# Mathematical Definition

# Plots

The contour of the function is as presented below:

# Description and Features

- The function is continuous.
- The function is not convex.
- The function is defined on 2-dimensional space.
- The function is multimodal.

# Input Domain

The function can be defined on any input domain but it is usually evaluated on $x \in [-4.5, 4.5]$ for all $i = 1, 2$.

# Global Minima

The function has one global minimum at: $f(x^*)=0$ at $\textbf{x}^{\ast} = (3, 0.5)$.

# Implementation

An implementation of the **Beale Function** with MATLAB is provided below.

The function can be represented in Latex as follows:

# References: