Line segment

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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)\},


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