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Convex set

Revision as of 22:18, 12 July 2006 by ComplexZeta (talk | contribs)
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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.

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