# Mathematical Definition

# Plots

Two contours of the function are 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.
- The function is differentiable.
- The function is non-separable.

# Input Domain

The function can be defined on any input domain but it is usually evaluated on $x_i \in [-5, 5]$ for $i=1, 2$.

# Global Minima

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

# Implementation

An implementation of the **Three-Hump Camel Function** with MATLAB is provided below.

The function can be represented in Latex as follows:

# References: