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diff --git a/Master/texmf-dist/doc/latex/math-into-latex-4/beamerstructure2.tex b/Master/texmf-dist/doc/latex/math-into-latex-4/beamerstructure2.tex new file mode 100644 index 00000000000..86009c7af87 --- /dev/null +++ b/Master/texmf-dist/doc/latex/math-into-latex-4/beamerstructure2.tex @@ -0,0 +1,159 @@ +% beamerstructure2 presentation + +\documentclass{beamer} +\usetheme{Warsaw} + +\setbeamertemplate{navigation symbols}{} +\title{Sectionally complemented chopped lattices} +\author{George Gr\"atzer\inst{1} +\and Harry Lakser\inst{1} +\and Michael Roddy\inst{2}} +\institute{\inst{1} University of Manitoba +\and \inst{2} Brandon University} +\date{Conference on Lattice Theory, 2006} +%Note that multiple authors are separated by \verb+\and+ and so are +%the various institutions. The \verb+\date+ command is treated as a +%footnote. + +\begin{document} + +\begin{frame} +\titlepage +\end{frame} + +%To show an outline of the whole presentation, we have to fake it. +%The command \verb+\tableofcontents+ provides you with the Table of +%Contents of the whole presentation only if there are no parts. +%With an optional argument, it can also provide the Table of Contents +%of a specific part: \verb+\tableofcontents[part=3]+ is the +%Table of Contents of Part 3. We also use the \ttt{pausesections} +%option. + +%The Table of Contents of the whole presentation is given in an +%unnumbered section and three unnumbered subsections. + +\section*{Outline} + +\subsection*{Part I: Background} + +\begin{frame} +\frametitle{Outline of Part I: Background} + +\tableofcontents [part=1,pausesections] +\end{frame} + +\subsection*{Part II: Characterizing the 1960 sectional complement} + +\begin{frame} +\frametitle{Outline of Part II: Characterizing the\\1960 sectional complement} + +\tableofcontents[part=2,pausesections] +\end{frame} + +\subsection*{Part III: The general problem} + +\begin{frame} +\frametitle{Outline of Part III: The general problem} + +\tableofcontents[part=3,pausesections] +\end{frame} + +%Now come the three parts. Each part is introduced with two frames: +%the first with \verb+\partpage+ (which is the ``titlepage'' for the +%part) and the second with the command \verb+\tableofcontents+ +%(for the part). + +%We provide each section with a frame to activate it. + +\part{Background} + +\begin{frame} +\partpage +\end{frame} + +\begin{frame} +\frametitle{Part I\\Outline} + +\tableofcontents +\end{frame} + +\section{Chopped lattices} + +\begin{frame} +\frametitle{Defining chopped lattices} + +Starting the definitions +\end{frame} + +\section{Ideals and congruences} + +\begin{frame} +\frametitle{Ideals} + +Continuing the definitions +\end{frame} + +\part{Characterizing the 1960 sectional complement} + +\begin{frame} +\partpage +\end{frame} + +\begin{frame} +\frametitle{Part II\\Outline} + +\tableofcontents +\end{frame} + +\section{What it is not} + +\begin{frame} +\frametitle{Not maximal, minimal, or fixed point} + +Counterexamples +\end{frame} + +\section{The characterization theorem} + +\begin{frame} +\frametitle{The main result} + +State the characterization theorem +\end{frame} + +\part{The general problem} + +\begin{frame} +\partpage +\end{frame} + +\begin{frame} +\frametitle{Part III\\Outline} + +\tableofcontents +\end{frame} + +\section{The Lakser Theorem} + +\begin{frame} +\frametitle{The problem} + +Stating the general problem and Harry's observation +\end{frame} + +\section{A small counterexample} + +\begin{frame} +\frametitle{Four-element overlap} + +Counterexample +\end{frame} + +\section{A cyclic counterexample} + +\begin{frame} +\frametitle{Three cycle} + +Cyclic counterexample +\end{frame} +\end{document}
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