How to create an intersection symbol in LaTeX?

How to create an intersection symbol in LaTeX?

This post may contain affiliate links that allow us to earn a commission at no expense to you. Learn more

This article aims to show you the simplest and easiest way to write a degree symbol in LaTeX.

If you are working with sets or intervals you will definitely need to write the intersection symbol at some point. That’s why today you will learn how to write it in your LaTeX documents.

Intersection Symbol 

In mathematics, given two sets A and B, the intersection between both sets (or subset) is denoted by the symbols . Therefore the intersection of A and B will be defined as

$$A\cap B=\{x\,:\, x \in A \text{ or } x \in B\}$$
Definition of the intersection

This denotes the common section between the two sets.

Intersection Symbol in LaTeX

Now that we know how the formal definition looks in mathematics, it is time to learn how to insert this intersection character. To write this sign you use the command \cap, it takes no value as an argument and must be inside math mode.

It does not require extra packages since it is built-in. For example

\begin{document}
$$\left( A \cap B \right) \cap C$$
\end[document}

Gives the output

You may recall that it is similar to the union symbol command \cup, but instead of “backslash + cup”, it is “backslash + cap”.

It is possible to add superscripts or subscripts, depending on the context, for other notations used in set theory, for example,

\begin{document}
$$\cap_{i=1}^{n}X_{i}$$
\end[document}

Gives the output 

\cap command with limits

Big Intersection Symbol 

Just like the big union symbol, there is a big intersection symbol. To write it you use the command \bigcap, for example

\begin{document}
$$\bigcap_{i=1}^{n}A_{i}$$
\end{document}
Intersection of countably many sets

You can also write the limits with the intersection sing along with the limits, you can use the commands \bigcap and \limits, for example

\documentclass{article}
\begin{document}
\begin{center}
    $$\bigcup\limits_{i=1}^{\infty}A_{i}$$
\end{center}
\end{document}

It is also pretty common to talk about the empty set in set theory involving intersections of two given sets. For example

\documentclass{article}
\begin{document}
  $$A \cap \emptyset = \emptyset$$ %empty character
\end{document}

The intersection of any set with the empty set results in the empty set.

Sometimes LaTeX looks like Greek letters but don’t worry it only requires patience and more patience to master it, reading one greek letter at the time can help. Luckily now you know how to write this symbol in its two main forms in LaTeX.

I hope this article was helpful in guiding you in LaTeX, and as always keep writing in LaTeX.

Further Reading

LaTex Tutorial on Symbols

  1. How To Create A Cross Product Symbol In LaTeX
  2. How to create a hat symbol in LaTeX?
  3. How to create a prime symbol in LaTeX?
  4. How to create an absolute value symbol in LaTeX?
  5. How to create an approximate symbol in LaTeX?
  6. How to create the empty set symbol in LaTeX?
  7. How to write a degree symbol in LaTeX?
  8. How to write a dot product in LaTeX?
  9. How to Write a Greater Than Symbol in LaTeX?
  10. How to write a norm symbol in LaTeX?
  11. How to write A Plus-Minus Symbol in LaTeX
  12. How to write a proportional to symbol in LaTeX?
  13. How to write a real number symbol in LaTeX?
  14. How to write a tilde symbol in LaTeX?
  15. How to write a union symbol in LaTeX?
  16. How to write a vector in LaTeX?
  17. How to write an infinity symbol in LaTeX?
  18. How to write bold text in LaTeX?
  19. How To Write Dots Symbols In LaTeX?
  20. How to write the arrow symbols in LaTeX
  21. How to write the Degree celsius symbol in LaTeX?
  22. How to write the equal or not equal symbol in LaTeX?
  23. How to write the Euro symbol in LaTeX?
  24. How to write the floor symbol in LaTeX?
  25. How to write the gradient operator symbol in LaTeX
  26. How To Write The Greater Than Or Equal To Symbol In LaTeX?
  27. How to write the integer number symbol in LaTeX?
  28. How to write the less than symbol in LaTeX?
  29. How to write the Natural numbers symbol in LaTeX?
  30. How to write the parallel symbol in LaTeX?
  31. How to write the percent symbol in LaTeX?
  32. How to write the square root symbol in LaTeX?
  33. How To Write The Symbol For A Subset In LaTeX?
  34. How to write the symbol for therefore in LaTeX?
  35. How to write with the mathbb in LaTeX?

Photo of author
Author
SJ Tsai
Chief Editor. Writer wrangler. Research guru. Three years at scijournal. Hails from a family with five PhDs. When not shaping content, creates art. Peek at the collection on Etsy. For thoughts and updates, hit up Twitter.

Leave a Comment