
neuper@42074: % $Header: /cvsroot/latex-beamer/latex-beamer/solutions/conference-talks/conference-ornate-20min.en.tex,v 1.7 2007/01/28 20:48:23 tantau Exp $
neuper@42074: 
neuper@42074: \documentclass{beamer}
neuper@42074: 
neuper@42074: % This file is a solution template for:
neuper@42074: 
neuper@42074: % - Talk at a conference/colloquium.
neuper@42074: % - Talk length is about 20min.
neuper@42074: % - Style is ornate.
neuper@42074: 
neuper@42074: 
neuper@42074: 
neuper@42074: % Copyright 2004 by Till Tantau <tantau@users.sourceforge.net>.
neuper@42074: %
neuper@42074: % In principle, this file can be redistributed and/or modified under
neuper@42074: % the terms of the GNU Public License, version 2.
neuper@42074: %
neuper@42074: % However, this file is supposed to be a template to be modified
neuper@42074: % for your own needs. For this reason, if you use this file as a
neuper@42074: % template and not specifically distribute it as part of a another
neuper@42074: % package/program, I grant the extra permission to freely copy and
neuper@42074: % modify this file as you see fit and even to delete this copyright
neuper@42074: % notice.
neuper@42074: 
neuper@42074: 
neuper@42074: \mode<presentation>
neuper@42074: {
neuper@42074:   \usetheme{Hannover}
neuper@42074:   % or ...
neuper@42074: 
neuper@42074:   \setbeamercovered{transparent}
neuper@42074:   % or whatever (possibly just delete it)
neuper@42074: }
neuper@42074: 
neuper@42074: %\usepackage{setspace} %for "\begin{onehalfspace}"
neuper@42074: \usepackage[english]{babel}
neuper@42074: % or whatever
neuper@42074: 
neuper@42074: \usepackage[utf8]{inputenc}
neuper@42074: % or whatever
neuper@42074: 
neuper@42074: \usepackage{times}
neuper@42074: \usepackage[T1]{fontenc}
neuper@42074: % Or whatever. Note that the encoding and the font should match. If T1
neuper@42074: % does not look nice, try deleting the line with the fontenc.
neuper@42074: 
neuper@42074: \def\isac{${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}
neuper@42074: \def\sisac{{\footnotesize${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}}
neuper@42074: 
neuper@42074: \title[TODO] % (optional, use only with long paper titles)
neuper@42074: {TODO}
neuper@42074: 
neuper@42074: \subtitle{TODO}
neuper@42074: 
neuper@42074: \author[Rocnik] % (optional, use only with lots of authors)
neuper@42074: {Jan~Rocnik}
neuper@42074: % - Give the names in the same order as the appear in the paper.
neuper@42074: % - Use the \inst{?} command only if the authors have different
neuper@42074: %   affiliation.
neuper@42074: 
neuper@42074: \institute % (optional, but mostly needed)
neuper@42074: {
neuper@42074:   Technische Universit\"at Graz\\
neuper@42074:   Institut f\"ur TODO
neuper@42074: }
neuper@42074: % - Use the \inst command only if there are several affiliations.
neuper@42074: % - Keep it simple, no one is interested in your street address.
neuper@42074: 
neuper@42074: % \date[CFP 2003] % (optional, should be abbreviation of conference name)
neuper@42074: % {Conference on Fabulous Presentations, 2003}
neuper@42074: % - Either use conference name or its abbreviation.
neuper@42074: % - Not really informative to the audience, more for people (including
neuper@42074: %   yourself) who are reading the slides online
neuper@42074: 
neuper@42074: % \subject{Theoretical Computer Science}
neuper@42074: % This is only inserted into the PDF information catalog. Can be left
neuper@42074: % out.
