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20 |
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: |
16 |
27 #+KEYWORDS: |
17 # \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay} |
28 #+LANGUAGE: en |
18 # \date{} |
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 |
20 * Tutorial Plan |
31 |
21 ** Plotting Experiment Data and Error Bars |
32 * Outline |
22 * Pre-requisites |
33 - Defining sequence of numbers |
23 ** Plotting simple analytical Functions |
34 - Squaring sequence of numbers |
24 * plot L vs. T^2 |
35 - Plotting Data Points |
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36 - Indicating Error through Errorbars |
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37 |
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38 * Simple Pendulum Data |
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() |
60 |
49 : In []: tsquare=square(t) |
61 |
50 |
62 |
51 : array([ 0.4761, 0.81 , 1.4161, 1.69 , 2.1609, 2.4964, 3.1329, |
63 * Question 1 |
52 : 3.3489, 3.7636]) |
64 - Plot the given experimental data with large dots. |
53 |
65 The data is on your screen. |
54 |
66 |
55 * Plotting |
67 |
56 : In[]: plot(L,t,.) |
68 * Question 1 Data |
57 |
69 |
58 |
70 #+ORGTBL: L vs T^2 orgtbl-to-latex |
59 : In[]: plot(L,t,o) |
71 |
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72 |
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73 | S | n | |
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74 | 0.19 | 10.74 | |
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75 | 0.38 | 14.01 | |
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76 | 0.57 | 18.52 | |
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77 | 0.77 | 20.23 | |
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78 | 0.96 | 22.88 | |
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79 | 1.15 | 24.59 | |
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80 | 1.34 | 27.55 | |
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81 | 1.54 | 28.48 | |
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82 | 1.73 | 30.20 | |
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83 |
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84 |
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85 * Solution 1 |
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86 |
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87 : S=[0.19,0.38,0.57,0.77,0.96, |
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88 : 1.15,1.34,1.54,1.73] |
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89 : n=[10.74,14.01,18.52,20.23, |
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90 : 22.88,24.59,27.55,28.48,30.20] |
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91 : plot(S,n,'o') |
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92 |
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93 * Question 2 |
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94 - Plot the given experimental data with small dots. |
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95 The data is on your screen. |
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96 |
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97 * Question 2 Data |
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98 |
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99 #+ORGTBL: L vs T^2 orgtbl-to-latex |
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100 |
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101 | P | D | |
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102 | 1.48 | 0.68 | |
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103 | 2.96 | 0.89 | |
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104 | 4.44 | 1.18 | |
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105 | 5.92 | 1.29 | |
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106 | 7.40 | 1.46 | |
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107 | 8.88 | 1.57 | |
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108 | 10.3 | 1.76 | |
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109 | 11.8 | 1.82 | |
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110 | 13.3 | 1.93 | |
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111 |
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112 * Solution 2 |
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113 |
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114 : P=[1.48,2.96,4.44,5.92,7.40, |
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115 : 8.88,10.3,11.8,13.3] |
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116 : D=[0.68,0.89,1.18,1.29,1.46, |
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117 : 1.57,1.76,1.82,1.93] |
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118 : plot(P,D,'.') |
60 |
119 |
61 * Adding Error |
120 * Adding Error |
62 |
121 |
63 |
122 #+ORGTBL: L vs T^2 orgtbl-to-latex |
64 | L | T | /Delta L | /Delta T | |
123 |
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124 | L | T | \delta L | \delta T | |
65 | 0.1 | 0.69 | 0.08 | 0.04 | |
125 | 0.1 | 0.69 | 0.08 | 0.04 | |
66 | 0.2 | 0.90 | 0.09 | 0.08 | |
126 | 0.2 | 0.90 | 0.09 | 0.08 | |
67 | 0.3 | 1.19 | 0.07 | 0.11 | |
127 | 0.3 | 1.19 | 0.07 | 0.03 | |
68 | 0.4 | 1.30 | 0.05 | 0.05 | |
128 | 0.4 | 1.30 | 0.05 | 0.05 | |
69 | 0.5 | 1.47 | 0.06 | 0.03 | |
129 | 0.5 | 1.47 | 0.06 | 0.03 | |
70 | 0.6 | 1.58 | 0.00 | 0.03 | |
130 | 0.6 | 1.58 | 0.00 | 0.03 | |
71 | 0.7 | 1.77 | 0.06 | 0.01 | |
131 | 0.7 | 1.77 | 0.06 | 0.04 | |
72 | 0.8 | 1.83 | 0.06 | 0.07 | |
132 | 0.8 | 1.83 | 0.06 | 0.07 | |
73 | 0.9 | 1.94 | 0.01 | 0.01 | |
133 | 0.9 | 1.94 | 0.01 | 0.08 | |
74 |
134 |
75 |
135 |
76 * Plotting Error bar |
136 * Plotting Error bar |
77 |
137 |
78 : In[]: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, |
138 : errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, |
79 : fmt='b.') |
139 : fmt='b.') |
80 |
140 |
81 |
141 |
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142 * Question 1 |
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143 |
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144 - Plot the given experimental data with large green dots.Also include |
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145 the error in your plot. |
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146 |
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147 |
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148 * Question 1 Data |
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149 |
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150 #+ORGTBL: L vs T^2 orgtbl-to-latex |
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151 |
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152 | S | n | \delta S | \delta n | |
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153 | 0.19 | 10.74 | 0.006 | 0.61 | |
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154 | 0.38 | 14.01 | 0.006 | 0.69 | |
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155 | 0.57 | 18.52 | 0.005 | 0.53 | |
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156 | 0.77 | 20.23 | 0.003 | 0.38 | |
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157 | 0.96 | 22.88 | 0.004 | 0.46 | |
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158 | 1.15 | 24.59 | 0.007 | 0.37 | |
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159 | 1.34 | 27.55 | 0.004 | 0.46 | |
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160 | 1.54 | 28.48 | 0.004 | 0.46 | |
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161 | 1.73 | 30.20 | 0.007 | 0.37 | |
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162 |
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163 |
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164 |
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165 |
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166 * Solution 1 |
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167 |
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168 : S=[0.19,0.38,0.57,0.77,0.96, |
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169 : 1.15,1.34,1.54,1.73] |
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170 : n=[10.74,14.01,18.52,20.23, |
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171 : 22.88,24.59,27.55,28.48,30.20] |
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172 : delta_S=[0.006,0.006,0.005,0.003, |
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173 : 0.004,0.007,0.004,0.004,0.007] |
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174 : delta_n=[0.61,0.69,0.53,0.38,0.46, |
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175 : 0.37,0.46,0.46,0.37] |
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176 : errorbar(S,n,xerr=delta_S, yerr=delta_n, |
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177 : fmt='go') |
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178 |
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179 * Summary |
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180 : L = [0.1, 0.2, 0.3, 0.4, 0.5, |
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181 : 0.6, 0.7, 0.8, 0.9] |
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182 : plot(x,y,'o') |
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183 : plot(x,y,'.') |
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184 * Thank you! |
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185 #+begin_latex |
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186 \begin{block}{} |
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187 \begin{center} |
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188 This spoken tutorial has been produced by the |
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189 \textcolor{blue}{FOSSEE} team, which is funded by the |
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190 \end{center} |
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191 \begin{center} |
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192 \textcolor{blue}{National Mission on Education through \\ |
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193 Information \& Communication Technology \\ |
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194 MHRD, Govt. of India}. |
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195 \end{center} |
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196 \end{block} |
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197 #+end_latex |
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198 |
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199 |
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200 |