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-%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
-%Tutorial slides on Python.
-%
-% Author: FOSSEE 
-% Copyright (c) 2009, FOSSEE, 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{infolines}
-  \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]{\lstinline{#1}}
-
-\newcommand{\kwrd}[1]{ \texttt{\textbf{\color{blue}{#1}}}  }
-
-% Title page
-\title{Python for Scientific Computing : Least Square Fit}
-
-\author[FOSSEE] {FOSSEE}
-
-\institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
-\date{}
-
-% DOCUMENT STARTS
-\begin{document}
-
-\begin{frame}
-  \maketitle
-\end{frame}
-
-\begin{frame}
-  \frametitle{About the Session}
-  \begin{block}{Goal}
-Finding least square fit of given data-set
-  \end{block}
-  \begin{block}{Checklist}
-    \begin{itemize}
-    \item pendulum.txt
-  \end{itemize}
-  \end{block}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{$L$ vs. $T^2$ - Scatter}
-  \vspace{-0.15in}
-  \begin{figure}
-    \includegraphics[width=4in]{data/L-Tsq-points}
-  \end{figure}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{$L$ vs. $T^2$ - Line}
-  \vspace{-0.15in}
-  \begin{figure}
-    \includegraphics[width=4in]{data/L-Tsq-Line}
-  \end{figure}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{$L$ vs. $T^2$ }
-  \frametitle{$L$ vs. $T^2$ - Least Square Fit}
-  \vspace{-0.15in}
-  \begin{figure}
-    \includegraphics[width=4in]{data/least-sq-fit}
-  \end{figure}
-\end{frame}
-
-\begin{frame}
-  \frametitle{Least Square Fit Curve}
-  \begin{center}
-    \begin{itemize}
-    \item $L \alpha T^2$
-    \item Best Fit Curve $\rightarrow$ Linear
-  \begin{itemize}
-  \item Least Square Fit
-  \end{itemize}
-\item \typ{lstsq()} 
-    \end{itemize}
-  \end{center}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{\typ{lstsq}}
-  \begin{itemize}
-  \item We need to fit a line through points for the equation $T^2 = m \cdot L+c$
-  \item In matrix form, the equation can be represented as $T_{sq} = A \cdot p$, where $T_{sq}$ is
-  $\begin{bmatrix}
-  T^2_1 \\
-  T^2_2 \\
-  \vdots\\
-  T^2_N \\
-  \end{bmatrix}$
-, A is   
-  $\begin{bmatrix}
-  L_1 & 1 \\
-  L_2 & 1 \\
-  \vdots & \vdots\\
-  L_N & 1 \\
-  \end{bmatrix}$
-  and p is 
-  $\begin{bmatrix}
-  m\\
-  c\\
-  \end{bmatrix}$
-  \item We need to find $p$ to plot the line
-  \end{itemize}
-\end{frame}
-
-\begin{frame}[fragile]
-  \frametitle{Summary}
-  \begin{block}{}
-    Obtaining the least fit curve from a data set
-  \end{block}    
-\end{frame}
-
-\begin{frame}
-  \frametitle{Thank you!}  
-  \begin{block}{}
-  This session is part of \textcolor{blue}{FOSSEE} project funded by:
-  \begin{center}
-    \textcolor{blue}{NME through ICT from MHRD, Govt. of India}.
-  \end{center}  
-  \end{block}
-\end{frame}
-
-\end{document}