How to use LaTeX Hooked Left Arrow Symbol

July 30, 2023

To write the hooked left arrow symbol (↩) in LaTeX, use the LaTeX command \hookleftarrow. It will add ↩ arrow in the text.

In this article, we will discuss how to use hooked left arrow (↩) in the LaTeX document and their significance in the mathematical expressions and logical statements.

Symbol Overview

Symbol: Hooked left Arrow

Unicode: U+21A9

Type: Mathematical and Vector Symbol

Package Requirement: None (built-in symbol)

Argument: None (no additional arguments needed)

LaTeX Command: \hookleftarrow

Example: ↩

Description

The hooked left arrow is a built-in symbol available in LaTeX represented as an arrow pointing to the left (↩). It is widely used in mathematics and vectors. In mathematics context, it is used to represents a leftward transformation.

Syntax

The LaTeX command \hookleftarrow is used to display the hooked left arrow symbol.

\hookleftarrow

Let’s understand using hooked left arrow symbol in various domains like mathematics, vectors context with the help of examples.

Using the Hooked Left Arrow Symbol in a Mathematical Expression

\documentclass{article}
\begin{document}
\[ x^2 + 1 \hookleftarrow x^2 \]
\end{document}

Output: 👇️

x2 + 1 ↩ x2

Here in the above example, x^2 + 1 represents the result, and x^2 is transformed leftward with the hooked left arrow.

Using the Hooked Left Arrow Symbol in Vector Representations

\documentclass{article}
\begin{document}
\[ \vec{v} \hookleftarrow \vec{u} \]
\end{document}

Output: 👇️

⃗v ↩ ⃗u

In the above example, the \vec{v} and \vec{u} are vectors, and \hookleftarrowrepresents a leftward transformation from vector \vec{v} to vector \vec{u}.

Applications

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

Represents leftward transformations or steps in mathematical expressions.
Indicates vector transformations or relations in vector spaces.

Conclusion

Using the hooked left arrow symbol in LaTeX documents, you can use it in document to represent leftward transformation and vector relations. It helps to create visually appealing and formatted documents with enhanced mathematical and logical representations.