% Created 2010-11-10 Wed 02:09 \documentclass[presentation]{beamer} \usepackage[latin1]{inputenc} \usepackage[T1]{fontenc} \usepackage{fixltx2e} \usepackage{graphicx} \usepackage{longtable} \usepackage{float} \usepackage{wrapfig} \usepackage{soul} \usepackage{t1enc} \usepackage{textcomp} \usepackage{marvosym} \usepackage{wasysym} \usepackage{latexsym} \usepackage{amssymb} \usepackage{hyperref} \tolerance=1000 \usepackage[english]{babel} \usepackage{ae,aecompl} \usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet} \usepackage{listings} \lstset{language=Python, basicstyle=\ttfamily\bfseries, 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,'.') \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}