Difference between revisions of "Python/C2/Plotting-the-data/English-timed"
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| − | + | |'''Time''' | |
| − | + | |'''Narration''' | |
|- | |- | ||
| − | | | + | | 00:01 |
| Hello Friends and Welcome to this tutorial on "Plotting Experimental data". | | Hello Friends and Welcome to this tutorial on "Plotting Experimental data". | ||
|- | |- | ||
| − | | | + | | 00:05 |
| At the end of this tutorial, you will be able to, | | At the end of this tutorial, you will be able to, | ||
| − | + | Define a list of numbers. | |
| − | + | perform element wise squaring of the list. | |
| − | + | Plot data points. | |
| − | + | plot errorbars. | |
| − | + | ||
|- | |- | ||
| − | | | + | | 00:18 |
| One needs to be familiar with the concepts of plotting mathematical functions in Python. | | One needs to be familiar with the concepts of plotting mathematical functions in Python. | ||
|- | |- | ||
| − | | | + | | 00:23 |
|We will use data from a Simple Pendulum Experiment to illustrate. | |We will use data from a Simple Pendulum Experiment to illustrate. | ||
|- | |- | ||
| − | | | + | | 00:30 |
| As we know for a simple pendulum, length L is directly proportional to the square of time T. | | As we know for a simple pendulum, length L is directly proportional to the square of time T. | ||
|- | |- | ||
| − | | | + | | 00:37 |
| We shall be plotting L and T square values. | | We shall be plotting L and T square values. | ||
|- | |- | ||
| − | | | + | | 00:40 |
|First we will have to initiate L and T values. | |First we will have to initiate L and T values. | ||
|- | |- | ||
| − | | | + | | 00:44 |
|We initiate them as sequence of values. | |We initiate them as sequence of values. | ||
|- | |- | ||
| − | | | + | | 00:47 |
| We define a sequence by comma separated values inside two square brackets. | | We define a sequence by comma separated values inside two square brackets. | ||
|- | |- | ||
| − | | | + | | 00:52 |
| This is also called a List. | | This is also called a List. | ||
|- | |- | ||
| − | | | + | | 00:54 |
| Let's create two sequences L and t. | | Let's create two sequences L and t. | ||
|- | |- | ||
| − | | | + | |00:58 |
|L = [0.1, 0.2, 0.3, 0.4, 0.5,0.6, 0.7, 0.8, 0.9] | |L = [0.1, 0.2, 0.3, 0.4, 0.5,0.6, 0.7, 0.8, 0.9] | ||
|- | |- | ||
| − | | | + | |01:10 |
|T= [0.69, 0.90, 1.19,1.30, 1.47, 1.58, 1.77, 1.83, 1.94] | |T= [0.69, 0.90, 1.19,1.30, 1.47, 1.58, 1.77, 1.83, 1.94] | ||
|- | |- | ||
| − | | | + | | 01:29 |
| To obtain the square of sequence T we will use the function square with argument T. | | To obtain the square of sequence T we will use the function square with argument T. | ||
|- | |- | ||
| − | | | + | | 01:36 |
|This is saved into the variable Tsquare. | |This is saved into the variable Tsquare. | ||
|- | |- | ||
| − | | | + | |01:38 |
|So type Tsquare=square withinbracket T | |So type Tsquare=square withinbracket T | ||
|- | |- | ||
| − | | | + | |01:55 |
|Tsqaure enter | |Tsqaure enter | ||
|- | |- | ||
| − | | | + | | 02:00 |
| Now to plot L versus T square, we will simply type | | Now to plot L versus T square, we will simply type | ||
|- | |- | ||
| − | | | + | |02:07 |
|plot within bracket L comma Tsquare comma within single quote dot | |plot within bracket L comma Tsquare comma within single quote dot | ||
|- | |- | ||
| − | | | + | | 02:21 |
|Here single quote dot displays the plot in a dot pattern. | |Here single quote dot displays the plot in a dot pattern. | ||
|- | |- | ||
| − | | | + | | 02:26 |
|You can also specify 'o' for big dots. | |You can also specify 'o' for big dots. | ||
|- | |- | ||
| − | | | + | | 02:31 |
| For this let us clear the first plot . | | For this let us clear the first plot . | ||
|- | |- | ||
| − | | | + | |02:34 |
|Type clf closing bracket and hit enter | |Type clf closing bracket and hit enter | ||
|- | |- | ||
| − | | | + | |02:39 |
