day1/session2.tex
author Madhusudan.C.S <madhusudancs@gmail.com>
Tue, 27 Oct 2009 19:25:25 +0530
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permissions -rw-r--r--
Session 3 day 1, Statistical operations finalized.
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%Tutorial slides on Python.
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%
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% Author: FOSSEE
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% Copyright (c) 2009, FOSSEE, IIT Bombay
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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\documentclass[14pt,compress]{beamer}
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%\documentclass[draft]{beamer}
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%\documentclass[compress,handout]{beamer}
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%\usepackage{pgfpages} 
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%\pgfpagesuselayout{2 on 1}[a4paper,border shrink=5mm]
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% Modified from: generic-ornate-15min-45min.de.tex
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\mode<presentation>
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{
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  \usetheme{Warsaw}
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  \useoutertheme{split}
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  \setbeamercovered{transparent}
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}
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\usepackage[english]{babel}
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\usepackage[latin1]{inputenc}
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%\usepackage{times}
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\usepackage[T1]{fontenc}
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% Taken from Fernando's slides.
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\usepackage{ae,aecompl}
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\usepackage{mathpazo,courier,euler}
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\usepackage[scaled=.95]{helvet}
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\definecolor{darkgreen}{rgb}{0,0.5,0}
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\usepackage{listings}
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\lstset{language=Python,
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    basicstyle=\ttfamily\bfseries,
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    commentstyle=\color{red}\itshape,
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  stringstyle=\color{darkgreen},
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  showstringspaces=false,
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  keywordstyle=\color{blue}\bfseries}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Macros
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\setbeamercolor{emphbar}{bg=blue!20, fg=black}
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\newcommand{\emphbar}[1]
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{\begin{beamercolorbox}[rounded=true]{emphbar} 
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      {#1}
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 \end{beamercolorbox}
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}
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\newcounter{time}
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\setcounter{time}{0}
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\newcommand{\inctime}[1]{\addtocounter{time}{#1}{\tiny \thetime\ m}}
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\newcommand{\typ}[1]{\lstinline{#1}}
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\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
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%%% This is from Fernando's setup.
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% \usepackage{color}
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% \definecolor{orange}{cmyk}{0,0.4,0.8,0.2}
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% % Use and configure listings package for nicely formatted code
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% \usepackage{listings}
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% \lstset{
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%    language=Python,
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%    basicstyle=\small\ttfamily,
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%    commentstyle=\ttfamily\color{blue},
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%    stringstyle=\ttfamily\color{orange},
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%    showstringspaces=false,
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%    breaklines=true,
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%    postbreak = \space\dots
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% }
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% Title page
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\title[Plotting using Python]{Python for Science and Egg. Plotting experimental data}
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\author[FOSSEE] {FOSSEE}
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\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
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\date[] {31, October 2009\\Day 1, Session 2}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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%\pgfdeclareimage[height=0.75cm]{iitmlogo}{iitmlogo}
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%\logo{\pgfuseimage{iitmlogo}}
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%% Delete this, if you do not want the table of contents to pop up at
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%% the beginning of each subsection:
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\AtBeginSubsection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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\AtBeginSection[]
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{
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  \begin{frame}<beamer>
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    \frametitle{Outline}
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    \tableofcontents[currentsection,currentsubsection]
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  \end{frame}
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}
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% If you wish to uncover everything in a step-wise fashion, uncomment
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% the following command: 
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%\beamerdefaultoverlayspecification{<+->}
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%\includeonlyframes{current,current1,current2,current3,current4,current5,current6}
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%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
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% DOCUMENT STARTS
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\begin{document}
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\begin{frame}
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  \titlepage
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\end{frame}
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\begin{frame}
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  \frametitle{Outline}
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  \tableofcontents
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  % You might wish to add the option [pausesections]
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\end{frame}
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\begin{frame}
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\frametitle{Why we didn't close the IPython??}
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\begin{itemize}
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  \item IPython provides a convenient feature
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  \item To go back, edit, and re-run commands
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  \item But when you close, this is lost
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\end{itemize}
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\end{frame}
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\begin{frame}
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\frametitle{But its impractical..}
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\begin{itemize}
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  \item We can't keep running IPython for days
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  \item And its a pain to go back and edit
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\end{itemize}
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And the solution is..\\
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\begin{center}
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\alert {\typ{Scripts!!}}
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\end{center}
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\end{frame}
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\section{Scripts}
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\begin{frame}[fragile]
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\frametitle{Python Scripts}
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\begin{itemize}
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\item Put all commands used in review problem into a file. 
