LaTeX/C2/Equations/English
Initial conditions |
|
TeXworks: Lucida | Grande, 22pt, 20px. Preview: 75%, 200dpi |
Visual Cue | Narration |
Opening slide | Welcome to this tutorial on writing equations using LaTeX.
My name is Kannan Moudgalya. |
Learning objectives slide
Down arrow Down arrow Down arrow |
In this tutorial, we will learn
|
System requirements slide | One may use any of Linux, Windows or the Mac operating system.
One needs LaTeX. I shall use TexWorks, although it is not required. |
Prerequisites slide
Press Down arrow Down arrow |
What are the prerequisites?
One needs to be familiar with spoken tutorials that introduce LaTeX. Exposure to the recommended method of side-by-side learning. This information is available at the Spoken Tutorial webpage. |
Additional material slide | I shall use the file equations.tex |
Open in TeXworks | I have opened it in TeXworks. |
Back to slides file, press down arrow
Press down arrow Press down arrow |
It is available as a code file along with this tutorial.
You need to have it to practise along with me. If you don't have it, please download it from the Spoken Tutorial webpage. |
Slide on Leslie Lamport’s book
|
I will next call your attention to this standard textbook by Leslie Lamport.
I learnt my LaTeX from this book. It is available for about Rs. 500. |
Web browser is opened | Let me show on the web browser where one can buy it. |
Let us begin this tutorial | |
Open equations.tex
|
Let us learn how to write equations using LaTeX.
I have already opened the file equations.tex in TeXworks. I have saved it as numbers.tex to use in this tutorial. I will keep the file equations.tex intact, and not change it. |
Open numbers.tex | Let me open numbers.tex |
Please pause the tutorial, make this copy and open it.
Whenever you want to start afresh, you can make a new copy of equations.tex I recommend this method whenever a code file is given with ANY spoken tutorial. | |
Press the Typeset key | Let us compile this file by pressing the Typeset arrow at the top left hand corner. |
Pdf file | You can see the pdf file on the right. |
Switch to the tex file. | Let us look at the tex file, which begins with its usual commands. |
Highlight 8cm | I have chosen the width of the pdf file to be 8cm.
This is the only way I can show the entire file and also use a large font. |
Change 8 to 15 Put back 8 |
You may want to increase it to a more reasonable value, such as 15cm.
But I will continue to use 8cm. |
Click amsmath line | I am using the package amsmath. |
Click the first align | I write the first equation within the align star environment, as shown here. |
Switch to the pdf and highlight the equation. | You can see how it gets typeset in the pdf file. |
Click u(t) line in tex | On the left hand side of this equation, we have u of t. |
Click u(t) in the pdf file | On the right hand side, I have produced big square brackets. |
|
How did I do this?
With back slash left square and back slash right square brackets as shown here. |
Scroll the tex file up
|
Similarly, I write a second equation using align star. |
Click the x_1 line | On the left hand side, we have the derivative of a vector. |
Click on the eqn in the pdf file | We can see the pdf output here. |
Click on matrix tex | On the right hand side, we have a 3 by 3 matrix. |
Click on matrix pdf | See the corresponding output. |
Delete row 1 compile | Suppose we delete the first row in this matrix and compile. |
Click the pdf
|
We get a 2 by 3 matrix pdf output.
The first line is gone. It is your responsibility to make the equations correct and consistent. |
Undo the last command in tex | Let me put the row back. |
Compile | Let me compile. |
You can also add more rows, if necessary.
Similarly, you can change the columns, too. | |
Recall that we used the dollar mode to write formulae in another tutorial. | |
Click on begin align in tex | Here, align plays the role of the dollar mode.
In fact, one should not put the dollar sign within the align environment. |
Put $ and compile
|
Suppose we put the alpha symbol within $ signs and compile. |
Error message | We get an error message about dollar. |
Press red cross symbol to abort | Press the cross symbol on the top left red box and abort the previous compilation. |
Remove $ signs | Let us remove the dollar sign.
