Math 2.0

Convex and discrete geometry Convex sets: basic notions Concept

Line segment

Summary

The line segment between two points is the set of all points on the straight path from one to the other, endpoints included. In a real vector space it is the set of convex combinations of the two points. A set is convex exactly when it contains the segment between any two of its points, so segments are the building blocks of convexity.

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Further reading

  1. Web https://en.wikipedia.org/wiki/Line_segment
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