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This is an inline formula: $E = mc^2$
This is a block formula:
$$ \int_{a}^{b} x^2 \, dx = \frac{b^3 - a^3}{3} $$A complex matrix:
$$ \begin{pmatrix} 1 & 0 & 0 \\ 0 & 1 & 0 \\ 0 & 0 & 1 \end{pmatrix} $$