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+++ b/day1/session4.tex	Wed Oct 14 20:09:49 2009 +0530
@@ -0,0 +1,186 @@
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+%Tutorial slides on Python.
+%
+% Author: The FOSSEE Group
+% Copyright (c) 2009, The FOSSEE Group, IIT Bombay
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+\documentclass[14pt,compress]{beamer}
+%\documentclass[draft]{beamer}
+%\documentclass[compress,handout]{beamer}
+%\usepackage{pgfpages} 
+%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
+
+% Modified from: generic-ornate-15min-45min.de.tex
+\mode<presentation>
+{
+  \usetheme{Warsaw}
+  \useoutertheme{split}
+  \setbeamercovered{transparent}
+}
+
+\usepackage[english]{babel}
+\usepackage[latin1]{inputenc}
+%\usepackage{times}
+\usepackage[T1]{fontenc}
+
+% Taken from Fernando's slides.
+\usepackage{ae,aecompl}
+\usepackage{mathpazo,courier,euler}
+\usepackage[scaled=.95]{helvet}
+
+\definecolor{darkgreen}{rgb}{0,0.5,0}
+
+\usepackage{listings}
+\lstset{language=Python,
+    basicstyle=\ttfamily\bfseries,
+    commentstyle=\color{red}\itshape,
+  stringstyle=\color{darkgreen},
+  showstringspaces=false,
+  keywordstyle=\color{blue}\bfseries}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Macros
+\setbeamercolor{emphbar}{bg=blue!20, fg=black}
+\newcommand{\emphbar}[1]
+{\begin{beamercolorbox}[rounded=true]{emphbar} 
+      {#1}
+ \end{beamercolorbox}
+}
+\newcounter{time}
+\setcounter{time}{0}
+\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
+
+\newcommand{\typ}[1]{\texttt{#1}}
+
+\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
+
+%%% This is from Fernando's setup.
+% \usepackage{color}
+% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
+% % Use and configure listings package for nicely formatted code
+% \usepackage{listings}
+% \lstset{
+%    language=Python,
+%    basicstyle=\small\ttfamily,
+%    commentstyle=\ttfamily\color{blue},
+%    stringstyle=\ttfamily\color{orange},
+%    showstringspaces=false,
+%    breaklines=true,
+%    postbreak = \space\dots
+% }
+
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% Title page
+\title[Basic Python]{Matrices, Solution of equations and Integration\\}
+
+\author[FOSEE Team] {The FOSSEE Group}
+
+\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
+\date[] {31, October 2009\\Day 1, Session 4}
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+
+%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
+%\logo{\pgfuseimage{iitmlogo}}
+
+
+%% Delete this, if you do not want the table of contents to pop up at
+%% the beginning of each subsection:
+\AtBeginSubsection[]
+{
+  \begin{frame}<beamer>
+    \frametitle{Outline}
+    \tableofcontents[currentsection,currentsubsection]
+  \end{frame}
+}
+
+%%\AtBeginSection[]
+%%{
+  %%\begin{frame}<beamer>
+%%    \frametitle{Outline}
+  %%  \tableofcontents[currentsection,currentsubsection]
+  %%\end{frame}
+%%}
+
+% If you wish to uncover everything in a step-wise fashion, uncomment
+% the following command: 
+%\beamerdefaultoverlayspecification{<+->}
+
+%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
+
+%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
+% DOCUMENT STARTS
+\begin{document}
+
+\begin{frame}
+  \titlepage
+\end{frame}
+
+\begin{frame}
+  \frametitle{Outline}
+  \tableofcontents
+  \pausesections
+\end{frame}
+
+\section{Matrices}
+\subsection{Initializing}
+\begin{frame}[fragile]
+\frametitle{Matrices: Initializing}
+\begin{lstlisting}
+  In []: a = matrix([[1,2,3],[4,5,6],[7,8,9]])
+
+  In []: a
+  Out[]: 
+  matrix([[1, 2, 3],
+         [4, 5, 6],
+         [7, 8, 9]])
+\end{lstlisting}
+\end{frame}
+
+\subsection{Basic Operations}
+\begin{frame}[fragile]
+\frametitle{Inverse of a Matrix}
+\begin{lstlisting}
+  In []: linalg.inv(a)
+  Out[]: 
+  matrix([[  3.15221191e+15,  -6.30442381e+15,   3.15221191e+15],
+          [ -6.30442381e+15,   1.26088476e+16,  -6.30442381e+15],
+          [  3.15221191e+15,  -6.30442381e+15,   3.15221191e+15]])
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Determinant}
+\begin{lstlisting}
+  In []: linalg.det(a)
+  Out[]: -9.5171266700777579e-16
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Computing Norms}
+\begin{lstlisting}
+  In []: linalg.norm(a)
+  Out[]: 16.881943016134134
+  
+  In []: linalg.norm?
+\end{lstlisting}
+\end{frame}
+
+\begin{frame}[fragile]
+\frametitle{Eigen Values and Eigen Matrix}
+\begin{lstlisting}
+  In []: linalg.eigvals(a)
+  Out[]: array([  1.61168440e+01,  -1.11684397e+00,  -1.22196337e-15])
+
+  In []: linalg.eig(a)
+  Out[]: 
+  (array([  1.61168440e+01,  -1.11684397e+00,  -1.22196337e-15]),
+   matrix([[-0.23197069, -0.78583024,  0.40824829],
+          [-0.52532209, -0.08675134, -0.81649658],
+          [-0.8186735 ,  0.61232756,  0.40824829]]))
+\end{lstlisting}
+\end{frame}
+
+\end{document}