1 % Created 2010-10-28 Thu 15:05 |
1 % Created 2010-11-10 Wed 02:09 |
2 \documentclass[presentation]{beamer} |
2 \documentclass[presentation]{beamer} |
3 \usetheme{Warsaw}\useoutertheme{infolines}\usecolortheme{default}\setbeamercovered{transparent} |
|
4 \usepackage[latin1]{inputenc} |
3 \usepackage[latin1]{inputenc} |
5 \usepackage[T1]{fontenc} |
4 \usepackage[T1]{fontenc} |
|
5 \usepackage{fixltx2e} |
6 \usepackage{graphicx} |
6 \usepackage{graphicx} |
7 \usepackage{longtable} |
7 \usepackage{longtable} |
8 \usepackage{float} |
8 \usepackage{float} |
9 \usepackage{wrapfig} |
9 \usepackage{wrapfig} |
10 \usepackage{soul} |
10 \usepackage{soul} |
|
11 \usepackage{t1enc} |
|
12 \usepackage{textcomp} |
|
13 \usepackage{marvosym} |
|
14 \usepackage{wasysym} |
|
15 \usepackage{latexsym} |
11 \usepackage{amssymb} |
16 \usepackage{amssymb} |
12 \usepackage{hyperref} |
17 \usepackage{hyperref} |
13 |
18 \tolerance=1000 |
|
19 \usepackage[english]{babel} \usepackage{ae,aecompl} |
|
20 \usepackage{mathpazo,courier,euler} \usepackage[scaled=.95]{helvet} |
|
21 \usepackage{listings} |
|
22 \lstset{language=Python, basicstyle=\ttfamily\bfseries, |
|
23 commentstyle=\color{red}\itshape, stringstyle=\color{darkgreen}, |
|
24 showstringspaces=false, keywordstyle=\color{blue}\bfseries} |
|
25 \providecommand{\alert}[1]{\textbf{#1}} |
14 |
26 |
15 \title{Plotting Experimental Data} |
27 \title{Plotting Experimental Data} |
16 \author{FOSSEE} |
28 \author{FOSSEE} |
17 \date{2010-09-14 Tue} |
29 \date{2010-09-14 Tue} |
18 |
30 |
|
31 \usetheme{Warsaw}\usecolortheme{default}\useoutertheme{infolines}\setbeamercovered{transparent} |
19 \begin{document} |
32 \begin{document} |
20 |
33 |
21 \maketitle |
34 \maketitle |
22 |
35 |
23 |
36 |
24 |
37 |
25 |
38 |
26 |
39 |
27 |
40 |
28 \begin{frame} |
41 |
29 \frametitle{Tutorial Plan} |
42 |
|
43 |
|
44 \begin{frame} |
|
45 \frametitle{Outline} |
30 \label{sec-1} |
46 \label{sec-1} |
|
47 |
31 \begin{itemize} |
48 \begin{itemize} |
32 |
49 \item Defining sequence of numbers |
33 \item Plotting Experiment Data and Error Bars\\ |
50 \item Squaring sequence of numbers |
34 \label{sec-1.1}% |
51 \item Plotting Data Points |
35 \end{itemize} % ends low level |
52 \item Indicating Error through Errorbars |
36 \end{frame} |
53 \end{itemize} |
37 \begin{frame} |
54 \end{frame} |
38 \frametitle{Pre-requisites} |
55 \begin{frame} |
|
56 \frametitle{Simple Pendulum Data} |
39 \label{sec-2} |
57 \label{sec-2} |
40 \begin{itemize} |
|
41 |
|
42 \item Plotting simple analytical Functions\\ |
