# Romeo

"If you want to build a ship, don't drum up the men to gather wood, divide the work, and give orders. Instead, teach them to yearn for the vast and endless sea." (Antoine de Saint ExupĂ©ry)

"Borders? I have never seen one. But I have heard they exist in the minds of some people." (Thor Heyerdahl)

"We are not now that strength which in old days \ moved earth and heaven, that which we are, we are, \ One equal temper of heroic hearts,\ Made weak by time and fate, but strong in will \ To strive, to seek, to find, and not to yield." (Alfred Tennyson)

Top Questions

## If $\int_{\mathbb R^2} \frac{\vert f(x)-f(y)\vert}{\vert x-y\vert^2}dxdy<+\infty$ then $f$ is a.e. constant

asked Sep 9 '13 at 20:34

## If $\lim_n f_n(x_n)=f(x)$ for every $x_n \to x$ then $f_n \to f$ uniformly on $[0,1]$?

asked Aug 13 '12 at 21:57

## Does $f_n \to 0$ in $L^1(\mathbb R^2)$ imply that $f_{n_k}(x,\cdot)\to 0$ in $L^1(\mathbb R)$ for almost every $x \in \mathbb R$?

asked Aug 17 '12 at 13:22

## A trigonometric series

asked Jun 7 '12 at 20:05

## If $\phi \in C^1_c(\mathbb R)$ then $\lim_n \int_\mathbb R \frac{\sin(nx)}{x}\phi(x)\,dx = \pi\phi(0)$.

asked Jul 24 '12 at 20:09

## Does $f\colon \Omega \to \mathbb R$ differentiable imply $f$ locally Lipschitz?

asked Feb 24 '13 at 15:03

## Proving that $\lim\limits_{n\to\infty}n\left( \int_0^1 f(t)\, dt -\frac1n\sum_{k=0}^{n-1}f\left(\frac k n\right) \right)=\frac{f(1)-f(0)}{2}$

asked Aug 12 '12 at 20:20

## $f$ has an essential singularity in $z_0$. What about $1/f$?

asked Jul 6 '12 at 22:29