# Plots

Two contours of the function are presented below:

# Description and Features

• The function is not convex.
• The function is defined on n-dimensional space.
• The function is non-separable.
• The function is differentiable.

# Input Domain

The function can be defined on any positive input domain but it is usually evaluated on $x_i \in [0, 10]$ for $i=1, …, n$.

# Global Minima

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

# Implementation

An implementation of the Alpine N. 1 Function with MATLAB is provided below.

The function can be represented in Latex as follows: