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Decide to drop ODEs

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1 parent 925f28a commit 0a82a5a6356c76c9289fe577f99b42ceb1f1ae25 Dag Sverre Seljebotn committed Mar 31, 2011

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-\documentclass[handout]{beamer}
-
-%\setbeameroption{show notes}
-
-% Vary the color applet (try out your own if you like)
-%\colorlet{structure}{red!65!black}
-
-%\beamertemplateshadingbackground{yellow!100}{white}
-
-%\usepackage{beamerthemesplit}
-\usepackage{tikz}
-\usepackage{graphics}
-\usepackage{graphicx}
-\usepackage{hyperref}
-\usepackage{setspace}
-\usepackage{colortbl}
-\usepackage{listings}
-\usepackage{amsfonts}
-\usepackage{amsmath}
-\usepackage{multicol}
-
-%\usetikzlibrary{shapes}
-
-
-\usetheme{Madrid}
-\useinnertheme{rounded}
-\usecolortheme{crane}
-
-\definecolor{dredcolor}{rgb}{.5,0.0,0.0}
-\definecolor{blackcolor}{rgb}{0.0,0.0,0.0}
-\definecolor{dgreencolor}{rgb}{0.0,0.4,0.0}
-\definecolor{dbluecolor}{rgb}{.02,.02,.808}
-\newcommand{\dblue}{\color{dbluecolor}\bf}
-\newcommand{\dgreen}{\color{dgreencolor}\bf}
-
-
-\title[Cython]{Cython Tutorial}
-\author[Seljebotn]{Dag Sverre Seljebotn \\ \texttt{dagss@student.matnat.uio.no}}
-\date{Open Cython Day, Munich}
-\institute{University of Oslo}
-
-%\pgfdeclaremask{fsu}{fsu_logo_ybkgrd}
-%\pgfdeclareimage[mask=fsu,width=1cm]{fsu-logo}{fsu_logo_ybkgrd}
-
-%\logo{\vbox{\vskip0.1cm\hbox{\pgfuseimage{fsu-logo}}}}
-
-\begin{document}
-\section[Examples]{Practical examples}
-\frame{
-\includegraphics[width=\textwidth]{V1masked.png} \\
-{\tiny Perturbations to the Cosmic Microwave Background
-(http://lambda.gsfc.nasa.gov)}
-
-}
-\frame{
-\def\H{\mathcal{H}}
-
-\small
-\begin{align*}
-\Theta'_0 &= -\frac{ck}{\H} \Theta_1 - \Phi' \\
-\Theta'_1 &= \frac{ck}{3\H} \Theta_0 - \frac{2ck}{3\H}\Theta_2 +
-\frac{ck}{3\H}\Psi + \tau'\left[\Theta_1 + \frac{1}{3}v_b\right], \\
-\Theta'_\ell &= \frac{\ell ck}{(2\ell+1)\H}\Theta_{\ell-1} - \frac{(\ell+1)ck}{(2\ell+1)\H}
-\Theta_{\ell+1} + \tau'\left[\Theta_\ell - \frac{1}{10}\Theta_\ell
- \delta_{\ell,2}\right], \quad \ell \ge 2 \\
-\delta' &= \frac{ck}{\H} v - 3\Phi'
- \quad\quad
-\\ v' &= -v -\frac{ck}{\H} \Psi \\
-\delta_b' &= \frac{ck}{\H}v_b -3\Phi'
- \quad\quad \\
- v_b' &= -v_b - \frac{ck}{\H}\Psi + \tau'R(3\Theta_1 + v_b) \\
-\Phi' &= \Psi - \frac{c^2k^2}{3\H^2} \Phi + \frac{H_0^2}{2\H^2}
-\left[\Omega_m a^{-1} \delta + \Omega_b a^{-1} \delta_b + 4\Omega_r
- a^{-2}\Theta_0\right] \\
-\Psi &= -\Phi - \frac{12H_0^2}{c^2k^2a^2}\Omega_r\Theta_2, \quad\quad R = \frac{4\Omega_r}{3\Omega_b a}
-\end{align*}
-
-
-}
-
-\end{document}
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