How to use LaTeX Mapsto Arrow Symbol

To write the mapsto arrow symbol (↦) in LaTeX, use the LaTeX command \mapsto. It will add ↦ arrow in the text.

In this article, we will discuss how to use mapsto arrow (↦) in the LaTeX document and their significance in the mathematical expressions and functions.

Symbol Overview

Symbol: Mapsto Arrow

Unicode: U+21A6

Type: Mathematical and Function Symbol

Package Requirement: None (built-in symbol)

Argument: None (no additional arguments needed)

LaTeX Command: \mapsto

Example:

Description

The mapsto arrow is a built-in symbol available in LaTeX represented as an arrow with a vertical bar pointing from the domain to the codomain (↦). It is widely used in mathematics to indicate functions and mappings. In mathematics context, it is used to represent the mapping of elements from one set (domain) to another set (codomain).

Syntax

The LaTeX command \mapsto is used to display the mapsto arrow symbol.

\mapsto

Let’s understand using mapsto arrow symbol in various domains like mathematics, functions with the help of examples.

Using the Mapsto Arrow Symbol to Represent a Function

\documentclass{article}
\begin{document}
\[ f: X \mapsto Y \]
\end{document}

Output: 👇️

f : X ↦ Y

Here in the above example, f represents a function that maps elements from the set X to the set Y.

Using the Mapsto Arrow Symbol in Mathematical Expressions.

\documentclass{article}
\begin{document}
\[ x^2 \mapsto x^3 \]
\end{document}

Output: 👇️

x2↦x3

In the above example, the symbol x^2 \mapsto x^3 indicates the mapping of x^2 to x^3.

Applications

The mapsto arrow symbol has versatile applications in LaTeX documents such as:

  • Represents functions and mapping between sets.
  • Indicates transformations or relations between mathematical expressions.

Conclusion

Using the mapsto arrow symbol in LaTeX documents, you can use it in document to denote functions and mappings between sets. It helps to create visually appealing and formatted documents with enhanced mathematical and logical representations.