Convex set

Revision as of 21:18, 12 July 2006 by ComplexZeta (talk | contribs)
(diff) ← Older revision | Latest revision (diff) | Newer revision → (diff)

A set $S$ of points (in some space that allows for addition and multiplication by real numbers) is said to be convex if for any $a,b\in S$ and $0\le t\le 1$, $ta+(1-t)b\in S$. For example, a disk (the interior of a circle) is convex, but the circle itself is not.

See Also

This article is a stub. Help us out by expanding it.