Hello World - My first blog

Posted: Oct 2nd 2020
Abstract

I started to build this personal website yesterday.

Hello World - My first blog

I started to build this personal website yesterday.

LaTeX\LaTeXLATE​X Support

LaTeX test:

x3+y3=z3x^3+y^3=z^3x3+y3=z3

Though I'm quite satisfied showing my work on GitHub, it turns out that I have much more want to show. For example, GitHub is extremely unfriendly to show .pdf files since the internal link (we call it hyperlink for those LaTeX\LaTeXLATE​X geeks) doesn't work. This kind of problem arises quite often. Besides, my only hobby these days is photographing, and as you may already know, no one will show their photos on GitHub!

Apart from all these, since I use LaTeX\LaTeXLATE​X a LOT (yup, I'm one of those LaTeX\LaTeXLATE​X Freaks), and the only way I know how to render LaTeX\LaTeXLATE​X formula on GitHub is ugly, and it can only render fixed color texts, hence this makes me made my mind eventually. For example, we can easily print out some beautiful formula like

which is just a simple commutative diagram for Seifert–Van Kampen theorem, or like

lim⁡r→01m(B(x,r))∫B(x,r)∣f(y)−f(x)∣ dy=0for 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. \(x\)}r→0lim​m(B(x,r))1​∫B(x,r)​∣f(y)−f(x)∣dy=0for a.e. x

for f∈L1f\in L^1f∈L1, which is the statement of Lebesgue Differentiation Theorem.

Gist Support

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