author | Puneeth Chaganti <punchagan@fossee.in> |
Wed, 01 Dec 2010 16:51:35 +0530 | |
changeset 522 | d33698326409 |
permissions | -rw-r--r-- |
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Plotting Experimental Data |
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============================= |
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Hello and welcome , this tutorial on Plotting Experimental data is |
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presented by the fossee team. |
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{{{ Show the slide containing title }}} |
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{{{ Show the Outline Slide }}} |
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Here we will discuss plotting Experimental data. |
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1.We will see how we can represent a sequence of numbers in Python. |
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2.We will also become fimiliar with elementwise squaring of such a |
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sequence. |
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3. We will also see how we can use our graph to indicate Error. |
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One needs to be fimiliar with the concepts of plotting |
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mathematical functions in Python. |
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We will use data from a Simple Pendulum Experiment to illustrate our |
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points. |
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{{{ Simple Pendulum data Slide }}} |
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As we know for a simple pendulum length,L is directly proportional to |
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the square of time,T. We shall be plotting L and T^2 values. |
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First we will have to initiate L and T values. We initiate them as sequence |
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of values. To tell ipython a sequence of values we write the sequence in |
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comma seperated values inside two square brackets. This is also called List |
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so to create two sequences |
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L,t type in ipython shell. :: |
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In []: L = [0.1, 0.2, 0.3, 0.4, 0.5,0.6, 0.7, 0.8, 0.9] |
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In []: t= [0.69, 0.90, 1.19,1.30, 1.47, 1.58, 1.77, 1.83, 1.94] |
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To obtain the square of sequence t we will use the function square |
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with argument t.This is saved into the variable tsquare.:: |
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In []: tsquare=square(t) |
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array([ 0.4761, 0.81 , 1.4161, 1.69 , 2.1609, 2.4964, 3.1329, |
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3.3489, 3.7636]) |
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Now to plot L vs T^2 we will simply type :: |
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In []: plot(L,t,.) |
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'.' here represents to plot use small dots for the point. :: |
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In []: clf() |
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You can also specify 'o' for big dots.:: |
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In []: plot(L,t,o) |
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In []: clf() |
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{{{ Slide with Error data included }}} |
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Now we shall try and take into account error into our plots . The |
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Error values for L and T are on your screen.We shall again intialize |
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the sequence values in the same manner as we did for L and t :: |
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In []: delta_L= [0.08,0.09,0.07,0.05,0.06,0.00,0.06,0.06,0.01] |
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In []: delta_T= [0.04,0.08,0.11,0.05,0.03,0.03,0.01,0.07,0.01] |
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Now to plot L vs T^2 with an error bar we use the function errorbar() |
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The syntax of the command is as given on the screen. :: |
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In []: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, fmt='b.') |
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This gives a plot with error bar for x and y axis. The dots are of |
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blue color. |
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similarly we can draw the same error bar with big red dots just change |
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the parameters to fmt to 'ro'. :: |
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In []: clf() |
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In []: errorbar(L,tsquare,xerr=delta_L, yerr=delta_T, fmt='ro') |
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thats it. you can explore other options to errorbar using the documentation |
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of errorbar.:: |
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In []: errorbar? |
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{{{ Summary Slides }}} |
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In this tutorial we have learnt : |
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1. How to declare a sequence of number , specifically the kind of sequence we learned was a list. |
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2. Plotting experimental data extending our knowledge from mathematical functions. |
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3. The various options available for plotting dots instead of lines. |
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4. Plotting experimental data such that we can also represent error. We did this using the errorbar() function. |
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{{{ Show the "sponsored by FOSSEE" slide }}} |
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This tutorial was created as a part of FOSSEE project. |
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Hope you have enjoyed and found it useful. |
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Thankyou |
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Author : Amit Sethi |
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Internal Reviewer : |
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Internal Reviewer 2 : |