printf("Hello World");

Posted: Feb 25th 2022
Abstract

🌎 This is a website.

printf("Hello World");

Though I'm quite satisfied showing my work on GitHub, it turns out that I have much more to show. For example, GitHub is extremely unfriendly to show .pdf files since the internal link (we call it hyperlink\texttt{hyperlink} for those LaTeX\LaTeX freaks) doesn't work. This kind of problem arises quite often. Besides, my only hobby these days is photographing, and as you can imagine, it's awkward to show your photos there...

Apart from all these, since I use LaTeX\LaTeX a lot, the only way I know how to render LaTeX\LaTeX formulas on GitHub is ugly with a bunch of limitations. Hence, this pushed me to build this website eventually. To demonstrate, we can easily print out some beautiful formulas like

lim⁡r→01m(B(x,r))∫B(x,r)∣f(y)−f(x)∣ dy=0 for a.e. x\lim\limits_{r \to 0} \frac{1}{m(B(x, r))}\int_{B(x, r)}\left\vert f(y) - f(x) \right\vert\,\mathrm{d}y = 0 \text{ for a.e. \(x\)}

for f∈L1f\in L^11

  1. This is the cute Lebesgue differentiation theorem.↩