Difference between revisions of "Python-3.4.3/C2/Embellishing-a-plot/English"
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'''Title of script''': '''Embellishing a Plot''' | '''Title of script''': '''Embellishing a Plot''' | ||
− | '''Author: ''' | + | '''Author: ''' Pravin,''' '''Aditya Palaparthy''' |
'''Keywords: Python, IPython,''' '''plot, title''' | '''Keywords: Python, IPython,''' '''plot, title''' | ||
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Objectives | Objectives | ||
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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;"| At the end of this tutorial, we will learn to- | | 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, we will learn to- | ||
− | |||
# Modify the attributes of the '''plot''' -- '''color''', '''line style''', '''linewidth'''. | # Modify the attributes of the '''plot''' -- '''color''', '''line style''', '''linewidth'''. | ||
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# Add annotations to the '''plot'''. | # Add annotations to the '''plot'''. | ||
# Set and get the '''limits '''of '''axes'''. | # Set and get the '''limits '''of '''axes'''. | ||
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− | |||
|- | |- | ||
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* '''Python 3.4.3''' | * '''Python 3.4.3''' | ||
* '''IPython 5.1.0''' | * '''IPython 5.1.0''' | ||
− | |||
− | |||
|- | |- | ||
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'''ipython3 '''and press '''Enter.''' | '''ipython3 '''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 start '''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 start '''ipython3'''. | ||
− | |||
Open the '''terminal.''' | Open the '''terminal.''' | ||
− | |||
Type '''ipython3 '''and press '''Enter.''' | Type '''ipython3 '''and press '''Enter.''' | ||
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'''%pylab '''and press '''Enter.''' | '''%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 '''percentage pylab '''and press''' Enter.''' | |
− | Type ''' | + | |
|- | |- | ||
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− | Type '''x = linspace inside the brackets minus 2 comma 4 comma 20 '''and press '''Enter.''' | + | Type '''x = linspace''' inside the '''brackets minus 2 comma 4 comma 20 '''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;"| '''plot(x, sin(x)) '''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;"| '''plot(x, sin(x)) '''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;"| Then type '''plot inside the brackets x comma sin(x) '''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;"| Then type '''plot''' inside the '''brackets x comma sin(x) '''and press '''Enter.''' |
|- | |- | ||
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'''plot(x, sin(x), 'r') '''and press '''Enter.''' | '''plot(x, sin(x), 'r') '''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;"| Now '''plot''' the same '''sine curve '''with an additional '''color | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now '''plot''' the same '''sine curve '''with an additional '''color argument'''. |
− | So we will type '''plot inside the brackets x comma sin(x) comma inside inverted commas r '''and press '''Enter.''' | + | So we will type '''plot''' inside the '''brackets x comma sin(x) comma''' inside '''inverted commas r '''and press '''Enter.''' |
Here, the '''argument 'r' '''is for red color. | Here, the '''argument 'r' '''is for red color. | ||
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− | So, type '''plot inside the brackets x comma cos(x) comma linewidth equals to 2 '''and press '''Enter.''' | + | So, type '''plot''' inside the '''brackets x comma cos(x) comma linewidth equals to 2 '''and press '''Enter.''' |
|- | |- | ||
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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] | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Here onwards, press the '''Enter''' the key to execute every command that we type on the '''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;"| Here onwards, |
+ | *press the '''Enter''' the key to execute every command | ||
+ | *that we type on the '''Ipython console'''. | ||
|- | |- | ||
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'''plot(x, sin(x), 'b', linewidth=3)''' | '''plot(x, sin(x), 'b', linewidth=3)''' | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now type''' plot inside the brackets x comma sin(x) comma inside inverted commas b comma linewidth equals to 3''' | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now type''' plot''' inside the '''brackets x comma sin(x) comma''' inside '''inverted commas b comma linewidth equals to 3''' |
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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 type '''plot''' inside the '''brackets x comma sin(x) comma''' inside '''inverted commas dot.''' | |
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now type '''plot inside the brackets x comma sin(x) comma inside inverted commas dot.''' | + | |
|- | |- | ||
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− | '''Plot''' the '''curve''' of '''x | + | '''Plot''' the '''curve''' of '''x verses cos(x)''' in red '''dash line''' and '''linewidth''' 3. |
|- | |- | ||