neuper@42074: 
neuper@42074: 
neuper@42074: 
neuper@42074: % If you have a file called "university-logo-filename.xxx", where xxx
neuper@42074: % is a graphic format that can be processed by latex or pdflatex,
neuper@42074: % resp., then you can add a logo as follows:
neuper@42074: 
neuper@42074: % \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
neuper@42074: % \logo{\pgfuseimage{university-logo}}
neuper@42074: 
neuper@42074: 
neuper@42074: 
neuper@42074: % Delete this, if you do not want the table of contents to pop up at
neuper@42074: % the beginning of each subsection:
neuper@42074: \AtBeginSubsection[]
neuper@42074: {
neuper@42074:   \begin{frame}<beamer>{Outline}
neuper@42074:     \tableofcontents[currentsection,currentsubsection]
neuper@42074:   \end{frame}
neuper@42074: }
neuper@42074: 
neuper@42074: 
neuper@42074: % If you wish to uncover everything in a step-wise fashion, uncomment
neuper@42074: % the following command:
neuper@42074: 
neuper@42074: %\beamerdefaultoverlayspecification{<+->}
neuper@42074: 
neuper@42074: 
neuper@42074: \begin{document}
neuper@42074: 
neuper@42074: \begin{frame}
neuper@42074:   \titlepage
neuper@42074: \end{frame}
neuper@42074: 
neuper@42074: \begin{frame}{Outline}
neuper@42074:   \tableofcontents
neuper@42074:   % You might wish to add the option [pausesections]
neuper@42074: \end{frame}
neuper@42074: 
neuper@42074: 
neuper@42074: % Structuring a talk is a difficult task and the following structure
neuper@42074: % may not be suitable. Here are some rules that apply for this
neuper@42074: % solution:
neuper@42074: 
neuper@42074: % - Exactly two or three sections (other than the summary).
neuper@42074: % - At *most* three subsections per section.
neuper@42074: % - Talk about 30s to 2min per frame. So there should be between about
neuper@42074: %   15 and 30 frames, all told.
neuper@42074: 
neuper@42074: % - A conference audience is likely to know very little of what you
neuper@42074: %   are going to talk about. So *simplify*!
neuper@42074: % - In a 20min talk, getting the main ideas across is hard
neuper@42074: %   enough. Leave out details, even if it means being less precise than
neuper@42074: %   you think necessary.
neuper@42074: % - If you omit details that are vital to the proof/implementation,
neuper@42074: %   just say so once. Everybody will be happy with that.
neuper@42074: 
neuper@42075: \section[Fourier]{Fourier transform}
neuper@42075: \subsection[Series]{Fourier series}
neuper@42074: \begin{frame}\frametitle{TODO}
neuper@42074: TODO
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \subsection[Transform]{Fourier transform}
neuper@42075: \begin{frame}\frametitle{Fourier transform expl 1}
neuper@42074: TODO
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \begin{frame}\frametitle{Fourier transform expl 2a}
neuper@42074: TODO
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \begin{frame}\frametitle{Fourier transform expl 2b}
neuper@42074: Aufgabenstellung von Bernhard
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \begin{frame}\frametitle{Fourier transform expl 2b}
neuper@42074: \footnotesize{
neuper@42074: \begin{tabbing}
neuper@42074: 000\=\kill
neuper@42074: 01 \> ${\cal F}\;(x(t-2)) =$\\
neuper@42074:       \`${\cal F}\;(x(t-T)) = e^{-j\cdot\omega\cdot T}\cdot X\;j\cdot\omega$\\
neuper@42074: 02 \> $e^{-j\cdot\omega\cdot 2}\cdot X\;(j\cdot\omega)$\\
neuper@42074:       \`definition $X\;(j\cdot\omega)$\\
neuper@42074: 03 \> $e^{-j\cdot\omega\cdot 2}\cdot \int_{-\infty}^\infty x\;t\;\cdot e^{-j\cdot\omega\cdot t} d t$\\
neuper@42074:       \` $x\;t = 1\;{\it for}\;\{x.\;-1\leq t\;\land\;t\leq 1\}\;{\it and}\;x\;t=0\;{\it otherwise}$\\
