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Hello, world!

HELLO, WORLD! This is MathJax: $E=mc^2$ and $$ \begin{equation} L = \begin{cases} 1 & \text{if $i = j$ and $deg_j \neq 0 $} \\ stuff & \text{if $(i, j) \in E$} \\ 0 & \text{otherwise} \end{cases} \end{equation} $$