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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 type '''plot inisde brackets x comma cos(x) comma inside inverted commas r hypen hypen comma linewidth equals to 3''' | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Now type '''plot''' inisde '''brackets x comma cos(x) comma''' inside '''inverted commas r hypen hypen comma linewidth equals to 3''' |
− | We use a combination of '''linewidth | + | We use a combination of '''linewidth argument''' and '''linestyle'''. |
|- | |- | ||
| 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;"| | ||
− | | 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 know how to produce a '''bare minimum plot''' with '''color | + | | 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 know how to produce a '''bare minimum plot''' with '''color, style''' and '''thickness'''. |
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'''plot(x, -x*x + 4*x - 5, 'r', linewidth=2) ''' | '''plot(x, -x*x + 4*x - 5, 'r', linewidth=2) ''' | ||
− | | 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 start with a '''plot''' for the '''function | + | | 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 start with a '''plot''' for the '''function minus x square plus 4x minus 5. ''' |
− | Now type '''plot inside the brackets x comma minus x multiplied by x plus 4 multiplied by x minus 5 comma | + | Now type '''plot''' inside the '''brackets x comma minus x multiplied by x plus 4 multiplied by x minus 5 comma''' inside '''inverted commas r comma linewidth equals to 2''' |
|- | |- | ||
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'''title("Parabolic function -x^2+4x-5")''' | '''title("Parabolic function -x^2+4x-5")''' | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| To add a title to the '''plot''', use the '''title | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| To add a title to the '''plot''', use the '''title command'''. |
− | So type '''title inside the brackets inside inverted commas Parabolic function minus x square plus 4x minus 5''' | + | So type '''title''' inside the '''brackets''' inside '''inverted commas Parabolic function minus x square plus 4x minus 5''' |
|- | |- | ||
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Highlight the '''title '''command | Highlight the '''title '''command | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| The '''title''' | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| The '''title command''' as you can see, takes a '''string''' as an '''argument.''' |
|- | |- | ||
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'''title(r"Parabolic function $-x^2+4x-5$") ''' | '''title(r"Parabolic function $-x^2+4x-5$") ''' | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| For '''LaTeX''' format, we put a ''' | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| For '''LaTeX''' format, we put a '''dollar sign '''before and after the '''string'''. |
− | Type '''title inside the brackets r inside inverted commas Parabolic function dollar minus x square plus 4x minus 5 dollar''' | + | Type '''title''' inside the '''brackets r''' inside '''inverted commas Parabolic function dollar minus x square plus 4x minus 5 dollar''' |
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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;"| Although we have '''title''', the '''plot''' is not complete without labelling the '''x '''and '''y axes'''. | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Although we have '''title''', the '''plot''' is not complete without labelling the '''x '''and '''y axes'''. | ||
− | So we will '''label | + | So we will '''label x''' and '''y axes''' in '''LaTeX style'''. |
− | Type '''xlabel inside the brackets r | + | Type '''xlabel''' inside the '''brackets r''' inside '''inverted commas dollar x dollar '''and''' ylabel''' inside '''brackets r''' inside '''inverted commas dollar y dollar ''' |
|- | |- | ||
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− | Now we will name the '''points''' considering '''point(2 | + | Now we will name the '''points''' considering '''point(2 comma minus 1)''' as '''local maxima'''. |
− | To name a '''point''' we use the '''function | + | To name a '''point,''' we use the '''function annotate'''. |
− | Type '''annotate inside the brackets | + | Type '''annotate''' inside the '''brackets''' inside '''inverted commas local maxima comma xy equals to''' inside '''brackets 2 comma minus 1''' |
|- | |- | ||
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Show the annotation that has appeared on the plot | Show the annotation that has appeared on the plot | ||
− | | 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 see the '''local maxima''' at point '''(2 | + | | 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 see the '''local maxima''' at point '''(2 comma minus 1)''' |
|- | |- | ||
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Point at the annotate command while explaining | Point at the annotate command while explaining | ||
− | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| The first '''argument''' in '''annotate''' | + | | style="background-color:#ffffff;border:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| The first '''argument''' in '''annotate command''' is the name of the point. |
− | The second '''argument''' represents the '''coordinates '''of | + | The second '''argument''' represents the '''coordinates '''of the '''point'''. |
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'''ylim(-15, 2)''' | '''ylim(-15, 2)''' | ||
