How to use LaTeX Left Harpoon Down Arrow Symbol

To write the left harpoon down arrow symbol (↽) in LaTeX, use the LaTeX command \leftharpoondown. It will add ↽ arrow in the text.

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

Symbol Overview

Symbol: Left Harpoon-Down Arrow

Unicode: U+21BD

Type: Mathematical and Vector Symbol

Package Requirement: None (built-in symbol)

Argument: None (no additional arguments needed)

LaTeX Command: \leftharpoondown

Example: ↽

Description

The left harpoon down arrow is a built-in symbol available in LaTeX represented as an arrow pointing to the left and downwards. It is widely used in mathematics and vectors. In mathematics context, it is used to represent a vector or transformation that point to the left and downwards.

It is used in vector calculus to dentore vector fields.

Syntax

The LaTeX command \leftharpoondown is used to display the left harpoon down arrow symbol.

\leftharpoondown

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

Using the Left Harpoon Down Arrow Symbol in a Mathematical Expression

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

Output: 👇️

⃗v↽

Here in the above example, \vec{v} represents a vector, and \leftharpoondown indicates the left and downwards direction of the vector.

Using the Left harpoon-down Arrow Symbol in Vector Calculus

\documentclass{article}
\begin{document}
\[ \nabla \times \mathbf{F} = 0 \leftharpoondown \]
\end{document}

Output: 👇️

∇ × F = 0 ↽

In the above example, the \nabla \times \mathbf{F} represents the curl of the vector field \mathbf{F}, and \leftharpoondown represents that the curl is zero in the left and downwards direction.

Applications

The left harpoon-down arrow symbol has versatile applications in LaTeX documents such as:

• Represents vectors or transformations that point to the left and downwards direction in mathematical expression or equations.
• Indicates vector fields or directions in vector calculus.

Conclusion

Using the left harpoon down arrow symbol in LaTeX documents, you can use it in document where leftward and downward direction, vector and vector fields pointing to the left and downwards are required. It helps to create visually appealing and formatted documents with enhanced mathematical and logical representations.