Laplacian or Laplace operator is a differential operator, denoted by the square of dell operator(∇²).

In latex, the Laplacian operator is represented by `\nabla^{2}`

command syntax.

```
\documentclass{article}
\begin{document}
\[ \nabla^{2} \]
\end{document}
```

**Output :**

And the Laplacian operator is expressed in the form of a dot product of two gradient operators. For example

```
\documentclass{article}
\begin{document}
\[ \nabla^{2}=\vec{\nabla}\cdot\vec{\nabla} \]
\[ \nabla^{2}=\frac{\partial^2 }{\partial x^2}+\frac{\partial^2 }{\partial y^2}+\frac{\partial^2 }{\partial z^2} \]
\end{document}
```

**Output :**

The best practice is to install the physics package to identify the Laplacian operator in the best way because the physics package contains the predetermined `\laplacian`

command to represent this operator.

```
\documentclass{article}
\usepackage{physics}
\begin{document}
\[ \laplacian \]
\[ \laplacian{f} \]
\[ \laplacian(f_{1}+f_{2}) \]
\[ \laplacian[f_{1}+f_{2}+\cdots+f_{n}] \]
\end{document}
```

**Output :**

In latex, nabla symbol of the laplacian operation cannot be in a bold format or a vector arrow mark above the symbol. Because this operator is a scalar operator.