Compile again, it works! |
Below the line with alpha, leave a blank line
|
Another common mistake is leaving blank lines in the align environment.
Let me leave an empty line and compile. |
Error message | It gives an error message. |
Put % | If you need this gap, put %, the comment character, in the first column. |
Press red cross symbol to abort | Abort compiling. |
Press Typeset symbol to compile | Compile again - it compiles ok.
So it is important to remember that you should not leave a blank line within the align statement. |
Remove the blank line | Let me remove this line and compile. |
Next, I want to align the two equations by the equal to sign.
For this, we need to put both equations inside one align star environment. | |
Remove \end{align*}
Remove \begin{align*} |
Remove the end align* command of the first equation.
Remove the begin align* command of the second equation. |
Compile | Let us compile. |
In the pdf file | We see only one equation appearing.
The text in between the two equations appears as a large string. The second equation does not even show up. |
This is not what we wanted.
This problem is solved with the help of the intertext command. | |
Add braces before and after the text. | Let us put the text in between braces. |
Put the text into \intertext{}
|
Let us also put this command, back slash intertext as I type now.
Note that intertext is one word, without a space in between. |
Point to the \ | Do not forget the back slash before intertext. |
Point to the closing brace | Also, do not forget the closing brace.
These are all common mistakes. |
Compile
|
On compiling, we get this pdf file.
You see both equations now. But unfortunately, you see both the equations right aligned. Not aligned by the equal to sign. |
So, I am not happy with it.
I want to align by the equal to sign. | |
Put & sign before = | To do this, let us put the ampersand sign in front of the equal to sign.
Let's do it for the first equation. |
Repeat in the 2nd eqn.
|
And then let's do it for the second equation.
If you have more equations to be aligned, do this for all of them. |
Compile | On compiling, we see the two equations aligned by the equal to sign. |
The equations are aligned even though there is text in between.
Remember to use the intertext command whether you want the equations aligned or not. | |
Delete text lines |
What do we do if we don’t have text between equations?
To understand this, let us delete the entire text between the two equations. |
Put \\ | Note that we should not leave an empty line. |
Compile | On compiling, we see both equations coming in the same line.
We didn’t tell LaTeX to start the second equation in the next line. |
Add \\ | We solve this by putting two back slashes at the end of the first equation. |
Compile | Let us compile, to get the correct pdf file. |
Undo | Let us now undo and put the text in between two equations. |
Compile | Let us compile once more. |
This is where we will stop.
Let me go to the slides. | |
Summary slide
Down arrow Down arrow |
This page summarises what we learnt in this tutorial.
Please recall each of these commands. This is your first assignment. |
More assignments slide
Down arrow |
I will give some more assignments.
Can you pause the video and try to produce these equations? The required code is given here. |
Assignment 3 | Can you produce these equations?
Notice that these equations are now aligned at the equal to sign. |
Assignment 4 | What happens if you forget a required ampersand sign?
Please pause the video and try this input. You should get this output. Forgetting ampersand signs is a common mistake made by everyone! |
Assignment 5 | Can you pause this video and try to produce this output?
Use the hint given here. |
Assignment 6 | In this assignment, you have to align three equations.
Please pause the video here, and try to produce them by yourself. I have given the answer here. |
Assignment 7 | I have the last assignment in this slide.
Insert some text between equations. |
About the ST slide | I will now give some general information.
This video summarises the Spoken Tutorial project. |
Workshops slide | We conduct workshops using Spoken Tutorials. |
Answers slide
Press down arrow Down arrow Down arrow Down arrow Down arrow twice |
Do you have questions in THIS Spoken Tutorial?
|
Where to post slide | For topics not covered in spoken tutorials, visit stack exchange at this address. |
Contact us slide | For any other questions, please contact us. |
Acknowledgement slide | Spoken Tutorial project is funded by MHRD, Government of India. |
Thanks for joining.
Goodbye. |