|Then Type plot within bracket L comma Tsquare comma within single quote o hit enter now to clear the bracket type clf closing bracket | |Then Type plot within bracket L comma Tsquare comma within single quote o hit enter now to clear the bracket type clf closing bracket | ||
|- | |- | ||
| − | | | + | | 03:01 |
| Let us move further. | | Let us move further. | ||
|- | |- | ||
| − | | | + | | 03:03 |
| For any experimental there is always an error in measurements due to instrumental and human constraints. | | For any experimental there is always an error in measurements due to instrumental and human constraints. | ||
|- | |- | ||
| − | | | + | | 03:10 |
| Now we shall try and take these errors into account in our plots . | | Now we shall try and take these errors into account in our plots . | ||
|- | |- | ||
| − | | | + | | 03:17 |
| Pause the video here, try out the following exercise and resume the video. | | Pause the video here, try out the following exercise and resume the video. | ||
|- | |- | ||
| − | | | + | | 03:21 |
|Plot the given experimental data with large dots. | |Plot the given experimental data with large dots. | ||
|- | |- | ||
| − | | | + | | 03:25 |
| The data is on your screen. | | The data is on your screen. | ||
|- | |- | ||
| − | | | + | |03:29 |
| Its given in delta underscore delta L and delta underscore T | | Its given in delta underscore delta L and delta underscore T | ||
|- | |- | ||
| − | | | + | | 03:37 |
| We shall again initialize the sequence values in the same manner as we did for L and T. | | We shall again initialize the sequence values in the same manner as we did for L and T. | ||
|- | |- | ||
| − | | | + | | 03:48 |
| Now to plot L vs T square with an error bar we use the function errorbar() . | | Now to plot L vs T square with an error bar we use the function errorbar() . | ||
|- | |- | ||
| − | | | + | |04:00 |
|Before plotting the data we need to get the data of delta L and delta T | |Before plotting the data we need to get the data of delta L and delta T | ||
|- | |- | ||
| − | | | + | |04:05 |
|delta L= within square bracket 0.08,0.09,0.07,0.05,0.06,0.00,0.06,0.06,0.01 | |delta L= within square bracket 0.08,0.09,0.07,0.05,0.06,0.00,0.06,0.06,0.01 | ||
|- | |- | ||
| − | | | + | |04:25 |
|delta T= [0.04,0.08,0.03,0.05,0.03,0.03,0.04,0.07,0.08] | |delta T= [0.04,0.08,0.03,0.05,0.03,0.03,0.04,0.07,0.08] | ||
|- | |- | ||
| − | | | + | |04:40 |
|Now use the error function | |Now use the error function | ||
|- | |- | ||
| − | | | + | |04:44 |
|Type errorbar within bracket L comma Tsquare comma xerr=delta underscore L comma yerr=delta underscore T comma fmt= in single quote bo | |Type errorbar within bracket L comma Tsquare comma xerr=delta underscore L comma yerr=delta underscore T comma fmt= in single quote bo | ||
|- | |- | ||
| − | | | + | | 05:32 |
| This gives a plot with error bar of x and y axis. | | This gives a plot with error bar of x and y axis. | ||
|- | |- | ||
| − | | | + | | 05:36 |
| The dots are of blue color. | | The dots are of blue color. | ||
|- | |- | ||
| − | | | + | | 05:38 |
| The parameters xerr and yerr are error on x and y axis and fmt is the format of the plot. | | The parameters xerr and yerr are error on x and y axis and fmt is the format of the plot. | ||
|- | |- | ||
| − | | | + | | 05:46 |
|similarly we can draw the same error bar with small red dots just change the parameters of fmt to r dot. | |similarly we can draw the same error bar with small red dots just change the parameters of fmt to r dot. | ||
|- | |- | ||
| − | | | + | |05:59 |
| − | |Type clf() to clear the plot | + | |Type clf() to clear the plot errorbar within bracket L comma Tsquare comma xerr=delta underscore L comma yerr=delta underscore T comma fmt=in single quote r and hit enter. |
| − | errorbar within bracket L comma Tsquare comma xerr=delta underscore L comma yerr=delta underscore T comma fmt=in single quote r and hit enter. | + | |
