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#+OPTIONS:   H:5 num:t toc:nil \n:nil @:t ::t |:t ^:t -:t f:t *:t <:t

#+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 Error 

  |   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[]: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T,

  :                fmt='b.')