# 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.
- 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 $x \in [-10, 10]$ and $y \in [-10, 10]$ .

# Global Minima

The function has one global minimum $f(\textbf{x}^{\ast})=0$ at $\textbf{x}^{\ast} = (1, 1)$.

# Implementation

An implementation of the **Levi N. 13 Function** with MATLAB is provided below.

The function can be represented in Latex as follows:

# References: