Difference between revisions of "Python-3.4.3/C2/Subplots/English"
(Created page with ": '''Python/C2/Subplots/English''' '''Title of script''': '''Subplots''' '''Author: Aditya Palaparthy''' '''Keywords: Python, IPython,''' '''plot, subplot''' {| style="bo...") |
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containing title, name of the production team along with the logo of MHRD | containing title, name of the production team along with the logo of MHRD | ||
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| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Hello Friends. Welcome to the spoken tutorial on "'''Subplots'''". | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Hello Friends. Welcome to the spoken tutorial on "'''Subplots'''". | ||
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Objectives | Objectives | ||
− | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| At the end of this tutorial, you will be able to create and switch between '''subplots'''. | |
− | + | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| At the end of this tutorial, you will be able to | + | |
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* '''Python 3.4.3''' | * '''Python 3.4.3''' | ||
* '''IPython 5.1.0''' | * '''IPython 5.1.0''' | ||
− | |||
− | |||
|- | |- | ||
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| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| To practise this tutorial, you should know how to | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| To practise this tutorial, you should know how to | ||
− | * | + | * Run basic '''Python '''commands on the '''ipython console''' |
− | * | + | * Use '''Plots''' interactively |
* Embellish a '''plot''' | * Embellish a '''plot''' | ||
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'''ipython3''' | '''ipython3''' | ||
− | |||
− | |||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Let us first open the '''Terminal '''by pressing '''Ctrl+Alt+T '''keys simultaneously. | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Let us first open the '''Terminal '''by pressing '''Ctrl+Alt+T '''keys simultaneously. | ||
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| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [IPython console] | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [IPython console] | ||
− | ''' | + | '''percentage pylab '''and press '''Enter.''' |
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Let us initialise the pylab package | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Let us initialise the '''pylab package'''. |
− | Type ''' | + | Type '''percentage pylab '''and press''' Enter''' |
|- | |- | ||
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'''plot(y, y ** 2)''' | '''plot(y, y ** 2)''' | ||
− | |||
− | |||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | ||
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− | Let us now create two plots | + | Let us now create two '''plots'''- a '''cosine plot''' and an '''exponential curve''' in the same '''plotting area'''. |
Type | Type | ||
− | '''x | + | '''x equals to linspace''' inside '''brackets 0 comma 50 comma 500 '''and press '''Enter'''. |
− | '''plot | + | '''plot''' inside '''brackets x comma cos(x)''' |
− | |||
− | + | Type | |
− | ''' | + | '''y equals to linspace''' inside '''brackets 0 comma 5 comma 100.''' |
+ | '''plot''' inside '''brackets y comma y square.''' | ||
|- | |- | ||
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[Plot Window] | [Plot Window] | ||
− | |||
− | |||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | ||
− | Here the two '''plots''' have different regular '''axes''' | + | Here the two '''plots''' have different regular '''axes.''' So we cannot draw '''overlaid plots. ''' |
− | + | ||
− | + | ||
− | + | ||
|- | |- | ||
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'''subplot(2, 1, 1)''' | '''subplot(2, 1, 1)''' | ||
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− | |||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | ||
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In such cases we can draw '''subplots'''. | In such cases we can draw '''subplots'''. | ||
+ | We use '''subplot command''' to accomplish this. | ||
− | |||
Type | Type | ||
Line 158: | Line 134: | ||
'''clf()''' | '''clf()''' | ||
− | '''subplot | + | '''subplot''' inside the '''brackets 2 comma 1 comma 1''' |
− | + | ||
− | + | ||
− | + | ||
|- | |- | ||
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|- | |- | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Pause for a while | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Pause for a while and highlight |
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| The '''subplot | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| The '''subplot command''' takes three '''arguments.''' |
The first '''argument''' is the number of '''rows''' of '''subplots''' that must be created. | The first '''argument''' is the number of '''rows''' of '''subplots''' that must be created. | ||
− | Here the first '''argument''' is 2, to split | + | Here the first '''argument''' is 2, to split the '''plot horizontally'''. |
+ | |- | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Pause for a while and highlight | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"|The second '''argument''' is the number of '''columns''' of '''subplots''' that must be created. | ||
− | + | Here the second '''argument '''is 1. So '''plot''' will not split '''vertically.''' | |
− | + | ||
− | + | ||
− | Here the second '''argument '''is 1 | + | |
− | + | ||
− | + | ||
− | + | ||
+ | |- | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Pause for a while and highlight | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"|The last '''argument''' specifies the '''serial number '''for the''' subplot'''. | ||
Here we passed 1 as the '''argument''', which creates the '''upper subplot''' | Here we passed 1 as the '''argument''', which creates the '''upper subplot''' | ||
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| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| If we execute the '''subplot command''' as | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| If we execute the '''subplot command''' as | ||
− | '''subplot | + | *'''subplot''' inside the '''brackets 2 comma 1 comma 2''' |
− | + | the '''lower subplot''' is created. | |
|- | |- | ||
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+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now we can draw '''plots''' in each of the '''subplot area''' using the '''plot command'''. | ||
− | + | Type | |
+ | '''subplot''' inside '''brackets 2 comma 1 comma 1''' | ||
− | + | '''plot''' inside '''brackets x comma cos(x)''' | |
− | |||
− | + | Now type | |
− | '''subplot | + | '''subplot''' inside '''brackets 2 comma 1 comma 2 ''' |
− | '''plot | + | '''plot y comma y square''' |
|- | |- | ||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [Plot window] | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [Plot window] | ||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| This created two '''plots''' one in each of the''' subplot''' area. | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| This created two '''plots''' one in each of the''' subplot''' area. | ||
+ | *The top '''subplot''' holds a '''cosine curve''' | ||
+ | *And the bottom '''subplot''' holds a '''parabola'''. | ||
+ | |- | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [Plot window] | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"|It is clear from the two '''subplots''' that both have different '''regular axes'''. | ||
− | + | |- | |
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [Plot window] | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"|For the '''cosine curve, x-axis''' varies from 0 to 50 and '''y-axis''' varies from '''minus '''1 to 1. | ||
− | + | |- | |
− | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [Plot window] | |
− | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"|For the '''parabolic curve, x-axis''' varies from 0 to 5 and '''y-axis''' varies from 0 to 25. | |
− | + | ||
− | + | ||
− | For the '''parabolic curve x-axis''' varies from 0 to 5 and '''y-axis''' varies from 0 to 25. | + | |
|- | |- | ||
| style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [IPython Terminal] | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| [IPython Terminal] | ||
− | |||
− | |||
'''clf()''' | '''clf()''' | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now clear the plot window |
|- | |- | ||
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Exercise 1 | Exercise 1 | ||
− | |||
* '''Pressure, Volume '''and''' Temperatures '''are held by the '''equation PV = nRT''' where '''nR''' is a '''constant'''. | * '''Pressure, Volume '''and''' Temperatures '''are held by the '''equation PV = nRT''' where '''nR''' is a '''constant'''. | ||
− | * | + | * Assume '''nR =0.01 Joules/Kelvin''' and '''T = 200K'''. V can be in the '''range''' from '''21cc to 100cc'''. |
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− | '''Pressure, Volume '''and''' Temperatures '''are held by the '''equation | + | #'''Pressure, Volume '''and''' Temperatures '''are held by the '''equation Pv equals to nRT''' where '''nR''' is a '''constant'''. |
− | + | #Assume '''nR equals to 0.01 Joules per Kelvin''' and '''T equals to 200K'''. '''V''' can be in the '''range''' from '''21cc to 100cc'''. | |
− | + | ||
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* '''Pressure v/s Volume plot '''and | * '''Pressure v/s Volume plot '''and | ||
− | |||
* '''Pressure v/s Temperature plot'''. | * '''Pressure v/s Temperature plot'''. | ||
− | |||
− | |||