|- | |- | ||
| − | | | + | | 06:24 |
| you can explore other options to errorbar using the documentation of errorbar. | | you can explore other options to errorbar using the documentation of errorbar. | ||
|- | |- | ||
| − | | | + | |06:30 |
|errorbar? on terminal | |errorbar? on terminal | ||
| + | |||
|- | |- | ||
| − | | | + | | 06:38 |
| Pause the video here, try out the following exercise and resume the video. | | Pause the video here, try out the following exercise and resume the video. | ||
|- | |- | ||
| − | | | + | | 06:44 |
|Plot the given experimental data with small dots and also include the error in your plot. | |Plot the given experimental data with small dots and also include the error in your plot. | ||
|- | |- | ||
| − | | | + | | 06:51 |
| The data is on your screen for delta s delta n | | The data is on your screen for delta s delta n | ||
|- | |- | ||
| − | | | + | | 07:00 |
| This brings us to the end of the end of this tutorial. | | This brings us to the end of the end of this tutorial. | ||
|- | |- | ||
| − | | | + | | 07:03 |
| − | | In this tutorial, we have learnt to, | + | | In this tutorial, we have learnt to, to declare a sequence of numbers using the function array. |
| − | + | ||
|- | |- | ||
| − | | | + | | 07:09 |
| − | | | + | | to perform elementwise squaring using the square function. |
|- | |- | ||
| − | | | + | | 07:14 |
| − | | | + | | to use the various options available for plotting like dots,lines. |
|- | |- | ||
| − | | | + | | 07:20 |
| − | | | + | | to Plot experimental data such that we can also represent error by using the errorbar() function. |
|- | |- | ||
| − | | | + | | 07:28 |
| Here are some self assessment questions for you to solve | | Here are some self assessment questions for you to solve | ||
|- | |- | ||
| − | | | + | | 07:32 |
| − | | | + | |Square the following sequence.br distance underscore values=within square bracket 2.1 comma 4.6 comma 8.72 comma 9.03 |
|- | |- | ||
| − | | | + | | 07:44 |
| − | | | + | | Plot L versus T in red pluses. |
|- | |- | ||
| − | | | + | | 07:52 |
| And the answers, | | And the answers, | ||
|- | |- | ||
| − | | | + | | 07:55 |
| − | | | + | | To square a sequence of values, we use the function square |
|- | |- | ||
| − | | | + | | 08:02 |
|So that we have to Type square within bracket distance underscore values | |So that we have to Type square within bracket distance underscore values | ||
|- | |- | ||
| − | | | + | | 08:09 |
| − | | | + | | We pass an additional argument stating the desired parameter |
|- | |- | ||
| − | | | + | | 08:14 |
| Type plot within bracket L comma T comma within single quote r+ | | Type plot within bracket L comma T comma within single quote r+ | ||
|- | |- | ||
| − | | | + | | 08:24 |
| Hope you have enjoyed this tutorial and found it useful. | | Hope you have enjoyed this tutorial and found it useful. | ||
|- | |- | ||
| − | | | + | |08:27 |
|Thank You! | |Thank You! | ||
Latest revision as of 10:48, 27 March 2017
| Time | Narration |
| 00:01 | Hello Friends and Welcome to this tutorial on "Plotting Experimental data". |
| 00:05 | At the end of this tutorial, you will be able to,
Define a list of numbers. perform element wise squaring of the list. Plot data points. plot errorbars. |
| 00:18 | One needs to be familiar with the concepts of plotting mathematical functions in Python. |
| 00:23 | We will use data from a Simple Pendulum Experiment to illustrate. |
| 00:30 | As we know for a simple pendulum, length L is directly proportional to the square of time T. |
| 00:37 | We shall be plotting L and T square values. |
| 00:40 | First we will have to initiate L and T values. |
| 00:44 | We initiate them as sequence of values. |
| 00:47 | We define a sequence by comma separated values inside two square brackets. |
| 00:52 | This is also called a List. |
| 00:54 | Let's create two sequences L and t. |
