% Created 2010-11-09 Tue 23:18

\documentclass[presentation]{beamer}

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\usepackage{graphicx}

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\usepackage{listings}

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commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen},

showstringspaces=false, keywordstyle=\color{blue}\bfseries}

\providecommand{\alert}[1]{\textbf{#1}}

\title{Plotting Experimental Data}

\author{FOSSEE}

\date{2010-09-14 Tue}

\usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent}

\begin{document}

\maketitle

\begin{frame}

\frametitle{Outline}

\label{sec-1}

\begin{itemize}

\item Defining sequence of numbers

\item Squaring sequence of numbers

\item Plotting Data Points

\item Indicating Error through Errorbars

\end{itemize}

\end{frame}

\begin{frame}

\frametitle{Simple Pendulum Data}

\label{sec-2}

\begin{center}

\begin{tabular}{rr}

   L  &     T  \\

 0.1  &  0.69  \\

 0.2  &  0.90  \\

 0.3  &  1.19  \\

 0.4  &  1.30  \\

 0.5  &  1.47  \\

 0.6  &  1.58  \\

 0.7  &  1.77  \\

 0.8  &  1.83  \\

 0.9  &  1.94  \\

\end{tabular}

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Initializing L \& T}

\label{sec-3}

\begin{verbatim}

   L = [0.1, 0.2, 0.3, 0.4, 0.5,

        0.6, 0.7, 0.8, 0.9]

   t = [0.69, 0.90, 1.19,

        1.30, 1.47, 1.58,

        1.77, 1.83, 1.94]

\end{verbatim}

\end{frame}

\begin{frame}

\frametitle{Question 1}

\label{sec-4}

\begin{itemize}

\item Plot the given experimental data with large dots.

\end{itemize}

  The data is on your screen.     

\end{frame}

\begin{frame}

\frametitle{Question 1 Data}

\label{sec-5}

\begin{center}

\begin{tabular}{rr}

    S  &      n  \\

 0.19  &  10.74  \\

 0.38  &  14.01  \\

 0.57  &  18.52  \\

 0.77  &  20.23  \\

 0.96  &  22.88  \\

 1.15  &  24.59  \\

 1.34  &  27.55  \\

 1.54  &  28.48  \\

 1.73  &  30.20  \\

\end{tabular}

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Solution 1}

\label{sec-6}

\begin{verbatim}

   S=[0.19,0.38,0.57,0.77,0.96,

     1.15,1.34,1.54,1.73]

   n=[10.74,14.01,18.52,20.23,

      22.88,24.59,27.55,28.48,30.20]

   plot(S,n,'o')

\end{verbatim}

\end{frame}

\begin{frame}

\frametitle{Question 2}

\label{sec-7}

\begin{itemize}

\item Plot the given experimental data with small dots.

\end{itemize}

  The data is on your screen.     

\end{frame}

\begin{frame}

\frametitle{Question 2 Data}

\label{sec-8}

\begin{center}

\begin{tabular}{rr}

    P  &     D  \\

 1.48  &  0.68  \\

 2.96  &  0.89  \\

 4.44  &  1.18  \\

 5.92  &  1.29  \\

 7.40  &  1.46  \\

 8.88  &  1.57  \\

 10.3  &  1.76  \\

 11.8  &  1.82  \\

 13.3  &  1.93  \\

\end{tabular}

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Solution 2}

\label{sec-9}

\begin{verbatim}

    P=[1.48,2.96,4.44,5.92,7.40,

      8.88,10.3,11.8,13.3]

    D=[0.68,0.89,1.18,1.29,1.46,

      1.57,1.76,1.82,1.93]

    plot(P,D,'.')

\end{verbatim}

\end{frame}

\begin{frame}

\frametitle{Adding Error}

\label{sec-10}

\begin{center}

\begin{tabular}{rrrr}

   L  &     T  &  $\delta$ L  &  $\delta$ T  \\

 0.1  &  0.69  &        0.08  &        0.04  \\

 0.2  &  0.90  &        0.09  &        0.08  \\

 0.3  &  1.19  &        0.07  &        0.03  \\

 0.4  &  1.30  &        0.05  &        0.05  \\

 0.5  &  1.47  &        0.06  &        0.03  \\

 0.6  &  1.58  &        0.00  &        0.03  \\

 0.7  &  1.77  &        0.06  &        0.04  \\

 0.8  &  1.83  &        0.06  &        0.07  \\

 0.9  &  1.94  &        0.01  &        0.08  \\

\end{tabular}

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Plotting Error bar}

\label{sec-11}

\begin{verbatim}

   errorbar(L,tsquare,xerr=delta_L, yerr=delta_T,

           fmt='b.')

\end{verbatim}

\end{frame}

\begin{frame}

\frametitle{Question 1}

\label{sec-12}

\begin{itemize}

\item Plot the given experimental data with large green dots.Also include

\end{itemize}

  the error in your plot. 

\end{frame}

\begin{frame}

\frametitle{Question 1 Data}

\label{sec-13}

  \#+ORGTBL: L vs T$^2$ orgtbl-to-latex

\begin{center}

\begin{tabular}{rrrr}

    S  &      n  &  $\delta$ S  &  $\delta$ n  \\

 0.19  &  10.74  &       0.006  &        0.61  \\

 0.38  &  14.01  &       0.006  &        0.69  \\

 0.57  &  18.52  &       0.005  &        0.53  \\

 0.77  &  20.23  &       0.003  &        0.38  \\

 0.96  &  22.88  &       0.004  &        0.46  \\

 1.15  &  24.59  &       0.007  &        0.37  \\

 1.34  &  27.55  &       0.004  &        0.46  \\

 1.54  &  28.48  &       0.004  &        0.46  \\

 1.73  &  30.20  &       0.007  &        0.37  \\

\end{tabular}

\end{center}

\end{frame}

\begin{frame}[fragile]

\frametitle{Solution 1}

\label{sec-14}

\begin{verbatim}

   S=[0.19,0.38,0.57,0.77,0.96,

     1.15,1.34,1.54,1.73]

   n=[10.74,14.01,18.52,20.23,

     22.88,24.59,27.55,28.48,30.20]

   delta_S=[0.006,0.006,0.005,0.003,

           0.004,0.007,0.004,0.004,0.007]

   delta_n=[0.61,0.69,0.53,0.38,0.46,

           0.37,0.46,0.46,0.37]

   errorbar(S,n,xerr=delta_S, yerr=delta_n, 

           fmt='go')

\end{verbatim}

\end{frame}

\begin{frame}[fragile]

\frametitle{Summary}

\label{sec-15}

\begin{verbatim}

  L = [0.1, 0.2, 0.3, 0.4, 0.5,                                             |

       0.6, 0.7, 0.8, 0.9]  

  plot(x,y,'o')

  plot(x,y,'.')

  errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, fmt='b.')    

\end{verbatim}

\end{frame}

\end{document}