neuper@42074: 04 \> $e^{-j\cdot\omega\cdot 2}\cdot \int_{-1}^1 1\cdot e^{-j\cdot\omega\cdot t} d t$\\
neuper@42074:       \` $\int_a^b f\;t\;dt = \int f\;t\;dt\;|_a^b$\\
neuper@42074: 05 \> $e^{-j\cdot\omega\cdot 2}\cdot \int 1\cdot e^{-j\cdot\omega\cdot t} d t\;|_{-1}^1$\\
neuper@42074:       \` $\int e^{a\cdot t} = \frac{1}{a}\cdot e^{a\cdot t}$\\
neuper@42074: 06 \> $e^{-j\cdot\omega\cdot 2}\cdot (\frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot t} \;|_{-1}^1)$\\
neuper@42074:       \` $f\;t\;|_a^b = f\;b-f\;a$\\
neuper@42074: 07 \> $e^{-j\cdot\omega\cdot 2}\cdot (\frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot 1} -  \frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot -1})$\\
neuper@42074: \vdots\` simplification+factorization in $\cal C$\\
neuper@42074: 08 \> $e^{-j\cdot\omega\cdot 2}\cdot \frac{1}{-j\cdot\omega}\cdot(e^{j\cdot\omega} - e^{-j\cdot\omega})$\\
neuper@42074:       \` trick~!\\
neuper@42074: 09 \> $e^{-j\cdot\omega\cdot 2}\cdot \frac{1}{\omega}\cdot(\frac{-e^{j\cdot\omega} + e^{-j\cdot\omega}}{j})$\\
neuper@42074:       \` table\\
neuper@42074: 10 \> $e^{-j\cdot\omega\cdot 2}\cdot 2\cdot\frac{\sin\;\omega}{\omega}$
neuper@42074: \end{tabbing}
neuper@42074: }
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \begin{frame}\frametitle{Fourier transform expl 2b}
neuper@42074: Voraussetzungen
neuper@42074: 
neuper@42074: 
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \begin{frame}\frametitle{Fourier transform expl 2b - table}
neuper@42074: TODO
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \section[Convolution]{Convolution}
neuper@42075: %\subsection[]{}
neuper@42075: \begin{frame}\frametitle{Convolution (Faltung)}
neuper@42075: TODO
neuper@42075: \end{frame}
neuper@42075: 
neuper@42075: \section[${\cal Z}$ transform]{${\cal Z}$ transform}
neuper@42075: %\subsection[]{}
neuper@42074: \begin{frame}\frametitle{TODO}
neuper@42074: TODO
neuper@42074: \end{frame}
neuper@42074: 
neuper@42075: \subsection[Inverse ${\cal Z}$]{Inverse ${\cal Z}$ transform}
neuper@42075: \begin{frame}\frametitle{Development effort}
neuper@42075: {\small
neuper@42075: \begin{center}
neuper@42075: \begin{tabular}{l|l|r}
neuper@42075: requirements            & comments             &effort\\ \hline\hline
neuper@42075: solve for part.fract.   & \sisac: degree 2     &     0\\
neuper@42075:                         & complex nomminators  &    30\\
neuper@42075:                         & degree > 2           &    MT\\ \hline
neuper@42075: simplify polynomial     & \sisac               &     0\\
neuper@42075: simplify rational       & \sisac               &     0\\ \hline
neuper@42075: part.fract.decomposition& degree 2             &      \\
neuper@42075:                         & specification, method&    30\\ \hline
neuper@42075: ${\cal Z}^{-1}$ table    &                       &   20\\
neuper@42075:                         & explanations, figures&    20\\ \hline
neuper@42075: example collection      & with explanations    &    20\\ \hline\hline
neuper@42075:                         &                      & 90-120\\
neuper@42075: %                        &                      & 1 MT
neuper@42075: \end{tabular}
neuper@42075: \end{center}
neuper@42075: effort --- in 45min units\\
neuper@42075: MT --- thesis ``factorization'' (mathematics)
neuper@42075: }
neuper@42075: \end{frame}
neuper@42075: 
neuper@42075: \section[]{Indextranformation}
neuper@42075: %\subsection[]{}
neuper@42074: \begin{frame}\frametitle{TODO}
neuper@42074: TODO
neuper@42074: \end{frame}
neuper@42074: 
neuper@42074: 
neuper@42074: \end{document}
neuper@42074: 
neuper@42074: 




