Convex set
subset of an affine space that is closed under convex combinations
(Redirected from Convex)
In Euclidean space, a region is a convex set if the following is true. For any two points inside the region, a straight line segment can be drawn. If every point on that segment is inside the region, then the region is convex.
![](http://upload.wikimedia.org/wikipedia/commons/thumb/6/6b/Convex_polygon_illustration1.svg/220px-Convex_polygon_illustration1.svg.png)
![](http://upload.wikimedia.org/wikipedia/commons/thumb/6/6c/Convex_polygon_illustration2.svg/220px-Convex_polygon_illustration2.svg.png)
The point is that a convex curve forms the boundary of a convex set. So, any shape which is concave, or has a hollow, cannot be a convex set.
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