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\chapter{Test Appendix with a very long title in order to test spacing behavior} \label{app:test}
\lipsum[2]
A convenient form for representing substantial numerical or textual data is a table.
Table~\ref{tab:test} shows an example of this functionality in \LaTeX.
\begin{table}
\centering
\caption{Test table. With an extra-long caption to test spacing functionality for table captions. And inline mathematics.}
\begin{tabular}{lrr}
\toprule
Heading 1 ($u_x$) & Head 2 & Head 3 \\
\midrule
Analytical & 1.000 & 1.000 \\
Forward Difference & 0.973 & 0.976 \\
\bottomrule
\end{tabular}
\label{tab:test}
\end{table}
Diagrams, plots, and other graphics should be placed in figures.
Figure~\ref{fig:test} shows an example of such an environment.
The command \verb+\includegraphics+ from the \verb+graphicx+ package may be used to include external graphics in a wide variety of formats.
\begin{figure}
\centering
\includegraphics[width=1in]{example-image-b}
\caption{This test figure tests captions and Table of Contents
behavior for lengthy captions.}
\label{fig:test}
\end{figure}
\section{This is a Very Long Heading to Test the Table of Contents Behavior for Very Long Section Headings}
Sample text. Sample text.
\subsection{This is an Extremely Long Subsection Heading to Test Spacing Behavior for Subsections}
\lipsum[3]
\subsubsection{This is an Extremely Long Subsubsection Heading to Test Spacing Behavior for Subsubsections}
\lipsum[4-5]
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