|
43 \label{sec-2.1}% |
|
44 \end{itemize} % ends low level |
|
45 \end{frame} |
|
46 \begin{frame} |
|
47 \frametitle{plot L vs. T$^2$} |
|
48 \label{sec-3} |
|
49 |
58 |
50 |
59 |
51 |
60 |
52 |
61 |
53 \begin{center} |
62 \begin{center} |
65 \end{tabular} |
74 \end{tabular} |
66 \end{center} |
75 \end{center} |
67 |
76 |
68 |
77 |
69 |
78 |
70 |
|
71 \end{frame} |
79 \end{frame} |
72 \begin{frame}[fragile] |
80 \begin{frame}[fragile] |
73 \frametitle{Initializing L \& T} |
81 \frametitle{Initializing L \& T} |
|
82 \label{sec-3} |
|
83 |
|
84 \begin{verbatim} |
|
85 L = [0.1, 0.2, 0.3, 0.4, 0.5, |
|
86 0.6, 0.7, 0.8, 0.9] |
|
87 t = [0.69, 0.90, 1.19, |
|
88 1.30, 1.47, 1.58, |
|
89 1.77, 1.83, 1.94] |
|
90 \end{verbatim} |
|
91 \end{frame} |
|
92 \begin{frame} |
|
93 \frametitle{Question 1} |
74 \label{sec-4} |
94 \label{sec-4} |
75 |
95 |
76 \begin{verbatim} |
96 \begin{itemize} |
77 In []: L = [0.1, 0.2, 0.3, 0.4, 0.5, |
97 \item Plot the given experimental data with large dots. |
78 0.6, 0.7, 0.8, 0.9] |
98 \end{itemize} |
79 In []: t = [0.69, 0.90, 1.19, |
99 |
80 1.30, 1.47, 1.58, |
100 The data is on your screen. |
81 1.77, 1.83, 1.94] |
101 |
82 \end{verbatim} |
102 \end{frame} |
83 \end{frame} |
103 \begin{frame} |
84 \begin{frame}[fragile] |
104 \frametitle{Question 1 Data} |
85 \frametitle{square()} |
|
86 \label{sec-5} |
105 \label{sec-5} |
87 |
106 |
88 \begin{verbatim} |
107 |
89 In []: tsquare=square(t) |
108 |
90 \end{verbatim} |
109 |
91 |
110 |
92 |
111 \begin{center} |
93 \begin{verbatim} |
112 \begin{tabular}{rr} |
94 array([ 0.4761, 0.81 , 1.4161, 1.69 , 2.1609, 2.4964, 3.1329, |
113 S & n \\ |
95 3.3489, 3.7636]) |
114 0.19 & 10.74 \\ |
96 \end{verbatim} |
115 0.38 & 14.01 \\ |
97 |
116 0.57 & 18.52 \\ |
98 |
117 0.77 & 20.23 \\ |
99 |
118 0.96 & 22.88 \\ |
100 \end{frame} |
119 1.15 & 24.59 \\ |
101 \begin{frame}[fragile] |
120 1.34 & 27.55 \\ |
102 \frametitle{Plotting} |
121 1.54 & 28.48 \\ |
|
122 1.73 & 30.20 \\ |
|
123 \end{tabular} |
|
124 \end{center} |
|
125 |
|
126 |
|
127 |
|
128 \end{frame} |
|
129 \begin{frame}[fragile] |
|
130 \frametitle{Solution 1} |
103 \label{sec-6} |
131 \label{sec-6} |
104 |
132 |
105 \begin{verbatim} |
133 |
106 In[]: plot(L,t,.) |
134 \begin{verbatim} |
107 \end{verbatim} |
135 S=[0.19,0.38,0.57,0.77,0.96, |
108 |
136 1.15,1.34,1.54,1.73] |
109 |
137 n=[10.74,14.01,18.52,20.23, |
110 |
138 22.88,24.59,27.55,28.48,30.20] |
111 \begin{verbatim} |
139 plot(S,n,'o') |
112 In[]: plot(L,t,o) |
140 \end{verbatim} |
|
141 \end{frame} |
