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diff --git a/Master/texmf-dist/doc/latex/ucalgmthesis/chapter2.tex b/Master/texmf-dist/doc/latex/ucalgmthesis/chapter2.tex new file mode 100644 index 00000000000..615c1ca6acf --- /dev/null +++ b/Master/texmf-dist/doc/latex/ucalgmthesis/chapter2.tex @@ -0,0 +1,34 @@ +% 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} + +\blindtext\footnote{\blindtext} + +\begin{figure} + \[ \circ \to \circ \] + \caption{Circles and arrows} +\end{figure} + +\section{The second result} + +\subsection{The first half} + +\blindtext\pagenote{\blindtext} + +\subsection{The second half} + +\blindtext |