− | | style="background-color:#ffffff;border-top:none;border-bottom:0.5pt solid #000001;border-left:0.5pt solid #000001;border-right:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Set the '''limits of x-axis''' from | + | | style="background-color:#ffffff;border-top:none;border-bottom:0.5pt solid #000001;border-left:0.5pt solid #000001;border-right:0.5pt solid #000001;padding-top:0in;padding-bottom:0in;padding-left:0.0382in;padding-right:0.075in;"| Set the '''limits of x-axis''' from '''minus''' 4 to 5 by typing '''xlim inside the brackets minus 4 comma 5''' |
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− | Type '''ylim inside the brackets minus 15 comma 2.''' | + | Type '''ylim''' inside the '''brackets minus 15 comma 2.''' |
|- | |- | ||
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− | Make an '''annotation''' called "'''root'''" at the '''point ( | + | Make an '''annotation''' called "'''root'''" at the '''point (minus 4 comma 0)'''. |
What happens to the first '''annotation'''? | What happens to the first '''annotation'''? | ||
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− | Type '''annotate inside the brackets | + | Type '''annotate''' inside the '''brackets''' inside '''inverted commas root comma xy equals to''' inside '''brackets minus 4 comma 0''' |
− | Every '''annotate | + | Every '''annotate command''' makes a new '''annotation''' on the figure. |
|- | |- | ||
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− | # Modify the '''attributes''' of a '''plot''' like '''color | + | # Modify the '''attributes''' of a '''plot''' like '''color, line width, line style''' by passing additional '''arguments'''. |
− | # Add '''title '''to a '''plot''' using ''''title | + | # Add '''title '''to a '''plot''' using ''''title command'''. |
# Incorporate '''LaTeX style formatting''' by adding a $ sign before and after the '''string'''. | # Incorporate '''LaTeX style formatting''' by adding a $ sign before and after the '''string'''. | ||
− | # Label '''x and y axes''' using '''xlabel()''' and '''ylabel() | + | # Label '''x''' and '''y axes''' using '''xlabel()''' and '''ylabel() commands'''. |
− | # Add '''annotations''' to a plot using '''annotate() | + | # Add '''annotations''' to a plot using '''annotate() command'''. |
− | # Get and set the '''limits of axes''' using '''xlim()''' and '''ylim() | + | # Get and set the '''limits of axes''' using '''xlim()''' and '''ylim() commands. ''' |
− | + | ||
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Evaluation | Evaluation | ||
− | |||
− | |||
| 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. | ||
− | # Draw a '''plot''' of '''cosine graph''' between ''' | + | # Draw a '''plot''' of '''cosine graph''' between '''minus''' '''2pi to 2pi''' with line thickness 4. |
# Read the documentation and find out, is there a way to modify the '''alignment''' of text in the '''command ylabel'''. | # Read the documentation and find out, is there a way to modify the '''alignment''' of text in the '''command ylabel'''. | ||
− | |||
− | |||
− | |||
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− | |||
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|- | |- | ||
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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;"| And the answers, | | 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 answers, | ||
− | 1. In order to '''plot''' a '''cosine graph''' between the points | + | 1. In order to '''plot''' a '''cosine graph''' between the points '''minus '''2pi and 2pi with line thickness 4,we use the '''linspace''' and''' plot''' '''command '''as, |
− | '''x | + | '''x equals to linspace inside the brackets minus 2pi comma 2pi.''' |
'''plot (x comma cos(x) comma linewidth equals to 4)''' | '''plot (x comma cos(x) comma linewidth equals to 4)''' | ||
+ | |||
+ | The answer to the second question is: | ||
2. No. We do not have an option to modify the '''alignment '''of text in the '''command''' '''ylabel'''. | 2. No. We do not have an option to modify the '''alignment '''of text in the '''command''' '''ylabel'''. |
Latest revision as of 13:25, 28 February 2017
Python/C2/Embellishing a Plot/English
Title of script: Embellishing a Plot
Author: Pravin, Aditya Palaparthy
Keywords: Python, IPython, plot, title
|
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Title Slide | Hello Friends. Welcome to the tutorial on "Embellishing a Plot". |
Show Slide
Objectives |
At the end of this tutorial, we will learn to-
|
Show Slide
System Requirements |
To record this tutorial, I am using
|
Show slide
Pre-requisites |
To practice this tutorial, you should know how to
If not, see the pre-requisite Python tutorials on this website. |
[Terminal]
ipython3 and press Enter. |
Let us start ipython3.
Open the terminal. Type ipython3 and press Enter. |
[IPython console]
%pylab and press Enter. |
Let us initialise the pylab package
Type percentage pylab and press Enter. |
[IPython console]
x = linspace(-2, 4, 20) and press Enter. |
We shall first make a simple plot and start modifying it.
|
plot(x, sin(x)) and press Enter. | Then type plot inside the brackets x comma sin(x) and press Enter. |
[Plot Window] | We can now see the sine curve in the plot window.
|
Let us now change the parameters of this curve.
| |
[IPython console]
clf() and press Enter. |
We shall first clear the plot window by typing clf() in the ipython console. |
[Plot window] | You can now see a blank plot window. |
[IPython console]
plot(x, sin(x), 'r') and press Enter. |
Now plot the same sine curve with an additional color argument.