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\item use hist command of IPython.
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\end{itemize}
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\begin{lstlisting}
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  In []: %hist
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  In []: %hist -n
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\end{lstlisting}
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\end{frame}
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\begin{frame}
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\frametitle{Python Scripts\ldots}
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  \begin{itemize}
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    \item Open a new file in an \alert{editor}
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    \item Copy and paste required lines from the output of \typ{\%hist -n}
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    \item Save the file as \typ{sine_plot.py}
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  \end{itemize}
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  \begin{itemize}
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  \item run the file in IPython using \typ{\%run sine_plot.py}\\
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  \end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Why would I plot f(x)?}
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How often do we plot analytical functions?\\We plot experimental data more.
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\begin{lstlisting}
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In []: x = [0, 1, 2, 3]
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In []: y = [7, 11, 15, 19]
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In []: plot(x, y)
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Out[]: [<matplotlib.lines.Line2D object at 0xa73aa8c>]
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\begin{figure}
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\includegraphics[width=3.5in]{data/straightline.png}
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\end{figure}
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\alert{Is this what you have??}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Plotting points}
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\begin{itemize}
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\item What if we want to plot the points!
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\end{itemize}
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\begin{lstlisting}
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  In []: clf()
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  In []: plot(L, TSq, 'o')
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  Out[]: [<matplotlib.lines.Line2D object at 0xac17e0c>]
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  In []: clf()
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  In []: plot(L, TSq, '.')
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  Out[]: [<matplotlib.lines.Line2D object at 0xac17e0c>]
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Additional Plotting Attributes}
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\begin{itemize}
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  \item \kwrd{'o'} - Dots
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  \item \kwrd{'.'} - Smaller Dots
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  \item \kwrd{'-'} - Lines
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  \item \kwrd{'- -'} - Dashed lines
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\end{itemize}
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\end{frame}
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\section{Lists}
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\begin{frame}[fragile]
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  \frametitle{How to create the data?}
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What are \typ{x} and \typ{y} here??\\
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\begin{center}
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\alert{\typ{lists!!}}
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\end{center}
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\begin{lstlisting}
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In []: mtlist = [] #Empty List
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In []: lst = [1,2,3,4,5] 
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Accessing elements of a list}
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\begin{lstlisting}
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In []: lst[0]+lst[1]+lst[-1]
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Out[]: 8
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{List: Slicing}
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  \begin{block}{Remember\ldots}
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	\kwrd{In []: lst = [1,2,3,4,5]}
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  \end{block}
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\alert{\typ{list[initial:final:step]}}
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\begin{lstlisting}
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In []: lst[1:3]  # A slice.
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Out[]: [2, 3]
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In []: lst[1:-1]
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Out[]: [2, 3]
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{List operations}
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\begin{lstlisting}
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In []: anthrlst = [6,7,8,9]
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In []: lnglst = lst + anthrlst
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In []: lnglst
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Out[]: [1, 2, 3, 4, 5, 6, 7, 8, 9]
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In []: lst.append(6)
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In []: lst
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Out[]: [1, 2, 3, 4, 5, 6]
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\end{lstlisting}
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%\inctime{10}
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\end{frame}
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\section{Simple Pendulum}
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\begin{frame}[fragile]
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\frametitle{Simple Pendulum - L and T}
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Let us look at a more realistic example of the Simple Pendulum experiment.
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\begin{center}
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\begin{small}
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\begin{tabular}{| l | c | r |}
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\hline
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L & T & T^2 \\ \hline
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0.1 & 0.6900 & \\ \hline
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0.2 & 0.8989 & \\ \hline
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0.3 & 1.1867 & \\ \hline
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0.4 & 1.2991 & \\ \hline
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0.5 & 1.4656 & \\ \hline
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0.6 & 1.5843 & \\ \hline
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0.7 & 1.7706 & \\ \hline
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0.8 & 1.8296 & \\ \hline
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0.9 & 1.9440 & \\ \hline
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\end{tabular}
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\end{small}\\
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\alert{$L$ \alpha $T^2$}
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\end{center}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Lets use lists}
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\begin{lstlisting}
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In []: L = [0.1, 0.2, 0.3, 0.4, 0.5, 
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0.6, 0.7, 0.8, 0.9]
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In []: T = [0.69, 0.8989, 1.1867, 
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1.2991, 1.4656, 1.5843, 1.7706, 1.8296, 1.9440]
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Plotting $L$ vs $T^2$}
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\begin{itemize}
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\item We must square each of the values in T
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\item How to do it?
