1 % $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 $
5 % This file is a solution template for:
7 % - Talk at a conference/colloquium.
8 % - Talk length is about 20min.
13 % Copyright 2004 by Till Tantau <tantau@users.sourceforge.net>.
15 % In principle, this file can be redistributed and/or modified under
16 % the terms of the GNU Public License, version 2.
18 % However, this file is supposed to be a template to be modified
19 % for your own needs. For this reason, if you use this file as a
20 % template and not specifically distribute it as part of a another
21 % package/program, I grant the extra permission to freely copy and
22 % modify this file as you see fit and even to delete this copyright
31 \setbeamercovered{transparent}
32 % or whatever (possibly just delete it)
35 %\usepackage{setspace} %for "\begin{onehalfspace}"
36 \usepackage[english]{babel}
39 \usepackage[utf8]{inputenc}
43 \usepackage[T1]{fontenc}
44 % Or whatever. Note that the encoding and the font should match. If T1
45 % does not look nice, try deleting the line with the fontenc.
47 \def\isac{${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}
48 \def\sisac{{\footnotesize${\cal I}\mkern-2mu{\cal S}\mkern-5mu{\cal AC}$}}
50 \title[TODO] % (optional, use only with long paper titles)
55 \author[Rocnik] % (optional, use only with lots of authors)
57 % - Give the names in the same order as the appear in the paper.
58 % - Use the \inst{?} command only if the authors have different
61 \institute % (optional, but mostly needed)
63 Technische Universit\"at Graz\\
66 % - Use the \inst command only if there are several affiliations.
67 % - Keep it simple, no one is interested in your street address.
69 % \date[CFP 2003] % (optional, should be abbreviation of conference name)
70 % {Conference on Fabulous Presentations, 2003}
71 % - Either use conference name or its abbreviation.
72 % - Not really informative to the audience, more for people (including
73 % yourself) who are reading the slides online
75 % \subject{Theoretical Computer Science}
76 % This is only inserted into the PDF information catalog. Can be left
81 % If you have a file called "university-logo-filename.xxx", where xxx
82 % is a graphic format that can be processed by latex or pdflatex,
83 % resp., then you can add a logo as follows:
85 % \pgfdeclareimage[height=0.5cm]{university-logo}{university-logo-filename}
86 % \logo{\pgfuseimage{university-logo}}
90 % Delete this, if you do not want the table of contents to pop up at
91 % the beginning of each subsection:
94 \begin{frame}<beamer>{Outline}
95 \tableofcontents[currentsection,currentsubsection]
100 % If you wish to uncover everything in a step-wise fashion, uncomment
101 % the following command:
103 %\beamerdefaultoverlayspecification{<+->}
112 \begin{frame}{Outline}
114 % You might wish to add the option [pausesections]
118 % Structuring a talk is a difficult task and the following structure
119 % may not be suitable. Here are some rules that apply for this
122 % - Exactly two or three sections (other than the summary).
123 % - At *most* three subsections per section.
124 % - Talk about 30s to 2min per frame. So there should be between about
125 % 15 and 30 frames, all told.
127 % - A conference audience is likely to know very little of what you
128 % are going to talk about. So *simplify*!
129 % - In a 20min talk, getting the main ideas across is hard
130 % enough. Leave out details, even if it means being less precise than
131 % you think necessary.
132 % - If you omit details that are vital to the proof/implementation,
133 % just say so once. Everybody will be happy with that.
135 \section[Fourier]{Fourier transform}
136 \subsection[Series]{Fourier series}
137 \begin{frame}\frametitle{TODO}
141 \subsection[Transform]{Fourier transform}
142 \begin{frame}\frametitle{Fourier transform expl 1}
146 \begin{frame}\frametitle{Fourier transform expl 2a}
150 \begin{frame}\frametitle{Fourier transform expl 2b}
151 Aufgabenstellung von Bernhard
154 \begin{frame}\frametitle{Fourier transform expl 2b}
158 01 \> ${\cal F}\;(x(t-2)) =$\\
159 \`${\cal F}\;(x(t-T)) = e^{-j\cdot\omega\cdot T}\cdot X\;j\cdot\omega$\\
160 02 \> $e^{-j\cdot\omega\cdot 2}\cdot X\;(j\cdot\omega)$\\
161 \`definition $X\;(j\cdot\omega)$\\
162 03 \> $e^{-j\cdot\omega\cdot 2}\cdot \int_{-\infty}^\infty x\;t\;\cdot e^{-j\cdot\omega\cdot t} d t$\\
163 \` $x\;t = 1\;{\it for}\;\{x.\;-1\leq t\;\land\;t\leq 1\}\;{\it and}\;x\;t=0\;{\it otherwise}$\\
164 04 \> $e^{-j\cdot\omega\cdot 2}\cdot \int_{-1}^1 1\cdot e^{-j\cdot\omega\cdot t} d t$\\
165 \` $\int_a^b f\;t\;dt = \int f\;t\;dt\;|_a^b$\\
166 05 \> $e^{-j\cdot\omega\cdot 2}\cdot \int 1\cdot e^{-j\cdot\omega\cdot t} d t\;|_{-1}^1$\\
167 \` $\int e^{a\cdot t} = \frac{1}{a}\cdot e^{a\cdot t}$\\
168 06 \> $e^{-j\cdot\omega\cdot 2}\cdot (\frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot t} \;|_{-1}^1)$\\
169 \` $f\;t\;|_a^b = f\;b-f\;a$\\
170 07 \> $e^{-j\cdot\omega\cdot 2}\cdot (\frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot 1} - \frac{1}{-j\cdot\omega}\cdot e^{-j\cdot\omega\cdot -1})$\\
171 \vdots\` simplification+factorization in $\cal C$\\
172 08 \> $e^{-j\cdot\omega\cdot 2}\cdot \frac{1}{-j\cdot\omega}\cdot(e^{j\cdot\omega} - e^{-j\cdot\omega})$\\
174 09 \> $e^{-j\cdot\omega\cdot 2}\cdot \frac{1}{\omega}\cdot(\frac{-e^{j\cdot\omega} + e^{-j\cdot\omega}}{j})$\\
176 10 \> $e^{-j\cdot\omega\cdot 2}\cdot 2\cdot\frac{\sin\;\omega}{\omega}$
181 \begin{frame}\frametitle{Fourier transform expl 2b}
187 \begin{frame}\frametitle{Fourier transform expl 2b - table}
191 \section[Convolution]{Convolution}
193 \begin{frame}\frametitle{Convolution (Faltung)}
197 \section[${\cal Z}$ transform]{${\cal Z}$ transform}
199 \begin{frame}\frametitle{TODO}
203 \subsection[Inverse ${\cal Z}$]{Inverse ${\cal Z}$ transform}
204 \begin{frame}\frametitle{Development effort}
207 \begin{tabular}{l|l|r}
208 requirements & comments &effort\\ \hline\hline
209 solve for part.fract. & \sisac: degree 2 & 0\\
210 & complex nomminators & 30\\
211 & degree > 2 & MT\\ \hline
212 simplify polynomial & \sisac & 0\\
213 simplify rational & \sisac & 0\\ \hline
214 part.fract.decomposition& degree 2 & \\
215 & specification, method& 30\\ \hline
216 ${\cal Z}^{-1}$ table & & 20\\
217 & explanations, figures& 20\\ \hline
218 example collection & with explanations & 20\\ \hline\hline
223 effort --- in 45min units\\
224 MT --- thesis ``factorization'' (mathematics)
228 \section[]{Indextranformation}
230 \begin{frame}\frametitle{TODO}