% Created 2010-11-10 Wed 02:09
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\usepackage{listings}
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\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,'.')
\end{verbatim}
\end{frame}
\begin{frame}
\frametitle{Thank you!}
\label{sec-16}
\begin{block}{}
\begin{center}
This spoken tutorial has been produced by the
\textcolor{blue}{FOSSEE} team, which is funded by the
\end{center}
\begin{center}
\textcolor{blue}{National Mission on Education through \\
Information \& Communication Technology \\
MHRD, Govt. of India}.
\end{center}
\end{block}
\end{frame}
\end{document}