Here, the argument 'r' is for red color. |
Show the sine curve on the plot window by moving the mouse pointer on it.
|
On the plot window, the same sine curve is now seen in red color.
|
[Ipython console] | We can alter the thickness of the line by using the 'linewidth' argument. |
[IPython console]
|
This time we will draw the cosine curve on the plot window.
|
[Plot window]
compare the sine and cosine plots |
A cosine curve with line thickness 2 is produced in the plot window. |
Let us now try to plot a sine curve in blue color with linewidth as 3. | |
[IPython console] | Here onwards,
|
[IPython console]
clf() |
First let us clear the plot window by typing clf().
You will again see a blank plot window. |
[IPython console]
plot(x, sin(x), 'b', linewidth=3) |
Now type plot inside the brackets x comma sin(x) comma inside inverted commas b comma linewidth equals to 3
|
[Ipython console] | To get the plot in dotted style instead of a solid style, put a dot in linestyle. |
[IPython console]
clf() |
First, type clf() to clear the plot window. |
[IPython console]
plot(x, sin(x), '.')
|
Now type plot inside the brackets x comma sin(x) comma inside inverted commas dot. |
[Plot Window] | We get the sine curve in dotted style. |
[IPython console]
plot? Run through the information and show the options available Show the options available for line style and colors |
Let's see the information of plot.
|
Show Slide
Exercise 1
|
Pause the video. Try this exercise and then resume the video
|
Let us switch to the console for the solution. | |
[IPython console]
clf() |
Type clf() to clear the plot window. |
[IPython console]
plot(x, cos(x), 'r--',linewidth=3)
|
Now type plot inisde brackets x comma cos(x) comma inside inverted commas r hypen hypen comma linewidth equals to 3
|
Now we know how to produce a bare minimum plot with color, style and thickness.
| |
[IPython console]
plot(x, -x*x + 4*x - 5, 'r', linewidth=2) |
Let us start with a plot for the function minus x square plus 4x minus 5.
|
[Plot window] | We will see the curve of this equation in the plot window.
|
[IPython console]
title("Parabolic function -x^2+4x-5") |
To add a title to the plot, use the title command.
|
[IPython console]
Highlight the title command |
The title command as you can see, takes a string as an argument. |
Show the plot window and point to the title | We can see the title on the plot window.
|
Show the plot window and point to the title | It would look even more shabby if there were fractions and complex functions.
|
[IPython console]
title(r"Parabolic function $-x^2+4x-5$") |
For LaTeX format, we put a dollar sign before and after the string.
It will ignore all escape codes. |
[Plot Window]
Point at the polynomial |
As we can see that the polynomial in the title is now formatted. |
[IPython console]
xlabel(r"$x$") ylabel(r"$y$") |
Although we have title, the plot is not complete without labelling the x and y axes.
So we will label x and y axes in LaTeX style.
|
[IPython console]
|
The plot is now almost complete.
|
[Plot Window]
|
We can see the local maxima at point (2 comma minus 1) |
[IPython console]
|
The first argument in annotate command is the name of the point.
|
[IPython console]
xlim() ylim() |
Next, type xlim brackets
xlim function returns the current x axis limits.
ylim function returns the current y-axis limits. |
[IPython console]
ylim(-15, 2) |
Set the limits of x-axis from minus 4 to 5 by typing xlim inside the brackets minus 4 comma 5
|
Show Slide
Exercise 2
|
Pause the video. Try this exercise and then resume the video.
What happens to the first annotation? |
[IPython console]
|
Switch to the Ipython console for the solution.
|
Show Slide
Summary slide
|
This brings us to the end of this tutorial. In this tutorial, we have learnt to,
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Show Slide
Evaluation |
Here are some self assessment questions for you to solve.
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Show Slide
Solutions
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And the answers,
1. In order to plot a cosine graph between the points minus 2pi and 2pi with line thickness 4,we use the linspace and plot command as, x equals to linspace inside the brackets minus 2pi comma 2pi. plot (x comma cos(x) comma linewidth equals to 4) The answer to the second question is: 2. No. We do not have an option to modify the alignment of text in the command ylabel. |
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