|
142 \begin{frame} |
|
143 \frametitle{Question 2} |
|
144 \label{sec-7} |
|
145 |
|
146 \begin{itemize} |
|
147 \item Plot the given experimental data with small dots. |
|
148 \end{itemize} |
|
149 |
|
150 The data is on your screen. |
|
151 \end{frame} |
|
152 \begin{frame} |
|
153 \frametitle{Question 2 Data} |
|
154 \label{sec-8} |
|
155 |
|
156 |
|
157 |
|
158 |
|
159 \begin{center} |
|
160 \begin{tabular}{rr} |
|
161 P & D \\ |
|
162 1.48 & 0.68 \\ |
|
163 2.96 & 0.89 \\ |
|
164 4.44 & 1.18 \\ |
|
165 5.92 & 1.29 \\ |
|
166 7.40 & 1.46 \\ |
|
167 8.88 & 1.57 \\ |
|
168 10.3 & 1.76 \\ |
|
169 11.8 & 1.82 \\ |
|
170 13.3 & 1.93 \\ |
|
171 \end{tabular} |
|
172 \end{center} |
|
173 |
|
174 |
|
175 |
|
176 \end{frame} |
|
177 \begin{frame}[fragile] |
|
178 \frametitle{Solution 2} |
|
179 \label{sec-9} |
|
180 |
|
181 |
|
182 \begin{verbatim} |
|
183 P=[1.48,2.96,4.44,5.92,7.40, |
|
184 8.88,10.3,11.8,13.3] |
|
185 D=[0.68,0.89,1.18,1.29,1.46, |
|
186 1.57,1.76,1.82,1.93] |
|
187 plot(P,D,'.') |
113 \end{verbatim} |
188 \end{verbatim} |
114 \end{frame} |
189 \end{frame} |
115 \begin{frame} |
190 \begin{frame} |
116 \frametitle{Adding Error} |
191 \frametitle{Adding Error} |
117 \label{sec-7} |
192 \label{sec-10} |
118 |
193 |
119 |
194 |
120 |
195 |
121 |
196 |
122 \begin{center} |
197 \begin{center} |
123 \begin{tabular}{rrrr} |
198 \begin{tabular}{rrrr} |
124 L & T & /Delta L & /Delta T \\ |
199 L & T & $\delta$ L & $\delta$ T \\ |
125 0.1 & 0.69 & 0.08 & 0.04 \\ |
200 0.1 & 0.69 & 0.08 & 0.04 \\ |
126 0.2 & 0.90 & 0.09 & 0.08 \\ |
201 0.2 & 0.90 & 0.09 & 0.08 \\ |
127 0.3 & 1.19 & 0.07 & 0.11 \\ |
202 0.3 & 1.19 & 0.07 & 0.03 \\ |
128 0.4 & 1.30 & 0.05 & 0.05 \\ |
203 0.4 & 1.30 & 0.05 & 0.05 \\ |
129 0.5 & 1.47 & 0.06 & 0.03 \\ |
204 0.5 & 1.47 & 0.06 & 0.03 \\ |
130 0.6 & 1.58 & 0.00 & 0.03 \\ |
205 0.6 & 1.58 & 0.00 & 0.03 \\ |
131 0.7 & 1.77 & 0.06 & 0.01 \\ |
206 0.7 & 1.77 & 0.06 & 0.04 \\ |
132 0.8 & 1.83 & 0.06 & 0.07 \\ |
207 0.8 & 1.83 & 0.06 & 0.07 \\ |
133 0.9 & 1.94 & 0.01 & 0.01 \\ |
208 0.9 & 1.94 & 0.01 & 0.08 \\ |
134 \end{tabular} |
209 \end{tabular} |
135 \end{center} |
210 \end{center} |
136 |
211 |
137 |
212 |
138 |
213 |
139 |
214 |
140 \end{frame} |
215 \end{frame} |
141 \begin{frame}[fragile] |
216 \begin{frame}[fragile] |
142 \frametitle{Plotting Error bar} |
217 \frametitle{Plotting Error bar} |
143 \label{sec-8} |
218 \label{sec-11} |
144 |
219 |
145 |
220 |
146 \begin{verbatim} |
221 \begin{verbatim} |
147 In[]: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, |
222 errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, |
148 fmt='b.') |
223 fmt='b.') |
149 \end{verbatim} |
224 \end{verbatim} |
|
225 \end{frame} |
|
226 \begin{frame} |
|
227 \frametitle{Question 1} |
|
228 \label{sec-12} |
|
229 |
|
230 |
|
231 \begin{itemize} |
|
232 \item Plot the given experimental data with large green dots.Also include |
|
233 \end{itemize} |
|
234 |
|
235 the error in your plot. |
|
236 |
|
237 |
|
238 \end{frame} |
|
239 \begin{frame} |
|
240 \frametitle{Question 1 Data} |
|
241 \label{sec-13} |
|
242 |
|
243 |
|
244 \#+ORGTBL: L vs T$^2$ orgtbl-to-latex |
|
245 |
|
246 |
|
247 \begin{center} |
|
248 \begin{tabular}{rrrr} |
|
249 S & n & $\delta$ S & $\delta$ n \\ |
|
250 0.19 & 10.74 & 0.006 & 0.61 \\ |
|
251 0.38 & 14.01 & 0.006 & 0.69 \\ |
|
252 0.57 & 18.52 & 0.005 & 0.53 \\ |
|
253 0.77 & 20.23 & 0.003 & 0.38 \\ |
|
254 0.96 & 22.88 & 0.004 & 0.46 \\ |
|
255 1.15 & 24.59 & 0.007 & 0.37 \\ |
|
256 1.34 & 27.55 & 0.004 & 0.46 \\ |
|
257 1.54 & 28.48 & 0.004 & 0.46 \\ |
|
258 1.73 & 30.20 & 0.007 & 0.37 \\ |
|
259 \end{tabular} |
|
260 \end{center} |
|
261 |
|
262 |
|
263 |
|
264 |
|
265 |
|
266 \end{frame} |
|
267 \begin{frame}[fragile] |
|
268 \frametitle{Solution 1} |
|
269 \label{sec-14} |
|
270 |
|
271 |
|
272 \begin{verbatim} |
|
273 S=[0.19,0.38,0.57,0.77,0.96, |
|
274 1.15,1.34,1.54,1.73] |
|
275 n=[10.74,14.01,18.52,20.23, |
|
276 22.88,24.59,27.55,28.48,30.20] |
|
277 delta_S=[0.006,0.006,0.005,0.003, |
|
278 0.004,0.007,0.004,0.004,0.007] |
|
279 delta_n=[0.61,0.69,0.53,0.38,0.46, |
|
280 0.37,0.46,0.46,0.37] |
|
281 errorbar(S,n,xerr=delta_S, yerr=delta_n, |
|
282 fmt='go') |
|
283 \end{verbatim} |
|
284 \end{frame} |
|
285 \begin{frame}[fragile] |
|
286 \frametitle{Summary} |
|
287 \label{sec-15} |
|
288 |
|
289 \begin{verbatim} |
|
290 L = [0.1, 0.2, 0.3, 0.4, 0.5, |
|
291 0.6, 0.7, 0.8, 0.9] |
|
292 plot(x,y,'o') |
|
293 plot(x,y,'.') |
|
294 \end{verbatim} |
|
295 \end{frame} |
|
296 \begin{frame} |
|
297 \frametitle{Thank you!} |
|
298 \label{sec-16} |
|
299 |
|
300 \begin{block}{} |
|
301 \begin{center} |
|
302 This spoken tutorial has been produced by the |
|
303 \textcolor{blue}{FOSSEE} team, which is funded by the |
|
304 \end{center} |
|
305 \begin{center} |
|
306 \textcolor{blue}{National Mission on Education through \\ |
|
307 Information \& Communication Technology \\ |
|
308 MHRD, Govt. of India}. |
|
309 \end{center} |
|
310 \end{block} |
150 \end{frame} |
311 \end{frame} |
151 |
312 |
152 \end{document} |
313 \end{document} |