# Line segment

The line segment with end points $LaTeX: x$ and $LaTeX: y$ in $LaTeX: \mathbb{R}^n$ is
$LaTeX: \{\alpah x + (1-\alpha)y: \alpha \in [0, 1]\},$
which is denoted $LaTeX: [x, y]$ and is the closed line segment. The open line segment is
$LaTeX: \{\alpah x + (1-\alpha)y: \alpha \in (0, 1)\},$