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#+TITLE: Plotting Experimental Data
#+AUTHOR: FOSSEE
#+DATE: 2010-09-14 Tue
#+EMAIL:     info@fossee.in

# \author[FOSSEE] {FOSSEE}

# \institute[IIT Bombay] {Department of Aerospace Engineering\\IIT Bombay}
# \date{}

* Tutorial Plan 
** Plotting Experiment Data and Error Bars 
* Pre-requisites 
** Plotting simple analytical Functions 
* plot L vs. T^2 

#+ORGTBL: L vs T^2 orgtbl-to-latex

  | 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 |
  
  


* Initializing L & T
  : In []: L = [0.1, 0.2, 0.3, 0.4, 0.5,
  :            0.6, 0.7, 0.8, 0.9]
  : In []: t = [0.69, 0.90, 1.19,
  :             1.30, 1.47, 1.58,
  :            1.77, 1.83, 1.94]
* square()
  : In []: tsquare=square(t)
  
  : array([ 0.4761,  0.81  ,  1.4161,  1.69  ,  2.1609,  2.4964,  3.1329,
  :       3.3489,  3.7636])

  
* Plotting   
  : In[]: plot(L,t,.)
  

  : In[]: plot(L,t,o)

* Adding an Error Column 


  |   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 |     0.11 |
  | 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 |     0.01 |
  | 0.8 | 1.83 |     0.06 |     0.07 |
  | 0.9 | 1.94 |     0.01 |     0.01 |
 
 
* Plotting Error bar 
  
  : In[]: delta_L= [0.08,0.09,0.07,0.05,0.16,
  :                0.00,0.06,0.06,0.01]
  : In[]: delta_T= [0.04,0.08,0.11,0.05,0.03,
  :                0.03,0.01,0.07,0.01]