|- | |- | ||
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'''v = linspace(21, 100, 500)''' | '''v = linspace(21, 100, 500)''' | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| To start with, we have been given the '''range''' of '''Volume''' | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| To start with, we have been given the '''range''' of '''Volume''' from which we can define the variable '''v.''' |
+ | |||
+ | '''v equals to linspace''' inside '''brackets 21 comma 100 comma 500''' | ||
|- | |- | ||
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'''plot(v, 2.0/v)''' | '''plot(v, 2.0/v)''' | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| We can create first '''subplot''' and draw '''Pressure''' v/s '''Volume''' '''graph '''using this '''v'''. | ||
+ | *'''subplot(2 comma 1 comma 1) ''' | ||
− | + | *'''plot(v comma 2 point 0 by v)''' | |
+ | We know that '''nRT''' is a '''constant''' which is equal to 2.0 | ||
− | + | since | |
+ | *'''nR''' = equals to 0.01 '''Joules per Kelvin''' | ||
+ | |||
+ | * and '''T''' equals to 200 '''Kelvin ''' | ||
|- | |- | ||
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'''plot(200, 2.0/v)''' | '''plot(200, 2.0/v)''' | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now we can create the second '''subplot''' and draw the '''Pressure''' v/s '''Temperature plot''' as follows | ||
+ | *'''subplot(2 comma 1 comma 2)''' | ||
− | + | *'''plot(200 comma 2 point 0 divided by v)''' | |
|- | |- | ||
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'''t = linspace(200, 200, 500) ''' | '''t = linspace(200, 200, 500) ''' | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| We have an error now, telling '''x''' and '''y dimensions''' don't match. | ||
+ | So we will create same number of '''points''' for '''temperature.''' | ||
− | |||
+ | Type | ||
− | + | '''t equals to linspace''' inside '''brackets 200 comma 200 comma 500. ''' | |
|- | |- | ||
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'''plot(t, 2.0/v) ''' | '''plot(t, 2.0/v) ''' | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now, we have 500 values in '''t '''and each with the value 200 '''Kelvin'''. | ||
+ | '''Plotting''' this data, we get the required '''plot. ''' | ||
− | + | ||
+ | Type | ||
+ | |||
+ | '''plot''' inside '''brackets t comma 2 point 0 divided by v''' | ||
|- | |- | ||
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Summary slide | Summary slide | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| This brings us to the end of this tutorial. | ||
− | + | In this tutorial, we have learnt to create '''subplots '''and to '''switch''' between them. | |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
|- | |- | ||
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− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Here are some self assessment questions for you to solve | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Here are some self assessment questions for you to solve. |
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
− | + | ||
+ | # Which of the following is correct? | ||
+ | #* '''subplot''' inside '''brackets numRows comma numCols, plotNum ''' | ||
+ | #* '''subplot''' inside '''brackets numRows comma numCols ''' | ||
+ | #* '''subplot''' inside '''brackets numCols comma numRows''' | ||
|- | |- | ||
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Solutions | Solutions | ||
+ | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| And the answer is first option. | ||
− | + | # The''' subplot command''' takes three '''arguments''' namely the number of '''rows''', number of '''columns''' and the '''plot number'''. | |
− | + | ||
− | + | ||
− | # The''' subplot''' | + | |
− | + | ||
− | + | ||
|- | |- | ||
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Thank You | Thank You | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| This is | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| This is Usha from IIT Bombay signing off. |
− | Thank You | + | Thank You. |
|} | |} |
Latest revision as of 18:14, 9 March 2017
- Python/C2/Subplots/English
Title of script: Subplots
Author: Aditya Palaparthy
Keywords: Python, IPython, plot, subplot
|
|
Show Slide
containing title, name of the production team along with the logo of MHRD |
Hello Friends. Welcome to the spoken tutorial on "Subplots".
|
Show Slide
Objectives |
At the end of this tutorial, you will be able to create and switch between subplots. |
Show Slide
System Specifications |
To record this tutorial, I am using
|
Show Slide
Pre-requisites |
To practise this tutorial, you should know how to
If not, see the pre-requisite Python tutorials on this website. |
[Terminal]
ipython3 |
Let us first open the Terminal by pressing Ctrl+Alt+T keys simultaneously.
|
[IPython console]
percentage pylab and press Enter. |
Let us initialise the pylab package.
