# Mathematical Definition

# Plots

The contour of the function:

# 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 $x_i \in [-5.2, 5.2]$ for $i = 1, 2$.

# Global Minima

$f(\textbf{x}^{\ast}) = -1$ at $\textbf{x}^{\ast} = (0, 0)$

# Implementation

An implementation of the **Drop-Wave Function** with MATLAB is provided below.

The function can be represented in Latex as follows:

# References:

- http://www.sfu.ca/~ssurjano