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10 #+TITLE: Plotting Experimental Data |
21 #+TITLE: Plotting Experimental Data |
11 #+AUTHOR: FOSSEE |
22 #+AUTHOR: FOSSEE |
12 #+DATE: 2010-09-14 Tue |
23 #+DATE: 2010-09-14 Tue |
13 #+EMAIL: info@fossee.in |
24 #+EMAIL: info@fossee.in |
14 |
25 |
15 # \author[FOSSEE] {FOSSEE} |
26 #+DESCRIPTION: |
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27 #+KEYWORDS: |
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28 #+LANGUAGE: en |
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29 #+OPTIONS: H:3 num:nil toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t |
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30 #+OPTIONS: TeX:t LaTeX:nil skip:nil d:nil todo:nil pri:nil tags:not-in-toc |
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31 |
17 # \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} |
32 * Outline |
18 # \date{} |
33 - Defining sequence of numbers |
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34 - Squaring sequence of numbers |
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35 - Plotting Data Points |
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36 - Indicating Error through Errorbars |
19 |
37 |
20 * Tutorial Plan |
38 * Simple Pendulum Data |
21 ** Plotting Experiment Data and Error Bars |
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22 * Pre-requisites |
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23 ** Plotting simple analytical Functions |
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24 * plot L vs. T^2 |
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25 |
39 |
26 #+ORGTBL: L vs T^2 orgtbl-to-latex |
40 #+ORGTBL: L vs T^2 orgtbl-to-latex |
27 |
41 |
28 | L | T | |
42 | L | T | |
29 | 0.1 | 0.69 | |
43 | 0.1 | 0.69 | |
34 | 0.6 | 1.58 | |
48 | 0.6 | 1.58 | |
35 | 0.7 | 1.77 | |
49 | 0.7 | 1.77 | |
36 | 0.8 | 1.83 | |
50 | 0.8 | 1.83 | |
37 | 0.9 | 1.94 | |
51 | 0.9 | 1.94 | |
38 |
52 |
39 |
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40 |
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41 |
53 |
42 * Initializing L & T |
54 * Initializing L & T |
43 : In []: L = [0.1, 0.2, 0.3, 0.4, 0.5, |
55 : L = [0.1, 0.2, 0.3, 0.4, 0.5, |
44 : 0.6, 0.7, 0.8, 0.9] |
56 : 0.6, 0.7, 0.8, 0.9] |
45 : In []: t = [0.69, 0.90, 1.19, |
57 : t = [0.69, 0.90, 1.19, |
46 : 1.30, 1.47, 1.58, |
58 : 1.30, 1.47, 1.58, |
47 : 1.77, 1.83, 1.94] |
59 : 1.77, 1.83, 1.94] |
48 * square() |
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49 : In []: tsquare=square(t) |
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50 |
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51 : array([ 0.4761, 0.81 , 1.4161, 1.69 , 2.1609, 2.4964, 3.1329, |
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52 : 3.3489, 3.7636]) |
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53 |
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54 |
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55 * Plotting |
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56 : In[]: plot(L,t,.) |
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57 |
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58 |
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59 : In[]: plot(L,t,o) |
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60 |
60 |
61 * Adding Error |
61 * Adding Error |
62 |
62 |
63 |
63 |
64 | L | T | /Delta L | /Delta T | |
64 | L | T | \delta L | \delta T | |
65 | 0.1 | 0.69 | 0.08 | 0.04 | |
65 | 0.1 | 0.69 | 0.08 | 0.04 | |
66 | 0.2 | 0.90 | 0.09 | 0.08 | |
66 | 0.2 | 0.90 | 0.09 | 0.08 | |
67 | 0.3 | 1.19 | 0.07 | 0.11 | |
67 | 0.3 | 1.19 | 0.07 | 0.03 | |
68 | 0.4 | 1.30 | 0.05 | 0.05 | |
68 | 0.4 | 1.30 | 0.05 | 0.05 | |
69 | 0.5 | 1.47 | 0.06 | 0.03 | |
69 | 0.5 | 1.47 | 0.06 | 0.03 | |
70 | 0.6 | 1.58 | 0.00 | 0.03 | |
70 | 0.6 | 1.58 | 0.00 | 0.03 | |
71 | 0.7 | 1.77 | 0.06 | 0.01 | |
71 | 0.7 | 1.77 | 0.06 | 0.04 | |
72 | 0.8 | 1.83 | 0.06 | 0.07 | |
72 | 0.8 | 1.83 | 0.06 | 0.07 | |
73 | 0.9 | 1.94 | 0.01 | 0.01 | |
73 | 0.9 | 1.94 | 0.01 | 0.08 | |
74 |
74 |
75 |
75 |
76 * Plotting Error bar |
76 * Plotting Error bar |
77 |
77 |
78 : In[]: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, |
78 : In[]: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, |
79 : fmt='b.') |
79 : fmt='b.') |
80 |
80 |
81 |
81 * Summary |
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82 : L = [0.1, 0.2, 0.3, 0.4, 0.5, | |
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83 : 0.6, 0.7, 0.8, 0.9] |
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84 : plot(x,y,'o') |
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85 : plot(x,y,'.') |
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86 : errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, fmt='b.') |