% Sample University of Calgary Thesis
% This file contains CHAPTER TWO

\chapter{Important Results}

\section{The first result}

\begin{thm}[Residue Theorem]
Let $f$ be analytic in the region $G$ except for the isolated 
singularities $a_1,a_2,\dots,a_m$. If $\gamma$ is a closed 
rectifiable curve in $G$ which does not pass through any of the 
points $a_k$ and if $\gamma\approx 0$ in $G$, then
\[
  \frac{1}{2\pi i}\int_\gamma\! f = \sum_{k=1}^m 
  n(\gamma;a_k)\mathop{\mathrm{Res}}(f;a_k)\,.
\]
\end{thm}

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\begin{figure}
  \[ \circ \to \circ \]
  \caption{Circles and arrows}
\end{figure}

\section{The second result}

\subsection{The first half}
  
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\subsection{The second half}

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