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\item We use a \kwrd{for} loop to iterate over T
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\end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Plotting $L$ vs $T^2$}
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\begin{lstlisting}
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In []: TSq = []
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In []: for t in T:
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 ....:     TSq.append(t*t)
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In []: plot(L, TSq)
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Out[]: [<matplotlib.lines.Line2D object at 0xa5b05ac>]
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\end{lstlisting}
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This gives the list \kwrd{TSq} which is the list of squares of T values.
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{More of \texttt{for}}
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\begin{itemize}
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\item Used to iterate over lists
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\item Let us look at another example.
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\end{itemize}
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\begin{lstlisting}
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In []: lst = [1,2,3,4,5,6]
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In []: for num in lst:
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 ....:     print num, num*num
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 ....:    
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1 1
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2 4
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3 9
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4 16
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5 25
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6 36
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Whats unusual about the previous example??}
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\alert{Data is usually present in a file!} \\
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Lets look at the pendulum.txt file.
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\begin{lstlisting}
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cat data/pendulum.txt
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1.0000e-01 6.9004e-01
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1.1000e-01 6.9497e-01
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1.2000e-01 7.4252e-01
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1.3000e-01 7.5360e-01
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1.4000e-01 8.3568e-01
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1.5000e-01 8.6789e-01
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\end{lstlisting}
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\ldots
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Reading pendulum.txt}
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\begin{itemize}
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  \item We now wish to repeat the plot using the values from a file
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  \item Given a file containing L vs. T values 
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  \item Column1 - L; Column2 - T  
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  \item Read the file
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  \item Plot points for L vs. $T^2$ 
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\end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Reading pendulum.txt}
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\begin{lstlisting}
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In []: L = []
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In []: T = []
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In []: for line in open('pendulum.txt'):
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  ....     points = line.split()
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  ....     L.append(float(points[0]))
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  ....     T.append(float(points[1]))
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\end{lstlisting}
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\begin{itemize}
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\item We now have two lists L and T
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\item Now, Repeat previous steps for plotting
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\end{itemize}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Plotting from pendulum.txt}
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\begin{lstlisting}
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In []: TSq = []
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In []: for t in T:
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 ....:     TSq.append(t*t)
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In []: plot(L, TSq, '.')
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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  \frametitle{Reading files \ldots}
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\typ{In []: for line in open('pendulum.txt'):}
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\begin{itemize}
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\item opening file `pendulum.txt'
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\item iterating through file using variable \typ{line}
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\item \typ{line} is a \kwrd{string} variable
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\end{itemize}
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\end{frame}
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\section{Strings}
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\begin{frame}[fragile]
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\frametitle{Strings}
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Anything within ``quotes'' is a string!
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\begin{lstlisting}
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' This is a string '  
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" This too! "
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""" This one too! """
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''' And one more! '''
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\end{lstlisting}
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\end{frame}
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\begin{frame}[fragile]
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\frametitle{Strings and \typ{split()}}
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  \begin{lstlisting}
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In []: line = 'hello world'
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   432
In []: line.split()
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Out[]: ['hello', 'world']
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  \end{lstlisting}
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This is what happens with \typ{line}
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  \begin{lstlisting}
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In []: line = '1.2000e-01 7.4252e-01'
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In []: line.split()
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Out[]: ['1.2000e-01', '7.4252e-01']
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  \end{lstlisting}
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\end{frame}
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161
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\begin{frame}[fragile]
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\frametitle{Getting floats from strings}
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  \begin{lstlisting}
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   447
In []: type(points[0])
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Out[]: <type 'str'>
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  \end{lstlisting}
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   450
But, we need floating point numbers
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   451
  \begin{lstlisting}
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   452
In []: t = float(point[0])
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   453
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In []: type(t)
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Out[]: <type 'float'>
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  \end{lstlisting}
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   457
\end{frame}
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   458
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\begin{frame}[fragile]
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\begin{figure}
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\includegraphics[width=3.5in]{data/L-Tsq.png}
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\end{figure}
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\vspace{-0.2in}
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Coming up - \alert{Least Square Fit \ldots}
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\end{frame}
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   466
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\section {Summary}
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\begin{frame}
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\frametitle{Summary}
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So what did we learn in this session??
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\begin{itemize}
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  \item Creating and running Python scripts
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  \item Plotting points and Plotting attributes
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  \item Lists
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  \item \kwrd{for}
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  \item Reading files
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   477
  \item Strings
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   478
\end{itemize}
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   479
\end{frame}
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   480
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\end{document}