $||Tx||_2 \leq ||(v_n)||_2 \cdot ||x||_{\infty}$
155935
Examples where $H\ne \mathrm{Aut}(E/E^H)$
78754
Showing that $E[X|X<x]$ is smaller or equal than $E[X]$ for all x
67489
How to show that $E[(\hat\theta -\theta)^2]<Var(\bar X)=\dfrac{1}{n}$?
28088
When is $f_{xy}(x,y)\neq f_{yx}(x,y)?$
25010
Argue that there exists a continuous function $g: \mathbb{R} \rightarrow \mathbb{R}$ which satisfies $g(x) = \frac{1-e^{-2x^2}}{x^2}$ for $x \neq 0$
31846
Does $\neg(x > y)$ imply that $y \geq x$?
145136
When can we interchange the derivative with an expectation?
144018
Integration by parts for f(x).g(x)