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\section{Mathematic formulas}
This is a sample formula:
$$ c = \pm\sqrt{a^2 + b^2} $$
\begin{displaymath}
\int_0^1 f(x)dx = F(x)|_0^1
\end{displaymath}

And this is an inline formula: $\int_0^1 f(x)dx = F(x)|_0^1$ and
so it goes.

\begin{eqnarray}
  a &=& 2(b+c) \\
    &=& 2b + 2c
\end{eqnarray}