| 00:58 | L = [0.1, 0.2, 0.3, 0.4, 0.5,0.6, 0.7, 0.8, 0.9] |
| 01:10 | T= [0.69, 0.90, 1.19,1.30, 1.47, 1.58, 1.77, 1.83, 1.94] |
| 01:29 | To obtain the square of sequence T we will use the function square with argument T. |
| 01:36 | This is saved into the variable Tsquare. |
| 01:38 | So type Tsquare=square withinbracket T |
| 01:55 | Tsqaure enter |
| 02:00 | Now to plot L versus T square, we will simply type |
| 02:07 | plot within bracket L comma Tsquare comma within single quote dot |
| 02:21 | Here single quote dot displays the plot in a dot pattern. |
| 02:26 | You can also specify 'o' for big dots. |
| 02:31 | For this let us clear the first plot . |
| 02:34 | Type clf closing bracket and hit enter |
| 02:39 | Then Type plot within bracket L comma Tsquare comma within single quote o hit enter now to clear the bracket type clf closing bracket |
| 03:01 | Let us move further. |
| 03:03 | For any experimental there is always an error in measurements due to instrumental and human constraints. |
| 03:10 | Now we shall try and take these errors into account in our plots . |
| 03:17 | Pause the video here, try out the following exercise and resume the video. |
| 03:21 | Plot the given experimental data with large dots. |
| 03:25 | The data is on your screen. |
| 03:29 | Its given in delta underscore delta L and delta underscore T |
| 03:37 | We shall again initialize the sequence values in the same manner as we did for L and T. |
| 03:48 | Now to plot L vs T square with an error bar we use the function errorbar() . |
| 04:00 | Before plotting the data we need to get the data of delta L and delta T |
| 04:05 | delta L= within square bracket 0.08,0.09,0.07,0.05,0.06,0.00,0.06,0.06,0.01 |
| 04:25 | delta T= [0.04,0.08,0.03,0.05,0.03,0.03,0.04,0.07,0.08] |
| 04:40 | Now use the error function |
| 04:44 | Type errorbar within bracket L comma Tsquare comma xerr=delta underscore L comma yerr=delta underscore T comma fmt= in single quote bo |
| 05:32 | This gives a plot with error bar of x and y axis. |
| 05:36 | The dots are of blue color. |
| 05:38 | The parameters xerr and yerr are error on x and y axis and fmt is the format of the plot. |
| 05:46 | similarly we can draw the same error bar with small red dots just change the parameters of fmt to r dot. |
| 05:59 | Type clf() to clear the plot errorbar within bracket L comma Tsquare comma xerr=delta underscore L comma yerr=delta underscore T comma fmt=in single quote r and hit enter. |
| 06:24 | you can explore other options to errorbar using the documentation of errorbar. |
| 06:30 | errorbar? on terminal |
| 06:38 | Pause the video here, try out the following exercise and resume the video. |
| 06:44 | Plot the given experimental data with small dots and also include the error in your plot. |
| 06:51 | The data is on your screen for delta s delta n |
| 07:00 | This brings us to the end of the end of this tutorial. |
| 07:03 | In this tutorial, we have learnt to, to declare a sequence of numbers using the function array. |
| 07:09 | to perform elementwise squaring using the square function. |
| 07:14 | to use the various options available for plotting like dots,lines. |
| 07:20 | to Plot experimental data such that we can also represent error by using the errorbar() function. |
| 07:28 | Here are some self assessment questions for you to solve |
| 07:32 | Square the following sequence.br distance underscore values=within square bracket 2.1 comma 4.6 comma 8.72 comma 9.03 |
| 07:44 | Plot L versus T in red pluses. |
| 07:52 | And the answers, |
| 07:55 | To square a sequence of values, we use the function square |
| 08:02 | So that we have to Type square within bracket distance underscore values |
| 08:09 | We pass an additional argument stating the desired parameter |
| 08:14 | Type plot within bracket L comma T comma within single quote r+ |
| 08:24 | Hope you have enjoyed this tutorial and found it useful. |
| 08:27 | Thank You! |