|
[IPython Terminal] x = linspace(0, 50, 500) plot(x, cos(x)) y = linspace(0, 5, 100) plot(y, y ** 2) |
To compare two plots we draw the plots in the same plotting area.
x equals to linspace inside brackets 0 comma 50 comma 500 and press Enter. plot inside brackets x comma cos(x)
y equals to linspace inside brackets 0 comma 5 comma 100.
plot inside brackets y comma y square. |
[Plot Window] |
Here the two plots have different regular axes. So we cannot draw overlaid plots. |
[IPython Terminal]
subplot(2, 1, 1) |
In such cases we can draw subplots. We use subplot command to accomplish this.
clf() subplot inside the brackets 2 comma 1 comma 1 |
[Plot Window] | We can see the first subplot. |
Pause for a while and highlight | The subplot command takes three arguments.
Here the first argument is 2, to split the plot horizontally. |
Pause for a while and highlight | The second argument is the number of columns of subplots that must be created.
Here the second argument is 1. So plot will not split vertically. |
Pause for a while and highlight | The last argument specifies the serial number for the subplot.
Here we passed 1 as the argument, which creates the upper subplot |
[IPython Terminal]
|
If we execute the subplot command as
the lower subplot is created. |
[Plot Window] | Here, we can see two subplots. |
[IPython Terminal]
x = linspace(0, 50, 500) subplot(2, 1, 1) plot(x, cos(x)) y = linspace(0, 5, 100) subplot(2, 1, 2) plot(y, y ** 2)
|
Now we can draw plots in each of the subplot area using the plot command.
Type subplot inside brackets 2 comma 1 comma 1 plot inside brackets x comma cos(x)
subplot inside brackets 2 comma 1 comma 2 plot y comma y square |
[Plot window] | This created two plots one in each of the subplot area.
|
[Plot window] | It is clear from the two subplots that both have different regular axes. |
[Plot window] | For the cosine curve, x-axis varies from 0 to 50 and y-axis varies from minus 1 to 1. |
[Plot window] | For the parabolic curve, x-axis varies from 0 to 5 and y-axis varies from 0 to 25. |
[IPython Terminal]
clf() |
Now clear the plot window |
Show Slide
Exercise 1
|
Pause the video. Try this exercise and then resume the video
|
Switch to the terminal for the solution. | |
[IPython Terminal]
v = linspace(21, 100, 500) |
To start with, we have been given the range of Volume from which we can define the variable v.
v equals to linspace inside brackets 21 comma 100 comma 500 |
[IPython Terminal]
subplot(2, 1, 1) plot(v, 2.0/v) |
We can create first subplot and draw Pressure v/s Volume graph using this v.
We know that nRT is a constant which is equal to 2.0 since
|
[IPython Terminal]
subplot(2, 1, 2) plot(200, 2.0/v) |
Now we can create the second subplot and draw the Pressure v/s Temperature plot as follows
|
[IPython Terminal]
t = linspace(200, 200, 500) |
We have an error now, telling x and y dimensions don't match.
So we will create same number of points for temperature.
t equals to linspace inside brackets 200 comma 200 comma 500. |
[IPython Terminal]
|
Now, we have 500 values in t and each with the value 200 Kelvin.
Plotting this data, we get the required plot.
plot inside brackets t comma 2 point 0 divided by v |
[Plot Window] | We can see two subplots of Pressure v/s Volume and Pressure v/s Temperature respectively. |
Show Slide
Summary slide |
This brings us to the end of this tutorial.
|
Show Slide
Evaluation
|
Here are some self assessment questions for you to solve.
|
Show Slide
Solutions |
And the answer is first option.
|
Show Slide
Forum |
Please post your timed queries in this forum. |
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Fossee Forum |
Please post your general queries on Python in this forum. |
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Textbook Companion |
FOSSEE team coordinates the TBC project. |
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Acknowledgement |
Spoken-tutorial is funded by NMEICT, MHRD, Govt. of India.
For more details, visit this website. |
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Thank You |
This is Usha from IIT Bombay signing off.
Thank You. |