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\(\newcommand{\doubler}[1]{2#1} \newcommand{\lt}{<} \newcommand{\gt}{>} \newcommand{\amp}{&} \definecolor{fillinmathshade}{gray}{0.9} \newcommand{\fillinmath}[1]{\mathchoice{\colorbox{fillinmathshade}{$\displaystyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\textstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptstyle \phantom{\,#1\,}$}}{\colorbox{fillinmathshade}{$\scriptscriptstyle\phantom{\,#1\,}$}}} \)

## Section 2 A Bit More Interesting

The previous section (Section 1) was a bit boring.

This paragraph has some inline math, a Diophantine equation, \(x^2 + \doubler{y^2} = z^2\text{.}\) And some display math about infinite series:

\begin{equation*} \sum_{n=1}^\infty\,\frac{1}{n^2} = \frac{\pi^2}{6}. \end{equation*}

Look at the XML source to see how LaTeX macros are employed universally across all possible output formats.